Vampire---5.0.1.SAT-Sat.s

%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : TOP014-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 02:33:50 PM UTC 2026

% Result   : Satisfiable 78.22s 15.04s
% Output   : Saturation 102.00s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(u127,negated_conjecture,
    ~ equal_sets(a,sF1) ).

cnf(u130,negated_conjecture,
    closed(a,cx,ct) ).

cnf(u148,negated_conjecture,
    ( ~ element_of_set(X0,sF1)
    | element_of_set(X0,a) ) ).

cnf(u151,negated_conjecture,
    subset_sets(a,a) ).

cnf(u536,axiom,
    subset_sets(relative_complement_sets(a,cx),cx) ).

cnf(u540,axiom,
    ( closed(f14(relative_complement_sets(a,cx),cx,ct,X0),cx,ct)
    | ~ element_of_set(X0,sF1)
    | element_of_set(X0,boundary(a,cx,ct)) ) ).

cnf(u691,negated_conjecture,
    subset_sets(a,sF0) ).

cnf(u695,negated_conjecture,
    closed(sF0,cx,ct) ).

cnf(u699,negated_conjecture,
    ( ~ element_of_set(X0,f13(a,cx,ct,f20(sF1,X1)))
    | element_of_set(X0,sF0)
    | hausdorff(sF1,X1)
    | ~ topological_space(sF1,X1) ) ).

cnf(u859,axiom,
    subset_sets(sF1,boundary(a,cx,ct)) ).

cnf(u863,axiom,
    ( element_of_collection(boundary(a,cx,ct),top_of_basis(X0))
    | ~ element_of_collection(sF1,X0) ) ).

cnf(u1345,negated_conjecture,
    ( element_of_collection(union_of_members(f5(X0,ct)),ct)
    | topological_space(X0,ct)
    | ~ basis(X0,ct)
    | ~ element_of_collection(X0,ct) ) ).

cnf(u1352,negated_conjecture,
    ( element_of_collection(union_of_members(f5(intersection_of_sets(X0,f12(X1,X2,X0,union_of_members(ct))),ct)),ct)
    | topological_space(intersection_of_sets(X0,f12(X1,X2,X0,union_of_members(ct))),ct)
    | ~ element_of_collection(union_of_members(ct),subspace_topology(X1,X2,X0))
    | ~ element_of_collection(intersection_of_sets(X0,f12(X1,X2,X0,union_of_members(ct))),ct) ) ).

cnf(u1534,axiom,
    subset_sets(union_of_members(ct),sF0) ).

cnf(u1538,axiom,
    ( ~ element_of_collection(union_of_members(ct),X0)
    | element_of_collection(sF0,top_of_basis(X0)) ) ).

cnf(u1769,axiom,
    subset_sets(X4,X5) ).

cnf(u1772,axiom,
    ( ~ element_of_set(X0,boundary(X1,X2,X3))
    | subset_sets(X1,X2) ) ).

cnf(u3092,negated_conjecture,
    element_of_collection(sF1,top_of_basis(ct)) ).

cnf(u3137,negated_conjecture,
    subset_sets(a,sF1) ).

cnf(u3141,negated_conjecture,
    ( element_of_set(X1,f1(top_of_basis(X0),X1))
    | ~ element_of_collection(a,X0)
    | element_of_collection(sF1,top_of_basis(X0))
    | ~ element_of_set(X1,sF1) ) ).

cnf(u3146,negated_conjecture,
    subset_sets(a,boundary(a,cx,ct)) ).

cnf(u3150,negated_conjecture,
    ( element_of_collection(boundary(a,cx,ct),top_of_basis(X0))
    | ~ element_of_collection(a,X0) ) ).

cnf(u3154,axiom,
    ( ~ closed(X4,cx,ct)
    | ~ subset_sets(a,X4)
    | subset_sets(X1,X2)
    | element_of_set(f11(subspace_topology(X2,X3,X1),sF1),X4) ) ).

cnf(u3157,axiom,
    ~ element_of_set(X0,sF1) ).

cnf(u3171,negated_conjecture,
    ( ~ element_of_collection(a,X0)
    | element_of_collection(sF1,top_of_basis(X0)) ) ).

cnf(u3219,negated_conjecture,
    element_of_collection(a,ct) ).

cnf(u3223,negated_conjecture,
    ( ~ element_of_set(X0,a)
    | element_of_set(X0,sF0) ) ).

cnf(u3311,axiom,
    ( ~ element_of_set(X0,relative_complement_sets(a,cx))
    | element_of_set(X0,interior(cx,cx,X1))
    | ~ closed(a,cx,X1) ) ).

cnf(u3314,axiom,
    subset_sets(cx,cx) ).

cnf(u3381,negated_conjecture,
    ( ~ topological_space(a,subspace_topology(X1,X2,X3))
    | subset_sets(X3,X1) ) ).

cnf(u3388,negated_conjecture,
    ( ~ topological_space(a,subspace_topology(X1,X2,X3))
    | topological_space(X1,X2) ) ).

cnf(u3436,negated_conjecture,
    topological_space(sF0,ct) ).

cnf(u3440,negated_conjecture,
    ( ~ element_of_set(X0,f13(a,cx,ct,X1))
    | ~ element_of_set(X1,sF0)
    | element_of_set(X0,interior(a,sF0,ct)) ) ).

cnf(u3450,negated_conjecture,
    ( ~ element_of_set(X0,f13(a,cx,ct,f20(sF0,X1)))
    | hausdorff(sF0,X1)
    | ~ topological_space(sF0,X1)
    | element_of_set(X0,interior(a,sF0,ct)) ) ).

cnf(u3454,negated_conjecture,
    ( ~ element_of_set(X0,f13(a,cx,ct,f19(sF0,X1)))
    | hausdorff(sF0,X1)
    | ~ topological_space(sF0,X1)
    | element_of_set(X0,interior(a,sF0,ct)) ) ).

cnf(u3458,negated_conjecture,
    ( ~ element_of_set(X0,f13(a,cx,ct,f7(sF0,X1)))
    | ~ topological_space(sF0,X1)
    | basis(sF0,X1)
    | element_of_set(X0,interior(a,sF0,ct)) ) ).

cnf(u3473,negated_conjecture,
    ( ~ element_of_set(X0,f13(a,cx,ct,f20(closure(X1,X2,X3),X4)))
    | hausdorff(closure(X1,X2,X3),X4)
    | ~ topological_space(closure(X1,X2,X3),X4)
    | element_of_set(X0,interior(a,sF0,ct))
    | ~ subset_sets(X1,sF0)
    | ~ closed(sF0,X2,X3) ) ).

cnf(u3478,negated_conjecture,
    ( ~ element_of_set(X0,f13(a,cx,ct,f19(closure(X1,X2,X3),X4)))
    | hausdorff(closure(X1,X2,X3),X4)
    | ~ topological_space(closure(X1,X2,X3),X4)
    | element_of_set(X0,interior(a,sF0,ct))
    | ~ subset_sets(X1,sF0)
    | ~ closed(sF0,X2,X3) ) ).

cnf(u3482,negated_conjecture,
    ( ~ element_of_set(X0,f13(a,cx,ct,f11(X1,closure(X2,X3,X4))))
    | element_of_collection(closure(X2,X3,X4),top_of_basis(X1))
    | element_of_set(X0,interior(a,sF0,ct))
    | ~ closed(sF0,X3,X4)
    | ~ subset_sets(X2,sF0) ) ).

cnf(u3733,axiom,
    ( ~ closed(X4,cx,ct)
    | ~ subset_sets(a,X4)
    | topological_space(X1,X2)
    | element_of_set(f11(subspace_topology(X1,X2,X3),sF1),X4) ) ).

cnf(u3766,axiom,
    topological_space(X1,X2) ).

cnf(u3921,negated_conjecture,
    ( element_of_collection(union_of_members(f24(X0,ct)),ct)
    | ~ topological_space(X0,ct)
    | compact_space(X0,ct) ) ).

cnf(u4181,negated_conjecture,
    ( ~ topological_space(sF1,X3)
    | hausdorff(sF1,X3) ) ).

cnf(u4184,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X1,X2,X0),a),a)
    | subset_sets(X0,X1) ) ).

cnf(u4188,negated_conjecture,
    ( ~ topological_space(boundary(a,cx,ct),X3)
    | hausdorff(boundary(a,cx,ct),X3) ) ).

cnf(u4192,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X1,X2,X0),f14(a,cx,ct,X3)),f14(a,cx,ct,X3))
    | element_of_set(X3,sF1)
    | subset_sets(X0,X1) ) ).

cnf(u4196,negated_conjecture,
    ( ~ topological_space(closure(X3,X4,X5),X6)
    | hausdorff(closure(X3,X4,X5),X6)
    | ~ closed(sF1,X4,X5)
    | ~ subset_sets(X3,sF1) ) ).

cnf(u4203,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X1,X2,X0),sF0),sF0)
    | subset_sets(X0,X1) ) ).

cnf(u4218,axiom,
    ( ~ topological_space(sF0,X3)
    | hausdorff(sF0,X3) ) ).

cnf(u4227,negated_conjecture,
    ( ~ limit_point(X5,X3,X6,X7)
    | ~ element_of_collection(X3,ct)
    | ~ neighborhood(X4,X5,X6,X7)
    | ~ element_of_collection(X4,ct) ) ).

cnf(u4239,negated_conjecture,
    ( element_of_collection(closure(X3,X4,X5),top_of_basis(X6))
    | ~ subset_sets(X3,sF1)
    | ~ closed(sF1,X4,X5) ) ).

cnf(u4243,negated_conjecture,
    ( element_of_collection(boundary(X5,X3,X4),top_of_basis(X6))
    | ~ closed(sF1,X3,X4)
    | ~ subset_sets(X5,sF1) ) ).

cnf(u4247,negated_conjecture,
    element_of_collection(boundary(a,cx,ct),top_of_basis(X3)) ).

cnf(u4255,negated_conjecture,
    element_of_collection(sF1,top_of_basis(X3)) ).

cnf(u4264,negated_conjecture,
    ( element_of_set(X5,union_of_members(top_of_basis(X4)))
    | ~ element_of_set(X5,sF1) ) ).

cnf(u4270,axiom,
    element_of_collection(sF0,top_of_basis(X3)) ).

cnf(u4274,negated_conjecture,
    ( ~ topological_space(sF1,X3)
    | basis(sF1,X3) ) ).

cnf(u4279,negated_conjecture,
    ( ~ topological_space(closure(X3,X4,X5),X6)
    | basis(closure(X3,X4,X5),X6)
    | ~ closed(sF1,X4,X5)
    | ~ subset_sets(X3,sF1) ) ).

cnf(u4283,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X1,X2,X0),f14(a,cx,ct,f11(X3,X4))),f14(a,cx,ct,f11(X3,X4)))
    | ~ element_of_collection(sF1,X3)
    | ~ subset_sets(sF1,X4)
    | element_of_collection(X4,top_of_basis(X3))
    | subset_sets(X0,X1) ) ).

cnf(u4288,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X1,X2,X0),union_of_members(top_of_basis(X3))),union_of_members(top_of_basis(X3)))
    | element_of_set(f11(X3,sF1),f14(a,cx,ct,X5))
    | element_of_set(X5,sF1)
    | subset_sets(X0,X1) ) ).

cnf(u4292,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X1,X2,X0),union_of_members(top_of_basis(X3))),union_of_members(top_of_basis(X3)))
    | element_of_set(f11(X3,sF1),a)
    | subset_sets(X0,X1) ) ).

cnf(u4296,negated_conjecture,
    ~ element_of_set(X3,cx) ).

cnf(u4300,axiom,
    ~ element_of_set(X3,sF0) ).

cnf(u4304,negated_conjecture,
    ~ element_of_set(X3,empty_set) ).

cnf(u6003,negated_conjecture,
    ( ~ element_of_collection(a,X1)
    | element_of_set(f11(subspace_topology(X3,X4,X2),interior(a,cx,X1)),interior(a,cx,X1))
    | subset_sets(X2,X3)
    | ~ topological_space(cx,X1) ) ).

cnf(u6007,negated_conjecture,
    ( ~ element_of_collection(a,X1)
    | element_of_set(f11(subspace_topology(X3,X4,X2),interior(a,sF0,X1)),interior(a,sF0,X1))
    | subset_sets(X2,X3)
    | ~ topological_space(sF0,X1) ) ).

cnf(u6011,negated_conjecture,
    ( ~ element_of_collection(a,X1)
    | element_of_set(f11(subspace_topology(X3,X4,X2),union_of_members(top_of_basis(X1))),union_of_members(top_of_basis(X1)))
    | subset_sets(X2,X3) ) ).

cnf(u6212,negated_conjecture,
    topological_space(a,ct) ).

cnf(u6216,negated_conjecture,
    ( ~ element_of_set(X0,f13(a,cx,ct,X1))
    | ~ element_of_set(X1,sF0)
    | element_of_set(X0,interior(a,a,ct)) ) ).

cnf(u6227,negated_conjecture,
    ( ~ element_of_set(X0,f13(a,cx,ct,f20(sF0,X1)))
    | hausdorff(sF0,X1)
    | ~ topological_space(sF0,X1)
    | element_of_set(X0,interior(a,a,ct)) ) ).

cnf(u6231,negated_conjecture,
    ( ~ element_of_set(X0,f13(a,cx,ct,f19(sF0,X1)))
    | hausdorff(sF0,X1)
    | ~ topological_space(sF0,X1)
    | element_of_set(X0,interior(a,a,ct)) ) ).

cnf(u6235,negated_conjecture,
    ( ~ element_of_set(X0,f13(a,cx,ct,f11(X1,sF0)))
    | element_of_collection(sF0,top_of_basis(X1))
    | element_of_set(X0,interior(a,a,ct)) ) ).

cnf(u6239,negated_conjecture,
    ( ~ element_of_set(X0,f13(a,cx,ct,f7(sF0,X1)))
    | ~ topological_space(sF0,X1)
    | basis(sF0,X1)
    | element_of_set(X0,interior(a,a,ct)) ) ).

cnf(u6256,negated_conjecture,
    ( ~ subset_sets(X1,sF0)
    | hausdorff(closure(X1,X2,X3),X4)
    | ~ topological_space(closure(X1,X2,X3),X4)
    | element_of_set(X0,interior(a,a,ct))
    | ~ element_of_set(X0,f13(a,cx,ct,f20(closure(X1,X2,X3),X4)))
    | ~ closed(sF0,X2,X3) ) ).

cnf(u6261,negated_conjecture,
    ( ~ subset_sets(X1,sF0)
    | hausdorff(closure(X1,X2,X3),X4)
    | ~ topological_space(closure(X1,X2,X3),X4)
    | element_of_set(X0,interior(a,a,ct))
    | ~ element_of_set(X0,f13(a,cx,ct,f19(closure(X1,X2,X3),X4)))
    | ~ closed(sF0,X2,X3) ) ).

cnf(u6265,negated_conjecture,
    ( ~ closed(sF0,X3,X4)
    | element_of_collection(boundary(X2,X3,X4),top_of_basis(X1))
    | element_of_set(X0,interior(a,a,ct))
    | ~ element_of_set(X0,f13(a,cx,ct,f11(X1,boundary(X2,X3,X4))))
    | ~ subset_sets(X2,sF0) ) ).

cnf(u6269,negated_conjecture,
    ( ~ closed(sF0,X3,X4)
    | element_of_collection(closure(X2,X3,X4),top_of_basis(X1))
    | element_of_set(X0,interior(a,a,ct))
    | ~ element_of_set(X0,f13(a,cx,ct,f11(X1,closure(X2,X3,X4))))
    | ~ subset_sets(X2,sF0) ) ).

cnf(u6320,negated_conjecture,
    ( subset_sets(X1,X2)
    | element_of_set(f11(subspace_topology(X2,X3,X1),interior(a,sF0,ct)),interior(a,sF0,ct)) ) ).

cnf(u6372,negated_conjecture,
    subset_sets(sF0,a) ).

cnf(u6376,negated_conjecture,
    ( element_of_collection(a,top_of_basis(X0))
    | ~ element_of_collection(sF0,X0) ) ).

cnf(u6443,negated_conjecture,
    topological_space(sF1,ct) ).

cnf(u6447,negated_conjecture,
    ( ~ element_of_set(X0,f13(a,cx,ct,X1))
    | ~ element_of_set(X1,sF0)
    | element_of_set(X0,interior(a,sF1,ct)) ) ).

cnf(u6458,negated_conjecture,
    ( ~ element_of_set(X0,f13(a,cx,ct,f20(sF0,X1)))
    | hausdorff(sF0,X1)
    | ~ topological_space(sF0,X1)
    | element_of_set(X0,interior(a,sF1,ct)) ) ).

cnf(u6462,negated_conjecture,
    ( ~ element_of_set(X0,f13(a,cx,ct,f19(sF0,X1)))
    | hausdorff(sF0,X1)
    | ~ topological_space(sF0,X1)
    | element_of_set(X0,interior(a,sF1,ct)) ) ).

cnf(u6466,negated_conjecture,
    ( ~ element_of_set(X0,f13(a,cx,ct,f11(X1,sF0)))
    | element_of_collection(sF0,top_of_basis(X1))
    | element_of_set(X0,interior(a,sF1,ct)) ) ).

cnf(u6470,negated_conjecture,
    ( ~ element_of_set(X0,f13(a,cx,ct,f7(sF0,X1)))
    | ~ topological_space(sF0,X1)
    | basis(sF0,X1)
    | element_of_set(X0,interior(a,sF1,ct)) ) ).

cnf(u6487,negated_conjecture,
    ( ~ subset_sets(X1,sF0)
    | hausdorff(closure(X1,X2,X3),X4)
    | ~ topological_space(closure(X1,X2,X3),X4)
    | element_of_set(X0,interior(a,sF1,ct))
    | ~ element_of_set(X0,f13(a,cx,ct,f20(closure(X1,X2,X3),X4)))
    | ~ closed(sF0,X2,X3) ) ).

cnf(u6492,negated_conjecture,
    ( ~ subset_sets(X1,sF0)
    | hausdorff(closure(X1,X2,X3),X4)
    | ~ topological_space(closure(X1,X2,X3),X4)
    | element_of_set(X0,interior(a,sF1,ct))
    | ~ element_of_set(X0,f13(a,cx,ct,f19(closure(X1,X2,X3),X4)))
    | ~ closed(sF0,X2,X3) ) ).

cnf(u6496,negated_conjecture,
    ( ~ closed(sF0,X3,X4)
    | element_of_collection(boundary(X2,X3,X4),top_of_basis(X1))
    | element_of_set(X0,interior(a,sF1,ct))
    | ~ element_of_set(X0,f13(a,cx,ct,f11(X1,boundary(X2,X3,X4))))
    | ~ subset_sets(X2,sF0) ) ).

cnf(u6500,negated_conjecture,
    ( ~ closed(sF0,X3,X4)
    | element_of_collection(closure(X2,X3,X4),top_of_basis(X1))
    | element_of_set(X0,interior(a,sF1,ct))
    | ~ element_of_set(X0,f13(a,cx,ct,f11(X1,closure(X2,X3,X4))))
    | ~ subset_sets(X2,sF0) ) ).

cnf(u6548,negated_conjecture,
    ( ~ topological_space(sF0,X0)
    | basis(sF0,X0) ) ).

cnf(u6557,negated_conjecture,
    ( ~ element_of_set(X3,boundary(X2,X0,X1))
    | ~ closed(sF1,X0,X1)
    | ~ subset_sets(X2,sF1) ) ).

cnf(u6612,negated_conjecture,
    ( ~ topological_space(closure(X0,X1,X2),X3)
    | ~ closed(sF0,X1,X2)
    | ~ subset_sets(X0,sF0)
    | hausdorff(closure(X0,X1,X2),X3) ) ).

cnf(u6799,negated_conjecture,
    ( ~ element_of_set(X3,closure(X0,X1,X2))
    | ~ subset_sets(X0,sF1)
    | ~ closed(sF1,X1,X2) ) ).

cnf(u6897,axiom,
    ( element_of_set(f11(subspace_topology(X3,X4,X2),interior(cx,cx,X0)),interior(cx,cx,X0))
    | ~ closed(a,cx,X0)
    | subset_sets(X2,X3) ) ).

cnf(u7350,negated_conjecture,
    ( ~ element_of_set(X3,boundary(X2,X0,X1))
    | ~ closed(sF0,X0,X1)
    | ~ subset_sets(X2,sF0) ) ).

cnf(u7556,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X3,X4,X2),interior(a,cx,X1)),interior(a,cx,X1))
    | element_of_set(f11(X1,a),a)
    | subset_sets(X2,X3)
    | ~ topological_space(cx,X1) ) ).

cnf(u7603,negated_conjecture,
    ~ element_of_set(f11(ct,a),a) ).

cnf(u7607,negated_conjecture,
    ( ~ element_of_set(X1,f13(a,cx,ct,X0))
    | element_of_set(X1,sF0)
    | ~ element_of_set(X0,a) ) ).

cnf(u7628,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X3,X4,X2),interior(a,cx,X0)),interior(a,cx,X0))
    | ~ topological_space(cx,X0)
    | subset_sets(X2,X3)
    | element_of_set(f11(X0,a),sF0) ) ).

cnf(u7874,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X1,X2,X3),a),sF0)
    | topological_space(X1,X2)
    | ~ topological_space(cx,subspace_topology(X1,X2,X3)) ) ).

cnf(u7921,negated_conjecture,
    subset_sets(f1(ct,f11(ct,a)),a) ).

cnf(u7930,negated_conjecture,
    element_of_collection(a,top_of_basis(ct)) ).

cnf(u8073,negated_conjecture,
    ( ~ topological_space(cx,top_of_basis(X0))
    | ~ subset_sets(sF0,f13(a,cx,ct,X2))
    | ~ element_of_collection(sF0,X0)
    | ~ element_of_set(X1,f13(a,cx,ct,X2))
    | element_of_set(X1,interior(a,cx,top_of_basis(X0)))
    | ~ element_of_set(X2,a) ) ).

cnf(u8076,negated_conjecture,
    ~ element_of_set(f11(ct,a),sF0) ).

cnf(u8189,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X2,X3,X1),union_of_members(top_of_basis(ct))),union_of_members(top_of_basis(ct)))
    | subset_sets(X1,X2) ) ).

cnf(u8265,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X3,X4,X2),union_of_members(X1)),union_of_members(X1))
    | element_of_set(f11(X1,a),a)
    | subset_sets(X2,X3)
    | ~ topological_space(cx,X1) ) ).

cnf(u8285,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X3,X4,X2),union_of_members(X1)),union_of_members(X1))
    | element_of_set(f11(X1,a),sF0)
    | subset_sets(X2,X3)
    | ~ topological_space(cx,X1) ) ).

cnf(u8517,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X3,X4,X2),interior(a,sF0,X1)),interior(a,sF0,X1))
    | element_of_set(f11(X1,a),a)
    | subset_sets(X2,X3)
    | ~ topological_space(sF0,X1)
    | ~ topological_space(cx,X1) ) ).

cnf(u8554,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X3,X4,X2),interior(a,sF0,X1)),interior(a,sF0,X1))
    | ~ topological_space(cx,X1)
    | subset_sets(X2,X3)
    | element_of_set(f11(X1,a),sF0)
    | ~ topological_space(sF0,X1) ) ).

cnf(u8958,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X3,X4,X2),interior(a,sF1,X1)),interior(a,sF1,X1))
    | element_of_set(f11(X1,a),a)
    | subset_sets(X2,X3)
    | ~ topological_space(sF1,X1)
    | ~ topological_space(cx,X1) ) ).

cnf(u8995,negated_conjecture,
    ( ~ topological_space(cx,X1)
    | element_of_set(f11(subspace_topology(X3,X4,X2),interior(a,sF1,X1)),interior(a,sF1,X1))
    | subset_sets(X2,X3)
    | element_of_set(f11(X1,a),sF0)
    | ~ topological_space(sF1,X1) ) ).

cnf(u9727,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X4,X5,X3),interior(a,cx,X1)),interior(a,cx,X1))
    | element_of_set(f11(X1,a),union_of_members(top_of_basis(X2)))
    | subset_sets(X3,X4)
    | ~ topological_space(cx,X1)
    | element_of_set(f11(X2,a),a) ) ).

cnf(u10036,negated_conjecture,
    ( topological_space(X0,X1)
    | element_of_set(f11(subspace_topology(X0,X1,X2),sF0),sF0) ) ).

cnf(u10051,axiom,
    ( topological_space(X0,X1)
    | element_of_set(f11(subspace_topology(X0,X1,X2),union_of_members(ct)),union_of_members(ct)) ) ).

cnf(u10068,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X0,X1,X2),interior(a,cx,X3)),interior(a,cx,X3))
    | ~ topological_space(cx,X3)
    | element_of_set(f11(X3,a),a)
    | topological_space(X0,X1) ) ).

cnf(u10072,negated_conjecture,
    ( topological_space(X0,X1)
    | element_of_set(f11(X3,a),sF0)
    | ~ topological_space(cx,X3)
    | element_of_set(f11(subspace_topology(X0,X1,X2),interior(a,cx,X3)),interior(a,cx,X3)) ) ).

cnf(u10085,negated_conjecture,
    ( element_of_set(X4,f10(X3,a,X4))
    | ~ element_of_set(X4,a) ) ).

cnf(u10116,negated_conjecture,
    ( ~ element_of_collection(f9(X3,X4),ct)
    | ~ element_of_collection(f8(X3,X4),ct)
    | basis(X3,X4)
    | ~ equal_sets(union_of_members(X4),X3) ) ).

cnf(u10120,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X0,X1,X2),interior(a,sF0,X3)),interior(a,sF0,X3))
    | ~ topological_space(sF0,X3)
    | ~ topological_space(cx,X3)
    | element_of_set(f11(X3,a),a)
    | topological_space(X0,X1) ) ).

cnf(u10124,negated_conjecture,
    ( topological_space(X0,X1)
    | ~ topological_space(sF0,X3)
    | ~ topological_space(cx,X3)
    | element_of_set(f11(X3,a),sF0)
    | element_of_set(f11(subspace_topology(X0,X1,X2),interior(a,sF0,X3)),interior(a,sF0,X3)) ) ).

cnf(u10130,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X0,X1,X2),interior(a,cx,X3)),interior(a,cx,X3))
    | element_of_set(f11(X3,a),union_of_members(top_of_basis(X5)))
    | element_of_set(f11(X5,a),a)
    | ~ topological_space(cx,X3)
    | topological_space(X0,X1) ) ).

cnf(u10134,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X0,X1,X2),union_of_members(X3)),union_of_members(X3))
    | ~ topological_space(cx,X3)
    | element_of_set(f11(X3,a),a)
    | topological_space(X0,X1) ) ).

cnf(u10138,negated_conjecture,
    ( topological_space(X0,X1)
    | ~ topological_space(cx,X3)
    | element_of_set(f11(X3,a),sF0)
    | element_of_set(f11(subspace_topology(X0,X1,X2),union_of_members(X3)),union_of_members(X3)) ) ).

cnf(u10142,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X0,X1,X2),union_of_members(top_of_basis(ct))),union_of_members(top_of_basis(ct)))
    | topological_space(X0,X1) ) ).

cnf(u10154,negated_conjecture,
    ( element_of_set(X0,union_of_members(ct))
    | ~ element_of_set(X0,a) ) ).

cnf(u10165,negated_conjecture,
    ( ~ subset_sets(X0,sF1)
    | element_of_set(f11(X3,sF1),f14(X0,cx,ct,X2))
    | ~ subset_sets(a,f14(X0,cx,ct,X2))
    | ~ element_of_set(X1,sF1)
    | element_of_set(X1,union_of_members(top_of_basis(X3)))
    | ~ subset_sets(X0,cx) ) ).

cnf(u10168,negated_conjecture,
    closed(sF1,cx,ct) ).

cnf(u10173,negated_conjecture,
    ( ~ subset_sets(X0,sF1)
    | element_of_set(X2,f14(X0,cx,ct,X1))
    | ~ element_of_set(X2,sF1)
    | ~ subset_sets(a,f14(X0,cx,ct,X1))
    | ~ subset_sets(X0,cx) ) ).

cnf(u10181,negated_conjecture,
    ( topological_space(X0,X1)
    | element_of_set(X3,sF1)
    | element_of_set(f11(subspace_topology(X0,X1,X2),f14(a,cx,ct,X3)),f14(a,cx,ct,X3)) ) ).

cnf(u10187,negated_conjecture,
    ( topological_space(X0,X1)
    | ~ element_of_collection(sF1,X3)
    | ~ subset_sets(sF1,X4)
    | element_of_collection(X4,top_of_basis(X3))
    | element_of_set(f11(subspace_topology(X0,X1,X2),f14(a,cx,ct,f11(X3,X4))),f14(a,cx,ct,f11(X3,X4))) ) ).

cnf(u10192,negated_conjecture,
    ( topological_space(X0,X1)
    | element_of_set(X5,sF1)
    | element_of_set(f11(X3,sF1),f14(a,cx,ct,X5))
    | element_of_set(f11(subspace_topology(X0,X1,X2),union_of_members(top_of_basis(X3))),union_of_members(top_of_basis(X3))) ) ).

cnf(u10221,axiom,
    ( element_of_set(X1,f10(X2,sF1,X1))
    | ~ element_of_set(X1,sF1) ) ).

cnf(u11239,axiom,
    ( element_of_set(f19(closure(X0,X4,X5),X6),X7)
    | hausdorff(closure(X0,X4,X5),X6) ) ).

cnf(u6671,negated_conjecture,
    ( element_of_set(f11(X3,closure(X0,X1,X2)),interior(a,sF0,ct))
    | element_of_collection(closure(X0,X1,X2),top_of_basis(X3))
    | ~ closed(sF0,X1,X2)
    | ~ subset_sets(X0,sF0) ) ).

cnf(u889,negated_conjecture,
    ( ~ element_of_collection(f13(a,X0,X1,f11(X5,closure(X4,X2,X3))),X6)
    | ~ subset_sets(X4,interior(a,X0,X1))
    | element_of_collection(closure(X4,X2,X3),top_of_basis(X5))
    | ~ topological_space(cx,X6)
    | ~ element_of_set(X7,f13(a,X0,X1,f11(X5,closure(X4,X2,X3))))
    | ~ closed(interior(a,X0,X1),X2,X3)
    | element_of_set(X7,interior(a,cx,X6)) ) ).

cnf(u770,axiom,
    ( ~ subset_sets(X1,X1)
    | ~ element_of_collection(X1,X0)
    | element_of_collection(X1,top_of_basis(X0)) ) ).

cnf(u9304,negated_conjecture,
    ( element_of_set(X5,interior(f14(f13(a,cx,X1,X0),X2,X3,X4),cx,X1))
    | element_of_set(f11(X1,a),sF0)
    | ~ subset_sets(f14(f13(a,cx,X1,X0),X2,X3,X4),cx)
    | ~ element_of_set(X5,f13(a,cx,X1,X0))
    | ~ topological_space(cx,X1)
    | ~ element_of_set(X0,a)
    | element_of_set(X4,closure(f13(a,cx,X1,X0),X2,X3))
    | ~ subset_sets(f13(a,cx,X1,X0),X2)
    | ~ topological_space(X2,X3) ) ).

cnf(u1639,axiom,
    ( ~ closed(closure(X4,X5,X6),X1,X2)
    | ~ subset_sets(X0,closure(X4,X5,X6))
    | ~ topological_space(closure(X0,X1,X2),X3)
    | basis(closure(X0,X1,X2),X3)
    | ~ subset_sets(X4,X7)
    | ~ closed(X7,X5,X6)
    | element_of_set(f7(closure(X0,X1,X2),X3),X7) ) ).

cnf(u11069,negated_conjecture,
    ( element_of_set(f19(boundary(X0,X1,X2),X3),interior(a,sF0,X4))
    | hausdorff(boundary(X0,X1,X2),X3) ) ).

cnf(u3933,negated_conjecture,
    ( element_of_set(f20(union_of_members(f24(X0,ct)),X1),union_of_members(ct))
    | ~ topological_space(X0,ct)
    | compact_space(X0,ct)
    | ~ topological_space(union_of_members(f24(X0,ct)),X1)
    | hausdorff(union_of_members(f24(X0,ct)),X1) ) ).

cnf(u1527,axiom,
    ( element_of_set(f11(X0,sF0),union_of_members(ct))
    | element_of_collection(sF0,top_of_basis(X0)) ) ).

cnf(u9808,negated_conjecture,
    ( ~ element_of_collection(f9(X0,X1),ct)
    | ~ equal_sets(union_of_members(X1),X0)
    | basis(X0,X1)
    | ~ element_of_collection(f8(X0,X1),ct)
    | element_of_set(f7(X0,X1),f1(ct,f7(X0,X1))) ) ).

cnf(u749,negated_conjecture,
    ( element_of_set(f11(X0,intersection_of_sets(X1,X2)),union_of_members(ct))
    | element_of_collection(intersection_of_sets(X1,X2),top_of_basis(X0))
    | ~ element_of_collection(X2,ct)
    | ~ element_of_collection(X1,ct) ) ).

cnf(basis_for_topology_36,axiom,
    ( ~ subset_sets(X2,intersection_of_sets(f8(X0,X1),f9(X0,X1)))
    | ~ equal_sets(union_of_members(X1),X0)
    | ~ element_of_set(f7(X0,X1),X2)
    | ~ element_of_collection(X2,X1)
    | basis(X0,X1) ) ).

cnf(u8143,negated_conjecture,
    ( element_of_set(f11(X1,f13(a,cx,ct,X0)),union_of_members(top_of_basis(X2)))
    | element_of_collection(f13(a,cx,ct,X0),top_of_basis(X1))
    | element_of_set(f11(X2,sF0),sF0)
    | ~ element_of_set(X0,a) ) ).

cnf(u1161,axiom,
    ( subset_sets(X0,f14(X0,X1,X2,f11(X3,f14(closure(X0,X1,X2),X4,X5,X6))))
    | element_of_collection(f14(closure(X0,X1,X2),X4,X5,X6),top_of_basis(X3))
    | ~ element_of_collection(closure(X0,X1,X2),X3)
    | ~ subset_sets(X0,X1)
    | ~ topological_space(X1,X2)
    | element_of_set(X6,closure(closure(X0,X1,X2),X4,X5))
    | ~ subset_sets(closure(X0,X1,X2),X4)
    | ~ topological_space(X4,X5) ) ).

cnf(u10493,axiom,
    ( ~ element_of_set(X8,f13(X0,X1,X2,f19(closure(X5,X3,X4),X6)))
    | hausdorff(closure(X5,X3,X4),X6)
    | ~ closed(interior(X0,X1,X2),X3,X4)
    | element_of_set(X8,interior(X7,X1,X2)) ) ).

cnf(u1074,axiom,
    ( ~ subset_sets(X1,f13(a,cx,ct,f7(sF0,X0)))
    | basis(sF0,X0)
    | ~ element_of_collection(X1,X2)
    | ~ topological_space(a,X2)
    | ~ element_of_set(X3,X1)
    | ~ topological_space(sF0,X0)
    | element_of_set(X3,interior(f13(a,cx,ct,f7(sF0,X0)),a,X2)) ) ).

cnf(u44448,axiom,
    ( ~ subset_collections(f24(X0,f24(X0,X1)),X1)
    | ~ finite(f24(X0,f24(X0,X1)))
    | compact_space(X0,f24(X0,X1))
    | compact_space(X0,X1) ) ).

cnf(u322,axiom,
    ( ~ topological_space(X2,subspace_topology(X0,X1,X3))
    | connected_space(X2,subspace_topology(X0,X1,X3))
    | topological_space(X0,X1) ) ).

cnf(u996,negated_conjecture,
    ( ~ element_of_collection(f13(a,X1,X2,f19(closure(X0,X3,X4),X5)),X6)
    | ~ closed(interior(a,X1,X2),X3,X4)
    | ~ topological_space(closure(X0,X3,X4),X5)
    | hausdorff(closure(X0,X3,X4),X5)
    | ~ topological_space(cx,X6)
    | ~ element_of_set(X7,f13(a,X1,X2,f19(closure(X0,X3,X4),X5)))
    | ~ subset_sets(X0,interior(a,X1,X2))
    | element_of_set(X7,interior(a,cx,X6)) ) ).

cnf(u7094,axiom,
    ( ~ closed(f13(closure(X1,X2,X3),X4,X5,f11(X6,interior(closure(X1,X2,X3),X4,X5))),X2,X3)
    | ~ element_of_set(X0,closure(X1,X2,X3))
    | ~ subset_sets(X1,f13(closure(X1,X2,X3),X4,X5,f11(X6,interior(closure(X1,X2,X3),X4,X5))))
    | ~ element_of_collection(f13(closure(X1,X2,X3),X4,X5,f11(X6,interior(closure(X1,X2,X3),X4,X5))),X7)
    | element_of_set(X0,f10(X7,closure(X1,X2,X3),X0))
    | element_of_collection(interior(closure(X1,X2,X3),X4,X5),top_of_basis(X6)) ) ).

cnf(u9871,axiom,
    ( element_of_set(X4,f10(X2,f13(X0,X1,top_of_basis(X2),f7(interior(X0,X1,top_of_basis(X2)),X3)),X4))
    | ~ topological_space(interior(X0,X1,top_of_basis(X2)),X3)
    | ~ element_of_set(X4,f13(X0,X1,top_of_basis(X2),f7(interior(X0,X1,top_of_basis(X2)),X3)))
    | basis(interior(X0,X1,top_of_basis(X2)),X3) ) ).

cnf(u3591,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,f7(closure(X4,X5,X6),X7)),X2,X3)
    | element_of_collection(boundary(X1,X2,X3),top_of_basis(X0))
    | ~ subset_sets(X1,f13(a,cx,ct,f7(closure(X4,X5,X6),X7)))
    | ~ closed(sF0,X5,X6)
    | ~ subset_sets(X4,sF0)
    | basis(closure(X4,X5,X6),X7)
    | ~ topological_space(closure(X4,X5,X6),X7)
    | element_of_set(f11(X0,boundary(X1,X2,X3)),sF0) ) ).

cnf(u7022,axiom,
    ( ~ closed(f1(ct,X4),X2,X3)
    | ~ element_of_set(X5,closure(X1,X2,X3))
    | element_of_set(X5,f10(X0,closure(X1,X2,X3),X5))
    | ~ subset_sets(X1,f1(ct,X4))
    | ~ element_of_set(X4,sF0)
    | element_of_set(f11(X0,closure(X1,X2,X3)),union_of_members(ct)) ) ).

cnf(u8330,negated_conjecture,
    ( ~ element_of_collection(f13(f13(a,cx,X1,X0),X2,X3,f11(X4,interior(f13(a,cx,X1,X0),X2,X3))),X5)
    | element_of_set(f11(X1,a),a)
    | ~ element_of_set(X0,a)
    | ~ topological_space(a,X5)
    | ~ element_of_set(X6,f13(f13(a,cx,X1,X0),X2,X3,f11(X4,interior(f13(a,cx,X1,X0),X2,X3))))
    | ~ topological_space(cx,X1)
    | element_of_set(X6,interior(f13(a,cx,X1,X0),a,X5))
    | element_of_set(X7,f10(X4,interior(f13(a,cx,X1,X0),X2,X3),X7))
    | ~ element_of_set(X7,interior(f13(a,cx,X1,X0),X2,X3)) ) ).

cnf(u612,negated_conjecture,
    ( ~ subset_sets(f14(X2,cx,ct,X3),X1)
    | ~ subset_sets(X2,a)
    | element_of_set(X3,a)
    | ~ subset_sets(X2,cx)
    | element_of_collection(X1,top_of_basis(X0))
    | ~ element_of_collection(f14(X2,cx,ct,X3),X0)
    | subset_sets(X2,f14(X2,cx,ct,f11(X0,X1))) ) ).

cnf(u3647,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,f11(X3,boundary(X0,X1,X2))),X5,X6)
    | ~ closed(sF0,X1,X2)
    | element_of_collection(boundary(X0,X1,X2),top_of_basis(X3))
    | element_of_set(f19(closure(X4,X5,X6),X7),sF0)
    | hausdorff(closure(X4,X5,X6),X7)
    | ~ subset_sets(X4,f13(a,cx,ct,f11(X3,boundary(X0,X1,X2))))
    | ~ subset_sets(X0,sF0)
    | ~ topological_space(closure(X4,X5,X6),X7) ) ).

cnf(u9800,axiom,
    ( element_of_collection(f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f11(X3,union_of_members(subspace_topology(X0,X1,X2))))),X1)
    | element_of_collection(union_of_members(subspace_topology(X0,X1,X2)),top_of_basis(X3)) ) ).

cnf(u11505,negated_conjecture,
    ( limit_point(X0,X2,X3,X4)
    | open(f13(a,sF0,X1,X0),sF0,X1) ) ).

cnf(u9711,negated_conjecture,
    ( ~ subset_sets(union_of_members(top_of_basis(X1)),a)
    | ~ element_of_set(X2,a)
    | element_of_set(f11(X1,a),a)
    | ~ topological_space(cx,X0)
    | element_of_collection(a,top_of_basis(X0))
    | ~ element_of_collection(union_of_members(top_of_basis(X1)),X0)
    | element_of_set(X2,interior(a,cx,X0)) ) ).

cnf(u6876,negated_conjecture,
    ( ~ subset_sets(X3,f14(X2,X0,X1,X4))
    | ~ subset_sets(X2,sF1)
    | ~ subset_sets(X2,X0)
    | ~ subset_sets(X3,X0)
    | ~ closed(sF1,X0,X1)
    | closed(f14(X3,X0,X1,X5),X0,X1)
    | element_of_set(X5,f14(X2,X0,X1,X4)) ) ).

cnf(u281,axiom,
    ( 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)
    | ~ topological_space(interior(X0,X1,X2),X3) ) ).

cnf(u947,axiom,
    ( element_of_set(f19(closure(X0,X1,X2),X3),f1(X4,f19(closure(X0,X1,X2),X3)))
    | ~ subset_sets(X0,union_of_members(X4))
    | ~ closed(union_of_members(X4),X1,X2)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | hausdorff(closure(X0,X1,X2),X3) ) ).

cnf(u11292,negated_conjecture,
    ( element_of_set(f7(closure(X0,X1,X2),X3),f1(ct,f7(closure(X0,X1,X2),X3)))
    | basis(closure(X0,X1,X2),X3) ) ).

cnf(u8331,negated_conjecture,
    ( ~ element_of_collection(f13(f13(a,cx,X1,X0),X2,X3,f11(X4,interior(f13(a,cx,X1,X0),X2,X3))),X5)
    | element_of_set(f11(X1,a),a)
    | ~ element_of_set(X0,a)
    | ~ topological_space(a,X5)
    | ~ element_of_set(X6,f13(f13(a,cx,X1,X0),X2,X3,f11(X4,interior(f13(a,cx,X1,X0),X2,X3))))
    | ~ topological_space(cx,X1)
    | element_of_set(X6,interior(f13(a,cx,X1,X0),a,X5))
    | element_of_collection(interior(f13(a,cx,X1,X0),X2,X3),top_of_basis(X4)) ) ).

cnf(u967,axiom,
    ( ~ closed(f13(X4,X5,X6,f19(interior(X4,X5,X6),X7)),X1,X2)
    | ~ subset_sets(X0,f13(X4,X5,X6,f19(interior(X4,X5,X6),X7)))
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | ~ topological_space(interior(X4,X5,X6),X7)
    | hausdorff(interior(X4,X5,X6),X7)
    | element_of_set(f19(closure(X0,X1,X2),X3),interior(X4,X5,X6)) ) ).

cnf(u8049,negated_conjecture,
    ( ~ topological_space(f13(a,cx,ct,f11(X0,sF0)),X1)
    | ~ element_of_set(X2,sF0)
    | element_of_set(X2,f10(X0,sF0,X2))
    | basis(f13(a,cx,ct,f11(X0,sF0)),X1)
    | element_of_set(f7(f13(a,cx,ct,f11(X0,sF0)),X1),sF0) ) ).

cnf(u8228,negated_conjecture,
    ( ~ closed(f13(a,cx,X1,X0),X4,X5)
    | ~ topological_space(cx,X1)
    | element_of_set(f11(X1,a),a)
    | element_of_set(f11(X2,boundary(X3,X4,X5)),union_of_members(X1))
    | element_of_collection(boundary(X3,X4,X5),top_of_basis(X2))
    | ~ element_of_set(X0,a)
    | ~ subset_sets(X3,f13(a,cx,X1,X0)) ) ).

cnf(u6972,axiom,
    ( element_of_set(X0,f10(X2,X1,X0))
    | element_of_set(f11(X2,X1),X1)
    | ~ element_of_set(X0,X1) ) ).

cnf(u1753,axiom,
    ( ~ element_of_set(X0,f10(top_of_basis(subspace_topology(X1,X2,X3)),X4,X5))
    | subset_sets(X3,X1)
    | ~ element_of_set(X5,X4)
    | ~ element_of_collection(X4,top_of_basis(top_of_basis(subspace_topology(X1,X2,X3)))) ) ).

cnf(u9143,negated_conjecture,
    ( ~ subset_sets(f13(a,cx,X0,f11(X1,X2)),X2)
    | ~ element_of_set(f11(X1,X2),a)
    | ~ topological_space(cx,X0)
    | element_of_collection(X2,top_of_basis(X1))
    | ~ element_of_collection(f13(a,cx,X0,f11(X1,X2)),X1)
    | element_of_set(f11(X0,a),sF0) ) ).

cnf(u4055,negated_conjecture,
    ( ~ closed(f10(X0,a,X1),X4,X5)
    | ~ element_of_collection(a,top_of_basis(X0))
    | ~ element_of_set(X1,a)
    | element_of_set(f11(X2,boundary(X3,X4,X5)),interior(a,cx,X0))
    | element_of_collection(boundary(X3,X4,X5),top_of_basis(X2))
    | ~ topological_space(cx,X0)
    | ~ subset_sets(X3,f10(X0,a,X1)) ) ).

cnf(u9930,axiom,
    ( ~ topological_space(X3,X4)
    | element_of_set(f11(subspace_topology(X0,X1,X2),X3),X3)
    | basis(X3,X4)
    | topological_space(X0,X1) ) ).

cnf(u7332,axiom,
    ( ~ element_of_set(X10,f13(X0,X1,top_of_basis(subspace_topology(X2,X3,X4)),f11(X5,closure(X6,X7,X8))))
    | ~ subset_sets(X6,interior(X0,X1,top_of_basis(subspace_topology(X2,X3,X4))))
    | ~ element_of_set(X9,closure(X6,X7,X8))
    | ~ closed(interior(X0,X1,top_of_basis(subspace_topology(X2,X3,X4))),X7,X8)
    | element_of_set(X9,f10(X5,closure(X6,X7,X8),X9))
    | subset_sets(X4,X2) ) ).

cnf(u3862,negated_conjecture,
    ( element_of_set(X3,interior(a,cx,subspace_topology(X1,X2,f13(a,cx,ct,f20(sF0,X0)))))
    | ~ topological_space(sF0,X0)
    | ~ topological_space(cx,subspace_topology(X1,X2,f13(a,cx,ct,f20(sF0,X0))))
    | ~ element_of_set(X3,f13(a,cx,ct,f20(sF0,X0)))
    | hausdorff(sF0,X0)
    | ~ compact_set(f13(a,cx,ct,f20(sF0,X0)),X1,X2) ) ).

cnf(u3983,negated_conjecture,
    ( element_of_set(f11(X0,f14(a,cx,ct,X1)),f14(a,cx,ct,X1))
    | element_of_set(f11(X2,sF1),union_of_members(top_of_basis(X0)))
    | element_of_set(X3,f1(top_of_basis(X2),X3))
    | element_of_set(X1,sF1)
    | ~ element_of_set(X3,sF1) ) ).

cnf(u1391,axiom,
    ( ~ subset_sets(f13(X0,X1,X2,f7(interior(X0,X1,X2),X3)),X4)
    | basis(interior(X0,X1,X2),X3)
    | ~ subset_sets(X4,X1)
    | ~ element_of_set(X5,f13(X0,X1,X2,f7(interior(X0,X1,X2),X3)))
    | ~ topological_space(interior(X0,X1,X2),X3)
    | element_of_set(X5,interior(X4,X1,X2)) ) ).

cnf(u7024,negated_conjecture,
    ( ~ closed(f1(top_of_basis(X4),X5),X2,X3)
    | ~ element_of_set(X6,closure(X1,X2,X3))
    | element_of_set(X6,f10(X0,closure(X1,X2,X3),X6))
    | ~ subset_sets(X1,f1(top_of_basis(X4),X5))
    | ~ element_of_set(X5,sF1)
    | element_of_set(f11(X4,sF1),sF1)
    | element_of_set(f11(X0,closure(X1,X2,X3)),union_of_members(top_of_basis(X4))) ) ).

cnf(u8247,negated_conjecture,
    ( ~ element_of_set(f11(X0,closure(X1,X2,X3)),a)
    | element_of_set(f11(X4,a),a)
    | element_of_set(f11(X0,closure(X1,X2,X3)),union_of_members(X4))
    | element_of_set(X5,f10(X0,closure(X1,X2,X3),X5))
    | ~ closed(interior(a,cx,X4),X2,X3)
    | ~ subset_sets(X1,interior(a,cx,X4))
    | ~ element_of_set(X5,closure(X1,X2,X3)) ) ).

cnf(u9801,axiom,
    ( element_of_collection(union_of_members(subspace_topology(X0,X1,X2)),top_of_basis(X3))
    | topological_space(X0,X1) ) ).

cnf(u745,axiom,
    ( element_of_set(f11(X0,f1(ct,X1)),union_of_members(ct))
    | ~ element_of_set(X1,sF0)
    | element_of_collection(f1(ct,X1),top_of_basis(X0)) ) ).

cnf(u807,axiom,
    ( ~ closed(f13(closure(X0,X1,X2),X3,X4,f20(interior(closure(X0,X1,X2),X3,X4),X5)),X1,X2)
    | ~ subset_sets(X0,f13(closure(X0,X1,X2),X3,X4,f20(interior(closure(X0,X1,X2),X3,X4),X5)))
    | ~ element_of_collection(f13(closure(X0,X1,X2),X3,X4,f20(interior(closure(X0,X1,X2),X3,X4),X5)),X6)
    | element_of_collection(closure(X0,X1,X2),top_of_basis(X6))
    | hausdorff(interior(closure(X0,X1,X2),X3,X4),X5)
    | ~ topological_space(interior(closure(X0,X1,X2),X3,X4),X5) ) ).

cnf(basis_for_topology_32,axiom,
    ( ~ equal_sets(union_of_members(X1),X0)
    | basis(X0,X1)
    | element_of_set(f7(X0,X1),X0) ) ).

cnf(u180,negated_conjecture,
    ( ~ subset_sets(f13(a,cx,ct,X0),X1)
    | ~ subset_sets(X1,cx)
    | ~ element_of_set(X2,f13(a,cx,ct,X0))
    | ~ element_of_set(X0,sF0)
    | element_of_set(X2,interior(X1,cx,ct)) ) ).

cnf(u3604,axiom,
    ( ~ closed(f13(X4,X5,X6,f20(sF1,X7)),X2,X3)
    | element_of_collection(boundary(X1,X2,X3),top_of_basis(X0))
    | ~ subset_sets(X1,f13(X4,X5,X6,f20(sF1,X7)))
    | ~ topological_space(sF1,X7)
    | hausdorff(sF1,X7)
    | ~ closed(interior(X4,X5,X6),cx,ct)
    | ~ subset_sets(a,interior(X4,X5,X6))
    | element_of_set(f11(X0,boundary(X1,X2,X3)),interior(X4,X5,X6)) ) ).

cnf(u1476,axiom,
    ( element_of_set(f19(closure(X0,X1,X2),X3),f6(X4,X6,f19(closure(X0,X1,X2),X3),X5,X7))
    | ~ element_of_collection(X5,X6)
    | ~ element_of_collection(X7,X6)
    | ~ basis(X4,X6)
    | ~ element_of_set(f19(closure(X0,X1,X2),X3),X4)
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ subset_sets(X0,intersection_of_sets(X5,X7))
    | ~ closed(intersection_of_sets(X5,X7),X1,X2)
    | ~ topological_space(closure(X0,X1,X2),X3) ) ).

cnf(u7288,axiom,
    ( element_of_set(f20(f13(a,cx,ct,f7(sF0,X0)),X1),union_of_members(ct))
    | basis(sF0,X0)
    | ~ topological_space(sF0,X0)
    | ~ topological_space(f13(a,cx,ct,f7(sF0,X0)),X1)
    | hausdorff(f13(a,cx,ct,f7(sF0,X0)),X1) ) ).

cnf(u10861,negated_conjecture,
    ( element_of_set(X0,interior(a,a,X1))
    | closed(f14(X2,X3,X4,X0),X3,X4) ) ).

cnf(u8224,negated_conjecture,
    ( element_of_set(f11(X2,f13(a,cx,X1,X0)),union_of_members(X1))
    | element_of_set(X3,f10(X2,f13(a,cx,X1,X0),X3))
    | element_of_set(f11(X1,a),a)
    | ~ topological_space(cx,X1)
    | ~ element_of_set(X0,a)
    | ~ element_of_set(X3,f13(a,cx,X1,X0)) ) ).

cnf(u3930,negated_conjecture,
    ( ~ closed(union_of_members(f24(X0,ct)),X3,X4)
    | ~ topological_space(X0,ct)
    | element_of_set(f11(X1,boundary(X2,X3,X4)),union_of_members(ct))
    | element_of_collection(boundary(X2,X3,X4),top_of_basis(X1))
    | compact_space(X0,ct)
    | ~ subset_sets(X2,union_of_members(f24(X0,ct))) ) ).

cnf(u9719,negated_conjecture,
    ( subset_sets(f13(a,cx,X1,X0),a)
    | element_of_set(f11(X1,a),union_of_members(top_of_basis(X2)))
    | element_of_set(f11(X2,a),a)
    | ~ topological_space(cx,X1)
    | ~ element_of_set(X0,a) ) ).

cnf(u1616,negated_conjecture,
    ( ~ closed(intersection_of_sets(X4,X5),X1,X2)
    | ~ subset_sets(X0,intersection_of_sets(X4,X5))
    | ~ topological_space(closure(X0,X1,X2),X3)
    | basis(closure(X0,X1,X2),X3)
    | element_of_set(f7(closure(X0,X1,X2),X3),union_of_members(ct))
    | ~ element_of_collection(X5,ct)
    | ~ element_of_collection(X4,ct) ) ).

cnf(u7216,axiom,
    ( ~ closed(f13(boundary(X0,X1,X2),X3,X4,f7(interior(boundary(X0,X1,X2),X3,X4),X5)),X1,X2)
    | ~ subset_sets(X0,f13(boundary(X0,X1,X2),X3,X4,f7(interior(boundary(X0,X1,X2),X3,X4),X5)))
    | ~ element_of_collection(f13(boundary(X0,X1,X2),X3,X4,f7(interior(boundary(X0,X1,X2),X3,X4),X5)),X6)
    | element_of_collection(boundary(X0,X1,X2),top_of_basis(X6))
    | ~ topological_space(interior(boundary(X0,X1,X2),X3,X4),X5)
    | basis(interior(boundary(X0,X1,X2),X3,X4),X5) ) ).

cnf(u334,axiom,
    ( element_of_set(f7(union_of_members(X0),X1),f1(X0,f7(union_of_members(X0),X1)))
    | ~ topological_space(union_of_members(X0),X1)
    | basis(union_of_members(X0),X1) ) ).

cnf(u7131,axiom,
    ( element_of_set(f11(X8,f13(X0,X1,X2,f11(X7,closure(X5,X3,X4)))),interior(X0,X1,X2))
    | element_of_set(X6,f10(X7,closure(X5,X3,X4),X6))
    | ~ element_of_set(X6,closure(X5,X3,X4))
    | ~ subset_sets(X5,interior(X0,X1,X2))
    | ~ closed(interior(X0,X1,X2),X3,X4)
    | element_of_collection(f13(X0,X1,X2,f11(X7,closure(X5,X3,X4))),top_of_basis(X8)) ) ).

cnf(u9935,axiom,
    ( ~ topological_space(closure(X4,X5,X6),X7)
    | element_of_set(f11(subspace_topology(X0,X1,X2),X3),X3)
    | topological_space(X0,X1)
    | ~ subset_sets(X4,X3)
    | ~ closed(X3,X5,X6)
    | basis(closure(X4,X5,X6),X7) ) ).

cnf(u734,axiom,
    ( ~ closed(interior(X1,X2,X3),cx,ct)
    | ~ subset_sets(a,interior(X1,X2,X3))
    | element_of_set(f20(sF1,X0),f13(X1,X2,X3,f20(sF1,X0)))
    | ~ topological_space(sF1,X0)
    | hausdorff(sF1,X0) ) ).

cnf(u7484,axiom,
    ( element_of_set(f11(X0,f13(a,cx,ct,X1)),union_of_members(ct))
    | element_of_set(X2,f10(X0,f13(a,cx,ct,X1),X2))
    | ~ element_of_set(X2,f13(a,cx,ct,X1))
    | ~ element_of_set(X1,sF0) ) ).

cnf(u9822,axiom,
    ( ~ element_of_set(X9,f13(X0,X1,top_of_basis(subspace_topology(X2,X3,X4)),f7(closure(X7,X5,X6),X8)))
    | basis(closure(X7,X5,X6),X8)
    | ~ topological_space(closure(X7,X5,X6),X8)
    | ~ subset_sets(X7,interior(X0,X1,top_of_basis(subspace_topology(X2,X3,X4))))
    | ~ closed(interior(X0,X1,top_of_basis(subspace_topology(X2,X3,X4))),X5,X6)
    | subset_sets(X4,X2) ) ).

cnf(u7050,axiom,
    ( ~ closed(f13(a,cx,ct,f20(sF0,X4)),X2,X3)
    | ~ element_of_set(X5,closure(X1,X2,X3))
    | element_of_set(X5,f10(X0,closure(X1,X2,X3),X5))
    | ~ subset_sets(X1,f13(a,cx,ct,f20(sF0,X4)))
    | hausdorff(sF0,X4)
    | ~ topological_space(sF0,X4)
    | element_of_set(f11(X0,closure(X1,X2,X3)),union_of_members(ct)) ) ).

cnf(u608,negated_conjecture,
    ( ~ subset_sets(f14(f16(X0,X1,X2,X3),cx,ct,X4),X2)
    | ~ subset_sets(f16(X0,X1,X2,X3),a)
    | element_of_set(X5,a)
    | ~ subset_sets(f16(X0,X1,X2,X3),cx)
    | limit_point(X0,X1,X2,X3)
    | ~ topological_space(X2,X3)
    | element_of_set(X4,f14(f16(X0,X1,X2,X3),cx,ct,X5))
    | ~ element_of_set(X6,f16(X0,X1,X2,X3))
    | ~ subset_sets(X1,X2)
    | element_of_set(X6,interior(f14(f16(X0,X1,X2,X3),cx,ct,X4),X2,X3)) ) ).

cnf(u3889,negated_conjecture,
    ( closed(f14(a,cx,ct,f11(X0,f14(sF1,X1,X2,X3))),cx,ct)
    | element_of_collection(f14(sF1,X1,X2,X3),top_of_basis(X0))
    | ~ element_of_collection(sF1,X0)
    | element_of_set(X3,closure(sF1,X1,X2))
    | ~ subset_sets(sF1,X1)
    | ~ topological_space(X1,X2) ) ).

cnf(u1071,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,f7(sF0,X4)),X1,X2)
    | basis(sF0,X4)
    | ~ topological_space(sF0,X4)
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ subset_sets(X0,f13(a,cx,ct,f7(sF0,X4)))
    | element_of_set(f20(closure(X0,X1,X2),X3),sF0)
    | ~ topological_space(closure(X0,X1,X2),X3) ) ).

cnf(u1489,axiom,
    ( ~ element_of_collection(X1,top_of_basis(subspace_topology(X2,X3,X4)))
    | ~ element_of_set(X0,X1)
    | topological_space(X2,X3) ) ).

cnf(u3605,axiom,
    ( ~ closed(closure(X4,X5,X6),X2,X3)
    | element_of_collection(boundary(X1,X2,X3),top_of_basis(X0))
    | ~ subset_sets(X1,closure(X4,X5,X6))
    | subset_sets(X7,X8)
    | element_of_set(f11(subspace_topology(X8,X9,X7),closure(X4,X5,X6)),X10)
    | ~ closed(X10,X5,X6)
    | ~ subset_sets(X4,X10) ) ).

cnf(u3945,axiom,
    ( element_of_set(f11(X0,union_of_members(ct)),union_of_members(ct))
    | element_of_set(X1,union_of_members(top_of_basis(X0)))
    | ~ element_of_set(X1,sF0) ) ).

cnf(u8176,negated_conjecture,
    ( element_of_set(f11(X1,f10(ct,a,X0)),f10(ct,a,X0))
    | ~ element_of_set(X0,a)
    | element_of_set(X0,union_of_members(top_of_basis(X1))) ) ).

cnf(limit_point_63,axiom,
    ( ~ limit_point(X0,X1,X2,X3)
    | topological_space(X2,X3) ) ).

cnf(u1617,axiom,
    ( ~ closed(relative_complement_sets(X4,X5),X1,X2)
    | ~ subset_sets(X0,relative_complement_sets(X4,X5))
    | ~ topological_space(closure(X0,X1,X2),X3)
    | basis(closure(X0,X1,X2),X3)
    | element_of_set(f7(closure(X0,X1,X2),X3),union_of_members(X6))
    | ~ closed(X4,X5,X6) ) ).

cnf(u8020,axiom,
    ( ~ closed(f13(closure(X0,X1,X2),X3,X4,f11(X5,interior(closure(X0,X1,X2),X3,X4))),X1,X2)
    | ~ element_of_set(X6,interior(closure(X0,X1,X2),X3,X4))
    | ~ element_of_set(X7,closure(X0,X1,X2))
    | element_of_set(X6,f10(X5,interior(closure(X0,X1,X2),X3,X4),X6))
    | ~ subset_sets(X0,f13(closure(X0,X1,X2),X3,X4,f11(X5,interior(closure(X0,X1,X2),X3,X4))))
    | ~ element_of_collection(f13(closure(X0,X1,X2),X3,X4,f11(X5,interior(closure(X0,X1,X2),X3,X4))),X8)
    | element_of_set(X7,f10(X8,closure(X0,X1,X2),X7)) ) ).

cnf(u7394,axiom,
    ( element_of_set(X13,interior(f14(f13(X0,X1,X2,f11(X3,boundary(X4,X5,X6))),X7,X8,f11(X12,f14(closure(f13(X0,X1,X2,f11(X3,boundary(X4,X5,X6))),X7,X8),X9,X10,X11))),X1,X2))
    | ~ element_of_collection(closure(f13(X0,X1,X2,f11(X3,boundary(X4,X5,X6))),X7,X8),X12)
    | ~ subset_sets(f13(X0,X1,X2,f11(X3,boundary(X4,X5,X6))),X7)
    | ~ topological_space(X7,X8)
    | element_of_set(X11,closure(closure(f13(X0,X1,X2,f11(X3,boundary(X4,X5,X6))),X7,X8),X9,X10))
    | ~ subset_sets(closure(f13(X0,X1,X2,f11(X3,boundary(X4,X5,X6))),X7,X8),X9)
    | ~ topological_space(X9,X10)
    | ~ subset_sets(X4,interior(X0,X1,X2))
    | element_of_collection(boundary(X4,X5,X6),top_of_basis(X3))
    | ~ subset_sets(f14(f13(X0,X1,X2,f11(X3,boundary(X4,X5,X6))),X7,X8,f11(X12,f14(closure(f13(X0,X1,X2,f11(X3,boundary(X4,X5,X6))),X7,X8),X9,X10,X11))),X1)
    | ~ element_of_set(X13,f13(X0,X1,X2,f11(X3,boundary(X4,X5,X6))))
    | ~ closed(interior(X0,X1,X2),X5,X6)
    | element_of_collection(f14(closure(f13(X0,X1,X2,f11(X3,boundary(X4,X5,X6))),X7,X8),X9,X10,X11),top_of_basis(X12)) ) ).

cnf(u3507,axiom,
    ( ~ element_of_collection(f13(union_of_members(ct),X2,X3,f7(interior(union_of_members(ct),X2,X3),X4)),X0)
    | ~ element_of_set(X1,f13(union_of_members(ct),X2,X3,f7(interior(union_of_members(ct),X2,X3),X4)))
    | ~ topological_space(sF0,X0)
    | element_of_set(X1,interior(union_of_members(ct),sF0,X0))
    | ~ topological_space(interior(union_of_members(ct),X2,X3),X4)
    | basis(interior(union_of_members(ct),X2,X3),X4) ) ).

cnf(u9923,axiom,
    ( element_of_set(f11(subspace_topology(X0,X1,X2),closure(X3,X4,X5)),closure(X3,X4,X5))
    | closed(f14(X3,X4,X5,X6),X4,X5)
    | topological_space(X0,X1)
    | ~ subset_sets(X3,X4)
    | ~ topological_space(X4,X5) ) ).

cnf(u7111,negated_conjecture,
    ( ~ subset_sets(f13(f14(X0,cx,ct,X1),X2,X3,f11(X4,closure(X5,X6,X7))),cx)
    | ~ closed(interior(f14(X0,cx,ct,X1),X2,X3),X6,X7)
    | ~ subset_sets(X5,interior(f14(X0,cx,ct,X1),X2,X3))
    | ~ element_of_set(X8,closure(X5,X6,X7))
    | ~ subset_sets(X0,cx)
    | element_of_set(X1,a)
    | element_of_set(X8,f10(X4,closure(X5,X6,X7),X8))
    | ~ subset_sets(X0,a)
    | subset_sets(f13(f14(X0,cx,ct,X1),X2,X3,f11(X4,closure(X5,X6,X7))),f14(f13(f14(X0,cx,ct,X1),X2,X3,f11(X4,closure(X5,X6,X7))),cx,ct,X9))
    | element_of_set(X9,f14(X0,cx,ct,X1)) ) ).

cnf(u3576,negated_conjecture,
    ( ~ closed(f1(top_of_basis(X4),X5),X2,X3)
    | element_of_collection(boundary(X1,X2,X3),top_of_basis(X0))
    | ~ subset_sets(X1,f1(top_of_basis(X4),X5))
    | ~ element_of_set(X5,sF1)
    | element_of_set(f11(X4,sF1),sF1)
    | element_of_set(f11(X0,boundary(X1,X2,X3)),union_of_members(top_of_basis(X4))) ) ).

cnf(u969,axiom,
    ( ~ closed(closure(X4,X5,X6),X1,X2)
    | ~ subset_sets(X0,closure(X4,X5,X6))
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | ~ closed(X7,X5,X6)
    | ~ subset_sets(X4,X7)
    | element_of_set(f11(X8,closure(X4,X5,X6)),X7)
    | element_of_set(f19(closure(X0,X1,X2),X3),union_of_members(top_of_basis(X8))) ) ).

cnf(u251,negated_conjecture,
    ( element_of_collection(f1(ct,X0),ct)
    | ~ element_of_set(X0,cx) ) ).

cnf(u7007,axiom,
    ( element_of_set(X0,f10(X3,f13(X1,X2,top_of_basis(X3),f19(interior(X1,X2,top_of_basis(X3)),X4)),X0))
    | ~ element_of_set(X0,f13(X1,X2,top_of_basis(X3),f19(interior(X1,X2,top_of_basis(X3)),X4)))
    | ~ topological_space(interior(X1,X2,top_of_basis(X3)),X4)
    | hausdorff(interior(X1,X2,top_of_basis(X3)),X4) ) ).

cnf(u3503,axiom,
    ( ~ closed(f13(X1,X2,X3,f19(sF1,X0)),X5,X6)
    | hausdorff(sF1,X0)
    | ~ closed(interior(X1,X2,X3),cx,ct)
    | ~ subset_sets(a,interior(X1,X2,X3))
    | element_of_set(f19(closure(X4,X5,X6),X7),interior(X1,X2,X3))
    | hausdorff(closure(X4,X5,X6),X7)
    | ~ subset_sets(X4,f13(X1,X2,X3,f19(sF1,X0)))
    | ~ topological_space(sF1,X0)
    | ~ topological_space(closure(X4,X5,X6),X7) ) ).

cnf(subspace_topology_44,axiom,
    ( ~ element_of_collection(X0,subspace_topology(X1,X2,X3))
    | element_of_collection(f12(X1,X2,X3,X0),X2) ) ).

cnf(u3654,axiom,
    ( ~ subset_sets(f13(X0,X1,X2,f11(X6,boundary(X5,X3,X4))),X7)
    | ~ subset_sets(X5,interior(X0,X1,X2))
    | element_of_collection(boundary(X5,X3,X4),top_of_basis(X6))
    | ~ subset_sets(X7,X1)
    | ~ element_of_set(X8,f13(X0,X1,X2,f11(X6,boundary(X5,X3,X4))))
    | ~ closed(interior(X0,X1,X2),X3,X4)
    | element_of_set(X8,interior(X7,X1,X2)) ) ).

cnf(u4069,axiom,
    ( ~ subset_sets(f13(X0,X1,X2,f11(X6,boundary(X5,X3,X4))),boundary(X5,X3,X4))
    | ~ subset_sets(X5,interior(X0,X1,X2))
    | element_of_collection(boundary(X5,X3,X4),top_of_basis(X6))
    | ~ element_of_collection(f13(X0,X1,X2,f11(X6,boundary(X5,X3,X4))),X6)
    | ~ closed(interior(X0,X1,X2),X3,X4) ) ).

cnf(u1468,axiom,
    ( element_of_collection(f13(a,cx,ct,f11(X0,sF0)),ct)
    | element_of_collection(sF0,top_of_basis(X0)) ) ).

cnf(u1738,axiom,
    ( ~ closed(f13(X1,X2,X3,f20(sF1,X0)),X5,X6)
    | hausdorff(sF1,X0)
    | ~ closed(interior(X1,X2,X3),cx,ct)
    | ~ subset_sets(a,interior(X1,X2,X3))
    | element_of_set(f20(closure(X4,X5,X6),X7),interior(X1,X2,X3))
    | hausdorff(closure(X4,X5,X6),X7)
    | ~ subset_sets(X4,f13(X1,X2,X3,f20(sF1,X0)))
    | ~ topological_space(sF1,X0)
    | ~ topological_space(closure(X4,X5,X6),X7) ) ).

cnf(u8206,axiom,
    ( ~ closed(f13(X1,X2,X3,f11(X4,interior(X1,X2,X3))),X6,X7)
    | element_of_set(X0,f10(X4,interior(X1,X2,X3),X0))
    | element_of_set(f20(closure(X5,X6,X7),X8),interior(X1,X2,X3))
    | hausdorff(closure(X5,X6,X7),X8)
    | ~ subset_sets(X5,f13(X1,X2,X3,f11(X4,interior(X1,X2,X3))))
    | ~ element_of_set(X0,interior(X1,X2,X3))
    | ~ topological_space(closure(X5,X6,X7),X8) ) ).

cnf(u379,axiom,
    ( subset_sets(f13(a,cx,ct,f20(sF0,X0)),a)
    | hausdorff(sF0,X0)
    | ~ topological_space(sF0,X0) ) ).

cnf(u7294,axiom,
    ( element_of_set(f11(X1,union_of_members(ct)),union_of_members(ct))
    | element_of_set(f7(sF0,X0),union_of_members(top_of_basis(X1)))
    | ~ topological_space(sF0,X0)
    | basis(sF0,X0) ) ).

cnf(u11091,negated_conjecture,
    ( element_of_set(X0,interior(a,sF0,X1))
    | limit_point(X0,X2,X3,X4) ) ).

cnf(u1084,axiom,
    ( closed(f14(X0,X1,X2,f11(X3,f14(closure(X0,X1,X2),X4,X5,X6))),X1,X2)
    | element_of_collection(f14(closure(X0,X1,X2),X4,X5,X6),top_of_basis(X3))
    | ~ element_of_collection(closure(X0,X1,X2),X3)
    | ~ subset_sets(X0,X1)
    | ~ topological_space(X1,X2)
    | element_of_set(X6,closure(closure(X0,X1,X2),X4,X5))
    | ~ subset_sets(closure(X0,X1,X2),X4)
    | ~ topological_space(X4,X5) ) ).

cnf(u1004,negated_conjecture,
    ( element_of_set(f7(f13(a,cx,ct,f19(closure(X2,X0,X1),X3)),X4),sF0)
    | ~ subset_sets(X2,sF0)
    | ~ topological_space(closure(X2,X0,X1),X3)
    | hausdorff(closure(X2,X0,X1),X3)
    | ~ closed(sF0,X0,X1)
    | basis(f13(a,cx,ct,f19(closure(X2,X0,X1),X3)),X4)
    | ~ topological_space(f13(a,cx,ct,f19(closure(X2,X0,X1),X3)),X4) ) ).

cnf(u7290,axiom,
    ( element_of_set(f7(sF0,X0),union_of_members(ct))
    | basis(sF0,X0)
    | ~ topological_space(sF0,X0) ) ).

