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

%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : TOP011-1 : 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 : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 03:53:34 PM UTC 2026

% Result   : Satisfiable 9.15s 1.92s
% Output   : Saturation 0.83s
% 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,
    ( subset_collections(g,f)
    | element_of_set(cu,top_of_basis(f)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f111,negated_conjecture,
    ( equal_sets(cu,union_of_members(g))
    | element_of_set(cu,top_of_basis(f)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f112,negated_conjecture,
    ! [X] :
      ( ~ equal_sets(cu,union_of_members(X))
      | ~ subset_collections(X,f)
      | ~ element_of_set(cu,top_of_basis(f)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f271,plain,
    ( subset_collections(g,f)
    | element_of_set(cu,top_of_basis(f)) ),
    inference(cnf_transformation,[status(thm)],[f110]) ).

fof(f272,plain,
    ( equal_sets(cu,union_of_members(g))
    | element_of_set(cu,top_of_basis(f)) ),
    inference(cnf_transformation,[status(thm)],[f111]) ).

fof(f273,plain,
    ! [X0] :
      ( ~ equal_sets(cu,union_of_members(X0))
      | ~ subset_collections(X0,f)
      | ~ element_of_set(cu,top_of_basis(f)) ),
    inference(cnf_transformation,[status(thm)],[f112]) ).

fof(f274,definition,
    ( sQ0_spl
  <=> element_of_set(cu,top_of_basis(f)) ),
    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).

fof(f275,plain,
    ( ~ sQ0_spl
    | element_of_set(cu,top_of_basis(f)) ),
    inference(component_clause,[status(thm)],[f274]) ).

fof(f276,plain,
    ( sQ0_spl
    | ~ element_of_set(cu,top_of_basis(f)) ),
    inference(component_clause,[status(thm)],[f274]) ).

fof(f277,definition,
    ( sQ1_spl
  <=> subset_collections(g,f) ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f278,plain,
    ( ~ sQ1_spl
    | subset_collections(g,f) ),
    inference(component_clause,[status(thm)],[f277]) ).

fof(f279,plain,
    ( sQ1_spl
    | ~ subset_collections(g,f) ),
    inference(component_clause,[status(thm)],[f277]) ).

fof(f280,plain,
    ( sQ1_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f271,f274,f277]) ).

fof(f281,definition,
    ( sQ2_spl
  <=> equal_sets(cu,union_of_members(g)) ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f282,plain,
    ( ~ sQ2_spl
    | equal_sets(cu,union_of_members(g)) ),
    inference(component_clause,[status(thm)],[f281]) ).

fof(f284,plain,
    ( sQ2_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f272,f274,f281]) ).

fof(f285,definition,
    ! [X0] :
      ( sQ3_spl
    <=> ( ~ equal_sets(cu,union_of_members(X0))
        | ~ subset_collections(X0,f) ) ),
    introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).

fof(f286,plain,
    ! [X0] :
      ( ~ sQ3_spl
      | ~ equal_sets(cu,union_of_members(X0))
      | ~ subset_collections(X0,f) ),
    inference(component_clause,[status(thm)],[f285]) ).

fof(f288,plain,
    ( sQ3_spl
    | ~ sQ0_spl ),
    inference(split_clause,[status(thm)],[f273,f274,f285]) ).

fof(f289,plain,
    ! [X0,X1,X2] :
      ( ~ element_of_set(X2,f2(X1,X0))
      | element_of_set(X2,union_of_members(X1))
      | element_of_set(X0,intersection_of_members(X1)) ),
    inference(resolution,[status(thm)],[f119,f116]) ).

fof(f290,plain,
    ! [X0,X1,X2] :
      ( element_of_set(f11(X2,f2(X0,X1)),union_of_members(X0))
      | element_of_set(X1,intersection_of_members(X0))
      | element_of_collection(f2(X0,X1),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f165,f289]) ).

fof(f291,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)],[f165,f118]) ).

fof(f292,plain,
    ! [X0,X1] :
      ( element_of_collection(f1(X0,f11(X1,union_of_members(X0))),X0)
      | element_of_collection(union_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f165,f114]) ).

fof(f293,plain,
    ! [X0,X1] :
      ( element_of_set(f11(X1,union_of_members(X0)),f1(X0,f11(X1,union_of_members(X0))))
      | element_of_collection(union_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f165,f113]) ).

fof(f294,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)],[f290,f114]) ).

fof(f295,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)],[f290,f113]) ).

fof(f296,plain,
    ! [X0,X1,X2,X3] :
      ( ~ element_of_set(X3,f1(X0,f11(X2,f2(X0,X1))))
      | element_of_set(X3,union_of_members(X0))
      | element_of_set(X1,intersection_of_members(X0))
      | element_of_collection(f2(X0,X1),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f294,f116]) ).

fof(f298,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f1(X0,f11(X2,f2(X0,X1))),top_of_basis(X3))
      | element_of_set(f11(X3,f1(X0,f11(X2,f2(X0,X1)))),union_of_members(X0))
      | element_of_set(X1,intersection_of_members(X0))
      | element_of_collection(f2(X0,X1),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f296,f165]) ).

fof(f300,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))),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)],[f298,f114]) ).

fof(f301,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(f11(X3,f1(X0,f11(X2,f2(X0,X1)))),f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))
      | 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)],[f298,f113]) ).

fof(f302,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ element_of_set(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))
      | element_of_set(X4,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)],[f300,f116]) ).

fof(f304,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))),top_of_basis(X4))
      | element_of_set(f11(X4,f1(X0,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)],[f302,f165]) ).

fof(f306,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))),X0)
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))),top_of_basis(X4))
      | 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)],[f304,f114]) ).

fof(f307,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1)))))),f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))),top_of_basis(X4))
      | 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)],[f304,f113]) ).

fof(f308,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ element_of_set(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))
      | element_of_set(X5,union_of_members(X0))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))),top_of_basis(X4))
      | 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)],[f306,f116]) ).

fof(f309,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))),top_of_basis(X5))
      | element_of_set(f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1)))))))),union_of_members(X0))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))),top_of_basis(X4))
      | 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)],[f308,f165]) ).

fof(f312,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))),X0)
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))),top_of_basis(X4))
      | 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)],[f309,f114]) ).

fof(f313,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_set(f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1)))))))),f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))),top_of_basis(X4))
      | 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)],[f309,f113]) ).

fof(f314,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ element_of_set(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))))
      | element_of_set(X6,union_of_members(X0))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))),top_of_basis(X4))
      | 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)],[f312,f116]) ).

fof(f315,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_collection(f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))),top_of_basis(X6))
      | element_of_set(f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1)))))))))),union_of_members(X0))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))),top_of_basis(X4))
      | 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)],[f314,f165]) ).

fof(f318,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_collection(f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))))),X0)
      | element_of_collection(f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))),top_of_basis(X6))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))),top_of_basis(X4))
      | 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)],[f315,f114]) ).

fof(f319,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_set(f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1)))))))))),f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))))))
      | element_of_collection(f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))),top_of_basis(X6))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))),top_of_basis(X4))
      | 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)],[f315,f113]) ).

fof(f320,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ element_of_set(X7,f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))))))
      | element_of_set(X7,union_of_members(X0))
      | element_of_collection(f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))),top_of_basis(X6))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))),top_of_basis(X4))
      | 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)],[f318,f116]) ).

fof(f321,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( element_of_collection(f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))))),top_of_basis(X7))
      | element_of_set(f11(X7,f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1)))))))))))),union_of_members(X0))
      | element_of_collection(f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))),top_of_basis(X6))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))),top_of_basis(X4))
      | 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)],[f320,f165]) ).

fof(f324,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( element_of_collection(f1(X0,f11(X7,f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))))))),X0)
      | element_of_collection(f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))))),top_of_basis(X7))
      | element_of_collection(f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))),top_of_basis(X6))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))),top_of_basis(X4))
      | 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)],[f321,f114]) ).

fof(f325,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( element_of_set(f11(X7,f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1)))))))))))),f1(X0,f11(X7,f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))))))))
      | element_of_collection(f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))))),top_of_basis(X7))
      | element_of_collection(f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))),top_of_basis(X6))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))),top_of_basis(X4))
      | 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)],[f321,f113]) ).

fof(f326,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ element_of_set(X8,f1(X0,f11(X7,f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))))))))
      | element_of_set(X8,union_of_members(X0))
      | element_of_collection(f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))))),top_of_basis(X7))
      | element_of_collection(f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))),top_of_basis(X6))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))),top_of_basis(X4))
      | 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)],[f324,f116]) ).

fof(f327,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( element_of_collection(f1(X0,f11(X7,f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))))))),top_of_basis(X8))
      | element_of_set(f11(X8,f1(X0,f11(X7,f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1)))))))))))))),union_of_members(X0))
      | element_of_collection(f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))))),top_of_basis(X7))
      | element_of_collection(f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))),top_of_basis(X6))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))),top_of_basis(X4))
      | 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)],[f326,f165]) ).

fof(f330,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( element_of_collection(f1(X0,f11(X8,f1(X0,f11(X7,f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))))))))),X0)
      | element_of_collection(f1(X0,f11(X7,f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))))))),top_of_basis(X8))
      | element_of_collection(f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))))),top_of_basis(X7))
      | element_of_collection(f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))),top_of_basis(X6))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))),top_of_basis(X4))
      | 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)],[f327,f114]) ).

fof(f331,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( element_of_set(f11(X8,f1(X0,f11(X7,f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1)))))))))))))),f1(X0,f11(X8,f1(X0,f11(X7,f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))))))))))
      | element_of_collection(f1(X0,f11(X7,f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))))))),top_of_basis(X8))
      | element_of_collection(f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))))),top_of_basis(X7))
      | element_of_collection(f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))),top_of_basis(X6))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))),top_of_basis(X4))
      | 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)],[f327,f113]) ).

fof(f332,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ element_of_set(X9,f1(X0,f11(X8,f1(X0,f11(X7,f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))))))))))
      | element_of_set(X9,union_of_members(X0))
      | element_of_collection(f1(X0,f11(X7,f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))))))),top_of_basis(X8))
      | element_of_collection(f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))))),top_of_basis(X7))
      | element_of_collection(f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))),top_of_basis(X6))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))),top_of_basis(X4))
      | 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)],[f330,f116]) ).

fof(f334,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( element_of_collection(f1(X0,f11(X8,f1(X0,f11(X7,f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))))))))),top_of_basis(X9))
      | element_of_set(f11(X9,f1(X0,f11(X8,f1(X0,f11(X7,f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1)))))))))))))))),union_of_members(X0))
      | element_of_collection(f1(X0,f11(X7,f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))))))),top_of_basis(X8))
      | element_of_collection(f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))))),top_of_basis(X7))
      | element_of_collection(f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))),top_of_basis(X6))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))),top_of_basis(X4))
      | 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)],[f332,f165]) ).

fof(f336,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( element_of_collection(f1(X0,f11(X9,f1(X0,f11(X8,f1(X0,f11(X7,f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))))))))))),X0)
      | element_of_collection(f1(X0,f11(X8,f1(X0,f11(X7,f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))))))))),top_of_basis(X9))
      | element_of_collection(f1(X0,f11(X7,f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))))))),top_of_basis(X8))
      | element_of_collection(f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))))),top_of_basis(X7))
      | element_of_collection(f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))),top_of_basis(X6))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))),top_of_basis(X4))
      | 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)],[f334,f114]) ).

fof(f337,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( element_of_set(f11(X9,f1(X0,f11(X8,f1(X0,f11(X7,f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1)))))))))))))))),f1(X0,f11(X9,f1(X0,f11(X8,f1(X0,f11(X7,f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))))))))))))
      | element_of_collection(f1(X0,f11(X8,f1(X0,f11(X7,f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))))))))),top_of_basis(X9))
      | element_of_collection(f1(X0,f11(X7,f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))))))),top_of_basis(X8))
      | element_of_collection(f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))))),top_of_basis(X7))
      | element_of_collection(f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))),top_of_basis(X6))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))),top_of_basis(X4))
      | 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)],[f334,f113]) ).

fof(f338,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ element_of_set(X10,f1(X0,f11(X9,f1(X0,f11(X8,f1(X0,f11(X7,f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))))))))))))
      | element_of_set(X10,union_of_members(X0))
      | element_of_collection(f1(X0,f11(X8,f1(X0,f11(X7,f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))))))))),top_of_basis(X9))
      | element_of_collection(f1(X0,f11(X7,f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))))))),top_of_basis(X8))
      | element_of_collection(f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))))),top_of_basis(X7))
      | element_of_collection(f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))),top_of_basis(X6))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))),top_of_basis(X4))
      | 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)],[f336,f116]) ).

fof(f340,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( element_of_collection(f1(X0,f11(X9,f1(X0,f11(X8,f1(X0,f11(X7,f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))))))))))),top_of_basis(X10))
      | element_of_set(f11(X10,f1(X0,f11(X9,f1(X0,f11(X8,f1(X0,f11(X7,f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1)))))))))))))))))),union_of_members(X0))
      | element_of_collection(f1(X0,f11(X8,f1(X0,f11(X7,f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))))))))),top_of_basis(X9))
      | element_of_collection(f1(X0,f11(X7,f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))))))),top_of_basis(X8))
      | element_of_collection(f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))))),top_of_basis(X7))
      | element_of_collection(f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))),top_of_basis(X6))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))),top_of_basis(X4))
      | 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)],[f338,f165]) ).

fof(f342,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( element_of_collection(f1(X0,f11(X10,f1(X0,f11(X9,f1(X0,f11(X8,f1(X0,f11(X7,f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))))))))))))),X0)
      | element_of_collection(f1(X0,f11(X9,f1(X0,f11(X8,f1(X0,f11(X7,f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))))))))))),top_of_basis(X10))
      | element_of_collection(f1(X0,f11(X8,f1(X0,f11(X7,f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))))))))),top_of_basis(X9))
      | element_of_collection(f1(X0,f11(X7,f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))))))),top_of_basis(X8))
      | element_of_collection(f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))))),top_of_basis(X7))
      | element_of_collection(f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))),top_of_basis(X6))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))),top_of_basis(X4))
      | 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)],[f340,f114]) ).

fof(f343,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( element_of_set(f11(X10,f1(X0,f11(X9,f1(X0,f11(X8,f1(X0,f11(X7,f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1)))))))))))))))))),f1(X0,f11(X10,f1(X0,f11(X9,f1(X0,f11(X8,f1(X0,f11(X7,f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))))))))))))))
      | element_of_collection(f1(X0,f11(X9,f1(X0,f11(X8,f1(X0,f11(X7,f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))))))))))),top_of_basis(X10))
      | element_of_collection(f1(X0,f11(X8,f1(X0,f11(X7,f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))))))))),top_of_basis(X9))
      | element_of_collection(f1(X0,f11(X7,f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))))))),top_of_basis(X8))
      | element_of_collection(f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))))),top_of_basis(X7))
      | element_of_collection(f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))))),top_of_basis(X6))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X2,f2(X0,X1))))),top_of_basis(X4))
      | 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)],[f340,f113]) ).

fof(f344,plain,
    ! [X0,X1,X2] :
      ( ~ element_of_set(X2,f1(X0,f11(X1,union_of_members(X0))))
      | element_of_set(X2,union_of_members(X0))
      | element_of_collection(union_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f292,f116]) ).

fof(f345,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)],[f291,f292]) ).

fof(f346,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( element_of_collection(f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,f1(X0,f11(X8,f1(X0,f11(X9,f2(X0,X10))))))))))))))),top_of_basis(X2))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,f1(X0,f11(X8,f1(X0,f11(X9,f2(X0,X10))))))))))))),top_of_basis(X3))
      | element_of_collection(f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,f1(X0,f11(X8,f1(X0,f11(X9,f2(X0,X10))))))))))),top_of_basis(X4))
      | element_of_collection(f1(X0,f11(X6,f1(X0,f11(X7,f1(X0,f11(X8,f1(X0,f11(X9,f2(X0,X10))))))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X7,f1(X0,f11(X8,f1(X0,f11(X9,f2(X0,X10))))))),top_of_basis(X6))
      | element_of_collection(f1(X0,f11(X8,f1(X0,f11(X9,f2(X0,X10))))),top_of_basis(X7))
      | element_of_collection(f1(X0,f11(X9,f2(X0,X10))),top_of_basis(X8))
      | element_of_set(X10,intersection_of_members(X0))
      | element_of_collection(f2(X0,X10),top_of_basis(X9))
      | element_of_set(f11(X1,intersection_of_members(X0)),f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,f1(X0,f11(X8,f1(X0,f11(X9,f2(X0,X10))))))))))))))))))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f291,f336]) ).

fof(f347,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( element_of_collection(f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,f1(X0,f11(X8,f2(X0,X9))))))))))))),top_of_basis(X2))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,f1(X0,f11(X8,f2(X0,X9))))))))))),top_of_basis(X3))
      | element_of_collection(f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,f1(X0,f11(X8,f2(X0,X9))))))))),top_of_basis(X4))
      | element_of_collection(f1(X0,f11(X6,f1(X0,f11(X7,f1(X0,f11(X8,f2(X0,X9))))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X7,f1(X0,f11(X8,f2(X0,X9))))),top_of_basis(X6))
      | element_of_collection(f1(X0,f11(X8,f2(X0,X9))),top_of_basis(X7))
      | element_of_set(X9,intersection_of_members(X0))
      | element_of_collection(f2(X0,X9),top_of_basis(X8))
      | element_of_set(f11(X1,intersection_of_members(X0)),f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,f1(X0,f11(X8,f2(X0,X9))))))))))))))))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f291,f330]) ).

fof(f348,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( element_of_collection(f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,f2(X0,X8))))))))))),top_of_basis(X2))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,f2(X0,X8))))))))),top_of_basis(X3))
      | element_of_collection(f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,f2(X0,X8))))))),top_of_basis(X4))
      | element_of_collection(f1(X0,f11(X6,f1(X0,f11(X7,f2(X0,X8))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X7,f2(X0,X8))),top_of_basis(X6))
      | element_of_set(X8,intersection_of_members(X0))
      | element_of_collection(f2(X0,X8),top_of_basis(X7))
      | element_of_set(f11(X1,intersection_of_members(X0)),f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,f2(X0,X8))))))))))))))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f291,f324]) ).

fof(f349,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( element_of_collection(f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f2(X0,X7))))))))),top_of_basis(X2))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f2(X0,X7))))))),top_of_basis(X3))
      | element_of_collection(f1(X0,f11(X5,f1(X0,f11(X6,f2(X0,X7))))),top_of_basis(X4))
      | element_of_collection(f1(X0,f11(X6,f2(X0,X7))),top_of_basis(X5))
      | element_of_set(X7,intersection_of_members(X0))
      | element_of_collection(f2(X0,X7),top_of_basis(X6))
      | element_of_set(f11(X1,intersection_of_members(X0)),f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f2(X0,X7))))))))))))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f291,f318]) ).

fof(f350,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_collection(f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f2(X0,X6))))))),top_of_basis(X2))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X5,f2(X0,X6))))),top_of_basis(X3))
      | element_of_collection(f1(X0,f11(X5,f2(X0,X6))),top_of_basis(X4))
      | element_of_set(X6,intersection_of_members(X0))
      | element_of_collection(f2(X0,X6),top_of_basis(X5))
      | element_of_set(f11(X1,intersection_of_members(X0)),f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f2(X0,X6))))))))))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f291,f312]) ).

fof(f351,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(f1(X0,f11(X3,f1(X0,f11(X4,f2(X0,X5))))),top_of_basis(X2))
      | element_of_collection(f1(X0,f11(X4,f2(X0,X5))),top_of_basis(X3))
      | element_of_set(X5,intersection_of_members(X0))
      | element_of_collection(f2(X0,X5),top_of_basis(X4))
      | element_of_set(f11(X1,intersection_of_members(X0)),f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f2(X0,X5))))))))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f291,f306]) ).

fof(f352,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f1(X0,f11(X3,f2(X0,X4))),top_of_basis(X2))
      | element_of_set(X4,intersection_of_members(X0))
      | element_of_collection(f2(X0,X4),top_of_basis(X3))
      | element_of_set(f11(X1,intersection_of_members(X0)),f1(X0,f11(X2,f1(X0,f11(X3,f2(X0,X4))))))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f291,f300]) ).

fof(f353,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(X0))
      | element_of_collection(f2(X0,X3),top_of_basis(X2))
      | element_of_set(f11(X1,intersection_of_members(X0)),f1(X0,f11(X2,f2(X0,X3))))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f291,f294]) ).

fof(f354,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)],[f291,f119]) ).

fof(f356,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f1(X0,f11(X1,union_of_members(X0))),top_of_basis(X2))
      | element_of_set(f11(X2,f1(X0,f11(X1,union_of_members(X0)))),union_of_members(X0))
      | element_of_collection(union_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f344,f165]) ).

fof(f358,plain,
    ! [X0,X1,X2] :
      ( element_of_set(f11(X1,intersection_of_members(X0)),union_of_members(X0))
      | element_of_set(X2,intersection_of_members(X0))
      | element_of_set(X2,intersection_of_members(X0))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f354,f289]) ).

fof(f360,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)],[f358]) ).

fof(f362,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)],[f360,f118]) ).

fof(f363,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)],[f360,f114]) ).

fof(f364,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)],[f360,f113]) ).

fof(f365,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)],[f363,f118]) ).

fof(f366,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)],[f363,f291]) ).

fof(f367,plain,
    ! [X0,X1,X2,X3] :
      ( ~ element_of_set(X3,f1(X0,f11(X1,intersection_of_members(X0))))
      | element_of_set(X3,union_of_members(X0))
      | element_of_set(X2,intersection_of_members(X0))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f363,f116]) ).

fof(f369,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)],[f362,f292]) ).

fof(f380,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)],[f365,f292]) ).

fof(f390,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(intersection_of_sets(f16(X0,X1,X2,X3),X1),top_of_basis(X4))
      | eq_p(f11(X4,intersection_of_sets(f16(X0,X1,X2,X3),X1)),X0)
      | ~ subset_sets(X1,X2)
      | ~ topological_space(X2,X3)
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f210,f165]) ).

fof(f391,plain,
    ! [X0,X1,X2] :
      ( element_of_set(f11(X1,intersection_of_members(X0)),union_of_members(X0))
      | element_of_collection(union_of_members(X0),top_of_basis(X2))
      | element_of_collection(union_of_members(X0),top_of_basis(X2))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f345,f344]) ).

fof(f392,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)],[f391]) ).

fof(f393,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)],[f356,f114]) ).

fof(f394,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)],[f356,f113]) ).

fof(f395,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f4(X0,top_of_basis(X1)),top_of_basis(X1))
      | ~ element_of_collection(X0,top_of_basis(X1))
      | ~ element_of_collection(empty_set,top_of_basis(X1))
      | ~ equal_sets(union_of_members(top_of_basis(X1)),X0)
      | topological_space(X0,top_of_basis(X1))
      | element_of_set(f11(X2,intersection_of_members(f5(X0,top_of_basis(X1)))),union_of_members(f5(X0,top_of_basis(X1))))
      | element_of_collection(intersection_of_members(f5(X0,top_of_basis(X1))),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f392,f132]) ).

fof(f396,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f3(X0,top_of_basis(X1)),top_of_basis(X1))
      | ~ element_of_collection(X0,top_of_basis(X1))
      | ~ element_of_collection(empty_set,top_of_basis(X1))
      | ~ equal_sets(union_of_members(top_of_basis(X1)),X0)
      | topological_space(X0,top_of_basis(X1))
      | element_of_set(f11(X2,intersection_of_members(f5(X0,top_of_basis(X1)))),union_of_members(f5(X0,top_of_basis(X1))))
      | element_of_collection(intersection_of_members(f5(X0,top_of_basis(X1))),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f392,f130]) ).

fof(f397,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(X4,union_of_members(X0))
      | element_of_collection(f1(top_of_basis(X2),f11(X3,intersection_of_members(top_of_basis(X2)))),top_of_basis(X2))
      | element_of_collection(intersection_of_members(top_of_basis(X2)),top_of_basis(X3))
      | 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)],[f392,f365]) ).

fof(f398,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(X4,union_of_members(X0))
      | element_of_set(f11(X3,intersection_of_members(top_of_basis(X2))),union_of_members(top_of_basis(X2)))
      | element_of_collection(intersection_of_members(top_of_basis(X2)),top_of_basis(X3))
      | element_of_set(f11(X1,intersection_of_members(X0)),union_of_members(X0))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f392,f362]) ).

fof(f399,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(f11(X3,intersection_of_members(top_of_basis(X2))),union_of_members(X0))
      | element_of_collection(intersection_of_members(top_of_basis(X2)),top_of_basis(X3))
      | element_of_set(f11(X1,intersection_of_members(X0)),union_of_members(X0))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f392,f291]) ).

fof(f400,plain,
    ! [X0,X1,X2,X3] :
      ( ~ element_of_set(X2,union_of_members(X0))
      | element_of_set(X2,union_of_members(top_of_basis(X3)))
      | element_of_set(f11(X1,intersection_of_members(X0)),union_of_members(X0))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f392,f116]) ).

fof(f401,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f1(X0,f11(X1,intersection_of_members(X0))),X0)
      | element_of_collection(union_of_members(X0),top_of_basis(X2))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f392,f114]) ).

fof(f402,plain,
    ! [X0,X1,X2] :
      ( element_of_set(f11(X1,intersection_of_members(X0)),f1(X0,f11(X1,intersection_of_members(X0))))
      | element_of_collection(union_of_members(X0),top_of_basis(X2))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f392,f113]) ).

fof(f403,definition,
    ! [X0,X1,X4] :
      ( sQ4_spl
    <=> ( element_of_set(X4,union_of_members(X0))
        | element_of_set(f11(X1,intersection_of_members(X0)),union_of_members(X0))
        | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ) ),
    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).

fof(f404,plain,
    ! [X0,X1,X2] :
      ( ~ sQ4_spl
      | element_of_set(X2,union_of_members(X0))
      | element_of_set(f11(X1,intersection_of_members(X0)),union_of_members(X0))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(component_clause,[status(thm)],[f403]) ).

fof(f406,definition,
    ! [X2,X3] :
      ( sQ5_spl
    <=> ( element_of_collection(f1(top_of_basis(X2),f11(X3,intersection_of_members(top_of_basis(X2)))),top_of_basis(X2))
        | element_of_collection(intersection_of_members(top_of_basis(X2)),top_of_basis(X3)) ) ),
    introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).

fof(f407,plain,
    ! [X0,X1] :
      ( ~ sQ5_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)],[f406]) ).

fof(f409,plain,
    ( sQ5_spl
    | sQ4_spl ),
    inference(split_clause,[status(thm)],[f397,f403,f406]) ).

fof(f410,definition,
    ! [X2,X3] :
      ( sQ6_spl
    <=> ( element_of_set(f11(X3,intersection_of_members(top_of_basis(X2))),union_of_members(top_of_basis(X2)))
        | element_of_collection(intersection_of_members(top_of_basis(X2)),top_of_basis(X3)) ) ),
    introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).

fof(f411,plain,
    ! [X0,X1] :
      ( ~ sQ6_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)],[f410]) ).

fof(f413,plain,
    ( sQ6_spl
    | sQ4_spl ),
    inference(split_clause,[status(thm)],[f398,f403,f410]) ).

fof(f416,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)],[f364,f118]) ).

fof(f417,plain,
    ! [X0,X1,X2] :
      ( ~ open(relative_complement_sets(X0,X1),X1,X2)
      | closed(X0,X1,X2) ),
    inference(forward_subsumption_resolution,[status(thm)],[f144,f136]) ).

fof(f418,plain,
    ! [X0,X1] :
      ( ~ sQ4_spl
      | element_of_collection(f1(X0,f11(X1,intersection_of_members(X0))),X0)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f404,f114]) ).

fof(f420,plain,
    ! [X0,X1] :
      ( ~ sQ4_spl
      | element_of_set(f11(X1,intersection_of_members(X0)),f1(X0,f11(X1,intersection_of_members(X0))))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f404,f113]) ).

fof(f425,plain,
    ! [X0,X1,X2] :
      ( ~ sQ4_spl
      | element_of_set(f11(X2,intersection_of_members(X0)),f1(X0,f11(X1,intersection_of_members(X0))))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X2))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f418,f291]) ).

fof(f426,plain,
    ! [X0,X1,X2] :
      ( ~ sQ4_spl
      | ~ element_of_set(X2,f1(X0,f11(X1,intersection_of_members(X0))))
      | element_of_set(X2,union_of_members(X0))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f418,f116]) ).

fof(f443,plain,
    ! [X0,X1] :
      ( ~ sQ4_spl
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1))
      | 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)],[f426,f420]) ).

fof(f444,plain,
    ! [X0,X1,X2] :
      ( ~ sQ4_spl
      | element_of_collection(f1(X0,f11(X1,intersection_of_members(X0))),top_of_basis(X2))
      | element_of_set(f11(X2,f1(X0,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)],[f426,f165]) ).

fof(f446,plain,
    ! [X0,X1] :
      ( ~ sQ4_spl
      | element_of_set(f11(X1,intersection_of_members(X0)),union_of_members(X0))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f443]) ).

fof(f449,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)],[f393,f291]) ).

fof(f450,plain,
    ! [X0,X1,X2,X3] :
      ( ~ element_of_set(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))
      | element_of_set(X3,union_of_members(X0))
      | element_of_collection(f1(X0,f11(X1,union_of_members(X0))),top_of_basis(X2))
      | element_of_collection(union_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f393,f116]) ).

fof(f453,plain,
    ! [X0,X1,X2] :
      ( ~ sQ4_spl
      | element_of_collection(f1(X0,f11(X2,f1(X0,f11(X1,intersection_of_members(X0))))),X0)
      | element_of_collection(f1(X0,f11(X1,intersection_of_members(X0))),top_of_basis(X2))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f444,f114]) ).

fof(f454,plain,
    ! [X0,X1,X2] :
      ( ~ sQ4_spl
      | element_of_set(f11(X2,f1(X0,f11(X1,intersection_of_members(X0)))),f1(X0,f11(X2,f1(X0,f11(X1,intersection_of_members(X0))))))
      | element_of_collection(f1(X0,f11(X1,intersection_of_members(X0))),top_of_basis(X2))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f444,f113]) ).

fof(f455,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ4_spl
      | element_of_set(f11(X3,intersection_of_members(X0)),f1(X0,f11(X2,f1(X0,f11(X1,intersection_of_members(X0))))))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X3))
      | element_of_collection(f1(X0,f11(X1,intersection_of_members(X0))),top_of_basis(X2))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f453,f291]) ).

fof(f456,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ4_spl
      | ~ element_of_set(X3,f1(X0,f11(X2,f1(X0,f11(X1,intersection_of_members(X0))))))
      | element_of_set(X3,union_of_members(X0))
      | element_of_collection(f1(X0,f11(X1,intersection_of_members(X0))),top_of_basis(X2))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f453,f116]) ).

fof(f458,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))),top_of_basis(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(X1,union_of_members(X0))),top_of_basis(X2))
      | element_of_collection(union_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f450,f165]) ).

fof(f460,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(f11(X3,intersection_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))
      | 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)],[f449,f450]) ).

fof(f461,plain,
    ! [X0,X1,X2,X3] :
      ( 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(duplicate_literals_removal,[status(thm)],[f460]) ).

fof(f462,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))),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)],[f458,f114]) ).

fof(f463,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0)))))),f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,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)],[f458,f113]) ).

fof(f464,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(f11(X1,intersection_of_members(X0)),union_of_members(X0))
      | element_of_collection(f1(X0,f11(X3,f2(X0,X2))),top_of_basis(X4))
      | element_of_set(X2,intersection_of_members(X0))
      | element_of_collection(f2(X0,X2),top_of_basis(X3))
      | element_of_collection(f1(X0,f11(X3,f2(X0,X2))),top_of_basis(X4))
      | element_of_set(X2,intersection_of_members(X0))
      | element_of_collection(f2(X0,X2),top_of_basis(X3))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f352,f302]) ).

fof(f465,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(f11(X1,intersection_of_members(X0)),union_of_members(X0))
      | element_of_collection(f1(X0,f11(X3,f2(X0,X2))),top_of_basis(X4))
      | element_of_set(X2,intersection_of_members(X0))
      | element_of_collection(f2(X0,X2),top_of_basis(X3))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f464]) ).

fof(f466,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(f11(X4,intersection_of_members(X0)),f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X4))
      | 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)],[f462,f291]) ).

fof(f467,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ element_of_set(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))))
      | element_of_set(X4,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)],[f462,f116]) ).

fof(f468,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(intersection_of_members(X0),top_of_basis(X4))
      | 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))
      | element_of_set(f11(X4,intersection_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)],[f467,f466]) ).

fof(f470,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))),top_of_basis(X4))
      | element_of_set(f11(X4,f1(X0,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)],[f467,f165]) ).

fof(f471,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(intersection_of_members(X0),top_of_basis(X4))
      | element_of_set(f11(X4,intersection_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(duplicate_literals_removal,[status(thm)],[f468]) ).

fof(f473,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))))),X0)
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))),top_of_basis(X4))
      | 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)],[f470,f114]) ).

fof(f474,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0)))))))),f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))))))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))),top_of_basis(X4))
      | 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)],[f470,f113]) ).

fof(f475,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ4_spl
      | element_of_collection(f1(X0,f11(X2,f1(X0,f11(X1,intersection_of_members(X0))))),top_of_basis(X3))
      | element_of_set(f11(X3,f1(X0,f11(X2,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(X2))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f456,f165]) ).

fof(f480,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ4_spl
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,intersection_of_members(X0))))))),X0)
      | element_of_collection(f1(X0,f11(X2,f1(X0,f11(X1,intersection_of_members(X0))))),top_of_basis(X3))
      | element_of_collection(f1(X0,f11(X1,intersection_of_members(X0))),top_of_basis(X2))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f475,f114]) ).

fof(f481,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ4_spl
      | element_of_set(f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,intersection_of_members(X0)))))),f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,intersection_of_members(X0))))))))
      | element_of_collection(f1(X0,f11(X2,f1(X0,f11(X1,intersection_of_members(X0))))),top_of_basis(X3))
      | element_of_collection(f1(X0,f11(X1,intersection_of_members(X0))),top_of_basis(X2))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f475,f113]) ).

fof(f482,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ4_spl
      | element_of_set(f11(X4,intersection_of_members(X0)),f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,intersection_of_members(X0))))))))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X4))
      | element_of_collection(f1(X0,f11(X2,f1(X0,f11(X1,intersection_of_members(X0))))),top_of_basis(X3))
      | element_of_collection(f1(X0,f11(X1,intersection_of_members(X0))),top_of_basis(X2))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f480,f291]) ).

fof(f483,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ4_spl
      | ~ element_of_set(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,intersection_of_members(X0))))))))
      | element_of_set(X4,union_of_members(X0))
      | element_of_collection(f1(X0,f11(X2,f1(X0,f11(X1,intersection_of_members(X0))))),top_of_basis(X3))
      | element_of_collection(f1(X0,f11(X1,intersection_of_members(X0))),top_of_basis(X2))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f480,f116]) ).

fof(f484,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ4_spl
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,intersection_of_members(X0))))))),top_of_basis(X4))
      | element_of_set(f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,intersection_of_members(X0)))))))),union_of_members(X0))
      | element_of_collection(f1(X0,f11(X2,f1(X0,f11(X1,intersection_of_members(X0))))),top_of_basis(X3))
      | element_of_collection(f1(X0,f11(X1,intersection_of_members(X0))),top_of_basis(X2))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f483,f165]) ).

fof(f489,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_set(f11(X1,intersection_of_members(X0)),union_of_members(X0))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X3,f2(X0,X2))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X3,f2(X0,X2))),top_of_basis(X4))
      | element_of_set(X2,intersection_of_members(X0))
      | element_of_collection(f2(X0,X2),top_of_basis(X3))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X3,f2(X0,X2))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X3,f2(X0,X2))),top_of_basis(X4))
      | element_of_set(X2,intersection_of_members(X0))
      | element_of_collection(f2(X0,X2),top_of_basis(X3))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f351,f308]) ).

fof(f490,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_set(f11(X1,intersection_of_members(X0)),union_of_members(X0))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X3,f2(X0,X2))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X3,f2(X0,X2))),top_of_basis(X4))
      | element_of_set(X2,intersection_of_members(X0))
      | element_of_collection(f2(X0,X2),top_of_basis(X3))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f489]) ).

fof(f491,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ4_spl
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,intersection_of_members(X0))))))))),X0)
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,intersection_of_members(X0))))))),top_of_basis(X4))
      | element_of_collection(f1(X0,f11(X2,f1(X0,f11(X1,intersection_of_members(X0))))),top_of_basis(X3))
      | element_of_collection(f1(X0,f11(X1,intersection_of_members(X0))),top_of_basis(X2))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f484,f114]) ).

fof(f492,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ4_spl
      | element_of_set(f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,intersection_of_members(X0)))))))),f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,intersection_of_members(X0))))))))))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,intersection_of_members(X0))))))),top_of_basis(X4))
      | element_of_collection(f1(X0,f11(X2,f1(X0,f11(X1,intersection_of_members(X0))))),top_of_basis(X3))
      | element_of_collection(f1(X0,f11(X1,intersection_of_members(X0))),top_of_basis(X2))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f484,f113]) ).

fof(f493,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_set(f11(X5,intersection_of_members(X0)),f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))))))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))),top_of_basis(X4))
      | 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)],[f473,f291]) ).

fof(f494,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ element_of_set(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))))))
      | element_of_set(X5,union_of_members(X0))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))),top_of_basis(X4))
      | 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)],[f473,f116]) ).

fof(f495,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ4_spl
      | element_of_set(f11(X5,intersection_of_members(X0)),f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,intersection_of_members(X0))))))))))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,intersection_of_members(X0))))))),top_of_basis(X4))
      | element_of_collection(f1(X0,f11(X2,f1(X0,f11(X1,intersection_of_members(X0))))),top_of_basis(X3))
      | element_of_collection(f1(X0,f11(X1,intersection_of_members(X0))),top_of_basis(X2))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f491,f291]) ).

fof(f496,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ4_spl
      | ~ element_of_set(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,intersection_of_members(X0))))))))))
      | element_of_set(X5,union_of_members(X0))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,intersection_of_members(X0))))))),top_of_basis(X4))
      | element_of_collection(f1(X0,f11(X2,f1(X0,f11(X1,intersection_of_members(X0))))),top_of_basis(X3))
      | element_of_collection(f1(X0,f11(X1,intersection_of_members(X0))),top_of_basis(X2))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f491,f116]) ).

fof(f497,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))))),top_of_basis(X5))
      | element_of_set(f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0)))))))))),union_of_members(X0))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))),top_of_basis(X4))
      | 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)],[f494,f165]) ).

fof(f498,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ4_spl
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,intersection_of_members(X0))))))))),top_of_basis(X5))
      | element_of_set(f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,intersection_of_members(X0)))))))))),union_of_members(X0))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,intersection_of_members(X0))))))),top_of_basis(X4))
      | element_of_collection(f1(X0,f11(X2,f1(X0,f11(X1,intersection_of_members(X0))))),top_of_basis(X3))
      | element_of_collection(f1(X0,f11(X1,intersection_of_members(X0))),top_of_basis(X2))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f496,f165]) ).

fof(f499,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_set(f11(X5,intersection_of_members(X0)),union_of_members(X0))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))),top_of_basis(X4))
      | 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))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))),top_of_basis(X4))
      | 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)],[f493,f494]) ).

fof(f500,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_set(f11(X5,intersection_of_members(X0)),union_of_members(X0))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))),top_of_basis(X4))
      | 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(duplicate_literals_removal,[status(thm)],[f499]) ).

fof(f507,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_set(f11(X1,intersection_of_members(X0)),union_of_members(X0))
      | element_of_collection(f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f2(X0,X2))))))),top_of_basis(X6))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X3,f2(X0,X2))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X3,f2(X0,X2))),top_of_basis(X4))
      | element_of_set(X2,intersection_of_members(X0))
      | element_of_collection(f2(X0,X2),top_of_basis(X3))
      | element_of_collection(f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f2(X0,X2))))))),top_of_basis(X6))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X3,f2(X0,X2))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X3,f2(X0,X2))),top_of_basis(X4))
      | element_of_set(X2,intersection_of_members(X0))
      | element_of_collection(f2(X0,X2),top_of_basis(X3))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f350,f314]) ).

fof(f508,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_set(f11(X1,intersection_of_members(X0)),union_of_members(X0))
      | element_of_collection(f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f2(X0,X2))))))),top_of_basis(X6))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X3,f2(X0,X2))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X3,f2(X0,X2))),top_of_basis(X4))
      | element_of_set(X2,intersection_of_members(X0))
      | element_of_collection(f2(X0,X2),top_of_basis(X3))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f507]) ).

fof(f509,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))))))),X0)
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))),top_of_basis(X4))
      | 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)],[f497,f114]) ).

fof(f510,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_set(f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0)))))))))),f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))))))))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))),top_of_basis(X4))
      | 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)],[f497,f113]) ).

fof(f511,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ4_spl
      | element_of_collection(f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,intersection_of_members(X0))))))))))),X0)
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,intersection_of_members(X0))))))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,intersection_of_members(X0))))))),top_of_basis(X4))
      | element_of_collection(f1(X0,f11(X2,f1(X0,f11(X1,intersection_of_members(X0))))),top_of_basis(X3))
      | element_of_collection(f1(X0,f11(X1,intersection_of_members(X0))),top_of_basis(X2))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f498,f114]) ).

fof(f512,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ4_spl
      | element_of_set(f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,intersection_of_members(X0)))))))))),f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,intersection_of_members(X0))))))))))))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,intersection_of_members(X0))))))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,intersection_of_members(X0))))))),top_of_basis(X4))
      | element_of_collection(f1(X0,f11(X2,f1(X0,f11(X1,intersection_of_members(X0))))),top_of_basis(X3))
      | element_of_collection(f1(X0,f11(X1,intersection_of_members(X0))),top_of_basis(X2))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f498,f113]) ).

fof(f513,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_set(f11(X6,intersection_of_members(X0)),f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))))))))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X6))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))),top_of_basis(X4))
      | 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)],[f509,f291]) ).

fof(f514,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ element_of_set(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))))))))
      | element_of_set(X6,union_of_members(X0))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))),top_of_basis(X4))
      | 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)],[f509,f116]) ).

fof(f515,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ4_spl
      | element_of_set(f11(X6,intersection_of_members(X0)),f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,intersection_of_members(X0))))))))))))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X6))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,intersection_of_members(X0))))))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,intersection_of_members(X0))))))),top_of_basis(X4))
      | element_of_collection(f1(X0,f11(X2,f1(X0,f11(X1,intersection_of_members(X0))))),top_of_basis(X3))
      | element_of_collection(f1(X0,f11(X1,intersection_of_members(X0))),top_of_basis(X2))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f511,f291]) ).

fof(f516,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ4_spl
      | ~ element_of_set(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,intersection_of_members(X0))))))))))))
      | element_of_set(X6,union_of_members(X0))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,intersection_of_members(X0))))))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,intersection_of_members(X0))))))),top_of_basis(X4))
      | element_of_collection(f1(X0,f11(X2,f1(X0,f11(X1,intersection_of_members(X0))))),top_of_basis(X3))
      | element_of_collection(f1(X0,f11(X1,intersection_of_members(X0))),top_of_basis(X2))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f511,f116]) ).

fof(f517,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_collection(f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))))))),top_of_basis(X6))
      | element_of_set(f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0)))))))))))),union_of_members(X0))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))),top_of_basis(X4))
      | 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)],[f514,f165]) ).

fof(f520,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_set(f11(X6,intersection_of_members(X0)),union_of_members(X0))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))),top_of_basis(X4))
      | 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))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X6))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))),top_of_basis(X4))
      | 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)],[f513,f514]) ).

fof(f521,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_set(f11(X6,intersection_of_members(X0)),union_of_members(X0))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X6))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))),top_of_basis(X4))
      | 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(duplicate_literals_removal,[status(thm)],[f520]) ).

fof(f522,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_collection(f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))))))))),X0)
      | element_of_collection(f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))))))),top_of_basis(X6))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))),top_of_basis(X4))
      | 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)],[f517,f114]) ).

fof(f523,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_set(f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0)))))))))))),f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))))))))))
      | element_of_collection(f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))))))),top_of_basis(X6))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))),top_of_basis(X4))
      | 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)],[f517,f113]) ).

fof(f524,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( element_of_set(f11(X1,intersection_of_members(X0)),union_of_members(X0))
      | element_of_collection(f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f2(X0,X2))))))))),top_of_basis(X7))
      | element_of_collection(f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f2(X0,X2))))))),top_of_basis(X6))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X3,f2(X0,X2))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X3,f2(X0,X2))),top_of_basis(X4))
      | element_of_set(X2,intersection_of_members(X0))
      | element_of_collection(f2(X0,X2),top_of_basis(X3))
      | element_of_collection(f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f2(X0,X2))))))))),top_of_basis(X7))
      | element_of_collection(f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f2(X0,X2))))))),top_of_basis(X6))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X3,f2(X0,X2))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X3,f2(X0,X2))),top_of_basis(X4))
      | element_of_set(X2,intersection_of_members(X0))
      | element_of_collection(f2(X0,X2),top_of_basis(X3))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f349,f320]) ).

fof(f525,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( element_of_set(f11(X1,intersection_of_members(X0)),union_of_members(X0))
      | element_of_collection(f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f2(X0,X2))))))))),top_of_basis(X7))
      | element_of_collection(f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f2(X0,X2))))))),top_of_basis(X6))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X3,f2(X0,X2))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X3,f2(X0,X2))),top_of_basis(X4))
      | element_of_set(X2,intersection_of_members(X0))
      | element_of_collection(f2(X0,X2),top_of_basis(X3))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f524]) ).

fof(f526,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( element_of_set(f11(X7,intersection_of_members(X0)),f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))))))))))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X7))
      | element_of_collection(f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))))))),top_of_basis(X6))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))),top_of_basis(X4))
      | 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)],[f522,f291]) ).

fof(f527,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ element_of_set(X7,f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))))))))))
      | element_of_set(X7,union_of_members(X0))
      | element_of_collection(f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))))))),top_of_basis(X6))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))),top_of_basis(X4))
      | 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)],[f522,f116]) ).

fof(f528,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( element_of_collection(intersection_of_members(X0),top_of_basis(X7))
      | element_of_collection(f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))))))),top_of_basis(X6))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))),top_of_basis(X4))
      | 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))
      | element_of_set(f11(X7,intersection_of_members(X0)),union_of_members(X0))
      | element_of_collection(f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))))))),top_of_basis(X6))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))),top_of_basis(X4))
      | 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)],[f527,f526]) ).

fof(f530,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( element_of_collection(f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))))))))),top_of_basis(X7))
      | element_of_set(f11(X7,f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0)))))))))))))),union_of_members(X0))
      | element_of_collection(f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))))))),top_of_basis(X6))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))),top_of_basis(X4))
      | 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)],[f527,f165]) ).

fof(f531,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( element_of_collection(intersection_of_members(X0),top_of_basis(X7))
      | element_of_set(f11(X7,intersection_of_members(X0)),union_of_members(X0))
      | element_of_collection(f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))))))),top_of_basis(X6))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))),top_of_basis(X4))
      | 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(duplicate_literals_removal,[status(thm)],[f528]) ).

fof(f533,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( element_of_collection(f1(X0,f11(X7,f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))))))))))),X0)
      | element_of_collection(f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))))))))),top_of_basis(X7))
      | element_of_collection(f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))))))),top_of_basis(X6))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))),top_of_basis(X4))
      | 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)],[f530,f114]) ).

fof(f534,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( element_of_set(f11(X7,f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0)))))))))))))),f1(X0,f11(X7,f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))))))))))))
      | element_of_collection(f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))))))))),top_of_basis(X7))
      | element_of_collection(f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))))))),top_of_basis(X6))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))),top_of_basis(X4))
      | 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)],[f530,f113]) ).

fof(f535,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( element_of_set(f11(X1,intersection_of_members(X0)),union_of_members(X0))
      | element_of_collection(f1(X0,f11(X7,f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f2(X0,X2))))))))))),top_of_basis(X8))
      | element_of_collection(f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f2(X0,X2))))))))),top_of_basis(X7))
      | element_of_collection(f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f2(X0,X2))))))),top_of_basis(X6))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X3,f2(X0,X2))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X3,f2(X0,X2))),top_of_basis(X4))
      | element_of_set(X2,intersection_of_members(X0))
      | element_of_collection(f2(X0,X2),top_of_basis(X3))
      | element_of_collection(f1(X0,f11(X7,f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f2(X0,X2))))))))))),top_of_basis(X8))
      | element_of_collection(f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f2(X0,X2))))))))),top_of_basis(X7))
      | element_of_collection(f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f2(X0,X2))))))),top_of_basis(X6))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X3,f2(X0,X2))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X3,f2(X0,X2))),top_of_basis(X4))
      | element_of_set(X2,intersection_of_members(X0))
      | element_of_collection(f2(X0,X2),top_of_basis(X3))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f348,f326]) ).

fof(f536,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( element_of_set(f11(X1,intersection_of_members(X0)),union_of_members(X0))
      | element_of_collection(f1(X0,f11(X7,f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f2(X0,X2))))))))))),top_of_basis(X8))
      | element_of_collection(f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f2(X0,X2))))))))),top_of_basis(X7))
      | element_of_collection(f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f2(X0,X2))))))),top_of_basis(X6))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X3,f2(X0,X2))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X3,f2(X0,X2))),top_of_basis(X4))
      | element_of_set(X2,intersection_of_members(X0))
      | element_of_collection(f2(X0,X2),top_of_basis(X3))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f535]) ).

fof(f537,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( element_of_set(f11(X8,intersection_of_members(X0)),f1(X0,f11(X7,f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))))))))))))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X8))
      | element_of_collection(f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))))))))),top_of_basis(X7))
      | element_of_collection(f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))))))),top_of_basis(X6))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))),top_of_basis(X4))
      | 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)],[f533,f291]) ).

fof(f538,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ element_of_set(X8,f1(X0,f11(X7,f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))))))))))))
      | element_of_set(X8,union_of_members(X0))
      | element_of_collection(f1(X0,f11(X6,f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))))))))),top_of_basis(X7))
      | element_of_collection(f1(X0,f11(X5,f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))))))),top_of_basis(X6))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))))),top_of_basis(X4))
      | 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)],[f533,f116]) ).

fof(f539,plain,
    ! [X0,X1,X2] :
      ( ~ sQ4_spl
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X2))
      | element_of_set(X0,f10(X1,f1(top_of_basis(X1),f11(X2,intersection_of_members(top_of_basis(X1)))),X0))
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,intersection_of_members(top_of_basis(X1))))) ),
    inference(resolution,[status(thm)],[f162,f418]) ).

fof(f540,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(union_of_members(top_of_basis(X1)),top_of_basis(X2))
      | element_of_set(X0,f10(X1,f1(top_of_basis(X1),f11(X2,union_of_members(top_of_basis(X1)))),X0))
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,union_of_members(top_of_basis(X1))))) ),
    inference(resolution,[status(thm)],[f162,f292]) ).

fof(f541,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ4_spl
      | element_of_collection(f1(top_of_basis(X1),f11(X3,intersection_of_members(top_of_basis(X1)))),top_of_basis(X2))
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X3))
      | element_of_set(X0,f10(X1,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,intersection_of_members(top_of_basis(X1)))))),X0))
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,intersection_of_members(top_of_basis(X1))))))) ),
    inference(resolution,[status(thm)],[f162,f453]) ).

fof(f542,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f1(top_of_basis(X1),f11(X3,union_of_members(top_of_basis(X1)))),top_of_basis(X2))
      | element_of_collection(union_of_members(top_of_basis(X1)),top_of_basis(X3))
      | element_of_set(X0,f10(X1,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,union_of_members(top_of_basis(X1)))))),X0))
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,union_of_members(top_of_basis(X1))))))) ),
    inference(resolution,[status(thm)],[f162,f393]) ).

fof(f543,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ4_spl
      | element_of_collection(f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,intersection_of_members(top_of_basis(X1)))))),top_of_basis(X2))
      | element_of_collection(f1(top_of_basis(X1),f11(X4,intersection_of_members(top_of_basis(X1)))),top_of_basis(X3))
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X4))
      | element_of_set(X0,f10(X1,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,intersection_of_members(top_of_basis(X1)))))))),X0))
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,intersection_of_members(top_of_basis(X1))))))))) ),
    inference(resolution,[status(thm)],[f162,f480]) ).

fof(f544,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,union_of_members(top_of_basis(X1)))))),top_of_basis(X2))
      | element_of_collection(f1(top_of_basis(X1),f11(X4,union_of_members(top_of_basis(X1)))),top_of_basis(X3))
      | element_of_collection(union_of_members(top_of_basis(X1)),top_of_basis(X4))
      | element_of_set(X0,f10(X1,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,union_of_members(top_of_basis(X1)))))))),X0))
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,union_of_members(top_of_basis(X1))))))))) ),
    inference(resolution,[status(thm)],[f162,f462]) ).

fof(f545,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ4_spl
      | element_of_collection(f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,intersection_of_members(top_of_basis(X1)))))))),top_of_basis(X2))
      | element_of_collection(f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,intersection_of_members(top_of_basis(X1)))))),top_of_basis(X3))
      | element_of_collection(f1(top_of_basis(X1),f11(X5,intersection_of_members(top_of_basis(X1)))),top_of_basis(X4))
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X5))
      | element_of_set(X0,f10(X1,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,intersection_of_members(top_of_basis(X1)))))))))),X0))
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,intersection_of_members(top_of_basis(X1))))))))))) ),
    inference(resolution,[status(thm)],[f162,f491]) ).

fof(f546,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,union_of_members(top_of_basis(X1)))))))),top_of_basis(X2))
      | element_of_collection(f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,union_of_members(top_of_basis(X1)))))),top_of_basis(X3))
      | element_of_collection(f1(top_of_basis(X1),f11(X5,union_of_members(top_of_basis(X1)))),top_of_basis(X4))
      | element_of_collection(union_of_members(top_of_basis(X1)),top_of_basis(X5))
      | element_of_set(X0,f10(X1,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,union_of_members(top_of_basis(X1)))))))))),X0))
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,union_of_members(top_of_basis(X1))))))))))) ),
    inference(resolution,[status(thm)],[f162,f473]) ).

fof(f547,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ4_spl
      | element_of_collection(f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,intersection_of_members(top_of_basis(X1)))))))))),top_of_basis(X2))
      | element_of_collection(f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,intersection_of_members(top_of_basis(X1)))))))),top_of_basis(X3))
      | element_of_collection(f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,intersection_of_members(top_of_basis(X1)))))),top_of_basis(X4))
      | element_of_collection(f1(top_of_basis(X1),f11(X6,intersection_of_members(top_of_basis(X1)))),top_of_basis(X5))
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X6))
      | element_of_set(X0,f10(X1,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,intersection_of_members(top_of_basis(X1)))))))))))),X0))
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,intersection_of_members(top_of_basis(X1))))))))))))) ),
    inference(resolution,[status(thm)],[f162,f511]) ).

fof(f548,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_collection(f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,union_of_members(top_of_basis(X1)))))))))),top_of_basis(X2))
      | element_of_collection(f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,union_of_members(top_of_basis(X1)))))))),top_of_basis(X3))
      | element_of_collection(f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,union_of_members(top_of_basis(X1)))))),top_of_basis(X4))
      | element_of_collection(f1(top_of_basis(X1),f11(X6,union_of_members(top_of_basis(X1)))),top_of_basis(X5))
      | element_of_collection(union_of_members(top_of_basis(X1)),top_of_basis(X6))
      | element_of_set(X0,f10(X1,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,union_of_members(top_of_basis(X1)))))))))))),X0))
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,union_of_members(top_of_basis(X1))))))))))))) ),
    inference(resolution,[status(thm)],[f162,f509]) ).

fof(f549,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( element_of_collection(f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,union_of_members(top_of_basis(X1)))))))))))),top_of_basis(X2))
      | element_of_collection(f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,union_of_members(top_of_basis(X1)))))))))),top_of_basis(X3))
      | element_of_collection(f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,union_of_members(top_of_basis(X1)))))))),top_of_basis(X4))
      | element_of_collection(f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,union_of_members(top_of_basis(X1)))))),top_of_basis(X5))
      | element_of_collection(f1(top_of_basis(X1),f11(X7,union_of_members(top_of_basis(X1)))),top_of_basis(X6))
      | element_of_collection(union_of_members(top_of_basis(X1)),top_of_basis(X7))
      | element_of_set(X0,f10(X1,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,union_of_members(top_of_basis(X1)))))))))))))),X0))
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,union_of_members(top_of_basis(X1))))))))))))))) ),
    inference(resolution,[status(thm)],[f162,f522]) ).

fof(f550,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( element_of_collection(f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f1(top_of_basis(X1),f11(X8,union_of_members(top_of_basis(X1)))))))))))))),top_of_basis(X2))
      | element_of_collection(f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f1(top_of_basis(X1),f11(X8,union_of_members(top_of_basis(X1)))))))))))),top_of_basis(X3))
      | element_of_collection(f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f1(top_of_basis(X1),f11(X8,union_of_members(top_of_basis(X1)))))))))),top_of_basis(X4))
      | element_of_collection(f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f1(top_of_basis(X1),f11(X8,union_of_members(top_of_basis(X1)))))))),top_of_basis(X5))
      | element_of_collection(f1(top_of_basis(X1),f11(X7,f1(top_of_basis(X1),f11(X8,union_of_members(top_of_basis(X1)))))),top_of_basis(X6))
      | element_of_collection(f1(top_of_basis(X1),f11(X8,union_of_members(top_of_basis(X1)))),top_of_basis(X7))
      | element_of_collection(union_of_members(top_of_basis(X1)),top_of_basis(X8))
      | element_of_set(X0,f10(X1,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f1(top_of_basis(X1),f11(X8,union_of_members(top_of_basis(X1)))))))))))))))),X0))
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f1(top_of_basis(X1),f11(X8,union_of_members(top_of_basis(X1))))))))))))))))) ),
    inference(resolution,[status(thm)],[f162,f533]) ).

fof(f551,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( element_of_collection(f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f1(top_of_basis(X1),f11(X8,f1(top_of_basis(X1),f11(X9,f2(top_of_basis(X1),X10))))))))))))))),top_of_basis(X2))
      | element_of_collection(f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f1(top_of_basis(X1),f11(X8,f1(top_of_basis(X1),f11(X9,f2(top_of_basis(X1),X10))))))))))))),top_of_basis(X3))
      | element_of_collection(f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f1(top_of_basis(X1),f11(X8,f1(top_of_basis(X1),f11(X9,f2(top_of_basis(X1),X10))))))))))),top_of_basis(X4))
      | element_of_collection(f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f1(top_of_basis(X1),f11(X8,f1(top_of_basis(X1),f11(X9,f2(top_of_basis(X1),X10))))))))),top_of_basis(X5))
      | element_of_collection(f1(top_of_basis(X1),f11(X7,f1(top_of_basis(X1),f11(X8,f1(top_of_basis(X1),f11(X9,f2(top_of_basis(X1),X10))))))),top_of_basis(X6))
      | element_of_collection(f1(top_of_basis(X1),f11(X8,f1(top_of_basis(X1),f11(X9,f2(top_of_basis(X1),X10))))),top_of_basis(X7))
      | element_of_collection(f1(top_of_basis(X1),f11(X9,f2(top_of_basis(X1),X10))),top_of_basis(X8))
      | element_of_set(X10,intersection_of_members(top_of_basis(X1)))
      | element_of_collection(f2(top_of_basis(X1),X10),top_of_basis(X9))
      | element_of_set(X0,f10(X1,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f1(top_of_basis(X1),f11(X8,f1(top_of_basis(X1),f11(X9,f2(top_of_basis(X1),X10))))))))))))))))),X0))
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f1(top_of_basis(X1),f11(X8,f1(top_of_basis(X1),f11(X9,f2(top_of_basis(X1),X10)))))))))))))))))) ),
    inference(resolution,[status(thm)],[f162,f336]) ).

fof(f552,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( element_of_collection(f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f1(top_of_basis(X1),f11(X8,f2(top_of_basis(X1),X9))))))))))))),top_of_basis(X2))
      | element_of_collection(f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f1(top_of_basis(X1),f11(X8,f2(top_of_basis(X1),X9))))))))))),top_of_basis(X3))
      | element_of_collection(f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f1(top_of_basis(X1),f11(X8,f2(top_of_basis(X1),X9))))))))),top_of_basis(X4))
      | element_of_collection(f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f1(top_of_basis(X1),f11(X8,f2(top_of_basis(X1),X9))))))),top_of_basis(X5))
      | element_of_collection(f1(top_of_basis(X1),f11(X7,f1(top_of_basis(X1),f11(X8,f2(top_of_basis(X1),X9))))),top_of_basis(X6))
      | element_of_collection(f1(top_of_basis(X1),f11(X8,f2(top_of_basis(X1),X9))),top_of_basis(X7))
      | element_of_set(X9,intersection_of_members(top_of_basis(X1)))
      | element_of_collection(f2(top_of_basis(X1),X9),top_of_basis(X8))
      | element_of_set(X0,f10(X1,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f1(top_of_basis(X1),f11(X8,f2(top_of_basis(X1),X9))))))))))))))),X0))
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f1(top_of_basis(X1),f11(X8,f2(top_of_basis(X1),X9)))))))))))))))) ),
    inference(resolution,[status(thm)],[f162,f330]) ).

fof(f553,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( element_of_collection(f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f2(top_of_basis(X1),X8))))))))))),top_of_basis(X2))
      | element_of_collection(f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f2(top_of_basis(X1),X8))))))))),top_of_basis(X3))
      | element_of_collection(f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f2(top_of_basis(X1),X8))))))),top_of_basis(X4))
      | element_of_collection(f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f2(top_of_basis(X1),X8))))),top_of_basis(X5))
      | element_of_collection(f1(top_of_basis(X1),f11(X7,f2(top_of_basis(X1),X8))),top_of_basis(X6))
      | element_of_set(X8,intersection_of_members(top_of_basis(X1)))
      | element_of_collection(f2(top_of_basis(X1),X8),top_of_basis(X7))
      | element_of_set(X0,f10(X1,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f2(top_of_basis(X1),X8))))))))))))),X0))
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f2(top_of_basis(X1),X8)))))))))))))) ),
    inference(resolution,[status(thm)],[f162,f324]) ).

fof(f554,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( element_of_collection(f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f2(top_of_basis(X1),X7))))))))),top_of_basis(X2))
      | element_of_collection(f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f2(top_of_basis(X1),X7))))))),top_of_basis(X3))
      | element_of_collection(f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f2(top_of_basis(X1),X7))))),top_of_basis(X4))
      | element_of_collection(f1(top_of_basis(X1),f11(X6,f2(top_of_basis(X1),X7))),top_of_basis(X5))
      | element_of_set(X7,intersection_of_members(top_of_basis(X1)))
      | element_of_collection(f2(top_of_basis(X1),X7),top_of_basis(X6))
      | element_of_set(X0,f10(X1,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f2(top_of_basis(X1),X7))))))))))),X0))
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f2(top_of_basis(X1),X7)))))))))))) ),
    inference(resolution,[status(thm)],[f162,f318]) ).

fof(f555,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_collection(f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f2(top_of_basis(X1),X6))))))),top_of_basis(X2))
      | element_of_collection(f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f2(top_of_basis(X1),X6))))),top_of_basis(X3))
      | element_of_collection(f1(top_of_basis(X1),f11(X5,f2(top_of_basis(X1),X6))),top_of_basis(X4))
      | element_of_set(X6,intersection_of_members(top_of_basis(X1)))
      | element_of_collection(f2(top_of_basis(X1),X6),top_of_basis(X5))
      | element_of_set(X0,f10(X1,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f2(top_of_basis(X1),X6))))))))),X0))
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f2(top_of_basis(X1),X6)))))))))) ),
    inference(resolution,[status(thm)],[f162,f312]) ).

fof(f556,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f2(top_of_basis(X1),X5))))),top_of_basis(X2))
      | element_of_collection(f1(top_of_basis(X1),f11(X4,f2(top_of_basis(X1),X5))),top_of_basis(X3))
      | element_of_set(X5,intersection_of_members(top_of_basis(X1)))
      | element_of_collection(f2(top_of_basis(X1),X5),top_of_basis(X4))
      | element_of_set(X0,f10(X1,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f2(top_of_basis(X1),X5))))))),X0))
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f2(top_of_basis(X1),X5)))))))) ),
    inference(resolution,[status(thm)],[f162,f306]) ).

fof(f557,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f1(top_of_basis(X1),f11(X3,f2(top_of_basis(X1),X4))),top_of_basis(X2))
      | element_of_set(X4,intersection_of_members(top_of_basis(X1)))
      | element_of_collection(f2(top_of_basis(X1),X4),top_of_basis(X3))
      | element_of_set(X0,f10(X1,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f2(top_of_basis(X1),X4))))),X0))
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f2(top_of_basis(X1),X4)))))) ),
    inference(resolution,[status(thm)],[f162,f300]) ).

fof(f558,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(top_of_basis(X1)))
      | element_of_collection(f2(top_of_basis(X1),X3),top_of_basis(X2))
      | element_of_set(X0,f10(X1,f1(top_of_basis(X1),f11(X2,f2(top_of_basis(X1),X3))),X0))
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,f2(top_of_basis(X1),X3)))) ),
    inference(resolution,[status(thm)],[f162,f294]) ).

fof(f559,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(top_of_basis(X1)))
      | element_of_set(X0,f10(X1,f2(top_of_basis(X1),X2),X0))
      | ~ element_of_set(X0,f2(top_of_basis(X1),X2)) ),
    inference(resolution,[status(thm)],[f162,f119]) ).

fof(f560,plain,
    ! [X0,X1,X2] :
      ( ~ sQ4_spl
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X2))
      | element_of_collection(f10(X1,f1(top_of_basis(X1),f11(X2,intersection_of_members(top_of_basis(X1)))),X0),X1)
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,intersection_of_members(top_of_basis(X1))))) ),
    inference(resolution,[status(thm)],[f163,f418]) ).

fof(f561,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(union_of_members(top_of_basis(X1)),top_of_basis(X2))
      | element_of_collection(f10(X1,f1(top_of_basis(X1),f11(X2,union_of_members(top_of_basis(X1)))),X0),X1)
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,union_of_members(top_of_basis(X1))))) ),
    inference(resolution,[status(thm)],[f163,f292]) ).

fof(f562,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ4_spl
      | element_of_collection(f1(top_of_basis(X1),f11(X3,intersection_of_members(top_of_basis(X1)))),top_of_basis(X2))
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X3))
      | element_of_collection(f10(X1,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,intersection_of_members(top_of_basis(X1)))))),X0),X1)
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,intersection_of_members(top_of_basis(X1))))))) ),
    inference(resolution,[status(thm)],[f163,f453]) ).

fof(f563,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f1(top_of_basis(X1),f11(X3,union_of_members(top_of_basis(X1)))),top_of_basis(X2))
      | element_of_collection(union_of_members(top_of_basis(X1)),top_of_basis(X3))
      | element_of_collection(f10(X1,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,union_of_members(top_of_basis(X1)))))),X0),X1)
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,union_of_members(top_of_basis(X1))))))) ),
    inference(resolution,[status(thm)],[f163,f393]) ).

fof(f564,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ4_spl
      | element_of_collection(f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,intersection_of_members(top_of_basis(X1)))))),top_of_basis(X2))
      | element_of_collection(f1(top_of_basis(X1),f11(X4,intersection_of_members(top_of_basis(X1)))),top_of_basis(X3))
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X4))
      | element_of_collection(f10(X1,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,intersection_of_members(top_of_basis(X1)))))))),X0),X1)
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,intersection_of_members(top_of_basis(X1))))))))) ),
    inference(resolution,[status(thm)],[f163,f480]) ).

fof(f565,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,union_of_members(top_of_basis(X1)))))),top_of_basis(X2))
      | element_of_collection(f1(top_of_basis(X1),f11(X4,union_of_members(top_of_basis(X1)))),top_of_basis(X3))
      | element_of_collection(union_of_members(top_of_basis(X1)),top_of_basis(X4))
      | element_of_collection(f10(X1,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,union_of_members(top_of_basis(X1)))))))),X0),X1)
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,union_of_members(top_of_basis(X1))))))))) ),
    inference(resolution,[status(thm)],[f163,f462]) ).

fof(f566,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ4_spl
      | element_of_collection(f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,intersection_of_members(top_of_basis(X1)))))))),top_of_basis(X2))
      | element_of_collection(f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,intersection_of_members(top_of_basis(X1)))))),top_of_basis(X3))
      | element_of_collection(f1(top_of_basis(X1),f11(X5,intersection_of_members(top_of_basis(X1)))),top_of_basis(X4))
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X5))
      | element_of_collection(f10(X1,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,intersection_of_members(top_of_basis(X1)))))))))),X0),X1)
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,intersection_of_members(top_of_basis(X1))))))))))) ),
    inference(resolution,[status(thm)],[f163,f491]) ).

fof(f567,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,union_of_members(top_of_basis(X1)))))))),top_of_basis(X2))
      | element_of_collection(f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,union_of_members(top_of_basis(X1)))))),top_of_basis(X3))
      | element_of_collection(f1(top_of_basis(X1),f11(X5,union_of_members(top_of_basis(X1)))),top_of_basis(X4))
      | element_of_collection(union_of_members(top_of_basis(X1)),top_of_basis(X5))
      | element_of_collection(f10(X1,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,union_of_members(top_of_basis(X1)))))))))),X0),X1)
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,union_of_members(top_of_basis(X1))))))))))) ),
    inference(resolution,[status(thm)],[f163,f473]) ).

fof(f568,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ4_spl
      | element_of_collection(f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,intersection_of_members(top_of_basis(X1)))))))))),top_of_basis(X2))
      | element_of_collection(f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,intersection_of_members(top_of_basis(X1)))))))),top_of_basis(X3))
      | element_of_collection(f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,intersection_of_members(top_of_basis(X1)))))),top_of_basis(X4))
      | element_of_collection(f1(top_of_basis(X1),f11(X6,intersection_of_members(top_of_basis(X1)))),top_of_basis(X5))
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X6))
      | element_of_collection(f10(X1,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,intersection_of_members(top_of_basis(X1)))))))))))),X0),X1)
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,intersection_of_members(top_of_basis(X1))))))))))))) ),
    inference(resolution,[status(thm)],[f163,f511]) ).

fof(f569,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_collection(f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,union_of_members(top_of_basis(X1)))))))))),top_of_basis(X2))
      | element_of_collection(f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,union_of_members(top_of_basis(X1)))))))),top_of_basis(X3))
      | element_of_collection(f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,union_of_members(top_of_basis(X1)))))),top_of_basis(X4))
      | element_of_collection(f1(top_of_basis(X1),f11(X6,union_of_members(top_of_basis(X1)))),top_of_basis(X5))
      | element_of_collection(union_of_members(top_of_basis(X1)),top_of_basis(X6))
      | element_of_collection(f10(X1,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,union_of_members(top_of_basis(X1)))))))))))),X0),X1)
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,union_of_members(top_of_basis(X1))))))))))))) ),
    inference(resolution,[status(thm)],[f163,f509]) ).

fof(f570,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( element_of_collection(f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,union_of_members(top_of_basis(X1)))))))))))),top_of_basis(X2))
      | element_of_collection(f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,union_of_members(top_of_basis(X1)))))))))),top_of_basis(X3))
      | element_of_collection(f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,union_of_members(top_of_basis(X1)))))))),top_of_basis(X4))
      | element_of_collection(f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,union_of_members(top_of_basis(X1)))))),top_of_basis(X5))
      | element_of_collection(f1(top_of_basis(X1),f11(X7,union_of_members(top_of_basis(X1)))),top_of_basis(X6))
      | element_of_collection(union_of_members(top_of_basis(X1)),top_of_basis(X7))
      | element_of_collection(f10(X1,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,union_of_members(top_of_basis(X1)))))))))))))),X0),X1)
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,union_of_members(top_of_basis(X1))))))))))))))) ),
    inference(resolution,[status(thm)],[f163,f522]) ).

fof(f571,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( element_of_collection(f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f1(top_of_basis(X1),f11(X8,union_of_members(top_of_basis(X1)))))))))))))),top_of_basis(X2))
      | element_of_collection(f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f1(top_of_basis(X1),f11(X8,union_of_members(top_of_basis(X1)))))))))))),top_of_basis(X3))
      | element_of_collection(f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f1(top_of_basis(X1),f11(X8,union_of_members(top_of_basis(X1)))))))))),top_of_basis(X4))
      | element_of_collection(f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f1(top_of_basis(X1),f11(X8,union_of_members(top_of_basis(X1)))))))),top_of_basis(X5))
      | element_of_collection(f1(top_of_basis(X1),f11(X7,f1(top_of_basis(X1),f11(X8,union_of_members(top_of_basis(X1)))))),top_of_basis(X6))
      | element_of_collection(f1(top_of_basis(X1),f11(X8,union_of_members(top_of_basis(X1)))),top_of_basis(X7))
      | element_of_collection(union_of_members(top_of_basis(X1)),top_of_basis(X8))
      | element_of_collection(f10(X1,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f1(top_of_basis(X1),f11(X8,union_of_members(top_of_basis(X1)))))))))))))))),X0),X1)
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f1(top_of_basis(X1),f11(X8,union_of_members(top_of_basis(X1))))))))))))))))) ),
    inference(resolution,[status(thm)],[f163,f533]) ).

fof(f572,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( element_of_collection(f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f1(top_of_basis(X1),f11(X8,f1(top_of_basis(X1),f11(X9,f2(top_of_basis(X1),X10))))))))))))))),top_of_basis(X2))
      | element_of_collection(f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f1(top_of_basis(X1),f11(X8,f1(top_of_basis(X1),f11(X9,f2(top_of_basis(X1),X10))))))))))))),top_of_basis(X3))
      | element_of_collection(f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f1(top_of_basis(X1),f11(X8,f1(top_of_basis(X1),f11(X9,f2(top_of_basis(X1),X10))))))))))),top_of_basis(X4))
      | element_of_collection(f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f1(top_of_basis(X1),f11(X8,f1(top_of_basis(X1),f11(X9,f2(top_of_basis(X1),X10))))))))),top_of_basis(X5))
      | element_of_collection(f1(top_of_basis(X1),f11(X7,f1(top_of_basis(X1),f11(X8,f1(top_of_basis(X1),f11(X9,f2(top_of_basis(X1),X10))))))),top_of_basis(X6))
      | element_of_collection(f1(top_of_basis(X1),f11(X8,f1(top_of_basis(X1),f11(X9,f2(top_of_basis(X1),X10))))),top_of_basis(X7))
      | element_of_collection(f1(top_of_basis(X1),f11(X9,f2(top_of_basis(X1),X10))),top_of_basis(X8))
      | element_of_set(X10,intersection_of_members(top_of_basis(X1)))
      | element_of_collection(f2(top_of_basis(X1),X10),top_of_basis(X9))
      | element_of_collection(f10(X1,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f1(top_of_basis(X1),f11(X8,f1(top_of_basis(X1),f11(X9,f2(top_of_basis(X1),X10))))))))))))))))),X0),X1)
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f1(top_of_basis(X1),f11(X8,f1(top_of_basis(X1),f11(X9,f2(top_of_basis(X1),X10)))))))))))))))))) ),
    inference(resolution,[status(thm)],[f163,f336]) ).

fof(f573,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( element_of_collection(f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f1(top_of_basis(X1),f11(X8,f2(top_of_basis(X1),X9))))))))))))),top_of_basis(X2))
      | element_of_collection(f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f1(top_of_basis(X1),f11(X8,f2(top_of_basis(X1),X9))))))))))),top_of_basis(X3))
      | element_of_collection(f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f1(top_of_basis(X1),f11(X8,f2(top_of_basis(X1),X9))))))))),top_of_basis(X4))
      | element_of_collection(f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f1(top_of_basis(X1),f11(X8,f2(top_of_basis(X1),X9))))))),top_of_basis(X5))
      | element_of_collection(f1(top_of_basis(X1),f11(X7,f1(top_of_basis(X1),f11(X8,f2(top_of_basis(X1),X9))))),top_of_basis(X6))
      | element_of_collection(f1(top_of_basis(X1),f11(X8,f2(top_of_basis(X1),X9))),top_of_basis(X7))
      | element_of_set(X9,intersection_of_members(top_of_basis(X1)))
      | element_of_collection(f2(top_of_basis(X1),X9),top_of_basis(X8))
      | element_of_collection(f10(X1,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f1(top_of_basis(X1),f11(X8,f2(top_of_basis(X1),X9))))))))))))))),X0),X1)
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f1(top_of_basis(X1),f11(X8,f2(top_of_basis(X1),X9)))))))))))))))) ),
    inference(resolution,[status(thm)],[f163,f330]) ).

fof(f574,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( element_of_collection(f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f2(top_of_basis(X1),X8))))))))))),top_of_basis(X2))
      | element_of_collection(f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f2(top_of_basis(X1),X8))))))))),top_of_basis(X3))
      | element_of_collection(f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f2(top_of_basis(X1),X8))))))),top_of_basis(X4))
      | element_of_collection(f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f2(top_of_basis(X1),X8))))),top_of_basis(X5))
      | element_of_collection(f1(top_of_basis(X1),f11(X7,f2(top_of_basis(X1),X8))),top_of_basis(X6))
      | element_of_set(X8,intersection_of_members(top_of_basis(X1)))
      | element_of_collection(f2(top_of_basis(X1),X8),top_of_basis(X7))
      | element_of_collection(f10(X1,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f2(top_of_basis(X1),X8))))))))))))),X0),X1)
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f2(top_of_basis(X1),X8)))))))))))))) ),
    inference(resolution,[status(thm)],[f163,f324]) ).

fof(f575,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( element_of_collection(f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f2(top_of_basis(X1),X7))))))))),top_of_basis(X2))
      | element_of_collection(f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f2(top_of_basis(X1),X7))))))),top_of_basis(X3))
      | element_of_collection(f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f2(top_of_basis(X1),X7))))),top_of_basis(X4))
      | element_of_collection(f1(top_of_basis(X1),f11(X6,f2(top_of_basis(X1),X7))),top_of_basis(X5))
      | element_of_set(X7,intersection_of_members(top_of_basis(X1)))
      | element_of_collection(f2(top_of_basis(X1),X7),top_of_basis(X6))
      | element_of_collection(f10(X1,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f2(top_of_basis(X1),X7))))))))))),X0),X1)
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f2(top_of_basis(X1),X7)))))))))))) ),
    inference(resolution,[status(thm)],[f163,f318]) ).

fof(f576,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_collection(f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f2(top_of_basis(X1),X6))))))),top_of_basis(X2))
      | element_of_collection(f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f2(top_of_basis(X1),X6))))),top_of_basis(X3))
      | element_of_collection(f1(top_of_basis(X1),f11(X5,f2(top_of_basis(X1),X6))),top_of_basis(X4))
      | element_of_set(X6,intersection_of_members(top_of_basis(X1)))
      | element_of_collection(f2(top_of_basis(X1),X6),top_of_basis(X5))
      | element_of_collection(f10(X1,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f2(top_of_basis(X1),X6))))))))),X0),X1)
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f2(top_of_basis(X1),X6)))))))))) ),
    inference(resolution,[status(thm)],[f163,f312]) ).

fof(f577,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f2(top_of_basis(X1),X5))))),top_of_basis(X2))
      | element_of_collection(f1(top_of_basis(X1),f11(X4,f2(top_of_basis(X1),X5))),top_of_basis(X3))
      | element_of_set(X5,intersection_of_members(top_of_basis(X1)))
      | element_of_collection(f2(top_of_basis(X1),X5),top_of_basis(X4))
      | element_of_collection(f10(X1,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f2(top_of_basis(X1),X5))))))),X0),X1)
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f2(top_of_basis(X1),X5)))))))) ),
    inference(resolution,[status(thm)],[f163,f306]) ).

fof(f578,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f1(top_of_basis(X1),f11(X3,f2(top_of_basis(X1),X4))),top_of_basis(X2))
      | element_of_set(X4,intersection_of_members(top_of_basis(X1)))
      | element_of_collection(f2(top_of_basis(X1),X4),top_of_basis(X3))
      | element_of_collection(f10(X1,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f2(top_of_basis(X1),X4))))),X0),X1)
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f2(top_of_basis(X1),X4)))))) ),
    inference(resolution,[status(thm)],[f163,f300]) ).

fof(f579,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(top_of_basis(X1)))
      | element_of_collection(f2(top_of_basis(X1),X3),top_of_basis(X2))
      | element_of_collection(f10(X1,f1(top_of_basis(X1),f11(X2,f2(top_of_basis(X1),X3))),X0),X1)
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,f2(top_of_basis(X1),X3)))) ),
    inference(resolution,[status(thm)],[f163,f294]) ).

fof(f580,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(top_of_basis(X1)))
      | element_of_collection(f10(X1,f2(top_of_basis(X1),X2),X0),X1)
      | ~ element_of_set(X0,f2(top_of_basis(X1),X2)) ),
    inference(resolution,[status(thm)],[f163,f119]) ).

fof(f581,plain,
    ! [X0,X1,X2] :
      ( ~ sQ4_spl
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X0))
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X2))
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X2))
      | element_of_set(f11(X0,intersection_of_members(top_of_basis(X1))),f10(X1,f1(top_of_basis(X1),f11(X2,intersection_of_members(top_of_basis(X1)))),f11(X0,intersection_of_members(top_of_basis(X1))))) ),
    inference(resolution,[status(thm)],[f539,f425]) ).

fof(f582,plain,
    ! [X0,X1] :
      ( ~ sQ4_spl
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X0))
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(top_of_basis(X1))),f10(X1,f1(top_of_basis(X1),f11(X0,intersection_of_members(top_of_basis(X1)))),f11(X0,intersection_of_members(top_of_basis(X1))))) ),
    inference(resolution,[status(thm)],[f539,f420]) ).

fof(f583,plain,
    ! [X0,X1,X2] :
      ( ~ sQ4_spl
      | element_of_collection(f1(top_of_basis(X1),f11(X2,intersection_of_members(top_of_basis(X1)))),top_of_basis(X0))
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X2))
      | element_of_set(f11(X0,f1(top_of_basis(X1),f11(X2,intersection_of_members(top_of_basis(X1))))),f10(X1,f1(top_of_basis(X1),f11(X2,intersection_of_members(top_of_basis(X1)))),f11(X0,f1(top_of_basis(X1),f11(X2,intersection_of_members(top_of_basis(X1))))))) ),
    inference(resolution,[status(thm)],[f539,f165]) ).

fof(f584,plain,
    ! [X0,X1,X2] :
      ( ~ sQ4_spl
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X0))
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X2))
      | element_of_set(f11(X0,intersection_of_members(top_of_basis(X1))),f10(X1,f1(top_of_basis(X1),f11(X2,intersection_of_members(top_of_basis(X1)))),f11(X0,intersection_of_members(top_of_basis(X1))))) ),
    inference(duplicate_literals_removal,[status(thm)],[f581]) ).

fof(f585,plain,
    ! [X0,X1] :
      ( ~ sQ4_spl
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X0))
      | element_of_set(f11(X0,intersection_of_members(top_of_basis(X1))),f10(X1,f1(top_of_basis(X1),f11(X0,intersection_of_members(top_of_basis(X1)))),f11(X0,intersection_of_members(top_of_basis(X1))))) ),
    inference(duplicate_literals_removal,[status(thm)],[f582]) ).

fof(f586,plain,
    ! [X0,X1,X2] :
      ( ~ sQ4_spl
      | 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))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1))
      | element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(X0)))),f11(X2,intersection_of_members(top_of_basis(X0)))),X0) ),
    inference(resolution,[status(thm)],[f560,f425]) ).

fof(f587,plain,
    ! [X0,X1] :
      ( ~ sQ4_spl
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1))
      | element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(X0)))),f11(X1,intersection_of_members(top_of_basis(X0)))),X0) ),
    inference(resolution,[status(thm)],[f560,f420]) ).

fof(f588,plain,
    ! [X0,X1,X2] :
      ( ~ sQ4_spl
      | 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))
      | element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(X0)))),f11(X2,f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(X0)))))),X0) ),
    inference(resolution,[status(thm)],[f560,f165]) ).

fof(f589,plain,
    ! [X0,X1,X2] :
      ( ~ sQ4_spl
      | 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))
      | element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(X0)))),f11(X2,intersection_of_members(top_of_basis(X0)))),X0) ),
    inference(duplicate_literals_removal,[status(thm)],[f586]) ).

fof(f590,plain,
    ! [X0,X1] :
      ( ~ sQ4_spl
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1))
      | element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(X0)))),f11(X1,intersection_of_members(top_of_basis(X0)))),X0) ),
    inference(duplicate_literals_removal,[status(thm)],[f587]) ).

fof(f591,plain,
    ! [X0,X1,X2] :
      ( ~ sQ4_spl
      | element_of_collection(f10(X0,f10(top_of_basis(X0),f1(top_of_basis(top_of_basis(X0)),f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))),f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))),X2),X0)
      | ~ element_of_set(X2,f10(top_of_basis(X0),f1(top_of_basis(top_of_basis(X0)),f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))),f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f590,f163]) ).

fof(f592,plain,
    ! [X0,X1,X2] :
      ( ~ sQ4_spl
      | element_of_set(X2,f10(X0,f10(top_of_basis(X0),f1(top_of_basis(top_of_basis(X0)),f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))),f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))),X2))
      | ~ element_of_set(X2,f10(top_of_basis(X0),f1(top_of_basis(top_of_basis(X0)),f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))),f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f590,f162]) ).

fof(f593,plain,
    ! [X0,X1,X2] :
      ( ~ sQ4_spl
      | element_of_set(f11(X2,intersection_of_members(X0)),f10(X0,f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(X0)))),f11(X1,intersection_of_members(top_of_basis(X0)))))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X2))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f590,f291]) ).

fof(f594,plain,
    ! [X0,X1,X2] :
      ( ~ sQ4_spl
      | ~ element_of_set(X2,f10(X0,f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(X0)))),f11(X1,intersection_of_members(top_of_basis(X0)))))
      | element_of_set(X2,union_of_members(X0))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f590,f116]) ).

fof(f595,plain,
    ! [X0,X1] :
      ( ~ sQ4_spl
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(top_of_basis(X0))),union_of_members(X0))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f594,f585]) ).

fof(f596,plain,
    ! [X0,X1,X2] :
      ( ~ sQ4_spl
      | element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(X0)))),f11(X1,intersection_of_members(top_of_basis(X0)))),top_of_basis(X2))
      | element_of_set(f11(X2,f10(X0,f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(X0)))),f11(X1,intersection_of_members(top_of_basis(X0))))),union_of_members(X0))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f594,f165]) ).

fof(f597,plain,
    ! [X0,X1] :
      ( ~ sQ4_spl
      | element_of_set(f11(X1,intersection_of_members(top_of_basis(X0))),union_of_members(X0))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f595]) ).

fof(f598,plain,
    ! [X0,X1] :
      ( ~ sQ4_spl
      | element_of_collection(f1(X0,f11(X1,intersection_of_members(top_of_basis(X0)))),X0)
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f597,f114]) ).

fof(f599,plain,
    ! [X0,X1] :
      ( ~ sQ4_spl
      | element_of_set(f11(X1,intersection_of_members(top_of_basis(X0))),f1(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)],[f597,f113]) ).

fof(f600,plain,
    ! [X0,X1,X2] :
      ( ~ sQ4_spl
      | element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))),X2),X0)
      | ~ element_of_set(X2,f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f598,f163]) ).

fof(f601,plain,
    ! [X0,X1,X2] :
      ( ~ sQ4_spl
      | element_of_set(X2,f10(X0,f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))),X2))
      | ~ element_of_set(X2,f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f598,f162]) ).

fof(f602,plain,
    ! [X0,X1,X2] :
      ( ~ sQ4_spl
      | element_of_set(f11(X2,intersection_of_members(X0)),f1(X0,f11(X1,intersection_of_members(top_of_basis(X0)))))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X2))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f598,f291]) ).

fof(f603,plain,
    ! [X0,X1,X2] :
      ( ~ sQ4_spl
      | ~ element_of_set(X2,f1(X0,f11(X1,intersection_of_members(top_of_basis(X0)))))
      | element_of_set(X2,union_of_members(X0))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f598,f116]) ).

fof(f604,plain,
    ! [X0,X1,X2] :
      ( ~ sQ4_spl
      | element_of_collection(f1(X0,f11(X1,intersection_of_members(top_of_basis(X0)))),top_of_basis(X2))
      | element_of_set(f11(X2,f1(X0,f11(X1,intersection_of_members(top_of_basis(X0))))),union_of_members(X0))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f603,f165]) ).

fof(f605,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(top_of_basis(X1)))
      | element_of_collection(f2(top_of_basis(X1),X3),top_of_basis(X2))
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X0))
      | element_of_set(X3,intersection_of_members(top_of_basis(X1)))
      | element_of_collection(f2(top_of_basis(X1),X3),top_of_basis(X2))
      | element_of_set(f11(X0,intersection_of_members(top_of_basis(X1))),f10(X1,f1(top_of_basis(X1),f11(X2,f2(top_of_basis(X1),X3))),f11(X0,intersection_of_members(top_of_basis(X1))))) ),
    inference(resolution,[status(thm)],[f558,f353]) ).

fof(f606,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(top_of_basis(X1)))
      | element_of_collection(f2(top_of_basis(X1),X2),top_of_basis(X0))
      | element_of_set(X2,intersection_of_members(top_of_basis(X1)))
      | element_of_collection(f2(top_of_basis(X1),X2),top_of_basis(X0))
      | element_of_set(f11(X0,f2(top_of_basis(X1),X2)),f10(X1,f1(top_of_basis(X1),f11(X0,f2(top_of_basis(X1),X2))),f11(X0,f2(top_of_basis(X1),X2)))) ),
    inference(resolution,[status(thm)],[f558,f295]) ).

fof(f607,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f1(top_of_basis(X1),f11(X2,f2(top_of_basis(X1),X3))),top_of_basis(X0))
      | element_of_set(X3,intersection_of_members(top_of_basis(X1)))
      | element_of_collection(f2(top_of_basis(X1),X3),top_of_basis(X2))
      | element_of_set(f11(X0,f1(top_of_basis(X1),f11(X2,f2(top_of_basis(X1),X3)))),f10(X1,f1(top_of_basis(X1),f11(X2,f2(top_of_basis(X1),X3))),f11(X0,f1(top_of_basis(X1),f11(X2,f2(top_of_basis(X1),X3)))))) ),
    inference(resolution,[status(thm)],[f558,f165]) ).

fof(f608,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X0))
      | element_of_set(X3,intersection_of_members(top_of_basis(X1)))
      | element_of_collection(f2(top_of_basis(X1),X3),top_of_basis(X2))
      | element_of_set(f11(X0,intersection_of_members(top_of_basis(X1))),f10(X1,f1(top_of_basis(X1),f11(X2,f2(top_of_basis(X1),X3))),f11(X0,intersection_of_members(top_of_basis(X1))))) ),
    inference(duplicate_literals_removal,[status(thm)],[f605]) ).

fof(f609,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(top_of_basis(X1)))
      | element_of_collection(f2(top_of_basis(X1),X2),top_of_basis(X0))
      | element_of_set(f11(X0,f2(top_of_basis(X1),X2)),f10(X1,f1(top_of_basis(X1),f11(X0,f2(top_of_basis(X1),X2))),f11(X0,f2(top_of_basis(X1),X2)))) ),
    inference(duplicate_literals_removal,[status(thm)],[f606]) ).

fof(f610,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X2,intersection_of_members(top_of_basis(X0)))
      | element_of_collection(f2(top_of_basis(X0),X2),top_of_basis(X1))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X3))
      | element_of_set(X2,intersection_of_members(top_of_basis(X0)))
      | element_of_collection(f2(top_of_basis(X0),X2),top_of_basis(X1))
      | element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X1,f2(top_of_basis(X0),X2))),f11(X3,intersection_of_members(top_of_basis(X0)))),X0) ),
    inference(resolution,[status(thm)],[f579,f353]) ).

fof(f611,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(top_of_basis(X0)))
      | element_of_collection(f2(top_of_basis(X0),X2),top_of_basis(X1))
      | element_of_set(X2,intersection_of_members(top_of_basis(X0)))
      | element_of_collection(f2(top_of_basis(X0),X2),top_of_basis(X1))
      | element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X1,f2(top_of_basis(X0),X2))),f11(X1,f2(top_of_basis(X0),X2))),X0) ),
    inference(resolution,[status(thm)],[f579,f295]) ).

fof(f612,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f1(top_of_basis(X0),f11(X1,f2(top_of_basis(X0),X2))),top_of_basis(X3))
      | element_of_set(X2,intersection_of_members(top_of_basis(X0)))
      | element_of_collection(f2(top_of_basis(X0),X2),top_of_basis(X1))
      | element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X1,f2(top_of_basis(X0),X2))),f11(X3,f1(top_of_basis(X0),f11(X1,f2(top_of_basis(X0),X2))))),X0) ),
    inference(resolution,[status(thm)],[f579,f165]) ).

fof(f613,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X3))
      | element_of_set(X2,intersection_of_members(top_of_basis(X0)))
      | element_of_collection(f2(top_of_basis(X0),X2),top_of_basis(X1))
      | element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X1,f2(top_of_basis(X0),X2))),f11(X3,intersection_of_members(top_of_basis(X0)))),X0) ),
    inference(duplicate_literals_removal,[status(thm)],[f610]) ).

fof(f614,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(top_of_basis(X0)))
      | element_of_collection(f2(top_of_basis(X0),X2),top_of_basis(X1))
      | element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X1,f2(top_of_basis(X0),X2))),f11(X1,f2(top_of_basis(X0),X2))),X0) ),
    inference(duplicate_literals_removal,[status(thm)],[f611]) ).

fof(f615,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X0))
      | element_of_collection(f1(top_of_basis(X1),f11(X3,union_of_members(top_of_basis(X1)))),top_of_basis(X2))
      | element_of_collection(union_of_members(top_of_basis(X1)),top_of_basis(X3))
      | element_of_collection(f1(top_of_basis(X1),f11(X3,union_of_members(top_of_basis(X1)))),top_of_basis(X2))
      | element_of_collection(union_of_members(top_of_basis(X1)),top_of_basis(X3))
      | element_of_set(f11(X0,intersection_of_members(top_of_basis(X1))),f10(X1,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,union_of_members(top_of_basis(X1)))))),f11(X0,intersection_of_members(top_of_basis(X1))))) ),
    inference(resolution,[status(thm)],[f542,f449]) ).

fof(f616,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f1(top_of_basis(X1),f11(X2,union_of_members(top_of_basis(X1)))),top_of_basis(X0))
      | element_of_collection(union_of_members(top_of_basis(X1)),top_of_basis(X2))
      | element_of_collection(f1(top_of_basis(X1),f11(X2,union_of_members(top_of_basis(X1)))),top_of_basis(X0))
      | element_of_collection(union_of_members(top_of_basis(X1)),top_of_basis(X2))
      | element_of_set(f11(X0,f1(top_of_basis(X1),f11(X2,union_of_members(top_of_basis(X1))))),f10(X1,f1(top_of_basis(X1),f11(X0,f1(top_of_basis(X1),f11(X2,union_of_members(top_of_basis(X1)))))),f11(X0,f1(top_of_basis(X1),f11(X2,union_of_members(top_of_basis(X1))))))) ),
    inference(resolution,[status(thm)],[f542,f394]) ).

fof(f617,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,union_of_members(top_of_basis(X1)))))),top_of_basis(X0))
      | element_of_collection(f1(top_of_basis(X1),f11(X3,union_of_members(top_of_basis(X1)))),top_of_basis(X2))
      | element_of_collection(union_of_members(top_of_basis(X1)),top_of_basis(X3))
      | element_of_set(f11(X0,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,union_of_members(top_of_basis(X1))))))),f10(X1,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,union_of_members(top_of_basis(X1)))))),f11(X0,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,union_of_members(top_of_basis(X1))))))))) ),
    inference(resolution,[status(thm)],[f542,f165]) ).

fof(f618,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X0))
      | element_of_collection(f1(top_of_basis(X1),f11(X3,union_of_members(top_of_basis(X1)))),top_of_basis(X2))
      | element_of_collection(union_of_members(top_of_basis(X1)),top_of_basis(X3))
      | element_of_set(f11(X0,intersection_of_members(top_of_basis(X1))),f10(X1,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,union_of_members(top_of_basis(X1)))))),f11(X0,intersection_of_members(top_of_basis(X1))))) ),
    inference(duplicate_literals_removal,[status(thm)],[f615]) ).

fof(f619,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f1(top_of_basis(X1),f11(X2,union_of_members(top_of_basis(X1)))),top_of_basis(X0))
      | element_of_collection(union_of_members(top_of_basis(X1)),top_of_basis(X2))
      | element_of_set(f11(X0,f1(top_of_basis(X1),f11(X2,union_of_members(top_of_basis(X1))))),f10(X1,f1(top_of_basis(X1),f11(X0,f1(top_of_basis(X1),f11(X2,union_of_members(top_of_basis(X1)))))),f11(X0,f1(top_of_basis(X1),f11(X2,union_of_members(top_of_basis(X1))))))) ),
    inference(duplicate_literals_removal,[status(thm)],[f616]) ).

fof(f620,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X3))
      | element_of_collection(f1(top_of_basis(X0),f11(X2,union_of_members(top_of_basis(X0)))),top_of_basis(X1))
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X2))
      | element_of_collection(f1(top_of_basis(X0),f11(X2,union_of_members(top_of_basis(X0)))),top_of_basis(X1))
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X2))
      | element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X1,f1(top_of_basis(X0),f11(X2,union_of_members(top_of_basis(X0)))))),f11(X3,intersection_of_members(top_of_basis(X0)))),X0) ),
    inference(resolution,[status(thm)],[f563,f449]) ).

fof(f621,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f1(top_of_basis(X0),f11(X2,union_of_members(top_of_basis(X0)))),top_of_basis(X1))
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X2))
      | element_of_collection(f1(top_of_basis(X0),f11(X2,union_of_members(top_of_basis(X0)))),top_of_basis(X1))
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X2))
      | element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X1,f1(top_of_basis(X0),f11(X2,union_of_members(top_of_basis(X0)))))),f11(X1,f1(top_of_basis(X0),f11(X2,union_of_members(top_of_basis(X0)))))),X0) ),
    inference(resolution,[status(thm)],[f563,f394]) ).

fof(f622,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f1(top_of_basis(X0),f11(X1,f1(top_of_basis(X0),f11(X2,union_of_members(top_of_basis(X0)))))),top_of_basis(X3))
      | element_of_collection(f1(top_of_basis(X0),f11(X2,union_of_members(top_of_basis(X0)))),top_of_basis(X1))
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X2))
      | element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X1,f1(top_of_basis(X0),f11(X2,union_of_members(top_of_basis(X0)))))),f11(X3,f1(top_of_basis(X0),f11(X1,f1(top_of_basis(X0),f11(X2,union_of_members(top_of_basis(X0)))))))),X0) ),
    inference(resolution,[status(thm)],[f563,f165]) ).

fof(f623,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X3))
      | element_of_collection(f1(top_of_basis(X0),f11(X2,union_of_members(top_of_basis(X0)))),top_of_basis(X1))
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X2))
      | element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X1,f1(top_of_basis(X0),f11(X2,union_of_members(top_of_basis(X0)))))),f11(X3,intersection_of_members(top_of_basis(X0)))),X0) ),
    inference(duplicate_literals_removal,[status(thm)],[f620]) ).

fof(f624,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f1(top_of_basis(X0),f11(X2,union_of_members(top_of_basis(X0)))),top_of_basis(X1))
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X2))
      | element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X1,f1(top_of_basis(X0),f11(X2,union_of_members(top_of_basis(X0)))))),f11(X1,f1(top_of_basis(X0),f11(X2,union_of_members(top_of_basis(X0)))))),X0) ),
    inference(duplicate_literals_removal,[status(thm)],[f621]) ).

fof(f629,plain,
    ! [X0,X1,X2] :
      ( ~ sQ4_spl
      | element_of_collection(f1(X0,f11(X2,f1(X0,f11(X1,intersection_of_members(top_of_basis(X0)))))),X0)
      | element_of_collection(f1(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)],[f604,f114]) ).

fof(f630,plain,
    ! [X0,X1,X2] :
      ( ~ sQ4_spl
      | element_of_set(f11(X2,f1(X0,f11(X1,intersection_of_members(top_of_basis(X0))))),f1(X0,f11(X2,f1(X0,f11(X1,intersection_of_members(top_of_basis(X0)))))))
      | element_of_collection(f1(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)],[f604,f113]) ).

fof(f631,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ4_spl
      | element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X2,f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))))),X3),X0)
      | ~ element_of_set(X3,f1(top_of_basis(X0),f11(X2,f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))))))
      | element_of_collection(f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))),top_of_basis(X2))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f629,f163]) ).

fof(f632,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ4_spl
      | element_of_set(X3,f10(X0,f1(top_of_basis(X0),f11(X2,f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))))),X3))
      | ~ element_of_set(X3,f1(top_of_basis(X0),f11(X2,f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))))))
      | element_of_collection(f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))),top_of_basis(X2))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f629,f162]) ).

fof(f633,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ4_spl
      | element_of_set(f11(X3,intersection_of_members(X0)),f1(X0,f11(X2,f1(X0,f11(X1,intersection_of_members(top_of_basis(X0)))))))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X3))
      | element_of_collection(f1(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)],[f629,f291]) ).

fof(f634,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ4_spl
      | ~ element_of_set(X3,f1(X0,f11(X2,f1(X0,f11(X1,intersection_of_members(top_of_basis(X0)))))))
      | element_of_set(X3,union_of_members(X0))
      | element_of_collection(f1(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)],[f629,f116]) ).

fof(f635,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ4_spl
      | element_of_collection(f10(X0,f10(top_of_basis(X0),f1(top_of_basis(top_of_basis(X0)),f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))),f11(X2,intersection_of_members(top_of_basis(top_of_basis(X0))))),X3),X0)
      | ~ element_of_set(X3,f10(top_of_basis(X0),f1(top_of_basis(top_of_basis(X0)),f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))),f11(X2,intersection_of_members(top_of_basis(top_of_basis(X0))))))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X2))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f589,f163]) ).

fof(f636,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ4_spl
      | element_of_set(X3,f10(X0,f10(top_of_basis(X0),f1(top_of_basis(top_of_basis(X0)),f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))),f11(X2,intersection_of_members(top_of_basis(top_of_basis(X0))))),X3))
      | ~ element_of_set(X3,f10(top_of_basis(X0),f1(top_of_basis(top_of_basis(X0)),f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))),f11(X2,intersection_of_members(top_of_basis(top_of_basis(X0))))))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X2))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f589,f162]) ).

fof(f637,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ4_spl
      | element_of_set(f11(X3,intersection_of_members(X0)),f10(X0,f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(X0)))),f11(X2,intersection_of_members(top_of_basis(X0)))))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X3))
      | 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)],[f589,f291]) ).

fof(f638,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ4_spl
      | ~ element_of_set(X3,f10(X0,f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(X0)))),f11(X2,intersection_of_members(top_of_basis(X0)))))
      | element_of_set(X3,union_of_members(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)],[f589,f116]) ).

fof(f639,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f10(X0,f10(top_of_basis(X0),f1(top_of_basis(top_of_basis(X0)),f11(X2,f2(top_of_basis(top_of_basis(X0)),X1))),f11(X2,f2(top_of_basis(top_of_basis(X0)),X1))),X3),X0)
      | ~ element_of_set(X3,f10(top_of_basis(X0),f1(top_of_basis(top_of_basis(X0)),f11(X2,f2(top_of_basis(top_of_basis(X0)),X1))),f11(X2,f2(top_of_basis(top_of_basis(X0)),X1))))
      | element_of_set(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))
      | element_of_collection(f2(top_of_basis(top_of_basis(X0)),X1),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f614,f163]) ).