cnf(basis_for_topology_29,axiom,
    ( ~ element_of_set(X2,intersection_of_sets(X3,X4))
    | ~ element_of_set(X2,X0)
    | ~ element_of_collection(X3,X1)
    | ~ element_of_collection(X4,X1)
    | ~ basis(X0,X1)
    | element_of_set(X2,f6(X0,X1,X2,X3,X4)) ) ).

cnf(u11694,negated_conjecture,
    ( element_of_set(f11(X5,interior(a,a,X6)),interior(a,a,X6))
    | element_of_set(f15(X1,X4,X2,X3,X0),union_of_members(top_of_basis(X5)))
    | ~ limit_point(X1,X4,X2,X3)
    | ~ neighborhood(X0,X1,X2,X3) ) ).

cnf(u1291,negated_conjecture,
    ( element_of_set(f11(X1,sF1),f14(a,cx,ct,X2))
    | element_of_set(X0,f1(top_of_basis(X1),X0))
    | element_of_set(X2,sF1)
    | ~ element_of_set(X0,sF1) ) ).

cnf(u11167,axiom,
    closed(X0,X1,X2) ).

cnf(u6657,negated_conjecture,
    ( element_of_set(f7(f13(a,cx,ct,f11(X3,closure(X0,X1,X2))),X4),interior(a,sF0,ct))
    | element_of_collection(closure(X0,X1,X2),top_of_basis(X3))
    | ~ closed(sF0,X1,X2)
    | ~ subset_sets(X0,sF0)
    | basis(f13(a,cx,ct,f11(X3,closure(X0,X1,X2))),X4)
    | ~ topological_space(f13(a,cx,ct,f11(X3,closure(X0,X1,X2))),X4) ) ).

cnf(u3944,negated_conjecture,
    ( element_of_set(f11(X0,union_of_members(ct)),union_of_members(ct))
    | element_of_set(X1,union_of_members(top_of_basis(X0)))
    | ~ element_of_set(X1,empty_set) ) ).

cnf(u1638,axiom,
    ( ~ closed(closure(X4,X5,X6),X1,X2)
    | ~ subset_sets(X0,closure(X4,X5,X6))
    | ~ topological_space(closure(X0,X1,X2),X3)
    | basis(closure(X0,X1,X2),X3)
    | subset_sets(X4,X5) ) ).

cnf(u7511,axiom,
    ( element_of_set(f11(X0,f13(X1,X2,X3,f20(closure(X4,X5,X6),X7))),interior(X1,X2,X3))
    | element_of_set(X8,f10(X0,f13(X1,X2,X3,f20(closure(X4,X5,X6),X7)),X8))
    | ~ topological_space(closure(X4,X5,X6),X7)
    | hausdorff(closure(X4,X5,X6),X7)
    | ~ closed(interior(X1,X2,X3),X5,X6)
    | ~ subset_sets(X4,interior(X1,X2,X3))
    | ~ element_of_set(X8,f13(X1,X2,X3,f20(closure(X4,X5,X6),X7))) ) ).

cnf(u1069,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,f7(sF0,X4)),X1,X2)
    | basis(sF0,X4)
    | ~ topological_space(sF0,X4)
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ subset_sets(X0,f13(a,cx,ct,f7(sF0,X4)))
    | element_of_set(f19(closure(X0,X1,X2),X3),sF0)
    | ~ topological_space(closure(X0,X1,X2),X3) ) ).

cnf(u955,axiom,
    ( element_of_set(f19(closure(X0,X1,X2),X3),f13(X4,X5,X6,f19(closure(X0,X1,X2),X3)))
    | ~ subset_sets(X0,interior(X4,X5,X6))
    | ~ closed(interior(X4,X5,X6),X1,X2)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | hausdorff(closure(X0,X1,X2),X3) ) ).

cnf(u3549,axiom,
    ( ~ topological_space(X7,subspace_topology(X2,X3,X4))
    | ~ topological_space(X2,X3)
    | ~ subset_sets(X4,X2)
    | limit_point(X5,X0,X1,subspace_topology(X6,X3,X4))
    | ~ topological_space(X1,subspace_topology(X6,X3,X4))
    | element_of_collection(f1(subspace_topology(X2,X3,X4),X5),subspace_topology(X2,X3,X4))
    | ~ subset_sets(X0,X1)
    | ~ subset_sets(X0,X7) ) ).

cnf(u1739,axiom,
    ( ~ element_of_set(X0,X1)
    | subset_sets(X2,X3)
    | element_of_set(f11(subspace_topology(X3,X4,X2),X1),X1) ) ).

cnf(u8357,axiom,
    ( ~ subset_sets(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X5)
    | ~ element_of_set(X4,interior(X0,X1,X2))
    | ~ subset_sets(X5,X1)
    | ~ element_of_set(X6,f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))))
    | element_of_set(X4,f10(X3,interior(X0,X1,X2),X4))
    | element_of_set(X6,interior(X5,X1,X2)) ) ).

cnf(u3846,axiom,
    ( basis(closure(X0,X1,X2),subspace_topology(X3,X4,closure(X0,X1,X2)))
    | ~ compact_set(closure(X0,X1,X2),X3,X4)
    | subset_sets(X0,X1) ) ).

cnf(u1432,axiom,
    ( element_of_collection(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X2)
    | element_of_collection(interior(X0,X1,X2),top_of_basis(X3)) ) ).

cnf(u9924,axiom,
    ( element_of_set(f11(subspace_topology(X0,X1,X2),closure(X3,X4,X5)),closure(X3,X4,X5))
    | subset_sets(X3,f14(X3,X4,X5,X6))
    | topological_space(X0,X1)
    | ~ subset_sets(X3,X4)
    | ~ topological_space(X4,X5) ) ).

cnf(u10889,negated_conjecture,
    ( ~ element_of_set(X1,a)
    | element_of_set(f11(X0,a),a)
    | element_of_set(X1,f1(X0,X1)) ) ).

cnf(u7539,negated_conjecture,
    ( element_of_set(X0,interior(a,cx,X1))
    | element_of_set(f11(X1,a),a)
    | ~ topological_space(cx,X1)
    | ~ element_of_set(X0,a) ) ).

cnf(u7091,axiom,
    ( ~ closed(f13(closure(X1,X2,X3),X4,X5,f7(interior(closure(X1,X2,X3),X4,X5),X6)),X2,X3)
    | ~ element_of_set(X0,closure(X1,X2,X3))
    | ~ subset_sets(X1,f13(closure(X1,X2,X3),X4,X5,f7(interior(closure(X1,X2,X3),X4,X5),X6)))
    | ~ element_of_collection(f13(closure(X1,X2,X3),X4,X5,f7(interior(closure(X1,X2,X3),X4,X5),X6)),X7)
    | element_of_set(X0,f10(X7,closure(X1,X2,X3),X0))
    | ~ topological_space(interior(closure(X1,X2,X3),X4,X5),X6)
    | basis(interior(closure(X1,X2,X3),X4,X5),X6) ) ).

cnf(u8185,negated_conjecture,
    ( element_of_set(f11(X1,union_of_members(top_of_basis(ct))),union_of_members(top_of_basis(ct)))
    | element_of_set(X0,union_of_members(top_of_basis(X1)))
    | ~ element_of_set(X0,a) ) ).

cnf(u3677,axiom,
    ( ~ element_of_set(X7,f13(X1,X2,X3,f11(X6,boundary(X0,X4,X5))))
    | element_of_collection(boundary(X0,X4,X5),top_of_basis(X6))
    | ~ closed(interior(X1,X2,X3),X4,X5)
    | ~ subset_sets(X0,interior(X1,X2,X3))
    | element_of_set(X7,union_of_members(X3)) ) ).

cnf(u1271,negated_conjecture,
    ( element_of_set(X3,interior(a,cx,subspace_topology(X1,X2,f13(a,cx,ct,f7(sF0,X0)))))
    | ~ topological_space(cx,subspace_topology(X1,X2,f13(a,cx,ct,f7(sF0,X0))))
    | ~ element_of_set(X3,f13(a,cx,ct,f7(sF0,X0)))
    | ~ topological_space(sF0,X0)
    | basis(sF0,X0)
    | ~ connected_set(f13(a,cx,ct,f7(sF0,X0)),X1,X2) ) ).

cnf(u4174,axiom,
    ( element_of_set(f11(subspace_topology(X1,X2,X0),f13(a,cx,ct,f20(sF0,X3))),f13(a,cx,ct,f20(sF0,X3)))
    | subset_sets(X0,X1)
    | hausdorff(sF0,X3)
    | ~ topological_space(sF0,X3) ) ).

cnf(u493,negated_conjecture,
    ( element_of_set(X2,interior(f14(f13(a,cx,ct,f20(sF0,X0)),cx,ct,X1),cx,ct))
    | ~ subset_sets(f14(f13(a,cx,ct,f20(sF0,X0)),cx,ct,X1),cx)
    | ~ element_of_set(X2,f13(a,cx,ct,f20(sF0,X0)))
    | hausdorff(sF0,X0)
    | ~ topological_space(sF0,X0)
    | ~ subset_sets(f13(a,cx,ct,f20(sF0,X0)),cx)
    | element_of_set(X1,a) ) ).

cnf(u7047,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,f19(sF0,X4)),X2,X3)
    | ~ element_of_set(X5,closure(X1,X2,X3))
    | element_of_set(X5,f10(X0,closure(X1,X2,X3),X5))
    | ~ subset_sets(X1,f13(a,cx,ct,f19(sF0,X4)))
    | element_of_set(f11(X0,closure(X1,X2,X3)),sF0)
    | ~ topological_space(sF0,X4)
    | hausdorff(sF0,X4) ) ).

cnf(u1048,axiom,
    ( ~ topological_space(closure(X2,X0,X1),X3)
    | ~ subset_sets(X2,sF1)
    | hausdorff(closure(X2,X0,X1),X3)
    | ~ closed(sF1,X0,X1)
    | ~ subset_sets(a,X4)
    | ~ closed(X4,cx,ct)
    | element_of_set(f19(closure(X2,X0,X1),X3),X4) ) ).

cnf(u9540,negated_conjecture,
    ( element_of_collection(f13(a,cx,X2,f11(subspace_topology(X1,X3,X0),interior(a,cx,X2))),X2)
    | ~ topological_space(cx,X2)
    | element_of_set(f11(X2,a),a)
    | subset_sets(X0,X1) ) ).

cnf(u790,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,f20(closure(X4,X5,X6),X7)),X2,X3)
    | element_of_collection(closure(X1,X2,X3),top_of_basis(X0))
    | ~ subset_sets(X1,f13(a,cx,ct,f20(closure(X4,X5,X6),X7)))
    | ~ closed(sF0,X5,X6)
    | ~ subset_sets(X4,sF0)
    | ~ topological_space(closure(X4,X5,X6),X7)
    | hausdorff(closure(X4,X5,X6),X7)
    | element_of_set(f11(X0,closure(X1,X2,X3)),sF0) ) ).

cnf(u424,negated_conjecture,
    ( element_of_set(f7(f1(ct,X0),X1),union_of_members(ct))
    | ~ element_of_set(X0,cx)
    | basis(f1(ct,X0),X1)
    | ~ topological_space(f1(ct,X0),X1) ) ).

cnf(u1517,axiom,
    ( element_of_set(f11(X0,sF0),f13(a,cx,ct,f11(X0,sF0)))
    | element_of_collection(sF0,top_of_basis(X0)) ) ).

cnf(u306,axiom,
    ( element_of_set(f20(union_of_members(X0),X1),f1(X0,f20(union_of_members(X0),X1)))
    | ~ topological_space(union_of_members(X0),X1)
    | hausdorff(union_of_members(X0),X1) ) ).

cnf(u7040,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,f7(sF0,X4)),X2,X3)
    | ~ element_of_set(X5,closure(X1,X2,X3))
    | element_of_set(X5,f10(X0,closure(X1,X2,X3),X5))
    | ~ subset_sets(X1,f13(a,cx,ct,f7(sF0,X4)))
    | element_of_set(f11(X0,closure(X1,X2,X3)),sF0)
    | basis(sF0,X4)
    | ~ topological_space(sF0,X4) ) ).

cnf(u621,axiom,
    ( element_of_set(f19(relative_complement_sets(X0,X1),X2),union_of_members(X3))
    | ~ closed(X0,X1,X3)
    | ~ topological_space(relative_complement_sets(X0,X1),X2)
    | hausdorff(relative_complement_sets(X0,X1),X2) ) ).

cnf(u3601,axiom,
    ( ~ closed(f13(X4,X5,X6,f19(closure(X7,X8,X9),X10)),X2,X3)
    | element_of_collection(boundary(X1,X2,X3),top_of_basis(X0))
    | ~ subset_sets(X1,f13(X4,X5,X6,f19(closure(X7,X8,X9),X10)))
    | ~ topological_space(closure(X7,X8,X9),X10)
    | hausdorff(closure(X7,X8,X9),X10)
    | ~ closed(interior(X4,X5,X6),X8,X9)
    | ~ subset_sets(X7,interior(X4,X5,X6))
    | element_of_set(f11(X0,boundary(X1,X2,X3)),interior(X4,X5,X6)) ) ).

cnf(u9809,negated_conjecture,
    ( element_of_collection(f1(ct,f7(X0,X1)),ct)
    | ~ equal_sets(union_of_members(X1),X0)
    | ~ element_of_collection(f9(X0,X1),ct)
    | ~ element_of_collection(f8(X0,X1),ct)
    | basis(X0,X1) ) ).

cnf(u10248,negated_conjecture,
    ( element_of_set(X1,f14(a,cx,ct,X0))
    | ~ element_of_set(X1,sF1)
    | element_of_set(X0,a) ) ).

cnf(topology_generated_40,axiom,
    ( element_of_collection(X0,top_of_basis(X1))
    | element_of_set(f11(X1,X0),X0) ) ).

cnf(u1602,axiom,
    ( ~ closed(f10(X4,closure(X1,X2,X3),X0),X2,X3)
    | ~ element_of_collection(closure(X1,X2,X3),top_of_basis(X4))
    | ~ element_of_set(X0,closure(X1,X2,X3))
    | ~ subset_sets(X1,f10(X4,closure(X1,X2,X3),X0))
    | ~ element_of_collection(f10(X4,closure(X1,X2,X3),X0),X5)
    | element_of_collection(closure(X1,X2,X3),top_of_basis(X5)) ) ).

cnf(u3512,axiom,
    ( ~ element_of_collection(f13(union_of_members(ct),X2,X3,f19(closure(X4,X5,X6),X7)),X0)
    | ~ element_of_set(X1,f13(union_of_members(ct),X2,X3,f19(closure(X4,X5,X6),X7)))
    | ~ topological_space(sF0,X0)
    | element_of_set(X1,interior(union_of_members(ct),sF0,X0))
    | ~ subset_sets(X4,interior(union_of_members(ct),X2,X3))
    | ~ closed(interior(union_of_members(ct),X2,X3),X5,X6)
    | ~ topological_space(closure(X4,X5,X6),X7)
    | hausdorff(closure(X4,X5,X6),X7) ) ).

cnf(u978,axiom,
    ( ~ closed(X1,cx,ct)
    | hausdorff(sF1,X0)
    | ~ subset_sets(a,X1)
    | element_of_set(f19(sF1,X0),X1)
    | ~ topological_space(sF1,X0) ) ).

cnf(u7308,axiom,
    ( ~ closed(f13(X4,X5,X6,f7(closure(X0,X1,X2),X3)),X8,X9)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | ~ closed(interior(X4,X5,X6),X1,X2)
    | ~ subset_sets(X0,interior(X4,X5,X6))
    | element_of_set(f20(closure(X7,X8,X9),X10),interior(X4,X5,X6))
    | hausdorff(closure(X7,X8,X9),X10)
    | ~ subset_sets(X7,f13(X4,X5,X6,f7(closure(X0,X1,X2),X3)))
    | basis(closure(X0,X1,X2),X3)
    | ~ topological_space(closure(X7,X8,X9),X10) ) ).

cnf(u1033,axiom,
    ( ~ subset_sets(f14(f13(X0,X1,X2,f19(sF1,X3)),X4,X5,X6),X1)
    | ~ topological_space(sF1,X3)
    | hausdorff(sF1,X3)
    | ~ closed(interior(X0,X1,X2),cx,ct)
    | ~ element_of_set(X7,f13(X0,X1,X2,f19(sF1,X3)))
    | ~ subset_sets(a,interior(X0,X1,X2))
    | element_of_set(X7,interior(f14(f13(X0,X1,X2,f19(sF1,X3)),X4,X5,X6),X1,X2))
    | element_of_set(X6,closure(f13(X0,X1,X2,f19(sF1,X3)),X4,X5))
    | ~ subset_sets(f13(X0,X1,X2,f19(sF1,X3)),X4)
    | ~ topological_space(X4,X5) ) ).

cnf(u9141,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X3,X4,X2),f13(a,cx,X0,X1)),f13(a,cx,X0,X1))
    | ~ element_of_set(X1,a)
    | ~ topological_space(cx,X0)
    | subset_sets(X2,X3)
    | element_of_set(f11(X0,a),sF0) ) ).

cnf(u263,axiom,
    ( ~ element_of_set(X2,f22(X0,X1))
    | ~ topological_space(X0,X1)
    | connected_space(X0,X1)
    | element_of_set(X2,union_of_members(X1)) ) ).

cnf(u8202,axiom,
    ( ~ closed(f13(X1,X2,X3,f11(X4,interior(X1,X2,X3))),X7,X8)
    | element_of_set(X0,f10(X4,interior(X1,X2,X3),X0))
    | element_of_set(f11(X5,boundary(X6,X7,X8)),interior(X1,X2,X3))
    | element_of_collection(boundary(X6,X7,X8),top_of_basis(X5))
    | ~ element_of_set(X0,interior(X1,X2,X3))
    | ~ subset_sets(X6,f13(X1,X2,X3,f11(X4,interior(X1,X2,X3)))) ) ).

cnf(u44744,axiom,
    ( ~ subset_collections(f23(X1,f24(X1,X2),X0),X2)
    | compact_space(X1,X2)
    | ~ compact_space(X1,f24(X1,X2))
    | ~ open_covering(X0,X1,f24(X1,X2)) ) ).

cnf(u7157,axiom,
    ( ~ subset_sets(f14(f13(X0,X1,X2,f11(X7,closure(X5,X3,X4))),X8,X9,X10),X1)
    | ~ subset_sets(X5,interior(X0,X1,X2))
    | ~ element_of_set(X6,closure(X5,X3,X4))
    | ~ closed(interior(X0,X1,X2),X3,X4)
    | ~ element_of_set(X11,f13(X0,X1,X2,f11(X7,closure(X5,X3,X4))))
    | element_of_set(X6,f10(X7,closure(X5,X3,X4),X6))
    | element_of_set(X11,interior(f14(f13(X0,X1,X2,f11(X7,closure(X5,X3,X4))),X8,X9,X10),X1,X2))
    | element_of_set(X10,closure(f13(X0,X1,X2,f11(X7,closure(X5,X3,X4))),X8,X9))
    | ~ subset_sets(f13(X0,X1,X2,f11(X7,closure(X5,X3,X4))),X8)
    | ~ topological_space(X8,X9) ) ).

cnf(u4066,axiom,
    ( element_of_set(f11(X7,f13(X0,X1,X2,f11(X6,boundary(X5,X3,X4)))),f13(X0,X1,X2,f11(X6,boundary(X5,X3,X4))))
    | element_of_set(f11(X6,boundary(X5,X3,X4)),union_of_members(top_of_basis(X7)))
    | element_of_collection(boundary(X5,X3,X4),top_of_basis(X6))
    | ~ subset_sets(X5,interior(X0,X1,X2))
    | ~ closed(interior(X0,X1,X2),X3,X4) ) ).

cnf(finer_topology_25,axiom,
    ( ~ finer(X0,X1,X2)
    | topological_space(X2,X1) ) ).

cnf(u937,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,f11(X4,sF0)),X2,X3)
    | element_of_collection(sF0,top_of_basis(X4))
    | element_of_collection(closure(X1,X2,X3),top_of_basis(X0))
    | element_of_set(f11(X0,closure(X1,X2,X3)),sF0)
    | ~ subset_sets(X1,f13(a,cx,ct,f11(X4,sF0))) ) ).

cnf(u711,negated_conjecture,
    ( element_of_set(f20(sF1,X0),f14(a,cx,ct,X1))
    | hausdorff(sF1,X0)
    | element_of_set(X1,sF1)
    | ~ topological_space(sF1,X0) ) ).

cnf(u3026,axiom,
    ( element_of_set(f20(f13(X4,X5,X6,f19(closure(X0,X1,X2),X3)),X7),interior(X4,X5,X6))
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ closed(interior(X4,X5,X6),X1,X2)
    | ~ subset_sets(X0,interior(X4,X5,X6))
    | ~ topological_space(closure(X0,X1,X2),X3)
    | ~ topological_space(f13(X4,X5,X6,f19(closure(X0,X1,X2),X3)),X7)
    | hausdorff(f13(X4,X5,X6,f19(closure(X0,X1,X2),X3)),X7) ) ).

cnf(u7218,axiom,
    ( ~ closed(f13(boundary(X0,X1,X2),X3,X4,f11(X5,closure(X6,X7,X8))),X1,X2)
    | ~ subset_sets(X0,f13(boundary(X0,X1,X2),X3,X4,f11(X5,closure(X6,X7,X8))))
    | ~ element_of_collection(f13(boundary(X0,X1,X2),X3,X4,f11(X5,closure(X6,X7,X8))),X9)
    | element_of_collection(boundary(X0,X1,X2),top_of_basis(X9))
    | element_of_set(X10,f10(X5,closure(X6,X7,X8),X10))
    | ~ closed(interior(boundary(X0,X1,X2),X3,X4),X7,X8)
    | ~ subset_sets(X6,interior(boundary(X0,X1,X2),X3,X4))
    | ~ element_of_set(X10,closure(X6,X7,X8)) ) ).

cnf(u8350,axiom,
    ( element_of_collection(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X2)
    | element_of_set(X4,f10(X3,interior(X0,X1,X2),X4))
    | ~ element_of_set(X4,interior(X0,X1,X2)) ) ).

cnf(u7712,negated_conjecture,
    ( element_of_set(f11(X2,f13(a,cx,X0,X1)),interior(a,cx,X0))
    | element_of_set(X3,f10(X2,f13(a,cx,X0,X1),X3))
    | ~ topological_space(cx,X0)
    | ~ element_of_set(X1,a)
    | element_of_set(f11(X0,a),a)
    | ~ element_of_set(X3,f13(a,cx,X0,X1)) ) ).

cnf(u4011,axiom,
    ( element_of_set(f11(X0,f13(X1,X2,X3,f19(closure(X4,X5,X6),X7))),f13(X1,X2,X3,f19(closure(X4,X5,X6),X7)))
    | element_of_set(f19(closure(X4,X5,X6),X7),union_of_members(top_of_basis(X0)))
    | ~ subset_sets(X4,interior(X1,X2,X3))
    | ~ closed(interior(X1,X2,X3),X5,X6)
    | ~ topological_space(closure(X4,X5,X6),X7)
    | hausdorff(closure(X4,X5,X6),X7) ) ).

cnf(u1603,negated_conjecture,
    ( closed(f14(f10(X3,f14(X1,cx,ct,X2),X0),cx,ct,X4),cx,ct)
    | ~ element_of_collection(f14(X1,cx,ct,X2),top_of_basis(X3))
    | ~ subset_sets(X1,cx)
    | element_of_set(X2,a)
    | ~ subset_sets(f10(X3,f14(X1,cx,ct,X2),X0),cx)
    | ~ subset_sets(X1,a)
    | ~ element_of_set(X0,f14(X1,cx,ct,X2))
    | element_of_set(X4,f14(X1,cx,ct,X2)) ) ).

cnf(u4025,axiom,
    ( element_of_set(f11(X0,f13(X1,X2,X3,f20(interior(X1,X2,X3),X4))),f13(X1,X2,X3,f20(interior(X1,X2,X3),X4)))
    | element_of_set(f20(interior(X1,X2,X3),X4),union_of_members(top_of_basis(X0)))
    | hausdorff(interior(X1,X2,X3),X4)
    | ~ topological_space(interior(X1,X2,X3),X4) ) ).

cnf(u7690,negated_conjecture,
    ( element_of_set(X5,interior(f14(f13(a,cx,X1,X0),X2,X3,X4),cx,X1))
    | element_of_set(f11(X1,a),a)
    | ~ subset_sets(f14(f13(a,cx,X1,X0),X2,X3,X4),cx)
    | ~ element_of_set(X5,f13(a,cx,X1,X0))
    | ~ topological_space(cx,X1)
    | ~ element_of_set(X0,a)
    | element_of_set(X4,closure(f13(a,cx,X1,X0),X2,X3))
    | ~ subset_sets(f13(a,cx,X1,X0),X2)
    | ~ topological_space(X2,X3) ) ).

cnf(topological_space_14,axiom,
    ( ~ equal_sets(union_of_members(X1),X0)
    | topological_space(X0,X1)
    | ~ element_of_collection(empty_set,X1)
    | ~ element_of_collection(X0,X1)
    | element_of_collection(f4(X0,X1),X1)
    | subset_collections(f5(X0,X1),X1) ) ).

cnf(u9599,negated_conjecture,
    ( ~ subset_sets(X3,f13(a,cx,X2,f11(subspace_topology(X1,X6,X0),interior(a,cx,X2))))
    | element_of_set(f11(X2,a),sF0)
    | ~ topological_space(cx,X2)
    | ~ element_of_collection(X3,X4)
    | ~ topological_space(a,X4)
    | ~ element_of_set(X5,X3)
    | subset_sets(X0,X1)
    | element_of_set(X5,interior(f13(a,cx,X2,f11(subspace_topology(X1,X6,X0),interior(a,cx,X2))),a,X4)) ) ).

cnf(u3727,axiom,
    ( ~ topological_space(closure(X3,X4,X5),X7)
    | element_of_set(f11(subspace_topology(X0,X1,X2),closure(X3,X4,X5)),X6)
    | ~ closed(X6,X4,X5)
    | ~ subset_sets(X3,X6)
    | topological_space(X0,X1)
    | hausdorff(closure(X3,X4,X5),X7) ) ).

cnf(u1625,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,f7(sF0,X4)),X1,X2)
    | ~ subset_sets(X0,f13(a,cx,ct,f7(sF0,X4)))
    | ~ topological_space(closure(X0,X1,X2),X3)
    | basis(closure(X0,X1,X2),X3)
    | element_of_set(f7(closure(X0,X1,X2),X3),sF0)
    | basis(sF0,X4)
    | ~ topological_space(sF0,X4) ) ).

cnf(u3632,negated_conjecture,
    ( subset_sets(f13(f14(X0,cx,ct,X1),X2,X3,f11(X7,boundary(X6,X4,X5))),f14(f13(f14(X0,cx,ct,X1),X2,X3,f11(X7,boundary(X6,X4,X5))),cx,ct,X8))
    | ~ subset_sets(X6,interior(f14(X0,cx,ct,X1),X2,X3))
    | element_of_collection(boundary(X6,X4,X5),top_of_basis(X7))
    | ~ subset_sets(X0,cx)
    | element_of_set(X1,a)
    | ~ subset_sets(f13(f14(X0,cx,ct,X1),X2,X3,f11(X7,boundary(X6,X4,X5))),cx)
    | ~ subset_sets(X0,a)
    | ~ closed(interior(f14(X0,cx,ct,X1),X2,X3),X4,X5)
    | element_of_set(X8,f14(X0,cx,ct,X1)) ) ).

cnf(u4170,axiom,
    ( element_of_set(f11(subspace_topology(X1,X2,X0),f13(X3,X4,X5,f20(interior(X3,X4,X5),X6))),f13(X3,X4,X5,f20(interior(X3,X4,X5),X6)))
    | subset_sets(X0,X1)
    | hausdorff(interior(X3,X4,X5),X6)
    | ~ topological_space(interior(X3,X4,X5),X6) ) ).

cnf(u9802,axiom,
    ( element_of_collection(union_of_members(subspace_topology(X0,X1,X2)),top_of_basis(X3))
    | subset_sets(X2,X0) ) ).

cnf(u10028,axiom,
    ( element_of_set(f11(subspace_topology(X0,X1,X2),f13(X3,X4,X5,f20(closure(X6,X7,X8),X9))),f13(X3,X4,X5,f20(closure(X6,X7,X8),X9)))
    | topological_space(X0,X1)
    | ~ subset_sets(X6,interior(X3,X4,X5))
    | ~ closed(interior(X3,X4,X5),X7,X8)
    | ~ topological_space(closure(X6,X7,X8),X9)
    | hausdorff(closure(X6,X7,X8),X9) ) ).

cnf(u436,axiom,
    ( element_of_collection(f12(X0,X1,X2,f8(X3,subspace_topology(X0,X1,X2))),X1)
    | basis(X3,subspace_topology(X0,X1,X2))
    | ~ topological_space(X3,subspace_topology(X0,X1,X2)) ) ).

cnf(u3855,axiom,
    ( element_of_collection(sF0,top_of_basis(subspace_topology(X0,X1,union_of_members(ct))))
    | ~ compact_set(union_of_members(ct),X0,X1) ) ).

cnf(u9624,negated_conjecture,
    ( ~ closed(f13(a,cx,X0,f11(subspace_topology(X2,X7,X1),interior(a,cx,X0))),X4,X5)
    | ~ topological_space(cx,X0)
    | subset_sets(X1,X2)
    | element_of_set(f20(closure(X3,X4,X5),X6),interior(a,cx,X0))
    | hausdorff(closure(X3,X4,X5),X6)
    | ~ subset_sets(X3,f13(a,cx,X0,f11(subspace_topology(X2,X7,X1),interior(a,cx,X0))))
    | element_of_set(f11(X0,a),sF0)
    | ~ topological_space(closure(X3,X4,X5),X6) ) ).

cnf(u1732,axiom,
    ( ~ closed(f13(X1,X2,X3,f20(sF1,X0)),X5,X6)
    | hausdorff(sF1,X0)
    | ~ closed(interior(X1,X2,X3),cx,ct)
    | ~ subset_sets(a,interior(X1,X2,X3))
    | element_of_set(f7(closure(X4,X5,X6),X7),interior(X1,X2,X3))
    | ~ topological_space(closure(X4,X5,X6),X7)
    | ~ subset_sets(X4,f13(X1,X2,X3,f20(sF1,X0)))
    | ~ topological_space(sF1,X0)
    | basis(closure(X4,X5,X6),X7) ) ).

cnf(u8342,negated_conjecture,
    ( element_of_set(f11(X0,f13(a,cx,ct,X1)),union_of_members(top_of_basis(X3)))
    | element_of_set(X2,f10(X0,f13(a,cx,ct,X1),X2))
    | ~ element_of_set(X1,sF0)
    | element_of_set(f11(X3,sF0),sF0)
    | ~ element_of_set(X2,f13(a,cx,ct,X1)) ) ).

cnf(u7061,axiom,
    ( ~ closed(f13(X4,X5,X6,f20(closure(X7,X8,X9),X10)),X2,X3)
    | ~ element_of_set(X11,closure(X1,X2,X3))
    | element_of_set(X11,f10(X0,closure(X1,X2,X3),X11))
    | ~ subset_sets(X1,f13(X4,X5,X6,f20(closure(X7,X8,X9),X10)))
    | ~ topological_space(closure(X7,X8,X9),X10)
    | hausdorff(closure(X7,X8,X9),X10)
    | ~ closed(interior(X4,X5,X6),X8,X9)
    | ~ subset_sets(X7,interior(X4,X5,X6))
    | element_of_set(f11(X0,closure(X1,X2,X3)),interior(X4,X5,X6)) ) ).

cnf(u617,negated_conjecture,
    ( ~ subset_sets(f14(f13(a,cx,ct,f20(sF0,X0)),cx,ct,X1),cx)
    | element_of_set(X2,a)
    | ~ subset_sets(f13(a,cx,ct,f20(sF0,X0)),cx)
    | ~ topological_space(sF0,X0)
    | element_of_set(X1,f14(f13(a,cx,ct,f20(sF0,X0)),cx,ct,X2))
    | ~ element_of_set(X3,f13(a,cx,ct,f20(sF0,X0)))
    | hausdorff(sF0,X0)
    | element_of_set(X3,interior(f14(f13(a,cx,ct,f20(sF0,X0)),cx,ct,X1),cx,ct)) ) ).

cnf(u3577,axiom,
    ( ~ closed(intersection_of_members(X4),X2,X3)
    | element_of_collection(boundary(X1,X2,X3),top_of_basis(X0))
    | ~ subset_sets(X1,intersection_of_members(X4))
    | ~ element_of_collection(X5,X4)
    | element_of_set(f11(X0,boundary(X1,X2,X3)),X5) ) ).

cnf(u1010,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,f19(closure(X2,X0,X1),X3)),X5,X6)
    | ~ subset_sets(X2,sF0)
    | ~ topological_space(closure(X2,X0,X1),X3)
    | hausdorff(closure(X2,X0,X1),X3)
    | element_of_set(f20(closure(X4,X5,X6),X7),sF0)
    | hausdorff(closure(X4,X5,X6),X7)
    | ~ subset_sets(X4,f13(a,cx,ct,f19(closure(X2,X0,X1),X3)))
    | ~ closed(sF0,X0,X1)
    | ~ topological_space(closure(X4,X5,X6),X7) ) ).

cnf(u9702,axiom,
    ( ~ subset_sets(f10(X2,sF0,f11(X0,X1)),X1)
    | ~ element_of_set(f11(X0,X1),sF0)
    | element_of_collection(X1,top_of_basis(X0))
    | ~ element_of_collection(f10(X2,sF0,f11(X0,X1)),X0)
    | subset_sets(f13(a,cx,ct,f11(X2,sF0)),a) ) ).

cnf(u6989,negated_conjecture,
    ( element_of_set(X0,f10(X1,boundary(a,cx,ct),X0))
    | ~ element_of_set(X0,boundary(a,cx,ct)) ) ).

cnf(u1248,negated_conjecture,
    ( closed(f14(f13(f14(X0,cx,ct,X1),X2,X3,f19(closure(X4,X5,X6),X7)),cx,ct,X8),cx,ct)
    | element_of_set(X1,a)
    | ~ subset_sets(f13(f14(X0,cx,ct,X1),X2,X3,f19(closure(X4,X5,X6),X7)),cx)
    | ~ subset_sets(X0,a)
    | ~ subset_sets(X0,cx)
    | element_of_set(X8,f14(X0,cx,ct,X1))
    | ~ subset_sets(X4,interior(f14(X0,cx,ct,X1),X2,X3))
    | ~ closed(interior(f14(X0,cx,ct,X1),X2,X3),X5,X6)
    | ~ topological_space(closure(X4,X5,X6),X7)
    | hausdorff(closure(X4,X5,X6),X7) ) ).

cnf(u10573,negated_conjecture,
    basis(a,X0) ).

cnf(u8335,negated_conjecture,
    ( ~ element_of_collection(f13(f13(a,cx,X1,X0),X2,X3,f20(interior(f13(a,cx,X1,X0),X2,X3),X4)),X5)
    | element_of_set(f11(X1,a),a)
    | ~ element_of_set(X0,a)
    | ~ topological_space(a,X5)
    | ~ element_of_set(X6,f13(f13(a,cx,X1,X0),X2,X3,f20(interior(f13(a,cx,X1,X0),X2,X3),X4)))
    | ~ topological_space(cx,X1)
    | element_of_set(X6,interior(f13(a,cx,X1,X0),a,X5))
    | hausdorff(interior(f13(a,cx,X1,X0),X2,X3),X4)
    | ~ topological_space(interior(f13(a,cx,X1,X0),X2,X3),X4) ) ).

cnf(u3505,axiom,
    ( ~ closed(f13(X1,X2,X3,f19(sF1,X0)),X5,X6)
    | hausdorff(sF1,X0)
    | ~ closed(interior(X1,X2,X3),cx,ct)
    | ~ subset_sets(a,interior(X1,X2,X3))
    | element_of_set(f20(closure(X4,X5,X6),X7),interior(X1,X2,X3))
    | hausdorff(closure(X4,X5,X6),X7)
    | ~ subset_sets(X4,f13(X1,X2,X3,f19(sF1,X0)))
    | ~ topological_space(sF1,X0)
    | ~ topological_space(closure(X4,X5,X6),X7) ) ).

cnf(u8101,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,X4),X1,X2)
    | ~ element_of_set(X4,a)
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ subset_sets(X0,f13(a,cx,ct,X4))
    | element_of_set(f19(closure(X0,X1,X2),X3),sF0)
    | ~ topological_space(closure(X0,X1,X2),X3) ) ).

cnf(u6662,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,f11(X3,closure(X0,X1,X2))),X6,X7)
    | element_of_set(f11(X4,boundary(X5,X6,X7)),interior(a,sF0,ct))
    | ~ closed(sF0,X1,X2)
    | ~ subset_sets(X0,sF0)
    | element_of_collection(boundary(X5,X6,X7),top_of_basis(X4))
    | element_of_collection(closure(X0,X1,X2),top_of_basis(X3))
    | ~ subset_sets(X5,f13(a,cx,ct,f11(X3,closure(X0,X1,X2)))) ) ).

cnf(u8098,negated_conjecture,
    ( element_of_set(f19(f13(a,cx,ct,X0),X1),sF0)
    | ~ element_of_set(X0,a)
    | ~ topological_space(f13(a,cx,ct,X0),X1)
    | hausdorff(f13(a,cx,ct,X0),X1) ) ).

cnf(u3705,axiom,
    ( ~ element_of_set(X0,f12(X1,top_of_basis(subspace_topology(X2,X3,X4)),X5,f16(X6,X7,X8,subspace_topology(X1,top_of_basis(subspace_topology(X2,X3,X4)),X5))))
    | topological_space(X2,X3)
    | limit_point(X6,X7,X8,subspace_topology(X1,top_of_basis(subspace_topology(X2,X3,X4)),X5))
    | ~ topological_space(X8,subspace_topology(X1,top_of_basis(subspace_topology(X2,X3,X4)),X5))
    | ~ subset_sets(X7,X8) ) ).

cnf(u8327,negated_conjecture,
    ( ~ element_of_collection(f13(f13(a,cx,X1,X0),X2,X3,f7(closure(X4,X5,X6),X7)),X8)
    | element_of_set(f11(X1,a),a)
    | ~ element_of_set(X0,a)
    | ~ topological_space(a,X8)
    | ~ element_of_set(X9,f13(f13(a,cx,X1,X0),X2,X3,f7(closure(X4,X5,X6),X7)))
    | ~ topological_space(cx,X1)
    | element_of_set(X9,interior(f13(a,cx,X1,X0),a,X8))
    | ~ subset_sets(X4,interior(f13(a,cx,X1,X0),X2,X3))
    | ~ closed(interior(f13(a,cx,X1,X0),X2,X3),X5,X6)
    | basis(closure(X4,X5,X6),X7)
    | ~ topological_space(closure(X4,X5,X6),X7) ) ).

cnf(u7449,axiom,
    ( ~ closed(f8(X0,X1),X4,X5)
    | basis(X0,X1)
    | element_of_set(f11(X2,boundary(X3,X4,X5)),union_of_members(X1))
    | element_of_collection(boundary(X3,X4,X5),top_of_basis(X2))
    | ~ topological_space(X0,X1)
    | ~ subset_sets(X3,f8(X0,X1)) ) ).

cnf(u1530,axiom,
    ( element_of_collection(f1(ct,f11(X0,sF0)),ct)
    | element_of_collection(sF0,top_of_basis(X0)) ) ).

cnf(u606,negated_conjecture,
    ( ~ subset_sets(f14(f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),cx,ct,X4),X1)
    | ~ subset_sets(f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),a)
    | element_of_set(X5,a)
    | ~ subset_sets(f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),cx)
    | ~ topological_space(interior(X0,X1,X2),X3)
    | element_of_set(X4,f14(f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),cx,ct,X5))
    | ~ element_of_set(X6,f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)))
    | hausdorff(interior(X0,X1,X2),X3)
    | element_of_set(X6,interior(f14(f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),cx,ct,X4),X1,X2)) ) ).

cnf(u3602,axiom,
    ( ~ closed(f13(X4,X5,X6,f20(interior(X4,X5,X6),X7)),X2,X3)
    | element_of_collection(boundary(X1,X2,X3),top_of_basis(X0))
    | ~ subset_sets(X1,f13(X4,X5,X6,f20(interior(X4,X5,X6),X7)))
    | ~ topological_space(interior(X4,X5,X6),X7)
    | hausdorff(interior(X4,X5,X6),X7)
    | element_of_set(f11(X0,boundary(X1,X2,X3)),interior(X4,X5,X6)) ) ).

cnf(u584,axiom,
    ( element_of_collection(f8(X0,f24(X0,X1)),f24(X0,X1))
    | compact_space(X0,X1)
    | basis(X0,f24(X0,X1))
    | ~ topological_space(X0,X1) ) ).

cnf(topology_generated_37,axiom,
    ( ~ element_of_collection(X0,top_of_basis(X1))
    | ~ element_of_set(X2,X0)
    | element_of_set(X2,f10(X1,X0,X2)) ) ).

cnf(u949,axiom,
    ( ~ closed(f1(ct,X4),X1,X2)
    | ~ subset_sets(X0,f1(ct,X4))
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | ~ element_of_set(X4,sF0)
    | element_of_set(f19(closure(X0,X1,X2),X3),union_of_members(ct)) ) ).

cnf(u7144,axiom,
    ( element_of_set(f11(subspace_topology(X9,X10,X8),f10(X1,closure(X2,X3,X4),X0)),f10(X1,closure(X2,X3,X4),X0))
    | open(f13(X5,X6,X7,f11(X1,closure(X2,X3,X4))),X6,X7)
    | ~ subset_sets(X2,interior(X5,X6,X7))
    | ~ element_of_set(X0,closure(X2,X3,X4))
    | subset_sets(X8,X9)
    | ~ closed(interior(X5,X6,X7),X3,X4) ) ).

cnf(u1733,axiom,
    ( ~ closed(interior(X1,X2,X3),cx,ct)
    | hausdorff(sF1,X0)
    | ~ topological_space(sF1,X0)
    | ~ subset_sets(a,interior(X1,X2,X3))
    | element_of_set(f11(X4,f13(X1,X2,X3,f20(sF1,X0))),interior(X1,X2,X3))
    | element_of_collection(f13(X1,X2,X3,f20(sF1,X0)),top_of_basis(X4)) ) ).

cnf(u1646,axiom,
    ( ~ closed(f22(X4,X5),X1,X2)
    | ~ subset_sets(X0,f22(X4,X5))
    | ~ topological_space(closure(X0,X1,X2),X3)
    | basis(closure(X0,X1,X2),X3)
    | ~ topological_space(X4,X5)
    | connected_space(X4,X5)
    | element_of_set(f7(closure(X0,X1,X2),X3),union_of_members(X5)) ) ).

cnf(u831,negated_conjecture,
    ( ~ subset_sets(sF0,f13(a,cx,ct,X0))
    | ~ element_of_collection(sF0,X1)
    | ~ element_of_set(X0,sF0)
    | ~ element_of_set(X2,f13(a,cx,ct,X0))
    | ~ topological_space(cx,top_of_basis(X1))
    | element_of_set(X2,interior(a,cx,top_of_basis(X1))) ) ).

cnf(u1361,axiom,
    ( element_of_collection(f6(X3,X4,f19(intersection_of_sets(X0,X1),X2),X0,X1),X4)
    | ~ element_of_collection(X0,X4)
    | ~ element_of_collection(X1,X4)
    | ~ basis(X3,X4)
    | ~ element_of_set(f19(intersection_of_sets(X0,X1),X2),X3)
    | ~ topological_space(intersection_of_sets(X0,X1),X2)
    | hausdorff(intersection_of_sets(X0,X1),X2) ) ).

cnf(u7179,axiom,
    ( ~ subset_sets(f10(X2,closure(X3,X4,X5),f11(X0,X1)),X1)
    | ~ closed(interior(X6,X7,X8),X4,X5)
    | ~ subset_sets(X3,interior(X6,X7,X8))
    | ~ element_of_set(f11(X0,X1),closure(X3,X4,X5))
    | element_of_collection(X1,top_of_basis(X0))
    | ~ element_of_collection(f10(X2,closure(X3,X4,X5),f11(X0,X1)),X0)
    | element_of_set(f11(X2,closure(X3,X4,X5)),f13(X6,X7,X8,f11(X2,closure(X3,X4,X5)))) ) ).

cnf(u11960,axiom,
    ( ~ element_of_set(X0,f13(X1,X2,X3,f20(interior(X1,X2,X3),X4)))
    | hausdorff(interior(X1,X2,X3),X4) ) ).

cnf(topological_space_10,axiom,
    ( ~ topological_space(X0,X1)
    | ~ element_of_collection(X2,X1)
    | ~ element_of_collection(X3,X1)
    | element_of_collection(intersection_of_sets(X2,X3),X1) ) ).

cnf(u908,axiom,
    ( ~ closed(interior(X0,X1,X2),cx,ct)
    | open(f13(X0,X1,X2,f11(X3,sF1)),X1,X2)
    | ~ subset_sets(a,interior(X0,X1,X2))
    | element_of_collection(sF1,top_of_basis(X3)) ) ).

cnf(u6823,negated_conjecture,
    ( element_of_set(X4,interior(f14(f13(a,cx,ct,X2),X0,X1,X3),cx,ct))
    | ~ subset_sets(f13(a,cx,ct,X2),sF1)
    | ~ subset_sets(f13(a,cx,ct,X2),X0)
    | ~ subset_sets(f14(f13(a,cx,ct,X2),X0,X1,X3),cx)
    | ~ element_of_set(X4,f13(a,cx,ct,X2))
    | ~ element_of_set(X2,sF0)
    | ~ closed(sF1,X0,X1) ) ).

cnf(u9465,negated_conjecture,
    ( element_of_set(f7(f13(a,cx,X1,X0),X2),union_of_members(X1))
    | ~ topological_space(cx,X1)
    | element_of_set(f11(X1,a),sF0)
    | ~ element_of_set(X0,a)
    | basis(f13(a,cx,X1,X0),X2)
    | ~ topological_space(f13(a,cx,X1,X0),X2) ) ).

cnf(u640,axiom,
    ( ~ closed(relative_complement_sets(X4,X5),X1,X2)
    | ~ subset_sets(X0,relative_complement_sets(X4,X5))
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | element_of_set(f20(closure(X0,X1,X2),X3),union_of_members(X6))
    | ~ closed(X4,X5,X6) ) ).

cnf(u3982,negated_conjecture,
    ( element_of_set(f11(X0,f14(a,cx,ct,X1)),f14(a,cx,ct,X1))
    | element_of_collection(f1(top_of_basis(X2),X3),top_of_basis(X2))
    | element_of_set(f11(X2,sF1),union_of_members(top_of_basis(X0)))
    | element_of_set(X1,sF1)
    | ~ element_of_set(X3,sF1) ) ).

cnf(u7266,negated_conjecture,
    ( element_of_set(f11(X3,f13(f14(f13(a,cx,ct,X0),cx,ct,X1),cx,ct,X2)),f13(f14(f13(a,cx,ct,X0),cx,ct,X1),cx,ct,X2))
    | ~ element_of_set(X2,f13(a,cx,ct,X0))
    | ~ element_of_set(X0,sF0)
    | ~ subset_sets(f13(a,cx,ct,X0),cx)
    | element_of_set(X1,a)
    | ~ subset_sets(f14(f13(a,cx,ct,X0),cx,ct,X1),cx)
    | element_of_set(X2,union_of_members(top_of_basis(X3))) ) ).

cnf(u7726,negated_conjecture,
    ( ~ closed(f13(a,cx,X0,X1),X3,X4)
    | ~ element_of_set(X1,a)
    | ~ topological_space(cx,X0)
    | element_of_set(f20(closure(X2,X3,X4),X5),interior(a,cx,X0))
    | hausdorff(closure(X2,X3,X4),X5)
    | ~ subset_sets(X2,f13(a,cx,X0,X1))
    | element_of_set(f11(X0,a),a)
    | ~ topological_space(closure(X2,X3,X4),X5) ) ).

cnf(u9448,negated_conjecture,
    ( element_of_collection(f1(subspace_topology(X0,X1,cx),X2),subspace_topology(X0,X1,cx))
    | ~ element_of_set(X2,a)
    | element_of_set(f11(subspace_topology(X0,X1,cx),a),sF0)
    | ~ connected_set(cx,X0,X1) ) ).

cnf(u9190,negated_conjecture,
    ( ~ topological_space(cx,X1)
    | element_of_set(f11(X1,a),sF0)
    | ~ element_of_set(X0,a)
    | element_of_set(X0,f1(X1,X0)) ) ).

cnf(u10009,axiom,
    ( element_of_set(f11(subspace_topology(X0,X1,X2),f13(X3,X4,X5,f19(interior(X3,X4,X5),X6))),f13(X3,X4,X5,f19(interior(X3,X4,X5),X6)))
    | topological_space(X0,X1)
    | hausdorff(interior(X3,X4,X5),X6)
    | ~ topological_space(interior(X3,X4,X5),X6) ) ).

cnf(u3598,axiom,
    ( ~ closed(f13(X4,X5,X6,f11(X7,interior(X4,X5,X6))),X2,X3)
    | element_of_collection(boundary(X1,X2,X3),top_of_basis(X0))
    | ~ subset_sets(X1,f13(X4,X5,X6,f11(X7,interior(X4,X5,X6))))
    | element_of_collection(interior(X4,X5,X6),top_of_basis(X7))
    | element_of_set(f11(X0,boundary(X1,X2,X3)),interior(X4,X5,X6)) ) ).

cnf(u8338,negated_conjecture,
    ( element_of_set(f11(X3,f10(X1,f13(a,cx,ct,X2),X0)),f10(X1,f13(a,cx,ct,X2),X0))
    | ~ element_of_set(X0,f13(a,cx,ct,X2))
    | ~ element_of_set(X2,sF0)
    | element_of_set(f11(X1,f13(a,cx,ct,X2)),sF0)
    | element_of_set(X0,union_of_members(top_of_basis(X3))) ) ).

cnf(u7006,axiom,
    ( element_of_set(X0,f10(X3,f13(X1,X2,top_of_basis(X3),f19(closure(X4,X5,X6),X7)),X0))
    | ~ element_of_set(X0,f13(X1,X2,top_of_basis(X3),f19(closure(X4,X5,X6),X7)))
    | ~ closed(interior(X1,X2,top_of_basis(X3)),X5,X6)
    | ~ topological_space(closure(X4,X5,X6),X7)
    | hausdorff(closure(X4,X5,X6),X7)
    | ~ subset_sets(X4,interior(X1,X2,top_of_basis(X3))) ) ).

cnf(u11068,negated_conjecture,
    ( element_of_set(f20(X0,X1),interior(a,sF0,X2))
    | hausdorff(X0,X1) ) ).

cnf(u3932,negated_conjecture,
    ( ~ closed(union_of_members(f24(X0,ct)),X2,X3)
    | ~ topological_space(X0,ct)
    | element_of_set(f19(closure(X1,X2,X3),X4),union_of_members(ct))
    | hausdorff(closure(X1,X2,X3),X4)
    | ~ subset_sets(X1,union_of_members(f24(X0,ct)))
    | compact_space(X0,ct)
    | ~ topological_space(closure(X1,X2,X3),X4) ) ).

cnf(u10794,negated_conjecture,
    ( element_of_set(f15(X0,X1,X2,X3,X4),interior(a,a,X5))
    | ~ neighborhood(X4,X0,X2,X3)
    | ~ limit_point(X0,X1,X2,X3) ) ).

cnf(u6841,negated_conjecture,
    ( subset_sets(X2,f14(X2,X3,X4,f11(X5,f14(closure(X2,X3,X4),X0,X1,X6))))
    | ~ subset_sets(closure(X2,X3,X4),sF1)
    | ~ subset_sets(closure(X2,X3,X4),X0)
    | ~ element_of_collection(closure(X2,X3,X4),X5)
    | element_of_collection(f14(closure(X2,X3,X4),X0,X1,X6),top_of_basis(X5))
    | ~ closed(sF1,X0,X1)
    | ~ subset_sets(X2,X3)
    | ~ topological_space(X3,X4) ) ).

cnf(u3308,axiom,
    ( ~ subset_sets(X0,relative_complement_sets(a,cx))
    | ~ topological_space(cx,X1)
    | ~ element_of_set(X2,X0)
    | ~ element_of_collection(X0,X1)
    | element_of_set(X2,interior(relative_complement_sets(a,cx),cx,X1)) ) ).

cnf(u1035,negated_conjecture,
    ( element_of_set(X5,interior(f14(f13(X0,X1,X2,f19(sF1,X3)),cx,ct,X4),X1,X2))
    | ~ topological_space(sF1,X3)
    | hausdorff(sF1,X3)
    | ~ subset_sets(f14(f13(X0,X1,X2,f19(sF1,X3)),cx,ct,X4),X1)
    | ~ element_of_set(X5,f13(X0,X1,X2,f19(sF1,X3)))
    | ~ subset_sets(a,interior(X0,X1,X2))
    | ~ closed(interior(X0,X1,X2),cx,ct)
    | ~ subset_sets(f13(X0,X1,X2,f19(sF1,X3)),a)
    | ~ subset_sets(f13(X0,X1,X2,f19(sF1,X3)),cx)
    | element_of_set(X4,a) ) ).

cnf(u1359,axiom,
    ( element_of_collection(f6(X4,X6,f11(X0,closure(X1,X2,X3)),X5,X7),X6)
    | ~ element_of_collection(X5,X6)
    | ~ element_of_collection(X7,X6)
    | ~ basis(X4,X6)
    | ~ element_of_set(f11(X0,closure(X1,X2,X3)),X4)
    | element_of_collection(closure(X1,X2,X3),top_of_basis(X0))
    | ~ closed(intersection_of_sets(X5,X7),X2,X3)
    | ~ subset_sets(X1,intersection_of_sets(X5,X7)) ) ).

cnf(u876,axiom,
    ( ~ closed(X1,cx,ct)
    | ~ element_of_set(X0,sF1)
    | ~ subset_sets(a,X1)
    | element_of_set(f11(X2,sF1),X1)
    | element_of_set(X0,union_of_members(top_of_basis(X2))) ) ).

cnf(u252,negated_conjecture,
    ( ~ element_of_set(X1,f1(ct,X0))
    | ~ element_of_set(X0,cx)
    | element_of_set(X1,union_of_members(ct)) ) ).

cnf(u9561,negated_conjecture,
    ( ~ subset_sets(f14(f13(a,cx,X0,f11(subspace_topology(X1,X2,X3),interior(a,cx,X0))),cx,ct,X4),cx)
    | element_of_set(f11(X0,a),a)
    | ~ topological_space(cx,X0)
    | ~ element_of_set(X5,f13(a,cx,X0,f11(subspace_topology(X1,X2,X3),interior(a,cx,X0))))
    | subset_sets(X3,X1)
    | element_of_set(X5,interior(f14(f13(a,cx,X0,f11(subspace_topology(X1,X2,X3),interior(a,cx,X0))),cx,ct,X4),cx,X0))
    | element_of_set(X4,f14(f13(a,cx,X0,f11(subspace_topology(X1,X2,X3),interior(a,cx,X0))),cx,ct,X6))
    | element_of_set(X6,a)
    | ~ subset_sets(f13(a,cx,X0,f11(subspace_topology(X1,X2,X3),interior(a,cx,X0))),cx) ) ).

cnf(u8173,negated_conjecture,
    ( element_of_set(X0,union_of_members(top_of_basis(ct)))
    | ~ element_of_set(X0,a) ) ).

cnf(u7475,axiom,
    ( element_of_set(f11(X0,relative_complement_sets(X1,X2)),union_of_members(X4))
    | element_of_set(X3,f10(X0,relative_complement_sets(X1,X2),X3))
    | ~ element_of_set(X3,relative_complement_sets(X1,X2))
    | ~ closed(X1,X2,X4) ) ).

cnf(u44449,axiom,
    ( ~ subset_collections(f24(X2,f24(X0,X1)),X1)
    | ~ finite(f24(X2,f24(X0,X1)))
    | compact_space(X2,f24(X0,X1))
    | compact_space(X0,X1) ) ).

cnf(u1688,negated_conjecture,
    ( element_of_set(f20(f13(a,cx,ct,f7(closure(X2,X0,X1),X3)),X4),sF0)
    | ~ subset_sets(X2,sF0)
    | basis(closure(X2,X0,X1),X3)
    | ~ topological_space(closure(X2,X0,X1),X3)
    | ~ closed(sF0,X0,X1)
    | ~ topological_space(f13(a,cx,ct,f7(closure(X2,X0,X1),X3)),X4)
    | hausdorff(f13(a,cx,ct,f7(closure(X2,X0,X1),X3)),X4) ) ).

cnf(u9056,negated_conjecture,
    ( element_of_set(f20(a,X0),union_of_members(top_of_basis(X1)))
    | hausdorff(a,X0)
    | element_of_set(f11(X1,sF0),sF0)
    | ~ topological_space(a,X0) ) ).

cnf(u9722,negated_conjecture,
    ( element_of_set(f11(X3,interior(a,cx,X1)),interior(a,cx,X1))
    | element_of_set(f11(X1,a),union_of_members(top_of_basis(X2)))
    | element_of_set(X0,union_of_members(top_of_basis(X3)))
    | ~ topological_space(cx,X1)
    | element_of_set(f11(X2,a),a)
    | ~ element_of_set(X0,a) ) ).

cnf(u8092,negated_conjecture,
    ( element_of_set(X2,f10(X0,f13(a,cx,ct,X1),X2))
    | element_of_set(f11(X0,f13(a,cx,ct,X1)),sF0)
    | ~ element_of_set(X1,a)
    | ~ element_of_set(X2,f13(a,cx,ct,X1)) ) ).

cnf(u4848,negated_conjecture,
    ( hausdorff(boundary(a,cx,ct),subspace_topology(X0,X1,boundary(a,cx,ct)))
    | ~ connected_set(boundary(a,cx,ct),X0,X1) ) ).

cnf(u1611,negated_conjecture,
    ( ~ closed(f1(top_of_basis(X4),X5),X1,X2)
    | ~ subset_sets(X0,f1(top_of_basis(X4),X5))
    | ~ topological_space(closure(X0,X1,X2),X3)
    | basis(closure(X0,X1,X2),X3)
    | ~ element_of_set(X5,sF1)
    | element_of_set(f11(X4,sF1),sF1)
    | element_of_set(f7(closure(X0,X1,X2),X3),union_of_members(top_of_basis(X4))) ) ).

cnf(u237,negated_conjecture,
    ( ~ topological_space(f14(X0,cx,ct,X1),X3)
    | ~ subset_sets(X0,cx)
    | element_of_set(X1,a)
    | ~ element_of_collection(X2,X3)
    | ~ subset_sets(X0,a)
    | ~ element_of_set(X4,X2)
    | ~ subset_sets(X2,X0)
    | element_of_set(X4,interior(X0,f14(X0,cx,ct,X1),X3)) ) ).

cnf(u1499,negated_conjecture,
    ( ~ element_of_collection(intersection_of_sets(X0,f12(X1,X2,X0,union_of_members(ct))),ct)
    | topological_space(intersection_of_sets(X0,f12(X1,X2,X0,union_of_members(ct))),ct)
    | ~ element_of_collection(union_of_members(ct),subspace_topology(X1,X2,X0)) ) ).

cnf(u9796,axiom,
    ( ~ element_of_set(X2,f1(X0,f11(X1,union_of_members(X0))))
    | element_of_collection(union_of_members(X0),top_of_basis(X1))
    | element_of_set(X2,union_of_members(X0)) ) ).

cnf(closed_set_22,axiom,
    ( open(relative_complement_sets(X0,X1),X1,X2)
    | ~ closed(X0,X1,X2) ) ).

cnf(u6924,axiom,
    ( ~ element_of_set(X4,f1(top_of_basis(subspace_topology(X0,X1,X2)),f20(union_of_members(top_of_basis(subspace_topology(X0,X1,X2))),X3)))
    | ~ topological_space(union_of_members(top_of_basis(subspace_topology(X0,X1,X2))),X3)
    | hausdorff(union_of_members(top_of_basis(subspace_topology(X0,X1,X2))),X3)
    | topological_space(X0,X1) ) ).

cnf(u9858,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X2,X3,X1),f1(ct,X0)),f1(ct,X0))
    | subset_sets(X1,X2)
    | ~ element_of_set(X0,empty_set) ) ).

cnf(u8057,negated_conjecture,
    ( ~ topological_space(f13(a,cx,ct,f11(X0,sF0)),X1)
    | ~ element_of_set(X2,sF0)
    | element_of_set(X2,f10(X0,sF0,X2))
    | element_of_set(f19(f13(a,cx,ct,f11(X0,sF0)),X1),sF0)
    | hausdorff(f13(a,cx,ct,f11(X0,sF0)),X1) ) ).

cnf(u9838,negated_conjecture,
    ( ~ element_of_set(X1,f1(ct,X0))
    | ~ element_of_set(X0,empty_set)
    | element_of_set(X1,union_of_members(ct)) ) ).

cnf(u9553,negated_conjecture,
    ( element_of_set(X10,interior(f14(f13(a,cx,X0,f11(subspace_topology(X1,X2,X3),interior(a,cx,X0))),X4,X5,f11(X6,f14(closure(f13(a,cx,X0,f11(subspace_topology(X1,X2,X3),interior(a,cx,X0))),X4,X5),X7,X8,X9))),cx,X0))
    | element_of_set(f11(X0,a),a)
    | ~ subset_sets(f14(f13(a,cx,X0,f11(subspace_topology(X1,X2,X3),interior(a,cx,X0))),X4,X5,f11(X6,f14(closure(f13(a,cx,X0,f11(subspace_topology(X1,X2,X3),interior(a,cx,X0))),X4,X5),X7,X8,X9))),cx)
    | ~ element_of_set(X10,f13(a,cx,X0,f11(subspace_topology(X1,X2,X3),interior(a,cx,X0))))
    | subset_sets(X3,X1)
    | ~ topological_space(cx,X0)
    | element_of_collection(f14(closure(f13(a,cx,X0,f11(subspace_topology(X1,X2,X3),interior(a,cx,X0))),X4,X5),X7,X8,X9),top_of_basis(X6))
    | ~ element_of_collection(closure(f13(a,cx,X0,f11(subspace_topology(X1,X2,X3),interior(a,cx,X0))),X4,X5),X6)
    | ~ subset_sets(f13(a,cx,X0,f11(subspace_topology(X1,X2,X3),interior(a,cx,X0))),X4)
    | ~ topological_space(X4,X5)
    | element_of_set(X9,closure(closure(f13(a,cx,X0,f11(subspace_topology(X1,X2,X3),interior(a,cx,X0))),X4,X5),X7,X8))
    | ~ subset_sets(closure(f13(a,cx,X0,f11(subspace_topology(X1,X2,X3),interior(a,cx,X0))),X4,X5),X7)
    | ~ topological_space(X7,X8) ) ).

cnf(u6654,negated_conjecture,
    ( hausdorff(closure(X0,X1,X2),subspace_topology(X3,X4,closure(X0,X1,X2)))
    | ~ closed(sF1,X1,X2)
    | ~ subset_sets(X0,sF1)
    | ~ connected_set(closure(X0,X1,X2),X3,X4) ) ).

cnf(u6934,axiom,
    ( ~ closed(f13(a,cx,ct,f20(sF0,X0)),X3,X4)
    | ~ topological_space(sF0,X0)
    | element_of_set(f11(X1,boundary(X2,X3,X4)),union_of_members(ct))
    | element_of_collection(boundary(X2,X3,X4),top_of_basis(X1))
    | hausdorff(sF0,X0)
    | ~ subset_sets(X2,f13(a,cx,ct,f20(sF0,X0))) ) ).

cnf(u10290,negated_conjecture,
    ( hausdorff(boundary(X2,X0,X1),X3)
    | ~ closed(sF0,X0,X1) ) ).

cnf(u10836,negated_conjecture,
    ( element_of_set(f20(X0,X1),interior(a,a,X2))
    | hausdorff(X0,X1) ) ).

cnf(u4054,negated_conjecture,
    ( ~ closed(f10(X0,a,X1),X4,X5)
    | ~ element_of_collection(a,top_of_basis(X0))
    | ~ element_of_set(X1,a)
    | element_of_set(f11(X2,closure(X3,X4,X5)),interior(a,cx,X0))
    | element_of_collection(closure(X3,X4,X5),top_of_basis(X2))
    | ~ topological_space(cx,X0)
    | ~ subset_sets(X3,f10(X0,a,X1)) ) ).

cnf(u1740,negated_conjecture,
    ( ~ element_of_set(X0,f1(top_of_basis(subspace_topology(X1,X2,X3)),X4))
    | subset_sets(X3,X1)
    | element_of_set(f11(subspace_topology(X1,X2,X3),sF1),sF1)
    | ~ element_of_set(X4,sF1) ) ).

cnf(topological_space_7,axiom,
    ( equal_sets(union_of_members(X1),X0)
    | ~ topological_space(X0,X1) ) ).

cnf(u7017,axiom,
    ( element_of_set(f11(X0,closure(X1,X2,X3)),f1(X4,f11(X0,closure(X1,X2,X3))))
    | element_of_set(X5,f10(X0,closure(X1,X2,X3),X5))
    | ~ closed(union_of_members(X4),X2,X3)
    | ~ subset_sets(X1,union_of_members(X4))
    | ~ element_of_set(X5,closure(X1,X2,X3)) ) ).

cnf(u850,axiom,
    ( element_of_set(f11(X3,boundary(X0,X1,X2)),X4)
    | element_of_collection(boundary(X0,X1,X2),top_of_basis(X3))
    | ~ closed(X4,X1,X2)
    | ~ subset_sets(X0,X4) ) ).

cnf(u10014,axiom,
    ( element_of_set(f11(subspace_topology(X0,X1,X2),f13(a,cx,ct,f20(sF0,X3))),f13(a,cx,ct,f20(sF0,X3)))
    | topological_space(X0,X1)
    | hausdorff(sF0,X3)
    | ~ topological_space(sF0,X3) ) ).

cnf(u7715,negated_conjecture,
    ( ~ closed(f13(a,cx,X0,X1),X4,X5)
    | ~ element_of_set(X1,a)
    | ~ topological_space(cx,X0)
    | element_of_set(f11(X2,closure(X3,X4,X5)),interior(a,cx,X0))
    | element_of_collection(closure(X3,X4,X5),top_of_basis(X2))
    | element_of_set(f11(X0,a),a)
    | ~ subset_sets(X3,f13(a,cx,X0,X1)) ) ).

cnf(u215,axiom,
    ( element_of_set(X5,interior(f14(relative_complement_sets(X0,X1),X2,X3,X4),X1,X6))
    | ~ element_of_set(X5,relative_complement_sets(X0,X1))
    | ~ closed(X0,X1,X6)
    | ~ subset_sets(f14(relative_complement_sets(X0,X1),X2,X3,X4),X1)
    | element_of_set(X4,closure(relative_complement_sets(X0,X1),X2,X3))
    | ~ subset_sets(relative_complement_sets(X0,X1),X2)
    | ~ topological_space(X2,X3) ) ).

cnf(u7397,axiom,
    ( subset_sets(X0,f14(X0,X1,X2,f11(X9,f14(closure(X0,X1,X2),X3,X4,f11(X8,f14(closure(closure(X0,X1,X2),X3,X4),X5,X6,X7))))))
    | ~ element_of_collection(closure(closure(X0,X1,X2),X3,X4),X8)
    | ~ subset_sets(closure(X0,X1,X2),X3)
    | ~ topological_space(X3,X4)
    | element_of_set(X7,closure(closure(closure(X0,X1,X2),X3,X4),X5,X6))
    | ~ subset_sets(closure(closure(X0,X1,X2),X3,X4),X5)
    | ~ topological_space(X5,X6)
    | ~ element_of_collection(closure(X0,X1,X2),X9)
    | element_of_collection(f14(closure(X0,X1,X2),X3,X4,f11(X8,f14(closure(closure(X0,X1,X2),X3,X4),X5,X6,X7))),top_of_basis(X9))
    | element_of_collection(f14(closure(closure(X0,X1,X2),X3,X4),X5,X6,X7),top_of_basis(X8))
    | ~ subset_sets(X0,X1)
    | ~ topological_space(X1,X2) ) ).

cnf(u1719,axiom,
    ( element_of_set(f7(f13(X4,X5,X6,f20(closure(X0,X1,X2),X3)),X7),interior(X4,X5,X6))
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ closed(interior(X4,X5,X6),X1,X2)
    | ~ subset_sets(X0,interior(X4,X5,X6))
    | ~ topological_space(closure(X0,X1,X2),X3)
    | basis(f13(X4,X5,X6,f20(closure(X0,X1,X2),X3)),X7)
    | ~ topological_space(f13(X4,X5,X6,f20(closure(X0,X1,X2),X3)),X7) ) ).

cnf(u1189,axiom,
    ( element_of_set(f11(X2,f22(X0,X1)),union_of_members(X1))
    | connected_space(X0,X1)
    | ~ topological_space(X0,X1)
    | element_of_collection(f22(X0,X1),top_of_basis(X2)) ) ).

cnf(u1479,axiom,
    ( element_of_set(f19(boundary(X0,X1,X2),X3),union_of_members(top_of_basis(X5)))
    | element_of_set(f11(X5,closure(X0,X1,X2)),X4)
    | ~ closed(X4,X1,X2)
    | ~ subset_sets(X0,X4)
    | ~ topological_space(boundary(X0,X1,X2),X3)
    | hausdorff(boundary(X0,X1,X2),X3) ) ).

cnf(u7537,axiom,
    ( ~ element_of_set(f11(X0,closure(relative_complement_sets(X1,X2),X2,X3)),closure(X1,X2,X3))
    | ~ element_of_set(X4,closure(relative_complement_sets(X1,X2),X2,X3))
    | element_of_set(X4,f10(X0,closure(relative_complement_sets(X1,X2),X2,X3),X4))
    | element_of_set(f11(X0,closure(relative_complement_sets(X1,X2),X2,X3)),boundary(X1,X2,X3)) ) ).

cnf(u9928,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X0,X1,X2),f14(X3,cx,ct,X4)),f14(X3,cx,ct,X4))
    | closed(f14(X3,cx,ct,X5),cx,ct)
    | topological_space(X0,X1)
    | ~ subset_sets(X3,a)
    | element_of_set(X4,a)
    | ~ subset_sets(X3,cx) ) ).

cnf(u3582,axiom,
    ( ~ closed(relative_complement_sets(X4,X5),X2,X3)
    | element_of_collection(boundary(X1,X2,X3),top_of_basis(X0))
    | ~ subset_sets(X1,relative_complement_sets(X4,X5))
    | element_of_set(f11(X0,boundary(X1,X2,X3)),union_of_members(X6))
    | ~ closed(X4,X5,X6) ) ).

cnf(u1567,axiom,
    ( ~ closed(f16(X3,X2,X0,X1),X5,X6)
    | ~ subset_sets(X2,X0)
    | limit_point(X3,X2,X0,X1)
    | element_of_set(f19(closure(X4,X5,X6),X7),union_of_members(X1))
    | hausdorff(closure(X4,X5,X6),X7)
    | ~ subset_sets(X4,f16(X3,X2,X0,X1))
    | ~ topological_space(X0,X1)
    | ~ topological_space(closure(X4,X5,X6),X7) ) ).

cnf(u248,axiom,
    ( eq_p(f15(X4,X1,X5,X6,f16(X0,X1,X2,X3)),X0)
    | ~ limit_point(X4,X1,X5,X6)
    | ~ topological_space(X2,X3)
    | ~ subset_sets(X1,X2)
    | limit_point(X0,X1,X2,X3)
    | ~ neighborhood(f16(X0,X1,X2,X3),X4,X5,X6) ) ).

cnf(u1725,axiom,
    ( element_of_set(f20(f13(X4,X5,X6,f20(closure(X0,X1,X2),X3)),X7),interior(X4,X5,X6))
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ closed(interior(X4,X5,X6),X1,X2)
    | ~ subset_sets(X0,interior(X4,X5,X6))
    | ~ topological_space(closure(X0,X1,X2),X3)
    | ~ topological_space(f13(X4,X5,X6,f20(closure(X0,X1,X2),X3)),X7)
    | hausdorff(f13(X4,X5,X6,f20(closure(X0,X1,X2),X3)),X7) ) ).

cnf(u7139,axiom,
    ( ~ element_of_set(X0,f13(X1,X2,X3,f11(X4,sF1)))
    | ~ closed(interior(X1,X2,X3),cx,ct)
    | ~ subset_sets(a,interior(X1,X2,X3))
    | ~ element_of_set(X5,sF1)
    | element_of_set(X5,f10(X4,sF1,X5))
    | element_of_set(X0,interior(X1,X2,X3)) ) ).

cnf(u583,negated_conjecture,
    ( ~ element_of_set(f11(X1,f14(f14(a,cx,ct,X0),cx,ct,X2)),sF1)
    | element_of_collection(f14(f14(a,cx,ct,X0),cx,ct,X2),top_of_basis(X1))
    | ~ element_of_collection(f14(a,cx,ct,X0),X1)
    | element_of_set(X0,sF1)
    | ~ subset_sets(f14(a,cx,ct,X0),a)
    | ~ subset_sets(f14(a,cx,ct,X0),cx)
    | element_of_set(X2,a) ) ).

cnf(u9699,axiom,
    ( ~ subset_sets(X2,f13(a,cx,ct,f11(X0,sF0)))
    | ~ element_of_set(X1,sF0)
    | ~ element_of_collection(X2,X3)
    | ~ topological_space(a,X3)
    | ~ element_of_set(X4,X2)
    | element_of_set(X1,f10(X0,sF0,X1))
    | element_of_set(X4,interior(f13(a,cx,ct,f11(X0,sF0)),a,X3)) ) ).

cnf(u6825,negated_conjecture,
    ( element_of_set(X4,interior(f14(f13(a,cx,ct,f11(X2,sF0)),X0,X1,X3),cx,ct))
    | ~ subset_sets(f13(a,cx,ct,f11(X2,sF0)),sF1)
    | ~ subset_sets(f13(a,cx,ct,f11(X2,sF0)),X0)
    | ~ subset_sets(f14(f13(a,cx,ct,f11(X2,sF0)),X0,X1,X3),cx)
    | ~ element_of_set(X4,f13(a,cx,ct,f11(X2,sF0)))
    | element_of_collection(sF0,top_of_basis(X2))
    | ~ closed(sF1,X0,X1) ) ).

cnf(u7107,axiom,
    ( ~ element_of_collection(f13(f13(a,cx,ct,X0),X1,X2,f11(X3,closure(X4,X5,X6))),X8)
    | ~ closed(interior(f13(a,cx,ct,X0),X1,X2),X5,X6)
    | ~ subset_sets(X4,interior(f13(a,cx,ct,X0),X1,X2))
    | ~ element_of_set(X7,closure(X4,X5,X6))
    | ~ topological_space(a,X8)
    | ~ element_of_set(X9,f13(f13(a,cx,ct,X0),X1,X2,f11(X3,closure(X4,X5,X6))))
    | element_of_set(X7,f10(X3,closure(X4,X5,X6),X7))
    | element_of_set(X9,interior(f13(a,cx,ct,X0),a,X8))
    | ~ element_of_set(X0,sF0) ) ).

cnf(u1028,axiom,
    ( ~ subset_sets(f13(X0,X1,X2,f19(sF1,X3)),X4)
    | ~ closed(interior(X0,X1,X2),cx,ct)
    | ~ topological_space(sF1,X3)
    | hausdorff(sF1,X3)
    | ~ subset_sets(X4,X1)
    | ~ element_of_set(X5,f13(X0,X1,X2,f19(sF1,X3)))
    | ~ subset_sets(a,interior(X0,X1,X2))
    | element_of_set(X5,interior(X4,X1,X2)) ) ).

cnf(u402,axiom,
    ( ~ element_of_set(X2,f9(X0,X1))
    | ~ topological_space(X0,X1)
    | basis(X0,X1)
    | element_of_set(X2,union_of_members(X1)) ) ).

cnf(u3969,axiom,
    ( element_of_set(f11(X0,intersection_of_sets(f8(X1,X2),f9(X1,X2))),intersection_of_sets(f8(X1,X2),f9(X1,X2)))
    | element_of_set(f7(X1,X2),union_of_members(top_of_basis(X0)))
    | ~ equal_sets(union_of_members(X2),X1)
    | basis(X1,X2) ) ).

cnf(u1369,negated_conjecture,
    ( ~ subset_sets(sF0,f13(a,cx,ct,f7(sF0,X0)))
    | basis(sF0,X0)
    | ~ element_of_collection(sF0,X1)
    | ~ topological_space(sF0,X0)
    | ~ element_of_set(X2,f13(a,cx,ct,f7(sF0,X0)))
    | element_of_set(X2,union_of_members(top_of_basis(X1))) ) ).

cnf(u3888,negated_conjecture,
    ( ~ subset_sets(a,f14(X0,cx,ct,f11(X4,f14(closure(X0,cx,ct),X1,X2,X3))))
    | ~ element_of_collection(closure(X0,cx,ct),X4)
    | ~ subset_sets(X0,cx)
    | element_of_set(X3,closure(closure(X0,cx,ct),X1,X2))
    | ~ subset_sets(closure(X0,cx,ct),X1)
    | ~ topological_space(X1,X2)
    | element_of_collection(f14(closure(X0,cx,ct),X1,X2,X3),top_of_basis(X4))
    | ~ element_of_set(X5,sF1)
    | element_of_set(X5,f14(X0,cx,ct,f11(X4,f14(closure(X0,cx,ct),X1,X2,X3)))) ) ).

cnf(u3671,axiom,
    ( ~ closed(f13(X4,X5,X6,f11(X3,boundary(X0,X1,X2))),X8,X9)
    | ~ subset_sets(X0,interior(X4,X5,X6))
    | ~ closed(interior(X4,X5,X6),X1,X2)
    | element_of_set(f19(closure(X7,X8,X9),X10),interior(X4,X5,X6))
    | hausdorff(closure(X7,X8,X9),X10)
    | ~ subset_sets(X7,f13(X4,X5,X6,f11(X3,boundary(X0,X1,X2))))
    | element_of_collection(boundary(X0,X1,X2),top_of_basis(X3))
    | ~ topological_space(closure(X7,X8,X9),X10) ) ).

cnf(u233,axiom,
    ( subset_sets(relative_complement_sets(X3,X0),f14(relative_complement_sets(X3,X0),X0,X1,X2))
    | element_of_set(X2,boundary(X3,X0,X1))
    | ~ element_of_set(X2,closure(X3,X0,X1))
    | ~ subset_sets(relative_complement_sets(X3,X0),X0) ) ).

cnf(u7460,axiom,
    ( element_of_set(f11(X0,X1),union_of_members(top_of_basis(X3)))
    | element_of_set(X2,f10(X0,X1,X2))
    | element_of_set(f11(X3,X1),X1)
    | ~ element_of_set(X2,X1) ) ).

cnf(open_set_18,axiom,
    ( ~ open(X0,X1,X2)
    | topological_space(X1,X2) ) ).

cnf(u7223,axiom,
    ( ~ closed(f13(boundary(X0,X1,X2),X3,X4,f19(closure(X5,X6,X7),X8)),X1,X2)
    | ~ subset_sets(X0,f13(boundary(X0,X1,X2),X3,X4,f19(closure(X5,X6,X7),X8)))
    | ~ element_of_collection(f13(boundary(X0,X1,X2),X3,X4,f19(closure(X5,X6,X7),X8)),X9)
    | element_of_collection(boundary(X0,X1,X2),top_of_basis(X9))
    | ~ subset_sets(X5,interior(boundary(X0,X1,X2),X3,X4))
    | ~ closed(interior(boundary(X0,X1,X2),X3,X4),X6,X7)
    | ~ topological_space(closure(X5,X6,X7),X8)
    | hausdorff(closure(X5,X6,X7),X8) ) ).

cnf(u3599,axiom,
    ( ~ closed(f13(X4,X5,X6,f19(interior(X4,X5,X6),X7)),X2,X3)
    | element_of_collection(boundary(X1,X2,X3),top_of_basis(X0))
    | ~ subset_sets(X1,f13(X4,X5,X6,f19(interior(X4,X5,X6),X7)))
    | ~ topological_space(interior(X4,X5,X6),X7)
    | hausdorff(interior(X4,X5,X6),X7)
    | element_of_set(f11(X0,boundary(X1,X2,X3)),interior(X4,X5,X6)) ) ).

cnf(u9477,negated_conjecture,
    ( ~ closed(f13(a,cx,X1,X0),X4,X5)
    | ~ topological_space(cx,X1)
    | element_of_set(f11(X1,a),sF0)
    | element_of_set(f11(X2,closure(X3,X4,X5)),union_of_members(X1))
    | element_of_set(X6,f10(X2,closure(X3,X4,X5),X6))
    | ~ element_of_set(X6,closure(X3,X4,X5))
    | ~ element_of_set(X0,a)
    | ~ subset_sets(X3,f13(a,cx,X1,X0)) ) ).

cnf(u6805,negated_conjecture,
    ( ~ closed(closure(X0,X1,X2),X4,X5)
    | ~ closed(sF1,X1,X2)
    | ~ topological_space(closure(X3,X4,X5),X6)
    | ~ subset_sets(X3,closure(X0,X1,X2))
    | ~ subset_sets(X0,sF1)
    | basis(closure(X3,X4,X5),X6) ) ).

cnf(u899,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,f11(X3,closure(X0,X1,X2))),X6,X7)
    | ~ closed(sF0,X1,X2)
    | element_of_collection(closure(X0,X1,X2),top_of_basis(X3))
    | element_of_set(f11(X4,closure(X5,X6,X7)),sF0)
    | element_of_collection(closure(X5,X6,X7),top_of_basis(X4))
    | ~ subset_sets(X0,sF0)
    | ~ subset_sets(X5,f13(a,cx,ct,f11(X3,closure(X0,X1,X2)))) ) ).

cnf(u1430,negated_conjecture,
    ( ~ subset_sets(f13(f14(f13(a,cx,ct,X0),cx,ct,X1),cx,ct,X2),X3)
    | ~ element_of_set(X2,f13(a,cx,ct,X0))
    | ~ element_of_set(X0,sF0)
    | ~ subset_sets(f13(a,cx,ct,X0),cx)
    | element_of_set(X1,a)
    | ~ subset_sets(X3,cx)
    | ~ element_of_set(X4,f13(f14(f13(a,cx,ct,X0),cx,ct,X1),cx,ct,X2))
    | ~ subset_sets(f14(f13(a,cx,ct,X0),cx,ct,X1),cx)
    | element_of_set(X4,interior(X3,cx,ct)) ) ).

cnf(u308,axiom,
    ( element_of_set(f19(f13(a,cx,ct,X0),X1),union_of_members(ct))
    | ~ element_of_set(X0,sF0)
    | ~ topological_space(f13(a,cx,ct,X0),X1)
    | hausdorff(f13(a,cx,ct,X0),X1) ) ).

cnf(u9691,negated_conjecture,
    ( ~ subset_sets(sF0,boundary(X0,cx,ct))
    | ~ element_of_collection(sF0,X1)
    | ~ subset_sets(X0,a)
    | ~ element_of_set(X2,boundary(X0,cx,ct))
    | element_of_set(X2,union_of_members(top_of_basis(X1))) ) ).

cnf(u1604,negated_conjecture,
    ( subset_sets(f10(X3,f14(X1,cx,ct,X2),X0),f14(f10(X3,f14(X1,cx,ct,X2),X0),cx,ct,X4))
    | ~ element_of_collection(f14(X1,cx,ct,X2),top_of_basis(X3))
    | ~ subset_sets(X1,cx)
    | element_of_set(X2,a)
    | ~ subset_sets(f10(X3,f14(X1,cx,ct,X2),X0),cx)
    | ~ subset_sets(X1,a)
    | ~ element_of_set(X0,f14(X1,cx,ct,X2))
    | element_of_set(X4,f14(X1,cx,ct,X2)) ) ).

cnf(u8214,negated_conjecture,
    ( element_of_set(f7(f13(a,cx,X1,X0),X2),union_of_members(X1))
    | ~ topological_space(cx,X1)
    | element_of_set(f11(X1,a),a)
    | ~ element_of_set(X0,a)
    | basis(f13(a,cx,X1,X0),X2)
    | ~ topological_space(f13(a,cx,X1,X0),X2) ) ).

cnf(u6975,axiom,
    ( element_of_set(X0,f10(X5,intersection_of_sets(f16(X1,X2,X3,X4),X2),X0))
    | eq_p(f11(X5,intersection_of_sets(f16(X1,X2,X3,X4),X2)),X1)
    | ~ element_of_set(X0,intersection_of_sets(f16(X1,X2,X3,X4),X2))
    | ~ subset_sets(X2,X3)
    | limit_point(X1,X2,X3,X4)
    | ~ topological_space(X3,X4) ) ).

cnf(u3028,axiom,
    ( ~ element_of_set(X0,f13(X1,X2,X3,f19(sF1,X4)))
    | ~ topological_space(sF1,X4)
    | hausdorff(sF1,X4)
    | ~ closed(interior(X1,X2,X3),cx,ct)
    | ~ subset_sets(a,interior(X1,X2,X3))
    | element_of_set(X0,interior(X1,X2,X3)) ) ).

cnf(union_of_members_3,axiom,
    ( ~ element_of_collection(X2,X1)
    | ~ element_of_set(X0,X2)
    | element_of_set(X0,union_of_members(X1)) ) ).

cnf(u7358,negated_conjecture,
    ( ~ closed(boundary(X2,X0,X1),X5,X6)
    | ~ subset_sets(X2,sF0)
    | element_of_collection(boundary(X4,X5,X6),top_of_basis(X3))
    | ~ closed(sF0,X0,X1)
    | ~ subset_sets(X4,boundary(X2,X0,X1)) ) ).

cnf(u9095,negated_conjecture,
    ( ~ subset_sets(X2,f13(a,cx,X0,X1))
    | ~ element_of_set(X1,a)
    | element_of_set(f11(X0,a),sF0)
    | ~ element_of_collection(X2,X3)
    | ~ topological_space(a,X3)
    | ~ element_of_set(X4,X2)
    | ~ topological_space(cx,X0)
    | element_of_set(X4,interior(f13(a,cx,X0,X1),a,X3)) ) ).

cnf(u1120,axiom,
    ( ~ element_of_set(X2,f2(X1,X0))
    | element_of_set(X0,intersection_of_members(X1))
    | element_of_set(X2,union_of_members(X1)) ) ).

cnf(u4155,axiom,
    ( element_of_set(f11(subspace_topology(X1,X2,X0),f13(X3,X4,X5,f19(closure(X6,X7,X8),X9))),f13(X3,X4,X5,f19(closure(X6,X7,X8),X9)))
    | subset_sets(X0,X1)
    | ~ subset_sets(X6,interior(X3,X4,X5))
    | ~ closed(interior(X3,X4,X5),X7,X8)
    | ~ topological_space(closure(X6,X7,X8),X9)
    | hausdorff(closure(X6,X7,X8),X9) ) ).

cnf(u6993,axiom,
    ( ~ element_of_set(X0,f1(top_of_basis(X1),X2))
    | element_of_set(X0,f10(X1,f1(top_of_basis(X1),X2),X0))
    | limit_point(X2,X3,X4,top_of_basis(X1))
    | ~ topological_space(X4,top_of_basis(X1))
    | ~ subset_sets(X3,X4) ) ).

cnf(u1262,negated_conjecture,
    ( ~ subset_sets(a,f14(X0,cx,ct,X1))
    | ~ subset_sets(X0,a)
    | element_of_set(X2,a)
    | ~ subset_sets(X0,cx)
    | hausdorff(sF1,X3)
    | element_of_set(X1,f14(X0,cx,ct,X2))
    | element_of_set(f20(sF1,X3),f14(X0,cx,ct,X1))
    | ~ topological_space(sF1,X3) ) ).

cnf(u7337,axiom,
    ( element_of_set(f11(subspace_topology(X9,X10,X8),f10(X1,closure(X2,X3,X4),X0)),f10(X1,closure(X2,X3,X4),X0))
    | element_of_collection(f13(X5,X6,X7,f11(X1,closure(X2,X3,X4))),X7)
    | ~ element_of_set(X0,closure(X2,X3,X4))
    | ~ closed(interior(X5,X6,X7),X3,X4)
    | subset_sets(X8,X9)
    | ~ subset_sets(X2,interior(X5,X6,X7)) ) ).

cnf(u1471,axiom,
    ( element_of_set(f7(intersection_of_sets(X0,X1),X2),f6(X3,X4,f7(intersection_of_sets(X0,X1),X2),X0,X1))
    | ~ element_of_collection(X0,X4)
    | ~ element_of_collection(X1,X4)
    | ~ basis(X3,X4)
    | ~ element_of_set(f7(intersection_of_sets(X0,X1),X2),X3)
    | basis(intersection_of_sets(X0,X1),X2)
    | ~ topological_space(intersection_of_sets(X0,X1),X2) ) ).

cnf(u8199,axiom,
    ( element_of_set(f11(X5,f13(X1,X2,X3,f11(X4,interior(X1,X2,X3)))),interior(X1,X2,X3))
    | element_of_set(X0,f10(X4,interior(X1,X2,X3),X0))
    | ~ element_of_set(X0,interior(X1,X2,X3))
    | element_of_collection(f13(X1,X2,X3,f11(X4,interior(X1,X2,X3))),top_of_basis(X5)) ) ).

cnf(u1402,negated_conjecture,
    ( element_of_set(X2,interior(f14(f13(a,cx,ct,f7(sF0,X0)),cx,ct,X1),cx,ct))
    | ~ subset_sets(f14(f13(a,cx,ct,f7(sF0,X0)),cx,ct,X1),cx)
    | ~ element_of_set(X2,f13(a,cx,ct,f7(sF0,X0)))
    | ~ topological_space(sF0,X0)
    | basis(sF0,X0)
    | ~ subset_sets(f13(a,cx,ct,f7(sF0,X0)),cx)
    | element_of_set(X1,a) ) ).

cnf(u1902,axiom,
    ( ~ subset_sets(X1,f14(relative_complement_sets(a,cx),cx,ct,X0))
    | element_of_set(X0,boundary(a,cx,ct))
    | ~ subset_sets(X1,cx)
    | ~ element_of_set(X0,sF1)
    | closed(f14(X1,cx,ct,X2),cx,ct)
    | element_of_set(X2,f14(relative_complement_sets(a,cx),cx,ct,X0)) ) ).

cnf(u9042,negated_conjecture,
    ( element_of_set(f19(a,X0),sF0)
    | ~ topological_space(a,X0)
    | hausdorff(a,X0) ) ).

cnf(u575,axiom,
    ( ~ subset_sets(f1(ct,f11(X1,X0)),X0)
    | ~ element_of_collection(f1(ct,f11(X1,X0)),X1)
    | element_of_collection(X0,top_of_basis(X1))
    | ~ element_of_set(f11(X1,X0),sF0) ) ).

cnf(u7494,negated_conjecture,
    ( element_of_set(X2,f10(X0,f13(a,cx,ct,f19(sF0,X1)),X2))
    | element_of_set(f11(X0,f13(a,cx,ct,f19(sF0,X1))),sF0)
    | ~ element_of_set(X2,f13(a,cx,ct,f19(sF0,X1)))
    | ~ topological_space(sF0,X1)
    | hausdorff(sF0,X1) ) ).

cnf(u1605,negated_conjecture,
    ( ~ element_of_collection(f10(X1,a,X0),X2)
    | ~ element_of_collection(a,top_of_basis(X1))
    | ~ topological_space(cx,X2)
    | ~ element_of_set(X3,f10(X1,a,X0))
    | ~ element_of_set(X0,a)
    | element_of_set(X3,interior(a,cx,X2)) ) ).

cnf(u6616,negated_conjecture,
    ( hausdorff(closure(X2,X0,X1),subspace_topology(X3,X4,closure(X2,X0,X1)))
    | ~ subset_sets(X2,sF0)
    | ~ closed(sF0,X0,X1)
    | ~ compact_set(closure(X2,X0,X1),X3,X4) ) ).

cnf(u4019,axiom,
    ( element_of_set(f20(X1,X2),union_of_members(top_of_basis(X0)))
    | element_of_set(f11(X0,X1),X1)
    | ~ topological_space(X1,X2)
    | hausdorff(X1,X2) ) ).

cnf(u266,axiom,
    ( 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)
    | ~ topological_space(interior(X0,X1,X2),X3) ) ).

cnf(u1696,axiom,
    ( ~ subset_sets(f13(X1,X2,X3,f7(closure(X0,X4,X5),X6)),X7)
    | ~ closed(interior(X1,X2,X3),X4,X5)
    | basis(closure(X0,X4,X5),X6)
    | ~ topological_space(closure(X0,X4,X5),X6)
    | ~ subset_sets(X7,X2)
    | ~ element_of_set(X8,f13(X1,X2,X3,f7(closure(X0,X4,X5),X6)))
    | ~ subset_sets(X0,interior(X1,X2,X3))
    | element_of_set(X8,interior(X7,X2,X3)) ) ).

cnf(u8203,axiom,
    ( ~ topological_space(f13(X1,X2,X3,f11(X4,interior(X1,X2,X3))),X5)
    | element_of_set(X0,f10(X4,interior(X1,X2,X3),X0))
    | element_of_set(f19(f13(X1,X2,X3,f11(X4,interior(X1,X2,X3))),X5),interior(X1,X2,X3))
    | ~ element_of_set(X0,interior(X1,X2,X3))
    | hausdorff(f13(X1,X2,X3,f11(X4,interior(X1,X2,X3))),X5) ) ).

cnf(u3713,axiom,
    ( ~ element_of_set(X0,f13(X1,X2,top_of_basis(subspace_topology(X3,X4,X5)),f20(closure(X6,X7,X8),X9)))
    | topological_space(X3,X4)
    | ~ closed(interior(X1,X2,top_of_basis(subspace_topology(X3,X4,X5))),X7,X8)
    | ~ topological_space(closure(X6,X7,X8),X9)
    | hausdorff(closure(X6,X7,X8),X9)
    | ~ subset_sets(X6,interior(X1,X2,top_of_basis(subspace_topology(X3,X4,X5)))) ) ).

cnf(u1766,axiom,
    ( ~ element_of_set(X0,f16(X1,X2,X3,top_of_basis(subspace_topology(X4,X5,X6))))
    | subset_sets(X6,X4)
    | limit_point(X1,X2,X3,top_of_basis(subspace_topology(X4,X5,X6)))
    | ~ topological_space(X3,top_of_basis(subspace_topology(X4,X5,X6)))
    | ~ subset_sets(X2,X3) ) ).

cnf(u9168,negated_conjecture,
    ( ~ closed(f13(a,cx,X1,X0),X4,X5)
    | element_of_set(f11(X1,a),sF0)
    | ~ topological_space(cx,X1)
    | element_of_set(f11(X2,closure(X3,X4,X5)),interior(a,cx,X1))
    | element_of_set(X6,f10(X2,closure(X3,X4,X5),X6))
    | ~ element_of_set(X6,closure(X3,X4,X5))
    | ~ element_of_set(X0,a)
    | ~ subset_sets(X3,f13(a,cx,X1,X0)) ) ).

cnf(u245,axiom,
    ( ~ element_of_set(X0,f13(a,cx,ct,X1))
    | element_of_set(X0,union_of_members(ct))
    | ~ element_of_set(X1,sF0) ) ).

cnf(u9771,negated_conjecture,
    ( ~ subset_sets(X3,f13(a,cx,X0,f19(f13(a,cx,X0,X1),X2)))
    | element_of_set(f11(X0,a),a)
    | ~ topological_space(f13(a,cx,X0,X1),X2)
    | hausdorff(f13(a,cx,X0,X1),X2)
    | ~ element_of_set(X1,a)
    | ~ element_of_collection(X3,X4)
    | ~ topological_space(a,X4)
    | ~ element_of_set(X5,X3)
    | ~ topological_space(cx,X0)
    | element_of_set(X5,interior(f13(a,cx,X0,f19(f13(a,cx,X0,X1),X2)),a,X4)) ) ).

cnf(u7304,axiom,
    ( ~ closed(f13(X4,X5,X6,f7(closure(X0,X1,X2),X3)),X9,X10)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | ~ closed(interior(X4,X5,X6),X1,X2)
    | ~ subset_sets(X0,interior(X4,X5,X6))
    | element_of_set(f11(X7,boundary(X8,X9,X10)),interior(X4,X5,X6))
    | element_of_collection(boundary(X8,X9,X10),top_of_basis(X7))
    | basis(closure(X0,X1,X2),X3)
    | ~ subset_sets(X8,f13(X4,X5,X6,f7(closure(X0,X1,X2),X3))) ) ).

cnf(u7450,axiom,
    ( element_of_set(f19(f8(X0,X1),X2),union_of_members(X1))
    | basis(X0,X1)
    | ~ topological_space(X0,X1)
    | ~ topological_space(f8(X0,X1),X2)
    | hausdorff(f8(X0,X1),X2) ) ).

cnf(u1226,axiom,
    ( basis(closure(X0,X1,X2),subspace_topology(X3,X4,closure(X0,X1,X2)))
    | ~ connected_set(closure(X0,X1,X2),X3,X4)
    | subset_sets(X0,X1) ) ).

cnf(u1324,negated_conjecture,
    ( ~ closed(f1(top_of_basis(X1),X0),X4,X5)
    | element_of_set(f11(X1,sF1),sF1)
    | element_of_set(f11(X2,closure(X3,X4,X5)),union_of_members(top_of_basis(X1)))
    | element_of_collection(closure(X3,X4,X5),top_of_basis(X2))
    | ~ element_of_set(X0,sF1)
    | ~ subset_sets(X3,f1(top_of_basis(X1),X0)) ) ).

cnf(u3841,axiom,
    ( hausdorff(interior(X0,X1,X2),subspace_topology(X3,X4,interior(X0,X1,X2)))
    | ~ compact_set(interior(X0,X1,X2),X3,X4)
    | topological_space(X1,X2) ) ).

cnf(u1151,axiom,
    ( element_of_set(X5,closure(X2,X3,subspace_topology(X1,X4,X0)))
    | subset_sets(X0,X1)
    | ~ subset_sets(X2,X3)
    | ~ topological_space(X3,subspace_topology(X1,X4,X0)) ) ).

cnf(u7688,negated_conjecture,
    ( element_of_set(X5,interior(f14(f13(a,cx,X1,X0),X2,X3,X4),cx,X1))
    | element_of_set(f11(X1,a),a)
    | ~ subset_sets(f14(f13(a,cx,X1,X0),X2,X3,X4),cx)
    | ~ element_of_set(X5,f13(a,cx,X1,X0))
    | ~ topological_space(cx,X1)
    | ~ element_of_set(X0,a)
    | ~ closed(sF1,X2,X3)
    | ~ subset_sets(f13(a,cx,X1,X0),sF1)
    | ~ subset_sets(f13(a,cx,X1,X0),X2) ) ).

cnf(u7046,axiom,
    ( ~ closed(f13(a,cx,ct,f19(sF0,X4)),X2,X3)
    | ~ element_of_set(X5,closure(X1,X2,X3))
    | element_of_set(X5,f10(X0,closure(X1,X2,X3),X5))
    | ~ subset_sets(X1,f13(a,cx,ct,f19(sF0,X4)))
    | hausdorff(sF0,X4)
    | ~ topological_space(sF0,X4)
    | element_of_set(f11(X0,closure(X1,X2,X3)),union_of_members(ct)) ) ).

cnf(u8385,axiom,
    ( ~ subset_sets(f14(f13(a,cx,ct,f11(X1,sF0)),X2,X3,f11(X4,f14(closure(f13(a,cx,ct,f11(X1,sF0)),X2,X3),X5,X6,X7))),cx)
    | ~ element_of_set(X0,sF0)
    | ~ element_of_set(X8,f13(a,cx,ct,f11(X1,sF0)))
    | element_of_set(X0,f10(X1,sF0,X0))
    | element_of_set(X8,interior(f14(f13(a,cx,ct,f11(X1,sF0)),X2,X3,f11(X4,f14(closure(f13(a,cx,ct,f11(X1,sF0)),X2,X3),X5,X6,X7))),cx,ct))
    | element_of_collection(f14(closure(f13(a,cx,ct,f11(X1,sF0)),X2,X3),X5,X6,X7),top_of_basis(X4))
    | ~ element_of_collection(closure(f13(a,cx,ct,f11(X1,sF0)),X2,X3),X4)
    | ~ subset_sets(f13(a,cx,ct,f11(X1,sF0)),X2)
    | ~ topological_space(X2,X3)
    | element_of_set(X7,closure(closure(f13(a,cx,ct,f11(X1,sF0)),X2,X3),X5,X6))
    | ~ subset_sets(closure(f13(a,cx,ct,f11(X1,sF0)),X2,X3),X5)
    | ~ topological_space(X5,X6) ) ).

cnf(u218,axiom,
    ( element_of_set(X3,f16(X3,X2,X0,X1))
    | ~ subset_sets(X2,X0)
    | limit_point(X3,X2,X0,X1)
    | ~ topological_space(X0,X1) ) ).

cnf(u8195,axiom,
    ( ~ topological_space(f13(X1,X2,X3,f11(X4,interior(X1,X2,X3))),X5)
    | element_of_set(X0,f10(X4,interior(X1,X2,X3),X0))
    | element_of_set(f7(f13(X1,X2,X3,f11(X4,interior(X1,X2,X3))),X5),interior(X1,X2,X3))
    | basis(f13(X1,X2,X3,f11(X4,interior(X1,X2,X3))),X5)
    | ~ element_of_set(X0,interior(X1,X2,X3)) ) ).

cnf(topological_space_15,axiom,
    ( ~ element_of_collection(union_of_members(f5(X0,X1)),X1)
    | ~ equal_sets(union_of_members(X1),X0)
    | ~ element_of_collection(empty_set,X1)
    | ~ element_of_collection(X0,X1)
    | element_of_collection(f4(X0,X1),X1)
    | topological_space(X0,X1) ) ).

cnf(u8095,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,X4),X2,X3)
    | ~ element_of_set(X4,a)
    | element_of_collection(closure(X1,X2,X3),top_of_basis(X0))
    | element_of_set(f11(X0,closure(X1,X2,X3)),sF0)
    | ~ subset_sets(X1,f13(a,cx,ct,X4)) ) ).

cnf(u1055,negated_conjecture,
    ( ~ element_of_collection(f13(a,X0,X1,f7(interior(a,X0,X1),X2)),X3)
    | basis(interior(a,X0,X1),X2)
    | ~ topological_space(cx,X3)
    | ~ element_of_set(X4,f13(a,X0,X1,f7(interior(a,X0,X1),X2)))
    | ~ topological_space(interior(a,X0,X1),X2)
    | element_of_set(X4,interior(a,cx,X3)) ) ).

cnf(u7529,axiom,
    ( element_of_set(f11(X0,boundary(X1,X2,X3)),closure(X1,X2,X3))
    | element_of_set(X4,f10(X0,boundary(X1,X2,X3),X4))
    | ~ element_of_set(X4,boundary(X1,X2,X3)) ) ).

cnf(u508,axiom,
    ( element_of_set(f7(f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),X4),interior(X0,X1,X2))
    | hausdorff(interior(X0,X1,X2),X3)
    | ~ topological_space(interior(X0,X1,X2),X3)
    | basis(f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),X4)
    | ~ topological_space(f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),X4) ) ).

cnf(u8023,negated_conjecture,
    ( ~ subset_sets(f13(f14(X0,cx,ct,X1),X2,X3,f11(X4,interior(f14(X0,cx,ct,X1),X2,X3))),cx)
    | ~ element_of_set(X5,interior(f14(X0,cx,ct,X1),X2,X3))
    | ~ subset_sets(X0,cx)
    | element_of_set(X1,a)
    | element_of_set(X5,f10(X4,interior(f14(X0,cx,ct,X1),X2,X3),X5))
    | ~ subset_sets(X0,a)
    | subset_sets(f13(f14(X0,cx,ct,X1),X2,X3,f11(X4,interior(f14(X0,cx,ct,X1),X2,X3))),f14(f13(f14(X0,cx,ct,X1),X2,X3,f11(X4,interior(f14(X0,cx,ct,X1),X2,X3))),cx,ct,X6))
    | element_of_set(X6,f14(X0,cx,ct,X1)) ) ).

cnf(u9460,negated_conjecture,
    ( ~ subset_sets(sF0,closure(X1,X2,X3))
    | ~ element_of_set(X4,closure(X1,X2,X3))
    | ~ closed(a,X2,X3)
    | ~ subset_sets(X1,a)
    | ~ element_of_collection(sF0,X0)
    | element_of_set(X4,f10(X0,closure(X1,X2,X3),X4)) ) ).

cnf(u9053,negated_conjecture,
    ( ~ subset_sets(interior(a,cx,X0),X2)
    | ~ topological_space(cx,X0)
    | ~ element_of_set(f11(X1,X2),a)
    | element_of_collection(X2,top_of_basis(X1))
    | ~ element_of_collection(interior(a,cx,X0),X1)
    | element_of_set(f11(X0,a),sF0) ) ).

cnf(u7389,axiom,
    ( element_of_set(X10,interior(f14(f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),X4,X5,f11(X9,f14(closure(f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),X4,X5),X6,X7,X8))),X1,X2))
    | ~ element_of_collection(closure(f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),X4,X5),X9)
    | ~ subset_sets(f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),X4)
    | ~ topological_space(X4,X5)
    | element_of_set(X8,closure(closure(f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),X4,X5),X6,X7))
    | ~ subset_sets(closure(f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),X4,X5),X6)
    | ~ topological_space(X6,X7)
    | ~ topological_space(interior(X0,X1,X2),X3)
    | ~ subset_sets(f14(f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),X4,X5,f11(X9,f14(closure(f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),X4,X5),X6,X7,X8))),X1)
    | ~ element_of_set(X10,f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)))
    | hausdorff(interior(X0,X1,X2),X3)
    | element_of_collection(f14(closure(f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),X4,X5),X6,X7,X8),top_of_basis(X9)) ) ).

cnf(u9805,axiom,
    ( open(f18(X1,X3,X0,X2),X1,X3)
    | ~ element_of_set(X2,X1)
    | eq_p(X0,X2)
    | ~ hausdorff(X1,X3)
    | ~ element_of_set(X0,X1) ) ).

cnf(u3617,axiom,
    ( ~ closed(f21(X4,X5),X2,X3)
    | element_of_collection(boundary(X1,X2,X3),top_of_basis(X0))
    | ~ subset_sets(X1,f21(X4,X5))
    | ~ topological_space(X4,X5)
    | connected_space(X4,X5)
    | element_of_set(f11(X0,boundary(X1,X2,X3)),union_of_members(X5)) ) ).

cnf(u1487,axiom,
    ( ~ element_of_set(X3,f10(X2,X1,X0))
    | ~ element_of_collection(X1,top_of_basis(X2))
    | ~ element_of_set(X0,X1)
    | element_of_set(X3,union_of_members(X2)) ) ).

cnf(u3334,axiom,
    ( ~ subset_sets(X0,union_of_members(ct))
    | ~ topological_space(sF0,X1)
    | ~ element_of_set(X2,X0)
    | ~ element_of_collection(X0,X1)
    | element_of_set(X2,interior(union_of_members(ct),sF0,X1)) ) ).

cnf(u7233,axiom,
    ( element_of_collection(f12(X2,X3,X4,f12(X1,subspace_topology(X2,X3,X4),X0,X0)),X3)
    | ~ connected_set(X0,X1,subspace_topology(X2,X3,X4)) ) ).

cnf(u1420,axiom,
    ( element_of_set(X7,interior(f14(f13(X0,X1,X2,f7(interior(X0,X1,X2),X3)),X4,X5,X6),X1,X2))
    | ~ subset_sets(f14(f13(X0,X1,X2,f7(interior(X0,X1,X2),X3)),X4,X5,X6),X1)
    | ~ element_of_set(X7,f13(X0,X1,X2,f7(interior(X0,X1,X2),X3)))
    | ~ topological_space(interior(X0,X1,X2),X3)
    | basis(interior(X0,X1,X2),X3)
    | element_of_set(X6,closure(f13(X0,X1,X2,f7(interior(X0,X1,X2),X3)),X4,X5))
    | ~ subset_sets(f13(X0,X1,X2,f7(interior(X0,X1,X2),X3)),X4)
    | ~ topological_space(X4,X5) ) ).

cnf(u6394,negated_conjecture,
    ( ~ element_of_collection(X0,subspace_topology(X1,X2,boundary(a,cx,ct)))
    | ~ element_of_set(X3,X0)
    | ~ subset_sets(X0,a)
    | element_of_set(X3,interior(a,boundary(a,cx,ct),subspace_topology(X1,X2,boundary(a,cx,ct))))
    | ~ compact_set(boundary(a,cx,ct),X1,X2) ) ).

cnf(u3019,axiom,
    ( element_of_set(f7(f13(X4,X5,X6,f19(closure(X0,X1,X2),X3)),X7),interior(X4,X5,X6))
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ closed(interior(X4,X5,X6),X1,X2)
    | ~ subset_sets(X0,interior(X4,X5,X6))
    | ~ topological_space(closure(X0,X1,X2),X3)
    | basis(f13(X4,X5,X6,f19(closure(X0,X1,X2),X3)),X7)
    | ~ topological_space(f13(X4,X5,X6,f19(closure(X0,X1,X2),X3)),X7) ) ).

cnf(u6974,negated_conjecture,
    ( element_of_set(f11(X1,sF1),f14(a,cx,ct,X3))
    | element_of_set(X0,f10(X1,f1(top_of_basis(X1),X2),X0))
    | ~ element_of_set(X0,f1(top_of_basis(X1),X2))
    | element_of_set(X3,sF1)
    | ~ element_of_set(X2,sF1) ) ).

cnf(u331,axiom,
    ( ~ topological_space(boundary(X2,X0,X1),X3)
    | topological_space(X0,X1)
    | hausdorff(boundary(X2,X0,X1),X3) ) ).

cnf(u1249,negated_conjecture,
    ( closed(f14(f13(f14(X0,cx,ct,X1),X2,X3,f20(interior(f14(X0,cx,ct,X1),X2,X3),X4)),cx,ct,X5),cx,ct)
    | element_of_set(X1,a)
    | ~ subset_sets(f13(f14(X0,cx,ct,X1),X2,X3,f20(interior(f14(X0,cx,ct,X1),X2,X3),X4)),cx)
    | ~ subset_sets(X0,a)
    | ~ subset_sets(X0,cx)
    | element_of_set(X5,f14(X0,cx,ct,X1))
    | hausdorff(interior(f14(X0,cx,ct,X1),X2,X3),X4)
    | ~ topological_space(interior(f14(X0,cx,ct,X1),X2,X3),X4) ) ).

cnf(u1560,axiom,
    ( ~ closed(interior(X0,X1,X2),cx,ct)
    | ~ subset_sets(a,interior(X0,X1,X2))
    | element_of_collection(sF1,top_of_basis(X3))
    | element_of_collection(f13(X0,X1,X2,f11(X3,sF1)),X2) ) ).

cnf(u278,axiom,
    ( ~ element_of_set(X2,f21(X0,X1))
    | ~ topological_space(X0,X1)
    | connected_space(X0,X1)
    | element_of_set(X2,union_of_members(X1)) ) ).

cnf(u7034,axiom,
    ( open(f13(X4,X5,X6,f11(X0,closure(X1,X2,X3))),X5,X6)
    | element_of_set(X7,f10(X0,closure(X1,X2,X3),X7))
    | ~ closed(interior(X4,X5,X6),X2,X3)
    | ~ subset_sets(X1,interior(X4,X5,X6))
    | ~ element_of_set(X7,closure(X1,X2,X3)) ) ).

cnf(u11719,axiom,
    limit_point(X0,X1,X2,X3) ).

cnf(u7552,negated_conjecture,
    ( element_of_set(f11(X0,a),union_of_members(top_of_basis(X2)))
    | element_of_set(X1,interior(a,cx,X0))
    | ~ element_of_set(X1,a)
    | element_of_set(f11(X2,a),a)
    | ~ topological_space(cx,X0) ) ).

cnf(compact_set_109,axiom,
    ( ~ compact_space(X0,subspace_topology(X1,X2,X0))
    | ~ topological_space(X1,X2)
    | ~ subset_sets(X0,X1)
    | compact_set(X0,X1,X2) ) ).

cnf(u10494,axiom,
    ( ~ element_of_set(X8,f13(X0,X1,X2,f7(closure(X5,X3,X4),X6)))
    | basis(closure(X5,X3,X4),X6)
    | ~ closed(interior(X0,X1,X2),X3,X4)
    | element_of_set(X8,interior(X7,X1,X2)) ) ).

cnf(u1371,axiom,
    ( element_of_set(X5,closure(X2,X3,subspace_topology(X0,X1,X4)))
    | topological_space(X0,X1)
    | ~ subset_sets(X2,X3)
    | ~ topological_space(X3,subspace_topology(X0,X1,X4)) ) ).

cnf(u6962,axiom,
    ( element_of_collection(f12(X2,X3,X4,f13(X0,X1,subspace_topology(X2,X3,X4),f11(X5,interior(X0,X1,subspace_topology(X2,X3,X4))))),X3)
    | element_of_collection(interior(X0,X1,subspace_topology(X2,X3,X4)),top_of_basis(X5)) ) ).

cnf(u4010,axiom,
    ( element_of_set(f11(X0,f13(X1,X2,X3,f19(interior(X1,X2,X3),X4))),f13(X1,X2,X3,f19(interior(X1,X2,X3),X4)))
    | element_of_set(f19(interior(X1,X2,X3),X4),union_of_members(top_of_basis(X0)))
    | hausdorff(interior(X1,X2,X3),X4)
    | ~ topological_space(interior(X1,X2,X3),X4) ) ).

cnf(u11092,negated_conjecture,
    ( element_of_set(X0,interior(a,sF0,X1))
    | closed(f14(X2,X3,X4,X0),X3,X4) ) ).

cnf(u1318,axiom,
    ( ~ element_of_set(f7(X2,X3),f6(X1,X4,X0,f8(X2,X3),f9(X2,X3)))
    | ~ element_of_collection(f8(X2,X3),X4)
    | ~ element_of_collection(f9(X2,X3),X4)
    | ~ element_of_set(X0,intersection_of_sets(f8(X2,X3),f9(X2,X3)))
    | ~ basis(X1,X4)
    | ~ equal_sets(union_of_members(X3),X2)
    | ~ element_of_set(X0,X1)
    | ~ element_of_collection(f6(X1,X4,X0,f8(X2,X3),f9(X2,X3)),X3)
    | basis(X2,X3) ) ).

cnf(u9859,negated_conjecture,
    ( element_of_set(f11(X1,f1(ct,X0)),f1(ct,X0))
    | ~ element_of_set(X0,empty_set)
    | element_of_set(X0,union_of_members(top_of_basis(X1))) ) ).

cnf(u9888,axiom,
    ( element_of_set(f11(subspace_topology(X0,X1,X2),union_of_members(X3)),union_of_members(X3))
    | limit_point(X4,X5,X6,X3)
    | topological_space(X0,X1)
    | ~ subset_sets(X5,X6)
    | ~ topological_space(X6,X3) ) ).

cnf(u1438,axiom,
    ( element_of_set(X7,interior(f14(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4,X5,X6),X1,X2))
    | ~ element_of_set(X7,f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))))
    | element_of_collection(interior(X0,X1,X2),top_of_basis(X3))
    | ~ subset_sets(f14(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4,X5,X6),X1)
    | element_of_set(X6,closure(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4,X5))
    | ~ subset_sets(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4)
    | ~ topological_space(X4,X5) ) ).

cnf(u775,axiom,
    ( ~ closed(f1(ct,X4),X2,X3)
    | element_of_collection(closure(X1,X2,X3),top_of_basis(X0))
    | ~ subset_sets(X1,f1(ct,X4))
    | ~ element_of_set(X4,sF0)
    | element_of_set(f11(X0,closure(X1,X2,X3)),union_of_members(ct)) ) ).

cnf(u35644,axiom,
    ( ~ compact_space(intersection_of_sets(X2,f12(X3,X4,X2,union_of_members(f24(X0,X1)))),X1)
    | compact_space(X0,X1)
    | ~ subset_collections(f24(X0,X1),X1) ) ).

cnf(u9475,negated_conjecture,
    ( element_of_set(f11(X2,f13(a,cx,X1,X0)),union_of_members(X1))
    | element_of_set(X3,f10(X2,f13(a,cx,X1,X0),X3))
    | element_of_set(f11(X1,a),sF0)
    | ~ topological_space(cx,X1)
    | ~ element_of_set(X0,a)
    | ~ element_of_set(X3,f13(a,cx,X1,X0)) ) ).

cnf(u1288,negated_conjecture,
    ( element_of_set(f11(X1,sF1),f14(a,cx,ct,f11(X2,X3)))
    | element_of_set(X0,union_of_members(top_of_basis(X1)))
    | ~ element_of_set(X0,sF1)
    | ~ element_of_collection(sF1,X2)
    | element_of_collection(X3,top_of_basis(X2))
    | ~ subset_sets(sF1,X3) ) ).

cnf(u7284,axiom,
    ( ~ closed(f13(a,cx,ct,f7(sF0,X0)),X3,X4)
    | basis(sF0,X0)
    | element_of_set(f11(X1,closure(X2,X3,X4)),union_of_members(ct))
    | element_of_collection(closure(X2,X3,X4),top_of_basis(X1))
    | ~ topological_space(sF0,X0)
    | ~ subset_sets(X2,f13(a,cx,ct,f7(sF0,X0))) ) ).

cnf(u10837,negated_conjecture,
    ( element_of_set(f19(boundary(X0,X1,X2),X3),interior(a,a,X4))
    | hausdorff(boundary(X0,X1,X2),X3) ) ).

cnf(u7098,axiom,
    ( ~ closed(f13(closure(X1,X2,X3),X4,X5,f20(interior(closure(X1,X2,X3),X4,X5),X6)),X2,X3)
    | ~ element_of_set(X0,closure(X1,X2,X3))
    | ~ subset_sets(X1,f13(closure(X1,X2,X3),X4,X5,f20(interior(closure(X1,X2,X3),X4,X5),X6)))
    | ~ element_of_collection(f13(closure(X1,X2,X3),X4,X5,f20(interior(closure(X1,X2,X3),X4,X5),X6)),X7)
    | element_of_set(X0,f10(X7,closure(X1,X2,X3),X0))
    | hausdorff(interior(closure(X1,X2,X3),X4,X5),X6)
    | ~ topological_space(interior(closure(X1,X2,X3),X4,X5),X6) ) ).

cnf(u1612,axiom,
    ( ~ topological_space(closure(X0,X1,X2),X3)
    | ~ subset_sets(X0,intersection_of_members(X4))
    | ~ closed(intersection_of_members(X4),X1,X2)
    | basis(closure(X0,X1,X2),X3)
    | ~ element_of_collection(X5,X4)
    | element_of_set(f7(closure(X0,X1,X2),X3),X5) ) ).

cnf(u7212,axiom,
    ( element_of_collection(f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f19(union_of_members(subspace_topology(X0,X1,X2)),X3))),X1)
    | ~ topological_space(union_of_members(subspace_topology(X0,X1,X2)),X3)
    | hausdorff(union_of_members(subspace_topology(X0,X1,X2)),X3) ) ).

cnf(u7353,negated_conjecture,
    ( ~ topological_space(boundary(X2,X0,X1),X3)
    | ~ subset_sets(X2,sF0)
    | basis(boundary(X2,X0,X1),X3)
    | ~ closed(sF0,X0,X1) ) ).

cnf(u1561,negated_conjecture,
    ( ~ element_of_set(X5,f1(ct,f15(X1,X4,X2,X3,X0)))
    | ~ neighborhood(X0,X1,X2,X3)
    | ~ limit_point(X1,X4,X2,X3)
    | ~ element_of_collection(X4,ct)
    | ~ element_of_collection(X0,ct)
    | element_of_set(X5,union_of_members(ct)) ) ).

cnf(u7217,axiom,
    ( ~ closed(f13(boundary(X0,X1,X2),X3,X4,f7(closure(X5,X6,X7),X8)),X1,X2)
    | ~ subset_sets(X0,f13(boundary(X0,X1,X2),X3,X4,f7(closure(X5,X6,X7),X8)))
    | ~ element_of_collection(f13(boundary(X0,X1,X2),X3,X4,f7(closure(X5,X6,X7),X8)),X9)
    | element_of_collection(boundary(X0,X1,X2),top_of_basis(X9))
    | ~ subset_sets(X5,interior(boundary(X0,X1,X2),X3,X4))
    | ~ closed(interior(boundary(X0,X1,X2),X3,X4),X6,X7)
    | basis(closure(X5,X6,X7),X8)
    | ~ topological_space(closure(X5,X6,X7),X8) ) ).

cnf(u3863,axiom,
    ( ~ limit_point(X0,X1,X6,subspace_topology(X4,X5,f16(X0,X1,X2,X3)))
    | limit_point(X0,X1,X2,X3)
    | ~ compact_set(f16(X0,X1,X2,X3),X4,X5)
    | ~ topological_space(X2,X3)
    | ~ subset_sets(X1,X2) ) ).

cnf(u9898,axiom,
    ( element_of_set(f11(subspace_topology(X0,X1,X2),f10(X3,X4,X5)),f10(X3,X4,X5))
    | topological_space(X0,X1)
    | element_of_set(f11(X3,X4),X4)
    | ~ element_of_set(X5,X4) ) ).

cnf(u1223,axiom,
    ( hausdorff(interior(X0,X1,X2),subspace_topology(X3,X4,interior(X0,X1,X2)))
    | ~ connected_set(interior(X0,X1,X2),X3,X4)
    | topological_space(X1,X2) ) ).

cnf(u8196,axiom,
    ( ~ closed(f13(X1,X2,X3,f11(X4,interior(X1,X2,X3))),X6,X7)
    | element_of_set(X0,f10(X4,interior(X1,X2,X3),X0))
    | element_of_set(f7(closure(X5,X6,X7),X8),interior(X1,X2,X3))
    | ~ topological_space(closure(X5,X6,X7),X8)
    | ~ subset_sets(X5,f13(X1,X2,X3,f11(X4,interior(X1,X2,X3))))
    | ~ element_of_set(X0,interior(X1,X2,X3))
    | basis(closure(X5,X6,X7),X8) ) ).

cnf(u7473,axiom,
    ( element_of_collection(f6(X4,X5,f11(X0,intersection_of_sets(X1,X2)),X1,X2),X5)
    | element_of_set(X3,f10(X0,intersection_of_sets(X1,X2),X3))
    | ~ element_of_set(f11(X0,intersection_of_sets(X1,X2)),X4)
    | ~ element_of_collection(X1,X5)
    | ~ element_of_collection(X2,X5)
    | ~ basis(X4,X5)
    | ~ element_of_set(X3,intersection_of_sets(X1,X2)) ) ).

cnf(u9620,negated_conjecture,
    ( ~ closed(f13(a,cx,X0,f11(subspace_topology(X2,X7,X1),interior(a,cx,X0))),X5,X6)
    | ~ topological_space(cx,X0)
    | subset_sets(X1,X2)
    | element_of_set(f11(X3,boundary(X4,X5,X6)),interior(a,cx,X0))
    | element_of_collection(boundary(X4,X5,X6),top_of_basis(X3))
    | element_of_set(f11(X0,a),sF0)
    | ~ subset_sets(X4,f13(a,cx,X0,f11(subspace_topology(X2,X7,X1),interior(a,cx,X0)))) ) ).

cnf(u11877,negated_conjecture,
    ( element_of_set(f15(X1,X4,X2,X3,X0),f13(a,sF0,X5,f15(X1,X4,X2,X3,X0)))
    | ~ neighborhood(X0,X1,X2,X3) ) ).

cnf(u16617,axiom,
    ( ~ connected_space(X0,X2)
    | connected_space(X0,X1) ) ).

cnf(u9764,negated_conjecture,
    ( element_of_set(f19(f13(a,cx,X1,X0),X2),union_of_members(top_of_basis(X3)))
    | element_of_set(f11(X3,interior(a,cx,X1)),interior(a,cx,X1))
    | element_of_set(f11(X1,a),a)
    | ~ topological_space(f13(a,cx,X1,X0),X2)
    | hausdorff(f13(a,cx,X1,X0),X2)
    | ~ topological_space(cx,X1)
    | ~ element_of_set(X0,a) ) ).

cnf(u8172,negated_conjecture,
    ( element_of_set(X0,f10(ct,a,X0))
    | ~ element_of_set(X0,a) ) ).

cnf(u9443,negated_conjecture,
    ( element_of_set(f11(X0,a),union_of_members(top_of_basis(X2)))
    | element_of_set(X1,f10(X0,a,X1))
    | element_of_set(f11(X2,sF0),sF0)
    | ~ element_of_set(X1,a) ) ).

cnf(u11728,negated_conjecture,
    basis(intersection_of_sets(X0,f12(X1,X2,X0,union_of_members(X3))),X3) ).

cnf(u9889,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X0,X1,X2),f1(ct,X3)),f1(ct,X3))
    | topological_space(X0,X1)
    | ~ element_of_set(X3,empty_set) ) ).

cnf(u1485,axiom,
    ( element_of_set(f19(boundary(a,cx,ct),X0),sF1)
    | hausdorff(boundary(a,cx,ct),X0)
    | ~ topological_space(boundary(a,cx,ct),X0) ) ).

cnf(u8384,axiom,
    ( ~ subset_sets(f14(f13(a,cx,ct,f11(X1,sF0)),X2,X3,X4),cx)
    | ~ element_of_set(X0,sF0)
    | ~ element_of_set(X5,f13(a,cx,ct,f11(X1,sF0)))
    | element_of_set(X0,f10(X1,sF0,X0))
    | element_of_set(X5,interior(f14(f13(a,cx,ct,f11(X1,sF0)),X2,X3,X4),cx,ct))
    | element_of_set(X4,closure(f13(a,cx,ct,f11(X1,sF0)),X2,X3))
    | ~ subset_sets(f13(a,cx,ct,f11(X1,sF0)),X2)
    | ~ topological_space(X2,X3) ) ).

cnf(u1682,negated_conjecture,
    ( element_of_set(f7(f13(a,cx,ct,f7(closure(X2,X0,X1),X3)),X4),sF0)
    | ~ subset_sets(X2,sF0)
    | basis(closure(X2,X0,X1),X3)
    | ~ topological_space(closure(X2,X0,X1),X3)
    | ~ closed(sF0,X0,X1)
    | basis(f13(a,cx,ct,f7(closure(X2,X0,X1),X3)),X4)
    | ~ topological_space(f13(a,cx,ct,f7(closure(X2,X0,X1),X3)),X4) ) ).

cnf(u7464,negated_conjecture,
    ( element_of_set(f11(X0,union_of_members(f24(X1,ct))),union_of_members(ct))
    | element_of_set(X2,f10(X0,union_of_members(f24(X1,ct)),X2))
    | compact_space(X1,ct)
    | ~ topological_space(X1,ct)
    | ~ element_of_set(X2,union_of_members(f24(X1,ct))) ) ).

cnf(u9571,negated_conjecture,
    ( element_of_set(f11(X3,f13(a,cx,X0,f11(subspace_topology(X2,X4,X1),interior(a,cx,X0)))),interior(a,cx,X0))
    | ~ topological_space(cx,X0)
    | subset_sets(X1,X2)
    | element_of_set(f11(X0,a),a)
    | element_of_collection(f13(a,cx,X0,f11(subspace_topology(X2,X4,X1),interior(a,cx,X0))),top_of_basis(X3)) ) ).

cnf(u1261,negated_conjecture,
    ( ~ subset_sets(a,f14(X0,cx,ct,X1))
    | ~ subset_sets(X0,a)
    | element_of_set(X2,a)
    | ~ subset_sets(X0,cx)
    | ~ subset_sets(f14(X0,cx,ct,X1),sF1)
    | element_of_set(X1,f14(X0,cx,ct,X2))
    | ~ element_of_collection(f14(X0,cx,ct,X1),X3)
    | element_of_collection(sF1,top_of_basis(X3)) ) ).

cnf(u343,axiom,
    ( element_of_set(f7(f13(a,cx,ct,X0),X1),union_of_members(ct))
    | ~ topological_space(f13(a,cx,ct,X0),X1)
    | basis(f13(a,cx,ct,X0),X1)
    | ~ element_of_set(X0,sF0) ) ).

cnf(u10483,axiom,
    ( ~ element_of_set(X5,f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)))
    | hausdorff(interior(X0,X1,X2),X3)
    | element_of_set(X5,interior(X4,X1,X2)) ) ).

cnf(u1613,axiom,
    ( ~ closed(intersection_of_sets(f16(X4,X5,X6,X7),X5),X1,X2)
    | ~ subset_sets(X0,intersection_of_sets(f16(X4,X5,X6,X7),X5))
    | ~ topological_space(closure(X0,X1,X2),X3)
    | basis(closure(X0,X1,X2),X3)
    | ~ topological_space(X6,X7)
    | ~ subset_sets(X5,X6)
    | limit_point(X4,X5,X6,X7)
    | eq_p(f7(closure(X0,X1,X2),X3),X4) ) ).

cnf(u7716,negated_conjecture,
    ( ~ closed(f13(a,cx,X0,X1),X4,X5)
    | ~ element_of_set(X1,a)
    | ~ topological_space(cx,X0)
    | element_of_set(f11(X2,boundary(X3,X4,X5)),interior(a,cx,X0))
    | element_of_collection(boundary(X3,X4,X5),top_of_basis(X2))
    | element_of_set(f11(X0,a),a)
    | ~ subset_sets(X3,f13(a,cx,X0,X1)) ) ).

cnf(u274,axiom,
    ( element_of_set(f20(closure(X0,X1,X2),X3),X4)
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ subset_sets(X0,X4)
    | ~ closed(X4,X1,X2)
    | ~ topological_space(closure(X0,X1,X2),X3) ) ).

cnf(u7087,axiom,
    ( ~ closed(X1,cx,ct)
    | element_of_set(X2,f10(X0,sF1,X2))
    | ~ element_of_set(X2,sF1)
    | element_of_set(f11(X0,sF1),X1)
    | ~ subset_sets(a,X1) ) ).

cnf(u780,axiom,
    ( ~ closed(relative_complement_sets(X4,X5),X2,X3)
    | element_of_collection(closure(X1,X2,X3),top_of_basis(X0))
    | ~ subset_sets(X1,relative_complement_sets(X4,X5))
    | element_of_set(f11(X0,closure(X1,X2,X3)),union_of_members(X6))
    | ~ closed(X4,X5,X6) ) ).

cnf(u674,axiom,
    ( ~ element_of_collection(f13(f13(a,cx,ct,X1),X2,X3,f20(closure(X0,X4,X5),X6)),X7)
    | ~ closed(interior(f13(a,cx,ct,X1),X2,X3),X4,X5)
    | ~ topological_space(closure(X0,X4,X5),X6)
    | hausdorff(closure(X0,X4,X5),X6)
    | ~ topological_space(a,X7)
    | ~ element_of_set(X8,f13(f13(a,cx,ct,X1),X2,X3,f20(closure(X0,X4,X5),X6)))
    | ~ subset_sets(X0,interior(f13(a,cx,ct,X1),X2,X3))
    | element_of_set(X8,interior(f13(a,cx,ct,X1),a,X7))
    | ~ element_of_set(X1,sF0) ) ).

cnf(compact_space_105,axiom,
    ( ~ subset_collections(X2,f24(X0,X1))
    | ~ topological_space(X0,X1)
    | ~ finite(X2)
    | compact_space(X0,X1)
    | ~ open_covering(X2,X0,X1) ) ).

cnf(u643,axiom,
    ( ~ closed(interior(X4,X5,X6),X1,X2)
    | ~ subset_sets(X0,interior(X4,X5,X6))
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | topological_space(X5,X6) ) ).

cnf(u564,axiom,
    ( element_of_set(f19(sF0,X0),f13(a,cx,ct,f19(sF0,X0)))
    | hausdorff(sF0,X0)
    | ~ topological_space(sF0,X0) ) ).

cnf(u7246,axiom,
    ( element_of_set(f11(X1,f13(a,cx,ct,f7(sF0,X0))),f13(a,cx,ct,f7(sF0,X0)))
    | basis(sF0,X0)
    | ~ topological_space(sF0,X0)
    | element_of_set(f7(sF0,X0),union_of_members(top_of_basis(X1))) ) ).

cnf(u8389,negated_conjecture,
    ( ~ subset_sets(f14(f13(a,cx,ct,f11(X1,sF0)),cx,ct,X2),cx)
    | ~ element_of_set(X0,sF0)
    | ~ element_of_set(X3,f13(a,cx,ct,f11(X1,sF0)))
    | element_of_set(X0,f10(X1,sF0,X0))
    | element_of_set(X3,interior(f14(f13(a,cx,ct,f11(X1,sF0)),cx,ct,X2),cx,ct))
    | element_of_set(X2,f14(f13(a,cx,ct,f11(X1,sF0)),cx,ct,X4))
    | element_of_set(X4,a)
    | ~ subset_sets(f13(a,cx,ct,f11(X1,sF0)),cx) ) ).

cnf(u7446,axiom,
    ( element_of_set(f11(X2,f8(X0,X1)),union_of_members(X1))
    | basis(X0,X1)
    | ~ topological_space(X0,X1)
    | element_of_collection(f8(X0,X1),top_of_basis(X2)) ) ).

cnf(u1234,axiom,
    ( closed(X0,X1,subspace_topology(X2,X3,relative_complement_sets(X0,X1)))
    | ~ connected_set(relative_complement_sets(X0,X1),X2,X3)
    | ~ topological_space(X1,subspace_topology(X2,X3,relative_complement_sets(X0,X1))) ) ).

cnf(u4040,axiom,
    ( ~ closed(f13(X4,X5,X6,f11(X3,closure(X0,X1,X2))),X9,X10)
    | ~ subset_sets(X0,interior(X4,X5,X6))
    | ~ closed(interior(X4,X5,X6),X1,X2)
    | element_of_set(f11(X7,boundary(X8,X9,X10)),interior(X4,X5,X6))
    | element_of_collection(boundary(X8,X9,X10),top_of_basis(X7))
    | element_of_collection(closure(X0,X1,X2),top_of_basis(X3))
    | ~ subset_sets(X8,f13(X4,X5,X6,f11(X3,closure(X0,X1,X2)))) ) ).

cnf(u771,axiom,
    ( ~ element_of_set(f11(X0,closure(relative_complement_sets(X1,X2),X2,X3)),closure(X1,X2,X3))
    | 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)) ) ).

cnf(u6809,negated_conjecture,
    ( ~ closed(closure(X0,X1,X2),X5,X6)
    | ~ closed(sF1,X1,X2)
    | element_of_collection(boundary(X4,X5,X6),top_of_basis(X3))
    | ~ subset_sets(X0,sF1)
    | ~ subset_sets(X4,closure(X0,X1,X2)) ) ).

cnf(u8021,axiom,
    ( ~ closed(f13(closure(X0,X1,X2),X3,X4,f11(X5,interior(closure(X0,X1,X2),X3,X4))),X1,X2)
    | ~ element_of_set(X6,interior(closure(X0,X1,X2),X3,X4))
    | element_of_set(X6,f10(X5,interior(closure(X0,X1,X2),X3,X4),X6))
    | ~ subset_sets(X0,f13(closure(X0,X1,X2),X3,X4,f11(X5,interior(closure(X0,X1,X2),X3,X4))))
    | ~ element_of_collection(f13(closure(X0,X1,X2),X3,X4,f11(X5,interior(closure(X0,X1,X2),X3,X4))),X7)
    | element_of_collection(closure(X0,X1,X2),top_of_basis(X7)) ) ).

cnf(u1683,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,f7(closure(X2,X0,X1),X3)),X5,X6)
    | ~ subset_sets(X2,sF0)
    | basis(closure(X2,X0,X1),X3)
    | ~ topological_space(closure(X2,X0,X1),X3)
    | element_of_set(f7(closure(X4,X5,X6),X7),sF0)
    | ~ topological_space(closure(X4,X5,X6),X7)
    | ~ subset_sets(X4,f13(a,cx,ct,f7(closure(X2,X0,X1),X3)))
    | ~ closed(sF0,X0,X1)
    | basis(closure(X4,X5,X6),X7) ) ).

cnf(u3968,negated_conjecture,
    ( element_of_set(f7(f13(a,cx,ct,X1),X2),union_of_members(top_of_basis(X0)))
    | element_of_set(f11(X0,sF0),sF0)
    | ~ topological_space(f13(a,cx,ct,X1),X2)
    | basis(f13(a,cx,ct,X1),X2)
    | ~ element_of_set(X1,sF0) ) ).

cnf(u9563,negated_conjecture,
    ( ~ element_of_set(X1,f13(a,cx,X0,f11(subspace_topology(X2,X3,X4),interior(a,cx,X0))))
    | element_of_set(f11(X0,a),a)
    | ~ topological_space(cx,X0)
    | subset_sets(X4,X2)
    | element_of_set(X1,interior(a,cx,X0)) ) ).

cnf(connected_set_94,axiom,
    ( connected_space(X0,subspace_topology(X1,X2,X0))
    | ~ connected_set(X0,X1,X2) ) ).

cnf(u4605,negated_conjecture,
    ( hausdorff(sF1,subspace_topology(X0,X1,sF1))
    | ~ compact_set(sF1,X0,X1) ) ).

cnf(u1565,axiom,
    ( ~ closed(f16(X3,X2,X0,X1),X6,X7)
    | ~ subset_sets(X2,X0)
    | limit_point(X3,X2,X0,X1)
    | element_of_set(f11(X4,closure(X5,X6,X7)),union_of_members(X1))
    | element_of_collection(closure(X5,X6,X7),top_of_basis(X4))
    | ~ topological_space(X0,X1)
    | ~ subset_sets(X5,f16(X3,X2,X0,X1)) ) ).

cnf(u1705,axiom,
    ( ~ element_of_set(X7,f13(X0,X1,X2,f7(closure(X5,X3,X4),X6)))
    | basis(closure(X5,X3,X4),X6)
    | ~ topological_space(closure(X5,X3,X4),X6)
    | ~ closed(interior(X0,X1,X2),X3,X4)
    | ~ subset_sets(X5,interior(X0,X1,X2))
    | element_of_set(X7,interior(X0,X1,X2)) ) ).

cnf(u3584,axiom,
    ( open(f13(X4,X5,X6,f11(X0,boundary(X1,X2,X3))),X5,X6)
    | ~ closed(interior(X4,X5,X6),X2,X3)
    | ~ subset_sets(X1,interior(X4,X5,X6))
    | element_of_collection(boundary(X1,X2,X3),top_of_basis(X0)) ) ).

cnf(u368,negated_conjecture,
    ( element_of_set(f20(f13(a,cx,ct,f19(sF0,X0)),X1),sF0)
    | ~ topological_space(sF0,X0)
    | hausdorff(sF0,X0)
    | ~ topological_space(f13(a,cx,ct,f19(sF0,X0)),X1)
    | hausdorff(f13(a,cx,ct,f19(sF0,X0)),X1) ) ).

cnf(u10631,negated_conjecture,
    hausdorff(cx,X0) ).

cnf(u388,negated_conjecture,
    ( element_of_set(f7(f13(a,cx,ct,f20(sF0,X0)),X1),sF0)
    | ~ topological_space(sF0,X0)
    | hausdorff(sF0,X0)
    | basis(f13(a,cx,ct,f20(sF0,X0)),X1)
    | ~ topological_space(f13(a,cx,ct,f20(sF0,X0)),X1) ) ).

cnf(u9578,negated_conjecture,
    ( ~ closed(f13(a,cx,X0,f11(subspace_topology(X2,X7,X1),interior(a,cx,X0))),X4,X5)
    | ~ topological_space(cx,X0)
    | subset_sets(X1,X2)
    | element_of_set(f20(closure(X3,X4,X5),X6),interior(a,cx,X0))
    | hausdorff(closure(X3,X4,X5),X6)
    | ~ subset_sets(X3,f13(a,cx,X0,f11(subspace_topology(X2,X7,X1),interior(a,cx,X0))))
    | element_of_set(f11(X0,a),a)
    | ~ topological_space(closure(X3,X4,X5),X6) ) ).

cnf(u7491,negated_conjecture,
    ( element_of_set(X2,f10(X0,f13(a,cx,ct,f11(X1,sF0)),X2))
    | element_of_set(f11(X0,f13(a,cx,ct,f11(X1,sF0))),sF0)
    | ~ element_of_set(X2,f13(a,cx,ct,f11(X1,sF0)))
    | element_of_collection(sF0,top_of_basis(X1)) ) ).

cnf(u7132,axiom,
    ( ~ closed(f13(X0,X1,X2,f11(X7,closure(X5,X3,X4))),X10,X11)
    | ~ subset_sets(X5,interior(X0,X1,X2))
    | ~ element_of_set(X6,closure(X5,X3,X4))
    | element_of_set(X6,f10(X7,closure(X5,X3,X4),X6))
    | element_of_set(f11(X8,closure(X9,X10,X11)),interior(X0,X1,X2))
    | element_of_set(X12,f10(X8,closure(X9,X10,X11),X12))
    | ~ element_of_set(X12,closure(X9,X10,X11))
    | ~ closed(interior(X0,X1,X2),X3,X4)
    | ~ subset_sets(X9,f13(X0,X1,X2,f11(X7,closure(X5,X3,X4)))) ) ).

cnf(u7547,negated_conjecture,
    ( ~ subset_sets(interior(a,cx,X2),X1)
    | ~ topological_space(cx,X2)
    | ~ element_of_set(f11(X0,X1),a)
    | element_of_collection(X1,top_of_basis(X0))
    | ~ element_of_collection(interior(a,cx,X2),X0)
    | element_of_set(f11(X2,a),a) ) ).

cnf(u7335,axiom,
    ( ~ closed(interior(X0,X1,subspace_topology(X2,X3,X4)),X7,X8)
    | ~ subset_sets(X6,interior(X0,X1,subspace_topology(X2,X3,X4)))
    | ~ element_of_set(X9,closure(X6,X7,X8))
    | element_of_set(X9,f10(X5,closure(X6,X7,X8),X9))
    | topological_space(X2,X3) ) ).

cnf(u1428,negated_conjecture,
    ( element_of_collection(f13(f14(f13(a,cx,ct,X0),cx,ct,X1),cx,ct,X2),ct)
    | ~ element_of_set(X2,f13(a,cx,ct,X0))
    | ~ element_of_set(X0,sF0)
    | ~ subset_sets(f13(a,cx,ct,X0),cx)
    | element_of_set(X1,a)
    | ~ subset_sets(f14(f13(a,cx,ct,X0),cx,ct,X1),cx) ) ).

cnf(u339,axiom,
    ( open(f13(X0,X1,X2,f7(interior(X0,X1,X2),X3)),X1,X2)
    | ~ topological_space(interior(X0,X1,X2),X3)
    | basis(interior(X0,X1,X2),X3) ) ).

cnf(u3882,negated_conjecture,
    ( ~ subset_sets(a,f14(X0,cx,ct,f11(X4,f14(closure(X0,cx,ct),X1,X2,X3))))
    | ~ element_of_collection(closure(X0,cx,ct),X4)
    | ~ subset_sets(X0,cx)
    | element_of_set(X3,closure(closure(X0,cx,ct),X1,X2))
    | ~ subset_sets(closure(X0,cx,ct),X1)
    | ~ topological_space(X1,X2)
    | ~ topological_space(sF1,X5)
    | element_of_collection(f14(closure(X0,cx,ct),X1,X2,X3),top_of_basis(X4))
    | element_of_set(f7(sF1,X5),f14(X0,cx,ct,f11(X4,f14(closure(X0,cx,ct),X1,X2,X3))))
    | basis(sF1,X5) ) ).

cnf(u9543,negated_conjecture,
    ( ~ subset_sets(f13(a,cx,X2,f11(subspace_topology(X1,X5,X0),interior(a,cx,X2))),X3)
    | ~ topological_space(cx,X2)
    | element_of_set(f11(X2,a),a)
    | ~ subset_sets(X3,cx)
    | ~ element_of_set(X4,f13(a,cx,X2,f11(subspace_topology(X1,X5,X0),interior(a,cx,X2))))
    | subset_sets(X0,X1)
    | element_of_set(X4,interior(X3,cx,X2)) ) ).

cnf(u9782,negated_conjecture,
    ( subset_sets(f13(a,cx,X1,f20(f13(a,cx,X1,X0),X2)),a)
    | ~ topological_space(cx,X1)
    | element_of_set(f11(X1,a),a)
    | ~ topological_space(f13(a,cx,X1,X0),X2)
    | hausdorff(f13(a,cx,X1,X0),X2)
    | ~ element_of_set(X0,a) ) ).

cnf(u9166,negated_conjecture,
    ( element_of_set(f11(X2,f13(a,cx,X1,X0)),interior(a,cx,X1))
    | element_of_set(X3,f10(X2,f13(a,cx,X1,X0),X3))
    | ~ topological_space(cx,X1)
    | element_of_set(f11(X1,a),sF0)
    | ~ element_of_set(X0,a)
    | ~ element_of_set(X3,f13(a,cx,X1,X0)) ) ).

cnf(u286,negated_conjecture,
    ( element_of_set(f19(f13(a,cx,ct,X0),X1),sF0)
    | hausdorff(f13(a,cx,ct,X0),X1)
    | ~ topological_space(f13(a,cx,ct,X0),X1)
    | ~ element_of_set(X0,sF0) ) ).

cnf(u1482,axiom,
    ( ~ topological_space(boundary(X0,X1,X2),X3)
    | hausdorff(boundary(X0,X1,X2),X3)
    | subset_sets(X0,X1) ) ).