fof(f640,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,f10(X0,f10(top_of_basis(X0),f1(top_of_basis(top_of_basis(X0)),f11(X2,f2(top_of_basis(top_of_basis(X0)),X1))),f11(X2,f2(top_of_basis(top_of_basis(X0)),X1))),X3))
      | ~ element_of_set(X3,f10(top_of_basis(X0),f1(top_of_basis(top_of_basis(X0)),f11(X2,f2(top_of_basis(top_of_basis(X0)),X1))),f11(X2,f2(top_of_basis(top_of_basis(X0)),X1))))
      | element_of_set(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))
      | element_of_collection(f2(top_of_basis(top_of_basis(X0)),X1),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f614,f162]) ).

fof(f641,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(f11(X3,intersection_of_members(X0)),f10(X0,f1(top_of_basis(X0),f11(X2,f2(top_of_basis(X0),X1))),f11(X2,f2(top_of_basis(X0),X1))))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X3))
      | element_of_set(X1,intersection_of_members(top_of_basis(X0)))
      | element_of_collection(f2(top_of_basis(X0),X1),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f614,f291]) ).

fof(f642,plain,
    ! [X0,X1,X2,X3] :
      ( ~ element_of_set(X3,f10(X0,f1(top_of_basis(X0),f11(X2,f2(top_of_basis(X0),X1))),f11(X2,f2(top_of_basis(X0),X1))))
      | element_of_set(X3,union_of_members(X0))
      | element_of_set(X1,intersection_of_members(top_of_basis(X0)))
      | element_of_collection(f2(top_of_basis(X0),X1),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f614,f116]) ).

fof(f645,plain,
    ! [X0,X1] :
      ( ~ sQ4_spl
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1))
      | element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))),f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))),X0)
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f600,f599]) ).

fof(f646,plain,
    ! [X0,X1,X2] :
      ( ~ sQ4_spl
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X2))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1))
      | element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))),f11(X2,intersection_of_members(top_of_basis(X0)))),X0)
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f600,f602]) ).

fof(f647,plain,
    ! [X0,X1,X2] :
      ( ~ sQ4_spl
      | element_of_collection(f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))),top_of_basis(X2))
      | element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))),f11(X2,f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))))),X0)
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f600,f165]) ).

fof(f648,plain,
    ! [X0,X1] :
      ( ~ sQ4_spl
      | element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))),f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))),X0)
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f645]) ).

fof(f649,plain,
    ! [X0,X1,X2] :
      ( ~ sQ4_spl
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X2))
      | element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))),f11(X2,intersection_of_members(top_of_basis(X0)))),X0)
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f646]) ).

fof(f650,plain,
    ! [X0,X1,X2] :
      ( ~ sQ4_spl
      | element_of_collection(f10(X0,f10(top_of_basis(X0),f1(top_of_basis(top_of_basis(X0)),f11(X1,intersection_of_members(top_of_basis(top_of_basis(top_of_basis(X0)))))),f11(X1,intersection_of_members(top_of_basis(top_of_basis(top_of_basis(X0)))))),X2),X0)
      | ~ element_of_set(X2,f10(top_of_basis(X0),f1(top_of_basis(top_of_basis(X0)),f11(X1,intersection_of_members(top_of_basis(top_of_basis(top_of_basis(X0)))))),f11(X1,intersection_of_members(top_of_basis(top_of_basis(top_of_basis(X0)))))))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(top_of_basis(X0)))),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f648,f163]) ).

fof(f651,plain,
    ! [X0,X1,X2] :
      ( ~ sQ4_spl
      | element_of_set(X2,f10(X0,f10(top_of_basis(X0),f1(top_of_basis(top_of_basis(X0)),f11(X1,intersection_of_members(top_of_basis(top_of_basis(top_of_basis(X0)))))),f11(X1,intersection_of_members(top_of_basis(top_of_basis(top_of_basis(X0)))))),X2))
      | ~ element_of_set(X2,f10(top_of_basis(X0),f1(top_of_basis(top_of_basis(X0)),f11(X1,intersection_of_members(top_of_basis(top_of_basis(top_of_basis(X0)))))),f11(X1,intersection_of_members(top_of_basis(top_of_basis(top_of_basis(X0)))))))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(top_of_basis(X0)))),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f648,f162]) ).

fof(f652,plain,
    ! [X0,X1,X2] :
      ( ~ sQ4_spl
      | element_of_set(f11(X2,intersection_of_members(X0)),f10(X0,f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))),f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X2))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f648,f291]) ).

fof(f653,plain,
    ! [X0,X1,X2] :
      ( ~ sQ4_spl
      | ~ element_of_set(X2,f10(X0,f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))),f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))))
      | element_of_set(X2,union_of_members(X0))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f648,f116]) ).

fof(f654,plain,
    ! [X0,X1,X2] :
      ( ~ sQ4_spl
      | element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))),f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))),top_of_basis(X2))
      | element_of_set(f11(X2,f10(X0,f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))),f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0)))))),union_of_members(X0))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f653,f165]) ).

fof(f655,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ4_spl
      | element_of_collection(f10(X0,f10(top_of_basis(X0),f1(top_of_basis(top_of_basis(X0)),f11(X1,intersection_of_members(top_of_basis(top_of_basis(top_of_basis(X0)))))),f11(X2,intersection_of_members(top_of_basis(top_of_basis(X0))))),X3),X0)
      | ~ element_of_set(X3,f10(top_of_basis(X0),f1(top_of_basis(top_of_basis(X0)),f11(X1,intersection_of_members(top_of_basis(top_of_basis(top_of_basis(X0)))))),f11(X2,intersection_of_members(top_of_basis(top_of_basis(X0))))))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X2))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(top_of_basis(X0)))),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f649,f163]) ).

fof(f656,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ4_spl
      | element_of_set(X3,f10(X0,f10(top_of_basis(X0),f1(top_of_basis(top_of_basis(X0)),f11(X1,intersection_of_members(top_of_basis(top_of_basis(top_of_basis(X0)))))),f11(X2,intersection_of_members(top_of_basis(top_of_basis(X0))))),X3))
      | ~ element_of_set(X3,f10(top_of_basis(X0),f1(top_of_basis(top_of_basis(X0)),f11(X1,intersection_of_members(top_of_basis(top_of_basis(top_of_basis(X0)))))),f11(X2,intersection_of_members(top_of_basis(top_of_basis(X0))))))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X2))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(top_of_basis(X0)))),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f649,f162]) ).

fof(f657,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ4_spl
      | element_of_set(f11(X3,intersection_of_members(X0)),f10(X0,f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))),f11(X2,intersection_of_members(top_of_basis(X0)))))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X3))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X2))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f649,f291]) ).

fof(f658,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ4_spl
      | ~ element_of_set(X3,f10(X0,f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))),f11(X2,intersection_of_members(top_of_basis(X0)))))
      | element_of_set(X3,union_of_members(X0))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X2))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f649,f116]) ).

fof(f659,plain,
    ! [X0,X1] :
      ( ~ sQ4_spl
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1))
      | element_of_set(f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0)))),f10(X0,f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))),f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f601,f599]) ).

fof(f660,plain,
    ! [X0,X1,X2] :
      ( ~ sQ4_spl
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X2))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1))
      | element_of_set(f11(X2,intersection_of_members(top_of_basis(X0))),f10(X0,f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))),f11(X2,intersection_of_members(top_of_basis(X0)))))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f601,f602]) ).

fof(f661,plain,
    ! [X0,X1,X2] :
      ( ~ sQ4_spl
      | element_of_collection(f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))),top_of_basis(X2))
      | element_of_set(f11(X2,f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0)))))),f10(X0,f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))),f11(X2,f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))))))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f601,f165]) ).

fof(f662,plain,
    ! [X0,X1] :
      ( ~ sQ4_spl
      | element_of_set(f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0)))),f10(X0,f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))),f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f659]) ).

fof(f663,plain,
    ! [X0,X1,X2] :
      ( ~ sQ4_spl
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X2))
      | element_of_set(f11(X2,intersection_of_members(top_of_basis(X0))),f10(X0,f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))),f11(X2,intersection_of_members(top_of_basis(X0)))))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f660]) ).

fof(f664,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ4_spl
      | element_of_collection(f1(X0,f11(X2,f1(X0,f11(X1,intersection_of_members(top_of_basis(X0)))))),top_of_basis(X3))
      | element_of_set(f11(X3,f1(X0,f11(X2,f1(X0,f11(X1,intersection_of_members(top_of_basis(X0))))))),union_of_members(X0))
      | element_of_collection(f1(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)],[f634,f165]) ).

fof(f665,plain,
    ! [X0,X1] :
      ( ~ sQ4_spl
      | element_of_set(f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0)))),union_of_members(X0))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f662,f653]) ).

fof(f666,plain,
    ! [X0,X1] :
      ( ~ sQ4_spl
      | element_of_set(f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0)))),union_of_members(X0))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f665]) ).

fof(f667,plain,
    ! [X0,X1] :
      ( ~ sQ4_spl
      | element_of_collection(f1(X0,f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))),X0)
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f666,f114]) ).

fof(f668,plain,
    ! [X0,X1] :
      ( ~ sQ4_spl
      | element_of_set(f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0)))),f1(X0,f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f666,f113]) ).

fof(f669,plain,
    ! [X0,X1,X2] :
      ( ~ sQ4_spl
      | element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(top_of_basis(top_of_basis(X0)))))),X2),X0)
      | ~ element_of_set(X2,f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(top_of_basis(top_of_basis(X0)))))))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(top_of_basis(X0)))),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f667,f163]) ).

fof(f670,plain,
    ! [X0,X1,X2] :
      ( ~ sQ4_spl
      | element_of_set(X2,f10(X0,f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(top_of_basis(top_of_basis(X0)))))),X2))
      | ~ element_of_set(X2,f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(top_of_basis(top_of_basis(X0)))))))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(top_of_basis(X0)))),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f667,f162]) ).

fof(f671,plain,
    ! [X0,X1,X2] :
      ( ~ sQ4_spl
      | element_of_set(f11(X2,intersection_of_members(X0)),f1(X0,f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X2))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f667,f291]) ).

fof(f672,plain,
    ! [X0,X1,X2] :
      ( ~ sQ4_spl
      | ~ element_of_set(X2,f1(X0,f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))))
      | element_of_set(X2,union_of_members(X0))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f667,f116]) ).

fof(f673,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f10(X0,f10(top_of_basis(X0),f1(top_of_basis(top_of_basis(X0)),f11(X2,f2(top_of_basis(top_of_basis(X0)),X1))),f11(X3,intersection_of_members(top_of_basis(top_of_basis(X0))))),X4),X0)
      | ~ element_of_set(X4,f10(top_of_basis(X0),f1(top_of_basis(top_of_basis(X0)),f11(X2,f2(top_of_basis(top_of_basis(X0)),X1))),f11(X3,intersection_of_members(top_of_basis(top_of_basis(X0))))))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X3))
      | element_of_set(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))
      | element_of_collection(f2(top_of_basis(top_of_basis(X0)),X1),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f613,f163]) ).

fof(f674,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(X4,f10(X0,f10(top_of_basis(X0),f1(top_of_basis(top_of_basis(X0)),f11(X2,f2(top_of_basis(top_of_basis(X0)),X1))),f11(X3,intersection_of_members(top_of_basis(top_of_basis(X0))))),X4))
      | ~ element_of_set(X4,f10(top_of_basis(X0),f1(top_of_basis(top_of_basis(X0)),f11(X2,f2(top_of_basis(top_of_basis(X0)),X1))),f11(X3,intersection_of_members(top_of_basis(top_of_basis(X0))))))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X3))
      | element_of_set(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))
      | element_of_collection(f2(top_of_basis(top_of_basis(X0)),X1),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f613,f162]) ).

fof(f675,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(f11(X4,intersection_of_members(X0)),f10(X0,f1(top_of_basis(X0),f11(X2,f2(top_of_basis(X0),X1))),f11(X3,intersection_of_members(top_of_basis(X0)))))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X4))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X3))
      | element_of_set(X1,intersection_of_members(top_of_basis(X0)))
      | element_of_collection(f2(top_of_basis(X0),X1),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f613,f291]) ).

fof(f676,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ element_of_set(X4,f10(X0,f1(top_of_basis(X0),f11(X2,f2(top_of_basis(X0),X1))),f11(X3,intersection_of_members(top_of_basis(X0)))))
      | element_of_set(X4,union_of_members(X0))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X3))
      | element_of_set(X1,intersection_of_members(top_of_basis(X0)))
      | element_of_collection(f2(top_of_basis(X0),X1),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f613,f116]) ).

fof(f677,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f10(X0,f10(top_of_basis(X0),f1(top_of_basis(top_of_basis(X0)),f11(X2,f2(top_of_basis(top_of_basis(X0)),X1))),f11(X3,f1(top_of_basis(top_of_basis(X0)),f11(X2,f2(top_of_basis(top_of_basis(X0)),X1))))),X4),X0)
      | ~ element_of_set(X4,f10(top_of_basis(X0),f1(top_of_basis(top_of_basis(X0)),f11(X2,f2(top_of_basis(top_of_basis(X0)),X1))),f11(X3,f1(top_of_basis(top_of_basis(X0)),f11(X2,f2(top_of_basis(top_of_basis(X0)),X1))))))
      | element_of_collection(f1(top_of_basis(top_of_basis(X0)),f11(X2,f2(top_of_basis(top_of_basis(X0)),X1))),top_of_basis(X3))
      | element_of_set(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))
      | element_of_collection(f2(top_of_basis(top_of_basis(X0)),X1),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f612,f163]) ).

fof(f678,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(X4,f10(X0,f10(top_of_basis(X0),f1(top_of_basis(top_of_basis(X0)),f11(X2,f2(top_of_basis(top_of_basis(X0)),X1))),f11(X3,f1(top_of_basis(top_of_basis(X0)),f11(X2,f2(top_of_basis(top_of_basis(X0)),X1))))),X4))
      | ~ element_of_set(X4,f10(top_of_basis(X0),f1(top_of_basis(top_of_basis(X0)),f11(X2,f2(top_of_basis(top_of_basis(X0)),X1))),f11(X3,f1(top_of_basis(top_of_basis(X0)),f11(X2,f2(top_of_basis(top_of_basis(X0)),X1))))))
      | element_of_collection(f1(top_of_basis(top_of_basis(X0)),f11(X2,f2(top_of_basis(top_of_basis(X0)),X1))),top_of_basis(X3))
      | element_of_set(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))
      | element_of_collection(f2(top_of_basis(top_of_basis(X0)),X1),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f612,f162]) ).

fof(f679,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(f11(X4,intersection_of_members(X0)),f10(X0,f1(top_of_basis(X0),f11(X2,f2(top_of_basis(X0),X1))),f11(X3,f1(top_of_basis(X0),f11(X2,f2(top_of_basis(X0),X1))))))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X4))
      | element_of_collection(f1(top_of_basis(X0),f11(X2,f2(top_of_basis(X0),X1))),top_of_basis(X3))
      | element_of_set(X1,intersection_of_members(top_of_basis(X0)))
      | element_of_collection(f2(top_of_basis(X0),X1),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f612,f291]) ).

fof(f680,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ element_of_set(X4,f10(X0,f1(top_of_basis(X0),f11(X2,f2(top_of_basis(X0),X1))),f11(X3,f1(top_of_basis(X0),f11(X2,f2(top_of_basis(X0),X1))))))
      | element_of_set(X4,union_of_members(X0))
      | element_of_collection(f1(top_of_basis(X0),f11(X2,f2(top_of_basis(X0),X1))),top_of_basis(X3))
      | element_of_set(X1,intersection_of_members(top_of_basis(X0)))
      | element_of_collection(f2(top_of_basis(X0),X1),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f612,f116]) ).

fof(f681,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(top_of_basis(X1)))
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X0))
      | element_of_set(X2,intersection_of_members(top_of_basis(X1)))
      | element_of_set(f11(X0,intersection_of_members(top_of_basis(X1))),f10(X1,f2(top_of_basis(X1),X2),f11(X0,intersection_of_members(top_of_basis(X1))))) ),
    inference(resolution,[status(thm)],[f559,f354]) ).

fof(f682,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f2(top_of_basis(X1),X2),top_of_basis(X0))
      | element_of_set(X2,intersection_of_members(top_of_basis(X1)))
      | element_of_set(f11(X0,f2(top_of_basis(X1),X2)),f10(X1,f2(top_of_basis(X1),X2),f11(X0,f2(top_of_basis(X1),X2)))) ),
    inference(resolution,[status(thm)],[f559,f165]) ).

fof(f683,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X0))
      | element_of_set(X2,intersection_of_members(top_of_basis(X1)))
      | element_of_set(f11(X0,intersection_of_members(top_of_basis(X1))),f10(X1,f2(top_of_basis(X1),X2),f11(X0,intersection_of_members(top_of_basis(X1))))) ),
    inference(duplicate_literals_removal,[status(thm)],[f681]) ).

fof(f684,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X1,intersection_of_members(top_of_basis(X0)))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X2))
      | element_of_set(X1,intersection_of_members(top_of_basis(X0)))
      | element_of_collection(f10(X0,f2(top_of_basis(X0),X1),f11(X2,intersection_of_members(top_of_basis(X0)))),X0) ),
    inference(resolution,[status(thm)],[f580,f354]) ).

fof(f685,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f2(top_of_basis(X0),X1),top_of_basis(X2))
      | element_of_set(X1,intersection_of_members(top_of_basis(X0)))
      | element_of_collection(f10(X0,f2(top_of_basis(X0),X1),f11(X2,f2(top_of_basis(X0),X1))),X0) ),
    inference(resolution,[status(thm)],[f580,f165]) ).

fof(f686,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X2))
      | element_of_set(X1,intersection_of_members(top_of_basis(X0)))
      | element_of_collection(f10(X0,f2(top_of_basis(X0),X1),f11(X2,intersection_of_members(top_of_basis(X0)))),X0) ),
    inference(duplicate_literals_removal,[status(thm)],[f684]) ).

fof(f687,plain,
    ! [X0,X1,X2] :
      ( ~ sQ4_spl
      | element_of_collection(f1(X0,f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))),top_of_basis(X2))
      | element_of_set(f11(X2,f1(X0,f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0)))))),union_of_members(X0))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f672,f165]) ).

fof(f690,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f10(X1,f10(top_of_basis(X1),f2(top_of_basis(top_of_basis(X1)),X0),f11(X2,intersection_of_members(top_of_basis(top_of_basis(X1))))),X3),X1)
      | ~ element_of_set(X3,f10(top_of_basis(X1),f2(top_of_basis(top_of_basis(X1)),X0),f11(X2,intersection_of_members(top_of_basis(top_of_basis(X1))))))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X1))),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(top_of_basis(top_of_basis(X1)))) ),
    inference(resolution,[status(thm)],[f686,f163]) ).

fof(f691,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,f10(X1,f10(top_of_basis(X1),f2(top_of_basis(top_of_basis(X1)),X0),f11(X2,intersection_of_members(top_of_basis(top_of_basis(X1))))),X3))
      | ~ element_of_set(X3,f10(top_of_basis(X1),f2(top_of_basis(top_of_basis(X1)),X0),f11(X2,intersection_of_members(top_of_basis(top_of_basis(X1))))))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X1))),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(top_of_basis(top_of_basis(X1)))) ),
    inference(resolution,[status(thm)],[f686,f162]) ).

fof(f692,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(f11(X3,intersection_of_members(X1)),f10(X1,f2(top_of_basis(X1),X0),f11(X2,intersection_of_members(top_of_basis(X1)))))
      | element_of_collection(intersection_of_members(X1),top_of_basis(X3))
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f686,f291]) ).

fof(f693,plain,
    ! [X0,X1,X2,X3] :
      ( ~ element_of_set(X3,f10(X1,f2(top_of_basis(X1),X0),f11(X2,intersection_of_members(top_of_basis(X1)))))
      | element_of_set(X3,union_of_members(X1))
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f686,f116]) ).

fof(f694,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f10(X1,f10(top_of_basis(X1),f2(top_of_basis(top_of_basis(X1)),X0),f11(X2,f2(top_of_basis(top_of_basis(X1)),X0))),X3),X1)
      | ~ element_of_set(X3,f10(top_of_basis(X1),f2(top_of_basis(top_of_basis(X1)),X0),f11(X2,f2(top_of_basis(top_of_basis(X1)),X0))))
      | element_of_collection(f2(top_of_basis(top_of_basis(X1)),X0),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(top_of_basis(top_of_basis(X1)))) ),
    inference(resolution,[status(thm)],[f685,f163]) ).

fof(f695,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,f10(X1,f10(top_of_basis(X1),f2(top_of_basis(top_of_basis(X1)),X0),f11(X2,f2(top_of_basis(top_of_basis(X1)),X0))),X3))
      | ~ element_of_set(X3,f10(top_of_basis(X1),f2(top_of_basis(top_of_basis(X1)),X0),f11(X2,f2(top_of_basis(top_of_basis(X1)),X0))))
      | element_of_collection(f2(top_of_basis(top_of_basis(X1)),X0),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(top_of_basis(top_of_basis(X1)))) ),
    inference(resolution,[status(thm)],[f685,f162]) ).

fof(f696,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(f11(X3,intersection_of_members(X1)),f10(X1,f2(top_of_basis(X1),X0),f11(X2,f2(top_of_basis(X1),X0))))
      | element_of_collection(intersection_of_members(X1),top_of_basis(X3))
      | element_of_collection(f2(top_of_basis(X1),X0),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f685,f291]) ).

fof(f697,plain,
    ! [X0,X1,X2,X3] :
      ( ~ element_of_set(X3,f10(X1,f2(top_of_basis(X1),X0),f11(X2,f2(top_of_basis(X1),X0))))
      | element_of_set(X3,union_of_members(X1))
      | element_of_collection(f2(top_of_basis(X1),X0),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f685,f116]) ).

fof(f700,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f10(X1,f2(top_of_basis(X1),X0),f11(X2,intersection_of_members(top_of_basis(X1)))),top_of_basis(X3))
      | element_of_set(f11(X3,f10(X1,f2(top_of_basis(X1),X0),f11(X2,intersection_of_members(top_of_basis(X1))))),union_of_members(X1))
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f693,f165]) ).

fof(f701,plain,
    ! [X0,X1,X2] :
      ( element_of_set(f11(X2,intersection_of_members(top_of_basis(X1))),union_of_members(X1))
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(top_of_basis(X1)))
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f683,f693]) ).

fof(f702,plain,
    ! [X0,X1,X2] :
      ( element_of_set(f11(X2,intersection_of_members(top_of_basis(X1))),union_of_members(X1))
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(top_of_basis(X1))) ),
    inference(duplicate_literals_removal,[status(thm)],[f701]) ).

fof(f703,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(union_of_members(top_of_basis(X1)),top_of_basis(X2))
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X0))
      | element_of_collection(union_of_members(top_of_basis(X1)),top_of_basis(X2))
      | element_of_set(f11(X0,intersection_of_members(top_of_basis(X1))),f10(X1,f1(top_of_basis(X1),f11(X2,union_of_members(top_of_basis(X1)))),f11(X0,intersection_of_members(top_of_basis(X1))))) ),
    inference(resolution,[status(thm)],[f540,f345]) ).

fof(f704,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(top_of_basis(X1)),top_of_basis(X0))
      | element_of_collection(union_of_members(top_of_basis(X1)),top_of_basis(X0))
      | element_of_set(f11(X0,union_of_members(top_of_basis(X1))),f10(X1,f1(top_of_basis(X1),f11(X0,union_of_members(top_of_basis(X1)))),f11(X0,union_of_members(top_of_basis(X1))))) ),
    inference(resolution,[status(thm)],[f540,f293]) ).

fof(f705,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f1(top_of_basis(X1),f11(X2,union_of_members(top_of_basis(X1)))),top_of_basis(X0))
      | element_of_collection(union_of_members(top_of_basis(X1)),top_of_basis(X2))
      | element_of_set(f11(X0,f1(top_of_basis(X1),f11(X2,union_of_members(top_of_basis(X1))))),f10(X1,f1(top_of_basis(X1),f11(X2,union_of_members(top_of_basis(X1)))),f11(X0,f1(top_of_basis(X1),f11(X2,union_of_members(top_of_basis(X1))))))) ),
    inference(resolution,[status(thm)],[f540,f165]) ).

fof(f706,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X0))
      | element_of_collection(union_of_members(top_of_basis(X1)),top_of_basis(X2))
      | element_of_set(f11(X0,intersection_of_members(top_of_basis(X1))),f10(X1,f1(top_of_basis(X1),f11(X2,union_of_members(top_of_basis(X1)))),f11(X0,intersection_of_members(top_of_basis(X1))))) ),
    inference(duplicate_literals_removal,[status(thm)],[f703]) ).

fof(f707,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(top_of_basis(X1)),top_of_basis(X0))
      | element_of_set(f11(X0,union_of_members(top_of_basis(X1))),f10(X1,f1(top_of_basis(X1),f11(X0,union_of_members(top_of_basis(X1)))),f11(X0,union_of_members(top_of_basis(X1))))) ),
    inference(duplicate_literals_removal,[status(thm)],[f704]) ).

fof(f708,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X1))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X2))
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X1))
      | element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))),f11(X2,intersection_of_members(top_of_basis(X0)))),X0) ),
    inference(resolution,[status(thm)],[f561,f345]) ).

fof(f709,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X1))
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X1))
      | element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))),f11(X1,union_of_members(top_of_basis(X0)))),X0) ),
    inference(resolution,[status(thm)],[f561,f293]) ).

fof(f710,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))),top_of_basis(X2))
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X1))
      | element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))),f11(X2,f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))))),X0) ),
    inference(resolution,[status(thm)],[f561,f165]) ).

fof(f711,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X2))
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X1))
      | element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))),f11(X2,intersection_of_members(top_of_basis(X0)))),X0) ),
    inference(duplicate_literals_removal,[status(thm)],[f708]) ).

fof(f712,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X1))
      | element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))),f11(X1,union_of_members(top_of_basis(X0)))),X0) ),
    inference(duplicate_literals_removal,[status(thm)],[f709]) ).

fof(f713,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f10(X0,f10(top_of_basis(X0),f1(top_of_basis(top_of_basis(X0)),f11(X1,union_of_members(top_of_basis(top_of_basis(X0))))),f11(X1,union_of_members(top_of_basis(top_of_basis(X0))))),X2),X0)
      | ~ element_of_set(X2,f10(top_of_basis(X0),f1(top_of_basis(top_of_basis(X0)),f11(X1,union_of_members(top_of_basis(top_of_basis(X0))))),f11(X1,union_of_members(top_of_basis(top_of_basis(X0))))))
      | element_of_collection(union_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f712,f163]) ).

fof(f714,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,f10(X0,f10(top_of_basis(X0),f1(top_of_basis(top_of_basis(X0)),f11(X1,union_of_members(top_of_basis(top_of_basis(X0))))),f11(X1,union_of_members(top_of_basis(top_of_basis(X0))))),X2))
      | ~ element_of_set(X2,f10(top_of_basis(X0),f1(top_of_basis(top_of_basis(X0)),f11(X1,union_of_members(top_of_basis(top_of_basis(X0))))),f11(X1,union_of_members(top_of_basis(top_of_basis(X0))))))
      | element_of_collection(union_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f712,f162]) ).

fof(f715,plain,
    ! [X0,X1,X2] :
      ( element_of_set(f11(X2,intersection_of_members(X0)),f10(X0,f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))),f11(X1,union_of_members(top_of_basis(X0)))))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X2))
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f712,f291]) ).

fof(f716,plain,
    ! [X0,X1,X2] :
      ( ~ element_of_set(X2,f10(X0,f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))),f11(X1,union_of_members(top_of_basis(X0)))))
      | element_of_set(X2,union_of_members(X0))
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f712,f116]) ).

fof(f717,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X1))
      | element_of_set(f11(X1,union_of_members(top_of_basis(X0))),union_of_members(X0))
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f716,f707]) ).

fof(f718,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))),f11(X1,union_of_members(top_of_basis(X0)))),top_of_basis(X2))
      | element_of_set(f11(X2,f10(X0,f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))),f11(X1,union_of_members(top_of_basis(X0))))),union_of_members(X0))
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f716,f165]) ).

fof(f719,plain,
    ! [X0,X1] :
      ( element_of_set(f11(X1,union_of_members(top_of_basis(X0))),union_of_members(X0))
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f717]) ).

fof(f720,plain,
    ! [X0,X1] :
      ( element_of_collection(f1(X0,f11(X1,union_of_members(top_of_basis(X0)))),X0)
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f719,f114]) ).

fof(f721,plain,
    ! [X0,X1] :
      ( element_of_set(f11(X1,union_of_members(top_of_basis(X0))),f1(X0,f11(X1,union_of_members(top_of_basis(X0)))))
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f719,f113]) ).

fof(f722,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(top_of_basis(X0))))),X2),X0)
      | ~ element_of_set(X2,f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(top_of_basis(X0))))))
      | element_of_collection(union_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f720,f163]) ).

fof(f723,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,f10(X0,f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(top_of_basis(X0))))),X2))
      | ~ element_of_set(X2,f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(top_of_basis(X0))))))
      | element_of_collection(union_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f720,f162]) ).

fof(f724,plain,
    ! [X0,X1,X2] :
      ( element_of_set(f11(X2,intersection_of_members(X0)),f1(X0,f11(X1,union_of_members(top_of_basis(X0)))))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X2))
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f720,f291]) ).

fof(f725,plain,
    ! [X0,X1,X2] :
      ( ~ element_of_set(X2,f1(X0,f11(X1,union_of_members(top_of_basis(X0)))))
      | element_of_set(X2,union_of_members(X0))
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f720,f116]) ).

fof(f726,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f1(X0,f11(X1,union_of_members(top_of_basis(X0)))),top_of_basis(X2))
      | element_of_set(f11(X2,f1(X0,f11(X1,union_of_members(top_of_basis(X0))))),union_of_members(X0))
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f725,f165]) ).

fof(f729,plain,
    ! [X0,X1,X2] :
      ( element_of_set(f11(X2,intersection_of_members(X0)),union_of_members(X0))
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X1))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X2))
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f724,f725]) ).

fof(f730,plain,
    ! [X0,X1,X2] :
      ( element_of_set(f11(X2,intersection_of_members(X0)),union_of_members(X0))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X2))
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f729]) ).

fof(f731,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(top_of_basis(X0)))))),X0)
      | element_of_collection(f1(X0,f11(X1,union_of_members(top_of_basis(X0)))),top_of_basis(X2))
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f726,f114]) ).

fof(f732,plain,
    ! [X0,X1,X2] :
      ( element_of_set(f11(X2,f1(X0,f11(X1,union_of_members(top_of_basis(X0))))),f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(top_of_basis(X0)))))))
      | element_of_collection(f1(X0,f11(X1,union_of_members(top_of_basis(X0)))),top_of_basis(X2))
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f726,f113]) ).

fof(f733,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f10(X1,f2(top_of_basis(X1),X0),f11(X2,f2(top_of_basis(X1),X0))),top_of_basis(X3))
      | element_of_set(f11(X3,f10(X1,f2(top_of_basis(X1),X0),f11(X2,f2(top_of_basis(X1),X0)))),union_of_members(X1))
      | element_of_collection(f2(top_of_basis(X1),X0),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f697,f165]) ).

fof(f734,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X2,f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(top_of_basis(X0))))))),X3),X0)
      | ~ element_of_set(X3,f1(top_of_basis(X0),f11(X2,f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(top_of_basis(X0))))))))
      | element_of_collection(f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(top_of_basis(X0))))),top_of_basis(X2))
      | element_of_collection(union_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f731,f163]) ).

fof(f735,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,f10(X0,f1(top_of_basis(X0),f11(X2,f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(top_of_basis(X0))))))),X3))
      | ~ element_of_set(X3,f1(top_of_basis(X0),f11(X2,f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(top_of_basis(X0))))))))
      | element_of_collection(f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(top_of_basis(X0))))),top_of_basis(X2))
      | element_of_collection(union_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f731,f162]) ).

fof(f736,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(top_of_basis(X0)))))))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X3))
      | element_of_collection(f1(X0,f11(X1,union_of_members(top_of_basis(X0)))),top_of_basis(X2))
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f731,f291]) ).

fof(f737,plain,
    ! [X0,X1,X2,X3] :
      ( ~ element_of_set(X3,f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(top_of_basis(X0)))))))
      | element_of_set(X3,union_of_members(X0))
      | element_of_collection(f1(X0,f11(X1,union_of_members(top_of_basis(X0)))),top_of_basis(X2))
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f731,f116]) ).

fof(f738,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f10(X0,f10(top_of_basis(X0),f1(top_of_basis(top_of_basis(X0)),f11(X1,union_of_members(top_of_basis(top_of_basis(X0))))),f11(X2,intersection_of_members(top_of_basis(top_of_basis(X0))))),X3),X0)
      | ~ element_of_set(X3,f10(top_of_basis(X0),f1(top_of_basis(top_of_basis(X0)),f11(X1,union_of_members(top_of_basis(top_of_basis(X0))))),f11(X2,intersection_of_members(top_of_basis(top_of_basis(X0))))))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X2))
      | element_of_collection(union_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f711,f163]) ).

fof(f739,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,f10(X0,f10(top_of_basis(X0),f1(top_of_basis(top_of_basis(X0)),f11(X1,union_of_members(top_of_basis(top_of_basis(X0))))),f11(X2,intersection_of_members(top_of_basis(top_of_basis(X0))))),X3))
      | ~ element_of_set(X3,f10(top_of_basis(X0),f1(top_of_basis(top_of_basis(X0)),f11(X1,union_of_members(top_of_basis(top_of_basis(X0))))),f11(X2,intersection_of_members(top_of_basis(top_of_basis(X0))))))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X2))
      | element_of_collection(union_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f711,f162]) ).

fof(f740,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(f11(X3,intersection_of_members(X0)),f10(X0,f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))),f11(X2,intersection_of_members(top_of_basis(X0)))))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X3))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X2))
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f711,f291]) ).

fof(f741,plain,
    ! [X0,X1,X2,X3] :
      ( ~ element_of_set(X3,f10(X0,f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))),f11(X2,intersection_of_members(top_of_basis(X0)))))
      | element_of_set(X3,union_of_members(X0))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X2))
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f711,f116]) ).

fof(f742,plain,
    ! [X0,X1,X2] :
      ( element_of_set(f11(X2,f2(top_of_basis(X1),X0)),union_of_members(X1))
      | element_of_collection(f2(top_of_basis(X1),X0),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(top_of_basis(X1)))
      | element_of_collection(f2(top_of_basis(X1),X0),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f682,f697]) ).

fof(f743,plain,
    ! [X0,X1,X2] :
      ( element_of_set(f11(X2,f2(top_of_basis(X1),X0)),union_of_members(X1))
      | element_of_collection(f2(top_of_basis(X1),X0),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(top_of_basis(X1))) ),
    inference(duplicate_literals_removal,[status(thm)],[f742]) ).

fof(f744,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f2(top_of_basis(top_of_basis(X1)),X0),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(top_of_basis(top_of_basis(X1))))
      | element_of_collection(f10(X1,f10(top_of_basis(X1),f2(top_of_basis(top_of_basis(X1)),X0),f11(X2,f2(top_of_basis(top_of_basis(X1)),X0))),f11(X2,f2(top_of_basis(top_of_basis(X1)),X0))),X1)
      | element_of_collection(f2(top_of_basis(top_of_basis(X1)),X0),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(top_of_basis(top_of_basis(X1)))) ),
    inference(resolution,[status(thm)],[f694,f682]) ).

fof(f745,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f10(top_of_basis(X1),f2(top_of_basis(top_of_basis(X1)),X0),f11(X2,f2(top_of_basis(top_of_basis(X1)),X0))),top_of_basis(X3))
      | element_of_collection(f10(X1,f10(top_of_basis(X1),f2(top_of_basis(top_of_basis(X1)),X0),f11(X2,f2(top_of_basis(top_of_basis(X1)),X0))),f11(X3,f10(top_of_basis(X1),f2(top_of_basis(top_of_basis(X1)),X0),f11(X2,f2(top_of_basis(top_of_basis(X1)),X0))))),X1)
      | element_of_collection(f2(top_of_basis(top_of_basis(X1)),X0),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(top_of_basis(top_of_basis(X1)))) ),
    inference(resolution,[status(thm)],[f694,f165]) ).

fof(f746,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f10(X1,f10(top_of_basis(X1),f2(top_of_basis(top_of_basis(X1)),X0),f11(X2,f2(top_of_basis(top_of_basis(X1)),X0))),f11(X2,f2(top_of_basis(top_of_basis(X1)),X0))),X1)
      | element_of_collection(f2(top_of_basis(top_of_basis(X1)),X0),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(top_of_basis(top_of_basis(X1)))) ),
    inference(duplicate_literals_removal,[status(thm)],[f744]) ).

fof(f747,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f2(top_of_basis(top_of_basis(X1)),X0),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(top_of_basis(top_of_basis(X1))))
      | element_of_set(f11(X2,f2(top_of_basis(top_of_basis(X1)),X0)),f10(X1,f10(top_of_basis(X1),f2(top_of_basis(top_of_basis(X1)),X0),f11(X2,f2(top_of_basis(top_of_basis(X1)),X0))),f11(X2,f2(top_of_basis(top_of_basis(X1)),X0))))
      | element_of_collection(f2(top_of_basis(top_of_basis(X1)),X0),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(top_of_basis(top_of_basis(X1)))) ),
    inference(resolution,[status(thm)],[f695,f682]) ).

fof(f748,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f10(top_of_basis(X1),f2(top_of_basis(top_of_basis(X1)),X0),f11(X2,f2(top_of_basis(top_of_basis(X1)),X0))),top_of_basis(X3))
      | element_of_set(f11(X3,f10(top_of_basis(X1),f2(top_of_basis(top_of_basis(X1)),X0),f11(X2,f2(top_of_basis(top_of_basis(X1)),X0)))),f10(X1,f10(top_of_basis(X1),f2(top_of_basis(top_of_basis(X1)),X0),f11(X2,f2(top_of_basis(top_of_basis(X1)),X0))),f11(X3,f10(top_of_basis(X1),f2(top_of_basis(top_of_basis(X1)),X0),f11(X2,f2(top_of_basis(top_of_basis(X1)),X0))))))
      | element_of_collection(f2(top_of_basis(top_of_basis(X1)),X0),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(top_of_basis(top_of_basis(X1)))) ),
    inference(resolution,[status(thm)],[f695,f165]) ).

fof(f749,plain,
    ! [X0,X1,X2] :
      ( element_of_set(f11(X2,f2(top_of_basis(top_of_basis(X1)),X0)),f10(X1,f10(top_of_basis(X1),f2(top_of_basis(top_of_basis(X1)),X0),f11(X2,f2(top_of_basis(top_of_basis(X1)),X0))),f11(X2,f2(top_of_basis(top_of_basis(X1)),X0))))
      | element_of_collection(f2(top_of_basis(top_of_basis(X1)),X0),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(top_of_basis(top_of_basis(X1)))) ),
    inference(duplicate_literals_removal,[status(thm)],[f747]) ).

fof(f750,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(f11(X3,intersection_of_members(top_of_basis(X1))),f10(X1,f10(top_of_basis(X1),f2(top_of_basis(top_of_basis(X1)),X0),f11(X2,f2(top_of_basis(top_of_basis(X1)),X0))),f11(X3,intersection_of_members(top_of_basis(X1)))))
      | element_of_collection(f2(top_of_basis(top_of_basis(X1)),X0),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(top_of_basis(top_of_basis(X1))))
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X3))
      | element_of_collection(f2(top_of_basis(top_of_basis(X1)),X0),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(top_of_basis(top_of_basis(X1)))) ),
    inference(resolution,[status(thm)],[f696,f695]) ).

fof(f751,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f10(X1,f10(top_of_basis(X1),f2(top_of_basis(top_of_basis(X1)),X0),f11(X2,f2(top_of_basis(top_of_basis(X1)),X0))),f11(X3,intersection_of_members(top_of_basis(X1)))),X1)
      | element_of_collection(f2(top_of_basis(top_of_basis(X1)),X0),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(top_of_basis(top_of_basis(X1))))
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X3))
      | element_of_collection(f2(top_of_basis(top_of_basis(X1)),X0),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(top_of_basis(top_of_basis(X1)))) ),
    inference(resolution,[status(thm)],[f696,f694]) ).

fof(f752,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(f11(X3,intersection_of_members(X1)),union_of_members(X1))
      | element_of_collection(f2(top_of_basis(X1),X0),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(top_of_basis(X1)))
      | element_of_collection(intersection_of_members(X1),top_of_basis(X3))
      | element_of_collection(f2(top_of_basis(X1),X0),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f696,f697]) ).

fof(f753,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(f11(X3,intersection_of_members(top_of_basis(X1))),f10(X1,f10(top_of_basis(X1),f2(top_of_basis(top_of_basis(X1)),X0),f11(X2,f2(top_of_basis(top_of_basis(X1)),X0))),f11(X3,intersection_of_members(top_of_basis(X1)))))
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X3))
      | element_of_collection(f2(top_of_basis(top_of_basis(X1)),X0),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(top_of_basis(top_of_basis(X1)))) ),
    inference(duplicate_literals_removal,[status(thm)],[f750]) ).

fof(f754,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f10(X1,f10(top_of_basis(X1),f2(top_of_basis(top_of_basis(X1)),X0),f11(X2,f2(top_of_basis(top_of_basis(X1)),X0))),f11(X3,intersection_of_members(top_of_basis(X1)))),X1)
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X3))
      | element_of_collection(f2(top_of_basis(top_of_basis(X1)),X0),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(top_of_basis(top_of_basis(X1)))) ),
    inference(duplicate_literals_removal,[status(thm)],[f751]) ).

fof(f755,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(f11(X3,intersection_of_members(X1)),union_of_members(X1))
      | element_of_collection(intersection_of_members(X1),top_of_basis(X3))
      | element_of_collection(f2(top_of_basis(X1),X0),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(top_of_basis(X1))) ),
    inference(duplicate_literals_removal,[status(thm)],[f752]) ).

fof(f756,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f10(X0,f10(top_of_basis(X0),f1(top_of_basis(top_of_basis(X0)),f11(X1,union_of_members(top_of_basis(top_of_basis(X0))))),f11(X2,f1(top_of_basis(top_of_basis(X0)),f11(X1,union_of_members(top_of_basis(top_of_basis(X0))))))),X3),X0)
      | ~ element_of_set(X3,f10(top_of_basis(X0),f1(top_of_basis(top_of_basis(X0)),f11(X1,union_of_members(top_of_basis(top_of_basis(X0))))),f11(X2,f1(top_of_basis(top_of_basis(X0)),f11(X1,union_of_members(top_of_basis(top_of_basis(X0))))))))
      | element_of_collection(f1(top_of_basis(top_of_basis(X0)),f11(X1,union_of_members(top_of_basis(top_of_basis(X0))))),top_of_basis(X2))
      | element_of_collection(union_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f710,f163]) ).

fof(f757,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,f10(X0,f10(top_of_basis(X0),f1(top_of_basis(top_of_basis(X0)),f11(X1,union_of_members(top_of_basis(top_of_basis(X0))))),f11(X2,f1(top_of_basis(top_of_basis(X0)),f11(X1,union_of_members(top_of_basis(top_of_basis(X0))))))),X3))
      | ~ element_of_set(X3,f10(top_of_basis(X0),f1(top_of_basis(top_of_basis(X0)),f11(X1,union_of_members(top_of_basis(top_of_basis(X0))))),f11(X2,f1(top_of_basis(top_of_basis(X0)),f11(X1,union_of_members(top_of_basis(top_of_basis(X0))))))))
      | element_of_collection(f1(top_of_basis(top_of_basis(X0)),f11(X1,union_of_members(top_of_basis(top_of_basis(X0))))),top_of_basis(X2))
      | element_of_collection(union_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f710,f162]) ).

fof(f758,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(f11(X3,intersection_of_members(X0)),f10(X0,f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))),f11(X2,f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))))))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X3))
      | element_of_collection(f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))),top_of_basis(X2))
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f710,f291]) ).

fof(f759,plain,
    ! [X0,X1,X2,X3] :
      ( ~ element_of_set(X3,f10(X0,f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))),f11(X2,f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))))))
      | element_of_set(X3,union_of_members(X0))
      | element_of_collection(f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))),top_of_basis(X2))
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f710,f116]) ).

fof(f760,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X1))),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(top_of_basis(top_of_basis(X1))))
      | element_of_collection(f10(X1,f10(top_of_basis(X1),f2(top_of_basis(top_of_basis(X1)),X0),f11(X2,intersection_of_members(top_of_basis(top_of_basis(X1))))),f11(X2,intersection_of_members(top_of_basis(top_of_basis(X1))))),X1)
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X1))),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(top_of_basis(top_of_basis(X1)))) ),
    inference(resolution,[status(thm)],[f690,f683]) ).

fof(f761,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f10(top_of_basis(X1),f2(top_of_basis(top_of_basis(X1)),X0),f11(X2,intersection_of_members(top_of_basis(top_of_basis(X1))))),top_of_basis(X3))
      | element_of_collection(f10(X1,f10(top_of_basis(X1),f2(top_of_basis(top_of_basis(X1)),X0),f11(X2,intersection_of_members(top_of_basis(top_of_basis(X1))))),f11(X3,f10(top_of_basis(X1),f2(top_of_basis(top_of_basis(X1)),X0),f11(X2,intersection_of_members(top_of_basis(top_of_basis(X1))))))),X1)
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X1))),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(top_of_basis(top_of_basis(X1)))) ),
    inference(resolution,[status(thm)],[f690,f165]) ).

fof(f762,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f10(X1,f10(top_of_basis(X1),f2(top_of_basis(top_of_basis(X1)),X0),f11(X2,intersection_of_members(top_of_basis(top_of_basis(X1))))),f11(X2,intersection_of_members(top_of_basis(top_of_basis(X1))))),X1)
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X1))),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(top_of_basis(top_of_basis(X1)))) ),
    inference(duplicate_literals_removal,[status(thm)],[f760]) ).

fof(f763,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X1))),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(top_of_basis(top_of_basis(X1))))
      | element_of_set(f11(X2,intersection_of_members(top_of_basis(top_of_basis(X1)))),f10(X1,f10(top_of_basis(X1),f2(top_of_basis(top_of_basis(X1)),X0),f11(X2,intersection_of_members(top_of_basis(top_of_basis(X1))))),f11(X2,intersection_of_members(top_of_basis(top_of_basis(X1))))))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X1))),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(top_of_basis(top_of_basis(X1)))) ),
    inference(resolution,[status(thm)],[f691,f683]) ).

fof(f764,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f10(top_of_basis(X1),f2(top_of_basis(top_of_basis(X1)),X0),f11(X2,intersection_of_members(top_of_basis(top_of_basis(X1))))),top_of_basis(X3))
      | element_of_set(f11(X3,f10(top_of_basis(X1),f2(top_of_basis(top_of_basis(X1)),X0),f11(X2,intersection_of_members(top_of_basis(top_of_basis(X1)))))),f10(X1,f10(top_of_basis(X1),f2(top_of_basis(top_of_basis(X1)),X0),f11(X2,intersection_of_members(top_of_basis(top_of_basis(X1))))),f11(X3,f10(top_of_basis(X1),f2(top_of_basis(top_of_basis(X1)),X0),f11(X2,intersection_of_members(top_of_basis(top_of_basis(X1))))))))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X1))),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(top_of_basis(top_of_basis(X1)))) ),
    inference(resolution,[status(thm)],[f691,f165]) ).

fof(f765,plain,
    ! [X0,X1,X2] :
      ( element_of_set(f11(X2,intersection_of_members(top_of_basis(top_of_basis(X1)))),f10(X1,f10(top_of_basis(X1),f2(top_of_basis(top_of_basis(X1)),X0),f11(X2,intersection_of_members(top_of_basis(top_of_basis(X1))))),f11(X2,intersection_of_members(top_of_basis(top_of_basis(X1))))))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X1))),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(top_of_basis(top_of_basis(X1)))) ),
    inference(duplicate_literals_removal,[status(thm)],[f763]) ).

fof(f766,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(f11(X3,intersection_of_members(top_of_basis(X1))),f10(X1,f10(top_of_basis(X1),f2(top_of_basis(top_of_basis(X1)),X0),f11(X2,intersection_of_members(top_of_basis(top_of_basis(X1))))),f11(X3,intersection_of_members(top_of_basis(X1)))))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X1))),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(top_of_basis(top_of_basis(X1))))
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X3))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X1))),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(top_of_basis(top_of_basis(X1)))) ),
    inference(resolution,[status(thm)],[f692,f691]) ).

fof(f767,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f10(X1,f10(top_of_basis(X1),f2(top_of_basis(top_of_basis(X1)),X0),f11(X2,intersection_of_members(top_of_basis(top_of_basis(X1))))),f11(X3,intersection_of_members(top_of_basis(X1)))),X1)
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X1))),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(top_of_basis(top_of_basis(X1))))
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X3))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X1))),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(top_of_basis(top_of_basis(X1)))) ),
    inference(resolution,[status(thm)],[f692,f690]) ).

fof(f768,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(f11(X3,intersection_of_members(X1)),union_of_members(X1))
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(top_of_basis(X1)))
      | element_of_collection(intersection_of_members(X1),top_of_basis(X3))
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f692,f693]) ).

fof(f769,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(f11(X3,intersection_of_members(top_of_basis(X1))),f10(X1,f10(top_of_basis(X1),f2(top_of_basis(top_of_basis(X1)),X0),f11(X2,intersection_of_members(top_of_basis(top_of_basis(X1))))),f11(X3,intersection_of_members(top_of_basis(X1)))))
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X3))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X1))),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(top_of_basis(top_of_basis(X1)))) ),
    inference(duplicate_literals_removal,[status(thm)],[f766]) ).

fof(f770,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f10(X1,f10(top_of_basis(X1),f2(top_of_basis(top_of_basis(X1)),X0),f11(X2,intersection_of_members(top_of_basis(top_of_basis(X1))))),f11(X3,intersection_of_members(top_of_basis(X1)))),X1)
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X3))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X1))),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(top_of_basis(top_of_basis(X1)))) ),
    inference(duplicate_literals_removal,[status(thm)],[f767]) ).

fof(f771,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(f11(X3,intersection_of_members(X1)),union_of_members(X1))
      | element_of_collection(intersection_of_members(X1),top_of_basis(X3))
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(top_of_basis(X1))) ),
    inference(duplicate_literals_removal,[status(thm)],[f768]) ).

fof(f772,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1))
      | element_of_collection(f10(X0,f10(top_of_basis(X0),f1(top_of_basis(top_of_basis(X0)),f11(X1,union_of_members(top_of_basis(top_of_basis(X0))))),f11(X1,union_of_members(top_of_basis(top_of_basis(X0))))),f11(X1,union_of_members(top_of_basis(top_of_basis(X0))))),X0)
      | element_of_collection(union_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f713,f707]) ).

fof(f773,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f10(top_of_basis(X0),f1(top_of_basis(top_of_basis(X0)),f11(X1,union_of_members(top_of_basis(top_of_basis(X0))))),f11(X1,union_of_members(top_of_basis(top_of_basis(X0))))),top_of_basis(X2))
      | element_of_collection(f10(X0,f10(top_of_basis(X0),f1(top_of_basis(top_of_basis(X0)),f11(X1,union_of_members(top_of_basis(top_of_basis(X0))))),f11(X1,union_of_members(top_of_basis(top_of_basis(X0))))),f11(X2,f10(top_of_basis(X0),f1(top_of_basis(top_of_basis(X0)),f11(X1,union_of_members(top_of_basis(top_of_basis(X0))))),f11(X1,union_of_members(top_of_basis(top_of_basis(X0))))))),X0)
      | element_of_collection(union_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f713,f165]) ).

fof(f774,plain,
    ! [X0,X1] :
      ( element_of_collection(f10(X0,f10(top_of_basis(X0),f1(top_of_basis(top_of_basis(X0)),f11(X1,union_of_members(top_of_basis(top_of_basis(X0))))),f11(X1,union_of_members(top_of_basis(top_of_basis(X0))))),f11(X1,union_of_members(top_of_basis(top_of_basis(X0))))),X0)
      | element_of_collection(union_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f772]) ).

fof(f775,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1))
      | element_of_set(f11(X1,union_of_members(top_of_basis(top_of_basis(X0)))),f10(X0,f10(top_of_basis(X0),f1(top_of_basis(top_of_basis(X0)),f11(X1,union_of_members(top_of_basis(top_of_basis(X0))))),f11(X1,union_of_members(top_of_basis(top_of_basis(X0))))),f11(X1,union_of_members(top_of_basis(top_of_basis(X0))))))
      | element_of_collection(union_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f714,f707]) ).

fof(f776,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f10(top_of_basis(X0),f1(top_of_basis(top_of_basis(X0)),f11(X1,union_of_members(top_of_basis(top_of_basis(X0))))),f11(X1,union_of_members(top_of_basis(top_of_basis(X0))))),top_of_basis(X2))
      | element_of_set(f11(X2,f10(top_of_basis(X0),f1(top_of_basis(top_of_basis(X0)),f11(X1,union_of_members(top_of_basis(top_of_basis(X0))))),f11(X1,union_of_members(top_of_basis(top_of_basis(X0)))))),f10(X0,f10(top_of_basis(X0),f1(top_of_basis(top_of_basis(X0)),f11(X1,union_of_members(top_of_basis(top_of_basis(X0))))),f11(X1,union_of_members(top_of_basis(top_of_basis(X0))))),f11(X2,f10(top_of_basis(X0),f1(top_of_basis(top_of_basis(X0)),f11(X1,union_of_members(top_of_basis(top_of_basis(X0))))),f11(X1,union_of_members(top_of_basis(top_of_basis(X0))))))))
      | element_of_collection(union_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f714,f165]) ).

fof(f777,plain,
    ! [X0,X1] :
      ( element_of_set(f11(X1,union_of_members(top_of_basis(top_of_basis(X0)))),f10(X0,f10(top_of_basis(X0),f1(top_of_basis(top_of_basis(X0)),f11(X1,union_of_members(top_of_basis(top_of_basis(X0))))),f11(X1,union_of_members(top_of_basis(top_of_basis(X0))))),f11(X1,union_of_members(top_of_basis(top_of_basis(X0))))))
      | element_of_collection(union_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f775]) ).

fof(f778,plain,
    ! [X0,X1,X2] :
      ( element_of_set(f11(X2,intersection_of_members(top_of_basis(X0))),f10(X0,f10(top_of_basis(X0),f1(top_of_basis(top_of_basis(X0)),f11(X1,union_of_members(top_of_basis(top_of_basis(X0))))),f11(X1,union_of_members(top_of_basis(top_of_basis(X0))))),f11(X2,intersection_of_members(top_of_basis(X0)))))
      | element_of_collection(union_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X2))
      | element_of_collection(union_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f715,f714]) ).

fof(f779,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f10(X0,f10(top_of_basis(X0),f1(top_of_basis(top_of_basis(X0)),f11(X1,union_of_members(top_of_basis(top_of_basis(X0))))),f11(X1,union_of_members(top_of_basis(top_of_basis(X0))))),f11(X2,intersection_of_members(top_of_basis(X0)))),X0)
      | element_of_collection(union_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X2))
      | element_of_collection(union_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f715,f713]) ).

fof(f781,plain,
    ! [X0,X1,X2] :
      ( element_of_set(f11(X2,intersection_of_members(top_of_basis(X0))),f10(X0,f10(top_of_basis(X0),f1(top_of_basis(top_of_basis(X0)),f11(X1,union_of_members(top_of_basis(top_of_basis(X0))))),f11(X1,union_of_members(top_of_basis(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(X2))
      | element_of_collection(union_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f778]) ).

fof(f782,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f10(X0,f10(top_of_basis(X0),f1(top_of_basis(top_of_basis(X0)),f11(X1,union_of_members(top_of_basis(top_of_basis(X0))))),f11(X1,union_of_members(top_of_basis(top_of_basis(X0))))),f11(X2,intersection_of_members(top_of_basis(X0)))),X0)
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X2))
      | element_of_collection(union_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f779]) ).

fof(f784,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f2(top_of_basis(subspace_topology(X0,X1,X3)),X2),top_of_basis(X4))
      | element_of_set(X2,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X3))))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f169,f685]) ).

fof(f785,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(intersection_of_members(top_of_basis(subspace_topology(X0,X1,X3))),top_of_basis(X4))
      | element_of_set(X2,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X3))))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f169,f686]) ).

fof(f786,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f1(top_of_basis(subspace_topology(X0,X1,X2)),f11(X3,union_of_members(top_of_basis(subspace_topology(X0,X1,X2))))),top_of_basis(X4))
      | element_of_collection(union_of_members(top_of_basis(subspace_topology(X0,X1,X2))),top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f169,f710]) ).

fof(f789,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(f1(top_of_basis(subspace_topology(X0,X1,X2)),f11(X4,f2(top_of_basis(subspace_topology(X0,X1,X2)),X3))),top_of_basis(X5))
      | element_of_set(X3,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2))))
      | element_of_collection(f2(top_of_basis(subspace_topology(X0,X1,X2)),X3),top_of_basis(X4))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f169,f612]) ).

fof(f790,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2))),top_of_basis(X5))
      | element_of_set(X3,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2))))
      | element_of_collection(f2(top_of_basis(subspace_topology(X0,X1,X2)),X3),top_of_basis(X4))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f169,f613]) ).

fof(f791,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(X3,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2))))
      | element_of_collection(f2(top_of_basis(subspace_topology(X0,X1,X2)),X3),top_of_basis(X4))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f169,f614]) ).

fof(f792,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ4_spl
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(subspace_topology(X0,X1,X2)))),top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f169,f648]) ).

fof(f793,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ4_spl
      | element_of_collection(intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2))),top_of_basis(X4))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(subspace_topology(X0,X1,X2)))),top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f169,f649]) ).

fof(f794,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ4_spl
      | element_of_collection(intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2))),top_of_basis(X4))
      | element_of_collection(intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2))),top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f169,f589]) ).

fof(f795,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ4_spl
      | element_of_collection(intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2))),top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f169,f590]) ).

fof(f798,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ4_spl
      | element_of_collection(intersection_of_members(subspace_topology(X0,X1,X2)),top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f169,f418]) ).

fof(f799,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(union_of_members(top_of_basis(subspace_topology(X0,X1,X2))),top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f169,f720]) ).

fof(f800,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(union_of_members(subspace_topology(X0,X1,X2)),top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f169,f292]) ).

fof(f801,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ4_spl
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X3,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2))))),top_of_basis(X4))
      | element_of_collection(intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2))),top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f169,f629]) ).

fof(f802,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ4_spl
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X3,intersection_of_members(subspace_topology(X0,X1,X2)))),top_of_basis(X4))
      | element_of_collection(intersection_of_members(subspace_topology(X0,X1,X2)),top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f169,f453]) ).

fof(f803,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X3,union_of_members(top_of_basis(subspace_topology(X0,X1,X2))))),top_of_basis(X4))
      | element_of_collection(union_of_members(top_of_basis(subspace_topology(X0,X1,X2))),top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f169,f731]) ).

fof(f804,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X3,union_of_members(subspace_topology(X0,X1,X2)))),top_of_basis(X4))
      | element_of_collection(union_of_members(subspace_topology(X0,X1,X2)),top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f169,f393]) ).

fof(f805,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ4_spl
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X3,intersection_of_members(subspace_topology(X0,X1,X2)))))),top_of_basis(X5))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X3,intersection_of_members(subspace_topology(X0,X1,X2)))),top_of_basis(X4))
      | element_of_collection(intersection_of_members(subspace_topology(X0,X1,X2)),top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f169,f480]) ).

fof(f806,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X3,union_of_members(subspace_topology(X0,X1,X2)))))),top_of_basis(X5))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X3,union_of_members(subspace_topology(X0,X1,X2)))),top_of_basis(X4))
      | element_of_collection(union_of_members(subspace_topology(X0,X1,X2)),top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f169,f462]) ).

fof(f807,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ4_spl
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X3,intersection_of_members(subspace_topology(X0,X1,X2)))))))),top_of_basis(X6))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X3,intersection_of_members(subspace_topology(X0,X1,X2)))))),top_of_basis(X5))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X3,intersection_of_members(subspace_topology(X0,X1,X2)))),top_of_basis(X4))
      | element_of_collection(intersection_of_members(subspace_topology(X0,X1,X2)),top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f169,f491]) ).

fof(f808,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X3,union_of_members(subspace_topology(X0,X1,X2)))))))),top_of_basis(X6))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X3,union_of_members(subspace_topology(X0,X1,X2)))))),top_of_basis(X5))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X3,union_of_members(subspace_topology(X0,X1,X2)))),top_of_basis(X4))
      | element_of_collection(union_of_members(subspace_topology(X0,X1,X2)),top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f169,f473]) ).

fof(f809,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ4_spl
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X3,intersection_of_members(subspace_topology(X0,X1,X2)))))))))),top_of_basis(X7))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X3,intersection_of_members(subspace_topology(X0,X1,X2)))))))),top_of_basis(X6))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X3,intersection_of_members(subspace_topology(X0,X1,X2)))))),top_of_basis(X5))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X3,intersection_of_members(subspace_topology(X0,X1,X2)))),top_of_basis(X4))
      | element_of_collection(intersection_of_members(subspace_topology(X0,X1,X2)),top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f169,f511]) ).

fof(f810,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X3,union_of_members(subspace_topology(X0,X1,X2)))))))))),top_of_basis(X7))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X3,union_of_members(subspace_topology(X0,X1,X2)))))))),top_of_basis(X6))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X3,union_of_members(subspace_topology(X0,X1,X2)))))),top_of_basis(X5))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X3,union_of_members(subspace_topology(X0,X1,X2)))),top_of_basis(X4))
      | element_of_collection(union_of_members(subspace_topology(X0,X1,X2)),top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f169,f509]) ).

fof(f811,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X7,f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X3,union_of_members(subspace_topology(X0,X1,X2)))))))))))),top_of_basis(X8))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X3,union_of_members(subspace_topology(X0,X1,X2)))))))))),top_of_basis(X7))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X3,union_of_members(subspace_topology(X0,X1,X2)))))))),top_of_basis(X6))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X3,union_of_members(subspace_topology(X0,X1,X2)))))),top_of_basis(X5))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X3,union_of_members(subspace_topology(X0,X1,X2)))),top_of_basis(X4))
      | element_of_collection(union_of_members(subspace_topology(X0,X1,X2)),top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f169,f522]) ).

fof(f812,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X8,f1(subspace_topology(X0,X1,X2),f11(X7,f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X3,union_of_members(subspace_topology(X0,X1,X2)))))))))))))),top_of_basis(X9))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X7,f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X3,union_of_members(subspace_topology(X0,X1,X2)))))))))))),top_of_basis(X8))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X3,union_of_members(subspace_topology(X0,X1,X2)))))))))),top_of_basis(X7))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X3,union_of_members(subspace_topology(X0,X1,X2)))))))),top_of_basis(X6))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X3,union_of_members(subspace_topology(X0,X1,X2)))))),top_of_basis(X5))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X3,union_of_members(subspace_topology(X0,X1,X2)))),top_of_basis(X4))
      | element_of_collection(union_of_members(subspace_topology(X0,X1,X2)),top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f169,f533]) ).

fof(f813,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X10,f1(subspace_topology(X0,X1,X2),f11(X9,f1(subspace_topology(X0,X1,X2),f11(X8,f1(subspace_topology(X0,X1,X2),f11(X7,f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X4,f2(subspace_topology(X0,X1,X2),X3))))))))))))))),top_of_basis(X11))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X9,f1(subspace_topology(X0,X1,X2),f11(X8,f1(subspace_topology(X0,X1,X2),f11(X7,f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X4,f2(subspace_topology(X0,X1,X2),X3))))))))))))),top_of_basis(X10))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X8,f1(subspace_topology(X0,X1,X2),f11(X7,f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X4,f2(subspace_topology(X0,X1,X2),X3))))))))))),top_of_basis(X9))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X7,f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X4,f2(subspace_topology(X0,X1,X2),X3))))))))),top_of_basis(X8))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X4,f2(subspace_topology(X0,X1,X2),X3))))))),top_of_basis(X7))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X4,f2(subspace_topology(X0,X1,X2),X3))))),top_of_basis(X6))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X4,f2(subspace_topology(X0,X1,X2),X3))),top_of_basis(X5))
      | element_of_set(X3,intersection_of_members(subspace_topology(X0,X1,X2)))
      | element_of_collection(f2(subspace_topology(X0,X1,X2),X3),top_of_basis(X4))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f169,f336]) ).

fof(f814,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X9,f1(subspace_topology(X0,X1,X2),f11(X8,f1(subspace_topology(X0,X1,X2),f11(X7,f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X4,f2(subspace_topology(X0,X1,X2),X3))))))))))))),top_of_basis(X10))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X8,f1(subspace_topology(X0,X1,X2),f11(X7,f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X4,f2(subspace_topology(X0,X1,X2),X3))))))))))),top_of_basis(X9))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X7,f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X4,f2(subspace_topology(X0,X1,X2),X3))))))))),top_of_basis(X8))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X4,f2(subspace_topology(X0,X1,X2),X3))))))),top_of_basis(X7))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X4,f2(subspace_topology(X0,X1,X2),X3))))),top_of_basis(X6))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X4,f2(subspace_topology(X0,X1,X2),X3))),top_of_basis(X5))
      | element_of_set(X3,intersection_of_members(subspace_topology(X0,X1,X2)))
      | element_of_collection(f2(subspace_topology(X0,X1,X2),X3),top_of_basis(X4))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f169,f330]) ).

fof(f815,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X8,f1(subspace_topology(X0,X1,X2),f11(X7,f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X4,f2(subspace_topology(X0,X1,X2),X3))))))))))),top_of_basis(X9))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X7,f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X4,f2(subspace_topology(X0,X1,X2),X3))))))))),top_of_basis(X8))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X4,f2(subspace_topology(X0,X1,X2),X3))))))),top_of_basis(X7))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X4,f2(subspace_topology(X0,X1,X2),X3))))),top_of_basis(X6))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X4,f2(subspace_topology(X0,X1,X2),X3))),top_of_basis(X5))
      | element_of_set(X3,intersection_of_members(subspace_topology(X0,X1,X2)))
      | element_of_collection(f2(subspace_topology(X0,X1,X2),X3),top_of_basis(X4))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f169,f324]) ).

fof(f816,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X7,f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X4,f2(subspace_topology(X0,X1,X2),X3))))))))),top_of_basis(X8))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X4,f2(subspace_topology(X0,X1,X2),X3))))))),top_of_basis(X7))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X4,f2(subspace_topology(X0,X1,X2),X3))))),top_of_basis(X6))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X4,f2(subspace_topology(X0,X1,X2),X3))),top_of_basis(X5))
      | element_of_set(X3,intersection_of_members(subspace_topology(X0,X1,X2)))
      | element_of_collection(f2(subspace_topology(X0,X1,X2),X3),top_of_basis(X4))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f169,f318]) ).

fof(f817,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X4,f2(subspace_topology(X0,X1,X2),X3))))))),top_of_basis(X7))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X4,f2(subspace_topology(X0,X1,X2),X3))))),top_of_basis(X6))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X4,f2(subspace_topology(X0,X1,X2),X3))),top_of_basis(X5))
      | element_of_set(X3,intersection_of_members(subspace_topology(X0,X1,X2)))
      | element_of_collection(f2(subspace_topology(X0,X1,X2),X3),top_of_basis(X4))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f169,f312]) ).

fof(f818,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X4,f2(subspace_topology(X0,X1,X2),X3))))),top_of_basis(X6))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X4,f2(subspace_topology(X0,X1,X2),X3))),top_of_basis(X5))
      | element_of_set(X3,intersection_of_members(subspace_topology(X0,X1,X2)))
      | element_of_collection(f2(subspace_topology(X0,X1,X2),X3),top_of_basis(X4))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f169,f306]) ).

fof(f819,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X4,f2(subspace_topology(X0,X1,X2),X3))),top_of_basis(X5))
      | element_of_set(X3,intersection_of_members(subspace_topology(X0,X1,X2)))
      | element_of_collection(f2(subspace_topology(X0,X1,X2),X3),top_of_basis(X4))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f169,f300]) ).

fof(f820,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(X3,intersection_of_members(subspace_topology(X0,X1,X2)))
      | element_of_collection(f2(subspace_topology(X0,X1,X2),X3),top_of_basis(X4))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f169,f294]) ).

fof(f821,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X2,intersection_of_members(subspace_topology(X0,X1,X3)))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f169,f119]) ).

fof(f822,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f2(top_of_basis(top_of_basis(X1)),X2),top_of_basis(X3))
      | element_of_set(X2,intersection_of_members(top_of_basis(top_of_basis(X1))))
      | subset_sets(f10(X1,f10(top_of_basis(X1),f2(top_of_basis(top_of_basis(X1)),X2),f11(X3,f2(top_of_basis(top_of_basis(X1)),X2))),X0),f10(top_of_basis(X1),f2(top_of_basis(top_of_basis(X1)),X2),f11(X3,f2(top_of_basis(top_of_basis(X1)),X2))))
      | ~ element_of_set(X0,f10(top_of_basis(X1),f2(top_of_basis(top_of_basis(X1)),X2),f11(X3,f2(top_of_basis(top_of_basis(X1)),X2)))) ),
    inference(resolution,[status(thm)],[f164,f685]) ).

fof(f823,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X1))),top_of_basis(X3))
      | element_of_set(X2,intersection_of_members(top_of_basis(top_of_basis(X1))))
      | subset_sets(f10(X1,f10(top_of_basis(X1),f2(top_of_basis(top_of_basis(X1)),X2),f11(X3,intersection_of_members(top_of_basis(top_of_basis(X1))))),X0),f10(top_of_basis(X1),f2(top_of_basis(top_of_basis(X1)),X2),f11(X3,intersection_of_members(top_of_basis(top_of_basis(X1))))))
      | ~ element_of_set(X0,f10(top_of_basis(X1),f2(top_of_basis(top_of_basis(X1)),X2),f11(X3,intersection_of_members(top_of_basis(top_of_basis(X1)))))) ),
    inference(resolution,[status(thm)],[f164,f686]) ).

fof(f824,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f1(top_of_basis(top_of_basis(X1)),f11(X2,union_of_members(top_of_basis(top_of_basis(X1))))),top_of_basis(X3))
      | element_of_collection(union_of_members(top_of_basis(top_of_basis(X1))),top_of_basis(X2))
      | subset_sets(f10(X1,f10(top_of_basis(X1),f1(top_of_basis(top_of_basis(X1)),f11(X2,union_of_members(top_of_basis(top_of_basis(X1))))),f11(X3,f1(top_of_basis(top_of_basis(X1)),f11(X2,union_of_members(top_of_basis(top_of_basis(X1))))))),X0),f10(top_of_basis(X1),f1(top_of_basis(top_of_basis(X1)),f11(X2,union_of_members(top_of_basis(top_of_basis(X1))))),f11(X3,f1(top_of_basis(top_of_basis(X1)),f11(X2,union_of_members(top_of_basis(top_of_basis(X1))))))))
      | ~ element_of_set(X0,f10(top_of_basis(X1),f1(top_of_basis(top_of_basis(X1)),f11(X2,union_of_members(top_of_basis(top_of_basis(X1))))),f11(X3,f1(top_of_basis(top_of_basis(X1)),f11(X2,union_of_members(top_of_basis(top_of_basis(X1)))))))) ),
    inference(resolution,[status(thm)],[f164,f710]) ).

fof(f825,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X1))),top_of_basis(X3))
      | element_of_collection(union_of_members(top_of_basis(top_of_basis(X1))),top_of_basis(X2))
      | subset_sets(f10(X1,f10(top_of_basis(X1),f1(top_of_basis(top_of_basis(X1)),f11(X2,union_of_members(top_of_basis(top_of_basis(X1))))),f11(X3,intersection_of_members(top_of_basis(top_of_basis(X1))))),X0),f10(top_of_basis(X1),f1(top_of_basis(top_of_basis(X1)),f11(X2,union_of_members(top_of_basis(top_of_basis(X1))))),f11(X3,intersection_of_members(top_of_basis(top_of_basis(X1))))))
      | ~ element_of_set(X0,f10(top_of_basis(X1),f1(top_of_basis(top_of_basis(X1)),f11(X2,union_of_members(top_of_basis(top_of_basis(X1))))),f11(X3,intersection_of_members(top_of_basis(top_of_basis(X1)))))) ),
    inference(resolution,[status(thm)],[f164,f711]) ).

fof(f826,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(union_of_members(top_of_basis(top_of_basis(X1))),top_of_basis(X2))
      | subset_sets(f10(X1,f10(top_of_basis(X1),f1(top_of_basis(top_of_basis(X1)),f11(X2,union_of_members(top_of_basis(top_of_basis(X1))))),f11(X2,union_of_members(top_of_basis(top_of_basis(X1))))),X0),f10(top_of_basis(X1),f1(top_of_basis(top_of_basis(X1)),f11(X2,union_of_members(top_of_basis(top_of_basis(X1))))),f11(X2,union_of_members(top_of_basis(top_of_basis(X1))))))
      | ~ element_of_set(X0,f10(top_of_basis(X1),f1(top_of_basis(top_of_basis(X1)),f11(X2,union_of_members(top_of_basis(top_of_basis(X1))))),f11(X2,union_of_members(top_of_basis(top_of_basis(X1)))))) ),
    inference(resolution,[status(thm)],[f164,f712]) ).

fof(f827,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f1(top_of_basis(top_of_basis(X1)),f11(X2,f2(top_of_basis(top_of_basis(X1)),X3))),top_of_basis(X4))
      | element_of_set(X3,intersection_of_members(top_of_basis(top_of_basis(X1))))
      | element_of_collection(f2(top_of_basis(top_of_basis(X1)),X3),top_of_basis(X2))
      | subset_sets(f10(X1,f10(top_of_basis(X1),f1(top_of_basis(top_of_basis(X1)),f11(X2,f2(top_of_basis(top_of_basis(X1)),X3))),f11(X4,f1(top_of_basis(top_of_basis(X1)),f11(X2,f2(top_of_basis(top_of_basis(X1)),X3))))),X0),f10(top_of_basis(X1),f1(top_of_basis(top_of_basis(X1)),f11(X2,f2(top_of_basis(top_of_basis(X1)),X3))),f11(X4,f1(top_of_basis(top_of_basis(X1)),f11(X2,f2(top_of_basis(top_of_basis(X1)),X3))))))
      | ~ element_of_set(X0,f10(top_of_basis(X1),f1(top_of_basis(top_of_basis(X1)),f11(X2,f2(top_of_basis(top_of_basis(X1)),X3))),f11(X4,f1(top_of_basis(top_of_basis(X1)),f11(X2,f2(top_of_basis(top_of_basis(X1)),X3)))))) ),
    inference(resolution,[status(thm)],[f164,f612]) ).

fof(f828,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X1))),top_of_basis(X4))
      | element_of_set(X3,intersection_of_members(top_of_basis(top_of_basis(X1))))
      | element_of_collection(f2(top_of_basis(top_of_basis(X1)),X3),top_of_basis(X2))
      | subset_sets(f10(X1,f10(top_of_basis(X1),f1(top_of_basis(top_of_basis(X1)),f11(X2,f2(top_of_basis(top_of_basis(X1)),X3))),f11(X4,intersection_of_members(top_of_basis(top_of_basis(X1))))),X0),f10(top_of_basis(X1),f1(top_of_basis(top_of_basis(X1)),f11(X2,f2(top_of_basis(top_of_basis(X1)),X3))),f11(X4,intersection_of_members(top_of_basis(top_of_basis(X1))))))
      | ~ element_of_set(X0,f10(top_of_basis(X1),f1(top_of_basis(top_of_basis(X1)),f11(X2,f2(top_of_basis(top_of_basis(X1)),X3))),f11(X4,intersection_of_members(top_of_basis(top_of_basis(X1)))))) ),
    inference(resolution,[status(thm)],[f164,f613]) ).

fof(f829,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(top_of_basis(top_of_basis(X1))))
      | element_of_collection(f2(top_of_basis(top_of_basis(X1)),X3),top_of_basis(X2))
      | subset_sets(f10(X1,f10(top_of_basis(X1),f1(top_of_basis(top_of_basis(X1)),f11(X2,f2(top_of_basis(top_of_basis(X1)),X3))),f11(X2,f2(top_of_basis(top_of_basis(X1)),X3))),X0),f10(top_of_basis(X1),f1(top_of_basis(top_of_basis(X1)),f11(X2,f2(top_of_basis(top_of_basis(X1)),X3))),f11(X2,f2(top_of_basis(top_of_basis(X1)),X3))))
      | ~ element_of_set(X0,f10(top_of_basis(X1),f1(top_of_basis(top_of_basis(X1)),f11(X2,f2(top_of_basis(top_of_basis(X1)),X3))),f11(X2,f2(top_of_basis(top_of_basis(X1)),X3)))) ),
    inference(resolution,[status(thm)],[f164,f614]) ).

fof(f830,plain,
    ! [X0,X1,X2] :
      ( ~ sQ4_spl
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(top_of_basis(X1)))),top_of_basis(X2))
      | subset_sets(f10(X1,f10(top_of_basis(X1),f1(top_of_basis(top_of_basis(X1)),f11(X2,intersection_of_members(top_of_basis(top_of_basis(top_of_basis(X1)))))),f11(X2,intersection_of_members(top_of_basis(top_of_basis(top_of_basis(X1)))))),X0),f10(top_of_basis(X1),f1(top_of_basis(top_of_basis(X1)),f11(X2,intersection_of_members(top_of_basis(top_of_basis(top_of_basis(X1)))))),f11(X2,intersection_of_members(top_of_basis(top_of_basis(top_of_basis(X1)))))))
      | ~ element_of_set(X0,f10(top_of_basis(X1),f1(top_of_basis(top_of_basis(X1)),f11(X2,intersection_of_members(top_of_basis(top_of_basis(top_of_basis(X1)))))),f11(X2,intersection_of_members(top_of_basis(top_of_basis(top_of_basis(X1))))))) ),
    inference(resolution,[status(thm)],[f164,f648]) ).

fof(f831,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ4_spl
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X1))),top_of_basis(X3))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(top_of_basis(X1)))),top_of_basis(X2))
      | subset_sets(f10(X1,f10(top_of_basis(X1),f1(top_of_basis(top_of_basis(X1)),f11(X2,intersection_of_members(top_of_basis(top_of_basis(top_of_basis(X1)))))),f11(X3,intersection_of_members(top_of_basis(top_of_basis(X1))))),X0),f10(top_of_basis(X1),f1(top_of_basis(top_of_basis(X1)),f11(X2,intersection_of_members(top_of_basis(top_of_basis(top_of_basis(X1)))))),f11(X3,intersection_of_members(top_of_basis(top_of_basis(X1))))))
      | ~ element_of_set(X0,f10(top_of_basis(X1),f1(top_of_basis(top_of_basis(X1)),f11(X2,intersection_of_members(top_of_basis(top_of_basis(top_of_basis(X1)))))),f11(X3,intersection_of_members(top_of_basis(top_of_basis(X1)))))) ),
    inference(resolution,[status(thm)],[f164,f649]) ).

fof(f832,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ4_spl
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X1))),top_of_basis(X3))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X1))),top_of_basis(X2))
      | subset_sets(f10(X1,f10(top_of_basis(X1),f1(top_of_basis(top_of_basis(X1)),f11(X2,intersection_of_members(top_of_basis(top_of_basis(X1))))),f11(X3,intersection_of_members(top_of_basis(top_of_basis(X1))))),X0),f10(top_of_basis(X1),f1(top_of_basis(top_of_basis(X1)),f11(X2,intersection_of_members(top_of_basis(top_of_basis(X1))))),f11(X3,intersection_of_members(top_of_basis(top_of_basis(X1))))))
      | ~ element_of_set(X0,f10(top_of_basis(X1),f1(top_of_basis(top_of_basis(X1)),f11(X2,intersection_of_members(top_of_basis(top_of_basis(X1))))),f11(X3,intersection_of_members(top_of_basis(top_of_basis(X1)))))) ),
    inference(resolution,[status(thm)],[f164,f589]) ).

fof(f833,plain,
    ! [X0,X1,X2] :
      ( ~ sQ4_spl
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X1))),top_of_basis(X2))
      | subset_sets(f10(X1,f10(top_of_basis(X1),f1(top_of_basis(top_of_basis(X1)),f11(X2,intersection_of_members(top_of_basis(top_of_basis(X1))))),f11(X2,intersection_of_members(top_of_basis(top_of_basis(X1))))),X0),f10(top_of_basis(X1),f1(top_of_basis(top_of_basis(X1)),f11(X2,intersection_of_members(top_of_basis(top_of_basis(X1))))),f11(X2,intersection_of_members(top_of_basis(top_of_basis(X1))))))
      | ~ element_of_set(X0,f10(top_of_basis(X1),f1(top_of_basis(top_of_basis(X1)),f11(X2,intersection_of_members(top_of_basis(top_of_basis(X1))))),f11(X2,intersection_of_members(top_of_basis(top_of_basis(X1)))))) ),
    inference(resolution,[status(thm)],[f164,f590]) ).

fof(f834,plain,
    ! [X0,X1,X2] :
      ( ~ sQ4_spl
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(top_of_basis(X1)))),top_of_basis(X2))
      | subset_sets(f10(X1,f1(top_of_basis(X1),f11(X2,intersection_of_members(top_of_basis(top_of_basis(top_of_basis(X1)))))),X0),f1(top_of_basis(X1),f11(X2,intersection_of_members(top_of_basis(top_of_basis(top_of_basis(X1)))))))
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,intersection_of_members(top_of_basis(top_of_basis(top_of_basis(X1))))))) ),
    inference(resolution,[status(thm)],[f164,f667]) ).

fof(f835,plain,
    ! [X0,X1,X2] :
      ( ~ sQ4_spl
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X1))),top_of_basis(X2))
      | subset_sets(f10(X1,f1(top_of_basis(X1),f11(X2,intersection_of_members(top_of_basis(top_of_basis(X1))))),X0),f1(top_of_basis(X1),f11(X2,intersection_of_members(top_of_basis(top_of_basis(X1))))))
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,intersection_of_members(top_of_basis(top_of_basis(X1)))))) ),
    inference(resolution,[status(thm)],[f164,f598]) ).

fof(f836,plain,
    ! [X0,X1,X2] :
      ( ~ sQ4_spl
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X2))
      | subset_sets(f10(X1,f1(top_of_basis(X1),f11(X2,intersection_of_members(top_of_basis(X1)))),X0),f1(top_of_basis(X1),f11(X2,intersection_of_members(top_of_basis(X1)))))
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,intersection_of_members(top_of_basis(X1))))) ),
    inference(resolution,[status(thm)],[f164,f418]) ).

fof(f837,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(union_of_members(top_of_basis(top_of_basis(X1))),top_of_basis(X2))
      | subset_sets(f10(X1,f1(top_of_basis(X1),f11(X2,union_of_members(top_of_basis(top_of_basis(X1))))),X0),f1(top_of_basis(X1),f11(X2,union_of_members(top_of_basis(top_of_basis(X1))))))
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,union_of_members(top_of_basis(top_of_basis(X1)))))) ),
    inference(resolution,[status(thm)],[f164,f720]) ).

fof(f838,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(union_of_members(top_of_basis(X1)),top_of_basis(X2))
      | subset_sets(f10(X1,f1(top_of_basis(X1),f11(X2,union_of_members(top_of_basis(X1)))),X0),f1(top_of_basis(X1),f11(X2,union_of_members(top_of_basis(X1)))))
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,union_of_members(top_of_basis(X1))))) ),
    inference(resolution,[status(thm)],[f164,f292]) ).

fof(f839,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ4_spl
      | element_of_collection(f1(top_of_basis(X1),f11(X3,intersection_of_members(top_of_basis(top_of_basis(X1))))),top_of_basis(X2))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X1))),top_of_basis(X3))
      | subset_sets(f10(X1,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,intersection_of_members(top_of_basis(top_of_basis(X1))))))),X0),f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,intersection_of_members(top_of_basis(top_of_basis(X1))))))))
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,intersection_of_members(top_of_basis(top_of_basis(X1)))))))) ),
    inference(resolution,[status(thm)],[f164,f629]) ).

fof(f840,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ4_spl
      | element_of_collection(f1(top_of_basis(X1),f11(X3,intersection_of_members(top_of_basis(X1)))),top_of_basis(X2))
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X3))
      | subset_sets(f10(X1,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,intersection_of_members(top_of_basis(X1)))))),X0),f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,intersection_of_members(top_of_basis(X1)))))))
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,intersection_of_members(top_of_basis(X1))))))) ),
    inference(resolution,[status(thm)],[f164,f453]) ).

fof(f841,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f1(top_of_basis(X1),f11(X3,union_of_members(top_of_basis(top_of_basis(X1))))),top_of_basis(X2))
      | element_of_collection(union_of_members(top_of_basis(top_of_basis(X1))),top_of_basis(X3))
      | subset_sets(f10(X1,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,union_of_members(top_of_basis(top_of_basis(X1))))))),X0),f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,union_of_members(top_of_basis(top_of_basis(X1))))))))
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,union_of_members(top_of_basis(top_of_basis(X1)))))))) ),
    inference(resolution,[status(thm)],[f164,f731]) ).

fof(f842,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f1(top_of_basis(X1),f11(X3,union_of_members(top_of_basis(X1)))),top_of_basis(X2))
      | element_of_collection(union_of_members(top_of_basis(X1)),top_of_basis(X3))
      | subset_sets(f10(X1,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,union_of_members(top_of_basis(X1)))))),X0),f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,union_of_members(top_of_basis(X1)))))))
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,union_of_members(top_of_basis(X1))))))) ),
    inference(resolution,[status(thm)],[f164,f393]) ).

fof(f843,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ4_spl
      | element_of_collection(f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,intersection_of_members(top_of_basis(X1)))))),top_of_basis(X2))
      | element_of_collection(f1(top_of_basis(X1),f11(X4,intersection_of_members(top_of_basis(X1)))),top_of_basis(X3))
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X4))
      | subset_sets(f10(X1,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,intersection_of_members(top_of_basis(X1)))))))),X0),f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,intersection_of_members(top_of_basis(X1)))))))))
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,intersection_of_members(top_of_basis(X1))))))))) ),
    inference(resolution,[status(thm)],[f164,f480]) ).

fof(f844,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,union_of_members(top_of_basis(X1)))))),top_of_basis(X2))
      | element_of_collection(f1(top_of_basis(X1),f11(X4,union_of_members(top_of_basis(X1)))),top_of_basis(X3))
      | element_of_collection(union_of_members(top_of_basis(X1)),top_of_basis(X4))
      | subset_sets(f10(X1,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,union_of_members(top_of_basis(X1)))))))),X0),f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,union_of_members(top_of_basis(X1)))))))))
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,union_of_members(top_of_basis(X1))))))))) ),
    inference(resolution,[status(thm)],[f164,f462]) ).

fof(f845,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ4_spl
      | element_of_collection(f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,intersection_of_members(top_of_basis(X1)))))))),top_of_basis(X2))
      | element_of_collection(f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,intersection_of_members(top_of_basis(X1)))))),top_of_basis(X3))
      | element_of_collection(f1(top_of_basis(X1),f11(X5,intersection_of_members(top_of_basis(X1)))),top_of_basis(X4))
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X5))
      | subset_sets(f10(X1,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,intersection_of_members(top_of_basis(X1)))))))))),X0),f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,intersection_of_members(top_of_basis(X1)))))))))))
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,intersection_of_members(top_of_basis(X1))))))))))) ),
    inference(resolution,[status(thm)],[f164,f491]) ).

fof(f846,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,union_of_members(top_of_basis(X1)))))))),top_of_basis(X2))
      | element_of_collection(f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,union_of_members(top_of_basis(X1)))))),top_of_basis(X3))
      | element_of_collection(f1(top_of_basis(X1),f11(X5,union_of_members(top_of_basis(X1)))),top_of_basis(X4))
      | element_of_collection(union_of_members(top_of_basis(X1)),top_of_basis(X5))
      | subset_sets(f10(X1,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,union_of_members(top_of_basis(X1)))))))))),X0),f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,union_of_members(top_of_basis(X1)))))))))))
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,union_of_members(top_of_basis(X1))))))))))) ),
    inference(resolution,[status(thm)],[f164,f473]) ).

fof(f847,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ4_spl
      | element_of_collection(f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,intersection_of_members(top_of_basis(X1)))))))))),top_of_basis(X2))
      | element_of_collection(f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,intersection_of_members(top_of_basis(X1)))))))),top_of_basis(X3))
      | element_of_collection(f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,intersection_of_members(top_of_basis(X1)))))),top_of_basis(X4))
      | element_of_collection(f1(top_of_basis(X1),f11(X6,intersection_of_members(top_of_basis(X1)))),top_of_basis(X5))
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X6))
      | subset_sets(f10(X1,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,intersection_of_members(top_of_basis(X1)))))))))))),X0),f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,intersection_of_members(top_of_basis(X1)))))))))))))
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,intersection_of_members(top_of_basis(X1))))))))))))) ),
    inference(resolution,[status(thm)],[f164,f511]) ).

fof(f848,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_collection(f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,union_of_members(top_of_basis(X1)))))))))),top_of_basis(X2))
      | element_of_collection(f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,union_of_members(top_of_basis(X1)))))))),top_of_basis(X3))
      | element_of_collection(f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,union_of_members(top_of_basis(X1)))))),top_of_basis(X4))
      | element_of_collection(f1(top_of_basis(X1),f11(X6,union_of_members(top_of_basis(X1)))),top_of_basis(X5))
      | element_of_collection(union_of_members(top_of_basis(X1)),top_of_basis(X6))
      | subset_sets(f10(X1,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,union_of_members(top_of_basis(X1)))))))))))),X0),f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,union_of_members(top_of_basis(X1)))))))))))))
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,union_of_members(top_of_basis(X1))))))))))))) ),
    inference(resolution,[status(thm)],[f164,f509]) ).

fof(f849,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( element_of_collection(f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,union_of_members(top_of_basis(X1)))))))))))),top_of_basis(X2))
      | element_of_collection(f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,union_of_members(top_of_basis(X1)))))))))),top_of_basis(X3))
      | element_of_collection(f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,union_of_members(top_of_basis(X1)))))))),top_of_basis(X4))
      | element_of_collection(f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,union_of_members(top_of_basis(X1)))))),top_of_basis(X5))
      | element_of_collection(f1(top_of_basis(X1),f11(X7,union_of_members(top_of_basis(X1)))),top_of_basis(X6))
      | element_of_collection(union_of_members(top_of_basis(X1)),top_of_basis(X7))
      | subset_sets(f10(X1,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,union_of_members(top_of_basis(X1)))))))))))))),X0),f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,union_of_members(top_of_basis(X1)))))))))))))))
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,union_of_members(top_of_basis(X1))))))))))))))) ),
    inference(resolution,[status(thm)],[f164,f522]) ).

fof(f850,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( element_of_collection(f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f1(top_of_basis(X1),f11(X8,union_of_members(top_of_basis(X1)))))))))))))),top_of_basis(X2))
      | element_of_collection(f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f1(top_of_basis(X1),f11(X8,union_of_members(top_of_basis(X1)))))))))))),top_of_basis(X3))
      | element_of_collection(f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f1(top_of_basis(X1),f11(X8,union_of_members(top_of_basis(X1)))))))))),top_of_basis(X4))
      | element_of_collection(f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f1(top_of_basis(X1),f11(X8,union_of_members(top_of_basis(X1)))))))),top_of_basis(X5))
      | element_of_collection(f1(top_of_basis(X1),f11(X7,f1(top_of_basis(X1),f11(X8,union_of_members(top_of_basis(X1)))))),top_of_basis(X6))
      | element_of_collection(f1(top_of_basis(X1),f11(X8,union_of_members(top_of_basis(X1)))),top_of_basis(X7))
      | element_of_collection(union_of_members(top_of_basis(X1)),top_of_basis(X8))
      | subset_sets(f10(X1,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f1(top_of_basis(X1),f11(X8,union_of_members(top_of_basis(X1)))))))))))))))),X0),f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f1(top_of_basis(X1),f11(X8,union_of_members(top_of_basis(X1)))))))))))))))))
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f1(top_of_basis(X1),f11(X8,union_of_members(top_of_basis(X1))))))))))))))))) ),
    inference(resolution,[status(thm)],[f164,f533]) ).

fof(f851,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( element_of_collection(f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f1(top_of_basis(X1),f11(X8,f1(top_of_basis(X1),f11(X9,f2(top_of_basis(X1),X10))))))))))))))),top_of_basis(X2))
      | element_of_collection(f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f1(top_of_basis(X1),f11(X8,f1(top_of_basis(X1),f11(X9,f2(top_of_basis(X1),X10))))))))))))),top_of_basis(X3))
      | element_of_collection(f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f1(top_of_basis(X1),f11(X8,f1(top_of_basis(X1),f11(X9,f2(top_of_basis(X1),X10))))))))))),top_of_basis(X4))
      | element_of_collection(f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f1(top_of_basis(X1),f11(X8,f1(top_of_basis(X1),f11(X9,f2(top_of_basis(X1),X10))))))))),top_of_basis(X5))
      | element_of_collection(f1(top_of_basis(X1),f11(X7,f1(top_of_basis(X1),f11(X8,f1(top_of_basis(X1),f11(X9,f2(top_of_basis(X1),X10))))))),top_of_basis(X6))
      | element_of_collection(f1(top_of_basis(X1),f11(X8,f1(top_of_basis(X1),f11(X9,f2(top_of_basis(X1),X10))))),top_of_basis(X7))
      | element_of_collection(f1(top_of_basis(X1),f11(X9,f2(top_of_basis(X1),X10))),top_of_basis(X8))
      | element_of_set(X10,intersection_of_members(top_of_basis(X1)))
      | element_of_collection(f2(top_of_basis(X1),X10),top_of_basis(X9))
      | subset_sets(f10(X1,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f1(top_of_basis(X1),f11(X8,f1(top_of_basis(X1),f11(X9,f2(top_of_basis(X1),X10))))))))))))))))),X0),f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f1(top_of_basis(X1),f11(X8,f1(top_of_basis(X1),f11(X9,f2(top_of_basis(X1),X10))))))))))))))))))
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f1(top_of_basis(X1),f11(X8,f1(top_of_basis(X1),f11(X9,f2(top_of_basis(X1),X10)))))))))))))))))) ),
    inference(resolution,[status(thm)],[f164,f336]) ).

fof(f852,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( element_of_collection(f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f1(top_of_basis(X1),f11(X8,f2(top_of_basis(X1),X9))))))))))))),top_of_basis(X2))
      | element_of_collection(f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f1(top_of_basis(X1),f11(X8,f2(top_of_basis(X1),X9))))))))))),top_of_basis(X3))
      | element_of_collection(f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f1(top_of_basis(X1),f11(X8,f2(top_of_basis(X1),X9))))))))),top_of_basis(X4))
      | element_of_collection(f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f1(top_of_basis(X1),f11(X8,f2(top_of_basis(X1),X9))))))),top_of_basis(X5))
      | element_of_collection(f1(top_of_basis(X1),f11(X7,f1(top_of_basis(X1),f11(X8,f2(top_of_basis(X1),X9))))),top_of_basis(X6))
      | element_of_collection(f1(top_of_basis(X1),f11(X8,f2(top_of_basis(X1),X9))),top_of_basis(X7))
      | element_of_set(X9,intersection_of_members(top_of_basis(X1)))
      | element_of_collection(f2(top_of_basis(X1),X9),top_of_basis(X8))
      | subset_sets(f10(X1,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f1(top_of_basis(X1),f11(X8,f2(top_of_basis(X1),X9))))))))))))))),X0),f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f1(top_of_basis(X1),f11(X8,f2(top_of_basis(X1),X9))))))))))))))))
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f1(top_of_basis(X1),f11(X8,f2(top_of_basis(X1),X9)))))))))))))))) ),
    inference(resolution,[status(thm)],[f164,f330]) ).

fof(f853,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( element_of_collection(f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f2(top_of_basis(X1),X8))))))))))),top_of_basis(X2))
      | element_of_collection(f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f2(top_of_basis(X1),X8))))))))),top_of_basis(X3))
      | element_of_collection(f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f2(top_of_basis(X1),X8))))))),top_of_basis(X4))
      | element_of_collection(f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f2(top_of_basis(X1),X8))))),top_of_basis(X5))
      | element_of_collection(f1(top_of_basis(X1),f11(X7,f2(top_of_basis(X1),X8))),top_of_basis(X6))
      | element_of_set(X8,intersection_of_members(top_of_basis(X1)))
      | element_of_collection(f2(top_of_basis(X1),X8),top_of_basis(X7))
      | subset_sets(f10(X1,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f2(top_of_basis(X1),X8))))))))))))),X0),f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f2(top_of_basis(X1),X8))))))))))))))
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f1(top_of_basis(X1),f11(X7,f2(top_of_basis(X1),X8)))))))))))))) ),
    inference(resolution,[status(thm)],[f164,f324]) ).

fof(f854,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( element_of_collection(f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f2(top_of_basis(X1),X7))))))))),top_of_basis(X2))
      | element_of_collection(f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f2(top_of_basis(X1),X7))))))),top_of_basis(X3))
      | element_of_collection(f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f2(top_of_basis(X1),X7))))),top_of_basis(X4))
      | element_of_collection(f1(top_of_basis(X1),f11(X6,f2(top_of_basis(X1),X7))),top_of_basis(X5))
      | element_of_set(X7,intersection_of_members(top_of_basis(X1)))
      | element_of_collection(f2(top_of_basis(X1),X7),top_of_basis(X6))
      | subset_sets(f10(X1,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f2(top_of_basis(X1),X7))))))))))),X0),f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f2(top_of_basis(X1),X7))))))))))))
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f1(top_of_basis(X1),f11(X6,f2(top_of_basis(X1),X7)))))))))))) ),
    inference(resolution,[status(thm)],[f164,f318]) ).

fof(f855,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_collection(f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f2(top_of_basis(X1),X6))))))),top_of_basis(X2))
      | element_of_collection(f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f2(top_of_basis(X1),X6))))),top_of_basis(X3))
      | element_of_collection(f1(top_of_basis(X1),f11(X5,f2(top_of_basis(X1),X6))),top_of_basis(X4))
      | element_of_set(X6,intersection_of_members(top_of_basis(X1)))
      | element_of_collection(f2(top_of_basis(X1),X6),top_of_basis(X5))
      | subset_sets(f10(X1,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f2(top_of_basis(X1),X6))))))))),X0),f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f2(top_of_basis(X1),X6))))))))))
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f1(top_of_basis(X1),f11(X5,f2(top_of_basis(X1),X6)))))))))) ),
    inference(resolution,[status(thm)],[f164,f312]) ).

fof(f856,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f2(top_of_basis(X1),X5))))),top_of_basis(X2))
      | element_of_collection(f1(top_of_basis(X1),f11(X4,f2(top_of_basis(X1),X5))),top_of_basis(X3))
      | element_of_set(X5,intersection_of_members(top_of_basis(X1)))
      | element_of_collection(f2(top_of_basis(X1),X5),top_of_basis(X4))
      | subset_sets(f10(X1,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f2(top_of_basis(X1),X5))))))),X0),f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f2(top_of_basis(X1),X5))))))))
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f1(top_of_basis(X1),f11(X4,f2(top_of_basis(X1),X5)))))))) ),
    inference(resolution,[status(thm)],[f164,f306]) ).

fof(f857,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f1(top_of_basis(X1),f11(X3,f2(top_of_basis(X1),X4))),top_of_basis(X2))
      | element_of_set(X4,intersection_of_members(top_of_basis(X1)))
      | element_of_collection(f2(top_of_basis(X1),X4),top_of_basis(X3))
      | subset_sets(f10(X1,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f2(top_of_basis(X1),X4))))),X0),f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f2(top_of_basis(X1),X4))))))
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,f1(top_of_basis(X1),f11(X3,f2(top_of_basis(X1),X4)))))) ),
    inference(resolution,[status(thm)],[f164,f300]) ).

fof(f858,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(top_of_basis(X1)))
      | element_of_collection(f2(top_of_basis(X1),X3),top_of_basis(X2))
      | subset_sets(f10(X1,f1(top_of_basis(X1),f11(X2,f2(top_of_basis(X1),X3))),X0),f1(top_of_basis(X1),f11(X2,f2(top_of_basis(X1),X3))))
      | ~ element_of_set(X0,f1(top_of_basis(X1),f11(X2,f2(top_of_basis(X1),X3)))) ),
    inference(resolution,[status(thm)],[f164,f294]) ).

fof(f859,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(top_of_basis(X1)))
      | subset_sets(f10(X1,f2(top_of_basis(X1),X2),X0),f2(top_of_basis(X1),X2))
      | ~ element_of_set(X0,f2(top_of_basis(X1),X2)) ),
    inference(resolution,[status(thm)],[f164,f119]) ).

fof(f860,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f2(top_of_basis(subspace_topology(X1,X3,X0)),X2),top_of_basis(X4))
      | element_of_set(X2,intersection_of_members(top_of_basis(subspace_topology(X1,X3,X0))))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f171,f685]) ).

fof(f861,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(intersection_of_members(top_of_basis(subspace_topology(X1,X3,X0))),top_of_basis(X4))
      | element_of_set(X2,intersection_of_members(top_of_basis(subspace_topology(X1,X3,X0))))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f171,f686]) ).

fof(f862,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f1(top_of_basis(subspace_topology(X1,X2,X0)),f11(X3,union_of_members(top_of_basis(subspace_topology(X1,X2,X0))))),top_of_basis(X4))
      | element_of_collection(union_of_members(top_of_basis(subspace_topology(X1,X2,X0))),top_of_basis(X3))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f171,f710]) ).

fof(f865,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(f1(top_of_basis(subspace_topology(X1,X2,X0)),f11(X4,f2(top_of_basis(subspace_topology(X1,X2,X0)),X3))),top_of_basis(X5))
      | element_of_set(X3,intersection_of_members(top_of_basis(subspace_topology(X1,X2,X0))))
      | element_of_collection(f2(top_of_basis(subspace_topology(X1,X2,X0)),X3),top_of_basis(X4))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f171,f612]) ).

fof(f866,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(intersection_of_members(top_of_basis(subspace_topology(X1,X2,X0))),top_of_basis(X5))
      | element_of_set(X3,intersection_of_members(top_of_basis(subspace_topology(X1,X2,X0))))
      | element_of_collection(f2(top_of_basis(subspace_topology(X1,X2,X0)),X3),top_of_basis(X4))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f171,f613]) ).

fof(f867,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(X3,intersection_of_members(top_of_basis(subspace_topology(X1,X2,X0))))
      | element_of_collection(f2(top_of_basis(subspace_topology(X1,X2,X0)),X3),top_of_basis(X4))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f171,f614]) ).

fof(f868,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ4_spl
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(subspace_topology(X1,X2,X0)))),top_of_basis(X3))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f171,f648]) ).

fof(f869,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ4_spl
      | element_of_collection(intersection_of_members(top_of_basis(subspace_topology(X1,X2,X0))),top_of_basis(X4))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(subspace_topology(X1,X2,X0)))),top_of_basis(X3))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f171,f649]) ).

fof(f870,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ4_spl
      | element_of_collection(intersection_of_members(top_of_basis(subspace_topology(X1,X2,X0))),top_of_basis(X4))
      | element_of_collection(intersection_of_members(top_of_basis(subspace_topology(X1,X2,X0))),top_of_basis(X3))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f171,f589]) ).

fof(f871,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ4_spl
      | element_of_collection(intersection_of_members(top_of_basis(subspace_topology(X1,X2,X0))),top_of_basis(X3))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f171,f590]) ).

fof(f874,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ4_spl
      | element_of_collection(intersection_of_members(subspace_topology(X1,X2,X0)),top_of_basis(X3))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f171,f418]) ).

fof(f875,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(union_of_members(top_of_basis(subspace_topology(X1,X2,X0))),top_of_basis(X3))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f171,f720]) ).

fof(f876,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(union_of_members(subspace_topology(X1,X2,X0)),top_of_basis(X3))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f171,f292]) ).

fof(f877,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ4_spl
      | element_of_collection(f1(subspace_topology(X1,X2,X0),f11(X3,intersection_of_members(top_of_basis(subspace_topology(X1,X2,X0))))),top_of_basis(X4))
      | element_of_collection(intersection_of_members(top_of_basis(subspace_topology(X1,X2,X0))),top_of_basis(X3))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f171,f629]) ).