cnf(u686,negated_conjecture,
    ( element_of_set(f20(f13(a,cx,ct,f20(closure(X2,X0,X1),X3)),X4),sF0)
    | ~ subset_sets(X2,sF0)
    | ~ topological_space(closure(X2,X0,X1),X3)
    | hausdorff(closure(X2,X0,X1),X3)
    | ~ closed(sF0,X0,X1)
    | ~ topological_space(f13(a,cx,ct,f20(closure(X2,X0,X1),X3)),X4)
    | hausdorff(f13(a,cx,ct,f20(closure(X2,X0,X1),X3)),X4) ) ).

cnf(u3585,axiom,
    ( ~ closed(interior(X4,X5,X6),X2,X3)
    | element_of_collection(boundary(X1,X2,X3),top_of_basis(X0))
    | ~ subset_sets(X1,interior(X4,X5,X6))
    | topological_space(X5,X6) ) ).

cnf(u9874,axiom,
    ( ~ topological_space(interior(X0,X1,subspace_topology(X2,X3,X4)),X5)
    | basis(interior(X0,X1,subspace_topology(X2,X3,X4)),X5)
    | subset_sets(X4,X2) ) ).

cnf(u117,axiom,
    interior(a,cx,ct) = sF0 ).

cnf(u655,axiom,
    ( ~ closed(closure(X4,X5,X6),X1,X2)
    | ~ subset_sets(X0,closure(X4,X5,X6))
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | ~ subset_sets(X4,X7)
    | ~ closed(X7,X5,X6)
    | element_of_set(f20(closure(X0,X1,X2),X3),X7) ) ).

cnf(u9576,negated_conjecture,
    ( ~ closed(f13(a,cx,X0,f11(subspace_topology(X2,X7,X1),interior(a,cx,X0))),X4,X5)
    | ~ topological_space(cx,X0)
    | subset_sets(X1,X2)
    | element_of_set(f19(closure(X3,X4,X5),X6),interior(a,cx,X0))
    | hausdorff(closure(X3,X4,X5),X6)
    | ~ subset_sets(X3,f13(a,cx,X0,f11(subspace_topology(X2,X7,X1),interior(a,cx,X0))))
    | element_of_set(f11(X0,a),a)
    | ~ topological_space(closure(X3,X4,X5),X6) ) ).

cnf(u901,negated_conjecture,
    ( element_of_set(f20(f13(a,cx,ct,f11(X3,closure(X0,X1,X2))),X4),sF0)
    | ~ closed(sF0,X1,X2)
    | element_of_collection(closure(X0,X1,X2),top_of_basis(X3))
    | ~ subset_sets(X0,sF0)
    | ~ topological_space(f13(a,cx,ct,f11(X3,closure(X0,X1,X2))),X4)
    | hausdorff(f13(a,cx,ct,f11(X3,closure(X0,X1,X2))),X4) ) ).

cnf(u1326,negated_conjecture,
    ( ~ closed(f1(top_of_basis(X1),X0),X3,X4)
    | element_of_set(f11(X1,sF1),sF1)
    | element_of_set(f19(closure(X2,X3,X4),X5),union_of_members(top_of_basis(X1)))
    | hausdorff(closure(X2,X3,X4),X5)
    | ~ subset_sets(X2,f1(top_of_basis(X1),X0))
    | ~ element_of_set(X0,sF1)
    | ~ topological_space(closure(X2,X3,X4),X5) ) ).

cnf(u474,axiom,
    ( element_of_set(f20(f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),X4),interior(X0,X1,X2))
    | hausdorff(interior(X0,X1,X2),X3)
    | ~ topological_space(interior(X0,X1,X2),X3)
    | ~ topological_space(f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),X4)
    | hausdorff(f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),X4) ) ).

cnf(u16615,axiom,
    ( equal_sets(union_of_sets(f21(X0,X1),f22(X0,X1)),X0)
    | connected_space(X0,X1) ) ).

cnf(u3508,axiom,
    ( ~ element_of_collection(f13(union_of_members(ct),X2,X3,f7(closure(X4,X5,X6),X7)),X0)
    | ~ element_of_set(X1,f13(union_of_members(ct),X2,X3,f7(closure(X4,X5,X6),X7)))
    | ~ topological_space(sF0,X0)
    | element_of_set(X1,interior(union_of_members(ct),sF0,X0))
    | ~ subset_sets(X4,interior(union_of_members(ct),X2,X3))
    | ~ closed(interior(union_of_members(ct),X2,X3),X5,X6)
    | basis(closure(X4,X5,X6),X7)
    | ~ topological_space(closure(X4,X5,X6),X7) ) ).

cnf(u783,axiom,
    ( ~ closed(interior(X4,X5,X6),X2,X3)
    | element_of_collection(closure(X1,X2,X3),top_of_basis(X0))
    | ~ subset_sets(X1,interior(X4,X5,X6))
    | topological_space(X5,X6) ) ).

cnf(u1441,axiom,
    ( ~ subset_sets(f13(a,cx,ct,f11(X0,sF0)),X1)
    | ~ subset_sets(X1,cx)
    | ~ element_of_set(X2,f13(a,cx,ct,f11(X0,sF0)))
    | element_of_collection(sF0,top_of_basis(X0))
    | element_of_set(X2,interior(X1,cx,ct)) ) ).

cnf(u6942,axiom,
    ( element_of_collection(f1(ct,f20(sF0,X0)),ct)
    | hausdorff(sF0,X0)
    | ~ topological_space(sF0,X0) ) ).

cnf(u7064,axiom,
    ( ~ closed(closure(X4,X5,X6),X2,X3)
    | ~ element_of_set(X7,closure(X1,X2,X3))
    | element_of_set(X7,f10(X0,closure(X1,X2,X3),X7))
    | ~ subset_sets(X1,closure(X4,X5,X6))
    | subset_sets(X4,X5) ) ).

cnf(u3834,axiom,
    ( topological_space(X0,subspace_topology(X1,X2,X0))
    | ~ compact_set(X0,X1,X2) ) ).

cnf(connected_space_90,axiom,
    ( ~ separation(X2,X3,X0,X1)
    | ~ connected_space(X0,X1) ) ).

cnf(u1520,axiom,
    ( ~ subset_sets(f13(a,cx,ct,f11(X0,sF0)),sF0)
    | ~ element_of_collection(f13(a,cx,ct,f11(X0,sF0)),X0)
    | element_of_collection(sF0,top_of_basis(X0)) ) ).

cnf(u7661,negated_conjecture,
    ( ~ subset_sets(f13(a,cx,X2,f11(X0,X1)),X1)
    | ~ element_of_set(f11(X0,X1),a)
    | ~ topological_space(cx,X2)
    | element_of_collection(X1,top_of_basis(X0))
    | ~ element_of_collection(f13(a,cx,X2,f11(X0,X1)),X0)
    | element_of_set(f11(X2,a),a) ) ).

cnf(u5851,negated_conjecture,
    basis(sF1,X0) ).

cnf(u4049,negated_conjecture,
    ( element_of_set(X4,interior(a,cx,subspace_topology(X1,X2,f10(X0,a,X3))))
    | ~ topological_space(cx,subspace_topology(X1,X2,f10(X0,a,X3)))
    | ~ element_of_set(X4,f10(X0,a,X3))
    | ~ element_of_set(X3,a)
    | ~ element_of_collection(a,top_of_basis(X0))
    | ~ connected_set(f10(X0,a,X3),X1,X2) ) ).

cnf(u433,axiom,
    ( equal_sets(union_of_sets(f21(X0,X1),f22(X0,X1)),X0)
    | ~ topological_space(X0,X1)
    | connected_space(X0,X1) ) ).

cnf(u5844,negated_conjecture,
    hausdorff(boundary(a,cx,ct),X0) ).

cnf(u6594,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,f20(closure(X0,X1,X2),X3)),X5,X6)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | element_of_set(f20(closure(X4,X5,X6),X7),interior(a,sF0,ct))
    | ~ subset_sets(X0,sF0)
    | ~ closed(sF0,X1,X2)
    | hausdorff(closure(X4,X5,X6),X7)
    | ~ subset_sets(X4,f13(a,cx,ct,f20(closure(X0,X1,X2),X3)))
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ topological_space(closure(X4,X5,X6),X7) ) ).

cnf(u7026,axiom,
    ( ~ element_of_set(X5,closure(X1,X2,X3))
    | element_of_set(X5,f10(X0,closure(X1,X2,X3),X5))
    | ~ closed(intersection_of_members(X4),X2,X3)
    | ~ subset_sets(X1,intersection_of_members(X4))
    | ~ element_of_collection(X6,X4)
    | element_of_set(f11(X0,closure(X1,X2,X3)),X6) ) ).

cnf(u10615,axiom,
    ( element_of_set(f7(relative_complement_sets(a,cx),X0),interior(cx,cx,X1))
    | ~ closed(a,cx,X1)
    | basis(relative_complement_sets(a,cx),X0) ) ).

cnf(u9568,negated_conjecture,
    ( ~ closed(f13(a,cx,X0,f11(subspace_topology(X2,X7,X1),interior(a,cx,X0))),X4,X5)
    | ~ topological_space(cx,X0)
    | subset_sets(X1,X2)
    | element_of_set(f7(closure(X3,X4,X5),X6),interior(a,cx,X0))
    | ~ topological_space(closure(X3,X4,X5),X6)
    | ~ subset_sets(X3,f13(a,cx,X0,f11(subspace_topology(X2,X7,X1),interior(a,cx,X0))))
    | element_of_set(f11(X0,a),a)
    | basis(closure(X3,X4,X5),X6) ) ).

cnf(u7714,negated_conjecture,
    ( ~ closed(f13(a,cx,X0,X1),X4,X5)
    | ~ element_of_set(X1,a)
    | ~ topological_space(cx,X0)
    | element_of_set(f11(X2,closure(X3,X4,X5)),interior(a,cx,X0))
    | element_of_set(X6,f10(X2,closure(X3,X4,X5),X6))
    | ~ element_of_set(X6,closure(X3,X4,X5))
    | element_of_set(f11(X0,a),a)
    | ~ subset_sets(X3,f13(a,cx,X0,X1)) ) ).

cnf(u3854,axiom,
    ( element_of_set(X3,union_of_members(subspace_topology(X1,X2,X0)))
    | ~ element_of_set(X3,X0)
    | ~ compact_set(X0,X1,X2) ) ).

cnf(hausdorff_75,axiom,
    ( neighborhood(f18(X0,X1,X2,X3),X3,X0,X1)
    | ~ element_of_set(X2,X0)
    | ~ element_of_set(X3,X0)
    | eq_p(X2,X3)
    | ~ hausdorff(X0,X1) ) ).

cnf(u223,axiom,
    ( ~ subset_sets(f16(X2,X0,X1,X3),X4)
    | limit_point(X2,X0,X1,X3)
    | ~ topological_space(X1,X3)
    | ~ subset_sets(X4,X1)
    | ~ element_of_set(X5,f16(X2,X0,X1,X3))
    | ~ subset_sets(X0,X1)
    | element_of_set(X5,interior(X4,X1,X3)) ) ).

cnf(u9952,axiom,
    ( element_of_set(f11(subspace_topology(X0,X1,X2),f13(X3,X4,X5,f11(X6,closure(X7,X8,X9)))),f13(X3,X4,X5,f11(X6,closure(X7,X8,X9))))
    | topological_space(X0,X1)
    | ~ closed(interior(X3,X4,X5),X8,X9)
    | ~ subset_sets(X7,interior(X3,X4,X5))
    | element_of_collection(closure(X7,X8,X9),top_of_basis(X6)) ) ).

cnf(u4021,negated_conjecture,
    ( element_of_set(f20(f13(a,cx,ct,f7(sF0,X1)),X2),union_of_members(top_of_basis(X0)))
    | element_of_set(f11(X0,sF0),sF0)
    | basis(sF0,X1)
    | ~ topological_space(sF0,X1)
    | ~ topological_space(f13(a,cx,ct,f7(sF0,X1)),X2)
    | hausdorff(f13(a,cx,ct,f7(sF0,X1)),X2) ) ).

cnf(u1292,negated_conjecture,
    ( element_of_set(f11(X1,sF1),f14(a,cx,ct,X2))
    | element_of_collection(f1(top_of_basis(X1),X0),top_of_basis(X1))
    | element_of_set(X2,sF1)
    | ~ element_of_set(X0,sF1) ) ).

cnf(u3883,negated_conjecture,
    ( ~ subset_sets(a,f14(X0,cx,ct,f11(X4,f14(closure(X0,cx,ct),X1,X2,X3))))
    | ~ element_of_collection(closure(X0,cx,ct),X4)
    | ~ subset_sets(X0,cx)
    | element_of_set(X3,closure(closure(X0,cx,ct),X1,X2))
    | ~ subset_sets(closure(X0,cx,ct),X1)
    | ~ topological_space(X1,X2)
    | hausdorff(sF1,X5)
    | element_of_collection(f14(closure(X0,cx,ct),X1,X2,X3),top_of_basis(X4))
    | element_of_set(f19(sF1,X5),f14(X0,cx,ct,f11(X4,f14(closure(X0,cx,ct),X1,X2,X3))))
    | ~ topological_space(sF1,X5) ) ).

cnf(u1121,axiom,
    ( element_of_collection(f12(X1,X2,X3,f2(subspace_topology(X1,X2,X3),X0)),X2)
    | element_of_set(X0,intersection_of_members(subspace_topology(X1,X2,X3))) ) ).

cnf(u3835,axiom,
    ( element_of_collection(intersection_of_sets(X3,X4),subspace_topology(X1,X2,X0))
    | ~ element_of_collection(X3,subspace_topology(X1,X2,X0))
    | ~ element_of_collection(X4,subspace_topology(X1,X2,X0))
    | ~ compact_set(X0,X1,X2) ) ).

cnf(u1115,axiom,
    ( element_of_collection(f12(X2,X3,X4,f13(X0,X1,subspace_topology(X2,X3,X4),f20(closure(X7,X5,X6),X8))),X3)
    | ~ topological_space(closure(X7,X5,X6),X8)
    | hausdorff(closure(X7,X5,X6),X8)
    | ~ subset_sets(X7,interior(X0,X1,subspace_topology(X2,X3,X4)))
    | ~ closed(interior(X0,X1,subspace_topology(X2,X3,X4)),X5,X6) ) ).

cnf(u808,axiom,
    ( ~ closed(f13(closure(X0,X1,X2),X3,X4,f20(closure(X5,X6,X7),X8)),X1,X2)
    | ~ subset_sets(X0,f13(closure(X0,X1,X2),X3,X4,f20(closure(X5,X6,X7),X8)))
    | ~ element_of_collection(f13(closure(X0,X1,X2),X3,X4,f20(closure(X5,X6,X7),X8)),X9)
    | element_of_collection(closure(X0,X1,X2),top_of_basis(X9))
    | ~ subset_sets(X5,interior(closure(X0,X1,X2),X3,X4))
    | ~ closed(interior(closure(X0,X1,X2),X3,X4),X6,X7)
    | ~ topological_space(closure(X5,X6,X7),X8)
    | hausdorff(closure(X5,X6,X7),X8) ) ).

cnf(u8403,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X2,X4,X1),interior(a,cx,X0)),union_of_members(top_of_basis(X3)))
    | element_of_set(f11(X3,interior(a,cx,X0)),interior(a,cx,X0))
    | ~ topological_space(cx,X0)
    | subset_sets(X1,X2)
    | element_of_set(f11(X0,a),a) ) ).

cnf(u956,axiom,
    ( open(f13(X4,X5,X6,f19(closure(X0,X1,X2),X3)),X5,X6)
    | ~ subset_sets(X0,interior(X4,X5,X6))
    | ~ closed(interior(X4,X5,X6),X1,X2)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | hausdorff(closure(X0,X1,X2),X3) ) ).

cnf(u3977,axiom,
    ( element_of_set(f11(X1,sF0),union_of_members(top_of_basis(X0)))
    | element_of_set(f11(X0,union_of_members(ct)),union_of_members(ct))
    | element_of_collection(sF0,top_of_basis(X1)) ) ).

cnf(u682,negated_conjecture,
    ( ~ element_of_set(X4,f13(a,cx,ct,f20(closure(X0,X1,X2),X3)))
    | ~ closed(sF0,X1,X2)
    | ~ subset_sets(X0,sF0)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | hausdorff(closure(X0,X1,X2),X3)
    | element_of_set(X4,sF0) ) ).

cnf(u9641,negated_conjecture,
    ( element_of_set(X7,interior(f14(f13(a,cx,X0,f11(subspace_topology(X1,X2,X3),interior(a,cx,X0))),X4,X5,X6),cx,X0))
    | ~ topological_space(cx,X0)
    | ~ subset_sets(f14(f13(a,cx,X0,f11(subspace_topology(X1,X2,X3),interior(a,cx,X0))),X4,X5,X6),cx)
    | ~ element_of_set(X7,f13(a,cx,X0,f11(subspace_topology(X1,X2,X3),interior(a,cx,X0))))
    | subset_sets(X3,X1)
    | element_of_set(f11(X0,a),sF0)
    | ~ closed(sF1,X4,X5)
    | ~ subset_sets(f13(a,cx,X0,f11(subspace_topology(X1,X2,X3),interior(a,cx,X0))),sF1)
    | ~ subset_sets(f13(a,cx,X0,f11(subspace_topology(X1,X2,X3),interior(a,cx,X0))),X4) ) ).

cnf(u3963,negated_conjecture,
    ( element_of_set(f11(X0,f14(a,cx,ct,f11(X1,X2))),f14(a,cx,ct,f11(X1,X2)))
    | element_of_set(X3,union_of_members(top_of_basis(X0)))
    | element_of_collection(X2,top_of_basis(X1))
    | ~ subset_sets(sF1,X2)
    | ~ element_of_set(X3,sF1)
    | ~ element_of_collection(sF1,X1) ) ).

cnf(u8397,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X2,X3,X1),interior(a,cx,X0)),f13(a,cx,X0,f11(subspace_topology(X2,X3,X1),interior(a,cx,X0))))
    | subset_sets(X1,X2)
    | ~ topological_space(cx,X0)
    | element_of_set(f11(X0,a),a) ) ).

cnf(u651,axiom,
    ( ~ closed(f13(X4,X5,X6,f20(interior(X4,X5,X6),X7)),X1,X2)
    | ~ subset_sets(X0,f13(X4,X5,X6,f20(interior(X4,X5,X6),X7)))
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | ~ topological_space(interior(X4,X5,X6),X7)
    | hausdorff(interior(X4,X5,X6),X7)
    | element_of_set(f20(closure(X0,X1,X2),X3),interior(X4,X5,X6)) ) ).

cnf(u7540,negated_conjecture,
    ( element_of_set(X0,f13(a,cx,X1,X0))
    | element_of_set(f11(X1,a),a)
    | ~ element_of_set(X0,a)
    | ~ topological_space(cx,X1) ) ).

cnf(u897,negated_conjecture,
    ( element_of_set(f7(f13(a,cx,ct,f11(X3,closure(X0,X1,X2))),X4),sF0)
    | ~ closed(sF0,X1,X2)
    | element_of_collection(closure(X0,X1,X2),top_of_basis(X3))
    | ~ subset_sets(X0,sF0)
    | basis(f13(a,cx,ct,f11(X3,closure(X0,X1,X2))),X4)
    | ~ topological_space(f13(a,cx,ct,f11(X3,closure(X0,X1,X2))),X4) ) ).

cnf(u4107,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X1,X2,X0),f14(X3,cx,ct,X4)),f14(X3,cx,ct,X4))
    | subset_sets(X3,f14(X3,cx,ct,X5))
    | subset_sets(X0,X1)
    | ~ subset_sets(X3,a)
    | element_of_set(X4,a)
    | ~ subset_sets(X3,cx) ) ).

cnf(u3896,negated_conjecture,
    ( ~ subset_sets(a,f14(a,cx,ct,f11(X3,f14(sF1,X0,X1,X2))))
    | ~ element_of_collection(sF1,X3)
    | element_of_set(X2,closure(sF1,X0,X1))
    | ~ subset_sets(sF1,X0)
    | ~ topological_space(X0,X1)
    | ~ topological_space(sF1,X4)
    | element_of_collection(f14(sF1,X0,X1,X2),top_of_basis(X3))
    | element_of_set(f7(sF1,X4),f14(a,cx,ct,f11(X3,f14(sF1,X0,X1,X2))))
    | basis(sF1,X4) ) ).

cnf(u1590,axiom,
    ( ~ subset_sets(f1(X2,f11(X0,X1)),X1)
    | ~ topological_space(X4,X2)
    | ~ subset_sets(X3,X4)
    | element_of_collection(X1,top_of_basis(X0))
    | ~ element_of_collection(f1(X2,f11(X0,X1)),X0)
    | limit_point(f11(X0,X1),X3,X4,X2) ) ).

cnf(u10472,axiom,
    ( ~ element_of_set(f7(X1,X0),X2)
    | ~ equal_sets(union_of_members(X0),X1)
    | basis(X1,X0) ) ).

cnf(u4122,axiom,
    ( element_of_set(f11(subspace_topology(X1,X2,X0),f13(X3,X4,X5,f11(X6,closure(X7,X8,X9)))),f13(X3,X4,X5,f11(X6,closure(X7,X8,X9))))
    | subset_sets(X0,X1)
    | ~ closed(interior(X3,X4,X5),X8,X9)
    | ~ subset_sets(X7,interior(X3,X4,X5))
    | element_of_collection(closure(X7,X8,X9),top_of_basis(X6)) ) ).

cnf(u784,axiom,
    ( subset_sets(f13(X4,X5,X6,f11(X0,closure(X1,X2,X3))),X4)
    | ~ closed(interior(X4,X5,X6),X2,X3)
    | ~ subset_sets(X1,interior(X4,X5,X6))
    | element_of_collection(closure(X1,X2,X3),top_of_basis(X0)) ) ).

cnf(u779,negated_conjecture,
    ( ~ closed(intersection_of_sets(X4,X5),X2,X3)
    | element_of_collection(closure(X1,X2,X3),top_of_basis(X0))
    | ~ subset_sets(X1,intersection_of_sets(X4,X5))
    | element_of_set(f11(X0,closure(X1,X2,X3)),union_of_members(ct))
    | ~ element_of_collection(X5,ct)
    | ~ element_of_collection(X4,ct) ) ).

cnf(u3501,axiom,
    ( ~ closed(f13(X1,X2,X3,f19(sF1,X0)),X6,X7)
    | hausdorff(sF1,X0)
    | ~ closed(interior(X1,X2,X3),cx,ct)
    | ~ subset_sets(a,interior(X1,X2,X3))
    | element_of_set(f11(X4,closure(X5,X6,X7)),interior(X1,X2,X3))
    | element_of_collection(closure(X5,X6,X7),top_of_basis(X4))
    | ~ topological_space(sF1,X0)
    | ~ subset_sets(X5,f13(X1,X2,X3,f19(sF1,X0))) ) ).

cnf(u6827,negated_conjecture,
    ( element_of_set(X4,interior(f14(f13(a,cx,ct,f20(sF0,X2)),X0,X1,X3),cx,ct))
    | ~ subset_sets(f13(a,cx,ct,f20(sF0,X2)),sF1)
    | ~ subset_sets(f13(a,cx,ct,f20(sF0,X2)),X0)
    | ~ topological_space(sF0,X2)
    | ~ subset_sets(f14(f13(a,cx,ct,f20(sF0,X2)),X0,X1,X3),cx)
    | ~ element_of_set(X4,f13(a,cx,ct,f20(sF0,X2)))
    | hausdorff(sF0,X2)
    | ~ closed(sF1,X0,X1) ) ).

cnf(u8094,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,X4),X2,X3)
    | ~ element_of_set(X4,a)
    | element_of_set(X5,f10(X0,closure(X1,X2,X3),X5))
    | ~ element_of_set(X5,closure(X1,X2,X3))
    | element_of_set(f11(X0,closure(X1,X2,X3)),sF0)
    | ~ subset_sets(X1,f13(a,cx,ct,X4)) ) ).

cnf(u6831,negated_conjecture,
    ( element_of_set(X7,interior(f14(f13(X2,X3,X4,f11(X5,interior(X2,X3,X4))),X0,X1,X6),X3,X4))
    | ~ subset_sets(f13(X2,X3,X4,f11(X5,interior(X2,X3,X4))),sF1)
    | ~ subset_sets(f13(X2,X3,X4,f11(X5,interior(X2,X3,X4))),X0)
    | ~ subset_sets(f14(f13(X2,X3,X4,f11(X5,interior(X2,X3,X4))),X0,X1,X6),X3)
    | ~ element_of_set(X7,f13(X2,X3,X4,f11(X5,interior(X2,X3,X4))))
    | element_of_collection(interior(X2,X3,X4),top_of_basis(X5))
    | ~ closed(sF1,X0,X1) ) ).

cnf(compact_space_102,axiom,
    ( subset_collections(f23(X0,X1,X2),X2)
    | ~ open_covering(X2,X0,X1)
    | ~ compact_space(X0,X1) ) ).

cnf(u760,negated_conjecture,
    ( element_of_set(f11(X0,f13(a,cx,ct,f20(closure(X1,X2,X3),X4))),sF0)
    | ~ closed(sF0,X2,X3)
    | ~ subset_sets(X1,sF0)
    | ~ topological_space(closure(X1,X2,X3),X4)
    | hausdorff(closure(X1,X2,X3),X4)
    | element_of_collection(f13(a,cx,ct,f20(closure(X1,X2,X3),X4)),top_of_basis(X0)) ) ).

cnf(u7013,axiom,
    ( ~ subset_sets(f10(X2,closure(X3,X4,X5),f11(X0,X1)),X1)
    | ~ element_of_set(f11(X0,X1),closure(X3,X4,X5))
    | ~ closed(X6,X4,X5)
    | ~ subset_sets(X3,X6)
    | element_of_collection(X1,top_of_basis(X0))
    | ~ element_of_collection(f10(X2,closure(X3,X4,X5),f11(X0,X1)),X0)
    | element_of_set(f11(X2,closure(X3,X4,X5)),X6) ) ).

cnf(u3629,axiom,
    ( ~ element_of_collection(f13(f13(a,cx,ct,X0),X1,X2,f11(X6,boundary(X5,X3,X4))),X7)
    | ~ subset_sets(X5,interior(f13(a,cx,ct,X0),X1,X2))
    | element_of_collection(boundary(X5,X3,X4),top_of_basis(X6))
    | ~ topological_space(a,X7)
    | ~ element_of_set(X8,f13(f13(a,cx,ct,X0),X1,X2,f11(X6,boundary(X5,X3,X4))))
    | ~ closed(interior(f13(a,cx,ct,X0),X1,X2),X3,X4)
    | element_of_set(X8,interior(f13(a,cx,ct,X0),a,X7))
    | ~ element_of_set(X0,sF0) ) ).

cnf(u1095,negated_conjecture,
    ( ~ subset_sets(a,f14(a,cx,ct,f11(X0,X1)))
    | element_of_collection(X1,top_of_basis(X0))
    | ~ subset_sets(sF1,X1)
    | ~ element_of_collection(sF1,X0)
    | ~ element_of_set(X2,sF1)
    | element_of_set(X2,f14(a,cx,ct,f11(X0,X1))) ) ).

cnf(u9633,negated_conjecture,
    ( ~ subset_sets(f13(a,cx,X2,f11(subspace_topology(X1,X5,X0),interior(a,cx,X2))),X3)
    | element_of_set(f11(X2,a),sF0)
    | ~ topological_space(cx,X2)
    | ~ subset_sets(X3,cx)
    | ~ element_of_set(X4,f13(a,cx,X2,f11(subspace_topology(X1,X5,X0),interior(a,cx,X2))))
    | subset_sets(X0,X1)
    | element_of_set(X4,interior(X3,cx,X2)) ) ).

cnf(u1229,negated_conjecture,
    ( ~ element_of_collection(X4,subspace_topology(X2,X3,f14(X0,cx,ct,X1)))
    | ~ subset_sets(X0,cx)
    | element_of_set(X1,a)
    | ~ connected_set(f14(X0,cx,ct,X1),X2,X3)
    | ~ subset_sets(X0,a)
    | ~ element_of_set(X5,X4)
    | ~ subset_sets(X4,X0)
    | element_of_set(X5,interior(X0,f14(X0,cx,ct,X1),subspace_topology(X2,X3,f14(X0,cx,ct,X1)))) ) ).

cnf(u7073,axiom,
    ( ~ closed(f14(X4,X5,X6,f11(X0,closure(X1,X2,X3))),X2,X3)
    | ~ element_of_set(X7,closure(X1,X2,X3))
    | element_of_set(X7,f10(X0,closure(X1,X2,X3),X7))
    | ~ subset_sets(X1,f14(X4,X5,X6,f11(X0,closure(X1,X2,X3))))
    | ~ topological_space(X5,X6)
    | ~ subset_sets(X4,X5)
    | element_of_set(f11(X0,closure(X1,X2,X3)),closure(X4,X5,X6)) ) ).

cnf(u376,axiom,
    ( ~ subset_sets(X4,f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)))
    | ~ topological_space(interior(X0,X1,X2),X3)
    | ~ element_of_collection(X4,X5)
    | ~ topological_space(X0,X5)
    | ~ element_of_set(X6,X4)
    | hausdorff(interior(X0,X1,X2),X3)
    | element_of_set(X6,interior(f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),X0,X5)) ) ).

cnf(u1051,axiom,
    ( ~ element_of_set(f7(X0,X1),f13(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2,X3,f7(interior(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2,X3),X4)))
    | basis(interior(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2,X3),X4)
    | ~ equal_sets(union_of_members(X1),X0)
    | ~ topological_space(interior(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2,X3),X4)
    | ~ element_of_collection(f13(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2,X3,f7(interior(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2,X3),X4)),X1)
    | basis(X0,X1) ) ).

cnf(u3720,axiom,
    ( element_of_set(f11(subspace_topology(X0,X1,X2),closure(X3,X4,X5)),X6)
    | element_of_collection(boundary(X3,X4,X5),top_of_basis(X7))
    | ~ closed(X6,X4,X5)
    | ~ subset_sets(X3,X6)
    | topological_space(X0,X1) ) ).

cnf(u3021,axiom,
    ( element_of_set(f11(X7,f13(X4,X5,X6,f19(closure(X0,X1,X2),X3))),interior(X4,X5,X6))
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ closed(interior(X4,X5,X6),X1,X2)
    | ~ subset_sets(X0,interior(X4,X5,X6))
    | ~ topological_space(closure(X0,X1,X2),X3)
    | element_of_collection(f13(X4,X5,X6,f19(closure(X0,X1,X2),X3)),top_of_basis(X7)) ) ).

cnf(u573,axiom,
    ( ~ element_of_set(f11(X1,X0),sF0)
    | ~ element_of_collection(union_of_members(ct),X1)
    | ~ subset_sets(union_of_members(ct),X0)
    | element_of_collection(X0,top_of_basis(X1)) ) ).

cnf(separation_87,axiom,
    ( ~ separation(X0,X1,X2,X3)
    | disjoint_s(X0,X1) ) ).

cnf(u9761,negated_conjecture,
    ( subset_sets(f13(a,cx,X1,f19(f13(a,cx,X1,X0),X2)),a)
    | ~ topological_space(cx,X1)
    | element_of_set(f11(X1,a),a)
    | ~ topological_space(f13(a,cx,X1,X0),X2)
    | hausdorff(f13(a,cx,X1,X0),X2)
    | ~ element_of_set(X0,a) ) ).

cnf(u1357,axiom,
    ( element_of_collection(f6(X3,X4,f7(intersection_of_sets(X0,X1),X2),X0,X1),X4)
    | ~ element_of_collection(X0,X4)
    | ~ element_of_collection(X1,X4)
    | ~ basis(X3,X4)
    | ~ element_of_set(f7(intersection_of_sets(X0,X1),X2),X3)
    | basis(intersection_of_sets(X0,X1),X2)
    | ~ topological_space(intersection_of_sets(X0,X1),X2) ) ).

cnf(u219,axiom,
    ( open(f16(X3,X2,X0,X1),X0,X1)
    | ~ subset_sets(X2,X0)
    | limit_point(X3,X2,X0,X1)
    | ~ topological_space(X0,X1) ) ).

cnf(u8256,negated_conjecture,
    ( ~ topological_space(cx,X1)
    | element_of_set(f11(X1,a),a)
    | ~ element_of_set(X0,a)
    | element_of_set(X0,f1(X1,X0)) ) ).

cnf(u1554,axiom,
    ( ~ element_of_set(f20(boundary(relative_complement_sets(X0,X1),X1,X2),X3),closure(X0,X1,X2))
    | ~ topological_space(boundary(relative_complement_sets(X0,X1),X1,X2),X3)
    | hausdorff(boundary(relative_complement_sets(X0,X1),X1,X2),X3)
    | element_of_set(f20(boundary(relative_complement_sets(X0,X1),X1,X2),X3),boundary(X0,X1,X2)) ) ).

cnf(u658,axiom,
    ( ~ closed(boundary(X4,X5,X6),X1,X2)
    | ~ subset_sets(X0,boundary(X4,X5,X6))
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | topological_space(X5,X6) ) ).

cnf(hausdorff_76,axiom,
    ( disjoint_s(f17(X0,X1,X2,X3),f18(X0,X1,X2,X3))
    | ~ element_of_set(X2,X0)
    | ~ element_of_set(X3,X0)
    | eq_p(X2,X3)
    | ~ hausdorff(X0,X1) ) ).

cnf(u1606,axiom,
    ( element_of_set(f7(closure(X0,X1,X2),X3),f1(X4,f7(closure(X0,X1,X2),X3)))
    | ~ subset_sets(X0,union_of_members(X4))
    | ~ closed(union_of_members(X4),X1,X2)
    | basis(closure(X0,X1,X2),X3)
    | ~ topological_space(closure(X0,X1,X2),X3) ) ).

cnf(u9868,axiom,
    ( ~ element_of_set(X4,f13(X0,X1,X2,f7(interior(X0,X1,X2),X3)))
    | ~ topological_space(interior(X0,X1,X2),X3)
    | basis(interior(X0,X1,X2),X3)
    | element_of_set(X4,union_of_members(X2)) ) ).

cnf(u1897,axiom,
    ( ~ subset_sets(a,f14(relative_complement_sets(a,cx),cx,ct,X0))
    | element_of_set(X0,boundary(a,cx,ct))
    | element_of_set(f11(X1,sF1),f14(relative_complement_sets(a,cx),cx,ct,X0))
    | element_of_collection(sF1,top_of_basis(X1))
    | ~ element_of_set(X0,sF1) ) ).

cnf(u1671,axiom,
    ( ~ closed(f13(closure(X1,X2,X3),X4,X5,f7(closure(X0,X6,X7),X8)),X2,X3)
    | ~ closed(interior(closure(X1,X2,X3),X4,X5),X6,X7)
    | basis(closure(X0,X6,X7),X8)
    | ~ topological_space(closure(X0,X6,X7),X8)
    | ~ subset_sets(X0,interior(closure(X1,X2,X3),X4,X5))
    | ~ subset_sets(X1,f13(closure(X1,X2,X3),X4,X5,f7(closure(X0,X6,X7),X8)))
    | ~ element_of_collection(f13(closure(X1,X2,X3),X4,X5,f7(closure(X0,X6,X7),X8)),X9)
    | element_of_collection(closure(X1,X2,X3),top_of_basis(X9)) ) ).

cnf(u4093,axiom,
    ( element_of_set(f11(subspace_topology(X1,X2,X0),f1(ct,X3)),f1(ct,X3))
    | subset_sets(X0,X1)
    | ~ element_of_set(X3,sF0) ) ).

cnf(u7178,axiom,
    ( element_of_set(f11(X8,f10(X1,closure(X2,X3,X4),X0)),f10(X1,closure(X2,X3,X4),X0))
    | element_of_set(f11(X1,closure(X2,X3,X4)),f13(X5,X6,X7,f11(X1,closure(X2,X3,X4))))
    | ~ subset_sets(X2,interior(X5,X6,X7))
    | ~ element_of_set(X0,closure(X2,X3,X4))
    | ~ closed(interior(X5,X6,X7),X3,X4)
    | element_of_set(X0,union_of_members(top_of_basis(X8))) ) ).

cnf(u6959,axiom,
    ( ~ element_of_set(X4,f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))))
    | element_of_collection(interior(X0,X1,X2),top_of_basis(X3))
    | element_of_set(X4,union_of_members(X2)) ) ).

cnf(u7210,axiom,
    ( ~ element_of_set(X4,f1(top_of_basis(subspace_topology(X0,X1,X2)),f19(union_of_members(top_of_basis(subspace_topology(X0,X1,X2))),X3)))
    | ~ topological_space(union_of_members(top_of_basis(subspace_topology(X0,X1,X2))),X3)
    | hausdorff(union_of_members(top_of_basis(subspace_topology(X0,X1,X2))),X3)
    | subset_sets(X2,X0) ) ).

cnf(u1490,axiom,
    ( ~ element_of_collection(X1,top_of_basis(subspace_topology(X2,X3,X4)))
    | ~ element_of_set(X0,X1)
    | subset_sets(X4,X2) ) ).

cnf(u4018,axiom,
    ( element_of_set(f19(boundary(a,cx,ct),X1),union_of_members(top_of_basis(X0)))
    | element_of_set(f11(X0,sF1),sF1)
    | hausdorff(boundary(a,cx,ct),X1)
    | ~ topological_space(boundary(a,cx,ct),X1) ) ).

cnf(u9484,negated_conjecture,
    ( ~ closed(f13(a,cx,X1,X0),X3,X4)
    | ~ topological_space(cx,X1)
    | element_of_set(f11(X1,a),sF0)
    | element_of_set(f19(closure(X2,X3,X4),X5),union_of_members(X1))
    | hausdorff(closure(X2,X3,X4),X5)
    | ~ subset_sets(X2,f13(a,cx,X1,X0))
    | ~ element_of_set(X0,a)
    | ~ topological_space(closure(X2,X3,X4),X5) ) ).

cnf(u515,axiom,
    ( element_of_set(f19(f1(ct,X0),X1),union_of_members(ct))
    | ~ element_of_set(X0,sF0)
    | ~ topological_space(f1(ct,X0),X1)
    | hausdorff(f1(ct,X0),X1) ) ).

cnf(u9891,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X0,X1,X2),f1(ct,X3)),f1(ct,X3))
    | topological_space(X0,X1)
    | ~ element_of_set(X3,cx) ) ).

cnf(u9847,negated_conjecture,
    ( ~ subset_sets(f13(a,cx,X0,f20(f13(a,cx,X0,X1),X2)),X3)
    | element_of_set(f11(X0,a),a)
    | ~ topological_space(f13(a,cx,X0,X1),X2)
    | hausdorff(f13(a,cx,X0,X1),X2)
    | ~ element_of_set(X1,a)
    | ~ subset_sets(X3,cx)
    | ~ element_of_set(X4,f13(a,cx,X0,f20(f13(a,cx,X0,X1),X2)))
    | ~ topological_space(cx,X0)
    | element_of_set(X4,interior(X3,cx,X0)) ) ).

cnf(u663,negated_conjecture,
    ( ~ subset_sets(a,f14(X1,cx,ct,X2))
    | hausdorff(sF1,X0)
    | element_of_set(f20(sF1,X0),f14(X1,cx,ct,X2))
    | ~ topological_space(sF1,X0)
    | ~ subset_sets(X1,a)
    | ~ subset_sets(X1,cx)
    | element_of_set(X2,a) ) ).

cnf(u909,axiom,
    ( ~ subset_sets(f13(X0,X1,X2,f11(X6,closure(X5,X3,X4))),X7)
    | ~ subset_sets(X5,interior(X0,X1,X2))
    | element_of_collection(closure(X5,X3,X4),top_of_basis(X6))
    | ~ subset_sets(X7,X1)
    | ~ element_of_set(X8,f13(X0,X1,X2,f11(X6,closure(X5,X3,X4))))
    | ~ closed(interior(X0,X1,X2),X3,X4)
    | element_of_set(X8,interior(X7,X1,X2)) ) ).

cnf(u3702,axiom,
    ( ~ element_of_set(X0,f10(top_of_basis(subspace_topology(X1,X2,X3)),X4,X5))
    | topological_space(X1,X2)
    | ~ element_of_set(X5,X4)
    | ~ element_of_collection(X4,top_of_basis(top_of_basis(subspace_topology(X1,X2,X3)))) ) ).

cnf(u1106,axiom,
    ( element_of_set(f7(f21(X0,X1),X2),union_of_members(X1))
    | connected_space(X0,X1)
    | ~ topological_space(X0,X1)
    | basis(f21(X0,X1),X2)
    | ~ topological_space(f21(X0,X1),X2) ) ).

cnf(u3634,negated_conjecture,
    ( ~ element_of_collection(f13(a,X0,X1,f11(X5,boundary(X4,X2,X3))),X6)
    | ~ subset_sets(X4,interior(a,X0,X1))
    | element_of_collection(boundary(X4,X2,X3),top_of_basis(X5))
    | ~ topological_space(cx,X6)
    | ~ element_of_set(X7,f13(a,X0,X1,f11(X5,boundary(X4,X2,X3))))
    | ~ closed(interior(a,X0,X1),X2,X3)
    | element_of_set(X7,interior(a,cx,X6)) ) ).

cnf(u1363,axiom,
    ( element_of_collection(f6(X3,X4,f20(intersection_of_sets(X0,X1),X2),X0,X1),X4)
    | ~ element_of_collection(X0,X4)
    | ~ element_of_collection(X1,X4)
    | ~ basis(X3,X4)
    | ~ element_of_set(f20(intersection_of_sets(X0,X1),X2),X3)
    | ~ topological_space(intersection_of_sets(X0,X1),X2)
    | hausdorff(intersection_of_sets(X0,X1),X2) ) ).

cnf(u482,axiom,
    ( open(f13(a,cx,ct,f20(sF0,X0)),cx,ct)
    | hausdorff(sF0,X0)
    | ~ topological_space(sF0,X0) ) ).

cnf(u1600,axiom,
    ( ~ element_of_set(f7(X1,X2),f10(X3,intersection_of_sets(f8(X1,X2),f9(X1,X2)),X0))
    | ~ element_of_collection(intersection_of_sets(f8(X1,X2),f9(X1,X2)),top_of_basis(X3))
    | ~ equal_sets(union_of_members(X2),X1)
    | ~ element_of_set(X0,intersection_of_sets(f8(X1,X2),f9(X1,X2)))
    | ~ element_of_collection(f10(X3,intersection_of_sets(f8(X1,X2),f9(X1,X2)),X0),X2)
    | basis(X1,X2) ) ).

cnf(u3840,axiom,
    ( basis(interior(X0,X1,X2),subspace_topology(X3,X4,interior(X0,X1,X2)))
    | ~ compact_set(interior(X0,X1,X2),X3,X4)
    | subset_sets(X0,X1) ) ).

cnf(u7486,axiom,
    ( element_of_set(f11(X0,f13(a,cx,ct,f7(sF0,X1))),union_of_members(ct))
    | element_of_set(X2,f10(X0,f13(a,cx,ct,f7(sF0,X1)),X2))
    | ~ topological_space(sF0,X1)
    | basis(sF0,X1)
    | ~ element_of_set(X2,f13(a,cx,ct,f7(sF0,X1))) ) ).

cnf(u7307,axiom,
    ( element_of_set(f20(f13(X4,X5,X6,f7(closure(X0,X1,X2),X3)),X7),interior(X4,X5,X6))
    | ~ topological_space(closure(X0,X1,X2),X3)
    | ~ closed(interior(X4,X5,X6),X1,X2)
    | ~ subset_sets(X0,interior(X4,X5,X6))
    | basis(closure(X0,X1,X2),X3)
    | ~ topological_space(f13(X4,X5,X6,f7(closure(X0,X1,X2),X3)),X7)
    | hausdorff(f13(X4,X5,X6,f7(closure(X0,X1,X2),X3)),X7) ) ).

cnf(open_covering_98,axiom,
    ( ~ open_covering(X0,X1,X2)
    | equal_sets(union_of_members(X0),X1) ) ).

cnf(u644,axiom,
    ( subset_sets(f13(X4,X5,X6,f20(closure(X0,X1,X2),X3)),X4)
    | ~ subset_sets(X0,interior(X4,X5,X6))
    | ~ closed(interior(X4,X5,X6),X1,X2)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | hausdorff(closure(X0,X1,X2),X3) ) ).

cnf(u3679,axiom,
    ( element_of_collection(f12(X3,X4,X5,f13(X1,X2,subspace_topology(X3,X4,X5),f11(X8,boundary(X0,X6,X7)))),X4)
    | element_of_collection(boundary(X0,X6,X7),top_of_basis(X8))
    | ~ closed(interior(X1,X2,subspace_topology(X3,X4,X5)),X6,X7)
    | ~ subset_sets(X0,interior(X1,X2,subspace_topology(X3,X4,X5))) ) ).

cnf(u309,axiom,
    ( element_of_set(f20(f13(a,cx,ct,X0),X1),union_of_members(ct))
    | ~ element_of_set(X0,sF0)
    | ~ topological_space(f13(a,cx,ct,X0),X1)
    | hausdorff(f13(a,cx,ct,X0),X1) ) ).

cnf(u7235,axiom,
    ( ~ connected_set(X0,X1,subspace_topology(X2,X3,X4))
    | subset_sets(X4,X2) ) ).

cnf(u441,axiom,
    ( element_of_collection(f12(X0,X1,X2,f16(X3,X4,X5,subspace_topology(X0,X1,X2))),X1)
    | limit_point(X3,X4,X5,subspace_topology(X0,X1,X2))
    | ~ topological_space(X5,subspace_topology(X0,X1,X2))
    | ~ subset_sets(X4,X5) ) ).

cnf(u7114,negated_conjecture,
    ( ~ element_of_collection(f13(a,X0,X1,f11(X2,closure(X3,X4,X5))),X7)
    | ~ closed(interior(a,X0,X1),X4,X5)
    | ~ subset_sets(X3,interior(a,X0,X1))
    | ~ element_of_set(X6,closure(X3,X4,X5))
    | ~ topological_space(cx,X7)
    | ~ element_of_set(X8,f13(a,X0,X1,f11(X2,closure(X3,X4,X5))))
    | element_of_set(X6,f10(X2,closure(X3,X4,X5),X6))
    | element_of_set(X8,interior(a,cx,X7)) ) ).

cnf(u3498,axiom,
    ( ~ topological_space(f13(X1,X2,X3,f19(sF1,X0)),X4)
    | hausdorff(sF1,X0)
    | ~ closed(interior(X1,X2,X3),cx,ct)
    | ~ subset_sets(a,interior(X1,X2,X3))
    | element_of_set(f7(f13(X1,X2,X3,f19(sF1,X0)),X4),interior(X1,X2,X3))
    | basis(f13(X1,X2,X3,f19(sF1,X0)),X4)
    | ~ topological_space(sF1,X0) ) ).

cnf(u7155,negated_conjecture,
    ( ~ subset_sets(f14(f13(X0,X1,X2,f11(X7,closure(X5,X3,X4))),X8,X9,X10),X1)
    | ~ subset_sets(X5,interior(X0,X1,X2))
    | ~ element_of_set(X6,closure(X5,X3,X4))
    | ~ closed(interior(X0,X1,X2),X3,X4)
    | ~ element_of_set(X11,f13(X0,X1,X2,f11(X7,closure(X5,X3,X4))))
    | element_of_set(X6,f10(X7,closure(X5,X3,X4),X6))
    | element_of_set(X11,interior(f14(f13(X0,X1,X2,f11(X7,closure(X5,X3,X4))),X8,X9,X10),X1,X2))
    | ~ closed(sF1,X8,X9)
    | ~ subset_sets(f13(X0,X1,X2,f11(X7,closure(X5,X3,X4))),sF1)
    | ~ subset_sets(f13(X0,X1,X2,f11(X7,closure(X5,X3,X4))),X8) ) ).

cnf(u7291,axiom,
    ( element_of_set(f7(sF0,X0),f1(ct,f7(sF0,X0)))
    | ~ topological_space(sF0,X0)
    | basis(sF0,X0) ) ).

cnf(u1684,negated_conjecture,
    ( element_of_set(f11(X4,f13(a,cx,ct,f7(closure(X2,X0,X1),X3))),sF0)
    | ~ subset_sets(X2,sF0)
    | basis(closure(X2,X0,X1),X3)
    | ~ topological_space(closure(X2,X0,X1),X3)
    | ~ closed(sF0,X0,X1)
    | element_of_collection(f13(a,cx,ct,f7(closure(X2,X0,X1),X3)),top_of_basis(X4)) ) ).

cnf(u7004,axiom,
    ( element_of_set(X0,f10(X3,f13(X1,X2,top_of_basis(X3),f11(X4,boundary(X5,X6,X7))),X0))
    | ~ element_of_set(X0,f13(X1,X2,top_of_basis(X3),f11(X4,boundary(X5,X6,X7))))
    | ~ subset_sets(X5,interior(X1,X2,top_of_basis(X3)))
    | element_of_collection(boundary(X5,X6,X7),top_of_basis(X4))
    | ~ closed(interior(X1,X2,top_of_basis(X3)),X6,X7) ) ).

cnf(separation_83,axiom,
    ( ~ separation(X0,X1,X2,X3)
    | ~ equal_sets(X1,empty_set) ) ).

cnf(u9052,negated_conjecture,
    ( element_of_set(f11(X2,interior(a,cx,X0)),interior(a,cx,X0))
    | element_of_set(X1,union_of_members(top_of_basis(X2)))
    | ~ element_of_set(X1,a)
    | ~ topological_space(cx,X0)
    | element_of_set(f11(X0,a),sF0) ) ).

cnf(u9690,negated_conjecture,
    ( element_of_set(X2,f10(X1,boundary(X0,cx,ct),X2))
    | ~ element_of_collection(sF0,X1)
    | ~ subset_sets(sF0,boundary(X0,cx,ct))
    | ~ element_of_set(X2,boundary(X0,cx,ct))
    | ~ subset_sets(X0,a) ) ).

cnf(u942,negated_conjecture,
    ( ~ element_of_collection(f13(a,cx,ct,f11(X0,sF0)),X1)
    | ~ topological_space(cx,X1)
    | ~ element_of_set(X2,f13(a,cx,ct,f11(X0,sF0)))
    | element_of_collection(sF0,top_of_basis(X0))
    | element_of_set(X2,interior(a,cx,X1)) ) ).

cnf(u3027,axiom,
    ( ~ closed(f13(X4,X5,X6,f19(closure(X0,X1,X2),X3)),X8,X9)
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ closed(interior(X4,X5,X6),X1,X2)
    | ~ subset_sets(X0,interior(X4,X5,X6))
    | element_of_set(f20(closure(X7,X8,X9),X10),interior(X4,X5,X6))
    | hausdorff(closure(X7,X8,X9),X10)
    | ~ subset_sets(X7,f13(X4,X5,X6,f19(closure(X0,X1,X2),X3)))
    | ~ topological_space(closure(X0,X1,X2),X3)
    | ~ topological_space(closure(X7,X8,X9),X10) ) ).

cnf(u8053,negated_conjecture,
    ( element_of_set(f11(X0,f13(a,cx,ct,f11(X1,sF0))),sF0)
    | element_of_set(X2,f10(X1,sF0,X2))
    | ~ element_of_set(X2,sF0)
    | element_of_collection(f13(a,cx,ct,f11(X1,sF0)),top_of_basis(X0)) ) ).

cnf(u1123,axiom,
    ( element_of_set(X0,intersection_of_members(subspace_topology(X1,X2,X3)))
    | subset_sets(X3,X1) ) ).

cnf(u645,axiom,
    ( ~ closed(interior(X4,X5,X6),X1,X2)
    | ~ subset_sets(X0,interior(X4,X5,X6))
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | subset_sets(X4,X5) ) ).

cnf(u1002,negated_conjecture,
    ( ~ element_of_set(X4,f13(a,cx,ct,f19(closure(X0,X1,X2),X3)))
    | ~ closed(sF0,X1,X2)
    | ~ subset_sets(X0,sF0)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | hausdorff(closure(X0,X1,X2),X3)
    | element_of_set(X4,sF0) ) ).

cnf(u1354,negated_conjecture,
    ( ~ element_of_set(X1,union_of_members(f5(X0,ct)))
    | ~ basis(X0,ct)
    | ~ element_of_collection(X0,ct)
    | topological_space(X0,ct)
    | element_of_set(X1,union_of_members(ct)) ) ).

cnf(limit_point_64,axiom,
    ( ~ limit_point(X0,X1,X2,X3)
    | subset_sets(X1,X2) ) ).

cnf(u6587,negated_conjecture,
    ( element_of_set(f11(X4,f13(a,cx,ct,f20(closure(X0,X1,X2),X3))),interior(a,sF0,ct))
    | ~ topological_space(closure(X0,X1,X2),X3)
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ subset_sets(X0,sF0)
    | ~ closed(sF0,X1,X2)
    | element_of_collection(f13(a,cx,ct,f20(closure(X0,X1,X2),X3)),top_of_basis(X4)) ) ).

cnf(u527,axiom,
    ( ~ open_covering(f24(X2,f24(X0,X1)),X0,X1)
    | compact_space(X0,X1)
    | ~ finite(f24(X2,f24(X0,X1)))
    | compact_space(X2,f24(X0,X1))
    | ~ topological_space(X2,f24(X0,X1)) ) ).

cnf(u7510,axiom,
    ( element_of_set(f11(X0,f13(X1,X2,X3,f20(interior(X1,X2,X3),X4))),interior(X1,X2,X3))
    | element_of_set(X5,f10(X0,f13(X1,X2,X3,f20(interior(X1,X2,X3),X4)),X5))
    | ~ topological_space(interior(X1,X2,X3),X4)
    | hausdorff(interior(X1,X2,X3),X4)
    | ~ element_of_set(X5,f13(X1,X2,X3,f20(interior(X1,X2,X3),X4))) ) ).

cnf(u773,axiom,
    ( element_of_set(f11(X0,closure(X1,X2,X3)),f1(X4,f11(X0,closure(X1,X2,X3))))
    | ~ closed(union_of_members(X4),X2,X3)
    | ~ subset_sets(X1,union_of_members(X4))
    | element_of_collection(closure(X1,X2,X3),top_of_basis(X0)) ) ).

cnf(u1685,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,f7(closure(X2,X0,X1),X3)),X6,X7)
    | ~ subset_sets(X2,sF0)
    | basis(closure(X2,X0,X1),X3)
    | ~ topological_space(closure(X2,X0,X1),X3)
    | element_of_set(f11(X4,closure(X5,X6,X7)),sF0)
    | element_of_collection(closure(X5,X6,X7),top_of_basis(X4))
    | ~ closed(sF0,X0,X1)
    | ~ subset_sets(X5,f13(a,cx,ct,f7(closure(X2,X0,X1),X3))) ) ).

cnf(u6994,axiom,
    ( element_of_set(X0,f10(X1,f1(top_of_basis(X1),f20(union_of_members(top_of_basis(X1)),X2)),X0))
    | ~ element_of_set(X0,f1(top_of_basis(X1),f20(union_of_members(top_of_basis(X1)),X2)))
    | hausdorff(union_of_members(top_of_basis(X1)),X2)
    | ~ topological_space(union_of_members(top_of_basis(X1)),X2) ) ).

cnf(u3926,negated_conjecture,
    ( element_of_set(f7(union_of_members(f24(X0,ct)),X1),union_of_members(ct))
    | ~ topological_space(X0,ct)
    | compact_space(X0,ct)
    | basis(union_of_members(f24(X0,ct)),X1)
    | ~ topological_space(union_of_members(f24(X0,ct)),X1) ) ).

cnf(u346,axiom,
    ( ~ topological_space(closure(X0,X1,X2),X3)
    | basis(closure(X0,X1,X2),X3)
    | subset_sets(X0,X1) ) ).

cnf(u7158,negated_conjecture,
    ( ~ subset_sets(f14(f13(X0,X1,X2,f11(X7,closure(X5,X3,X4))),cx,ct,X8),X1)
    | ~ subset_sets(X5,interior(X0,X1,X2))
    | ~ element_of_set(X6,closure(X5,X3,X4))
    | ~ closed(interior(X0,X1,X2),X3,X4)
    | ~ element_of_set(X9,f13(X0,X1,X2,f11(X7,closure(X5,X3,X4))))
    | element_of_set(X6,f10(X7,closure(X5,X3,X4),X6))
    | element_of_set(X9,interior(f14(f13(X0,X1,X2,f11(X7,closure(X5,X3,X4))),cx,ct,X8),X1,X2))
    | element_of_set(X8,f14(f13(X0,X1,X2,f11(X7,closure(X5,X3,X4))),cx,ct,X10))
    | ~ subset_sets(f13(X0,X1,X2,f11(X7,closure(X5,X3,X4))),a)
    | element_of_set(X10,a)
    | ~ subset_sets(f13(X0,X1,X2,f11(X7,closure(X5,X3,X4))),cx) ) ).

cnf(u1313,axiom,
    ( ~ element_of_set(X6,f12(X3,X4,X5,f16(X0,X1,X2,subspace_topology(X3,X4,X5))))
    | ~ topological_space(X2,subspace_topology(X3,X4,X5))
    | ~ subset_sets(X1,X2)
    | limit_point(X0,X1,X2,subspace_topology(X3,X4,X5))
    | element_of_set(X6,union_of_members(X4)) ) ).

cnf(u9939,axiom,
    ( element_of_set(f11(subspace_topology(X0,X1,X2),f13(a,cx,ct,f7(sF0,X3))),f13(a,cx,ct,f7(sF0,X3)))
    | topological_space(X0,X1)
    | ~ topological_space(sF0,X3)
    | basis(sF0,X3) ) ).

cnf(u636,negated_conjecture,
    ( ~ closed(f1(ct,X4),X1,X2)
    | ~ subset_sets(X0,f1(ct,X4))
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | ~ element_of_set(X4,cx)
    | element_of_set(f20(closure(X0,X1,X2),X3),union_of_members(ct)) ) ).

cnf(u11913,axiom,
    ( element_of_set(f11(X5,interior(X6,X7,X8)),interior(X6,X7,X8))
    | element_of_set(f15(X1,X4,X2,X3,X0),union_of_members(top_of_basis(X5)))
    | ~ neighborhood(X0,X1,X2,X3) ) ).

cnf(u7305,axiom,
    ( element_of_set(f19(f13(X4,X5,X6,f7(closure(X0,X1,X2),X3)),X7),interior(X4,X5,X6))
    | ~ topological_space(closure(X0,X1,X2),X3)
    | ~ closed(interior(X4,X5,X6),X1,X2)
    | ~ subset_sets(X0,interior(X4,X5,X6))
    | basis(closure(X0,X1,X2),X3)
    | ~ topological_space(f13(X4,X5,X6,f7(closure(X0,X1,X2),X3)),X7)
    | hausdorff(f13(X4,X5,X6,f7(closure(X0,X1,X2),X3)),X7) ) ).

cnf(u3860,negated_conjecture,
    ( element_of_set(X3,interior(a,cx,subspace_topology(X1,X2,f13(a,cx,ct,f7(sF0,X0)))))
    | basis(sF0,X0)
    | ~ topological_space(cx,subspace_topology(X1,X2,f13(a,cx,ct,f7(sF0,X0))))
    | ~ element_of_set(X3,f13(a,cx,ct,f7(sF0,X0)))
    | ~ topological_space(sF0,X0)
    | ~ compact_set(f13(a,cx,ct,f7(sF0,X0)),X1,X2) ) ).

cnf(u305,axiom,
    ( element_of_set(f19(union_of_members(X0),X1),f1(X0,f19(union_of_members(X0),X1)))
    | ~ topological_space(union_of_members(X0),X1)
    | hausdorff(union_of_members(X0),X1) ) ).

cnf(u1103,negated_conjecture,
    ( element_of_set(X5,interior(f14(f13(X0,X1,X2,f11(X3,sF1)),cx,ct,X4),X1,X2))
    | element_of_collection(sF1,top_of_basis(X3))
    | ~ subset_sets(f14(f13(X0,X1,X2,f11(X3,sF1)),cx,ct,X4),X1)
    | ~ element_of_set(X5,f13(X0,X1,X2,f11(X3,sF1)))
    | ~ closed(interior(X0,X1,X2),cx,ct)
    | ~ subset_sets(a,interior(X0,X1,X2))
    | ~ subset_sets(f13(X0,X1,X2,f11(X3,sF1)),a)
    | ~ subset_sets(f13(X0,X1,X2,f11(X3,sF1)),cx)
    | element_of_set(X4,a) ) ).

cnf(u10024,negated_conjecture,
    ( ~ topological_space(f13(a,cx,X3,X4),X5)
    | element_of_set(f11(subspace_topology(X0,X1,X2),interior(a,cx,X3)),interior(a,cx,X3))
    | ~ element_of_set(X4,a)
    | ~ topological_space(cx,X3)
    | element_of_set(f11(X3,a),a)
    | topological_space(X0,X1)
    | hausdorff(f13(a,cx,X3,X4),X5) ) ).

cnf(u1754,axiom,
    ( ~ element_of_set(X0,f1(top_of_basis(subspace_topology(X1,X2,X3)),X4))
    | subset_sets(X3,X1)
    | limit_point(X4,X5,X6,top_of_basis(subspace_topology(X1,X2,X3)))
    | ~ topological_space(X6,top_of_basis(subspace_topology(X1,X2,X3)))
    | ~ subset_sets(X5,X6) ) ).

cnf(u991,axiom,
    ( ~ subset_sets(X7,f13(X1,X2,X3,f19(closure(X0,X4,X5),X6)))
    | ~ closed(interior(X1,X2,X3),X4,X5)
    | ~ topological_space(closure(X0,X4,X5),X6)
    | hausdorff(closure(X0,X4,X5),X6)
    | ~ element_of_collection(X7,X8)
    | ~ topological_space(X1,X8)
    | ~ element_of_set(X9,X7)
    | ~ subset_sets(X0,interior(X1,X2,X3))
    | element_of_set(X9,interior(f13(X1,X2,X3,f19(closure(X0,X4,X5),X6)),X1,X8)) ) ).

cnf(u9400,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X0,X1,cx),a),sF0)
    | element_of_set(X2,f1(subspace_topology(X0,X1,cx),X2))
    | ~ element_of_set(X2,a)
    | ~ connected_set(cx,X0,X1) ) ).

cnf(u1237,negated_conjecture,
    ( element_of_set(X3,interior(a,cx,subspace_topology(X1,X2,f13(a,cx,ct,f19(sF0,X0)))))
    | ~ topological_space(sF0,X0)
    | ~ topological_space(cx,subspace_topology(X1,X2,f13(a,cx,ct,f19(sF0,X0))))
    | ~ element_of_set(X3,f13(a,cx,ct,f19(sF0,X0)))
    | hausdorff(sF0,X0)
    | ~ connected_set(f13(a,cx,ct,f19(sF0,X0)),X1,X2) ) ).

cnf(u9142,negated_conjecture,
    ( element_of_set(f11(X2,f13(a,cx,X0,X1)),f13(a,cx,X0,X1))
    | ~ element_of_set(X1,a)
    | ~ topological_space(cx,X0)
    | element_of_set(f11(X0,a),sF0)
    | element_of_set(X1,union_of_members(top_of_basis(X2))) ) ).

cnf(u5830,axiom,
    element_of_collection(X0,X1) ).

cnf(u1946,negated_conjecture,
    ( ~ closed(X1,cx,ct)
    | ~ element_of_set(X0,sF1)
    | element_of_set(X0,X1) ) ).

cnf(u9623,negated_conjecture,
    ( element_of_set(f20(f13(a,cx,X0,f11(subspace_topology(X2,X3,X1),interior(a,cx,X0))),X4),interior(a,cx,X0))
    | ~ topological_space(cx,X0)
    | subset_sets(X1,X2)
    | element_of_set(f11(X0,a),sF0)
    | ~ topological_space(f13(a,cx,X0,f11(subspace_topology(X2,X3,X1),interior(a,cx,X0))),X4)
    | hausdorff(f13(a,cx,X0,f11(subspace_topology(X2,X3,X1),interior(a,cx,X0))),X4) ) ).

cnf(u2555,axiom,
    ( element_of_set(f11(subspace_topology(X1,X2,X0),closure(X3,X4,X5)),X6)
    | element_of_collection(boundary(X3,X4,X5),top_of_basis(X7))
    | ~ closed(X6,X4,X5)
    | ~ subset_sets(X3,X6)
    | subset_sets(X0,X1) ) ).

cnf(connected_set_95,axiom,
    ( ~ connected_space(X0,subspace_topology(X1,X2,X0))
    | ~ topological_space(X1,X2)
    | ~ subset_sets(X0,X1)
    | connected_set(X0,X1,X2) ) ).

cnf(u3884,negated_conjecture,
    ( ~ subset_sets(a,f14(X0,cx,ct,f11(X4,f14(closure(X0,cx,ct),X1,X2,X3))))
    | ~ element_of_collection(closure(X0,cx,ct),X4)
    | ~ subset_sets(X0,cx)
    | element_of_set(X3,closure(closure(X0,cx,ct),X1,X2))
    | ~ subset_sets(closure(X0,cx,ct),X1)
    | ~ topological_space(X1,X2)
    | ~ element_of_set(X5,sF1)
    | element_of_collection(f14(closure(X0,cx,ct),X1,X2,X3),top_of_basis(X4))
    | element_of_set(f11(X6,sF1),f14(X0,cx,ct,f11(X4,f14(closure(X0,cx,ct),X1,X2,X3))))
    | element_of_set(X5,union_of_members(top_of_basis(X6))) ) ).

cnf(u5852,negated_conjecture,
    hausdorff(sF1,X0) ).

cnf(u11690,negated_conjecture,
    ( open(f13(a,a,X5,f15(X1,X4,X2,X3,X0)),a,X5)
    | ~ limit_point(X1,X4,X2,X3)
    | ~ neighborhood(X0,X1,X2,X3) ) ).

cnf(u4119,axiom,
    ( ~ closed(X3,X6,X7)
    | element_of_set(f11(subspace_topology(X1,X2,X0),X3),X3)
    | element_of_collection(boundary(X5,X6,X7),top_of_basis(X4))
    | subset_sets(X0,X1)
    | ~ subset_sets(X5,X3) ) ).

cnf(u938,negated_conjecture,
    ( element_of_set(f19(f13(a,cx,ct,f11(X0,sF0)),X1),sF0)
    | element_of_collection(sF0,top_of_basis(X0))
    | ~ topological_space(f13(a,cx,ct,f11(X0,sF0)),X1)
    | hausdorff(f13(a,cx,ct,f11(X0,sF0)),X1) ) ).

cnf(u3612,axiom,
    ( ~ closed(f14(X4,X5,X6,f11(X0,boundary(X1,X2,X3))),X2,X3)
    | element_of_collection(boundary(X1,X2,X3),top_of_basis(X0))
    | ~ subset_sets(X1,f14(X4,X5,X6,f11(X0,boundary(X1,X2,X3))))
    | ~ topological_space(X5,X6)
    | ~ subset_sets(X4,X5)
    | element_of_set(f11(X0,boundary(X1,X2,X3)),closure(X4,X5,X6)) ) ).

cnf(u11876,negated_conjecture,
    ( open(f13(a,sF0,X5,f15(X1,X4,X2,X3,X0)),sF0,X5)
    | ~ neighborhood(X0,X1,X2,X3) ) ).

cnf(u786,axiom,
    ( ~ closed(f13(a,cx,ct,X4),X2,X3)
    | element_of_collection(closure(X1,X2,X3),top_of_basis(X0))
    | ~ subset_sets(X1,f13(a,cx,ct,X4))
    | element_of_set(f11(X0,closure(X1,X2,X3)),union_of_members(ct))
    | ~ element_of_set(X4,sF0) ) ).

cnf(u641,axiom,
    ( element_of_set(f20(closure(X0,X1,X2),X3),f13(X4,X5,X6,f20(closure(X0,X1,X2),X3)))
    | ~ subset_sets(X0,interior(X4,X5,X6))
    | ~ closed(interior(X4,X5,X6),X1,X2)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | hausdorff(closure(X0,X1,X2),X3) ) ).

cnf(u1268,negated_conjecture,
    ( ~ subset_sets(f14(X2,cx,ct,X3),X1)
    | ~ subset_sets(X2,a)
    | element_of_set(X3,a)
    | ~ subset_sets(X2,cx)
    | element_of_collection(X1,top_of_basis(X0))
    | ~ element_of_collection(f14(X2,cx,ct,X3),X0)
    | closed(f14(X2,cx,ct,f11(X0,X1)),cx,ct) ) ).

cnf(u828,negated_conjecture,
    ( element_of_collection(f13(a,cx,ct,X0),top_of_basis(X1))
    | ~ element_of_set(X0,sF0)
    | ~ element_of_collection(sF0,X1)
    | ~ subset_sets(sF0,f13(a,cx,ct,X0)) ) ).

cnf(u8261,negated_conjecture,
    ( element_of_set(f11(X2,union_of_members(X1)),union_of_members(X1))
    | element_of_set(X0,union_of_members(top_of_basis(X2)))
    | ~ element_of_set(X0,a)
    | ~ topological_space(cx,X1)
    | element_of_set(f11(X1,a),a) ) ).

cnf(u815,negated_conjecture,
    ( ~ subset_sets(a,f14(X1,cx,ct,X2))
    | element_of_collection(sF1,top_of_basis(X0))
    | element_of_set(f11(X0,sF1),f14(X1,cx,ct,X2))
    | ~ subset_sets(X1,a)
    | ~ subset_sets(X1,cx)
    | element_of_set(X2,a) ) ).

cnf(u3814,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X0,X1,X2),sF1),sF1)
    | topological_space(X0,X1) ) ).

cnf(u1500,negated_conjecture,
    ( ~ basis(X0,ct)
    | topological_space(X0,ct)
    | ~ element_of_collection(X0,ct) ) ).

cnf(u7095,axiom,
    ( ~ closed(f13(closure(X1,X2,X3),X4,X5,f11(X6,boundary(X7,X8,X9))),X2,X3)
    | ~ element_of_set(X0,closure(X1,X2,X3))
    | ~ subset_sets(X1,f13(closure(X1,X2,X3),X4,X5,f11(X6,boundary(X7,X8,X9))))
    | ~ element_of_collection(f13(closure(X1,X2,X3),X4,X5,f11(X6,boundary(X7,X8,X9))),X10)
    | element_of_set(X0,f10(X10,closure(X1,X2,X3),X0))
    | ~ closed(interior(closure(X1,X2,X3),X4,X5),X8,X9)
    | ~ subset_sets(X7,interior(closure(X1,X2,X3),X4,X5))
    | element_of_collection(boundary(X7,X8,X9),top_of_basis(X6)) ) ).

cnf(u523,axiom,
    ( ~ equal_sets(f21(X0,X1),empty_set)
    | ~ topological_space(X0,X1)
    | connected_space(X0,X1) ) ).

cnf(u622,axiom,
    ( element_of_set(f20(relative_complement_sets(X0,X1),X2),union_of_members(X3))
    | ~ closed(X0,X1,X3)
    | ~ topological_space(relative_complement_sets(X0,X1),X2)
    | hausdorff(relative_complement_sets(X0,X1),X2) ) ).

cnf(u769,axiom,
    ( element_of_set(f11(X0,boundary(X1,X2,X3)),closure(X1,X2,X3))
    | element_of_collection(boundary(X1,X2,X3),top_of_basis(X0)) ) ).

cnf(u411,axiom,
    ( element_of_collection(f8(intersection_of_sets(X0,f12(X1,X2,X0,union_of_members(X3))),X3),X3)
    | basis(intersection_of_sets(X0,f12(X1,X2,X0,union_of_members(X3))),X3)
    | ~ element_of_collection(union_of_members(X3),subspace_topology(X1,X2,X0)) ) ).

cnf(u8050,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,f11(X5,sF0)),X1,X2)
    | ~ element_of_set(X4,sF0)
    | element_of_set(X4,f10(X5,sF0,X4))
    | ~ topological_space(closure(X0,X1,X2),X3)
    | ~ subset_sets(X0,f13(a,cx,ct,f11(X5,sF0)))
    | element_of_set(f7(closure(X0,X1,X2),X3),sF0)
    | basis(closure(X0,X1,X2),X3) ) ).

cnf(u10298,negated_conjecture,
    ( element_of_set(f11(X0,closure(X1,X2,X3)),interior(a,sF0,ct))
    | element_of_set(X4,f10(X0,closure(X1,X2,X3),X4))
    | ~ element_of_set(X4,closure(X1,X2,X3))
    | ~ closed(sF0,X2,X3) ) ).

cnf(u7224,axiom,
    ( ~ closed(f13(boundary(X0,X1,X2),X3,X4,f20(interior(boundary(X0,X1,X2),X3,X4),X5)),X1,X2)
    | ~ subset_sets(X0,f13(boundary(X0,X1,X2),X3,X4,f20(interior(boundary(X0,X1,X2),X3,X4),X5)))
    | ~ element_of_collection(f13(boundary(X0,X1,X2),X3,X4,f20(interior(boundary(X0,X1,X2),X3,X4),X5)),X6)
    | element_of_collection(boundary(X0,X1,X2),top_of_basis(X6))
    | hausdorff(interior(boundary(X0,X1,X2),X3,X4),X5)
    | ~ topological_space(interior(boundary(X0,X1,X2),X3,X4),X5) ) ).

cnf(u3836,axiom,
    ( element_of_collection(empty_set,subspace_topology(X1,X2,X0))
    | ~ compact_set(X0,X1,X2) ) ).

cnf(u1116,axiom,
    ( ~ closed(interior(X0,X1,subspace_topology(X2,X3,X4)),X5,X6)
    | ~ topological_space(closure(X7,X5,X6),X8)
    | hausdorff(closure(X7,X5,X6),X8)
    | ~ subset_sets(X7,interior(X0,X1,subspace_topology(X2,X3,X4)))
    | topological_space(X2,X3) ) ).

cnf(u758,negated_conjecture,
    ( element_of_set(f11(X0,f13(a,cx,ct,f19(sF0,X1))),sF0)
    | element_of_collection(f13(a,cx,ct,f19(sF0,X1)),top_of_basis(X0))
    | ~ topological_space(sF0,X1)
    | hausdorff(sF0,X1) ) ).

cnf(u4012,axiom,
    ( element_of_set(f11(X0,closure(X1,X2,X3)),closure(X1,X2,X3))
    | element_of_set(f19(boundary(X1,X2,X3),X4),union_of_members(top_of_basis(X0)))
    | hausdorff(boundary(X1,X2,X3),X4)
    | ~ topological_space(boundary(X1,X2,X3),X4) ) ).

cnf(u7245,axiom,
    ( element_of_set(f11(subspace_topology(X2,X3,X1),f13(a,cx,ct,f7(sF0,X0))),f13(a,cx,ct,f7(sF0,X0)))
    | basis(sF0,X0)
    | subset_sets(X1,X2)
    | ~ topological_space(sF0,X0) ) ).

cnf(u9191,negated_conjecture,
    ( ~ topological_space(cx,X1)
    | element_of_set(f11(X1,a),sF0)
    | ~ element_of_set(X0,a)
    | element_of_collection(f1(X1,X0),X1) ) ).

cnf(u189,axiom,
    ( ~ element_of_collection(relative_complement_sets(X2,X0),X1)
    | closed(X2,X0,X1)
    | ~ topological_space(X0,X1) ) ).

cnf(u4043,axiom,
    ( element_of_set(f20(f13(X4,X5,X6,f11(X3,closure(X0,X1,X2))),X7),interior(X4,X5,X6))
    | ~ subset_sets(X0,interior(X4,X5,X6))
    | ~ closed(interior(X4,X5,X6),X1,X2)
    | element_of_collection(closure(X0,X1,X2),top_of_basis(X3))
    | ~ topological_space(f13(X4,X5,X6,f11(X3,closure(X0,X1,X2))),X7)
    | hausdorff(f13(X4,X5,X6,f11(X3,closure(X0,X1,X2))),X7) ) ).

cnf(u1451,negated_conjecture,
    ( element_of_set(X2,interior(f14(f13(a,cx,ct,f11(X0,sF0)),cx,ct,X1),cx,ct))
    | ~ element_of_set(X2,f13(a,cx,ct,f11(X0,sF0)))
    | element_of_collection(sF0,top_of_basis(X0))
    | ~ subset_sets(f14(f13(a,cx,ct,f11(X0,sF0)),cx,ct,X1),cx)
    | ~ subset_sets(f13(a,cx,ct,f11(X0,sF0)),cx)
    | element_of_set(X1,a) ) ).

cnf(u6817,negated_conjecture,
    ( subset_sets(X0,f14(X0,X1,X2,X3))
    | ~ closed(sF1,X1,X2)
    | ~ subset_sets(X0,sF1)
    | ~ subset_sets(X0,X1) ) ).

cnf(u10498,negated_conjecture,
    ( open(f13(a,cx,X1,X0),cx,X1)
    | ~ element_of_set(X0,a) ) ).

cnf(u1398,negated_conjecture,
    ( element_of_set(X4,interior(f14(f13(a,cx,ct,f7(sF0,X0)),X1,X2,X3),cx,ct))
    | ~ subset_sets(f14(f13(a,cx,ct,f7(sF0,X0)),X1,X2,X3),cx)
    | ~ element_of_set(X4,f13(a,cx,ct,f7(sF0,X0)))
    | ~ topological_space(sF0,X0)
    | basis(sF0,X0)
    | element_of_set(X3,closure(f13(a,cx,ct,f7(sF0,X0)),X1,X2))
    | ~ subset_sets(f13(a,cx,ct,f7(sF0,X0)),X1)
    | ~ topological_space(X1,X2) ) ).

cnf(u652,axiom,
    ( closed(f14(relative_complement_sets(X4,X5),X5,X6,f20(closure(X0,X1,X2),X3)),X5,X6)
    | ~ subset_sets(X0,closure(X4,X5,X6))
    | ~ closed(closure(X4,X5,X6),X1,X2)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | element_of_set(f20(closure(X0,X1,X2),X3),boundary(X4,X5,X6))
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ subset_sets(relative_complement_sets(X4,X5),X5) ) ).

cnf(u1670,axiom,
    ( ~ element_of_collection(f13(f13(a,cx,ct,X1),X2,X3,f7(closure(X0,X4,X5),X6)),X7)
    | ~ closed(interior(f13(a,cx,ct,X1),X2,X3),X4,X5)
    | basis(closure(X0,X4,X5),X6)
    | ~ topological_space(closure(X0,X4,X5),X6)
    | ~ topological_space(a,X7)
    | ~ element_of_set(X8,f13(f13(a,cx,ct,X1),X2,X3,f7(closure(X0,X4,X5),X6)))
    | ~ subset_sets(X0,interior(f13(a,cx,ct,X1),X2,X3))
    | element_of_set(X8,interior(f13(a,cx,ct,X1),a,X7))
    | ~ element_of_set(X1,sF0) ) ).

cnf(u317,axiom,
    ( ~ topological_space(X2,subspace_topology(X1,X3,X0))
    | connected_space(X2,subspace_topology(X1,X3,X0))
    | subset_sets(X0,X1) ) ).

cnf(u7333,axiom,
    ( ~ element_of_set(X8,f13(X0,X1,top_of_basis(X2),f11(X3,closure(X4,X5,X6))))
    | ~ subset_sets(X4,interior(X0,X1,top_of_basis(X2)))
    | ~ element_of_set(X7,closure(X4,X5,X6))
    | ~ closed(interior(X0,X1,top_of_basis(X2)),X5,X6)
    | element_of_set(X7,f10(X3,closure(X4,X5,X6),X7))
    | element_of_set(X8,f10(X2,f13(X0,X1,top_of_basis(X2),f11(X3,closure(X4,X5,X6))),X8)) ) ).

cnf(u1101,axiom,
    ( ~ subset_sets(f14(f13(X0,X1,X2,f11(X3,sF1)),X4,X5,X6),X1)
    | element_of_collection(sF1,top_of_basis(X3))
    | ~ subset_sets(a,interior(X0,X1,X2))
    | ~ element_of_set(X7,f13(X0,X1,X2,f11(X3,sF1)))
    | ~ closed(interior(X0,X1,X2),cx,ct)
    | element_of_set(X7,interior(f14(f13(X0,X1,X2,f11(X3,sF1)),X4,X5,X6),X1,X2))
    | element_of_set(X6,closure(f13(X0,X1,X2,f11(X3,sF1)),X4,X5))
    | ~ subset_sets(f13(X0,X1,X2,f11(X3,sF1)),X4)
    | ~ topological_space(X4,X5) ) ).

cnf(u987,axiom,
    ( ~ closed(interior(X0,X1,X2),cx,ct)
    | ~ subset_sets(a,interior(X0,X1,X2))
    | open(f13(X0,X1,X2,f19(sF1,X3)),X1,X2)
    | ~ topological_space(sF1,X3)
    | hausdorff(sF1,X3) ) ).

cnf(u7059,axiom,
    ( ~ closed(f13(X4,X5,X6,f19(closure(X7,X8,X9),X10)),X2,X3)
    | ~ element_of_set(X11,closure(X1,X2,X3))
    | element_of_set(X11,f10(X0,closure(X1,X2,X3),X11))
    | ~ subset_sets(X1,f13(X4,X5,X6,f19(closure(X7,X8,X9),X10)))
    | ~ topological_space(closure(X7,X8,X9),X10)
    | hausdorff(closure(X7,X8,X9),X10)
    | ~ closed(interior(X4,X5,X6),X8,X9)
    | ~ subset_sets(X7,interior(X4,X5,X6))
    | element_of_set(f11(X0,closure(X1,X2,X3)),interior(X4,X5,X6)) ) ).

cnf(u9955,axiom,
    ( element_of_set(f11(subspace_topology(X0,X1,X2),closure(X3,X4,X5)),closure(X3,X4,X5))
    | element_of_collection(boundary(X3,X4,X5),top_of_basis(X6))
    | topological_space(X0,X1) ) ).

cnf(u6927,axiom,
    ( ~ topological_space(union_of_members(subspace_topology(X0,X1,X2)),X3)
    | hausdorff(union_of_members(subspace_topology(X0,X1,X2)),X3)
    | topological_space(X0,X1) ) ).

cnf(u4006,negated_conjecture,
    ( element_of_set(f19(f13(a,cx,ct,f7(sF0,X1)),X2),union_of_members(top_of_basis(X0)))
    | element_of_set(f11(X0,sF0),sF0)
    | basis(sF0,X1)
    | ~ topological_space(sF0,X1)
    | ~ topological_space(f13(a,cx,ct,f7(sF0,X1)),X2)
    | hausdorff(f13(a,cx,ct,f7(sF0,X1)),X2) ) ).

cnf(u593,negated_conjecture,
    ( subset_sets(f13(f14(X0,cx,ct,X1),X2,X3,f20(interior(f14(X0,cx,ct,X1),X2,X3),X4)),f14(f13(f14(X0,cx,ct,X1),X2,X3,f20(interior(f14(X0,cx,ct,X1),X2,X3),X4)),cx,ct,X5))
    | element_of_set(X1,a)
    | ~ subset_sets(f13(f14(X0,cx,ct,X1),X2,X3,f20(interior(f14(X0,cx,ct,X1),X2,X3),X4)),cx)
    | ~ subset_sets(X0,a)
    | ~ subset_sets(X0,cx)
    | element_of_set(X5,f14(X0,cx,ct,X1))
    | hausdorff(interior(f14(X0,cx,ct,X1),X2,X3),X4)
    | ~ topological_space(interior(f14(X0,cx,ct,X1),X2,X3),X4) ) ).

cnf(u4108,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X1,X2,X0),f14(X3,cx,ct,X4)),f14(X3,cx,ct,X4))
    | closed(f14(X3,cx,ct,X5),cx,ct)
    | subset_sets(X0,X1)
    | ~ subset_sets(X3,a)
    | element_of_set(X4,a)
    | ~ subset_sets(X3,cx) ) ).

cnf(u6661,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,f11(X3,closure(X0,X1,X2))),X6,X7)
    | element_of_set(f11(X4,closure(X5,X6,X7)),interior(a,sF0,ct))
    | ~ closed(sF0,X1,X2)
    | ~ subset_sets(X0,sF0)
    | element_of_collection(closure(X5,X6,X7),top_of_basis(X4))
    | element_of_collection(closure(X0,X1,X2),top_of_basis(X3))
    | ~ subset_sets(X5,f13(a,cx,ct,f11(X3,closure(X0,X1,X2)))) ) ).

cnf(u155,negated_conjecture,
    element_of_collection(cx,ct) ).

cnf(u3837,axiom,
    ( element_of_collection(X0,subspace_topology(X1,X2,X0))
    | ~ compact_set(X0,X1,X2) ) ).

cnf(u277,axiom,
    ( ~ element_of_set(f20(closure(relative_complement_sets(X0,X1),X1,X2),X3),closure(X0,X1,X2))
    | hausdorff(closure(relative_complement_sets(X0,X1),X1,X2),X3)
    | ~ topological_space(closure(relative_complement_sets(X0,X1),X1,X2),X3)
    | element_of_set(f20(closure(relative_complement_sets(X0,X1),X1,X2),X3),boundary(X0,X1,X2)) ) ).

cnf(u1208,axiom,
    ( ~ disjoint_s(f16(f19(X0,X1),X2,X0,X1),X3)
    | hausdorff(X0,X1)
    | ~ open(X3,X0,X1)
    | ~ element_of_set(f20(X0,X1),X3)
    | ~ subset_sets(X2,X0)
    | limit_point(f19(X0,X1),X2,X0,X1) ) ).

cnf(u950,negated_conjecture,
    ( ~ closed(f1(ct,X4),X1,X2)
    | ~ subset_sets(X0,f1(ct,X4))
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | ~ element_of_set(X4,cx)
    | element_of_set(f19(closure(X0,X1,X2),X3),union_of_members(ct)) ) ).

cnf(u9853,negated_conjecture,
    ( ~ subset_sets(f13(a,cx,X0,f19(f13(a,cx,X0,X1),X2)),X3)
    | element_of_set(f11(X0,a),a)
    | ~ topological_space(f13(a,cx,X0,X1),X2)
    | hausdorff(f13(a,cx,X0,X1),X2)
    | ~ element_of_set(X1,a)
    | ~ subset_sets(X3,cx)
    | ~ element_of_set(X4,f13(a,cx,X0,f19(f13(a,cx,X0,X1),X2)))
    | ~ topological_space(cx,X0)
    | element_of_set(X4,interior(X3,cx,X0)) ) ).

cnf(u6828,negated_conjecture,
    ( element_of_set(X7,interior(f14(f13(X2,X3,X4,f7(interior(X2,X3,X4),X5)),X0,X1,X6),X3,X4))
    | ~ subset_sets(f13(X2,X3,X4,f7(interior(X2,X3,X4),X5)),sF1)
    | ~ subset_sets(f13(X2,X3,X4,f7(interior(X2,X3,X4),X5)),X0)
    | basis(interior(X2,X3,X4),X5)
    | ~ subset_sets(f14(f13(X2,X3,X4,f7(interior(X2,X3,X4),X5)),X0,X1,X6),X3)
    | ~ element_of_set(X7,f13(X2,X3,X4,f7(interior(X2,X3,X4),X5)))
    | ~ topological_space(interior(X2,X3,X4),X5)
    | ~ closed(sF1,X0,X1) ) ).

cnf(u1222,axiom,
    ( basis(interior(X0,X1,X2),subspace_topology(X3,X4,interior(X0,X1,X2)))
    | ~ connected_set(interior(X0,X1,X2),X3,X4)
    | subset_sets(X0,X1) ) ).

cnf(u8133,negated_conjecture,
    ( element_of_set(f20(f13(a,cx,ct,X0),X1),union_of_members(top_of_basis(X2)))
    | ~ topological_space(f13(a,cx,ct,X0),X1)
    | hausdorff(f13(a,cx,ct,X0),X1)
    | element_of_set(f11(X2,sF0),sF0)
    | ~ element_of_set(X0,a) ) ).

cnf(u1633,axiom,
    ( ~ closed(f13(X4,X5,X6,f20(interior(X4,X5,X6),X7)),X1,X2)
    | ~ subset_sets(X0,f13(X4,X5,X6,f20(interior(X4,X5,X6),X7)))
    | ~ topological_space(closure(X0,X1,X2),X3)
    | basis(closure(X0,X1,X2),X3)
    | ~ topological_space(interior(X4,X5,X6),X7)
    | hausdorff(interior(X4,X5,X6),X7)
    | element_of_set(f7(closure(X0,X1,X2),X3),interior(X4,X5,X6)) ) ).

cnf(u291,axiom,
    ( element_of_set(f19(boundary(X0,X1,X2),X3),closure(X0,X1,X2))
    | hausdorff(boundary(X0,X1,X2),X3)
    | ~ topological_space(boundary(X0,X1,X2),X3) ) ).

cnf(u653,axiom,
    ( ~ closed(closure(X4,X5,X6),X1,X2)
    | ~ subset_sets(X0,closure(X4,X5,X6))
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | topological_space(X5,X6) ) ).

cnf(u10613,axiom,
    ( element_of_set(f19(relative_complement_sets(a,cx),X0),interior(cx,cx,X1))
    | ~ closed(a,cx,X1)
    | hausdorff(relative_complement_sets(a,cx),X0) ) ).

cnf(u1362,axiom,
    ( element_of_collection(f6(X4,X6,f19(closure(X0,X1,X2),X3),X5,X7),X6)
    | ~ element_of_collection(X5,X6)
    | ~ element_of_collection(X7,X6)
    | ~ basis(X4,X6)
    | ~ element_of_set(f19(closure(X0,X1,X2),X3),X4)
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ subset_sets(X0,intersection_of_sets(X5,X7))
    | ~ closed(intersection_of_sets(X5,X7),X1,X2)
    | ~ topological_space(closure(X0,X1,X2),X3) ) ).

cnf(u3890,negated_conjecture,
    ( ~ subset_sets(a,f14(a,cx,ct,f11(X3,f14(sF1,X0,X1,X2))))
    | ~ element_of_collection(sF1,X3)
    | element_of_set(X2,closure(sF1,X0,X1))
    | ~ subset_sets(sF1,X0)
    | ~ topological_space(X0,X1)
    | element_of_collection(f14(sF1,X0,X1,X2),top_of_basis(X3))
    | ~ element_of_set(X4,sF1)
    | element_of_set(X4,f14(a,cx,ct,f11(X3,f14(sF1,X0,X1,X2)))) ) ).

cnf(boundary_72,axiom,
    ( ~ element_of_set(X0,closure(relative_complement_sets(X1,X2),X2,X3))
    | ~ topological_space(X2,X3)
    | ~ element_of_set(X0,closure(X1,X2,X3))
    | element_of_set(X0,boundary(X1,X2,X3)) ) ).

cnf(u1762,axiom,
    ( ~ element_of_set(X0,f13(X1,X2,top_of_basis(subspace_topology(X3,X4,X5)),f20(interior(X1,X2,top_of_basis(subspace_topology(X3,X4,X5))),X6)))
    | subset_sets(X5,X3)
    | ~ topological_space(interior(X1,X2,top_of_basis(subspace_topology(X3,X4,X5))),X6)
    | hausdorff(interior(X1,X2,top_of_basis(subspace_topology(X3,X4,X5))),X6) ) ).

cnf(u11452,axiom,
    ( element_of_set(f7(interior(X0,X1,X2),X3),interior(X4,X5,X6))
    | basis(interior(X0,X1,X2),X3) ) ).

cnf(u4096,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X1,X2,X0),f1(top_of_basis(X3),X4)),f1(top_of_basis(X3),X4))
    | subset_sets(X0,X1)
    | element_of_set(f11(X3,sF1),sF1)
    | ~ element_of_set(X4,sF1) ) ).

cnf(u1193,axiom,
    ( element_of_set(f20(f22(X0,X1),X2),union_of_members(X1))
    | connected_space(X0,X1)
    | ~ topological_space(X0,X1)
    | ~ topological_space(f22(X0,X1),X2)
    | hausdorff(f22(X0,X1),X2) ) ).

cnf(u781,axiom,
    ( element_of_set(f11(X0,closure(X1,X2,X3)),f13(X4,X5,X6,f11(X0,closure(X1,X2,X3))))
    | ~ closed(interior(X4,X5,X6),X2,X3)
    | ~ subset_sets(X1,interior(X4,X5,X6))
    | element_of_collection(closure(X1,X2,X3),top_of_basis(X0)) ) ).

cnf(u7209,axiom,
    ( ~ element_of_set(X4,f1(top_of_basis(subspace_topology(X0,X1,X2)),f19(union_of_members(top_of_basis(subspace_topology(X0,X1,X2))),X3)))
    | ~ topological_space(union_of_members(top_of_basis(subspace_topology(X0,X1,X2))),X3)
    | hausdorff(union_of_members(top_of_basis(subspace_topology(X0,X1,X2))),X3)
    | topological_space(X0,X1) ) ).

cnf(u1693,axiom,
    ( element_of_collection(f13(X1,X2,X3,f7(closure(X0,X4,X5),X6)),X3)
    | ~ closed(interior(X1,X2,X3),X4,X5)
    | basis(closure(X0,X4,X5),X6)
    | ~ topological_space(closure(X0,X4,X5),X6)
    | ~ subset_sets(X0,interior(X1,X2,X3)) ) ).

cnf(u7279,axiom,
    ( element_of_set(f7(f13(a,cx,ct,f7(sF0,X0)),X1),union_of_members(ct))
    | basis(sF0,X0)
    | ~ topological_space(sF0,X0)
    | basis(f13(a,cx,ct,f7(sF0,X0)),X1)
    | ~ topological_space(f13(a,cx,ct,f7(sF0,X0)),X1) ) ).

cnf(u354,axiom,
    ( ~ subset_sets(X4,f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)))
    | ~ topological_space(interior(X0,X1,X2),X3)
    | ~ element_of_collection(X4,X5)
    | ~ topological_space(X0,X5)
    | ~ element_of_set(X6,X4)
    | hausdorff(interior(X0,X1,X2),X3)
    | element_of_set(X6,interior(f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),X0,X5)) ) ).

cnf(u900,negated_conjecture,
    ( element_of_set(f19(f13(a,cx,ct,f11(X3,closure(X0,X1,X2))),X4),sF0)
    | ~ closed(sF0,X1,X2)
    | element_of_collection(closure(X0,X1,X2),top_of_basis(X3))
    | ~ subset_sets(X0,sF0)
    | ~ topological_space(f13(a,cx,ct,f11(X3,closure(X0,X1,X2))),X4)
    | hausdorff(f13(a,cx,ct,f11(X3,closure(X0,X1,X2))),X4) ) ).

cnf(u3160,axiom,
    ( element_of_set(f11(subspace_topology(X1,X2,X0),closure(X3,X4,X5)),X6)
    | closed(f14(X3,X4,X5,X7),X4,X5)
    | ~ closed(X6,X4,X5)
    | ~ subset_sets(X3,X6)
    | subset_sets(X0,X1)
    | ~ subset_sets(X3,X4) ) ).

cnf(u754,axiom,
    ( subset_sets(f13(X1,X2,X3,f11(X0,interior(X1,X2,X3))),X1)
    | element_of_collection(interior(X1,X2,X3),top_of_basis(X0)) ) ).

cnf(u8268,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X0,X1,cx),a),a)
    | element_of_set(X2,f1(subspace_topology(X0,X1,cx),X2))
    | ~ element_of_set(X2,a)
    | ~ compact_set(cx,X0,X1) ) ).

cnf(u9713,negated_conjecture,
    ( element_of_collection(f1(top_of_basis(X1),f11(X0,a)),top_of_basis(X1))
    | element_of_set(X2,interior(a,cx,X0))
    | element_of_set(f11(X1,a),a)
    | ~ topological_space(cx,X0)
    | ~ element_of_set(X2,a) ) ).

cnf(u3510,axiom,
    ( ~ element_of_collection(f13(union_of_members(ct),X2,X3,f11(X4,interior(union_of_members(ct),X2,X3))),X0)
    | ~ element_of_set(X1,f13(union_of_members(ct),X2,X3,f11(X4,interior(union_of_members(ct),X2,X3))))
    | ~ topological_space(sF0,X0)
    | element_of_set(X1,interior(union_of_members(ct),sF0,X0))
    | element_of_collection(interior(union_of_members(ct),X2,X3),top_of_basis(X4)) ) ).

cnf(u3623,axiom,
    ( ~ element_of_set(f11(X0,boundary(X1,X2,X3)),closure(X4,X5,X6))
    | ~ closed(closure(relative_complement_sets(X4,X5),X5,X6),X2,X3)
    | ~ subset_sets(X1,closure(relative_complement_sets(X4,X5),X5,X6))
    | element_of_collection(boundary(X1,X2,X3),top_of_basis(X0))
    | element_of_set(f11(X0,boundary(X1,X2,X3)),boundary(X4,X5,X6)) ) ).

cnf(u185,negated_conjecture,
    ( ~ element_of_set(X0,f13(a,cx,ct,X1))
    | element_of_set(X0,sF0)
    | ~ element_of_set(X1,sF0) ) ).

cnf(u10010,axiom,
    ( element_of_set(f11(subspace_topology(X0,X1,X2),f13(X3,X4,X5,f19(closure(X6,X7,X8),X9))),f13(X3,X4,X5,f19(closure(X6,X7,X8),X9)))
    | topological_space(X0,X1)
    | ~ subset_sets(X6,interior(X3,X4,X5))
    | ~ closed(interior(X3,X4,X5),X7,X8)
    | ~ topological_space(closure(X6,X7,X8),X9)
    | hausdorff(closure(X6,X7,X8),X9) ) ).

cnf(u3511,axiom,
    ( ~ element_of_collection(f13(union_of_members(ct),X2,X3,f19(interior(union_of_members(ct),X2,X3),X4)),X0)
    | ~ element_of_set(X1,f13(union_of_members(ct),X2,X3,f19(interior(union_of_members(ct),X2,X3),X4)))
    | ~ topological_space(sF0,X0)
    | element_of_set(X1,interior(union_of_members(ct),sF0,X0))
    | hausdorff(interior(union_of_members(ct),X2,X3),X4)
    | ~ topological_space(interior(union_of_members(ct),X2,X3),X4) ) ).

cnf(u6926,axiom,
    ( element_of_collection(f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),f20(union_of_members(subspace_topology(X0,X1,X2)),X3))),X1)
    | ~ topological_space(union_of_members(subspace_topology(X0,X1,X2)),X3)
    | hausdorff(union_of_members(subspace_topology(X0,X1,X2)),X3) ) ).

cnf(u516,axiom,
    ( element_of_set(f20(f1(ct,X0),X1),union_of_members(ct))
    | ~ element_of_set(X0,sF0)
    | ~ topological_space(f1(ct,X0),X1)
    | hausdorff(f1(ct,X0),X1) ) ).

cnf(u6031,negated_conjecture,
    element_of_collection(sF0,ct) ).

cnf(u3714,axiom,
    ( ~ element_of_set(X0,f13(X1,X2,top_of_basis(subspace_topology(X3,X4,X5)),f20(interior(X1,X2,top_of_basis(subspace_topology(X3,X4,X5))),X6)))
    | topological_space(X3,X4)
    | ~ topological_space(interior(X1,X2,top_of_basis(subspace_topology(X3,X4,X5))),X6)
    | hausdorff(interior(X1,X2,top_of_basis(subspace_topology(X3,X4,X5))),X6) ) ).

cnf(u8175,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X2,X3,X1),f10(ct,a,X0)),f10(ct,a,X0))
    | subset_sets(X1,X2)
    | ~ element_of_set(X0,a) ) ).

cnf(u313,axiom,
    ( ~ element_of_set(X1,f1(ct,X0))
    | ~ element_of_set(X0,sF0)
    | element_of_set(X1,union_of_members(ct)) ) ).

cnf(u6986,axiom,
    ( element_of_set(X0,f10(X4,boundary(X1,X2,X3),X0))
    | element_of_set(f11(X4,boundary(X1,X2,X3)),X5)
    | ~ element_of_set(X0,boundary(X1,X2,X3))
    | ~ closed(X5,X2,X3)
    | ~ subset_sets(X1,X5) ) ).

cnf(u9824,axiom,
    ( element_of_collection(f12(X2,X3,X4,f13(X0,X1,subspace_topology(X2,X3,X4),f7(closure(X7,X5,X6),X8))),X3)
    | basis(closure(X7,X5,X6),X8)
    | ~ topological_space(closure(X7,X5,X6),X8)
    | ~ subset_sets(X7,interior(X0,X1,subspace_topology(X2,X3,X4)))
    | ~ closed(interior(X0,X1,subspace_topology(X2,X3,X4)),X5,X6) ) ).

cnf(u9643,negated_conjecture,
    ( element_of_set(X7,interior(f14(f13(a,cx,X0,f11(subspace_topology(X1,X2,X3),interior(a,cx,X0))),X4,X5,X6),cx,X0))
    | ~ topological_space(cx,X0)
    | ~ subset_sets(f14(f13(a,cx,X0,f11(subspace_topology(X1,X2,X3),interior(a,cx,X0))),X4,X5,X6),cx)
    | ~ element_of_set(X7,f13(a,cx,X0,f11(subspace_topology(X1,X2,X3),interior(a,cx,X0))))
    | subset_sets(X3,X1)
    | element_of_set(f11(X0,a),sF0)
    | element_of_set(X6,closure(f13(a,cx,X0,f11(subspace_topology(X1,X2,X3),interior(a,cx,X0))),X4,X5))
    | ~ subset_sets(f13(a,cx,X0,f11(subspace_topology(X1,X2,X3),interior(a,cx,X0))),X4)
    | ~ topological_space(X4,X5) ) ).

cnf(u1556,axiom,
    ( ~ element_of_set(X7,f13(X1,X2,X3,f11(X6,closure(X0,X4,X5))))
    | element_of_collection(closure(X0,X4,X5),top_of_basis(X6))
    | ~ closed(interior(X1,X2,X3),X4,X5)
    | ~ subset_sets(X0,interior(X1,X2,X3))
    | element_of_set(X7,union_of_members(X3)) ) ).

cnf(u174,axiom,
    ( ~ topological_space(f14(X2,X3,X4,X5),X1)
    | ~ element_of_collection(X0,X1)
    | ~ element_of_set(X6,X0)
    | ~ subset_sets(X0,X2)
    | element_of_set(X6,interior(X2,f14(X2,X3,X4,X5),X1))
    | element_of_set(X5,closure(X2,X3,X4))
    | ~ subset_sets(X2,X3)
    | ~ topological_space(X3,X4) ) ).

cnf(u9478,negated_conjecture,
    ( ~ closed(f13(a,cx,X1,X0),X4,X5)
    | ~ topological_space(cx,X1)
    | element_of_set(f11(X1,a),sF0)
    | element_of_set(f11(X2,closure(X3,X4,X5)),union_of_members(X1))
    | element_of_collection(closure(X3,X4,X5),top_of_basis(X2))
    | ~ element_of_set(X0,a)
    | ~ subset_sets(X3,f13(a,cx,X1,X0)) ) ).

cnf(u7145,axiom,
    ( element_of_set(f11(X8,f10(X1,closure(X2,X3,X4),X0)),f10(X1,closure(X2,X3,X4),X0))
    | open(f13(X5,X6,X7,f11(X1,closure(X2,X3,X4))),X6,X7)
    | ~ subset_sets(X2,interior(X5,X6,X7))
    | ~ element_of_set(X0,closure(X2,X3,X4))
    | ~ closed(interior(X5,X6,X7),X3,X4)
    | element_of_set(X0,union_of_members(top_of_basis(X8))) ) ).

cnf(u10860,negated_conjecture,
    ( element_of_set(X0,interior(a,a,X1))
    | limit_point(X0,X2,X3,X4) ) ).

cnf(u3934,negated_conjecture,
    ( ~ closed(union_of_members(f24(X0,ct)),X2,X3)
    | ~ topological_space(X0,ct)
    | element_of_set(f20(closure(X1,X2,X3),X4),union_of_members(ct))
    | hausdorff(closure(X1,X2,X3),X4)
    | ~ subset_sets(X1,union_of_members(f24(X0,ct)))
    | compact_space(X0,ct)
    | ~ topological_space(closure(X1,X2,X3),X4) ) ).

cnf(u9196,negated_conjecture,
    ( ~ element_of_set(f11(X0,X1),a)
    | ~ topological_space(cx,X2)
    | element_of_set(f11(X2,a),sF0)
    | element_of_collection(X1,top_of_basis(X0))
    | ~ element_of_collection(union_of_members(X2),X0)
    | ~ subset_sets(union_of_members(X2),X1) ) ).

cnf(u3849,negated_conjecture,
    ( ~ element_of_collection(X4,subspace_topology(X2,X3,f14(X0,cx,ct,X1)))
    | ~ subset_sets(X0,cx)
    | element_of_set(X1,a)
    | ~ compact_set(f14(X0,cx,ct,X1),X2,X3)
    | ~ subset_sets(X0,a)
    | ~ element_of_set(X5,X4)
    | ~ subset_sets(X4,X0)
    | element_of_set(X5,interior(X0,f14(X0,cx,ct,X1),subspace_topology(X2,X3,f14(X0,cx,ct,X1)))) ) ).

cnf(u4015,negated_conjecture,
    ( element_of_set(f11(X0,f14(a,cx,ct,X1)),f14(a,cx,ct,X1))
    | element_of_set(f19(sF1,X2),union_of_members(top_of_basis(X0)))
    | hausdorff(sF1,X2)
    | element_of_set(X1,sF1)
    | ~ topological_space(sF1,X2) ) ).

cnf(u7292,axiom,
    ( element_of_collection(f1(ct,f7(sF0,X0)),ct)
    | ~ topological_space(sF0,X0)
    | basis(sF0,X0) ) ).

cnf(u3008,axiom,
    ( element_of_set(f20(closure(X0,X1,X2),subspace_topology(X3,X4,closure(X0,X1,X2))),X5)
    | hausdorff(closure(X0,X1,X2),subspace_topology(X3,X4,closure(X0,X1,X2)))
    | ~ closed(sF1,X1,X2)
    | ~ subset_sets(a,X5)
    | ~ closed(X5,cx,ct)
    | ~ subset_sets(X0,sF1)
    | ~ connected_set(closure(X0,X1,X2),X3,X4) ) ).

cnf(u649,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,f20(sF0,X4)),X1,X2)
    | ~ subset_sets(X0,f13(a,cx,ct,f20(sF0,X4)))
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | element_of_set(f20(closure(X0,X1,X2),X3),sF0)
    | ~ topological_space(sF0,X4)
    | hausdorff(sF0,X4) ) ).

cnf(u1727,axiom,
    ( ~ closed(f13(X4,X5,X6,f20(closure(X0,X1,X2),X3)),X8,X9)
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ closed(interior(X4,X5,X6),X1,X2)
    | ~ subset_sets(X0,interior(X4,X5,X6))
    | element_of_set(f20(closure(X7,X8,X9),X10),interior(X4,X5,X6))
    | hausdorff(closure(X7,X8,X9),X10)
    | ~ subset_sets(X7,f13(X4,X5,X6,f20(closure(X0,X1,X2),X3)))
    | ~ topological_space(closure(X0,X1,X2),X3)
    | ~ topological_space(closure(X7,X8,X9),X10) ) ).

cnf(u3515,axiom,
    ( ~ topological_space(boundary(X0,X1,X2),X3)
    | basis(boundary(X0,X1,X2),X3)
    | subset_sets(X0,X1) ) ).

cnf(u3827,axiom,
    ( ~ closed(f1(X1,X3),X6,X7)
    | ~ subset_sets(X2,X0)
    | limit_point(X3,X2,X0,X1)
    | element_of_set(f11(X4,closure(X5,X6,X7)),union_of_members(X1))
    | element_of_collection(closure(X5,X6,X7),top_of_basis(X4))
    | ~ topological_space(X0,X1)
    | ~ subset_sets(X5,f1(X1,X3)) ) ).

cnf(u9927,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X0,X1,X2),f14(X3,cx,ct,X4)),f14(X3,cx,ct,X4))
    | subset_sets(X3,f14(X3,cx,ct,X5))
    | topological_space(X0,X1)
    | ~ subset_sets(X3,a)
    | element_of_set(X4,a)
    | ~ subset_sets(X3,cx) ) ).

cnf(u8257,negated_conjecture,
    ( ~ topological_space(cx,X1)
    | element_of_set(f11(X1,a),a)
    | ~ element_of_set(X0,a)
    | element_of_collection(f1(X1,X0),X1) ) ).

cnf(u4057,negated_conjecture,
    ( ~ closed(f10(X0,a,X1),X3,X4)
    | ~ element_of_collection(a,top_of_basis(X0))
    | ~ element_of_set(X1,a)
    | element_of_set(f19(closure(X2,X3,X4),X5),interior(a,cx,X0))
    | hausdorff(closure(X2,X3,X4),X5)
    | ~ subset_sets(X2,f10(X0,a,X1))
    | ~ topological_space(cx,X0)
    | ~ topological_space(closure(X2,X3,X4),X5) ) ).

cnf(u8238,negated_conjecture,
    ( ~ closed(f13(a,cx,X1,X0),X3,X4)
    | ~ topological_space(cx,X1)
    | element_of_set(f11(X1,a),a)
    | element_of_set(f20(closure(X2,X3,X4),X5),union_of_members(X1))
    | hausdorff(closure(X2,X3,X4),X5)
    | ~ subset_sets(X2,f13(a,cx,X1,X0))
    | ~ element_of_set(X0,a)
    | ~ topological_space(closure(X2,X3,X4),X5) ) ).

cnf(u1557,axiom,
    ( element_of_collection(f12(X3,X4,X5,f13(X1,X2,subspace_topology(X3,X4,X5),f11(X8,closure(X0,X6,X7)))),X4)
    | element_of_collection(closure(X0,X6,X7),top_of_basis(X8))
    | ~ closed(interior(X1,X2,subspace_topology(X3,X4,X5)),X6,X7)
    | ~ subset_sets(X0,interior(X1,X2,subspace_topology(X3,X4,X5))) ) ).

cnf(u3962,negated_conjecture,
    ( element_of_set(f11(X0,f14(a,cx,ct,X1)),f14(a,cx,ct,X1))
    | element_of_set(X2,union_of_members(top_of_basis(X0)))
    | ~ element_of_set(X2,sF1)
    | element_of_set(X1,sF1) ) ).

cnf(u1752,axiom,
    ( ~ element_of_set(X0,f2(top_of_basis(subspace_topology(X1,X2,X3)),X4))
    | subset_sets(X3,X1)
    | element_of_set(X4,intersection_of_members(top_of_basis(subspace_topology(X1,X2,X3)))) ) ).

cnf(u1648,axiom,
    ( ~ element_of_set(f7(closure(X0,X1,X2),X3),closure(X4,X5,X6))
    | ~ subset_sets(X0,closure(relative_complement_sets(X4,X5),X5,X6))
    | ~ closed(closure(relative_complement_sets(X4,X5),X5,X6),X1,X2)
    | basis(closure(X0,X1,X2),X3)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | element_of_set(f7(closure(X0,X1,X2),X3),boundary(X4,X5,X6)) ) ).

cnf(u3657,axiom,
    ( element_of_set(X10,interior(f14(f13(X1,X2,X3,f11(X6,boundary(X0,X4,X5))),X7,X8,X9),X2,X3))
    | element_of_collection(boundary(X0,X4,X5),top_of_basis(X6))
    | ~ subset_sets(f14(f13(X1,X2,X3,f11(X6,boundary(X0,X4,X5))),X7,X8,X9),X2)
    | ~ element_of_set(X10,f13(X1,X2,X3,f11(X6,boundary(X0,X4,X5))))
    | ~ closed(interior(X1,X2,X3),X4,X5)
    | ~ subset_sets(X0,interior(X1,X2,X3))
    | element_of_set(X9,closure(f13(X1,X2,X3,f11(X6,boundary(X0,X4,X5))),X7,X8))
    | ~ subset_sets(f13(X1,X2,X3,f11(X6,boundary(X0,X4,X5))),X7)
    | ~ topological_space(X7,X8) ) ).

cnf(u366,negated_conjecture,
    ( element_of_set(f7(f13(a,cx,ct,f19(sF0,X0)),X1),sF0)
    | ~ topological_space(sF0,X0)
    | hausdorff(sF0,X0)
    | basis(f13(a,cx,ct,f19(sF0,X0)),X1)
    | ~ topological_space(f13(a,cx,ct,f19(sF0,X0)),X1) ) ).

cnf(u4048,negated_conjecture,
    ( element_of_set(X4,interior(a,cx,subspace_topology(X1,X2,f10(X0,a,X3))))
    | ~ topological_space(cx,subspace_topology(X1,X2,f10(X0,a,X3)))
    | ~ element_of_set(X4,f10(X0,a,X3))
    | ~ element_of_set(X3,a)
    | ~ element_of_collection(a,top_of_basis(X0))
    | ~ compact_set(f10(X0,a,X3),X1,X2) ) ).

cnf(u766,axiom,
    ( element_of_set(f11(X0,closure(X1,X2,X3)),X4)
    | element_of_collection(closure(X1,X2,X3),top_of_basis(X0))
    | ~ closed(X4,X2,X3)
    | ~ subset_sets(X1,X4) ) ).

cnf(u3665,axiom,
    ( element_of_set(f7(f13(X4,X5,X6,f11(X3,boundary(X0,X1,X2))),X7),interior(X4,X5,X6))
    | ~ subset_sets(X0,interior(X4,X5,X6))
    | ~ closed(interior(X4,X5,X6),X1,X2)
    | element_of_collection(boundary(X0,X1,X2),top_of_basis(X3))
    | basis(f13(X4,X5,X6,f11(X3,boundary(X0,X1,X2))),X7)
    | ~ topological_space(f13(X4,X5,X6,f11(X3,boundary(X0,X1,X2))),X7) ) ).

cnf(interior_49,axiom,
    ( ~ element_of_set(X0,interior(X1,X2,X3))
    | element_of_set(X0,f13(X1,X2,X3,X0)) ) ).

cnf(u1297,negated_conjecture,
    ( ~ subset_sets(f1(top_of_basis(X2),f11(X0,X1)),X1)
    | element_of_set(X3,sF1)
    | ~ element_of_set(f11(X0,X1),sF1)
    | element_of_collection(X1,top_of_basis(X0))
    | ~ element_of_collection(f1(top_of_basis(X2),f11(X0,X1)),X0)
    | element_of_set(f11(X2,sF1),f14(a,cx,ct,X3)) ) ).

cnf(boundary_69,axiom,
    ( ~ element_of_set(X0,boundary(X1,X2,X3))
    | topological_space(X2,X3) ) ).

cnf(u8152,negated_conjecture,
    ( ~ subset_sets(sF0,f13(a,cx,ct,f20(sF0,X0)))
    | ~ element_of_collection(sF0,X1)
    | ~ element_of_set(f20(sF0,X0),a)
    | ~ topological_space(sF0,X0)
    | ~ topological_space(cx,top_of_basis(X1))
    | ~ element_of_set(X2,f13(a,cx,ct,f20(sF0,X0)))
    | hausdorff(sF0,X0)
    | element_of_set(X2,interior(a,cx,top_of_basis(X1))) ) ).

cnf(u1459,axiom,
    ( element_of_set(f7(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4),interior(X0,X1,X2))
    | element_of_collection(interior(X0,X1,X2),top_of_basis(X3))
    | basis(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4)
    | ~ topological_space(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4) ) ).

cnf(u981,negated_conjecture,
    ( ~ subset_sets(a,f14(X1,cx,ct,X2))
    | hausdorff(sF1,X0)
    | element_of_set(f19(sF1,X0),f14(X1,cx,ct,X2))
    | ~ topological_space(sF1,X0)
    | ~ subset_sets(X1,a)
    | ~ subset_sets(X1,cx)
    | element_of_set(X2,a) ) ).

cnf(u7177,axiom,
    ( element_of_set(f11(subspace_topology(X9,X10,X8),f10(X1,closure(X2,X3,X4),X0)),f10(X1,closure(X2,X3,X4),X0))
    | element_of_set(f11(X1,closure(X2,X3,X4)),f13(X5,X6,X7,f11(X1,closure(X2,X3,X4))))
    | ~ subset_sets(X2,interior(X5,X6,X7))
    | ~ element_of_set(X0,closure(X2,X3,X4))
    | subset_sets(X8,X9)
    | ~ closed(interior(X5,X6,X7),X3,X4) ) ).

cnf(u1238,negated_conjecture,
    ( element_of_set(X3,interior(a,cx,subspace_topology(X1,X2,f13(a,cx,ct,f20(sF0,X0)))))
    | ~ topological_space(sF0,X0)
    | ~ topological_space(cx,subspace_topology(X1,X2,f13(a,cx,ct,f20(sF0,X0))))
    | ~ element_of_set(X3,f13(a,cx,ct,f20(sF0,X0)))
    | hausdorff(sF0,X0)
    | ~ connected_set(f13(a,cx,ct,f20(sF0,X0)),X1,X2) ) ).

cnf(u1244,negated_conjecture,
    ( closed(f14(f13(f14(X0,cx,ct,X1),X2,X3,f7(interior(f14(X0,cx,ct,X1),X2,X3),X4)),cx,ct,X5),cx,ct)
    | element_of_set(X1,a)
    | ~ subset_sets(f13(f14(X0,cx,ct,X1),X2,X3,f7(interior(f14(X0,cx,ct,X1),X2,X3),X4)),cx)
    | ~ subset_sets(X0,a)
    | ~ subset_sets(X0,cx)
    | element_of_set(X5,f14(X0,cx,ct,X1))
    | ~ topological_space(interior(f14(X0,cx,ct,X1),X2,X3),X4)
    | basis(interior(f14(X0,cx,ct,X1),X2,X3),X4) ) ).

cnf(u7453,axiom,
    ( ~ closed(f8(X0,X1),X3,X4)
    | basis(X0,X1)
    | element_of_set(f20(closure(X2,X3,X4),X5),union_of_members(X1))
    | hausdorff(closure(X2,X3,X4),X5)
    | ~ subset_sets(X2,f8(X0,X1))
    | ~ topological_space(X0,X1)
    | ~ topological_space(closure(X2,X3,X4),X5) ) ).

cnf(u11487,negated_conjecture,
    ( limit_point(X0,X2,X3,X4)
    | element_of_set(X0,f13(a,a,X1,X0)) ) ).

cnf(u1259,negated_conjecture,
    ( ~ subset_sets(a,f14(X0,cx,ct,X1))
    | ~ subset_sets(X0,a)
    | element_of_set(X2,a)
    | ~ subset_sets(X0,cx)
    | ~ element_of_set(X3,sF1)
    | element_of_set(X1,f14(X0,cx,ct,X2))
    | element_of_set(f11(X4,sF1),f14(X0,cx,ct,X1))
    | element_of_set(X3,union_of_members(top_of_basis(X4))) ) ).

cnf(u1109,axiom,
    ( element_of_set(f19(f21(X0,X1),X2),union_of_members(X1))
    | connected_space(X0,X1)
    | ~ topological_space(X0,X1)
    | ~ topological_space(f21(X0,X1),X2)
    | hausdorff(f21(X0,X1),X2) ) ).

cnf(u7398,axiom,
    ( closed(f14(X0,X1,X2,f11(X9,f14(closure(X0,X1,X2),X3,X4,f11(X8,f14(closure(closure(X0,X1,X2),X3,X4),X5,X6,X7))))),X1,X2)
    | ~ element_of_collection(closure(closure(X0,X1,X2),X3,X4),X8)
    | ~ subset_sets(closure(X0,X1,X2),X3)
    | ~ topological_space(X3,X4)
    | element_of_set(X7,closure(closure(closure(X0,X1,X2),X3,X4),X5,X6))
    | ~ subset_sets(closure(closure(X0,X1,X2),X3,X4),X5)
    | ~ topological_space(X5,X6)
    | ~ element_of_collection(closure(X0,X1,X2),X9)
    | element_of_collection(f14(closure(X0,X1,X2),X3,X4,f11(X8,f14(closure(closure(X0,X1,X2),X3,X4),X5,X6,X7))),top_of_basis(X9))
    | element_of_collection(f14(closure(closure(X0,X1,X2),X3,X4),X5,X6,X7),top_of_basis(X8))
    | ~ subset_sets(X0,X1)
    | ~ topological_space(X1,X2) ) ).

cnf(u3516,axiom,
    ( ~ closed(boundary(X0,X1,X6),X3,X4)
    | ~ topological_space(closure(X2,X3,X4),X5)
    | ~ subset_sets(X2,boundary(X0,X1,X6))
    | subset_sets(X0,X1)
    | basis(closure(X2,X3,X4),X5) ) ).

cnf(u7696,negated_conjecture,
    ( ~ subset_sets(f14(f13(a,cx,X1,X0),cx,ct,X2),cx)
    | element_of_set(f11(X1,a),a)
    | ~ element_of_set(X0,a)
    | ~ element_of_set(X3,f13(a,cx,X1,X0))
    | ~ topological_space(cx,X1)
    | element_of_set(X3,interior(f14(f13(a,cx,X1,X0),cx,ct,X2),cx,X1))
    | element_of_set(X2,f14(f13(a,cx,X1,X0),cx,ct,X4))
    | element_of_set(X4,a)
    | ~ subset_sets(f13(a,cx,X1,X0),cx) ) ).

cnf(u3893,negated_conjecture,
    ( ~ subset_sets(a,f14(a,cx,ct,f11(X3,f14(sF1,X0,X1,X2))))
    | ~ element_of_collection(sF1,X3)
    | element_of_set(X2,closure(sF1,X0,X1))
    | ~ subset_sets(sF1,X0)
    | ~ topological_space(X0,X1)
    | ~ subset_sets(f14(a,cx,ct,f11(X3,f14(sF1,X0,X1,X2))),sF1)
    | element_of_collection(f14(sF1,X0,X1,X2),top_of_basis(X3))
    | ~ element_of_collection(f14(a,cx,ct,f11(X3,f14(sF1,X0,X1,X2))),X4)
    | element_of_collection(sF1,top_of_basis(X4)) ) ).

cnf(u1472,axiom,
    ( element_of_set(f11(X0,intersection_of_sets(X1,X2)),f6(X3,X4,f11(X0,intersection_of_sets(X1,X2)),X1,X2))
    | ~ element_of_collection(X1,X4)
    | ~ element_of_collection(X2,X4)
    | ~ basis(X3,X4)
    | ~ element_of_set(f11(X0,intersection_of_sets(X1,X2)),X3)
    | element_of_collection(intersection_of_sets(X1,X2),top_of_basis(X0)) ) ).

cnf(u7081,axiom,
    ( ~ closed(f22(X4,X5),X2,X3)
    | ~ element_of_set(X6,closure(X1,X2,X3))
    | element_of_set(X6,f10(X0,closure(X1,X2,X3),X6))
    | ~ subset_sets(X1,f22(X4,X5))
    | ~ topological_space(X4,X5)
    | connected_space(X4,X5)
    | element_of_set(f11(X0,closure(X1,X2,X3)),union_of_members(X5)) ) ).

cnf(u8052,negated_conjecture,
    ( ~ element_of_set(X3,f13(a,cx,ct,f11(X1,sF0)))
    | ~ element_of_set(X2,sF0)
    | element_of_set(X2,f10(X1,sF0,X2))
    | element_of_set(X3,f10(X0,f13(a,cx,ct,f11(X1,sF0)),X3))
    | element_of_set(f11(X0,f13(a,cx,ct,f11(X1,sF0))),sF0) ) ).

cnf(u7298,axiom,
    ( element_of_set(f7(f13(X4,X5,X6,f7(closure(X0,X1,X2),X3)),X7),interior(X4,X5,X6))
    | ~ topological_space(closure(X0,X1,X2),X3)
    | ~ closed(interior(X4,X5,X6),X1,X2)
    | ~ subset_sets(X0,interior(X4,X5,X6))
    | basis(closure(X0,X1,X2),X3)
    | basis(f13(X4,X5,X6,f7(closure(X0,X1,X2),X3)),X7)
    | ~ topological_space(f13(X4,X5,X6,f7(closure(X0,X1,X2),X3)),X7) ) ).

cnf(u9043,negated_conjecture,
    ( element_of_set(f19(closure(X0,X1,X2),X3),sF0)
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ subset_sets(X0,a)
    | ~ closed(a,X1,X2)
    | ~ topological_space(closure(X0,X1,X2),X3) ) ).

cnf(u3020,axiom,
    ( ~ closed(f13(X4,X5,X6,f19(closure(X0,X1,X2),X3)),X8,X9)
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ closed(interior(X4,X5,X6),X1,X2)
    | ~ subset_sets(X0,interior(X4,X5,X6))
    | element_of_set(f7(closure(X7,X8,X9),X10),interior(X4,X5,X6))
    | ~ topological_space(closure(X7,X8,X9),X10)
    | ~ subset_sets(X7,f13(X4,X5,X6,f19(closure(X0,X1,X2),X3)))
    | ~ topological_space(closure(X0,X1,X2),X3)
    | basis(closure(X7,X8,X9),X10) ) ).

cnf(u6963,axiom,
    ( element_of_collection(interior(X0,X1,subspace_topology(X2,X3,X4)),top_of_basis(X5))
    | topological_space(X2,X3) ) ).

cnf(u332,axiom,
    ( element_of_set(f7(X0,X1),X0)
    | basis(X0,X1)
    | ~ topological_space(X0,X1) ) ).

cnf(u7354,negated_conjecture,
    ( ~ closed(boundary(X2,X0,X1),X4,X5)
    | ~ subset_sets(X2,sF0)
    | ~ topological_space(closure(X3,X4,X5),X6)
    | ~ subset_sets(X3,boundary(X2,X0,X1))
    | ~ closed(sF0,X0,X1)
    | basis(closure(X3,X4,X5),X6) ) ).

cnf(u269,axiom,
    ( subset_sets(f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),X0)
    | hausdorff(interior(X0,X1,X2),X3)
    | ~ topological_space(interior(X0,X1,X2),X3) ) ).

cnf(u8366,axiom,
    ( ~ subset_sets(f14(f13(X1,X2,X3,f11(X4,interior(X1,X2,X3))),X5,X6,f11(X7,f14(closure(f13(X1,X2,X3,f11(X4,interior(X1,X2,X3))),X5,X6),X8,X9,X10))),X2)
    | ~ element_of_set(X0,interior(X1,X2,X3))
    | ~ element_of_set(X11,f13(X1,X2,X3,f11(X4,interior(X1,X2,X3))))
    | element_of_set(X0,f10(X4,interior(X1,X2,X3),X0))
    | element_of_set(X11,interior(f14(f13(X1,X2,X3,f11(X4,interior(X1,X2,X3))),X5,X6,f11(X7,f14(closure(f13(X1,X2,X3,f11(X4,interior(X1,X2,X3))),X5,X6),X8,X9,X10))),X2,X3))
    | element_of_collection(f14(closure(f13(X1,X2,X3,f11(X4,interior(X1,X2,X3))),X5,X6),X8,X9,X10),top_of_basis(X7))
    | ~ element_of_collection(closure(f13(X1,X2,X3,f11(X4,interior(X1,X2,X3))),X5,X6),X7)
    | ~ subset_sets(f13(X1,X2,X3,f11(X4,interior(X1,X2,X3))),X5)
    | ~ topological_space(X5,X6)
    | element_of_set(X10,closure(closure(f13(X1,X2,X3,f11(X4,interior(X1,X2,X3))),X5,X6),X8,X9))
    | ~ subset_sets(closure(f13(X1,X2,X3,f11(X4,interior(X1,X2,X3))),X5,X6),X8)
    | ~ topological_space(X8,X9) ) ).

cnf(u9943,axiom,
    ( element_of_set(f11(subspace_topology(X0,X1,X2),X3),X3)
    | element_of_collection(X3,top_of_basis(X4))
    | topological_space(X0,X1) ) ).

cnf(u4020,negated_conjecture,
    ( element_of_set(f20(f13(a,cx,ct,X1),X2),union_of_members(top_of_basis(X0)))
    | element_of_set(f11(X0,sF0),sF0)
    | hausdorff(f13(a,cx,ct,X1),X2)
    | ~ topological_space(f13(a,cx,ct,X1),X2)
    | ~ element_of_set(X1,sF0) ) ).

cnf(u10898,negated_conjecture,
    ( ~ element_of_set(X1,a)
    | element_of_set(X1,f1(X0,X1)) ) ).

cnf(u7039,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,X4),X2,X3)
    | ~ element_of_set(X5,closure(X1,X2,X3))
    | element_of_set(X5,f10(X0,closure(X1,X2,X3),X5))
    | ~ subset_sets(X1,f13(a,cx,ct,X4))
    | element_of_set(f11(X0,closure(X1,X2,X3)),sF0)
    | ~ element_of_set(X4,sF0) ) ).

cnf(u4104,axiom,
    ( element_of_set(f11(subspace_topology(X1,X2,X0),closure(X3,X4,X5)),closure(X3,X4,X5))
    | subset_sets(X3,f14(X3,X4,X5,X6))
    | subset_sets(X0,X1)
    | ~ subset_sets(X3,X4)
    | ~ topological_space(X4,X5) ) ).

cnf(u3686,negated_conjecture,
    ( ~ element_of_set(X0,f1(top_of_basis(subspace_topology(X1,X2,X3)),X4))
    | topological_space(X1,X2)
    | element_of_set(f11(subspace_topology(X1,X2,X3),sF1),sF1)
    | ~ element_of_set(X4,sF1) ) ).

cnf(u4092,axiom,
    ( element_of_set(f11(subspace_topology(X1,X2,X0),union_of_members(X3)),union_of_members(X3))
    | limit_point(X4,X5,X6,X3)
    | subset_sets(X0,X1)
    | ~ subset_sets(X5,X6)
    | ~ topological_space(X6,X3) ) ).

cnf(u4101,negated_conjecture,
    ( ~ subset_sets(f14(f13(a,cx,ct,X3),cx,ct,X4),cx)
    | element_of_set(f11(subspace_topology(X1,X2,X0),interior(f14(f13(a,cx,ct,X3),cx,ct,X4),cx,ct)),interior(f14(f13(a,cx,ct,X3),cx,ct,X4),cx,ct))
    | element_of_set(X4,a)
    | subset_sets(X0,X1)
    | ~ element_of_set(X5,f13(a,cx,ct,X3))
    | ~ element_of_set(X3,sF0)
    | ~ subset_sets(f13(a,cx,ct,X3),cx) ) ).

cnf(u1201,axiom,
    ( ~ element_of_set(X4,f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)))
    | hausdorff(interior(X0,X1,X2),X3)
    | ~ topological_space(interior(X0,X1,X2),X3)
    | element_of_set(X4,union_of_members(X2)) ) ).

cnf(u6561,negated_conjecture,
    ( ~ closed(boundary(X2,X0,X1),X4,X5)
    | ~ subset_sets(X2,sF1)
    | ~ topological_space(closure(X3,X4,X5),X6)
    | ~ subset_sets(X3,boundary(X2,X0,X1))
    | ~ closed(sF1,X0,X1)
    | basis(closure(X3,X4,X5),X6) ) ).

cnf(u1236,negated_conjecture,
    ( element_of_set(X3,interior(a,cx,subspace_topology(X1,X2,f13(a,cx,ct,X0))))
    | ~ element_of_set(X3,f13(a,cx,ct,X0))
    | ~ topological_space(cx,subspace_topology(X1,X2,f13(a,cx,ct,X0)))
    | ~ connected_set(f13(a,cx,ct,X0),X1,X2)
    | ~ element_of_set(X0,sF0) ) ).

cnf(u9621,negated_conjecture,
    ( element_of_set(f19(f13(a,cx,X0,f11(subspace_topology(X2,X3,X1),interior(a,cx,X0))),X4),interior(a,cx,X0))
    | ~ topological_space(cx,X0)
    | subset_sets(X1,X2)
    | element_of_set(f11(X0,a),sF0)
    | ~ topological_space(f13(a,cx,X0,f11(subspace_topology(X2,X3,X1),interior(a,cx,X0))),X4)
    | hausdorff(f13(a,cx,X0,f11(subspace_topology(X2,X3,X1),interior(a,cx,X0))),X4) ) ).

cnf(u11514,negated_conjecture,
    ( limit_point(X0,X2,X3,X4)
    | element_of_set(f11(X5,interior(a,sF0,X1)),interior(a,sF0,X1))
    | element_of_set(X0,union_of_members(top_of_basis(X5))) ) ).

cnf(u35650,axiom,
    ( compact_space(X0,subspace_topology(X1,X2,X3))
    | ~ compact_set(X3,X1,X2) ) ).

cnf(u762,axiom,
    ( element_of_set(f11(X0,f13(X1,X2,X3,f20(interior(X1,X2,X3),X4))),interior(X1,X2,X3))
    | ~ topological_space(interior(X1,X2,X3),X4)
    | hausdorff(interior(X1,X2,X3),X4)
    | element_of_collection(f13(X1,X2,X3,f20(interior(X1,X2,X3),X4)),top_of_basis(X0)) ) ).

cnf(neighborhood_61,axiom,
    ( ~ neighborhood(X0,X1,X2,X3)
    | element_of_set(X1,X0) ) ).

cnf(u1323,negated_conjecture,
    ( element_of_set(f11(X2,f1(top_of_basis(X1),X0)),union_of_members(top_of_basis(X1)))
    | element_of_set(f11(X1,sF1),sF1)
    | ~ element_of_set(X0,sF1)
    | element_of_collection(f1(top_of_basis(X1),X0),top_of_basis(X2)) ) ).

cnf(limit_point_65,axiom,
    ( 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) ) ).

cnf(u11729,negated_conjecture,
    ( basis(X0,f24(X0,X1))
    | compact_space(X0,X1) ) ).

cnf(u6658,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,f11(X3,closure(X0,X1,X2))),X5,X6)
    | element_of_set(f7(closure(X4,X5,X6),X7),interior(a,sF0,ct))
    | ~ closed(sF0,X1,X2)
    | ~ subset_sets(X0,sF0)
    | ~ topological_space(closure(X4,X5,X6),X7)
    | ~ subset_sets(X4,f13(a,cx,ct,f11(X3,closure(X0,X1,X2))))
    | element_of_collection(closure(X0,X1,X2),top_of_basis(X3))
    | basis(closure(X4,X5,X6),X7) ) ).

cnf(u977,axiom,
    ( element_of_set(f19(closure(X0,X1,X2),X3),closure(X4,X5,X6))
    | ~ subset_sets(X0,boundary(X4,X5,X6))
    | ~ closed(boundary(X4,X5,X6),X1,X2)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | hausdorff(closure(X0,X1,X2),X3) ) ).

cnf(u6568,negated_conjecture,
    ( ~ closed(boundary(X2,X0,X1),X4,X5)
    | ~ subset_sets(X2,sF1)
    | hausdorff(closure(X3,X4,X5),X6)
    | ~ subset_sets(X3,boundary(X2,X0,X1))
    | ~ closed(sF1,X0,X1)
    | ~ topological_space(closure(X3,X4,X5),X6) ) ).

cnf(u3848,axiom,
    ( hausdorff(closure(X0,X1,X2),subspace_topology(X3,X4,closure(X0,X1,X2)))
    | ~ compact_set(closure(X0,X1,X2),X3,X4)
    | subset_sets(X0,X1) ) ).

cnf(u7543,negated_conjecture,
    ( subset_sets(f13(a,cx,X1,X0),a)
    | ~ topological_space(cx,X1)
    | ~ element_of_set(X0,a)
    | element_of_set(f11(X1,a),a) ) ).

cnf(u9489,negated_conjecture,
    ( ~ closed(f13(a,cx,X1,X0),X3,X4)
    | ~ topological_space(cx,X1)
    | element_of_set(f11(X1,a),sF0)
    | element_of_set(f20(closure(X2,X3,X4),X5),union_of_members(X1))
    | hausdorff(closure(X2,X3,X4),X5)
    | ~ subset_sets(X2,f13(a,cx,X1,X0))
    | ~ element_of_set(X0,a)
    | ~ topological_space(closure(X2,X3,X4),X5) ) ).

cnf(u3712,axiom,
    ( ~ element_of_set(X0,f13(X1,X2,top_of_basis(subspace_topology(X3,X4,X5)),f19(interior(X1,X2,top_of_basis(subspace_topology(X3,X4,X5))),X6)))
    | topological_space(X3,X4)
    | ~ topological_space(interior(X1,X2,top_of_basis(subspace_topology(X3,X4,X5))),X6)
    | hausdorff(interior(X1,X2,top_of_basis(subspace_topology(X3,X4,X5))),X6) ) ).

cnf(u7474,negated_conjecture,
    ( element_of_set(f11(X0,intersection_of_sets(X1,X2)),union_of_members(ct))
    | element_of_set(X3,f10(X0,intersection_of_sets(X1,X2),X3))
    | ~ element_of_set(X3,intersection_of_sets(X1,X2))
    | ~ element_of_collection(X2,ct)
    | ~ element_of_collection(X1,ct) ) ).

cnf(u7372,axiom,
    ( ~ closed(f9(X0,X1),X3,X4)
    | basis(X0,X1)
    | element_of_set(f20(closure(X2,X3,X4),X5),union_of_members(X1))
    | hausdorff(closure(X2,X3,X4),X5)
    | ~ subset_sets(X2,f9(X0,X1))
    | ~ topological_space(X0,X1)
    | ~ topological_space(closure(X2,X3,X4),X5) ) ).

cnf(u1464,axiom,
    ( element_of_set(f20(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4),interior(X0,X1,X2))
    | element_of_collection(interior(X0,X1,X2),top_of_basis(X3))
    | ~ topological_space(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4)
    | hausdorff(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4) ) ).

cnf(u182,negated_conjecture,
    ( element_of_set(X4,interior(f14(f13(a,cx,ct,X0),X1,X2,X3),cx,ct))
    | ~ element_of_set(X4,f13(a,cx,ct,X0))
    | ~ element_of_set(X0,sF0)
    | ~ subset_sets(f14(f13(a,cx,ct,X0),X1,X2,X3),cx)
    | element_of_set(X3,closure(f13(a,cx,ct,X0),X1,X2))
    | ~ subset_sets(f13(a,cx,ct,X0),X1)
    | ~ topological_space(X1,X2) ) ).

cnf(u6678,negated_conjecture,
    ( subset_sets(f13(a,sF0,ct,f11(X3,closure(X0,X1,X2))),a)
    | ~ closed(sF0,X1,X2)
    | ~ subset_sets(X0,sF0)
    | element_of_collection(closure(X0,X1,X2),top_of_basis(X3)) ) ).

cnf(u1478,axiom,
    ( element_of_set(f20(closure(X0,X1,X2),X3),f6(X4,X6,f20(closure(X0,X1,X2),X3),X5,X7))
    | ~ element_of_collection(X5,X6)
    | ~ element_of_collection(X7,X6)
    | ~ basis(X4,X6)
    | ~ element_of_set(f20(closure(X0,X1,X2),X3),X4)
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ subset_sets(X0,intersection_of_sets(X5,X7))
    | ~ closed(intersection_of_sets(X5,X7),X1,X2)
    | ~ topological_space(closure(X0,X1,X2),X3) ) ).

cnf(u3709,axiom,
    ( ~ element_of_set(X0,f13(X1,X2,top_of_basis(subspace_topology(X3,X4,X5)),f11(X6,closure(X7,X8,X9))))
    | topological_space(X3,X4)
    | ~ subset_sets(X7,interior(X1,X2,top_of_basis(subspace_topology(X3,X4,X5))))
    | element_of_collection(closure(X7,X8,X9),top_of_basis(X6))
    | ~ closed(interior(X1,X2,top_of_basis(subspace_topology(X3,X4,X5))),X8,X9) ) ).

cnf(u1899,axiom,
    ( ~ subset_sets(a,f14(relative_complement_sets(a,cx),cx,ct,X0))
    | element_of_set(X0,boundary(a,cx,ct))
    | ~ element_of_set(X1,sF1)
    | ~ element_of_set(X0,sF1)
    | element_of_set(f11(X2,sF1),f14(relative_complement_sets(a,cx),cx,ct,X0))
    | element_of_set(X1,union_of_members(top_of_basis(X2))) ) ).

cnf(u397,axiom,
    ( subset_collections(f24(X0,X1),X1)
    | compact_space(X0,X1)
    | ~ topological_space(X0,X1) ) ).

cnf(u7012,axiom,
    ( element_of_set(f11(X6,f10(X1,closure(X2,X3,X4),X0)),f10(X1,closure(X2,X3,X4),X0))
    | element_of_set(f11(X1,closure(X2,X3,X4)),X5)
    | ~ closed(X5,X3,X4)
    | ~ subset_sets(X2,X5)
    | ~ element_of_set(X0,closure(X2,X3,X4))
    | element_of_set(X0,union_of_members(top_of_basis(X6))) ) ).

cnf(u11071,negated_conjecture,
    ( element_of_set(f19(interior(X0,X1,X2),X3),interior(a,sF0,X4))
    | hausdorff(interior(X0,X1,X2),X3) ) ).

cnf(u328,negated_conjecture,
    ( element_of_set(f19(intersection_of_sets(X0,X1),X2),union_of_members(ct))
    | ~ element_of_collection(X1,ct)
    | ~ element_of_collection(X0,ct)
    | ~ topological_space(intersection_of_sets(X0,X1),X2)
    | hausdorff(intersection_of_sets(X0,X1),X2) ) ).

cnf(u1757,axiom,
    ( ~ element_of_set(X0,f12(X1,top_of_basis(subspace_topology(X2,X3,X4)),X5,f16(X6,X7,X8,subspace_topology(X1,top_of_basis(subspace_topology(X2,X3,X4)),X5))))
    | subset_sets(X4,X2)
    | limit_point(X6,X7,X8,subspace_topology(X1,top_of_basis(subspace_topology(X2,X3,X4)),X5))
    | ~ topological_space(X8,subspace_topology(X1,top_of_basis(subspace_topology(X2,X3,X4)),X5))
    | ~ subset_sets(X7,X8) ) ).

cnf(u1094,negated_conjecture,
    ( ~ subset_sets(a,f14(a,cx,ct,f11(X0,X1)))
    | element_of_collection(X1,top_of_basis(X0))
    | ~ subset_sets(sF1,X1)
    | hausdorff(sF1,X2)
    | ~ element_of_collection(sF1,X0)
    | element_of_set(f20(sF1,X2),f14(a,cx,ct,f11(X0,X1)))
    | ~ topological_space(sF1,X2) ) ).

cnf(u35633,axiom,
    ( ~ open_covering(f24(X0,X1),X2,X1)
    | compact_space(X0,X1)
    | ~ compact_space(X2,X1) ) ).

cnf(u525,axiom,
    ( element_of_collection(union_of_sets(f21(intersection_of_sets(X0,X1),X2),f22(intersection_of_sets(X0,X1),X2)),subspace_topology(X3,X4,X0))
    | connected_space(intersection_of_sets(X0,X1),X2)
    | ~ topological_space(X3,X4)
    | ~ subset_sets(X0,X3)
    | ~ element_of_collection(X1,X4)
    | ~ topological_space(intersection_of_sets(X0,X1),X2) ) ).

cnf(u7283,axiom,
    ( ~ closed(f13(a,cx,ct,f7(sF0,X0)),X3,X4)
    | basis(sF0,X0)
    | element_of_set(f11(X1,closure(X2,X3,X4)),union_of_members(ct))
    | element_of_set(X5,f10(X1,closure(X2,X3,X4),X5))
    | ~ element_of_set(X5,closure(X2,X3,X4))
    | ~ topological_space(sF0,X0)
    | ~ subset_sets(X2,f13(a,cx,ct,f7(sF0,X0))) ) ).

cnf(u8336,negated_conjecture,
    ( ~ element_of_collection(f13(f13(a,cx,X1,X0),X2,X3,f20(closure(X4,X5,X6),X7)),X8)
    | element_of_set(f11(X1,a),a)
    | ~ element_of_set(X0,a)
    | ~ topological_space(a,X8)
    | ~ element_of_set(X9,f13(f13(a,cx,X1,X0),X2,X3,f20(closure(X4,X5,X6),X7)))
    | ~ topological_space(cx,X1)
    | element_of_set(X9,interior(f13(a,cx,X1,X0),a,X8))
    | ~ subset_sets(X4,interior(f13(a,cx,X1,X0),X2,X3))
    | ~ closed(interior(f13(a,cx,X1,X0),X2,X3),X5,X6)
    | ~ topological_space(closure(X4,X5,X6),X7)
    | hausdorff(closure(X4,X5,X6),X7) ) ).

cnf(u1634,axiom,
    ( ~ closed(f13(X4,X5,X6,f11(X7,interior(X4,X5,X6))),X1,X2)
    | ~ subset_sets(X0,f13(X4,X5,X6,f11(X7,interior(X4,X5,X6))))
    | ~ topological_space(closure(X0,X1,X2),X3)
    | basis(closure(X0,X1,X2),X3)
    | element_of_collection(interior(X4,X5,X6),top_of_basis(X7))
    | element_of_set(f7(closure(X0,X1,X2),X3),interior(X4,X5,X6)) ) ).

cnf(u4097,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X1,X2,X0),f1(top_of_basis(X3),X4)),f1(top_of_basis(X3),X4))
    | element_of_set(f11(X3,sF1),f14(a,cx,ct,X5))
    | subset_sets(X0,X1)
    | element_of_set(X5,sF1)
    | ~ element_of_set(X4,sF1) ) ).

cnf(u801,axiom,
    ( ~ element_of_set(X5,closure(X0,X1,X2))
    | ~ closed(X4,X1,X2)
    | ~ subset_sets(X0,X4)
    | element_of_set(f11(X3,closure(X0,X1,X2)),X4)
    | element_of_set(X5,union_of_members(top_of_basis(X3))) ) ).

cnf(u1065,negated_conjecture,
    ( element_of_set(f7(f13(a,cx,ct,f7(sF0,X0)),X1),sF0)
    | basis(sF0,X0)
    | ~ topological_space(sF0,X0)
    | basis(f13(a,cx,ct,f7(sF0,X0)),X1)
    | ~ topological_space(f13(a,cx,ct,f7(sF0,X0)),X1) ) ).

cnf(u7747,negated_conjecture,
    ( element_of_collection(f13(a,cx,X0,X1),X0)
    | element_of_set(f11(X0,a),union_of_members(top_of_basis(X2)))
    | ~ topological_space(cx,X0)
    | element_of_set(f11(X2,a),a)
    | ~ element_of_set(X1,a) ) ).