fof(f878,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ4_spl
      | element_of_collection(f1(subspace_topology(X1,X2,X0),f11(X3,intersection_of_members(subspace_topology(X1,X2,X0)))),top_of_basis(X4))
      | element_of_collection(intersection_of_members(subspace_topology(X1,X2,X0)),top_of_basis(X3))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f171,f453]) ).

fof(f879,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f1(subspace_topology(X1,X2,X0),f11(X3,union_of_members(top_of_basis(subspace_topology(X1,X2,X0))))),top_of_basis(X4))
      | element_of_collection(union_of_members(top_of_basis(subspace_topology(X1,X2,X0))),top_of_basis(X3))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f171,f731]) ).

fof(f880,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f1(subspace_topology(X1,X2,X0),f11(X3,union_of_members(subspace_topology(X1,X2,X0)))),top_of_basis(X4))
      | element_of_collection(union_of_members(subspace_topology(X1,X2,X0)),top_of_basis(X3))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f171,f393]) ).

fof(f881,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ4_spl
      | element_of_collection(f1(subspace_topology(X1,X2,X0),f11(X4,f1(subspace_topology(X1,X2,X0),f11(X3,intersection_of_members(subspace_topology(X1,X2,X0)))))),top_of_basis(X5))
      | element_of_collection(f1(subspace_topology(X1,X2,X0),f11(X3,intersection_of_members(subspace_topology(X1,X2,X0)))),top_of_basis(X4))
      | element_of_collection(intersection_of_members(subspace_topology(X1,X2,X0)),top_of_basis(X3))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f171,f480]) ).

fof(f882,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(f1(subspace_topology(X1,X2,X0),f11(X4,f1(subspace_topology(X1,X2,X0),f11(X3,union_of_members(subspace_topology(X1,X2,X0)))))),top_of_basis(X5))
      | element_of_collection(f1(subspace_topology(X1,X2,X0),f11(X3,union_of_members(subspace_topology(X1,X2,X0)))),top_of_basis(X4))
      | element_of_collection(union_of_members(subspace_topology(X1,X2,X0)),top_of_basis(X3))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f171,f462]) ).

fof(f883,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ4_spl
      | element_of_collection(f1(subspace_topology(X1,X2,X0),f11(X5,f1(subspace_topology(X1,X2,X0),f11(X4,f1(subspace_topology(X1,X2,X0),f11(X3,intersection_of_members(subspace_topology(X1,X2,X0)))))))),top_of_basis(X6))
      | element_of_collection(f1(subspace_topology(X1,X2,X0),f11(X4,f1(subspace_topology(X1,X2,X0),f11(X3,intersection_of_members(subspace_topology(X1,X2,X0)))))),top_of_basis(X5))
      | element_of_collection(f1(subspace_topology(X1,X2,X0),f11(X3,intersection_of_members(subspace_topology(X1,X2,X0)))),top_of_basis(X4))
      | element_of_collection(intersection_of_members(subspace_topology(X1,X2,X0)),top_of_basis(X3))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f171,f491]) ).

fof(f884,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_collection(f1(subspace_topology(X1,X2,X0),f11(X5,f1(subspace_topology(X1,X2,X0),f11(X4,f1(subspace_topology(X1,X2,X0),f11(X3,union_of_members(subspace_topology(X1,X2,X0)))))))),top_of_basis(X6))
      | element_of_collection(f1(subspace_topology(X1,X2,X0),f11(X4,f1(subspace_topology(X1,X2,X0),f11(X3,union_of_members(subspace_topology(X1,X2,X0)))))),top_of_basis(X5))
      | element_of_collection(f1(subspace_topology(X1,X2,X0),f11(X3,union_of_members(subspace_topology(X1,X2,X0)))),top_of_basis(X4))
      | element_of_collection(union_of_members(subspace_topology(X1,X2,X0)),top_of_basis(X3))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f171,f473]) ).

fof(f885,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ4_spl
      | element_of_collection(f1(subspace_topology(X1,X2,X0),f11(X6,f1(subspace_topology(X1,X2,X0),f11(X5,f1(subspace_topology(X1,X2,X0),f11(X4,f1(subspace_topology(X1,X2,X0),f11(X3,intersection_of_members(subspace_topology(X1,X2,X0)))))))))),top_of_basis(X7))
      | element_of_collection(f1(subspace_topology(X1,X2,X0),f11(X5,f1(subspace_topology(X1,X2,X0),f11(X4,f1(subspace_topology(X1,X2,X0),f11(X3,intersection_of_members(subspace_topology(X1,X2,X0)))))))),top_of_basis(X6))
      | element_of_collection(f1(subspace_topology(X1,X2,X0),f11(X4,f1(subspace_topology(X1,X2,X0),f11(X3,intersection_of_members(subspace_topology(X1,X2,X0)))))),top_of_basis(X5))
      | element_of_collection(f1(subspace_topology(X1,X2,X0),f11(X3,intersection_of_members(subspace_topology(X1,X2,X0)))),top_of_basis(X4))
      | element_of_collection(intersection_of_members(subspace_topology(X1,X2,X0)),top_of_basis(X3))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f171,f511]) ).

fof(f886,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( element_of_collection(f1(subspace_topology(X1,X2,X0),f11(X6,f1(subspace_topology(X1,X2,X0),f11(X5,f1(subspace_topology(X1,X2,X0),f11(X4,f1(subspace_topology(X1,X2,X0),f11(X3,union_of_members(subspace_topology(X1,X2,X0)))))))))),top_of_basis(X7))
      | element_of_collection(f1(subspace_topology(X1,X2,X0),f11(X5,f1(subspace_topology(X1,X2,X0),f11(X4,f1(subspace_topology(X1,X2,X0),f11(X3,union_of_members(subspace_topology(X1,X2,X0)))))))),top_of_basis(X6))
      | element_of_collection(f1(subspace_topology(X1,X2,X0),f11(X4,f1(subspace_topology(X1,X2,X0),f11(X3,union_of_members(subspace_topology(X1,X2,X0)))))),top_of_basis(X5))
      | element_of_collection(f1(subspace_topology(X1,X2,X0),f11(X3,union_of_members(subspace_topology(X1,X2,X0)))),top_of_basis(X4))
      | element_of_collection(union_of_members(subspace_topology(X1,X2,X0)),top_of_basis(X3))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f171,f509]) ).

fof(f887,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( element_of_collection(f1(subspace_topology(X1,X2,X0),f11(X7,f1(subspace_topology(X1,X2,X0),f11(X6,f1(subspace_topology(X1,X2,X0),f11(X5,f1(subspace_topology(X1,X2,X0),f11(X4,f1(subspace_topology(X1,X2,X0),f11(X3,union_of_members(subspace_topology(X1,X2,X0)))))))))))),top_of_basis(X8))
      | element_of_collection(f1(subspace_topology(X1,X2,X0),f11(X6,f1(subspace_topology(X1,X2,X0),f11(X5,f1(subspace_topology(X1,X2,X0),f11(X4,f1(subspace_topology(X1,X2,X0),f11(X3,union_of_members(subspace_topology(X1,X2,X0)))))))))),top_of_basis(X7))
      | element_of_collection(f1(subspace_topology(X1,X2,X0),f11(X5,f1(subspace_topology(X1,X2,X0),f11(X4,f1(subspace_topology(X1,X2,X0),f11(X3,union_of_members(subspace_topology(X1,X2,X0)))))))),top_of_basis(X6))
      | element_of_collection(f1(subspace_topology(X1,X2,X0),f11(X4,f1(subspace_topology(X1,X2,X0),f11(X3,union_of_members(subspace_topology(X1,X2,X0)))))),top_of_basis(X5))
      | element_of_collection(f1(subspace_topology(X1,X2,X0),f11(X3,union_of_members(subspace_topology(X1,X2,X0)))),top_of_basis(X4))
      | element_of_collection(union_of_members(subspace_topology(X1,X2,X0)),top_of_basis(X3))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f171,f522]) ).

fof(f888,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( element_of_collection(f1(subspace_topology(X1,X2,X0),f11(X8,f1(subspace_topology(X1,X2,X0),f11(X7,f1(subspace_topology(X1,X2,X0),f11(X6,f1(subspace_topology(X1,X2,X0),f11(X5,f1(subspace_topology(X1,X2,X0),f11(X4,f1(subspace_topology(X1,X2,X0),f11(X3,union_of_members(subspace_topology(X1,X2,X0)))))))))))))),top_of_basis(X9))
      | element_of_collection(f1(subspace_topology(X1,X2,X0),f11(X7,f1(subspace_topology(X1,X2,X0),f11(X6,f1(subspace_topology(X1,X2,X0),f11(X5,f1(subspace_topology(X1,X2,X0),f11(X4,f1(subspace_topology(X1,X2,X0),f11(X3,union_of_members(subspace_topology(X1,X2,X0)))))))))))),top_of_basis(X8))
      | element_of_collection(f1(subspace_topology(X1,X2,X0),f11(X6,f1(subspace_topology(X1,X2,X0),f11(X5,f1(subspace_topology(X1,X2,X0),f11(X4,f1(subspace_topology(X1,X2,X0),f11(X3,union_of_members(subspace_topology(X1,X2,X0)))))))))),top_of_basis(X7))
      | element_of_collection(f1(subspace_topology(X1,X2,X0),f11(X5,f1(subspace_topology(X1,X2,X0),f11(X4,f1(subspace_topology(X1,X2,X0),f11(X3,union_of_members(subspace_topology(X1,X2,X0)))))))),top_of_basis(X6))
      | element_of_collection(f1(subspace_topology(X1,X2,X0),f11(X4,f1(subspace_topology(X1,X2,X0),f11(X3,union_of_members(subspace_topology(X1,X2,X0)))))),top_of_basis(X5))
      | element_of_collection(f1(subspace_topology(X1,X2,X0),f11(X3,union_of_members(subspace_topology(X1,X2,X0)))),top_of_basis(X4))
      | element_of_collection(union_of_members(subspace_topology(X1,X2,X0)),top_of_basis(X3))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f171,f533]) ).

fof(f889,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( element_of_collection(f1(subspace_topology(X1,X2,X0),f11(X10,f1(subspace_topology(X1,X2,X0),f11(X9,f1(subspace_topology(X1,X2,X0),f11(X8,f1(subspace_topology(X1,X2,X0),f11(X7,f1(subspace_topology(X1,X2,X0),f11(X6,f1(subspace_topology(X1,X2,X0),f11(X5,f1(subspace_topology(X1,X2,X0),f11(X4,f2(subspace_topology(X1,X2,X0),X3))))))))))))))),top_of_basis(X11))
      | element_of_collection(f1(subspace_topology(X1,X2,X0),f11(X9,f1(subspace_topology(X1,X2,X0),f11(X8,f1(subspace_topology(X1,X2,X0),f11(X7,f1(subspace_topology(X1,X2,X0),f11(X6,f1(subspace_topology(X1,X2,X0),f11(X5,f1(subspace_topology(X1,X2,X0),f11(X4,f2(subspace_topology(X1,X2,X0),X3))))))))))))),top_of_basis(X10))
      | element_of_collection(f1(subspace_topology(X1,X2,X0),f11(X8,f1(subspace_topology(X1,X2,X0),f11(X7,f1(subspace_topology(X1,X2,X0),f11(X6,f1(subspace_topology(X1,X2,X0),f11(X5,f1(subspace_topology(X1,X2,X0),f11(X4,f2(subspace_topology(X1,X2,X0),X3))))))))))),top_of_basis(X9))
      | element_of_collection(f1(subspace_topology(X1,X2,X0),f11(X7,f1(subspace_topology(X1,X2,X0),f11(X6,f1(subspace_topology(X1,X2,X0),f11(X5,f1(subspace_topology(X1,X2,X0),f11(X4,f2(subspace_topology(X1,X2,X0),X3))))))))),top_of_basis(X8))
      | element_of_collection(f1(subspace_topology(X1,X2,X0),f11(X6,f1(subspace_topology(X1,X2,X0),f11(X5,f1(subspace_topology(X1,X2,X0),f11(X4,f2(subspace_topology(X1,X2,X0),X3))))))),top_of_basis(X7))
      | element_of_collection(f1(subspace_topology(X1,X2,X0),f11(X5,f1(subspace_topology(X1,X2,X0),f11(X4,f2(subspace_topology(X1,X2,X0),X3))))),top_of_basis(X6))
      | element_of_collection(f1(subspace_topology(X1,X2,X0),f11(X4,f2(subspace_topology(X1,X2,X0),X3))),top_of_basis(X5))
      | element_of_set(X3,intersection_of_members(subspace_topology(X1,X2,X0)))
      | element_of_collection(f2(subspace_topology(X1,X2,X0),X3),top_of_basis(X4))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f171,f336]) ).

fof(f890,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( element_of_collection(f1(subspace_topology(X1,X2,X0),f11(X9,f1(subspace_topology(X1,X2,X0),f11(X8,f1(subspace_topology(X1,X2,X0),f11(X7,f1(subspace_topology(X1,X2,X0),f11(X6,f1(subspace_topology(X1,X2,X0),f11(X5,f1(subspace_topology(X1,X2,X0),f11(X4,f2(subspace_topology(X1,X2,X0),X3))))))))))))),top_of_basis(X10))
      | element_of_collection(f1(subspace_topology(X1,X2,X0),f11(X8,f1(subspace_topology(X1,X2,X0),f11(X7,f1(subspace_topology(X1,X2,X0),f11(X6,f1(subspace_topology(X1,X2,X0),f11(X5,f1(subspace_topology(X1,X2,X0),f11(X4,f2(subspace_topology(X1,X2,X0),X3))))))))))),top_of_basis(X9))
      | element_of_collection(f1(subspace_topology(X1,X2,X0),f11(X7,f1(subspace_topology(X1,X2,X0),f11(X6,f1(subspace_topology(X1,X2,X0),f11(X5,f1(subspace_topology(X1,X2,X0),f11(X4,f2(subspace_topology(X1,X2,X0),X3))))))))),top_of_basis(X8))
      | element_of_collection(f1(subspace_topology(X1,X2,X0),f11(X6,f1(subspace_topology(X1,X2,X0),f11(X5,f1(subspace_topology(X1,X2,X0),f11(X4,f2(subspace_topology(X1,X2,X0),X3))))))),top_of_basis(X7))
      | element_of_collection(f1(subspace_topology(X1,X2,X0),f11(X5,f1(subspace_topology(X1,X2,X0),f11(X4,f2(subspace_topology(X1,X2,X0),X3))))),top_of_basis(X6))
      | element_of_collection(f1(subspace_topology(X1,X2,X0),f11(X4,f2(subspace_topology(X1,X2,X0),X3))),top_of_basis(X5))
      | element_of_set(X3,intersection_of_members(subspace_topology(X1,X2,X0)))
      | element_of_collection(f2(subspace_topology(X1,X2,X0),X3),top_of_basis(X4))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f171,f330]) ).

fof(f891,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( element_of_collection(f1(subspace_topology(X1,X2,X0),f11(X8,f1(subspace_topology(X1,X2,X0),f11(X7,f1(subspace_topology(X1,X2,X0),f11(X6,f1(subspace_topology(X1,X2,X0),f11(X5,f1(subspace_topology(X1,X2,X0),f11(X4,f2(subspace_topology(X1,X2,X0),X3))))))))))),top_of_basis(X9))
      | element_of_collection(f1(subspace_topology(X1,X2,X0),f11(X7,f1(subspace_topology(X1,X2,X0),f11(X6,f1(subspace_topology(X1,X2,X0),f11(X5,f1(subspace_topology(X1,X2,X0),f11(X4,f2(subspace_topology(X1,X2,X0),X3))))))))),top_of_basis(X8))
      | element_of_collection(f1(subspace_topology(X1,X2,X0),f11(X6,f1(subspace_topology(X1,X2,X0),f11(X5,f1(subspace_topology(X1,X2,X0),f11(X4,f2(subspace_topology(X1,X2,X0),X3))))))),top_of_basis(X7))
      | element_of_collection(f1(subspace_topology(X1,X2,X0),f11(X5,f1(subspace_topology(X1,X2,X0),f11(X4,f2(subspace_topology(X1,X2,X0),X3))))),top_of_basis(X6))
      | element_of_collection(f1(subspace_topology(X1,X2,X0),f11(X4,f2(subspace_topology(X1,X2,X0),X3))),top_of_basis(X5))
      | element_of_set(X3,intersection_of_members(subspace_topology(X1,X2,X0)))
      | element_of_collection(f2(subspace_topology(X1,X2,X0),X3),top_of_basis(X4))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f171,f324]) ).

fof(f892,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( element_of_collection(f1(subspace_topology(X1,X2,X0),f11(X7,f1(subspace_topology(X1,X2,X0),f11(X6,f1(subspace_topology(X1,X2,X0),f11(X5,f1(subspace_topology(X1,X2,X0),f11(X4,f2(subspace_topology(X1,X2,X0),X3))))))))),top_of_basis(X8))
      | element_of_collection(f1(subspace_topology(X1,X2,X0),f11(X6,f1(subspace_topology(X1,X2,X0),f11(X5,f1(subspace_topology(X1,X2,X0),f11(X4,f2(subspace_topology(X1,X2,X0),X3))))))),top_of_basis(X7))
      | element_of_collection(f1(subspace_topology(X1,X2,X0),f11(X5,f1(subspace_topology(X1,X2,X0),f11(X4,f2(subspace_topology(X1,X2,X0),X3))))),top_of_basis(X6))
      | element_of_collection(f1(subspace_topology(X1,X2,X0),f11(X4,f2(subspace_topology(X1,X2,X0),X3))),top_of_basis(X5))
      | element_of_set(X3,intersection_of_members(subspace_topology(X1,X2,X0)))
      | element_of_collection(f2(subspace_topology(X1,X2,X0),X3),top_of_basis(X4))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f171,f318]) ).

fof(f893,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( element_of_collection(f1(subspace_topology(X1,X2,X0),f11(X6,f1(subspace_topology(X1,X2,X0),f11(X5,f1(subspace_topology(X1,X2,X0),f11(X4,f2(subspace_topology(X1,X2,X0),X3))))))),top_of_basis(X7))
      | element_of_collection(f1(subspace_topology(X1,X2,X0),f11(X5,f1(subspace_topology(X1,X2,X0),f11(X4,f2(subspace_topology(X1,X2,X0),X3))))),top_of_basis(X6))
      | element_of_collection(f1(subspace_topology(X1,X2,X0),f11(X4,f2(subspace_topology(X1,X2,X0),X3))),top_of_basis(X5))
      | element_of_set(X3,intersection_of_members(subspace_topology(X1,X2,X0)))
      | element_of_collection(f2(subspace_topology(X1,X2,X0),X3),top_of_basis(X4))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f171,f312]) ).

fof(f894,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_collection(f1(subspace_topology(X1,X2,X0),f11(X5,f1(subspace_topology(X1,X2,X0),f11(X4,f2(subspace_topology(X1,X2,X0),X3))))),top_of_basis(X6))
      | element_of_collection(f1(subspace_topology(X1,X2,X0),f11(X4,f2(subspace_topology(X1,X2,X0),X3))),top_of_basis(X5))
      | element_of_set(X3,intersection_of_members(subspace_topology(X1,X2,X0)))
      | element_of_collection(f2(subspace_topology(X1,X2,X0),X3),top_of_basis(X4))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f171,f306]) ).

fof(f895,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(f1(subspace_topology(X1,X2,X0),f11(X4,f2(subspace_topology(X1,X2,X0),X3))),top_of_basis(X5))
      | element_of_set(X3,intersection_of_members(subspace_topology(X1,X2,X0)))
      | element_of_collection(f2(subspace_topology(X1,X2,X0),X3),top_of_basis(X4))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f171,f300]) ).

fof(f896,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(X3,intersection_of_members(subspace_topology(X1,X2,X0)))
      | element_of_collection(f2(subspace_topology(X1,X2,X0),X3),top_of_basis(X4))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f171,f294]) ).

fof(f897,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X2,intersection_of_members(subspace_topology(X1,X3,X0)))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f171,f119]) ).

fof(f898,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(interior(X2,X0,X1),top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f177,f165]) ).

fof(f899,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(interior(X0,X1,X2),top_of_basis(X3))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f179,f165]) ).

fof(f900,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(closure(X2,X0,X1),top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f186,f165]) ).

fof(f901,plain,
    ! [X0,X1] :
      ( ~ sQ4_spl
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1))
      | ~ subset_sets(f1(X0,f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))),intersection_of_members(top_of_basis(top_of_basis(X0))))
      | ~ element_of_collection(f1(X0,f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))),X1)
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f167,f668]) ).

fof(f902,plain,
    ! [X0,X1] :
      ( ~ sQ4_spl
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1))
      | ~ subset_sets(union_of_members(X0),intersection_of_members(top_of_basis(top_of_basis(X0))))
      | ~ element_of_collection(union_of_members(X0),X1)
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f167,f666]) ).

fof(f903,plain,
    ! [X0,X1] :
      ( ~ sQ4_spl
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1))
      | ~ subset_sets(f10(X0,f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))),f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))),intersection_of_members(top_of_basis(top_of_basis(X0))))
      | ~ element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))),f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))),X1)
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f167,f662]) ).

fof(f904,plain,
    ! [X0,X1] :
      ( ~ sQ4_spl
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1))
      | ~ subset_sets(f1(X0,f11(X1,intersection_of_members(top_of_basis(X0)))),intersection_of_members(top_of_basis(X0)))
      | ~ element_of_collection(f1(X0,f11(X1,intersection_of_members(top_of_basis(X0)))),X1)
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f167,f599]) ).

fof(f905,plain,
    ! [X0,X1] :
      ( ~ sQ4_spl
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1))
      | ~ subset_sets(union_of_members(X0),intersection_of_members(top_of_basis(X0)))
      | ~ element_of_collection(union_of_members(X0),X1)
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f167,f597]) ).

fof(f906,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1))
      | element_of_set(X2,intersection_of_members(top_of_basis(X0)))
      | ~ subset_sets(f10(X0,f2(top_of_basis(X0),X2),f11(X1,intersection_of_members(top_of_basis(X0)))),intersection_of_members(top_of_basis(X0)))
      | ~ element_of_collection(f10(X0,f2(top_of_basis(X0),X2),f11(X1,intersection_of_members(top_of_basis(X0)))),X1)
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f167,f683]) ).

fof(f907,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1))
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X2))
      | ~ subset_sets(f10(X0,f1(top_of_basis(X0),f11(X2,union_of_members(top_of_basis(X0)))),f11(X1,intersection_of_members(top_of_basis(X0)))),intersection_of_members(top_of_basis(X0)))
      | ~ element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X2,union_of_members(top_of_basis(X0)))),f11(X1,intersection_of_members(top_of_basis(X0)))),X1)
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f167,f706]) ).

fof(f908,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1))
      | element_of_collection(f1(top_of_basis(X0),f11(X3,union_of_members(top_of_basis(X0)))),top_of_basis(X2))
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X3))
      | ~ subset_sets(f10(X0,f1(top_of_basis(X0),f11(X2,f1(top_of_basis(X0),f11(X3,union_of_members(top_of_basis(X0)))))),f11(X1,intersection_of_members(top_of_basis(X0)))),intersection_of_members(top_of_basis(X0)))
      | ~ element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X2,f1(top_of_basis(X0),f11(X3,union_of_members(top_of_basis(X0)))))),f11(X1,intersection_of_members(top_of_basis(X0)))),X1)
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f167,f618]) ).

fof(f909,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1))
      | element_of_set(X3,intersection_of_members(top_of_basis(X0)))
      | element_of_collection(f2(top_of_basis(X0),X3),top_of_basis(X2))
      | ~ subset_sets(f10(X0,f1(top_of_basis(X0),f11(X2,f2(top_of_basis(X0),X3))),f11(X1,intersection_of_members(top_of_basis(X0)))),intersection_of_members(top_of_basis(X0)))
      | ~ element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X2,f2(top_of_basis(X0),X3))),f11(X1,intersection_of_members(top_of_basis(X0)))),X1)
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f167,f608]) ).

fof(f910,plain,
    ! [X0,X1] :
      ( ~ sQ4_spl
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1))
      | ~ subset_sets(f10(X0,f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(X0)))),f11(X1,intersection_of_members(top_of_basis(X0)))),intersection_of_members(top_of_basis(X0)))
      | ~ element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(X0)))),f11(X1,intersection_of_members(top_of_basis(X0)))),X1)
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f167,f585]) ).

fof(f911,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_members(X0),top_of_basis(X1))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X3))
      | element_of_set(X2,intersection_of_members(top_of_basis(X0)))
      | ~ subset_sets(f10(X0,f2(top_of_basis(X0),X2),f11(X3,intersection_of_members(top_of_basis(X0)))),intersection_of_members(X0))
      | ~ element_of_collection(f10(X0,f2(top_of_basis(X0),X2),f11(X3,intersection_of_members(top_of_basis(X0)))),X1)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f167,f692]) ).

fof(f912,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_members(X0),top_of_basis(X1))
      | element_of_collection(f2(top_of_basis(X0),X2),top_of_basis(X3))
      | element_of_set(X2,intersection_of_members(top_of_basis(X0)))
      | ~ subset_sets(f10(X0,f2(top_of_basis(X0),X2),f11(X3,f2(top_of_basis(X0),X2))),intersection_of_members(X0))
      | ~ element_of_collection(f10(X0,f2(top_of_basis(X0),X2),f11(X3,f2(top_of_basis(X0),X2))),X1)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f167,f696]) ).

fof(f913,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_members(X0),top_of_basis(X1))
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X2))
      | ~ subset_sets(f10(X0,f1(top_of_basis(X0),f11(X2,union_of_members(top_of_basis(X0)))),f11(X2,union_of_members(top_of_basis(X0)))),intersection_of_members(X0))
      | ~ element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X2,union_of_members(top_of_basis(X0)))),f11(X2,union_of_members(top_of_basis(X0)))),X1)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f167,f715]) ).

fof(f914,plain,
    ! [X0,X1,X2] :
      ( ~ sQ4_spl
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X2))
      | ~ subset_sets(f10(X0,f1(top_of_basis(X0),f11(X2,intersection_of_members(top_of_basis(X0)))),f11(X2,intersection_of_members(top_of_basis(X0)))),intersection_of_members(X0))
      | ~ element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X2,intersection_of_members(top_of_basis(X0)))),f11(X2,intersection_of_members(top_of_basis(X0)))),X1)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f167,f593]) ).

fof(f915,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ4_spl
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1))
      | element_of_collection(f1(X0,f11(X3,intersection_of_members(X0))),top_of_basis(X2))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X3))
      | ~ subset_sets(f1(X0,f11(X2,f1(X0,f11(X3,intersection_of_members(X0))))),intersection_of_members(X0))
      | ~ element_of_collection(f1(X0,f11(X2,f1(X0,f11(X3,intersection_of_members(X0))))),X1)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f167,f455]) ).

fof(f916,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( element_of_collection(f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,f2(X0,X8))))))))))),top_of_basis(X2))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,f2(X0,X8))))))))),top_of_basis(X3))
      | element_of_collection(f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,f2(X0,X8))))))),top_of_basis(X4))
      | element_of_collection(f1(X0,f11(X6,f1(X0,f11(X7,f2(X0,X8))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X7,f2(X0,X8))),top_of_basis(X6))
      | element_of_set(X8,intersection_of_members(X0))
      | element_of_collection(f2(X0,X8),top_of_basis(X7))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1))
      | ~ subset_sets(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,f2(X0,X8))))))))))))),intersection_of_members(X0))
      | ~ element_of_collection(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,f2(X0,X8))))))))))))),X1)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f167,f348]) ).

fof(f917,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( element_of_collection(intersection_of_members(X0),top_of_basis(X1))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,union_of_members(X0))))))))))),top_of_basis(X2))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,union_of_members(X0))))))))),top_of_basis(X3))
      | element_of_collection(f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,union_of_members(X0))))))),top_of_basis(X4))
      | element_of_collection(f1(X0,f11(X6,f1(X0,f11(X7,union_of_members(X0))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X7,union_of_members(X0))),top_of_basis(X6))
      | element_of_collection(union_of_members(X0),top_of_basis(X7))
      | ~ subset_sets(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,union_of_members(X0))))))))))))),intersection_of_members(X0))
      | ~ element_of_collection(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,union_of_members(X0))))))))))))),X1)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f167,f526]) ).

fof(f918,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( element_of_collection(f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f2(X0,X7))))))))),top_of_basis(X2))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f2(X0,X7))))))),top_of_basis(X3))
      | element_of_collection(f1(X0,f11(X5,f1(X0,f11(X6,f2(X0,X7))))),top_of_basis(X4))
      | element_of_collection(f1(X0,f11(X6,f2(X0,X7))),top_of_basis(X5))
      | element_of_set(X7,intersection_of_members(X0))
      | element_of_collection(f2(X0,X7),top_of_basis(X6))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1))
      | ~ subset_sets(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f2(X0,X7))))))))))),intersection_of_members(X0))
      | ~ element_of_collection(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f2(X0,X7))))))))))),X1)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f167,f349]) ).

fof(f919,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_collection(intersection_of_members(X0),top_of_basis(X1))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,union_of_members(X0))))))))),top_of_basis(X2))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,union_of_members(X0))))))),top_of_basis(X3))
      | element_of_collection(f1(X0,f11(X5,f1(X0,f11(X6,union_of_members(X0))))),top_of_basis(X4))
      | element_of_collection(f1(X0,f11(X6,union_of_members(X0))),top_of_basis(X5))
      | element_of_collection(union_of_members(X0),top_of_basis(X6))
      | ~ subset_sets(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,union_of_members(X0))))))))))),intersection_of_members(X0))
      | ~ element_of_collection(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,union_of_members(X0))))))))))),X1)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f167,f513]) ).

fof(f920,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_collection(f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f2(X0,X6))))))),top_of_basis(X2))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X5,f2(X0,X6))))),top_of_basis(X3))
      | element_of_collection(f1(X0,f11(X5,f2(X0,X6))),top_of_basis(X4))
      | element_of_set(X6,intersection_of_members(X0))
      | element_of_collection(f2(X0,X6),top_of_basis(X5))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1))
      | ~ subset_sets(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f2(X0,X6))))))))),intersection_of_members(X0))
      | ~ element_of_collection(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f2(X0,X6))))))))),X1)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f167,f350]) ).

fof(f921,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ4_spl
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,intersection_of_members(X0))))))),top_of_basis(X2))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X5,intersection_of_members(X0))))),top_of_basis(X3))
      | element_of_collection(f1(X0,f11(X5,intersection_of_members(X0))),top_of_basis(X4))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X5))
      | ~ subset_sets(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,intersection_of_members(X0))))))))),intersection_of_members(X0))
      | ~ element_of_collection(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,intersection_of_members(X0))))))))),X1)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f167,f495]) ).

fof(f922,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(intersection_of_members(X0),top_of_basis(X1))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,union_of_members(X0))))))),top_of_basis(X2))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X5,union_of_members(X0))))),top_of_basis(X3))
      | element_of_collection(f1(X0,f11(X5,union_of_members(X0))),top_of_basis(X4))
      | element_of_collection(union_of_members(X0),top_of_basis(X5))
      | ~ subset_sets(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,union_of_members(X0))))))))),intersection_of_members(X0))
      | ~ element_of_collection(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,union_of_members(X0))))))))),X1)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f167,f493]) ).

fof(f923,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(f1(X0,f11(X3,f1(X0,f11(X4,f2(X0,X5))))),top_of_basis(X2))
      | element_of_collection(f1(X0,f11(X4,f2(X0,X5))),top_of_basis(X3))
      | element_of_set(X5,intersection_of_members(X0))
      | element_of_collection(f2(X0,X5),top_of_basis(X4))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1))
      | ~ subset_sets(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f2(X0,X5))))))),intersection_of_members(X0))
      | ~ element_of_collection(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f2(X0,X5))))))),X1)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f167,f351]) ).

fof(f924,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ4_spl
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X4,intersection_of_members(X0))))),top_of_basis(X2))
      | element_of_collection(f1(X0,f11(X4,intersection_of_members(X0))),top_of_basis(X3))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X4))
      | ~ subset_sets(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,intersection_of_members(X0))))))),intersection_of_members(X0))
      | ~ element_of_collection(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,intersection_of_members(X0))))))),X1)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f167,f482]) ).

fof(f925,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(intersection_of_members(X0),top_of_basis(X1))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X4,union_of_members(X0))))),top_of_basis(X2))
      | element_of_collection(f1(X0,f11(X4,union_of_members(X0))),top_of_basis(X3))
      | element_of_collection(union_of_members(X0),top_of_basis(X4))
      | ~ subset_sets(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,union_of_members(X0))))))),intersection_of_members(X0))
      | ~ element_of_collection(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,union_of_members(X0))))))),X1)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f167,f466]) ).

fof(f926,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f1(X0,f11(X3,f2(X0,X4))),top_of_basis(X2))
      | element_of_set(X4,intersection_of_members(X0))
      | element_of_collection(f2(X0,X4),top_of_basis(X3))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1))
      | ~ subset_sets(f1(X0,f11(X2,f1(X0,f11(X3,f2(X0,X4))))),intersection_of_members(X0))
      | ~ element_of_collection(f1(X0,f11(X2,f1(X0,f11(X3,f2(X0,X4))))),X1)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f167,f352]) ).

fof(f927,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_members(X0),top_of_basis(X1))
      | element_of_collection(f1(X0,f11(X3,union_of_members(X0))),top_of_basis(X2))
      | element_of_collection(union_of_members(X0),top_of_basis(X3))
      | ~ subset_sets(f1(X0,f11(X2,f1(X0,f11(X3,union_of_members(X0))))),intersection_of_members(X0))
      | ~ element_of_collection(f1(X0,f11(X2,f1(X0,f11(X3,union_of_members(X0))))),X1)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f167,f449]) ).

fof(f928,plain,
    ! [X0,X1,X2] :
      ( ~ sQ4_spl
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X2))
      | ~ subset_sets(f1(X0,f11(X2,intersection_of_members(top_of_basis(top_of_basis(X0))))),intersection_of_members(X0))
      | ~ element_of_collection(f1(X0,f11(X2,intersection_of_members(top_of_basis(top_of_basis(X0))))),X1)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f167,f671]) ).

fof(f929,plain,
    ! [X0,X1,X2] :
      ( ~ sQ4_spl
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X2))
      | ~ subset_sets(f1(X0,f11(X2,intersection_of_members(top_of_basis(X0)))),intersection_of_members(X0))
      | ~ element_of_collection(f1(X0,f11(X2,intersection_of_members(top_of_basis(X0)))),X1)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f167,f602]) ).

fof(f930,plain,
    ! [X0,X1,X2] :
      ( ~ sQ4_spl
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X2))
      | ~ subset_sets(f1(X0,f11(X2,intersection_of_members(X0))),intersection_of_members(X0))
      | ~ element_of_collection(f1(X0,f11(X2,intersection_of_members(X0))),X1)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f167,f425]) ).

fof(f931,plain,
    ! [X0,X1] :
      ( ~ sQ4_spl
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1))
      | ~ subset_sets(f1(X0,f11(X1,intersection_of_members(X0))),intersection_of_members(X0))
      | ~ element_of_collection(f1(X0,f11(X1,intersection_of_members(X0))),X1)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f167,f420]) ).

fof(f932,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(X0))
      | element_of_collection(f2(X0,X3),top_of_basis(X2))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1))
      | ~ subset_sets(f1(X0,f11(X2,f2(X0,X3))),intersection_of_members(X0))
      | ~ element_of_collection(f1(X0,f11(X2,f2(X0,X3))),X1)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f167,f353]) ).

fof(f933,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_members(X0),top_of_basis(X1))
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X2))
      | ~ subset_sets(f1(X0,f11(X2,union_of_members(top_of_basis(X0)))),intersection_of_members(X0))
      | ~ element_of_collection(f1(X0,f11(X2,union_of_members(top_of_basis(X0)))),X1)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f167,f724]) ).

fof(f934,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(union_of_members(X0),top_of_basis(X2))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1))
      | ~ subset_sets(f1(X0,f11(X2,union_of_members(X0))),intersection_of_members(X0))
      | ~ element_of_collection(f1(X0,f11(X2,union_of_members(X0))),X1)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f167,f345]) ).

fof(f935,plain,
    ! [X0,X1] :
      ( ~ sQ4_spl
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1))
      | ~ subset_sets(union_of_members(X0),intersection_of_members(X0))
      | ~ element_of_collection(union_of_members(X0),X1)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f167,f446]) ).

fof(f936,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(X0))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1))
      | ~ subset_sets(f2(X0,X2),intersection_of_members(X0))
      | ~ element_of_collection(f2(X0,X2),X1)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f167,f354]) ).

fof(f937,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X1))
      | ~ subset_sets(f1(X0,f11(X1,union_of_members(top_of_basis(X0)))),union_of_members(top_of_basis(X0)))
      | ~ element_of_collection(f1(X0,f11(X1,union_of_members(top_of_basis(X0)))),X1)
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f167,f721]) ).

fof(f938,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X1))
      | ~ subset_sets(union_of_members(X0),union_of_members(top_of_basis(X0)))
      | ~ element_of_collection(union_of_members(X0),X1)
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f167,f719]) ).

fof(f939,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X1))
      | ~ subset_sets(f10(X0,f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))),f11(X1,union_of_members(top_of_basis(X0)))),union_of_members(top_of_basis(X0)))
      | ~ element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))),f11(X1,union_of_members(top_of_basis(X0)))),X1)
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f167,f707]) ).

fof(f940,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(X0),top_of_basis(X1))
      | ~ subset_sets(f1(X0,f11(X1,union_of_members(X0))),union_of_members(X0))
      | ~ element_of_collection(f1(X0,f11(X1,union_of_members(X0))),X1)
      | element_of_collection(union_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f167,f293]) ).

fof(f941,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f1(top_of_basis(X0),f11(X1,f1(top_of_basis(X0),f11(X2,union_of_members(top_of_basis(X0)))))),top_of_basis(X3))
      | element_of_collection(f1(top_of_basis(X0),f11(X2,union_of_members(top_of_basis(X0)))),top_of_basis(X1))
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X2))
      | ~ subset_sets(f10(X0,f1(top_of_basis(X0),f11(X1,f1(top_of_basis(X0),f11(X2,union_of_members(top_of_basis(X0)))))),f11(X3,f1(top_of_basis(X0),f11(X1,f1(top_of_basis(X0),f11(X2,union_of_members(top_of_basis(X0)))))))),f1(top_of_basis(X0),f11(X1,f1(top_of_basis(X0),f11(X2,union_of_members(top_of_basis(X0)))))))
      | ~ element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X1,f1(top_of_basis(X0),f11(X2,union_of_members(top_of_basis(X0)))))),f11(X3,f1(top_of_basis(X0),f11(X1,f1(top_of_basis(X0),f11(X2,union_of_members(top_of_basis(X0)))))))),X3)
      | element_of_collection(f1(top_of_basis(X0),f11(X1,f1(top_of_basis(X0),f11(X2,union_of_members(top_of_basis(X0)))))),top_of_basis(X3)) ),
    inference(resolution,[status(thm)],[f167,f617]) ).

fof(f942,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))),top_of_basis(X2))
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X1))
      | ~ subset_sets(f10(X0,f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))),f11(X2,f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))))),f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))))
      | ~ element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))),f11(X2,f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))))),X2)
      | element_of_collection(f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f167,f705]) ).

fof(f943,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))),top_of_basis(X2))
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X1))
      | ~ subset_sets(f10(X0,f1(top_of_basis(X0),f11(X2,f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))))),f11(X2,f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))))),f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))))
      | ~ element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X2,f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))))),f11(X2,f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))))),X2)
      | element_of_collection(f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f167,f619]) ).

fof(f944,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f1(top_of_basis(X0),f11(X1,f2(top_of_basis(X0),X2))),top_of_basis(X3))
      | element_of_set(X2,intersection_of_members(top_of_basis(X0)))
      | element_of_collection(f2(top_of_basis(X0),X2),top_of_basis(X1))
      | ~ subset_sets(f10(X0,f1(top_of_basis(X0),f11(X1,f2(top_of_basis(X0),X2))),f11(X3,f1(top_of_basis(X0),f11(X1,f2(top_of_basis(X0),X2))))),f1(top_of_basis(X0),f11(X1,f2(top_of_basis(X0),X2))))
      | ~ element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X1,f2(top_of_basis(X0),X2))),f11(X3,f1(top_of_basis(X0),f11(X1,f2(top_of_basis(X0),X2))))),X3)
      | element_of_collection(f1(top_of_basis(X0),f11(X1,f2(top_of_basis(X0),X2))),top_of_basis(X3)) ),
    inference(resolution,[status(thm)],[f167,f607]) ).

fof(f945,plain,
    ! [X0,X1,X2] :
      ( ~ sQ4_spl
      | element_of_collection(f1(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))
      | ~ subset_sets(union_of_members(X0),f1(X0,f11(X1,intersection_of_members(top_of_basis(X0)))))
      | ~ element_of_collection(union_of_members(X0),X2)
      | element_of_collection(f1(X0,f11(X1,intersection_of_members(top_of_basis(X0)))),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f167,f604]) ).

fof(f946,plain,
    ! [X0,X1,X2] :
      ( ~ sQ4_spl
      | element_of_collection(f1(X0,f11(X1,intersection_of_members(X0))),top_of_basis(X2))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1))
      | ~ subset_sets(f1(X0,f11(X2,f1(X0,f11(X1,intersection_of_members(X0))))),f1(X0,f11(X1,intersection_of_members(X0))))
      | ~ element_of_collection(f1(X0,f11(X2,f1(X0,f11(X1,intersection_of_members(X0))))),X2)
      | element_of_collection(f1(X0,f11(X1,intersection_of_members(X0))),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f167,f454]) ).

fof(f947,plain,
    ! [X0,X1,X2] :
      ( ~ sQ4_spl
      | element_of_collection(f1(X0,f11(X1,intersection_of_members(X0))),top_of_basis(X2))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1))
      | ~ subset_sets(union_of_members(X0),f1(X0,f11(X1,intersection_of_members(X0))))
      | ~ element_of_collection(union_of_members(X0),X2)
      | element_of_collection(f1(X0,f11(X1,intersection_of_members(X0))),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f167,f444]) ).

fof(f948,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f1(X0,f11(X1,union_of_members(top_of_basis(X0)))),top_of_basis(X2))
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X1))
      | ~ subset_sets(union_of_members(X0),f1(X0,f11(X1,union_of_members(top_of_basis(X0)))))
      | ~ element_of_collection(union_of_members(X0),X2)
      | element_of_collection(f1(X0,f11(X1,union_of_members(top_of_basis(X0)))),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f167,f726]) ).

fof(f949,plain,
    ! [X0,X1,X2] :
      ( 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))
      | ~ subset_sets(f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))),f1(X0,f11(X1,union_of_members(X0))))
      | ~ element_of_collection(f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))),X2)
      | element_of_collection(f1(X0,f11(X1,union_of_members(X0))),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f167,f394]) ).

fof(f950,plain,
    ! [X0,X1,X2] :
      ( 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))
      | ~ subset_sets(union_of_members(X0),f1(X0,f11(X1,union_of_members(X0))))
      | ~ element_of_collection(union_of_members(X0),X2)
      | element_of_collection(f1(X0,f11(X1,union_of_members(X0))),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f167,f356]) ).

fof(f951,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ4_spl
      | element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,intersection_of_members(X0))))),top_of_basis(X3))
      | element_of_collection(f1(X0,f11(X2,intersection_of_members(X0))),top_of_basis(X1))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X2))
      | ~ subset_sets(f1(X0,f11(X3,f1(X0,f11(X1,f1(X0,f11(X2,intersection_of_members(X0))))))),f1(X0,f11(X1,f1(X0,f11(X2,intersection_of_members(X0))))))
      | ~ element_of_collection(f1(X0,f11(X3,f1(X0,f11(X1,f1(X0,f11(X2,intersection_of_members(X0))))))),X3)
      | element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,intersection_of_members(X0))))),top_of_basis(X3)) ),
    inference(resolution,[status(thm)],[f167,f481]) ).

fof(f952,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ4_spl
      | element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,intersection_of_members(X0))))),top_of_basis(X3))
      | element_of_collection(f1(X0,f11(X2,intersection_of_members(X0))),top_of_basis(X1))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X2))
      | ~ subset_sets(union_of_members(X0),f1(X0,f11(X1,f1(X0,f11(X2,intersection_of_members(X0))))))
      | ~ element_of_collection(union_of_members(X0),X3)
      | element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,intersection_of_members(X0))))),top_of_basis(X3)) ),
    inference(resolution,[status(thm)],[f167,f475]) ).

fof(f953,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,union_of_members(X0))))),top_of_basis(X3))
      | element_of_collection(f1(X0,f11(X2,union_of_members(X0))),top_of_basis(X1))
      | element_of_collection(union_of_members(X0),top_of_basis(X2))
      | ~ subset_sets(f1(X0,f11(X3,f1(X0,f11(X1,f1(X0,f11(X2,union_of_members(X0))))))),f1(X0,f11(X1,f1(X0,f11(X2,union_of_members(X0))))))
      | ~ element_of_collection(f1(X0,f11(X3,f1(X0,f11(X1,f1(X0,f11(X2,union_of_members(X0))))))),X3)
      | element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,union_of_members(X0))))),top_of_basis(X3)) ),
    inference(resolution,[status(thm)],[f167,f463]) ).

fof(f954,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,union_of_members(X0))))),top_of_basis(X3))
      | element_of_collection(f1(X0,f11(X2,union_of_members(X0))),top_of_basis(X1))
      | element_of_collection(union_of_members(X0),top_of_basis(X2))
      | ~ subset_sets(union_of_members(X0),f1(X0,f11(X1,f1(X0,f11(X2,union_of_members(X0))))))
      | ~ element_of_collection(union_of_members(X0),X3)
      | element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,union_of_members(X0))))),top_of_basis(X3)) ),
    inference(resolution,[status(thm)],[f167,f458]) ).

fof(f955,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ4_spl
      | element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,intersection_of_members(X0))))))),top_of_basis(X4))
      | element_of_collection(f1(X0,f11(X2,f1(X0,f11(X3,intersection_of_members(X0))))),top_of_basis(X1))
      | element_of_collection(f1(X0,f11(X3,intersection_of_members(X0))),top_of_basis(X2))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X3))
      | ~ subset_sets(f1(X0,f11(X4,f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,intersection_of_members(X0))))))))),f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,intersection_of_members(X0))))))))
      | ~ element_of_collection(f1(X0,f11(X4,f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,intersection_of_members(X0))))))))),X4)
      | element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,intersection_of_members(X0))))))),top_of_basis(X4)) ),
    inference(resolution,[status(thm)],[f167,f492]) ).

fof(f956,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ4_spl
      | element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,intersection_of_members(X0))))))),top_of_basis(X4))
      | element_of_collection(f1(X0,f11(X2,f1(X0,f11(X3,intersection_of_members(X0))))),top_of_basis(X1))
      | element_of_collection(f1(X0,f11(X3,intersection_of_members(X0))),top_of_basis(X2))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X3))
      | ~ subset_sets(union_of_members(X0),f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,intersection_of_members(X0))))))))
      | ~ element_of_collection(union_of_members(X0),X4)
      | element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,intersection_of_members(X0))))))),top_of_basis(X4)) ),
    inference(resolution,[status(thm)],[f167,f484]) ).

fof(f957,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,union_of_members(X0))))))),top_of_basis(X4))
      | element_of_collection(f1(X0,f11(X2,f1(X0,f11(X3,union_of_members(X0))))),top_of_basis(X1))
      | element_of_collection(f1(X0,f11(X3,union_of_members(X0))),top_of_basis(X2))
      | element_of_collection(union_of_members(X0),top_of_basis(X3))
      | ~ subset_sets(f1(X0,f11(X4,f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,union_of_members(X0))))))))),f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,union_of_members(X0))))))))
      | ~ element_of_collection(f1(X0,f11(X4,f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,union_of_members(X0))))))))),X4)
      | element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,union_of_members(X0))))))),top_of_basis(X4)) ),
    inference(resolution,[status(thm)],[f167,f474]) ).

fof(f958,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,union_of_members(X0))))))),top_of_basis(X4))
      | element_of_collection(f1(X0,f11(X2,f1(X0,f11(X3,union_of_members(X0))))),top_of_basis(X1))
      | element_of_collection(f1(X0,f11(X3,union_of_members(X0))),top_of_basis(X2))
      | element_of_collection(union_of_members(X0),top_of_basis(X3))
      | ~ subset_sets(union_of_members(X0),f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,union_of_members(X0))))))))
      | ~ element_of_collection(union_of_members(X0),X4)
      | element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,union_of_members(X0))))))),top_of_basis(X4)) ),
    inference(resolution,[status(thm)],[f167,f470]) ).

fof(f959,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ4_spl
      | element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,intersection_of_members(X0))))))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,intersection_of_members(X0))))))),top_of_basis(X1))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X4,intersection_of_members(X0))))),top_of_basis(X2))
      | element_of_collection(f1(X0,f11(X4,intersection_of_members(X0))),top_of_basis(X3))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X4))
      | ~ subset_sets(f1(X0,f11(X5,f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,intersection_of_members(X0))))))))))),f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,intersection_of_members(X0))))))))))
      | ~ element_of_collection(f1(X0,f11(X5,f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,intersection_of_members(X0))))))))))),X5)
      | element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,intersection_of_members(X0))))))))),top_of_basis(X5)) ),
    inference(resolution,[status(thm)],[f167,f512]) ).

fof(f960,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ4_spl
      | element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,intersection_of_members(X0))))))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,intersection_of_members(X0))))))),top_of_basis(X1))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X4,intersection_of_members(X0))))),top_of_basis(X2))
      | element_of_collection(f1(X0,f11(X4,intersection_of_members(X0))),top_of_basis(X3))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X4))
      | ~ subset_sets(union_of_members(X0),f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,intersection_of_members(X0))))))))))
      | ~ element_of_collection(union_of_members(X0),X5)
      | element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,intersection_of_members(X0))))))))),top_of_basis(X5)) ),
    inference(resolution,[status(thm)],[f167,f498]) ).

fof(f961,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,union_of_members(X0))))))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,union_of_members(X0))))))),top_of_basis(X1))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X4,union_of_members(X0))))),top_of_basis(X2))
      | element_of_collection(f1(X0,f11(X4,union_of_members(X0))),top_of_basis(X3))
      | element_of_collection(union_of_members(X0),top_of_basis(X4))
      | ~ subset_sets(f1(X0,f11(X5,f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,union_of_members(X0))))))))))),f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,union_of_members(X0))))))))))
      | ~ element_of_collection(f1(X0,f11(X5,f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,union_of_members(X0))))))))))),X5)
      | element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,union_of_members(X0))))))))),top_of_basis(X5)) ),
    inference(resolution,[status(thm)],[f167,f510]) ).

fof(f962,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,union_of_members(X0))))))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,union_of_members(X0))))))),top_of_basis(X1))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X4,union_of_members(X0))))),top_of_basis(X2))
      | element_of_collection(f1(X0,f11(X4,union_of_members(X0))),top_of_basis(X3))
      | element_of_collection(union_of_members(X0),top_of_basis(X4))
      | ~ subset_sets(union_of_members(X0),f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,union_of_members(X0))))))))))
      | ~ element_of_collection(union_of_members(X0),X5)
      | element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,union_of_members(X0))))))))),top_of_basis(X5)) ),
    inference(resolution,[status(thm)],[f167,f497]) ).

fof(f963,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,union_of_members(X0))))))))))),top_of_basis(X6))
      | element_of_collection(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,union_of_members(X0))))))))),top_of_basis(X1))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,union_of_members(X0))))))),top_of_basis(X2))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X5,union_of_members(X0))))),top_of_basis(X3))
      | element_of_collection(f1(X0,f11(X5,union_of_members(X0))),top_of_basis(X4))
      | element_of_collection(union_of_members(X0),top_of_basis(X5))
      | ~ subset_sets(f1(X0,f11(X6,f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,union_of_members(X0))))))))))))),f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,union_of_members(X0))))))))))))
      | ~ element_of_collection(f1(X0,f11(X6,f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,union_of_members(X0))))))))))))),X6)
      | element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,union_of_members(X0))))))))))),top_of_basis(X6)) ),
    inference(resolution,[status(thm)],[f167,f523]) ).

fof(f964,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,union_of_members(X0))))))))))),top_of_basis(X6))
      | element_of_collection(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,union_of_members(X0))))))))),top_of_basis(X1))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,union_of_members(X0))))))),top_of_basis(X2))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X5,union_of_members(X0))))),top_of_basis(X3))
      | element_of_collection(f1(X0,f11(X5,union_of_members(X0))),top_of_basis(X4))
      | element_of_collection(union_of_members(X0),top_of_basis(X5))
      | ~ subset_sets(union_of_members(X0),f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,union_of_members(X0))))))))))))
      | ~ element_of_collection(union_of_members(X0),X6)
      | element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,union_of_members(X0))))))))))),top_of_basis(X6)) ),
    inference(resolution,[status(thm)],[f167,f517]) ).

fof(f965,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,union_of_members(X0))))))))))))),top_of_basis(X7))
      | element_of_collection(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,union_of_members(X0))))))))))),top_of_basis(X1))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,union_of_members(X0))))))))),top_of_basis(X2))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,union_of_members(X0))))))),top_of_basis(X3))
      | element_of_collection(f1(X0,f11(X5,f1(X0,f11(X6,union_of_members(X0))))),top_of_basis(X4))
      | element_of_collection(f1(X0,f11(X6,union_of_members(X0))),top_of_basis(X5))
      | element_of_collection(union_of_members(X0),top_of_basis(X6))
      | ~ subset_sets(union_of_members(X0),f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,union_of_members(X0))))))))))))))
      | ~ element_of_collection(union_of_members(X0),X7)
      | element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,union_of_members(X0))))))))))))),top_of_basis(X7)) ),
    inference(resolution,[status(thm)],[f167,f530]) ).

fof(f966,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,f1(X0,f11(X8,f2(X0,X9))))))))))))))))),top_of_basis(X10))
      | element_of_collection(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,f1(X0,f11(X8,f2(X0,X9))))))))))))))),top_of_basis(X1))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,f1(X0,f11(X8,f2(X0,X9))))))))))))),top_of_basis(X2))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,f1(X0,f11(X8,f2(X0,X9))))))))))),top_of_basis(X3))
      | element_of_collection(f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,f1(X0,f11(X8,f2(X0,X9))))))))),top_of_basis(X4))
      | element_of_collection(f1(X0,f11(X6,f1(X0,f11(X7,f1(X0,f11(X8,f2(X0,X9))))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X7,f1(X0,f11(X8,f2(X0,X9))))),top_of_basis(X6))
      | element_of_collection(f1(X0,f11(X8,f2(X0,X9))),top_of_basis(X7))
      | element_of_set(X9,intersection_of_members(X0))
      | element_of_collection(f2(X0,X9),top_of_basis(X8))
      | ~ subset_sets(union_of_members(X0),f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,f1(X0,f11(X8,f2(X0,X9))))))))))))))))))
      | ~ element_of_collection(union_of_members(X0),X10)
      | element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,f1(X0,f11(X8,f2(X0,X9))))))))))))))))),top_of_basis(X10)) ),
    inference(resolution,[status(thm)],[f167,f340]) ).

fof(f967,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,f2(X0,X8))))))))))))))),top_of_basis(X9))
      | element_of_collection(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,f2(X0,X8))))))))))))),top_of_basis(X1))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,f2(X0,X8))))))))))),top_of_basis(X2))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,f2(X0,X8))))))))),top_of_basis(X3))
      | element_of_collection(f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,f2(X0,X8))))))),top_of_basis(X4))
      | element_of_collection(f1(X0,f11(X6,f1(X0,f11(X7,f2(X0,X8))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X7,f2(X0,X8))),top_of_basis(X6))
      | element_of_set(X8,intersection_of_members(X0))
      | element_of_collection(f2(X0,X8),top_of_basis(X7))
      | ~ subset_sets(f1(X0,f11(X9,f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,f2(X0,X8))))))))))))))))),f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,f2(X0,X8))))))))))))))))
      | ~ element_of_collection(f1(X0,f11(X9,f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,f2(X0,X8))))))))))))))))),X9)
      | element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,f2(X0,X8))))))))))))))),top_of_basis(X9)) ),
    inference(resolution,[status(thm)],[f167,f337]) ).

fof(f968,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,f2(X0,X8))))))))))))))),top_of_basis(X9))
      | element_of_collection(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,f2(X0,X8))))))))))))),top_of_basis(X1))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,f2(X0,X8))))))))))),top_of_basis(X2))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,f2(X0,X8))))))))),top_of_basis(X3))
      | element_of_collection(f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,f2(X0,X8))))))),top_of_basis(X4))
      | element_of_collection(f1(X0,f11(X6,f1(X0,f11(X7,f2(X0,X8))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X7,f2(X0,X8))),top_of_basis(X6))
      | element_of_set(X8,intersection_of_members(X0))
      | element_of_collection(f2(X0,X8),top_of_basis(X7))
      | ~ subset_sets(union_of_members(X0),f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,f2(X0,X8))))))))))))))))
      | ~ element_of_collection(union_of_members(X0),X9)
      | element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,f2(X0,X8))))))))))))))),top_of_basis(X9)) ),
    inference(resolution,[status(thm)],[f167,f334]) ).

fof(f969,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f2(X0,X7))))))))))))),top_of_basis(X8))
      | element_of_collection(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f2(X0,X7))))))))))),top_of_basis(X1))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f2(X0,X7))))))))),top_of_basis(X2))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f2(X0,X7))))))),top_of_basis(X3))
      | element_of_collection(f1(X0,f11(X5,f1(X0,f11(X6,f2(X0,X7))))),top_of_basis(X4))
      | element_of_collection(f1(X0,f11(X6,f2(X0,X7))),top_of_basis(X5))
      | element_of_set(X7,intersection_of_members(X0))
      | element_of_collection(f2(X0,X7),top_of_basis(X6))
      | ~ subset_sets(f1(X0,f11(X8,f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f2(X0,X7))))))))))))))),f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f2(X0,X7))))))))))))))
      | ~ element_of_collection(f1(X0,f11(X8,f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f2(X0,X7))))))))))))))),X8)
      | element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f2(X0,X7))))))))))))),top_of_basis(X8)) ),
    inference(resolution,[status(thm)],[f167,f331]) ).

fof(f970,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f2(X0,X7))))))))))))),top_of_basis(X8))
      | element_of_collection(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f2(X0,X7))))))))))),top_of_basis(X1))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f2(X0,X7))))))))),top_of_basis(X2))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f2(X0,X7))))))),top_of_basis(X3))
      | element_of_collection(f1(X0,f11(X5,f1(X0,f11(X6,f2(X0,X7))))),top_of_basis(X4))
      | element_of_collection(f1(X0,f11(X6,f2(X0,X7))),top_of_basis(X5))
      | element_of_set(X7,intersection_of_members(X0))
      | element_of_collection(f2(X0,X7),top_of_basis(X6))
      | ~ subset_sets(union_of_members(X0),f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f2(X0,X7))))))))))))))
      | ~ element_of_collection(union_of_members(X0),X8)
      | element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f2(X0,X7))))))))))))),top_of_basis(X8)) ),
    inference(resolution,[status(thm)],[f167,f327]) ).

fof(f971,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f2(X0,X6))))))))))),top_of_basis(X7))
      | element_of_collection(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f2(X0,X6))))))))),top_of_basis(X1))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f2(X0,X6))))))),top_of_basis(X2))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X5,f2(X0,X6))))),top_of_basis(X3))
      | element_of_collection(f1(X0,f11(X5,f2(X0,X6))),top_of_basis(X4))
      | element_of_set(X6,intersection_of_members(X0))
      | element_of_collection(f2(X0,X6),top_of_basis(X5))
      | ~ subset_sets(f1(X0,f11(X7,f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f2(X0,X6))))))))))))),f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f2(X0,X6))))))))))))
      | ~ element_of_collection(f1(X0,f11(X7,f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f2(X0,X6))))))))))))),X7)
      | element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f2(X0,X6))))))))))),top_of_basis(X7)) ),
    inference(resolution,[status(thm)],[f167,f325]) ).

fof(f972,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f2(X0,X6))))))))))),top_of_basis(X7))
      | element_of_collection(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f2(X0,X6))))))))),top_of_basis(X1))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f2(X0,X6))))))),top_of_basis(X2))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X5,f2(X0,X6))))),top_of_basis(X3))
      | element_of_collection(f1(X0,f11(X5,f2(X0,X6))),top_of_basis(X4))
      | element_of_set(X6,intersection_of_members(X0))
      | element_of_collection(f2(X0,X6),top_of_basis(X5))
      | ~ subset_sets(union_of_members(X0),f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f2(X0,X6))))))))))))
      | ~ element_of_collection(union_of_members(X0),X7)
      | element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f2(X0,X6))))))))))),top_of_basis(X7)) ),
    inference(resolution,[status(thm)],[f167,f321]) ).

fof(f973,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f2(X0,X5))))))))),top_of_basis(X6))
      | element_of_collection(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f2(X0,X5))))))),top_of_basis(X1))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X4,f2(X0,X5))))),top_of_basis(X2))
      | element_of_collection(f1(X0,f11(X4,f2(X0,X5))),top_of_basis(X3))
      | element_of_set(X5,intersection_of_members(X0))
      | element_of_collection(f2(X0,X5),top_of_basis(X4))
      | ~ subset_sets(f1(X0,f11(X6,f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f2(X0,X5))))))))))),f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f2(X0,X5))))))))))
      | ~ element_of_collection(f1(X0,f11(X6,f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f2(X0,X5))))))))))),X6)
      | element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f2(X0,X5))))))))),top_of_basis(X6)) ),
    inference(resolution,[status(thm)],[f167,f319]) ).

fof(f974,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f2(X0,X5))))))))),top_of_basis(X6))
      | element_of_collection(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f2(X0,X5))))))),top_of_basis(X1))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X4,f2(X0,X5))))),top_of_basis(X2))
      | element_of_collection(f1(X0,f11(X4,f2(X0,X5))),top_of_basis(X3))
      | element_of_set(X5,intersection_of_members(X0))
      | element_of_collection(f2(X0,X5),top_of_basis(X4))
      | ~ subset_sets(union_of_members(X0),f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f2(X0,X5))))))))))
      | ~ element_of_collection(union_of_members(X0),X6)
      | element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f2(X0,X5))))))))),top_of_basis(X6)) ),
    inference(resolution,[status(thm)],[f167,f315]) ).

fof(f975,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f2(X0,X4))))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X2,f1(X0,f11(X3,f2(X0,X4))))),top_of_basis(X1))
      | element_of_collection(f1(X0,f11(X3,f2(X0,X4))),top_of_basis(X2))
      | element_of_set(X4,intersection_of_members(X0))
      | element_of_collection(f2(X0,X4),top_of_basis(X3))
      | ~ subset_sets(f1(X0,f11(X5,f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f2(X0,X4))))))))),f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f2(X0,X4))))))))
      | ~ element_of_collection(f1(X0,f11(X5,f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f2(X0,X4))))))))),X5)
      | element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f2(X0,X4))))))),top_of_basis(X5)) ),
    inference(resolution,[status(thm)],[f167,f313]) ).

fof(f976,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f2(X0,X4))))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X2,f1(X0,f11(X3,f2(X0,X4))))),top_of_basis(X1))
      | element_of_collection(f1(X0,f11(X3,f2(X0,X4))),top_of_basis(X2))
      | element_of_set(X4,intersection_of_members(X0))
      | element_of_collection(f2(X0,X4),top_of_basis(X3))
      | ~ subset_sets(union_of_members(X0),f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f2(X0,X4))))))))
      | ~ element_of_collection(union_of_members(X0),X5)
      | element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f2(X0,X4))))))),top_of_basis(X5)) ),
    inference(resolution,[status(thm)],[f167,f309]) ).

fof(f977,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f2(X0,X3))))),top_of_basis(X4))
      | element_of_collection(f1(X0,f11(X2,f2(X0,X3))),top_of_basis(X1))
      | element_of_set(X3,intersection_of_members(X0))
      | element_of_collection(f2(X0,X3),top_of_basis(X2))
      | ~ subset_sets(f1(X0,f11(X4,f1(X0,f11(X1,f1(X0,f11(X2,f2(X0,X3))))))),f1(X0,f11(X1,f1(X0,f11(X2,f2(X0,X3))))))
      | ~ element_of_collection(f1(X0,f11(X4,f1(X0,f11(X1,f1(X0,f11(X2,f2(X0,X3))))))),X4)
      | element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f2(X0,X3))))),top_of_basis(X4)) ),
    inference(resolution,[status(thm)],[f167,f307]) ).

fof(f978,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f2(X0,X3))))),top_of_basis(X4))
      | element_of_collection(f1(X0,f11(X2,f2(X0,X3))),top_of_basis(X1))
      | element_of_set(X3,intersection_of_members(X0))
      | element_of_collection(f2(X0,X3),top_of_basis(X2))
      | ~ subset_sets(union_of_members(X0),f1(X0,f11(X1,f1(X0,f11(X2,f2(X0,X3))))))
      | ~ element_of_collection(union_of_members(X0),X4)
      | element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f2(X0,X3))))),top_of_basis(X4)) ),
    inference(resolution,[status(thm)],[f167,f304]) ).

fof(f979,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f1(X0,f11(X1,f2(X0,X2))),top_of_basis(X3))
      | element_of_set(X2,intersection_of_members(X0))
      | element_of_collection(f2(X0,X2),top_of_basis(X1))
      | ~ subset_sets(f1(X0,f11(X3,f1(X0,f11(X1,f2(X0,X2))))),f1(X0,f11(X1,f2(X0,X2))))
      | ~ element_of_collection(f1(X0,f11(X3,f1(X0,f11(X1,f2(X0,X2))))),X3)
      | element_of_collection(f1(X0,f11(X1,f2(X0,X2))),top_of_basis(X3)) ),
    inference(resolution,[status(thm)],[f167,f301]) ).

fof(f980,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f1(X0,f11(X1,f2(X0,X2))),top_of_basis(X3))
      | element_of_set(X2,intersection_of_members(X0))
      | element_of_collection(f2(X0,X2),top_of_basis(X1))
      | ~ subset_sets(union_of_members(X0),f1(X0,f11(X1,f2(X0,X2))))
      | ~ element_of_collection(union_of_members(X0),X3)
      | element_of_collection(f1(X0,f11(X1,f2(X0,X2))),top_of_basis(X3)) ),
    inference(resolution,[status(thm)],[f167,f298]) ).

fof(f981,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f2(top_of_basis(X0),X1),top_of_basis(X2))
      | element_of_set(X1,intersection_of_members(top_of_basis(X0)))
      | ~ subset_sets(f10(X0,f2(top_of_basis(X0),X1),f11(X2,f2(top_of_basis(X0),X1))),f2(top_of_basis(X0),X1))
      | ~ element_of_collection(f10(X0,f2(top_of_basis(X0),X1),f11(X2,f2(top_of_basis(X0),X1))),X2)
      | element_of_collection(f2(top_of_basis(X0),X1),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f167,f682]) ).

fof(f982,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X1,intersection_of_members(top_of_basis(X0)))
      | element_of_collection(f2(top_of_basis(X0),X1),top_of_basis(X2))
      | ~ subset_sets(f10(X0,f1(top_of_basis(X0),f11(X2,f2(top_of_basis(X0),X1))),f11(X2,f2(top_of_basis(X0),X1))),f2(top_of_basis(X0),X1))
      | ~ element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X2,f2(top_of_basis(X0),X1))),f11(X2,f2(top_of_basis(X0),X1))),X2)
      | element_of_collection(f2(top_of_basis(X0),X1),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f167,f609]) ).

fof(f983,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X1,intersection_of_members(X0))
      | element_of_collection(f2(X0,X1),top_of_basis(X2))
      | ~ subset_sets(f1(X0,f11(X2,f2(X0,X1))),f2(X0,X1))
      | ~ element_of_collection(f1(X0,f11(X2,f2(X0,X1))),X2)
      | element_of_collection(f2(X0,X1),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f167,f295]) ).

fof(f984,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X1,intersection_of_members(X0))
      | element_of_collection(f2(X0,X1),top_of_basis(X2))
      | ~ subset_sets(union_of_members(X0),f2(X0,X1))
      | ~ element_of_collection(union_of_members(X0),X2)
      | element_of_collection(f2(X0,X1),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f167,f290]) ).

fof(f985,plain,
    ! [X0,X1] :
      ( element_of_collection(X0,top_of_basis(X1))
      | ~ subset_sets(X0,X0)
      | ~ element_of_collection(X0,X1)
      | element_of_collection(X0,top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f167,f165]) ).

fof(f986,plain,
    ! [X0,X1] :
      ( ~ sQ4_spl
      | ~ subset_sets(f1(X0,f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))),intersection_of_members(top_of_basis(top_of_basis(X0))))
      | ~ element_of_collection(f1(X0,f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))),X1)
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f901]) ).

fof(f987,plain,
    ! [X0,X1] :
      ( ~ sQ4_spl
      | ~ subset_sets(union_of_members(X0),intersection_of_members(top_of_basis(top_of_basis(X0))))
      | ~ element_of_collection(union_of_members(X0),X1)
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f902]) ).

fof(f988,plain,
    ! [X0,X1] :
      ( ~ sQ4_spl
      | ~ subset_sets(f10(X0,f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))),f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))),intersection_of_members(top_of_basis(top_of_basis(X0))))
      | ~ element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))),f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))),X1)
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f903]) ).

fof(f989,plain,
    ! [X0,X1] :
      ( ~ sQ4_spl
      | ~ subset_sets(f1(X0,f11(X1,intersection_of_members(top_of_basis(X0)))),intersection_of_members(top_of_basis(X0)))
      | ~ element_of_collection(f1(X0,f11(X1,intersection_of_members(top_of_basis(X0)))),X1)
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f904]) ).

fof(f990,plain,
    ! [X0,X1] :
      ( ~ sQ4_spl
      | ~ subset_sets(union_of_members(X0),intersection_of_members(top_of_basis(X0)))
      | ~ element_of_collection(union_of_members(X0),X1)
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f905]) ).

fof(f991,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(top_of_basis(X0)))
      | ~ subset_sets(f10(X0,f2(top_of_basis(X0),X2),f11(X1,intersection_of_members(top_of_basis(X0)))),intersection_of_members(top_of_basis(X0)))
      | ~ element_of_collection(f10(X0,f2(top_of_basis(X0),X2),f11(X1,intersection_of_members(top_of_basis(X0)))),X1)
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f906]) ).

fof(f992,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X2))
      | ~ subset_sets(f10(X0,f1(top_of_basis(X0),f11(X2,union_of_members(top_of_basis(X0)))),f11(X1,intersection_of_members(top_of_basis(X0)))),intersection_of_members(top_of_basis(X0)))
      | ~ element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X2,union_of_members(top_of_basis(X0)))),f11(X1,intersection_of_members(top_of_basis(X0)))),X1)
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f907]) ).

fof(f993,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f1(top_of_basis(X0),f11(X3,union_of_members(top_of_basis(X0)))),top_of_basis(X2))
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X3))
      | ~ subset_sets(f10(X0,f1(top_of_basis(X0),f11(X2,f1(top_of_basis(X0),f11(X3,union_of_members(top_of_basis(X0)))))),f11(X1,intersection_of_members(top_of_basis(X0)))),intersection_of_members(top_of_basis(X0)))
      | ~ element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X2,f1(top_of_basis(X0),f11(X3,union_of_members(top_of_basis(X0)))))),f11(X1,intersection_of_members(top_of_basis(X0)))),X1)
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f908]) ).

fof(f994,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(top_of_basis(X0)))
      | element_of_collection(f2(top_of_basis(X0),X3),top_of_basis(X2))
      | ~ subset_sets(f10(X0,f1(top_of_basis(X0),f11(X2,f2(top_of_basis(X0),X3))),f11(X1,intersection_of_members(top_of_basis(X0)))),intersection_of_members(top_of_basis(X0)))
      | ~ element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X2,f2(top_of_basis(X0),X3))),f11(X1,intersection_of_members(top_of_basis(X0)))),X1)
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f909]) ).

fof(f995,plain,
    ! [X0,X1] :
      ( ~ sQ4_spl
      | ~ subset_sets(f10(X0,f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(X0)))),f11(X1,intersection_of_members(top_of_basis(X0)))),intersection_of_members(top_of_basis(X0)))
      | ~ element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(X0)))),f11(X1,intersection_of_members(top_of_basis(X0)))),X1)
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f910]) ).

fof(f996,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X3))
      | element_of_set(X2,intersection_of_members(top_of_basis(X0)))
      | ~ subset_sets(f10(X0,f2(top_of_basis(X0),X2),f11(X3,intersection_of_members(top_of_basis(X0)))),intersection_of_members(X0))
      | ~ element_of_collection(f10(X0,f2(top_of_basis(X0),X2),f11(X3,intersection_of_members(top_of_basis(X0)))),X1)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f911]) ).

fof(f997,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f2(top_of_basis(X0),X2),top_of_basis(X3))
      | element_of_set(X2,intersection_of_members(top_of_basis(X0)))
      | ~ subset_sets(f10(X0,f2(top_of_basis(X0),X2),f11(X3,f2(top_of_basis(X0),X2))),intersection_of_members(X0))
      | ~ element_of_collection(f10(X0,f2(top_of_basis(X0),X2),f11(X3,f2(top_of_basis(X0),X2))),X1)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f912]) ).

fof(f998,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X2))
      | ~ subset_sets(f10(X0,f1(top_of_basis(X0),f11(X2,union_of_members(top_of_basis(X0)))),f11(X2,union_of_members(top_of_basis(X0)))),intersection_of_members(X0))
      | ~ element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X2,union_of_members(top_of_basis(X0)))),f11(X2,union_of_members(top_of_basis(X0)))),X1)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f913]) ).

fof(f999,plain,
    ! [X0,X1,X2] :
      ( ~ sQ4_spl
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X2))
      | ~ subset_sets(f10(X0,f1(top_of_basis(X0),f11(X2,intersection_of_members(top_of_basis(X0)))),f11(X2,intersection_of_members(top_of_basis(X0)))),intersection_of_members(X0))
      | ~ element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X2,intersection_of_members(top_of_basis(X0)))),f11(X2,intersection_of_members(top_of_basis(X0)))),X1)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f914]) ).

fof(f1000,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ4_spl
      | element_of_collection(f1(X0,f11(X3,intersection_of_members(X0))),top_of_basis(X2))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X3))
      | ~ subset_sets(f1(X0,f11(X2,f1(X0,f11(X3,intersection_of_members(X0))))),intersection_of_members(X0))
      | ~ element_of_collection(f1(X0,f11(X2,f1(X0,f11(X3,intersection_of_members(X0))))),X1)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f915]) ).

fof(f1001,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( element_of_collection(f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,f2(X0,X8))))))))))),top_of_basis(X2))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,f2(X0,X8))))))))),top_of_basis(X3))
      | element_of_collection(f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,f2(X0,X8))))))),top_of_basis(X4))
      | element_of_collection(f1(X0,f11(X6,f1(X0,f11(X7,f2(X0,X8))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X7,f2(X0,X8))),top_of_basis(X6))
      | element_of_set(X8,intersection_of_members(X0))
      | element_of_collection(f2(X0,X8),top_of_basis(X7))
      | ~ subset_sets(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,f2(X0,X8))))))))))))),intersection_of_members(X0))
      | ~ element_of_collection(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,f2(X0,X8))))))))))))),X1)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f916]) ).

fof(f1002,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( element_of_collection(f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,union_of_members(X0))))))))))),top_of_basis(X2))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,union_of_members(X0))))))))),top_of_basis(X3))
      | element_of_collection(f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,union_of_members(X0))))))),top_of_basis(X4))
      | element_of_collection(f1(X0,f11(X6,f1(X0,f11(X7,union_of_members(X0))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X7,union_of_members(X0))),top_of_basis(X6))
      | element_of_collection(union_of_members(X0),top_of_basis(X7))
      | ~ subset_sets(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,union_of_members(X0))))))))))))),intersection_of_members(X0))
      | ~ element_of_collection(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,union_of_members(X0))))))))))))),X1)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f917]) ).

fof(f1003,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( element_of_collection(f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f2(X0,X7))))))))),top_of_basis(X2))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f2(X0,X7))))))),top_of_basis(X3))
      | element_of_collection(f1(X0,f11(X5,f1(X0,f11(X6,f2(X0,X7))))),top_of_basis(X4))
      | element_of_collection(f1(X0,f11(X6,f2(X0,X7))),top_of_basis(X5))
      | element_of_set(X7,intersection_of_members(X0))
      | element_of_collection(f2(X0,X7),top_of_basis(X6))
      | ~ subset_sets(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f2(X0,X7))))))))))),intersection_of_members(X0))
      | ~ element_of_collection(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f2(X0,X7))))))))))),X1)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f918]) ).

fof(f1004,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_collection(f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,union_of_members(X0))))))))),top_of_basis(X2))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,union_of_members(X0))))))),top_of_basis(X3))
      | element_of_collection(f1(X0,f11(X5,f1(X0,f11(X6,union_of_members(X0))))),top_of_basis(X4))
      | element_of_collection(f1(X0,f11(X6,union_of_members(X0))),top_of_basis(X5))
      | element_of_collection(union_of_members(X0),top_of_basis(X6))
      | ~ subset_sets(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,union_of_members(X0))))))))))),intersection_of_members(X0))
      | ~ element_of_collection(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,union_of_members(X0))))))))))),X1)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f919]) ).

fof(f1005,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_collection(f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f2(X0,X6))))))),top_of_basis(X2))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X5,f2(X0,X6))))),top_of_basis(X3))
      | element_of_collection(f1(X0,f11(X5,f2(X0,X6))),top_of_basis(X4))
      | element_of_set(X6,intersection_of_members(X0))
      | element_of_collection(f2(X0,X6),top_of_basis(X5))
      | ~ subset_sets(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f2(X0,X6))))))))),intersection_of_members(X0))
      | ~ element_of_collection(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f2(X0,X6))))))))),X1)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f920]) ).

fof(f1006,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ4_spl
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,intersection_of_members(X0))))))),top_of_basis(X2))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X5,intersection_of_members(X0))))),top_of_basis(X3))
      | element_of_collection(f1(X0,f11(X5,intersection_of_members(X0))),top_of_basis(X4))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X5))
      | ~ subset_sets(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,intersection_of_members(X0))))))))),intersection_of_members(X0))
      | ~ element_of_collection(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,intersection_of_members(X0))))))))),X1)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f921]) ).

fof(f1007,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,union_of_members(X0))))))),top_of_basis(X2))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X5,union_of_members(X0))))),top_of_basis(X3))
      | element_of_collection(f1(X0,f11(X5,union_of_members(X0))),top_of_basis(X4))
      | element_of_collection(union_of_members(X0),top_of_basis(X5))
      | ~ subset_sets(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,union_of_members(X0))))))))),intersection_of_members(X0))
      | ~ element_of_collection(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,union_of_members(X0))))))))),X1)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f922]) ).

fof(f1008,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(f1(X0,f11(X3,f1(X0,f11(X4,f2(X0,X5))))),top_of_basis(X2))
      | element_of_collection(f1(X0,f11(X4,f2(X0,X5))),top_of_basis(X3))
      | element_of_set(X5,intersection_of_members(X0))
      | element_of_collection(f2(X0,X5),top_of_basis(X4))
      | ~ subset_sets(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f2(X0,X5))))))),intersection_of_members(X0))
      | ~ element_of_collection(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f2(X0,X5))))))),X1)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f923]) ).

fof(f1009,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ4_spl
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X4,intersection_of_members(X0))))),top_of_basis(X2))
      | element_of_collection(f1(X0,f11(X4,intersection_of_members(X0))),top_of_basis(X3))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X4))
      | ~ subset_sets(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,intersection_of_members(X0))))))),intersection_of_members(X0))
      | ~ element_of_collection(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,intersection_of_members(X0))))))),X1)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f924]) ).

fof(f1010,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f1(X0,f11(X3,f1(X0,f11(X4,union_of_members(X0))))),top_of_basis(X2))
      | element_of_collection(f1(X0,f11(X4,union_of_members(X0))),top_of_basis(X3))
      | element_of_collection(union_of_members(X0),top_of_basis(X4))
      | ~ subset_sets(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,union_of_members(X0))))))),intersection_of_members(X0))
      | ~ element_of_collection(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,union_of_members(X0))))))),X1)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f925]) ).

fof(f1011,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f1(X0,f11(X3,f2(X0,X4))),top_of_basis(X2))
      | element_of_set(X4,intersection_of_members(X0))
      | element_of_collection(f2(X0,X4),top_of_basis(X3))
      | ~ subset_sets(f1(X0,f11(X2,f1(X0,f11(X3,f2(X0,X4))))),intersection_of_members(X0))
      | ~ element_of_collection(f1(X0,f11(X2,f1(X0,f11(X3,f2(X0,X4))))),X1)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f926]) ).

fof(f1012,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f1(X0,f11(X3,union_of_members(X0))),top_of_basis(X2))
      | element_of_collection(union_of_members(X0),top_of_basis(X3))
      | ~ subset_sets(f1(X0,f11(X2,f1(X0,f11(X3,union_of_members(X0))))),intersection_of_members(X0))
      | ~ element_of_collection(f1(X0,f11(X2,f1(X0,f11(X3,union_of_members(X0))))),X1)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f927]) ).

fof(f1013,plain,
    ! [X0,X1,X2] :
      ( ~ sQ4_spl
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X2))
      | ~ subset_sets(f1(X0,f11(X2,intersection_of_members(top_of_basis(top_of_basis(X0))))),intersection_of_members(X0))
      | ~ element_of_collection(f1(X0,f11(X2,intersection_of_members(top_of_basis(top_of_basis(X0))))),X1)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f928]) ).

fof(f1014,plain,
    ! [X0,X1,X2] :
      ( ~ sQ4_spl
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X2))
      | ~ subset_sets(f1(X0,f11(X2,intersection_of_members(top_of_basis(X0)))),intersection_of_members(X0))
      | ~ element_of_collection(f1(X0,f11(X2,intersection_of_members(top_of_basis(X0)))),X1)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f929]) ).

fof(f1015,plain,
    ! [X0,X1,X2] :
      ( ~ sQ4_spl
      | element_of_collection(intersection_of_members(X0),top_of_basis(X2))
      | ~ subset_sets(f1(X0,f11(X2,intersection_of_members(X0))),intersection_of_members(X0))
      | ~ element_of_collection(f1(X0,f11(X2,intersection_of_members(X0))),X1)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f930]) ).

fof(f1016,plain,
    ! [X0,X1] :
      ( ~ sQ4_spl
      | ~ subset_sets(f1(X0,f11(X1,intersection_of_members(X0))),intersection_of_members(X0))
      | ~ element_of_collection(f1(X0,f11(X1,intersection_of_members(X0))),X1)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f931]) ).

fof(f1017,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(X0))
      | element_of_collection(f2(X0,X3),top_of_basis(X2))
      | ~ subset_sets(f1(X0,f11(X2,f2(X0,X3))),intersection_of_members(X0))
      | ~ element_of_collection(f1(X0,f11(X2,f2(X0,X3))),X1)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f932]) ).

fof(f1018,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X2))
      | ~ subset_sets(f1(X0,f11(X2,union_of_members(top_of_basis(X0)))),intersection_of_members(X0))
      | ~ element_of_collection(f1(X0,f11(X2,union_of_members(top_of_basis(X0)))),X1)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f933]) ).

fof(f1019,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(union_of_members(X0),top_of_basis(X2))
      | ~ subset_sets(f1(X0,f11(X2,union_of_members(X0))),intersection_of_members(X0))
      | ~ element_of_collection(f1(X0,f11(X2,union_of_members(X0))),X1)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f934]) ).

fof(f1020,plain,
    ! [X0,X1] :
      ( ~ sQ4_spl
      | ~ subset_sets(union_of_members(X0),intersection_of_members(X0))
      | ~ element_of_collection(union_of_members(X0),X1)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f935]) ).

fof(f1021,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(X0))
      | ~ subset_sets(f2(X0,X2),intersection_of_members(X0))
      | ~ element_of_collection(f2(X0,X2),X1)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f936]) ).

fof(f1022,plain,
    ! [X0,X1] :
      ( ~ subset_sets(f1(X0,f11(X1,union_of_members(top_of_basis(X0)))),union_of_members(top_of_basis(X0)))
      | ~ element_of_collection(f1(X0,f11(X1,union_of_members(top_of_basis(X0)))),X1)
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f937]) ).

fof(f1023,plain,
    ! [X0,X1] :
      ( ~ subset_sets(union_of_members(X0),union_of_members(top_of_basis(X0)))
      | ~ element_of_collection(union_of_members(X0),X1)
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f938]) ).

fof(f1024,plain,
    ! [X0,X1] :
      ( ~ subset_sets(f10(X0,f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))),f11(X1,union_of_members(top_of_basis(X0)))),union_of_members(top_of_basis(X0)))
      | ~ element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))),f11(X1,union_of_members(top_of_basis(X0)))),X1)
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f939]) ).

fof(f1025,plain,
    ! [X0,X1] :
      ( ~ subset_sets(f1(X0,f11(X1,union_of_members(X0))),union_of_members(X0))
      | ~ element_of_collection(f1(X0,f11(X1,union_of_members(X0))),X1)
      | element_of_collection(union_of_members(X0),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f940]) ).

fof(f1026,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f1(top_of_basis(X0),f11(X2,union_of_members(top_of_basis(X0)))),top_of_basis(X1))
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X2))
      | ~ subset_sets(f10(X0,f1(top_of_basis(X0),f11(X1,f1(top_of_basis(X0),f11(X2,union_of_members(top_of_basis(X0)))))),f11(X3,f1(top_of_basis(X0),f11(X1,f1(top_of_basis(X0),f11(X2,union_of_members(top_of_basis(X0)))))))),f1(top_of_basis(X0),f11(X1,f1(top_of_basis(X0),f11(X2,union_of_members(top_of_basis(X0)))))))
      | ~ element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X1,f1(top_of_basis(X0),f11(X2,union_of_members(top_of_basis(X0)))))),f11(X3,f1(top_of_basis(X0),f11(X1,f1(top_of_basis(X0),f11(X2,union_of_members(top_of_basis(X0)))))))),X3)
      | element_of_collection(f1(top_of_basis(X0),f11(X1,f1(top_of_basis(X0),f11(X2,union_of_members(top_of_basis(X0)))))),top_of_basis(X3)) ),
    inference(duplicate_literals_removal,[status(thm)],[f941]) ).

fof(f1027,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X1))
      | ~ subset_sets(f10(X0,f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))),f11(X2,f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))))),f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))))
      | ~ element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))),f11(X2,f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))))),X2)
      | element_of_collection(f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))),top_of_basis(X2)) ),
    inference(duplicate_literals_removal,[status(thm)],[f942]) ).

fof(f1028,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X1))
      | ~ subset_sets(f10(X0,f1(top_of_basis(X0),f11(X2,f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))))),f11(X2,f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))))),f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))))
      | ~ element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X2,f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))))),f11(X2,f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))))),X2)
      | element_of_collection(f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))),top_of_basis(X2)) ),
    inference(duplicate_literals_removal,[status(thm)],[f943]) ).

fof(f1029,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X2,intersection_of_members(top_of_basis(X0)))
      | element_of_collection(f2(top_of_basis(X0),X2),top_of_basis(X1))
      | ~ subset_sets(f10(X0,f1(top_of_basis(X0),f11(X1,f2(top_of_basis(X0),X2))),f11(X3,f1(top_of_basis(X0),f11(X1,f2(top_of_basis(X0),X2))))),f1(top_of_basis(X0),f11(X1,f2(top_of_basis(X0),X2))))
      | ~ element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X1,f2(top_of_basis(X0),X2))),f11(X3,f1(top_of_basis(X0),f11(X1,f2(top_of_basis(X0),X2))))),X3)
      | element_of_collection(f1(top_of_basis(X0),f11(X1,f2(top_of_basis(X0),X2))),top_of_basis(X3)) ),
    inference(duplicate_literals_removal,[status(thm)],[f944]) ).

fof(f1030,plain,
    ! [X0,X1,X2] :
      ( ~ sQ4_spl
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1))
      | ~ subset_sets(union_of_members(X0),f1(X0,f11(X1,intersection_of_members(top_of_basis(X0)))))
      | ~ element_of_collection(union_of_members(X0),X2)
      | element_of_collection(f1(X0,f11(X1,intersection_of_members(top_of_basis(X0)))),top_of_basis(X2)) ),
    inference(duplicate_literals_removal,[status(thm)],[f945]) ).

fof(f1031,plain,
    ! [X0,X1,X2] :
      ( ~ sQ4_spl
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1))
      | ~ subset_sets(f1(X0,f11(X2,f1(X0,f11(X1,intersection_of_members(X0))))),f1(X0,f11(X1,intersection_of_members(X0))))
      | ~ element_of_collection(f1(X0,f11(X2,f1(X0,f11(X1,intersection_of_members(X0))))),X2)
      | element_of_collection(f1(X0,f11(X1,intersection_of_members(X0))),top_of_basis(X2)) ),
    inference(duplicate_literals_removal,[status(thm)],[f946]) ).

fof(f1032,plain,
    ! [X0,X1,X2] :
      ( ~ sQ4_spl
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1))
      | ~ subset_sets(union_of_members(X0),f1(X0,f11(X1,intersection_of_members(X0))))
      | ~ element_of_collection(union_of_members(X0),X2)
      | element_of_collection(f1(X0,f11(X1,intersection_of_members(X0))),top_of_basis(X2)) ),
    inference(duplicate_literals_removal,[status(thm)],[f947]) ).

fof(f1033,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X1))
      | ~ subset_sets(union_of_members(X0),f1(X0,f11(X1,union_of_members(top_of_basis(X0)))))
      | ~ element_of_collection(union_of_members(X0),X2)
      | element_of_collection(f1(X0,f11(X1,union_of_members(top_of_basis(X0)))),top_of_basis(X2)) ),
    inference(duplicate_literals_removal,[status(thm)],[f948]) ).

fof(f1034,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(union_of_members(X0),top_of_basis(X1))
      | ~ subset_sets(f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))),f1(X0,f11(X1,union_of_members(X0))))
      | ~ element_of_collection(f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))),X2)
      | element_of_collection(f1(X0,f11(X1,union_of_members(X0))),top_of_basis(X2)) ),
    inference(duplicate_literals_removal,[status(thm)],[f949]) ).

fof(f1035,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(union_of_members(X0),top_of_basis(X1))
      | ~ subset_sets(union_of_members(X0),f1(X0,f11(X1,union_of_members(X0))))
      | ~ element_of_collection(union_of_members(X0),X2)
      | element_of_collection(f1(X0,f11(X1,union_of_members(X0))),top_of_basis(X2)) ),
    inference(duplicate_literals_removal,[status(thm)],[f950]) ).

fof(f1036,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ4_spl
      | element_of_collection(f1(X0,f11(X2,intersection_of_members(X0))),top_of_basis(X1))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X2))
      | ~ subset_sets(f1(X0,f11(X3,f1(X0,f11(X1,f1(X0,f11(X2,intersection_of_members(X0))))))),f1(X0,f11(X1,f1(X0,f11(X2,intersection_of_members(X0))))))
      | ~ element_of_collection(f1(X0,f11(X3,f1(X0,f11(X1,f1(X0,f11(X2,intersection_of_members(X0))))))),X3)
      | element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,intersection_of_members(X0))))),top_of_basis(X3)) ),
    inference(duplicate_literals_removal,[status(thm)],[f951]) ).

fof(f1037,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ4_spl
      | element_of_collection(f1(X0,f11(X2,intersection_of_members(X0))),top_of_basis(X1))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X2))
      | ~ subset_sets(union_of_members(X0),f1(X0,f11(X1,f1(X0,f11(X2,intersection_of_members(X0))))))
      | ~ element_of_collection(union_of_members(X0),X3)
      | element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,intersection_of_members(X0))))),top_of_basis(X3)) ),
    inference(duplicate_literals_removal,[status(thm)],[f952]) ).

fof(f1038,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f1(X0,f11(X2,union_of_members(X0))),top_of_basis(X1))
      | element_of_collection(union_of_members(X0),top_of_basis(X2))
      | ~ subset_sets(f1(X0,f11(X3,f1(X0,f11(X1,f1(X0,f11(X2,union_of_members(X0))))))),f1(X0,f11(X1,f1(X0,f11(X2,union_of_members(X0))))))
      | ~ element_of_collection(f1(X0,f11(X3,f1(X0,f11(X1,f1(X0,f11(X2,union_of_members(X0))))))),X3)
      | element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,union_of_members(X0))))),top_of_basis(X3)) ),
    inference(duplicate_literals_removal,[status(thm)],[f953]) ).

fof(f1039,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f1(X0,f11(X2,union_of_members(X0))),top_of_basis(X1))
      | element_of_collection(union_of_members(X0),top_of_basis(X2))
      | ~ subset_sets(union_of_members(X0),f1(X0,f11(X1,f1(X0,f11(X2,union_of_members(X0))))))
      | ~ element_of_collection(union_of_members(X0),X3)
      | element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,union_of_members(X0))))),top_of_basis(X3)) ),
    inference(duplicate_literals_removal,[status(thm)],[f954]) ).

fof(f1040,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ4_spl
      | element_of_collection(f1(X0,f11(X2,f1(X0,f11(X3,intersection_of_members(X0))))),top_of_basis(X1))
      | element_of_collection(f1(X0,f11(X3,intersection_of_members(X0))),top_of_basis(X2))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X3))
      | ~ subset_sets(f1(X0,f11(X4,f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,intersection_of_members(X0))))))))),f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,intersection_of_members(X0))))))))
      | ~ element_of_collection(f1(X0,f11(X4,f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,intersection_of_members(X0))))))))),X4)
      | element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,intersection_of_members(X0))))))),top_of_basis(X4)) ),
    inference(duplicate_literals_removal,[status(thm)],[f955]) ).

fof(f1041,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ4_spl
      | element_of_collection(f1(X0,f11(X2,f1(X0,f11(X3,intersection_of_members(X0))))),top_of_basis(X1))
      | element_of_collection(f1(X0,f11(X3,intersection_of_members(X0))),top_of_basis(X2))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X3))
      | ~ subset_sets(union_of_members(X0),f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,intersection_of_members(X0))))))))
      | ~ element_of_collection(union_of_members(X0),X4)
      | element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,intersection_of_members(X0))))))),top_of_basis(X4)) ),
    inference(duplicate_literals_removal,[status(thm)],[f956]) ).

fof(f1042,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f1(X0,f11(X2,f1(X0,f11(X3,union_of_members(X0))))),top_of_basis(X1))
      | element_of_collection(f1(X0,f11(X3,union_of_members(X0))),top_of_basis(X2))
      | element_of_collection(union_of_members(X0),top_of_basis(X3))
      | ~ subset_sets(f1(X0,f11(X4,f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,union_of_members(X0))))))))),f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,union_of_members(X0))))))))
      | ~ element_of_collection(f1(X0,f11(X4,f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,union_of_members(X0))))))))),X4)
      | element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,union_of_members(X0))))))),top_of_basis(X4)) ),
    inference(duplicate_literals_removal,[status(thm)],[f957]) ).

fof(f1043,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f1(X0,f11(X2,f1(X0,f11(X3,union_of_members(X0))))),top_of_basis(X1))
      | element_of_collection(f1(X0,f11(X3,union_of_members(X0))),top_of_basis(X2))
      | element_of_collection(union_of_members(X0),top_of_basis(X3))
      | ~ subset_sets(union_of_members(X0),f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,union_of_members(X0))))))))
      | ~ element_of_collection(union_of_members(X0),X4)
      | element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,union_of_members(X0))))))),top_of_basis(X4)) ),
    inference(duplicate_literals_removal,[status(thm)],[f958]) ).

fof(f1044,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ4_spl
      | element_of_collection(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,intersection_of_members(X0))))))),top_of_basis(X1))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X4,intersection_of_members(X0))))),top_of_basis(X2))
      | element_of_collection(f1(X0,f11(X4,intersection_of_members(X0))),top_of_basis(X3))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X4))
      | ~ subset_sets(f1(X0,f11(X5,f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,intersection_of_members(X0))))))))))),f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,intersection_of_members(X0))))))))))
      | ~ element_of_collection(f1(X0,f11(X5,f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,intersection_of_members(X0))))))))))),X5)
      | element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,intersection_of_members(X0))))))))),top_of_basis(X5)) ),
    inference(duplicate_literals_removal,[status(thm)],[f959]) ).

fof(f1045,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ4_spl
      | element_of_collection(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,intersection_of_members(X0))))))),top_of_basis(X1))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X4,intersection_of_members(X0))))),top_of_basis(X2))
      | element_of_collection(f1(X0,f11(X4,intersection_of_members(X0))),top_of_basis(X3))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X4))
      | ~ subset_sets(union_of_members(X0),f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,intersection_of_members(X0))))))))))
      | ~ element_of_collection(union_of_members(X0),X5)
      | element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,intersection_of_members(X0))))))))),top_of_basis(X5)) ),
    inference(duplicate_literals_removal,[status(thm)],[f960]) ).

fof(f1046,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,union_of_members(X0))))))),top_of_basis(X1))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X4,union_of_members(X0))))),top_of_basis(X2))
      | element_of_collection(f1(X0,f11(X4,union_of_members(X0))),top_of_basis(X3))
      | element_of_collection(union_of_members(X0),top_of_basis(X4))
      | ~ subset_sets(f1(X0,f11(X5,f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,union_of_members(X0))))))))))),f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,union_of_members(X0))))))))))
      | ~ element_of_collection(f1(X0,f11(X5,f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,union_of_members(X0))))))))))),X5)
      | element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,union_of_members(X0))))))))),top_of_basis(X5)) ),
    inference(duplicate_literals_removal,[status(thm)],[f961]) ).

fof(f1047,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,union_of_members(X0))))))),top_of_basis(X1))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X4,union_of_members(X0))))),top_of_basis(X2))
      | element_of_collection(f1(X0,f11(X4,union_of_members(X0))),top_of_basis(X3))
      | element_of_collection(union_of_members(X0),top_of_basis(X4))
      | ~ subset_sets(union_of_members(X0),f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,union_of_members(X0))))))))))
      | ~ element_of_collection(union_of_members(X0),X5)
      | element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,union_of_members(X0))))))))),top_of_basis(X5)) ),
    inference(duplicate_literals_removal,[status(thm)],[f962]) ).

fof(f1048,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_collection(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,union_of_members(X0))))))))),top_of_basis(X1))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,union_of_members(X0))))))),top_of_basis(X2))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X5,union_of_members(X0))))),top_of_basis(X3))
      | element_of_collection(f1(X0,f11(X5,union_of_members(X0))),top_of_basis(X4))
      | element_of_collection(union_of_members(X0),top_of_basis(X5))
      | ~ subset_sets(f1(X0,f11(X6,f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,union_of_members(X0))))))))))))),f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,union_of_members(X0))))))))))))
      | ~ element_of_collection(f1(X0,f11(X6,f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,union_of_members(X0))))))))))))),X6)
      | element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,union_of_members(X0))))))))))),top_of_basis(X6)) ),
    inference(duplicate_literals_removal,[status(thm)],[f963]) ).

fof(f1049,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_collection(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,union_of_members(X0))))))))),top_of_basis(X1))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,union_of_members(X0))))))),top_of_basis(X2))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X5,union_of_members(X0))))),top_of_basis(X3))
      | element_of_collection(f1(X0,f11(X5,union_of_members(X0))),top_of_basis(X4))
      | element_of_collection(union_of_members(X0),top_of_basis(X5))
      | ~ subset_sets(union_of_members(X0),f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,union_of_members(X0))))))))))))
      | ~ element_of_collection(union_of_members(X0),X6)
      | element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,union_of_members(X0))))))))))),top_of_basis(X6)) ),
    inference(duplicate_literals_removal,[status(thm)],[f964]) ).

fof(f1050,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( element_of_collection(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,union_of_members(X0))))))))))),top_of_basis(X1))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,union_of_members(X0))))))))),top_of_basis(X2))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,union_of_members(X0))))))),top_of_basis(X3))
      | element_of_collection(f1(X0,f11(X5,f1(X0,f11(X6,union_of_members(X0))))),top_of_basis(X4))
      | element_of_collection(f1(X0,f11(X6,union_of_members(X0))),top_of_basis(X5))
      | element_of_collection(union_of_members(X0),top_of_basis(X6))
      | ~ subset_sets(union_of_members(X0),f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,union_of_members(X0))))))))))))))
      | ~ element_of_collection(union_of_members(X0),X7)
      | element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,union_of_members(X0))))))))))))),top_of_basis(X7)) ),
    inference(duplicate_literals_removal,[status(thm)],[f965]) ).

fof(f1051,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( element_of_collection(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,f1(X0,f11(X8,f2(X0,X9))))))))))))))),top_of_basis(X1))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,f1(X0,f11(X8,f2(X0,X9))))))))))))),top_of_basis(X2))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,f1(X0,f11(X8,f2(X0,X9))))))))))),top_of_basis(X3))
      | element_of_collection(f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,f1(X0,f11(X8,f2(X0,X9))))))))),top_of_basis(X4))
      | element_of_collection(f1(X0,f11(X6,f1(X0,f11(X7,f1(X0,f11(X8,f2(X0,X9))))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X7,f1(X0,f11(X8,f2(X0,X9))))),top_of_basis(X6))
      | element_of_collection(f1(X0,f11(X8,f2(X0,X9))),top_of_basis(X7))
      | element_of_set(X9,intersection_of_members(X0))
      | element_of_collection(f2(X0,X9),top_of_basis(X8))
      | ~ subset_sets(union_of_members(X0),f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,f1(X0,f11(X8,f2(X0,X9))))))))))))))))))
      | ~ element_of_collection(union_of_members(X0),X10)
      | element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,f1(X0,f11(X8,f2(X0,X9))))))))))))))))),top_of_basis(X10)) ),
    inference(duplicate_literals_removal,[status(thm)],[f966]) ).

fof(f1052,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( element_of_collection(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,f2(X0,X8))))))))))))),top_of_basis(X1))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,f2(X0,X8))))))))))),top_of_basis(X2))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,f2(X0,X8))))))))),top_of_basis(X3))
      | element_of_collection(f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,f2(X0,X8))))))),top_of_basis(X4))
      | element_of_collection(f1(X0,f11(X6,f1(X0,f11(X7,f2(X0,X8))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X7,f2(X0,X8))),top_of_basis(X6))
      | element_of_set(X8,intersection_of_members(X0))
      | element_of_collection(f2(X0,X8),top_of_basis(X7))
      | ~ subset_sets(f1(X0,f11(X9,f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,f2(X0,X8))))))))))))))))),f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,f2(X0,X8))))))))))))))))
      | ~ element_of_collection(f1(X0,f11(X9,f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,f2(X0,X8))))))))))))))))),X9)
      | element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,f2(X0,X8))))))))))))))),top_of_basis(X9)) ),
    inference(duplicate_literals_removal,[status(thm)],[f967]) ).

fof(f1053,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( element_of_collection(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,f2(X0,X8))))))))))))),top_of_basis(X1))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,f2(X0,X8))))))))))),top_of_basis(X2))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,f2(X0,X8))))))))),top_of_basis(X3))
      | element_of_collection(f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,f2(X0,X8))))))),top_of_basis(X4))
      | element_of_collection(f1(X0,f11(X6,f1(X0,f11(X7,f2(X0,X8))))),top_of_basis(X5))
      | element_of_collection(f1(X0,f11(X7,f2(X0,X8))),top_of_basis(X6))
      | element_of_set(X8,intersection_of_members(X0))
      | element_of_collection(f2(X0,X8),top_of_basis(X7))
      | ~ subset_sets(union_of_members(X0),f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,f2(X0,X8))))))))))))))))
      | ~ element_of_collection(union_of_members(X0),X9)
      | element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f1(X0,f11(X7,f2(X0,X8))))))))))))))),top_of_basis(X9)) ),
    inference(duplicate_literals_removal,[status(thm)],[f968]) ).

fof(f1054,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( element_of_collection(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f2(X0,X7))))))))))),top_of_basis(X1))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f2(X0,X7))))))))),top_of_basis(X2))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f2(X0,X7))))))),top_of_basis(X3))
      | element_of_collection(f1(X0,f11(X5,f1(X0,f11(X6,f2(X0,X7))))),top_of_basis(X4))
      | element_of_collection(f1(X0,f11(X6,f2(X0,X7))),top_of_basis(X5))
      | element_of_set(X7,intersection_of_members(X0))
      | element_of_collection(f2(X0,X7),top_of_basis(X6))
      | ~ subset_sets(f1(X0,f11(X8,f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f2(X0,X7))))))))))))))),f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f2(X0,X7))))))))))))))
      | ~ element_of_collection(f1(X0,f11(X8,f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f2(X0,X7))))))))))))))),X8)
      | element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f2(X0,X7))))))))))))),top_of_basis(X8)) ),
    inference(duplicate_literals_removal,[status(thm)],[f969]) ).

fof(f1055,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( element_of_collection(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f2(X0,X7))))))))))),top_of_basis(X1))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f2(X0,X7))))))))),top_of_basis(X2))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f2(X0,X7))))))),top_of_basis(X3))
      | element_of_collection(f1(X0,f11(X5,f1(X0,f11(X6,f2(X0,X7))))),top_of_basis(X4))
      | element_of_collection(f1(X0,f11(X6,f2(X0,X7))),top_of_basis(X5))
      | element_of_set(X7,intersection_of_members(X0))
      | element_of_collection(f2(X0,X7),top_of_basis(X6))
      | ~ subset_sets(union_of_members(X0),f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f2(X0,X7))))))))))))))
      | ~ element_of_collection(union_of_members(X0),X8)
      | element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f1(X0,f11(X6,f2(X0,X7))))))))))))),top_of_basis(X8)) ),
    inference(duplicate_literals_removal,[status(thm)],[f970]) ).

fof(f1056,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( element_of_collection(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f2(X0,X6))))))))),top_of_basis(X1))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f2(X0,X6))))))),top_of_basis(X2))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X5,f2(X0,X6))))),top_of_basis(X3))
      | element_of_collection(f1(X0,f11(X5,f2(X0,X6))),top_of_basis(X4))
      | element_of_set(X6,intersection_of_members(X0))
      | element_of_collection(f2(X0,X6),top_of_basis(X5))
      | ~ subset_sets(f1(X0,f11(X7,f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f2(X0,X6))))))))))))),f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f2(X0,X6))))))))))))
      | ~ element_of_collection(f1(X0,f11(X7,f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f2(X0,X6))))))))))))),X7)
      | element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f2(X0,X6))))))))))),top_of_basis(X7)) ),
    inference(duplicate_literals_removal,[status(thm)],[f971]) ).

fof(f1057,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( element_of_collection(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f2(X0,X6))))))))),top_of_basis(X1))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f2(X0,X6))))))),top_of_basis(X2))
      | element_of_collection(f1(X0,f11(X4,f1(X0,f11(X5,f2(X0,X6))))),top_of_basis(X3))
      | element_of_collection(f1(X0,f11(X5,f2(X0,X6))),top_of_basis(X4))
      | element_of_set(X6,intersection_of_members(X0))
      | element_of_collection(f2(X0,X6),top_of_basis(X5))
      | ~ subset_sets(union_of_members(X0),f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f2(X0,X6))))))))))))
      | ~ element_of_collection(union_of_members(X0),X7)
      | element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f1(X0,f11(X5,f2(X0,X6))))))))))),top_of_basis(X7)) ),
    inference(duplicate_literals_removal,[status(thm)],[f972]) ).

fof(f1058,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_collection(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f2(X0,X5))))))),top_of_basis(X1))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X4,f2(X0,X5))))),top_of_basis(X2))
      | element_of_collection(f1(X0,f11(X4,f2(X0,X5))),top_of_basis(X3))
      | element_of_set(X5,intersection_of_members(X0))
      | element_of_collection(f2(X0,X5),top_of_basis(X4))
      | ~ subset_sets(f1(X0,f11(X6,f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f2(X0,X5))))))))))),f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f2(X0,X5))))))))))
      | ~ element_of_collection(f1(X0,f11(X6,f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f2(X0,X5))))))))))),X6)
      | element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f2(X0,X5))))))))),top_of_basis(X6)) ),
    inference(duplicate_literals_removal,[status(thm)],[f973]) ).

fof(f1059,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_collection(f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f2(X0,X5))))))),top_of_basis(X1))
      | element_of_collection(f1(X0,f11(X3,f1(X0,f11(X4,f2(X0,X5))))),top_of_basis(X2))
      | element_of_collection(f1(X0,f11(X4,f2(X0,X5))),top_of_basis(X3))
      | element_of_set(X5,intersection_of_members(X0))
      | element_of_collection(f2(X0,X5),top_of_basis(X4))
      | ~ subset_sets(union_of_members(X0),f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f2(X0,X5))))))))))
      | ~ element_of_collection(union_of_members(X0),X6)
      | element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f1(X0,f11(X4,f2(X0,X5))))))))),top_of_basis(X6)) ),
    inference(duplicate_literals_removal,[status(thm)],[f974]) ).

fof(f1060,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(f1(X0,f11(X2,f1(X0,f11(X3,f2(X0,X4))))),top_of_basis(X1))
      | element_of_collection(f1(X0,f11(X3,f2(X0,X4))),top_of_basis(X2))
      | element_of_set(X4,intersection_of_members(X0))
      | element_of_collection(f2(X0,X4),top_of_basis(X3))
      | ~ subset_sets(f1(X0,f11(X5,f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f2(X0,X4))))))))),f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f2(X0,X4))))))))
      | ~ element_of_collection(f1(X0,f11(X5,f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f2(X0,X4))))))))),X5)
      | element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f2(X0,X4))))))),top_of_basis(X5)) ),
    inference(duplicate_literals_removal,[status(thm)],[f975]) ).

fof(f1061,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(f1(X0,f11(X2,f1(X0,f11(X3,f2(X0,X4))))),top_of_basis(X1))
      | element_of_collection(f1(X0,f11(X3,f2(X0,X4))),top_of_basis(X2))
      | element_of_set(X4,intersection_of_members(X0))
      | element_of_collection(f2(X0,X4),top_of_basis(X3))
      | ~ subset_sets(union_of_members(X0),f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f2(X0,X4))))))))
      | ~ element_of_collection(union_of_members(X0),X5)
      | element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f1(X0,f11(X3,f2(X0,X4))))))),top_of_basis(X5)) ),
    inference(duplicate_literals_removal,[status(thm)],[f976]) ).

fof(f1062,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f1(X0,f11(X2,f2(X0,X3))),top_of_basis(X1))
      | element_of_set(X3,intersection_of_members(X0))
      | element_of_collection(f2(X0,X3),top_of_basis(X2))
      | ~ subset_sets(f1(X0,f11(X4,f1(X0,f11(X1,f1(X0,f11(X2,f2(X0,X3))))))),f1(X0,f11(X1,f1(X0,f11(X2,f2(X0,X3))))))
      | ~ element_of_collection(f1(X0,f11(X4,f1(X0,f11(X1,f1(X0,f11(X2,f2(X0,X3))))))),X4)
      | element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f2(X0,X3))))),top_of_basis(X4)) ),
    inference(duplicate_literals_removal,[status(thm)],[f977]) ).

fof(f1063,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f1(X0,f11(X2,f2(X0,X3))),top_of_basis(X1))
      | element_of_set(X3,intersection_of_members(X0))
      | element_of_collection(f2(X0,X3),top_of_basis(X2))
      | ~ subset_sets(union_of_members(X0),f1(X0,f11(X1,f1(X0,f11(X2,f2(X0,X3))))))
      | ~ element_of_collection(union_of_members(X0),X4)
      | element_of_collection(f1(X0,f11(X1,f1(X0,f11(X2,f2(X0,X3))))),top_of_basis(X4)) ),
    inference(duplicate_literals_removal,[status(thm)],[f978]) ).

fof(f1064,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X2,intersection_of_members(X0))
      | element_of_collection(f2(X0,X2),top_of_basis(X1))
      | ~ subset_sets(f1(X0,f11(X3,f1(X0,f11(X1,f2(X0,X2))))),f1(X0,f11(X1,f2(X0,X2))))
      | ~ element_of_collection(f1(X0,f11(X3,f1(X0,f11(X1,f2(X0,X2))))),X3)
      | element_of_collection(f1(X0,f11(X1,f2(X0,X2))),top_of_basis(X3)) ),
    inference(duplicate_literals_removal,[status(thm)],[f979]) ).

fof(f1065,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X2,intersection_of_members(X0))
      | element_of_collection(f2(X0,X2),top_of_basis(X1))
      | ~ subset_sets(union_of_members(X0),f1(X0,f11(X1,f2(X0,X2))))
      | ~ element_of_collection(union_of_members(X0),X3)
      | element_of_collection(f1(X0,f11(X1,f2(X0,X2))),top_of_basis(X3)) ),
    inference(duplicate_literals_removal,[status(thm)],[f980]) ).

fof(f1066,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X1,intersection_of_members(top_of_basis(X0)))
      | ~ subset_sets(f10(X0,f2(top_of_basis(X0),X1),f11(X2,f2(top_of_basis(X0),X1))),f2(top_of_basis(X0),X1))
      | ~ element_of_collection(f10(X0,f2(top_of_basis(X0),X1),f11(X2,f2(top_of_basis(X0),X1))),X2)
      | element_of_collection(f2(top_of_basis(X0),X1),top_of_basis(X2)) ),
    inference(duplicate_literals_removal,[status(thm)],[f981]) ).

fof(f1067,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X1,intersection_of_members(top_of_basis(X0)))
      | ~ subset_sets(f10(X0,f1(top_of_basis(X0),f11(X2,f2(top_of_basis(X0),X1))),f11(X2,f2(top_of_basis(X0),X1))),f2(top_of_basis(X0),X1))
      | ~ element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X2,f2(top_of_basis(X0),X1))),f11(X2,f2(top_of_basis(X0),X1))),X2)
      | element_of_collection(f2(top_of_basis(X0),X1),top_of_basis(X2)) ),
    inference(duplicate_literals_removal,[status(thm)],[f982]) ).

fof(f1068,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X1,intersection_of_members(X0))
      | ~ subset_sets(f1(X0,f11(X2,f2(X0,X1))),f2(X0,X1))
      | ~ element_of_collection(f1(X0,f11(X2,f2(X0,X1))),X2)
      | element_of_collection(f2(X0,X1),top_of_basis(X2)) ),
    inference(duplicate_literals_removal,[status(thm)],[f983]) ).

fof(f1069,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X1,intersection_of_members(X0))
      | ~ subset_sets(union_of_members(X0),f2(X0,X1))
      | ~ element_of_collection(union_of_members(X0),X2)
      | element_of_collection(f2(X0,X1),top_of_basis(X2)) ),
    inference(duplicate_literals_removal,[status(thm)],[f984]) ).

fof(f1070,plain,
    ! [X0,X1] :
      ( ~ subset_sets(X0,X0)
      | ~ element_of_collection(X0,X1)
      | element_of_collection(X0,top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f985]) ).

fof(f1071,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(closure(X0,X1,X2),top_of_basis(X3))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f188,f165]) ).

fof(f1072,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(boundary(X2,X0,X1),top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f212,f165]) ).

fof(f1073,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f2(top_of_basis(subspace_topology(X0,X1,X2)),X3),top_of_basis(X4))
      | element_of_set(X3,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2))))
      | element_of_collection(f12(X0,X1,X2,f10(subspace_topology(X0,X1,X2),f2(top_of_basis(subspace_topology(X0,X1,X2)),X3),f11(X4,f2(top_of_basis(subspace_topology(X0,X1,X2)),X3)))),X1) ),
    inference(resolution,[status(thm)],[f172,f685]) ).

fof(f1074,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2))),top_of_basis(X4))
      | element_of_set(X3,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2))))
      | element_of_collection(f12(X0,X1,X2,f10(subspace_topology(X0,X1,X2),f2(top_of_basis(subspace_topology(X0,X1,X2)),X3),f11(X4,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2)))))),X1) ),
    inference(resolution,[status(thm)],[f172,f686]) ).

fof(f1075,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f1(top_of_basis(subspace_topology(X0,X1,X2)),f11(X3,union_of_members(top_of_basis(subspace_topology(X0,X1,X2))))),top_of_basis(X4))
      | element_of_collection(union_of_members(top_of_basis(subspace_topology(X0,X1,X2))),top_of_basis(X3))
      | element_of_collection(f12(X0,X1,X2,f10(subspace_topology(X0,X1,X2),f1(top_of_basis(subspace_topology(X0,X1,X2)),f11(X3,union_of_members(top_of_basis(subspace_topology(X0,X1,X2))))),f11(X4,f1(top_of_basis(subspace_topology(X0,X1,X2)),f11(X3,union_of_members(top_of_basis(subspace_topology(X0,X1,X2)))))))),X1) ),
    inference(resolution,[status(thm)],[f172,f710]) ).

fof(f1076,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2))),top_of_basis(X4))
      | element_of_collection(union_of_members(top_of_basis(subspace_topology(X0,X1,X2))),top_of_basis(X3))
      | element_of_collection(f12(X0,X1,X2,f10(subspace_topology(X0,X1,X2),f1(top_of_basis(subspace_topology(X0,X1,X2)),f11(X3,union_of_members(top_of_basis(subspace_topology(X0,X1,X2))))),f11(X4,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2)))))),X1) ),
    inference(resolution,[status(thm)],[f172,f711]) ).

fof(f1077,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(union_of_members(top_of_basis(subspace_topology(X0,X1,X2))),top_of_basis(X3))
      | element_of_collection(f12(X0,X1,X2,f10(subspace_topology(X0,X1,X2),f1(top_of_basis(subspace_topology(X0,X1,X2)),f11(X3,union_of_members(top_of_basis(subspace_topology(X0,X1,X2))))),f11(X3,union_of_members(top_of_basis(subspace_topology(X0,X1,X2)))))),X1) ),
    inference(resolution,[status(thm)],[f172,f712]) ).

fof(f1078,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(f1(top_of_basis(subspace_topology(X0,X1,X2)),f11(X3,f2(top_of_basis(subspace_topology(X0,X1,X2)),X4))),top_of_basis(X5))
      | element_of_set(X4,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2))))
      | element_of_collection(f2(top_of_basis(subspace_topology(X0,X1,X2)),X4),top_of_basis(X3))
      | element_of_collection(f12(X0,X1,X2,f10(subspace_topology(X0,X1,X2),f1(top_of_basis(subspace_topology(X0,X1,X2)),f11(X3,f2(top_of_basis(subspace_topology(X0,X1,X2)),X4))),f11(X5,f1(top_of_basis(subspace_topology(X0,X1,X2)),f11(X3,f2(top_of_basis(subspace_topology(X0,X1,X2)),X4)))))),X1) ),
    inference(resolution,[status(thm)],[f172,f612]) ).

fof(f1079,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2))),top_of_basis(X5))
      | element_of_set(X4,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2))))
      | element_of_collection(f2(top_of_basis(subspace_topology(X0,X1,X2)),X4),top_of_basis(X3))
      | element_of_collection(f12(X0,X1,X2,f10(subspace_topology(X0,X1,X2),f1(top_of_basis(subspace_topology(X0,X1,X2)),f11(X3,f2(top_of_basis(subspace_topology(X0,X1,X2)),X4))),f11(X5,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2)))))),X1) ),
    inference(resolution,[status(thm)],[f172,f613]) ).

fof(f1080,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(X4,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2))))
      | element_of_collection(f2(top_of_basis(subspace_topology(X0,X1,X2)),X4),top_of_basis(X3))
      | element_of_collection(f12(X0,X1,X2,f10(subspace_topology(X0,X1,X2),f1(top_of_basis(subspace_topology(X0,X1,X2)),f11(X3,f2(top_of_basis(subspace_topology(X0,X1,X2)),X4))),f11(X3,f2(top_of_basis(subspace_topology(X0,X1,X2)),X4)))),X1) ),
    inference(resolution,[status(thm)],[f172,f614]) ).

fof(f1081,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ4_spl
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(subspace_topology(X0,X1,X2)))),top_of_basis(X3))
      | element_of_collection(f12(X0,X1,X2,f10(subspace_topology(X0,X1,X2),f1(top_of_basis(subspace_topology(X0,X1,X2)),f11(X3,intersection_of_members(top_of_basis(top_of_basis(subspace_topology(X0,X1,X2)))))),f11(X3,intersection_of_members(top_of_basis(top_of_basis(subspace_topology(X0,X1,X2))))))),X1) ),
    inference(resolution,[status(thm)],[f172,f648]) ).

fof(f1082,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ4_spl
      | element_of_collection(intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2))),top_of_basis(X4))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(subspace_topology(X0,X1,X2)))),top_of_basis(X3))
      | element_of_collection(f12(X0,X1,X2,f10(subspace_topology(X0,X1,X2),f1(top_of_basis(subspace_topology(X0,X1,X2)),f11(X3,intersection_of_members(top_of_basis(top_of_basis(subspace_topology(X0,X1,X2)))))),f11(X4,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2)))))),X1) ),
    inference(resolution,[status(thm)],[f172,f649]) ).

fof(f1083,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ4_spl
      | element_of_collection(intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2))),top_of_basis(X4))
      | element_of_collection(intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2))),top_of_basis(X3))
      | element_of_collection(f12(X0,X1,X2,f10(subspace_topology(X0,X1,X2),f1(top_of_basis(subspace_topology(X0,X1,X2)),f11(X3,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2))))),f11(X4,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2)))))),X1) ),
    inference(resolution,[status(thm)],[f172,f589]) ).

fof(f1084,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ4_spl
      | element_of_collection(intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2))),top_of_basis(X3))
      | element_of_collection(f12(X0,X1,X2,f10(subspace_topology(X0,X1,X2),f1(top_of_basis(subspace_topology(X0,X1,X2)),f11(X3,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2))))),f11(X3,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2)))))),X1) ),
    inference(resolution,[status(thm)],[f172,f590]) ).

fof(f1085,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ4_spl
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(subspace_topology(X0,X1,X2)))),top_of_basis(X3))
      | element_of_collection(f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,intersection_of_members(top_of_basis(top_of_basis(subspace_topology(X0,X1,X2))))))),X1) ),
    inference(resolution,[status(thm)],[f172,f667]) ).

fof(f1086,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ4_spl
      | element_of_collection(intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2))),top_of_basis(X3))
      | element_of_collection(f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2)))))),X1) ),
    inference(resolution,[status(thm)],[f172,f598]) ).

fof(f1087,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ4_spl
      | element_of_collection(intersection_of_members(subspace_topology(X0,X1,X2)),top_of_basis(X3))
      | element_of_collection(f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,intersection_of_members(subspace_topology(X0,X1,X2))))),X1) ),
    inference(resolution,[status(thm)],[f172,f418]) ).

fof(f1088,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(union_of_members(top_of_basis(subspace_topology(X0,X1,X2))),top_of_basis(X3))
      | element_of_collection(f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,union_of_members(top_of_basis(subspace_topology(X0,X1,X2)))))),X1) ),
    inference(resolution,[status(thm)],[f172,f720]) ).

fof(f1089,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(union_of_members(subspace_topology(X0,X1,X2)),top_of_basis(X3))
      | element_of_collection(f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,union_of_members(subspace_topology(X0,X1,X2))))),X1) ),
    inference(resolution,[status(thm)],[f172,f292]) ).

fof(f1090,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ4_spl
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X4,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2))))),top_of_basis(X3))
      | element_of_collection(intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2))),top_of_basis(X4))
      | element_of_collection(f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,f1(subspace_topology(X0,X1,X2),f11(X4,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2)))))))),X1) ),
    inference(resolution,[status(thm)],[f172,f629]) ).

fof(f1091,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ4_spl
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X4,intersection_of_members(subspace_topology(X0,X1,X2)))),top_of_basis(X3))
      | element_of_collection(intersection_of_members(subspace_topology(X0,X1,X2)),top_of_basis(X4))
      | element_of_collection(f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,f1(subspace_topology(X0,X1,X2),f11(X4,intersection_of_members(subspace_topology(X0,X1,X2))))))),X1) ),
    inference(resolution,[status(thm)],[f172,f453]) ).

fof(f1092,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X4,union_of_members(top_of_basis(subspace_topology(X0,X1,X2))))),top_of_basis(X3))
      | element_of_collection(union_of_members(top_of_basis(subspace_topology(X0,X1,X2))),top_of_basis(X4))
      | element_of_collection(f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,f1(subspace_topology(X0,X1,X2),f11(X4,union_of_members(top_of_basis(subspace_topology(X0,X1,X2)))))))),X1) ),
    inference(resolution,[status(thm)],[f172,f731]) ).

fof(f1093,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X4,union_of_members(subspace_topology(X0,X1,X2)))),top_of_basis(X3))
      | element_of_collection(union_of_members(subspace_topology(X0,X1,X2)),top_of_basis(X4))
      | element_of_collection(f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,f1(subspace_topology(X0,X1,X2),f11(X4,union_of_members(subspace_topology(X0,X1,X2))))))),X1) ),
    inference(resolution,[status(thm)],[f172,f393]) ).

fof(f1094,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ4_spl
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X5,intersection_of_members(subspace_topology(X0,X1,X2)))))),top_of_basis(X3))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X5,intersection_of_members(subspace_topology(X0,X1,X2)))),top_of_basis(X4))
      | element_of_collection(intersection_of_members(subspace_topology(X0,X1,X2)),top_of_basis(X5))
      | element_of_collection(f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X5,intersection_of_members(subspace_topology(X0,X1,X2))))))))),X1) ),
    inference(resolution,[status(thm)],[f172,f480]) ).

fof(f1095,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X5,union_of_members(subspace_topology(X0,X1,X2)))))),top_of_basis(X3))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X5,union_of_members(subspace_topology(X0,X1,X2)))),top_of_basis(X4))
      | element_of_collection(union_of_members(subspace_topology(X0,X1,X2)),top_of_basis(X5))
      | element_of_collection(f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X5,union_of_members(subspace_topology(X0,X1,X2))))))))),X1) ),
    inference(resolution,[status(thm)],[f172,f462]) ).

fof(f1096,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ4_spl
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,intersection_of_members(subspace_topology(X0,X1,X2)))))))),top_of_basis(X3))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,intersection_of_members(subspace_topology(X0,X1,X2)))))),top_of_basis(X4))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X6,intersection_of_members(subspace_topology(X0,X1,X2)))),top_of_basis(X5))
      | element_of_collection(intersection_of_members(subspace_topology(X0,X1,X2)),top_of_basis(X6))
      | element_of_collection(f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,intersection_of_members(subspace_topology(X0,X1,X2))))))))))),X1) ),
    inference(resolution,[status(thm)],[f172,f491]) ).

fof(f1097,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,union_of_members(subspace_topology(X0,X1,X2)))))))),top_of_basis(X3))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,union_of_members(subspace_topology(X0,X1,X2)))))),top_of_basis(X4))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X6,union_of_members(subspace_topology(X0,X1,X2)))),top_of_basis(X5))
      | element_of_collection(union_of_members(subspace_topology(X0,X1,X2)),top_of_basis(X6))
      | element_of_collection(f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,union_of_members(subspace_topology(X0,X1,X2))))))))))),X1) ),
    inference(resolution,[status(thm)],[f172,f473]) ).

fof(f1098,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ4_spl
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,intersection_of_members(subspace_topology(X0,X1,X2)))))))))),top_of_basis(X3))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,intersection_of_members(subspace_topology(X0,X1,X2)))))))),top_of_basis(X4))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,intersection_of_members(subspace_topology(X0,X1,X2)))))),top_of_basis(X5))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X7,intersection_of_members(subspace_topology(X0,X1,X2)))),top_of_basis(X6))
      | element_of_collection(intersection_of_members(subspace_topology(X0,X1,X2)),top_of_basis(X7))
      | element_of_collection(f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,intersection_of_members(subspace_topology(X0,X1,X2))))))))))))),X1) ),
    inference(resolution,[status(thm)],[f172,f511]) ).

fof(f1099,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,union_of_members(subspace_topology(X0,X1,X2)))))))))),top_of_basis(X3))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,union_of_members(subspace_topology(X0,X1,X2)))))))),top_of_basis(X4))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,union_of_members(subspace_topology(X0,X1,X2)))))),top_of_basis(X5))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X7,union_of_members(subspace_topology(X0,X1,X2)))),top_of_basis(X6))
      | element_of_collection(union_of_members(subspace_topology(X0,X1,X2)),top_of_basis(X7))
      | element_of_collection(f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,union_of_members(subspace_topology(X0,X1,X2))))))))))))),X1) ),
    inference(resolution,[status(thm)],[f172,f509]) ).

fof(f1100,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,f1(subspace_topology(X0,X1,X2),f11(X8,union_of_members(subspace_topology(X0,X1,X2)))))))))))),top_of_basis(X3))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,f1(subspace_topology(X0,X1,X2),f11(X8,union_of_members(subspace_topology(X0,X1,X2)))))))))),top_of_basis(X4))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,f1(subspace_topology(X0,X1,X2),f11(X8,union_of_members(subspace_topology(X0,X1,X2)))))))),top_of_basis(X5))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X7,f1(subspace_topology(X0,X1,X2),f11(X8,union_of_members(subspace_topology(X0,X1,X2)))))),top_of_basis(X6))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X8,union_of_members(subspace_topology(X0,X1,X2)))),top_of_basis(X7))
      | element_of_collection(union_of_members(subspace_topology(X0,X1,X2)),top_of_basis(X8))
      | element_of_collection(f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,f1(subspace_topology(X0,X1,X2),f11(X8,union_of_members(subspace_topology(X0,X1,X2))))))))))))))),X1) ),
    inference(resolution,[status(thm)],[f172,f522]) ).

fof(f1101,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,f1(subspace_topology(X0,X1,X2),f11(X8,f1(subspace_topology(X0,X1,X2),f11(X9,union_of_members(subspace_topology(X0,X1,X2)))))))))))))),top_of_basis(X3))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,f1(subspace_topology(X0,X1,X2),f11(X8,f1(subspace_topology(X0,X1,X2),f11(X9,union_of_members(subspace_topology(X0,X1,X2)))))))))))),top_of_basis(X4))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,f1(subspace_topology(X0,X1,X2),f11(X8,f1(subspace_topology(X0,X1,X2),f11(X9,union_of_members(subspace_topology(X0,X1,X2)))))))))),top_of_basis(X5))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X7,f1(subspace_topology(X0,X1,X2),f11(X8,f1(subspace_topology(X0,X1,X2),f11(X9,union_of_members(subspace_topology(X0,X1,X2)))))))),top_of_basis(X6))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X8,f1(subspace_topology(X0,X1,X2),f11(X9,union_of_members(subspace_topology(X0,X1,X2)))))),top_of_basis(X7))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X9,union_of_members(subspace_topology(X0,X1,X2)))),top_of_basis(X8))
      | element_of_collection(union_of_members(subspace_topology(X0,X1,X2)),top_of_basis(X9))
      | element_of_collection(f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,f1(subspace_topology(X0,X1,X2),f11(X8,f1(subspace_topology(X0,X1,X2),f11(X9,union_of_members(subspace_topology(X0,X1,X2))))))))))))))))),X1) ),
    inference(resolution,[status(thm)],[f172,f533]) ).

fof(f1102,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,f1(subspace_topology(X0,X1,X2),f11(X8,f1(subspace_topology(X0,X1,X2),f11(X9,f1(subspace_topology(X0,X1,X2),f11(X10,f2(subspace_topology(X0,X1,X2),X11))))))))))))))),top_of_basis(X3))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,f1(subspace_topology(X0,X1,X2),f11(X8,f1(subspace_topology(X0,X1,X2),f11(X9,f1(subspace_topology(X0,X1,X2),f11(X10,f2(subspace_topology(X0,X1,X2),X11))))))))))))),top_of_basis(X4))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,f1(subspace_topology(X0,X1,X2),f11(X8,f1(subspace_topology(X0,X1,X2),f11(X9,f1(subspace_topology(X0,X1,X2),f11(X10,f2(subspace_topology(X0,X1,X2),X11))))))))))),top_of_basis(X5))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X7,f1(subspace_topology(X0,X1,X2),f11(X8,f1(subspace_topology(X0,X1,X2),f11(X9,f1(subspace_topology(X0,X1,X2),f11(X10,f2(subspace_topology(X0,X1,X2),X11))))))))),top_of_basis(X6))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X8,f1(subspace_topology(X0,X1,X2),f11(X9,f1(subspace_topology(X0,X1,X2),f11(X10,f2(subspace_topology(X0,X1,X2),X11))))))),top_of_basis(X7))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X9,f1(subspace_topology(X0,X1,X2),f11(X10,f2(subspace_topology(X0,X1,X2),X11))))),top_of_basis(X8))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X10,f2(subspace_topology(X0,X1,X2),X11))),top_of_basis(X9))
      | element_of_set(X11,intersection_of_members(subspace_topology(X0,X1,X2)))
      | element_of_collection(f2(subspace_topology(X0,X1,X2),X11),top_of_basis(X10))
      | element_of_collection(f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,f1(subspace_topology(X0,X1,X2),f11(X8,f1(subspace_topology(X0,X1,X2),f11(X9,f1(subspace_topology(X0,X1,X2),f11(X10,f2(subspace_topology(X0,X1,X2),X11)))))))))))))))))),X1) ),
    inference(resolution,[status(thm)],[f172,f336]) ).

fof(f1103,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,f1(subspace_topology(X0,X1,X2),f11(X8,f1(subspace_topology(X0,X1,X2),f11(X9,f2(subspace_topology(X0,X1,X2),X10))))))))))))),top_of_basis(X3))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,f1(subspace_topology(X0,X1,X2),f11(X8,f1(subspace_topology(X0,X1,X2),f11(X9,f2(subspace_topology(X0,X1,X2),X10))))))))))),top_of_basis(X4))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,f1(subspace_topology(X0,X1,X2),f11(X8,f1(subspace_topology(X0,X1,X2),f11(X9,f2(subspace_topology(X0,X1,X2),X10))))))))),top_of_basis(X5))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X7,f1(subspace_topology(X0,X1,X2),f11(X8,f1(subspace_topology(X0,X1,X2),f11(X9,f2(subspace_topology(X0,X1,X2),X10))))))),top_of_basis(X6))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X8,f1(subspace_topology(X0,X1,X2),f11(X9,f2(subspace_topology(X0,X1,X2),X10))))),top_of_basis(X7))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X9,f2(subspace_topology(X0,X1,X2),X10))),top_of_basis(X8))
      | element_of_set(X10,intersection_of_members(subspace_topology(X0,X1,X2)))
      | element_of_collection(f2(subspace_topology(X0,X1,X2),X10),top_of_basis(X9))
      | element_of_collection(f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,f1(subspace_topology(X0,X1,X2),f11(X8,f1(subspace_topology(X0,X1,X2),f11(X9,f2(subspace_topology(X0,X1,X2),X10)))))))))))))))),X1) ),
    inference(resolution,[status(thm)],[f172,f330]) ).

fof(f1104,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,f1(subspace_topology(X0,X1,X2),f11(X8,f2(subspace_topology(X0,X1,X2),X9))))))))))),top_of_basis(X3))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,f1(subspace_topology(X0,X1,X2),f11(X8,f2(subspace_topology(X0,X1,X2),X9))))))))),top_of_basis(X4))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,f1(subspace_topology(X0,X1,X2),f11(X8,f2(subspace_topology(X0,X1,X2),X9))))))),top_of_basis(X5))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X7,f1(subspace_topology(X0,X1,X2),f11(X8,f2(subspace_topology(X0,X1,X2),X9))))),top_of_basis(X6))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X8,f2(subspace_topology(X0,X1,X2),X9))),top_of_basis(X7))
      | element_of_set(X9,intersection_of_members(subspace_topology(X0,X1,X2)))
      | element_of_collection(f2(subspace_topology(X0,X1,X2),X9),top_of_basis(X8))
      | element_of_collection(f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,f1(subspace_topology(X0,X1,X2),f11(X8,f2(subspace_topology(X0,X1,X2),X9)))))))))))))),X1) ),
    inference(resolution,[status(thm)],[f172,f324]) ).

fof(f1105,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,f2(subspace_topology(X0,X1,X2),X8))))))))),top_of_basis(X3))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,f2(subspace_topology(X0,X1,X2),X8))))))),top_of_basis(X4))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,f2(subspace_topology(X0,X1,X2),X8))))),top_of_basis(X5))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X7,f2(subspace_topology(X0,X1,X2),X8))),top_of_basis(X6))
      | element_of_set(X8,intersection_of_members(subspace_topology(X0,X1,X2)))
      | element_of_collection(f2(subspace_topology(X0,X1,X2),X8),top_of_basis(X7))
      | element_of_collection(f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,f2(subspace_topology(X0,X1,X2),X8)))))))))))),X1) ),
    inference(resolution,[status(thm)],[f172,f318]) ).

fof(f1106,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,f2(subspace_topology(X0,X1,X2),X7))))))),top_of_basis(X3))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,f2(subspace_topology(X0,X1,X2),X7))))),top_of_basis(X4))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X6,f2(subspace_topology(X0,X1,X2),X7))),top_of_basis(X5))
      | element_of_set(X7,intersection_of_members(subspace_topology(X0,X1,X2)))
      | element_of_collection(f2(subspace_topology(X0,X1,X2),X7),top_of_basis(X6))
      | element_of_collection(f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,f2(subspace_topology(X0,X1,X2),X7)))))))))),X1) ),
    inference(resolution,[status(thm)],[f172,f312]) ).

fof(f1107,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X5,f2(subspace_topology(X0,X1,X2),X6))))),top_of_basis(X3))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X5,f2(subspace_topology(X0,X1,X2),X6))),top_of_basis(X4))
      | element_of_set(X6,intersection_of_members(subspace_topology(X0,X1,X2)))
      | element_of_collection(f2(subspace_topology(X0,X1,X2),X6),top_of_basis(X5))
      | element_of_collection(f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X5,f2(subspace_topology(X0,X1,X2),X6)))))))),X1) ),
    inference(resolution,[status(thm)],[f172,f306]) ).

fof(f1108,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X4,f2(subspace_topology(X0,X1,X2),X5))),top_of_basis(X3))
      | element_of_set(X5,intersection_of_members(subspace_topology(X0,X1,X2)))
      | element_of_collection(f2(subspace_topology(X0,X1,X2),X5),top_of_basis(X4))
      | element_of_collection(f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,f1(subspace_topology(X0,X1,X2),f11(X4,f2(subspace_topology(X0,X1,X2),X5)))))),X1) ),
    inference(resolution,[status(thm)],[f172,f300]) ).

fof(f1109,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(X4,intersection_of_members(subspace_topology(X0,X1,X2)))
      | element_of_collection(f2(subspace_topology(X0,X1,X2),X4),top_of_basis(X3))
      | element_of_collection(f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,f2(subspace_topology(X0,X1,X2),X4)))),X1) ),
    inference(resolution,[status(thm)],[f172,f294]) ).

fof(f1110,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(subspace_topology(X0,X1,X2)))
      | element_of_collection(f12(X0,X1,X2,f2(subspace_topology(X0,X1,X2),X3)),X1) ),
    inference(resolution,[status(thm)],[f172,f119]) ).

fof(f1111,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f2(top_of_basis(subspace_topology(X0,X1,X2)),X3),top_of_basis(X4))
      | element_of_set(X3,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2))))
      | equal_sets(f10(subspace_topology(X0,X1,X2),f2(top_of_basis(subspace_topology(X0,X1,X2)),X3),f11(X4,f2(top_of_basis(subspace_topology(X0,X1,X2)),X3))),intersection_of_sets(X2,f12(X0,X1,X2,f10(subspace_topology(X0,X1,X2),f2(top_of_basis(subspace_topology(X0,X1,X2)),X3),f11(X4,f2(top_of_basis(subspace_topology(X0,X1,X2)),X3)))))) ),
    inference(resolution,[status(thm)],[f173,f685]) ).

fof(f1112,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2))),top_of_basis(X4))
      | element_of_set(X3,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2))))
      | equal_sets(f10(subspace_topology(X0,X1,X2),f2(top_of_basis(subspace_topology(X0,X1,X2)),X3),f11(X4,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2))))),intersection_of_sets(X2,f12(X0,X1,X2,f10(subspace_topology(X0,X1,X2),f2(top_of_basis(subspace_topology(X0,X1,X2)),X3),f11(X4,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2)))))))) ),
    inference(resolution,[status(thm)],[f173,f686]) ).

fof(f1113,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f1(top_of_basis(subspace_topology(X0,X1,X2)),f11(X3,union_of_members(top_of_basis(subspace_topology(X0,X1,X2))))),top_of_basis(X4))
      | element_of_collection(union_of_members(top_of_basis(subspace_topology(X0,X1,X2))),top_of_basis(X3))
      | equal_sets(f10(subspace_topology(X0,X1,X2),f1(top_of_basis(subspace_topology(X0,X1,X2)),f11(X3,union_of_members(top_of_basis(subspace_topology(X0,X1,X2))))),f11(X4,f1(top_of_basis(subspace_topology(X0,X1,X2)),f11(X3,union_of_members(top_of_basis(subspace_topology(X0,X1,X2))))))),intersection_of_sets(X2,f12(X0,X1,X2,f10(subspace_topology(X0,X1,X2),f1(top_of_basis(subspace_topology(X0,X1,X2)),f11(X3,union_of_members(top_of_basis(subspace_topology(X0,X1,X2))))),f11(X4,f1(top_of_basis(subspace_topology(X0,X1,X2)),f11(X3,union_of_members(top_of_basis(subspace_topology(X0,X1,X2)))))))))) ),
    inference(resolution,[status(thm)],[f173,f710]) ).

fof(f1114,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2))),top_of_basis(X4))
      | element_of_collection(union_of_members(top_of_basis(subspace_topology(X0,X1,X2))),top_of_basis(X3))
      | equal_sets(f10(subspace_topology(X0,X1,X2),f1(top_of_basis(subspace_topology(X0,X1,X2)),f11(X3,union_of_members(top_of_basis(subspace_topology(X0,X1,X2))))),f11(X4,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2))))),intersection_of_sets(X2,f12(X0,X1,X2,f10(subspace_topology(X0,X1,X2),f1(top_of_basis(subspace_topology(X0,X1,X2)),f11(X3,union_of_members(top_of_basis(subspace_topology(X0,X1,X2))))),f11(X4,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2)))))))) ),
    inference(resolution,[status(thm)],[f173,f711]) ).

fof(f1115,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(union_of_members(top_of_basis(subspace_topology(X0,X1,X2))),top_of_basis(X3))
      | equal_sets(f10(subspace_topology(X0,X1,X2),f1(top_of_basis(subspace_topology(X0,X1,X2)),f11(X3,union_of_members(top_of_basis(subspace_topology(X0,X1,X2))))),f11(X3,union_of_members(top_of_basis(subspace_topology(X0,X1,X2))))),intersection_of_sets(X2,f12(X0,X1,X2,f10(subspace_topology(X0,X1,X2),f1(top_of_basis(subspace_topology(X0,X1,X2)),f11(X3,union_of_members(top_of_basis(subspace_topology(X0,X1,X2))))),f11(X3,union_of_members(top_of_basis(subspace_topology(X0,X1,X2)))))))) ),
    inference(resolution,[status(thm)],[f173,f712]) ).

fof(f1116,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(f1(top_of_basis(subspace_topology(X0,X1,X2)),f11(X3,f2(top_of_basis(subspace_topology(X0,X1,X2)),X4))),top_of_basis(X5))
      | element_of_set(X4,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2))))
      | element_of_collection(f2(top_of_basis(subspace_topology(X0,X1,X2)),X4),top_of_basis(X3))
      | equal_sets(f10(subspace_topology(X0,X1,X2),f1(top_of_basis(subspace_topology(X0,X1,X2)),f11(X3,f2(top_of_basis(subspace_topology(X0,X1,X2)),X4))),f11(X5,f1(top_of_basis(subspace_topology(X0,X1,X2)),f11(X3,f2(top_of_basis(subspace_topology(X0,X1,X2)),X4))))),intersection_of_sets(X2,f12(X0,X1,X2,f10(subspace_topology(X0,X1,X2),f1(top_of_basis(subspace_topology(X0,X1,X2)),f11(X3,f2(top_of_basis(subspace_topology(X0,X1,X2)),X4))),f11(X5,f1(top_of_basis(subspace_topology(X0,X1,X2)),f11(X3,f2(top_of_basis(subspace_topology(X0,X1,X2)),X4)))))))) ),
    inference(resolution,[status(thm)],[f173,f612]) ).

fof(f1117,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2))),top_of_basis(X5))
      | element_of_set(X4,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2))))
      | element_of_collection(f2(top_of_basis(subspace_topology(X0,X1,X2)),X4),top_of_basis(X3))
      | equal_sets(f10(subspace_topology(X0,X1,X2),f1(top_of_basis(subspace_topology(X0,X1,X2)),f11(X3,f2(top_of_basis(subspace_topology(X0,X1,X2)),X4))),f11(X5,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2))))),intersection_of_sets(X2,f12(X0,X1,X2,f10(subspace_topology(X0,X1,X2),f1(top_of_basis(subspace_topology(X0,X1,X2)),f11(X3,f2(top_of_basis(subspace_topology(X0,X1,X2)),X4))),f11(X5,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2)))))))) ),
    inference(resolution,[status(thm)],[f173,f613]) ).

fof(f1118,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(X4,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2))))
      | element_of_collection(f2(top_of_basis(subspace_topology(X0,X1,X2)),X4),top_of_basis(X3))
      | equal_sets(f10(subspace_topology(X0,X1,X2),f1(top_of_basis(subspace_topology(X0,X1,X2)),f11(X3,f2(top_of_basis(subspace_topology(X0,X1,X2)),X4))),f11(X3,f2(top_of_basis(subspace_topology(X0,X1,X2)),X4))),intersection_of_sets(X2,f12(X0,X1,X2,f10(subspace_topology(X0,X1,X2),f1(top_of_basis(subspace_topology(X0,X1,X2)),f11(X3,f2(top_of_basis(subspace_topology(X0,X1,X2)),X4))),f11(X3,f2(top_of_basis(subspace_topology(X0,X1,X2)),X4)))))) ),
    inference(resolution,[status(thm)],[f173,f614]) ).

fof(f1119,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ4_spl
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(subspace_topology(X0,X1,X2)))),top_of_basis(X3))
      | equal_sets(f10(subspace_topology(X0,X1,X2),f1(top_of_basis(subspace_topology(X0,X1,X2)),f11(X3,intersection_of_members(top_of_basis(top_of_basis(subspace_topology(X0,X1,X2)))))),f11(X3,intersection_of_members(top_of_basis(top_of_basis(subspace_topology(X0,X1,X2)))))),intersection_of_sets(X2,f12(X0,X1,X2,f10(subspace_topology(X0,X1,X2),f1(top_of_basis(subspace_topology(X0,X1,X2)),f11(X3,intersection_of_members(top_of_basis(top_of_basis(subspace_topology(X0,X1,X2)))))),f11(X3,intersection_of_members(top_of_basis(top_of_basis(subspace_topology(X0,X1,X2))))))))) ),
    inference(resolution,[status(thm)],[f173,f648]) ).

fof(f1120,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ4_spl
      | element_of_collection(intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2))),top_of_basis(X4))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(subspace_topology(X0,X1,X2)))),top_of_basis(X3))
      | equal_sets(f10(subspace_topology(X0,X1,X2),f1(top_of_basis(subspace_topology(X0,X1,X2)),f11(X3,intersection_of_members(top_of_basis(top_of_basis(subspace_topology(X0,X1,X2)))))),f11(X4,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2))))),intersection_of_sets(X2,f12(X0,X1,X2,f10(subspace_topology(X0,X1,X2),f1(top_of_basis(subspace_topology(X0,X1,X2)),f11(X3,intersection_of_members(top_of_basis(top_of_basis(subspace_topology(X0,X1,X2)))))),f11(X4,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2)))))))) ),
    inference(resolution,[status(thm)],[f173,f649]) ).

fof(f1121,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ4_spl
      | element_of_collection(intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2))),top_of_basis(X4))
      | element_of_collection(intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2))),top_of_basis(X3))
      | equal_sets(f10(subspace_topology(X0,X1,X2),f1(top_of_basis(subspace_topology(X0,X1,X2)),f11(X3,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2))))),f11(X4,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2))))),intersection_of_sets(X2,f12(X0,X1,X2,f10(subspace_topology(X0,X1,X2),f1(top_of_basis(subspace_topology(X0,X1,X2)),f11(X3,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2))))),f11(X4,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2)))))))) ),
    inference(resolution,[status(thm)],[f173,f589]) ).

fof(f1122,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ4_spl
      | element_of_collection(intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2))),top_of_basis(X3))
      | equal_sets(f10(subspace_topology(X0,X1,X2),f1(top_of_basis(subspace_topology(X0,X1,X2)),f11(X3,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2))))),f11(X3,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2))))),intersection_of_sets(X2,f12(X0,X1,X2,f10(subspace_topology(X0,X1,X2),f1(top_of_basis(subspace_topology(X0,X1,X2)),f11(X3,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2))))),f11(X3,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2)))))))) ),
    inference(resolution,[status(thm)],[f173,f590]) ).

fof(f1123,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ4_spl
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(subspace_topology(X0,X1,X2)))),top_of_basis(X3))
      | equal_sets(f1(subspace_topology(X0,X1,X2),f11(X3,intersection_of_members(top_of_basis(top_of_basis(subspace_topology(X0,X1,X2)))))),intersection_of_sets(X2,f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,intersection_of_members(top_of_basis(top_of_basis(subspace_topology(X0,X1,X2))))))))) ),
    inference(resolution,[status(thm)],[f173,f667]) ).

fof(f1124,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ4_spl
      | element_of_collection(intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2))),top_of_basis(X3))
      | equal_sets(f1(subspace_topology(X0,X1,X2),f11(X3,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2))))),intersection_of_sets(X2,f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2)))))))) ),
    inference(resolution,[status(thm)],[f173,f598]) ).

fof(f1125,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ4_spl
      | element_of_collection(intersection_of_members(subspace_topology(X0,X1,X2)),top_of_basis(X3))
      | equal_sets(f1(subspace_topology(X0,X1,X2),f11(X3,intersection_of_members(subspace_topology(X0,X1,X2)))),intersection_of_sets(X2,f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,intersection_of_members(subspace_topology(X0,X1,X2))))))) ),
    inference(resolution,[status(thm)],[f173,f418]) ).

fof(f1126,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(union_of_members(top_of_basis(subspace_topology(X0,X1,X2))),top_of_basis(X3))
      | equal_sets(f1(subspace_topology(X0,X1,X2),f11(X3,union_of_members(top_of_basis(subspace_topology(X0,X1,X2))))),intersection_of_sets(X2,f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,union_of_members(top_of_basis(subspace_topology(X0,X1,X2)))))))) ),
    inference(resolution,[status(thm)],[f173,f720]) ).

fof(f1127,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(union_of_members(subspace_topology(X0,X1,X2)),top_of_basis(X3))
      | equal_sets(f1(subspace_topology(X0,X1,X2),f11(X3,union_of_members(subspace_topology(X0,X1,X2)))),intersection_of_sets(X2,f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,union_of_members(subspace_topology(X0,X1,X2))))))) ),
    inference(resolution,[status(thm)],[f173,f292]) ).

fof(f1128,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ4_spl
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X4,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2))))),top_of_basis(X3))
      | element_of_collection(intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2))),top_of_basis(X4))
      | equal_sets(f1(subspace_topology(X0,X1,X2),f11(X3,f1(subspace_topology(X0,X1,X2),f11(X4,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2))))))),intersection_of_sets(X2,f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,f1(subspace_topology(X0,X1,X2),f11(X4,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2)))))))))) ),
    inference(resolution,[status(thm)],[f173,f629]) ).

fof(f1129,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ4_spl
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X4,intersection_of_members(subspace_topology(X0,X1,X2)))),top_of_basis(X3))
      | element_of_collection(intersection_of_members(subspace_topology(X0,X1,X2)),top_of_basis(X4))
      | equal_sets(f1(subspace_topology(X0,X1,X2),f11(X3,f1(subspace_topology(X0,X1,X2),f11(X4,intersection_of_members(subspace_topology(X0,X1,X2)))))),intersection_of_sets(X2,f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,f1(subspace_topology(X0,X1,X2),f11(X4,intersection_of_members(subspace_topology(X0,X1,X2))))))))) ),
    inference(resolution,[status(thm)],[f173,f453]) ).

fof(f1130,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X4,union_of_members(top_of_basis(subspace_topology(X0,X1,X2))))),top_of_basis(X3))
      | element_of_collection(union_of_members(top_of_basis(subspace_topology(X0,X1,X2))),top_of_basis(X4))
      | equal_sets(f1(subspace_topology(X0,X1,X2),f11(X3,f1(subspace_topology(X0,X1,X2),f11(X4,union_of_members(top_of_basis(subspace_topology(X0,X1,X2))))))),intersection_of_sets(X2,f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,f1(subspace_topology(X0,X1,X2),f11(X4,union_of_members(top_of_basis(subspace_topology(X0,X1,X2)))))))))) ),
    inference(resolution,[status(thm)],[f173,f731]) ).

fof(f1131,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X4,union_of_members(subspace_topology(X0,X1,X2)))),top_of_basis(X3))
      | element_of_collection(union_of_members(subspace_topology(X0,X1,X2)),top_of_basis(X4))
      | equal_sets(f1(subspace_topology(X0,X1,X2),f11(X3,f1(subspace_topology(X0,X1,X2),f11(X4,union_of_members(subspace_topology(X0,X1,X2)))))),intersection_of_sets(X2,f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,f1(subspace_topology(X0,X1,X2),f11(X4,union_of_members(subspace_topology(X0,X1,X2))))))))) ),
    inference(resolution,[status(thm)],[f173,f393]) ).

fof(f1132,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ4_spl
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X5,intersection_of_members(subspace_topology(X0,X1,X2)))))),top_of_basis(X3))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X5,intersection_of_members(subspace_topology(X0,X1,X2)))),top_of_basis(X4))
      | element_of_collection(intersection_of_members(subspace_topology(X0,X1,X2)),top_of_basis(X5))
      | equal_sets(f1(subspace_topology(X0,X1,X2),f11(X3,f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X5,intersection_of_members(subspace_topology(X0,X1,X2)))))))),intersection_of_sets(X2,f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X5,intersection_of_members(subspace_topology(X0,X1,X2))))))))))) ),
    inference(resolution,[status(thm)],[f173,f480]) ).

fof(f1133,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X5,union_of_members(subspace_topology(X0,X1,X2)))))),top_of_basis(X3))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X5,union_of_members(subspace_topology(X0,X1,X2)))),top_of_basis(X4))
      | element_of_collection(union_of_members(subspace_topology(X0,X1,X2)),top_of_basis(X5))
      | equal_sets(f1(subspace_topology(X0,X1,X2),f11(X3,f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X5,union_of_members(subspace_topology(X0,X1,X2)))))))),intersection_of_sets(X2,f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X5,union_of_members(subspace_topology(X0,X1,X2))))))))))) ),
    inference(resolution,[status(thm)],[f173,f462]) ).

fof(f1134,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ4_spl
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,intersection_of_members(subspace_topology(X0,X1,X2)))))))),top_of_basis(X3))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,intersection_of_members(subspace_topology(X0,X1,X2)))))),top_of_basis(X4))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X6,intersection_of_members(subspace_topology(X0,X1,X2)))),top_of_basis(X5))
      | element_of_collection(intersection_of_members(subspace_topology(X0,X1,X2)),top_of_basis(X6))
      | equal_sets(f1(subspace_topology(X0,X1,X2),f11(X3,f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,intersection_of_members(subspace_topology(X0,X1,X2)))))))))),intersection_of_sets(X2,f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,intersection_of_members(subspace_topology(X0,X1,X2))))))))))))) ),
    inference(resolution,[status(thm)],[f173,f491]) ).

fof(f1135,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,union_of_members(subspace_topology(X0,X1,X2)))))))),top_of_basis(X3))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,union_of_members(subspace_topology(X0,X1,X2)))))),top_of_basis(X4))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X6,union_of_members(subspace_topology(X0,X1,X2)))),top_of_basis(X5))
      | element_of_collection(union_of_members(subspace_topology(X0,X1,X2)),top_of_basis(X6))
      | equal_sets(f1(subspace_topology(X0,X1,X2),f11(X3,f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,union_of_members(subspace_topology(X0,X1,X2)))))))))),intersection_of_sets(X2,f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,union_of_members(subspace_topology(X0,X1,X2))))))))))))) ),
    inference(resolution,[status(thm)],[f173,f473]) ).

fof(f1136,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ4_spl
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,intersection_of_members(subspace_topology(X0,X1,X2)))))))))),top_of_basis(X3))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,intersection_of_members(subspace_topology(X0,X1,X2)))))))),top_of_basis(X4))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,intersection_of_members(subspace_topology(X0,X1,X2)))))),top_of_basis(X5))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X7,intersection_of_members(subspace_topology(X0,X1,X2)))),top_of_basis(X6))
      | element_of_collection(intersection_of_members(subspace_topology(X0,X1,X2)),top_of_basis(X7))
      | equal_sets(f1(subspace_topology(X0,X1,X2),f11(X3,f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,intersection_of_members(subspace_topology(X0,X1,X2)))))))))))),intersection_of_sets(X2,f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,intersection_of_members(subspace_topology(X0,X1,X2))))))))))))))) ),
    inference(resolution,[status(thm)],[f173,f511]) ).

fof(f1137,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,union_of_members(subspace_topology(X0,X1,X2)))))))))),top_of_basis(X3))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,union_of_members(subspace_topology(X0,X1,X2)))))))),top_of_basis(X4))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,union_of_members(subspace_topology(X0,X1,X2)))))),top_of_basis(X5))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X7,union_of_members(subspace_topology(X0,X1,X2)))),top_of_basis(X6))
      | element_of_collection(union_of_members(subspace_topology(X0,X1,X2)),top_of_basis(X7))
      | equal_sets(f1(subspace_topology(X0,X1,X2),f11(X3,f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,union_of_members(subspace_topology(X0,X1,X2)))))))))))),intersection_of_sets(X2,f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,union_of_members(subspace_topology(X0,X1,X2))))))))))))))) ),
    inference(resolution,[status(thm)],[f173,f509]) ).

fof(f1138,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,f1(subspace_topology(X0,X1,X2),f11(X8,union_of_members(subspace_topology(X0,X1,X2)))))))))))),top_of_basis(X3))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,f1(subspace_topology(X0,X1,X2),f11(X8,union_of_members(subspace_topology(X0,X1,X2)))))))))),top_of_basis(X4))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,f1(subspace_topology(X0,X1,X2),f11(X8,union_of_members(subspace_topology(X0,X1,X2)))))))),top_of_basis(X5))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X7,f1(subspace_topology(X0,X1,X2),f11(X8,union_of_members(subspace_topology(X0,X1,X2)))))),top_of_basis(X6))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X8,union_of_members(subspace_topology(X0,X1,X2)))),top_of_basis(X7))
      | element_of_collection(union_of_members(subspace_topology(X0,X1,X2)),top_of_basis(X8))
      | equal_sets(f1(subspace_topology(X0,X1,X2),f11(X3,f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,f1(subspace_topology(X0,X1,X2),f11(X8,union_of_members(subspace_topology(X0,X1,X2)))))))))))))),intersection_of_sets(X2,f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,f1(subspace_topology(X0,X1,X2),f11(X8,union_of_members(subspace_topology(X0,X1,X2))))))))))))))))) ),
    inference(resolution,[status(thm)],[f173,f522]) ).

fof(f1139,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,f1(subspace_topology(X0,X1,X2),f11(X8,f1(subspace_topology(X0,X1,X2),f11(X9,union_of_members(subspace_topology(X0,X1,X2)))))))))))))),top_of_basis(X3))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,f1(subspace_topology(X0,X1,X2),f11(X8,f1(subspace_topology(X0,X1,X2),f11(X9,union_of_members(subspace_topology(X0,X1,X2)))))))))))),top_of_basis(X4))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,f1(subspace_topology(X0,X1,X2),f11(X8,f1(subspace_topology(X0,X1,X2),f11(X9,union_of_members(subspace_topology(X0,X1,X2)))))))))),top_of_basis(X5))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X7,f1(subspace_topology(X0,X1,X2),f11(X8,f1(subspace_topology(X0,X1,X2),f11(X9,union_of_members(subspace_topology(X0,X1,X2)))))))),top_of_basis(X6))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X8,f1(subspace_topology(X0,X1,X2),f11(X9,union_of_members(subspace_topology(X0,X1,X2)))))),top_of_basis(X7))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X9,union_of_members(subspace_topology(X0,X1,X2)))),top_of_basis(X8))
      | element_of_collection(union_of_members(subspace_topology(X0,X1,X2)),top_of_basis(X9))
      | equal_sets(f1(subspace_topology(X0,X1,X2),f11(X3,f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,f1(subspace_topology(X0,X1,X2),f11(X8,f1(subspace_topology(X0,X1,X2),f11(X9,union_of_members(subspace_topology(X0,X1,X2)))))))))))))))),intersection_of_sets(X2,f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,f1(subspace_topology(X0,X1,X2),f11(X8,f1(subspace_topology(X0,X1,X2),f11(X9,union_of_members(subspace_topology(X0,X1,X2))))))))))))))))))) ),
    inference(resolution,[status(thm)],[f173,f533]) ).

fof(f1140,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,f1(subspace_topology(X0,X1,X2),f11(X8,f1(subspace_topology(X0,X1,X2),f11(X9,f1(subspace_topology(X0,X1,X2),f11(X10,f2(subspace_topology(X0,X1,X2),X11))))))))))))))),top_of_basis(X3))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,f1(subspace_topology(X0,X1,X2),f11(X8,f1(subspace_topology(X0,X1,X2),f11(X9,f1(subspace_topology(X0,X1,X2),f11(X10,f2(subspace_topology(X0,X1,X2),X11))))))))))))),top_of_basis(X4))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,f1(subspace_topology(X0,X1,X2),f11(X8,f1(subspace_topology(X0,X1,X2),f11(X9,f1(subspace_topology(X0,X1,X2),f11(X10,f2(subspace_topology(X0,X1,X2),X11))))))))))),top_of_basis(X5))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X7,f1(subspace_topology(X0,X1,X2),f11(X8,f1(subspace_topology(X0,X1,X2),f11(X9,f1(subspace_topology(X0,X1,X2),f11(X10,f2(subspace_topology(X0,X1,X2),X11))))))))),top_of_basis(X6))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X8,f1(subspace_topology(X0,X1,X2),f11(X9,f1(subspace_topology(X0,X1,X2),f11(X10,f2(subspace_topology(X0,X1,X2),X11))))))),top_of_basis(X7))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X9,f1(subspace_topology(X0,X1,X2),f11(X10,f2(subspace_topology(X0,X1,X2),X11))))),top_of_basis(X8))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X10,f2(subspace_topology(X0,X1,X2),X11))),top_of_basis(X9))
      | element_of_set(X11,intersection_of_members(subspace_topology(X0,X1,X2)))
      | element_of_collection(f2(subspace_topology(X0,X1,X2),X11),top_of_basis(X10))
      | equal_sets(f1(subspace_topology(X0,X1,X2),f11(X3,f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,f1(subspace_topology(X0,X1,X2),f11(X8,f1(subspace_topology(X0,X1,X2),f11(X9,f1(subspace_topology(X0,X1,X2),f11(X10,f2(subspace_topology(X0,X1,X2),X11))))))))))))))))),intersection_of_sets(X2,f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,f1(subspace_topology(X0,X1,X2),f11(X8,f1(subspace_topology(X0,X1,X2),f11(X9,f1(subspace_topology(X0,X1,X2),f11(X10,f2(subspace_topology(X0,X1,X2),X11)))))))))))))))))))) ),
    inference(resolution,[status(thm)],[f173,f336]) ).

fof(f1141,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,f1(subspace_topology(X0,X1,X2),f11(X8,f1(subspace_topology(X0,X1,X2),f11(X9,f2(subspace_topology(X0,X1,X2),X10))))))))))))),top_of_basis(X3))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,f1(subspace_topology(X0,X1,X2),f11(X8,f1(subspace_topology(X0,X1,X2),f11(X9,f2(subspace_topology(X0,X1,X2),X10))))))))))),top_of_basis(X4))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,f1(subspace_topology(X0,X1,X2),f11(X8,f1(subspace_topology(X0,X1,X2),f11(X9,f2(subspace_topology(X0,X1,X2),X10))))))))),top_of_basis(X5))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X7,f1(subspace_topology(X0,X1,X2),f11(X8,f1(subspace_topology(X0,X1,X2),f11(X9,f2(subspace_topology(X0,X1,X2),X10))))))),top_of_basis(X6))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X8,f1(subspace_topology(X0,X1,X2),f11(X9,f2(subspace_topology(X0,X1,X2),X10))))),top_of_basis(X7))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X9,f2(subspace_topology(X0,X1,X2),X10))),top_of_basis(X8))
      | element_of_set(X10,intersection_of_members(subspace_topology(X0,X1,X2)))
      | element_of_collection(f2(subspace_topology(X0,X1,X2),X10),top_of_basis(X9))
      | equal_sets(f1(subspace_topology(X0,X1,X2),f11(X3,f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,f1(subspace_topology(X0,X1,X2),f11(X8,f1(subspace_topology(X0,X1,X2),f11(X9,f2(subspace_topology(X0,X1,X2),X10))))))))))))))),intersection_of_sets(X2,f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,f1(subspace_topology(X0,X1,X2),f11(X8,f1(subspace_topology(X0,X1,X2),f11(X9,f2(subspace_topology(X0,X1,X2),X10)))))))))))))))))) ),
    inference(resolution,[status(thm)],[f173,f330]) ).

fof(f1142,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,f1(subspace_topology(X0,X1,X2),f11(X8,f2(subspace_topology(X0,X1,X2),X9))))))))))),top_of_basis(X3))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,f1(subspace_topology(X0,X1,X2),f11(X8,f2(subspace_topology(X0,X1,X2),X9))))))))),top_of_basis(X4))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,f1(subspace_topology(X0,X1,X2),f11(X8,f2(subspace_topology(X0,X1,X2),X9))))))),top_of_basis(X5))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X7,f1(subspace_topology(X0,X1,X2),f11(X8,f2(subspace_topology(X0,X1,X2),X9))))),top_of_basis(X6))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X8,f2(subspace_topology(X0,X1,X2),X9))),top_of_basis(X7))
      | element_of_set(X9,intersection_of_members(subspace_topology(X0,X1,X2)))
      | element_of_collection(f2(subspace_topology(X0,X1,X2),X9),top_of_basis(X8))
      | equal_sets(f1(subspace_topology(X0,X1,X2),f11(X3,f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,f1(subspace_topology(X0,X1,X2),f11(X8,f2(subspace_topology(X0,X1,X2),X9))))))))))))),intersection_of_sets(X2,f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,f1(subspace_topology(X0,X1,X2),f11(X8,f2(subspace_topology(X0,X1,X2),X9)))))))))))))))) ),
    inference(resolution,[status(thm)],[f173,f324]) ).

fof(f1143,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,f2(subspace_topology(X0,X1,X2),X8))))))))),top_of_basis(X3))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,f2(subspace_topology(X0,X1,X2),X8))))))),top_of_basis(X4))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,f2(subspace_topology(X0,X1,X2),X8))))),top_of_basis(X5))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X7,f2(subspace_topology(X0,X1,X2),X8))),top_of_basis(X6))
      | element_of_set(X8,intersection_of_members(subspace_topology(X0,X1,X2)))
      | element_of_collection(f2(subspace_topology(X0,X1,X2),X8),top_of_basis(X7))
      | equal_sets(f1(subspace_topology(X0,X1,X2),f11(X3,f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,f2(subspace_topology(X0,X1,X2),X8))))))))))),intersection_of_sets(X2,f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,f1(subspace_topology(X0,X1,X2),f11(X7,f2(subspace_topology(X0,X1,X2),X8)))))))))))))) ),
    inference(resolution,[status(thm)],[f173,f318]) ).

fof(f1144,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,f2(subspace_topology(X0,X1,X2),X7))))))),top_of_basis(X3))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,f2(subspace_topology(X0,X1,X2),X7))))),top_of_basis(X4))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X6,f2(subspace_topology(X0,X1,X2),X7))),top_of_basis(X5))
      | element_of_set(X7,intersection_of_members(subspace_topology(X0,X1,X2)))
      | element_of_collection(f2(subspace_topology(X0,X1,X2),X7),top_of_basis(X6))
      | equal_sets(f1(subspace_topology(X0,X1,X2),f11(X3,f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,f2(subspace_topology(X0,X1,X2),X7))))))))),intersection_of_sets(X2,f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X5,f1(subspace_topology(X0,X1,X2),f11(X6,f2(subspace_topology(X0,X1,X2),X7)))))))))))) ),
    inference(resolution,[status(thm)],[f173,f312]) ).

fof(f1145,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X5,f2(subspace_topology(X0,X1,X2),X6))))),top_of_basis(X3))
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X5,f2(subspace_topology(X0,X1,X2),X6))),top_of_basis(X4))
      | element_of_set(X6,intersection_of_members(subspace_topology(X0,X1,X2)))
      | element_of_collection(f2(subspace_topology(X0,X1,X2),X6),top_of_basis(X5))
      | equal_sets(f1(subspace_topology(X0,X1,X2),f11(X3,f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X5,f2(subspace_topology(X0,X1,X2),X6))))))),intersection_of_sets(X2,f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,f1(subspace_topology(X0,X1,X2),f11(X4,f1(subspace_topology(X0,X1,X2),f11(X5,f2(subspace_topology(X0,X1,X2),X6)))))))))) ),
    inference(resolution,[status(thm)],[f173,f306]) ).

fof(f1146,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X4,f2(subspace_topology(X0,X1,X2),X5))),top_of_basis(X3))
      | element_of_set(X5,intersection_of_members(subspace_topology(X0,X1,X2)))
      | element_of_collection(f2(subspace_topology(X0,X1,X2),X5),top_of_basis(X4))
      | equal_sets(f1(subspace_topology(X0,X1,X2),f11(X3,f1(subspace_topology(X0,X1,X2),f11(X4,f2(subspace_topology(X0,X1,X2),X5))))),intersection_of_sets(X2,f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,f1(subspace_topology(X0,X1,X2),f11(X4,f2(subspace_topology(X0,X1,X2),X5)))))))) ),
    inference(resolution,[status(thm)],[f173,f300]) ).

fof(f1147,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(X4,intersection_of_members(subspace_topology(X0,X1,X2)))
      | element_of_collection(f2(subspace_topology(X0,X1,X2),X4),top_of_basis(X3))
      | equal_sets(f1(subspace_topology(X0,X1,X2),f11(X3,f2(subspace_topology(X0,X1,X2),X4))),intersection_of_sets(X2,f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,f2(subspace_topology(X0,X1,X2),X4)))))) ),
    inference(resolution,[status(thm)],[f173,f294]) ).

fof(f1148,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(subspace_topology(X0,X1,X2)))
      | equal_sets(f2(subspace_topology(X0,X1,X2),X3),intersection_of_sets(X2,f12(X0,X1,X2,f2(subspace_topology(X0,X1,X2),X3)))) ),
    inference(resolution,[status(thm)],[f173,f119]) ).

fof(f1149,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ4_spl
      | subset_sets(f10(X4,intersection_of_members(subspace_topology(X0,X1,X3)),X2),intersection_of_members(subspace_topology(X0,X1,X3)))
      | ~ element_of_set(X2,intersection_of_members(subspace_topology(X0,X1,X3)))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f798,f164]) ).

fof(f1150,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ4_spl
      | element_of_collection(f10(X4,intersection_of_members(subspace_topology(X0,X1,X3)),X2),X4)
      | ~ element_of_set(X2,intersection_of_members(subspace_topology(X0,X1,X3)))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f798,f163]) ).

fof(f1151,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ4_spl
      | element_of_set(X2,f10(X4,intersection_of_members(subspace_topology(X0,X1,X3)),X2))
      | ~ element_of_set(X2,intersection_of_members(subspace_topology(X0,X1,X3)))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f798,f162]) ).

fof(f1152,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ4_spl
      | element_of_set(f11(X3,intersection_of_members(top_of_basis(X2))),intersection_of_members(subspace_topology(X0,X1,X4)))
      | element_of_collection(intersection_of_members(top_of_basis(X2)),top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f798,f291]) ).

fof(f1153,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ4_spl
      | ~ element_of_set(X2,intersection_of_members(subspace_topology(X0,X1,X4)))
      | element_of_set(X2,union_of_members(top_of_basis(X3)))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f798,f116]) ).

fof(f1154,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ4_spl
      | subset_sets(f10(X4,intersection_of_members(subspace_topology(X1,X3,X0)),X2),intersection_of_members(subspace_topology(X1,X3,X0)))
      | ~ element_of_set(X2,intersection_of_members(subspace_topology(X1,X3,X0)))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f874,f164]) ).

fof(f1155,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ4_spl
      | element_of_collection(f10(X4,intersection_of_members(subspace_topology(X1,X3,X0)),X2),X4)
      | ~ element_of_set(X2,intersection_of_members(subspace_topology(X1,X3,X0)))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f874,f163]) ).

fof(f1156,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ4_spl
      | element_of_set(X2,f10(X4,intersection_of_members(subspace_topology(X1,X3,X0)),X2))
      | ~ element_of_set(X2,intersection_of_members(subspace_topology(X1,X3,X0)))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f874,f162]) ).

fof(f1157,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ4_spl
      | element_of_set(f11(X3,intersection_of_members(top_of_basis(X2))),intersection_of_members(subspace_topology(X1,X4,X0)))
      | element_of_collection(intersection_of_members(top_of_basis(X2)),top_of_basis(X3))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f874,f291]) ).

fof(f1158,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ4_spl
      | ~ element_of_set(X2,intersection_of_members(subspace_topology(X1,X4,X0)))
      | element_of_set(X2,union_of_members(top_of_basis(X3)))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f874,f116]) ).

fof(f1159,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ4_spl
      | subset_sets(f10(X4,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X3))),X2),intersection_of_members(top_of_basis(subspace_topology(X0,X1,X3))))
      | ~ element_of_set(X2,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X3))))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f795,f164]) ).

fof(f1160,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ4_spl
      | element_of_collection(f10(X4,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X3))),X2),X4)
      | ~ element_of_set(X2,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X3))))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f795,f163]) ).

fof(f1161,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ4_spl
      | element_of_set(X2,f10(X4,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X3))),X2))
      | ~ element_of_set(X2,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X3))))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f795,f162]) ).

fof(f1162,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ4_spl
      | element_of_set(f11(X3,intersection_of_members(top_of_basis(X2))),intersection_of_members(top_of_basis(subspace_topology(X0,X1,X4))))
      | element_of_collection(intersection_of_members(top_of_basis(X2)),top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f795,f291]) ).

fof(f1163,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ4_spl
      | ~ element_of_set(X2,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X4))))
      | element_of_set(X2,union_of_members(top_of_basis(X3)))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f795,f116]) ).

fof(f1164,plain,
    ! [X0,X1,X2,X3,X4] :
      ( subset_sets(f10(X4,union_of_members(top_of_basis(subspace_topology(X0,X1,X3))),X2),union_of_members(top_of_basis(subspace_topology(X0,X1,X3))))
      | ~ element_of_set(X2,union_of_members(top_of_basis(subspace_topology(X0,X1,X3))))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f799,f164]) ).

fof(f1165,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f10(X4,union_of_members(top_of_basis(subspace_topology(X0,X1,X3))),X2),X4)
      | ~ element_of_set(X2,union_of_members(top_of_basis(subspace_topology(X0,X1,X3))))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f799,f163]) ).

fof(f1166,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(X2,f10(X4,union_of_members(top_of_basis(subspace_topology(X0,X1,X3))),X2))
      | ~ element_of_set(X2,union_of_members(top_of_basis(subspace_topology(X0,X1,X3))))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f799,f162]) ).

fof(f1167,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(f11(X3,intersection_of_members(top_of_basis(X2))),union_of_members(top_of_basis(subspace_topology(X0,X1,X4))))
      | element_of_collection(intersection_of_members(top_of_basis(X2)),top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f799,f291]) ).

fof(f1168,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ element_of_set(X2,union_of_members(top_of_basis(subspace_topology(X0,X1,X4))))
      | element_of_set(X2,union_of_members(top_of_basis(X3)))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f799,f116]) ).

fof(f1169,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ4_spl
      | subset_sets(f10(X4,intersection_of_members(top_of_basis(subspace_topology(X1,X3,X0))),X2),intersection_of_members(top_of_basis(subspace_topology(X1,X3,X0))))
      | ~ element_of_set(X2,intersection_of_members(top_of_basis(subspace_topology(X1,X3,X0))))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f871,f164]) ).

fof(f1170,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ4_spl
      | element_of_collection(f10(X4,intersection_of_members(top_of_basis(subspace_topology(X1,X3,X0))),X2),X4)
      | ~ element_of_set(X2,intersection_of_members(top_of_basis(subspace_topology(X1,X3,X0))))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f871,f163]) ).

fof(f1171,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ4_spl
      | element_of_set(X2,f10(X4,intersection_of_members(top_of_basis(subspace_topology(X1,X3,X0))),X2))
      | ~ element_of_set(X2,intersection_of_members(top_of_basis(subspace_topology(X1,X3,X0))))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f871,f162]) ).

fof(f1172,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ4_spl
      | element_of_set(f11(X3,intersection_of_members(top_of_basis(X2))),intersection_of_members(top_of_basis(subspace_topology(X1,X4,X0))))
      | element_of_collection(intersection_of_members(top_of_basis(X2)),top_of_basis(X3))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f871,f291]) ).

fof(f1173,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ4_spl
      | ~ element_of_set(X2,intersection_of_members(top_of_basis(subspace_topology(X1,X4,X0))))
      | element_of_set(X2,union_of_members(top_of_basis(X3)))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f871,f116]) ).

fof(f1174,plain,
    ! [X0,X1,X2,X3,X4] :
      ( subset_sets(f10(X4,union_of_members(top_of_basis(subspace_topology(X1,X3,X0))),X2),union_of_members(top_of_basis(subspace_topology(X1,X3,X0))))
      | ~ element_of_set(X2,union_of_members(top_of_basis(subspace_topology(X1,X3,X0))))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f875,f164]) ).

fof(f1175,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f10(X4,union_of_members(top_of_basis(subspace_topology(X1,X3,X0))),X2),X4)
      | ~ element_of_set(X2,union_of_members(top_of_basis(subspace_topology(X1,X3,X0))))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f875,f163]) ).

fof(f1176,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(X2,f10(X4,union_of_members(top_of_basis(subspace_topology(X1,X3,X0))),X2))
      | ~ element_of_set(X2,union_of_members(top_of_basis(subspace_topology(X1,X3,X0))))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f875,f162]) ).

fof(f1177,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(f11(X3,intersection_of_members(top_of_basis(X2))),union_of_members(top_of_basis(subspace_topology(X1,X4,X0))))
      | element_of_collection(intersection_of_members(top_of_basis(X2)),top_of_basis(X3))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f875,f291]) ).

fof(f1178,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ element_of_set(X2,union_of_members(top_of_basis(subspace_topology(X1,X4,X0))))
      | element_of_set(X2,union_of_members(top_of_basis(X3)))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f875,f116]) ).

fof(f1179,plain,
    ! [X0,X1,X2,X3] :
      ( ~ subset_sets(union_of_members(X1),f10(X1,f2(top_of_basis(X1),X0),f11(X2,f2(top_of_basis(X1),X0))))
      | ~ element_of_collection(union_of_members(X1),X3)
      | element_of_collection(f10(X1,f2(top_of_basis(X1),X0),f11(X2,f2(top_of_basis(X1),X0))),top_of_basis(X3))
      | element_of_collection(f10(X1,f2(top_of_basis(X1),X0),f11(X2,f2(top_of_basis(X1),X0))),top_of_basis(X3))
      | element_of_collection(f2(top_of_basis(X1),X0),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f733,f167]) ).

fof(f1180,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f1(X1,f11(X3,f10(X1,f2(top_of_basis(X1),X0),f11(X2,f2(top_of_basis(X1),X0))))),X1)
      | element_of_collection(f10(X1,f2(top_of_basis(X1),X0),f11(X2,f2(top_of_basis(X1),X0))),top_of_basis(X3))
      | element_of_collection(f2(top_of_basis(X1),X0),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f733,f114]) ).

fof(f1181,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(f11(X3,f10(X1,f2(top_of_basis(X1),X0),f11(X2,f2(top_of_basis(X1),X0)))),f1(X1,f11(X3,f10(X1,f2(top_of_basis(X1),X0),f11(X2,f2(top_of_basis(X1),X0))))))
      | element_of_collection(f10(X1,f2(top_of_basis(X1),X0),f11(X2,f2(top_of_basis(X1),X0))),top_of_basis(X3))
      | element_of_collection(f2(top_of_basis(X1),X0),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f733,f113]) ).

fof(f1182,plain,
    ! [X0,X1,X2,X3] :
      ( ~ subset_sets(union_of_members(X1),f10(X1,f2(top_of_basis(X1),X0),f11(X2,f2(top_of_basis(X1),X0))))
      | ~ element_of_collection(union_of_members(X1),X3)
      | element_of_collection(f10(X1,f2(top_of_basis(X1),X0),f11(X2,f2(top_of_basis(X1),X0))),top_of_basis(X3))
      | element_of_collection(f2(top_of_basis(X1),X0),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(top_of_basis(X1))) ),
    inference(duplicate_literals_removal,[status(thm)],[f1179]) ).

fof(f1183,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X2))
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X1))
      | element_of_set(f11(X2,intersection_of_members(top_of_basis(X0))),union_of_members(X0))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X2))
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f741,f706]) ).

fof(f1184,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))),f11(X2,intersection_of_members(top_of_basis(X0)))),top_of_basis(X3))
      | element_of_set(f11(X3,f10(X0,f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))),f11(X2,intersection_of_members(top_of_basis(X0))))),union_of_members(X0))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X2))
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f741,f165]) ).

fof(f1185,plain,
    ! [X0,X1,X2] :
      ( element_of_set(f11(X2,intersection_of_members(top_of_basis(X0))),union_of_members(X0))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X2))
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f1183]) ).

fof(f1186,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(union_of_members(X1),f2(top_of_basis(X1),X0))
      | ~ element_of_collection(union_of_members(X1),X2)
      | element_of_collection(f2(top_of_basis(X1),X0),top_of_basis(X2))
      | element_of_collection(f2(top_of_basis(X1),X0),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f743,f167]) ).

fof(f1187,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f1(X1,f11(X2,f2(top_of_basis(X1),X0))),X1)
      | element_of_collection(f2(top_of_basis(X1),X0),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f743,f114]) ).

fof(f1188,plain,
    ! [X0,X1,X2] :
      ( element_of_set(f11(X2,f2(top_of_basis(X1),X0)),f1(X1,f11(X2,f2(top_of_basis(X1),X0))))
      | element_of_collection(f2(top_of_basis(X1),X0),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f743,f113]) ).

fof(f1189,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(union_of_members(X1),f2(top_of_basis(X1),X0))
      | ~ element_of_collection(union_of_members(X1),X2)
      | element_of_collection(f2(top_of_basis(X1),X0),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(top_of_basis(X1))) ),
    inference(duplicate_literals_removal,[status(thm)],[f1186]) ).

fof(f1190,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ4_spl
      | subset_sets(f10(X4,intersection_of_members(top_of_basis(top_of_basis(subspace_topology(X0,X1,X3)))),X2),intersection_of_members(top_of_basis(top_of_basis(subspace_topology(X0,X1,X3)))))
      | ~ element_of_set(X2,intersection_of_members(top_of_basis(top_of_basis(subspace_topology(X0,X1,X3)))))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f792,f164]) ).

fof(f1191,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ4_spl
      | element_of_collection(f10(X4,intersection_of_members(top_of_basis(top_of_basis(subspace_topology(X0,X1,X3)))),X2),X4)
      | ~ element_of_set(X2,intersection_of_members(top_of_basis(top_of_basis(subspace_topology(X0,X1,X3)))))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f792,f163]) ).

fof(f1192,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ4_spl
      | element_of_set(X2,f10(X4,intersection_of_members(top_of_basis(top_of_basis(subspace_topology(X0,X1,X3)))),X2))
      | ~ element_of_set(X2,intersection_of_members(top_of_basis(top_of_basis(subspace_topology(X0,X1,X3)))))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f792,f162]) ).

fof(f1193,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ4_spl
      | element_of_set(f11(X3,intersection_of_members(top_of_basis(X2))),intersection_of_members(top_of_basis(top_of_basis(subspace_topology(X0,X1,X4)))))
      | element_of_collection(intersection_of_members(top_of_basis(X2)),top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f792,f291]) ).

fof(f1194,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ4_spl
      | ~ element_of_set(X2,intersection_of_members(top_of_basis(top_of_basis(subspace_topology(X0,X1,X4)))))
      | element_of_set(X2,union_of_members(top_of_basis(X3)))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f792,f116]) ).

fof(f1195,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ4_spl
      | subset_sets(f10(X4,intersection_of_members(top_of_basis(top_of_basis(subspace_topology(X1,X3,X0)))),X2),intersection_of_members(top_of_basis(top_of_basis(subspace_topology(X1,X3,X0)))))
      | ~ element_of_set(X2,intersection_of_members(top_of_basis(top_of_basis(subspace_topology(X1,X3,X0)))))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f868,f164]) ).

fof(f1196,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ4_spl
      | element_of_collection(f10(X4,intersection_of_members(top_of_basis(top_of_basis(subspace_topology(X1,X3,X0)))),X2),X4)
      | ~ element_of_set(X2,intersection_of_members(top_of_basis(top_of_basis(subspace_topology(X1,X3,X0)))))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f868,f163]) ).

fof(f1197,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ4_spl
      | element_of_set(X2,f10(X4,intersection_of_members(top_of_basis(top_of_basis(subspace_topology(X1,X3,X0)))),X2))
      | ~ element_of_set(X2,intersection_of_members(top_of_basis(top_of_basis(subspace_topology(X1,X3,X0)))))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f868,f162]) ).

fof(f1198,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ4_spl
      | element_of_set(f11(X3,intersection_of_members(top_of_basis(X2))),intersection_of_members(top_of_basis(top_of_basis(subspace_topology(X1,X4,X0)))))
      | element_of_collection(intersection_of_members(top_of_basis(X2)),top_of_basis(X3))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f868,f291]) ).

fof(f1199,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ4_spl
      | ~ element_of_set(X2,intersection_of_members(top_of_basis(top_of_basis(subspace_topology(X1,X4,X0)))))
      | element_of_set(X2,union_of_members(top_of_basis(X3)))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f868,f116]) ).

fof(f1203,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_collection(f10(top_of_basis(subspace_topology(X0,X1,X3)),f2(top_of_basis(top_of_basis(subspace_topology(X0,X1,X3))),X4),f11(X5,f2(top_of_basis(top_of_basis(subspace_topology(X0,X1,X3))),X4))),top_of_basis(X2))
      | element_of_collection(f2(top_of_basis(top_of_basis(subspace_topology(X0,X1,X3))),X4),top_of_basis(X5))
      | element_of_set(X4,intersection_of_members(top_of_basis(top_of_basis(subspace_topology(X0,X1,X3)))))
      | element_of_set(f11(X2,f10(top_of_basis(subspace_topology(X0,X1,X3)),f2(top_of_basis(top_of_basis(subspace_topology(X0,X1,X3))),X4),f11(X5,f2(top_of_basis(top_of_basis(subspace_topology(X0,X1,X3))),X4)))),union_of_members(top_of_basis(X6)))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1168,f733]) ).

fof(f1204,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ4_spl
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(top_of_basis(subspace_topology(X0,X1,X3))))),top_of_basis(X2))
      | element_of_set(f11(X2,intersection_of_members(top_of_basis(top_of_basis(top_of_basis(subspace_topology(X0,X1,X3)))))),union_of_members(top_of_basis(X4)))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1168,f666]) ).

fof(f1207,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(union_of_members(top_of_basis(top_of_basis(subspace_topology(X0,X1,X3)))),top_of_basis(X2))
      | element_of_set(f11(X2,union_of_members(top_of_basis(top_of_basis(subspace_topology(X0,X1,X3))))),union_of_members(top_of_basis(X4)))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1168,f719]) ).

fof(f1210,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X4,union_of_members(top_of_basis(top_of_basis(subspace_topology(X0,X1,X3)))))),top_of_basis(X2))
      | element_of_collection(union_of_members(top_of_basis(top_of_basis(subspace_topology(X0,X1,X3)))),top_of_basis(X4))
      | element_of_set(f11(X2,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X4,union_of_members(top_of_basis(top_of_basis(subspace_topology(X0,X1,X3))))))),union_of_members(top_of_basis(X5)))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1168,f726]) ).

fof(f1220,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
      ( element_of_collection(f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X4,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X5,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X6,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X7,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X8,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X9,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X10,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X11,f2(top_of_basis(subspace_topology(X0,X1,X3)),X12))))))))))))))))),top_of_basis(X2))
      | element_of_collection(f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X5,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X6,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X7,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X8,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X9,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X10,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X11,f2(top_of_basis(subspace_topology(X0,X1,X3)),X12))))))))))))))),top_of_basis(X4))
      | element_of_collection(f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X6,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X7,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X8,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X9,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X10,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X11,f2(top_of_basis(subspace_topology(X0,X1,X3)),X12))))))))))))),top_of_basis(X5))
      | element_of_collection(f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X7,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X8,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X9,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X10,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X11,f2(top_of_basis(subspace_topology(X0,X1,X3)),X12))))))))))),top_of_basis(X6))
      | element_of_collection(f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X8,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X9,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X10,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X11,f2(top_of_basis(subspace_topology(X0,X1,X3)),X12))))))))),top_of_basis(X7))
      | element_of_collection(f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X9,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X10,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X11,f2(top_of_basis(subspace_topology(X0,X1,X3)),X12))))))),top_of_basis(X8))
      | element_of_collection(f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X10,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X11,f2(top_of_basis(subspace_topology(X0,X1,X3)),X12))))),top_of_basis(X9))
      | element_of_collection(f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X11,f2(top_of_basis(subspace_topology(X0,X1,X3)),X12))),top_of_basis(X10))
      | element_of_set(X12,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X3))))
      | element_of_collection(f2(top_of_basis(subspace_topology(X0,X1,X3)),X12),top_of_basis(X11))
      | element_of_set(f11(X2,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X4,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X5,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X6,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X7,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X8,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X9,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X10,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X11,f2(top_of_basis(subspace_topology(X0,X1,X3)),X12)))))))))))))))))),union_of_members(top_of_basis(X13)))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1168,f340]) ).

fof(f1221,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( element_of_collection(f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X4,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X5,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X6,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X7,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X8,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X9,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X10,f2(top_of_basis(subspace_topology(X0,X1,X3)),X11))))))))))))))),top_of_basis(X2))
      | element_of_collection(f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X5,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X6,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X7,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X8,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X9,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X10,f2(top_of_basis(subspace_topology(X0,X1,X3)),X11))))))))))))),top_of_basis(X4))
      | element_of_collection(f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X6,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X7,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X8,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X9,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X10,f2(top_of_basis(subspace_topology(X0,X1,X3)),X11))))))))))),top_of_basis(X5))
      | element_of_collection(f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X7,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X8,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X9,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X10,f2(top_of_basis(subspace_topology(X0,X1,X3)),X11))))))))),top_of_basis(X6))
      | element_of_collection(f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X8,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X9,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X10,f2(top_of_basis(subspace_topology(X0,X1,X3)),X11))))))),top_of_basis(X7))
      | element_of_collection(f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X9,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X10,f2(top_of_basis(subspace_topology(X0,X1,X3)),X11))))),top_of_basis(X8))
      | element_of_collection(f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X10,f2(top_of_basis(subspace_topology(X0,X1,X3)),X11))),top_of_basis(X9))
      | element_of_set(X11,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X3))))
      | element_of_collection(f2(top_of_basis(subspace_topology(X0,X1,X3)),X11),top_of_basis(X10))
      | element_of_set(f11(X2,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X4,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X5,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X6,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X7,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X8,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X9,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X10,f2(top_of_basis(subspace_topology(X0,X1,X3)),X11)))))))))))))))),union_of_members(top_of_basis(X12)))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1168,f334]) ).

fof(f1222,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( element_of_collection(f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X4,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X5,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X6,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X7,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X8,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X9,f2(top_of_basis(subspace_topology(X0,X1,X3)),X10))))))))))))),top_of_basis(X2))
      | element_of_collection(f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X5,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X6,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X7,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X8,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X9,f2(top_of_basis(subspace_topology(X0,X1,X3)),X10))))))))))),top_of_basis(X4))
      | element_of_collection(f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X6,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X7,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X8,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X9,f2(top_of_basis(subspace_topology(X0,X1,X3)),X10))))))))),top_of_basis(X5))
      | element_of_collection(f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X7,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X8,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X9,f2(top_of_basis(subspace_topology(X0,X1,X3)),X10))))))),top_of_basis(X6))
      | element_of_collection(f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X8,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X9,f2(top_of_basis(subspace_topology(X0,X1,X3)),X10))))),top_of_basis(X7))
      | element_of_collection(f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X9,f2(top_of_basis(subspace_topology(X0,X1,X3)),X10))),top_of_basis(X8))
      | element_of_set(X10,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X3))))
      | element_of_collection(f2(top_of_basis(subspace_topology(X0,X1,X3)),X10),top_of_basis(X9))
      | element_of_set(f11(X2,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X4,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X5,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X6,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X7,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X8,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X9,f2(top_of_basis(subspace_topology(X0,X1,X3)),X10)))))))))))))),union_of_members(top_of_basis(X11)))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1168,f327]) ).

fof(f1223,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( element_of_collection(f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X4,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X5,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X6,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X7,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X8,f2(top_of_basis(subspace_topology(X0,X1,X3)),X9))))))))))),top_of_basis(X2))
      | element_of_collection(f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X5,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X6,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X7,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X8,f2(top_of_basis(subspace_topology(X0,X1,X3)),X9))))))))),top_of_basis(X4))
      | element_of_collection(f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X6,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X7,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X8,f2(top_of_basis(subspace_topology(X0,X1,X3)),X9))))))),top_of_basis(X5))
      | element_of_collection(f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X7,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X8,f2(top_of_basis(subspace_topology(X0,X1,X3)),X9))))),top_of_basis(X6))
      | element_of_collection(f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X8,f2(top_of_basis(subspace_topology(X0,X1,X3)),X9))),top_of_basis(X7))
      | element_of_set(X9,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X3))))
      | element_of_collection(f2(top_of_basis(subspace_topology(X0,X1,X3)),X9),top_of_basis(X8))
      | element_of_set(f11(X2,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X4,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X5,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X6,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X7,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X8,f2(top_of_basis(subspace_topology(X0,X1,X3)),X9)))))))))))),union_of_members(top_of_basis(X10)))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1168,f321]) ).

fof(f1224,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( element_of_collection(f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X4,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X5,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X6,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X7,f2(top_of_basis(subspace_topology(X0,X1,X3)),X8))))))))),top_of_basis(X2))
      | element_of_collection(f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X5,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X6,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X7,f2(top_of_basis(subspace_topology(X0,X1,X3)),X8))))))),top_of_basis(X4))
      | element_of_collection(f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X6,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X7,f2(top_of_basis(subspace_topology(X0,X1,X3)),X8))))),top_of_basis(X5))
      | element_of_collection(f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X7,f2(top_of_basis(subspace_topology(X0,X1,X3)),X8))),top_of_basis(X6))
      | element_of_set(X8,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X3))))
      | element_of_collection(f2(top_of_basis(subspace_topology(X0,X1,X3)),X8),top_of_basis(X7))
      | element_of_set(f11(X2,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X4,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X5,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X6,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X7,f2(top_of_basis(subspace_topology(X0,X1,X3)),X8)))))))))),union_of_members(top_of_basis(X9)))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1168,f315]) ).

fof(f1225,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( element_of_collection(f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X4,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X5,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X6,f2(top_of_basis(subspace_topology(X0,X1,X3)),X7))))))),top_of_basis(X2))
      | element_of_collection(f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X5,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X6,f2(top_of_basis(subspace_topology(X0,X1,X3)),X7))))),top_of_basis(X4))
      | element_of_collection(f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X6,f2(top_of_basis(subspace_topology(X0,X1,X3)),X7))),top_of_basis(X5))
      | element_of_set(X7,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X3))))
      | element_of_collection(f2(top_of_basis(subspace_topology(X0,X1,X3)),X7),top_of_basis(X6))
      | element_of_set(f11(X2,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X4,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X5,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X6,f2(top_of_basis(subspace_topology(X0,X1,X3)),X7)))))))),union_of_members(top_of_basis(X8)))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1168,f309]) ).

fof(f1226,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( element_of_collection(f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X4,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X5,f2(top_of_basis(subspace_topology(X0,X1,X3)),X6))))),top_of_basis(X2))
      | element_of_collection(f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X5,f2(top_of_basis(subspace_topology(X0,X1,X3)),X6))),top_of_basis(X4))
      | element_of_set(X6,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X3))))
      | element_of_collection(f2(top_of_basis(subspace_topology(X0,X1,X3)),X6),top_of_basis(X5))
      | element_of_set(f11(X2,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X4,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X5,f2(top_of_basis(subspace_topology(X0,X1,X3)),X6)))))),union_of_members(top_of_basis(X7)))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1168,f304]) ).

fof(f1227,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_collection(f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X4,f2(top_of_basis(subspace_topology(X0,X1,X3)),X5))),top_of_basis(X2))
      | element_of_set(X5,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X3))))
      | element_of_collection(f2(top_of_basis(subspace_topology(X0,X1,X3)),X5),top_of_basis(X4))
      | element_of_set(f11(X2,f1(top_of_basis(subspace_topology(X0,X1,X3)),f11(X4,f2(top_of_basis(subspace_topology(X0,X1,X3)),X5)))),union_of_members(top_of_basis(X6)))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1168,f298]) ).

fof(f1228,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(f2(top_of_basis(top_of_basis(subspace_topology(X0,X1,X3))),X4),top_of_basis(X2))
      | element_of_set(X4,intersection_of_members(top_of_basis(top_of_basis(subspace_topology(X0,X1,X3)))))
      | element_of_set(f11(X2,f2(top_of_basis(top_of_basis(subspace_topology(X0,X1,X3))),X4)),union_of_members(top_of_basis(X5)))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1168,f743]) ).

fof(f1229,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_set(X4,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X3))))
      | element_of_collection(f2(top_of_basis(subspace_topology(X0,X1,X3)),X4),top_of_basis(X2))
      | element_of_set(f11(X2,f2(top_of_basis(subspace_topology(X0,X1,X3)),X4)),union_of_members(top_of_basis(X5)))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1168,f290]) ).

fof(f1232,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_collection(f10(top_of_basis(subspace_topology(X1,X3,X0)),f2(top_of_basis(top_of_basis(subspace_topology(X1,X3,X0))),X4),f11(X5,f2(top_of_basis(top_of_basis(subspace_topology(X1,X3,X0))),X4))),top_of_basis(X2))
      | element_of_collection(f2(top_of_basis(top_of_basis(subspace_topology(X1,X3,X0))),X4),top_of_basis(X5))
      | element_of_set(X4,intersection_of_members(top_of_basis(top_of_basis(subspace_topology(X1,X3,X0)))))
      | element_of_set(f11(X2,f10(top_of_basis(subspace_topology(X1,X3,X0)),f2(top_of_basis(top_of_basis(subspace_topology(X1,X3,X0))),X4),f11(X5,f2(top_of_basis(top_of_basis(subspace_topology(X1,X3,X0))),X4)))),union_of_members(top_of_basis(X6)))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f1178,f733]) ).

fof(f1233,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ4_spl
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(top_of_basis(subspace_topology(X1,X3,X0))))),top_of_basis(X2))
      | element_of_set(f11(X2,intersection_of_members(top_of_basis(top_of_basis(top_of_basis(subspace_topology(X1,X3,X0)))))),union_of_members(top_of_basis(X4)))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f1178,f666]) ).

fof(f1236,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(union_of_members(top_of_basis(top_of_basis(subspace_topology(X1,X3,X0)))),top_of_basis(X2))
      | element_of_set(f11(X2,union_of_members(top_of_basis(top_of_basis(subspace_topology(X1,X3,X0))))),union_of_members(top_of_basis(X4)))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f1178,f719]) ).

fof(f1239,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X4,union_of_members(top_of_basis(top_of_basis(subspace_topology(X1,X3,X0)))))),top_of_basis(X2))
      | element_of_collection(union_of_members(top_of_basis(top_of_basis(subspace_topology(X1,X3,X0)))),top_of_basis(X4))
      | element_of_set(f11(X2,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X4,union_of_members(top_of_basis(top_of_basis(subspace_topology(X1,X3,X0))))))),union_of_members(top_of_basis(X5)))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f1178,f726]) ).

fof(f1249,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
      ( element_of_collection(f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X4,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X5,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X6,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X7,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X8,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X9,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X10,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X11,f2(top_of_basis(subspace_topology(X1,X3,X0)),X12))))))))))))))))),top_of_basis(X2))
      | element_of_collection(f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X5,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X6,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X7,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X8,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X9,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X10,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X11,f2(top_of_basis(subspace_topology(X1,X3,X0)),X12))))))))))))))),top_of_basis(X4))
      | element_of_collection(f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X6,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X7,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X8,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X9,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X10,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X11,f2(top_of_basis(subspace_topology(X1,X3,X0)),X12))))))))))))),top_of_basis(X5))
      | element_of_collection(f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X7,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X8,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X9,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X10,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X11,f2(top_of_basis(subspace_topology(X1,X3,X0)),X12))))))))))),top_of_basis(X6))
      | element_of_collection(f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X8,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X9,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X10,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X11,f2(top_of_basis(subspace_topology(X1,X3,X0)),X12))))))))),top_of_basis(X7))
      | element_of_collection(f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X9,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X10,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X11,f2(top_of_basis(subspace_topology(X1,X3,X0)),X12))))))),top_of_basis(X8))
      | element_of_collection(f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X10,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X11,f2(top_of_basis(subspace_topology(X1,X3,X0)),X12))))),top_of_basis(X9))
      | element_of_collection(f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X11,f2(top_of_basis(subspace_topology(X1,X3,X0)),X12))),top_of_basis(X10))
      | element_of_set(X12,intersection_of_members(top_of_basis(subspace_topology(X1,X3,X0))))
      | element_of_collection(f2(top_of_basis(subspace_topology(X1,X3,X0)),X12),top_of_basis(X11))
      | element_of_set(f11(X2,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X4,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X5,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X6,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X7,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X8,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X9,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X10,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X11,f2(top_of_basis(subspace_topology(X1,X3,X0)),X12)))))))))))))))))),union_of_members(top_of_basis(X13)))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f1178,f340]) ).

fof(f1250,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( element_of_collection(f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X4,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X5,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X6,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X7,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X8,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X9,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X10,f2(top_of_basis(subspace_topology(X1,X3,X0)),X11))))))))))))))),top_of_basis(X2))
      | element_of_collection(f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X5,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X6,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X7,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X8,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X9,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X10,f2(top_of_basis(subspace_topology(X1,X3,X0)),X11))))))))))))),top_of_basis(X4))
      | element_of_collection(f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X6,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X7,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X8,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X9,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X10,f2(top_of_basis(subspace_topology(X1,X3,X0)),X11))))))))))),top_of_basis(X5))
      | element_of_collection(f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X7,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X8,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X9,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X10,f2(top_of_basis(subspace_topology(X1,X3,X0)),X11))))))))),top_of_basis(X6))
      | element_of_collection(f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X8,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X9,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X10,f2(top_of_basis(subspace_topology(X1,X3,X0)),X11))))))),top_of_basis(X7))
      | element_of_collection(f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X9,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X10,f2(top_of_basis(subspace_topology(X1,X3,X0)),X11))))),top_of_basis(X8))
      | element_of_collection(f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X10,f2(top_of_basis(subspace_topology(X1,X3,X0)),X11))),top_of_basis(X9))
      | element_of_set(X11,intersection_of_members(top_of_basis(subspace_topology(X1,X3,X0))))
      | element_of_collection(f2(top_of_basis(subspace_topology(X1,X3,X0)),X11),top_of_basis(X10))
      | element_of_set(f11(X2,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X4,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X5,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X6,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X7,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X8,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X9,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X10,f2(top_of_basis(subspace_topology(X1,X3,X0)),X11)))))))))))))))),union_of_members(top_of_basis(X12)))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f1178,f334]) ).

fof(f1251,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( element_of_collection(f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X4,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X5,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X6,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X7,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X8,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X9,f2(top_of_basis(subspace_topology(X1,X3,X0)),X10))))))))))))),top_of_basis(X2))
      | element_of_collection(f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X5,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X6,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X7,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X8,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X9,f2(top_of_basis(subspace_topology(X1,X3,X0)),X10))))))))))),top_of_basis(X4))
      | element_of_collection(f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X6,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X7,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X8,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X9,f2(top_of_basis(subspace_topology(X1,X3,X0)),X10))))))))),top_of_basis(X5))
      | element_of_collection(f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X7,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X8,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X9,f2(top_of_basis(subspace_topology(X1,X3,X0)),X10))))))),top_of_basis(X6))
      | element_of_collection(f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X8,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X9,f2(top_of_basis(subspace_topology(X1,X3,X0)),X10))))),top_of_basis(X7))
      | element_of_collection(f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X9,f2(top_of_basis(subspace_topology(X1,X3,X0)),X10))),top_of_basis(X8))
      | element_of_set(X10,intersection_of_members(top_of_basis(subspace_topology(X1,X3,X0))))
      | element_of_collection(f2(top_of_basis(subspace_topology(X1,X3,X0)),X10),top_of_basis(X9))
      | element_of_set(f11(X2,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X4,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X5,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X6,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X7,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X8,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X9,f2(top_of_basis(subspace_topology(X1,X3,X0)),X10)))))))))))))),union_of_members(top_of_basis(X11)))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f1178,f327]) ).

fof(f1252,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( element_of_collection(f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X4,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X5,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X6,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X7,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X8,f2(top_of_basis(subspace_topology(X1,X3,X0)),X9))))))))))),top_of_basis(X2))
      | element_of_collection(f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X5,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X6,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X7,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X8,f2(top_of_basis(subspace_topology(X1,X3,X0)),X9))))))))),top_of_basis(X4))
      | element_of_collection(f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X6,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X7,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X8,f2(top_of_basis(subspace_topology(X1,X3,X0)),X9))))))),top_of_basis(X5))
      | element_of_collection(f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X7,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X8,f2(top_of_basis(subspace_topology(X1,X3,X0)),X9))))),top_of_basis(X6))
      | element_of_collection(f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X8,f2(top_of_basis(subspace_topology(X1,X3,X0)),X9))),top_of_basis(X7))
      | element_of_set(X9,intersection_of_members(top_of_basis(subspace_topology(X1,X3,X0))))
      | element_of_collection(f2(top_of_basis(subspace_topology(X1,X3,X0)),X9),top_of_basis(X8))
      | element_of_set(f11(X2,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X4,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X5,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X6,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X7,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X8,f2(top_of_basis(subspace_topology(X1,X3,X0)),X9)))))))))))),union_of_members(top_of_basis(X10)))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f1178,f321]) ).

fof(f1253,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( element_of_collection(f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X4,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X5,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X6,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X7,f2(top_of_basis(subspace_topology(X1,X3,X0)),X8))))))))),top_of_basis(X2))
      | element_of_collection(f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X5,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X6,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X7,f2(top_of_basis(subspace_topology(X1,X3,X0)),X8))))))),top_of_basis(X4))
      | element_of_collection(f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X6,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X7,f2(top_of_basis(subspace_topology(X1,X3,X0)),X8))))),top_of_basis(X5))
      | element_of_collection(f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X7,f2(top_of_basis(subspace_topology(X1,X3,X0)),X8))),top_of_basis(X6))
      | element_of_set(X8,intersection_of_members(top_of_basis(subspace_topology(X1,X3,X0))))
      | element_of_collection(f2(top_of_basis(subspace_topology(X1,X3,X0)),X8),top_of_basis(X7))
      | element_of_set(f11(X2,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X4,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X5,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X6,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X7,f2(top_of_basis(subspace_topology(X1,X3,X0)),X8)))))))))),union_of_members(top_of_basis(X9)))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f1178,f315]) ).