cnf(u9811,negated_conjecture,
    ( element_of_set(f11(X2,union_of_members(ct)),union_of_members(ct))
    | element_of_set(f7(X0,X1),union_of_members(top_of_basis(X2)))
    | ~ element_of_collection(f9(X0,X1),ct)
    | ~ element_of_collection(f8(X0,X1),ct)
    | ~ equal_sets(union_of_members(X1),X0)
    | basis(X0,X1) ) ).

cnf(u9177,negated_conjecture,
    ( element_of_set(f20(f13(a,cx,X1,X0),X2),interior(a,cx,X1))
    | element_of_set(f11(X1,a),sF0)
    | ~ topological_space(cx,X1)
    | ~ element_of_set(X0,a)
    | ~ topological_space(f13(a,cx,X1,X0),X2)
    | hausdorff(f13(a,cx,X1,X0),X2) ) ).

cnf(u4045,axiom,
    ( ~ element_of_set(X0,f13(X1,X2,X3,f11(X4,sF1)))
    | element_of_collection(sF1,top_of_basis(X4))
    | ~ subset_sets(a,interior(X1,X2,X3))
    | ~ closed(interior(X1,X2,X3),cx,ct)
    | element_of_set(X0,interior(X1,X2,X3)) ) ).

cnf(u8347,negated_conjecture,
    ( element_of_set(f11(X1,f1(top_of_basis(ct),X0)),f1(top_of_basis(ct),X0))
    | ~ element_of_set(X0,a)
    | element_of_set(X0,union_of_members(top_of_basis(X1))) ) ).

cnf(u11463,axiom,
    ( element_of_set(X0,interior(X1,X2,X3))
    | limit_point(X0,X4,X5,X6) ) ).

cnf(u254,axiom,
    ( ~ subset_sets(X0,f14(X2,X1,X3,X4))
    | ~ subset_sets(X0,X1)
    | closed(f14(X0,X1,X3,X5),X1,X3)
    | element_of_set(X5,f14(X2,X1,X3,X4))
    | element_of_set(X4,closure(X2,X1,X3))
    | ~ subset_sets(X2,X1)
    | ~ topological_space(X1,X3) ) ).

cnf(u626,axiom,
    ( element_of_set(f7(intersection_of_members(X1),X2),X0)
    | ~ element_of_collection(X0,X1)
    | basis(intersection_of_members(X1),X2)
    | ~ topological_space(intersection_of_members(X1),X2) ) ).

cnf(u904,axiom,
    ( ~ element_of_set(X2,boundary(X0,X1,X3))
    | subset_sets(X0,X1)
    | element_of_set(X2,union_of_members(top_of_basis(X4))) ) ).

cnf(u3970,axiom,
    ( ~ topological_space(closure(X2,X3,X4),X5)
    | element_of_set(f7(closure(X2,X3,X4),X5),union_of_members(top_of_basis(X0)))
    | element_of_set(f11(X0,X1),X1)
    | ~ subset_sets(X2,X1)
    | ~ closed(X1,X3,X4)
    | basis(closure(X2,X3,X4),X5) ) ).

cnf(closure_57,axiom,
    ( closed(f14(X1,X2,X3,X0),X2,X3)
    | element_of_set(X0,closure(X1,X2,X3))
    | ~ subset_sets(X1,X2)
    | ~ topological_space(X2,X3) ) ).

cnf(u743,axiom,
    ( element_of_set(f11(X0,union_of_members(X1)),f1(X1,f11(X0,union_of_members(X1))))
    | element_of_collection(union_of_members(X1),top_of_basis(X0)) ) ).

cnf(u3586,axiom,
    ( subset_sets(f13(X4,X5,X6,f11(X0,boundary(X1,X2,X3))),X4)
    | ~ closed(interior(X4,X5,X6),X2,X3)
    | ~ subset_sets(X1,interior(X4,X5,X6))
    | element_of_collection(boundary(X1,X2,X3),top_of_basis(X0)) ) ).

cnf(u3992,negated_conjecture,
    ( element_of_set(f11(X1,f13(a,cx,ct,X2)),union_of_members(top_of_basis(X0)))
    | element_of_set(f11(X0,sF0),sF0)
    | element_of_collection(f13(a,cx,ct,X2),top_of_basis(X1))
    | ~ element_of_set(X2,sF0) ) ).

cnf(u7232,axiom,
    ( element_of_set(X3,f10(X2,f12(X1,top_of_basis(X2),X0,X0),X3))
    | ~ element_of_set(X3,f12(X1,top_of_basis(X2),X0,X0))
    | ~ connected_set(X0,X1,top_of_basis(X2)) ) ).

cnf(u7133,axiom,
    ( ~ closed(f13(X0,X1,X2,f11(X7,closure(X5,X3,X4))),X10,X11)
    | ~ subset_sets(X5,interior(X0,X1,X2))
    | ~ element_of_set(X6,closure(X5,X3,X4))
    | element_of_set(X6,f10(X7,closure(X5,X3,X4),X6))
    | element_of_set(f11(X8,closure(X9,X10,X11)),interior(X0,X1,X2))
    | element_of_collection(closure(X9,X10,X11),top_of_basis(X8))
    | ~ closed(interior(X0,X1,X2),X3,X4)
    | ~ subset_sets(X9,f13(X0,X1,X2,f11(X7,closure(X5,X3,X4)))) ) ).

cnf(u1635,axiom,
    ( ~ closed(closure(X4,X5,X6),X1,X2)
    | ~ subset_sets(X0,closure(X4,X5,X6))
    | ~ topological_space(closure(X0,X1,X2),X3)
    | basis(closure(X0,X1,X2),X3)
    | ~ closed(X7,X5,X6)
    | ~ subset_sets(X4,X7)
    | element_of_set(f11(X8,closure(X4,X5,X6)),X7)
    | element_of_set(f7(closure(X0,X1,X2),X3),union_of_members(top_of_basis(X8))) ) ).

cnf(u1529,axiom,
    ( element_of_set(f11(X0,sF0),f1(ct,f11(X0,sF0)))
    | element_of_collection(sF0,top_of_basis(X0)) ) ).

cnf(u10842,negated_conjecture,
    ( element_of_set(f19(X0,X1),interior(a,a,X2))
    | hausdorff(X0,X1) ) ).

cnf(u3831,axiom,
    ( ~ topological_space(f1(X1,X3),X4)
    | ~ subset_sets(X2,X0)
    | limit_point(X3,X2,X0,X1)
    | element_of_set(f20(f1(X1,X3),X4),union_of_members(X1))
    | ~ topological_space(X0,X1)
    | hausdorff(f1(X1,X3),X4) ) ).

cnf(u3684,axiom,
    ( ~ element_of_set(X0,X1)
    | topological_space(X2,X3)
    | element_of_set(f11(subspace_topology(X2,X3,X4),X1),X1) ) ).

cnf(subspace_topology_46,axiom,
    ( ~ equal_sets(X0,intersection_of_sets(X3,X4))
    | ~ topological_space(X1,X2)
    | ~ subset_sets(X3,X1)
    | ~ element_of_collection(X4,X2)
    | element_of_collection(X0,subspace_topology(X1,X2,X3)) ) ).

cnf(u9169,negated_conjecture,
    ( ~ closed(f13(a,cx,X1,X0),X4,X5)
    | element_of_set(f11(X1,a),sF0)
    | ~ topological_space(cx,X1)
    | element_of_set(f11(X2,closure(X3,X4,X5)),interior(a,cx,X1))
    | element_of_collection(closure(X3,X4,X5),top_of_basis(X2))
    | ~ element_of_set(X0,a)
    | ~ subset_sets(X3,f13(a,cx,X1,X0)) ) ).

cnf(u178,axiom,
    ( element_of_collection(f13(a,cx,ct,X0),ct)
    | ~ element_of_set(X0,sF0) ) ).

cnf(u724,axiom,
    ( ~ subset_sets(f14(f13(X0,X1,X2,f20(sF1,X3)),X4,X5,X6),X1)
    | ~ topological_space(sF1,X3)
    | hausdorff(sF1,X3)
    | ~ closed(interior(X0,X1,X2),cx,ct)
    | ~ element_of_set(X7,f13(X0,X1,X2,f20(sF1,X3)))
    | ~ subset_sets(a,interior(X0,X1,X2))
    | element_of_set(X7,interior(f14(f13(X0,X1,X2,f20(sF1,X3)),X4,X5,X6),X1,X2))
    | element_of_set(X6,closure(f13(X0,X1,X2,f20(sF1,X3)),X4,X5))
    | ~ subset_sets(f13(X0,X1,X2,f20(sF1,X3)),X4)
    | ~ topological_space(X4,X5) ) ).

cnf(u3522,axiom,
    ( ~ closed(boundary(X0,X1,X6),X3,X4)
    | hausdorff(closure(X2,X3,X4),X5)
    | ~ subset_sets(X2,boundary(X0,X1,X6))
    | subset_sets(X0,X1)
    | ~ topological_space(closure(X2,X3,X4),X5) ) ).

cnf(u8367,negated_conjecture,
    ( ~ subset_sets(f14(f13(X1,X2,X3,f11(X4,interior(X1,X2,X3))),cx,ct,X5),X2)
    | ~ element_of_set(X0,interior(X1,X2,X3))
    | ~ element_of_set(X6,f13(X1,X2,X3,f11(X4,interior(X1,X2,X3))))
    | element_of_set(X0,f10(X4,interior(X1,X2,X3),X0))
    | element_of_set(X6,interior(f14(f13(X1,X2,X3,f11(X4,interior(X1,X2,X3))),cx,ct,X5),X2,X3))
    | element_of_set(X5,f14(f13(X1,X2,X3,f11(X4,interior(X1,X2,X3))),cx,ct,X7))
    | ~ subset_sets(f13(X1,X2,X3,f11(X4,interior(X1,X2,X3))),a)
    | element_of_set(X7,a)
    | ~ subset_sets(f13(X1,X2,X3,f11(X4,interior(X1,X2,X3))),cx) ) ).

cnf(u6836,negated_conjecture,
    ( element_of_set(X10,interior(f14(f13(X2,X3,X4,f7(closure(X5,X6,X7),X8)),X0,X1,X9),X3,X4))
    | ~ subset_sets(f13(X2,X3,X4,f7(closure(X5,X6,X7),X8)),sF1)
    | ~ subset_sets(f13(X2,X3,X4,f7(closure(X5,X6,X7),X8)),X0)
    | ~ closed(interior(X2,X3,X4),X6,X7)
    | basis(closure(X5,X6,X7),X8)
    | ~ topological_space(closure(X5,X6,X7),X8)
    | ~ subset_sets(f14(f13(X2,X3,X4,f7(closure(X5,X6,X7),X8)),X0,X1,X9),X3)
    | ~ element_of_set(X10,f13(X2,X3,X4,f7(closure(X5,X6,X7),X8)))
    | ~ subset_sets(X5,interior(X2,X3,X4))
    | ~ closed(sF1,X0,X1) ) ).

cnf(u3070,axiom,
    ( ~ element_of_collection(f13(closure(X0,X1,X2),X3,X4,f11(X5,closure(X0,X1,X2))),X5)
    | element_of_collection(closure(X0,X1,X2),top_of_basis(X5))
    | ~ subset_sets(X0,interior(closure(X0,X1,X2),X3,X4))
    | ~ closed(interior(closure(X0,X1,X2),X3,X4),X1,X2) ) ).

cnf(u393,axiom,
    ( ~ subset_sets(X1,f13(a,cx,ct,f20(sF0,X0)))
    | ~ topological_space(sF0,X0)
    | ~ element_of_collection(X1,X2)
    | ~ topological_space(a,X2)
    | ~ element_of_set(X3,X1)
    | hausdorff(sF0,X0)
    | element_of_set(X3,interior(f13(a,cx,ct,f20(sF0,X0)),a,X2)) ) ).

cnf(u3578,axiom,
    ( ~ closed(intersection_of_sets(f16(X4,X5,X6,X7),X5),X2,X3)
    | element_of_collection(boundary(X1,X2,X3),top_of_basis(X0))
    | ~ subset_sets(X1,intersection_of_sets(f16(X4,X5,X6,X7),X5))
    | ~ topological_space(X6,X7)
    | ~ subset_sets(X5,X6)
    | limit_point(X4,X5,X6,X7)
    | eq_p(f11(X0,boundary(X1,X2,X3)),X4) ) ).

cnf(u1086,negated_conjecture,
    ( closed(f14(X0,X1,X2,f11(X3,f14(closure(X0,X1,X2),cx,ct,X4))),X1,X2)
    | element_of_collection(f14(closure(X0,X1,X2),cx,ct,X4),top_of_basis(X3))
    | ~ element_of_collection(closure(X0,X1,X2),X3)
    | ~ subset_sets(X0,X1)
    | ~ topological_space(X1,X2)
    | ~ subset_sets(closure(X0,X1,X2),a)
    | ~ subset_sets(closure(X0,X1,X2),cx)
    | element_of_set(X4,a) ) ).

cnf(u340,axiom,
    ( ~ topological_space(interior(X0,X1,X2),X3)
    | basis(interior(X0,X1,X2),X3)
    | topological_space(X1,X2) ) ).

cnf(u8226,negated_conjecture,
    ( ~ closed(f13(a,cx,X1,X0),X4,X5)
    | ~ topological_space(cx,X1)
    | element_of_set(f11(X1,a),a)
    | element_of_set(f11(X2,closure(X3,X4,X5)),union_of_members(X1))
    | element_of_set(X6,f10(X2,closure(X3,X4,X5),X6))
    | ~ element_of_set(X6,closure(X3,X4,X5))
    | ~ element_of_set(X0,a)
    | ~ subset_sets(X3,f13(a,cx,X1,X0)) ) ).

cnf(u10277,negated_conjecture,
    ( ~ element_of_set(X1,X0)
    | element_of_set(X1,interior(X2,intersection_of_sets(X3,f12(X4,X5,X3,union_of_members(ct))),ct)) ) ).

cnf(u1764,axiom,
    ( ~ element_of_set(X0,f13(X1,X2,top_of_basis(subspace_topology(X3,X4,X5)),f19(interior(X1,X2,top_of_basis(subspace_topology(X3,X4,X5))),X6)))
    | subset_sets(X5,X3)
    | ~ topological_space(interior(X1,X2,top_of_basis(subspace_topology(X3,X4,X5))),X6)
    | hausdorff(interior(X1,X2,top_of_basis(subspace_topology(X3,X4,X5))),X6) ) ).

cnf(u35645,axiom,
    ( ~ subset_collections(f24(X0,X1),X1)
    | ~ compact_space(X2,X1)
    | compact_space(X0,X1) ) ).

cnf(u923,axiom,
    ( ~ element_of_collection(f13(f13(a,cx,ct,X0),X1,X2,f11(X3,interior(f13(a,cx,ct,X0),X1,X2))),X4)
    | ~ topological_space(a,X4)
    | ~ element_of_set(X5,f13(f13(a,cx,ct,X0),X1,X2,f11(X3,interior(f13(a,cx,ct,X0),X1,X2))))
    | element_of_collection(interior(f13(a,cx,ct,X0),X1,X2),top_of_basis(X3))
    | element_of_set(X5,interior(f13(a,cx,ct,X0),a,X4))
    | ~ element_of_set(X0,sF0) ) ).

cnf(u521,axiom,
    ( ~ element_of_collection(f16(X2,X0,X1,X3),X5)
    | limit_point(X2,X0,X1,X3)
    | ~ limit_point(X2,X0,X4,X5)
    | ~ topological_space(X1,X3)
    | ~ subset_sets(X0,X1) ) ).

cnf(u3587,axiom,
    ( ~ closed(interior(X4,X5,X6),X2,X3)
    | element_of_collection(boundary(X1,X2,X3),top_of_basis(X0))
    | ~ subset_sets(X1,interior(X4,X5,X6))
    | subset_sets(X4,X5) ) ).

cnf(u8348,negated_conjecture,
    ( ~ subset_sets(f1(top_of_basis(ct),f11(X0,X1)),X1)
    | element_of_collection(X1,top_of_basis(X0))
    | ~ element_of_collection(f1(top_of_basis(ct),f11(X0,X1)),X0)
    | ~ element_of_set(f11(X0,X1),a) ) ).

cnf(u8326,negated_conjecture,
    ( ~ element_of_collection(f13(f13(a,cx,X1,X0),X2,X3,f7(interior(f13(a,cx,X1,X0),X2,X3),X4)),X5)
    | element_of_set(f11(X1,a),a)
    | ~ element_of_set(X0,a)
    | ~ topological_space(a,X5)
    | ~ element_of_set(X6,f13(f13(a,cx,X1,X0),X2,X3,f7(interior(f13(a,cx,X1,X0),X2,X3),X4)))
    | ~ topological_space(cx,X1)
    | element_of_set(X6,interior(f13(a,cx,X1,X0),a,X5))
    | ~ topological_space(interior(f13(a,cx,X1,X0),X2,X3),X4)
    | basis(interior(f13(a,cx,X1,X0),X2,X3),X4) ) ).

cnf(u1615,axiom,
    ( element_of_collection(f6(X6,X7,f7(closure(X0,X1,X2),X3),X4,X5),X7)
    | ~ subset_sets(X0,intersection_of_sets(X4,X5))
    | ~ closed(intersection_of_sets(X4,X5),X1,X2)
    | basis(closure(X0,X1,X2),X3)
    | ~ element_of_set(f7(closure(X0,X1,X2),X3),X6)
    | ~ element_of_collection(X4,X7)
    | ~ element_of_collection(X5,X7)
    | ~ basis(X6,X7)
    | ~ topological_space(closure(X0,X1,X2),X3) ) ).

cnf(u7718,negated_conjecture,
    ( element_of_set(f19(f13(a,cx,X0,X1),X2),interior(a,cx,X0))
    | ~ element_of_set(X1,a)
    | ~ topological_space(cx,X0)
    | element_of_set(f11(X0,a),a)
    | ~ topological_space(f13(a,cx,X0,X1),X2)
    | hausdorff(f13(a,cx,X0,X1),X2) ) ).

cnf(u3609,axiom,
    ( ~ closed(closure(X4,X5,X6),X2,X3)
    | element_of_collection(boundary(X1,X2,X3),top_of_basis(X0))
    | ~ subset_sets(X1,closure(X4,X5,X6))
    | subset_sets(X4,X5) ) ).

cnf(u1203,axiom,
    ( ~ topological_space(interior(X0,X1,subspace_topology(X2,X3,X4)),X5)
    | hausdorff(interior(X0,X1,subspace_topology(X2,X3,X4)),X5)
    | topological_space(X2,X3) ) ).

cnf(u940,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,f11(X4,sF0)),X1,X2)
    | element_of_collection(sF0,top_of_basis(X4))
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ subset_sets(X0,f13(a,cx,ct,f11(X4,sF0)))
    | element_of_set(f20(closure(X0,X1,X2),X3),sF0)
    | ~ topological_space(closure(X0,X1,X2),X3) ) ).

cnf(u7035,axiom,
    ( ~ closed(interior(X4,X5,X6),X2,X3)
    | ~ element_of_set(X7,closure(X1,X2,X3))
    | element_of_set(X7,f10(X0,closure(X1,X2,X3),X7))
    | ~ subset_sets(X1,interior(X4,X5,X6))
    | topological_space(X5,X6) ) ).

cnf(u1434,axiom,
    ( open(f13(a,cx,ct,f11(X0,sF0)),cx,ct)
    | element_of_collection(sF0,top_of_basis(X0)) ) ).

cnf(u638,axiom,
    ( ~ closed(intersection_of_sets(f16(X4,X5,X6,X7),X5),X1,X2)
    | ~ subset_sets(X0,intersection_of_sets(f16(X4,X5,X6,X7),X5))
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | ~ topological_space(X6,X7)
    | ~ subset_sets(X5,X6)
    | limit_point(X4,X5,X6,X7)
    | eq_p(f20(closure(X0,X1,X2),X3),X4) ) ).

cnf(u144,axiom,
    ( ~ closed(X1,cx,ct)
    | ~ subset_sets(a,X1)
    | ~ element_of_set(X0,sF1)
    | element_of_set(X0,X1) ) ).

cnf(u9826,axiom,
    ( ~ closed(interior(X0,X1,subspace_topology(X2,X3,X4)),X5,X6)
    | basis(closure(X7,X5,X6),X8)
    | ~ topological_space(closure(X7,X5,X6),X8)
    | ~ subset_sets(X7,interior(X0,X1,subspace_topology(X2,X3,X4)))
    | subset_sets(X4,X2) ) ).

cnf(u8333,negated_conjecture,
    ( ~ element_of_collection(f13(f13(a,cx,X1,X0),X2,X3,f19(interior(f13(a,cx,X1,X0),X2,X3),X4)),X5)
    | element_of_set(f11(X1,a),a)
    | ~ element_of_set(X0,a)
    | ~ topological_space(a,X5)
    | ~ element_of_set(X6,f13(f13(a,cx,X1,X0),X2,X3,f19(interior(f13(a,cx,X1,X0),X2,X3),X4)))
    | ~ topological_space(cx,X1)
    | element_of_set(X6,interior(f13(a,cx,X1,X0),a,X5))
    | hausdorff(interior(f13(a,cx,X1,X0),X2,X3),X4)
    | ~ topological_space(interior(f13(a,cx,X1,X0),X2,X3),X4) ) ).

cnf(u607,negated_conjecture,
    ( ~ element_of_set(f11(X3,f14(f14(a,cx,ct,X0),cx,ct,X1)),sF1)
    | ~ subset_sets(f14(a,cx,ct,X0),a)
    | element_of_set(X2,a)
    | ~ subset_sets(f14(a,cx,ct,X0),cx)
    | ~ element_of_collection(f14(a,cx,ct,X0),X3)
    | element_of_collection(f14(f14(a,cx,ct,X0),cx,ct,X1),top_of_basis(X3))
    | element_of_set(X1,f14(f14(a,cx,ct,X0),cx,ct,X2))
    | element_of_set(X0,sF1) ) ).

cnf(u6645,negated_conjecture,
    ( basis(closure(X0,X1,X2),subspace_topology(X3,X4,closure(X0,X1,X2)))
    | ~ closed(sF1,X1,X2)
    | ~ subset_sets(X0,sF1)
    | ~ connected_set(closure(X0,X1,X2),X3,X4) ) ).

cnf(u853,axiom,
    ( ~ subset_sets(closure(X0,X1,X2),boundary(X0,X1,X2))
    | ~ element_of_collection(closure(X0,X1,X2),X3)
    | element_of_collection(boundary(X0,X1,X2),top_of_basis(X3)) ) ).

cnf(u8246,negated_conjecture,
    ( ~ element_of_set(f11(X0,closure(X1,X2,X3)),a)
    | element_of_set(f11(X4,a),a)
    | element_of_set(f11(X0,closure(X1,X2,X3)),union_of_members(X4))
    | ~ closed(interior(a,cx,X4),X2,X3)
    | ~ subset_sets(X1,interior(a,cx,X4))
    | element_of_collection(closure(X1,X2,X3),top_of_basis(X0)) ) ).

cnf(u1050,axiom,
    ( ~ subset_sets(X4,f13(X0,X1,X2,f7(interior(X0,X1,X2),X3)))
    | basis(interior(X0,X1,X2),X3)
    | ~ element_of_collection(X4,X5)
    | ~ topological_space(X0,X5)
    | ~ element_of_set(X6,X4)
    | ~ topological_space(interior(X0,X1,X2),X3)
    | element_of_set(X6,interior(f13(X0,X1,X2,f7(interior(X0,X1,X2),X3)),X0,X5)) ) ).

cnf(u11447,axiom,
    ( element_of_set(f20(X0,X1),interior(X2,X3,X4))
    | hausdorff(X0,X1) ) ).

cnf(u4051,negated_conjecture,
    ( element_of_set(f7(f10(X0,a,X1),X2),interior(a,cx,X0))
    | ~ element_of_collection(a,top_of_basis(X0))
    | ~ element_of_set(X1,a)
    | ~ topological_space(cx,X0)
    | basis(f10(X0,a,X1),X2)
    | ~ topological_space(f10(X0,a,X1),X2) ) ).

cnf(u426,negated_conjecture,
    ( element_of_set(f20(f1(ct,X0),X1),union_of_members(ct))
    | ~ element_of_set(X0,cx)
    | ~ topological_space(f1(ct,X0),X1)
    | hausdorff(f1(ct,X0),X1) ) ).

cnf(u1728,axiom,
    ( ~ element_of_set(X0,f13(X1,X2,X3,f20(sF1,X4)))
    | ~ topological_space(sF1,X4)
    | hausdorff(sF1,X4)
    | ~ closed(interior(X1,X2,X3),cx,ct)
    | ~ subset_sets(a,interior(X1,X2,X3))
    | element_of_set(X0,interior(X1,X2,X3)) ) ).

cnf(u1393,axiom,
    ( element_of_collection(f13(a,cx,ct,f7(sF0,X0)),ct)
    | basis(sF0,X0)
    | ~ topological_space(sF0,X0) ) ).

cnf(u7391,axiom,
    ( element_of_set(X13,interior(f14(f13(X0,X1,X2,f7(closure(X3,X4,X5),X6)),X7,X8,f11(X12,f14(closure(f13(X0,X1,X2,f7(closure(X3,X4,X5),X6)),X7,X8),X9,X10,X11))),X1,X2))
    | ~ element_of_collection(closure(f13(X0,X1,X2,f7(closure(X3,X4,X5),X6)),X7,X8),X12)
    | ~ subset_sets(f13(X0,X1,X2,f7(closure(X3,X4,X5),X6)),X7)
    | ~ topological_space(X7,X8)
    | element_of_set(X11,closure(closure(f13(X0,X1,X2,f7(closure(X3,X4,X5),X6)),X7,X8),X9,X10))
    | ~ subset_sets(closure(f13(X0,X1,X2,f7(closure(X3,X4,X5),X6)),X7,X8),X9)
    | ~ topological_space(X9,X10)
    | ~ closed(interior(X0,X1,X2),X4,X5)
    | basis(closure(X3,X4,X5),X6)
    | ~ topological_space(closure(X3,X4,X5),X6)
    | ~ subset_sets(f14(f13(X0,X1,X2,f7(closure(X3,X4,X5),X6)),X7,X8,f11(X12,f14(closure(f13(X0,X1,X2,f7(closure(X3,X4,X5),X6)),X7,X8),X9,X10,X11))),X1)
    | ~ element_of_set(X13,f13(X0,X1,X2,f7(closure(X3,X4,X5),X6)))
    | ~ subset_sets(X3,interior(X0,X1,X2))
    | element_of_collection(f14(closure(f13(X0,X1,X2,f7(closure(X3,X4,X5),X6)),X7,X8),X9,X10,X11),top_of_basis(X12)) ) ).

cnf(u8249,negated_conjecture,
    ( element_of_set(f7(interior(a,cx,X0),X1),union_of_members(X0))
    | element_of_set(f11(X0,a),a)
    | ~ element_of_set(f7(interior(a,cx,X0),X1),a)
    | ~ topological_space(interior(a,cx,X0),X1)
    | basis(interior(a,cx,X0),X1) ) ).

cnf(u3658,negated_conjecture,
    ( ~ subset_sets(f14(f13(X1,X2,X3,f11(X6,boundary(X0,X4,X5))),cx,ct,X7),X2)
    | element_of_collection(boundary(X0,X4,X5),top_of_basis(X6))
    | ~ subset_sets(X0,interior(X1,X2,X3))
    | ~ element_of_set(X8,f13(X1,X2,X3,f11(X6,boundary(X0,X4,X5))))
    | ~ closed(interior(X1,X2,X3),X4,X5)
    | element_of_set(X8,interior(f14(f13(X1,X2,X3,f11(X6,boundary(X0,X4,X5))),cx,ct,X7),X2,X3))
    | element_of_set(X7,f14(f13(X1,X2,X3,f11(X6,boundary(X0,X4,X5))),cx,ct,X9))
    | ~ subset_sets(f13(X1,X2,X3,f11(X6,boundary(X0,X4,X5))),a)
    | element_of_set(X9,a)
    | ~ subset_sets(f13(X1,X2,X3,f11(X6,boundary(X0,X4,X5))),cx) ) ).

cnf(subspace_topology_42,axiom,
    ( ~ element_of_collection(X0,subspace_topology(X1,X2,X3))
    | topological_space(X1,X2) ) ).

cnf(u588,axiom,
    ( element_of_collection(union_of_members(f24(intersection_of_sets(X0,X1),X2)),subspace_topology(X3,X4,X0))
    | compact_space(intersection_of_sets(X0,X1),X2)
    | ~ topological_space(X3,X4)
    | ~ subset_sets(X0,X3)
    | ~ element_of_collection(X1,X4)
    | ~ topological_space(intersection_of_sets(X0,X1),X2) ) ).

cnf(u1486,axiom,
    ( ~ element_of_set(f19(boundary(relative_complement_sets(X0,X1),X1,X2),X3),closure(X0,X1,X2))
    | ~ topological_space(boundary(relative_complement_sets(X0,X1),X1,X2),X3)
    | hausdorff(boundary(relative_complement_sets(X0,X1),X1,X2),X3)
    | element_of_set(f19(boundary(relative_complement_sets(X0,X1),X1,X2),X3),boundary(X0,X1,X2)) ) ).

cnf(u4014,axiom,
    ( element_of_set(f11(X0,f13(a,cx,ct,f19(sF0,X1))),f13(a,cx,ct,f19(sF0,X1)))
    | element_of_set(f19(sF0,X1),union_of_members(top_of_basis(X0)))
    | hausdorff(sF0,X1)
    | ~ topological_space(sF0,X1) ) ).

cnf(u257,negated_conjecture,
    ( ~ subset_sets(X2,f14(X0,cx,ct,X1))
    | ~ subset_sets(X0,cx)
    | element_of_set(X1,a)
    | ~ subset_sets(X2,cx)
    | ~ subset_sets(X0,a)
    | subset_sets(X2,f14(X2,cx,ct,X3))
    | element_of_set(X3,f14(X0,cx,ct,X1)) ) ).

cnf(u1183,negated_conjecture,
    ( element_of_set(X2,f14(a,cx,ct,f11(X0,X1)))
    | element_of_collection(X1,top_of_basis(X0))
    | ~ subset_sets(sF1,X1)
    | ~ element_of_set(X2,sF1)
    | ~ element_of_collection(sF1,X0) ) ).

cnf(u3843,axiom,
    ( element_of_set(f19(closure(X0,X1,X2),subspace_topology(X3,X4,closure(X0,X1,X2))),X5)
    | ~ subset_sets(X0,sF1)
    | hausdorff(closure(X0,X1,X2),subspace_topology(X3,X4,closure(X0,X1,X2)))
    | ~ closed(sF1,X1,X2)
    | ~ subset_sets(a,X5)
    | ~ closed(X5,cx,ct)
    | ~ compact_set(closure(X0,X1,X2),X3,X4) ) ).

cnf(u2300,axiom,
    ( element_of_collection(sF0,top_of_basis(subspace_topology(X0,X1,union_of_members(ct))))
    | ~ connected_set(union_of_members(ct),X0,X1) ) ).

cnf(u1628,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,f19(sF0,X4)),X1,X2)
    | ~ subset_sets(X0,f13(a,cx,ct,f19(sF0,X4)))
    | ~ topological_space(closure(X0,X1,X2),X3)
    | basis(closure(X0,X1,X2),X3)
    | element_of_set(f7(closure(X0,X1,X2),X3),sF0)
    | ~ topological_space(sF0,X4)
    | hausdorff(sF0,X4) ) ).

cnf(u11488,negated_conjecture,
    ( limit_point(X0,X2,X3,X4)
    | open(f13(a,a,X1,X0),a,X1) ) ).

cnf(u3630,axiom,
    ( ~ closed(f13(closure(X0,X1,X2),X3,X4,f11(X8,boundary(X7,X5,X6))),X1,X2)
    | ~ subset_sets(X7,interior(closure(X0,X1,X2),X3,X4))
    | element_of_collection(boundary(X7,X5,X6),top_of_basis(X8))
    | ~ closed(interior(closure(X0,X1,X2),X3,X4),X5,X6)
    | ~ subset_sets(X0,f13(closure(X0,X1,X2),X3,X4,f11(X8,boundary(X7,X5,X6))))
    | ~ element_of_collection(f13(closure(X0,X1,X2),X3,X4,f11(X8,boundary(X7,X5,X6))),X9)
    | element_of_collection(closure(X0,X1,X2),top_of_basis(X9)) ) ).

cnf(finer_topology_27,axiom,
    ( finer(X0,X1,X2)
    | ~ topological_space(X2,X0)
    | ~ topological_space(X2,X1)
    | ~ subset_collections(X1,X0) ) ).

cnf(u175,negated_conjecture,
    ( ~ element_of_collection(f13(a,cx,ct,X2),X0)
    | ~ element_of_set(X1,f13(a,cx,ct,X2))
    | ~ topological_space(cx,X0)
    | element_of_set(X1,interior(a,cx,X0))
    | ~ element_of_set(X2,sF0) ) ).

cnf(u3845,axiom,
    ( basis(closure(X0,X1,X2),subspace_topology(X3,X4,closure(X0,X1,X2)))
    | ~ compact_set(closure(X0,X1,X2),X3,X4)
    | topological_space(X1,X2) ) ).

cnf(u9687,negated_conjecture,
    ( element_of_collection(boundary(X0,cx,ct),top_of_basis(X1))
    | ~ subset_sets(X0,a)
    | ~ element_of_collection(sF0,X1)
    | ~ subset_sets(sF0,boundary(X0,cx,ct)) ) ).

cnf(u8183,negated_conjecture,
    ( element_of_collection(f1(top_of_basis(ct),X0),top_of_basis(ct))
    | ~ element_of_set(X0,a) ) ).

cnf(u3659,negated_conjecture,
    ( element_of_set(X8,interior(f14(f13(X1,X2,X3,f11(X6,boundary(X0,X4,X5))),cx,ct,X7),X2,X3))
    | element_of_collection(boundary(X0,X4,X5),top_of_basis(X6))
    | ~ subset_sets(f14(f13(X1,X2,X3,f11(X6,boundary(X0,X4,X5))),cx,ct,X7),X2)
    | ~ element_of_set(X8,f13(X1,X2,X3,f11(X6,boundary(X0,X4,X5))))
    | ~ closed(interior(X1,X2,X3),X4,X5)
    | ~ subset_sets(X0,interior(X1,X2,X3))
    | ~ subset_sets(f13(X1,X2,X3,f11(X6,boundary(X0,X4,X5))),a)
    | ~ subset_sets(f13(X1,X2,X3,f11(X6,boundary(X0,X4,X5))),cx)
    | element_of_set(X7,a) ) ).

cnf(u1067,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,f7(sF0,X4)),X2,X3)
    | basis(sF0,X4)
    | ~ topological_space(sF0,X4)
    | element_of_collection(closure(X1,X2,X3),top_of_basis(X0))
    | element_of_set(f11(X0,closure(X1,X2,X3)),sF0)
    | ~ subset_sets(X1,f13(a,cx,ct,f7(sF0,X4))) ) ).

cnf(u1328,negated_conjecture,
    ( ~ closed(f1(top_of_basis(X1),X0),X3,X4)
    | element_of_set(f11(X1,sF1),sF1)
    | element_of_set(f20(closure(X2,X3,X4),X5),union_of_members(top_of_basis(X1)))
    | hausdorff(closure(X2,X3,X4),X5)
    | ~ subset_sets(X2,f1(top_of_basis(X1),X0))
    | ~ element_of_set(X0,sF1)
    | ~ topological_space(closure(X2,X3,X4),X5) ) ).

cnf(u3547,axiom,
    ( ~ topological_space(X7,subspace_topology(X2,X3,X4))
    | ~ topological_space(X2,X3)
    | ~ subset_sets(X4,X2)
    | limit_point(X5,X0,X1,subspace_topology(X6,X3,X4))
    | ~ topological_space(X1,subspace_topology(X6,X3,X4))
    | element_of_set(X5,union_of_members(subspace_topology(X2,X3,X4)))
    | ~ subset_sets(X0,X7)
    | ~ subset_sets(X0,X1) ) ).

cnf(u721,axiom,
    ( ~ element_of_set(X7,f13(X0,X1,X2,f20(closure(X5,X3,X4),X6)))
    | ~ topological_space(closure(X5,X3,X4),X6)
    | hausdorff(closure(X5,X3,X4),X6)
    | ~ closed(interior(X0,X1,X2),X3,X4)
    | ~ subset_sets(X5,interior(X0,X1,X2))
    | element_of_set(X7,interior(X0,X1,X2)) ) ).

cnf(u6824,negated_conjecture,
    ( element_of_set(X4,interior(f14(f13(a,cx,ct,f7(sF0,X2)),X0,X1,X3),cx,ct))
    | ~ subset_sets(f13(a,cx,ct,f7(sF0,X2)),sF1)
    | ~ subset_sets(f13(a,cx,ct,f7(sF0,X2)),X0)
    | basis(sF0,X2)
    | ~ subset_sets(f14(f13(a,cx,ct,f7(sF0,X2)),X0,X1,X3),cx)
    | ~ element_of_set(X4,f13(a,cx,ct,f7(sF0,X2)))
    | ~ topological_space(sF0,X2)
    | ~ closed(sF1,X0,X1) ) ).

cnf(u9172,negated_conjecture,
    ( element_of_set(f19(f13(a,cx,X1,X0),X2),interior(a,cx,X1))
    | element_of_set(f11(X1,a),sF0)
    | ~ topological_space(cx,X1)
    | ~ element_of_set(X0,a)
    | ~ topological_space(f13(a,cx,X1,X0),X2)
    | hausdorff(f13(a,cx,X1,X0),X2) ) ).

cnf(u634,axiom,
    ( ~ topological_space(closure(X0,X1,X2),X3)
    | ~ subset_sets(X0,union_of_members(X4))
    | ~ closed(union_of_members(X4),X1,X2)
    | hausdorff(closure(X0,X1,X2),X3)
    | element_of_collection(f1(X4,f20(closure(X0,X1,X2),X3)),X4) ) ).

cnf(u7287,axiom,
    ( ~ closed(f13(a,cx,ct,f7(sF0,X0)),X2,X3)
    | basis(sF0,X0)
    | element_of_set(f19(closure(X1,X2,X3),X4),union_of_members(ct))
    | hausdorff(closure(X1,X2,X3),X4)
    | ~ subset_sets(X1,f13(a,cx,ct,f7(sF0,X0)))
    | ~ topological_space(sF0,X0)
    | ~ topological_space(closure(X1,X2,X3),X4) ) ).

cnf(u9572,negated_conjecture,
    ( ~ closed(f13(a,cx,X0,f11(subspace_topology(X2,X7,X1),interior(a,cx,X0))),X5,X6)
    | ~ topological_space(cx,X0)
    | subset_sets(X1,X2)
    | element_of_set(f11(X3,closure(X4,X5,X6)),interior(a,cx,X0))
    | element_of_set(X8,f10(X3,closure(X4,X5,X6),X8))
    | ~ element_of_set(X8,closure(X4,X5,X6))
    | element_of_set(f11(X0,a),a)
    | ~ subset_sets(X4,f13(a,cx,X0,f11(subspace_topology(X2,X7,X1),interior(a,cx,X0)))) ) ).

cnf(u4606,negated_conjecture,
    ( hausdorff(sF1,subspace_topology(X0,X1,sF1))
    | ~ connected_set(sF1,X0,X1) ) ).

cnf(u849,axiom,
    ( element_of_collection(boundary(X0,X1,X2),top_of_basis(X3))
    | subset_sets(X0,X1) ) ).

cnf(u8242,negated_conjecture,
    ( element_of_set(f20(interior(a,cx,X0),X1),union_of_members(X0))
    | element_of_set(f11(X0,a),a)
    | ~ element_of_set(f20(interior(a,cx,X0),X1),a)
    | hausdorff(interior(a,cx,X0),X1)
    | ~ topological_space(interior(a,cx,X0),X1) ) ).

cnf(u7138,axiom,
    ( ~ closed(f13(X0,X1,X2,f11(X7,closure(X5,X3,X4))),X9,X10)
    | ~ subset_sets(X5,interior(X0,X1,X2))
    | ~ element_of_set(X6,closure(X5,X3,X4))
    | element_of_set(X6,f10(X7,closure(X5,X3,X4),X6))
    | element_of_set(f20(closure(X8,X9,X10),X11),interior(X0,X1,X2))
    | hausdorff(closure(X8,X9,X10),X11)
    | ~ subset_sets(X8,f13(X0,X1,X2,f11(X7,closure(X5,X3,X4))))
    | ~ closed(interior(X0,X1,X2),X3,X4)
    | ~ topological_space(closure(X8,X9,X10),X11) ) ).

cnf(u1720,axiom,
    ( ~ closed(f13(X4,X5,X6,f20(closure(X0,X1,X2),X3)),X8,X9)
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ closed(interior(X4,X5,X6),X1,X2)
    | ~ subset_sets(X0,interior(X4,X5,X6))
    | element_of_set(f7(closure(X7,X8,X9),X10),interior(X4,X5,X6))
    | ~ topological_space(closure(X7,X8,X9),X10)
    | ~ subset_sets(X7,f13(X4,X5,X6,f20(closure(X0,X1,X2),X3)))
    | ~ topological_space(closure(X0,X1,X2),X3)
    | basis(closure(X7,X8,X9),X10) ) ).

cnf(u3965,negated_conjecture,
    ( element_of_set(f11(X0,f14(X1,cx,ct,X2)),f14(X1,cx,ct,X2))
    | closed(f14(X1,cx,ct,X3),cx,ct)
    | element_of_set(X3,union_of_members(top_of_basis(X0)))
    | ~ subset_sets(X1,a)
    | element_of_set(X2,a)
    | ~ subset_sets(X1,cx) ) ).

cnf(u438,axiom,
    ( element_of_collection(f12(X0,X1,X2,f21(X3,subspace_topology(X0,X1,X2))),X1)
    | connected_space(X3,subspace_topology(X0,X1,X2))
    | ~ topological_space(X3,subspace_topology(X0,X1,X2)) ) ).

cnf(u1196,axiom,
    ( element_of_set(X4,interior(f14(relative_complement_sets(X1,X2),X2,X3,X0),X2,X5))
    | ~ element_of_set(X0,closure(X1,X2,X3))
    | ~ subset_sets(relative_complement_sets(X1,X2),X2)
    | ~ subset_sets(f14(relative_complement_sets(X1,X2),X2,X3,X0),X2)
    | ~ element_of_set(X4,relative_complement_sets(X1,X2))
    | ~ closed(X1,X2,X5)
    | element_of_set(X0,boundary(X1,X2,X3)) ) ).

cnf(u7066,axiom,
    ( closed(f14(relative_complement_sets(X4,X5),X5,X6,f11(X0,closure(X1,X2,X3))),X5,X6)
    | element_of_set(X7,f10(X0,closure(X1,X2,X3),X7))
    | ~ closed(closure(X4,X5,X6),X2,X3)
    | ~ subset_sets(X1,closure(X4,X5,X6))
    | element_of_set(f11(X0,closure(X1,X2,X3)),boundary(X4,X5,X6))
    | ~ element_of_set(X7,closure(X1,X2,X3))
    | ~ subset_sets(relative_complement_sets(X4,X5),X5) ) ).

cnf(u9918,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X0,X1,X2),f13(f14(f13(a,cx,ct,X3),cx,ct,X4),cx,ct,X5)),f13(f14(f13(a,cx,ct,X3),cx,ct,X4),cx,ct,X5))
    | topological_space(X0,X1)
    | ~ subset_sets(f14(f13(a,cx,ct,X3),cx,ct,X4),cx)
    | ~ element_of_set(X5,f13(a,cx,ct,X3))
    | ~ element_of_set(X3,sF0)
    | ~ subset_sets(f13(a,cx,ct,X3),cx)
    | element_of_set(X4,a) ) ).

cnf(u3626,axiom,
    ( ~ subset_sets(X7,f13(X0,X1,X2,f11(X6,boundary(X5,X3,X4))))
    | ~ subset_sets(X5,interior(X0,X1,X2))
    | element_of_collection(boundary(X5,X3,X4),top_of_basis(X6))
    | ~ element_of_collection(X7,X8)
    | ~ topological_space(X0,X8)
    | ~ element_of_set(X9,X7)
    | ~ closed(interior(X0,X1,X2),X3,X4)
    | element_of_set(X9,interior(f13(X0,X1,X2,f11(X6,boundary(X5,X3,X4))),X0,X8)) ) ).

cnf(u1336,negated_conjecture,
    ( subset_collections(f5(X0,ct),ct)
    | topological_space(X0,ct)
    | ~ element_of_collection(X0,ct)
    | ~ basis(X0,ct) ) ).

cnf(u9045,negated_conjecture,
    ( element_of_set(f20(closure(X0,X1,X2),X3),sF0)
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ subset_sets(X0,a)
    | ~ closed(a,X1,X2)
    | ~ topological_space(closure(X0,X1,X2),X3) ) ).

cnf(closure_54,axiom,
    ( ~ element_of_set(X0,closure(X1,X2,X3))
    | subset_sets(X1,X2) ) ).

cnf(u247,axiom,
    ( ~ element_of_set(X0,relative_complement_sets(X1,X2))
    | element_of_set(X0,union_of_members(X3))
    | ~ closed(X1,X2,X3) ) ).

cnf(u15616,axiom,
    ( open_covering(f23(X0,X1,X2),X0,X3)
    | ~ open_covering(X2,X0,X1)
    | ~ subset_collections(f23(X0,X1,X2),X3)
    | ~ compact_space(X0,X1) ) ).

cnf(u8227,negated_conjecture,
    ( ~ closed(f13(a,cx,X1,X0),X4,X5)
    | ~ topological_space(cx,X1)
    | element_of_set(f11(X1,a),a)
    | element_of_set(f11(X2,closure(X3,X4,X5)),union_of_members(X1))
    | element_of_collection(closure(X3,X4,X5),top_of_basis(X2))
    | ~ element_of_set(X0,a)
    | ~ subset_sets(X3,f13(a,cx,X1,X0)) ) ).

cnf(u935,negated_conjecture,
    ( element_of_set(f7(f13(a,cx,ct,f11(X0,sF0)),X1),sF0)
    | element_of_collection(sF0,top_of_basis(X0))
    | basis(f13(a,cx,ct,f11(X0,sF0)),X1)
    | ~ topological_space(f13(a,cx,ct,f11(X0,sF0)),X1) ) ).

cnf(u7003,axiom,
    ( element_of_set(X0,f10(X3,f13(X1,X2,top_of_basis(X3),f11(X4,closure(X5,X6,X7))),X0))
    | ~ element_of_set(X0,f13(X1,X2,top_of_basis(X3),f11(X4,closure(X5,X6,X7))))
    | ~ subset_sets(X5,interior(X1,X2,top_of_basis(X3)))
    | element_of_collection(closure(X5,X6,X7),top_of_basis(X4))
    | ~ closed(interior(X1,X2,top_of_basis(X3)),X6,X7) ) ).

cnf(u3672,axiom,
    ( element_of_set(f20(f13(X4,X5,X6,f11(X3,boundary(X0,X1,X2))),X7),interior(X4,X5,X6))
    | ~ subset_sets(X0,interior(X4,X5,X6))
    | ~ closed(interior(X4,X5,X6),X1,X2)
    | element_of_collection(boundary(X0,X1,X2),top_of_basis(X3))
    | ~ topological_space(f13(X4,X5,X6,f11(X3,boundary(X0,X1,X2))),X7)
    | hausdorff(f13(X4,X5,X6,f11(X3,boundary(X0,X1,X2))),X7) ) ).

cnf(u4086,axiom,
    ( element_of_set(f19(sF0,X0),union_of_members(top_of_basis(X1)))
    | element_of_set(f11(X1,union_of_members(ct)),union_of_members(ct))
    | hausdorff(sF0,X0)
    | ~ topological_space(sF0,X0) ) ).

cnf(u9799,axiom,
    ( element_of_set(X2,f10(X0,f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))),X2))
    | ~ element_of_set(X2,f1(top_of_basis(X0),f11(X1,union_of_members(top_of_basis(X0)))))
    | element_of_collection(union_of_members(top_of_basis(X0)),top_of_basis(X1)) ) ).

cnf(u7090,axiom,
    ( ~ closed(f10(X4,closure(X1,X2,X3),X5),X2,X3)
    | ~ element_of_set(X0,closure(X1,X2,X3))
    | ~ subset_sets(X1,f10(X4,closure(X1,X2,X3),X5))
    | ~ element_of_collection(f10(X4,closure(X1,X2,X3),X5),X6)
    | element_of_set(X0,f10(X6,closure(X1,X2,X3),X0))
    | ~ element_of_set(X5,closure(X1,X2,X3))
    | ~ element_of_collection(closure(X1,X2,X3),top_of_basis(X4)) ) ).

cnf(topology_generated_39,axiom,
    ( subset_sets(f10(X1,X0,X2),X0)
    | ~ element_of_set(X2,X0)
    | ~ element_of_collection(X0,top_of_basis(X1)) ) ).

cnf(u9498,negated_conjecture,
    ( ~ subset_sets(sF0,closure(X0,X1,X2))
    | ~ closed(a,X1,X2)
    | ~ subset_sets(X0,a)
    | ~ element_of_collection(sF0,X3)
    | element_of_collection(closure(X0,X1,X2),top_of_basis(X3)) ) ).

cnf(u4023,negated_conjecture,
    ( element_of_set(f20(f13(a,cx,ct,f20(sF0,X1)),X2),union_of_members(top_of_basis(X0)))
    | element_of_set(f11(X0,sF0),sF0)
    | ~ topological_space(sF0,X1)
    | hausdorff(sF0,X1)
    | ~ topological_space(f13(a,cx,ct,f20(sF0,X1)),X2)
    | hausdorff(f13(a,cx,ct,f20(sF0,X1)),X2) ) ).

cnf(u7001,axiom,
    ( element_of_set(X0,f10(X2,f22(X1,top_of_basis(X2)),X0))
    | ~ element_of_set(X0,f22(X1,top_of_basis(X2)))
    | connected_space(X1,top_of_basis(X2))
    | ~ topological_space(X1,top_of_basis(X2)) ) ).

cnf(u882,negated_conjecture,
    ( ~ subset_sets(a,f14(X1,cx,ct,X2))
    | ~ element_of_set(X0,sF1)
    | element_of_set(f11(X3,sF1),f14(X1,cx,ct,X2))
    | element_of_set(X0,union_of_members(top_of_basis(X3)))
    | element_of_set(X2,closure(X1,cx,ct))
    | ~ subset_sets(X1,cx) ) ).

cnf(u10492,axiom,
    ( ~ element_of_set(X8,f13(X0,X1,X2,f20(closure(X5,X3,X4),X6)))
    | hausdorff(closure(X5,X3,X4),X6)
    | ~ closed(interior(X0,X1,X2),X3,X4)
    | element_of_set(X8,interior(X7,X1,X2)) ) ).

cnf(u7301,axiom,
    ( element_of_set(f11(X7,f13(X4,X5,X6,f7(closure(X0,X1,X2),X3))),interior(X4,X5,X6))
    | ~ topological_space(closure(X0,X1,X2),X3)
    | ~ closed(interior(X4,X5,X6),X1,X2)
    | ~ subset_sets(X0,interior(X4,X5,X6))
    | basis(closure(X0,X1,X2),X3)
    | element_of_collection(f13(X4,X5,X6,f7(closure(X0,X1,X2),X3)),top_of_basis(X7)) ) ).

cnf(u1623,axiom,
    ( ~ closed(f13(a,cx,ct,X4),X1,X2)
    | ~ subset_sets(X0,f13(a,cx,ct,X4))
    | ~ topological_space(closure(X0,X1,X2),X3)
    | basis(closure(X0,X1,X2),X3)
    | element_of_set(f7(closure(X0,X1,X2),X3),union_of_members(ct))
    | ~ element_of_set(X4,sF0) ) ).

cnf(u9792,negated_conjecture,
    ( ~ subset_sets(X3,f13(a,cx,X0,f20(f13(a,cx,X0,X1),X2)))
    | element_of_set(f11(X0,a),a)
    | ~ topological_space(f13(a,cx,X0,X1),X2)
    | hausdorff(f13(a,cx,X0,X1),X2)
    | ~ element_of_set(X1,a)
    | ~ element_of_collection(X3,X4)
    | ~ topological_space(a,X4)
    | ~ element_of_set(X5,X3)
    | ~ topological_space(cx,X0)
    | element_of_set(X5,interior(f13(a,cx,X0,f20(f13(a,cx,X0,X1),X2)),a,X4)) ) ).

cnf(u7441,negated_conjecture,
    ( ~ topological_space(f14(a,cx,ct,f11(X3,f14(sF1,X0,X1,X2))),X5)
    | ~ element_of_collection(sF1,X3)
    | element_of_set(X2,closure(sF1,X0,X1))
    | ~ subset_sets(sF1,X0)
    | ~ topological_space(X0,X1)
    | ~ element_of_collection(X4,X5)
    | element_of_collection(f14(sF1,X0,X1,X2),top_of_basis(X3))
    | ~ element_of_set(X6,X4)
    | ~ subset_sets(X4,a)
    | element_of_set(X6,interior(a,f14(a,cx,ct,f11(X3,f14(sF1,X0,X1,X2))),X5)) ) ).

cnf(u7357,negated_conjecture,
    ( ~ closed(boundary(X2,X0,X1),X5,X6)
    | ~ subset_sets(X2,sF0)
    | element_of_collection(closure(X4,X5,X6),top_of_basis(X3))
    | ~ closed(sF0,X0,X1)
    | ~ subset_sets(X4,boundary(X2,X0,X1)) ) ).

cnf(open_set_20,axiom,
    ( open(X0,X1,X2)
    | ~ topological_space(X1,X2)
    | ~ element_of_collection(X0,X2) ) ).

cnf(u3842,axiom,
    ( hausdorff(interior(X0,X1,X2),subspace_topology(X3,X4,interior(X0,X1,X2)))
    | ~ compact_set(interior(X0,X1,X2),X3,X4)
    | subset_sets(X0,X1) ) ).

cnf(u9210,negated_conjecture,
    ( element_of_collection(f12(X0,X1,X2,f13(a,cx,subspace_topology(X0,X1,X2),X3)),X1)
    | ~ element_of_set(X3,a)
    | ~ topological_space(cx,subspace_topology(X0,X1,X2))
    | element_of_set(f11(subspace_topology(X0,X1,X2),a),sF0) ) ).

cnf(u4169,axiom,
    ( ~ topological_space(closure(X4,X5,X6),X7)
    | element_of_set(f11(subspace_topology(X1,X2,X0),X3),X3)
    | hausdorff(closure(X4,X5,X6),X7)
    | ~ subset_sets(X4,X3)
    | ~ closed(X3,X5,X6)
    | subset_sets(X0,X1) ) ).

cnf(u7363,axiom,
    ( element_of_set(f7(f9(X0,X1),X2),union_of_members(X1))
    | basis(X0,X1)
    | ~ topological_space(X0,X1)
    | basis(f9(X0,X1),X2)
    | ~ topological_space(f9(X0,X1),X2) ) ).

cnf(u7485,negated_conjecture,
    ( element_of_set(X2,f10(X0,f13(a,cx,ct,X1),X2))
    | element_of_set(f11(X0,f13(a,cx,ct,X1)),sF0)
    | ~ element_of_set(X2,f13(a,cx,ct,X1))
    | ~ element_of_set(X1,sF0) ) ).

cnf(u9550,negated_conjecture,
    ( element_of_set(X7,interior(f14(f13(a,cx,X0,f11(subspace_topology(X1,X2,X3),interior(a,cx,X0))),X4,X5,X6),cx,X0))
    | element_of_set(f11(X0,a),a)
    | ~ subset_sets(f14(f13(a,cx,X0,f11(subspace_topology(X1,X2,X3),interior(a,cx,X0))),X4,X5,X6),cx)
    | ~ element_of_set(X7,f13(a,cx,X0,f11(subspace_topology(X1,X2,X3),interior(a,cx,X0))))
    | subset_sets(X3,X1)
    | ~ topological_space(cx,X0)
    | ~ closed(sF1,X4,X5)
    | ~ subset_sets(f13(a,cx,X0,f11(subspace_topology(X1,X2,X3),interior(a,cx,X0))),sF1)
    | ~ subset_sets(f13(a,cx,X0,f11(subspace_topology(X1,X2,X3),interior(a,cx,X0))),X4) ) ).

cnf(u434,negated_conjecture,
    ( element_of_set(X0,f1(ct,X0))
    | ~ element_of_set(X0,empty_set) ) ).

cnf(u7119,axiom,
    ( ~ closed(interior(X2,X3,X4),cx,ct)
    | subset_sets(f13(X2,X3,X4,f11(X1,sF1)),X2)
    | element_of_set(X0,f10(X1,sF1,X0))
    | ~ subset_sets(a,interior(X2,X3,X4))
    | ~ element_of_set(X0,sF1) ) ).

cnf(u3891,negated_conjecture,
    ( ~ subset_sets(a,f14(a,cx,ct,f11(X3,f14(sF1,X0,X1,X2))))
    | ~ element_of_collection(sF1,X3)
    | element_of_set(X2,closure(sF1,X0,X1))
    | ~ subset_sets(sF1,X0)
    | ~ topological_space(X0,X1)
    | hausdorff(sF1,X4)
    | element_of_collection(f14(sF1,X0,X1,X2),top_of_basis(X3))
    | element_of_set(f20(sF1,X4),f14(a,cx,ct,f11(X3,f14(sF1,X0,X1,X2))))
    | ~ topological_space(sF1,X4) ) ).

cnf(u3703,axiom,
    ( ~ element_of_set(X0,f8(X1,top_of_basis(subspace_topology(X2,X3,X4))))
    | topological_space(X2,X3)
    | basis(X1,top_of_basis(subspace_topology(X2,X3,X4)))
    | ~ topological_space(X1,top_of_basis(subspace_topology(X2,X3,X4))) ) ).

cnf(u1901,axiom,
    ( ~ subset_sets(a,f14(relative_complement_sets(a,cx),cx,ct,X0))
    | element_of_set(X0,boundary(a,cx,ct))
    | ~ topological_space(sF1,X1)
    | ~ element_of_set(X0,sF1)
    | element_of_set(f7(sF1,X1),f14(relative_complement_sets(a,cx),cx,ct,X0))
    | basis(sF1,X1) ) ).

cnf(u10296,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,f7(closure(X4,X5,X6),X7)),X2,X3)
    | ~ element_of_set(X8,closure(X1,X2,X3))
    | element_of_set(X8,f10(X0,closure(X1,X2,X3),X8))
    | ~ closed(sF0,X5,X6)
    | basis(closure(X4,X5,X6),X7) ) ).

cnf(interior_50,axiom,
    ( ~ element_of_set(X0,interior(X1,X2,X3))
    | subset_sets(f13(X1,X2,X3,X0),X1) ) ).

cnf(u3631,negated_conjecture,
    ( closed(f14(f13(f14(X0,cx,ct,X1),X2,X3,f11(X7,boundary(X6,X4,X5))),cx,ct,X8),cx,ct)
    | ~ subset_sets(X6,interior(f14(X0,cx,ct,X1),X2,X3))
    | element_of_collection(boundary(X6,X4,X5),top_of_basis(X7))
    | ~ subset_sets(X0,cx)
    | element_of_set(X1,a)
    | ~ subset_sets(f13(f14(X0,cx,ct,X1),X2,X3,f11(X7,boundary(X6,X4,X5))),cx)
    | ~ subset_sets(X0,a)
    | ~ closed(interior(f14(X0,cx,ct,X1),X2,X3),X4,X5)
    | element_of_set(X8,f14(X0,cx,ct,X1)) ) ).

cnf(u8239,negated_conjecture,
    ( element_of_set(f11(X1,a),a)
    | element_of_set(X0,union_of_members(X1))
    | ~ topological_space(cx,X1)
    | ~ element_of_set(X0,a) ) ).

cnf(u7704,negated_conjecture,
    ( ~ closed(f13(a,cx,X0,X1),X3,X4)
    | ~ element_of_set(X1,a)
    | ~ topological_space(cx,X0)
    | element_of_set(f7(closure(X2,X3,X4),X5),interior(a,cx,X0))
    | ~ topological_space(closure(X2,X3,X4),X5)
    | ~ subset_sets(X2,f13(a,cx,X0,X1))
    | element_of_set(f11(X0,a),a)
    | basis(closure(X2,X3,X4),X5) ) ).

cnf(u6837,negated_conjecture,
    ( element_of_set(X10,interior(f14(f13(X2,X3,X4,f11(X5,closure(X6,X7,X8))),X0,X1,X9),X3,X4))
    | ~ subset_sets(f13(X2,X3,X4,f11(X5,closure(X6,X7,X8))),sF1)
    | ~ subset_sets(f13(X2,X3,X4,f11(X5,closure(X6,X7,X8))),X0)
    | ~ subset_sets(X6,interior(X2,X3,X4))
    | element_of_collection(closure(X6,X7,X8),top_of_basis(X5))
    | ~ subset_sets(f14(f13(X2,X3,X4,f11(X5,closure(X6,X7,X8))),X0,X1,X9),X3)
    | ~ element_of_set(X10,f13(X2,X3,X4,f11(X5,closure(X6,X7,X8))))
    | ~ closed(interior(X2,X3,X4),X7,X8)
    | ~ closed(sF1,X0,X1) ) ).

cnf(u265,axiom,
    ( eq_p(f20(intersection_of_sets(f16(X0,X1,X2,X3),X1),X4),X0)
    | hausdorff(intersection_of_sets(f16(X0,X1,X2,X3),X1),X4)
    | ~ topological_space(X2,X3)
    | ~ subset_sets(X1,X2)
    | limit_point(X0,X1,X2,X3)
    | ~ topological_space(intersection_of_sets(f16(X0,X1,X2,X3),X1),X4) ) ).

cnf(u6834,negated_conjecture,
    ( element_of_set(X7,interior(f14(f13(X2,X3,X4,f20(interior(X2,X3,X4),X5)),X0,X1,X6),X3,X4))
    | ~ subset_sets(f13(X2,X3,X4,f20(interior(X2,X3,X4),X5)),sF1)
    | ~ subset_sets(f13(X2,X3,X4,f20(interior(X2,X3,X4),X5)),X0)
    | ~ topological_space(interior(X2,X3,X4),X5)
    | ~ subset_sets(f14(f13(X2,X3,X4,f20(interior(X2,X3,X4),X5)),X0,X1,X6),X3)
    | ~ element_of_set(X7,f13(X2,X3,X4,f20(interior(X2,X3,X4),X5)))
    | hausdorff(interior(X2,X3,X4),X5)
    | ~ closed(sF1,X0,X1) ) ).

cnf(u7037,axiom,
    ( ~ closed(interior(X4,X5,X6),X2,X3)
    | ~ element_of_set(X7,closure(X1,X2,X3))
    | element_of_set(X7,f10(X0,closure(X1,X2,X3),X7))
    | ~ subset_sets(X1,interior(X4,X5,X6))
    | subset_sets(X4,X5) ) ).

cnf(u3592,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,f11(X4,closure(X5,X6,X7))),X2,X3)
    | element_of_collection(boundary(X1,X2,X3),top_of_basis(X0))
    | ~ subset_sets(X1,f13(a,cx,ct,f11(X4,closure(X5,X6,X7))))
    | ~ subset_sets(X5,sF0)
    | ~ closed(sF0,X6,X7)
    | element_of_collection(closure(X5,X6,X7),top_of_basis(X4))
    | element_of_set(f11(X0,boundary(X1,X2,X3)),sF0) ) ).

cnf(u3964,negated_conjecture,
    ( element_of_set(f11(X0,f14(X1,cx,ct,X2)),f14(X1,cx,ct,X2))
    | subset_sets(X1,f14(X1,cx,ct,X3))
    | element_of_set(X3,union_of_members(top_of_basis(X0)))
    | ~ subset_sets(X1,a)
    | element_of_set(X2,a)
    | ~ subset_sets(X1,cx) ) ).

cnf(u7671,negated_conjecture,
    ( ~ subset_sets(f13(a,cx,X0,X1),X2)
    | ~ element_of_set(X1,a)
    | element_of_set(f11(X0,a),a)
    | ~ subset_sets(X2,cx)
    | ~ element_of_set(X3,f13(a,cx,X0,X1))
    | ~ topological_space(cx,X0)
    | element_of_set(X3,interior(X2,cx,X0)) ) ).

cnf(basis_for_topology_35,axiom,
    ( 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) ) ).

cnf(u3353,axiom,
    ( ~ topological_space(boundary(a,cx,ct),X1)
    | ~ element_of_collection(X0,X1)
    | ~ element_of_set(X2,X0)
    | ~ subset_sets(X0,sF1)
    | element_of_set(X2,interior(sF1,boundary(a,cx,ct),X1)) ) ).

cnf(u1737,axiom,
    ( ~ topological_space(f13(X1,X2,X3,f20(sF1,X0)),X4)
    | hausdorff(sF1,X0)
    | ~ closed(interior(X1,X2,X3),cx,ct)
    | ~ subset_sets(a,interior(X1,X2,X3))
    | element_of_set(f20(f13(X1,X2,X3,f20(sF1,X0)),X4),interior(X1,X2,X3))
    | ~ topological_space(sF1,X0)
    | hausdorff(f13(X1,X2,X3,f20(sF1,X0)),X4) ) ).

cnf(u8205,axiom,
    ( ~ topological_space(f13(X1,X2,X3,f11(X4,interior(X1,X2,X3))),X5)
    | element_of_set(X0,f10(X4,interior(X1,X2,X3),X0))
    | element_of_set(f20(f13(X1,X2,X3,f11(X4,interior(X1,X2,X3))),X5),interior(X1,X2,X3))
    | ~ element_of_set(X0,interior(X1,X2,X3))
    | hausdorff(f13(X1,X2,X3,f11(X4,interior(X1,X2,X3))),X5) ) ).

cnf(u9644,negated_conjecture,
    ( element_of_set(X10,interior(f14(f13(a,cx,X0,f11(subspace_topology(X1,X2,X3),interior(a,cx,X0))),X4,X5,f11(X6,f14(closure(f13(a,cx,X0,f11(subspace_topology(X1,X2,X3),interior(a,cx,X0))),X4,X5),X7,X8,X9))),cx,X0))
    | ~ topological_space(cx,X0)
    | ~ subset_sets(f14(f13(a,cx,X0,f11(subspace_topology(X1,X2,X3),interior(a,cx,X0))),X4,X5,f11(X6,f14(closure(f13(a,cx,X0,f11(subspace_topology(X1,X2,X3),interior(a,cx,X0))),X4,X5),X7,X8,X9))),cx)
    | ~ element_of_set(X10,f13(a,cx,X0,f11(subspace_topology(X1,X2,X3),interior(a,cx,X0))))
    | subset_sets(X3,X1)
    | element_of_set(f11(X0,a),sF0)
    | element_of_collection(f14(closure(f13(a,cx,X0,f11(subspace_topology(X1,X2,X3),interior(a,cx,X0))),X4,X5),X7,X8,X9),top_of_basis(X6))
    | ~ element_of_collection(closure(f13(a,cx,X0,f11(subspace_topology(X1,X2,X3),interior(a,cx,X0))),X4,X5),X6)
    | ~ subset_sets(f13(a,cx,X0,f11(subspace_topology(X1,X2,X3),interior(a,cx,X0))),X4)
    | ~ topological_space(X4,X5)
    | element_of_set(X9,closure(closure(f13(a,cx,X0,f11(subspace_topology(X1,X2,X3),interior(a,cx,X0))),X4,X5),X7,X8))
    | ~ subset_sets(closure(f13(a,cx,X0,f11(subspace_topology(X1,X2,X3),interior(a,cx,X0))),X4,X5),X7)
    | ~ topological_space(X7,X8) ) ).

cnf(u7025,axiom,
    ( ~ closed(f1(X4,X5),X2,X3)
    | ~ element_of_set(X6,closure(X1,X2,X3))
    | element_of_set(X6,f10(X0,closure(X1,X2,X3),X6))
    | ~ subset_sets(X1,f1(X4,X5))
    | ~ topological_space(X7,X4)
    | ~ subset_sets(X8,X7)
    | limit_point(X5,X8,X7,X4)
    | element_of_set(f11(X0,closure(X1,X2,X3)),union_of_members(X4)) ) ).

cnf(u1166,negated_conjecture,
    ( subset_sets(a,f14(a,cx,ct,f11(X1,X0)))
    | ~ element_of_collection(sF1,X1)
    | element_of_collection(X0,top_of_basis(X1))
    | ~ subset_sets(sF1,X0) ) ).

cnf(u3972,negated_conjecture,
    ( element_of_set(f11(X0,f14(a,cx,ct,X1)),f14(a,cx,ct,X1))
    | element_of_set(f7(sF1,X2),union_of_members(top_of_basis(X0)))
    | ~ topological_space(sF1,X2)
    | element_of_set(X1,sF1)
    | basis(sF1,X2) ) ).

cnf(u451,negated_conjecture,
    ( ~ subset_sets(f13(a,cx,ct,f19(sF0,X0)),X1)
    | ~ topological_space(sF0,X0)
    | ~ subset_sets(X1,cx)
    | ~ element_of_set(X2,f13(a,cx,ct,f19(sF0,X0)))
    | hausdorff(sF0,X0)
    | element_of_set(X2,interior(X1,cx,ct)) ) ).

cnf(u597,negated_conjecture,
    ( subset_sets(X0,f14(X0,cx,ct,X2))
    | element_of_set(X2,f14(X0,cx,ct,X1))
    | ~ subset_sets(X0,a)
    | element_of_set(X1,a)
    | ~ subset_sets(X0,cx) ) ).

cnf(u1306,negated_conjecture,
    ( ~ element_of_set(X3,f1(top_of_basis(X0),X1))
    | element_of_set(X2,sF1)
    | ~ element_of_set(X1,sF1)
    | element_of_set(f11(X0,sF1),f14(a,cx,ct,X2))
    | element_of_set(X3,union_of_members(top_of_basis(X0))) ) ).

cnf(topological_space_16,axiom,
    ( ~ element_of_collection(intersection_of_sets(f3(X0,X1),f4(X0,X1)),X1)
    | ~ equal_sets(union_of_members(X1),X0)
    | ~ element_of_collection(empty_set,X1)
    | ~ element_of_collection(X0,X1)
    | topological_space(X0,X1)
    | subset_collections(f5(X0,X1),X1) ) ).

cnf(u9479,negated_conjecture,
    ( ~ closed(f13(a,cx,X1,X0),X4,X5)
    | ~ topological_space(cx,X1)
    | element_of_set(f11(X1,a),sF0)
    | element_of_set(f11(X2,boundary(X3,X4,X5)),union_of_members(X1))
    | element_of_collection(boundary(X3,X4,X5),top_of_basis(X2))
    | ~ element_of_set(X0,a)
    | ~ subset_sets(X3,f13(a,cx,X1,X0)) ) ).

cnf(u7579,negated_conjecture,
    ( ~ element_of_collection(f13(a,cx,X0,X1),X2)
    | ~ element_of_set(X1,a)
    | element_of_set(f11(X0,a),a)
    | ~ topological_space(cx,X2)
    | ~ element_of_set(X3,f13(a,cx,X0,X1))
    | ~ topological_space(cx,X0)
    | element_of_set(X3,interior(a,cx,X2)) ) ).

cnf(u1056,axiom,
    ( subset_sets(f13(a,cx,ct,f7(sF0,X0)),a)
    | ~ topological_space(sF0,X0)
    | basis(sF0,X0) ) ).

cnf(u9094,negated_conjecture,
    ( ~ element_of_collection(f13(a,cx,X0,X1),X2)
    | ~ element_of_set(X1,a)
    | element_of_set(f11(X0,a),sF0)
    | ~ topological_space(cx,X2)
    | ~ element_of_set(X3,f13(a,cx,X0,X1))
    | ~ topological_space(cx,X0)
    | element_of_set(X3,interior(a,cx,X2)) ) ).

cnf(u367,negated_conjecture,
    ( element_of_set(f19(f13(a,cx,ct,f19(sF0,X0)),X1),sF0)
    | ~ topological_space(sF0,X0)
    | hausdorff(sF0,X0)
    | ~ topological_space(f13(a,cx,ct,f19(sF0,X0)),X1)
    | hausdorff(f13(a,cx,ct,f19(sF0,X0)),X1) ) ).

cnf(u4042,axiom,
    ( ~ closed(f13(X4,X5,X6,f11(X3,closure(X0,X1,X2))),X8,X9)
    | ~ subset_sets(X0,interior(X4,X5,X6))
    | ~ closed(interior(X4,X5,X6),X1,X2)
    | element_of_set(f19(closure(X7,X8,X9),X10),interior(X4,X5,X6))
    | hausdorff(closure(X7,X8,X9),X10)
    | ~ subset_sets(X7,f13(X4,X5,X6,f11(X3,closure(X0,X1,X2))))
    | element_of_collection(closure(X0,X1,X2),top_of_basis(X3))
    | ~ topological_space(closure(X7,X8,X9),X10) ) ).