fof(f1254,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( element_of_collection(f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X4,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X5,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X6,f2(top_of_basis(subspace_topology(X1,X3,X0)),X7))))))),top_of_basis(X2))
      | element_of_collection(f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X5,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X6,f2(top_of_basis(subspace_topology(X1,X3,X0)),X7))))),top_of_basis(X4))
      | element_of_collection(f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X6,f2(top_of_basis(subspace_topology(X1,X3,X0)),X7))),top_of_basis(X5))
      | element_of_set(X7,intersection_of_members(top_of_basis(subspace_topology(X1,X3,X0))))
      | element_of_collection(f2(top_of_basis(subspace_topology(X1,X3,X0)),X7),top_of_basis(X6))
      | element_of_set(f11(X2,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X4,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X5,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X6,f2(top_of_basis(subspace_topology(X1,X3,X0)),X7)))))))),union_of_members(top_of_basis(X8)))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f1178,f309]) ).

fof(f1255,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( element_of_collection(f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X4,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X5,f2(top_of_basis(subspace_topology(X1,X3,X0)),X6))))),top_of_basis(X2))
      | element_of_collection(f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X5,f2(top_of_basis(subspace_topology(X1,X3,X0)),X6))),top_of_basis(X4))
      | element_of_set(X6,intersection_of_members(top_of_basis(subspace_topology(X1,X3,X0))))
      | element_of_collection(f2(top_of_basis(subspace_topology(X1,X3,X0)),X6),top_of_basis(X5))
      | element_of_set(f11(X2,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X4,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X5,f2(top_of_basis(subspace_topology(X1,X3,X0)),X6)))))),union_of_members(top_of_basis(X7)))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f1178,f304]) ).

fof(f1256,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_collection(f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X4,f2(top_of_basis(subspace_topology(X1,X3,X0)),X5))),top_of_basis(X2))
      | element_of_set(X5,intersection_of_members(top_of_basis(subspace_topology(X1,X3,X0))))
      | element_of_collection(f2(top_of_basis(subspace_topology(X1,X3,X0)),X5),top_of_basis(X4))
      | element_of_set(f11(X2,f1(top_of_basis(subspace_topology(X1,X3,X0)),f11(X4,f2(top_of_basis(subspace_topology(X1,X3,X0)),X5)))),union_of_members(top_of_basis(X6)))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f1178,f298]) ).

fof(f1257,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(f2(top_of_basis(top_of_basis(subspace_topology(X1,X3,X0))),X4),top_of_basis(X2))
      | element_of_set(X4,intersection_of_members(top_of_basis(top_of_basis(subspace_topology(X1,X3,X0)))))
      | element_of_set(f11(X2,f2(top_of_basis(top_of_basis(subspace_topology(X1,X3,X0))),X4)),union_of_members(top_of_basis(X5)))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f1178,f743]) ).

fof(f1258,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_set(X4,intersection_of_members(top_of_basis(subspace_topology(X1,X3,X0))))
      | element_of_collection(f2(top_of_basis(subspace_topology(X1,X3,X0)),X4),top_of_basis(X2))
      | element_of_set(f11(X2,f2(top_of_basis(subspace_topology(X1,X3,X0)),X4)),union_of_members(top_of_basis(X5)))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f1178,f290]) ).

fof(f1262,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( subset_sets(f10(X5,f2(subspace_topology(X0,X1,X3),X2),X4),f2(subspace_topology(X0,X1,X3),X2))
      | ~ element_of_set(X4,f2(subspace_topology(X0,X1,X3),X2))
      | element_of_set(X2,intersection_of_members(subspace_topology(X0,X1,X3)))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f820,f164]) ).

fof(f1263,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(f10(X5,f2(subspace_topology(X0,X1,X3),X2),X4),X5)
      | ~ element_of_set(X4,f2(subspace_topology(X0,X1,X3),X2))
      | element_of_set(X2,intersection_of_members(subspace_topology(X0,X1,X3)))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f820,f163]) ).

fof(f1264,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_set(X4,f10(X5,f2(subspace_topology(X0,X1,X3),X2),X4))
      | ~ element_of_set(X4,f2(subspace_topology(X0,X1,X3),X2))
      | element_of_set(X2,intersection_of_members(subspace_topology(X0,X1,X3)))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f820,f162]) ).

fof(f1265,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_set(f11(X5,intersection_of_members(top_of_basis(X4))),f2(subspace_topology(X0,X1,X3),X2))
      | element_of_collection(intersection_of_members(top_of_basis(X4)),top_of_basis(X5))
      | element_of_set(X2,intersection_of_members(subspace_topology(X0,X1,X3)))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f820,f291]) ).

fof(f1266,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ element_of_set(X4,f2(subspace_topology(X0,X1,X3),X2))
      | element_of_set(X4,union_of_members(top_of_basis(X5)))
      | element_of_set(X2,intersection_of_members(subspace_topology(X0,X1,X3)))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f820,f116]) ).

fof(f1267,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( subset_sets(f10(X5,f2(subspace_topology(X1,X3,X0),X2),X4),f2(subspace_topology(X1,X3,X0),X2))
      | ~ element_of_set(X4,f2(subspace_topology(X1,X3,X0),X2))
      | element_of_set(X2,intersection_of_members(subspace_topology(X1,X3,X0)))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f896,f164]) ).

fof(f1268,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(f10(X5,f2(subspace_topology(X1,X3,X0),X2),X4),X5)
      | ~ element_of_set(X4,f2(subspace_topology(X1,X3,X0),X2))
      | element_of_set(X2,intersection_of_members(subspace_topology(X1,X3,X0)))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f896,f163]) ).

fof(f1269,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_set(X4,f10(X5,f2(subspace_topology(X1,X3,X0),X2),X4))
      | ~ element_of_set(X4,f2(subspace_topology(X1,X3,X0),X2))
      | element_of_set(X2,intersection_of_members(subspace_topology(X1,X3,X0)))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f896,f162]) ).

fof(f1270,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_set(f11(X5,intersection_of_members(top_of_basis(X4))),f2(subspace_topology(X1,X3,X0),X2))
      | element_of_collection(intersection_of_members(top_of_basis(X4)),top_of_basis(X5))
      | element_of_set(X2,intersection_of_members(subspace_topology(X1,X3,X0)))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f896,f291]) ).

fof(f1271,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ element_of_set(X4,f2(subspace_topology(X1,X3,X0),X2))
      | element_of_set(X4,union_of_members(top_of_basis(X5)))
      | element_of_set(X2,intersection_of_members(subspace_topology(X1,X3,X0)))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f896,f116]) ).

fof(f1274,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))),top_of_basis(X2))
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X1))
      | element_of_set(f11(X2,f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0))))),union_of_members(X0))
      | element_of_collection(f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))),top_of_basis(X2))
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f759,f705]) ).

fof(f1275,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))),f11(X2,f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))))),top_of_basis(X3))
      | element_of_set(f11(X3,f10(X0,f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))),f11(X2,f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0))))))),union_of_members(X0))
      | element_of_collection(f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))),top_of_basis(X2))
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f759,f165]) ).

fof(f1276,plain,
    ! [X0,X1,X2] :
      ( element_of_set(f11(X2,f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0))))),union_of_members(X0))
      | element_of_collection(f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))),top_of_basis(X2))
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f1274]) ).

fof(f1277,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X2,intersection_of_members(top_of_basis(X0)))
      | element_of_collection(f2(top_of_basis(X0),X2),top_of_basis(X1))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X3))
      | element_of_set(X2,intersection_of_members(top_of_basis(X0)))
      | element_of_collection(f2(top_of_basis(X0),X2),top_of_basis(X1))
      | subset_sets(f10(X0,f1(top_of_basis(X0),f11(X1,f2(top_of_basis(X0),X2))),f11(X3,intersection_of_members(top_of_basis(X0)))),f1(top_of_basis(X0),f11(X1,f2(top_of_basis(X0),X2)))) ),
    inference(resolution,[status(thm)],[f858,f353]) ).

fof(f1278,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(top_of_basis(X0)))
      | element_of_collection(f2(top_of_basis(X0),X2),top_of_basis(X1))
      | element_of_set(X2,intersection_of_members(top_of_basis(X0)))
      | element_of_collection(f2(top_of_basis(X0),X2),top_of_basis(X1))
      | subset_sets(f10(X0,f1(top_of_basis(X0),f11(X1,f2(top_of_basis(X0),X2))),f11(X1,f2(top_of_basis(X0),X2))),f1(top_of_basis(X0),f11(X1,f2(top_of_basis(X0),X2)))) ),
    inference(resolution,[status(thm)],[f858,f295]) ).

fof(f1279,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f1(top_of_basis(X0),f11(X1,f2(top_of_basis(X0),X2))),top_of_basis(X3))
      | element_of_set(X2,intersection_of_members(top_of_basis(X0)))
      | element_of_collection(f2(top_of_basis(X0),X2),top_of_basis(X1))
      | subset_sets(f10(X0,f1(top_of_basis(X0),f11(X1,f2(top_of_basis(X0),X2))),f11(X3,f1(top_of_basis(X0),f11(X1,f2(top_of_basis(X0),X2))))),f1(top_of_basis(X0),f11(X1,f2(top_of_basis(X0),X2)))) ),
    inference(resolution,[status(thm)],[f858,f165]) ).

fof(f1280,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X3))
      | element_of_set(X2,intersection_of_members(top_of_basis(X0)))
      | element_of_collection(f2(top_of_basis(X0),X2),top_of_basis(X1))
      | subset_sets(f10(X0,f1(top_of_basis(X0),f11(X1,f2(top_of_basis(X0),X2))),f11(X3,intersection_of_members(top_of_basis(X0)))),f1(top_of_basis(X0),f11(X1,f2(top_of_basis(X0),X2)))) ),
    inference(duplicate_literals_removal,[status(thm)],[f1277]) ).

fof(f1281,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(top_of_basis(X0)))
      | element_of_collection(f2(top_of_basis(X0),X2),top_of_basis(X1))
      | subset_sets(f10(X0,f1(top_of_basis(X0),f11(X1,f2(top_of_basis(X0),X2))),f11(X1,f2(top_of_basis(X0),X2))),f1(top_of_basis(X0),f11(X1,f2(top_of_basis(X0),X2)))) ),
    inference(duplicate_literals_removal,[status(thm)],[f1278]) ).

fof(f1282,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( equal_sets(f12(X0,subspace_topology(X1,X2,X3),X4,f1(subspace_topology(X0,subspace_topology(X1,X2,X3),X4),f11(X6,f2(subspace_topology(X0,subspace_topology(X1,X2,X3),X4),X5)))),intersection_of_sets(X3,f12(X1,X2,X3,f12(X0,subspace_topology(X1,X2,X3),X4,f1(subspace_topology(X0,subspace_topology(X1,X2,X3),X4),f11(X6,f2(subspace_topology(X0,subspace_topology(X1,X2,X3),X4),X5)))))))
      | element_of_set(X5,intersection_of_members(subspace_topology(X0,subspace_topology(X1,X2,X3),X4)))
      | element_of_collection(f2(subspace_topology(X0,subspace_topology(X1,X2,X3),X4),X5),top_of_basis(X6)) ),
    inference(resolution,[status(thm)],[f1109,f173]) ).

fof(f1283,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_collection(f12(X1,X2,X3,f12(X0,subspace_topology(X1,X2,X3),X4,f1(subspace_topology(X0,subspace_topology(X1,X2,X3),X4),f11(X6,f2(subspace_topology(X0,subspace_topology(X1,X2,X3),X4),X5))))),X2)
      | element_of_set(X5,intersection_of_members(subspace_topology(X0,subspace_topology(X1,X2,X3),X4)))
      | element_of_collection(f2(subspace_topology(X0,subspace_topology(X1,X2,X3),X4),X5),top_of_basis(X6)) ),
    inference(resolution,[status(thm)],[f1109,f172]) ).

fof(f1284,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( subset_sets(X3,X1)
      | element_of_set(X5,intersection_of_members(subspace_topology(X0,subspace_topology(X1,X2,X3),X4)))
      | element_of_collection(f2(subspace_topology(X0,subspace_topology(X1,X2,X3),X4),X5),top_of_basis(X6)) ),
    inference(resolution,[status(thm)],[f1109,f171]) ).

fof(f1285,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( topological_space(X1,X2)
      | element_of_set(X5,intersection_of_members(subspace_topology(X0,subspace_topology(X1,X2,X3),X4)))
      | element_of_collection(f2(subspace_topology(X0,subspace_topology(X1,X2,X3),X4),X5),top_of_basis(X6)) ),
    inference(resolution,[status(thm)],[f1109,f169]) ).

fof(f1286,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( subset_sets(f10(X1,f12(X0,top_of_basis(X1),X2,f1(subspace_topology(X0,top_of_basis(X1),X2),f11(X4,f2(subspace_topology(X0,top_of_basis(X1),X2),X3)))),X5),f12(X0,top_of_basis(X1),X2,f1(subspace_topology(X0,top_of_basis(X1),X2),f11(X4,f2(subspace_topology(X0,top_of_basis(X1),X2),X3)))))
      | ~ element_of_set(X5,f12(X0,top_of_basis(X1),X2,f1(subspace_topology(X0,top_of_basis(X1),X2),f11(X4,f2(subspace_topology(X0,top_of_basis(X1),X2),X3)))))
      | element_of_set(X3,intersection_of_members(subspace_topology(X0,top_of_basis(X1),X2)))
      | element_of_collection(f2(subspace_topology(X0,top_of_basis(X1),X2),X3),top_of_basis(X4)) ),
    inference(resolution,[status(thm)],[f1109,f164]) ).

fof(f1287,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(f10(X1,f12(X0,top_of_basis(X1),X2,f1(subspace_topology(X0,top_of_basis(X1),X2),f11(X4,f2(subspace_topology(X0,top_of_basis(X1),X2),X3)))),X5),X1)
      | ~ element_of_set(X5,f12(X0,top_of_basis(X1),X2,f1(subspace_topology(X0,top_of_basis(X1),X2),f11(X4,f2(subspace_topology(X0,top_of_basis(X1),X2),X3)))))
      | element_of_set(X3,intersection_of_members(subspace_topology(X0,top_of_basis(X1),X2)))
      | element_of_collection(f2(subspace_topology(X0,top_of_basis(X1),X2),X3),top_of_basis(X4)) ),
    inference(resolution,[status(thm)],[f1109,f163]) ).

fof(f1288,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_set(X5,f10(X1,f12(X0,top_of_basis(X1),X2,f1(subspace_topology(X0,top_of_basis(X1),X2),f11(X4,f2(subspace_topology(X0,top_of_basis(X1),X2),X3)))),X5))
      | ~ element_of_set(X5,f12(X0,top_of_basis(X1),X2,f1(subspace_topology(X0,top_of_basis(X1),X2),f11(X4,f2(subspace_topology(X0,top_of_basis(X1),X2),X3)))))
      | element_of_set(X3,intersection_of_members(subspace_topology(X0,top_of_basis(X1),X2)))
      | element_of_collection(f2(subspace_topology(X0,top_of_basis(X1),X2),X3),top_of_basis(X4)) ),
    inference(resolution,[status(thm)],[f1109,f162]) ).

fof(f1289,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_set(f11(X5,intersection_of_members(X1)),f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X4,f2(subspace_topology(X0,X1,X2),X3)))))
      | element_of_collection(intersection_of_members(X1),top_of_basis(X5))
      | element_of_set(X3,intersection_of_members(subspace_topology(X0,X1,X2)))
      | element_of_collection(f2(subspace_topology(X0,X1,X2),X3),top_of_basis(X4)) ),
    inference(resolution,[status(thm)],[f1109,f291]) ).

fof(f1290,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ element_of_set(X5,f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X4,f2(subspace_topology(X0,X1,X2),X3)))))
      | element_of_set(X5,union_of_members(X1))
      | element_of_set(X3,intersection_of_members(subspace_topology(X0,X1,X2)))
      | element_of_collection(f2(subspace_topology(X0,X1,X2),X3),top_of_basis(X4)) ),
    inference(resolution,[status(thm)],[f1109,f116]) ).

fof(f1291,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ element_of_collection(f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X4,f2(subspace_topology(X0,X1,X2),X3)))),X6)
      | ~ subset_sets(X2,X5)
      | ~ topological_space(X5,X6)
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X4,f2(subspace_topology(X0,X1,X2),X3))),subspace_topology(X5,X6,X2))
      | element_of_set(X3,intersection_of_members(subspace_topology(X0,X1,X2)))
      | element_of_collection(f2(subspace_topology(X0,X1,X2),X3),top_of_basis(X4)) ),
    inference(resolution,[status(thm)],[f1147,f175]) ).

fof(f1292,plain,
    ! [X0,X1,X2,X3] :
      ( ~ subset_sets(union_of_members(X1),f10(X1,f2(top_of_basis(X1),X0),f11(X2,intersection_of_members(top_of_basis(X1)))))
      | ~ element_of_collection(union_of_members(X1),X3)
      | element_of_collection(f10(X1,f2(top_of_basis(X1),X0),f11(X2,intersection_of_members(top_of_basis(X1)))),top_of_basis(X3))
      | element_of_collection(f10(X1,f2(top_of_basis(X1),X0),f11(X2,intersection_of_members(top_of_basis(X1)))),top_of_basis(X3))
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f700,f167]) ).

fof(f1293,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_set(f11(X5,f10(top_of_basis(subspace_topology(X1,X2,X3)),f2(top_of_basis(top_of_basis(subspace_topology(X1,X2,X3))),X0),f11(X4,intersection_of_members(top_of_basis(top_of_basis(subspace_topology(X1,X2,X3))))))),union_of_members(top_of_basis(X6)))
      | subset_sets(X3,X1)
      | element_of_collection(f10(top_of_basis(subspace_topology(X1,X2,X3)),f2(top_of_basis(top_of_basis(subspace_topology(X1,X2,X3))),X0),f11(X4,intersection_of_members(top_of_basis(top_of_basis(subspace_topology(X1,X2,X3)))))),top_of_basis(X5))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(subspace_topology(X1,X2,X3)))),top_of_basis(X4))
      | element_of_set(X0,intersection_of_members(top_of_basis(top_of_basis(subspace_topology(X1,X2,X3))))) ),
    inference(resolution,[status(thm)],[f700,f1178]) ).

fof(f1294,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_set(f11(X5,f10(top_of_basis(subspace_topology(X1,X2,X3)),f2(top_of_basis(top_of_basis(subspace_topology(X1,X2,X3))),X0),f11(X4,intersection_of_members(top_of_basis(top_of_basis(subspace_topology(X1,X2,X3))))))),union_of_members(top_of_basis(X6)))
      | topological_space(X1,X2)
      | element_of_collection(f10(top_of_basis(subspace_topology(X1,X2,X3)),f2(top_of_basis(top_of_basis(subspace_topology(X1,X2,X3))),X0),f11(X4,intersection_of_members(top_of_basis(top_of_basis(subspace_topology(X1,X2,X3)))))),top_of_basis(X5))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(subspace_topology(X1,X2,X3)))),top_of_basis(X4))
      | element_of_set(X0,intersection_of_members(top_of_basis(top_of_basis(subspace_topology(X1,X2,X3))))) ),
    inference(resolution,[status(thm)],[f700,f1168]) ).

fof(f1295,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f1(X1,f11(X3,f10(X1,f2(top_of_basis(X1),X0),f11(X2,intersection_of_members(top_of_basis(X1)))))),X1)
      | element_of_collection(f10(X1,f2(top_of_basis(X1),X0),f11(X2,intersection_of_members(top_of_basis(X1)))),top_of_basis(X3))
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f700,f114]) ).

fof(f1296,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(f11(X3,f10(X1,f2(top_of_basis(X1),X0),f11(X2,intersection_of_members(top_of_basis(X1))))),f1(X1,f11(X3,f10(X1,f2(top_of_basis(X1),X0),f11(X2,intersection_of_members(top_of_basis(X1)))))))
      | element_of_collection(f10(X1,f2(top_of_basis(X1),X0),f11(X2,intersection_of_members(top_of_basis(X1)))),top_of_basis(X3))
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f700,f113]) ).

fof(f1297,plain,
    ! [X0,X1,X2,X3] :
      ( ~ subset_sets(union_of_members(X1),f10(X1,f2(top_of_basis(X1),X0),f11(X2,intersection_of_members(top_of_basis(X1)))))
      | ~ element_of_collection(union_of_members(X1),X3)
      | element_of_collection(f10(X1,f2(top_of_basis(X1),X0),f11(X2,intersection_of_members(top_of_basis(X1)))),top_of_basis(X3))
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(top_of_basis(X1))) ),
    inference(duplicate_literals_removal,[status(thm)],[f1292]) ).

fof(f1298,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(union_of_members(X0),f10(X0,f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))),f11(X1,union_of_members(top_of_basis(X0)))))
      | ~ element_of_collection(union_of_members(X0),X2)
      | element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))),f11(X1,union_of_members(top_of_basis(X0)))),top_of_basis(X2))
      | element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))),f11(X1,union_of_members(top_of_basis(X0)))),top_of_basis(X2))
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f718,f167]) ).

fof(f1299,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_set(f11(X4,f10(top_of_basis(subspace_topology(X0,X1,X2)),f1(top_of_basis(top_of_basis(subspace_topology(X0,X1,X2))),f11(X3,union_of_members(top_of_basis(top_of_basis(subspace_topology(X0,X1,X2)))))),f11(X3,union_of_members(top_of_basis(top_of_basis(subspace_topology(X0,X1,X2))))))),union_of_members(top_of_basis(X5)))
      | subset_sets(X2,X0)
      | element_of_collection(f10(top_of_basis(subspace_topology(X0,X1,X2)),f1(top_of_basis(top_of_basis(subspace_topology(X0,X1,X2))),f11(X3,union_of_members(top_of_basis(top_of_basis(subspace_topology(X0,X1,X2)))))),f11(X3,union_of_members(top_of_basis(top_of_basis(subspace_topology(X0,X1,X2)))))),top_of_basis(X4))
      | element_of_collection(union_of_members(top_of_basis(top_of_basis(subspace_topology(X0,X1,X2)))),top_of_basis(X3)) ),
    inference(resolution,[status(thm)],[f718,f1178]) ).

fof(f1300,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_set(f11(X4,f10(top_of_basis(subspace_topology(X0,X1,X2)),f1(top_of_basis(top_of_basis(subspace_topology(X0,X1,X2))),f11(X3,union_of_members(top_of_basis(top_of_basis(subspace_topology(X0,X1,X2)))))),f11(X3,union_of_members(top_of_basis(top_of_basis(subspace_topology(X0,X1,X2))))))),union_of_members(top_of_basis(X5)))
      | topological_space(X0,X1)
      | element_of_collection(f10(top_of_basis(subspace_topology(X0,X1,X2)),f1(top_of_basis(top_of_basis(subspace_topology(X0,X1,X2))),f11(X3,union_of_members(top_of_basis(top_of_basis(subspace_topology(X0,X1,X2)))))),f11(X3,union_of_members(top_of_basis(top_of_basis(subspace_topology(X0,X1,X2)))))),top_of_basis(X4))
      | element_of_collection(union_of_members(top_of_basis(top_of_basis(subspace_topology(X0,X1,X2)))),top_of_basis(X3)) ),
    inference(resolution,[status(thm)],[f718,f1168]) ).

fof(f1301,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f1(X0,f11(X2,f10(X0,f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))),f11(X1,union_of_members(top_of_basis(X0)))))),X0)
      | element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))),f11(X1,union_of_members(top_of_basis(X0)))),top_of_basis(X2))
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f718,f114]) ).

fof(f1302,plain,
    ! [X0,X1,X2] :
      ( element_of_set(f11(X2,f10(X0,f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))),f11(X1,union_of_members(top_of_basis(X0))))),f1(X0,f11(X2,f10(X0,f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))),f11(X1,union_of_members(top_of_basis(X0)))))))
      | element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))),f11(X1,union_of_members(top_of_basis(X0)))),top_of_basis(X2))
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f718,f113]) ).

fof(f1303,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(union_of_members(X0),f10(X0,f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))),f11(X1,union_of_members(top_of_basis(X0)))))
      | ~ element_of_collection(union_of_members(X0),X2)
      | element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))),f11(X1,union_of_members(top_of_basis(X0)))),top_of_basis(X2))
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f1298]) ).

fof(f1304,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ4_spl
      | element_of_set(X2,f10(X3,intersection_of_members(subspace_topology(X0,X1,X4)),X2))
      | topological_space(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f1151,f821]) ).

fof(f1305,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ4_spl
      | element_of_collection(f10(X2,intersection_of_members(subspace_topology(X0,X1,X3)),X4),X2)
      | topological_space(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f1150,f821]) ).

fof(f1306,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ4_spl
      | element_of_set(X2,union_of_members(top_of_basis(X3)))
      | topological_space(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f1153,f821]) ).

fof(f1307,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ subset_sets(intersection_of_members(subspace_topology(X0,X1,X4)),X2)
      | ~ element_of_collection(intersection_of_members(subspace_topology(X0,X1,X4)),X3)
      | element_of_collection(X2,top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f821,f167]) ).

fof(f1308,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ4_spl
      | element_of_set(X3,union_of_members(top_of_basis(X4)))
      | subset_sets(X2,X0)
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f821,f1158]) ).

fof(f1310,definition,
    ! [X0,X1] :
      ( sQ7_spl
    <=> topological_space(X0,X1) ),
    introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).

fof(f1311,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | topological_space(X0,X1) ),
    inference(component_clause,[status(thm)],[f1310]) ).

fof(f1313,definition,
    ! [X2,X3] :
      ( sQ8_spl
    <=> element_of_set(X2,union_of_members(top_of_basis(X3))) ),
    introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).

fof(f1314,plain,
    ! [X0,X1] :
      ( ~ sQ8_spl
      | element_of_set(X0,union_of_members(top_of_basis(X1))) ),
    inference(component_clause,[status(thm)],[f1313]) ).

fof(f1316,plain,
    ( ~ sQ4_spl
    | sQ8_spl
    | sQ7_spl ),
    inference(split_clause,[status(thm)],[f1306,f1310,f1313,f403]) ).

fof(f1317,definition,
    ! [X0,X1,X2] :
      ( sQ9_spl
    <=> ( subset_sets(X2,X0)
        | topological_space(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).

fof(f1318,plain,
    ! [X0,X1,X2] :
      ( ~ sQ9_spl
      | subset_sets(X2,X0)
      | topological_space(X0,X1) ),
    inference(component_clause,[status(thm)],[f1317]) ).

fof(f1320,plain,
    ( ~ sQ4_spl
    | sQ8_spl
    | sQ9_spl ),
    inference(split_clause,[status(thm)],[f1308,f1317,f1313,f403]) ).

fof(f1321,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ subset_sets(intersection_of_members(subspace_topology(X1,X4,X0)),X2)
      | ~ element_of_collection(intersection_of_members(subspace_topology(X1,X4,X0)),X3)
      | element_of_collection(X2,top_of_basis(X3))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f897,f167]) ).

fof(f1326,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(f11(X3,intersection_of_members(top_of_basis(X2))),interior(X4,X0,X1))
      | element_of_collection(intersection_of_members(top_of_basis(X2)),top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f898,f291]) ).

fof(f1328,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_members(top_of_basis(X2)),top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1326,f177]) ).

fof(f1332,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(f11(X3,intersection_of_members(top_of_basis(X2))),interior(X0,X1,X4))
      | element_of_collection(intersection_of_members(top_of_basis(X2)),top_of_basis(X3))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f899,f291]) ).

fof(f1334,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(intersection_of_members(top_of_basis(X2)),top_of_basis(X3))
      | subset_sets(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1332,f179]) ).

fof(f1353,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ subset_collections(X3,X2)
      | ~ topological_space(X4,X2)
      | finer(X2,X3,X4)
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f1328,f152]) ).

fof(f1354,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ element_of_collection(X2,X4)
      | open(X2,X3,X4)
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f1328,f140]) ).

fof(f1355,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_collection(intersection_of_sets(f16(X2,X3,X4,X5),X3),top_of_basis(X6))
      | eq_p(f11(X6,intersection_of_sets(f16(X2,X3,X4,X5),X3)),X2)
      | ~ subset_sets(X3,X4)
      | limit_point(X2,X3,X4,X5)
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f1328,f390]) ).

fof(f1356,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( closed(f14(X3,X4,X5,X2),X4,X5)
      | ~ subset_sets(X3,X4)
      | element_of_set(X2,closure(X3,X4,X5))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f1328,f192]) ).

fof(f1357,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( neighborhood(f16(X2,X3,X4,X5),X2,X4,X5)
      | ~ subset_sets(X3,X4)
      | limit_point(X2,X3,X4,X5)
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f1328,f208]) ).

fof(f1358,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( subset_sets(X3,f14(X3,X4,X5,X2))
      | ~ subset_sets(X3,X4)
      | element_of_set(X2,closure(X3,X4,X5))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f1328,f191]) ).

fof(f1359,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)],[f1328,f244]) ).

fof(f1360,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)],[f1328,f263]) ).

fof(f1361,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)],[f1328,f221]) ).

fof(f1362,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)],[f1328,f220]) ).

fof(f1363,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(intersection_of_sets(X2,X4),X3)
      | ~ element_of_collection(X4,X3)
      | ~ element_of_collection(X2,X3)
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f1328,f126]) ).

fof(f1364,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)],[f1328,f123]) ).

fof(f1365,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)],[f1328,f124]) ).

fof(f1366,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(union_of_members(X2),X3)
      | ~ subset_collections(X2,X3)
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f1328,f128]) ).

fof(f1367,plain,
    ! [X0,X1,X2,X3] :
      ( equal_sets(union_of_members(X2),X3)
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f1328,f121]) ).

fof(f1368,plain,
    ! [X0,X1,X2,X3,X4] :
      ( subset_sets(f10(X4,intersection_of_members(top_of_basis(X3)),X2),intersection_of_members(top_of_basis(X3)))
      | ~ element_of_set(X2,intersection_of_members(top_of_basis(X3)))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1328,f164]) ).

fof(f1369,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f10(X4,intersection_of_members(top_of_basis(X3)),X2),X4)
      | ~ element_of_set(X2,intersection_of_members(top_of_basis(X3)))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1328,f163]) ).

fof(f1370,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(X2,f10(X4,intersection_of_members(top_of_basis(X3)),X2))
      | ~ element_of_set(X2,intersection_of_members(top_of_basis(X3)))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1328,f162]) ).

fof(f1371,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)],[f1328,f291]) ).

fof(f1372,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ element_of_set(X2,intersection_of_members(top_of_basis(X4)))
      | element_of_set(X2,union_of_members(top_of_basis(X3)))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1328,f116]) ).

fof(f1373,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(f1374,plain,
    ! [X0,X1] :
      ( ~ sQ10_spl
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(component_clause,[status(thm)],[f1373]) ).

fof(f1376,definition,
    ! [X2,X3,X4] :
      ( sQ11_spl
    <=> ( ~ subset_collections(X3,X2)
        | ~ topological_space(X4,X2)
        | finer(X2,X3,X4) ) ),
    introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).

fof(f1377,plain,
    ! [X0,X1,X2] :
      ( ~ sQ11_spl
      | ~ subset_collections(X1,X0)
      | ~ topological_space(X2,X0)
      | finer(X0,X1,X2) ),
    inference(component_clause,[status(thm)],[f1376]) ).

fof(f1379,plain,
    ( sQ11_spl
    | sQ10_spl ),
    inference(split_clause,[status(thm)],[f1353,f1373,f1376]) ).

fof(f1380,definition,
    ! [X2,X3,X4] :
      ( sQ12_spl
    <=> ( ~ element_of_collection(X2,X4)
        | open(X2,X3,X4) ) ),
    introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).

fof(f1381,plain,
    ! [X0,X1,X2] :
      ( ~ sQ12_spl
      | ~ element_of_collection(X0,X2)
      | open(X0,X1,X2) ),
    inference(component_clause,[status(thm)],[f1380]) ).

fof(f1383,plain,
    ( sQ12_spl
    | sQ10_spl ),
    inference(split_clause,[status(thm)],[f1354,f1373,f1380]) ).

fof(f1384,definition,
    ! [X2,X3,X4,X5,X6] :
      ( sQ13_spl
    <=> ( element_of_collection(intersection_of_sets(f16(X2,X3,X4,X5),X3),top_of_basis(X6))
        | eq_p(f11(X6,intersection_of_sets(f16(X2,X3,X4,X5),X3)),X2)
        | ~ subset_sets(X3,X4)
        | limit_point(X2,X3,X4,X5) ) ),
    introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).

fof(f1385,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ13_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) ),
    inference(component_clause,[status(thm)],[f1384]) ).

fof(f1387,plain,
    ( sQ13_spl
    | sQ10_spl ),
    inference(split_clause,[status(thm)],[f1355,f1373,f1384]) ).

fof(f1388,definition,
    ! [X2,X3,X4,X5] :
      ( sQ14_spl
    <=> ( closed(f14(X3,X4,X5,X2),X4,X5)
        | ~ subset_sets(X3,X4)
        | element_of_set(X2,closure(X3,X4,X5)) ) ),
    introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).

fof(f1389,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ14_spl
      | closed(f14(X1,X2,X3,X0),X2,X3)
      | ~ subset_sets(X1,X2)
      | element_of_set(X0,closure(X1,X2,X3)) ),
    inference(component_clause,[status(thm)],[f1388]) ).

fof(f1391,plain,
    ( sQ14_spl
    | sQ10_spl ),
    inference(split_clause,[status(thm)],[f1356,f1373,f1388]) ).

fof(f1392,definition,
    ! [X2,X3,X4,X5] :
      ( sQ15_spl
    <=> ( neighborhood(f16(X2,X3,X4,X5),X2,X4,X5)
        | ~ subset_sets(X3,X4)
        | limit_point(X2,X3,X4,X5) ) ),
    introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).

fof(f1393,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ15_spl
      | neighborhood(f16(X0,X1,X2,X3),X0,X2,X3)
      | ~ subset_sets(X1,X2)
      | limit_point(X0,X1,X2,X3) ),
    inference(component_clause,[status(thm)],[f1392]) ).

fof(f1395,plain,
    ( sQ15_spl
    | sQ10_spl ),
    inference(split_clause,[status(thm)],[f1357,f1373,f1392]) ).

fof(f1396,definition,
    ! [X2,X3,X4,X5] :
      ( sQ16_spl
    <=> ( subset_sets(X3,f14(X3,X4,X5,X2))
        | ~ subset_sets(X3,X4)
        | element_of_set(X2,closure(X3,X4,X5)) ) ),
    introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).

fof(f1397,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ16_spl
      | subset_sets(X1,f14(X1,X2,X3,X0))
      | ~ subset_sets(X1,X2)
      | element_of_set(X0,closure(X1,X2,X3)) ),
    inference(component_clause,[status(thm)],[f1396]) ).

fof(f1399,plain,
    ( sQ16_spl
    | sQ10_spl ),
    inference(split_clause,[status(thm)],[f1358,f1373,f1396]) ).

fof(f1400,definition,
    ! [X2,X3] :
      ( sQ17_spl
    <=> ( separation(f21(X2,X3),f22(X2,X3),X2,X3)
        | connected_space(X2,X3) ) ),
    introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).

fof(f1401,plain,
    ! [X0,X1] :
      ( ~ sQ17_spl
      | separation(f21(X0,X1),f22(X0,X1),X0,X1)
      | connected_space(X0,X1) ),
    inference(component_clause,[status(thm)],[f1400]) ).

fof(f1403,plain,
    ( sQ17_spl
    | sQ10_spl ),
    inference(split_clause,[status(thm)],[f1359,f1373,f1400]) ).

fof(f1404,definition,
    ! [X2,X3] :
      ( sQ18_spl
    <=> ( open_covering(f24(X2,X3),X2,X3)
        | compact_space(X2,X3) ) ),
    introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).

fof(f1405,plain,
    ! [X0,X1] :
      ( ~ sQ18_spl
      | open_covering(f24(X0,X1),X0,X1)
      | compact_space(X0,X1) ),
    inference(component_clause,[status(thm)],[f1404]) ).

fof(f1407,plain,
    ( sQ18_spl
    | sQ10_spl ),
    inference(split_clause,[status(thm)],[f1360,f1373,f1404]) ).

fof(f1408,definition,
    ! [X2,X3] :
      ( sQ19_spl
    <=> ( element_of_set(f20(X2,X3),X2)
        | hausdorff(X2,X3) ) ),
    introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).

fof(f1409,plain,
    ! [X0,X1] :
      ( ~ sQ19_spl
      | element_of_set(f20(X0,X1),X0)
      | hausdorff(X0,X1) ),
    inference(component_clause,[status(thm)],[f1408]) ).

fof(f1411,plain,
    ( sQ19_spl
    | sQ10_spl ),
    inference(split_clause,[status(thm)],[f1361,f1373,f1408]) ).

fof(f1412,definition,
    ! [X2,X3] :
      ( sQ20_spl
    <=> ( element_of_set(f19(X2,X3),X2)
        | hausdorff(X2,X3) ) ),
    introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).

fof(f1413,plain,
    ! [X0,X1] :
      ( ~ sQ20_spl
      | element_of_set(f19(X0,X1),X0)
      | hausdorff(X0,X1) ),
    inference(component_clause,[status(thm)],[f1412]) ).

fof(f1415,plain,
    ( sQ20_spl
    | sQ10_spl ),
    inference(split_clause,[status(thm)],[f1362,f1373,f1412]) ).

fof(f1416,definition,
    ! [X2,X3,X4] :
      ( sQ21_spl
    <=> ( element_of_collection(intersection_of_sets(X2,X4),X3)
        | ~ element_of_collection(X4,X3)
        | ~ element_of_collection(X2,X3) ) ),
    introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).

fof(f1417,plain,
    ! [X0,X1,X2] :
      ( ~ sQ21_spl
      | element_of_collection(intersection_of_sets(X0,X2),X1)
      | ~ element_of_collection(X2,X1)
      | ~ element_of_collection(X0,X1) ),
    inference(component_clause,[status(thm)],[f1416]) ).

fof(f1419,plain,
    ( sQ21_spl
    | sQ10_spl ),
    inference(split_clause,[status(thm)],[f1363,f1373,f1416]) ).

fof(f1420,definition,
    ! [X2] :
      ( sQ22_spl
    <=> element_of_collection(empty_set,X2) ),
    introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).

fof(f1421,plain,
    ! [X0] :
      ( ~ sQ22_spl
      | element_of_collection(empty_set,X0) ),
    inference(component_clause,[status(thm)],[f1420]) ).

fof(f1423,plain,
    ( sQ22_spl
    | sQ10_spl ),
    inference(split_clause,[status(thm)],[f1364,f1373,f1420]) ).

fof(f1424,definition,
    ! [X2,X3] :
      ( sQ23_spl
    <=> element_of_collection(X2,X3) ),
    introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).

fof(f1425,plain,
    ! [X0,X1] :
      ( ~ sQ23_spl
      | element_of_collection(X0,X1) ),
    inference(component_clause,[status(thm)],[f1424]) ).

fof(f1427,plain,
    ( sQ23_spl
    | sQ10_spl ),
    inference(split_clause,[status(thm)],[f1365,f1373,f1424]) ).

fof(f1428,definition,
    ! [X2,X3] :
      ( sQ24_spl
    <=> ( element_of_collection(union_of_members(X2),X3)
        | ~ subset_collections(X2,X3) ) ),
    introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).

fof(f1429,plain,
    ! [X0,X1] :
      ( ~ sQ24_spl
      | element_of_collection(union_of_members(X0),X1)
      | ~ subset_collections(X0,X1) ),
    inference(component_clause,[status(thm)],[f1428]) ).

fof(f1431,plain,
    ( sQ24_spl
    | sQ10_spl ),
    inference(split_clause,[status(thm)],[f1366,f1373,f1428]) ).

fof(f1432,definition,
    ! [X2,X3] :
      ( sQ25_spl
    <=> equal_sets(union_of_members(X2),X3) ),
    introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).

fof(f1433,plain,
    ! [X0,X1] :
      ( ~ sQ25_spl
      | equal_sets(union_of_members(X0),X1) ),
    inference(component_clause,[status(thm)],[f1432]) ).

fof(f1435,plain,
    ( sQ25_spl
    | sQ10_spl ),
    inference(split_clause,[status(thm)],[f1367,f1373,f1432]) ).

fof(f1436,definition,
    ! [X2,X3,X4] :
      ( sQ26_spl
    <=> ( subset_sets(f10(X4,intersection_of_members(top_of_basis(X3)),X2),intersection_of_members(top_of_basis(X3)))
        | ~ element_of_set(X2,intersection_of_members(top_of_basis(X3))) ) ),
    introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).

fof(f1437,plain,
    ! [X0,X1,X2] :
      ( ~ sQ26_spl
      | subset_sets(f10(X2,intersection_of_members(top_of_basis(X1)),X0),intersection_of_members(top_of_basis(X1)))
      | ~ element_of_set(X0,intersection_of_members(top_of_basis(X1))) ),
    inference(component_clause,[status(thm)],[f1436]) ).

fof(f1439,plain,
    ( sQ26_spl
    | sQ7_spl ),
    inference(split_clause,[status(thm)],[f1368,f1310,f1436]) ).

fof(f1440,definition,
    ! [X2,X3,X4] :
      ( sQ27_spl
    <=> ( element_of_collection(f10(X4,intersection_of_members(top_of_basis(X3)),X2),X4)
        | ~ element_of_set(X2,intersection_of_members(top_of_basis(X3))) ) ),
    introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).

fof(f1441,plain,
    ! [X0,X1,X2] :
      ( ~ sQ27_spl
      | element_of_collection(f10(X2,intersection_of_members(top_of_basis(X1)),X0),X2)
      | ~ element_of_set(X0,intersection_of_members(top_of_basis(X1))) ),
    inference(component_clause,[status(thm)],[f1440]) ).

fof(f1443,plain,
    ( sQ27_spl
    | sQ7_spl ),
    inference(split_clause,[status(thm)],[f1369,f1310,f1440]) ).

fof(f1444,definition,
    ! [X2,X3,X4] :
      ( sQ28_spl
    <=> ( element_of_set(X2,f10(X4,intersection_of_members(top_of_basis(X3)),X2))
        | ~ element_of_set(X2,intersection_of_members(top_of_basis(X3))) ) ),
    introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).

fof(f1445,plain,
    ! [X0,X1,X2] :
      ( ~ sQ28_spl
      | element_of_set(X0,f10(X2,intersection_of_members(top_of_basis(X1)),X0))
      | ~ element_of_set(X0,intersection_of_members(top_of_basis(X1))) ),
    inference(component_clause,[status(thm)],[f1444]) ).

fof(f1447,plain,
    ( sQ28_spl
    | sQ7_spl ),
    inference(split_clause,[status(thm)],[f1370,f1310,f1444]) ).

fof(f1448,definition,
    ! [X2,X3,X4] :
      ( sQ29_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,[sQ29_spl])],[split_symbol_definition]) ).

fof(f1449,plain,
    ! [X0,X1,X2] :
      ( ~ sQ29_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)],[f1448]) ).

fof(f1451,plain,
    ( sQ29_spl
    | sQ7_spl ),
    inference(split_clause,[status(thm)],[f1371,f1310,f1448]) ).

fof(f1452,definition,
    ! [X2,X3,X4] :
      ( sQ30_spl
    <=> ( ~ element_of_set(X2,intersection_of_members(top_of_basis(X4)))
        | element_of_set(X2,union_of_members(top_of_basis(X3))) ) ),
    introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).

fof(f1453,plain,
    ! [X0,X1,X2] :
      ( ~ sQ30_spl
      | ~ element_of_set(X0,intersection_of_members(top_of_basis(X2)))
      | element_of_set(X0,union_of_members(top_of_basis(X1))) ),
    inference(component_clause,[status(thm)],[f1452]) ).

fof(f1455,plain,
    ( sQ30_spl
    | sQ7_spl ),
    inference(split_clause,[status(thm)],[f1372,f1310,f1452]) ).

fof(f1456,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(X3,intersection_of_members(X2))
      | ~ element_of_collection(f1(X2,f11(X4,f2(X2,X3))),X4)
      | element_of_collection(f2(X2,X3),top_of_basis(X4))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f1334,f1068]) ).

fof(f1457,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(union_of_members(X2),top_of_basis(X3))
      | ~ element_of_collection(union_of_members(X2),X4)
      | element_of_collection(f1(X2,f11(X3,union_of_members(X2))),top_of_basis(X4))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f1334,f1035]) ).

fof(f1458,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(X3,intersection_of_members(X2))
      | ~ element_of_collection(union_of_members(X2),X4)
      | element_of_collection(f2(X2,X3),top_of_basis(X4))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f1334,f1069]) ).

fof(f1459,plain,
    ! [X0,X1,X2,X3] :
      ( ~ element_of_collection(union_of_members(X2),X3)
      | element_of_collection(union_of_members(top_of_basis(X2)),top_of_basis(X3))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f1334,f1023]) ).

fof(f1460,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ element_of_collection(X4,X3)
      | ~ element_of_set(f7(X2,X3),X4)
      | ~ equal_sets(union_of_members(X3),X2)
      | basis(X2,X3)
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f1334,f161]) ).

fof(f1461,plain,
    ! [X0,X1,X2,X3] :
      ( ~ element_of_collection(X2,X3)
      | element_of_collection(X2,top_of_basis(X3))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f1334,f1070]) ).

fof(f1462,plain,
    ! [X0,X1,X2,X3,X4] :
      ( subset_sets(f10(X4,intersection_of_members(top_of_basis(X3)),X2),intersection_of_members(top_of_basis(X3)))
      | ~ element_of_set(X2,intersection_of_members(top_of_basis(X3)))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f1334,f164]) ).

fof(f1463,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f10(X4,intersection_of_members(top_of_basis(X3)),X2),X4)
      | ~ element_of_set(X2,intersection_of_members(top_of_basis(X3)))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f1334,f163]) ).

fof(f1464,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(X2,f10(X4,intersection_of_members(top_of_basis(X3)),X2))
      | ~ element_of_set(X2,intersection_of_members(top_of_basis(X3)))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f1334,f162]) ).

fof(f1465,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)],[f1334,f291]) ).

fof(f1466,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ element_of_set(X2,intersection_of_members(top_of_basis(X4)))
      | element_of_set(X2,union_of_members(top_of_basis(X3)))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f1334,f116]) ).

fof(f1467,definition,
    ! [X2,X3,X4] :
      ( sQ31_spl
    <=> ( element_of_set(X3,intersection_of_members(X2))
        | ~ element_of_collection(f1(X2,f11(X4,f2(X2,X3))),X4)
        | element_of_collection(f2(X2,X3),top_of_basis(X4)) ) ),
    introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).

fof(f1468,plain,
    ! [X0,X1,X2] :
      ( ~ sQ31_spl
      | element_of_set(X1,intersection_of_members(X0))
      | ~ element_of_collection(f1(X0,f11(X2,f2(X0,X1))),X2)
      | element_of_collection(f2(X0,X1),top_of_basis(X2)) ),
    inference(component_clause,[status(thm)],[f1467]) ).

fof(f1470,plain,
    ( sQ31_spl
    | sQ10_spl ),
    inference(split_clause,[status(thm)],[f1456,f1373,f1467]) ).

fof(f1471,definition,
    ! [X2,X3,X4] :
      ( sQ32_spl
    <=> ( element_of_collection(union_of_members(X2),top_of_basis(X3))
        | ~ element_of_collection(union_of_members(X2),X4)
        | element_of_collection(f1(X2,f11(X3,union_of_members(X2))),top_of_basis(X4)) ) ),
    introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).

fof(f1472,plain,
    ! [X0,X1,X2] :
      ( ~ sQ32_spl
      | element_of_collection(union_of_members(X0),top_of_basis(X1))
      | ~ element_of_collection(union_of_members(X0),X2)
      | element_of_collection(f1(X0,f11(X1,union_of_members(X0))),top_of_basis(X2)) ),
    inference(component_clause,[status(thm)],[f1471]) ).

fof(f1474,plain,
    ( sQ32_spl
    | sQ10_spl ),
    inference(split_clause,[status(thm)],[f1457,f1373,f1471]) ).

fof(f1475,definition,
    ! [X2,X3,X4] :
      ( sQ33_spl
    <=> ( element_of_set(X3,intersection_of_members(X2))
        | ~ element_of_collection(union_of_members(X2),X4)
        | element_of_collection(f2(X2,X3),top_of_basis(X4)) ) ),
    introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).

fof(f1476,plain,
    ! [X0,X1,X2] :
      ( ~ sQ33_spl
      | element_of_set(X1,intersection_of_members(X0))
      | ~ element_of_collection(union_of_members(X0),X2)
      | element_of_collection(f2(X0,X1),top_of_basis(X2)) ),
    inference(component_clause,[status(thm)],[f1475]) ).

fof(f1478,plain,
    ( sQ33_spl
    | sQ10_spl ),
    inference(split_clause,[status(thm)],[f1458,f1373,f1475]) ).

fof(f1479,definition,
    ! [X2,X3] :
      ( sQ34_spl
    <=> ( ~ element_of_collection(union_of_members(X2),X3)
        | element_of_collection(union_of_members(top_of_basis(X2)),top_of_basis(X3)) ) ),
    introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).

fof(f1480,plain,
    ! [X0,X1] :
      ( ~ sQ34_spl
      | ~ element_of_collection(union_of_members(X0),X1)
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(component_clause,[status(thm)],[f1479]) ).

fof(f1482,plain,
    ( sQ34_spl
    | sQ10_spl ),
    inference(split_clause,[status(thm)],[f1459,f1373,f1479]) ).

fof(f1483,definition,
    ! [X2,X3,X4] :
      ( sQ35_spl
    <=> ( ~ element_of_collection(X4,X3)
        | ~ element_of_set(f7(X2,X3),X4)
        | ~ equal_sets(union_of_members(X3),X2)
        | basis(X2,X3) ) ),
    introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).

fof(f1484,plain,
    ! [X0,X1,X2] :
      ( ~ sQ35_spl
      | ~ element_of_collection(X2,X1)
      | ~ element_of_set(f7(X0,X1),X2)
      | ~ equal_sets(union_of_members(X1),X0)
      | basis(X0,X1) ),
    inference(component_clause,[status(thm)],[f1483]) ).

fof(f1486,plain,
    ( sQ35_spl
    | sQ10_spl ),
    inference(split_clause,[status(thm)],[f1460,f1373,f1483]) ).

fof(f1487,definition,
    ! [X2,X3] :
      ( sQ36_spl
    <=> ( ~ element_of_collection(X2,X3)
        | element_of_collection(X2,top_of_basis(X3)) ) ),
    introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).

fof(f1488,plain,
    ! [X0,X1] :
      ( ~ sQ36_spl
      | ~ element_of_collection(X0,X1)
      | element_of_collection(X0,top_of_basis(X1)) ),
    inference(component_clause,[status(thm)],[f1487]) ).

fof(f1490,plain,
    ( sQ36_spl
    | sQ10_spl ),
    inference(split_clause,[status(thm)],[f1461,f1373,f1487]) ).

fof(f1491,definition,
    ! [X0,X1] :
      ( sQ37_spl
    <=> subset_sets(X0,X1) ),
    introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).

fof(f1492,plain,
    ! [X0,X1] :
      ( ~ sQ37_spl
      | subset_sets(X0,X1) ),
    inference(component_clause,[status(thm)],[f1491]) ).

fof(f1494,plain,
    ( sQ26_spl
    | sQ37_spl ),
    inference(split_clause,[status(thm)],[f1462,f1491,f1436]) ).

fof(f1495,plain,
    ( sQ27_spl
    | sQ37_spl ),
    inference(split_clause,[status(thm)],[f1463,f1491,f1440]) ).

fof(f1496,plain,
    ( sQ28_spl
    | sQ37_spl ),
    inference(split_clause,[status(thm)],[f1464,f1491,f1444]) ).

fof(f1497,plain,
    ( sQ29_spl
    | sQ37_spl ),
    inference(split_clause,[status(thm)],[f1465,f1491,f1448]) ).

fof(f1498,plain,
    ( sQ30_spl
    | sQ37_spl ),
    inference(split_clause,[status(thm)],[f1466,f1491,f1452]) ).

fof(f1499,plain,
    ! [X0,X1,X2,X3,X4] :
      ( subset_sets(f10(X4,union_of_members(subspace_topology(X0,X1,X3)),X2),union_of_members(subspace_topology(X0,X1,X3)))
      | ~ element_of_set(X2,union_of_members(subspace_topology(X0,X1,X3)))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f800,f164]) ).

fof(f1500,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f10(X4,union_of_members(subspace_topology(X0,X1,X3)),X2),X4)
      | ~ element_of_set(X2,union_of_members(subspace_topology(X0,X1,X3)))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f800,f163]) ).

fof(f1501,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(X2,f10(X4,union_of_members(subspace_topology(X0,X1,X3)),X2))
      | ~ element_of_set(X2,union_of_members(subspace_topology(X0,X1,X3)))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f800,f162]) ).

fof(f1503,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ element_of_set(X2,union_of_members(subspace_topology(X0,X1,X4)))
      | element_of_set(X2,union_of_members(top_of_basis(X3)))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f800,f116]) ).

fof(f1504,plain,
    ! [X0,X1,X2,X3,X4] :
      ( subset_sets(f10(X4,union_of_members(subspace_topology(X1,X3,X0)),X2),union_of_members(subspace_topology(X1,X3,X0)))
      | ~ element_of_set(X2,union_of_members(subspace_topology(X1,X3,X0)))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f876,f164]) ).

fof(f1505,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f10(X4,union_of_members(subspace_topology(X1,X3,X0)),X2),X4)
      | ~ element_of_set(X2,union_of_members(subspace_topology(X1,X3,X0)))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f876,f163]) ).

fof(f1506,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(X2,f10(X4,union_of_members(subspace_topology(X1,X3,X0)),X2))
      | ~ element_of_set(X2,union_of_members(subspace_topology(X1,X3,X0)))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f876,f162]) ).

fof(f1508,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ element_of_set(X2,union_of_members(subspace_topology(X1,X4,X0)))
      | element_of_set(X2,union_of_members(top_of_basis(X3)))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f876,f116]) ).

fof(f1511,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_collection(f10(subspace_topology(X0,X1,X3),f2(top_of_basis(subspace_topology(X0,X1,X3)),X4),f11(X5,f2(top_of_basis(subspace_topology(X0,X1,X3)),X4))),top_of_basis(X2))
      | element_of_collection(f2(top_of_basis(subspace_topology(X0,X1,X3)),X4),top_of_basis(X5))
      | element_of_set(X4,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X3))))
      | element_of_set(f11(X2,f10(subspace_topology(X0,X1,X3),f2(top_of_basis(subspace_topology(X0,X1,X3)),X4),f11(X5,f2(top_of_basis(subspace_topology(X0,X1,X3)),X4)))),union_of_members(top_of_basis(X6)))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1503,f733]) ).

fof(f1528,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(f2(top_of_basis(subspace_topology(X0,X1,X3)),X4),top_of_basis(X2))
      | element_of_set(X4,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X3))))
      | element_of_set(f11(X2,f2(top_of_basis(subspace_topology(X0,X1,X3)),X4)),union_of_members(top_of_basis(X5)))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1503,f743]) ).

fof(f1533,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_collection(f10(subspace_topology(X1,X3,X0),f2(top_of_basis(subspace_topology(X1,X3,X0)),X4),f11(X5,f2(top_of_basis(subspace_topology(X1,X3,X0)),X4))),top_of_basis(X2))
      | element_of_collection(f2(top_of_basis(subspace_topology(X1,X3,X0)),X4),top_of_basis(X5))
      | element_of_set(X4,intersection_of_members(top_of_basis(subspace_topology(X1,X3,X0))))
      | element_of_set(f11(X2,f10(subspace_topology(X1,X3,X0),f2(top_of_basis(subspace_topology(X1,X3,X0)),X4),f11(X5,f2(top_of_basis(subspace_topology(X1,X3,X0)),X4)))),union_of_members(top_of_basis(X6)))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f1508,f733]) ).

fof(f1550,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(f2(top_of_basis(subspace_topology(X1,X3,X0)),X4),top_of_basis(X2))
      | element_of_set(X4,intersection_of_members(top_of_basis(subspace_topology(X1,X3,X0))))
      | element_of_set(f11(X2,f2(top_of_basis(subspace_topology(X1,X3,X0)),X4)),union_of_members(top_of_basis(X5)))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f1508,f743]) ).

fof(f1553,plain,
    ! [X0,X1] :
      ( ~ sQ6_spl
      | ~ subset_sets(union_of_members(top_of_basis(X0)),intersection_of_members(top_of_basis(X0)))
      | ~ element_of_collection(union_of_members(top_of_basis(X0)),X1)
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f411,f167]) ).

fof(f1556,plain,
    ! [X0,X1] :
      ( ~ sQ6_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)],[f411,f114]) ).

fof(f1557,plain,
    ! [X0,X1] :
      ( ~ sQ6_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)],[f411,f113]) ).

fof(f1558,plain,
    ! [X0,X1] :
      ( ~ sQ6_spl
      | ~ subset_sets(union_of_members(top_of_basis(X0)),intersection_of_members(top_of_basis(X0)))
      | ~ element_of_collection(union_of_members(top_of_basis(X0)),X1)
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f1553]) ).

fof(f1559,plain,
    ! [X0,X1] :
      ( ~ sQ6_spl
      | ~ element_of_collection(union_of_members(top_of_basis(X0)),X1)
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1558,f1334]) ).

fof(f1560,plain,
    ! [X0,X1,X2,X3] :
      ( ~ subset_sets(intersection_of_members(X0),X2)
      | ~ element_of_collection(intersection_of_members(X0),X3)
      | element_of_collection(X2,top_of_basis(X3))
      | element_of_set(f11(X1,intersection_of_members(X0)),union_of_members(X0))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f360,f167]) ).

fof(f1561,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)],[f360,f118]) ).

fof(f1562,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(union_of_members(X0),intersection_of_members(X0))
      | ~ element_of_collection(union_of_members(X0),X1)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1))
      | element_of_set(X2,intersection_of_members(X0))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f360,f167]) ).

fof(f1567,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)],[f360,f114]) ).

fof(f1568,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)],[f360,f113]) ).

fof(f1569,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(union_of_members(X0),intersection_of_members(X0))
      | ~ element_of_collection(union_of_members(X0),X1)
      | 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)],[f1562]) ).

fof(f1570,plain,
    ! [X0,X1,X2] :
      ( ~ sQ29_spl
      | ~ subset_sets(intersection_of_members(top_of_basis(X2)),intersection_of_members(top_of_basis(X0)))
      | ~ element_of_collection(intersection_of_members(top_of_basis(X2)),X1)
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f1449,f167]) ).

fof(f1571,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ29_spl
      | element_of_set(f11(X1,intersection_of_members(top_of_basis(X0))),X2)
      | ~ element_of_collection(X2,top_of_basis(X3))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f1449,f118]) ).

fof(f1572,plain,
    ! [X0,X1,X2] :
      ( ~ sQ29_spl
      | ~ subset_sets(intersection_of_members(top_of_basis(X2)),intersection_of_members(top_of_basis(X0)))
      | ~ element_of_collection(intersection_of_members(top_of_basis(X2)),X1)
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f1570]) ).

fof(f1573,plain,
    ! [X0,X1,X2] :
      ( ~ sQ29_spl
      | ~ element_of_collection(intersection_of_members(top_of_basis(X2)),X1)
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1572,f1334]) ).

fof(f1574,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( equal_sets(f12(X1,subspace_topology(X2,X3,X4),X5,f2(subspace_topology(X1,subspace_topology(X2,X3,X4),X5),X0)),intersection_of_sets(X4,f12(X2,X3,X4,f12(X1,subspace_topology(X2,X3,X4),X5,f2(subspace_topology(X1,subspace_topology(X2,X3,X4),X5),X0)))))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,subspace_topology(X2,X3,X4),X5))) ),
    inference(resolution,[status(thm)],[f1110,f173]) ).

fof(f1575,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(f12(X2,X3,X4,f12(X1,subspace_topology(X2,X3,X4),X5,f2(subspace_topology(X1,subspace_topology(X2,X3,X4),X5),X0))),X3)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,subspace_topology(X2,X3,X4),X5))) ),
    inference(resolution,[status(thm)],[f1110,f172]) ).

fof(f1576,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( subset_sets(X4,X2)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,subspace_topology(X2,X3,X4),X5))) ),
    inference(resolution,[status(thm)],[f1110,f171]) ).

fof(f1577,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( topological_space(X2,X3)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,subspace_topology(X2,X3,X4),X5))) ),
    inference(resolution,[status(thm)],[f1110,f169]) ).

fof(f1578,plain,
    ! [X0,X1,X2,X3,X4] :
      ( subset_sets(f10(X2,f12(X1,top_of_basis(X2),X3,f2(subspace_topology(X1,top_of_basis(X2),X3),X0)),X4),f12(X1,top_of_basis(X2),X3,f2(subspace_topology(X1,top_of_basis(X2),X3),X0)))
      | ~ element_of_set(X4,f12(X1,top_of_basis(X2),X3,f2(subspace_topology(X1,top_of_basis(X2),X3),X0)))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,top_of_basis(X2),X3))) ),
    inference(resolution,[status(thm)],[f1110,f164]) ).

fof(f1579,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f10(X2,f12(X1,top_of_basis(X2),X3,f2(subspace_topology(X1,top_of_basis(X2),X3),X0)),X4),X2)
      | ~ element_of_set(X4,f12(X1,top_of_basis(X2),X3,f2(subspace_topology(X1,top_of_basis(X2),X3),X0)))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,top_of_basis(X2),X3))) ),
    inference(resolution,[status(thm)],[f1110,f163]) ).

fof(f1580,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(X4,f10(X2,f12(X1,top_of_basis(X2),X3,f2(subspace_topology(X1,top_of_basis(X2),X3),X0)),X4))
      | ~ element_of_set(X4,f12(X1,top_of_basis(X2),X3,f2(subspace_topology(X1,top_of_basis(X2),X3),X0)))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,top_of_basis(X2),X3))) ),
    inference(resolution,[status(thm)],[f1110,f162]) ).

fof(f1581,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(f11(X4,intersection_of_members(X2)),f12(X1,X2,X3,f2(subspace_topology(X1,X2,X3),X0)))
      | element_of_collection(intersection_of_members(X2),top_of_basis(X4))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,X2,X3))) ),
    inference(resolution,[status(thm)],[f1110,f291]) ).

fof(f1582,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ element_of_set(X4,f12(X1,X2,X3,f2(subspace_topology(X1,X2,X3),X0)))
      | element_of_set(X4,union_of_members(X2))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,X2,X3))) ),
    inference(resolution,[status(thm)],[f1110,f116]) ).

fof(f1583,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ subset_sets(intersection_of_members(subspace_topology(X4,subspace_topology(X1,X5,X0),X6)),X2)
      | ~ element_of_collection(intersection_of_members(subspace_topology(X4,subspace_topology(X1,X5,X0),X6)),X3)
      | element_of_collection(X2,top_of_basis(X3))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f1576,f167]) ).

fof(f1584,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_set(X6,X2)
      | ~ element_of_collection(X2,subspace_topology(X3,subspace_topology(X1,X4,X0),X5))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f1576,f118]) ).

fof(f1585,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ subset_sets(intersection_of_members(subspace_topology(X4,subspace_topology(X0,X1,X5),X6)),X2)
      | ~ element_of_collection(intersection_of_members(subspace_topology(X4,subspace_topology(X0,X1,X5),X6)),X3)
      | element_of_collection(X2,top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1577,f167]) ).

fof(f1586,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_set(X6,X2)
      | ~ element_of_collection(X2,subspace_topology(X3,subspace_topology(X0,X1,X4),X5))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1577,f118]) ).

fof(f1588,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f2(top_of_basis(X0),X1),top_of_basis(X2))
      | element_of_set(X1,intersection_of_members(top_of_basis(X0)))
      | subset_sets(f10(X0,f2(top_of_basis(X0),X1),f11(X2,f2(top_of_basis(X0),X1))),f2(top_of_basis(X0),X1)) ),
    inference(resolution,[status(thm)],[f859,f165]) ).

fof(f1590,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ element_of_collection(f12(X1,X2,X3,f2(subspace_topology(X1,X2,X3),X0)),X5)
      | ~ subset_sets(X3,X4)
      | ~ topological_space(X4,X5)
      | element_of_collection(f2(subspace_topology(X1,X2,X3),X0),subspace_topology(X4,X5,X3))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,X2,X3))) ),
    inference(resolution,[status(thm)],[f1148,f175]) ).

fof(f1592,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X1))
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X1))
      | subset_sets(f10(X0,f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))),f11(X1,union_of_members(top_of_basis(X0)))),f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0))))) ),
    inference(resolution,[status(thm)],[f838,f293]) ).

fof(f1593,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))),top_of_basis(X2))
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X1))
      | subset_sets(f10(X0,f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))),f11(X2,f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))))),f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0))))) ),
    inference(resolution,[status(thm)],[f838,f165]) ).

fof(f1595,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X1))
      | subset_sets(f10(X0,f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))),f11(X1,union_of_members(top_of_basis(X0)))),f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0))))) ),
    inference(duplicate_literals_removal,[status(thm)],[f1592]) ).

fof(f1596,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( equal_sets(f12(X0,subspace_topology(X1,X2,X3),X4,f1(subspace_topology(X0,subspace_topology(X1,X2,X3),X4),f11(X5,union_of_members(subspace_topology(X0,subspace_topology(X1,X2,X3),X4))))),intersection_of_sets(X3,f12(X1,X2,X3,f12(X0,subspace_topology(X1,X2,X3),X4,f1(subspace_topology(X0,subspace_topology(X1,X2,X3),X4),f11(X5,union_of_members(subspace_topology(X0,subspace_topology(X1,X2,X3),X4))))))))
      | element_of_collection(union_of_members(subspace_topology(X0,subspace_topology(X1,X2,X3),X4)),top_of_basis(X5)) ),
    inference(resolution,[status(thm)],[f1089,f173]) ).

fof(f1597,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_collection(f12(X1,X2,X3,f12(X0,subspace_topology(X1,X2,X3),X4,f1(subspace_topology(X0,subspace_topology(X1,X2,X3),X4),f11(X5,union_of_members(subspace_topology(X0,subspace_topology(X1,X2,X3),X4)))))),X2)
      | element_of_collection(union_of_members(subspace_topology(X0,subspace_topology(X1,X2,X3),X4)),top_of_basis(X5)) ),
    inference(resolution,[status(thm)],[f1089,f172]) ).

fof(f1598,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( subset_sets(X3,X1)
      | element_of_collection(union_of_members(subspace_topology(X0,subspace_topology(X1,X2,X3),X4)),top_of_basis(X5)) ),
    inference(resolution,[status(thm)],[f1089,f171]) ).

fof(f1599,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( topological_space(X1,X2)
      | element_of_collection(union_of_members(subspace_topology(X0,subspace_topology(X1,X2,X3),X4)),top_of_basis(X5)) ),
    inference(resolution,[status(thm)],[f1089,f169]) ).

fof(f1600,plain,
    ! [X0,X1,X2,X3,X4] :
      ( subset_sets(f10(X1,f12(X0,top_of_basis(X1),X2,f1(subspace_topology(X0,top_of_basis(X1),X2),f11(X3,union_of_members(subspace_topology(X0,top_of_basis(X1),X2))))),X4),f12(X0,top_of_basis(X1),X2,f1(subspace_topology(X0,top_of_basis(X1),X2),f11(X3,union_of_members(subspace_topology(X0,top_of_basis(X1),X2))))))
      | ~ element_of_set(X4,f12(X0,top_of_basis(X1),X2,f1(subspace_topology(X0,top_of_basis(X1),X2),f11(X3,union_of_members(subspace_topology(X0,top_of_basis(X1),X2))))))
      | element_of_collection(union_of_members(subspace_topology(X0,top_of_basis(X1),X2)),top_of_basis(X3)) ),
    inference(resolution,[status(thm)],[f1089,f164]) ).

fof(f1601,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f10(X1,f12(X0,top_of_basis(X1),X2,f1(subspace_topology(X0,top_of_basis(X1),X2),f11(X3,union_of_members(subspace_topology(X0,top_of_basis(X1),X2))))),X4),X1)
      | ~ element_of_set(X4,f12(X0,top_of_basis(X1),X2,f1(subspace_topology(X0,top_of_basis(X1),X2),f11(X3,union_of_members(subspace_topology(X0,top_of_basis(X1),X2))))))
      | element_of_collection(union_of_members(subspace_topology(X0,top_of_basis(X1),X2)),top_of_basis(X3)) ),
    inference(resolution,[status(thm)],[f1089,f163]) ).

fof(f1602,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(X4,f10(X1,f12(X0,top_of_basis(X1),X2,f1(subspace_topology(X0,top_of_basis(X1),X2),f11(X3,union_of_members(subspace_topology(X0,top_of_basis(X1),X2))))),X4))
      | ~ element_of_set(X4,f12(X0,top_of_basis(X1),X2,f1(subspace_topology(X0,top_of_basis(X1),X2),f11(X3,union_of_members(subspace_topology(X0,top_of_basis(X1),X2))))))
      | element_of_collection(union_of_members(subspace_topology(X0,top_of_basis(X1),X2)),top_of_basis(X3)) ),
    inference(resolution,[status(thm)],[f1089,f162]) ).

fof(f1603,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(f11(X4,intersection_of_members(X1)),f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,union_of_members(subspace_topology(X0,X1,X2))))))
      | element_of_collection(intersection_of_members(X1),top_of_basis(X4))
      | element_of_collection(union_of_members(subspace_topology(X0,X1,X2)),top_of_basis(X3)) ),
    inference(resolution,[status(thm)],[f1089,f291]) ).

fof(f1604,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ element_of_set(X4,f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,union_of_members(subspace_topology(X0,X1,X2))))))
      | element_of_set(X4,union_of_members(X1))
      | element_of_collection(union_of_members(subspace_topology(X0,X1,X2)),top_of_basis(X3)) ),
    inference(resolution,[status(thm)],[f1089,f116]) ).

fof(f1605,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ element_of_collection(f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,union_of_members(subspace_topology(X0,X1,X2))))),X5)
      | ~ subset_sets(X2,X4)
      | ~ topological_space(X4,X5)
      | element_of_collection(f1(subspace_topology(X0,X1,X2),f11(X3,union_of_members(subspace_topology(X0,X1,X2)))),subspace_topology(X4,X5,X2))
      | element_of_collection(union_of_members(subspace_topology(X0,X1,X2)),top_of_basis(X3)) ),
    inference(resolution,[status(thm)],[f1127,f175]) ).

fof(f1606,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_members(subspace_topology(X0,X1,X4)),X3)
      | element_of_collection(X2,top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1307,f1334]) ).

fof(f1607,definition,
    ! [X0,X1,X2,X3,X4] :
      ( sQ38_spl
    <=> ( ~ element_of_collection(intersection_of_members(subspace_topology(X0,X1,X4)),X3)
        | element_of_collection(X2,top_of_basis(X3))
        | topological_space(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).

fof(f1608,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ38_spl
      | ~ element_of_collection(intersection_of_members(subspace_topology(X0,X1,X4)),X3)
      | element_of_collection(X2,top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(component_clause,[status(thm)],[f1607]) ).

fof(f1610,plain,
    ( sQ10_spl
    | sQ38_spl ),
    inference(split_clause,[status(thm)],[f1606,f1607,f1373]) ).

fof(f1611,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_members(subspace_topology(X1,X4,X0)),X3)
      | element_of_collection(X2,top_of_basis(X3))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f1321,f1334]) ).

fof(f1612,definition,
    ! [X0,X1,X2,X3,X4] :
      ( sQ39_spl
    <=> ( ~ element_of_collection(intersection_of_members(subspace_topology(X1,X4,X0)),X3)
        | element_of_collection(X2,top_of_basis(X3))
        | subset_sets(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).

fof(f1613,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ39_spl
      | ~ element_of_collection(intersection_of_members(subspace_topology(X1,X4,X0)),X3)
      | element_of_collection(X2,top_of_basis(X3))
      | subset_sets(X0,X1) ),
    inference(component_clause,[status(thm)],[f1612]) ).

fof(f1615,plain,
    ( sQ10_spl
    | sQ39_spl ),
    inference(split_clause,[status(thm)],[f1611,f1612,f1373]) ).

fof(f1616,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ element_of_collection(f12(X2,X3,X4,f12(X1,subspace_topology(X2,X3,X4),X5,f2(subspace_topology(X1,subspace_topology(X2,X3,X4),X5),X0))),X7)
      | ~ subset_sets(X4,X6)
      | ~ topological_space(X6,X7)
      | element_of_collection(f12(X1,subspace_topology(X2,X3,X4),X5,f2(subspace_topology(X1,subspace_topology(X2,X3,X4),X5),X0)),subspace_topology(X6,X7,X4))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,subspace_topology(X2,X3,X4),X5))) ),
    inference(resolution,[status(thm)],[f1574,f175]) ).

fof(f1617,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( equal_sets(f12(X2,subspace_topology(X3,X4,X5),X6,f12(X1,subspace_topology(X2,subspace_topology(X3,X4,X5),X6),X7,f2(subspace_topology(X1,subspace_topology(X2,subspace_topology(X3,X4,X5),X6),X7),X0))),intersection_of_sets(X5,f12(X3,X4,X5,f12(X2,subspace_topology(X3,X4,X5),X6,f12(X1,subspace_topology(X2,subspace_topology(X3,X4,X5),X6),X7,f2(subspace_topology(X1,subspace_topology(X2,subspace_topology(X3,X4,X5),X6),X7),X0))))))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,subspace_topology(X2,subspace_topology(X3,X4,X5),X6),X7))) ),
    inference(resolution,[status(thm)],[f1575,f173]) ).

fof(f1618,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( element_of_collection(f12(X3,X4,X5,f12(X2,subspace_topology(X3,X4,X5),X6,f12(X1,subspace_topology(X2,subspace_topology(X3,X4,X5),X6),X7,f2(subspace_topology(X1,subspace_topology(X2,subspace_topology(X3,X4,X5),X6),X7),X0)))),X4)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,subspace_topology(X2,subspace_topology(X3,X4,X5),X6),X7))) ),
    inference(resolution,[status(thm)],[f1575,f172]) ).

fof(f1619,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( subset_sets(X5,X3)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,subspace_topology(X2,subspace_topology(X3,X4,X5),X6),X7))) ),
    inference(resolution,[status(thm)],[f1575,f171]) ).

fof(f1620,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( topological_space(X3,X4)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,subspace_topology(X2,subspace_topology(X3,X4,X5),X6),X7))) ),
    inference(resolution,[status(thm)],[f1575,f169]) ).

fof(f1621,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( subset_sets(f10(X3,f12(X2,top_of_basis(X3),X4,f12(X1,subspace_topology(X2,top_of_basis(X3),X4),X5,f2(subspace_topology(X1,subspace_topology(X2,top_of_basis(X3),X4),X5),X0))),X6),f12(X2,top_of_basis(X3),X4,f12(X1,subspace_topology(X2,top_of_basis(X3),X4),X5,f2(subspace_topology(X1,subspace_topology(X2,top_of_basis(X3),X4),X5),X0))))
      | ~ element_of_set(X6,f12(X2,top_of_basis(X3),X4,f12(X1,subspace_topology(X2,top_of_basis(X3),X4),X5,f2(subspace_topology(X1,subspace_topology(X2,top_of_basis(X3),X4),X5),X0))))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,subspace_topology(X2,top_of_basis(X3),X4),X5))) ),
    inference(resolution,[status(thm)],[f1575,f164]) ).

fof(f1622,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_collection(f10(X3,f12(X2,top_of_basis(X3),X4,f12(X1,subspace_topology(X2,top_of_basis(X3),X4),X5,f2(subspace_topology(X1,subspace_topology(X2,top_of_basis(X3),X4),X5),X0))),X6),X3)
      | ~ element_of_set(X6,f12(X2,top_of_basis(X3),X4,f12(X1,subspace_topology(X2,top_of_basis(X3),X4),X5,f2(subspace_topology(X1,subspace_topology(X2,top_of_basis(X3),X4),X5),X0))))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,subspace_topology(X2,top_of_basis(X3),X4),X5))) ),
    inference(resolution,[status(thm)],[f1575,f163]) ).

fof(f1623,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_set(X6,f10(X3,f12(X2,top_of_basis(X3),X4,f12(X1,subspace_topology(X2,top_of_basis(X3),X4),X5,f2(subspace_topology(X1,subspace_topology(X2,top_of_basis(X3),X4),X5),X0))),X6))
      | ~ element_of_set(X6,f12(X2,top_of_basis(X3),X4,f12(X1,subspace_topology(X2,top_of_basis(X3),X4),X5,f2(subspace_topology(X1,subspace_topology(X2,top_of_basis(X3),X4),X5),X0))))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,subspace_topology(X2,top_of_basis(X3),X4),X5))) ),
    inference(resolution,[status(thm)],[f1575,f162]) ).

fof(f1624,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_set(f11(X6,intersection_of_members(X3)),f12(X2,X3,X4,f12(X1,subspace_topology(X2,X3,X4),X5,f2(subspace_topology(X1,subspace_topology(X2,X3,X4),X5),X0))))
      | element_of_collection(intersection_of_members(X3),top_of_basis(X6))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,subspace_topology(X2,X3,X4),X5))) ),
    inference(resolution,[status(thm)],[f1575,f291]) ).

fof(f1625,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ element_of_set(X6,f12(X2,X3,X4,f12(X1,subspace_topology(X2,X3,X4),X5,f2(subspace_topology(X1,subspace_topology(X2,X3,X4),X5),X0))))
      | element_of_set(X6,union_of_members(X3))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,subspace_topology(X2,X3,X4),X5))) ),
    inference(resolution,[status(thm)],[f1575,f116]) ).

fof(f1626,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f12(X1,top_of_basis(X2),X3,f2(subspace_topology(X1,top_of_basis(X2),X3),X0)),top_of_basis(X4))
      | subset_sets(f10(X2,f12(X1,top_of_basis(X2),X3,f2(subspace_topology(X1,top_of_basis(X2),X3),X0)),f11(X4,f12(X1,top_of_basis(X2),X3,f2(subspace_topology(X1,top_of_basis(X2),X3),X0)))),f12(X1,top_of_basis(X2),X3,f2(subspace_topology(X1,top_of_basis(X2),X3),X0)))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,top_of_basis(X2),X3))) ),
    inference(resolution,[status(thm)],[f1578,f165]) ).

fof(f1627,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f12(X1,top_of_basis(X2),X3,f2(subspace_topology(X1,top_of_basis(X2),X3),X0)),top_of_basis(X4))
      | element_of_collection(f10(X2,f12(X1,top_of_basis(X2),X3,f2(subspace_topology(X1,top_of_basis(X2),X3),X0)),f11(X4,f12(X1,top_of_basis(X2),X3,f2(subspace_topology(X1,top_of_basis(X2),X3),X0)))),X2)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,top_of_basis(X2),X3))) ),
    inference(resolution,[status(thm)],[f1579,f165]) ).

fof(f1628,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f12(X1,top_of_basis(X2),X3,f2(subspace_topology(X1,top_of_basis(X2),X3),X0)),top_of_basis(X4))
      | element_of_set(f11(X4,f12(X1,top_of_basis(X2),X3,f2(subspace_topology(X1,top_of_basis(X2),X3),X0))),f10(X2,f12(X1,top_of_basis(X2),X3,f2(subspace_topology(X1,top_of_basis(X2),X3),X0)),f11(X4,f12(X1,top_of_basis(X2),X3,f2(subspace_topology(X1,top_of_basis(X2),X3),X0)))))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,top_of_basis(X2),X3))) ),
    inference(resolution,[status(thm)],[f1580,f165]) ).

fof(f1630,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ subset_collections(X1,X0)
      | ~ topological_space(X2,X1)
      | finer(X0,X1,X2) ),
    inference(backward_subsumption_resolution,[status(thm)],[f152,f1311]) ).

fof(f1631,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)],[f240,f1311]) ).

fof(f1632,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)],[f210,f1311]) ).

fof(f1633,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ element_of_collection(X0,X2)
      | open(X0,X1,X2) ),
    inference(backward_subsumption_resolution,[status(thm)],[f140,f1311]) ).

fof(f1636,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)],[f208,f1311]) ).

fof(f1638,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | separation(f21(X0,X1),f22(X0,X1),X0,X1)
      | connected_space(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f244,f1311]) ).

fof(f1639,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | open_covering(f24(X0,X1),X0,X1)
      | compact_space(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f263,f1311]) ).

fof(f1640,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | element_of_set(f20(X0,X1),X0)
      | hausdorff(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f221,f1311]) ).

fof(f1641,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | element_of_set(f19(X0,X1),X0)
      | hausdorff(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f220,f1311]) ).

fof(f1644,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | element_of_collection(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f124,f1311]) ).

fof(f1646,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | equal_sets(union_of_members(X0),X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f121,f1311]) ).

fof(f1647,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ subset_collections(X1,X0)
      | finer(X0,X1,X2) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1630,f1311]) ).

fof(f1648,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ subset_sets(X2,intersection_of_sets(f8(X0,X1),f9(X0,X1)))
      | ~ element_of_set(f7(X0,X1),X2)
      | ~ equal_sets(union_of_members(X1),X0)
      | basis(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f161,f1644]) ).

fof(f1650,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | element_of_set(X2,f6(X0,X1,X2,X3,X4))
      | ~ element_of_set(X2,intersection_of_sets(X3,X4))
      | ~ element_of_collection(X3,X1)
      | ~ element_of_set(X2,X0)
      | ~ basis(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f154,f1644]) ).

fof(f1651,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)],[f118,f1644]) ).

fof(f1652,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | equal_sets(X0,intersection_of_sets(X1,f12(X2,X3,X1,X0))) ),
    inference(backward_subsumption_resolution,[status(thm)],[f173,f1644]) ).

fof(f1653,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | subset_sets(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f171,f1644]) ).

fof(f1655,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | element_of_set(X0,f10(X2,X1,X0))
      | ~ element_of_set(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f162,f1644]) ).

fof(f1656,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)],[f116,f1644]) ).

fof(f1658,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | element_of_set(X2,f6(X0,X1,X2,X3,X4))
      | ~ element_of_set(X2,intersection_of_sets(X3,X4))
      | ~ element_of_set(X2,X0)
      | ~ basis(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1650,f1644]) ).

fof(f1659,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)],[f160,f1646]) ).

fof(f1660,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | element_of_set(f7(X0,X1),X0)
      | basis(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f157,f1646]) ).

fof(f1661,plain,
    ! [X0,X1] :
      ( ~ sQ8_spl
      | element_of_set(X0,f1(top_of_basis(X1),X0)) ),
    inference(resolution,[status(thm)],[f1314,f113]) ).

fof(f1662,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | closed(X0,X1,X2) ),
    inference(backward_subsumption_resolution,[status(thm)],[f417,f1663]) ).

fof(f1663,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | open(X0,X1,X2) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1633,f1644]) ).

fof(f1664,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | element_of_set(f20(interior(X0,X1,X2),X3),f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)))
      | hausdorff(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1640,f180]) ).

fof(f1665,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)],[f1640,f1651]) ).

fof(f1666,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | element_of_set(f20(f12(X0,top_of_basis(X1),X2,f2(subspace_topology(X0,top_of_basis(X1),X2),X3)),X4),f10(X1,f12(X0,top_of_basis(X1),X2,f2(subspace_topology(X0,top_of_basis(X1),X2),X3)),f20(f12(X0,top_of_basis(X1),X2,f2(subspace_topology(X0,top_of_basis(X1),X2),X3)),X4)))
      | element_of_set(X3,intersection_of_members(subspace_topology(X0,top_of_basis(X1),X2)))
      | hausdorff(f12(X0,top_of_basis(X1),X2,f2(subspace_topology(X0,top_of_basis(X1),X2),X3)),X4) ),
    inference(resolution,[status(thm)],[f1640,f1580]) ).

fof(f1667,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | element_of_set(X1,intersection_of_members(top_of_basis(X0)))
      | element_of_set(f20(f2(top_of_basis(X0),X1),X2),f10(X0,f2(top_of_basis(X0),X1),f20(f2(top_of_basis(X0),X1),X2)))
      | hausdorff(f2(top_of_basis(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1640,f559]) ).

fof(f1668,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | element_of_set(f20(f2(X0,X1),X2),union_of_members(X0))
      | element_of_set(X1,intersection_of_members(X0))
      | hausdorff(f2(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1640,f289]) ).

fof(f1669,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | element_of_set(f20(union_of_members(X0),X1),f1(X0,f20(union_of_members(X0),X1)))
      | hausdorff(union_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f1640,f113]) ).

fof(f1670,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | element_of_set(f19(interior(X0,X1,X2),X3),f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)))
      | hausdorff(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1641,f180]) ).

fof(f1671,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)],[f1641,f1651]) ).

fof(f1672,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | element_of_set(f19(f12(X0,top_of_basis(X1),X2,f2(subspace_topology(X0,top_of_basis(X1),X2),X3)),X4),f10(X1,f12(X0,top_of_basis(X1),X2,f2(subspace_topology(X0,top_of_basis(X1),X2),X3)),f19(f12(X0,top_of_basis(X1),X2,f2(subspace_topology(X0,top_of_basis(X1),X2),X3)),X4)))
      | element_of_set(X3,intersection_of_members(subspace_topology(X0,top_of_basis(X1),X2)))
      | hausdorff(f12(X0,top_of_basis(X1),X2,f2(subspace_topology(X0,top_of_basis(X1),X2),X3)),X4) ),
    inference(resolution,[status(thm)],[f1641,f1580]) ).

fof(f1673,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | element_of_set(X1,intersection_of_members(top_of_basis(X0)))
      | element_of_set(f19(f2(top_of_basis(X0),X1),X2),f10(X0,f2(top_of_basis(X0),X1),f19(f2(top_of_basis(X0),X1),X2)))
      | hausdorff(f2(top_of_basis(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1641,f559]) ).

fof(f1674,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | element_of_set(f19(f2(X0,X1),X2),union_of_members(X0))
      | element_of_set(X1,intersection_of_members(X0))
      | hausdorff(f2(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1641,f289]) ).

fof(f1675,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | element_of_set(f19(union_of_members(X0),X1),f1(X0,f19(union_of_members(X0),X1)))
      | hausdorff(union_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f1641,f113]) ).

fof(f1676,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | element_of_set(f7(interior(X0,X1,X2),X3),f13(X0,X1,X2,f7(interior(X0,X1,X2),X3)))
      | basis(interior(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1660,f180]) ).

fof(f1679,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | element_of_set(X1,intersection_of_members(top_of_basis(X0)))
      | element_of_set(f7(f2(top_of_basis(X0),X1),X2),f10(X0,f2(top_of_basis(X0),X1),f7(f2(top_of_basis(X0),X1),X2)))
      | basis(f2(top_of_basis(X0),X1),X2) ),
    inference(resolution,[status(thm)],[f1660,f559]) ).

fof(f1680,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | element_of_set(f7(f2(X0,X1),X2),union_of_members(X0))
      | element_of_set(X1,intersection_of_members(X0))
      | basis(f2(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1660,f289]) ).

fof(f1681,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | element_of_set(f7(union_of_members(X0),X1),f1(X0,f7(union_of_members(X0),X1)))
      | basis(union_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f1660,f113]) ).

fof(f1682,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | subset_collections(f24(X0,X1),X1)
      | compact_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1639,f254]) ).

fof(f1683,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | finer(X1,f24(X0,X1),X2)
      | compact_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1682,f1647]) ).

fof(f1699,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)],[f1631,f1644]) ).

fof(f1700,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)],[f1632,f1653]) ).

fof(f1702,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_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)],[f1700,f1671]) ).

fof(f1703,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)
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f1700,f1641]) ).

fof(f1704,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_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)],[f1700,f1665]) ).

fof(f1705,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)
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f1700,f1640]) ).

fof(f1706,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | neighborhood(f16(X0,X1,X2,X3),X0,X2,X3)
      | limit_point(X0,X1,X2,X3) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1636,f1653]) ).

fof(f1707,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)],[f1706,f199]) ).

fof(f1716,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | equal_sets(union_of_sets(f21(X0,X1),f22(X0,X1)),X0)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1638,f236]) ).

fof(f1717,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ equal_sets(f22(X0,X1),empty_set)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1638,f230]) ).

fof(f1718,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ equal_sets(f21(X0,X1),empty_set)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1638,f228]) ).

fof(f1720,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | disjoint_s(f21(X0,X1),f22(X0,X1))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1638,f238]) ).

fof(f1721,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ disjoint_s(f21(X0,X1),f22(X0,X1))
      | ~ element_of_collection(f22(X0,X1),X2)
      | equal_sets(f22(X0,X1),empty_set)
      | equal_sets(f21(X0,X1),empty_set)
      | separation(f21(X0,X1),f22(X0,X1),X0,X2)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1716,f1699]) ).

fof(f1722,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(forward_subsumption_resolution,[status(thm)],[f1721,f1644]) ).

fof(f1723,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | element_of_set(f20(f2(X0,X1),X2),f1(X0,f20(f2(X0,X1),X2)))
      | element_of_set(X1,intersection_of_members(X0))
      | hausdorff(f2(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1668,f113]) ).

fof(f1724,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | element_of_set(f19(f2(X0,X1),X2),f1(X0,f19(f2(X0,X1),X2)))
      | element_of_set(X1,intersection_of_members(X0))
      | hausdorff(f2(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1674,f113]) ).

fof(f1727,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | basis(f12(X1,X2,X3,f2(subspace_topology(X1,X2,X3),X0)),X4)
      | element_of_set(f7(f12(X1,X2,X3,f2(subspace_topology(X1,X2,X3),X0)),X4),union_of_members(X2))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,X2,X3))) ),
    inference(resolution,[status(thm)],[f1582,f1660]) ).

fof(f1729,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | hausdorff(f12(X1,X2,X3,f2(subspace_topology(X1,X2,X3),X0)),X4)
      | element_of_set(f19(f12(X1,X2,X3,f2(subspace_topology(X1,X2,X3),X0)),X4),union_of_members(X2))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,X2,X3))) ),
    inference(resolution,[status(thm)],[f1582,f1641]) ).

fof(f1731,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | hausdorff(f12(X1,X2,X3,f2(subspace_topology(X1,X2,X3),X0)),X4)
      | element_of_set(f20(f12(X1,X2,X3,f2(subspace_topology(X1,X2,X3),X0)),X4),union_of_members(X2))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,X2,X3))) ),
    inference(resolution,[status(thm)],[f1582,f1640]) ).

fof(f1732,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | 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(forward_subsumption_resolution,[status(thm)],[f1722,f1720]) ).

fof(f1736,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ connected_space(X0,X2)
      | equal_sets(f22(X0,X1),empty_set)
      | equal_sets(f21(X0,X1),empty_set)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1732,f243]) ).

fof(f1738,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | basis(interior(X0,X1,X2),X3)
      | element_of_set(f7(interior(X0,X1,X2),X3),union_of_members(X4)) ),
    inference(resolution,[status(thm)],[f1656,f1676]) ).

fof(f1739,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | element_of_set(X1,intersection_of_members(top_of_basis(X0)))
      | basis(f2(top_of_basis(X0),X1),X2)
      | element_of_set(f7(f2(top_of_basis(X0),X1),X2),union_of_members(X3)) ),
    inference(resolution,[status(thm)],[f1656,f1679]) ).

fof(f1740,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | element_of_set(X1,intersection_of_members(X0))
      | basis(f2(X0,X1),X2)
      | element_of_set(f7(f2(X0,X1),X2),union_of_members(X3)) ),
    inference(resolution,[status(thm)],[f1656,f1680]) ).

fof(f1741,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | basis(union_of_members(X0),X1)
      | element_of_set(f7(union_of_members(X0),X1),union_of_members(X2)) ),
    inference(resolution,[status(thm)],[f1656,f1681]) ).

fof(f1743,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | basis(X0,X1)
      | element_of_set(f7(X0,X1),union_of_members(X2)) ),
    inference(resolution,[status(thm)],[f1656,f1659]) ).

fof(f1744,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | basis(X0,X1)
      | element_of_set(f7(X0,X1),union_of_members(X2)) ),
    inference(resolution,[status(thm)],[f1656,f1660]) ).

fof(f1745,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | hausdorff(interior(X0,X1,X2),X3)
      | element_of_set(f19(interior(X0,X1,X2),X3),union_of_members(X4)) ),
    inference(resolution,[status(thm)],[f1656,f1670]) ).

fof(f1746,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | element_of_set(X1,intersection_of_members(top_of_basis(X0)))
      | hausdorff(f2(top_of_basis(X0),X1),X2)
      | element_of_set(f19(f2(top_of_basis(X0),X1),X2),union_of_members(X3)) ),
    inference(resolution,[status(thm)],[f1656,f1673]) ).

fof(f1747,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | element_of_set(X1,intersection_of_members(X0))
      | hausdorff(f2(X0,X1),X2)
      | element_of_set(f19(f2(X0,X1),X2),union_of_members(X3)) ),
    inference(resolution,[status(thm)],[f1656,f1674]) ).

fof(f1748,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | hausdorff(union_of_members(X0),X1)
      | element_of_set(f19(union_of_members(X0),X1),union_of_members(X2)) ),
    inference(resolution,[status(thm)],[f1656,f1675]) ).

fof(f1750,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | hausdorff(X0,X1)
      | element_of_set(f19(X0,X1),union_of_members(X2)) ),
    inference(resolution,[status(thm)],[f1656,f1641]) ).

fof(f1751,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | hausdorff(interior(X0,X1,X2),X3)
      | element_of_set(f20(interior(X0,X1,X2),X3),union_of_members(X4)) ),
    inference(resolution,[status(thm)],[f1656,f1664]) ).

fof(f1752,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | element_of_set(X1,intersection_of_members(top_of_basis(X0)))
      | hausdorff(f2(top_of_basis(X0),X1),X2)
      | element_of_set(f20(f2(top_of_basis(X0),X1),X2),union_of_members(X3)) ),
    inference(resolution,[status(thm)],[f1656,f1667]) ).

fof(f1753,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | element_of_set(X1,intersection_of_members(X0))
      | hausdorff(f2(X0,X1),X2)
      | element_of_set(f20(f2(X0,X1),X2),union_of_members(X3)) ),
    inference(resolution,[status(thm)],[f1656,f1668]) ).

fof(f1754,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | hausdorff(union_of_members(X0),X1)
      | element_of_set(f20(union_of_members(X0),X1),union_of_members(X2)) ),
    inference(resolution,[status(thm)],[f1656,f1669]) ).

fof(f1756,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | hausdorff(X0,X1)
      | element_of_set(f20(X0,X1),union_of_members(X2)) ),
    inference(resolution,[status(thm)],[f1656,f1640]) ).

fof(f1757,plain,
    ! [X0] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | element_of_set(cu,union_of_members(X0)) ),
    inference(resolution,[status(thm)],[f1656,f275]) ).

fof(f1758,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)],[f1656,f1707]) ).

fof(f1759,plain,
    ! [X0,X1] :
      ( ~ sQ8_spl
      | ~ sQ7_spl
      | element_of_set(X0,union_of_members(X1)) ),
    inference(resolution,[status(thm)],[f1656,f1661]) ).

fof(f1761,plain,
    ! [X0] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | element_of_set(cu,f1(X0,cu)) ),
    inference(resolution,[status(thm)],[f1757,f113]) ).

fof(f1764,plain,
    ! [X0,X1] :
      ( ~ sQ8_spl
      | ~ sQ7_spl
      | element_of_set(X0,f1(X1,X0)) ),
    inference(backward_subsumption_resolution,[status(thm)],[f113,f1759]) ).

fof(f1765,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ disjoint_s(X0,X1)
      | ~ element_of_collection(X1,X5)
      | equal_sets(X1,empty_set)
      | equal_sets(X0,empty_set)
      | separation(X0,X1,intersection_of_sets(X2,f12(X3,X4,X2,union_of_sets(X0,X1))),X5) ),
    inference(resolution,[status(thm)],[f1652,f1699]) ).

fof(f1766,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(forward_subsumption_resolution,[status(thm)],[f1765,f1644]) ).

fof(f1767,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ subset_sets(X2,intersection_of_sets(f8(X0,X1),f9(X0,X1)))
      | ~ element_of_set(f7(X0,X1),X2)
      | basis(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1648,f1646]) ).

fof(f1768,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ element_of_set(f7(X0,X1),X2)
      | basis(X0,X1) ),
    inference(resolution,[status(thm)],[f1767,f1653]) ).

fof(f1772,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | basis(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f1659,f1768]) ).

fof(f1777,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)],[f184,f1311]) ).

fof(f1778,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(resolution,[status(thm)],[f1777,f1663]) ).

fof(f1779,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ subset_sets(X4,X1)
      | ~ element_of_set(X0,X4)
      | element_of_set(X0,interior(X1,X2,X3)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1778,f1653]) ).

fof(f1780,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)],[f190,f1653]) ).

fof(f1782,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_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)],[f1780,f1641]) ).

fof(f1784,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_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)],[f1780,f1640]) ).

fof(f1785,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | hausdorff(closure(X0,X1,X2),X3)
      | element_of_set(f19(closure(X0,X1,X2),X3),X4) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1782,f1662]) ).

fof(f1786,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | hausdorff(closure(X0,X1,X2),X3)
      | element_of_set(f20(closure(X0,X1,X2),X3),X4) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1784,f1662]) ).

fof(f1787,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)],[f193,f1311]) ).

fof(f1790,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)],[f1766,f1720]) ).

fof(f1793,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_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)],[f1785,f1700]) ).

fof(f1801,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_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)],[f1786,f1700]) ).

fof(f1810,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)
      | equal_sets(f22(X0,X1),empty_set)
      | equal_sets(f21(X0,X1),empty_set) ),
    inference(resolution,[status(thm)],[f1790,f243]) ).

fof(f1812,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | element_of_set(X3,intersection_of_members(subspace_topology(X0,top_of_basis(X1),X2)))
      | hausdorff(f12(X0,top_of_basis(X1),X2,f2(subspace_topology(X0,top_of_basis(X1),X2),X3)),X4)
      | element_of_set(f19(f12(X0,top_of_basis(X1),X2,f2(subspace_topology(X0,top_of_basis(X1),X2),X3)),X4),f10(X5,f10(X1,f12(X0,top_of_basis(X1),X2,f2(subspace_topology(X0,top_of_basis(X1),X2),X3)),f19(f12(X0,top_of_basis(X1),X2,f2(subspace_topology(X0,top_of_basis(X1),X2),X3)),X4)),f19(f12(X0,top_of_basis(X1),X2,f2(subspace_topology(X0,top_of_basis(X1),X2),X3)),X4))) ),
    inference(resolution,[status(thm)],[f1655,f1672]) ).

fof(f1814,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)],[f1655,f1670]) ).

fof(f1815,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | element_of_set(X1,intersection_of_members(top_of_basis(X0)))
      | hausdorff(f2(top_of_basis(X0),X1),X2)
      | element_of_set(f19(f2(top_of_basis(X0),X1),X2),f10(X3,f10(X0,f2(top_of_basis(X0),X1),f19(f2(top_of_basis(X0),X1),X2)),f19(f2(top_of_basis(X0),X1),X2))) ),
    inference(resolution,[status(thm)],[f1655,f1673]) ).

fof(f1817,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)],[f1655,f1641]) ).

fof(f1818,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | element_of_set(X3,intersection_of_members(subspace_topology(X0,top_of_basis(X1),X2)))
      | hausdorff(f12(X0,top_of_basis(X1),X2,f2(subspace_topology(X0,top_of_basis(X1),X2),X3)),X4)
      | element_of_set(f20(f12(X0,top_of_basis(X1),X2,f2(subspace_topology(X0,top_of_basis(X1),X2),X3)),X4),f10(X5,f10(X1,f12(X0,top_of_basis(X1),X2,f2(subspace_topology(X0,top_of_basis(X1),X2),X3)),f20(f12(X0,top_of_basis(X1),X2,f2(subspace_topology(X0,top_of_basis(X1),X2),X3)),X4)),f20(f12(X0,top_of_basis(X1),X2,f2(subspace_topology(X0,top_of_basis(X1),X2),X3)),X4))) ),
    inference(resolution,[status(thm)],[f1655,f1666]) ).

fof(f1820,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)],[f1655,f1664]) ).

fof(f1821,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | element_of_set(X1,intersection_of_members(top_of_basis(X0)))
      | hausdorff(f2(top_of_basis(X0),X1),X2)
      | element_of_set(f20(f2(top_of_basis(X0),X1),X2),f10(X3,f10(X0,f2(top_of_basis(X0),X1),f20(f2(top_of_basis(X0),X1),X2)),f20(f2(top_of_basis(X0),X1),X2))) ),
    inference(resolution,[status(thm)],[f1655,f1667]) ).

fof(f1823,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)],[f1655,f1640]) ).

fof(f1824,plain,
    ! [X0] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | element_of_set(cu,f10(X0,top_of_basis(f),cu)) ),
    inference(resolution,[status(thm)],[f1655,f275]) ).

fof(f1825,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | limit_point(X0,X2,X3,X4)
      | element_of_set(X0,f10(X1,f16(X0,X2,X3,X4),X0)) ),
    inference(resolution,[status(thm)],[f1655,f1707]) ).

fof(f1826,plain,
    ! [X0,X1,X2] :
      ( ~ sQ8_spl
      | ~ sQ7_spl
      | element_of_set(X0,f10(X1,f1(X2,X0),X0)) ),
    inference(resolution,[status(thm)],[f1655,f1764]) ).

fof(f1827,plain,
    ! [X0,X1,X2] :
      ( ~ sQ8_spl
      | ~ sQ7_spl
      | element_of_set(X0,f10(X1,union_of_members(X2),X0)) ),
    inference(resolution,[status(thm)],[f1655,f1759]) ).

fof(f1828,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ8_spl
      | element_of_set(X0,f10(X1,f10(X2,union_of_members(X3),X0),X0)) ),
    inference(resolution,[status(thm)],[f1827,f1655]) ).

fof(f1829,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ8_spl
      | element_of_set(X0,f10(X1,f10(X2,f1(X3,X0),X0),X0)) ),
    inference(resolution,[status(thm)],[f1826,f1655]) ).

fof(f1830,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | connected_space(X0,X1)
      | 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(backward_subsumption_resolution,[status(thm)],[f1790,f1717]) ).

fof(f1831,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ connected_space(X0,X2)
      | equal_sets(f21(X0,X1),empty_set)
      | connected_space(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f1736,f1717]) ).

fof(f1832,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | equal_sets(f21(X0,X1),empty_set)
      | separation(f21(X0,X1),f22(X0,X1),X0,X2)
      | connected_space(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f1732,f1717]) ).

fof(f1833,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)],[f1658,f1772]) ).

fof(f1834,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | element_of_set(X3,intersection_of_members(subspace_topology(X0,top_of_basis(X1),X2)))
      | hausdorff(f12(X0,top_of_basis(X1),X2,f2(subspace_topology(X0,top_of_basis(X1),X2),X3)),X4)
      | element_of_set(f19(f12(X0,top_of_basis(X1),X2,f2(subspace_topology(X0,top_of_basis(X1),X2),X3)),X4),f6(f10(X1,f12(X0,top_of_basis(X1),X2,f2(subspace_topology(X0,top_of_basis(X1),X2),X3)),f19(f12(X0,top_of_basis(X1),X2,f2(subspace_topology(X0,top_of_basis(X1),X2),X3)),X4)),X7,f19(f12(X0,top_of_basis(X1),X2,f2(subspace_topology(X0,top_of_basis(X1),X2),X3)),X4),X5,X6))
      | ~ element_of_set(f19(f12(X0,top_of_basis(X1),X2,f2(subspace_topology(X0,top_of_basis(X1),X2),X3)),X4),intersection_of_sets(X5,X6)) ),
    inference(resolution,[status(thm)],[f1833,f1672]) ).

fof(f1836,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),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)],[f1833,f1670]) ).