cnf(u3644,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,f11(X3,boundary(X0,X1,X2))),X6,X7)
    | ~ closed(sF0,X1,X2)
    | element_of_collection(boundary(X0,X1,X2),top_of_basis(X3))
    | element_of_set(f11(X4,closure(X5,X6,X7)),sF0)
    | element_of_collection(closure(X5,X6,X7),top_of_basis(X4))
    | ~ subset_sets(X0,sF0)
    | ~ subset_sets(X5,f13(a,cx,ct,f11(X3,boundary(X0,X1,X2)))) ) ).

cnf(u3914,axiom,
    ( element_of_collection(union_of_members(f24(X0,subspace_topology(X1,X2,X3))),subspace_topology(X1,X2,X3))
    | compact_space(X0,subspace_topology(X1,X2,X3))
    | ~ topological_space(X0,subspace_topology(X1,X2,X3))
    | ~ connected_set(X3,X1,X2) ) ).

cnf(u298,axiom,
    ( ~ neighborhood(X2,f19(X0,X1),X0,X1)
    | hausdorff(X0,X1)
    | ~ disjoint_s(X2,X3)
    | ~ open(X3,X0,X1)
    | ~ element_of_set(f20(X0,X1),X3) ) ).

cnf(u1576,axiom,
    ( ~ subset_sets(union_of_members(X2),X1)
    | ~ subset_sets(X3,X4)
    | ~ topological_space(X4,X2)
    | element_of_collection(X1,top_of_basis(X0))
    | ~ element_of_collection(union_of_members(X2),X0)
    | limit_point(f11(X0,X1),X3,X4,X2) ) ).

cnf(u446,axiom,
    ( open(f13(a,cx,ct,f19(sF0,X0)),cx,ct)
    | hausdorff(sF0,X0)
    | ~ topological_space(sF0,X0) ) ).

cnf(u1204,axiom,
    ( ~ topological_space(interior(X0,X1,subspace_topology(X2,X3,X4)),X5)
    | hausdorff(interior(X0,X1,subspace_topology(X2,X3,X4)),X5)
    | subset_sets(X4,X2) ) ).

cnf(u718,negated_conjecture,
    ( element_of_set(X8,interior(f14(f13(X0,X1,X2,f20(closure(X5,X3,X4),X6)),cx,ct,X7),X1,X2))
    | ~ topological_space(closure(X5,X3,X4),X6)
    | hausdorff(closure(X5,X3,X4),X6)
    | ~ subset_sets(f14(f13(X0,X1,X2,f20(closure(X5,X3,X4),X6)),cx,ct,X7),X1)
    | ~ element_of_set(X8,f13(X0,X1,X2,f20(closure(X5,X3,X4),X6)))
    | ~ subset_sets(X5,interior(X0,X1,X2))
    | ~ closed(interior(X0,X1,X2),X3,X4)
    | ~ subset_sets(f13(X0,X1,X2,f20(closure(X5,X3,X4),X6)),a)
    | ~ subset_sets(f13(X0,X1,X2,f20(closure(X5,X3,X4),X6)),cx)
    | element_of_set(X7,a) ) ).

cnf(u7516,axiom,
    ( closed(f14(relative_complement_sets(X1,X2),X2,X3,f11(X0,closure(X1,X2,X3))),X2,X3)
    | element_of_set(X4,f10(X0,closure(X1,X2,X3),X4))
    | element_of_set(f11(X0,closure(X1,X2,X3)),boundary(X1,X2,X3))
    | ~ element_of_set(X4,closure(X1,X2,X3))
    | ~ subset_sets(relative_complement_sets(X1,X2),X2) ) ).

cnf(u1264,negated_conjecture,
    ( ~ subset_sets(X3,f14(X0,cx,ct,X1))
    | ~ subset_sets(X0,a)
    | element_of_set(X2,a)
    | ~ subset_sets(X0,cx)
    | ~ subset_sets(X3,cx)
    | element_of_set(X1,f14(X0,cx,ct,X2))
    | closed(f14(X3,cx,ct,X4),cx,ct)
    | element_of_set(X4,f14(X0,cx,ct,X1)) ) ).

cnf(u1411,axiom,
    ( ~ element_of_set(X1,f13(a,cx,ct,f7(sF0,X0)))
    | ~ topological_space(sF0,X0)
    | basis(sF0,X0)
    | element_of_set(X1,union_of_members(ct)) ) ).

cnf(u7482,axiom,
    ( subset_sets(f13(X1,X2,X3,f11(X0,interior(X1,X2,X3))),X1)
    | element_of_set(X4,f10(X0,interior(X1,X2,X3),X4))
    | ~ element_of_set(X4,interior(X1,X2,X3)) ) ).

cnf(u592,negated_conjecture,
    ( subset_sets(f13(f14(X0,cx,ct,X1),X2,X3,f19(interior(f14(X0,cx,ct,X1),X2,X3),X4)),f14(f13(f14(X0,cx,ct,X1),X2,X3,f19(interior(f14(X0,cx,ct,X1),X2,X3),X4)),cx,ct,X5))
    | element_of_set(X1,a)
    | ~ subset_sets(f13(f14(X0,cx,ct,X1),X2,X3,f19(interior(f14(X0,cx,ct,X1),X2,X3),X4)),cx)
    | ~ subset_sets(X0,a)
    | ~ subset_sets(X0,cx)
    | element_of_set(X5,f14(X0,cx,ct,X1))
    | hausdorff(interior(f14(X0,cx,ct,X1),X2,X3),X4)
    | ~ topological_space(interior(f14(X0,cx,ct,X1),X2,X3),X4) ) ).

cnf(u1258,negated_conjecture,
    ( ~ subset_sets(a,f14(X0,cx,ct,X1))
    | ~ subset_sets(X0,a)
    | element_of_set(X2,a)
    | ~ subset_sets(X0,cx)
    | hausdorff(sF1,X3)
    | element_of_set(X1,f14(X0,cx,ct,X2))
    | element_of_set(f19(sF1,X3),f14(X0,cx,ct,X1))
    | ~ topological_space(sF1,X3) ) ).

cnf(u1358,axiom,
    ( element_of_collection(f6(X3,X4,f11(X0,intersection_of_sets(X1,X2)),X1,X2),X4)
    | ~ element_of_collection(X1,X4)
    | ~ element_of_collection(X2,X4)
    | ~ basis(X3,X4)
    | ~ element_of_set(f11(X0,intersection_of_sets(X1,X2)),X3)
    | element_of_collection(intersection_of_sets(X1,X2),top_of_basis(X0)) ) ).

cnf(u9481,negated_conjecture,
    ( element_of_set(f19(f13(a,cx,X1,X0),X2),union_of_members(X1))
    | ~ topological_space(cx,X1)
    | element_of_set(f11(X1,a),sF0)
    | ~ element_of_set(X0,a)
    | ~ topological_space(f13(a,cx,X1,X0),X2)
    | hausdorff(f13(a,cx,X1,X0),X2) ) ).

cnf(u11026,negated_conjecture,
    ( element_of_set(f15(X0,X1,X2,X3,X4),interior(a,sF0,X5))
    | ~ neighborhood(X4,X0,X2,X3)
    | ~ limit_point(X0,X1,X2,X3) ) ).

cnf(u3540,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X1,X2,X0),sF1),a)
    | subset_sets(X0,X1) ) ).

cnf(u943,axiom,
    ( ~ subset_sets(X1,f13(a,cx,ct,f11(X0,sF0)))
    | ~ element_of_collection(X1,X2)
    | ~ topological_space(a,X2)
    | ~ element_of_set(X3,X1)
    | element_of_collection(sF0,top_of_basis(X0))
    | element_of_set(X3,interior(f13(a,cx,ct,f11(X0,sF0)),a,X2)) ) ).

cnf(u1473,axiom,
    ( element_of_set(f11(X0,closure(X1,X2,X3)),f6(X4,X6,f11(X0,closure(X1,X2,X3)),X5,X7))
    | ~ element_of_collection(X5,X6)
    | ~ element_of_collection(X7,X6)
    | ~ basis(X4,X6)
    | ~ element_of_set(f11(X0,closure(X1,X2,X3)),X4)
    | element_of_collection(closure(X1,X2,X3),top_of_basis(X0))
    | ~ closed(intersection_of_sets(X5,X7),X2,X3)
    | ~ subset_sets(X1,intersection_of_sets(X5,X7)) ) ).

cnf(u6818,negated_conjecture,
    ( closed(f14(X0,X1,X2,X3),X1,X2)
    | ~ closed(sF1,X1,X2)
    | ~ subset_sets(X0,sF1)
    | ~ subset_sets(X0,X1) ) ).

cnf(u3589,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,X4),X2,X3)
    | element_of_collection(boundary(X1,X2,X3),top_of_basis(X0))
    | ~ subset_sets(X1,f13(a,cx,ct,X4))
    | element_of_set(f11(X0,boundary(X1,X2,X3)),sF0)
    | ~ element_of_set(X4,sF0) ) ).

cnf(u8329,negated_conjecture,
    ( ~ element_of_collection(f13(f13(a,cx,X1,X0),X2,X3,f11(X4,closure(X5,X6,X7))),X8)
    | element_of_set(f11(X1,a),a)
    | ~ element_of_set(X0,a)
    | ~ topological_space(a,X8)
    | ~ element_of_set(X9,f13(f13(a,cx,X1,X0),X2,X3,f11(X4,closure(X5,X6,X7))))
    | ~ topological_space(cx,X1)
    | element_of_set(X9,interior(f13(a,cx,X1,X0),a,X8))
    | ~ closed(interior(f13(a,cx,X1,X0),X2,X3),X6,X7)
    | ~ subset_sets(X5,interior(f13(a,cx,X1,X0),X2,X3))
    | element_of_collection(closure(X5,X6,X7),top_of_basis(X4)) ) ).

cnf(u1898,axiom,
    ( ~ subset_sets(a,f14(relative_complement_sets(a,cx),cx,ct,X0))
    | element_of_set(X0,boundary(a,cx,ct))
    | ~ subset_sets(f14(relative_complement_sets(a,cx),cx,ct,X0),sF1)
    | ~ element_of_set(X0,sF1)
    | ~ element_of_collection(f14(relative_complement_sets(a,cx),cx,ct,X0),X1)
    | element_of_collection(sF1,top_of_basis(X1)) ) ).

cnf(u9575,negated_conjecture,
    ( element_of_set(f19(f13(a,cx,X0,f11(subspace_topology(X2,X3,X1),interior(a,cx,X0))),X4),interior(a,cx,X0))
    | ~ topological_space(cx,X0)
    | subset_sets(X1,X2)
    | element_of_set(f11(X0,a),a)
    | ~ topological_space(f13(a,cx,X0,f11(subspace_topology(X2,X3,X1),interior(a,cx,X0))),X4)
    | hausdorff(f13(a,cx,X0,f11(subspace_topology(X2,X3,X1),interior(a,cx,X0))),X4) ) ).

cnf(interior_47,axiom,
    ( ~ element_of_set(X0,interior(X1,X2,X3))
    | topological_space(X2,X3) ) ).

cnf(u1601,axiom,
    ( ~ element_of_collection(f10(X2,f13(a,cx,ct,X1),X0),X3)
    | ~ element_of_collection(f13(a,cx,ct,X1),top_of_basis(X2))
    | ~ topological_space(a,X3)
    | ~ element_of_set(X4,f10(X2,f13(a,cx,ct,X1),X0))
    | ~ element_of_set(X0,f13(a,cx,ct,X1))
    | element_of_set(X4,interior(f13(a,cx,ct,X1),a,X3))
    | ~ element_of_set(X1,sF0) ) ).

cnf(u1317,axiom,
    ( element_of_collection(f16(X0,X1,X2,subspace_topology(X3,X4,X5)),subspace_topology(X6,X4,X5))
    | ~ topological_space(X2,subspace_topology(X3,X4,X5))
    | ~ subset_sets(X1,X2)
    | ~ topological_space(X6,X4)
    | ~ subset_sets(X5,X6)
    | limit_point(X0,X1,X2,subspace_topology(X3,X4,X5)) ) ).

cnf(u7467,negated_conjecture,
    ( element_of_set(f11(X0,f1(ct,X1)),union_of_members(ct))
    | element_of_set(X2,f10(X0,f1(ct,X1),X2))
    | ~ element_of_set(X1,cx)
    | ~ element_of_set(X2,f1(ct,X1)) ) ).

cnf(u465,axiom,
    ( element_of_set(X7,interior(f14(f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),X4,X5,X6),X1,X2))
    | ~ subset_sets(f14(f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),X4,X5,X6),X1)
    | ~ element_of_set(X7,f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)))
    | hausdorff(interior(X0,X1,X2),X3)
    | ~ topological_space(interior(X0,X1,X2),X3)
    | element_of_set(X6,closure(f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),X4,X5))
    | ~ subset_sets(f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),X4)
    | ~ topological_space(X4,X5) ) ).

cnf(u9906,axiom,
    ( element_of_set(f11(subspace_topology(X0,X1,X2),f10(X3,closure(X4,X5,X6),X7)),f10(X3,closure(X4,X5,X6),X7))
    | subset_sets(f13(X8,X9,X10,f11(X3,closure(X4,X5,X6))),X8)
    | topological_space(X0,X1)
    | ~ closed(interior(X8,X9,X10),X5,X6)
    | ~ subset_sets(X4,interior(X8,X9,X10))
    | ~ element_of_set(X7,closure(X4,X5,X6)) ) ).

cnf(u890,axiom,
    ( ~ closed(interior(X0,X1,X2),cx,ct)
    | subset_sets(f13(X0,X1,X2,f11(X3,sF1)),X0)
    | ~ subset_sets(a,interior(X0,X1,X2))
    | element_of_collection(sF1,top_of_basis(X3)) ) ).

cnf(u412,axiom,
    ( ~ element_of_set(X2,f8(X0,X1))
    | ~ topological_space(X0,X1)
    | basis(X0,X1)
    | element_of_set(X2,union_of_members(X1)) ) ).

cnf(u8055,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,f11(X5,sF0)),X2,X3)
    | ~ element_of_set(X4,sF0)
    | element_of_set(X4,f10(X5,sF0,X4))
    | element_of_collection(closure(X1,X2,X3),top_of_basis(X0))
    | element_of_set(f11(X0,closure(X1,X2,X3)),sF0)
    | ~ subset_sets(X1,f13(a,cx,ct,f11(X5,sF0))) ) ).

cnf(u983,negated_conjecture,
    ( ~ subset_sets(a,f14(X1,cx,ct,X2))
    | hausdorff(sF1,X0)
    | element_of_set(f19(sF1,X0),f14(X1,cx,ct,X2))
    | ~ topological_space(sF1,X0)
    | element_of_set(X2,closure(X1,cx,ct))
    | ~ subset_sets(X1,cx) ) ).

cnf(u10578,axiom,
    ( basis(closure(X0,X1,X2),X3)
    | ~ closed(sF0,X1,X2) ) ).

cnf(u3838,axiom,
    ( element_of_collection(union_of_members(subspace_topology(X2,X3,intersection_of_sets(X0,X1))),subspace_topology(X4,X5,X0))
    | ~ subset_sets(X0,X4)
    | ~ element_of_collection(X1,X5)
    | ~ compact_set(intersection_of_sets(X0,X1),X2,X3)
    | ~ topological_space(X4,X5) ) ).

cnf(u10575,negated_conjecture,
    ( basis(f13(a,cx,ct,X0),X1)
    | ~ element_of_set(X0,a) ) ).

cnf(u235,negated_conjecture,
    ( subset_sets(X0,f14(X0,cx,ct,X1))
    | ~ subset_sets(X0,a)
    | ~ subset_sets(X0,cx)
    | element_of_set(X1,a) ) ).

cnf(u9044,negated_conjecture,
    ( element_of_set(f20(a,X0),sF0)
    | ~ topological_space(a,X0)
    | hausdorff(a,X0) ) ).

cnf(u378,axiom,
    ( ~ element_of_collection(f13(f13(a,cx,ct,X0),X1,X2,f20(interior(f13(a,cx,ct,X0),X1,X2),X3)),X4)
    | ~ topological_space(interior(f13(a,cx,ct,X0),X1,X2),X3)
    | ~ topological_space(a,X4)
    | ~ element_of_set(X5,f13(f13(a,cx,ct,X0),X1,X2,f20(interior(f13(a,cx,ct,X0),X1,X2),X3)))
    | hausdorff(interior(f13(a,cx,ct,X0),X1,X2),X3)
    | element_of_set(X5,interior(f13(a,cx,ct,X0),a,X4))
    | ~ element_of_set(X0,sF0) ) ).

cnf(basis_for_topology_28,axiom,
    ( equal_sets(union_of_members(X1),X0)
    | ~ basis(X0,X1) ) ).

cnf(u4053,negated_conjecture,
    ( element_of_set(f11(X2,f10(X0,a,X1)),interior(a,cx,X0))
    | ~ element_of_collection(a,top_of_basis(X0))
    | ~ element_of_set(X1,a)
    | ~ topological_space(cx,X0)
    | element_of_collection(f10(X0,a,X1),top_of_basis(X2)) ) ).

cnf(u3929,negated_conjecture,
    ( ~ closed(union_of_members(f24(X0,ct)),X3,X4)
    | ~ topological_space(X0,ct)
    | element_of_set(f11(X1,closure(X2,X3,X4)),union_of_members(ct))
    | element_of_collection(closure(X2,X3,X4),top_of_basis(X1))
    | compact_space(X0,ct)
    | ~ subset_sets(X2,union_of_members(f24(X0,ct))) ) ).

cnf(u10151,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X0,X1,X2),union_of_members(X3)),union_of_members(X3))
    | ~ topological_space(cx,X3)
    | topological_space(X0,X1) ) ).

cnf(u7005,axiom,
    ( element_of_set(X0,f10(X3,f13(X1,X2,top_of_basis(X3),f11(X4,interior(X1,X2,top_of_basis(X3)))),X0))
    | ~ element_of_set(X0,f13(X1,X2,top_of_basis(X3),f11(X4,interior(X1,X2,top_of_basis(X3)))))
    | element_of_collection(interior(X1,X2,top_of_basis(X3)),top_of_basis(X4)) ) ).

cnf(u10572,negated_conjecture,
    ( element_of_set(X1,union_of_members(X0))
    | ~ element_of_set(X1,a) ) ).

cnf(u9567,negated_conjecture,
    ( element_of_set(f7(f13(a,cx,X0,f11(subspace_topology(X2,X3,X1),interior(a,cx,X0))),X4),interior(a,cx,X0))
    | ~ topological_space(cx,X0)
    | subset_sets(X1,X2)
    | element_of_set(f11(X0,a),a)
    | basis(f13(a,cx,X0,f11(subspace_topology(X2,X3,X1),interior(a,cx,X0))),X4)
    | ~ topological_space(f13(a,cx,X0,f11(subspace_topology(X2,X3,X1),interior(a,cx,X0))),X4) ) ).

cnf(u310,axiom,
    ( element_of_set(X0,union_of_members(ct))
    | ~ element_of_set(X0,sF0) ) ).

cnf(u11075,negated_conjecture,
    ( element_of_set(f7(interior(X0,X1,X2),X3),interior(a,sF0,X4))
    | basis(interior(X0,X1,X2),X3) ) ).

cnf(u1068,negated_conjecture,
    ( element_of_set(f19(f13(a,cx,ct,f7(sF0,X0)),X1),sF0)
    | basis(sF0,X0)
    | ~ topological_space(sF0,X0)
    | ~ topological_space(f13(a,cx,ct,f7(sF0,X0)),X1)
    | hausdorff(f13(a,cx,ct,f7(sF0,X0)),X1) ) ).

cnf(u582,negated_conjecture,
    ( ~ element_of_set(f11(X1,f14(f14(a,cx,ct,X0),X2,X3,X4)),sF1)
    | element_of_collection(f14(f14(a,cx,ct,X0),X2,X3,X4),top_of_basis(X1))
    | ~ element_of_collection(f14(a,cx,ct,X0),X1)
    | element_of_set(X0,sF1)
    | element_of_set(X4,closure(f14(a,cx,ct,X0),X2,X3))
    | ~ subset_sets(f14(a,cx,ct,X0),X2)
    | ~ topological_space(X2,X3) ) ).

cnf(u988,axiom,
    ( ~ subset_sets(f13(X1,X2,X3,f19(closure(X0,X4,X5),X6)),X7)
    | ~ closed(interior(X1,X2,X3),X4,X5)
    | ~ topological_space(closure(X0,X4,X5),X6)
    | hausdorff(closure(X0,X4,X5),X6)
    | ~ subset_sets(X7,X2)
    | ~ element_of_set(X8,f13(X1,X2,X3,f19(closure(X0,X4,X5),X6)))
    | ~ subset_sets(X0,interior(X1,X2,X3))
    | element_of_set(X8,interior(X7,X2,X3)) ) ).

cnf(u7060,axiom,
    ( ~ closed(f13(X4,X5,X6,f20(interior(X4,X5,X6),X7)),X2,X3)
    | ~ element_of_set(X8,closure(X1,X2,X3))
    | element_of_set(X8,f10(X0,closure(X1,X2,X3),X8))
    | ~ subset_sets(X1,f13(X4,X5,X6,f20(interior(X4,X5,X6),X7)))
    | ~ topological_space(interior(X4,X5,X6),X7)
    | hausdorff(interior(X4,X5,X6),X7)
    | element_of_set(f11(X0,closure(X1,X2,X3)),interior(X4,X5,X6)) ) ).

cnf(u6591,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,f20(closure(X0,X1,X2),X3)),X5,X6)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | element_of_set(f19(closure(X4,X5,X6),X7),interior(a,sF0,ct))
    | ~ subset_sets(X0,sF0)
    | ~ closed(sF0,X1,X2)
    | hausdorff(closure(X4,X5,X6),X7)
    | ~ subset_sets(X4,f13(a,cx,ct,f20(closure(X0,X1,X2),X3)))
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ topological_space(closure(X4,X5,X6),X7) ) ).

cnf(topological_space_13,axiom,
    ( ~ element_of_collection(union_of_members(f5(X0,X1)),X1)
    | ~ equal_sets(union_of_members(X1),X0)
    | ~ element_of_collection(empty_set,X1)
    | ~ element_of_collection(X0,X1)
    | element_of_collection(f3(X0,X1),X1)
    | topological_space(X0,X1) ) ).

cnf(u3995,negated_conjecture,
    ( element_of_set(f11(X1,sF1),union_of_members(top_of_basis(X0)))
    | element_of_set(X2,f1(top_of_basis(X1),X2))
    | element_of_set(f11(X0,sF1),sF1)
    | ~ element_of_set(X2,sF1) ) ).

cnf(u1403,negated_conjecture,
    ( ~ subset_sets(f14(f13(a,cx,ct,f7(sF0,X0)),cx,ct,X1),cx)
    | basis(sF0,X0)
    | ~ element_of_set(X2,f13(a,cx,ct,f7(sF0,X0)))
    | ~ topological_space(sF0,X0)
    | element_of_set(X2,interior(f14(f13(a,cx,ct,f7(sF0,X0)),cx,ct,X1),cx,ct))
    | element_of_set(X1,f14(f13(a,cx,ct,f7(sF0,X0)),cx,ct,X3))
    | element_of_set(X3,a)
    | ~ subset_sets(f13(a,cx,ct,f7(sF0,X0)),cx) ) ).

cnf(u9618,negated_conjecture,
    ( ~ closed(f13(a,cx,X0,f11(subspace_topology(X2,X7,X1),interior(a,cx,X0))),X5,X6)
    | ~ topological_space(cx,X0)
    | subset_sets(X1,X2)
    | element_of_set(f11(X3,closure(X4,X5,X6)),interior(a,cx,X0))
    | element_of_set(X8,f10(X3,closure(X4,X5,X6),X8))
    | ~ element_of_set(X8,closure(X4,X5,X6))
    | element_of_set(f11(X0,a),sF0)
    | ~ subset_sets(X4,f13(a,cx,X0,f11(subspace_topology(X2,X7,X1),interior(a,cx,X0)))) ) ).

cnf(u1085,negated_conjecture,
    ( closed(f14(X0,X1,X2,f11(X3,f14(closure(X0,X1,X2),cx,ct,X4))),X1,X2)
    | element_of_set(X4,f14(closure(X0,X1,X2),cx,ct,X5))
    | element_of_collection(f14(closure(X0,X1,X2),cx,ct,X4),top_of_basis(X3))
    | ~ subset_sets(X0,X1)
    | ~ topological_space(X1,X2)
    | ~ element_of_collection(closure(X0,X1,X2),X3)
    | ~ subset_sets(closure(X0,X1,X2),a)
    | element_of_set(X5,a)
    | ~ subset_sets(closure(X0,X1,X2),cx) ) ).

cnf(u3928,negated_conjecture,
    ( element_of_set(f11(X1,union_of_members(f24(X0,ct))),union_of_members(ct))
    | ~ topological_space(X0,ct)
    | compact_space(X0,ct)
    | element_of_collection(union_of_members(f24(X0,ct)),top_of_basis(X1)) ) ).

cnf(u3065,axiom,
    ( subset_collections(f5(X0,f24(X0,X1)),f24(X0,X1))
    | ~ element_of_collection(empty_set,f24(X0,X1))
    | ~ element_of_collection(X0,f24(X0,X1))
    | element_of_collection(f4(X0,f24(X0,X1)),f24(X0,X1))
    | topological_space(X0,f24(X0,X1))
    | ~ topological_space(X0,X1)
    | compact_space(X0,X1) ) ).

cnf(u1622,axiom,
    ( ~ closed(interior(X4,X5,X6),X1,X2)
    | ~ subset_sets(X0,interior(X4,X5,X6))
    | ~ topological_space(closure(X0,X1,X2),X3)
    | basis(closure(X0,X1,X2),X3)
    | subset_sets(X4,X5) ) ).

cnf(u1568,axiom,
    ( element_of_set(f20(f16(X3,X2,X0,X1),X4),union_of_members(X1))
    | ~ subset_sets(X2,X0)
    | limit_point(X3,X2,X0,X1)
    | ~ topological_space(X0,X1)
    | ~ topological_space(f16(X3,X2,X0,X1),X4)
    | hausdorff(f16(X3,X2,X0,X1),X4) ) ).

cnf(u10281,negated_conjecture,
    ( element_of_set(X2,f14(a,cx,ct,X0))
    | element_of_set(X0,f14(a,cx,ct,X1))
    | ~ element_of_set(X2,sF1)
    | element_of_set(X1,a) ) ).

cnf(u7106,axiom,
    ( ~ element_of_set(f7(X0,X1),f13(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2,X3,f11(X4,closure(X5,X6,X7))))
    | ~ closed(interior(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2,X3),X6,X7)
    | ~ subset_sets(X5,interior(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2,X3))
    | ~ element_of_set(X8,closure(X5,X6,X7))
    | ~ equal_sets(union_of_members(X1),X0)
    | element_of_set(X8,f10(X4,closure(X5,X6,X7),X8))
    | ~ element_of_collection(f13(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2,X3,f11(X4,closure(X5,X6,X7))),X1)
    | basis(X0,X1) ) ).

cnf(u1053,axiom,
    ( ~ closed(f13(closure(X0,X1,X2),X3,X4,f7(interior(closure(X0,X1,X2),X3,X4),X5)),X1,X2)
    | basis(interior(closure(X0,X1,X2),X3,X4),X5)
    | ~ topological_space(interior(closure(X0,X1,X2),X3,X4),X5)
    | ~ subset_sets(X0,f13(closure(X0,X1,X2),X3,X4,f7(interior(closure(X0,X1,X2),X3,X4),X5)))
    | ~ element_of_collection(f13(closure(X0,X1,X2),X3,X4,f7(interior(closure(X0,X1,X2),X3,X4),X5)),X6)
    | element_of_collection(closure(X0,X1,X2),top_of_basis(X6)) ) ).

cnf(u939,negated_conjecture,
    ( element_of_set(f20(f13(a,cx,ct,f11(X0,sF0)),X1),sF0)
    | element_of_collection(sF0,top_of_basis(X0))
    | ~ topological_space(f13(a,cx,ct,f11(X0,sF0)),X1)
    | hausdorff(f13(a,cx,ct,f11(X0,sF0)),X1) ) ).

cnf(u1187,negated_conjecture,
    ( ~ subset_sets(f14(a,cx,ct,f11(X1,X0)),X3)
    | ~ subset_sets(sF1,X0)
    | ~ element_of_set(f11(X2,X3),sF1)
    | ~ element_of_collection(sF1,X1)
    | element_of_collection(X3,top_of_basis(X2))
    | ~ element_of_collection(f14(a,cx,ct,f11(X1,X0)),X2)
    | element_of_collection(X0,top_of_basis(X1)) ) ).

cnf(u3958,negated_conjecture,
    ( ~ subset_sets(f14(f13(a,cx,ct,X1),cx,ct,X2),cx)
    | element_of_set(X3,union_of_members(top_of_basis(X0)))
    | element_of_set(X2,a)
    | element_of_set(f11(X0,interior(f14(f13(a,cx,ct,X1),cx,ct,X2),cx,ct)),interior(f14(f13(a,cx,ct,X1),cx,ct,X2),cx,ct))
    | ~ element_of_set(X3,f13(a,cx,ct,X1))
    | ~ element_of_set(X1,sF0)
    | ~ subset_sets(f13(a,cx,ct,X1),cx) ) ).

cnf(u7129,axiom,
    ( ~ closed(f13(X0,X1,X2,f11(X7,closure(X5,X3,X4))),X9,X10)
    | ~ subset_sets(X5,interior(X0,X1,X2))
    | ~ element_of_set(X6,closure(X5,X3,X4))
    | element_of_set(X6,f10(X7,closure(X5,X3,X4),X6))
    | element_of_set(f7(closure(X8,X9,X10),X11),interior(X0,X1,X2))
    | ~ topological_space(closure(X8,X9,X10),X11)
    | ~ subset_sets(X8,f13(X0,X1,X2,f11(X7,closure(X5,X3,X4))))
    | ~ closed(interior(X0,X1,X2),X3,X4)
    | basis(closure(X8,X9,X10),X11) ) ).

cnf(u9180,negated_conjecture,
    ( ~ closed(f13(a,cx,X1,X0),X3,X4)
    | element_of_set(f11(X1,a),sF0)
    | ~ topological_space(cx,X1)
    | element_of_set(f20(closure(X2,X3,X4),X5),interior(a,cx,X1))
    | hausdorff(closure(X2,X3,X4),X5)
    | ~ subset_sets(X2,f13(a,cx,X1,X0))
    | ~ element_of_set(X0,a)
    | ~ topological_space(closure(X2,X3,X4),X5) ) ).

cnf(u9195,negated_conjecture,
    ( element_of_set(f11(X2,union_of_members(X1)),union_of_members(X1))
    | element_of_set(X0,union_of_members(top_of_basis(X2)))
    | ~ element_of_set(X0,a)
    | ~ topological_space(cx,X1)
    | element_of_set(f11(X1,a),sF0) ) ).

cnf(u3661,axiom,
    ( ~ element_of_set(X7,f13(X1,X2,X3,f11(X6,boundary(X0,X4,X5))))
    | element_of_collection(boundary(X0,X4,X5),top_of_basis(X6))
    | ~ subset_sets(X0,interior(X1,X2,X3))
    | ~ closed(interior(X1,X2,X3),X4,X5)
    | element_of_set(X7,interior(X1,X2,X3)) ) ).

cnf(u1255,negated_conjecture,
    ( closed(f14(X0,cx,ct,X2),cx,ct)
    | element_of_set(X2,f14(X0,cx,ct,X1))
    | ~ subset_sets(X0,a)
    | element_of_set(X1,a)
    | ~ subset_sets(X0,cx) ) ).

cnf(u8024,axiom,
    ( ~ closed(f13(boundary(X0,X1,X2),X3,X4,f11(X5,interior(boundary(X0,X1,X2),X3,X4))),X1,X2)
    | ~ element_of_set(X6,interior(boundary(X0,X1,X2),X3,X4))
    | element_of_set(X6,f10(X5,interior(boundary(X0,X1,X2),X3,X4),X6))
    | ~ subset_sets(X0,f13(boundary(X0,X1,X2),X3,X4,f11(X5,interior(boundary(X0,X1,X2),X3,X4))))
    | ~ element_of_collection(f13(boundary(X0,X1,X2),X3,X4,f11(X5,interior(boundary(X0,X1,X2),X3,X4))),X7)
    | element_of_collection(boundary(X0,X1,X2),top_of_basis(X7)) ) ).

cnf(u9208,negated_conjecture,
    ( ~ element_of_set(X4,f13(a,cx,top_of_basis(subspace_topology(X0,X1,X2)),X3))
    | ~ element_of_set(X3,a)
    | ~ topological_space(cx,top_of_basis(subspace_topology(X0,X1,X2)))
    | element_of_set(f11(top_of_basis(subspace_topology(X0,X1,X2)),a),sF0)
    | subset_sets(X2,X0) ) ).

cnf(u774,axiom,
    ( ~ closed(union_of_members(X4),X2,X3)
    | element_of_collection(closure(X1,X2,X3),top_of_basis(X0))
    | ~ subset_sets(X1,union_of_members(X4))
    | element_of_collection(f1(X4,f11(X0,closure(X1,X2,X3))),X4) ) ).

cnf(u408,axiom,
    ( ~ basis(intersection_of_sets(X0,X1),X2)
    | ~ topological_space(X3,X4)
    | ~ subset_sets(X0,X3)
    | ~ element_of_collection(X1,X4)
    | element_of_collection(union_of_members(X2),subspace_topology(X3,X4,X0)) ) ).

cnf(u7472,axiom,
    ( element_of_set(f11(X0,intersection_of_sets(X1,X2)),f6(X4,X5,f11(X0,intersection_of_sets(X1,X2)),X1,X2))
    | element_of_set(X3,f10(X0,intersection_of_sets(X1,X2),X3))
    | ~ element_of_set(f11(X0,intersection_of_sets(X1,X2)),X4)
    | ~ element_of_collection(X1,X5)
    | ~ element_of_collection(X2,X5)
    | ~ basis(X4,X5)
    | ~ element_of_set(X3,intersection_of_sets(X1,X2)) ) ).

cnf(u44760,axiom,
    ( ~ subset_collections(f24(X0,X2),f24(X1,f24(X0,X2)))
    | compact_space(X1,f24(X0,X2))
    | compact_space(X0,X2)
    | ~ compact_space(X0,f24(X1,f24(X0,X2))) ) ).

cnf(u35109,axiom,
    ( ~ connected_set(intersection_of_sets(X2,f12(X3,X4,X2,union_of_sets(X0,X1))),X5,X6)
    | ~ disjoint_s(X0,X1)
    | equal_sets(X1,empty_set)
    | equal_sets(X0,empty_set) ) ).

cnf(u605,negated_conjecture,
    ( ~ subset_sets(f14(f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),cx,ct,X4),X1)
    | ~ subset_sets(f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),a)
    | element_of_set(X5,a)
    | ~ subset_sets(f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),cx)
    | ~ topological_space(interior(X0,X1,X2),X3)
    | element_of_set(X4,f14(f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),cx,ct,X5))
    | ~ element_of_set(X6,f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)))
    | hausdorff(interior(X0,X1,X2),X3)
    | element_of_set(X6,interior(f14(f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),cx,ct,X4),X1,X2)) ) ).

cnf(u7229,axiom,
    ( ~ element_of_set(X3,f12(X1,X2,X0,X0))
    | ~ connected_set(X0,X1,X2)
    | element_of_set(X3,union_of_members(X2)) ) ).

cnf(u1569,axiom,
    ( ~ closed(f16(X3,X2,X0,X1),X5,X6)
    | ~ subset_sets(X2,X0)
    | limit_point(X3,X2,X0,X1)
    | element_of_set(f20(closure(X4,X5,X6),X7),union_of_members(X1))
    | hausdorff(closure(X4,X5,X6),X7)
    | ~ subset_sets(X4,f16(X3,X2,X0,X1))
    | ~ topological_space(X0,X1)
    | ~ topological_space(closure(X4,X5,X6),X7) ) ).

cnf(u1314,axiom,
    ( element_of_collection(f12(X4,X5,X6,f12(X3,subspace_topology(X4,X5,X6),X7,f16(X0,X1,X2,subspace_topology(X3,subspace_topology(X4,X5,X6),X7)))),X5)
    | ~ topological_space(X2,subspace_topology(X3,subspace_topology(X4,X5,X6),X7))
    | ~ subset_sets(X1,X2)
    | limit_point(X0,X1,X2,subspace_topology(X3,subspace_topology(X4,X5,X6),X7)) ) ).

cnf(finer_topology_24,axiom,
    ( ~ finer(X0,X1,X2)
    | topological_space(X2,X0) ) ).

cnf(u1714,axiom,
    ( ~ basis(X0,X1)
    | ~ element_of_collection(empty_set,X1)
    | ~ element_of_collection(X0,X1)
    | element_of_collection(f3(X0,X1),X1)
    | subset_collections(f5(X0,X1),X1)
    | topological_space(X0,X1) ) ).

cnf(u3496,axiom,
    ( ~ element_of_collection(X0,subspace_topology(X1,X2,boundary(a,cx,ct)))
    | ~ element_of_set(X3,X0)
    | ~ subset_sets(X0,sF1)
    | element_of_set(X3,interior(sF1,boundary(a,cx,ct),subspace_topology(X1,X2,boundary(a,cx,ct))))
    | ~ connected_set(boundary(a,cx,ct),X1,X2) ) ).

cnf(u962,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,f11(X4,closure(X5,X6,X7))),X1,X2)
    | ~ subset_sets(X0,f13(a,cx,ct,f11(X4,closure(X5,X6,X7))))
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | ~ subset_sets(X5,sF0)
    | ~ closed(sF0,X6,X7)
    | element_of_collection(closure(X5,X6,X7),top_of_basis(X4))
    | element_of_set(f19(closure(X0,X1,X2),X3),sF0) ) ).

cnf(u1501,negated_conjecture,
    ( topological_space(intersection_of_sets(X0,f12(X1,X2,X0,union_of_members(ct))),ct)
    | ~ element_of_collection(union_of_members(ct),subspace_topology(X1,X2,X0))
    | ~ element_of_collection(f12(X1,X2,X0,union_of_members(ct)),ct)
    | ~ element_of_collection(X0,ct) ) ).

cnf(u7306,axiom,
    ( ~ closed(f13(X4,X5,X6,f7(closure(X0,X1,X2),X3)),X8,X9)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | ~ closed(interior(X4,X5,X6),X1,X2)
    | ~ subset_sets(X0,interior(X4,X5,X6))
    | element_of_set(f19(closure(X7,X8,X9),X10),interior(X4,X5,X6))
    | hausdorff(closure(X7,X8,X9),X10)
    | ~ subset_sets(X7,f13(X4,X5,X6,f7(closure(X0,X1,X2),X3)))
    | basis(closure(X0,X1,X2),X3)
    | ~ topological_space(closure(X7,X8,X9),X10) ) ).

cnf(u7057,axiom,
    ( ~ closed(f13(X4,X5,X6,f19(interior(X4,X5,X6),X7)),X2,X3)
    | ~ element_of_set(X8,closure(X1,X2,X3))
    | element_of_set(X8,f10(X0,closure(X1,X2,X3),X8))
    | ~ subset_sets(X1,f13(X4,X5,X6,f19(interior(X4,X5,X6),X7)))
    | ~ topological_space(interior(X4,X5,X6),X7)
    | hausdorff(interior(X4,X5,X6),X7)
    | element_of_set(f11(X0,closure(X1,X2,X3)),interior(X4,X5,X6)) ) ).

cnf(u1645,axiom,
    ( ~ closed(f21(X4,X5),X1,X2)
    | ~ subset_sets(X0,f21(X4,X5))
    | ~ topological_space(closure(X0,X1,X2),X3)
    | basis(closure(X0,X1,X2),X3)
    | ~ topological_space(X4,X5)
    | connected_space(X4,X5)
    | element_of_set(f7(closure(X0,X1,X2),X3),union_of_members(X5)) ) ).

cnf(u7382,negated_conjecture,
    ( element_of_set(X7,interior(f14(f13(a,cx,ct,f20(sF0,X0)),X1,X2,f11(X6,f14(closure(f13(a,cx,ct,f20(sF0,X0)),X1,X2),X3,X4,X5))),cx,ct))
    | ~ element_of_collection(closure(f13(a,cx,ct,f20(sF0,X0)),X1,X2),X6)
    | ~ subset_sets(f13(a,cx,ct,f20(sF0,X0)),X1)
    | ~ topological_space(X1,X2)
    | element_of_set(X5,closure(closure(f13(a,cx,ct,f20(sF0,X0)),X1,X2),X3,X4))
    | ~ subset_sets(closure(f13(a,cx,ct,f20(sF0,X0)),X1,X2),X3)
    | ~ topological_space(X3,X4)
    | ~ topological_space(sF0,X0)
    | ~ subset_sets(f14(f13(a,cx,ct,f20(sF0,X0)),X1,X2,f11(X6,f14(closure(f13(a,cx,ct,f20(sF0,X0)),X1,X2),X3,X4,X5))),cx)
    | ~ element_of_set(X7,f13(a,cx,ct,f20(sF0,X0)))
    | hausdorff(sF0,X0)
    | element_of_collection(f14(closure(f13(a,cx,ct,f20(sF0,X0)),X1,X2),X3,X4,X5),top_of_basis(X6)) ) ).

cnf(u6653,negated_conjecture,
    ( hausdorff(closure(X0,X1,X2),subspace_topology(X3,X4,closure(X0,X1,X2)))
    | ~ closed(sF1,X1,X2)
    | ~ subset_sets(X0,sF1)
    | ~ compact_set(closure(X0,X1,X2),X3,X4) ) ).

cnf(u852,axiom,
    ( element_of_set(f11(X0,boundary(a,cx,ct)),sF1)
    | element_of_collection(boundary(a,cx,ct),top_of_basis(X0)) ) ).

cnf(u10323,negated_conjecture,
    ( element_of_set(X1,interior(a,cx,X0))
    | ~ element_of_set(X1,a) ) ).

cnf(u578,axiom,
    ( ~ subset_sets(closure(X2,X3,X4),X0)
    | ~ element_of_collection(closure(X2,X3,X4),X1)
    | element_of_collection(X0,top_of_basis(X1))
    | closed(f14(X2,X3,X4,f11(X1,X0)),X3,X4)
    | ~ subset_sets(X2,X3)
    | ~ topological_space(X3,X4) ) ).

cnf(u3706,axiom,
    ( ~ element_of_set(X0,f21(X1,top_of_basis(subspace_topology(X2,X3,X4))))
    | topological_space(X2,X3)
    | connected_space(X1,top_of_basis(subspace_topology(X2,X3,X4)))
    | ~ topological_space(X1,top_of_basis(subspace_topology(X2,X3,X4))) ) ).

cnf(u647,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,X4),X1,X2)
    | ~ subset_sets(X0,f13(a,cx,ct,X4))
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | element_of_set(f20(closure(X0,X1,X2),X3),sF0)
    | ~ element_of_set(X4,sF0) ) ).

cnf(topological_space_9,axiom,
    ( ~ topological_space(X0,X1)
    | element_of_collection(X0,X1) ) ).

cnf(u675,negated_conjecture,
    ( subset_sets(f13(f14(X1,cx,ct,X2),X3,X4,f20(closure(X0,X5,X6),X7)),f14(f13(f14(X1,cx,ct,X2),X3,X4,f20(closure(X0,X5,X6),X7)),cx,ct,X8))
    | ~ closed(interior(f14(X1,cx,ct,X2),X3,X4),X5,X6)
    | ~ topological_space(closure(X0,X5,X6),X7)
    | hausdorff(closure(X0,X5,X6),X7)
    | ~ subset_sets(X1,cx)
    | element_of_set(X2,a)
    | ~ subset_sets(f13(f14(X1,cx,ct,X2),X3,X4,f20(closure(X0,X5,X6),X7)),cx)
    | ~ subset_sets(X1,a)
    | ~ subset_sets(X0,interior(f14(X1,cx,ct,X2),X3,X4))
    | element_of_set(X8,f14(X1,cx,ct,X2)) ) ).

cnf(u921,axiom,
    ( ~ subset_sets(X4,f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))))
    | ~ element_of_collection(X4,X5)
    | ~ topological_space(X0,X5)
    | ~ element_of_set(X6,X4)
    | element_of_collection(interior(X0,X1,X2),top_of_basis(X3))
    | element_of_set(X6,interior(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X0,X5)) ) ).

cnf(u9616,negated_conjecture,
    ( element_of_set(f11(X3,f13(a,cx,X0,f11(subspace_topology(X2,X4,X1),interior(a,cx,X0)))),interior(a,cx,X0))
    | element_of_set(X5,f10(X3,f13(a,cx,X0,f11(subspace_topology(X2,X4,X1),interior(a,cx,X0))),X5))
    | subset_sets(X1,X2)
    | ~ topological_space(cx,X0)
    | element_of_set(f11(X0,a),sF0)
    | ~ element_of_set(X5,f13(a,cx,X0,f11(subspace_topology(X2,X4,X1),interior(a,cx,X0)))) ) ).

cnf(u3892,negated_conjecture,
    ( ~ subset_sets(a,f14(a,cx,ct,f11(X3,f14(sF1,X0,X1,X2))))
    | ~ element_of_collection(sF1,X3)
    | element_of_set(X2,closure(sF1,X0,X1))
    | ~ subset_sets(sF1,X0)
    | ~ topological_space(X0,X1)
    | element_of_set(f11(X4,sF1),f14(a,cx,ct,f11(X3,f14(sF1,X0,X1,X2))))
    | element_of_collection(sF1,top_of_basis(X4))
    | element_of_collection(f14(sF1,X0,X1,X2),top_of_basis(X3)) ) ).

cnf(u8334,negated_conjecture,
    ( ~ element_of_collection(f13(f13(a,cx,X1,X0),X2,X3,f19(closure(X4,X5,X6),X7)),X8)
    | element_of_set(f11(X1,a),a)
    | ~ element_of_set(X0,a)
    | ~ topological_space(a,X8)
    | ~ element_of_set(X9,f13(f13(a,cx,X1,X0),X2,X3,f19(closure(X4,X5,X6),X7)))
    | ~ topological_space(cx,X1)
    | element_of_set(X9,interior(f13(a,cx,X1,X0),a,X8))
    | ~ subset_sets(X4,interior(f13(a,cx,X1,X0),X2,X3))
    | ~ closed(interior(f13(a,cx,X1,X0),X2,X3),X5,X6)
    | ~ topological_space(closure(X4,X5,X6),X7)
    | hausdorff(closure(X4,X5,X6),X7) ) ).

cnf(u7364,axiom,
    ( ~ closed(f9(X0,X1),X3,X4)
    | basis(X0,X1)
    | element_of_set(f7(closure(X2,X3,X4),X5),union_of_members(X1))
    | ~ topological_space(closure(X2,X3,X4),X5)
    | ~ subset_sets(X2,f9(X0,X1))
    | ~ topological_space(X0,X1)
    | basis(closure(X2,X3,X4),X5) ) ).

cnf(u4044,axiom,
    ( ~ closed(f13(X4,X5,X6,f11(X3,closure(X0,X1,X2))),X8,X9)
    | ~ subset_sets(X0,interior(X4,X5,X6))
    | ~ closed(interior(X4,X5,X6),X1,X2)
    | element_of_set(f20(closure(X7,X8,X9),X10),interior(X4,X5,X6))
    | hausdorff(closure(X7,X8,X9),X10)
    | ~ subset_sets(X7,f13(X4,X5,X6,f11(X3,closure(X0,X1,X2))))
    | element_of_collection(closure(X0,X1,X2),top_of_basis(X3))
    | ~ topological_space(closure(X7,X8,X9),X10) ) ).

cnf(u4847,negated_conjecture,
    ( hausdorff(boundary(a,cx,ct),subspace_topology(X0,X1,boundary(a,cx,ct)))
    | ~ compact_set(boundary(a,cx,ct),X0,X1) ) ).

cnf(u803,axiom,
    ( ~ closed(X1,cx,ct)
    | element_of_set(f11(X0,sF1),X1)
    | element_of_collection(sF1,top_of_basis(X0))
    | ~ subset_sets(a,X1) ) ).

cnf(u6588,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,f20(closure(X0,X1,X2),X3)),X6,X7)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | element_of_set(f11(X4,closure(X5,X6,X7)),interior(a,sF0,ct))
    | ~ subset_sets(X0,sF0)
    | ~ closed(sF0,X1,X2)
    | element_of_collection(closure(X5,X6,X7),top_of_basis(X4))
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ subset_sets(X5,f13(a,cx,ct,f20(closure(X0,X1,X2),X3))) ) ).

cnf(u3887,negated_conjecture,
    ( ~ subset_sets(a,f14(X0,cx,ct,f11(X4,f14(closure(X0,cx,ct),X1,X2,X3))))
    | ~ element_of_collection(closure(X0,cx,ct),X4)
    | ~ subset_sets(X0,cx)
    | element_of_set(X3,closure(closure(X0,cx,ct),X1,X2))
    | ~ subset_sets(closure(X0,cx,ct),X1)
    | ~ topological_space(X1,X2)
    | hausdorff(sF1,X5)
    | element_of_collection(f14(closure(X0,cx,ct),X1,X2,X3),top_of_basis(X4))
    | element_of_set(f20(sF1,X5),f14(X0,cx,ct,f11(X4,f14(closure(X0,cx,ct),X1,X2,X3))))
    | ~ topological_space(sF1,X5) ) ).

cnf(u8388,negated_conjecture,
    ( ~ subset_sets(f14(f13(a,cx,ct,f11(X1,sF0)),cx,ct,X2),cx)
    | ~ element_of_set(X0,sF0)
    | ~ element_of_set(X3,f13(a,cx,ct,f11(X1,sF0)))
    | element_of_set(X0,f10(X1,sF0,X0))
    | element_of_set(X3,interior(f14(f13(a,cx,ct,f11(X1,sF0)),cx,ct,X2),cx,ct))
    | ~ subset_sets(f13(a,cx,ct,f11(X1,sF0)),cx)
    | element_of_set(X2,a) ) ).

cnf(u4009,axiom,
    ( ~ topological_space(closure(X2,X3,X4),X5)
    | element_of_set(f19(closure(X2,X3,X4),X5),union_of_members(top_of_basis(X0)))
    | hausdorff(closure(X2,X3,X4),X5)
    | ~ subset_sets(X2,X1)
    | ~ closed(X1,X3,X4)
    | element_of_set(f11(X0,X1),X1) ) ).

cnf(u9583,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X2,X3,X1),interior(a,cx,X0)),f13(a,cx,X0,f11(subspace_topology(X2,X3,X1),interior(a,cx,X0))))
    | subset_sets(X1,X2)
    | element_of_set(f11(X0,a),sF0)
    | ~ topological_space(cx,X0) ) ).

cnf(u3839,axiom,
    ( basis(interior(X0,X1,X2),subspace_topology(X3,X4,interior(X0,X1,X2)))
    | ~ compact_set(interior(X0,X1,X2),X3,X4)
    | topological_space(X1,X2) ) ).

cnf(u7383,axiom,
    ( element_of_set(X10,interior(f14(f13(X0,X1,X2,f7(interior(X0,X1,X2),X3)),X4,X5,f11(X9,f14(closure(f13(X0,X1,X2,f7(interior(X0,X1,X2),X3)),X4,X5),X6,X7,X8))),X1,X2))
    | ~ element_of_collection(closure(f13(X0,X1,X2,f7(interior(X0,X1,X2),X3)),X4,X5),X9)
    | ~ subset_sets(f13(X0,X1,X2,f7(interior(X0,X1,X2),X3)),X4)
    | ~ topological_space(X4,X5)
    | element_of_set(X8,closure(closure(f13(X0,X1,X2,f7(interior(X0,X1,X2),X3)),X4,X5),X6,X7))
    | ~ subset_sets(closure(f13(X0,X1,X2,f7(interior(X0,X1,X2),X3)),X4,X5),X6)
    | ~ topological_space(X6,X7)
    | basis(interior(X0,X1,X2),X3)
    | ~ subset_sets(f14(f13(X0,X1,X2,f7(interior(X0,X1,X2),X3)),X4,X5,f11(X9,f14(closure(f13(X0,X1,X2,f7(interior(X0,X1,X2),X3)),X4,X5),X6,X7,X8))),X1)
    | ~ element_of_set(X10,f13(X0,X1,X2,f7(interior(X0,X1,X2),X3)))
    | ~ topological_space(interior(X0,X1,X2),X3)
    | element_of_collection(f14(closure(f13(X0,X1,X2,f7(interior(X0,X1,X2),X3)),X4,X5),X6,X7,X8),top_of_basis(X9)) ) ).

cnf(u1609,axiom,
    ( ~ closed(f1(ct,X4),X1,X2)
    | ~ subset_sets(X0,f1(ct,X4))
    | ~ topological_space(closure(X0,X1,X2),X3)
    | basis(closure(X0,X1,X2),X3)
    | ~ element_of_set(X4,sF0)
    | element_of_set(f7(closure(X0,X1,X2),X3),union_of_members(ct)) ) ).

cnf(u9717,negated_conjecture,
    ( open(f13(a,cx,X1,X0),cx,X1)
    | element_of_set(f11(X1,a),union_of_members(top_of_basis(X2)))
    | element_of_set(f11(X2,a),a)
    | ~ topological_space(cx,X1)
    | ~ element_of_set(X0,a) ) ).

cnf(u6877,negated_conjecture,
    ( ~ subset_sets(X3,f14(X2,X0,X1,X4))
    | ~ subset_sets(X2,sF1)
    | ~ subset_sets(X2,X0)
    | ~ subset_sets(X3,X0)
    | ~ closed(sF1,X0,X1)
    | subset_sets(X3,f14(X3,X0,X1,X5))
    | element_of_set(X5,f14(X2,X0,X1,X4)) ) ).

cnf(u473,axiom,
    ( element_of_set(f19(f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),X4),interior(X0,X1,X2))
    | hausdorff(interior(X0,X1,X2),X3)
    | ~ topological_space(interior(X0,X1,X2),X3)
    | ~ topological_space(f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),X4)
    | hausdorff(f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),X4) ) ).

cnf(u272,axiom,
    ( ~ topological_space(closure(X0,X1,X2),X3)
    | hausdorff(closure(X0,X1,X2),X3)
    | topological_space(X1,X2) ) ).

cnf(u7128,axiom,
    ( ~ topological_space(f13(X0,X1,X2,f11(X7,closure(X5,X3,X4))),X8)
    | ~ subset_sets(X5,interior(X0,X1,X2))
    | ~ element_of_set(X6,closure(X5,X3,X4))
    | element_of_set(X6,f10(X7,closure(X5,X3,X4),X6))
    | element_of_set(f7(f13(X0,X1,X2,f11(X7,closure(X5,X3,X4))),X8),interior(X0,X1,X2))
    | basis(f13(X0,X1,X2,f11(X7,closure(X5,X3,X4))),X8)
    | ~ closed(interior(X0,X1,X2),X3,X4) ) ).

cnf(u8216,negated_conjecture,
    ( ~ closed(f13(a,cx,X1,X0),X3,X4)
    | ~ topological_space(cx,X1)
    | element_of_set(f11(X1,a),a)
    | element_of_set(f7(closure(X2,X3,X4),X5),union_of_members(X1))
    | ~ topological_space(closure(X2,X3,X4),X5)
    | ~ subset_sets(X2,f13(a,cx,X1,X0))
    | ~ element_of_set(X0,a)
    | basis(closure(X2,X3,X4),X5) ) ).

cnf(u3844,axiom,
    ( element_of_set(f20(closure(X0,X1,X2),subspace_topology(X3,X4,closure(X0,X1,X2))),X5)
    | ~ subset_sets(X0,sF1)
    | hausdorff(closure(X0,X1,X2),subspace_topology(X3,X4,closure(X0,X1,X2)))
    | ~ closed(sF1,X1,X2)
    | ~ subset_sets(a,X5)
    | ~ closed(X5,cx,ct)
    | ~ compact_set(closure(X0,X1,X2),X3,X4) ) ).

cnf(u4039,axiom,
    ( ~ closed(f13(X4,X5,X6,f11(X3,closure(X0,X1,X2))),X9,X10)
    | ~ subset_sets(X0,interior(X4,X5,X6))
    | ~ closed(interior(X4,X5,X6),X1,X2)
    | element_of_set(f11(X7,closure(X8,X9,X10)),interior(X4,X5,X6))
    | element_of_collection(closure(X8,X9,X10),top_of_basis(X7))
    | element_of_collection(closure(X0,X1,X2),top_of_basis(X3))
    | ~ subset_sets(X8,f13(X4,X5,X6,f11(X3,closure(X0,X1,X2)))) ) ).

cnf(u4050,negated_conjecture,
    ( ~ element_of_set(X1,f10(X0,a,X2))
    | ~ topological_space(cx,X0)
    | ~ element_of_collection(a,top_of_basis(X0))
    | ~ element_of_set(X2,a)
    | element_of_set(X1,interior(a,cx,X0)) ) ).

cnf(u9785,negated_conjecture,
    ( element_of_set(f20(f13(a,cx,X1,X0),X2),union_of_members(top_of_basis(X3)))
    | element_of_set(f11(X3,interior(a,cx,X1)),interior(a,cx,X1))
    | element_of_set(f11(X1,a),a)
    | ~ topological_space(f13(a,cx,X1,X0),X2)
    | hausdorff(f13(a,cx,X1,X0),X2)
    | ~ topological_space(cx,X1)
    | ~ element_of_set(X0,a) ) ).

cnf(u601,negated_conjecture,
    ( ~ subset_sets(f14(relative_complement_sets(X0,X1),cx,ct,X2),X1)
    | ~ subset_sets(relative_complement_sets(X0,X1),a)
    | element_of_set(X3,a)
    | ~ subset_sets(relative_complement_sets(X0,X1),cx)
    | element_of_set(X2,f14(relative_complement_sets(X0,X1),cx,ct,X3))
    | ~ element_of_set(X4,relative_complement_sets(X0,X1))
    | ~ closed(X0,X1,X5)
    | element_of_set(X4,interior(f14(relative_complement_sets(X0,X1),cx,ct,X2),X1,X5)) ) ).

cnf(u243,negated_conjecture,
    ( element_of_set(X0,union_of_members(ct))
    | ~ element_of_set(X0,empty_set) ) ).

cnf(u7470,axiom,
    ( element_of_set(X2,f10(X0,intersection_of_members(X1),X2))
    | element_of_set(f11(X0,intersection_of_members(X1)),X3)
    | ~ element_of_collection(X3,X1)
    | ~ element_of_set(X2,intersection_of_members(X1)) ) ).

cnf(u7225,axiom,
    ( ~ closed(f13(boundary(X0,X1,X2),X3,X4,f20(closure(X5,X6,X7),X8)),X1,X2)
    | ~ subset_sets(X0,f13(boundary(X0,X1,X2),X3,X4,f20(closure(X5,X6,X7),X8)))
    | ~ element_of_collection(f13(boundary(X0,X1,X2),X3,X4,f20(closure(X5,X6,X7),X8)),X9)
    | element_of_collection(boundary(X0,X1,X2),top_of_basis(X9))
    | ~ subset_sets(X5,interior(boundary(X0,X1,X2),X3,X4))
    | ~ closed(interior(boundary(X0,X1,X2),X3,X4),X6,X7)
    | ~ topological_space(closure(X5,X6,X7),X8)
    | hausdorff(closure(X5,X6,X7),X8) ) ).

cnf(u7451,axiom,
    ( ~ closed(f8(X0,X1),X3,X4)
    | basis(X0,X1)
    | element_of_set(f19(closure(X2,X3,X4),X5),union_of_members(X1))
    | hausdorff(closure(X2,X3,X4),X5)
    | ~ subset_sets(X2,f8(X0,X1))
    | ~ topological_space(X0,X1)
    | ~ topological_space(closure(X2,X3,X4),X5) ) ).

cnf(u7239,axiom,
    ( element_of_set(f11(subspace_topology(X5,X6,X4),f13(X0,X1,X2,f7(interior(X0,X1,X2),X3))),f13(X0,X1,X2,f7(interior(X0,X1,X2),X3)))
    | basis(interior(X0,X1,X2),X3)
    | subset_sets(X4,X5)
    | ~ topological_space(interior(X0,X1,X2),X3) ) ).

cnf(u8157,negated_conjecture,
    ( element_of_set(X2,f10(X1,f13(a,cx,ct,X0),X2))
    | ~ element_of_collection(sF0,X1)
    | ~ subset_sets(sF0,f13(a,cx,ct,X0))
    | ~ element_of_set(X2,f13(a,cx,ct,X0))
    | ~ element_of_set(X0,a) ) ).

cnf(u1460,axiom,
    ( element_of_set(f11(X4,f13(X0,X1,X2,f11(X3,interior(X0,X1,X2)))),interior(X0,X1,X2))
    | element_of_collection(interior(X0,X1,X2),top_of_basis(X3))
    | element_of_collection(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),top_of_basis(X4)) ) ).

cnf(u1695,axiom,
    ( ~ closed(interior(X0,X1,X2),cx,ct)
    | ~ subset_sets(a,interior(X0,X1,X2))
    | open(f13(X0,X1,X2,f7(sF1,X3)),X1,X2)
    | basis(sF1,X3)
    | ~ topological_space(sF1,X3) ) ).

cnf(u371,axiom,
    ( ~ subset_sets(X1,f13(a,cx,ct,f19(sF0,X0)))
    | ~ topological_space(sF0,X0)
    | ~ element_of_collection(X1,X2)
    | ~ topological_space(a,X2)
    | ~ element_of_set(X3,X1)
    | hausdorff(sF0,X0)
    | element_of_set(X3,interior(f13(a,cx,ct,f19(sF0,X0)),a,X2)) ) ).

cnf(u318,axiom,
    ( ~ closed(X2,X3,subspace_topology(X1,X4,X0))
    | subset_sets(X0,X1) ) ).

cnf(u9573,negated_conjecture,
    ( ~ closed(f13(a,cx,X0,f11(subspace_topology(X2,X7,X1),interior(a,cx,X0))),X5,X6)
    | ~ topological_space(cx,X0)
    | subset_sets(X1,X2)
    | element_of_set(f11(X3,closure(X4,X5,X6)),interior(a,cx,X0))
    | element_of_collection(closure(X4,X5,X6),top_of_basis(X3))
    | element_of_set(f11(X0,a),a)
    | ~ subset_sets(X4,f13(a,cx,X0,f11(subspace_topology(X2,X7,X1),interior(a,cx,X0)))) ) ).

cnf(u994,axiom,
    ( ~ closed(f13(closure(X1,X2,X3),X4,X5,f19(closure(X0,X6,X7),X8)),X2,X3)
    | ~ closed(interior(closure(X1,X2,X3),X4,X5),X6,X7)
    | ~ topological_space(closure(X0,X6,X7),X8)
    | hausdorff(closure(X0,X6,X7),X8)
    | ~ subset_sets(X0,interior(closure(X1,X2,X3),X4,X5))
    | ~ subset_sets(X1,f13(closure(X1,X2,X3),X4,X5,f19(closure(X0,X6,X7),X8)))
    | ~ element_of_collection(f13(closure(X1,X2,X3),X4,X5,f19(closure(X0,X6,X7),X8)),X9)
    | element_of_collection(closure(X1,X2,X3),top_of_basis(X9)) ) ).

cnf(u590,axiom,
    ( ~ limit_point(X0,X1,X4,X3)
    | limit_point(X0,X1,X2,X3)
    | ~ topological_space(X2,X3)
    | ~ subset_sets(X1,X2) ) ).

cnf(u224,axiom,
    ( ~ topological_space(intersection_of_sets(X2,X3),X4)
    | ~ subset_sets(X2,X0)
    | ~ element_of_collection(X3,X1)
    | element_of_collection(union_of_members(X4),subspace_topology(X0,X1,X2))
    | ~ topological_space(X0,X1) ) ).

cnf(u9457,negated_conjecture,
    ( element_of_set(f11(X0,closure(X1,X2,X3)),union_of_members(top_of_basis(X5)))
    | element_of_set(X4,f10(X0,closure(X1,X2,X3),X4))
    | ~ closed(a,X2,X3)
    | ~ subset_sets(X1,a)
    | element_of_set(f11(X5,sF0),sF0)
    | ~ element_of_set(X4,closure(X1,X2,X3)) ) ).

cnf(closed_set_21,axiom,
    ( ~ closed(X0,X1,X2)
    | topological_space(X1,X2) ) ).

cnf(u687,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,f20(closure(X2,X0,X1),X3)),X5,X6)
    | ~ subset_sets(X2,sF0)
    | ~ topological_space(closure(X2,X0,X1),X3)
    | hausdorff(closure(X2,X0,X1),X3)
    | element_of_set(f20(closure(X4,X5,X6),X7),sF0)
    | hausdorff(closure(X4,X5,X6),X7)
    | ~ subset_sets(X4,f13(a,cx,ct,f20(closure(X2,X0,X1),X3)))
    | ~ closed(sF0,X0,X1)
    | ~ topological_space(closure(X4,X5,X6),X7) ) ).

cnf(u933,negated_conjecture,
    ( ~ element_of_set(X1,f13(a,cx,ct,f11(X0,sF0)))
    | element_of_set(X1,sF0)
    | element_of_collection(sF0,top_of_basis(X0)) ) ).

cnf(u1130,axiom,
    ( element_of_collection(f12(X2,X3,X4,f13(X0,X1,subspace_topology(X2,X3,X4),f19(closure(X7,X5,X6),X8))),X3)
    | ~ topological_space(closure(X7,X5,X6),X8)
    | hausdorff(closure(X7,X5,X6),X8)
    | ~ subset_sets(X7,interior(X0,X1,subspace_topology(X2,X3,X4)))
    | ~ closed(interior(X0,X1,subspace_topology(X2,X3,X4)),X5,X6) ) ).

cnf(u9870,axiom,
    ( ~ element_of_set(X6,f13(X0,X1,top_of_basis(subspace_topology(X2,X3,X4)),f7(interior(X0,X1,top_of_basis(subspace_topology(X2,X3,X4))),X5)))
    | ~ topological_space(interior(X0,X1,top_of_basis(subspace_topology(X2,X3,X4))),X5)
    | basis(interior(X0,X1,top_of_basis(subspace_topology(X2,X3,X4))),X5)
    | subset_sets(X4,X2) ) ).

cnf(u8027,negated_conjecture,
    ( ~ element_of_collection(f13(a,X0,X1,f11(X2,interior(a,X0,X1))),X4)
    | ~ element_of_set(X3,interior(a,X0,X1))
    | ~ topological_space(cx,X4)
    | ~ element_of_set(X5,f13(a,X0,X1,f11(X2,interior(a,X0,X1))))
    | element_of_set(X3,f10(X2,interior(a,X0,X1),X3))
    | element_of_set(X5,interior(a,cx,X4)) ) ).

cnf(u3022,axiom,
    ( ~ closed(f13(X4,X5,X6,f19(closure(X0,X1,X2),X3)),X9,X10)
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ closed(interior(X4,X5,X6),X1,X2)
    | ~ subset_sets(X0,interior(X4,X5,X6))
    | element_of_set(f11(X7,closure(X8,X9,X10)),interior(X4,X5,X6))
    | element_of_collection(closure(X8,X9,X10),top_of_basis(X7))
    | ~ topological_space(closure(X0,X1,X2),X3)
    | ~ subset_sets(X8,f13(X4,X5,X6,f19(closure(X0,X1,X2),X3))) ) ).

cnf(u1630,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,f20(sF0,X4)),X1,X2)
    | ~ subset_sets(X0,f13(a,cx,ct,f20(sF0,X4)))
    | ~ topological_space(closure(X0,X1,X2),X3)
    | basis(closure(X0,X1,X2),X3)
    | element_of_set(f7(closure(X0,X1,X2),X3),sF0)
    | ~ topological_space(sF0,X4)
    | hausdorff(sF0,X4) ) ).

cnf(u6964,axiom,
    ( element_of_collection(interior(X0,X1,subspace_topology(X2,X3,X4)),top_of_basis(X5))
    | subset_sets(X4,X2) ) ).

cnf(u7096,axiom,
    ( ~ closed(f13(closure(X1,X2,X3),X4,X5,f19(interior(closure(X1,X2,X3),X4,X5),X6)),X2,X3)
    | ~ element_of_set(X0,closure(X1,X2,X3))
    | ~ subset_sets(X1,f13(closure(X1,X2,X3),X4,X5,f19(interior(closure(X1,X2,X3),X4,X5),X6)))
    | ~ element_of_collection(f13(closure(X1,X2,X3),X4,X5,f19(interior(closure(X1,X2,X3),X4,X5),X6)),X7)
    | element_of_set(X0,f10(X7,closure(X1,X2,X3),X0))
    | hausdorff(interior(closure(X1,X2,X3),X4,X5),X6)
    | ~ topological_space(interior(closure(X1,X2,X3),X4,X5),X6) ) ).

cnf(u8201,axiom,
    ( ~ closed(f13(X1,X2,X3,f11(X4,interior(X1,X2,X3))),X7,X8)
    | element_of_set(X0,f10(X4,interior(X1,X2,X3),X0))
    | element_of_set(f11(X5,closure(X6,X7,X8)),interior(X1,X2,X3))
    | element_of_collection(closure(X6,X7,X8),top_of_basis(X5))
    | ~ element_of_set(X0,interior(X1,X2,X3))
    | ~ subset_sets(X6,f13(X1,X2,X3,f11(X4,interior(X1,X2,X3)))) ) ).

cnf(u10636,negated_conjecture,
    ( hausdorff(closure(X0,X1,X2),X3)
    | ~ closed(cx,X1,X2) ) ).

cnf(u1731,axiom,
    ( ~ topological_space(f13(X1,X2,X3,f20(sF1,X0)),X4)
    | hausdorff(sF1,X0)
    | ~ closed(interior(X1,X2,X3),cx,ct)
    | ~ subset_sets(a,interior(X1,X2,X3))
    | element_of_set(f7(f13(X1,X2,X3,f20(sF1,X0)),X4),interior(X1,X2,X3))
    | basis(f13(X1,X2,X3,f20(sF1,X0)),X4)
    | ~ topological_space(sF1,X0) ) ).

cnf(u4154,axiom,
    ( element_of_set(f11(subspace_topology(X1,X2,X0),f13(X3,X4,X5,f19(interior(X3,X4,X5),X6))),f13(X3,X4,X5,f19(interior(X3,X4,X5),X6)))
    | subset_sets(X0,X1)
    | hausdorff(interior(X3,X4,X5),X6)
    | ~ topological_space(interior(X3,X4,X5),X6) ) ).

cnf(u3873,axiom,
    ( ~ subset_sets(X7,f14(X0,X1,X2,f11(X6,f14(closure(X0,X1,X2),X3,X4,X5))))
    | ~ element_of_collection(closure(X0,X1,X2),X6)
    | ~ subset_sets(X0,X1)
    | ~ topological_space(X1,X2)
    | element_of_set(X5,closure(closure(X0,X1,X2),X3,X4))
    | ~ subset_sets(closure(X0,X1,X2),X3)
    | ~ topological_space(X3,X4)
    | ~ subset_sets(X7,X1)
    | element_of_collection(f14(closure(X0,X1,X2),X3,X4,X5),top_of_basis(X6))
    | closed(f14(X7,X1,X2,X8),X1,X2)
    | element_of_set(X8,f14(X0,X1,X2,f11(X6,f14(closure(X0,X1,X2),X3,X4,X5)))) ) ).

cnf(u6675,negated_conjecture,
    ( element_of_set(f11(X3,closure(X0,X1,X2)),f13(a,sF0,ct,f11(X3,closure(X0,X1,X2))))
    | ~ closed(sF0,X1,X2)
    | ~ subset_sets(X0,sF0)
    | element_of_collection(closure(X0,X1,X2),top_of_basis(X3)) ) ).

cnf(u4094,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X1,X2,X0),f1(ct,X3)),f1(ct,X3))
    | subset_sets(X0,X1)
    | ~ element_of_set(X3,cx) ) ).

cnf(u4146,axiom,
    ( ~ limit_point(X5,X4,X6,X7)
    | element_of_set(f11(subspace_topology(X1,X2,X0),intersection_of_sets(X3,X4)),intersection_of_sets(X3,X4))
    | ~ neighborhood(X3,X5,X6,X7)
    | subset_sets(X0,X1) ) ).

cnf(u337,negated_conjecture,
    ( element_of_set(f7(intersection_of_sets(X0,X1),X2),union_of_members(ct))
    | ~ topological_space(intersection_of_sets(X0,X1),X2)
    | basis(intersection_of_sets(X0,X1),X2)
    | ~ element_of_collection(X1,ct)
    | ~ element_of_collection(X0,ct) ) ).

cnf(u1263,negated_conjecture,
    ( ~ subset_sets(a,f14(X0,cx,ct,X1))
    | ~ subset_sets(X0,a)
    | element_of_set(X2,a)
    | ~ subset_sets(X0,cx)
    | element_of_set(X1,f14(X0,cx,ct,X2))
    | ~ element_of_set(X3,sF1)
    | element_of_set(X3,f14(X0,cx,ct,X1)) ) ).