fof(f1837,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | element_of_set(X1,intersection_of_members(top_of_basis(X0)))
      | hausdorff(f2(top_of_basis(X0),X1),X2)
      | element_of_set(f19(f2(top_of_basis(X0),X1),X2),f6(f10(X0,f2(top_of_basis(X0),X1),f19(f2(top_of_basis(X0),X1),X2)),X5,f19(f2(top_of_basis(X0),X1),X2),X3,X4))
      | ~ element_of_set(f19(f2(top_of_basis(X0),X1),X2),intersection_of_sets(X3,X4)) ),
    inference(resolution,[status(thm)],[f1833,f1673]) ).

fof(f1839,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_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)],[f1833,f1641]) ).

fof(f1840,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | element_of_set(X3,intersection_of_members(subspace_topology(X0,top_of_basis(X1),X2)))
      | hausdorff(f12(X0,top_of_basis(X1),X2,f2(subspace_topology(X0,top_of_basis(X1),X2),X3)),X4)
      | element_of_set(f20(f12(X0,top_of_basis(X1),X2,f2(subspace_topology(X0,top_of_basis(X1),X2),X3)),X4),f6(f10(X1,f12(X0,top_of_basis(X1),X2,f2(subspace_topology(X0,top_of_basis(X1),X2),X3)),f20(f12(X0,top_of_basis(X1),X2,f2(subspace_topology(X0,top_of_basis(X1),X2),X3)),X4)),X7,f20(f12(X0,top_of_basis(X1),X2,f2(subspace_topology(X0,top_of_basis(X1),X2),X3)),X4),X5,X6))
      | ~ element_of_set(f20(f12(X0,top_of_basis(X1),X2,f2(subspace_topology(X0,top_of_basis(X1),X2),X3)),X4),intersection_of_sets(X5,X6)) ),
    inference(resolution,[status(thm)],[f1833,f1666]) ).

fof(f1842,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_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)],[f1833,f1664]) ).

fof(f1843,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | element_of_set(X1,intersection_of_members(top_of_basis(X0)))
      | hausdorff(f2(top_of_basis(X0),X1),X2)
      | element_of_set(f20(f2(top_of_basis(X0),X1),X2),f6(f10(X0,f2(top_of_basis(X0),X1),f20(f2(top_of_basis(X0),X1),X2)),X5,f20(f2(top_of_basis(X0),X1),X2),X3,X4))
      | ~ element_of_set(f20(f2(top_of_basis(X0),X1),X2),intersection_of_sets(X3,X4)) ),
    inference(resolution,[status(thm)],[f1833,f1667]) ).

fof(f1845,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_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)],[f1833,f1640]) ).

fof(f1846,plain,
    ! [X0,X1,X2] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | element_of_set(cu,f6(top_of_basis(f),X2,cu,X0,X1))
      | ~ element_of_set(cu,intersection_of_sets(X0,X1)) ),
    inference(resolution,[status(thm)],[f1833,f275]) ).

fof(f1847,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ8_spl
      | ~ sQ7_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)],[f1833,f1826]) ).

fof(f1848,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ8_spl
      | ~ sQ7_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)],[f1833,f1827]) ).

fof(f1849,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(resolution,[status(thm)],[f1833,f1707]) ).

fof(f1850,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ8_spl
      | ~ sQ7_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)],[f1833,f1764]) ).

fof(f1851,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ8_spl
      | ~ sQ7_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)],[f1833,f1759]) ).

fof(f1852,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | element_of_set(cu,f6(f10(X2,top_of_basis(f),cu),X3,cu,X0,X1))
      | ~ element_of_set(cu,intersection_of_sets(X0,X1)) ),
    inference(resolution,[status(thm)],[f1824,f1833]) ).

fof(f1853,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | element_of_set(cu,f10(X0,f10(X1,top_of_basis(f),cu),cu)) ),
    inference(resolution,[status(thm)],[f1824,f1655]) ).

fof(f1854,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ8_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)],[f1828,f1833]) ).

fof(f1855,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ8_spl
      | element_of_set(X0,f10(X1,f10(X2,f10(X3,union_of_members(X4),X0),X0),X0)) ),
    inference(resolution,[status(thm)],[f1828,f1655]) ).

fof(f1856,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ8_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)],[f1829,f1833]) ).

fof(f1857,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ8_spl
      | element_of_set(X0,f10(X1,f10(X2,f10(X3,f1(X4,X0),X0),X0),X0)) ),
    inference(resolution,[status(thm)],[f1829,f1655]) ).

fof(f1860,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)],[f213,f1641]) ).

fof(f1863,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)],[f213,f1640]) ).

fof(f1865,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)],[f201,f1311]) ).

fof(f1866,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ element_of_set(X1,X0)
      | neighborhood(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f1865,f1663]) ).

fof(f1867,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | eq_p(f20(closure(X5,X6,X7),X8),X1)
      | hausdorff(closure(X5,X6,X7),X8)
      | element_of_set(f15(X1,X4,X2,X3,X0),intersection_of_sets(X0,X4))
      | ~ neighborhood(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f206,f1801]) ).

fof(f1868,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | eq_p(f19(closure(X5,X6,X7),X8),X1)
      | hausdorff(closure(X5,X6,X7),X8)
      | element_of_set(f15(X1,X4,X2,X3,X0),intersection_of_sets(X0,X4))
      | ~ neighborhood(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f206,f1793]) ).

fof(f1869,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_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)],[f206,f1704]) ).

fof(f1870,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_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)],[f206,f1702]) ).

fof(f1871,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ connected_space(X0,X2)
      | connected_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1831,f1718]) ).

fof(f1872,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_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)],[f1817,f1833]) ).

fof(f1873,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)],[f1817,f1655]) ).

fof(f1874,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_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)],[f1823,f1833]) ).

fof(f1875,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)],[f1823,f1655]) ).

fof(f1876,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_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)],[f1825,f1833]) ).

fof(f1877,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)],[f1825,f1655]) ).

fof(f1878,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | element_of_set(f19(boundary(X0,X1,X2),X3),X4)
      | ~ closed(X4,X1,X2)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1860,f1780]) ).

fof(f1881,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | element_of_set(f19(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1878,f1662]) ).

fof(f1885,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_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)],[f1881,f1700]) ).

fof(f1891,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | element_of_set(f20(boundary(X0,X1,X2),X3),X4)
      | ~ closed(X4,X1,X2)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f1863,f1780]) ).

fof(f1894,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | element_of_set(f20(boundary(X0,X1,X2),X3),X4)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1891,f1662]) ).

fof(f1898,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_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)],[f1894,f1700]) ).

fof(f1907,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_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)],[f1839,f1641]) ).

fof(f1911,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_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)],[f1907]) ).

fof(f1915,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_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)],[f1845,f1640]) ).

fof(f1919,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_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)],[f1915]) ).

fof(f1920,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_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)],[f1814,f1833]) ).

fof(f1921,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)],[f1814,f1655]) ).

fof(f1922,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_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)],[f1820,f1833]) ).

fof(f1923,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)],[f1820,f1655]) ).

fof(f1924,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_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)],[f1877,f1833]) ).

fof(f1925,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)],[f1877,f1655]) ).

fof(f1926,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | separation(f21(X0,X1),f22(X0,X1),X0,X2)
      | connected_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1832,f1718]) ).

fof(f1932,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_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)],[f1873,f1833]) ).

fof(f1933,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)],[f1873,f1655]) ).

fof(f1934,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_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)],[f1875,f1833]) ).

fof(f1935,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)],[f1875,f1655]) ).

fof(f1936,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_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)],[f1885,f206]) ).

fof(f1937,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_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)],[f1898,f206]) ).

fof(f1938,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_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)],[f1925,f1833]) ).

fof(f1939,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_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)],[f1925,f1655]) ).

fof(f1943,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_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)],[f1849,f1641]) ).

fof(f1947,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_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)],[f1849,f1640]) ).

fof(f1948,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(resolution,[status(thm)],[f1939,f1833]) ).

fof(f1949,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)],[f1939,f1655]) ).

fof(f1953,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_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)],[f1876,f1641]) ).

fof(f1957,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_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)],[f1876,f1640]) ).

fof(f1958,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_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)],[f1911,f1833]) ).

fof(f1959,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_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)],[f1911,f1655]) ).

fof(f1960,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_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)],[f1919,f1833]) ).

fof(f1961,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_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)],[f1919,f1655]) ).

fof(f1962,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_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)],[f1933,f1833]) ).

fof(f1963,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)],[f1933,f1655]) ).

fof(f1964,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_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)],[f1935,f1833]) ).

fof(f1965,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)],[f1935,f1655]) ).

fof(f1968,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)],[f1830,f1718]) ).

fof(f1977,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_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)],[f1872,f1641]) ).

fof(f1981,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_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)],[f1977]) ).

fof(f1985,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_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)],[f1874,f1640]) ).

fof(f1989,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_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)],[f1985]) ).

fof(f1990,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(resolution,[status(thm)],[f1949,f1833]) ).

fof(f1991,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)],[f1949,f1655]) ).

fof(f1995,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_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)],[f1924,f1641]) ).

fof(f1999,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_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)],[f1924,f1640]) ).

fof(f2004,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_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)],[f1963,f1833]) ).

fof(f2005,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)],[f1963,f1655]) ).

fof(f2006,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_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)],[f1965,f1833]) ).

fof(f2007,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)],[f1965,f1655]) ).

fof(f2008,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ sQ7_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)],[f1991,f1833]) ).

fof(f2009,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_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)],[f1991,f1655]) ).

fof(f2010,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | element_of_set(cu,f6(f10(X2,f10(X3,top_of_basis(f),cu),cu),X4,cu,X0,X1))
      | ~ element_of_set(cu,intersection_of_sets(X0,X1)) ),
    inference(resolution,[status(thm)],[f1853,f1833]) ).

fof(f2011,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | element_of_set(cu,f10(X0,f10(X1,f10(X2,top_of_basis(f),cu),cu),cu)) ),
    inference(resolution,[status(thm)],[f1853,f1655]) ).

fof(f2012,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_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)],[f1866,f1911]) ).

fof(f2013,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | hausdorff(boundary(X1,X2,X3),X4)
      | neighborhood(X0,f19(boundary(X1,X2,X3),X4),X5,X6) ),
    inference(resolution,[status(thm)],[f1866,f1881]) ).

fof(f2014,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | hausdorff(closure(X1,X2,X3),X4)
      | neighborhood(X0,f19(closure(X1,X2,X3),X4),X5,X6) ),
    inference(resolution,[status(thm)],[f1866,f1785]) ).

fof(f2015,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)],[f1866,f1814]) ).

fof(f2016,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)],[f1866,f1670]) ).

fof(f2017,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)],[f1866,f1671]) ).

fof(f2018,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)],[f1866,f1963]) ).

fof(f2019,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)],[f1866,f1933]) ).

fof(f2020,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)],[f1866,f1873]) ).

fof(f2021,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)],[f1866,f1817]) ).

fof(f2022,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | hausdorff(X0,X1)
      | neighborhood(X0,f19(X0,X1),X2,X3) ),
    inference(resolution,[status(thm)],[f1866,f1641]) ).

fof(f2023,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_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)],[f1866,f1919]) ).

fof(f2024,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | hausdorff(boundary(X1,X2,X3),X4)
      | neighborhood(X0,f20(boundary(X1,X2,X3),X4),X5,X6) ),
    inference(resolution,[status(thm)],[f1866,f1894]) ).

fof(f2025,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | hausdorff(closure(X1,X2,X3),X4)
      | neighborhood(X0,f20(closure(X1,X2,X3),X4),X5,X6) ),
    inference(resolution,[status(thm)],[f1866,f1786]) ).

fof(f2026,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)],[f1866,f1820]) ).

fof(f2027,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)],[f1866,f1664]) ).

fof(f2028,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)],[f1866,f1665]) ).

fof(f2029,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)],[f1866,f1965]) ).

fof(f2030,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)],[f1866,f1935]) ).

fof(f2031,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)],[f1866,f1875]) ).

fof(f2032,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)],[f1866,f1823]) ).

fof(f2033,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | hausdorff(X0,X1)
      | neighborhood(X0,f20(X0,X1),X2,X3) ),
    inference(resolution,[status(thm)],[f1866,f1640]) ).

fof(f2034,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | neighborhood(f10(X0,f10(X1,top_of_basis(f),cu),cu),cu,X2,X3) ),
    inference(resolution,[status(thm)],[f1866,f1853]) ).

fof(f2035,plain,
    ! [X0,X1,X2] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | neighborhood(f10(X0,top_of_basis(f),cu),cu,X1,X2) ),
    inference(resolution,[status(thm)],[f1866,f1824]) ).

fof(f2036,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ sQ7_spl
      | neighborhood(top_of_basis(f),cu,X0,X1) ),
    inference(resolution,[status(thm)],[f1866,f275]) ).

fof(f2037,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)],[f1866,f1825]) ).

fof(f2038,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ7_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)],[f1866,f1991]) ).

fof(f2039,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ sQ7_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)],[f1866,f1949]) ).

fof(f2040,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ7_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)],[f1866,f1939]) ).

fof(f2041,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)],[f1866,f1925]) ).

fof(f2042,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)],[f1866,f1877]) ).

fof(f2043,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ8_spl
      | neighborhood(f10(X0,f10(X1,f1(X2,X3),X3),X3),X3,X4,X5) ),
    inference(resolution,[status(thm)],[f1866,f1829]) ).

fof(f2044,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ8_spl
      | neighborhood(f10(X0,f10(X1,union_of_members(X2),X3),X3),X3,X4,X5) ),
    inference(resolution,[status(thm)],[f1866,f1828]) ).

fof(f2045,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ8_spl
      | ~ sQ7_spl
      | neighborhood(f10(X0,f1(X1,X2),X2),X2,X3,X4) ),
    inference(resolution,[status(thm)],[f1866,f1826]) ).

fof(f2046,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ8_spl
      | ~ sQ7_spl
      | neighborhood(f10(X0,union_of_members(X1),X2),X2,X3,X4) ),
    inference(resolution,[status(thm)],[f1866,f1827]) ).

fof(f2047,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)],[f1866,f1707]) ).

fof(f2048,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ8_spl
      | ~ sQ7_spl
      | neighborhood(f1(X0,X1),X1,X2,X3) ),
    inference(resolution,[status(thm)],[f1866,f1764]) ).

fof(f2049,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ8_spl
      | ~ sQ7_spl
      | neighborhood(union_of_members(X0),X1,X2,X3) ),
    inference(resolution,[status(thm)],[f1866,f1759]) ).

fof(f2050,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ8_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)],[f2049,f1937]) ).

fof(f2051,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ8_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)],[f2049,f1936]) ).

fof(f2052,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ8_spl
      | eq_p(f19(closure(X5,X6,X7),X8),X0)
      | hausdorff(closure(X5,X6,X7),X8)
      | element_of_set(f15(X0,X1,X2,X3,union_of_members(X4)),intersection_of_sets(union_of_members(X4),X1)) ),
    inference(resolution,[status(thm)],[f2049,f1868]) ).

fof(f2053,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ8_spl
      | eq_p(f20(closure(X5,X6,X7),X8),X0)
      | hausdorff(closure(X5,X6,X7),X8)
      | element_of_set(f15(X0,X1,X2,X3,union_of_members(X4)),intersection_of_sets(union_of_members(X4),X1)) ),
    inference(resolution,[status(thm)],[f2049,f1867]) ).

fof(f2054,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ8_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)],[f2049,f1870]) ).

fof(f2055,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ8_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)],[f2049,f1869]) ).

fof(f2057,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ8_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)],[f2048,f1937]) ).

fof(f2058,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ8_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)],[f2048,f1936]) ).

fof(f2059,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ8_spl
      | eq_p(f19(closure(X5,X6,X7),X8),X0)
      | hausdorff(closure(X5,X6,X7),X8)
      | element_of_set(f15(X0,X1,X2,X3,f1(X4,X0)),intersection_of_sets(f1(X4,X0),X1)) ),
    inference(resolution,[status(thm)],[f2048,f1868]) ).

fof(f2060,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ7_spl
      | ~ sQ8_spl
      | eq_p(f20(closure(X5,X6,X7),X8),X0)
      | hausdorff(closure(X5,X6,X7),X8)
      | element_of_set(f15(X0,X1,X2,X3,f1(X4,X0)),intersection_of_sets(f1(X4,X0),X1)) ),
    inference(resolution,[status(thm)],[f2048,f1867]) ).

fof(f2061,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ8_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)],[f2048,f1870]) ).

fof(f2062,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ8_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)],[f2048,f1869]) ).

fof(f2064,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | element_of_set(f15(cu,X4,X5,X6,top_of_basis(f)),intersection_of_sets(top_of_basis(f),X4))
      | eq_p(f20(boundary(X0,X1,X2),X3),cu)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2036,f1937]) ).

fof(f2065,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | element_of_set(f15(cu,X4,X5,X6,top_of_basis(f)),intersection_of_sets(top_of_basis(f),X4))
      | eq_p(f19(boundary(X0,X1,X2),X3),cu)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(resolution,[status(thm)],[f2036,f1936]) ).

fof(f2066,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | eq_p(f19(closure(X3,X4,X5),X6),cu)
      | hausdorff(closure(X3,X4,X5),X6)
      | element_of_set(f15(cu,X0,X1,X2,top_of_basis(f)),intersection_of_sets(top_of_basis(f),X0)) ),
    inference(resolution,[status(thm)],[f2036,f1868]) ).

fof(f2067,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | eq_p(f20(closure(X3,X4,X5),X6),cu)
      | hausdorff(closure(X3,X4,X5),X6)
      | element_of_set(f15(cu,X0,X1,X2,top_of_basis(f)),intersection_of_sets(top_of_basis(f),X0)) ),
    inference(resolution,[status(thm)],[f2036,f1867]) ).

fof(f2068,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(intersection_of_members(X3),X4)
      | eq_p(f19(intersection_of_members(X3),X4),cu)
      | element_of_set(f15(cu,X0,X1,X2,top_of_basis(f)),intersection_of_sets(top_of_basis(f),X0)) ),
    inference(resolution,[status(thm)],[f2036,f1870]) ).

fof(f2069,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ0_spl
      | hausdorff(intersection_of_members(X3),X4)
      | eq_p(f20(intersection_of_members(X3),X4),cu)
      | element_of_set(f15(cu,X0,X1,X2,top_of_basis(f)),intersection_of_sets(top_of_basis(f),X0)) ),
    inference(resolution,[status(thm)],[f2036,f1869]) ).

fof(f2071,definition,
    ! [X0,X1,X2,X3] :
      ( sQ40_spl
    <=> ( eq_p(f20(boundary(X0,X1,X2),X3),cu)
        | hausdorff(boundary(X0,X1,X2),X3) ) ),
    introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).

fof(f2072,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ40_spl
      | eq_p(f20(boundary(X0,X1,X2),X3),cu)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(component_clause,[status(thm)],[f2071]) ).

fof(f2074,definition,
    ! [X4,X5,X6] :
      ( sQ41_spl
    <=> element_of_set(f15(cu,X4,X5,X6,top_of_basis(f)),intersection_of_sets(top_of_basis(f),X4)) ),
    introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).

fof(f2075,plain,
    ! [X0,X1,X2] :
      ( ~ sQ41_spl
      | element_of_set(f15(cu,X0,X1,X2,top_of_basis(f)),intersection_of_sets(top_of_basis(f),X0)) ),
    inference(component_clause,[status(thm)],[f2074]) ).

fof(f2077,plain,
    ( ~ sQ7_spl
    | ~ sQ0_spl
    | sQ41_spl
    | sQ40_spl ),
    inference(split_clause,[status(thm)],[f2064,f2071,f2074,f274,f1310]) ).

fof(f2078,definition,
    ! [X0,X1,X2,X3] :
      ( sQ42_spl
    <=> ( eq_p(f19(boundary(X0,X1,X2),X3),cu)
        | hausdorff(boundary(X0,X1,X2),X3) ) ),
    introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).

fof(f2079,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ42_spl
      | eq_p(f19(boundary(X0,X1,X2),X3),cu)
      | hausdorff(boundary(X0,X1,X2),X3) ),
    inference(component_clause,[status(thm)],[f2078]) ).

fof(f2081,plain,
    ( ~ sQ7_spl
    | ~ sQ0_spl
    | sQ41_spl
    | sQ42_spl ),
    inference(split_clause,[status(thm)],[f2065,f2078,f2074,f274,f1310]) ).

fof(f2082,definition,
    ! [X3,X4,X5,X6] :
      ( sQ43_spl
    <=> ( eq_p(f19(closure(X3,X4,X5),X6),cu)
        | hausdorff(closure(X3,X4,X5),X6) ) ),
    introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).

fof(f2083,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ43_spl
      | eq_p(f19(closure(X0,X1,X2),X3),cu)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(component_clause,[status(thm)],[f2082]) ).

fof(f2085,plain,
    ( ~ sQ7_spl
    | ~ sQ0_spl
    | sQ43_spl
    | sQ41_spl ),
    inference(split_clause,[status(thm)],[f2066,f2074,f2082,f274,f1310]) ).

fof(f2086,definition,
    ! [X3,X4,X5,X6] :
      ( sQ44_spl
    <=> ( eq_p(f20(closure(X3,X4,X5),X6),cu)
        | hausdorff(closure(X3,X4,X5),X6) ) ),
    introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).

fof(f2087,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ44_spl
      | eq_p(f20(closure(X0,X1,X2),X3),cu)
      | hausdorff(closure(X0,X1,X2),X3) ),
    inference(component_clause,[status(thm)],[f2086]) ).

fof(f2089,plain,
    ( ~ sQ7_spl
    | ~ sQ0_spl
    | sQ44_spl
    | sQ41_spl ),
    inference(split_clause,[status(thm)],[f2067,f2074,f2086,f274,f1310]) ).

fof(f2090,definition,
    ! [X3,X4] :
      ( sQ45_spl
    <=> ( hausdorff(intersection_of_members(X3),X4)
        | eq_p(f19(intersection_of_members(X3),X4),cu) ) ),
    introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).

fof(f2091,plain,
    ! [X0,X1] :
      ( ~ sQ45_spl
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f19(intersection_of_members(X0),X1),cu) ),
    inference(component_clause,[status(thm)],[f2090]) ).

fof(f2093,plain,
    ( ~ sQ7_spl
    | ~ sQ0_spl
    | sQ45_spl
    | sQ41_spl ),
    inference(split_clause,[status(thm)],[f2068,f2074,f2090,f274,f1310]) ).

fof(f2094,definition,
    ! [X3,X4] :
      ( sQ46_spl
    <=> ( hausdorff(intersection_of_members(X3),X4)
        | eq_p(f20(intersection_of_members(X3),X4),cu) ) ),
    introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).

fof(f2095,plain,
    ! [X0,X1] :
      ( ~ sQ46_spl
      | hausdorff(intersection_of_members(X0),X1)
      | eq_p(f20(intersection_of_members(X0),X1),cu) ),
    inference(component_clause,[status(thm)],[f2094]) ).

fof(f2097,plain,
    ( ~ sQ7_spl
    | ~ sQ0_spl
    | sQ46_spl
    | sQ41_spl ),
    inference(split_clause,[status(thm)],[f2069,f2074,f2094,f274,f1310]) ).

fof(f2098,plain,
    ( sQ10_spl
    | sQ37_spl ),
    inference(split_clause,[status(thm)],[f1334,f1491,f1373]) ).

fof(f2099,plain,
    ( sQ10_spl
    | sQ7_spl ),
    inference(split_clause,[status(thm)],[f1328,f1310,f1373]) ).

fof(f2100,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ element_of_set(X2,union_of_members(top_of_basis(subspace_topology(X0,X1,X4))))
      | element_of_set(X2,union_of_members(top_of_basis(X3)))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f799,f116]) ).

fof(f2102,plain,
    ! [X0,X1,X2,X3] :
      ( ~ element_of_set(X3,f1(X0,f11(X1,intersection_of_members(X0))))
      | element_of_set(X3,union_of_members(X0))
      | element_of_set(X2,intersection_of_members(X0))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f1567,f116]) ).

fof(f2104,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X3))
      | element_of_set(X2,f1(X0,f11(X3,union_of_members(top_of_basis(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)],[f1561,f720]) ).

fof(f2105,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( topological_space(X3,X4)
      | element_of_set(X2,union_of_members(top_of_basis(subspace_topology(X3,X4,X5))))
      | element_of_set(f11(X1,intersection_of_members(top_of_basis(X0))),union_of_members(top_of_basis(X0)))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f1561,f799]) ).

fof(f2106,definition,
    ! [X2,X3,X4,X5] :
      ( sQ47_spl
    <=> ( topological_space(X3,X4)
        | element_of_set(X2,union_of_members(top_of_basis(subspace_topology(X3,X4,X5)))) ) ),
    introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).

fof(f2107,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ47_spl
      | topological_space(X1,X2)
      | element_of_set(X0,union_of_members(top_of_basis(subspace_topology(X1,X2,X3)))) ),
    inference(component_clause,[status(thm)],[f2106]) ).

fof(f2109,plain,
    ( sQ47_spl
    | sQ6_spl ),
    inference(split_clause,[status(thm)],[f2105,f410,f2106]) ).

fof(f2111,plain,
    ! [X0,X1,X2,X3] :
      ( ~ element_of_set(X2,union_of_members(X0))
      | element_of_set(X2,union_of_members(top_of_basis(X3)))
      | element_of_set(f11(X1,intersection_of_members(X0)),union_of_members(X0))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f392,f116]) ).

fof(f2113,plain,
    ! [X0,X1,X2] :
      ( ~ sQ37_spl
      | ~ element_of_collection(union_of_members(X0),X1)
      | element_of_set(X2,intersection_of_members(X0))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1569,f1492]) ).

fof(f2114,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ37_spl
      | topological_space(X0,X1)
      | element_of_set(X4,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2))))
      | element_of_collection(intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2))),top_of_basis(top_of_basis(X3))) ),
    inference(resolution,[status(thm)],[f2113,f799]) ).

fof(f2116,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ6_spl
      | element_of_set(X3,f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(X0)))))
      | element_of_set(f11(X2,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(X2))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f1556,f1561]) ).

fof(f2117,plain,
    ! [X0,X1,X2] :
      ( ~ sQ6_spl
      | ~ element_of_set(X2,f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(X0)))))
      | element_of_set(X2,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)],[f1556,f116]) ).

fof(f2120,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X3))
      | element_of_set(X2,f1(X0,f11(X3,union_of_members(top_of_basis(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)],[f365,f720]) ).

fof(f2121,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( topological_space(X3,X4)
      | element_of_set(X2,union_of_members(top_of_basis(subspace_topology(X3,X4,X5))))
      | element_of_collection(f1(top_of_basis(X0),f11(X1,intersection_of_members(top_of_basis(X0)))),top_of_basis(X0))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f365,f799]) ).

fof(f2123,plain,
    ( sQ47_spl
    | sQ5_spl ),
    inference(split_clause,[status(thm)],[f2121,f406,f2106]) ).

fof(f2126,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(X4,union_of_members(X0))
      | element_of_collection(f1(top_of_basis(X2),f11(X3,intersection_of_members(top_of_basis(X2)))),top_of_basis(X2))
      | element_of_collection(intersection_of_members(top_of_basis(X2)),top_of_basis(X3))
      | 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)],[f401,f365]) ).

fof(f2127,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(X4,union_of_members(X0))
      | element_of_set(f11(X3,intersection_of_members(top_of_basis(X2))),union_of_members(top_of_basis(X2)))
      | element_of_collection(intersection_of_members(top_of_basis(X2)),top_of_basis(X3))
      | element_of_collection(f1(X0,f11(X1,intersection_of_members(X0))),X0)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f401,f1561]) ).

fof(f2128,plain,
    ! [X0,X1,X2,X3] :
      ( ~ element_of_set(X2,union_of_members(X0))
      | element_of_set(X2,union_of_members(top_of_basis(X3)))
      | element_of_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)],[f401,f116]) ).

fof(f2131,plain,
    ! [X0,X1,X2,X3] :
      ( ~ element_of_set(X3,f1(X0,f11(X1,intersection_of_members(X0))))
      | element_of_set(X3,union_of_members(X0))
      | element_of_collection(union_of_members(X0),top_of_basis(X2))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f401,f116]) ).

fof(f2132,definition,
    ! [X0,X1,X4] :
      ( sQ48_spl
    <=> ( element_of_set(X4,union_of_members(X0))
        | element_of_collection(f1(X0,f11(X1,intersection_of_members(X0))),X0)
        | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ) ),
    introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).

fof(f2133,plain,
    ! [X0,X1,X2] :
      ( ~ sQ48_spl
      | element_of_set(X2,union_of_members(X0))
      | element_of_collection(f1(X0,f11(X1,intersection_of_members(X0))),X0)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(component_clause,[status(thm)],[f2132]) ).

fof(f2135,plain,
    ( sQ5_spl
    | sQ48_spl ),
    inference(split_clause,[status(thm)],[f2126,f2132,f406]) ).

fof(f2136,plain,
    ( sQ6_spl
    | sQ48_spl ),
    inference(split_clause,[status(thm)],[f2127,f2132,f410]) ).

fof(f2138,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ48_spl
      | element_of_set(X4,f1(X0,f11(X1,intersection_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_set(X2,union_of_members(X0))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f2133,f1561]) ).

fof(f2139,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ48_spl
      | ~ element_of_set(X3,f1(X0,f11(X1,intersection_of_members(X0))))
      | element_of_set(X3,union_of_members(X0))
      | element_of_set(X2,union_of_members(X0))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f2133,f116]) ).

fof(f2142,plain,
    ! [X0,X1,X2,X3] :
      ( ~ element_of_set(X3,f1(X0,f11(X2,f2(X0,X1))))
      | element_of_set(X3,union_of_members(X0))
      | element_of_set(X1,intersection_of_members(X0))
      | element_of_collection(f2(X0,X1),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f294,f116]) ).

fof(f2143,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ37_spl
      | element_of_set(X3,intersection_of_members(top_of_basis(X0)))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(top_of_basis(X2)))
      | 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)],[f730,f2113]) ).

fof(f2144,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(X4,union_of_members(top_of_basis(X0)))
      | element_of_collection(f1(top_of_basis(X2),f11(X3,intersection_of_members(top_of_basis(X2)))),top_of_basis(X2))
      | element_of_collection(intersection_of_members(top_of_basis(X2)),top_of_basis(X3))
      | 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)],[f730,f365]) ).

fof(f2145,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(X4,union_of_members(top_of_basis(X0)))
      | element_of_set(f11(X3,intersection_of_members(top_of_basis(X2))),union_of_members(top_of_basis(X2)))
      | element_of_collection(intersection_of_members(top_of_basis(X2)),top_of_basis(X3))
      | element_of_set(f11(X1,intersection_of_members(X0)),union_of_members(X0))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f730,f1561]) ).

fof(f2146,plain,
    ! [X0,X1,X2,X3] :
      ( ~ element_of_set(X2,union_of_members(top_of_basis(X0)))
      | element_of_set(X2,union_of_members(top_of_basis(X3)))
      | element_of_set(f11(X1,intersection_of_members(X0)),union_of_members(X0))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f730,f116]) ).

fof(f2147,definition,
    ! [X0,X1,X4] :
      ( sQ49_spl
    <=> ( element_of_set(X4,union_of_members(top_of_basis(X0)))
        | element_of_set(f11(X1,intersection_of_members(X0)),union_of_members(X0))
        | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ) ),
    introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).

fof(f2148,plain,
    ! [X0,X1,X2] :
      ( ~ sQ49_spl
      | element_of_set(X2,union_of_members(top_of_basis(X0)))
      | element_of_set(f11(X1,intersection_of_members(X0)),union_of_members(X0))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(component_clause,[status(thm)],[f2147]) ).

fof(f2150,plain,
    ( sQ5_spl
    | sQ49_spl ),
    inference(split_clause,[status(thm)],[f2144,f2147,f406]) ).

fof(f2151,plain,
    ( sQ6_spl
    | sQ49_spl ),
    inference(split_clause,[status(thm)],[f2145,f2147,f410]) ).

fof(f2152,plain,
    ! [X0,X1,X2] :
      ( ~ sQ37_spl
      | element_of_set(X1,intersection_of_members(X0))
      | ~ element_of_collection(union_of_members(X0),X2)
      | element_of_collection(f2(X0,X1),top_of_basis(X2)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1069,f1492]) ).

fof(f2153,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ37_spl
      | topological_space(X0,X1)
      | element_of_set(X3,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2))))
      | element_of_collection(f2(top_of_basis(subspace_topology(X0,X1,X2)),X3),top_of_basis(top_of_basis(X4))) ),
    inference(resolution,[status(thm)],[f2152,f799]) ).

fof(f2154,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ37_spl
      | element_of_set(f11(X3,intersection_of_members(X0)),union_of_members(X0))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X3))
      | element_of_set(X1,intersection_of_members(top_of_basis(X0)))
      | element_of_collection(f2(top_of_basis(X0),X1),top_of_basis(top_of_basis(X2))) ),
    inference(resolution,[status(thm)],[f2152,f730]) ).

fof(f2157,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(f11(X3,f10(X0,f2(top_of_basis(X0),X1),f11(X2,f2(top_of_basis(X0),X1)))),union_of_members(X0))
      | element_of_collection(f2(top_of_basis(X0),X1),top_of_basis(X2))
      | element_of_set(X1,intersection_of_members(top_of_basis(X0)))
      | element_of_collection(f10(X0,f2(top_of_basis(X0),X1),f11(X2,f2(top_of_basis(X0),X1))),top_of_basis(X3)) ),
    inference(resolution,[status(thm)],[f165,f697]) ).

fof(f2159,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(f11(X4,f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,union_of_members(subspace_topology(X0,X1,X2)))))),union_of_members(X1))
      | element_of_collection(union_of_members(subspace_topology(X0,X1,X2)),top_of_basis(X3))
      | element_of_collection(f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,union_of_members(subspace_topology(X0,X1,X2))))),top_of_basis(X4)) ),
    inference(resolution,[status(thm)],[f165,f1604]) ).

fof(f2160,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_set(f11(X6,f12(X0,X1,X2,f12(X3,subspace_topology(X0,X1,X2),X4,f2(subspace_topology(X3,subspace_topology(X0,X1,X2),X4),X5)))),union_of_members(X1))
      | element_of_set(X5,intersection_of_members(subspace_topology(X3,subspace_topology(X0,X1,X2),X4)))
      | element_of_collection(f12(X0,X1,X2,f12(X3,subspace_topology(X0,X1,X2),X4,f2(subspace_topology(X3,subspace_topology(X0,X1,X2),X4),X5))),top_of_basis(X6)) ),
    inference(resolution,[status(thm)],[f165,f1625]) ).

fof(f2161,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(f11(X4,f12(X0,X1,X2,f2(subspace_topology(X0,X1,X2),X3))),union_of_members(X1))
      | element_of_set(X3,intersection_of_members(subspace_topology(X0,X1,X2)))
      | element_of_collection(f12(X0,X1,X2,f2(subspace_topology(X0,X1,X2),X3)),top_of_basis(X4)) ),
    inference(resolution,[status(thm)],[f165,f1582]) ).

fof(f2162,plain,
    ! [X0,X1,X2,X3] :
      ( ~ element_of_set(f11(X3,closure(relative_complement_sets(X0,X1),X1,X2)),closure(X0,X1,X2))
      | ~ topological_space(X1,X2)
      | element_of_set(f11(X3,closure(relative_complement_sets(X0,X1),X1,X2)),boundary(X0,X1,X2))
      | element_of_collection(closure(relative_complement_sets(X0,X1),X1,X2),top_of_basis(X3)) ),
    inference(resolution,[status(thm)],[f165,f215]) ).

fof(f2163,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(f11(X3,boundary(X0,X1,X2)),closure(relative_complement_sets(X0,X1),X1,X2))
      | element_of_collection(boundary(X0,X1,X2),top_of_basis(X3)) ),
    inference(resolution,[status(thm)],[f165,f214]) ).

fof(f2164,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(f11(X3,boundary(X0,X1,X2)),closure(X0,X1,X2))
      | element_of_collection(boundary(X0,X1,X2),top_of_basis(X3)) ),
    inference(resolution,[status(thm)],[f165,f213]) ).

fof(f2165,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(f11(X3,interior(X0,X1,X2)),f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))))
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3)) ),
    inference(resolution,[status(thm)],[f165,f180]) ).

fof(f2170,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_set(X4,boundary(X5,X0,X1))
      | element_of_collection(f1(top_of_basis(X2),f11(X3,intersection_of_members(top_of_basis(X2)))),top_of_basis(X2))
      | element_of_collection(intersection_of_members(top_of_basis(X2)),top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1072,f365]) ).

fof(f2171,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_set(X4,boundary(X5,X0,X1))
      | element_of_set(f11(X3,intersection_of_members(top_of_basis(X2))),union_of_members(top_of_basis(X2)))
      | element_of_collection(intersection_of_members(top_of_basis(X2)),top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1072,f1561]) ).

fof(f2172,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ element_of_set(X2,boundary(X4,X0,X1))
      | element_of_set(X2,union_of_members(top_of_basis(X3)))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1072,f116]) ).

fof(f2173,definition,
    ! [X0,X1,X4,X5] :
      ( sQ50_spl
    <=> ( element_of_set(X4,boundary(X5,X0,X1))
        | topological_space(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).

fof(f2174,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ50_spl
      | element_of_set(X2,boundary(X3,X0,X1))
      | topological_space(X0,X1) ),
    inference(component_clause,[status(thm)],[f2173]) ).

fof(f2176,plain,
    ( sQ5_spl
    | sQ50_spl ),
    inference(split_clause,[status(thm)],[f2170,f2173,f406]) ).

fof(f2177,plain,
    ( sQ6_spl
    | sQ50_spl ),
    inference(split_clause,[status(thm)],[f2171,f2173,f410]) ).

fof(f2178,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ50_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(backward_subsumption_resolution,[status(thm)],[f215,f2174]) ).

fof(f2180,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ50_spl
      | element_of_set(X2,closure(X3,X0,X1))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f2174,f213]) ).

fof(f2181,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_set(X4,closure(X5,X0,X1))
      | element_of_collection(f1(top_of_basis(X2),f11(X3,intersection_of_members(top_of_basis(X2)))),top_of_basis(X2))
      | element_of_collection(intersection_of_members(top_of_basis(X2)),top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f900,f365]) ).

fof(f2182,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_set(X4,closure(X5,X0,X1))
      | element_of_set(f11(X3,intersection_of_members(top_of_basis(X2))),union_of_members(top_of_basis(X2)))
      | element_of_collection(intersection_of_members(top_of_basis(X2)),top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f900,f1561]) ).

fof(f2183,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ element_of_set(X2,closure(X4,X0,X1))
      | element_of_set(X2,union_of_members(top_of_basis(X3)))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f900,f116]) ).

fof(f2184,definition,
    ! [X0,X1,X4,X5] :
      ( sQ51_spl
    <=> ( element_of_set(X4,closure(X5,X0,X1))
        | topological_space(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).

fof(f2185,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ51_spl
      | element_of_set(X2,closure(X3,X0,X1))
      | topological_space(X0,X1) ),
    inference(component_clause,[status(thm)],[f2184]) ).

fof(f2187,plain,
    ( sQ5_spl
    | sQ51_spl ),
    inference(split_clause,[status(thm)],[f2181,f2184,f406]) ).

fof(f2188,plain,
    ( sQ6_spl
    | sQ51_spl ),
    inference(split_clause,[status(thm)],[f2182,f2184,f410]) ).

fof(f2189,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_set(X4,interior(X5,X0,X1))
      | element_of_collection(f1(top_of_basis(X2),f11(X3,intersection_of_members(top_of_basis(X2)))),top_of_basis(X2))
      | element_of_collection(intersection_of_members(top_of_basis(X2)),top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f898,f365]) ).

fof(f2190,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_set(X4,interior(X5,X0,X1))
      | element_of_set(f11(X3,intersection_of_members(top_of_basis(X2))),union_of_members(top_of_basis(X2)))
      | element_of_collection(intersection_of_members(top_of_basis(X2)),top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f898,f1561]) ).

fof(f2191,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ element_of_set(X2,interior(X4,X0,X1))
      | element_of_set(X2,union_of_members(top_of_basis(X3)))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f898,f116]) ).

fof(f2192,definition,
    ! [X0,X1,X4,X5] :
      ( sQ52_spl
    <=> ( element_of_set(X4,interior(X5,X0,X1))
        | topological_space(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).

fof(f2193,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ52_spl
      | element_of_set(X2,interior(X3,X0,X1))
      | topological_space(X0,X1) ),
    inference(component_clause,[status(thm)],[f2192]) ).

fof(f2195,plain,
    ( sQ5_spl
    | sQ52_spl ),
    inference(split_clause,[status(thm)],[f2189,f2192,f406]) ).

fof(f2196,plain,
    ( sQ6_spl
    | sQ52_spl ),
    inference(split_clause,[status(thm)],[f2190,f2192,f410]) ).

fof(f2197,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ52_spl
      | element_of_set(X2,f13(X3,X0,X1,X2))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f2193,f180]) ).

fof(f2200,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_set(X4,union_of_members(subspace_topology(X0,X1,X5)))
      | element_of_collection(f1(top_of_basis(X2),f11(X3,intersection_of_members(top_of_basis(X2)))),top_of_basis(X2))
      | element_of_collection(intersection_of_members(top_of_basis(X2)),top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f800,f365]) ).

fof(f2201,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_set(X4,union_of_members(subspace_topology(X0,X1,X5)))
      | element_of_set(f11(X3,intersection_of_members(top_of_basis(X2))),union_of_members(top_of_basis(X2)))
      | element_of_collection(intersection_of_members(top_of_basis(X2)),top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f800,f1561]) ).

fof(f2202,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ element_of_set(X2,union_of_members(subspace_topology(X0,X1,X4)))
      | element_of_set(X2,union_of_members(top_of_basis(X3)))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f800,f116]) ).

fof(f2203,definition,
    ! [X0,X1,X4,X5] :
      ( sQ53_spl
    <=> ( element_of_set(X4,union_of_members(subspace_topology(X0,X1,X5)))
        | topological_space(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).

fof(f2204,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ53_spl
      | element_of_set(X2,union_of_members(subspace_topology(X0,X1,X3)))
      | topological_space(X0,X1) ),
    inference(component_clause,[status(thm)],[f2203]) ).

fof(f2206,plain,
    ( sQ5_spl
    | sQ53_spl ),
    inference(split_clause,[status(thm)],[f2200,f2203,f406]) ).

fof(f2207,plain,
    ( sQ6_spl
    | sQ53_spl ),
    inference(split_clause,[status(thm)],[f2201,f2203,f410]) ).

fof(f2208,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f1(f5(X0,top_of_basis(X1)),f11(X2,intersection_of_members(f5(X0,top_of_basis(X1))))),f5(X0,top_of_basis(X1)))
      | element_of_collection(intersection_of_members(f5(X0,top_of_basis(X1))),top_of_basis(X2))
      | element_of_collection(f4(X0,top_of_basis(X1)),top_of_basis(X1))
      | ~ element_of_collection(X0,top_of_basis(X1))
      | ~ element_of_collection(empty_set,top_of_basis(X1))
      | ~ equal_sets(union_of_members(top_of_basis(X1)),X0)
      | topological_space(X0,top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f132,f401]) ).

fof(f2210,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f1(f5(X0,top_of_basis(X1)),f11(X2,intersection_of_members(f5(X0,top_of_basis(X1))))),f5(X0,top_of_basis(X1)))
      | element_of_collection(intersection_of_members(f5(X0,top_of_basis(X1))),top_of_basis(X2))
      | element_of_collection(f3(X0,top_of_basis(X1)),top_of_basis(X1))
      | ~ element_of_collection(X0,top_of_basis(X1))
      | ~ element_of_collection(empty_set,top_of_basis(X1))
      | ~ equal_sets(union_of_members(top_of_basis(X1)),X0)
      | topological_space(X0,top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f130,f401]) ).

fof(f2212,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ37_spl
      | eq_p(X4,X0)
      | ~ element_of_set(X4,intersection_of_sets(f16(X0,X1,X2,X3),X1))
      | ~ topological_space(X2,X3)
      | limit_point(X0,X1,X2,X3) ),
    inference(forward_subsumption_resolution,[status(thm)],[f210,f1492]) ).

fof(f2213,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ37_spl
      | element_of_collection(intersection_of_sets(f16(X0,X1,X2,X3),X1),top_of_basis(X4))
      | eq_p(f11(X4,intersection_of_sets(f16(X0,X1,X2,X3),X1)),X0)
      | ~ topological_space(X2,X3)
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f2212,f165]) ).

fof(f2214,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ50_spl
      | closed(f14(X1,X2,X3,X0),X2,X3)
      | ~ subset_sets(X1,X2)
      | element_of_set(X0,closure(X1,X2,X3)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f192,f2180]) ).

fof(f2215,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ37_spl
      | ~ sQ50_spl
      | closed(f14(X1,X2,X3,X0),X2,X3)
      | element_of_set(X0,closure(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2214,f1492]) ).

fof(f2216,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ37_spl
      | neighborhood(f16(X0,X1,X2,X3),X0,X2,X3)
      | ~ topological_space(X2,X3)
      | limit_point(X0,X1,X2,X3) ),
    inference(forward_subsumption_resolution,[status(thm)],[f208,f1492]) ).

fof(f2218,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ6_spl
      | topological_space(X0,X1)
      | element_of_collection(intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2))),top_of_basis(top_of_basis(X3))) ),
    inference(resolution,[status(thm)],[f1559,f799]) ).

fof(f2219,plain,
    ! [X0,X1,X2] :
      ( ~ sQ6_spl
      | element_of_set(f11(X2,intersection_of_members(X0)),union_of_members(X0))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X2))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f1559,f730]) ).

fof(f2221,plain,
    ! [X0,X1,X2] :
      ( ~ sQ6_spl
      | element_of_set(f11(X2,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(X2))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f1559,f392]) ).

fof(f2222,plain,
    ! [X0,X1] :
      ( ~ sQ37_spl
      | ~ element_of_collection(union_of_members(X0),X1)
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1023,f1492]) ).

fof(f2224,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ37_spl
      | topological_space(X0,X1)
      | element_of_collection(union_of_members(top_of_basis(top_of_basis(subspace_topology(X0,X1,X2)))),top_of_basis(top_of_basis(X3))) ),
    inference(resolution,[status(thm)],[f2222,f799]) ).

fof(f2225,plain,
    ! [X0,X1,X2] :
      ( ~ sQ37_spl
      | element_of_set(f11(X2,intersection_of_members(X0)),union_of_members(X0))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X2))
      | element_of_collection(union_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f2222,f730]) ).

fof(f2226,plain,
    ! [X0,X1,X2] :
      ( ~ sQ37_spl
      | element_of_collection(f1(X0,f11(X2,intersection_of_members(X0))),X0)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X2))
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f2222,f401]) ).

fof(f2228,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ50_spl
      | element_of_collection(closure(relative_complement_sets(X1,X2),X2,X3),top_of_basis(X0))
      | ~ element_of_set(f11(X0,closure(relative_complement_sets(X1,X2),X2,X3)),closure(X1,X2,X3))
      | element_of_set(f11(X0,closure(relative_complement_sets(X1,X2),X2,X3)),boundary(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2178,f165]) ).

fof(f2230,plain,
    ! [X0,X1] :
      ( ~ sQ37_spl
      | ~ element_of_collection(f1(X0,f11(X1,union_of_members(top_of_basis(X0)))),X1)
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1022,f1492]) ).

fof(f2231,plain,
    ! [X0] :
      ( ~ sQ37_spl
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X0))
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f2230,f720]) ).

fof(f2232,plain,
    ! [X0] :
      ( ~ sQ37_spl
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X0)) ),
    inference(duplicate_literals_removal,[status(thm)],[f2231]) ).

fof(f2233,plain,
    ! [X0] :
      ( ~ sQ6_spl
      | ~ sQ37_spl
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(top_of_basis(X0))) ),
    inference(resolution,[status(thm)],[f2232,f1559]) ).

fof(f2235,plain,
    ! [X0,X1] :
      ( ~ sQ37_spl
      | element_of_set(X1,intersection_of_members(top_of_basis(X0)))
      | element_of_collection(f2(top_of_basis(X0),X1),top_of_basis(top_of_basis(X0))) ),
    inference(resolution,[status(thm)],[f2232,f2152]) ).

fof(f2236,plain,
    ! [X0,X1] :
      ( ~ sQ37_spl
      | element_of_set(X1,intersection_of_members(top_of_basis(X0)))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(top_of_basis(X0))) ),
    inference(resolution,[status(thm)],[f2232,f2113]) ).

fof(f2237,plain,
    ! [X0,X1,X2] :
      ( ~ sQ37_spl
      | element_of_set(X2,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(X0))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f2232,f365]) ).

fof(f2238,plain,
    ! [X0,X1,X2] :
      ( ~ sQ37_spl
      | element_of_set(X2,union_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)],[f2232,f1561]) ).

fof(f2240,plain,
    ! [X0,X1,X2] :
      ( ~ sQ37_spl
      | ~ connected_space(X0,subspace_topology(X1,X2,X0))
      | ~ topological_space(X1,X2)
      | connected_set(X0,X1,X2) ),
    inference(forward_subsumption_resolution,[status(thm)],[f250,f1492]) ).

fof(f2241,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ6_spl
      | element_of_set(X4,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X5))))
      | element_of_collection(f1(top_of_basis(top_of_basis(X2)),f11(X3,intersection_of_members(top_of_basis(top_of_basis(X2))))),top_of_basis(top_of_basis(X2)))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X2))),top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f2218,f365]) ).

fof(f2242,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ6_spl
      | element_of_set(X4,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X5))))
      | element_of_set(f11(X3,intersection_of_members(top_of_basis(top_of_basis(X2)))),union_of_members(top_of_basis(top_of_basis(X2))))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X2))),top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f2218,f1561]) ).

fof(f2243,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ6_spl
      | ~ element_of_set(X2,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X4))))
      | element_of_set(X2,union_of_members(top_of_basis(top_of_basis(X3))))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f2218,f116]) ).

fof(f2244,definition,
    ! [X0,X1,X4,X5] :
      ( sQ54_spl
    <=> ( element_of_set(X4,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X5))))
        | topological_space(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).

fof(f2245,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ54_spl
      | element_of_set(X2,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X3))))
      | topological_space(X0,X1) ),
    inference(component_clause,[status(thm)],[f2244]) ).

fof(f2247,definition,
    ! [X2,X3] :
      ( sQ55_spl
    <=> ( element_of_collection(f1(top_of_basis(top_of_basis(X2)),f11(X3,intersection_of_members(top_of_basis(top_of_basis(X2))))),top_of_basis(top_of_basis(X2)))
        | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X2))),top_of_basis(X3)) ) ),
    introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).

fof(f2248,plain,
    ! [X0,X1] :
      ( ~ sQ55_spl
      | element_of_collection(f1(top_of_basis(top_of_basis(X0)),f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0))))),top_of_basis(top_of_basis(X0)))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1)) ),
    inference(component_clause,[status(thm)],[f2247]) ).

fof(f2250,plain,
    ( ~ sQ6_spl
    | sQ55_spl
    | sQ54_spl ),
    inference(split_clause,[status(thm)],[f2241,f2244,f2247,f410]) ).

fof(f2251,definition,
    ! [X2,X3] :
      ( sQ56_spl
    <=> ( element_of_set(f11(X3,intersection_of_members(top_of_basis(top_of_basis(X2)))),union_of_members(top_of_basis(top_of_basis(X2))))
        | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X2))),top_of_basis(X3)) ) ),
    introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).

fof(f2252,plain,
    ! [X0,X1] :
      ( ~ sQ56_spl
      | element_of_set(f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0)))),union_of_members(top_of_basis(top_of_basis(X0))))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1)) ),
    inference(component_clause,[status(thm)],[f2251]) ).

fof(f2254,plain,
    ( ~ sQ6_spl
    | sQ56_spl
    | sQ54_spl ),
    inference(split_clause,[status(thm)],[f2242,f2244,f2251,f410]) ).

fof(f2255,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ37_spl
      | element_of_set(X3,intersection_of_members(top_of_basis(X1)))
      | element_of_collection(f1(top_of_basis(top_of_basis(X1)),f11(X2,intersection_of_members(top_of_basis(top_of_basis(X1))))),top_of_basis(top_of_basis(X1)))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X1))),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f2236,f365]) ).

fof(f2256,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ37_spl
      | element_of_set(X3,intersection_of_members(top_of_basis(X1)))
      | element_of_set(f11(X2,intersection_of_members(top_of_basis(top_of_basis(X1)))),union_of_members(top_of_basis(top_of_basis(X1))))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X1))),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f2236,f1561]) ).

fof(f2257,plain,
    ! [X0,X1,X2] :
      ( ~ sQ37_spl
      | ~ element_of_set(X2,intersection_of_members(top_of_basis(X1)))
      | element_of_set(X2,union_of_members(top_of_basis(top_of_basis(X1))))
      | element_of_set(X0,intersection_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f2236,f116]) ).

fof(f2258,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ37_spl
      | element_of_set(X3,f2(top_of_basis(X1),X0))
      | element_of_collection(f1(top_of_basis(top_of_basis(X1)),f11(X2,intersection_of_members(top_of_basis(top_of_basis(X1))))),top_of_basis(top_of_basis(X1)))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X1))),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f2235,f365]) ).

fof(f2259,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ37_spl
      | element_of_set(X3,f2(top_of_basis(X1),X0))
      | element_of_set(f11(X2,intersection_of_members(top_of_basis(top_of_basis(X1)))),union_of_members(top_of_basis(top_of_basis(X1))))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X1))),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f2235,f1561]) ).

fof(f2260,plain,
    ! [X0,X1,X2] :
      ( ~ sQ37_spl
      | ~ element_of_set(X2,f2(top_of_basis(X1),X0))
      | element_of_set(X2,union_of_members(top_of_basis(top_of_basis(X1))))
      | element_of_set(X0,intersection_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f2235,f116]) ).

fof(f2261,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ6_spl
      | ~ sQ37_spl
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(subspace_topology(X0,X1,X2)))),top_of_basis(top_of_basis(top_of_basis(X3))))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f2224,f1559]) ).

fof(f2262,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ37_spl
      | element_of_collection(union_of_members(top_of_basis(top_of_basis(top_of_basis(subspace_topology(X0,X1,X2))))),top_of_basis(top_of_basis(top_of_basis(X3))))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f2224,f2222]) ).

fof(f2263,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ37_spl
      | element_of_set(X3,intersection_of_members(top_of_basis(top_of_basis(subspace_topology(X0,X1,X2)))))
      | element_of_collection(f2(top_of_basis(top_of_basis(subspace_topology(X0,X1,X2))),X3),top_of_basis(top_of_basis(top_of_basis(X4))))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f2224,f2152]) ).

fof(f2264,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ37_spl
      | element_of_set(X4,intersection_of_members(top_of_basis(top_of_basis(subspace_topology(X0,X1,X2)))))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(subspace_topology(X0,X1,X2)))),top_of_basis(top_of_basis(top_of_basis(X3))))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f2224,f2113]) ).

fof(f2265,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ37_spl
      | element_of_set(X4,union_of_members(top_of_basis(top_of_basis(subspace_topology(X0,X1,X5)))))
      | element_of_collection(f1(top_of_basis(top_of_basis(X2)),f11(X3,intersection_of_members(top_of_basis(top_of_basis(X2))))),top_of_basis(top_of_basis(X2)))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X2))),top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f2224,f365]) ).

fof(f2266,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ37_spl
      | element_of_set(X4,union_of_members(top_of_basis(top_of_basis(subspace_topology(X0,X1,X5)))))
      | element_of_set(f11(X3,intersection_of_members(top_of_basis(top_of_basis(X2)))),union_of_members(top_of_basis(top_of_basis(X2))))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X2))),top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f2224,f1561]) ).

fof(f2267,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ37_spl
      | ~ element_of_set(X2,union_of_members(top_of_basis(top_of_basis(subspace_topology(X0,X1,X4)))))
      | element_of_set(X2,union_of_members(top_of_basis(top_of_basis(X3))))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f2224,f116]) ).

fof(f2268,definition,
    ! [X0,X1,X4,X5] :
      ( sQ57_spl
    <=> ( element_of_set(X4,union_of_members(top_of_basis(top_of_basis(subspace_topology(X0,X1,X5)))))
        | topological_space(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).

fof(f2269,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ57_spl
      | element_of_set(X2,union_of_members(top_of_basis(top_of_basis(subspace_topology(X0,X1,X3)))))
      | topological_space(X0,X1) ),
    inference(component_clause,[status(thm)],[f2268]) ).

fof(f2271,plain,
    ( ~ sQ37_spl
    | sQ55_spl
    | sQ57_spl ),
    inference(split_clause,[status(thm)],[f2265,f2268,f2247,f1491]) ).

fof(f2272,plain,
    ( ~ sQ37_spl
    | sQ56_spl
    | sQ57_spl ),
    inference(split_clause,[status(thm)],[f2266,f2268,f2251,f1491]) ).

fof(f2273,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ6_spl
      | ~ sQ37_spl
      | element_of_set(X4,intersection_of_members(top_of_basis(top_of_basis(subspace_topology(X0,X1,X5)))))
      | element_of_collection(f1(top_of_basis(top_of_basis(top_of_basis(X2))),f11(X3,intersection_of_members(top_of_basis(top_of_basis(top_of_basis(X2)))))),top_of_basis(top_of_basis(top_of_basis(X2))))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(top_of_basis(X2)))),top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f2261,f365]) ).

fof(f2274,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ6_spl
      | ~ sQ37_spl
      | element_of_set(X4,intersection_of_members(top_of_basis(top_of_basis(subspace_topology(X0,X1,X5)))))
      | element_of_set(f11(X3,intersection_of_members(top_of_basis(top_of_basis(top_of_basis(X2))))),union_of_members(top_of_basis(top_of_basis(top_of_basis(X2)))))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(top_of_basis(X2)))),top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f2261,f1561]) ).

fof(f2275,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ6_spl
      | ~ sQ37_spl
      | ~ element_of_set(X2,intersection_of_members(top_of_basis(top_of_basis(subspace_topology(X0,X1,X4)))))
      | element_of_set(X2,union_of_members(top_of_basis(top_of_basis(top_of_basis(X3)))))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f2261,f116]) ).

fof(f2276,definition,
    ! [X0,X1,X4,X5] :
      ( sQ58_spl
    <=> ( element_of_set(X4,intersection_of_members(top_of_basis(top_of_basis(subspace_topology(X0,X1,X5)))))
        | topological_space(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).

fof(f2277,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ58_spl
      | element_of_set(X2,intersection_of_members(top_of_basis(top_of_basis(subspace_topology(X0,X1,X3)))))
      | topological_space(X0,X1) ),
    inference(component_clause,[status(thm)],[f2276]) ).

fof(f2279,definition,
    ! [X2,X3] :
      ( sQ59_spl
    <=> ( element_of_collection(f1(top_of_basis(top_of_basis(top_of_basis(X2))),f11(X3,intersection_of_members(top_of_basis(top_of_basis(top_of_basis(X2)))))),top_of_basis(top_of_basis(top_of_basis(X2))))
        | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(top_of_basis(X2)))),top_of_basis(X3)) ) ),
    introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).

fof(f2280,plain,
    ! [X0,X1] :
      ( ~ sQ59_spl
      | element_of_collection(f1(top_of_basis(top_of_basis(top_of_basis(X0))),f11(X1,intersection_of_members(top_of_basis(top_of_basis(top_of_basis(X0)))))),top_of_basis(top_of_basis(top_of_basis(X0))))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(top_of_basis(X0)))),top_of_basis(X1)) ),
    inference(component_clause,[status(thm)],[f2279]) ).

fof(f2282,plain,
    ( ~ sQ6_spl
    | ~ sQ37_spl
    | sQ59_spl
    | sQ58_spl ),
    inference(split_clause,[status(thm)],[f2273,f2276,f2279,f1491,f410]) ).

fof(f2283,definition,
    ! [X2,X3] :
      ( sQ60_spl
    <=> ( element_of_set(f11(X3,intersection_of_members(top_of_basis(top_of_basis(top_of_basis(X2))))),union_of_members(top_of_basis(top_of_basis(top_of_basis(X2)))))
        | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(top_of_basis(X2)))),top_of_basis(X3)) ) ),
    introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).

fof(f2284,plain,
    ! [X0,X1] :
      ( ~ sQ60_spl
      | element_of_set(f11(X1,intersection_of_members(top_of_basis(top_of_basis(top_of_basis(X0))))),union_of_members(top_of_basis(top_of_basis(top_of_basis(X0)))))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(top_of_basis(X0)))),top_of_basis(X1)) ),
    inference(component_clause,[status(thm)],[f2283]) ).

fof(f2286,plain,
    ( ~ sQ6_spl
    | ~ sQ37_spl
    | sQ60_spl
    | sQ58_spl ),
    inference(split_clause,[status(thm)],[f2274,f2276,f2283,f1491,f410]) ).

fof(f2288,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_set(X5,f2(top_of_basis(X1),X0))
      | element_of_collection(f1(top_of_basis(X3),f11(X4,intersection_of_members(top_of_basis(X3)))),top_of_basis(X3))
      | element_of_collection(intersection_of_members(top_of_basis(X3)),top_of_basis(X4))
      | element_of_set(f11(X2,intersection_of_members(X1)),union_of_members(X1))
      | element_of_collection(intersection_of_members(X1),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f755,f365]) ).

fof(f2289,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_set(X5,f2(top_of_basis(X1),X0))
      | element_of_set(f11(X4,intersection_of_members(top_of_basis(X3))),union_of_members(top_of_basis(X3)))
      | element_of_collection(intersection_of_members(top_of_basis(X3)),top_of_basis(X4))
      | element_of_set(f11(X2,intersection_of_members(X1)),union_of_members(X1))
      | element_of_collection(intersection_of_members(X1),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f755,f1561]) ).

fof(f2290,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ element_of_set(X3,f2(top_of_basis(X1),X0))
      | element_of_set(X3,union_of_members(top_of_basis(X4)))
      | element_of_set(f11(X2,intersection_of_members(X1)),union_of_members(X1))
      | element_of_collection(intersection_of_members(X1),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f755,f116]) ).

fof(f2291,definition,
    ! [X0,X1,X2,X5] :
      ( sQ61_spl
    <=> ( element_of_set(X5,f2(top_of_basis(X1),X0))
        | element_of_set(f11(X2,intersection_of_members(X1)),union_of_members(X1))
        | element_of_collection(intersection_of_members(X1),top_of_basis(X2))
        | element_of_set(X0,intersection_of_members(top_of_basis(X1))) ) ),
    introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).

fof(f2292,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ61_spl
      | element_of_set(X3,f2(top_of_basis(X1),X0))
      | element_of_set(f11(X2,intersection_of_members(X1)),union_of_members(X1))
      | element_of_collection(intersection_of_members(X1),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(top_of_basis(X1))) ),
    inference(component_clause,[status(thm)],[f2291]) ).

fof(f2294,plain,
    ( sQ5_spl
    | sQ61_spl ),
    inference(split_clause,[status(thm)],[f2288,f2291,f406]) ).

fof(f2295,plain,
    ( sQ6_spl
    | sQ61_spl ),
    inference(split_clause,[status(thm)],[f2289,f2291,f410]) ).

fof(f2296,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ37_spl
      | ~ element_of_collection(intersection_of_members(X0),X3)
      | element_of_collection(X2,top_of_basis(X3))
      | element_of_set(f11(X1,intersection_of_members(X0)),union_of_members(X0))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1560,f1492]) ).

fof(f2297,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ6_spl
      | ~ sQ37_spl
      | topological_space(X0,X1)
      | element_of_collection(X4,top_of_basis(top_of_basis(top_of_basis(top_of_basis(X5)))))
      | element_of_set(f11(X3,intersection_of_members(top_of_basis(top_of_basis(subspace_topology(X0,X1,X2))))),union_of_members(top_of_basis(top_of_basis(subspace_topology(X0,X1,X2)))))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(subspace_topology(X0,X1,X2)))),top_of_basis(X3)) ),
    inference(resolution,[status(thm)],[f2296,f2261]) ).

fof(f2298,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ6_spl
      | ~ sQ37_spl
      | topological_space(X0,X1)
      | element_of_collection(X4,top_of_basis(top_of_basis(top_of_basis(X5))))
      | element_of_set(f11(X3,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2)))),union_of_members(top_of_basis(subspace_topology(X0,X1,X2))))
      | element_of_collection(intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2))),top_of_basis(X3)) ),
    inference(resolution,[status(thm)],[f2296,f2218]) ).

fof(f2300,definition,
    ! [X0,X1,X2,X3] :
      ( sQ62_spl
    <=> ( topological_space(X0,X1)
        | element_of_set(f11(X3,intersection_of_members(top_of_basis(top_of_basis(subspace_topology(X0,X1,X2))))),union_of_members(top_of_basis(top_of_basis(subspace_topology(X0,X1,X2)))))
        | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(subspace_topology(X0,X1,X2)))),top_of_basis(X3)) ) ),
    introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).

fof(f2301,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ62_spl
      | topological_space(X0,X1)
      | element_of_set(f11(X3,intersection_of_members(top_of_basis(top_of_basis(subspace_topology(X0,X1,X2))))),union_of_members(top_of_basis(top_of_basis(subspace_topology(X0,X1,X2)))))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(subspace_topology(X0,X1,X2)))),top_of_basis(X3)) ),
    inference(component_clause,[status(thm)],[f2300]) ).

fof(f2303,definition,
    ! [X4,X5] :
      ( sQ63_spl
    <=> element_of_collection(X4,top_of_basis(top_of_basis(top_of_basis(top_of_basis(X5))))) ),
    introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).

fof(f2304,plain,
    ! [X0,X1] :
      ( ~ sQ63_spl
      | element_of_collection(X0,top_of_basis(top_of_basis(top_of_basis(top_of_basis(X1))))) ),
    inference(component_clause,[status(thm)],[f2303]) ).

fof(f2306,plain,
    ( ~ sQ6_spl
    | ~ sQ37_spl
    | sQ63_spl
    | sQ62_spl ),
    inference(split_clause,[status(thm)],[f2297,f2300,f2303,f1491,f410]) ).

fof(f2307,definition,
    ! [X0,X1,X2,X3] :
      ( sQ64_spl
    <=> ( topological_space(X0,X1)
        | element_of_set(f11(X3,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2)))),union_of_members(top_of_basis(subspace_topology(X0,X1,X2))))
        | element_of_collection(intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2))),top_of_basis(X3)) ) ),
    introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).

fof(f2308,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ64_spl
      | topological_space(X0,X1)
      | element_of_set(f11(X3,intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2)))),union_of_members(top_of_basis(subspace_topology(X0,X1,X2))))
      | element_of_collection(intersection_of_members(top_of_basis(subspace_topology(X0,X1,X2))),top_of_basis(X3)) ),
    inference(component_clause,[status(thm)],[f2307]) ).

fof(f2310,definition,
    ! [X4,X5] :
      ( sQ65_spl
    <=> element_of_collection(X4,top_of_basis(top_of_basis(top_of_basis(X5)))) ),
    introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).

fof(f2311,plain,
    ! [X0,X1] :
      ( ~ sQ65_spl
      | element_of_collection(X0,top_of_basis(top_of_basis(top_of_basis(X1)))) ),
    inference(component_clause,[status(thm)],[f2310]) ).

fof(f2313,plain,
    ( ~ sQ6_spl
    | ~ sQ37_spl
    | sQ65_spl
    | sQ64_spl ),
    inference(split_clause,[status(thm)],[f2298,f2307,f2310,f1491,f410]) ).

fof(f2314,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ50_spl
      | subset_sets(X1,f14(X1,X2,X3,X0))
      | ~ subset_sets(X1,X2)
      | element_of_set(X0,closure(X1,X2,X3)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f191,f2180]) ).

fof(f2315,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ6_spl
      | element_of_collection(intersection_of_members(top_of_basis(subspace_topology(X1,X2,X0))),top_of_basis(top_of_basis(X3)))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f875,f1559]) ).

fof(f2316,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_set(X4,union_of_members(top_of_basis(subspace_topology(X1,X5,X0))))
      | element_of_collection(f1(top_of_basis(X2),f11(X3,intersection_of_members(top_of_basis(X2)))),top_of_basis(X2))
      | element_of_collection(intersection_of_members(top_of_basis(X2)),top_of_basis(X3))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f875,f365]) ).

fof(f2317,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_set(X4,union_of_members(top_of_basis(subspace_topology(X1,X5,X0))))
      | element_of_set(f11(X3,intersection_of_members(top_of_basis(X2))),union_of_members(top_of_basis(X2)))
      | element_of_collection(intersection_of_members(top_of_basis(X2)),top_of_basis(X3))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f875,f1561]) ).

fof(f2318,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ element_of_set(X2,union_of_members(top_of_basis(subspace_topology(X1,X4,X0))))
      | element_of_set(X2,union_of_members(top_of_basis(X3)))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f875,f116]) ).

fof(f2319,definition,
    ! [X0,X1,X4,X5] :
      ( sQ66_spl
    <=> ( element_of_set(X4,union_of_members(top_of_basis(subspace_topology(X1,X5,X0))))
        | subset_sets(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).

fof(f2320,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ66_spl
      | element_of_set(X2,union_of_members(top_of_basis(subspace_topology(X1,X3,X0))))
      | subset_sets(X0,X1) ),
    inference(component_clause,[status(thm)],[f2319]) ).

fof(f2322,plain,
    ( sQ5_spl
    | sQ66_spl ),
    inference(split_clause,[status(thm)],[f2316,f2319,f406]) ).

fof(f2323,plain,
    ( sQ6_spl
    | sQ66_spl ),
    inference(split_clause,[status(thm)],[f2317,f2319,f410]) ).

fof(f2324,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ6_spl
      | element_of_set(X4,intersection_of_members(top_of_basis(subspace_topology(X1,X5,X0))))
      | element_of_collection(f1(top_of_basis(top_of_basis(X2)),f11(X3,intersection_of_members(top_of_basis(top_of_basis(X2))))),top_of_basis(top_of_basis(X2)))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X2))),top_of_basis(X3))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f2315,f365]) ).

fof(f2325,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ6_spl
      | element_of_set(X4,intersection_of_members(top_of_basis(subspace_topology(X1,X5,X0))))
      | element_of_set(f11(X3,intersection_of_members(top_of_basis(top_of_basis(X2)))),union_of_members(top_of_basis(top_of_basis(X2))))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X2))),top_of_basis(X3))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f2315,f1561]) ).

fof(f2326,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ6_spl
      | ~ element_of_set(X2,intersection_of_members(top_of_basis(subspace_topology(X1,X4,X0))))
      | element_of_set(X2,union_of_members(top_of_basis(top_of_basis(X3))))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f2315,f116]) ).

fof(f2327,definition,
    ! [X0,X1,X4,X5] :
      ( sQ67_spl
    <=> ( element_of_set(X4,intersection_of_members(top_of_basis(subspace_topology(X1,X5,X0))))
        | subset_sets(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).

fof(f2328,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ67_spl
      | element_of_set(X2,intersection_of_members(top_of_basis(subspace_topology(X1,X3,X0))))
      | subset_sets(X0,X1) ),
    inference(component_clause,[status(thm)],[f2327]) ).

fof(f2330,plain,
    ( ~ sQ6_spl
    | sQ55_spl
    | sQ67_spl ),
    inference(split_clause,[status(thm)],[f2324,f2327,f2247,f410]) ).

fof(f2331,plain,
    ( ~ sQ6_spl
    | sQ56_spl
    | sQ67_spl ),
    inference(split_clause,[status(thm)],[f2325,f2327,f2251,f410]) ).

fof(f2332,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f1(X0,f11(X1,union_of_members(top_of_basis(X0)))),top_of_basis(X2))
      | element_of_set(f11(X2,f1(X0,f11(X1,union_of_members(top_of_basis(X0))))),union_of_members(X0))
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f725,f165]) ).

fof(f2336,plain,
    ! [X0,X1,X2] :
      ( ~ sQ6_spl
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(top_of_basis(X2)))
      | 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)],[f402,f1559]) ).

fof(f2337,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f3(X0,top_of_basis(X1)),top_of_basis(X1))
      | ~ element_of_collection(X0,top_of_basis(X1))
      | ~ element_of_collection(empty_set,top_of_basis(X1))
      | ~ equal_sets(union_of_members(top_of_basis(X1)),X0)
      | topological_space(X0,top_of_basis(X1))
      | element_of_set(f11(X2,intersection_of_members(f5(X0,top_of_basis(X1)))),f1(f5(X0,top_of_basis(X1)),f11(X2,intersection_of_members(f5(X0,top_of_basis(X1))))))
      | element_of_collection(intersection_of_members(f5(X0,top_of_basis(X1))),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f402,f130]) ).

fof(f2338,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f4(X0,top_of_basis(X1)),top_of_basis(X1))
      | ~ element_of_collection(X0,top_of_basis(X1))
      | ~ element_of_collection(empty_set,top_of_basis(X1))
      | ~ equal_sets(union_of_members(top_of_basis(X1)),X0)
      | topological_space(X0,top_of_basis(X1))
      | element_of_set(f11(X2,intersection_of_members(f5(X0,top_of_basis(X1)))),f1(f5(X0,top_of_basis(X1)),f11(X2,intersection_of_members(f5(X0,top_of_basis(X1))))))
      | element_of_collection(intersection_of_members(f5(X0,top_of_basis(X1))),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f402,f132]) ).

fof(f2339,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(X4,union_of_members(X0))
      | element_of_collection(f1(top_of_basis(X2),f11(X3,intersection_of_members(top_of_basis(X2)))),top_of_basis(X2))
      | element_of_collection(intersection_of_members(top_of_basis(X2)),top_of_basis(X3))
      | 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)],[f402,f365]) ).

fof(f2340,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(X4,union_of_members(X0))
      | element_of_set(f11(X3,intersection_of_members(top_of_basis(X2))),union_of_members(top_of_basis(X2)))
      | element_of_collection(intersection_of_members(top_of_basis(X2)),top_of_basis(X3))
      | element_of_set(f11(X1,intersection_of_members(X0)),f1(X0,f11(X1,intersection_of_members(X0))))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f402,f1561]) ).

fof(f2341,plain,
    ! [X0,X1,X2,X3] :
      ( ~ element_of_set(X2,union_of_members(X0))
      | element_of_set(X2,union_of_members(top_of_basis(X3)))
      | element_of_set(f11(X1,intersection_of_members(X0)),f1(X0,f11(X1,intersection_of_members(X0))))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f402,f116]) ).

fof(f2342,definition,
    ! [X0,X1,X4] :
      ( sQ68_spl
    <=> ( element_of_set(X4,union_of_members(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)) ) ),
    introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).

fof(f2343,plain,
    ! [X0,X1,X2] :
      ( ~ sQ68_spl
      | element_of_set(X2,union_of_members(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(component_clause,[status(thm)],[f2342]) ).

fof(f2345,plain,
    ( sQ5_spl
    | sQ68_spl ),
    inference(split_clause,[status(thm)],[f2339,f2342,f406]) ).

fof(f2346,plain,
    ( sQ6_spl
    | sQ68_spl ),
    inference(split_clause,[status(thm)],[f2340,f2342,f410]) ).

fof(f2347,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(top_of_basis(X0)))
      | element_of_collection(f2(top_of_basis(X0),X2),top_of_basis(X1))
      | element_of_set(X2,intersection_of_members(top_of_basis(X0)))
      | element_of_collection(f2(top_of_basis(X0),X2),top_of_basis(X1))
      | element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X1,f2(top_of_basis(X0),X2))),f11(X1,f2(top_of_basis(X0),X2))),X0) ),
    inference(resolution,[status(thm)],[f579,f295]) ).

fof(f2348,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f1(top_of_basis(X0),f11(X1,f2(top_of_basis(X0),X2))),top_of_basis(X3))
      | element_of_set(X2,intersection_of_members(top_of_basis(X0)))
      | element_of_collection(f2(top_of_basis(X0),X2),top_of_basis(X1))
      | element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X1,f2(top_of_basis(X0),X2))),f11(X3,f1(top_of_basis(X0),f11(X1,f2(top_of_basis(X0),X2))))),X0) ),
    inference(resolution,[status(thm)],[f579,f165]) ).

fof(f2349,plain,
    ! [X0,X1,X2] :
      ( ~ sQ8_spl
      | element_of_set(X2,intersection_of_members(top_of_basis(X0)))
      | element_of_collection(f2(top_of_basis(X0),X2),top_of_basis(X1))
      | element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X1,f2(top_of_basis(X0),X2))),f11(X1,f2(top_of_basis(X0),X2))),X0) ),
    inference(resolution,[status(thm)],[f579,f1661]) ).

fof(f2350,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(top_of_basis(X0)))
      | element_of_collection(f2(top_of_basis(X0),X2),top_of_basis(X1))
      | element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X1,f2(top_of_basis(X0),X2))),f11(X1,f2(top_of_basis(X0),X2))),X0) ),
    inference(duplicate_literals_removal,[status(thm)],[f2347]) ).

fof(f2351,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))),f11(X2,intersection_of_members(top_of_basis(X0)))),top_of_basis(X3))
      | element_of_set(f11(X3,f10(X0,f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))),f11(X2,intersection_of_members(top_of_basis(X0))))),union_of_members(X0))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X2))
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f741,f165]) ).

fof(f2352,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f10(X1,f2(top_of_basis(X1),X0),f11(X2,intersection_of_members(top_of_basis(X1)))),top_of_basis(X3))
      | element_of_set(f11(X3,f10(X1,f2(top_of_basis(X1),X0),f11(X2,intersection_of_members(top_of_basis(X1))))),union_of_members(X1))
      | element_of_collection(intersection_of_members(top_of_basis(X1)),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f693,f165]) ).

fof(f2353,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X2,intersection_of_members(top_of_basis(X0)))
      | element_of_collection(f2(top_of_basis(X0),X2),top_of_basis(X3))
      | element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X3,f2(top_of_basis(X0),X2))),f11(X1,intersection_of_members(top_of_basis(X0)))),X0)
      | element_of_set(X2,intersection_of_members(top_of_basis(X0)))
      | element_of_collection(f2(top_of_basis(X0),X2),top_of_basis(X3))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f353,f579]) ).

fof(f2354,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X3,f2(top_of_basis(X0),X2))),f11(X1,intersection_of_members(top_of_basis(X0)))),X0)
      | element_of_set(X2,intersection_of_members(top_of_basis(X0)))
      | element_of_collection(f2(top_of_basis(X0),X2),top_of_basis(X3))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f2353]) ).

fof(f2355,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_set(X4,interior(X0,X1,X5))
      | element_of_collection(f1(top_of_basis(X2),f11(X3,intersection_of_members(top_of_basis(X2)))),top_of_basis(X2))
      | element_of_collection(intersection_of_members(top_of_basis(X2)),top_of_basis(X3))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f899,f365]) ).

fof(f2356,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_set(X4,interior(X0,X1,X5))
      | element_of_set(f11(X3,intersection_of_members(top_of_basis(X2))),union_of_members(top_of_basis(X2)))
      | element_of_collection(intersection_of_members(top_of_basis(X2)),top_of_basis(X3))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f899,f1561]) ).

fof(f2357,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ element_of_set(X2,interior(X0,X1,X4))
      | element_of_set(X2,union_of_members(top_of_basis(X3)))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f899,f116]) ).

fof(f2358,definition,
    ! [X0,X1,X4,X5] :
      ( sQ69_spl
    <=> ( element_of_set(X4,interior(X0,X1,X5))
        | subset_sets(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).

fof(f2359,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ69_spl
      | element_of_set(X2,interior(X0,X1,X3))
      | subset_sets(X0,X1) ),
    inference(component_clause,[status(thm)],[f2358]) ).

fof(f2361,plain,
    ( sQ5_spl
    | sQ69_spl ),
    inference(split_clause,[status(thm)],[f2355,f2358,f406]) ).

fof(f2362,plain,
    ( sQ6_spl
    | sQ69_spl ),
    inference(split_clause,[status(thm)],[f2356,f2358,f410]) ).

fof(f2363,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ69_spl
      | element_of_set(X2,f13(X0,X1,X3,X2))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f2359,f180]) ).

fof(f2364,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_set(X4,closure(X0,X1,X5))
      | element_of_collection(f1(top_of_basis(X2),f11(X3,intersection_of_members(top_of_basis(X2)))),top_of_basis(X2))
      | element_of_collection(intersection_of_members(top_of_basis(X2)),top_of_basis(X3))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f1071,f365]) ).

fof(f2365,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_set(X4,closure(X0,X1,X5))
      | element_of_set(f11(X3,intersection_of_members(top_of_basis(X2))),union_of_members(top_of_basis(X2)))
      | element_of_collection(intersection_of_members(top_of_basis(X2)),top_of_basis(X3))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f1071,f1561]) ).

fof(f2366,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ element_of_set(X2,closure(X0,X1,X4))
      | element_of_set(X2,union_of_members(top_of_basis(X3)))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f1071,f116]) ).

fof(f2367,definition,
    ! [X0,X1,X4,X5] :
      ( sQ70_spl
    <=> ( element_of_set(X4,closure(X0,X1,X5))
        | subset_sets(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).

fof(f2368,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ70_spl
      | element_of_set(X2,closure(X0,X1,X3))
      | subset_sets(X0,X1) ),
    inference(component_clause,[status(thm)],[f2367]) ).

fof(f2370,plain,
    ( sQ5_spl
    | sQ70_spl ),
    inference(split_clause,[status(thm)],[f2364,f2367,f406]) ).

fof(f2371,plain,
    ( sQ6_spl
    | sQ70_spl ),
    inference(split_clause,[status(thm)],[f2365,f2367,f410]) ).

fof(f2372,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ50_spl
      | ~ sQ70_spl
      | closed(f14(X1,X2,X3,X0),X2,X3)
      | element_of_set(X0,closure(X1,X2,X3)) ),
    inference(backward_subsumption_resolution,[status(thm)],[f2214,f2368]) ).

fof(f2373,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ50_spl
      | ~ sQ70_spl
      | subset_sets(X1,f14(X1,X2,X3,X0))
      | element_of_set(X0,closure(X1,X2,X3)) ),
    inference(backward_subsumption_resolution,[status(thm)],[f2314,f2368]) ).

fof(f2374,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ50_spl
      | ~ sQ70_spl
      | element_of_collection(closure(relative_complement_sets(X0,X1),X1,X3),top_of_basis(X2))
      | element_of_set(f11(X2,closure(relative_complement_sets(X0,X1),X1,X3)),boundary(X0,X1,X3))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f2368,f2228]) ).

fof(f2375,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ50_spl
      | ~ sQ70_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)],[f2368,f2178]) ).

fof(f2376,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_set(X4,union_of_members(subspace_topology(X1,X5,X0)))
      | element_of_collection(f1(top_of_basis(X2),f11(X3,intersection_of_members(top_of_basis(X2)))),top_of_basis(X2))
      | element_of_collection(intersection_of_members(top_of_basis(X2)),top_of_basis(X3))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f876,f365]) ).

fof(f2377,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_set(X4,union_of_members(subspace_topology(X1,X5,X0)))
      | element_of_set(f11(X3,intersection_of_members(top_of_basis(X2))),union_of_members(top_of_basis(X2)))
      | element_of_collection(intersection_of_members(top_of_basis(X2)),top_of_basis(X3))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f876,f1561]) ).

fof(f2378,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ element_of_set(X2,union_of_members(subspace_topology(X1,X4,X0)))
      | element_of_set(X2,union_of_members(top_of_basis(X3)))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f876,f116]) ).

fof(f2379,definition,
    ! [X0,X1,X4,X5] :
      ( sQ71_spl
    <=> ( element_of_set(X4,union_of_members(subspace_topology(X1,X5,X0)))
        | subset_sets(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).

fof(f2380,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | element_of_set(X2,union_of_members(subspace_topology(X1,X3,X0)))
      | subset_sets(X0,X1) ),
    inference(component_clause,[status(thm)],[f2379]) ).

fof(f2382,plain,
    ( sQ5_spl
    | sQ71_spl ),
    inference(split_clause,[status(thm)],[f2376,f2379,f406]) ).

fof(f2383,plain,
    ( sQ6_spl
    | sQ71_spl ),
    inference(split_clause,[status(thm)],[f2377,f2379,f410]) ).

fof(f2384,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( element_of_set(X4,union_of_members(subspace_topology(X5,subspace_topology(X0,X1,X6),X7)))
      | element_of_collection(f1(top_of_basis(X2),f11(X3,intersection_of_members(top_of_basis(X2)))),top_of_basis(X2))
      | element_of_collection(intersection_of_members(top_of_basis(X2)),top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1599,f365]) ).

fof(f2385,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( element_of_set(X4,union_of_members(subspace_topology(X5,subspace_topology(X0,X1,X6),X7)))
      | element_of_set(f11(X3,intersection_of_members(top_of_basis(X2))),union_of_members(top_of_basis(X2)))
      | element_of_collection(intersection_of_members(top_of_basis(X2)),top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1599,f1561]) ).

fof(f2386,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ element_of_set(X2,union_of_members(subspace_topology(X4,subspace_topology(X0,X1,X5),X6)))
      | element_of_set(X2,union_of_members(top_of_basis(X3)))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1599,f116]) ).

fof(f2387,definition,
    ! [X0,X1,X4,X5,X6,X7] :
      ( sQ72_spl
    <=> ( element_of_set(X4,union_of_members(subspace_topology(X5,subspace_topology(X0,X1,X6),X7)))
        | topological_space(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).

fof(f2388,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ72_spl
      | element_of_set(X2,union_of_members(subspace_topology(X3,subspace_topology(X0,X1,X4),X5)))
      | topological_space(X0,X1) ),
    inference(component_clause,[status(thm)],[f2387]) ).

fof(f2390,plain,
    ( sQ5_spl
    | sQ72_spl ),
    inference(split_clause,[status(thm)],[f2384,f2387,f406]) ).

fof(f2391,plain,
    ( sQ6_spl
    | sQ72_spl ),
    inference(split_clause,[status(thm)],[f2385,f2387,f410]) ).

fof(f2392,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( element_of_set(X4,union_of_members(subspace_topology(X5,subspace_topology(X1,X6,X0),X7)))
      | element_of_collection(f1(top_of_basis(X2),f11(X3,intersection_of_members(top_of_basis(X2)))),top_of_basis(X2))
      | element_of_collection(intersection_of_members(top_of_basis(X2)),top_of_basis(X3))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f1598,f365]) ).

fof(f2393,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( element_of_set(X4,union_of_members(subspace_topology(X5,subspace_topology(X1,X6,X0),X7)))
      | element_of_set(f11(X3,intersection_of_members(top_of_basis(X2))),union_of_members(top_of_basis(X2)))
      | element_of_collection(intersection_of_members(top_of_basis(X2)),top_of_basis(X3))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f1598,f1561]) ).

fof(f2394,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ element_of_set(X2,union_of_members(subspace_topology(X4,subspace_topology(X1,X5,X0),X6)))
      | element_of_set(X2,union_of_members(top_of_basis(X3)))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f1598,f116]) ).

fof(f2395,definition,
    ! [X0,X1,X4,X5,X6,X7] :
      ( sQ73_spl
    <=> ( element_of_set(X4,union_of_members(subspace_topology(X5,subspace_topology(X1,X6,X0),X7)))
        | subset_sets(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).

fof(f2396,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ73_spl
      | element_of_set(X2,union_of_members(subspace_topology(X3,subspace_topology(X1,X4,X0),X5)))
      | subset_sets(X0,X1) ),
    inference(component_clause,[status(thm)],[f2395]) ).

fof(f2398,plain,
    ( sQ5_spl
    | sQ73_spl ),
    inference(split_clause,[status(thm)],[f2392,f2395,f406]) ).

fof(f2399,plain,
    ( sQ6_spl
    | sQ73_spl ),
    inference(split_clause,[status(thm)],[f2393,f2395,f410]) ).

fof(f2402,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ48_spl
      | element_of_set(X7,union_of_members(subspace_topology(X3,subspace_topology(X0,X1,X4),X5)))
      | element_of_collection(intersection_of_members(subspace_topology(X3,subspace_topology(X0,X1,X4),X5)),top_of_basis(X6))
      | element_of_set(X2,f1(subspace_topology(X3,subspace_topology(X0,X1,X4),X5),f11(X6,intersection_of_members(subspace_topology(X3,subspace_topology(X0,X1,X4),X5)))))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1586,f2133]) ).

fof(f2405,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_collection(union_of_members(top_of_basis(subspace_topology(X3,subspace_topology(X0,X1,X4),X5))),top_of_basis(X6))
      | element_of_set(X2,f1(subspace_topology(X3,subspace_topology(X0,X1,X4),X5),f11(X6,union_of_members(top_of_basis(subspace_topology(X3,subspace_topology(X0,X1,X4),X5))))))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1586,f720]) ).

fof(f2408,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ48_spl
      | element_of_set(X7,union_of_members(subspace_topology(X3,subspace_topology(X1,X4,X0),X5)))
      | element_of_collection(intersection_of_members(subspace_topology(X3,subspace_topology(X1,X4,X0),X5)),top_of_basis(X6))
      | element_of_set(X2,f1(subspace_topology(X3,subspace_topology(X1,X4,X0),X5),f11(X6,intersection_of_members(subspace_topology(X3,subspace_topology(X1,X4,X0),X5)))))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f1584,f2133]) ).

fof(f2411,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_collection(union_of_members(top_of_basis(subspace_topology(X3,subspace_topology(X1,X4,X0),X5))),top_of_basis(X6))
      | element_of_set(X2,f1(subspace_topology(X3,subspace_topology(X1,X4,X0),X5),f11(X6,union_of_members(top_of_basis(subspace_topology(X3,subspace_topology(X1,X4,X0),X5))))))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f1584,f720]) ).

fof(f2417,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ6_spl
      | subset_sets(X4,X2)
      | element_of_set(f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0)))),intersection_of_members(top_of_basis(subspace_topology(X2,X3,X4))))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f291,f2315]) ).

fof(f2418,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ6_spl
      | topological_space(X2,X3)
      | element_of_set(f11(X1,intersection_of_members(top_of_basis(top_of_basis(X0)))),intersection_of_members(top_of_basis(subspace_topology(X2,X3,X4))))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(X0))),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f291,f2218]) ).

fof(f2419,plain,
    ! [X0,X1,X2,X3,X4] :
      ( subset_sets(X2,X3)
      | element_of_set(f11(X1,intersection_of_members(top_of_basis(X0))),interior(X2,X3,X4))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f291,f899]) ).

fof(f2420,plain,
    ! [X0,X1,X2,X3,X4] :
      ( topological_space(X3,X4)
      | element_of_set(f11(X1,intersection_of_members(top_of_basis(X0))),interior(X2,X3,X4))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f291,f898]) ).

fof(f2421,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)],[f291,f1071]) ).

fof(f2422,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)],[f291,f900]) ).

fof(f2423,plain,
    ! [X0,X1,X2,X3,X4] :
      ( topological_space(X3,X4)
      | element_of_set(f11(X1,intersection_of_members(top_of_basis(X0))),boundary(X2,X3,X4))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f291,f1072]) ).

fof(f2424,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(f11(X4,intersection_of_members(X2)),union_of_members(X2))
      | element_of_collection(intersection_of_members(X2),top_of_basis(X4))
      | element_of_set(X3,intersection_of_members(top_of_basis(X2)))
      | element_of_set(f11(X1,intersection_of_members(top_of_basis(X0))),f2(top_of_basis(X2),X3))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f291,f755]) ).

fof(f2425,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)],[f291,f119]) ).

fof(f2426,plain,
    ! [X0,X1,X2] :
      ( ~ sQ6_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)],[f291,f1556]) ).

fof(f2428,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ48_spl
      | element_of_set(X3,union_of_members(X0))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X2))
      | element_of_set(f11(X1,intersection_of_members(X0)),f1(X0,f11(X2,intersection_of_members(X0))))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f291,f2133]) ).

fof(f2429,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(union_of_members(X0),top_of_basis(X3))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X2))
      | element_of_set(f11(X1,intersection_of_members(X0)),f1(X0,f11(X2,intersection_of_members(X0))))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f291,f401]) ).

fof(f2430,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(X3,intersection_of_members(X0))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X2))
      | element_of_set(f11(X1,intersection_of_members(X0)),f1(X0,f11(X2,intersection_of_members(X0))))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f291,f1567]) ).

fof(f2431,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X2))
      | element_of_set(f11(X1,intersection_of_members(X0)),f1(X0,f11(X2,union_of_members(top_of_basis(X0)))))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f291,f720]) ).

fof(f2432,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)],[f291,f292]) ).

fof(f2433,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( subset_sets(X5,X3)
      | element_of_set(f11(X1,intersection_of_members(top_of_basis(X0))),union_of_members(subspace_topology(X2,subspace_topology(X3,X4,X5),X6)))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f291,f1598]) ).

fof(f2434,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( topological_space(X3,X4)
      | element_of_set(f11(X1,intersection_of_members(top_of_basis(X0))),union_of_members(subspace_topology(X2,subspace_topology(X3,X4,X5),X6)))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f291,f1599]) ).

fof(f2435,plain,
    ! [X0,X1,X2,X3,X4] :
      ( subset_sets(X4,X2)
      | element_of_set(f11(X1,intersection_of_members(top_of_basis(X0))),union_of_members(subspace_topology(X2,X3,X4)))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f291,f876]) ).

fof(f2436,plain,
    ! [X0,X1,X2,X3,X4] :
      ( topological_space(X2,X3)
      | element_of_set(f11(X1,intersection_of_members(top_of_basis(X0))),union_of_members(subspace_topology(X2,X3,X4)))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f291,f800]) ).

fof(f2437,plain,
    ! [X0,X1,X2,X3,X4] :
      ( subset_sets(X4,X2)
      | element_of_set(f11(X1,intersection_of_members(top_of_basis(X0))),union_of_members(top_of_basis(subspace_topology(X2,X3,X4))))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f291,f875]) ).

fof(f2438,plain,
    ! [X0,X1,X2,X3,X4] :
      ( topological_space(X2,X3)
      | element_of_set(f11(X1,intersection_of_members(top_of_basis(X0))),union_of_members(top_of_basis(subspace_topology(X2,X3,X4))))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f291,f799]) ).

fof(f2439,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(f11(X3,intersection_of_members(X2)),union_of_members(X2))
      | element_of_collection(intersection_of_members(X2),top_of_basis(X3))
      | element_of_set(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(resolution,[status(thm)],[f291,f730]) ).

fof(f2440,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(f11(X3,intersection_of_members(X2)),f1(X2,f11(X3,intersection_of_members(X2))))
      | element_of_collection(intersection_of_members(X2),top_of_basis(X3))
      | 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)],[f291,f402]) ).

fof(f2441,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f1(X2,f11(X3,intersection_of_members(X2))),X2)
      | element_of_collection(intersection_of_members(X2),top_of_basis(X3))
      | element_of_set(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)],[f291,f401]) ).

fof(f2443,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ50_spl
      | ~ sQ70_spl
      | element_of_collection(closure(X0,X1,X3),top_of_basis(X2))
      | element_of_set(f11(X2,closure(X0,X1,X3)),boundary(X0,X1,X3))
      | subset_sets(relative_complement_sets(X0,X1),X1) ),
    inference(resolution,[status(thm)],[f2375,f165]) ).

fof(f2444,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ70_spl
      | ~ sQ50_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)],[f2375,f2368]) ).

fof(f2448,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(intersection_of_sets(f16(X0,X1,X2,X3),X1),top_of_basis(X4))
      | eq_p(f11(X4,intersection_of_sets(f16(X0,X1,X2,X3),X1)),X0)
      | ~ subset_sets(X1,X2)
      | ~ topological_space(X2,X3)
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f210,f165]) ).

fof(f2449,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f2(top_of_basis(X1),X2),top_of_basis(X0))
      | element_of_set(X2,intersection_of_members(top_of_basis(X1)))
      | element_of_set(f11(X0,f2(top_of_basis(X1),X2)),f10(X1,f2(top_of_basis(X1),X2),f11(X0,f2(top_of_basis(X1),X2)))) ),
    inference(resolution,[status(thm)],[f559,f165]) ).

fof(f2450,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f2(top_of_basis(X0),X1),top_of_basis(X2))
      | element_of_set(X1,intersection_of_members(top_of_basis(X0)))
      | subset_sets(f10(X0,f2(top_of_basis(X0),X1),f11(X2,f2(top_of_basis(X0),X1))),f2(top_of_basis(X0),X1)) ),
    inference(resolution,[status(thm)],[f859,f165]) ).

fof(f2451,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f2(top_of_basis(X0),X1),top_of_basis(X2))
      | element_of_set(X1,intersection_of_members(top_of_basis(X0)))
      | element_of_collection(f10(X0,f2(top_of_basis(X0),X1),f11(X2,f2(top_of_basis(X0),X1))),X0) ),
    inference(resolution,[status(thm)],[f580,f165]) ).

fof(f2456,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(f11(X4,intersection_of_members(X2)),f12(X1,X2,X3,f2(subspace_topology(X1,X2,X3),X0)))
      | element_of_collection(intersection_of_members(X2),top_of_basis(X4))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,X2,X3))) ),
    inference(resolution,[status(thm)],[f1110,f291]) ).

fof(f2457,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_set(X5,f12(X1,X2,X3,f2(subspace_topology(X1,X2,X3),X0)))
      | element_of_collection(f1(X2,f11(X4,intersection_of_members(X2))),X2)
      | element_of_collection(intersection_of_members(X2),top_of_basis(X4))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,X2,X3))) ),
    inference(resolution,[status(thm)],[f1110,f365]) ).

fof(f2458,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( element_of_set(X5,f12(X1,X2,X3,f2(subspace_topology(X1,X2,X3),X0)))
      | element_of_set(f11(X4,intersection_of_members(X2)),union_of_members(X2))
      | element_of_collection(intersection_of_members(X2),top_of_basis(X4))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,X2,X3))) ),
    inference(resolution,[status(thm)],[f1110,f1561]) ).

fof(f2461,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ50_spl
      | ~ sQ70_spl
      | element_of_set(f11(X3,boundary(X0,X1,X2)),boundary(relative_complement_sets(X0,X1),X1,X2))
      | subset_sets(relative_complement_sets(relative_complement_sets(X0,X1),X1),X1)
      | element_of_collection(boundary(X0,X1,X2),top_of_basis(X3)) ),
    inference(resolution,[status(thm)],[f2163,f2375]) ).

fof(f2462,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ50_spl
      | ~ element_of_set(f11(X3,boundary(relative_complement_sets(X0,X1),X1,X2)),closure(X0,X1,X2))
      | element_of_set(f11(X3,boundary(relative_complement_sets(X0,X1),X1,X2)),boundary(X0,X1,X2))
      | element_of_collection(boundary(relative_complement_sets(X0,X1),X1,X2),top_of_basis(X3)) ),
    inference(resolution,[status(thm)],[f2164,f2178]) ).

fof(f2464,plain,
    ! [X0,X1] :
      ( ~ sQ65_spl
      | subset_collections(f5(X0,top_of_basis(top_of_basis(top_of_basis(X1)))),top_of_basis(top_of_basis(top_of_basis(X1))))
      | ~ element_of_collection(X0,top_of_basis(top_of_basis(top_of_basis(X1))))
      | ~ element_of_collection(empty_set,top_of_basis(top_of_basis(top_of_basis(X1))))
      | ~ equal_sets(union_of_members(top_of_basis(top_of_basis(top_of_basis(X1)))),X0)
      | topological_space(X0,top_of_basis(top_of_basis(top_of_basis(X1)))) ),
    inference(resolution,[status(thm)],[f2311,f133]) ).

fof(f2468,plain,
    ! [X0,X1,X2] :
      ( ~ sQ65_spl
      | element_of_set(f11(X1,intersection_of_members(top_of_basis(top_of_basis(top_of_basis(X0))))),X2)
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(top_of_basis(X0)))),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f2311,f291]) ).

fof(f2469,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ65_spl
      | element_of_set(X2,X3)
      | element_of_collection(f1(top_of_basis(top_of_basis(top_of_basis(X0))),f11(X1,intersection_of_members(top_of_basis(top_of_basis(top_of_basis(X0)))))),top_of_basis(top_of_basis(top_of_basis(X0))))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(top_of_basis(X0)))),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f2311,f365]) ).

fof(f2470,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ65_spl
      | element_of_set(X2,X3)
      | element_of_set(f11(X1,intersection_of_members(top_of_basis(top_of_basis(top_of_basis(X0))))),union_of_members(top_of_basis(top_of_basis(top_of_basis(X0)))))
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(top_of_basis(X0)))),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f2311,f1561]) ).

fof(f2471,plain,
    ! [X0,X1,X2] :
      ( ~ sQ65_spl
      | ~ element_of_set(X0,X2)
      | element_of_set(X0,union_of_members(top_of_basis(top_of_basis(top_of_basis(X1))))) ),
    inference(resolution,[status(thm)],[f2311,f116]) ).

fof(f2472,plain,
    ! [X0,X1] :
      ( ~ sQ65_spl
      | subset_collections(f5(X0,top_of_basis(top_of_basis(top_of_basis(X1)))),top_of_basis(top_of_basis(top_of_basis(X1))))
      | ~ element_of_collection(X0,top_of_basis(top_of_basis(top_of_basis(X1))))
      | ~ equal_sets(union_of_members(top_of_basis(top_of_basis(top_of_basis(X1)))),X0)
      | topological_space(X0,top_of_basis(top_of_basis(top_of_basis(X1)))) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2464,f2311]) ).

fof(f2473,definition,
    ! [X2,X3] :
      ( sQ74_spl
    <=> element_of_set(X2,X3) ),
    introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).

fof(f2474,plain,
    ! [X0,X1] :
      ( ~ sQ74_spl
      | element_of_set(X0,X1) ),
    inference(component_clause,[status(thm)],[f2473]) ).

fof(f2476,plain,
    ( ~ sQ65_spl
    | sQ74_spl
    | sQ59_spl ),
    inference(split_clause,[status(thm)],[f2469,f2279,f2473,f2310]) ).

fof(f2477,plain,
    ( ~ sQ65_spl
    | sQ74_spl
    | sQ60_spl ),
    inference(split_clause,[status(thm)],[f2470,f2283,f2473,f2310]) ).

fof(f2478,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ74_spl
      | disjoint_s(f17(X0,X1,X2,X3),f18(X0,X1,X2,X3))
      | eq_p(X2,X3)
      | ~ element_of_set(X2,X0)
      | ~ hausdorff(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f219,f2474]) ).

fof(f2479,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ74_spl
      | neighborhood(f18(X0,X1,X2,X3),X3,X0,X1)
      | eq_p(X2,X3)
      | ~ element_of_set(X2,X0)
      | ~ hausdorff(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f218,f2474]) ).

fof(f2480,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ74_spl
      | neighborhood(f17(X0,X1,X2,X3),X2,X0,X1)
      | eq_p(X2,X3)
      | ~ element_of_set(X2,X0)
      | ~ hausdorff(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f217,f2474]) ).

fof(f2481,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ74_spl
      | eq_p(X4,X0)
      | ~ subset_sets(X1,X2)
      | ~ topological_space(X2,X3)
      | limit_point(X0,X1,X2,X3) ),
    inference(backward_subsumption_resolution,[status(thm)],[f210,f2474]) ).

fof(f2482,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ74_spl
      | disjoint_s(f17(X0,X1,X2,X3),f18(X0,X1,X2,X3))
      | eq_p(X2,X3)
      | ~ hausdorff(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2478,f2474]) ).

fof(f2483,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ74_spl
      | neighborhood(f18(X0,X1,X2,X3),X3,X0,X1)
      | eq_p(X2,X3)
      | ~ hausdorff(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2479,f2474]) ).

fof(f2484,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ74_spl
      | neighborhood(f17(X0,X1,X2,X3),X2,X0,X1)
      | eq_p(X2,X3)
      | ~ hausdorff(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2480,f2474]) ).

fof(f2485,plain,
    ! [X0,X1] :
      ( ~ sQ63_spl
      | subset_collections(f5(X0,top_of_basis(top_of_basis(top_of_basis(top_of_basis(X1))))),top_of_basis(top_of_basis(top_of_basis(top_of_basis(X1)))))
      | ~ element_of_collection(X0,top_of_basis(top_of_basis(top_of_basis(top_of_basis(X1)))))
      | ~ element_of_collection(empty_set,top_of_basis(top_of_basis(top_of_basis(top_of_basis(X1)))))
      | ~ equal_sets(union_of_members(top_of_basis(top_of_basis(top_of_basis(top_of_basis(X1))))),X0)
      | topological_space(X0,top_of_basis(top_of_basis(top_of_basis(top_of_basis(X1))))) ),
    inference(resolution,[status(thm)],[f2304,f133]) ).

fof(f2489,plain,
    ! [X0,X1] :
      ( ~ sQ63_spl
      | subset_collections(f5(X0,top_of_basis(top_of_basis(top_of_basis(top_of_basis(X1))))),top_of_basis(top_of_basis(top_of_basis(top_of_basis(X1)))))
      | ~ element_of_collection(X0,top_of_basis(top_of_basis(top_of_basis(top_of_basis(X1)))))
      | ~ equal_sets(union_of_members(top_of_basis(top_of_basis(top_of_basis(top_of_basis(X1))))),X0)
      | topological_space(X0,top_of_basis(top_of_basis(top_of_basis(top_of_basis(X1))))) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2485,f2304]) ).

fof(f2490,plain,
    ! [X0,X1,X2] :
      ( ~ open_covering(X2,X0,X1)
      | ~ subset_collections(X2,f24(X0,X1))
      | ~ finite(X2)
      | compact_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f264,f252]) ).

fof(f2491,plain,
    ! [X0,X1,X2,X3] :
      ( ~ element_of_set(X1,X0)
      | ~ open(X0,X2,X3)
      | neighborhood(X0,X1,X2,X3) ),
    inference(forward_subsumption_resolution,[status(thm)],[f201,f136]) ).

fof(f2500,plain,
    ! [X0,X1,X2] :
      ( ~ sQ74_spl
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X1))
      | element_of_collection(f10(X0,f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))),X2),X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f561,f2474]) ).

fof(f2501,plain,
    ! [X0,X1,X2,X3] :
      ( ~ disjoint_s(X2,X3)
      | ~ neighborhood(X3,f20(X0,X1),X0,X1)
      | ~ neighborhood(X2,f19(X0,X1),X0,X1)
      | hausdorff(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f224,f195]) ).

fof(f2502,plain,
    ! [X0,X1,X2] :
      ( ~ sQ74_spl
      | ~ compact_space(X0,subspace_topology(X1,X2,X0))
      | ~ topological_space(X1,X2)
      | compact_set(X0,X1,X2) ),
    inference(backward_subsumption_resolution,[status(thm)],[f270,f2509]) ).

fof(f2503,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ74_spl
      | neighborhood(f16(X0,X1,X2,X3),X0,X2,X3)
      | ~ topological_space(X2,X3)
      | limit_point(X0,X1,X2,X3) ),
    inference(backward_subsumption_resolution,[status(thm)],[f208,f2509]) ).

fof(f2504,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ74_spl
      | ~ element_of_collection(intersection_of_members(subspace_topology(X0,X1,X4)),X3)
      | element_of_collection(X2,top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f1307,f2509]) ).

fof(f2505,plain,
    ! [X0,X1] :
      ( ~ sQ74_spl
      | ~ element_of_collection(f1(X0,f11(X1,union_of_members(top_of_basis(X0)))),X1)
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(backward_subsumption_resolution,[status(thm)],[f1022,f2509]) ).

fof(f2506,plain,
    ! [X0,X1,X2] :
      ( ~ sQ74_spl
      | element_of_collection(union_of_members(X0),top_of_basis(X1))
      | ~ element_of_collection(union_of_members(X0),X2)
      | element_of_collection(f1(X0,f11(X1,union_of_members(X0))),top_of_basis(X2)) ),
    inference(backward_subsumption_resolution,[status(thm)],[f1035,f2509]) ).

fof(f2507,plain,
    ! [X0,X1] :
      ( ~ sQ74_spl
      | ~ element_of_collection(union_of_members(X0),X1)
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(backward_subsumption_resolution,[status(thm)],[f1023,f2509]) ).

fof(f2508,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ74_spl
      | eq_p(X4,X0)
      | ~ topological_space(X2,X3)
      | limit_point(X0,X1,X2,X3) ),
    inference(backward_subsumption_resolution,[status(thm)],[f2481,f2509]) ).

fof(f2509,plain,
    ! [X0,X1] :
      ( ~ sQ74_spl
      | subset_sets(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f188,f2474]) ).

fof(f2510,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ74_spl
      | open(f13(X0,X1,X2,X3),X1,X2) ),
    inference(forward_subsumption_resolution,[status(thm)],[f182,f2474]) ).

fof(f2511,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ74_spl
      | ~ element_of_set(X4,f13(X0,X1,X2,X3))
      | neighborhood(f13(X0,X1,X2,X3),X4,X1,X2) ),
    inference(resolution,[status(thm)],[f2510,f2491]) ).

fof(f2512,plain,
    ! [X0,X1] :
      ( ~ sQ74_spl
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f2510,f136]) ).

fof(f2513,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ74_spl
      | element_of_collection(f13(X0,X1,X2,X3),X2) ),
    inference(resolution,[status(thm)],[f2510,f138]) ).

fof(f2514,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ74_spl
      | neighborhood(f13(X0,X1,X2,X3),X4,X1,X2) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2511,f2474]) ).

fof(f2515,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ63_spl
      | ~ sQ74_spl
      | element_of_collection(X2,top_of_basis(top_of_basis(top_of_basis(top_of_basis(top_of_basis(X3))))))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f2504,f2304]) ).

fof(f2516,definition,
    ! [X2,X3] :
      ( sQ75_spl
    <=> element_of_collection(X2,top_of_basis(top_of_basis(top_of_basis(top_of_basis(top_of_basis(X3)))))) ),
    introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).

fof(f2517,plain,
    ! [X0,X1] :
      ( ~ sQ75_spl
      | element_of_collection(X0,top_of_basis(top_of_basis(top_of_basis(top_of_basis(top_of_basis(X1)))))) ),
    inference(component_clause,[status(thm)],[f2516]) ).

fof(f2519,plain,
    ( ~ sQ63_spl
    | ~ sQ74_spl
    | sQ75_spl
    | sQ7_spl ),
    inference(split_clause,[status(thm)],[f2515,f1310,f2516,f2473,f2303]) ).

fof(f2520,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ 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)],[f184,f136]) ).

fof(f2521,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)],[f1682,f2490]) ).

fof(f2522,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | equal_sets(union_of_members(f24(X0,X1)),X0)
      | compact_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1639,f256]) ).

fof(f2525,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | topological_space(X0,X1)
      | compact_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1639,f252]) ).

fof(f2528,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | topological_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2525,f259]) ).

fof(f2529,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | topological_space(X2,X1)
      | compact_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1683,f146]) ).

fof(f2530,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | topological_space(X2,f24(X0,X1))
      | compact_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1683,f148]) ).

fof(f2532,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | topological_space(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f259,f2529]) ).

fof(f2534,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | equal_sets(union_of_members(X1),X2)
      | compact_space(X0,X1) ),
    inference(resolution,[status(thm)],[f2529,f121]) ).

fof(f2535,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | separation(f21(X2,X1),f22(X2,X1),X2,X1)
      | connected_space(X2,X1)
      | compact_space(X0,X1) ),
    inference(resolution,[status(thm)],[f2529,f244]) ).

fof(f2536,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | element_of_collection(X2,X1)
      | compact_space(X0,X1) ),
    inference(resolution,[status(thm)],[f2529,f124]) ).

fof(f2537,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | element_of_collection(union_of_members(X2),X1)
      | ~ subset_collections(X2,X1)
      | compact_space(X0,X1) ),
    inference(resolution,[status(thm)],[f2529,f128]) ).

fof(f2538,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)
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f1700,f1641]) ).

fof(f2539,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)
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f1700,f1640]) ).

fof(f2540,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | open(f16(X0,X1,X2,X3),X2,X3)
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f1706,f197]) ).

fof(f2541,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | topological_space(X2,X3)
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f1706,f195]) ).

fof(f2542,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | topological_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2541,f203]) ).

fof(f2547,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ subset_collections(X1,X3)
      | ~ topological_space(X2,X3)
      | open_covering(X1,X2,X3)
      | compact_space(X0,X1) ),
    inference(resolution,[status(thm)],[f2534,f258]) ).

fof(f2553,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | equal_sets(union_of_members(f24(X0,X1)),X2)
      | compact_space(X0,X1) ),
    inference(resolution,[status(thm)],[f2530,f121]) ).

fof(f2554,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | separation(f21(X2,f24(X0,X1)),f22(X2,f24(X0,X1)),X2,f24(X0,X1))
      | connected_space(X2,f24(X0,X1))
      | compact_space(X0,X1) ),
    inference(resolution,[status(thm)],[f2530,f244]) ).

fof(f2555,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | element_of_collection(X2,f24(X0,X1))
      | compact_space(X0,X1) ),
    inference(resolution,[status(thm)],[f2530,f124]) ).

fof(f2556,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | element_of_collection(union_of_members(X2),f24(X0,X1))
      | ~ subset_collections(X2,f24(X0,X1))
      | compact_space(X0,X1) ),
    inference(resolution,[status(thm)],[f2530,f128]) ).

fof(f2560,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | open(X0,X2,X3)
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f2022,f197]) ).

fof(f2562,definition,
    ! [X0,X1] :
      ( sQ76_spl
    <=> hausdorff(X0,X1) ),
    introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).

fof(f2563,plain,
    ! [X0,X1] :
      ( ~ sQ76_spl
      | hausdorff(X0,X1) ),
    inference(component_clause,[status(thm)],[f2562]) ).

fof(f2566,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | topological_space(X0,X3)
      | open(X0,X1,X2) ),
    inference(resolution,[status(thm)],[f2560,f216]) ).

fof(f2567,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ element_of_set(X2,X0)
      | neighborhood(X0,X2,X3,X4)
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f2560,f2491]) ).

fof(f2569,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | element_of_collection(X0,X2)
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f2560,f138]) ).

fof(f2571,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | topological_space(X0,X2)
      | element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f2569,f216]) ).

fof(f2572,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | subset_collections(f5(X0,X1),X1)
      | ~ element_of_collection(X0,X1)
      | ~ element_of_collection(empty_set,X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1)
      | hausdorff(intersection_of_sets(f3(X0,X1),f4(X0,X1)),X2) ),
    inference(resolution,[status(thm)],[f2569,f133]) ).

fof(f2573,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | element_of_collection(f3(X0,X1),X1)
      | ~ element_of_collection(X0,X1)
      | ~ element_of_collection(empty_set,X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1)
      | hausdorff(union_of_members(f5(X0,X1)),X2) ),
    inference(resolution,[status(thm)],[f2569,f130]) ).

fof(f2574,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | element_of_collection(f4(X0,X1),X1)
      | ~ element_of_collection(X0,X1)
      | ~ element_of_collection(empty_set,X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1)
      | hausdorff(union_of_members(f5(X0,X1)),X2) ),
    inference(resolution,[status(thm)],[f2569,f132]) ).

fof(f2575,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | subset_collections(f5(X0,X1),X1)
      | element_of_collection(f3(X0,X1),X1)
      | ~ element_of_collection(empty_set,X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f129,f2571]) ).

fof(f2576,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ element_of_collection(union_of_members(f5(X0,X1)),X1)
      | element_of_collection(f3(X0,X1),X1)
      | ~ element_of_collection(empty_set,X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f130,f2571]) ).

fof(f2577,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | subset_collections(f5(X0,X1),X1)
      | element_of_collection(f4(X0,X1),X1)
      | ~ element_of_collection(empty_set,X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f131,f2571]) ).

fof(f2578,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ element_of_collection(union_of_members(f5(X0,X1)),X1)
      | element_of_collection(f4(X0,X1),X1)
      | ~ element_of_collection(empty_set,X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f132,f2571]) ).

fof(f2579,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | subset_collections(f5(X0,X1),X1)
      | ~ element_of_collection(intersection_of_sets(f3(X0,X1),f4(X0,X1)),X1)
      | ~ element_of_collection(empty_set,X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f133,f2571]) ).

fof(f2580,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | element_of_collection(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f124,f2571]) ).

fof(f2581,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | element_of_collection(empty_set,X2)
      | element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f2571,f123]) ).

fof(f2582,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | equal_sets(union_of_members(X2),X0)
      | element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f2571,f121]) ).

fof(f2583,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | separation(f21(X0,X2),f22(X0,X2),X0,X2)
      | connected_space(X0,X2)
      | element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f2571,f244]) ).

fof(f2584,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | element_of_collection(union_of_members(X2),X3)
      | ~ subset_collections(X2,X3)
      | element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f2571,f128]) ).

fof(f2585,plain,
    ( ~ sQ7_spl
    | sQ22_spl
    | sQ23_spl ),
    inference(split_clause,[status(thm)],[f2581,f1424,f1420,f1310]) ).

fof(f2586,plain,
    ( ~ sQ7_spl
    | sQ24_spl
    | sQ23_spl ),
    inference(split_clause,[status(thm)],[f2584,f1424,f1428,f1310]) ).

fof(f2588,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ70_spl
      | ~ sQ50_spl
      | subset_sets(X1,X2)
      | element_of_collection(closure(relative_complement_sets(X1,X2),X2,X3),top_of_basis(X0))
      | element_of_set(f11(X0,closure(relative_complement_sets(X1,X2),X2,X3)),boundary(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2228,f2368]) ).

fof(f2590,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ70_spl
      | ~ sQ50_spl
      | subset_sets(X0,X1)
      | element_of_set(f11(X3,boundary(relative_complement_sets(X0,X1),X1,X2)),boundary(X0,X1,X2))
      | element_of_collection(boundary(relative_complement_sets(X0,X1),X1,X2),top_of_basis(X3)) ),
    inference(resolution,[status(thm)],[f2462,f2368]) ).

fof(f2591,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(f11(X3,f10(X0,f2(top_of_basis(X0),X1),f11(X2,f2(top_of_basis(X0),X1)))),union_of_members(X0))
      | element_of_collection(f2(top_of_basis(X0),X1),top_of_basis(X2))
      | element_of_set(X1,intersection_of_members(top_of_basis(X0)))
      | element_of_collection(f10(X0,f2(top_of_basis(X0),X1),f11(X2,f2(top_of_basis(X0),X1))),top_of_basis(X3)) ),
    inference(resolution,[status(thm)],[f165,f697]) ).

fof(f2592,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(f11(X4,f12(X0,X1,X2,f2(subspace_topology(X0,X1,X2),X3))),union_of_members(X1))
      | element_of_set(X3,intersection_of_members(subspace_topology(X0,X1,X2)))
      | element_of_collection(f12(X0,X1,X2,f2(subspace_topology(X0,X1,X2),X3)),top_of_basis(X4)) ),
    inference(resolution,[status(thm)],[f165,f1582]) ).

fof(f2593,plain,
    ! [X0,X1,X2] :
      ( element_of_set(f11(X2,f1(X0,f11(X1,union_of_members(X0)))),union_of_members(X0))
      | element_of_collection(union_of_members(X0),top_of_basis(X1))
      | element_of_collection(f1(X0,f11(X1,union_of_members(X0))),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f165,f344]) ).

fof(f2595,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(intersection_of_sets(f16(X0,X1,X2,X3),X1),top_of_basis(X4))
      | eq_p(f11(X4,intersection_of_sets(f16(X0,X1,X2,X3),X1)),X0)
      | ~ subset_sets(X1,X2)
      | ~ topological_space(X2,X3)
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f210,f165]) ).

fof(f2596,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f1(f5(X0,top_of_basis(X1)),f11(X2,intersection_of_members(f5(X0,top_of_basis(X1))))),f5(X0,top_of_basis(X1)))
      | element_of_collection(intersection_of_members(f5(X0,top_of_basis(X1))),top_of_basis(X2))
      | element_of_collection(f3(X0,top_of_basis(X1)),top_of_basis(X1))
      | ~ element_of_collection(X0,top_of_basis(X1))
      | ~ element_of_collection(empty_set,top_of_basis(X1))
      | ~ equal_sets(union_of_members(top_of_basis(X1)),X0)
      | topological_space(X0,top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f130,f401]) ).

fof(f2597,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f1(f5(X0,top_of_basis(X1)),f11(X2,intersection_of_members(f5(X0,top_of_basis(X1))))),f5(X0,top_of_basis(X1)))
      | element_of_collection(intersection_of_members(f5(X0,top_of_basis(X1))),top_of_basis(X2))
      | element_of_collection(f4(X0,top_of_basis(X1)),top_of_basis(X1))
      | ~ element_of_collection(X0,top_of_basis(X1))
      | ~ element_of_collection(empty_set,top_of_basis(X1))
      | ~ equal_sets(union_of_members(top_of_basis(X1)),X0)
      | topological_space(X0,top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f132,f401]) ).

fof(f2602,plain,
    ! [X0,X1] :
      ( ~ sQ75_spl
      | subset_collections(f5(X0,top_of_basis(top_of_basis(top_of_basis(top_of_basis(top_of_basis(X1)))))),top_of_basis(top_of_basis(top_of_basis(top_of_basis(top_of_basis(X1))))))
      | ~ element_of_collection(X0,top_of_basis(top_of_basis(top_of_basis(top_of_basis(top_of_basis(X1))))))
      | ~ element_of_collection(empty_set,top_of_basis(top_of_basis(top_of_basis(top_of_basis(top_of_basis(X1))))))
      | ~ equal_sets(union_of_members(top_of_basis(top_of_basis(top_of_basis(top_of_basis(top_of_basis(X1)))))),X0)
      | topological_space(X0,top_of_basis(top_of_basis(top_of_basis(top_of_basis(top_of_basis(X1)))))) ),
    inference(resolution,[status(thm)],[f2517,f133]) ).

fof(f2605,plain,
    ! [X0,X1] :
      ( ~ sQ75_spl
      | subset_collections(f5(X0,top_of_basis(top_of_basis(top_of_basis(top_of_basis(top_of_basis(X1)))))),top_of_basis(top_of_basis(top_of_basis(top_of_basis(top_of_basis(X1))))))
      | ~ element_of_collection(X0,top_of_basis(top_of_basis(top_of_basis(top_of_basis(top_of_basis(X1))))))
      | ~ equal_sets(union_of_members(top_of_basis(top_of_basis(top_of_basis(top_of_basis(top_of_basis(X1)))))),X0)
      | topological_space(X0,top_of_basis(top_of_basis(top_of_basis(top_of_basis(top_of_basis(X1)))))) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2602,f2517]) ).

fof(f2607,plain,
    ! [X0,X1,X2] :
      ( ~ sQ10_spl
      | ~ element_of_set(X0,intersection_of_members(top_of_basis(X2)))
      | element_of_set(X0,union_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f116,f1374]) ).

fof(f2608,plain,
    ! [X0,X1,X2,X3,X4] :
      ( subset_sets(X2,X3)
      | ~ element_of_set(X0,interior(X2,X3,X4))
      | element_of_set(X0,union_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f116,f899]) ).

fof(f2609,plain,
    ! [X0,X1,X2,X3,X4] :
      ( topological_space(X3,X4)
      | ~ element_of_set(X0,interior(X2,X3,X4))
      | element_of_set(X0,union_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f116,f898]) ).

fof(f2610,plain,
    ! [X0,X1,X2,X3,X4] :
      ( subset_sets(X2,X3)
      | ~ element_of_set(X0,closure(X2,X3,X4))
      | element_of_set(X0,union_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f116,f1071]) ).

fof(f2611,plain,
    ! [X0,X1,X2,X3,X4] :
      ( topological_space(X3,X4)
      | ~ element_of_set(X0,closure(X2,X3,X4))
      | element_of_set(X0,union_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f116,f900]) ).

fof(f2612,plain,
    ! [X0,X1,X2,X3,X4] :
      ( topological_space(X3,X4)
      | ~ element_of_set(X0,boundary(X2,X3,X4))
      | element_of_set(X0,union_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f116,f1072]) ).

fof(f2613,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f1(X1,f11(X3,union_of_members(X1))),top_of_basis(X2))
      | element_of_collection(union_of_members(X1),top_of_basis(X3))
      | ~ element_of_set(X0,f1(X1,f11(X2,f1(X1,f11(X3,union_of_members(X1))))))
      | element_of_set(X0,union_of_members(X1)) ),
    inference(resolution,[status(thm)],[f116,f393]) ).

fof(f2614,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(union_of_members(X1),top_of_basis(X3))
      | element_of_collection(intersection_of_members(X1),top_of_basis(X2))
      | ~ element_of_set(X0,f1(X1,f11(X2,intersection_of_members(X1))))
      | element_of_set(X0,union_of_members(X1)) ),
    inference(resolution,[status(thm)],[f116,f401]) ).

fof(f2615,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(union_of_members(top_of_basis(X1)),top_of_basis(X2))
      | ~ element_of_set(X0,f1(X1,f11(X2,union_of_members(top_of_basis(X1)))))
      | element_of_set(X0,union_of_members(X1)) ),
    inference(resolution,[status(thm)],[f116,f720]) ).

fof(f2617,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( topological_space(X3,X4)
      | ~ element_of_set(X0,union_of_members(subspace_topology(X2,subspace_topology(X3,X4,X5),X6)))
      | element_of_set(X0,union_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f116,f1599]) ).

fof(f2618,plain,
    ! [X0,X1,X2,X3,X4] :
      ( subset_sets(X4,X2)
      | ~ element_of_set(X0,union_of_members(subspace_topology(X2,X3,X4)))
      | element_of_set(X0,union_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f116,f876]) ).

fof(f2619,plain,
    ! [X0,X1,X2,X3,X4] :
      ( topological_space(X2,X3)
      | ~ element_of_set(X0,union_of_members(subspace_topology(X2,X3,X4)))
      | element_of_set(X0,union_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f116,f800]) ).

fof(f2620,plain,
    ! [X0,X1,X2,X3,X4] :
      ( subset_sets(X4,X2)
      | ~ element_of_set(X0,union_of_members(top_of_basis(subspace_topology(X2,X3,X4))))
      | element_of_set(X0,union_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f116,f875]) ).

fof(f2621,plain,
    ! [X0,X1,X2,X3,X4] :
      ( topological_space(X2,X3)
      | ~ element_of_set(X0,union_of_members(top_of_basis(subspace_topology(X2,X3,X4))))
      | element_of_set(X0,union_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f116,f799]) ).

fof(f2622,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f1(X2,f11(X3,intersection_of_members(X2))),X2)
      | element_of_collection(intersection_of_members(X2),top_of_basis(X3))
      | ~ element_of_set(X0,union_of_members(X2))
      | element_of_set(X0,union_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f116,f401]) ).

fof(f2623,plain,
    ! [X0,X1,X2] :
      ( ~ sQ75_spl
      | ~ element_of_set(X0,X2)
      | element_of_set(X0,union_of_members(top_of_basis(top_of_basis(top_of_basis(top_of_basis(top_of_basis(X1))))))) ),
    inference(resolution,[status(thm)],[f116,f2517]) ).

fof(f2624,plain,
    ! [X0,X1] :
      ( ~ sQ23_spl
      | subset_collections(f5(X0,X1),X1)
      | ~ element_of_collection(intersection_of_sets(f3(X0,X1),f4(X0,X1)),X1)
      | ~ element_of_collection(X0,X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f133,f1425]) ).

fof(f2625,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ23_spl
      | ~ disjoint_s(X0,X1)
      | ~ equal_sets(union_of_sets(X0,X1),X2)
      | ~ 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(backward_subsumption_resolution,[status(thm)],[f240,f1425]) ).

fof(f2626,plain,
    ! [X0,X1,X2] :
      ( ~ sQ23_spl
      | ~ element_of_set(X0,X2)
      | element_of_set(X0,union_of_members(X1)) ),
    inference(backward_subsumption_resolution,[status(thm)],[f116,f1425]) ).

fof(f2627,plain,
    ! [X0,X1] :
      ( ~ sQ23_spl
      | subset_collections(f5(X0,X1),X1)
      | ~ element_of_collection(intersection_of_sets(f3(X0,X1),f4(X0,X1)),X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2624,f1425]) ).

fof(f2628,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ23_spl
      | ~ disjoint_s(X0,X1)
      | ~ equal_sets(union_of_sets(X0,X1),X2)
      | equal_sets(X1,empty_set)
      | equal_sets(X0,empty_set)
      | ~ topological_space(X2,X3)
      | separation(X0,X1,X2,X3) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2625,f1425]) ).

fof(f2629,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ50_spl
      | ~ sQ70_spl
      | element_of_set(X3,closure(X0,X1,X2))
      | open(relative_complement_sets(f14(X0,X1,X2,X3),X1),X1,X2) ),
    inference(resolution,[status(thm)],[f143,f2372]) ).

fof(f2631,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ50_spl
      | ~ sQ70_spl
      | ~ element_of_set(X4,relative_complement_sets(f14(X1,X2,X3,X0),X2))
      | neighborhood(relative_complement_sets(f14(X1,X2,X3,X0),X2),X4,X2,X3)
      | element_of_set(X0,closure(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2629,f2491]) ).

fof(f2635,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ8_spl
      | element_of_set(X2,f10(X3,union_of_members(top_of_basis(subspace_topology(X0,X1,X4))),X2))
      | topological_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1166,f1314]) ).

fof(f2636,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ23_spl
      | element_of_set(X2,X3)
      | subset_sets(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1584,f1425]) ).

fof(f2637,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ50_spl
      | ~ sQ70_spl
      | ~ sQ23_spl
      | neighborhood(relative_complement_sets(f14(X3,X4,X5,X2),X4),X6,X4,X5)
      | element_of_set(X2,closure(X3,X4,X5))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f2636,f2631]) ).

fof(f2638,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ50_spl
      | ~ sQ23_spl
      | ~ element_of_set(X2,closure(X3,X4,X5))
      | element_of_set(X2,boundary(X3,X4,X5))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f2636,f2178]) ).

fof(f2639,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ23_spl
      | eq_p(X6,X2)
      | ~ subset_sets(X3,X4)
      | ~ topological_space(X4,X5)
      | limit_point(X2,X3,X4,X5)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f2636,f210]) ).

fof(f2640,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ23_spl
      | element_of_set(X8,union_of_members(X5))
      | element_of_set(X2,intersection_of_members(subspace_topology(X3,subspace_topology(X4,X5,X6),X7)))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f2636,f1625]) ).

fof(f2641,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ23_spl
      | element_of_set(X6,union_of_members(X4))
      | element_of_set(X2,intersection_of_members(subspace_topology(X3,X4,X5)))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f2636,f1582]) ).

fof(f2642,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ23_spl
      | element_of_set(X4,union_of_members(X3))
      | element_of_set(X2,intersection_of_members(X3))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f2636,f289]) ).

fof(f2643,definition,
    ! [X2,X3,X4,X5,X6] :
      ( sQ77_spl
    <=> ( neighborhood(relative_complement_sets(f14(X3,X4,X5,X2),X4),X6,X4,X5)
        | element_of_set(X2,closure(X3,X4,X5)) ) ),
    introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).

fof(f2644,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ77_spl
      | neighborhood(relative_complement_sets(f14(X1,X2,X3,X0),X2),X4,X2,X3)
      | element_of_set(X0,closure(X1,X2,X3)) ),
    inference(component_clause,[status(thm)],[f2643]) ).

fof(f2646,plain,
    ( ~ sQ50_spl
    | ~ sQ70_spl
    | ~ sQ23_spl
    | sQ77_spl
    | sQ37_spl ),
    inference(split_clause,[status(thm)],[f2637,f1491,f2643,f1424,f2367,f2173]) ).

fof(f2647,definition,
    ! [X2,X3,X4,X5] :
      ( sQ78_spl
    <=> ( ~ element_of_set(X2,closure(X3,X4,X5))
        | element_of_set(X2,boundary(X3,X4,X5)) ) ),
    introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).

fof(f2648,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ78_spl
      | ~ element_of_set(X0,closure(X1,X2,X3))
      | element_of_set(X0,boundary(X1,X2,X3)) ),
    inference(component_clause,[status(thm)],[f2647]) ).

fof(f2650,plain,
    ( ~ sQ50_spl
    | ~ sQ23_spl
    | sQ78_spl
    | sQ37_spl ),
    inference(split_clause,[status(thm)],[f2638,f1491,f2647,f1424,f2173]) ).

fof(f2651,definition,
    ! [X2,X3,X4,X5,X6] :
      ( sQ79_spl
    <=> ( eq_p(X6,X2)
        | ~ subset_sets(X3,X4)
        | ~ topological_space(X4,X5)
        | limit_point(X2,X3,X4,X5) ) ),
    introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).

fof(f2652,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ79_spl
      | eq_p(X4,X0)
      | ~ subset_sets(X1,X2)
      | ~ topological_space(X2,X3)
      | limit_point(X0,X1,X2,X3) ),
    inference(component_clause,[status(thm)],[f2651]) ).

fof(f2654,plain,
    ( ~ sQ23_spl
    | sQ79_spl
    | sQ37_spl ),
    inference(split_clause,[status(thm)],[f2639,f1491,f2651,f1424]) ).

fof(f2655,definition,
    ! [X2,X3,X4,X5,X6,X7,X8] :
      ( sQ80_spl
    <=> ( element_of_set(X8,union_of_members(X5))
        | element_of_set(X2,intersection_of_members(subspace_topology(X3,subspace_topology(X4,X5,X6),X7))) ) ),
    introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).

fof(f2656,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ80_spl
      | element_of_set(X6,union_of_members(X3))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,subspace_topology(X2,X3,X4),X5))) ),
    inference(component_clause,[status(thm)],[f2655]) ).

fof(f2658,plain,
    ( ~ sQ23_spl
    | sQ80_spl
    | sQ37_spl ),
    inference(split_clause,[status(thm)],[f2640,f1491,f2655,f1424]) ).

fof(f2659,definition,
    ! [X2,X3,X4,X5,X6] :
      ( sQ81_spl
    <=> ( element_of_set(X6,union_of_members(X4))
        | element_of_set(X2,intersection_of_members(subspace_topology(X3,X4,X5))) ) ),
    introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).

fof(f2660,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ81_spl
      | element_of_set(X4,union_of_members(X2))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,X2,X3))) ),
    inference(component_clause,[status(thm)],[f2659]) ).

fof(f2662,plain,
    ( ~ sQ23_spl
    | sQ81_spl
    | sQ37_spl ),
    inference(split_clause,[status(thm)],[f2641,f1491,f2659,f1424]) ).

fof(f2663,definition,
    ! [X2,X3,X4] :
      ( sQ82_spl
    <=> ( element_of_set(X4,union_of_members(X3))
        | element_of_set(X2,intersection_of_members(X3)) ) ),
    introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).

fof(f2664,plain,
    ! [X0,X1,X2] :
      ( ~ sQ82_spl
      | element_of_set(X2,union_of_members(X1))
      | element_of_set(X0,intersection_of_members(X1)) ),
    inference(component_clause,[status(thm)],[f2663]) ).

fof(f2666,plain,
    ( ~ sQ23_spl
    | sQ82_spl
    | sQ37_spl ),
    inference(split_clause,[status(thm)],[f2642,f1491,f2663,f1424]) ).

fof(f2667,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ8_spl
      | element_of_collection(f10(X2,union_of_members(top_of_basis(subspace_topology(X0,X1,X3))),X4),X2)
      | topological_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1165,f1314]) ).

fof(f2668,plain,
    ! [X0,X1,X2,X3,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)
      | element_of_collection(intersection_of_sets(f16(X0,X1,X2,X3),X1),top_of_basis(X4)) ),
    inference(resolution,[status(thm)],[f165,f210]) ).

fof(f2669,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( element_of_set(f11(X6,f12(X0,X1,X2,f12(X3,subspace_topology(X0,X1,X2),X4,f2(subspace_topology(X3,subspace_topology(X0,X1,X2),X4),X5)))),union_of_members(X1))
      | element_of_set(X5,intersection_of_members(subspace_topology(X3,subspace_topology(X0,X1,X2),X4)))
      | element_of_collection(f12(X0,X1,X2,f12(X3,subspace_topology(X0,X1,X2),X4,f2(subspace_topology(X3,subspace_topology(X0,X1,X2),X4),X5))),top_of_basis(X6)) ),
    inference(resolution,[status(thm)],[f165,f1625]) ).

fof(f2670,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(f11(X4,f12(X0,X1,X2,f2(subspace_topology(X0,X1,X2),X3))),union_of_members(X1))
      | element_of_set(X3,intersection_of_members(subspace_topology(X0,X1,X2)))
      | element_of_collection(f12(X0,X1,X2,f2(subspace_topology(X0,X1,X2),X3)),top_of_basis(X4)) ),
    inference(resolution,[status(thm)],[f165,f1582]) ).

fof(f2671,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ51_spl
      | subset_sets(X1,f14(X1,X2,X3,X0))
      | ~ subset_sets(X1,X2)
      | element_of_set(X0,closure(X1,X2,X3)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f191,f2185]) ).

fof(f2672,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ51_spl
      | closed(f14(X1,X2,X3,X0),X2,X3)
      | ~ subset_sets(X1,X2)
      | element_of_set(X0,closure(X1,X2,X3)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f192,f2185]) ).

fof(f2673,plain,
    ! [X0,X1,X2,X3,X4] :
      ( topological_space(X2,X3)
      | element_of_set(f11(X1,intersection_of_members(top_of_basis(X0))),union_of_members(subspace_topology(X2,X3,X4)))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f291,f800]) ).

fof(f2674,plain,
    ! [X0,X1,X2,X3,X4] :
      ( subset_sets(X4,X2)
      | element_of_set(f11(X1,intersection_of_members(top_of_basis(X0))),union_of_members(subspace_topology(X2,X3,X4)))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f291,f876]) ).

fof(f2675,plain,
    ! [X0,X1,X2,X3,X4] :
      ( topological_space(X3,X4)
      | element_of_set(f11(X1,intersection_of_members(top_of_basis(X0))),boundary(X2,X3,X4))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f291,f1072]) ).

fof(f2676,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)],[f291,f900]) ).

fof(f2677,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)],[f291,f1071]) ).

fof(f2678,plain,
    ! [X0,X1,X2,X3,X4] :
      ( topological_space(X3,X4)
      | element_of_set(f11(X1,intersection_of_members(top_of_basis(X0))),interior(X2,X3,X4))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f291,f898]) ).

fof(f2679,plain,
    ! [X0,X1,X2,X3,X4] :
      ( subset_sets(X2,X3)
      | element_of_set(f11(X1,intersection_of_members(top_of_basis(X0))),interior(X2,X3,X4))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f291,f899]) ).

fof(f2680,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)],[f291,f119]) ).

fof(f2681,plain,
    ! [X0,X1] :
      ( ~ sQ75_spl
      | subset_collections(f5(X0,top_of_basis(top_of_basis(top_of_basis(top_of_basis(top_of_basis(X1)))))),top_of_basis(top_of_basis(top_of_basis(top_of_basis(top_of_basis(X1))))))
      | ~ element_of_collection(X0,top_of_basis(top_of_basis(top_of_basis(top_of_basis(top_of_basis(X1))))))
      | ~ element_of_collection(empty_set,top_of_basis(top_of_basis(top_of_basis(top_of_basis(top_of_basis(X1))))))
      | ~ equal_sets(union_of_members(top_of_basis(top_of_basis(top_of_basis(top_of_basis(top_of_basis(X1)))))),X0)
      | topological_space(X0,top_of_basis(top_of_basis(top_of_basis(top_of_basis(top_of_basis(X1)))))) ),
    inference(resolution,[status(thm)],[f2517,f133]) ).

fof(f2684,plain,
    ! [X0,X1,X2] :
      ( ~ sQ75_spl
      | element_of_set(f11(X1,intersection_of_members(top_of_basis(top_of_basis(top_of_basis(top_of_basis(top_of_basis(X0))))))),X2)
      | element_of_collection(intersection_of_members(top_of_basis(top_of_basis(top_of_basis(top_of_basis(top_of_basis(X0)))))),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f2517,f291]) ).

fof(f2685,plain,
    ! [X0,X1] :
      ( ~ sQ75_spl
      | subset_collections(f5(X0,top_of_basis(top_of_basis(top_of_basis(top_of_basis(top_of_basis(X1)))))),top_of_basis(top_of_basis(top_of_basis(top_of_basis(top_of_basis(X1))))))
      | ~ element_of_collection(X0,top_of_basis(top_of_basis(top_of_basis(top_of_basis(top_of_basis(X1))))))
      | ~ equal_sets(union_of_members(top_of_basis(top_of_basis(top_of_basis(top_of_basis(top_of_basis(X1)))))),X0)
      | topological_space(X0,top_of_basis(top_of_basis(top_of_basis(top_of_basis(top_of_basis(X1)))))) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2681,f2517]) ).

fof(f2686,plain,
    ! [X0,X1,X2,X3,X4] :
      ( topological_space(X2,X3)
      | ~ element_of_set(X0,union_of_members(subspace_topology(X2,X3,X4)))
      | element_of_set(X0,union_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f116,f800]) ).

fof(f2687,plain,
    ! [X0,X1,X2,X3,X4] :
      ( subset_sets(X4,X2)
      | ~ element_of_set(X0,union_of_members(subspace_topology(X2,X3,X4)))
      | element_of_set(X0,union_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f116,f876]) ).

fof(f2688,plain,
    ! [X0,X1,X2,X3,X4] :
      ( topological_space(X3,X4)
      | ~ element_of_set(X0,boundary(X2,X3,X4))
      | element_of_set(X0,union_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f116,f1072]) ).

fof(f2689,plain,
    ! [X0,X1,X2,X3,X4] :
      ( topological_space(X3,X4)
      | ~ element_of_set(X0,closure(X2,X3,X4))
      | element_of_set(X0,union_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f116,f900]) ).

fof(f2690,plain,
    ! [X0,X1,X2,X3,X4] :
      ( subset_sets(X2,X3)
      | ~ element_of_set(X0,closure(X2,X3,X4))
      | element_of_set(X0,union_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f116,f1071]) ).

fof(f2691,plain,
    ! [X0,X1,X2,X3,X4] :
      ( topological_space(X3,X4)
      | ~ element_of_set(X0,interior(X2,X3,X4))
      | element_of_set(X0,union_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f116,f898]) ).

fof(f2692,plain,
    ! [X0,X1,X2,X3,X4] :
      ( subset_sets(X2,X3)
      | ~ element_of_set(X0,interior(X2,X3,X4))
      | element_of_set(X0,union_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f116,f899]) ).

fof(f2694,plain,
    ! [X0,X1,X2] :
      ( ~ sQ75_spl
      | ~ element_of_set(X0,X2)
      | element_of_set(X0,union_of_members(top_of_basis(top_of_basis(top_of_basis(top_of_basis(top_of_basis(X1))))))) ),
    inference(resolution,[status(thm)],[f116,f2517]) ).

fof(f2695,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ78_spl
      | element_of_collection(closure(X1,X2,X3),top_of_basis(X0))
      | element_of_set(f11(X0,closure(X1,X2,X3)),boundary(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2648,f165]) ).

fof(f2696,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ51_spl
      | ~ sQ78_spl
      | topological_space(X2,X3)
      | element_of_set(X0,boundary(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2648,f2185]) ).

fof(f2697,plain,
    ! [X0,X1] :
      ( ~ sQ22_spl
      | subset_collections(f5(X0,X1),X1)
      | ~ element_of_collection(intersection_of_sets(f3(X0,X1),f4(X0,X1)),X1)
      | ~ element_of_collection(X0,X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f133,f1421]) ).

fof(f2698,plain,
    ! [X0,X1] :
      ( ~ sQ22_spl
      | subset_collections(f5(X0,X1),X1)
      | element_of_collection(f3(X0,X1),X1)
      | ~ element_of_collection(X0,X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f129,f1421]) ).

fof(f2699,plain,
    ! [X0,X1] :
      ( ~ sQ22_spl
      | ~ element_of_collection(union_of_members(f5(X0,X1)),X1)
      | element_of_collection(f3(X0,X1),X1)
      | ~ element_of_collection(X0,X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f130,f1421]) ).

fof(f2700,plain,
    ! [X0,X1] :
      ( ~ sQ22_spl
      | subset_collections(f5(X0,X1),X1)
      | element_of_collection(f4(X0,X1),X1)
      | ~ element_of_collection(X0,X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f131,f1421]) ).

fof(f2701,plain,
    ! [X0,X1] :
      ( ~ sQ22_spl
      | ~ element_of_collection(union_of_members(f5(X0,X1)),X1)
      | element_of_collection(f4(X0,X1),X1)
      | ~ element_of_collection(X0,X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f132,f1421]) ).

fof(f2702,plain,
    ! [X0,X1] :
      ( ~ sQ22_spl
      | ~ element_of_set(X0,empty_set)
      | element_of_set(X0,union_of_members(X1)) ),
    inference(resolution,[status(thm)],[f1421,f116]) ).

fof(f2703,plain,
    ! [X0,X1] :
      ( ~ sQ22_spl
      | element_of_set(f11(X1,intersection_of_members(X0)),empty_set)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f1421,f291]) ).

fof(f2705,plain,
    ! [X0,X1] :
      ( ~ sQ22_spl
      | element_of_collection(f10(X1,empty_set,X0),X1)
      | ~ element_of_set(X0,empty_set) ),
    inference(resolution,[status(thm)],[f163,f1421]) ).

fof(f2706,plain,
    ! [X0,X1,X2,X3,X4] :
      ( topological_space(X1,X2)
      | element_of_collection(f10(X4,union_of_members(subspace_topology(X1,X2,X3)),X0),X4)
      | ~ element_of_set(X0,union_of_members(subspace_topology(X1,X2,X3))) ),
    inference(resolution,[status(thm)],[f163,f800]) ).

fof(f2707,plain,
    ! [X0,X1,X2,X3,X4] :
      ( subset_sets(X3,X1)
      | element_of_collection(f10(X4,union_of_members(subspace_topology(X1,X2,X3)),X0),X4)
      | ~ element_of_set(X0,union_of_members(subspace_topology(X1,X2,X3))) ),
    inference(resolution,[status(thm)],[f163,f876]) ).

fof(f2708,plain,
    ! [X0,X1,X2,X3,X4] :
      ( topological_space(X2,X3)
      | element_of_collection(f10(X4,boundary(X1,X2,X3),X0),X4)
      | ~ element_of_set(X0,boundary(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f163,f1072]) ).

fof(f2709,plain,
    ! [X0,X1,X2,X3,X4] :
      ( topological_space(X2,X3)
      | element_of_collection(f10(X4,closure(X1,X2,X3),X0),X4)
      | ~ element_of_set(X0,closure(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f163,f900]) ).

fof(f2710,plain,
    ! [X0,X1,X2,X3,X4] :
      ( subset_sets(X1,X2)
      | element_of_collection(f10(X4,closure(X1,X2,X3),X0),X4)
      | ~ element_of_set(X0,closure(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f163,f1071]) ).

fof(f2711,plain,
    ! [X0,X1,X2,X3,X4] :
      ( topological_space(X2,X3)
      | element_of_collection(f10(X4,interior(X1,X2,X3),X0),X4)
      | ~ element_of_set(X0,interior(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f163,f898]) ).

fof(f2712,plain,
    ! [X0,X1,X2,X3,X4] :
      ( subset_sets(X1,X2)
      | element_of_collection(f10(X4,interior(X1,X2,X3),X0),X4)
      | ~ element_of_set(X0,interior(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f163,f899]) ).

fof(f2713,plain,
    ! [X0,X1,X2] :
      ( element_of_set(X2,intersection_of_members(top_of_basis(X1)))
      | element_of_collection(f10(X1,f2(top_of_basis(X1),X2),X0),X1)
      | ~ element_of_set(X0,f2(top_of_basis(X1),X2)) ),
    inference(resolution,[status(thm)],[f163,f119]) ).

fof(f2714,plain,
    ! [X0,X1,X2] :
      ( ~ sQ75_spl
      | element_of_collection(f10(top_of_basis(top_of_basis(top_of_basis(top_of_basis(X2)))),X1,X0),top_of_basis(top_of_basis(top_of_basis(top_of_basis(X2)))))
      | ~ element_of_set(X0,X1) ),
    inference(resolution,[status(thm)],[f163,f2517]) ).

fof(f2715,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ53_spl
      | topological_space(X1,X2)
      | element_of_collection(f10(X0,union_of_members(subspace_topology(X1,X2,X3)),X4),X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2706,f2204]) ).

fof(f2716,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | subset_sets(X3,X1)
      | element_of_collection(f10(X0,union_of_members(subspace_topology(X1,X2,X3)),X4),X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2707,f2380]) ).

fof(f2717,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ51_spl
      | topological_space(X2,X3)
      | element_of_collection(f10(X0,closure(X1,X2,X3),X4),X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2709,f2185]) ).

fof(f2718,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ52_spl
      | topological_space(X2,X3)
      | element_of_collection(f10(X0,interior(X1,X2,X3),X4),X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2711,f2193]) ).

fof(f2719,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ69_spl
      | subset_sets(X1,X2)
      | element_of_collection(f10(X0,interior(X1,X2,X3),X4),X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2712,f2359]) ).

fof(f2720,plain,
    ! [X0,X1] :
      ( element_of_collection(union_of_members(X0),top_of_basis(X1))
      | element_of_collection(f1(X0,f11(X1,union_of_members(X0))),X0) ),
    inference(resolution,[status(thm)],[f114,f165]) ).

fof(f2721,plain,
    ! [X0,X1] :
      ( ~ sQ8_spl
      | element_of_collection(f1(top_of_basis(X0),X1),top_of_basis(X0)) ),
    inference(resolution,[status(thm)],[f114,f1314]) ).

fof(f2722,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ73_spl
      | subset_sets(X3,X1)
      | element_of_collection(f1(subspace_topology(X0,subspace_topology(X1,X2,X3),X4),X5),subspace_topology(X0,subspace_topology(X1,X2,X3),X4)) ),
    inference(resolution,[status(thm)],[f114,f2396]) ).

fof(f2723,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ72_spl
      | topological_space(X1,X2)
      | element_of_collection(f1(subspace_topology(X0,subspace_topology(X1,X2,X3),X4),X5),subspace_topology(X0,subspace_topology(X1,X2,X3),X4)) ),
    inference(resolution,[status(thm)],[f114,f2388]) ).

fof(f2724,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | subset_sets(X2,X0)
      | element_of_collection(f1(subspace_topology(X0,X1,X2),X3),subspace_topology(X0,X1,X2)) ),
    inference(resolution,[status(thm)],[f114,f2380]) ).

fof(f2725,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ53_spl
      | topological_space(X0,X1)
      | element_of_collection(f1(subspace_topology(X0,X1,X2),X3),subspace_topology(X0,X1,X2)) ),
    inference(resolution,[status(thm)],[f114,f2204]) ).

fof(f2726,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ81_spl
      | element_of_set(X2,intersection_of_members(subspace_topology(X3,X0,X4)))
      | element_of_collection(f1(X0,X1),X0) ),
    inference(resolution,[status(thm)],[f114,f2660]) ).

fof(f2727,plain,
    ! [X0,X1,X2] :
      ( ~ sQ82_spl
      | element_of_set(X2,intersection_of_members(X0))
      | element_of_collection(f1(X0,X1),X0) ),
    inference(resolution,[status(thm)],[f114,f2664]) ).

fof(f2728,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(interior(X0,X1,X2),top_of_basis(X3))
      | ~ subset_sets(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),interior(X0,X1,X2))
      | ~ element_of_collection(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X3)
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3)) ),
    inference(resolution,[status(thm)],[f167,f2165]) ).

fof(f2729,plain,
    ! [X0,X1] :
      ( element_of_collection(X0,top_of_basis(X1))
      | ~ subset_sets(X0,X0)
      | ~ element_of_collection(X0,X1)
      | element_of_collection(X0,top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f167,f165]) ).

fof(f2730,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ51_spl
      | topological_space(X3,X4)
      | ~ subset_sets(closure(X2,X3,X4),X0)
      | ~ element_of_collection(closure(X2,X3,X4),X1)
      | element_of_collection(X0,top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f167,f2185]) ).

fof(f2731,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ8_spl
      | topological_space(X3,X4)
      | ~ subset_sets(f10(X2,union_of_members(top_of_basis(subspace_topology(X3,X4,X5))),f11(X1,X0)),X0)
      | ~ element_of_collection(f10(X2,union_of_members(top_of_basis(subspace_topology(X3,X4,X5))),f11(X1,X0)),X1)
      | element_of_collection(X0,top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f167,f2635]) ).

fof(f2732,plain,
    ! [X0,X1,X2] :
      ( ~ sQ8_spl
      | ~ subset_sets(f1(top_of_basis(X2),f11(X1,X0)),X0)
      | ~ element_of_collection(f1(top_of_basis(X2),f11(X1,X0)),X1)
      | element_of_collection(X0,top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f167,f1661]) ).

fof(f2733,plain,
    ! [X0,X1,X2] :
      ( ~ sQ8_spl
      | ~ subset_sets(union_of_members(top_of_basis(X2)),X0)
      | ~ element_of_collection(union_of_members(top_of_basis(X2)),X1)
      | element_of_collection(X0,top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f167,f1314]) ).

fof(f2734,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ73_spl
      | subset_sets(X5,X3)
      | ~ subset_sets(union_of_members(subspace_topology(X2,subspace_topology(X3,X4,X5),X6)),X0)
      | ~ element_of_collection(union_of_members(subspace_topology(X2,subspace_topology(X3,X4,X5),X6)),X1)
      | element_of_collection(X0,top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f167,f2396]) ).

fof(f2735,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ72_spl
      | topological_space(X3,X4)
      | ~ subset_sets(union_of_members(subspace_topology(X2,subspace_topology(X3,X4,X5),X6)),X0)
      | ~ element_of_collection(union_of_members(subspace_topology(X2,subspace_topology(X3,X4,X5),X6)),X1)
      | element_of_collection(X0,top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f167,f2388]) ).

fof(f2736,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | subset_sets(X4,X2)
      | ~ subset_sets(union_of_members(subspace_topology(X2,X3,X4)),X0)
      | ~ element_of_collection(union_of_members(subspace_topology(X2,X3,X4)),X1)
      | element_of_collection(X0,top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f167,f2380]) ).

fof(f2737,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ53_spl
      | topological_space(X2,X3)
      | ~ subset_sets(union_of_members(subspace_topology(X2,X3,X4)),X0)
      | ~ element_of_collection(union_of_members(subspace_topology(X2,X3,X4)),X1)
      | element_of_collection(X0,top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f167,f2204]) ).

fof(f2738,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ81_spl
      | element_of_set(X3,intersection_of_members(subspace_topology(X4,X2,X5)))
      | ~ subset_sets(union_of_members(X2),X0)
      | ~ element_of_collection(union_of_members(X2),X1)
      | element_of_collection(X0,top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f167,f2660]) ).

fof(f2739,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ82_spl
      | element_of_set(X3,intersection_of_members(X2))
      | ~ subset_sets(union_of_members(X2),X0)
      | ~ element_of_collection(union_of_members(X2),X1)
      | element_of_collection(X0,top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f167,f2664]) ).

fof(f2740,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ58_spl
      | topological_space(X2,X3)
      | ~ subset_sets(intersection_of_members(top_of_basis(top_of_basis(subspace_topology(X2,X3,X4)))),X0)
      | ~ element_of_collection(intersection_of_members(top_of_basis(top_of_basis(subspace_topology(X2,X3,X4)))),X1)
      | element_of_collection(X0,top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f167,f2277]) ).

fof(f2741,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ67_spl
      | subset_sets(X4,X2)
      | ~ subset_sets(intersection_of_members(top_of_basis(subspace_topology(X2,X3,X4))),X0)
      | ~ element_of_collection(intersection_of_members(top_of_basis(subspace_topology(X2,X3,X4))),X1)
      | element_of_collection(X0,top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f167,f2328]) ).

fof(f2742,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ54_spl
      | topological_space(X2,X3)
      | ~ subset_sets(intersection_of_members(top_of_basis(subspace_topology(X2,X3,X4))),X0)
      | ~ element_of_collection(intersection_of_members(top_of_basis(subspace_topology(X2,X3,X4))),X1)
      | element_of_collection(X0,top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f167,f2245]) ).

fof(f2743,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( subset_sets(X5,X3)
      | ~ subset_sets(intersection_of_members(subspace_topology(X2,subspace_topology(X3,X4,X5),X6)),X0)
      | ~ element_of_collection(intersection_of_members(subspace_topology(X2,subspace_topology(X3,X4,X5),X6)),X1)
      | element_of_collection(X0,top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f167,f1576]) ).

fof(f2744,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( topological_space(X3,X4)
      | ~ subset_sets(intersection_of_members(subspace_topology(X2,subspace_topology(X3,X4,X5),X6)),X0)
      | ~ element_of_collection(intersection_of_members(subspace_topology(X2,subspace_topology(X3,X4,X5),X6)),X1)
      | element_of_collection(X0,top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f167,f1577]) ).

fof(f2745,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ81_spl
      | element_of_set(X5,union_of_members(X3))
      | ~ subset_sets(intersection_of_members(subspace_topology(X2,X3,X4)),X0)
      | ~ element_of_collection(intersection_of_members(subspace_topology(X2,X3,X4)),X1)
      | element_of_collection(X0,top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f167,f2660]) ).

fof(f2746,plain,
    ! [X0,X1,X2,X3,X4] :
      ( subset_sets(X4,X2)
      | ~ subset_sets(intersection_of_members(subspace_topology(X2,X3,X4)),X0)
      | ~ element_of_collection(intersection_of_members(subspace_topology(X2,X3,X4)),X1)
      | element_of_collection(X0,top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f167,f897]) ).

fof(f2747,plain,
    ! [X0,X1,X2,X3,X4] :
      ( topological_space(X2,X3)
      | ~ subset_sets(intersection_of_members(subspace_topology(X2,X3,X4)),X0)
      | ~ element_of_collection(intersection_of_members(subspace_topology(X2,X3,X4)),X1)
      | element_of_collection(X0,top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f167,f821]) ).

fof(f2748,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ82_spl
      | element_of_set(X3,union_of_members(X2))
      | ~ subset_sets(intersection_of_members(X2),X0)
      | ~ element_of_collection(intersection_of_members(X2),X1)
      | element_of_collection(X0,top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f167,f2664]) ).

fof(f2749,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ69_spl
      | subset_sets(X2,X3)
      | ~ subset_sets(f13(X2,X3,X4,f11(X1,X0)),X0)
      | ~ element_of_collection(f13(X2,X3,X4,f11(X1,X0)),X1)
      | element_of_collection(X0,top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f167,f2363]) ).

fof(f2750,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ52_spl
      | topological_space(X3,X4)
      | ~ subset_sets(f13(X2,X3,X4,f11(X1,X0)),X0)
      | ~ element_of_collection(f13(X2,X3,X4,f11(X1,X0)),X1)
      | element_of_collection(X0,top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f167,f2197]) ).

fof(f2751,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ69_spl
      | subset_sets(X2,X3)
      | ~ subset_sets(interior(X2,X3,X4),X0)
      | ~ element_of_collection(interior(X2,X3,X4),X1)
      | element_of_collection(X0,top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f167,f2359]) ).

fof(f2752,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ52_spl
      | topological_space(X3,X4)
      | ~ subset_sets(interior(X2,X3,X4),X0)
      | ~ element_of_collection(interior(X2,X3,X4),X1)
      | element_of_collection(X0,top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f167,f2193]) ).

fof(f2753,plain,
    ! [X0,X1,X2,X3] :
      ( ~ subset_sets(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),interior(X0,X1,X2))
      | ~ element_of_collection(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X3)
      | element_of_collection(interior(X0,X1,X2),top_of_basis(X3)) ),
    inference(duplicate_literals_removal,[status(thm)],[f2728]) ).

fof(f2754,plain,
    ! [X0,X1] :
      ( ~ subset_sets(X0,X0)
      | ~ element_of_collection(X0,X1)
      | element_of_collection(X0,top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f2729]) ).

fof(f2755,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ51_spl
      | ~ sQ78_spl
      | ~ subset_sets(boundary(X4,X0,X1),X2)
      | ~ element_of_collection(boundary(X4,X0,X1),X3)
      | element_of_collection(X2,top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f2696,f167]) ).

fof(f2756,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ82_spl
      | element_of_collection(f10(X1,f1(top_of_basis(X1),X3),X2),X1)
      | ~ element_of_set(X2,f1(top_of_basis(X1),X3))
      | element_of_set(X0,intersection_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f2727,f163]) ).

fof(f2758,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ82_spl
      | element_of_set(f11(X2,intersection_of_members(X1)),f1(X1,X3))
      | element_of_collection(intersection_of_members(X1),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(X1)) ),
    inference(resolution,[status(thm)],[f2727,f291]) ).

fof(f2759,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ82_spl
      | ~ subset_sets(intersection_of_members(X0),X2)
      | ~ element_of_collection(intersection_of_members(X0),X3)
      | element_of_collection(X2,top_of_basis(X3))
      | element_of_collection(f1(X0,X1),X0) ),
    inference(resolution,[status(thm)],[f2727,f167]) ).

fof(f2760,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ51_spl
      | element_of_collection(f10(X3,f10(top_of_basis(X3),closure(X4,X0,X1),X5),X2),X3)
      | ~ element_of_set(X2,f10(top_of_basis(X3),closure(X4,X0,X1),X5))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f2717,f163]) ).

fof(f2761,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ51_spl
      | ~ element_of_set(X2,f10(X3,closure(X4,X0,X1),X5))
      | element_of_set(X2,union_of_members(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f2717,f116]) ).

fof(f2762,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ51_spl
      | element_of_set(f11(X3,intersection_of_members(X2)),f10(X2,closure(X4,X0,X1),X5))
      | element_of_collection(intersection_of_members(X2),top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f2717,f291]) ).

fof(f2763,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ52_spl
      | element_of_collection(f10(X3,f10(top_of_basis(X3),interior(X4,X0,X1),X5),X2),X3)
      | ~ element_of_set(X2,f10(top_of_basis(X3),interior(X4,X0,X1),X5))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f2718,f163]) ).

fof(f2764,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ52_spl
      | ~ element_of_set(X2,f10(X3,interior(X4,X0,X1),X5))
      | element_of_set(X2,union_of_members(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f2718,f116]) ).

fof(f2765,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ52_spl
      | element_of_set(f11(X3,intersection_of_members(X2)),f10(X2,interior(X4,X0,X1),X5))
      | element_of_collection(intersection_of_members(X2),top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f2718,f291]) ).

fof(f2766,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ69_spl
      | element_of_collection(f10(X3,f10(top_of_basis(X3),interior(X0,X1,X4),X5),X2),X3)
      | ~ element_of_set(X2,f10(top_of_basis(X3),interior(X0,X1,X4),X5))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f2719,f163]) ).

fof(f2767,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ69_spl
      | ~ element_of_set(X2,f10(X3,interior(X0,X1,X4),X5))
      | element_of_set(X2,union_of_members(X3))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f2719,f116]) ).

fof(f2768,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ69_spl
      | element_of_set(f11(X3,intersection_of_members(X2)),f10(X2,interior(X0,X1,X4),X5))
      | element_of_collection(intersection_of_members(X2),top_of_basis(X3))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f2719,f291]) ).

fof(f2769,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ81_spl
      | element_of_collection(f10(X2,f1(top_of_basis(X2),X5),X4),X2)
      | ~ element_of_set(X4,f1(top_of_basis(X2),X5))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,top_of_basis(X2),X3))) ),
    inference(resolution,[status(thm)],[f2726,f163]) ).

fof(f2771,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ81_spl
      | element_of_set(f11(X4,intersection_of_members(X2)),f1(X2,X5))
      | element_of_collection(intersection_of_members(X2),top_of_basis(X4))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,X2,X3))) ),
    inference(resolution,[status(thm)],[f2726,f291]) ).

fof(f2772,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ81_spl
      | ~ subset_sets(intersection_of_members(subspace_topology(X4,X0,X5)),X2)
      | ~ element_of_collection(intersection_of_members(subspace_topology(X4,X0,X5)),X3)
      | element_of_collection(X2,top_of_basis(X3))
      | element_of_collection(f1(X0,X1),X0) ),
    inference(resolution,[status(thm)],[f2726,f167]) ).

fof(f2773,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f10(X4,union_of_members(top_of_basis(subspace_topology(X1,X3,X0))),X2),X4)
      | ~ element_of_set(X2,union_of_members(top_of_basis(subspace_topology(X1,X3,X0))))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f875,f163]) ).

fof(f2774,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ element_of_set(X2,union_of_members(top_of_basis(subspace_topology(X1,X4,X0))))
      | element_of_set(X2,union_of_members(top_of_basis(X3)))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f875,f116]) ).

fof(f2775,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(f11(X3,intersection_of_members(top_of_basis(X2))),union_of_members(top_of_basis(subspace_topology(X1,X4,X0))))
      | element_of_collection(intersection_of_members(top_of_basis(X2)),top_of_basis(X3))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f875,f291]) ).

fof(f2776,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ8_spl
      | element_of_collection(f10(X2,union_of_members(top_of_basis(subspace_topology(X1,X3,X0))),X4),X2)
      | subset_sets(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2773,f1314]) ).

fof(f2777,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f10(X4,union_of_members(top_of_basis(subspace_topology(X0,X1,X3))),X2),X4)
      | ~ element_of_set(X2,union_of_members(top_of_basis(subspace_topology(X0,X1,X3))))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f799,f163]) ).

fof(f2778,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ element_of_set(X2,union_of_members(top_of_basis(subspace_topology(X0,X1,X4))))
      | element_of_set(X2,union_of_members(top_of_basis(X3)))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f799,f116]) ).

fof(f2779,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(f11(X3,intersection_of_members(top_of_basis(X2))),union_of_members(top_of_basis(subspace_topology(X0,X1,X4))))
      | element_of_collection(intersection_of_members(top_of_basis(X2)),top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f799,f291]) ).

fof(f2781,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f1(X0,f11(X1,union_of_members(X0))),top_of_basis(X2))
      | element_of_set(f11(X2,f1(X0,f11(X1,union_of_members(X0)))),union_of_members(X0))
      | element_of_collection(union_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f344,f165]) ).

fof(f2783,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(union_of_members(X0),f1(X0,f11(X1,union_of_members(X0))))
      | ~ element_of_collection(union_of_members(X0),X2)
      | 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))
      | element_of_collection(f1(X0,f11(X1,union_of_members(X0))),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f2593,f167]) ).

fof(f2784,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f1(X0,f11(X2,f1(X0,f11(X1,union_of_members(X0))))),X0)
      | element_of_collection(union_of_members(X0),top_of_basis(X1))
      | element_of_collection(f1(X0,f11(X1,union_of_members(X0))),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f2593,f114]) ).

fof(f2785,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(union_of_members(X0),f1(X0,f11(X1,union_of_members(X0))))
      | ~ element_of_collection(union_of_members(X0),X2)
      | element_of_collection(union_of_members(X0),top_of_basis(X1))
      | element_of_collection(f1(X0,f11(X1,union_of_members(X0))),top_of_basis(X2)) ),
    inference(duplicate_literals_removal,[status(thm)],[f2783]) ).

fof(f2786,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ53_spl
      | element_of_collection(f10(X3,f10(top_of_basis(X3),union_of_members(subspace_topology(X0,X1,X4)),X5),X2),X3)
      | ~ element_of_set(X2,f10(top_of_basis(X3),union_of_members(subspace_topology(X0,X1,X4)),X5))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f2715,f163]) ).

fof(f2787,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ53_spl
      | ~ element_of_set(X2,f10(X3,union_of_members(subspace_topology(X0,X1,X4)),X5))
      | element_of_set(X2,union_of_members(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f2715,f116]) ).

fof(f2788,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ53_spl
      | element_of_set(f11(X3,intersection_of_members(X2)),f10(X2,union_of_members(subspace_topology(X0,X1,X4)),X5))
      | element_of_collection(intersection_of_members(X2),top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f2715,f291]) ).

fof(f2789,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ71_spl
      | element_of_collection(f10(X3,f10(top_of_basis(X3),union_of_members(subspace_topology(X1,X4,X0)),X5),X2),X3)
      | ~ element_of_set(X2,f10(top_of_basis(X3),union_of_members(subspace_topology(X1,X4,X0)),X5))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f2716,f163]) ).

fof(f2790,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ71_spl
      | ~ element_of_set(X2,f10(X3,union_of_members(subspace_topology(X1,X4,X0)),X5))
      | element_of_set(X2,union_of_members(X3))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f2716,f116]) ).

fof(f2791,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ71_spl
      | element_of_set(f11(X3,intersection_of_members(X2)),f10(X2,union_of_members(subspace_topology(X1,X4,X0)),X5))
      | element_of_collection(intersection_of_members(X2),top_of_basis(X3))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f2716,f291]) ).

fof(f2793,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ71_spl
      | element_of_set(f11(X3,intersection_of_members(subspace_topology(X1,X2,X0))),f1(subspace_topology(X1,X2,X0),X4))
      | element_of_collection(intersection_of_members(subspace_topology(X1,X2,X0)),top_of_basis(X3))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f2724,f291]) ).

fof(f2795,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ53_spl
      | element_of_set(f11(X3,intersection_of_members(subspace_topology(X0,X1,X2))),f1(subspace_topology(X0,X1,X2),X4))
      | element_of_collection(intersection_of_members(subspace_topology(X0,X1,X2)),top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f2725,f291]) ).

fof(f2796,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ80_spl
      | ~ subset_sets(intersection_of_members(subspace_topology(X4,subspace_topology(X5,X1,X6),X7)),X2)
      | ~ element_of_collection(intersection_of_members(subspace_topology(X4,subspace_topology(X5,X1,X6),X7)),X3)
      | element_of_collection(X2,top_of_basis(X3))
      | element_of_set(X0,union_of_members(X1)) ),
    inference(resolution,[status(thm)],[f2656,f167]) ).

fof(f2797,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ80_spl
      | ~ subset_sets(union_of_members(X3),X6)
      | ~ element_of_collection(union_of_members(X3),X7)
      | element_of_collection(X6,top_of_basis(X7))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,subspace_topology(X2,X3,X4),X5))) ),
    inference(resolution,[status(thm)],[f2656,f167]) ).

fof(f2798,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ80_spl
      | element_of_collection(f1(X3,X6),X3)
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,subspace_topology(X2,X3,X4),X5))) ),
    inference(resolution,[status(thm)],[f2656,f114]) ).

fof(f2799,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ8_spl
      | element_of_collection(f10(X3,f10(top_of_basis(X3),union_of_members(top_of_basis(subspace_topology(X0,X1,X4))),X5),X2),X3)
      | ~ element_of_set(X2,f10(top_of_basis(X3),union_of_members(top_of_basis(subspace_topology(X0,X1,X4))),X5))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f2667,f163]) ).

fof(f2800,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ8_spl
      | ~ element_of_set(X2,f10(X3,union_of_members(top_of_basis(subspace_topology(X0,X1,X4))),X5))
      | element_of_set(X2,union_of_members(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f2667,f116]) ).

fof(f2801,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ8_spl
      | element_of_set(f11(X3,intersection_of_members(X2)),f10(X2,union_of_members(top_of_basis(subspace_topology(X0,X1,X4))),X5))
      | element_of_collection(intersection_of_members(X2),top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f2667,f291]) ).

fof(f2802,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ8_spl
      | element_of_collection(f10(X3,f10(top_of_basis(X3),union_of_members(top_of_basis(subspace_topology(X1,X4,X0))),X5),X2),X3)
      | ~ element_of_set(X2,f10(top_of_basis(X3),union_of_members(top_of_basis(subspace_topology(X1,X4,X0))),X5))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f2776,f163]) ).

fof(f2803,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ8_spl
      | ~ element_of_set(X2,f10(X3,union_of_members(top_of_basis(subspace_topology(X1,X4,X0))),X5))
      | element_of_set(X2,union_of_members(X3))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f2776,f116]) ).

fof(f2804,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ8_spl
      | element_of_set(f11(X3,intersection_of_members(X2)),f10(X2,union_of_members(top_of_basis(subspace_topology(X1,X4,X0))),X5))
      | element_of_collection(intersection_of_members(X2),top_of_basis(X3))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f2776,f291]) ).

fof(f2805,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ80_spl
      | ~ subset_sets(intersection_of_members(subspace_topology(X4,subspace_topology(X5,X0,X6),X7)),X2)
      | ~ element_of_collection(intersection_of_members(subspace_topology(X4,subspace_topology(X5,X0,X6),X7)),X3)
      | element_of_collection(X2,top_of_basis(X3))
      | element_of_collection(f1(X0,X1),X0) ),
    inference(resolution,[status(thm)],[f2798,f167]) ).

fof(f2806,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ80_spl
      | element_of_collection(f10(X3,f1(top_of_basis(X3),X7),X6),X3)
      | ~ element_of_set(X6,f1(top_of_basis(X3),X7))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,subspace_topology(X2,top_of_basis(X3),X4),X5))) ),
    inference(resolution,[status(thm)],[f2798,f163]) ).

fof(f2808,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ80_spl
      | element_of_set(f11(X6,intersection_of_members(X3)),f1(X3,X7))
      | element_of_collection(intersection_of_members(X3),top_of_basis(X6))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,subspace_topology(X2,X3,X4),X5))) ),
    inference(resolution,[status(thm)],[f2798,f291]) ).

fof(f2809,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ77_spl
      | element_of_set(X4,relative_complement_sets(f14(X1,X2,X3,X0),X2))
      | element_of_set(X0,closure(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2644,f199]) ).

fof(f2810,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ77_spl
      | open(relative_complement_sets(f14(X1,X2,X3,X0),X2),X2,X3)
      | element_of_set(X0,closure(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2644,f197]) ).

fof(f2811,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ77_spl
      | topological_space(X2,X3)
      | element_of_set(X0,closure(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2644,f195]) ).

fof(f2812,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ77_spl
      | ~ subset_sets(relative_complement_sets(f14(X1,X2,X3,X0),X2),X4)
      | ~ element_of_collection(relative_complement_sets(f14(X1,X2,X3,X0),X2),X5)
      | element_of_collection(X4,top_of_basis(X5))
      | element_of_set(X0,closure(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2809,f167]) ).

fof(f2813,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ77_spl
      | closed(f14(X1,X2,X3,X0),X2,X3)
      | element_of_set(X0,closure(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2810,f417]) ).

fof(f2814,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ77_spl
      | element_of_collection(relative_complement_sets(f14(X1,X2,X3,X0),X2),X3)
      | element_of_set(X0,closure(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2810,f138]) ).

fof(f2816,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ77_spl
      | topological_space(X2,X3)
      | element_of_set(X0,closure(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2810,f136]) ).

fof(f2818,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ77_spl
      | topological_space(X2,X3)
      | element_of_set(X0,closure(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2813,f142]) ).

fof(f2819,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ77_spl
      | element_of_collection(f10(X3,relative_complement_sets(f14(X1,X2,top_of_basis(X3),X0),X2),X4),X3)
      | ~ element_of_set(X4,relative_complement_sets(f14(X1,X2,top_of_basis(X3),X0),X2))
      | element_of_set(X0,closure(X1,X2,top_of_basis(X3))) ),
    inference(resolution,[status(thm)],[f2814,f163]) ).

fof(f2820,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ77_spl
      | ~ element_of_set(X4,relative_complement_sets(f14(X1,X2,X3,X0),X2))
      | element_of_set(X4,union_of_members(X3))
      | element_of_set(X0,closure(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2814,f116]) ).

fof(f2822,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ77_spl
      | element_of_collection(f10(X3,relative_complement_sets(f14(X1,X2,top_of_basis(X3),X0),X2),X4),X3)
      | element_of_set(X0,closure(X1,X2,top_of_basis(X3))) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2819,f2809]) ).

fof(f2823,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ77_spl
      | element_of_set(X4,union_of_members(X3))
      | element_of_set(X0,closure(X1,X2,X3)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2820,f2809]) ).

fof(f2824,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ77_spl
      | ~ subset_sets(closure(X4,X5,X1),X2)
      | ~ element_of_collection(closure(X4,X5,X1),X3)
      | element_of_collection(X2,top_of_basis(X3))
      | element_of_set(X0,union_of_members(X1)) ),
    inference(resolution,[status(thm)],[f2823,f167]) ).

fof(f2825,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ78_spl
      | ~ sQ77_spl
      | element_of_set(X2,boundary(X3,X4,X1))
      | element_of_set(X0,union_of_members(X1)) ),
    inference(resolution,[status(thm)],[f2823,f2648]) ).

fof(f2826,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ77_spl
      | ~ subset_sets(union_of_members(X3),X4)
      | ~ element_of_collection(union_of_members(X3),X5)
      | element_of_collection(X4,top_of_basis(X5))
      | element_of_set(X0,closure(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2823,f167]) ).

fof(f2827,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ77_spl
      | element_of_collection(f1(X3,X4),X3)
      | element_of_set(X0,closure(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2823,f114]) ).

fof(f2828,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ78_spl
      | ~ sQ77_spl
      | ~ subset_sets(union_of_members(X3),X4)
      | ~ element_of_collection(union_of_members(X3),X5)
      | element_of_collection(X4,top_of_basis(X5))
      | element_of_set(X0,boundary(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2825,f167]) ).

fof(f2829,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ78_spl
      | ~ sQ77_spl
      | element_of_collection(f1(X3,X4),X3)
      | element_of_set(X0,boundary(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2825,f114]) ).

fof(f2830,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ78_spl
      | ~ sQ77_spl
      | ~ subset_sets(boundary(X4,X5,X1),X2)
      | ~ element_of_collection(boundary(X4,X5,X1),X3)
      | element_of_collection(X2,top_of_basis(X3))
      | element_of_set(X0,union_of_members(X1)) ),
    inference(resolution,[status(thm)],[f2825,f167]) ).

fof(f2831,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(f1(X0,f11(X2,f2(X0,X1))),f2(X0,X1))
      | ~ element_of_collection(f1(X0,f11(X2,f2(X0,X1))),X2)
      | element_of_collection(f2(X0,X1),top_of_basis(X2))
      | element_of_set(X1,intersection_of_members(X0))
      | element_of_collection(f2(X0,X1),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f295,f167]) ).

fof(f2832,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(f1(X0,f11(X2,f2(X0,X1))),f2(X0,X1))
      | ~ element_of_collection(f1(X0,f11(X2,f2(X0,X1))),X2)
      | element_of_set(X1,intersection_of_members(X0))
      | element_of_collection(f2(X0,X1),top_of_basis(X2)) ),
    inference(duplicate_literals_removal,[status(thm)],[f2831]) ).

fof(f2833,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_collection(f10(X3,union_of_members(X0),X2),X3)
      | ~ element_of_set(X2,union_of_members(X0))
      | element_of_set(f11(X1,intersection_of_members(X0)),union_of_members(X0))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f392,f163]) ).

fof(f2834,plain,
    ! [X0,X1,X2,X3] :
      ( ~ element_of_set(X2,union_of_members(X0))
      | element_of_set(X2,union_of_members(top_of_basis(X3)))
      | element_of_set(f11(X1,intersection_of_members(X0)),union_of_members(X0))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f392,f116]) ).

fof(f2835,plain,
    ! [X0,X1,X2,X3] :
      ( element_of_set(f11(X3,intersection_of_members(top_of_basis(X2))),union_of_members(X0))
      | element_of_collection(intersection_of_members(top_of_basis(X2)),top_of_basis(X3))
      | element_of_set(f11(X1,intersection_of_members(X0)),union_of_members(X0))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f392,f291]) ).

fof(f2836,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(union_of_members(X0),intersection_of_members(X0))
      | ~ element_of_collection(union_of_members(X0),X1)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1))
      | 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)],[f392,f167]) ).

fof(f2837,plain,
    ! [X0,X1,X2] :
      ( element_of_collection(f1(X0,f11(X1,intersection_of_members(X0))),X0)
      | element_of_collection(union_of_members(X0),top_of_basis(X2))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f392,f114]) ).

fof(f2838,plain,
    ! [X0,X1,X2] :
      ( ~ subset_sets(union_of_members(X0),intersection_of_members(X0))
      | ~ element_of_collection(union_of_members(X0),X1)
      | 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)],[f2836]) ).

fof(f2839,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,union_of_members(subspace_topology(X0,X1,X2))))),top_of_basis(X4))
      | element_of_set(f11(X4,f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,union_of_members(subspace_topology(X0,X1,X2)))))),union_of_members(X1))
      | element_of_collection(union_of_members(subspace_topology(X0,X1,X2)),top_of_basis(X3)) ),
    inference(resolution,[status(thm)],[f1604,f165]) ).

fof(f2840,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ77_spl
      | ~ subset_sets(closure(X4,X5,X0),X2)
      | ~ element_of_collection(closure(X4,X5,X0),X3)
      | element_of_collection(X2,top_of_basis(X3))
      | element_of_collection(f1(X0,X1),X0) ),
    inference(resolution,[status(thm)],[f2827,f167]) ).

fof(f2842,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ77_spl
      | element_of_collection(f10(X3,f1(top_of_basis(X3),X5),X4),X3)
      | ~ element_of_set(X4,f1(top_of_basis(X3),X5))
      | element_of_set(X0,closure(X1,X2,top_of_basis(X3))) ),
    inference(resolution,[status(thm)],[f2827,f163]) ).

fof(f2844,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ77_spl
      | element_of_set(f11(X4,intersection_of_members(X3)),f1(X3,X5))
      | element_of_collection(intersection_of_members(X3),top_of_basis(X4))
      | element_of_set(X0,closure(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2827,f291]) ).

fof(f2845,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ78_spl
      | ~ sQ77_spl
      | ~ subset_sets(boundary(X4,X5,X0),X2)
      | ~ element_of_collection(boundary(X4,X5,X0),X3)
      | element_of_collection(X2,top_of_basis(X3))
      | element_of_collection(f1(X0,X1),X0) ),
    inference(resolution,[status(thm)],[f2829,f167]) ).

fof(f2846,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ78_spl
      | ~ sQ77_spl
      | element_of_collection(f10(X3,f1(top_of_basis(X3),X5),X4),X3)
      | ~ element_of_set(X4,f1(top_of_basis(X3),X5))
      | element_of_set(X0,boundary(X1,X2,top_of_basis(X3))) ),
    inference(resolution,[status(thm)],[f2829,f163]) ).

fof(f2848,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ78_spl
      | ~ sQ77_spl
      | element_of_set(f11(X4,intersection_of_members(X3)),f1(X3,X5))
      | element_of_collection(intersection_of_members(X3),top_of_basis(X4))
      | element_of_set(X0,boundary(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2829,f291]) ).

fof(f2849,plain,
    ! [X0,X1] :
      ( ~ sQ22_spl
      | ~ subset_sets(empty_set,intersection_of_members(X0))
      | ~ element_of_collection(empty_set,X1)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f2703,f167]) ).

fof(f2850,plain,
    ! [X0,X1,X2] :
      ( ~ sQ22_spl
      | element_of_set(f11(X1,intersection_of_members(X0)),union_of_members(X2))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f2703,f2702]) ).

fof(f2851,plain,
    ! [X0,X1] :
      ( ~ sQ22_spl
      | ~ subset_sets(empty_set,intersection_of_members(X0))
      | ~ element_of_collection(empty_set,X1)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f2849]) ).

fof(f2852,plain,
    ! [X0,X1] :
      ( ~ sQ22_spl
      | ~ subset_sets(empty_set,intersection_of_members(X0))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2851,f1421]) ).

fof(f2853,plain,
    ! [X0,X1,X2] :
      ( ~ sQ22_spl
      | ~ subset_sets(union_of_members(X2),intersection_of_members(X0))
      | ~ element_of_collection(union_of_members(X2),X1)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f2850,f167]) ).

fof(f2854,plain,
    ! [X0,X1,X2] :
      ( ~ sQ22_spl
      | element_of_collection(f1(X2,f11(X1,intersection_of_members(X0))),X2)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f2850,f114]) ).

fof(f2855,plain,
    ! [X0,X1,X2] :
      ( ~ sQ22_spl
      | ~ subset_sets(union_of_members(X2),intersection_of_members(X0))
      | ~ element_of_collection(union_of_members(X2),X1)
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(duplicate_literals_removal,[status(thm)],[f2853]) ).

fof(f2857,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ8_spl
      | subset_sets(X8,X6)
      | element_of_set(X2,f10(subspace_topology(X3,subspace_topology(X0,X1,X4),X5),union_of_members(top_of_basis(subspace_topology(X6,X7,X8))),X9))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1586,f2776]) ).

fof(f2858,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ8_spl
      | topological_space(X6,X7)
      | element_of_set(X2,f10(subspace_topology(X3,subspace_topology(X0,X1,X4),X5),union_of_members(top_of_basis(subspace_topology(X6,X7,X8))),X9))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1586,f2667]) ).

fof(f2859,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ71_spl
      | subset_sets(X8,X6)
      | element_of_set(X2,f10(subspace_topology(X3,subspace_topology(X0,X1,X4),X5),union_of_members(subspace_topology(X6,X7,X8)),X9))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1586,f2716]) ).

fof(f2860,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ53_spl
      | topological_space(X6,X7)
      | element_of_set(X2,f10(subspace_topology(X3,subspace_topology(X0,X1,X4),X5),union_of_members(subspace_topology(X6,X7,X8)),X9))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1586,f2715]) ).

fof(f2861,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ69_spl
      | subset_sets(X6,X7)
      | element_of_set(X2,f10(subspace_topology(X3,subspace_topology(X0,X1,X4),X5),interior(X6,X7,X8),X9))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1586,f2719]) ).

fof(f2862,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ52_spl
      | topological_space(X7,X8)
      | element_of_set(X2,f10(subspace_topology(X3,subspace_topology(X0,X1,X4),X5),interior(X6,X7,X8),X9))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1586,f2718]) ).

fof(f2863,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ51_spl
      | topological_space(X7,X8)
      | element_of_set(X2,f10(subspace_topology(X3,subspace_topology(X0,X1,X4),X5),closure(X6,X7,X8),X9))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1586,f2717]) ).

fof(f2864,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ53_spl
      | topological_space(X3,subspace_topology(X0,X1,X4))
      | element_of_set(X2,f1(subspace_topology(X3,subspace_topology(X0,X1,X4),X5),X6))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1586,f2725]) ).

fof(f2865,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ71_spl
      | subset_sets(X5,X3)
      | element_of_set(X2,f1(subspace_topology(X3,subspace_topology(X0,X1,X4),X5),X6))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1586,f2724]) ).

fof(f2866,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ78_spl
      | ~ sQ77_spl
      | element_of_set(X7,boundary(X8,X9,subspace_topology(X3,subspace_topology(X0,X1,X4),X5)))
      | element_of_set(X2,f1(subspace_topology(X3,subspace_topology(X0,X1,X4),X5),X6))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1586,f2829]) ).

fof(f2867,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ77_spl
      | element_of_set(X7,closure(X8,X9,subspace_topology(X3,subspace_topology(X0,X1,X4),X5)))
      | element_of_set(X2,f1(subspace_topology(X3,subspace_topology(X0,X1,X4),X5),X6))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1586,f2827]) ).

fof(f2868,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ sQ80_spl
      | element_of_set(X7,intersection_of_members(subspace_topology(X8,subspace_topology(X9,subspace_topology(X3,subspace_topology(X0,X1,X4),X5),X10),X11)))
      | element_of_set(X2,f1(subspace_topology(X3,subspace_topology(X0,X1,X4),X5),X6))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1586,f2798]) ).

fof(f2869,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ sQ81_spl
      | element_of_set(X7,intersection_of_members(subspace_topology(X8,subspace_topology(X3,subspace_topology(X0,X1,X4),X5),X9)))
      | element_of_set(X2,f1(subspace_topology(X3,subspace_topology(X0,X1,X4),X5),X6))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1586,f2726]) ).

fof(f2871,plain,
    ! [X0,X1,X2] :
      ( ~ sQ22_spl
      | element_of_set(X2,empty_set)
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1586,f1421]) ).

fof(f2873,definition,
    ! [X2] :
      ( sQ83_spl
    <=> element_of_set(X2,empty_set) ),
    introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).

fof(f2874,plain,
    ! [X0] :
      ( ~ sQ83_spl
      | element_of_set(X0,empty_set) ),
    inference(component_clause,[status(thm)],[f2873]) ).

fof(f2876,plain,
    ( ~ sQ22_spl
    | sQ83_spl
    | sQ7_spl ),
    inference(split_clause,[status(thm)],[f2871,f1310,f2873,f1420]) ).

fof(f2877,plain,
    ! [X0,X1,X2] :
      ( ~ sQ9_spl
      | element_of_collection(X1,X2)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f1318,f124]) ).

fof(f2878,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ9_spl
      | neighborhood(f16(X2,X3,X1,X4),X2,X1,X4)
      | ~ subset_sets(X3,X1)
      | limit_point(X2,X3,X1,X4)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f1318,f208]) ).

fof(f2879,plain,
    ! [X0,X1,X2] :
      ( ~ sQ9_spl
      | open_covering(f24(X1,X2),X1,X2)
      | compact_space(X1,X2)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f1318,f263]) ).

fof(f2880,plain,
    ! [X0,X1,X2] :
      ( ~ sQ9_spl
      | element_of_set(f20(X1,X2),X1)
      | hausdorff(X1,X2)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f1318,f221]) ).

fof(f2881,plain,
    ! [X0,X1,X2] :
      ( ~ sQ9_spl
      | element_of_set(f19(X1,X2),X1)
      | hausdorff(X1,X2)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f1318,f220]) ).

fof(f2882,plain,
    ! [X0,X1,X2] :
      ( ~ sQ9_spl
      | equal_sets(union_of_members(X2),X1)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f1318,f121]) ).

fof(f2883,plain,
    ! [X0,X1,X2] :
      ( ~ sQ9_spl
      | separation(f21(X1,X2),f22(X1,X2),X1,X2)
      | connected_space(X1,X2)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f1318,f244]) ).

fof(f2884,plain,
    ! [X0,X1,X2] :
      ( ~ sQ9_spl
      | ~ element_of_collection(f1(X0,f11(X2,union_of_members(top_of_basis(X0)))),X2)
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X2))
      | topological_space(union_of_members(top_of_basis(X0)),X1) ),
    inference(resolution,[status(thm)],[f1318,f1022]) ).

fof(f2885,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ9_spl
      | element_of_set(X1,intersection_of_members(X0))
      | ~ element_of_collection(union_of_members(X0),X3)
      | element_of_collection(f2(X0,X1),top_of_basis(X3))
      | topological_space(f2(X0,X1),X2) ),
    inference(resolution,[status(thm)],[f1318,f1069]) ).

fof(f2886,plain,
    ! [X0,X1,X2] :
      ( ~ sQ9_spl
      | ~ element_of_collection(union_of_members(X0),X2)
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X2))
      | topological_space(union_of_members(top_of_basis(X0)),X1) ),
    inference(resolution,[status(thm)],[f1318,f1023]) ).

fof(f2887,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ51_spl
      | ~ sQ9_spl
      | subset_sets(X3,f14(X3,X0,X4,X2))
      | element_of_set(X2,closure(X3,X0,X4))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1318,f2671]) ).

fof(f2888,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ79_spl
      | ~ sQ9_spl
      | eq_p(X5,X2)
      | ~ topological_space(X0,X4)
      | limit_point(X2,X3,X0,X4)
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1318,f2652]) ).

fof(f2889,plain,
    ! [X0,X1,X2] :
      ( ~ sQ9_spl
      | ~ element_of_collection(X2,X1)
      | ~ element_of_set(f11(X1,X0),X2)
      | element_of_collection(X0,top_of_basis(X1)) ),
    inference(backward_subsumption_resolution,[status(thm)],[f167,f2877]) ).

fof(f2890,plain,
    ! [X0,X1] :
      ( ~ sQ9_spl
      | ~ element_of_collection(f1(X0,f11(X1,union_of_members(top_of_basis(X0)))),X1)
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(backward_subsumption_resolution,[status(thm)],[f1022,f2877]) ).

fof(f2891,plain,
    ! [X0,X1,X2] :
      ( ~ sQ9_spl
      | element_of_set(X1,intersection_of_members(X0))
      | ~ element_of_collection(union_of_members(X0),X2)
      | element_of_collection(f2(X0,X1),top_of_basis(X2)) ),
    inference(backward_subsumption_resolution,[status(thm)],[f1069,f2877]) ).

fof(f2892,plain,
    ! [X0,X1] :
      ( ~ sQ9_spl
      | ~ element_of_collection(union_of_members(X0),X1)
      | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(backward_subsumption_resolution,[status(thm)],[f1023,f2877]) ).

fof(f2893,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ51_spl
      | ~ sQ9_spl
      | subset_sets(X3,f14(X3,X0,X4,X2))
      | element_of_set(X2,closure(X3,X0,X4))
      | element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f2877,f2671]) ).

fof(f2894,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ79_spl
      | ~ sQ9_spl
      | eq_p(X5,X2)
      | ~ topological_space(X0,X4)
      | limit_point(X2,X3,X0,X4)
      | element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f2877,f2652]) ).

fof(f2895,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ9_spl
      | element_of_set(X4,X1)
      | topological_space(X2,X3)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f2877,f1586]) ).

fof(f2896,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ9_spl
      | element_of_collection(f10(X3,X1,X2),X3)
      | ~ element_of_set(X2,X1)
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f2877,f163]) ).

fof(f2897,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ9_spl
      | ~ element_of_set(X2,X1)
      | element_of_set(X2,union_of_members(X3))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f2877,f116]) ).

fof(f2898,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ9_spl
      | element_of_set(f11(X3,intersection_of_members(X2)),X1)
      | element_of_collection(intersection_of_members(X2),top_of_basis(X3))
      | subset_sets(X0,X1) ),
    inference(resolution,[status(thm)],[f2877,f291]) ).

fof(f2899,definition,
    ! [X0,X1,X4] :
      ( sQ84_spl
    <=> ( element_of_set(X4,X1)
        | subset_sets(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).

fof(f2900,plain,
    ! [X0,X1,X2] :
      ( ~ sQ84_spl
      | element_of_set(X2,X1)
      | subset_sets(X0,X1) ),
    inference(component_clause,[status(thm)],[f2899]) ).

fof(f2902,plain,
    ( ~ sQ9_spl
    | sQ7_spl
    | sQ84_spl ),
    inference(split_clause,[status(thm)],[f2895,f2899,f1310,f1317]) ).

fof(f2903,plain,
    ( ~ sQ23_spl
    | sQ74_spl
    | sQ37_spl ),
    inference(split_clause,[status(thm)],[f2636,f1491,f2473,f1424]) ).

fof(f2904,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ69_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)],[f1777,f2359]) ).

fof(f2905,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | topological_space(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f259,f2529]) ).

fof(f2906,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | open_covering(f24(X0,X1),X0,X1)
      | compact_space(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f263,f2529]) ).

fof(f2907,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | element_of_collection(X2,X1)
      | compact_space(X0,X1) ),
    inference(resolution,[status(thm)],[f2529,f124]) ).

fof(f2908,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | neighborhood(f16(X2,X3,X4,X1),X2,X4,X1)
      | ~ subset_sets(X3,X4)
      | limit_point(X2,X3,X4,X1)
      | compact_space(X0,X1) ),
    inference(resolution,[status(thm)],[f2529,f208]) ).

fof(f2909,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | element_of_set(f20(X2,X1),X2)
      | hausdorff(X2,X1)
      | compact_space(X0,X1) ),
    inference(resolution,[status(thm)],[f2529,f221]) ).

fof(f2910,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | element_of_set(f19(X2,X1),X2)
      | hausdorff(X2,X1)
      | compact_space(X0,X1) ),
    inference(resolution,[status(thm)],[f2529,f220]) ).

fof(f2911,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | equal_sets(union_of_members(X1),X2)
      | compact_space(X0,X1) ),
    inference(resolution,[status(thm)],[f2529,f121]) ).

fof(f2912,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | separation(f21(X2,X1),f22(X2,X1),X2,X1)
      | connected_space(X2,X1)
      | compact_space(X0,X1) ),
    inference(resolution,[status(thm)],[f2529,f244]) ).

fof(f2913,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ7_spl
      | element_of_set(X6,X7)
      | topological_space(X2,X3)
      | compact_space(X0,subspace_topology(X1,subspace_topology(X2,X3,X4),X5)) ),
    inference(resolution,[status(thm)],[f2536,f1586]) ).

fof(f2914,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | element_of_collection(f10(X1,X3,X2),X1)
      | ~ element_of_set(X2,X3)
      | compact_space(X0,top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f2536,f163]) ).

fof(f2915,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ element_of_set(X2,X3)
      | element_of_set(X2,union_of_members(X1))
      | compact_space(X0,X1) ),
    inference(resolution,[status(thm)],[f2536,f116]) ).

fof(f2916,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | element_of_set(f11(X2,intersection_of_members(X1)),X3)
      | element_of_collection(intersection_of_members(X1),top_of_basis(X2))
      | compact_space(X0,X1) ),
    inference(resolution,[status(thm)],[f2536,f291]) ).

fof(f2917,definition,
    ! [X0,X1,X2,X3,X4,X5] :
      ( sQ85_spl
    <=> ( topological_space(X2,X3)
        | compact_space(X0,subspace_topology(X1,subspace_topology(X2,X3,X4),X5)) ) ),
    introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).

fof(f2918,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ85_spl
      | topological_space(X2,X3)
      | compact_space(X0,subspace_topology(X1,subspace_topology(X2,X3,X4),X5)) ),
    inference(component_clause,[status(thm)],[f2917]) ).

fof(f2920,plain,
    ( ~ sQ7_spl
    | sQ74_spl
    | sQ85_spl ),
    inference(split_clause,[status(thm)],[f2913,f2917,f2473,f1310]) ).

fof(f2921,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ51_spl
      | ~ sQ84_spl
      | subset_sets(X3,f14(X3,X1,X4,X2))
      | element_of_set(X2,closure(X3,X1,X4))
      | element_of_set(X0,X1) ),
    inference(resolution,[status(thm)],[f2900,f2671]) ).

fof(f2922,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ84_spl
      | element_of_set(X5,union_of_members(X2))
      | element_of_collection(union_of_members(subspace_topology(X1,X2,X3)),top_of_basis(X4))
      | subset_sets(X0,f12(X1,X2,X3,f1(subspace_topology(X1,X2,X3),f11(X4,union_of_members(subspace_topology(X1,X2,X3)))))) ),
    inference(resolution,[status(thm)],[f2900,f1604]) ).

fof(f2923,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ84_spl
      | element_of_set(X3,union_of_members(X1))
      | element_of_collection(union_of_members(X1),top_of_basis(X2))
      | subset_sets(X0,f1(X1,f11(X2,union_of_members(X1)))) ),
    inference(resolution,[status(thm)],[f2900,f344]) ).

fof(f2924,plain,
    ! [X0,X1,X2] :
      ( ~ sQ84_spl
      | element_of_collection(f1(X1,X2),X1)
      | subset_sets(X0,union_of_members(X1)) ),
    inference(resolution,[status(thm)],[f2900,f114]) ).

fof(f2925,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ20_spl
      | element_of_set(f19(f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,union_of_members(subspace_topology(X0,X1,X2))))),X4),union_of_members(X1))
      | element_of_collection(union_of_members(subspace_topology(X0,X1,X2)),top_of_basis(X3))
      | hausdorff(f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,union_of_members(subspace_topology(X0,X1,X2))))),X4) ),
    inference(resolution,[status(thm)],[f1413,f1604]) ).

fof(f2926,plain,
    ! [X0,X1,X2] :
      ( ~ sQ20_spl
      | element_of_set(f19(f1(X0,f11(X1,union_of_members(X0))),X2),union_of_members(X0))
      | element_of_collection(union_of_members(X0),top_of_basis(X1))
      | hausdorff(f1(X0,f11(X1,union_of_members(X0))),X2) ),
    inference(resolution,[status(thm)],[f1413,f344]) ).

fof(f2927,plain,
    ! [X0,X1] :
      ( ~ sQ20_spl
      | element_of_collection(f1(X0,f19(union_of_members(X0),X1)),X0)
      | hausdorff(union_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f1413,f114]) ).

fof(f2928,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ19_spl
      | element_of_set(f20(f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,union_of_members(subspace_topology(X0,X1,X2))))),X4),union_of_members(X1))
      | element_of_collection(union_of_members(subspace_topology(X0,X1,X2)),top_of_basis(X3))
      | hausdorff(f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,union_of_members(subspace_topology(X0,X1,X2))))),X4) ),
    inference(resolution,[status(thm)],[f1409,f1604]) ).

fof(f2929,plain,
    ! [X0,X1,X2] :
      ( ~ sQ19_spl
      | element_of_set(f20(f1(X0,f11(X1,union_of_members(X0))),X2),union_of_members(X0))
      | element_of_collection(union_of_members(X0),top_of_basis(X1))
      | hausdorff(f1(X0,f11(X1,union_of_members(X0))),X2) ),
    inference(resolution,[status(thm)],[f1409,f344]) ).

fof(f2930,plain,
    ! [X0,X1] :
      ( ~ sQ19_spl
      | element_of_collection(f1(X0,f20(union_of_members(X0),X1)),X0)
      | hausdorff(union_of_members(X0),X1) ),
    inference(resolution,[status(thm)],[f1409,f114]) ).

fof(f2932,plain,
    ! [X0,X1] :
      ( ~ sQ18_spl
      | equal_sets(union_of_members(f24(X0,X1)),X0)
      | compact_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1405,f256]) ).

fof(f2935,plain,
    ! [X0,X1] :
      ( ~ sQ18_spl
      | topological_space(X0,X1)
      | compact_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1405,f252]) ).

fof(f2937,plain,
    ! [X0,X1] :
      ( ~ sQ18_spl
      | subset_collections(f24(X0,X1),X1)
      | compact_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1405,f254]) ).

fof(f2938,plain,
    ! [X0,X1,X2] :
      ( ~ sQ18_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)],[f2937,f2490]) ).

fof(f2939,plain,
    ! [X0,X1] :
      ( ~ sQ24_spl
      | ~ sQ18_spl
      | element_of_collection(union_of_members(f24(X0,X1)),X1)
      | compact_space(X0,X1) ),
    inference(resolution,[status(thm)],[f2937,f1429]) ).

fof(f2941,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ82_spl
      | element_of_collection(f10(X1,f1(top_of_basis(X1),X3),X2),X1)
      | ~ element_of_set(X2,f1(top_of_basis(X1),X3))
      | element_of_set(X0,intersection_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f2727,f163]) ).

fof(f2943,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ82_spl
      | element_of_set(f11(X2,intersection_of_members(X1)),f1(X1,X3))
      | element_of_collection(intersection_of_members(X1),top_of_basis(X2))
      | element_of_set(X0,intersection_of_members(X1)) ),
    inference(resolution,[status(thm)],[f2727,f291]) ).

fof(f2944,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ51_spl
      | ~ sQ84_spl
      | subset_sets(X3,f14(X3,union_of_members(X0),X4,X2))
      | element_of_set(X2,closure(X3,union_of_members(X0),X4))
      | element_of_collection(f1(X0,X1),X0) ),
    inference(resolution,[status(thm)],[f2924,f2671]) ).

fof(f2945,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ84_spl
      | element_of_set(X6,f1(subspace_topology(X1,subspace_topology(X2,X3,X4),X5),X7))
      | topological_space(X2,X3)
      | subset_sets(X0,union_of_members(subspace_topology(X1,subspace_topology(X2,X3,X4),X5))) ),
    inference(resolution,[status(thm)],[f2924,f1586]) ).

fof(f2946,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ84_spl
      | element_of_collection(f10(X1,f1(top_of_basis(X1),X3),X2),X1)
      | ~ element_of_set(X2,f1(top_of_basis(X1),X3))
      | subset_sets(X0,union_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f2924,f163]) ).

fof(f2948,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ84_spl
      | element_of_set(f11(X2,intersection_of_members(X1)),f1(X1,X3))
      | element_of_collection(intersection_of_members(X1),top_of_basis(X2))
      | subset_sets(X0,union_of_members(X1)) ),
    inference(resolution,[status(thm)],[f2924,f291]) ).

fof(f2949,plain,
    ! [X0,X1] :
      ( ~ sQ18_spl
      | element_of_collection(f9(X0,f24(X0,X1)),f24(X0,X1))
      | basis(X0,f24(X0,X1))
      | compact_space(X0,X1) ),
    inference(resolution,[status(thm)],[f2932,f159]) ).

fof(f2950,plain,
    ! [X0,X1] :
      ( ~ sQ18_spl
      | element_of_collection(f8(X0,f24(X0,X1)),f24(X0,X1))
      | basis(X0,f24(X0,X1))
      | compact_space(X0,X1) ),
    inference(resolution,[status(thm)],[f2932,f158]) ).

fof(f2951,plain,
    ! [X0,X1] :
      ( ~ sQ18_spl
      | element_of_set(f7(X0,f24(X0,X1)),intersection_of_sets(f8(X0,f24(X0,X1)),f9(X0,f24(X0,X1))))
      | basis(X0,f24(X0,X1))
      | compact_space(X0,X1) ),
    inference(resolution,[status(thm)],[f2932,f160]) ).

fof(f2952,plain,
    ! [X0,X1] :
      ( ~ sQ18_spl
      | element_of_set(f7(X0,f24(X0,X1)),X0)
      | basis(X0,f24(X0,X1))
      | compact_space(X0,X1) ),
    inference(resolution,[status(thm)],[f2932,f157]) ).

fof(f2953,plain,
    ! [X0,X1,X2] :
      ( ~ sQ18_spl
      | ~ subset_collections(f24(X0,X1),X2)
      | ~ topological_space(X0,X2)
      | open_covering(f24(X0,X1),X0,X2)
      | compact_space(X0,X1) ),
    inference(resolution,[status(thm)],[f2932,f258]) ).

fof(f2954,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ24_spl
      | ~ sQ18_spl
      | element_of_set(X6,union_of_members(f24(X0,subspace_topology(X1,subspace_topology(X2,X3,X4),X5))))
      | topological_space(X2,X3)
      | compact_space(X0,subspace_topology(X1,subspace_topology(X2,X3,X4),X5)) ),
    inference(resolution,[status(thm)],[f2939,f1586]) ).

fof(f2955,plain,
    ! [X0,X1,X2] :
      ( ~ sQ24_spl
      | ~ sQ18_spl
      | element_of_collection(f10(X1,union_of_members(f24(X0,top_of_basis(X1))),X2),X1)
      | ~ element_of_set(X2,union_of_members(f24(X0,top_of_basis(X1))))
      | compact_space(X0,top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f2939,f163]) ).

fof(f2956,plain,
    ! [X0,X1,X2] :
      ( ~ sQ24_spl
      | ~ sQ18_spl
      | ~ element_of_set(X2,union_of_members(f24(X0,X1)))
      | element_of_set(X2,union_of_members(X1))
      | compact_space(X0,X1) ),
    inference(resolution,[status(thm)],[f2939,f116]) ).

fof(f2957,plain,
    ! [X0,X1,X2] :
      ( ~ sQ24_spl
      | ~ sQ18_spl
      | element_of_set(f11(X2,intersection_of_members(X1)),union_of_members(f24(X0,X1)))
      | element_of_collection(intersection_of_members(X1),top_of_basis(X2))
      | compact_space(X0,X1) ),
    inference(resolution,[status(thm)],[f2939,f291]) ).

fof(f2958,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ78_spl
      | ~ sQ77_spl
      | element_of_collection(f1(X3,X4),X3)
      | element_of_set(X0,boundary(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2825,f114]) ).

fof(f2959,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ19_spl
      | ~ sQ37_spl
      | hausdorff(intersection_of_sets(f16(X0,X1,X2,X3),X1),X4)
      | eq_p(f20(intersection_of_sets(f16(X0,X1,X2,X3),X1),X4),X0)
      | ~ topological_space(X2,X3)
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f2212,f1409]) ).

fof(f2960,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ20_spl
      | ~ sQ37_spl
      | hausdorff(intersection_of_sets(f16(X0,X1,X2,X3),X1),X4)
      | eq_p(f19(intersection_of_sets(f16(X0,X1,X2,X3),X1),X4),X0)
      | ~ topological_space(X2,X3)
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f2212,f1413]) ).

fof(f2961,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ37_spl
      | element_of_collection(intersection_of_sets(f16(X0,X1,X2,X3),X1),top_of_basis(X4))
      | eq_p(f11(X4,intersection_of_sets(f16(X0,X1,X2,X3),X1)),X0)
      | ~ topological_space(X2,X3)
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f2212,f165]) ).

fof(f2963,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ84_spl
      | ~ sQ51_spl
      | element_of_collection(f1(X2,X4),X2)
      | closed(f14(X1,union_of_members(X2),X3,X0),union_of_members(X2),X3)
      | element_of_set(X0,closure(X1,union_of_members(X2),X3)) ),
    inference(resolution,[status(thm)],[f2672,f2924]) ).

fof(f2964,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ84_spl
      | ~ sQ51_spl
      | element_of_set(X4,X2)
      | closed(f14(X1,X2,X3,X0),X2,X3)
      | element_of_set(X0,closure(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2672,f2900]) ).

fof(f2965,plain,
    ! [X0,X1] :
      ( ~ sQ18_spl
      | compact_space(X0,X1)
      | subset_collections(f5(X0,f24(X0,X1)),f24(X0,X1))
      | element_of_collection(f3(X0,f24(X0,X1)),f24(X0,X1))
      | ~ element_of_collection(X0,f24(X0,X1))
      | ~ element_of_collection(empty_set,f24(X0,X1))
      | topological_space(X0,f24(X0,X1)) ),
    inference(resolution,[status(thm)],[f129,f2932]) ).

fof(f2966,plain,
    ! [X0,X1] :
      ( ~ sQ18_spl
      | compact_space(X0,X1)
      | subset_collections(f5(X0,f24(X0,X1)),f24(X0,X1))
      | element_of_collection(f4(X0,f24(X0,X1)),f24(X0,X1))
      | ~ element_of_collection(X0,f24(X0,X1))
      | ~ element_of_collection(empty_set,f24(X0,X1))
      | topological_space(X0,f24(X0,X1)) ),
    inference(resolution,[status(thm)],[f131,f2932]) ).

fof(f2967,plain,
    ! [X0,X1] :
      ( ~ sQ18_spl
      | ~ sQ22_spl
      | compact_space(X0,X1)
      | subset_collections(f5(X0,f24(X0,X1)),f24(X0,X1))
      | element_of_collection(f3(X0,f24(X0,X1)),f24(X0,X1))
      | ~ element_of_collection(X0,f24(X0,X1))
      | topological_space(X0,f24(X0,X1)) ),
    inference(resolution,[status(thm)],[f2698,f2932]) ).

fof(f2968,plain,
    ( ~ sQ24_spl
    | ~ sQ1_spl
    | element_of_collection(union_of_members(g),f) ),
    inference(resolution,[status(thm)],[f278,f1429]) ).

fof(f2969,plain,
    ( ~ sQ3_spl
    | ~ sQ2_spl
    | ~ subset_collections(g,f) ),
    inference(resolution,[status(thm)],[f282,f286]) ).

fof(f2970,plain,
    ( ~ sQ3_spl
    | ~ sQ2_spl
    | ~ sQ1_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2969,f278]) ).

fof(f2971,plain,
    ( ~ sQ3_spl
    | ~ sQ2_spl
    | ~ sQ1_spl ),
    inference(contradiction_clause,[status(thm)],[f2970]) ).

fof(f2972,plain,
    ! [X0,X1] :
      ( ~ sQ22_spl
      | ~ sQ25_spl
      | ~ element_of_collection(union_of_members(f5(X0,X1)),X1)
      | element_of_collection(f3(X0,X1),X1)
      | ~ element_of_collection(X0,X1)
      | topological_space(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f2699,f1433]) ).

fof(f2973,plain,
    ! [X0,X1] :
      ( ~ sQ22_spl
      | ~ sQ25_spl
      | subset_collections(f5(X0,X1),X1)
      | ~ element_of_collection(intersection_of_sets(f3(X0,X1),f4(X0,X1)),X1)
      | ~ element_of_collection(X0,X1)
      | topological_space(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f2697,f1433]) ).

fof(f2974,plain,
    ! [X0,X1] :
      ( ~ sQ25_spl
      | ~ 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)
      | topological_space(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f132,f1433]) ).

fof(f2975,plain,
    ! [X0,X1] :
      ( ~ sQ22_spl
      | ~ sQ25_spl
      | subset_collections(f5(X0,X1),X1)
      | element_of_collection(f3(X0,X1),X1)
      | ~ element_of_collection(X0,X1)
      | topological_space(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f2698,f1433]) ).

fof(f2976,plain,
    ! [X0,X1] :
      ( ~ sQ25_spl
      | subset_collections(f5(X0,X1),X1)
      | element_of_collection(f4(X0,X1),X1)
      | ~ element_of_collection(X0,X1)
      | ~ element_of_collection(empty_set,X1)
      | topological_space(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f131,f1433]) ).

fof(f2977,plain,
    ! [X0,X1] :
      ( ~ sQ25_spl
      | element_of_collection(f9(X0,X1),X1)
      | basis(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f159,f1433]) ).

fof(f2978,plain,
    ! [X0,X1] :
      ( ~ sQ25_spl
      | element_of_collection(f8(X0,X1),X1)
      | basis(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f158,f1433]) ).

fof(f2979,plain,
    ! [X0,X1] :
      ( ~ sQ25_spl
      | element_of_set(f7(X0,X1),intersection_of_sets(f8(X0,X1),f9(X0,X1)))
      | basis(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f160,f1433]) ).

fof(f2980,plain,
    ! [X0,X1] :
      ( ~ sQ25_spl
      | element_of_set(f7(X0,X1),X0)
      | basis(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f157,f1433]) ).

fof(f2981,plain,
    ! [X0,X1,X2] :
      ( ~ sQ25_spl
      | ~ subset_collections(X0,X2)
      | ~ topological_space(X1,X2)
      | open_covering(X0,X1,X2) ),
    inference(backward_subsumption_resolution,[status(thm)],[f258,f1433]) ).

fof(f2982,plain,
    ! [X0,X1] :
      ( ~ sQ37_spl
      | element_of_collection(f10(X1,union_of_members(top_of_basis(X1)),X0),X1)
      | ~ element_of_set(X0,union_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f2232,f163]) ).

fof(f2984,plain,
    ! [X0,X1] :
      ( ~ sQ37_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(resolution,[status(thm)],[f2232,f291]) ).

fof(f2985,plain,
    ! [X0,X1] :
      ( ~ sQ37_spl
      | ~ sQ8_spl
      | element_of_collection(f10(X0,union_of_members(top_of_basis(X0)),X1),X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2982,f1314]) ).

fof(f2986,plain,
    ! [X0,X1,X2] :
      ( ~ sQ8_spl
      | element_of_collection(f10(X1,f1(top_of_basis(X1),X2),X0),X1)
      | ~ element_of_set(X0,f1(top_of_basis(X1),X2)) ),
    inference(resolution,[status(thm)],[f2721,f163]) ).

fof(f2988,plain,
    ! [X0,X1,X2] :
      ( ~ sQ8_spl
      | element_of_set(f11(X1,intersection_of_members(top_of_basis(X0))),f1(top_of_basis(X0),X2))
      | element_of_collection(intersection_of_members(top_of_basis(X0)),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f2721,f291]) ).

fof(f2989,plain,
    ! [X0,X1] :
      ( ~ sQ19_spl
      | ~ sQ22_spl
      | hausdorff(empty_set,X0)
      | element_of_set(f20(empty_set,X0),union_of_members(X1)) ),
    inference(resolution,[status(thm)],[f2702,f1409]) ).

fof(f2990,plain,
    ! [X0,X1] :
      ( ~ sQ20_spl
      | ~ sQ22_spl
      | hausdorff(empty_set,X0)
      | element_of_set(f19(empty_set,X0),union_of_members(X1)) ),
    inference(resolution,[status(thm)],[f2702,f1413]) ).

fof(f2991,plain,
    ! [X0,X1] :
      ( ~ sQ22_spl
      | element_of_collection(empty_set,top_of_basis(X0))
      | element_of_set(f11(X0,empty_set),union_of_members(X1)) ),
    inference(resolution,[status(thm)],[f2702,f165]) ).

fof(f2992,plain,
    ! [X0,X1,X2] :
      ( ~ sQ84_spl
      | ~ sQ22_spl
      | subset_sets(X2,empty_set)
      | element_of_set(X0,union_of_members(X1)) ),
    inference(resolution,[status(thm)],[f2702,f2900]) ).

fof(f2993,definition,
    ! [X0,X1] :
      ( sQ86_spl
    <=> element_of_set(X0,union_of_members(X1)) ),
    introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).

fof(f2994,plain,
    ! [X0,X1] :
      ( ~ sQ86_spl
      | element_of_set(X0,union_of_members(X1)) ),
    inference(component_clause,[status(thm)],[f2993]) ).

fof(f2996,definition,
    ! [X2] :
      ( sQ87_spl
    <=> subset_sets(X2,empty_set) ),
    introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).

fof(f2997,plain,
    ! [X0] :
      ( ~ sQ87_spl
      | subset_sets(X0,empty_set) ),
    inference(component_clause,[status(thm)],[f2996]) ).

fof(f2999,plain,
    ( ~ sQ84_spl
    | ~ sQ22_spl
    | sQ87_spl
    | sQ86_spl ),
    inference(split_clause,[status(thm)],[f2992,f2993,f2996,f1420,f2899]) ).

fof(f3000,plain,
    ! [X0,X1] :
      ( ~ sQ25_spl
      | ~ 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)
      | topological_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f130,f1433]) ).

fof(f3001,plain,
    ! [X0,X1] :
      ( ~ sQ25_spl
      | subset_collections(f5(X0,X1),X1)
      | element_of_collection(f3(X0,X1),X1)
      | ~ element_of_collection(X0,X1)
      | ~ element_of_collection(empty_set,X1)
      | topological_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f129,f1433]) ).

fof(f3002,plain,
    ! [X0,X1] :
      ( ~ sQ25_spl
      | subset_collections(f5(X0,X1),X1)
      | ~ element_of_collection(intersection_of_sets(f3(X0,X1),f4(X0,X1)),X1)
      | ~ element_of_collection(X0,X1)
      | ~ element_of_collection(empty_set,X1)
      | topological_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f133,f1433]) ).

fof(f3003,plain,
    ! [X0,X1,X2] :
      ( ~ sQ18_spl
      | ~ sQ25_spl
      | compact_space(X0,X1)
      | ~ topological_space(X2,X1)
      | open_covering(f24(X0,X1),X2,X1) ),
    inference(resolution,[status(thm)],[f2981,f2937]) ).

fof(f3004,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ19_spl
      | ~ sQ78_spl
      | hausdorff(closure(X0,X1,X2),X3)
      | element_of_set(f20(closure(X0,X1,X2),X3),boundary(X0,X1,X2)) ),
    inference(resolution,[status(thm)],[f2648,f1409]) ).

fof(f3005,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ20_spl
      | ~ sQ78_spl
      | hausdorff(closure(X0,X1,X2),X3)
      | element_of_set(f19(closure(X0,X1,X2),X3),boundary(X0,X1,X2)) ),
    inference(resolution,[status(thm)],[f2648,f1413]) ).

fof(f3006,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ78_spl
      | element_of_collection(closure(X1,X2,X3),top_of_basis(X0))
      | element_of_set(f11(X0,closure(X1,X2,X3)),boundary(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2648,f165]) ).

fof(f3008,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ84_spl
      | ~ sQ78_spl
      | subset_sets(X4,closure(X1,X2,X3))
      | element_of_set(X0,boundary(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2648,f2900]) ).

fof(f3009,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ51_spl
      | ~ sQ37_spl
      | closed(f14(X1,X2,X3,X0),X2,X3)
      | element_of_set(X0,closure(X1,X2,X3)) ),
    inference(backward_subsumption_resolution,[status(thm)],[f2672,f1492]) ).

fof(f3010,plain,
    ! [X0,X1] :
      ( ~ sQ86_spl
      | element_of_collection(f1(X0,X1),X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[f114,f2994]) ).

fof(f3011,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ86_spl
      | element_of_set(X2,f1(subspace_topology(X3,subspace_topology(X0,X1,X4),X5),X6))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f3010,f1586]) ).

fof(f3012,plain,
    ! [X0,X1,X2] :
      ( ~ sQ86_spl
      | element_of_collection(f10(X1,f1(top_of_basis(X1),X2),X0),X1)
      | ~ element_of_set(X0,f1(top_of_basis(X1),X2)) ),
    inference(resolution,[status(thm)],[f3010,f163]) ).

fof(f3013,plain,
    ! [X0,X1,X2] :
      ( ~ sQ86_spl
      | element_of_set(f11(X1,intersection_of_members(X0)),f1(X0,X2))
      | element_of_collection(intersection_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f3010,f291]) ).

fof(f3014,plain,
    ! [X0,X1,X2] :
      ( ~ sQ25_spl
      | ~ sQ18_spl
      | ~ subset_collections(X0,X2)
      | open_covering(X0,X1,X2) ),
    inference(backward_subsumption_resolution,[status(thm)],[f2981,f3021]) ).

fof(f3015,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ37_spl
      | ~ sQ18_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)],[f2212,f3021]) ).

fof(f3016,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ18_spl
      | ~ disjoint_s(X0,X1)
      | ~ equal_sets(union_of_sets(X0,X1),X2)
      | ~ element_of_collection(X1,X3)
      | ~ element_of_collection(X0,X3)
      | equal_sets(X1,empty_set)
      | equal_sets(X0,empty_set)
      | separation(X0,X1,X2,X3) ),
    inference(backward_subsumption_resolution,[status(thm)],[f240,f3021]) ).

fof(f3017,plain,
    ! [X0,X1] :
      ( ~ sQ18_spl
      | ~ eq_p(f19(X0,X1),f20(X0,X1))
      | hausdorff(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f222,f3021]) ).

fof(f3018,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ37_spl
      | ~ sQ18_spl
      | neighborhood(f16(X0,X1,X2,X3),X0,X2,X3)
      | limit_point(X0,X1,X2,X3) ),
    inference(backward_subsumption_resolution,[status(thm)],[f2216,f3021]) ).

fof(f3019,plain,
    ! [X0,X1] :
      ( ~ sQ18_spl
      | element_of_collection(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f124,f3021]) ).

fof(f3020,plain,
    ! [X0,X1] :
      ( ~ sQ18_spl
      | separation(f21(X0,X1),f22(X0,X1),X0,X1)
      | connected_space(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f244,f3021]) ).

fof(f3021,plain,
    ! [X0,X1] :
      ( ~ sQ18_spl
      | topological_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f259,f2935]) ).

fof(f3022,plain,
    ( ~ sQ18_spl
    | sQ23_spl ),
    inference(split_clause,[status(thm)],[f3019,f1424,f1404]) ).

fof(f3023,plain,
    ! [X0,X1] :
      ( ~ sQ23_spl
      | ~ sQ25_spl
      | subset_collections(f5(X0,X1),X1)
      | ~ element_of_collection(intersection_of_sets(f3(X0,X1),f4(X0,X1)),X1)
      | topological_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2627,f1433]) ).

fof(f3024,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ69_spl
      | ~ sQ37_spl
      | ~ open(X4,X2,X3)
      | ~ element_of_set(X0,X4)
      | element_of_set(X0,interior(X1,X2,X3)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2904,f1492]) ).

fof(f3025,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ37_spl
      | ~ element_of_set(X0,X4)
      | element_of_set(X0,interior(X1,X2,X3)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1779,f1492]) ).

fof(f3026,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ37_spl
      | ~ element_of_set(X0,f14(X1,X2,X3,X0))
      | element_of_set(X0,closure(X1,X2,X3)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1787,f1492]) ).

fof(f3027,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ25_spl
      | subset_collections(f5(X0,X1),X1)
      | ~ element_of_collection(X0,X1)
      | ~ element_of_collection(empty_set,X1)
      | topological_space(X0,X1)
      | hausdorff(intersection_of_sets(f3(X0,X1),f4(X0,X1)),X2) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2572,f1433]) ).

fof(f3028,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ25_spl
      | element_of_collection(f3(X0,X1),X1)
      | ~ element_of_collection(X0,X1)
      | ~ element_of_collection(empty_set,X1)
      | topological_space(X0,X1)
      | hausdorff(union_of_members(f5(X0,X1)),X2) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2573,f1433]) ).

fof(f3029,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ25_spl
      | element_of_collection(f4(X0,X1),X1)
      | ~ element_of_collection(X0,X1)
      | ~ element_of_collection(empty_set,X1)
      | topological_space(X0,X1)
      | hausdorff(union_of_members(f5(X0,X1)),X2) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2574,f1433]) ).

fof(f3030,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ sQ25_spl
      | subset_collections(f5(X0,X1),X1)
      | element_of_collection(f3(X0,X1),X1)
      | ~ element_of_collection(empty_set,X1)
      | topological_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2575,f1433]) ).

fof(f3031,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ sQ25_spl
      | ~ element_of_collection(union_of_members(f5(X0,X1)),X1)
      | element_of_collection(f3(X0,X1),X1)
      | ~ element_of_collection(empty_set,X1)
      | topological_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2576,f1433]) ).

fof(f3032,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ sQ25_spl
      | subset_collections(f5(X0,X1),X1)
      | element_of_collection(f4(X0,X1),X1)
      | ~ element_of_collection(empty_set,X1)
      | topological_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2577,f1433]) ).

fof(f3033,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ sQ25_spl
      | ~ element_of_collection(union_of_members(f5(X0,X1)),X1)
      | element_of_collection(f4(X0,X1),X1)
      | ~ element_of_collection(empty_set,X1)
      | topological_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2578,f1433]) ).

fof(f3034,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ sQ25_spl
      | subset_collections(f5(X0,X1),X1)
      | ~ element_of_collection(intersection_of_sets(f3(X0,X1),f4(X0,X1)),X1)
      | ~ element_of_collection(empty_set,X1)
      | topological_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2579,f1433]) ).

fof(f3035,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ37_spl
      | neighborhood(f16(X2,X3,X4,X1),X2,X4,X1)
      | limit_point(X2,X3,X4,X1)
      | compact_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2908,f1492]) ).

fof(f3036,plain,
    ! [X0,X1,X2] :
      ( ~ sQ25_spl
      | ~ subset_sets(X2,intersection_of_sets(f8(X0,X1),f9(X0,X1)))
      | ~ element_of_collection(X2,X1)
      | ~ element_of_set(f7(X0,X1),X2)
      | basis(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f161,f1433]) ).

fof(f3037,plain,
    ! [X0,X1,X2] :
      ( ~ sQ37_spl
      | ~ sQ25_spl
      | ~ element_of_collection(X2,X1)
      | ~ element_of_set(f7(X0,X1),X2)
      | basis(X0,X1) ),
    inference(resolution,[status(thm)],[f3036,f1492]) ).

fof(f3038,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | neighborhood(f17(X0,X4,X2,X3),X2,X0,X4)
      | eq_p(X2,X3)
      | ~ element_of_set(X3,X0)
      | ~ element_of_set(X2,X0)
      | element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f2569,f217]) ).

fof(f3039,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | neighborhood(f18(X0,X4,X2,X3),X3,X0,X4)
      | eq_p(X2,X3)
      | ~ element_of_set(X3,X0)
      | ~ element_of_set(X2,X0)
      | element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f2569,f218]) ).

fof(f3040,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | disjoint_s(f17(X0,X4,X2,X3),f18(X0,X4,X2,X3))
      | eq_p(X2,X3)
      | ~ element_of_set(X3,X0)
      | ~ element_of_set(X2,X0)
      | element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f2569,f219]) ).

fof(f3041,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | element_of_collection(f10(X3,X0,X2),X3)
      | ~ element_of_set(X2,X0)
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f2569,f163]) ).

fof(f3042,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | element_of_set(f11(X3,intersection_of_members(X2)),X0)
      | element_of_collection(intersection_of_members(X2),top_of_basis(X3))
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f2569,f291]) ).

fof(f3043,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | element_of_collection(f10(X3,X0,X2),X3)
      | ~ element_of_set(X2,X0)
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f2571,f163]) ).

fof(f3044,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | element_of_set(f11(X3,intersection_of_members(X2)),X0)
      | element_of_collection(intersection_of_members(X2),top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f2571,f291]) ).

fof(f3045,plain,
    ! [X0,X1] :
      ( ~ sQ25_spl
      | ~ sQ7_spl
      | ~ element_of_collection(union_of_members(f5(X0,X1)),X1)
      | element_of_collection(f4(X0,X1),X1)
      | ~ element_of_collection(empty_set,X1)
      | topological_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2974,f2571]) ).

fof(f3046,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ25_spl
      | topological_space(union_of_members(f5(X0,X1)),X2)
      | element_of_collection(f4(X0,X1),X1)
      | ~ element_of_collection(empty_set,X1)
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f3045,f2571]) ).

fof(f3047,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ25_spl
      | hausdorff(union_of_members(f5(X0,X1)),X2)
      | element_of_collection(f4(X0,X1),X1)
      | ~ element_of_collection(empty_set,X1)
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f3045,f2569]) ).

fof(f3048,plain,
    ! [X0,X1] :
      ( ~ sQ25_spl
      | ~ sQ7_spl
      | subset_collections(f5(X0,X1),X1)
      | element_of_collection(f4(X0,X1),X1)
      | ~ element_of_collection(empty_set,X1)
      | topological_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2976,f2571]) ).

fof(f3049,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ25_spl
      | topological_space(empty_set,X2)
      | subset_collections(f5(X0,X1),X1)
      | element_of_collection(f4(X0,X1),X1)
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f3048,f2571]) ).

fof(f3050,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ25_spl
      | hausdorff(empty_set,X2)
      | subset_collections(f5(X0,X1),X1)
      | element_of_collection(f4(X0,X1),X1)
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f3048,f2569]) ).

fof(f3051,definition,
    ! [X0,X1] :
      ( sQ88_spl
    <=> ( subset_collections(f5(X0,X1),X1)
        | element_of_collection(f4(X0,X1),X1)
        | topological_space(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).

fof(f3052,plain,
    ! [X0,X1] :
      ( ~ sQ88_spl
      | subset_collections(f5(X0,X1),X1)
      | element_of_collection(f4(X0,X1),X1)
      | topological_space(X0,X1) ),
    inference(component_clause,[status(thm)],[f3051]) ).

fof(f3054,definition,
    ! [X2] :
      ( sQ89_spl
    <=> topological_space(empty_set,X2) ),
    introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).

fof(f3055,plain,
    ! [X0] :
      ( ~ sQ89_spl
      | topological_space(empty_set,X0) ),
    inference(component_clause,[status(thm)],[f3054]) ).

fof(f3057,plain,
    ( ~ sQ7_spl
    | ~ sQ25_spl
    | sQ89_spl
    | sQ88_spl ),
    inference(split_clause,[status(thm)],[f3049,f3051,f3054,f1432,f1310]) ).

fof(f3058,definition,
    ! [X2] :
      ( sQ90_spl
    <=> hausdorff(empty_set,X2) ),
    introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).

fof(f3059,plain,
    ! [X0] :
      ( ~ sQ90_spl
      | hausdorff(empty_set,X0) ),
    inference(component_clause,[status(thm)],[f3058]) ).

fof(f3061,plain,
    ( ~ sQ7_spl
    | ~ sQ25_spl
    | sQ90_spl
    | sQ88_spl ),
    inference(split_clause,[status(thm)],[f3050,f3051,f3058,f1432,f1310]) ).

fof(f3062,plain,
    ! [X0,X1,X2] :
      ( ~ sQ37_spl
      | ~ element_of_collection(X2,X1)
      | ~ element_of_set(f7(X0,X1),X2)
      | ~ equal_sets(union_of_members(X1),X0)
      | basis(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f161,f1492]) ).

fof(f3063,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ51_spl
      | ~ sQ37_spl
      | open(relative_complement_sets(f14(X1,X2,X3,X0),X2),X2,X3)
      | element_of_set(X0,closure(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f3009,f143]) ).

fof(f3065,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ52_spl
      | element_of_collection(f10(X3,f10(top_of_basis(X3),interior(X4,X0,X1),X5),X2),X3)
      | ~ element_of_set(X2,f10(top_of_basis(X3),interior(X4,X0,X1),X5))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f2718,f163]) ).

fof(f3066,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ52_spl
      | element_of_set(f11(X3,intersection_of_members(X2)),f10(X2,interior(X4,X0,X1),X5))
      | element_of_collection(intersection_of_members(X2),top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f2718,f291]) ).

fof(f3067,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ51_spl
      | element_of_collection(f10(X3,f10(top_of_basis(X3),closure(X4,X0,X1),X5),X2),X3)
      | ~ element_of_set(X2,f10(top_of_basis(X3),closure(X4,X0,X1),X5))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f2717,f163]) ).

fof(f3068,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ51_spl
      | element_of_set(f11(X3,intersection_of_members(X2)),f10(X2,closure(X4,X0,X1),X5))
      | element_of_collection(intersection_of_members(X2),top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f2717,f291]) ).

fof(f3070,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ51_spl
      | ~ sQ37_spl
      | element_of_collection(relative_complement_sets(f14(X1,X2,X3,X0),X2),X3)
      | element_of_set(X0,closure(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f3063,f138]) ).

fof(f3071,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ51_spl
      | ~ sQ37_spl
      | ~ element_of_set(X4,relative_complement_sets(f14(X1,X2,X3,X0),X2))
      | neighborhood(relative_complement_sets(f14(X1,X2,X3,X0),X2),X4,X2,X3)
      | element_of_set(X0,closure(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f3063,f2491]) ).

fof(f3072,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f10(X4,boundary(X3,X0,X1),X2),X4)
      | ~ element_of_set(X2,boundary(X3,X0,X1))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1072,f163]) ).

fof(f3073,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(f11(X3,intersection_of_members(top_of_basis(X2))),boundary(X4,X0,X1))
      | element_of_collection(intersection_of_members(top_of_basis(X2)),top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1072,f291]) ).

fof(f3074,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ51_spl
      | ~ sQ78_spl
      | element_of_collection(f10(X2,boundary(X3,X0,X1),X4),X2)
      | topological_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3072,f2696]) ).

fof(f3075,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f10(X4,closure(X3,X0,X1),X2),X4)
      | ~ element_of_set(X2,closure(X3,X0,X1))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f900,f163]) ).

fof(f3076,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(f11(X3,intersection_of_members(top_of_basis(X2))),closure(X4,X0,X1))
      | element_of_collection(intersection_of_members(top_of_basis(X2)),top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f900,f291]) ).

fof(f3077,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f10(X4,interior(X3,X0,X1),X2),X4)
      | ~ element_of_set(X2,interior(X3,X0,X1))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f898,f163]) ).

fof(f3078,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(f11(X3,intersection_of_members(top_of_basis(X2))),interior(X4,X0,X1))
      | element_of_collection(intersection_of_members(top_of_basis(X2)),top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f898,f291]) ).

fof(f3079,plain,
    ! [X0,X1] :
      ( ~ sQ17_spl
      | element_of_collection(f21(X0,X1),X1)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1401,f232]) ).

fof(f3080,plain,
    ! [X0,X1] :
      ( ~ sQ17_spl
      | equal_sets(union_of_sets(f21(X0,X1),f22(X0,X1)),X0)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1401,f236]) ).

fof(f3081,plain,
    ! [X0,X1] :
      ( ~ sQ17_spl
      | ~ equal_sets(f22(X0,X1),empty_set)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1401,f230]) ).

fof(f3082,plain,
    ! [X0,X1] :
      ( ~ sQ17_spl
      | ~ equal_sets(f21(X0,X1),empty_set)
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1401,f228]) ).

fof(f3084,plain,
    ! [X0,X1] :
      ( ~ sQ17_spl
      | disjoint_s(f21(X0,X1),f22(X0,X1))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f1401,f238]) ).

fof(f3085,plain,
    ! [X0,X1,X2] :
      ( ~ sQ17_spl
      | element_of_collection(f10(X1,f21(X0,top_of_basis(X1)),X2),X1)
      | ~ element_of_set(X2,f21(X0,top_of_basis(X1)))
      | connected_space(X0,top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f3079,f163]) ).

fof(f3086,plain,
    ! [X0,X1,X2] :
      ( ~ sQ17_spl
      | element_of_set(f11(X2,intersection_of_members(X1)),f21(X0,X1))
      | element_of_collection(intersection_of_members(X1),top_of_basis(X2))
      | connected_space(X0,X1) ),
    inference(resolution,[status(thm)],[f3079,f291]) ).

fof(f3087,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f10(X4,union_of_members(subspace_topology(X0,X1,X3)),X2),X4)
      | ~ element_of_set(X2,union_of_members(subspace_topology(X0,X1,X3)))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f800,f163]) ).

fof(f3088,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(f11(X3,intersection_of_members(top_of_basis(X2))),union_of_members(subspace_topology(X0,X1,X4)))
      | element_of_collection(intersection_of_members(top_of_basis(X2)),top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f800,f291]) ).

fof(f3089,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ86_spl
      | element_of_collection(f10(X2,union_of_members(subspace_topology(X0,X1,X3)),X4),X2)
      | topological_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3087,f2994]) ).

fof(f3090,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ51_spl
      | ~ sQ78_spl
      | element_of_collection(f10(X3,f10(top_of_basis(X3),boundary(X4,X0,X1),X5),X2),X3)
      | ~ element_of_set(X2,f10(top_of_basis(X3),boundary(X4,X0,X1),X5))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f3074,f163]) ).

fof(f3091,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ51_spl
      | ~ sQ78_spl
      | element_of_set(f11(X3,intersection_of_members(X2)),f10(X2,boundary(X4,X0,X1),X5))
      | element_of_collection(intersection_of_members(X2),top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f3074,f291]) ).

fof(f3094,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_collection(f10(X4,union_of_members(top_of_basis(subspace_topology(X0,X1,X3))),X2),X4)
      | ~ element_of_set(X2,union_of_members(top_of_basis(subspace_topology(X0,X1,X3))))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f799,f163]) ).

fof(f3095,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(f11(X3,intersection_of_members(top_of_basis(X2))),union_of_members(top_of_basis(subspace_topology(X0,X1,X4))))
      | element_of_collection(intersection_of_members(top_of_basis(X2)),top_of_basis(X3))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f799,f291]) ).

fof(f3096,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ86_spl
      | element_of_collection(f10(X2,union_of_members(top_of_basis(subspace_topology(X0,X1,X3))),X4),X2)
      | topological_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3094,f2994]) ).

fof(f3097,plain,
    ! [X0,X1,X2] :
      ( ~ sQ88_spl
      | ~ open_covering(f5(X0,f24(X1,X2)),X1,X2)
      | ~ finite(f5(X0,f24(X1,X2)))
      | compact_space(X1,X2)
      | element_of_collection(f4(X0,f24(X1,X2)),f24(X1,X2))
      | topological_space(X0,f24(X1,X2)) ),
    inference(resolution,[status(thm)],[f3052,f2490]) ).

fof(f3098,plain,
    ! [X0,X1] :
      ( ~ sQ24_spl
      | ~ sQ88_spl
      | element_of_collection(union_of_members(f5(X0,X1)),X1)
      | element_of_collection(f4(X0,X1),X1)
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f3052,f1429]) ).

fof(f3099,plain,
    ! [X0,X1,X2] :
      ( ~ sQ17_spl
      | ~ sQ23_spl
      | connected_space(X0,X1)
      | ~ disjoint_s(f21(X0,X1),f22(X0,X1))
      | equal_sets(f22(X0,X1),empty_set)
      | equal_sets(f21(X0,X1),empty_set)
      | ~ topological_space(X0,X2)
      | separation(f21(X0,X1),f22(X0,X1),X0,X2) ),
    inference(resolution,[status(thm)],[f2628,f3080]) ).

fof(f3100,plain,
    ! [X0,X1,X2] :
      ( ~ sQ17_spl
      | ~ sQ23_spl
      | connected_space(X0,X1)
      | equal_sets(f22(X0,X1),empty_set)
      | equal_sets(f21(X0,X1),empty_set)
      | ~ topological_space(X0,X2)
      | separation(f21(X0,X1),f22(X0,X1),X0,X2) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3099,f3084]) ).

fof(f3101,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ74_spl
      | element_of_collection(f6(X0,X1,X2,X3,X4),X1)
      | ~ element_of_collection(X4,X1)
      | ~ element_of_collection(X3,X1)
      | ~ element_of_set(X2,X0)
      | ~ basis(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f155,f2474]) ).

fof(f3102,plain,
    ! [X0,X1,X2] :
      ( ~ sQ74_spl
      | element_of_collection(f10(X1,X0,X2),X1)
      | ~ element_of_collection(X0,top_of_basis(X1)) ),
    inference(backward_subsumption_resolution,[status(thm)],[f163,f2474]) ).

fof(f3103,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ74_spl
      | ~ open(X0,X2,X3)
      | neighborhood(X0,X1,X2,X3) ),
    inference(backward_subsumption_resolution,[status(thm)],[f2491,f2474]) ).

fof(f3104,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ74_spl
      | element_of_collection(f6(X0,X1,X4,X2,X3),X1)
      | ~ element_of_collection(X3,X1)
      | ~ element_of_collection(X2,X1)
      | ~ basis(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3101,f2474]) ).

fof(f3105,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ23_spl
      | ~ sQ74_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(backward_subsumption_resolution,[status(thm)],[f2628,f2512]) ).

fof(f3106,plain,
    ! [X0,X1] :
      ( ~ sQ74_spl
      | open_covering(f24(X0,X1),X0,X1)
      | compact_space(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f263,f2512]) ).

fof(f3107,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ74_spl
      | neighborhood(f16(X0,X1,X2,X3),X0,X2,X3)
      | limit_point(X0,X1,X2,X3) ),
    inference(backward_subsumption_resolution,[status(thm)],[f2503,f2512]) ).

fof(f3108,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ74_spl
      | eq_p(X4,X0)
      | limit_point(X0,X1,X2,X3) ),
    inference(backward_subsumption_resolution,[status(thm)],[f2508,f2512]) ).

fof(f3109,plain,
    ! [X0,X1,X2] :
      ( ~ sQ74_spl
      | ~ compact_space(X0,subspace_topology(X1,X2,X0))
      | compact_set(X0,X1,X2) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2502,f2512]) ).

fof(f3110,plain,
    ! [X0,X1,X2] :
      ( ~ sQ74_spl
      | ~ sQ90_spl
      | disjoint_s(f17(empty_set,X2,X0,X1),f18(empty_set,X2,X0,X1))
      | eq_p(X0,X1) ),
    inference(resolution,[status(thm)],[f3059,f2482]) ).

fof(f3111,plain,
    ! [X0,X1,X2] :
      ( ~ sQ74_spl
      | ~ sQ90_spl
      | neighborhood(f17(empty_set,X2,X0,X1),X0,empty_set,X2)
      | eq_p(X0,X1) ),
    inference(resolution,[status(thm)],[f3059,f2484]) ).

fof(f3112,plain,
    ! [X0,X1,X2] :
      ( ~ sQ74_spl
      | ~ sQ90_spl
      | neighborhood(f18(empty_set,X2,X0,X1),X1,empty_set,X2)
      | eq_p(X0,X1) ),
    inference(resolution,[status(thm)],[f3059,f2483]) ).

fof(f3114,plain,
    ! [X0,X1] :
      ( ~ sQ74_spl
      | element_of_collection(f8(X0,X1),X1)
      | basis(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f158,f3116]) ).

fof(f3115,plain,
    ! [X0,X1] :
      ( ~ sQ74_spl
      | element_of_collection(f9(X0,X1),X1)
      | basis(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f159,f3116]) ).

fof(f3116,plain,
    ! [X0,X1] :
      ( ~ sQ74_spl
      | equal_sets(union_of_members(X0),X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f121,f2512]) ).

fof(f3117,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ23_spl
      | equal_sets(X0,intersection_of_sets(X1,f12(X2,X3,X1,X0))) ),
    inference(forward_subsumption_resolution,[status(thm)],[f173,f1425]) ).

fof(f3118,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ74_spl
      | ~ neighborhood(X7,X0,X5,X6)
      | ~ limit_point(X0,X4,X5,X6)
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f3108,f207]) ).

fof(f3122,plain,
    ! [X0,X1] :
      ( ~ sQ74_spl
      | subset_collections(f24(X0,X1),X1)
      | compact_space(X0,X1) ),
    inference(resolution,[status(thm)],[f3106,f254]) ).

fof(f3123,plain,
    ! [X0,X1,X2] :
      ( ~ sQ74_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)],[f3122,f2490]) ).

fof(f3124,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ74_spl
      | open(f16(X0,X1,X2,X3),X2,X3)
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f3107,f197]) ).

fof(f3125,plain,
    ! [X0,X1,X2] :
      ( ~ sQ74_spl
      | ~ sQ90_spl
      | open(f17(empty_set,X2,X0,X1),empty_set,X2)
      | eq_p(X0,X1) ),
    inference(resolution,[status(thm)],[f3111,f197]) ).

fof(f3126,plain,
    ! [X0,X1,X2] :
      ( ~ sQ17_spl
      | ~ sQ23_spl
      | ~ sQ74_spl
      | connected_space(X0,X1)
      | ~ disjoint_s(f21(X0,X1),f22(X0,X1))
      | equal_sets(f22(X0,X1),empty_set)
      | equal_sets(f21(X0,X1),empty_set)
      | separation(f21(X0,X1),f22(X0,X1),X0,X2) ),
    inference(resolution,[status(thm)],[f3105,f3080]) ).

fof(f3127,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ23_spl
      | ~ sQ74_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)],[f3105,f3117]) ).

fof(f3128,plain,
    ! [X0,X1,X2] :
      ( ~ sQ17_spl
      | ~ sQ23_spl
      | ~ sQ74_spl
      | connected_space(X0,X1)
      | equal_sets(f22(X0,X1),empty_set)
      | equal_sets(f21(X0,X1),empty_set)
      | separation(f21(X0,X1),f22(X0,X1),X0,X2) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3126,f3084]) ).

fof(f3129,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ17_spl
      | ~ sQ23_spl
      | ~ sQ74_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)],[f3127,f3084]) ).

fof(f3130,plain,
    ! [X0,X1,X2] :
      ( ~ sQ74_spl
      | ~ sQ90_spl
      | open(f18(empty_set,X2,X0,X1),empty_set,X2)
      | eq_p(X0,X1) ),
    inference(resolution,[status(thm)],[f3112,f197]) ).

fof(f3131,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ23_spl
      | ~ sQ74_spl
      | ~ sQ90_spl
      | equal_sets(f18(empty_set,X2,X0,X1),empty_set)
      | equal_sets(f17(empty_set,X2,X0,X1),empty_set)
      | separation(f17(empty_set,X2,X0,X1),f18(empty_set,X2,X0,X1),intersection_of_sets(X3,f12(X4,X5,X3,union_of_sets(f17(empty_set,X2,X0,X1),f18(empty_set,X2,X0,X1)))),X6)
      | eq_p(X0,X1) ),
    inference(resolution,[status(thm)],[f3110,f3127]) ).

fof(f3133,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ74_spl
      | ~ sQ90_spl
      | eq_p(X1,X2)
      | neighborhood(f18(empty_set,X0,X1,X2),X3,empty_set,X0) ),
    inference(resolution,[status(thm)],[f3103,f3130]) ).

fof(f3134,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ74_spl
      | ~ sQ90_spl
      | eq_p(X1,X2)
      | neighborhood(f17(empty_set,X0,X1,X2),X3,empty_set,X0) ),
    inference(resolution,[status(thm)],[f3103,f3125]) ).

fof(f3135,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ74_spl
      | limit_point(X0,X1,X2,X3)
      | neighborhood(f16(X0,X1,X2,X3),X4,X2,X3) ),
    inference(resolution,[status(thm)],[f3103,f3124]) ).

fof(f3138,plain,
    ! [X0,X1,X2] :
      ( ~ sQ12_spl
      | ~ sQ23_spl
      | closed(X0,X1,X2) ),
    inference(backward_subsumption_resolution,[status(thm)],[f417,f3140]) ).

fof(f3139,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ74_spl
      | ~ sQ12_spl
      | ~ sQ23_spl
      | neighborhood(X0,X1,X2,X3) ),
    inference(backward_subsumption_resolution,[status(thm)],[f3103,f3140]) ).

fof(f3140,plain,
    ! [X0,X1,X2] :
      ( ~ sQ12_spl
      | ~ sQ23_spl
      | open(X0,X1,X2) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1381,f1425]) ).

fof(f3141,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ74_spl
      | ~ sQ12_spl
      | ~ sQ23_spl
      | ~ limit_point(X0,X4,X5,X6)
      | limit_point(X0,X1,X2,X3) ),
    inference(backward_subsumption_resolution,[status(thm)],[f3118,f3139]) ).

fof(f3142,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ74_spl
      | ~ sQ12_spl
      | ~ sQ23_spl
      | ~ eq_p(f15(X0,X1,X2,X3,X4),X0)
      | ~ limit_point(X0,X1,X2,X3) ),
    inference(backward_subsumption_resolution,[status(thm)],[f207,f3139]) ).

fof(f3145,plain,
    ! [X0,X1,X2] :
      ( ~ sQ74_spl
      | ~ subset_collections(X1,X0)
      | ~ topological_space(X2,X1)
      | finer(X0,X1,X2) ),
    inference(forward_subsumption_resolution,[status(thm)],[f152,f2512]) ).

fof(f3146,plain,
    ! [X0,X1,X2] :
      ( ~ sQ74_spl
      | compact_space(X1,X0)
      | ~ topological_space(X2,f24(X1,X0))
      | finer(X0,f24(X1,X0),X2) ),
    inference(resolution,[status(thm)],[f3145,f3122]) ).

fof(f3147,plain,
    ! [X0,X1,X2] :
      ( ~ sQ74_spl
      | compact_space(X1,X0)
      | finer(X0,f24(X1,X0),X2) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3146,f2512]) ).

fof(f3148,plain,
    ! [X0,X1,X2] :
      ( ~ sQ74_spl
      | ~ connected_space(X0,subspace_topology(X1,X2,X0))
      | ~ subset_sets(X0,X1)
      | connected_set(X0,X1,X2) ),
    inference(forward_subsumption_resolution,[status(thm)],[f250,f2512]) ).

fof(f3150,plain,
    ! [X0,X1,X2] :
      ( ~ sQ17_spl
      | ~ sQ23_spl
      | ~ sQ74_spl
      | connected_space(X0,X1)
      | equal_sets(f21(X0,X1),empty_set)
      | separation(f21(X0,X1),f22(X0,X1),X0,X2) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3128,f3081]) ).

fof(f3154,plain,
    ! [X0,X1,X2] :
      ( ~ sQ17_spl
      | ~ sQ23_spl
      | ~ sQ74_spl
      | ~ connected_space(X0,X2)
      | connected_space(X0,X1)
      | equal_sets(f21(X0,X1),empty_set) ),
    inference(resolution,[status(thm)],[f3150,f243]) ).

fof(f3156,plain,
    ! [X0,X1,X2] :
      ( ~ sQ17_spl
      | ~ sQ23_spl
      | ~ sQ74_spl
      | ~ connected_space(X0,X2)
      | connected_space(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f3154,f3082]) ).

fof(f3157,plain,
    ! [X0,X1,X2] :
      ( ~ sQ17_spl
      | ~ sQ23_spl
      | ~ sQ74_spl
      | connected_space(X0,X1)
      | separation(f21(X0,X1),f22(X0,X1),X0,X2) ),
    inference(backward_subsumption_resolution,[status(thm)],[f3150,f3082]) ).

fof(f3158,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ74_spl
      | ~ sQ12_spl
      | ~ sQ23_spl
      | ~ disjoint_s(X3,X2)
      | ~ neighborhood(X2,f20(X0,X1),X0,X1)
      | hausdorff(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2501,f3139]) ).

fof(f3159,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ74_spl
      | ~ sQ12_spl
      | ~ sQ23_spl
      | ~ disjoint_s(X2,X3)
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f3158,f3139]) ).

fof(f3160,definition,
    ! [X2,X3] :
      ( sQ91_spl
    <=> ~ disjoint_s(X2,X3) ),
    introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).

fof(f3161,plain,
    ! [X0,X1] :
      ( ~ sQ91_spl
      | ~ disjoint_s(X0,X1) ),
    inference(component_clause,[status(thm)],[f3160]) ).

fof(f3163,plain,
    ( ~ sQ74_spl
    | ~ sQ12_spl
    | ~ sQ23_spl
    | sQ91_spl
    | sQ76_spl ),
    inference(split_clause,[status(thm)],[f3159,f2562,f3160,f1424,f1380,f2473]) ).

fof(f3164,plain,
    ! [X0,X1,X2] :
      ( ~ sQ74_spl
      | ~ element_of_collection(X0,X2)
      | open(X0,X1,X2) ),
    inference(forward_subsumption_resolution,[status(thm)],[f140,f2512]) ).

fof(f3165,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ74_spl
      | ~ sQ91_spl
      | eq_p(X2,X3)
      | ~ hausdorff(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f2482,f3161]) ).

fof(f3166,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ91_spl
      | ~ separation(X0,X1,X2,X3) ),
    inference(backward_subsumption_resolution,[status(thm)],[f238,f3161]) ).

fof(f3167,plain,
    ! [X0,X1] :
      ( ~ sQ74_spl
      | ~ sQ90_spl
      | ~ sQ91_spl
      | eq_p(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f3110,f3161]) ).

fof(f3168,plain,
    ! [X0,X1] :
      ( ~ sQ17_spl
      | ~ sQ91_spl
      | connected_space(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f3084,f3161]) ).

fof(f3169,definition,
    ! [X0,X1] :
      ( sQ92_spl
    <=> ~ hausdorff(X0,X1) ),
    introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).

fof(f3170,plain,
    ! [X0,X1] :
      ( ~ sQ92_spl
      | ~ hausdorff(X0,X1) ),
    inference(component_clause,[status(thm)],[f3169]) ).

fof(f3172,definition,
    ! [X2,X3] :
      ( sQ93_spl
    <=> eq_p(X2,X3) ),
    introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).

fof(f3173,plain,
    ! [X0,X1] :
      ( ~ sQ93_spl
      | eq_p(X0,X1) ),
    inference(component_clause,[status(thm)],[f3172]) ).

fof(f3175,plain,
    ( ~ sQ74_spl
    | ~ sQ91_spl
    | sQ93_spl
    | sQ92_spl ),
    inference(split_clause,[status(thm)],[f3165,f3169,f3172,f3160,f2473]) ).

fof(f3176,plain,
    ( ~ sQ92_spl
    | ~ sQ76_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3170,f2563]) ).

fof(f3177,plain,
    ( ~ sQ92_spl
    | ~ sQ76_spl ),
    inference(contradiction_clause,[status(thm)],[f3176]) ).

fof(f3178,plain,
    ! [X0,X1,X2] :
      ( ~ sQ74_spl
      | ~ sQ23_spl
      | open(X0,X1,X2) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3164,f1425]) ).

fof(f3180,plain,
    ! [X0,X1,X2] :
      ( ~ sQ74_spl
      | ~ sQ17_spl
      | ~ sQ91_spl
      | ~ subset_sets(X0,X1)
      | connected_set(X0,X1,X2) ),
    inference(backward_subsumption_resolution,[status(thm)],[f3148,f3168]) ).

fof(f3181,plain,
    ! [X0,X1,X2] :
      ( ~ sQ74_spl
      | ~ sQ17_spl
      | ~ sQ91_spl
      | ~ sQ37_spl
      | connected_set(X0,X1,X2) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3180,f1492]) ).

fof(f3182,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ74_spl
      | ~ sQ23_spl
      | neighborhood(X0,X1,X2,X3) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3103,f3178]) ).

fof(f3183,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ74_spl
      | ~ sQ23_spl
      | ~ limit_point(X0,X4,X5,X6)
      | limit_point(X0,X1,X2,X3) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3118,f3182]) ).

fof(f3184,plain,
    ! [X0,X1,X2] :
      ( ~ sQ11_spl
      | ~ sQ74_spl
      | ~ subset_collections(X1,X0)
      | finer(X0,X1,X2) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1377,f2512]) ).

fof(f3186,plain,
    ! [X0,X1,X2] :
      ( ~ sQ74_spl
      | ~ sQ23_spl
      | closed(X0,X1,X2) ),
    inference(forward_subsumption_resolution,[status(thm)],[f417,f3178]) ).

fof(f3187,plain,
    ! [X0,X1] :
      ( ~ sQ74_spl
      | ~ eq_p(f19(X0,X1),f20(X0,X1))
      | hausdorff(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f222,f2512]) ).

fof(f3188,plain,
    ! [X0,X1] :
      ( ~ sQ93_spl
      | ~ sQ74_spl
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f3187,f3173]) ).

fof(f3189,plain,
    ( ~ sQ93_spl
    | ~ sQ74_spl
    | sQ76_spl ),
    inference(split_clause,[status(thm)],[f3188,f2562,f2473,f3172]) ).

fof(f3190,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ37_spl
      | ~ element_of_set(X0,f14(X1,X2,X3,X0))
      | ~ topological_space(X2,X3)
      | element_of_set(X0,closure(X1,X2,X3)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f193,f1492]) ).

fof(f3191,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ37_spl
      | element_of_set(X0,X4)
      | ~ closed(X4,X2,X3)
      | ~ element_of_set(X0,closure(X1,X2,X3)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f190,f1492]) ).

fof(f3192,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ37_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)],[f2520,f1492]) ).

fof(f3193,plain,
    ! [X0,X1,X2] :
      ( ~ sQ37_spl
      | ~ compact_space(X0,subspace_topology(X1,X2,X0))
      | ~ topological_space(X1,X2)
      | compact_set(X0,X1,X2) ),
    inference(forward_subsumption_resolution,[status(thm)],[f270,f1492]) ).

fof(f3194,plain,
    ! [X0,X1,X2] :
      ( ~ sQ23_spl
      | ~ topological_space(X1,X2)
      | open(X0,X1,X2) ),
    inference(forward_subsumption_resolution,[status(thm)],[f140,f1425]) ).

fof(f3195,plain,
    ! [X0,X1,X2] :
      ( ~ sQ37_spl
      | ~ connected_space(X0,subspace_topology(X1,X2,X0))
      | ~ topological_space(X1,X2)
      | connected_set(X0,X1,X2) ),
    inference(forward_subsumption_resolution,[status(thm)],[f250,f1492]) ).

fof(f3196,plain,
    ! [X0,X1] :
      ( ~ sQ23_spl
      | ~ element_of_collection(union_of_members(f5(X0,X1)),X1)
      | ~ element_of_collection(intersection_of_sets(f3(X0,X1),f4(X0,X1)),X1)
      | ~ element_of_collection(X0,X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f134,f1425]) ).

fof(f3197,plain,
    ! [X0,X1] :
      ( ~ sQ23_spl
      | topological_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f169,f1425]) ).

fof(f3198,plain,
    ! [X0,X1,X2] :
      ( ~ sQ23_spl
      | element_of_set(X0,f10(X2,X1,X0))
      | ~ element_of_set(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f162,f1425]) ).

fof(f3199,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ14_spl
      | ~ sQ37_spl
      | closed(f14(X1,X2,X3,X0),X2,X3)
      | element_of_set(X0,closure(X1,X2,X3)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1389,f1492]) ).

fof(f3200,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ15_spl
      | ~ sQ37_spl
      | neighborhood(f16(X0,X1,X2,X3),X0,X2,X3)
      | limit_point(X0,X1,X2,X3) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1393,f1492]) ).

fof(f3202,plain,
    ! [X0,X1,X2] :
      ( ~ sQ23_spl
      | element_of_set(X0,X2)
      | ~ element_of_set(X0,intersection_of_members(X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f118,f1425]) ).

fof(f3203,plain,
    ! [X0,X1] :
      ( ~ sQ23_spl
      | subset_collections(f5(X0,X1),X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2627,f1425]) ).

fof(f3204,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ23_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)],[f154,f1425]) ).

fof(f3205,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ79_spl
      | ~ sQ37_spl
      | eq_p(X4,X0)
      | ~ topological_space(X2,X3)
      | limit_point(X0,X1,X2,X3) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2652,f1492]) ).

fof(f3206,plain,
    ! [X0] :
      ( ~ sQ89_spl
      | equal_sets(union_of_members(X0),empty_set) ),
    inference(resolution,[status(thm)],[f121,f3055]) ).

fof(f3207,plain,
    ! [X0,X1] :
      ( ~ sQ23_spl
      | equal_sets(union_of_members(X0),X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f121,f3197]) ).

fof(f3208,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ23_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)],[f215,f3197]) ).

fof(f3209,plain,
    ! [X0,X1,X2] :
      ( ~ sQ37_spl
      | ~ sQ23_spl
      | ~ element_of_collection(X2,X1)
      | ~ element_of_set(f7(X0,X1),X2)
      | basis(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3062,f3207]) ).

fof(f3210,plain,
    ! [X0,X1,X2] :
      ( ~ sQ86_spl
      | ~ sQ37_spl
      | ~ sQ23_spl
      | ~ element_of_collection(union_of_members(X2),X1)
      | basis(X0,X1) ),
    inference(resolution,[status(thm)],[f3209,f2994]) ).

fof(f3211,plain,
    ! [X0,X1] :
      ( ~ sQ83_spl
      | ~ sQ37_spl
      | ~ sQ23_spl
      | ~ element_of_collection(empty_set,X1)
      | basis(X0,X1) ),
    inference(resolution,[status(thm)],[f3209,f2874]) ).

fof(f3212,plain,
    ! [X0,X1] :
      ( ~ sQ86_spl
      | ~ sQ37_spl
      | ~ sQ23_spl
      | basis(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3210,f1425]) ).

fof(f3213,plain,
    ! [X0,X1] :
      ( ~ sQ83_spl
      | ~ sQ37_spl
      | ~ sQ23_spl
      | basis(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3211,f1425]) ).

fof(f3214,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ51_spl
      | ~ sQ37_spl
      | ~ sQ77_spl
      | neighborhood(relative_complement_sets(f14(X1,X2,X3,X0),X2),X4,X2,X3)
      | element_of_set(X0,closure(X1,X2,X3)) ),
    inference(backward_subsumption_resolution,[status(thm)],[f3071,f2809]) ).

fof(f3215,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ37_spl
      | ~ sQ23_spl
      | ~ sQ77_spl
      | ~ element_of_collection(relative_complement_sets(f14(X1,X2,X3,X0),X2),X5)
      | basis(X4,X5)
      | element_of_set(X0,closure(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2809,f3209]) ).

fof(f3216,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ37_spl
      | ~ sQ23_spl
      | ~ sQ77_spl
      | basis(X4,X5)
      | element_of_set(X0,closure(X1,X2,X3)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3215,f1425]) ).

fof(f3217,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ37_spl
      | ~ sQ23_spl
      | ~ sQ77_spl
      | ~ element_of_collection(closure(X4,X5,X6),X3)
      | basis(X2,X3)
      | basis(X0,X1) ),
    inference(resolution,[status(thm)],[f3216,f3209]) ).

fof(f3218,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ23_spl
      | ~ sQ37_spl
      | ~ sQ77_spl
      | ~ element_of_set(X2,closure(X3,X4,X5))
      | element_of_set(X2,boundary(X3,X4,X5))
      | basis(X0,X1) ),
    inference(resolution,[status(thm)],[f3216,f3208]) ).

fof(f3219,definition,
    ! [X0,X1] :
      ( sQ94_spl
    <=> basis(X0,X1) ),
    introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).

fof(f3220,plain,
    ! [X0,X1] :
      ( ~ sQ94_spl
      | basis(X0,X1) ),
    inference(component_clause,[status(thm)],[f3219]) ).

fof(f3222,definition,
    ! [X2,X3,X4,X5,X6] :
      ( sQ95_spl
    <=> ( ~ element_of_collection(closure(X4,X5,X6),X3)
        | basis(X2,X3) ) ),
    introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).

fof(f3223,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ95_spl
      | ~ element_of_collection(closure(X2,X3,X4),X1)
      | basis(X0,X1) ),
    inference(component_clause,[status(thm)],[f3222]) ).

fof(f3225,plain,
    ( ~ sQ37_spl
    | ~ sQ23_spl
    | ~ sQ77_spl
    | sQ95_spl
    | sQ94_spl ),
    inference(split_clause,[status(thm)],[f3217,f3219,f3222,f2643,f1424,f1491]) ).

fof(f3226,plain,
    ( ~ sQ23_spl
    | ~ sQ37_spl
    | ~ sQ77_spl
    | sQ78_spl
    | sQ94_spl ),
    inference(split_clause,[status(thm)],[f3218,f3219,f2647,f2643,f1491,f1424]) ).

fof(f3227,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ84_spl
      | ~ sQ51_spl
      | element_of_set(X4,X2)
      | subset_sets(X1,f14(X1,X2,X3,X0))
      | element_of_set(X0,closure(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2671,f2900]) ).

fof(f3228,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ84_spl
      | ~ sQ51_spl
      | element_of_set(X4,X2)
      | closed(f14(X1,X2,X3,X0),X2,X3)
      | element_of_set(X0,closure(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f2672,f2900]) ).

fof(f3229,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ84_spl
      | subset_sets(X3,f2(X1,X0))
      | element_of_set(X2,union_of_members(X1))
      | element_of_set(X0,intersection_of_members(X1)) ),
    inference(resolution,[status(thm)],[f289,f2900]) ).

fof(f3230,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ84_spl
      | subset_sets(X5,f12(X1,X2,X3,f2(subspace_topology(X1,X2,X3),X0)))
      | element_of_set(X4,union_of_members(X2))
      | element_of_set(X0,intersection_of_members(subspace_topology(X1,X2,X3))) ),
    inference(resolution,[status(thm)],[f1582,f2900]) ).

fof(f3231,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ84_spl
      | subset_sets(X3,f1(X0,f11(X1,union_of_members(X0))))
      | element_of_set(X2,union_of_members(X0))
      | element_of_collection(union_of_members(X0),top_of_basis(X1)) ),
    inference(resolution,[status(thm)],[f344,f2900]) ).

fof(f3232,plain,
    ! [X0,X1,X2] :
      ( element_of_set(f11(X2,f1(X0,f11(X1,union_of_members(X0)))),union_of_members(X0))
      | element_of_collection(union_of_members(X0),top_of_basis(X1))
      | element_of_collection(f1(X0,f11(X1,union_of_members(X0))),top_of_basis(X2)) ),
    inference(resolution,[status(thm)],[f165,f344]) ).

fof(f3233,plain,
    ! [X0,X1,X2,X3,X4] :
      ( element_of_set(f11(X4,f12(X0,X1,X2,f2(subspace_topology(X0,X1,X2),X3))),union_of_members(X1))
      | element_of_set(X3,intersection_of_members(subspace_topology(X0,X1,X2)))
      | element_of_collection(f12(X0,X1,X2,f2(subspace_topology(X0,X1,X2),X3)),top_of_basis(X4)) ),
    inference(resolution,[status(thm)],[f165,f1582]) ).

fof(f3235,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ51_spl
      | ~ sQ84_spl
      | closed(f14(X3,union_of_members(X0),X4,X2),union_of_members(X0),X4)
      | element_of_set(X2,closure(X3,union_of_members(X0),X4))
      | element_of_collection(f1(X0,X1),X0) ),
    inference(resolution,[status(thm)],[f2924,f2672]) ).

fof(f3236,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ51_spl
      | ~ sQ84_spl
      | subset_sets(X3,f14(X3,union_of_members(X0),X4,X2))
      | element_of_set(X2,closure(X3,union_of_members(X0),X4))
      | element_of_collection(f1(X0,X1),X0) ),
    inference(resolution,[status(thm)],[f2924,f2671]) ).

fof(f3237,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ51_spl
      | ~ sQ84_spl
      | ~ sQ78_spl
      | closed(f14(X5,closure(X1,X2,X3),X6,X4),closure(X1,X2,X3),X6)
      | element_of_set(X4,closure(X5,closure(X1,X2,X3),X6))
      | element_of_set(X0,boundary(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f3008,f2672]) ).

fof(f3238,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ51_spl
      | ~ sQ84_spl
      | ~ sQ78_spl
      | subset_sets(X5,f14(X5,closure(X1,X2,X3),X6,X4))
      | element_of_set(X4,closure(X5,closure(X1,X2,X3),X6))
      | element_of_set(X0,boundary(X1,X2,X3)) ),
    inference(resolution,[status(thm)],[f3008,f2671]) ).

fof(f3239,plain,
    ! [X0,X1,X2] :
      ( ~ sQ90_spl
      | disjoint_s(f17(empty_set,X2,X0,X1),f18(empty_set,X2,X0,X1))
      | eq_p(X0,X1)
      | ~ element_of_set(X1,empty_set)
      | ~ element_of_set(X0,empty_set) ),
    inference(resolution,[status(thm)],[f219,f3059]) ).

fof(f3240,plain,
    ! [X0,X1,X2] :
      ( ~ sQ90_spl
      | ~ sQ83_spl
      | disjoint_s(f17(empty_set,X2,X1,X0),f18(empty_set,X2,X1,X0))
      | eq_p(X1,X0)
      | ~ element_of_set(X0,empty_set) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3239,f2874]) ).

fof(f3241,plain,
    ! [X0,X1,X2] :
      ( ~ sQ90_spl
      | neighborhood(f17(empty_set,X2,X0,X1),X0,empty_set,X2)
      | eq_p(X0,X1)
      | ~ element_of_set(X1,empty_set)
      | ~ element_of_set(X0,empty_set) ),
    inference(resolution,[status(thm)],[f217,f3059]) ).

fof(f3242,plain,
    ! [X0,X1,X2] :
      ( ~ sQ90_spl
      | ~ sQ83_spl
      | neighborhood(f17(empty_set,X2,X1,X0),X1,empty_set,X2)
      | eq_p(X1,X0)
      | ~ element_of_set(X0,empty_set) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3241,f2874]) ).

fof(f3243,plain,
    ! [X0,X1,X2] :
      ( ~ sQ90_spl
      | neighborhood(f18(empty_set,X2,X0,X1),X1,empty_set,X2)
      | eq_p(X0,X1)
      | ~ element_of_set(X1,empty_set)
      | ~ element_of_set(X0,empty_set) ),
    inference(resolution,[status(thm)],[f218,f3059]) ).

fof(f3244,plain,
    ! [X0,X1,X2] :
      ( ~ sQ90_spl
      | ~ sQ83_spl
      | neighborhood(f18(empty_set,X2,X1,X0),X0,empty_set,X2)
      | eq_p(X1,X0)
      | ~ element_of_set(X0,empty_set) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3243,f2874]) ).

fof(f3245,plain,
    ! [X0,X1,X2,X3,X4] :
      ( subset_sets(X4,X2)
      | ~ element_of_set(X0,union_of_members(subspace_topology(X2,X3,X4)))
      | element_of_set(X0,union_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f116,f876]) ).

fof(f3246,plain,
    ! [X0,X1,X2,X3,X4] :
      ( topological_space(X2,X3)
      | ~ element_of_set(X0,union_of_members(subspace_topology(X2,X3,X4)))
      | element_of_set(X0,union_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f116,f800]) ).

fof(f3247,plain,
    ! [X0,X1,X2,X3,X4] :
      ( subset_sets(X2,X3)
      | ~ element_of_set(X0,interior(X2,X3,X4))
      | element_of_set(X0,union_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f116,f899]) ).

fof(f3248,plain,
    ! [X0,X1,X2,X3,X4] :
      ( topological_space(X3,X4)
      | ~ element_of_set(X0,interior(X2,X3,X4))
      | element_of_set(X0,union_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f116,f898]) ).

fof(f3249,plain,
    ! [X0,X1,X2,X3,X4] :
      ( subset_sets(X2,X3)
      | ~ element_of_set(X0,closure(X2,X3,X4))
      | element_of_set(X0,union_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f116,f1071]) ).

fof(f3250,plain,
    ! [X0,X1,X2,X3,X4] :
      ( topological_space(X3,X4)
      | ~ element_of_set(X0,closure(X2,X3,X4))
      | element_of_set(X0,union_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f116,f900]) ).

fof(f3251,plain,
    ! [X0,X1,X2,X3,X4] :
      ( topological_space(X3,X4)
      | ~ element_of_set(X0,boundary(X2,X3,X4))
      | element_of_set(X0,union_of_members(top_of_basis(X1))) ),
    inference(resolution,[status(thm)],[f116,f1072]) ).

fof(f3254,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ51_spl
      | ~ sQ78_spl
      | topological_space(X3,X4)
      | ~ element_of_set(X0,f10(X1,boundary(X2,X3,X4),X5))
      | element_of_set(X0,union_of_members(X1)) ),
    inference(resolution,[status(thm)],[f116,f3074]) ).

fof(f3255,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ51_spl
      | topological_space(X3,X4)
      | ~ element_of_set(X0,f10(X1,closure(X2,X3,X4),X5))
      | element_of_set(X0,union_of_members(X1)) ),
    inference(resolution,[status(thm)],[f116,f2717]) ).

fof(f3256,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ69_spl
      | subset_sets(X2,X3)
      | ~ element_of_set(X0,f10(X1,interior(X2,X3,X4),X5))
      | element_of_set(X0,union_of_members(X1)) ),
    inference(resolution,[status(thm)],[f116,f2719]) ).

fof(f3257,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ52_spl
      | topological_space(X3,X4)
      | ~ element_of_set(X0,f10(X1,interior(X2,X3,X4),X5))
      | element_of_set(X0,union_of_members(X1)) ),
    inference(resolution,[status(thm)],[f116,f2718]) ).

fof(f3258,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ71_spl
      | subset_sets(X2,X3)
      | element_of_set(X0,union_of_members(top_of_basis(X1))) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3245,f2380]) ).

fof(f3259,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ53_spl
      | topological_space(X2,X3)
      | element_of_set(X0,union_of_members(top_of_basis(X1))) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3246,f2204]) ).

fof(f3260,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ69_spl
      | subset_sets(X2,X3)
      | element_of_set(X0,union_of_members(top_of_basis(X1))) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3247,f2359]) ).

fof(f3261,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ52_spl
      | topological_space(X2,X3)
      | element_of_set(X0,union_of_members(top_of_basis(X1))) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3248,f2193]) ).

fof(f3262,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ51_spl
      | topological_space(X2,X3)
      | element_of_set(X0,union_of_members(top_of_basis(X1))) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3250,f2185]) ).

fof(f3263,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ51_spl
      | ~ sQ78_spl
      | topological_space(X2,X3)
      | element_of_set(X0,union_of_members(top_of_basis(X1))) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3251,f2696]) ).

fof(f3264,plain,
    ! [X0] :
      ( ~ sQ89_spl
      | separation(f21(empty_set,X0),f22(empty_set,X0),empty_set,X0)
      | connected_space(empty_set,X0) ),
    inference(resolution,[status(thm)],[f3055,f244]) ).

fof(f3265,plain,
    ! [X0] :
      ( ~ sQ89_spl
      | open_covering(f24(empty_set,X0),empty_set,X0)
      | compact_space(empty_set,X0) ),
    inference(resolution,[status(thm)],[f3055,f263]) ).

fof(f3266,plain,
    ! [X0] :
      ( ~ sQ89_spl
      | element_of_set(f20(empty_set,X0),empty_set)
      | hausdorff(empty_set,X0) ),
    inference(resolution,[status(thm)],[f3055,f221]) ).

fof(f3267,plain,
    ! [X0] :
      ( ~ sQ89_spl
      | element_of_set(f19(empty_set,X0),empty_set)
      | hausdorff(empty_set,X0) ),
    inference(resolution,[status(thm)],[f3055,f220]) ).

fof(f3268,plain,
    ! [X0,X1,X2] :
      ( ~ sQ51_spl
      | ~ sQ87_spl
      | closed(f14(X1,empty_set,X2,X0),empty_set,X2)
      | element_of_set(X0,closure(X1,empty_set,X2)) ),
    inference(resolution,[status(thm)],[f2997,f2672]) ).

fof(f3269,plain,
    ! [X0,X1,X2] :
      ( ~ sQ51_spl
      | ~ sQ87_spl
      | subset_sets(X1,f14(X1,empty_set,X2,X0))
      | element_of_set(X0,closure(X1,empty_set,X2)) ),
    inference(resolution,[status(thm)],[f2997,f2671]) ).

fof(f3273,plain,
    ! [X0] :
      ( ~ sQ90_spl
      | topological_space(empty_set,X0) ),
    inference(resolution,[status(thm)],[f216,f3059]) ).

fof(f3274,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ85_spl
      | topological_space(X2,X3)
      | topological_space(X0,subspace_topology(X1,subspace_topology(X2,X3,X4),X5)) ),
    inference(resolution,[status(thm)],[f259,f2918]) ).

fof(f3275,plain,
    ! [X0] :
      ( ~ sQ89_spl
      | element_of_collection(empty_set,X0) ),
    inference(resolution,[status(thm)],[f124,f3055]) ).

fof(f3276,plain,
    ! [X0,X1] :
      ( ~ sQ89_spl
      | subset_collections(f5(X0,X1),X1)
      | ~ element_of_collection(intersection_of_sets(f3(X0,X1),f4(X0,X1)),X1)
      | ~ element_of_collection(X0,X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f133,f3275]) ).

fof(f3277,plain,
    ! [X0,X1] :
      ( ~ sQ89_spl
      | ~ element_of_collection(union_of_members(f5(X0,X1)),X1)
      | element_of_collection(f4(X0,X1),X1)
      | ~ element_of_collection(X0,X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f132,f3275]) ).

fof(f3278,plain,
    ! [X0,X1] :
      ( ~ sQ89_spl
      | ~ element_of_collection(union_of_members(f5(X0,X1)),X1)
      | element_of_collection(f3(X0,X1),X1)
      | ~ element_of_collection(X0,X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f130,f3275]) ).

fof(f3279,plain,
    ! [X0,X1] :
      ( ~ sQ89_spl
      | subset_collections(f5(X0,X1),X1)
      | element_of_collection(f3(X0,X1),X1)
      | ~ element_of_collection(X0,X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f129,f3275]) ).

fof(f3280,plain,
    ! [X0,X1] :
      ( ~ sQ89_spl
      | ~ element_of_set(X0,empty_set)
      | element_of_set(X0,union_of_members(X1)) ),
    inference(resolution,[status(thm)],[f3275,f116]) ).

fof(f3281,plain,
    ! [X0,X1] :
      ( ~ sQ89_spl
      | ~ sQ83_spl
      | element_of_set(X0,union_of_members(X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3280,f2874]) ).

fof(f3282,plain,
    ! [X0,X1] :
      ( ~ sQ89_spl
      | ~ subset_collections(X0,X1)
      | ~ topological_space(empty_set,X1)
      | open_covering(X0,empty_set,X1) ),
    inference(resolution,[status(thm)],[f258,f3206]) ).

fof(f3283,plain,
    ! [X0,X1] :
      ( ~ sQ89_spl
      | ~ subset_collections(X0,X1)
      | open_covering(X0,empty_set,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3282,f3055]) ).

fof(f3287,plain,
    ! [X0] :
      ( ~ sQ89_spl
      | subset_collections(f24(empty_set,X0),X0)
      | compact_space(empty_set,X0) ),
    inference(resolution,[status(thm)],[f3265,f254]) ).

fof(f3288,plain,
    ! [X0,X1] :
      ( ~ sQ89_spl
      | ~ open_covering(f24(empty_set,f24(X0,X1)),X0,X1)
      | ~ finite(f24(empty_set,f24(X0,X1)))
      | compact_space(X0,X1)
      | compact_space(empty_set,f24(X0,X1)) ),
    inference(resolution,[status(thm)],[f3287,f2490]) ).

fof(f3289,plain,
    ! [X0] :
      ( ~ sQ24_spl
      | ~ sQ89_spl
      | element_of_collection(union_of_members(f24(empty_set,X0)),X0)
      | compact_space(empty_set,X0) ),
    inference(resolution,[status(thm)],[f3287,f1429]) ).

fof(f3291,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ85_spl
      | element_of_collection(X2,subspace_topology(X3,subspace_topology(X0,X1,X4),X5))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f3274,f124]) ).

fof(f3292,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ85_spl
      | equal_sets(union_of_members(subspace_topology(X2,subspace_topology(X0,X1,X3),X4)),X5)
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f3274,f121]) ).

fof(f3293,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ85_spl
      | separation(f21(X2,subspace_topology(X3,subspace_topology(X0,X1,X4),X5)),f22(X2,subspace_topology(X3,subspace_topology(X0,X1,X4),X5)),X2,subspace_topology(X3,subspace_topology(X0,X1,X4),X5))
      | connected_space(X2,subspace_topology(X3,subspace_topology(X0,X1,X4),X5))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f3274,f244]) ).

fof(f3295,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ85_spl
      | element_of_set(f20(X2,subspace_topology(X3,subspace_topology(X0,X1,X4),X5)),X2)
      | hausdorff(X2,subspace_topology(X3,subspace_topology(X0,X1,X4),X5))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f3274,f221]) ).

fof(f3296,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ85_spl
      | element_of_set(f19(X2,subspace_topology(X3,subspace_topology(X0,X1,X4),X5)),X2)
      | hausdorff(X2,subspace_topology(X3,subspace_topology(X0,X1,X4),X5))
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f3274,f220]) ).

fof(f3300,plain,
    ! [X0,X1,X2] :
      ( ~ sQ88_spl
      | ~ open_covering(f5(X0,f24(X1,X2)),X1,X2)
      | ~ finite(f5(X0,f24(X1,X2)))
      | compact_space(X1,X2)
      | element_of_collection(f4(X0,f24(X1,X2)),f24(X1,X2))
      | topological_space(X0,f24(X1,X2)) ),
    inference(resolution,[status(thm)],[f3052,f2490]) ).

fof(f3301,plain,
    ! [X0,X1] :
      ( ~ sQ24_spl
      | ~ sQ88_spl
      | element_of_collection(union_of_members(f5(X0,X1)),X1)
      | element_of_collection(f4(X0,X1),X1)
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f3052,f1429]) ).

fof(f3303,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ85_spl
      | ~ subset_collections(subspace_topology(X2,subspace_topology(X0,X1,X3),X4),X6)
      | ~ topological_space(X5,X6)
      | open_covering(subspace_topology(X2,subspace_topology(X0,X1,X3),X4),X5,X6)
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f3292,f258]) ).

fof(f3304,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ51_spl
      | ~ sQ87_spl
      | closed(f14(X1,f14(X1,empty_set,X2,X0),X4,X3),f14(X1,empty_set,X2,X0),X4)
      | element_of_set(X3,closure(X1,f14(X1,empty_set,X2,X0),X4))
      | element_of_set(X0,closure(X1,empty_set,X2)) ),
    inference(resolution,[status(thm)],[f3269,f2672]) ).

fof(f3305,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ51_spl
      | ~ sQ87_spl
      | subset_sets(X1,f14(X1,f14(X1,empty_set,X2,X0),X4,X3))
      | element_of_set(X3,closure(X1,f14(X1,empty_set,X2,X0),X4))
      | element_of_set(X0,closure(X1,empty_set,X2)) ),
    inference(resolution,[status(thm)],[f3269,f2671]) ).

fof(f3306,plain,
    ! [X0,X1] :
      ( ~ sQ89_spl
      | ~ sQ24_spl
      | ~ sQ88_spl
      | element_of_collection(f4(X0,X1),X1)
      | ~ element_of_collection(X0,X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f3277,f3098]) ).

fof(f3307,plain,
    ! [X0,X1] :
      ( ~ sQ89_spl
      | ~ sQ24_spl
      | ~ sQ88_spl
      | element_of_collection(f3(X0,X1),X1)
      | ~ element_of_collection(X0,X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1)
      | element_of_collection(f4(X0,X1),X1)
      | topological_space(X0,X1) ),
    inference(resolution,[status(thm)],[f3098,f3278]) ).

fof(f3308,plain,
    ! [X0,X1] :
      ( ~ sQ89_spl
      | ~ sQ24_spl
      | ~ sQ88_spl
      | element_of_collection(f3(X0,X1),X1)
      | ~ element_of_collection(X0,X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | element_of_collection(f4(X0,X1),X1)
      | topological_space(X0,X1) ),
    inference(duplicate_literals_removal,[status(thm)],[f3307]) ).

fof(f3309,plain,
    ! [X0,X1] :
      ( ~ sQ85_spl
      | element_of_set(f20(X0,X1),X0)
      | hausdorff(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f221,f3311]) ).

fof(f3310,plain,
    ! [X0,X1] :
      ( ~ sQ85_spl
      | element_of_set(f19(X0,X1),X0)
      | hausdorff(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f220,f3311]) ).

fof(f3311,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ85_spl
      | element_of_set(X2,X3)
      | topological_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1586,f3291]) ).

fof(f3312,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ85_spl
      | element_of_collection(X2,X3)
      | element_of_set(X0,X1) ),
    inference(resolution,[status(thm)],[f3311,f124]) ).

fof(f3313,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ85_spl
      | equal_sets(union_of_members(X2),X3)
      | element_of_set(X0,X1) ),
    inference(resolution,[status(thm)],[f3311,f121]) ).

fof(f3314,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ85_spl
      | separation(f21(X2,X3),f22(X2,X3),X2,X3)
      | connected_space(X2,X3)
      | element_of_set(X0,X1) ),
    inference(resolution,[status(thm)],[f3311,f244]) ).

fof(f3315,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ85_spl
      | open_covering(f24(X2,X3),X2,X3)
      | compact_space(X2,X3)
      | element_of_set(X0,X1) ),
    inference(resolution,[status(thm)],[f3311,f263]) ).

fof(f3316,plain,
    ( ~ sQ85_spl
    | sQ23_spl
    | sQ74_spl ),
    inference(split_clause,[status(thm)],[f3312,f2473,f1424,f2917]) ).

fof(f3317,plain,
    ( ~ sQ85_spl
    | sQ25_spl
    | sQ74_spl ),
    inference(split_clause,[status(thm)],[f3313,f2473,f1432,f2917]) ).

fof(f3318,plain,
    ( ~ sQ85_spl
    | sQ17_spl
    | sQ74_spl ),
    inference(split_clause,[status(thm)],[f3314,f2473,f1400,f2917]) ).

fof(f3319,plain,
    ( ~ sQ85_spl
    | sQ18_spl
    | sQ74_spl ),
    inference(split_clause,[status(thm)],[f3315,f2473,f1404,f2917]) ).

fof(f3320,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ37_spl
      | ~ sQ85_spl
      | ~ element_of_set(X0,f14(X1,X2,X3,X0))
      | element_of_set(X0,closure(X1,X2,X3)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3190,f3311]) ).

fof(f3322,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ23_spl
      | ~ sQ94_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)],[f3204,f3220]) ).

fof(f3323,plain,
    ( ~ sQ23_spl
    | sQ7_spl ),
    inference(split_clause,[status(thm)],[f3197,f1310,f1424]) ).

fof(f3324,plain,
    ! [X0,X1,X2] :
      ( ~ sQ24_spl
      | ~ sQ18_spl
      | ~ sQ89_spl
      | ~ sQ83_spl
      | element_of_collection(f10(X1,union_of_members(f24(X0,top_of_basis(X1))),X2),X1)
      | compact_space(X0,top_of_basis(X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2955,f3281]) ).

fof(f3325,plain,
    ! [X0,X1] :
      ( ~ sQ18_spl
      | ~ sQ89_spl
      | compact_space(X0,X1)
      | subset_collections(f5(X0,f24(X0,X1)),f24(X0,X1))
      | element_of_collection(f3(X0,f24(X0,X1)),f24(X0,X1))
      | ~ element_of_collection(X0,f24(X0,X1))
      | topological_space(X0,f24(X0,X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2965,f3275]) ).

fof(f3326,plain,
    ( ~ sQ18_spl
    | sQ7_spl ),
    inference(split_clause,[status(thm)],[f3021,f1310,f1404]) ).

fof(f3327,plain,
    ! [X0,X1] :
      ( ~ sQ25_spl
      | ~ sQ89_spl
      | ~ element_of_collection(union_of_members(f5(X0,X1)),X1)
      | element_of_collection(f3(X0,X1),X1)
      | ~ element_of_collection(X0,X1)
      | topological_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3000,f3275]) ).

fof(f3328,plain,
    ! [X0,X1] :
      ( ~ sQ25_spl
      | ~ sQ89_spl
      | subset_collections(f5(X0,X1),X1)
      | element_of_collection(f3(X0,X1),X1)
      | ~ element_of_collection(X0,X1)
      | topological_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3001,f3275]) ).

fof(f3329,plain,
    ! [X0,X1] :
      ( ~ sQ25_spl
      | ~ sQ89_spl
      | subset_collections(f5(X0,X1),X1)
      | ~ element_of_collection(intersection_of_sets(f3(X0,X1),f4(X0,X1)),X1)
      | ~ element_of_collection(X0,X1)
      | topological_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3002,f3275]) ).

fof(f3330,plain,
    ! [X0,X1] :
      ( ~ sQ25_spl
      | ~ sQ89_spl
      | ~ element_of_collection(union_of_members(f5(X0,X1)),X1)
      | element_of_collection(f4(X0,X1),X1)
      | ~ element_of_collection(X0,X1)
      | topological_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2974,f3275]) ).

fof(f3331,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ74_spl
      | ~ sQ94_spl
      | element_of_collection(f6(X3,X1,X4,X0,X2),X1)
      | ~ element_of_collection(X2,X1)
      | ~ element_of_collection(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3104,f3220]) ).

fof(f3332,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ sQ89_spl
      | subset_collections(f5(X0,X1),X1)
      | ~ element_of_collection(intersection_of_sets(f3(X0,X1),f4(X0,X1)),X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2579,f3275]) ).

fof(f3333,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ sQ89_spl
      | ~ element_of_collection(union_of_members(f5(X0,X1)),X1)
      | element_of_collection(f4(X0,X1),X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2578,f3275]) ).

fof(f3334,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ sQ89_spl
      | ~ element_of_collection(union_of_members(f5(X0,X1)),X1)
      | element_of_collection(f3(X0,X1),X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2576,f3275]) ).

fof(f3335,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ sQ89_spl
      | subset_collections(f5(X0,X1),X1)
      | element_of_collection(f3(X0,X1),X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2575,f3275]) ).

fof(f3336,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ89_spl
      | element_of_collection(f4(X0,X1),X1)
      | ~ element_of_collection(X0,X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1)
      | hausdorff(union_of_members(f5(X0,X1)),X2) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2574,f3275]) ).

fof(f3337,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ89_spl
      | element_of_collection(f3(X0,X1),X1)
      | ~ element_of_collection(X0,X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1)
      | hausdorff(union_of_members(f5(X0,X1)),X2) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2573,f3275]) ).

fof(f3338,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ sQ89_spl
      | subset_collections(f5(X0,X1),X1)
      | ~ element_of_collection(X0,X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1)
      | hausdorff(intersection_of_sets(f3(X0,X1),f4(X0,X1)),X2) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2572,f3275]) ).

fof(f3339,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | topological_space(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f259,f2529]) ).

fof(f3340,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | open_covering(f24(X0,X1),X0,X1)
      | compact_space(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f263,f2529]) ).

fof(f3343,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | separation(f21(X2,X1),f22(X2,X1),X2,X1)
      | connected_space(X2,X1)
      | compact_space(X0,X1) ),
    inference(resolution,[status(thm)],[f2529,f244]) ).

fof(f3347,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | neighborhood(f18(X0,X4,X2,X3),X3,X0,X4)
      | eq_p(X2,X3)
      | ~ element_of_set(X3,X0)
      | ~ element_of_set(X2,X0)
      | element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f2569,f218]) ).

fof(f3348,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | neighborhood(f17(X0,X4,X2,X3),X2,X0,X4)
      | eq_p(X2,X3)
      | ~ element_of_set(X3,X0)
      | ~ element_of_set(X2,X0)
      | element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f2569,f217]) ).

fof(f3349,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | disjoint_s(f17(X0,X4,X2,X3),f18(X0,X4,X2,X3))
      | eq_p(X2,X3)
      | ~ element_of_set(X3,X0)
      | ~ element_of_set(X2,X0)
      | element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f2569,f219]) ).

fof(f3350,plain,
    ! [X0,X1,X2] :
      ( ~ sQ89_spl
      | ~ sQ7_spl
      | element_of_collection(f3(X0,X1),X1)
      | ~ element_of_collection(X0,X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1)
      | hausdorff(union_of_members(f5(X0,X1)),X2) ),
    inference(resolution,[status(thm)],[f2569,f3278]) ).

fof(f3351,plain,
    ! [X0,X1,X2] :
      ( ~ sQ89_spl
      | ~ sQ7_spl
      | subset_collections(f5(X0,X1),X1)
      | ~ element_of_collection(X0,X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1)
      | hausdorff(intersection_of_sets(f3(X0,X1),f4(X0,X1)),X2) ),
    inference(resolution,[status(thm)],[f2569,f3276]) ).

fof(f3352,plain,
    ! [X0,X1] :
      ( ~ sQ89_spl
      | ~ sQ7_spl
      | subset_collections(f5(X0,X1),X1)
      | element_of_collection(f3(X0,X1),X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f3279,f2571]) ).

fof(f3353,plain,
    ! [X0,X1] :
      ( ~ sQ89_spl
      | ~ sQ7_spl
      | ~ element_of_collection(union_of_members(f5(X0,X1)),X1)
      | element_of_collection(f3(X0,X1),X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f3278,f2571]) ).

fof(f3354,plain,
    ! [X0,X1] :
      ( ~ sQ89_spl
      | ~ sQ7_spl
      | subset_collections(f5(X0,X1),X1)
      | ~ element_of_collection(intersection_of_sets(f3(X0,X1),f4(X0,X1)),X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f3276,f2571]) ).

fof(f3355,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | element_of_collection(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f124,f2571]) ).

fof(f3357,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | separation(f21(X0,X2),f22(X0,X2),X0,X2)
      | connected_space(X0,X2)
      | element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f2571,f244]) ).

fof(f3359,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | neighborhood(f18(X0,X5,X3,X4),X4,X0,X5)
      | eq_p(X3,X4)
      | ~ element_of_set(X4,X0)
      | ~ element_of_set(X3,X0)
      | open(X0,X1,X2) ),
    inference(resolution,[status(thm)],[f2560,f218]) ).

fof(f3360,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | neighborhood(f17(X0,X5,X3,X4),X3,X0,X5)
      | eq_p(X3,X4)
      | ~ element_of_set(X4,X0)
      | ~ element_of_set(X3,X0)
      | open(X0,X1,X2) ),
    inference(resolution,[status(thm)],[f2560,f217]) ).

fof(f3361,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | disjoint_s(f17(X0,X5,X3,X4),f18(X0,X5,X3,X4))
      | eq_p(X3,X4)
      | ~ element_of_set(X4,X0)
      | ~ element_of_set(X3,X0)
      | open(X0,X1,X2) ),
    inference(resolution,[status(thm)],[f2560,f219]) ).

fof(f3362,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | equal_sets(union_of_members(X3),X0)
      | open(X0,X1,X2) ),
    inference(resolution,[status(thm)],[f2566,f121]) ).

fof(f3363,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | separation(f21(X0,X3),f22(X0,X3),X0,X3)
      | connected_space(X0,X3)
      | open(X0,X1,X2) ),
    inference(resolution,[status(thm)],[f2566,f244]) ).

fof(f3364,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ74_spl
      | ~ neighborhood(X7,X0,X5,X6)
      | ~ limit_point(X0,X4,X5,X6)
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f3108,f207]) ).

fof(f3365,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ subset_collections(X1,X3)
      | ~ topological_space(X2,X3)
      | open_covering(X1,X2,X3)
      | compact_space(X0,X1) ),
    inference(resolution,[status(thm)],[f2911,f258]) ).

fof(f3366,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ subset_collections(X2,X3)
      | ~ topological_space(X0,X3)
      | open_covering(X2,X0,X3)
      | element_of_collection(X0,X1) ),
    inference(resolution,[status(thm)],[f2582,f258]) ).

fof(f3367,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ subset_collections(X2,X3)
      | open_covering(X2,X0,X3)
      | element_of_collection(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3366,f2571]) ).

fof(f3369,plain,
    ! [X0,X1] :
      ( ~ sQ24_spl
      | ~ sQ74_spl
      | element_of_collection(union_of_members(f24(X0,X1)),X1)
      | compact_space(X0,X1) ),
    inference(resolution,[status(thm)],[f3122,f1429]) ).

fof(f3370,plain,
    ! [X0,X1,X2] :
      ( ~ sQ89_spl
      | neighborhood(f16(X0,X1,empty_set,X2),X0,empty_set,X2)
      | ~ subset_sets(X1,empty_set)
      | limit_point(X0,X1,empty_set,X2) ),
    inference(resolution,[status(thm)],[f208,f3055]) ).

fof(f3371,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | open(X2,X4,X5)
      | neighborhood(f16(X0,X1,X2,X3),X0,X2,X3)
      | ~ subset_sets(X1,X2)
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f208,f2566]) ).

fof(f3372,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | element_of_collection(X2,X4)
      | neighborhood(f16(X0,X1,X2,X3),X0,X2,X3)
      | ~ subset_sets(X1,X2)
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f208,f2571]) ).

fof(f3373,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | compact_space(X4,X3)
      | neighborhood(f16(X0,X1,X2,X3),X0,X2,X3)
      | ~ subset_sets(X1,X2)
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f208,f2529]) ).

fof(f3374,plain,
    ! [X0,X1,X2] :
      ( ~ sQ89_spl
      | ~ sQ87_spl
      | neighborhood(f16(X0,X1,empty_set,X2),X0,empty_set,X2)
      | limit_point(X0,X1,empty_set,X2) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3370,f2997]) ).

fof(f3375,plain,
    ! [X0,X1] :
      ( ~ sQ89_spl
      | ~ sQ24_spl
      | ~ sQ88_spl
      | ~ sQ7_spl
      | element_of_collection(f4(X0,X1),X1)
      | ~ equal_sets(union_of_members(X1),X0)
      | topological_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3306,f2571]) ).

fof(f3379,plain,
    ! [X0,X1,X2] :
      ( ~ sQ89_spl
      | ~ sQ37_spl
      | neighborhood(f16(X0,X1,empty_set,X2),X0,empty_set,X2)
      | limit_point(X0,X1,empty_set,X2) ),
    inference(resolution,[status(thm)],[f2216,f3055]) ).

fof(f3380,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ37_spl
      | open(X2,X4,X5)
      | neighborhood(f16(X0,X1,X2,X3),X0,X2,X3)
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f2216,f2566]) ).

fof(f3381,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ37_spl
      | element_of_collection(X2,X4)
      | neighborhood(f16(X0,X1,X2,X3),X0,X2,X3)
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f2216,f2571]) ).

fof(f3382,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ37_spl
      | compact_space(X4,X3)
      | neighborhood(f16(X0,X1,X2,X3),X0,X2,X3)
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f2216,f2529]) ).

fof(f3390,plain,
    ! [X0,X1,X2] :
      ( ~ sQ90_spl
      | ~ sQ74_spl
      | disjoint_s(f17(empty_set,X2,X0,X1),f18(empty_set,X2,X0,X1))
      | eq_p(X0,X1) ),
    inference(resolution,[status(thm)],[f2482,f3059]) ).

fof(f3391,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ74_spl
      | open(X2,X4,X5)
      | disjoint_s(f17(X2,X3,X0,X1),f18(X2,X3,X0,X1))
      | eq_p(X0,X1) ),
    inference(resolution,[status(thm)],[f2482,f2560]) ).

fof(f3392,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ74_spl
      | element_of_collection(X2,X4)
      | disjoint_s(f17(X2,X3,X0,X1),f18(X2,X3,X0,X1))
      | eq_p(X0,X1) ),
    inference(resolution,[status(thm)],[f2482,f2569]) ).

fof(f3397,plain,
    ! [X0,X1,X2] :
      ( ~ sQ74_spl
      | ~ equal_sets(union_of_members(X0),X1)
      | ~ subset_collections(X0,X2)
      | open_covering(X0,X1,X2) ),
    inference(backward_subsumption_resolution,[status(thm)],[f258,f2512]) ).

fof(f3399,plain,
    ! [X0,X1] :
      ( ~ sQ74_spl
      | equal_sets(union_of_members(X0),X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f121,f2512]) ).

fof(f3400,plain,
    ! [X0,X1] :
      ( ~ sQ74_spl
      | separation(f21(X0,X1),f22(X0,X1),X0,X1)
      | connected_space(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f244,f2512]) ).

fof(f3401,plain,
    ! [X0,X1] :
      ( ~ sQ74_spl
      | ~ eq_p(f19(X0,X1),f20(X0,X1))
      | hausdorff(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f222,f2512]) ).

fof(f3402,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ74_spl
      | limit_point(f20(X0,X1),X2,X3,X4)
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f3401,f3108]) ).

fof(f3404,plain,
    ! [X0,X1,X2] :
      ( ~ sQ90_spl
      | ~ sQ74_spl
      | neighborhood(f18(empty_set,X2,X0,X1),X1,empty_set,X2)
      | eq_p(X0,X1) ),
    inference(resolution,[status(thm)],[f2483,f3059]) ).

fof(f3405,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ74_spl
      | open(X2,X4,X5)
      | neighborhood(f18(X2,X3,X0,X1),X1,X2,X3)
      | eq_p(X0,X1) ),
    inference(resolution,[status(thm)],[f2483,f2560]) ).

fof(f3406,plain,
    ! [X0,X1,X2] :
      ( ~ sQ90_spl
      | ~ sQ74_spl
      | neighborhood(f17(empty_set,X2,X0,X1),X0,empty_set,X2)
      | eq_p(X0,X1) ),
    inference(resolution,[status(thm)],[f2484,f3059]) ).

fof(f3407,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | ~ sQ74_spl
      | open(X2,X4,X5)
      | neighborhood(f17(X2,X3,X0,X1),X0,X2,X3)
      | eq_p(X0,X1) ),
    inference(resolution,[status(thm)],[f2484,f2560]) ).

fof(f3408,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ disjoint_s(X2,X0)
      | ~ neighborhood(X2,f19(X0,X1),X0,X1)
      | hausdorff(X0,X1)
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f2033,f2501]) ).

fof(f3409,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | ~ disjoint_s(X2,X0)
      | ~ neighborhood(X2,f19(X0,X1),X0,X1)
      | hausdorff(X0,X1) ),
    inference(duplicate_literals_removal,[status(thm)],[f3408]) ).

fof(f3410,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ74_spl
      | neighborhood(X0,X2,X3,X4)
      | hausdorff(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2567,f2474]) ).

fof(f3411,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ74_spl
      | ~ sQ7_spl
      | neighborhood(f17(X0,X6,X4,X5),X4,X0,X6)
      | eq_p(X4,X5)
      | neighborhood(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f3410,f2484]) ).

fof(f3412,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ74_spl
      | ~ sQ7_spl
      | neighborhood(f18(X0,X6,X4,X5),X5,X0,X6)
      | eq_p(X4,X5)
      | neighborhood(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f3410,f2483]) ).

fof(f3413,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ74_spl
      | ~ sQ7_spl
      | disjoint_s(f17(X0,X6,X4,X5),f18(X0,X6,X4,X5))
      | eq_p(X4,X5)
      | neighborhood(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f3410,f2482]) ).

fof(f3414,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | ~ sQ74_spl
      | ~ disjoint_s(X4,X0)
      | ~ neighborhood(X4,f19(X2,X3),X2,X3)
      | hausdorff(X2,X3)
      | hausdorff(X0,X1) ),
    inference(resolution,[status(thm)],[f3410,f2501]) ).

fof(f3415,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ disjoint_s(X3,f16(f20(X0,X1),X2,X0,X1))
      | ~ neighborhood(X3,f19(X0,X1),X0,X1)
      | hausdorff(X0,X1)
      | limit_point(f20(X0,X1),X2,X0,X1) ),
    inference(resolution,[status(thm)],[f1706,f2501]) ).

fof(f3417,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ74_spl
      | ~ disjoint_s(X4,f16(X0,X1,X2,X3))
      | ~ neighborhood(X4,f19(X2,X3),X2,X3)
      | hausdorff(X2,X3)
      | limit_point(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f3135,f2501]) ).

fof(f3422,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ74_spl
      | ~ sQ76_spl
      | neighborhood(f17(X2,X3,X0,X1),X0,X2,X3)
      | eq_p(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f2484,f2563]) ).

fof(f3423,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ74_spl
      | ~ sQ76_spl
      | neighborhood(f18(X2,X3,X0,X1),X1,X2,X3)
      | eq_p(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f2483,f2563]) ).

fof(f3424,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ74_spl
      | ~ sQ76_spl
      | disjoint_s(f17(X2,X3,X0,X1),f18(X2,X3,X0,X1))
      | eq_p(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f2482,f2563]) ).

fof(f3425,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ93_spl
      | ~ neighborhood(X4,X0,X2,X3)
      | ~ limit_point(X0,X1,X2,X3) ),
    inference(backward_subsumption_resolution,[status(thm)],[f207,f3173]) ).

fof(f3426,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ7_spl
      | ~ sQ74_spl
      | ~ subset_collections(X1,X3)
      | open_covering(X1,X2,X3)
      | compact_space(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2547,f2512]) ).

fof(f3427,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ74_spl
      | ~ sQ7_spl
      | compact_space(X1,X2)
      | open_covering(f24(X1,X2),X3,X2)
      | compact_space(X0,f24(X1,X2)) ),
    inference(resolution,[status(thm)],[f3426,f3122]) ).

fof(f3429,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ74_spl
      | ~ sQ7_spl
      | open_covering(f23(X3,X2,f24(X1,X2)),X3,X2)
      | ~ compact_space(X3,X2)
      | compact_space(X1,X2)
      | compact_space(X0,f24(X1,X2)) ),
    inference(resolution,[status(thm)],[f3427,f262]) ).

fof(f3430,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ74_spl
      | ~ sQ7_spl
      | subset_collections(f23(X3,X2,f24(X1,X2)),f24(X1,X2))
      | ~ compact_space(X3,X2)
      | compact_space(X1,X2)
      | compact_space(X0,f24(X1,X2)) ),
    inference(resolution,[status(thm)],[f3427,f261]) ).

fof(f3431,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ74_spl
      | ~ sQ7_spl
      | finite(f23(X3,X2,f24(X1,X2)))
      | ~ compact_space(X3,X2)
      | compact_space(X1,X2)
      | compact_space(X0,f24(X1,X2)) ),
    inference(resolution,[status(thm)],[f3427,f260]) ).

fof(f3433,plain,
    ! [X0,X1,X2] :
      ( ~ sQ74_spl
      | ~ subset_collections(X1,X0)
      | finer(X0,X1,X2) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3145,f2512]) ).

fof(f3435,plain,
    ! [X0,X1] :
      ( ~ sQ74_spl
      | ~ sQ89_spl
      | compact_space(X0,X1)
      | open_covering(f24(X0,X1),empty_set,X1) ),
    inference(resolution,[status(thm)],[f3283,f3122]) ).

fof(f3436,plain,
    ! [X0,X1,X2] :
      ( ~ sQ74_spl
      | ~ connected_space(X0,subspace_topology(X1,X2,X0))
      | connected_set(X0,X1,X2) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3148,f2509]) ).

fof(f3437,plain,
    ! [X0,X1] :
      ( ~ sQ74_spl
      | ~ sQ89_spl
      | open_covering(f23(empty_set,X1,f24(X0,X1)),empty_set,X1)
      | ~ compact_space(empty_set,X1)
      | compact_space(X0,X1) ),
    inference(resolution,[status(thm)],[f3435,f262]) ).

fof(f3438,plain,
    ! [X0,X1] :
      ( ~ sQ74_spl
      | ~ sQ89_spl
      | subset_collections(f23(empty_set,X1,f24(X0,X1)),f24(X0,X1))
      | ~ compact_space(empty_set,X1)
      | compact_space(X0,X1) ),
    inference(resolution,[status(thm)],[f3435,f261]) ).

fof(f3439,plain,
    ! [X0,X1] :
      ( ~ sQ74_spl
      | ~ sQ89_spl
      | finite(f23(empty_set,X1,f24(X0,X1)))
      | ~ compact_space(empty_set,X1)
      | compact_space(X0,X1) ),
    inference(resolution,[status(thm)],[f3435,f260]) ).

fof(f3449,plain,
    ! [X0,X1] :
      ( ~ sQ17_spl
      | ~ sQ23_spl
      | ~ sQ74_spl
      | connected_space(X0,X1)
      | disjoint_s(f21(X0,X1),f22(X0,X1)) ),
    inference(resolution,[status(thm)],[f238,f3157]) ).

fof(f3452,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)
      | equal_sets(f21(X0,X1),empty_set) ),
    inference(backward_subsumption_resolution,[status(thm)],[f1810,f1717]) ).

fof(f3453,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ93_spl
      | ~ sQ74_spl
      | ~ sQ23_spl
      | ~ limit_point(X0,X1,X2,X3) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3425,f3182]) ).

fof(f3455,plain,
    ! [X0,X1] :
      ( ~ sQ17_spl
      | ~ sQ23_spl
      | ~ sQ74_spl
      | connected_space(X0,X1)
      | ~ equal_sets(f22(X0,X1),empty_set) ),
    inference(resolution,[status(thm)],[f230,f3157]) ).

fof(f3457,plain,
    ! [X0,X1] :
      ( ~ sQ17_spl
      | ~ sQ23_spl
      | ~ sQ74_spl
      | connected_space(X0,X1)
      | ~ equal_sets(f21(X0,X1),empty_set) ),
    inference(resolution,[status(thm)],[f228,f3157]) ).

fof(f3460,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(forward_subsumption_resolution,[status(thm)],[f3452,f1718]) ).

fof(f3461,plain,
    ! [X0,X1,X2] :
      ( ~ sQ74_spl
      | ~ sQ23_spl
      | ~ subset_collections(X0,X2)
      | open_covering(X0,X1,X2) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3397,f3207]) ).

fof(f3462,plain,
    ! [X0,X1,X2] :
      ( ~ sQ74_spl
      | ~ sQ23_spl
      | compact_space(X0,X1)
      | open_covering(f24(X0,X1),X2,X1) ),
    inference(resolution,[status(thm)],[f3461,f3122]) ).

fof(f3463,plain,
    ! [X0,X1,X2] :
      ( ~ sQ74_spl
      | ~ sQ23_spl
      | open_covering(f23(X2,X1,f24(X0,X1)),X2,X1)
      | ~ compact_space(X2,X1)
      | compact_space(X0,X1) ),
    inference(resolution,[status(thm)],[f3462,f262]) ).

fof(f3464,plain,
    ! [X0,X1,X2] :
      ( ~ sQ74_spl
      | ~ sQ23_spl
      | subset_collections(f23(X2,X1,f24(X0,X1)),f24(X0,X1))
      | ~ compact_space(X2,X1)
      | compact_space(X0,X1) ),
    inference(resolution,[status(thm)],[f3462,f261]) ).

fof(f3465,plain,
    ! [X0,X1,X2] :
      ( ~ sQ74_spl
      | ~ sQ23_spl
      | finite(f23(X2,X1,f24(X0,X1)))
      | ~ compact_space(X2,X1)
      | compact_space(X0,X1) ),
    inference(resolution,[status(thm)],[f3462,f260]) ).

fof(model,axiom,
    ( sQ0_spl
    | ~ sQ1_spl
    | sQ3_spl
    | sQ5_spl
    | sQ6_spl
    | sQ7_spl
    | sQ8_spl
    | sQ10_spl
    | sQ17_spl
    | sQ23_spl
    | sQ24_spl
    | sQ26_spl
    | sQ27_spl
    | sQ28_spl
    | sQ29_spl
    | sQ30_spl
    | sQ37_spl
    | sQ41_spl
    | sQ47_spl
    | sQ48_spl
    | sQ49_spl
    | sQ51_spl
    | sQ52_spl
    | sQ53_spl
    | sQ54_spl
    | sQ55_spl
    | sQ56_spl
    | sQ57_spl
    | sQ58_spl
    | sQ59_spl
    | sQ60_spl
    | sQ61_spl
    | sQ62_spl
    | sQ64_spl
    | sQ66_spl
    | sQ67_spl
    | sQ68_spl
    | sQ69_spl
    | sQ71_spl
    | sQ72_spl
    | sQ73_spl
    | sQ74_spl
    | sQ76_spl
    | sQ78_spl
    | sQ83_spl
    | sQ87_spl
    | sQ88_spl
    | sQ89_spl
    | sQ90_spl
    | ~ sQ92_spl
    | sQ93_spl
    | sQ94_spl
    | sQ95_spl ) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : TOP011-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.07  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.42  % Computer : n018.cluster.edu
% 0.15/0.42  % Model    : x86_64 x86_64
% 0.15/0.42  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42  % Memory   : 8046.5625MB
% 0.15/0.42  % OS       : Linux 6.8.0-71-generic
% 0.15/0.42  % CPULimit : 300
% 0.15/0.42  % WCLimit  : 300
% 0.15/0.42  % DateTime : Mon Sep 21 12:41:14 UTC 2026
% 0.15/0.42  % CPUTime  : 
% 0.15/0.44  % Drodi V4.1.1
% 9.15/1.92  % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 9.15/1.92  % SZS output start Saturation for theBenchmark
% See solution above
% 0.83/2.02  % Elapsed time: 1.576543 seconds
% 0.83/2.02  % CPU time: 11.542064 seconds
% 0.83/2.02  % Total memory used: 96.661 MB
% 0.83/2.02  % Net memory used: 83.990 MB
%------------------------------------------------------------------------------