cnf(u485,axiom,
    ( element_of_collection(f13(a,cx,ct,f20(sF0,X0)),ct)
    | ~ topological_space(sF0,X0)
    | hausdorff(sF0,X0) ) ).

cnf(u284,axiom,
    ( subset_sets(f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),X0)
    | hausdorff(interior(X0,X1,X2),X3)
    | ~ topological_space(interior(X0,X1,X2),X3) ) ).

cnf(u416,axiom,
    ( ~ neighborhood(f16(X0,X1,X4,X5),X0,X2,X3)
    | ~ topological_space(X4,X5)
    | ~ subset_sets(X1,X4)
    | limit_point(X0,X1,X4,X5)
    | ~ limit_point(X0,X1,X2,X3) ) ).

cnf(u973,axiom,
    ( ~ closed(closure(X4,X5,X6),X1,X2)
    | ~ subset_sets(X0,closure(X4,X5,X6))
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | ~ subset_sets(X4,X7)
    | ~ closed(X7,X5,X6)
    | element_of_set(f19(closure(X0,X1,X2),X3),X7) ) ).

cnf(u6554,negated_conjecture,
    ( ~ element_of_set(X3,boundary(X2,X0,X1))
    | ~ subset_sets(X2,sF1)
    | ~ closed(sF1,X0,X1)
    | element_of_set(X3,union_of_members(top_of_basis(X4))) ) ).

cnf(u4081,axiom,
    ( element_of_set(f20(f13(a,cx,ct,f19(sF0,X0)),X1),union_of_members(ct))
    | ~ topological_space(sF0,X0)
    | hausdorff(sF0,X0)
    | ~ topological_space(f13(a,cx,ct,f19(sF0,X0)),X1)
    | hausdorff(f13(a,cx,ct,f19(sF0,X0)),X1) ) ).

cnf(compact_set_107,axiom,
    ( ~ compact_set(X0,X1,X2)
    | subset_sets(X0,X1) ) ).

cnf(u255,negated_conjecture,
    ( ~ subset_sets(a,f14(X0,cx,ct,X1))
    | ~ subset_sets(X0,cx)
    | element_of_set(X1,a)
    | ~ subset_sets(X0,a)
    | ~ element_of_set(X2,sF1)
    | element_of_set(X2,f14(X0,cx,ct,X1)) ) ).

cnf(u1034,negated_conjecture,
    ( ~ subset_sets(f14(f13(X0,X1,X2,f19(sF1,X3)),cx,ct,X4),X1)
    | ~ topological_space(sF1,X3)
    | hausdorff(sF1,X3)
    | ~ closed(interior(X0,X1,X2),cx,ct)
    | ~ element_of_set(X5,f13(X0,X1,X2,f19(sF1,X3)))
    | ~ subset_sets(a,interior(X0,X1,X2))
    | element_of_set(X5,interior(f14(f13(X0,X1,X2,f19(sF1,X3)),cx,ct,X4),X1,X2))
    | element_of_set(X4,f14(f13(X0,X1,X2,f19(sF1,X3)),cx,ct,X6))
    | ~ subset_sets(f13(X0,X1,X2,f19(sF1,X3)),a)
    | element_of_set(X6,a)
    | ~ subset_sets(f13(X0,X1,X2,f19(sF1,X3)),cx) ) ).

cnf(u3925,negated_conjecture,
    ( ~ topological_space(X3,f24(X0,ct))
    | ~ topological_space(X0,ct)
    | element_of_set(X1,union_of_members(ct))
    | limit_point(X1,X2,X3,f24(X0,ct))
    | ~ subset_sets(X2,X3)
    | compact_space(X0,ct) ) ).

cnf(u7721,negated_conjecture,
    ( ~ closed(f13(a,cx,X0,X1),X3,X4)
    | ~ element_of_set(X1,a)
    | ~ topological_space(cx,X0)
    | element_of_set(f19(closure(X2,X3,X4),X5),interior(a,cx,X0))
    | hausdorff(closure(X2,X3,X4),X5)
    | ~ subset_sets(X2,f13(a,cx,X0,X1))
    | element_of_set(f11(X0,a),a)
    | ~ topological_space(closure(X2,X3,X4),X5) ) ).

cnf(u1722,axiom,
    ( ~ closed(f13(X4,X5,X6,f20(closure(X0,X1,X2),X3)),X9,X10)
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ closed(interior(X4,X5,X6),X1,X2)
    | ~ subset_sets(X0,interior(X4,X5,X6))
    | element_of_set(f11(X7,closure(X8,X9,X10)),interior(X4,X5,X6))
    | element_of_collection(closure(X8,X9,X10),top_of_basis(X7))
    | ~ topological_space(closure(X0,X1,X2),X3)
    | ~ subset_sets(X8,f13(X4,X5,X6,f20(closure(X0,X1,X2),X3))) ) ).

cnf(u22795,axiom,
    ( ~ connected_space(intersection_of_sets(X2,f12(X3,X4,X2,union_of_sets(X1,X0))),X5)
    | equal_sets(X1,empty_set)
    | ~ disjoint_s(X1,X0)
    | equal_sets(X0,empty_set) ) ).

cnf(u970,axiom,
    ( closed(f14(relative_complement_sets(X4,X5),X5,X6,f19(closure(X0,X1,X2),X3)),X5,X6)
    | ~ subset_sets(X0,closure(X4,X5,X6))
    | ~ closed(closure(X4,X5,X6),X1,X2)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | element_of_set(f19(closure(X0,X1,X2),X3),boundary(X4,X5,X6))
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ subset_sets(relative_complement_sets(X4,X5),X5) ) ).

cnf(u1025,axiom,
    ( element_of_set(X10,interior(f14(f13(X0,X1,X2,f19(closure(X5,X3,X4),X6)),X7,X8,X9),X1,X2))
    | ~ topological_space(closure(X5,X3,X4),X6)
    | hausdorff(closure(X5,X3,X4),X6)
    | ~ subset_sets(f14(f13(X0,X1,X2,f19(closure(X5,X3,X4),X6)),X7,X8,X9),X1)
    | ~ element_of_set(X10,f13(X0,X1,X2,f19(closure(X5,X3,X4),X6)))
    | ~ subset_sets(X5,interior(X0,X1,X2))
    | ~ closed(interior(X0,X1,X2),X3,X4)
    | element_of_set(X9,closure(f13(X0,X1,X2,f19(closure(X5,X3,X4),X6)),X7,X8))
    | ~ subset_sets(f13(X0,X1,X2,f19(closure(X5,X3,X4),X6)),X7)
    | ~ topological_space(X7,X8) ) ).

cnf(u9027,negated_conjecture,
    ( element_of_set(X1,interior(a,cx,X0))
    | element_of_set(f11(X0,a),sF0)
    | ~ topological_space(cx,X0)
    | ~ element_of_set(X1,a) ) ).

cnf(u1937,negated_conjecture,
    ( element_of_set(X0,closure(relative_complement_sets(a,cx),cx,ct))
    | ~ element_of_set(X0,sF1) ) ).

cnf(u12136,axiom,
    hausdorff(interior(X0,X1,X2),X3) ).

cnf(u9770,negated_conjecture,
    ( ~ element_of_collection(f13(a,cx,X0,f19(f13(a,cx,X0,X1),X2)),X3)
    | element_of_set(f11(X0,a),a)
    | ~ topological_space(f13(a,cx,X0,X1),X2)
    | hausdorff(f13(a,cx,X0,X1),X2)
    | ~ element_of_set(X1,a)
    | ~ topological_space(cx,X3)
    | ~ element_of_set(X4,f13(a,cx,X0,f19(f13(a,cx,X0,X1),X2)))
    | ~ topological_space(cx,X0)
    | element_of_set(X4,interior(a,cx,X3)) ) ).

cnf(u586,axiom,
    ( element_of_set(f7(X0,f24(X0,X1)),X0)
    | compact_space(X0,X1)
    | basis(X0,f24(X0,X1))
    | ~ topological_space(X0,X1) ) ).

cnf(u236,axiom,
    ( ~ subset_sets(X0,f14(X2,X1,X3,X4))
    | ~ subset_sets(X0,X1)
    | subset_sets(X0,f14(X0,X1,X3,X5))
    | element_of_set(X5,f14(X2,X1,X3,X4))
    | element_of_set(X4,closure(X2,X1,X3))
    | ~ subset_sets(X2,X1)
    | ~ topological_space(X1,X3) ) ).

cnf(u9892,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X0,X1,X2),f1(top_of_basis(X3),X4)),f1(top_of_basis(X3),X4))
    | topological_space(X0,X1)
    | element_of_set(f11(X3,sF1),sF1)
    | ~ element_of_set(X4,sF1) ) ).

cnf(u9652,negated_conjecture,
    ( element_of_set(X5,interior(f14(f13(a,cx,X0,f11(subspace_topology(X1,X2,X3),interior(a,cx,X0))),cx,ct,X4),cx,X0))
    | ~ topological_space(cx,X0)
    | ~ subset_sets(f14(f13(a,cx,X0,f11(subspace_topology(X1,X2,X3),interior(a,cx,X0))),cx,ct,X4),cx)
    | ~ element_of_set(X5,f13(a,cx,X0,f11(subspace_topology(X1,X2,X3),interior(a,cx,X0))))
    | subset_sets(X3,X1)
    | element_of_set(f11(X0,a),sF0)
    | ~ subset_sets(f13(a,cx,X0,f11(subspace_topology(X1,X2,X3),interior(a,cx,X0))),cx)
    | element_of_set(X4,a) ) ).

cnf(topological_space_17,axiom,
    ( ~ element_of_collection(intersection_of_sets(f3(X0,X1),f4(X0,X1)),X1)
    | ~ equal_sets(union_of_members(X1),X0)
    | ~ element_of_collection(empty_set,X1)
    | ~ element_of_collection(X0,X1)
    | topological_space(X0,X1)
    | ~ element_of_collection(union_of_members(f5(X0,X1)),X1) ) ).

cnf(u7444,axiom,
    ( element_of_set(f7(f8(X0,X1),X2),union_of_members(X1))
    | basis(X0,X1)
    | ~ topological_space(X0,X1)
    | basis(f8(X0,X1),X2)
    | ~ topological_space(f8(X0,X1),X2) ) ).

cnf(u8082,negated_conjecture,
    ( element_of_set(f7(f13(a,cx,ct,X0),X1),sF0)
    | ~ element_of_set(X0,a)
    | basis(f13(a,cx,ct,X0),X1)
    | ~ topological_space(f13(a,cx,ct,X0),X1) ) ).

cnf(u635,axiom,
    ( ~ closed(f1(ct,X4),X1,X2)
    | ~ subset_sets(X0,f1(ct,X4))
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | ~ element_of_set(X4,sF0)
    | element_of_set(f20(closure(X0,X1,X2),X3),union_of_members(ct)) ) ).

cnf(u1900,axiom,
    ( ~ subset_sets(a,f14(relative_complement_sets(a,cx),cx,ct,X0))
    | element_of_set(X0,boundary(a,cx,ct))
    | hausdorff(sF1,X1)
    | ~ element_of_set(X0,sF1)
    | element_of_set(f19(sF1,X1),f14(relative_complement_sets(a,cx),cx,ct,X0))
    | ~ topological_space(sF1,X1) ) ).

cnf(u390,negated_conjecture,
    ( element_of_set(f20(f13(a,cx,ct,f20(sF0,X0)),X1),sF0)
    | ~ topological_space(sF0,X0)
    | hausdorff(sF0,X0)
    | ~ topological_space(f13(a,cx,ct,f20(sF0,X0)),X1)
    | hausdorff(f13(a,cx,ct,f20(sF0,X0)),X1) ) ).

cnf(u761,axiom,
    ( element_of_set(f11(X0,f13(X1,X2,X3,f19(interior(X1,X2,X3),X4))),interior(X1,X2,X3))
    | ~ topological_space(interior(X1,X2,X3),X4)
    | hausdorff(interior(X1,X2,X3),X4)
    | element_of_collection(f13(X1,X2,X3,f19(interior(X1,X2,X3),X4)),top_of_basis(X0)) ) ).

cnf(u811,negated_conjecture,
    ( ~ subset_sets(a,f14(X0,cx,ct,X1))
    | ~ subset_sets(f14(X0,cx,ct,X1),sF1)
    | ~ element_of_collection(f14(X0,cx,ct,X1),X2)
    | element_of_collection(sF1,top_of_basis(X2))
    | ~ subset_sets(X0,a)
    | ~ subset_sets(X0,cx)
    | element_of_set(X1,a) ) ).

cnf(u10839,negated_conjecture,
    ( element_of_set(f19(interior(X0,X1,X2),X3),interior(a,a,X4))
    | hausdorff(interior(X0,X1,X2),X3) ) ).

cnf(u11497,negated_conjecture,
    ( limit_point(X0,X2,X3,X4)
    | element_of_set(f11(X5,interior(a,a,X1)),interior(a,a,X1))
    | element_of_set(X0,union_of_members(top_of_basis(X5))) ) ).

cnf(u1723,axiom,
    ( element_of_set(f19(f13(X4,X5,X6,f20(closure(X0,X1,X2),X3)),X7),interior(X4,X5,X6))
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ closed(interior(X4,X5,X6),X1,X2)
    | ~ subset_sets(X0,interior(X4,X5,X6))
    | ~ topological_space(closure(X0,X1,X2),X3)
    | ~ topological_space(f13(X4,X5,X6,f20(closure(X0,X1,X2),X3)),X7)
    | hausdorff(f13(X4,X5,X6,f20(closure(X0,X1,X2),X3)),X7) ) ).

cnf(u221,axiom,
    ( element_of_collection(f16(X2,X0,X1,X3),X3)
    | limit_point(X2,X0,X1,X3)
    | ~ topological_space(X1,X3)
    | ~ subset_sets(X0,X1) ) ).

cnf(u1483,axiom,
    ( element_of_set(f19(boundary(X0,X1,X2),X3),X4)
    | ~ topological_space(boundary(X0,X1,X2),X3)
    | ~ subset_sets(X0,X4)
    | ~ closed(X4,X1,X2)
    | hausdorff(boundary(X0,X1,X2),X3) ) ).

cnf(intersection_of_members_6,axiom,
    ( ~ element_of_set(X0,f2(X1,X0))
    | element_of_set(X0,intersection_of_members(X1)) ) ).

cnf(u11916,axiom,
    ~ neighborhood(X4,X0,X2,X3) ).

cnf(u8032,axiom,
    ( subset_sets(f13(a,cx,ct,f11(X1,sF0)),a)
    | element_of_set(X0,f10(X1,sF0,X0))
    | ~ element_of_set(X0,sF0) ) ).

cnf(u1127,axiom,
    ( ~ subset_sets(intersection_of_members(subspace_topology(X0,X1,X4)),X2)
    | element_of_collection(X2,top_of_basis(X3))
    | ~ element_of_collection(intersection_of_members(subspace_topology(X0,X1,X4)),X3)
    | topological_space(X0,X1) ) ).

cnf(u15600,axiom,
    ( equal_sets(union_of_members(f23(X1,X2,X0)),X1)
    | ~ compact_space(X1,X2)
    | ~ open_covering(X0,X1,X2) ) ).

cnf(u349,axiom,
    ( ~ topological_space(boundary(X0,X1,X2),X3)
    | basis(boundary(X0,X1,X2),X3)
    | topological_space(X1,X2) ) ).

cnf(u16612,axiom,
    ( ~ equal_sets(f22(X0,X1),empty_set)
    | connected_space(X0,X1) ) ).

cnf(u10463,axiom,
    ( ~ element_of_set(X5,f13(X1,X2,X3,f11(X6,interior(X1,X2,X3))))
    | ~ element_of_set(X0,interior(X1,X2,X3))
    | element_of_set(X0,f10(X6,interior(X1,X2,X3),X0))
    | element_of_set(X5,interior(X4,X2,X3)) ) ).

cnf(u9038,negated_conjecture,
    ( element_of_set(f11(X0,closure(X1,X2,X3)),sF0)
    | element_of_collection(closure(X1,X2,X3),top_of_basis(X0))
    | ~ closed(a,X2,X3)
    | ~ subset_sets(X1,a) ) ).

cnf(u280,axiom,
    ( eq_p(f19(intersection_of_sets(f16(X0,X1,X2,X3),X1),X4),X0)
    | hausdorff(intersection_of_sets(f16(X0,X1,X2,X3),X1),X4)
    | ~ topological_space(X2,X3)
    | ~ subset_sets(X1,X2)
    | limit_point(X0,X1,X2,X3)
    | ~ topological_space(intersection_of_sets(f16(X0,X1,X2,X3),X1),X4) ) ).

cnf(u1046,axiom,
    ( ~ topological_space(closure(X2,X0,X1),X3)
    | ~ subset_sets(X2,sF1)
    | hausdorff(closure(X2,X0,X1),X3)
    | ~ closed(sF1,X0,X1)
    | ~ subset_sets(a,X4)
    | ~ closed(X4,cx,ct)
    | element_of_set(f20(closure(X2,X0,X1),X3),X4) ) ).

cnf(u4038,axiom,
    ( element_of_set(f11(X7,f13(X4,X5,X6,f11(X3,closure(X0,X1,X2)))),interior(X4,X5,X6))
    | ~ subset_sets(X0,interior(X4,X5,X6))
    | ~ closed(interior(X4,X5,X6),X1,X2)
    | element_of_collection(closure(X0,X1,X2),top_of_basis(X3))
    | element_of_collection(f13(X4,X5,X6,f11(X3,closure(X0,X1,X2))),top_of_basis(X7)) ) ).

cnf(u7033,axiom,
    ( element_of_set(f11(X0,closure(X1,X2,X3)),f13(X4,X5,X6,f11(X0,closure(X1,X2,X3))))
    | element_of_set(X7,f10(X0,closure(X1,X2,X3),X7))
    | ~ closed(interior(X4,X5,X6),X2,X3)
    | ~ subset_sets(X1,interior(X4,X5,X6))
    | ~ element_of_set(X7,closure(X1,X2,X3)) ) ).

cnf(u119,axiom,
    closure(a,cx,ct) = sF1 ).

cnf(u750,axiom,
    ( element_of_set(f11(X0,relative_complement_sets(X1,X2)),union_of_members(X3))
    | element_of_collection(relative_complement_sets(X1,X2),top_of_basis(X0))
    | ~ closed(X1,X2,X3) ) ).

cnf(u3975,axiom,
    ( ~ closed(X1,X4,X5)
    | element_of_set(f11(X2,closure(X3,X4,X5)),union_of_members(top_of_basis(X0)))
    | element_of_collection(closure(X3,X4,X5),top_of_basis(X2))
    | element_of_set(f11(X0,X1),X1)
    | ~ subset_sets(X3,X1) ) ).

cnf(u7250,axiom,
    ( open(f17(X1,X3,X0,X2),X1,X3)
    | ~ element_of_set(X2,X1)
    | eq_p(X0,X2)
    | ~ hausdorff(X1,X3)
    | ~ element_of_set(X0,X1) ) ).

cnf(u7659,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X3,X4,X2),f13(a,cx,X1,X0)),f13(a,cx,X1,X0))
    | ~ element_of_set(X0,a)
    | ~ topological_space(cx,X1)
    | subset_sets(X2,X3)
    | element_of_set(f11(X1,a),a) ) ).

cnf(u16609,axiom,
    ( separation(f21(X0,X2),f22(X0,X2),X0,X1)
    | connected_space(X0,X2) ) ).

cnf(u1703,axiom,
    ( ~ subset_sets(f13(X0,X1,X2,f7(sF1,X3)),X4)
    | ~ closed(interior(X0,X1,X2),cx,ct)
    | basis(sF1,X3)
    | ~ topological_space(sF1,X3)
    | ~ subset_sets(X4,X1)
    | ~ element_of_set(X5,f13(X0,X1,X2,f7(sF1,X3)))
    | ~ subset_sets(a,interior(X0,X1,X2))
    | element_of_set(X5,interior(X4,X1,X2)) ) ).

cnf(u10496,axiom,
    ( ~ element_of_set(X3,X0)
    | element_of_set(X3,interior(X4,X2,X1)) ) ).

cnf(u3997,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X1,X2,X3),sF1),union_of_members(top_of_basis(X0)))
    | element_of_set(f11(X0,sF1),sF1)
    | subset_sets(X3,X1) ) ).

cnf(u9872,axiom,
    ( element_of_collection(f12(X2,X3,X4,f13(X0,X1,subspace_topology(X2,X3,X4),f7(interior(X0,X1,subspace_topology(X2,X3,X4)),X5))),X3)
    | ~ topological_space(interior(X0,X1,subspace_topology(X2,X3,X4)),X5)
    | basis(interior(X0,X1,subspace_topology(X2,X3,X4)),X5) ) ).

cnf(compact_space_100,axiom,
    ( ~ compact_space(X0,X1)
    | topological_space(X0,X1) ) ).

cnf(u1765,axiom,
    ( ~ element_of_set(X0,f13(X1,X2,top_of_basis(subspace_topology(X3,X4,X5)),f11(X6,closure(X7,X8,X9))))
    | subset_sets(X5,X3)
    | ~ subset_sets(X7,interior(X1,X2,top_of_basis(subspace_topology(X3,X4,X5))))
    | element_of_collection(closure(X7,X8,X9),top_of_basis(X6))
    | ~ closed(interior(X1,X2,top_of_basis(subspace_topology(X3,X4,X5))),X8,X9) ) ).

cnf(u7222,axiom,
    ( ~ closed(f13(boundary(X0,X1,X2),X3,X4,f19(interior(boundary(X0,X1,X2),X3,X4),X5)),X1,X2)
    | ~ subset_sets(X0,f13(boundary(X0,X1,X2),X3,X4,f19(interior(boundary(X0,X1,X2),X3,X4),X5)))
    | ~ element_of_collection(f13(boundary(X0,X1,X2),X3,X4,f19(interior(boundary(X0,X1,X2),X3,X4),X5)),X6)
    | element_of_collection(boundary(X0,X1,X2),top_of_basis(X6))
    | hausdorff(interior(boundary(X0,X1,X2),X3,X4),X5)
    | ~ topological_space(interior(boundary(X0,X1,X2),X3,X4),X5) ) ).

cnf(u9030,negated_conjecture,
    ( element_of_set(f11(X0,a),sF0)
    | element_of_set(X1,union_of_members(X0))
    | ~ topological_space(cx,X0)
    | ~ element_of_set(X1,a) ) ).

cnf(u6585,negated_conjecture,
    ( element_of_set(f7(f13(a,cx,ct,f20(closure(X0,X1,X2),X3)),X4),interior(a,sF0,ct))
    | ~ topological_space(closure(X0,X1,X2),X3)
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ subset_sets(X0,sF0)
    | ~ closed(sF0,X1,X2)
    | basis(f13(a,cx,ct,f20(closure(X0,X1,X2),X3)),X4)
    | ~ topological_space(f13(a,cx,ct,f20(closure(X0,X1,X2),X3)),X4) ) ).

cnf(u793,axiom,
    ( closed(f14(relative_complement_sets(X4,X5),X5,X6,f11(X0,closure(X1,X2,X3))),X5,X6)
    | ~ closed(closure(X4,X5,X6),X2,X3)
    | ~ subset_sets(X1,closure(X4,X5,X6))
    | element_of_set(f11(X0,closure(X1,X2,X3)),boundary(X4,X5,X6))
    | element_of_collection(closure(X1,X2,X3),top_of_basis(X0))
    | ~ subset_sets(relative_complement_sets(X4,X5),X5) ) ).

cnf(u1225,axiom,
    ( basis(closure(X0,X1,X2),subspace_topology(X3,X4,closure(X0,X1,X2)))
    | ~ connected_set(closure(X0,X1,X2),X3,X4)
    | topological_space(X1,X2) ) ).

cnf(u9630,negated_conjecture,
    ( element_of_collection(f13(a,cx,X2,f11(subspace_topology(X1,X3,X0),interior(a,cx,X2))),X2)
    | element_of_set(f11(X2,a),sF0)
    | ~ topological_space(cx,X2)
    | subset_sets(X0,X1) ) ).

cnf(u386,negated_conjecture,
    ( ~ element_of_set(X1,f13(a,cx,ct,f20(sF0,X0)))
    | element_of_set(X1,sF0)
    | ~ topological_space(sF0,X0)
    | hausdorff(sF0,X0) ) ).

cnf(u1551,axiom,
    ( element_of_set(f20(boundary(X0,X1,X2),X3),X4)
    | ~ topological_space(boundary(X0,X1,X2),X3)
    | ~ subset_sets(X0,X4)
    | ~ closed(X4,X1,X2)
    | hausdorff(boundary(X0,X1,X2),X3) ) ).

cnf(u3627,axiom,
    ( ~ element_of_collection(f13(union_of_members(ct),X0,X1,f11(X5,boundary(X4,X2,X3))),X6)
    | ~ subset_sets(X4,interior(union_of_members(ct),X0,X1))
    | element_of_collection(boundary(X4,X2,X3),top_of_basis(X5))
    | ~ topological_space(sF0,X6)
    | ~ element_of_set(X7,f13(union_of_members(ct),X0,X1,f11(X5,boundary(X4,X2,X3))))
    | ~ closed(interior(union_of_members(ct),X0,X1),X2,X3)
    | element_of_set(X7,interior(union_of_members(ct),sF0,X6)) ) ).

cnf(u1709,negated_conjecture,
    ( ~ subset_sets(f14(f13(X0,X1,X2,f7(sF1,X3)),cx,ct,X4),X1)
    | basis(sF1,X3)
    | ~ topological_space(sF1,X3)
    | ~ closed(interior(X0,X1,X2),cx,ct)
    | ~ element_of_set(X5,f13(X0,X1,X2,f7(sF1,X3)))
    | ~ subset_sets(a,interior(X0,X1,X2))
    | element_of_set(X5,interior(f14(f13(X0,X1,X2,f7(sF1,X3)),cx,ct,X4),X1,X2))
    | element_of_set(X4,f14(f13(X0,X1,X2,f7(sF1,X3)),cx,ct,X6))
    | ~ subset_sets(f13(X0,X1,X2,f7(sF1,X3)),a)
    | element_of_set(X6,a)
    | ~ subset_sets(f13(X0,X1,X2,f7(sF1,X3)),cx) ) ).

cnf(u576,negated_conjecture,
    ( ~ subset_sets(f1(ct,f11(X1,X0)),X0)
    | ~ element_of_collection(f1(ct,f11(X1,X0)),X1)
    | element_of_collection(X0,top_of_basis(X1))
    | ~ element_of_set(f11(X1,X0),cx) ) ).

cnf(u270,axiom,
    ( ~ topological_space(interior(X0,X1,X2),X3)
    | hausdorff(interior(X0,X1,X2),X3)
    | subset_sets(X0,X1) ) ).

cnf(u7339,axiom,
    ( ~ subset_sets(f10(X2,closure(X3,X4,X5),f11(X0,X1)),X1)
    | ~ subset_sets(X3,interior(X6,X7,X8))
    | ~ element_of_set(f11(X0,X1),closure(X3,X4,X5))
    | ~ closed(interior(X6,X7,X8),X4,X5)
    | element_of_collection(X1,top_of_basis(X0))
    | ~ element_of_collection(f10(X2,closure(X3,X4,X5),f11(X0,X1)),X0)
    | element_of_collection(f13(X6,X7,X8,f11(X2,closure(X3,X4,X5))),X8) ) ).

cnf(union_of_members_2,axiom,
    ( ~ element_of_set(X0,union_of_members(X1))
    | element_of_collection(f1(X1,X0),X1) ) ).

cnf(u676,negated_conjecture,
    ( ~ element_of_collection(f13(a,X1,X2,f20(closure(X0,X3,X4),X5)),X6)
    | ~ closed(interior(a,X1,X2),X3,X4)
    | ~ topological_space(closure(X0,X3,X4),X5)
    | hausdorff(closure(X0,X3,X4),X5)
    | ~ topological_space(cx,X6)
    | ~ element_of_set(X7,f13(a,X1,X2,f20(closure(X0,X3,X4),X5)))
    | ~ subset_sets(X0,interior(a,X1,X2))
    | element_of_set(X7,interior(a,cx,X6)) ) ).

cnf(u3711,axiom,
    ( ~ element_of_set(X0,f13(X1,X2,top_of_basis(subspace_topology(X3,X4,X5)),f19(closure(X6,X7,X8),X9)))
    | topological_space(X3,X4)
    | ~ closed(interior(X1,X2,top_of_basis(subspace_topology(X3,X4,X5))),X7,X8)
    | ~ topological_space(closure(X6,X7,X8),X9)
    | hausdorff(closure(X6,X7,X8),X9)
    | ~ subset_sets(X6,interior(X1,X2,top_of_basis(subspace_topology(X3,X4,X5)))) ) ).

cnf(u806,axiom,
    ( ~ closed(f13(closure(X0,X1,X2),X3,X4,f19(interior(closure(X0,X1,X2),X3,X4),X5)),X1,X2)
    | ~ subset_sets(X0,f13(closure(X0,X1,X2),X3,X4,f19(interior(closure(X0,X1,X2),X3,X4),X5)))
    | ~ element_of_collection(f13(closure(X0,X1,X2),X3,X4,f19(interior(closure(X0,X1,X2),X3,X4),X5)),X6)
    | element_of_collection(closure(X0,X1,X2),top_of_basis(X6))
    | hausdorff(interior(closure(X0,X1,X2),X3,X4),X5)
    | ~ topological_space(interior(closure(X0,X1,X2),X3,X4),X5) ) ).

cnf(u9589,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X2,X4,X1),interior(a,cx,X0)),union_of_members(top_of_basis(X3)))
    | element_of_set(f11(X3,interior(a,cx,X0)),interior(a,cx,X0))
    | element_of_set(f11(X0,a),sF0)
    | subset_sets(X1,X2)
    | ~ topological_space(cx,X0) ) ).

cnf(u345,axiom,
    ( ~ topological_space(closure(X0,X1,X2),X3)
    | basis(closure(X0,X1,X2),X3)
    | topological_space(X1,X2) ) ).

cnf(u7146,axiom,
    ( ~ subset_sets(f10(X2,closure(X3,X4,X5),f11(X0,X1)),X1)
    | ~ closed(interior(X6,X7,X8),X4,X5)
    | ~ subset_sets(X3,interior(X6,X7,X8))
    | ~ element_of_set(f11(X0,X1),closure(X3,X4,X5))
    | element_of_collection(X1,top_of_basis(X0))
    | ~ element_of_collection(f10(X2,closure(X3,X4,X5),f11(X0,X1)),X0)
    | open(f13(X6,X7,X8,f11(X2,closure(X3,X4,X5))),X7,X8) ) ).

cnf(u10029,axiom,
    ( ~ topological_space(boundary(X3,X4,X5),X6)
    | element_of_set(f11(subspace_topology(X0,X1,X2),closure(X3,X4,X5)),closure(X3,X4,X5))
    | hausdorff(boundary(X3,X4,X5),X6)
    | topological_space(X0,X1) ) ).

cnf(u292,axiom,
    ( ~ element_of_set(f19(closure(relative_complement_sets(X0,X1),X1,X2),X3),closure(X0,X1,X2))
    | hausdorff(closure(relative_complement_sets(X0,X1),X1,X2),X3)
    | ~ topological_space(closure(relative_complement_sets(X0,X1),X1,X2),X3)
    | element_of_set(f19(closure(relative_complement_sets(X0,X1),X1,X2),X3),boundary(X0,X1,X2)) ) ).

cnf(u1716,axiom,
    ( subset_collections(f5(X0,f24(X0,X1)),f24(X0,X1))
    | ~ element_of_collection(empty_set,f24(X0,X1))
    | ~ element_of_collection(X0,f24(X0,X1))
    | element_of_collection(f3(X0,f24(X0,X1)),f24(X0,X1))
    | topological_space(X0,f24(X0,X1))
    | ~ topological_space(X0,X1)
    | compact_space(X0,X1) ) ).

cnf(u8198,axiom,
    ( ~ element_of_set(X6,f13(X1,X2,X3,f11(X4,interior(X1,X2,X3))))
    | element_of_set(X0,f10(X4,interior(X1,X2,X3),X0))
    | element_of_set(f11(X5,f13(X1,X2,X3,f11(X4,interior(X1,X2,X3)))),interior(X1,X2,X3))
    | element_of_set(X6,f10(X5,f13(X1,X2,X3,f11(X4,interior(X1,X2,X3))),X6))
    | ~ element_of_set(X0,interior(X1,X2,X3)) ) ).

cnf(u7036,axiom,
    ( subset_sets(f13(X4,X5,X6,f11(X0,closure(X1,X2,X3))),X4)
    | element_of_set(X7,f10(X0,closure(X1,X2,X3),X7))
    | ~ closed(interior(X4,X5,X6),X2,X3)
    | ~ subset_sets(X1,interior(X4,X5,X6))
    | ~ element_of_set(X7,closure(X1,X2,X3)) ) ).

cnf(u9622,negated_conjecture,
    ( ~ closed(f13(a,cx,X0,f11(subspace_topology(X2,X7,X1),interior(a,cx,X0))),X4,X5)
    | ~ topological_space(cx,X0)
    | subset_sets(X1,X2)
    | element_of_set(f19(closure(X3,X4,X5),X6),interior(a,cx,X0))
    | hausdorff(closure(X3,X4,X5),X6)
    | ~ subset_sets(X3,f13(a,cx,X0,f11(subspace_topology(X2,X7,X1),interior(a,cx,X0))))
    | element_of_set(f11(X0,a),sF0)
    | ~ topological_space(closure(X3,X4,X5),X6) ) ).

cnf(u1563,axiom,
    ( element_of_set(f7(f16(X3,X2,X0,X1),X4),union_of_members(X1))
    | ~ subset_sets(X2,X0)
    | limit_point(X3,X2,X0,X1)
    | ~ topological_space(X0,X1)
    | basis(f16(X3,X2,X0,X1),X4)
    | ~ topological_space(f16(X3,X2,X0,X1),X4) ) ).

cnf(u3824,axiom,
    ( ~ topological_space(f1(X1,X3),X4)
    | ~ subset_sets(X2,X0)
    | limit_point(X3,X2,X0,X1)
    | element_of_set(f7(f1(X1,X3),X4),union_of_members(X1))
    | basis(f1(X1,X3),X4)
    | ~ topological_space(X0,X1) ) ).

cnf(u8029,axiom,
    ( element_of_set(f11(X5,f10(X1,interior(X2,X3,X4),X0)),f10(X1,interior(X2,X3,X4),X0))
    | subset_sets(f13(X2,X3,X4,f11(X1,interior(X2,X3,X4))),X2)
    | ~ element_of_set(X0,interior(X2,X3,X4))
    | element_of_set(X0,union_of_members(top_of_basis(X5))) ) ).

cnf(u9453,negated_conjecture,
    ( element_of_set(f11(X5,f10(X1,closure(X2,X3,X4),X0)),f10(X1,closure(X2,X3,X4),X0))
    | ~ element_of_set(X0,closure(X2,X3,X4))
    | ~ closed(a,X3,X4)
    | ~ subset_sets(X2,a)
    | element_of_set(f11(X1,closure(X2,X3,X4)),sF0)
    | element_of_set(X0,union_of_members(top_of_basis(X5))) ) ).

cnf(u7396,axiom,
    ( element_of_set(X13,interior(f14(f13(X0,X1,X2,f20(closure(X3,X4,X5),X6)),X7,X8,f11(X12,f14(closure(f13(X0,X1,X2,f20(closure(X3,X4,X5),X6)),X7,X8),X9,X10,X11))),X1,X2))
    | ~ element_of_collection(closure(f13(X0,X1,X2,f20(closure(X3,X4,X5),X6)),X7,X8),X12)
    | ~ subset_sets(f13(X0,X1,X2,f20(closure(X3,X4,X5),X6)),X7)
    | ~ topological_space(X7,X8)
    | element_of_set(X11,closure(closure(f13(X0,X1,X2,f20(closure(X3,X4,X5),X6)),X7,X8),X9,X10))
    | ~ subset_sets(closure(f13(X0,X1,X2,f20(closure(X3,X4,X5),X6)),X7,X8),X9)
    | ~ topological_space(X9,X10)
    | ~ closed(interior(X0,X1,X2),X4,X5)
    | ~ topological_space(closure(X3,X4,X5),X6)
    | hausdorff(closure(X3,X4,X5),X6)
    | ~ subset_sets(f14(f13(X0,X1,X2,f20(closure(X3,X4,X5),X6)),X7,X8,f11(X12,f14(closure(f13(X0,X1,X2,f20(closure(X3,X4,X5),X6)),X7,X8),X9,X10,X11))),X1)
    | ~ element_of_set(X13,f13(X0,X1,X2,f20(closure(X3,X4,X5),X6)))
    | ~ subset_sets(X3,interior(X0,X1,X2))
    | element_of_collection(f14(closure(f13(X0,X1,X2,f20(closure(X3,X4,X5),X6)),X7,X8),X9,X10,X11),top_of_basis(X12)) ) ).

cnf(u6932,axiom,
    ( element_of_set(f11(X1,f13(a,cx,ct,f20(sF0,X0))),union_of_members(ct))
    | ~ topological_space(sF0,X0)
    | hausdorff(sF0,X0)
    | element_of_collection(f13(a,cx,ct,f20(sF0,X0)),top_of_basis(X1)) ) ).

cnf(u1246,negated_conjecture,
    ( closed(f14(f13(f14(X0,cx,ct,X1),X2,X3,f11(X4,interior(f14(X0,cx,ct,X1),X2,X3))),cx,ct,X5),cx,ct)
    | element_of_set(X1,a)
    | ~ subset_sets(f13(f14(X0,cx,ct,X1),X2,X3,f11(X4,interior(f14(X0,cx,ct,X1),X2,X3))),cx)
    | ~ subset_sets(X0,a)
    | ~ subset_sets(X0,cx)
    | element_of_set(X5,f14(X0,cx,ct,X1))
    | element_of_collection(interior(f14(X0,cx,ct,X1),X2,X3),top_of_basis(X4)) ) ).

cnf(u4052,negated_conjecture,
    ( ~ closed(f10(X0,a,X1),X3,X4)
    | ~ element_of_collection(a,top_of_basis(X0))
    | ~ element_of_set(X1,a)
    | element_of_set(f7(closure(X2,X3,X4),X5),interior(a,cx,X0))
    | ~ topological_space(closure(X2,X3,X4),X5)
    | ~ subset_sets(X2,f10(X0,a,X1))
    | ~ topological_space(cx,X0)
    | basis(closure(X2,X3,X4),X5) ) ).

cnf(u1027,negated_conjecture,
    ( element_of_set(X8,interior(f14(f13(X0,X1,X2,f19(closure(X5,X3,X4),X6)),cx,ct,X7),X1,X2))
    | ~ topological_space(closure(X5,X3,X4),X6)
    | hausdorff(closure(X5,X3,X4),X6)
    | ~ subset_sets(f14(f13(X0,X1,X2,f19(closure(X5,X3,X4),X6)),cx,ct,X7),X1)
    | ~ element_of_set(X8,f13(X0,X1,X2,f19(closure(X5,X3,X4),X6)))
    | ~ subset_sets(X5,interior(X0,X1,X2))
    | ~ closed(interior(X0,X1,X2),X3,X4)
    | ~ subset_sets(f13(X0,X1,X2,f19(closure(X5,X3,X4),X6)),a)
    | ~ subset_sets(f13(X0,X1,X2,f19(closure(X5,X3,X4),X6)),cx)
    | element_of_set(X7,a) ) ).

cnf(u677,axiom,
    ( ~ closed(interior(X0,X1,X2),cx,ct)
    | ~ subset_sets(a,interior(X0,X1,X2))
    | subset_sets(f13(X0,X1,X2,f20(sF1,X3)),X0)
    | ~ topological_space(sF1,X3)
    | hausdorff(sF1,X3) ) ).

cnf(u1386,axiom,
    ( ~ compact_space(X0,X1)
    | ~ topological_space(X2,X3)
    | element_of_collection(union_of_members(f23(X0,X1,X3)),X3)
    | ~ subset_collections(X3,X1)
    | ~ basis(X0,X3) ) ).

cnf(open_covering_96,axiom,
    ( ~ open_covering(X0,X1,X2)
    | topological_space(X1,X2) ) ).

cnf(u44755,axiom,
    ( ~ subset_collections(f23(X0,X2,X3),f24(X1,f23(X0,X2,X3)))
    | compact_space(X1,f23(X0,X2,X3))
    | ~ open_covering(X3,X0,X2)
    | ~ compact_space(X0,f24(X1,f23(X0,X2,X3)))
    | ~ compact_space(X0,X2) ) ).

cnf(u244,negated_conjecture,
    ( ~ element_of_set(X0,intersection_of_sets(X1,X2))
    | element_of_set(X0,union_of_members(ct))
    | ~ element_of_collection(X2,ct)
    | ~ element_of_collection(X1,ct) ) ).

cnf(u805,axiom,
    ( ~ element_of_set(f11(X0,closure(X1,X2,X3)),closure(X4,X5,X6))
    | ~ closed(closure(relative_complement_sets(X4,X5),X5,X6),X2,X3)
    | ~ subset_sets(X1,closure(relative_complement_sets(X4,X5),X5,X6))
    | element_of_collection(closure(X1,X2,X3),top_of_basis(X0))
    | element_of_set(f11(X0,closure(X1,X2,X3)),boundary(X4,X5,X6)) ) ).

cnf(u447,axiom,
    ( ~ subset_sets(f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),X4)
    | ~ topological_space(interior(X0,X1,X2),X3)
    | ~ subset_sets(X4,X1)
    | ~ element_of_set(X5,f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)))
    | hausdorff(interior(X0,X1,X2),X3)
    | element_of_set(X5,interior(X4,X1,X2)) ) ).

cnf(u7381,negated_conjecture,
    ( element_of_set(X7,interior(f14(f13(a,cx,ct,f19(sF0,X0)),X1,X2,f11(X6,f14(closure(f13(a,cx,ct,f19(sF0,X0)),X1,X2),X3,X4,X5))),cx,ct))
    | ~ element_of_collection(closure(f13(a,cx,ct,f19(sF0,X0)),X1,X2),X6)
    | ~ subset_sets(f13(a,cx,ct,f19(sF0,X0)),X1)
    | ~ topological_space(X1,X2)
    | element_of_set(X5,closure(closure(f13(a,cx,ct,f19(sF0,X0)),X1,X2),X3,X4))
    | ~ subset_sets(closure(f13(a,cx,ct,f19(sF0,X0)),X1,X2),X3)
    | ~ topological_space(X3,X4)
    | ~ topological_space(sF0,X0)
    | ~ subset_sets(f14(f13(a,cx,ct,f19(sF0,X0)),X1,X2,f11(X6,f14(closure(f13(a,cx,ct,f19(sF0,X0)),X1,X2),X3,X4,X5))),cx)
    | ~ element_of_set(X7,f13(a,cx,ct,f19(sF0,X0)))
    | hausdorff(sF0,X0)
    | element_of_collection(f14(closure(f13(a,cx,ct,f19(sF0,X0)),X1,X2),X3,X4,X5),top_of_basis(X6)) ) ).

cnf(u1717,axiom,
    ( subset_collections(f5(intersection_of_sets(X0,f12(X1,X2,X0,union_of_members(X3))),X3),X3)
    | ~ element_of_collection(empty_set,X3)
    | ~ element_of_collection(intersection_of_sets(X0,f12(X1,X2,X0,union_of_members(X3))),X3)
    | element_of_collection(f3(intersection_of_sets(X0,f12(X1,X2,X0,union_of_members(X3))),X3),X3)
    | topological_space(intersection_of_sets(X0,f12(X1,X2,X0,union_of_members(X3))),X3)
    | ~ element_of_collection(union_of_members(X3),subspace_topology(X1,X2,X0)) ) ).

cnf(u3596,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,f20(sF0,X4)),X2,X3)
    | element_of_collection(boundary(X1,X2,X3),top_of_basis(X0))
    | ~ subset_sets(X1,f13(a,cx,ct,f20(sF0,X4)))
    | element_of_set(f11(X0,boundary(X1,X2,X3)),sF0)
    | ~ topological_space(sF0,X4)
    | hausdorff(sF0,X4) ) ).

cnf(u3994,axiom,
    ( element_of_set(f11(X1,boundary(a,cx,ct)),union_of_members(top_of_basis(X0)))
    | element_of_set(f11(X0,sF1),sF1)
    | element_of_collection(boundary(a,cx,ct),top_of_basis(X1)) ) ).

cnf(u10568,negated_conjecture,
    hausdorff(a,X0) ).

cnf(u1680,negated_conjecture,
    ( ~ element_of_set(X4,f13(a,cx,ct,f7(closure(X0,X1,X2),X3)))
    | ~ closed(sF0,X1,X2)
    | ~ subset_sets(X0,sF0)
    | basis(closure(X0,X1,X2),X3)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | element_of_set(X4,sF0) ) ).

cnf(u7280,axiom,
    ( ~ closed(f13(a,cx,ct,f7(sF0,X0)),X2,X3)
    | basis(sF0,X0)
    | element_of_set(f7(closure(X1,X2,X3),X4),union_of_members(ct))
    | ~ topological_space(closure(X1,X2,X3),X4)
    | ~ subset_sets(X1,f13(a,cx,ct,f7(sF0,X0)))
    | ~ topological_space(sF0,X0)
    | basis(closure(X1,X2,X3),X4) ) ).

cnf(u3967,axiom,
    ( element_of_set(f7(X1,X2),union_of_members(top_of_basis(X0)))
    | element_of_set(f11(X0,X1),X1)
    | basis(X1,X2)
    | ~ topological_space(X1,X2) ) ).

cnf(u3825,axiom,
    ( ~ closed(f1(X1,X3),X5,X6)
    | ~ subset_sets(X2,X0)
    | limit_point(X3,X2,X0,X1)
    | element_of_set(f7(closure(X4,X5,X6),X7),union_of_members(X1))
    | ~ topological_space(closure(X4,X5,X6),X7)
    | ~ subset_sets(X4,f1(X1,X3))
    | ~ topological_space(X0,X1)
    | basis(closure(X4,X5,X6),X7) ) ).

cnf(u7509,axiom,
    ( element_of_set(f11(X0,f13(X1,X2,X3,f19(closure(X4,X5,X6),X7))),interior(X1,X2,X3))
    | element_of_set(X8,f10(X0,f13(X1,X2,X3,f19(closure(X4,X5,X6),X7)),X8))
    | ~ topological_space(closure(X4,X5,X6),X7)
    | hausdorff(closure(X4,X5,X6),X7)
    | ~ closed(interior(X1,X2,X3),X5,X6)
    | ~ subset_sets(X4,interior(X1,X2,X3))
    | ~ element_of_set(X8,f13(X1,X2,X3,f19(closure(X4,X5,X6),X7))) ) ).

cnf(u3610,axiom,
    ( ~ closed(closure(X4,X5,X6),X2,X3)
    | element_of_collection(boundary(X1,X2,X3),top_of_basis(X0))
    | ~ subset_sets(X1,closure(X4,X5,X6))
    | ~ subset_sets(X4,X7)
    | ~ closed(X7,X5,X6)
    | element_of_set(f11(X0,boundary(X1,X2,X3)),X7) ) ).

cnf(u672,axiom,
    ( ~ subset_sets(X7,f13(X1,X2,X3,f20(closure(X0,X4,X5),X6)))
    | ~ closed(interior(X1,X2,X3),X4,X5)
    | ~ topological_space(closure(X0,X4,X5),X6)
    | hausdorff(closure(X0,X4,X5),X6)
    | ~ element_of_collection(X7,X8)
    | ~ topological_space(X1,X8)
    | ~ element_of_set(X9,X7)
    | ~ subset_sets(X0,interior(X1,X2,X3))
    | element_of_set(X9,interior(f13(X1,X2,X3,f20(closure(X0,X4,X5),X6)),X1,X8)) ) ).

cnf(u6567,negated_conjecture,
    ( ~ topological_space(boundary(X2,X0,X1),X3)
    | ~ subset_sets(X2,sF1)
    | ~ closed(sF1,X0,X1)
    | hausdorff(boundary(X2,X0,X1),X3) ) ).

cnf(u3953,negated_conjecture,
    ( element_of_set(f11(X0,f1(top_of_basis(X1),X2)),f1(top_of_basis(X1),X2))
    | element_of_set(X2,union_of_members(top_of_basis(X0)))
    | element_of_set(f11(X1,sF1),sF1)
    | ~ element_of_set(X2,sF1) ) ).

cnf(u357,axiom,
    ( subset_sets(f13(a,cx,ct,f19(sF0,X0)),a)
    | hausdorff(sF0,X0)
    | ~ topological_space(sF0,X0) ) ).

cnf(u3669,axiom,
    ( ~ closed(f13(X4,X5,X6,f11(X3,boundary(X0,X1,X2))),X9,X10)
    | ~ subset_sets(X0,interior(X4,X5,X6))
    | ~ closed(interior(X4,X5,X6),X1,X2)
    | element_of_set(f11(X7,boundary(X8,X9,X10)),interior(X4,X5,X6))
    | element_of_collection(boundary(X8,X9,X10),top_of_basis(X7))
    | element_of_collection(boundary(X0,X1,X2),top_of_basis(X3))
    | ~ subset_sets(X8,f13(X4,X5,X6,f11(X3,boundary(X0,X1,X2)))) ) ).

cnf(u1580,axiom,
    ( ~ element_of_set(X4,f1(X0,X1))
    | ~ topological_space(X3,X0)
    | ~ subset_sets(X2,X3)
    | limit_point(X1,X2,X3,X0)
    | element_of_set(X4,union_of_members(X0)) ) ).

cnf(u4159,axiom,
    ( element_of_set(f11(subspace_topology(X1,X2,X0),f13(a,cx,ct,f19(sF0,X3))),f13(a,cx,ct,f19(sF0,X3)))
    | subset_sets(X0,X1)
    | hausdorff(sF0,X3)
    | ~ topological_space(sF0,X3) ) ).

cnf(u6676,negated_conjecture,
    ( open(f13(a,sF0,ct,f11(X3,closure(X0,X1,X2))),sF0,ct)
    | ~ closed(sF0,X1,X2)
    | ~ subset_sets(X0,sF0)
    | element_of_collection(closure(X0,X1,X2),top_of_basis(X3)) ) ).

cnf(u9586,negated_conjecture,
    ( subset_sets(f13(a,cx,X0,f11(subspace_topology(X2,X3,X1),interior(a,cx,X0))),a)
    | subset_sets(X1,X2)
    | element_of_set(f11(X0,a),sF0)
    | ~ topological_space(cx,X0) ) ).

cnf(u8084,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,X4),X1,X2)
    | ~ element_of_set(X4,a)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | ~ subset_sets(X0,f13(a,cx,ct,X4))
    | element_of_set(f7(closure(X0,X1,X2),X3),sF0)
    | basis(closure(X0,X1,X2),X3) ) ).

cnf(u11065,negated_conjecture,
    ( element_of_set(f20(interior(X0,X1,X2),X3),interior(a,sF0,X4))
    | hausdorff(interior(X0,X1,X2),X3) ) ).

cnf(u3571,axiom,
    ( ~ closed(union_of_members(X4),X2,X3)
    | element_of_collection(boundary(X1,X2,X3),top_of_basis(X0))
    | ~ subset_sets(X1,union_of_members(X4))
    | element_of_set(f11(X0,boundary(X1,X2,X3)),f1(X4,f11(X0,boundary(X1,X2,X3)))) ) ).

cnf(u842,negated_conjecture,
    ( element_of_set(f11(X0,sF1),f14(a,cx,ct,X1))
    | element_of_collection(sF1,top_of_basis(X0))
    | element_of_set(X1,sF1) ) ).

cnf(u16605,axiom,
    ( separation(X3,X4,intersection_of_sets(X0,f12(X1,X2,X0,union_of_sets(X3,X4))),X5)
    | equal_sets(X4,empty_set)
    | equal_sets(X3,empty_set)
    | ~ disjoint_s(X3,X4) ) ).

cnf(u6961,axiom,
    ( ~ element_of_set(X6,f13(X0,X1,top_of_basis(subspace_topology(X2,X3,X4)),f11(X5,interior(X0,X1,top_of_basis(subspace_topology(X2,X3,X4))))))
    | element_of_collection(interior(X0,X1,top_of_basis(subspace_topology(X2,X3,X4))),top_of_basis(X5))
    | subset_sets(X4,X2) ) ).

cnf(u9908,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X0,X1,X2),f10(X3,a,X4)),f10(X3,a,X4))
    | topological_space(X0,X1)
    | element_of_set(f11(X3,a),sF0)
    | ~ element_of_set(X4,a) ) ).

cnf(u3499,axiom,
    ( ~ closed(f13(X1,X2,X3,f19(sF1,X0)),X5,X6)
    | hausdorff(sF1,X0)
    | ~ closed(interior(X1,X2,X3),cx,ct)
    | ~ subset_sets(a,interior(X1,X2,X3))
    | element_of_set(f7(closure(X4,X5,X6),X7),interior(X1,X2,X3))
    | ~ topological_space(closure(X4,X5,X6),X7)
    | ~ subset_sets(X4,f13(X1,X2,X3,f19(sF1,X0)))
    | ~ topological_space(sF1,X0)
    | basis(closure(X4,X5,X6),X7) ) ).

cnf(u673,axiom,
    ( ~ element_of_set(f7(X1,X2),f13(intersection_of_sets(f8(X1,X2),f9(X1,X2)),X3,X4,f20(closure(X0,X5,X6),X7)))
    | ~ closed(interior(intersection_of_sets(f8(X1,X2),f9(X1,X2)),X3,X4),X5,X6)
    | ~ topological_space(closure(X0,X5,X6),X7)
    | hausdorff(closure(X0,X5,X6),X7)
    | ~ equal_sets(union_of_members(X2),X1)
    | ~ subset_sets(X0,interior(intersection_of_sets(f8(X1,X2),f9(X1,X2)),X3,X4))
    | ~ element_of_collection(f13(intersection_of_sets(f8(X1,X2),f9(X1,X2)),X3,X4,f20(closure(X0,X5,X6),X7)),X2)
    | basis(X1,X2) ) ).

cnf(u6955,axiom,
    ( element_of_set(X3,union_of_members(subspace_topology(X1,X2,X0)))
    | ~ element_of_set(X3,empty_set)
    | ~ connected_set(X0,X1,X2) ) ).

cnf(u7071,negated_conjecture,
    ( ~ closed(closure(X4,X5,X6),X2,X3)
    | ~ element_of_set(X7,closure(X1,X2,X3))
    | element_of_set(X7,f10(X0,closure(X1,X2,X3),X7))
    | ~ subset_sets(X1,closure(X4,X5,X6))
    | ~ subset_sets(X4,sF1)
    | ~ closed(sF1,X5,X6) ) ).

cnf(u9467,negated_conjecture,
    ( ~ closed(f13(a,cx,X1,X0),X3,X4)
    | ~ topological_space(cx,X1)
    | element_of_set(f11(X1,a),sF0)
    | element_of_set(f7(closure(X2,X3,X4),X5),union_of_members(X1))
    | ~ topological_space(closure(X2,X3,X4),X5)
    | ~ subset_sets(X2,f13(a,cx,X1,X0))
    | ~ element_of_set(X0,a)
    | basis(closure(X2,X3,X4),X5) ) ).

cnf(compact_set_108,axiom,
    ( compact_space(X0,subspace_topology(X1,X2,X0))
    | ~ compact_set(X0,X1,X2) ) ).

cnf(u10489,axiom,
    ( ~ element_of_set(X1,X2)
    | element_of_set(X1,interior(union_of_members(ct),sF0,X0)) ) ).

cnf(u7448,axiom,
    ( ~ closed(f8(X0,X1),X4,X5)
    | basis(X0,X1)
    | element_of_set(f11(X2,closure(X3,X4,X5)),union_of_members(X1))
    | element_of_collection(closure(X3,X4,X5),top_of_basis(X2))
    | ~ topological_space(X0,X1)
    | ~ subset_sets(X3,f8(X0,X1)) ) ).

cnf(u6999,axiom,
    ( element_of_set(X0,f10(X2,f12(X1,top_of_basis(X2),X3,f16(X4,X5,X6,subspace_topology(X1,top_of_basis(X2),X3))),X0))
    | ~ element_of_set(X0,f12(X1,top_of_basis(X2),X3,f16(X4,X5,X6,subspace_topology(X1,top_of_basis(X2),X3))))
    | limit_point(X4,X5,X6,subspace_topology(X1,top_of_basis(X2),X3))
    | ~ topological_space(X6,subspace_topology(X1,top_of_basis(X2),X3))
    | ~ subset_sets(X5,X6) ) ).

cnf(u555,axiom,
    ( element_of_set(f20(sF0,X0),f13(a,cx,ct,f20(sF0,X0)))
    | hausdorff(sF0,X0)
    | ~ topological_space(sF0,X0) ) ).

cnf(u9759,negated_conjecture,
    ( open(f13(a,cx,X1,f19(f13(a,cx,X1,X0),X2)),cx,X1)
    | ~ topological_space(cx,X1)
    | element_of_set(f11(X1,a),a)
    | ~ topological_space(f13(a,cx,X1,X0),X2)
    | hausdorff(f13(a,cx,X1,X0),X2)
    | ~ element_of_set(X0,a) ) ).

cnf(u9950,axiom,
    ( element_of_set(f11(subspace_topology(X0,X1,X2),f13(X3,X4,X5,f11(X6,interior(X3,X4,X5)))),f13(X3,X4,X5,f11(X6,interior(X3,X4,X5))))
    | topological_space(X0,X1)
    | element_of_collection(interior(X3,X4,X5),top_of_basis(X6)) ) ).

cnf(u1233,axiom,
    ( element_of_set(X3,union_of_members(subspace_topology(X1,X2,X0)))
    | ~ element_of_set(X3,X0)
    | ~ connected_set(X0,X1,X2) ) ).

cnf(u1559,axiom,
    ( ~ closed(interior(X1,X2,subspace_topology(X3,X4,X5)),X6,X7)
    | element_of_collection(closure(X0,X6,X7),top_of_basis(X8))
    | ~ subset_sets(X0,interior(X1,X2,subspace_topology(X3,X4,X5)))
    | subset_sets(X5,X3) ) ).

cnf(u10617,axiom,
    ( element_of_set(f19(closure(X0,X1,X2),X3),interior(cx,cx,X4))
    | ~ closed(a,cx,X4)
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ closed(relative_complement_sets(a,cx),X1,X2) ) ).

cnf(u1148,axiom,
    ( ~ closed(interior(X1,X2,X3),cx,ct)
    | element_of_set(f11(X0,sF1),f13(X1,X2,X3,f11(X0,sF1)))
    | ~ subset_sets(a,interior(X1,X2,X3))
    | element_of_collection(sF1,top_of_basis(X0)) ) ).

cnf(u1895,axiom,
    ( ~ subset_sets(a,f14(relative_complement_sets(a,cx),cx,ct,X0))
    | element_of_set(X0,boundary(a,cx,ct))
    | ~ element_of_set(X0,sF1)
    | ~ element_of_set(X1,sF1)
    | element_of_set(X1,f14(relative_complement_sets(a,cx),cx,ct,X0)) ) ).

cnf(connected_set_93,axiom,
    ( ~ connected_set(X0,X1,X2)
    | subset_sets(X0,X1) ) ).

cnf(u4075,axiom,
    ( element_of_set(f11(X1,f13(a,cx,ct,f19(sF0,X0))),union_of_members(ct))
    | ~ topological_space(sF0,X0)
    | hausdorff(sF0,X0)
    | element_of_collection(f13(a,cx,ct,f19(sF0,X0)),top_of_basis(X1)) ) ).

cnf(u1355,negated_conjecture,
    ( ~ element_of_set(X3,union_of_members(f5(intersection_of_sets(X0,f12(X1,X2,X0,union_of_members(ct))),ct)))
    | ~ element_of_collection(union_of_members(ct),subspace_topology(X1,X2,X0))
    | ~ element_of_collection(intersection_of_sets(X0,f12(X1,X2,X0,union_of_members(ct))),ct)
    | topological_space(intersection_of_sets(X0,f12(X1,X2,X0,union_of_members(ct))),ct)
    | element_of_set(X3,union_of_members(ct)) ) ).

cnf(u225,axiom,
    ( disjoint_s(f21(X0,X1),f22(X0,X1))
    | connected_space(X0,X1)
    | ~ topological_space(X0,X1) ) ).

cnf(u1302,negated_conjecture,
    ( ~ subset_sets(f1(top_of_basis(X2),f11(X0,X1)),X1)
    | ~ element_of_set(f11(X0,X1),sF1)
    | element_of_collection(X1,top_of_basis(X0))
    | ~ element_of_collection(f1(top_of_basis(X2),f11(X0,X1)),X0)
    | element_of_set(f11(X2,sF1),sF1) ) ).

cnf(u684,negated_conjecture,
    ( element_of_set(f7(f13(a,cx,ct,f20(closure(X2,X0,X1),X3)),X4),sF0)
    | ~ subset_sets(X2,sF0)
    | ~ topological_space(closure(X2,X0,X1),X3)
    | hausdorff(closure(X2,X0,X1),X3)
    | ~ closed(sF0,X0,X1)
    | basis(f13(a,cx,ct,f20(closure(X2,X0,X1),X3)),X4)
    | ~ topological_space(f13(a,cx,ct,f20(closure(X2,X0,X1),X3)),X4) ) ).

cnf(u9496,negated_conjecture,
    ( element_of_set(f11(X3,closure(X0,X1,X2)),union_of_members(top_of_basis(X4)))
    | ~ closed(a,X1,X2)
    | ~ subset_sets(X0,a)
    | element_of_set(f11(X4,sF0),sF0)
    | element_of_collection(closure(X0,X1,X2),top_of_basis(X3)) ) ).

cnf(u1702,negated_conjecture,
    ( element_of_set(X8,interior(f14(f13(X0,X1,X2,f7(closure(X5,X3,X4),X6)),cx,ct,X7),X1,X2))
    | basis(closure(X5,X3,X4),X6)
    | ~ topological_space(closure(X5,X3,X4),X6)
    | ~ subset_sets(f14(f13(X0,X1,X2,f7(closure(X5,X3,X4),X6)),cx,ct,X7),X1)
    | ~ element_of_set(X8,f13(X0,X1,X2,f7(closure(X5,X3,X4),X6)))
    | ~ subset_sets(X5,interior(X0,X1,X2))
    | ~ closed(interior(X0,X1,X2),X3,X4)
    | ~ subset_sets(f13(X0,X1,X2,f7(closure(X5,X3,X4),X6)),a)
    | ~ subset_sets(f13(X0,X1,X2,f7(closure(X5,X3,X4),X6)),cx)
    | element_of_set(X7,a) ) ).

cnf(u4003,negated_conjecture,
    ( element_of_set(f15(X1,X2,X3,X4,X5),union_of_members(top_of_basis(X0)))
    | element_of_set(f11(X0,union_of_members(ct)),union_of_members(ct))
    | ~ element_of_collection(X2,ct)
    | ~ element_of_collection(X5,ct)
    | ~ neighborhood(X5,X1,X3,X4)
    | ~ limit_point(X1,X2,X3,X4) ) ).

cnf(u887,axiom,
    ( ~ closed(f13(closure(X0,X1,X2),X3,X4,f11(X8,closure(X7,X5,X6))),X1,X2)
    | ~ subset_sets(X7,interior(closure(X0,X1,X2),X3,X4))
    | element_of_collection(closure(X7,X5,X6),top_of_basis(X8))
    | ~ closed(interior(closure(X0,X1,X2),X3,X4),X5,X6)
    | ~ subset_sets(X0,f13(closure(X0,X1,X2),X3,X4,f11(X8,closure(X7,X5,X6))))
    | ~ element_of_collection(f13(closure(X0,X1,X2),X3,X4,f11(X8,closure(X7,X5,X6))),X9)
    | element_of_collection(closure(X0,X1,X2),top_of_basis(X9)) ) ).

cnf(u1133,axiom,
    ( ~ closed(interior(X0,X1,X2),cx,ct)
    | element_of_collection(f13(X0,X1,X2,f19(sF1,X3)),X2)
    | ~ topological_space(sF1,X3)
    | hausdorff(sF1,X3)
    | ~ subset_sets(a,interior(X0,X1,X2)) ) ).

cnf(u16616,axiom,
    ( disjoint_s(f21(X0,X1),f22(X0,X1))
    | connected_space(X0,X1) ) ).

cnf(u1052,axiom,
    ( ~ element_of_collection(f13(f13(a,cx,ct,X0),X1,X2,f7(interior(f13(a,cx,ct,X0),X1,X2),X3)),X4)
    | basis(interior(f13(a,cx,ct,X0),X1,X2),X3)
    | ~ topological_space(a,X4)
    | ~ element_of_set(X5,f13(f13(a,cx,ct,X0),X1,X2,f7(interior(f13(a,cx,ct,X0),X1,X2),X3)))
    | ~ topological_space(interior(f13(a,cx,ct,X0),X1,X2),X3)
    | element_of_set(X5,interior(f13(a,cx,ct,X0),a,X4))
    | ~ element_of_set(X0,sF0) ) ).

cnf(u15601,axiom,
    ( subset_collections(f23(X1,X2,X0),X2)
    | ~ compact_space(X1,X2)
    | ~ open_covering(X0,X1,X2) ) ).

cnf(u7503,axiom,
    ( ~ element_of_set(X8,f13(X1,X2,X3,f11(X4,closure(X5,X6,X7))))
    | element_of_set(X8,f10(X0,f13(X1,X2,X3,f11(X4,closure(X5,X6,X7))),X8))
    | ~ closed(interior(X1,X2,X3),X6,X7)
    | ~ subset_sets(X5,interior(X1,X2,X3))
    | ~ element_of_set(X9,closure(X5,X6,X7))
    | element_of_set(X9,f10(X4,closure(X5,X6,X7),X9))
    | element_of_set(f11(X0,f13(X1,X2,X3,f11(X4,closure(X5,X6,X7)))),interior(X1,X2,X3)) ) ).

cnf(u9683,negated_conjecture,
    ( element_of_set(f11(X1,boundary(X0,cx,ct)),sF0)
    | element_of_collection(boundary(X0,cx,ct),top_of_basis(X1))
    | ~ subset_sets(X0,a) ) ).

cnf(u1724,axiom,
    ( ~ closed(f13(X4,X5,X6,f20(closure(X0,X1,X2),X3)),X8,X9)
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ closed(interior(X4,X5,X6),X1,X2)
    | ~ subset_sets(X0,interior(X4,X5,X6))
    | element_of_set(f19(closure(X7,X8,X9),X10),interior(X4,X5,X6))
    | hausdorff(closure(X7,X8,X9),X10)
    | ~ subset_sets(X7,f13(X4,X5,X6,f20(closure(X0,X1,X2),X3)))
    | ~ topological_space(closure(X0,X1,X2),X3)
    | ~ topological_space(closure(X7,X8,X9),X10) ) ).

cnf(u7116,axiom,
    ( element_of_set(f11(X8,f10(X1,closure(X2,X3,X4),X0)),f10(X1,closure(X2,X3,X4),X0))
    | subset_sets(f13(X5,X6,X7,f11(X1,closure(X2,X3,X4))),X5)
    | ~ subset_sets(X2,interior(X5,X6,X7))
    | ~ element_of_set(X0,closure(X2,X3,X4))
    | ~ closed(interior(X5,X6,X7),X3,X4)
    | element_of_set(X0,union_of_members(top_of_basis(X8))) ) ).

cnf(u3847,axiom,
    ( hausdorff(closure(X0,X1,X2),subspace_topology(X3,X4,closure(X0,X1,X2)))
    | ~ compact_set(closure(X0,X1,X2),X3,X4)
    | topological_space(X1,X2) ) ).

cnf(u9936,axiom,
    ( element_of_set(f11(subspace_topology(X0,X1,X2),f13(X3,X4,X5,f7(closure(X6,X7,X8),X9))),f13(X3,X4,X5,f7(closure(X6,X7,X8),X9)))
    | topological_space(X0,X1)
    | ~ subset_sets(X6,interior(X3,X4,X5))
    | ~ closed(interior(X3,X4,X5),X7,X8)
    | basis(closure(X6,X7,X8),X9)
    | ~ topological_space(closure(X6,X7,X8),X9) ) ).

cnf(u7531,axiom,
    ( element_of_set(f11(X0,f21(X1,X2)),union_of_members(X2))
    | element_of_set(X3,f10(X0,f21(X1,X2),X3))
    | ~ topological_space(X1,X2)
    | connected_space(X1,X2)
    | ~ element_of_set(X3,f21(X1,X2)) ) ).

cnf(u7044,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,f11(X4,sF0)),X2,X3)
    | ~ element_of_set(X5,closure(X1,X2,X3))
    | element_of_set(X5,f10(X0,closure(X1,X2,X3),X5))
    | ~ subset_sets(X1,f13(a,cx,ct,f11(X4,sF0)))
    | element_of_set(f11(X0,closure(X1,X2,X3)),sF0)
    | element_of_collection(sF0,top_of_basis(X4)) ) ).

cnf(u1112,axiom,
    ( ~ closed(f21(X0,X1),X3,X4)
    | connected_space(X0,X1)
    | element_of_set(f20(closure(X2,X3,X4),X5),union_of_members(X1))
    | hausdorff(closure(X2,X3,X4),X5)
    | ~ subset_sets(X2,f21(X0,X1))
    | ~ topological_space(X0,X1)
    | ~ topological_space(closure(X2,X3,X4),X5) ) ).

cnf(u854,axiom,
    ( ~ element_of_set(f11(X3,boundary(relative_complement_sets(X0,X1),X1,X2)),closure(X0,X1,X2))
    | element_of_collection(boundary(relative_complement_sets(X0,X1),X1,X2),top_of_basis(X3))
    | element_of_set(f11(X3,boundary(relative_complement_sets(X0,X1),X1,X2)),boundary(X0,X1,X2)) ) ).

cnf(u10482,axiom,
    ( ~ element_of_set(X5,f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)))
    | hausdorff(interior(X0,X1,X2),X3)
    | element_of_set(X5,interior(X4,X1,X2)) ) ).

cnf(u1575,axiom,
    ( limit_point(X0,X2,X3,X1)
    | element_of_collection(f1(X1,X0),X1)
    | ~ topological_space(X3,X1)
    | ~ subset_sets(X2,X3) ) ).

cnf(u1463,axiom,
    ( ~ closed(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X5,X6)
    | element_of_set(f19(closure(X4,X5,X6),X7),interior(X0,X1,X2))
    | hausdorff(closure(X4,X5,X6),X7)
    | ~ subset_sets(X4,f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))))
    | element_of_collection(interior(X0,X1,X2),top_of_basis(X3))
    | ~ topological_space(closure(X4,X5,X6),X7) ) ).

cnf(u7104,axiom,
    ( ~ subset_sets(X8,f13(X0,X1,X2,f11(X3,closure(X4,X5,X6))))
    | ~ closed(interior(X0,X1,X2),X5,X6)
    | ~ subset_sets(X4,interior(X0,X1,X2))
    | ~ element_of_set(X7,closure(X4,X5,X6))
    | ~ element_of_collection(X8,X9)
    | ~ topological_space(X0,X9)
    | ~ element_of_set(X10,X8)
    | element_of_set(X7,f10(X3,closure(X4,X5,X6),X7))
    | element_of_set(X10,interior(f13(X0,X1,X2,f11(X3,closure(X4,X5,X6))),X0,X9)) ) ).

cnf(u685,negated_conjecture,
    ( element_of_set(f19(f13(a,cx,ct,f20(closure(X2,X0,X1),X3)),X4),sF0)
    | ~ subset_sets(X2,sF0)
    | ~ topological_space(closure(X2,X0,X1),X3)
    | hausdorff(closure(X2,X0,X1),X3)
    | ~ closed(sF0,X0,X1)
    | ~ topological_space(f13(a,cx,ct,f20(closure(X2,X0,X1),X3)),X4)
    | hausdorff(f13(a,cx,ct,f20(closure(X2,X0,X1),X3)),X4) ) ).

cnf(u6660,negated_conjecture,
    ( element_of_set(f11(X4,f13(a,cx,ct,f11(X3,closure(X0,X1,X2)))),interior(a,sF0,ct))
    | element_of_collection(closure(X0,X1,X2),top_of_basis(X3))
    | ~ closed(sF0,X1,X2)
    | ~ subset_sets(X0,sF0)
    | element_of_collection(f13(a,cx,ct,f11(X3,closure(X0,X1,X2))),top_of_basis(X4)) ) ).

cnf(u9873,axiom,
    ( ~ topological_space(interior(X0,X1,subspace_topology(X2,X3,X4)),X5)
    | basis(interior(X0,X1,subspace_topology(X2,X3,X4)),X5)
    | topological_space(X2,X3) ) ).

cnf(compact_space_104,axiom,
    ( open_covering(f24(X0,X1),X0,X1)
    | ~ topological_space(X0,X1)
    | compact_space(X0,X1) ) ).

cnf(u11962,axiom,
    ( ~ element_of_set(X0,f13(X1,X2,X3,f19(interior(X1,X2,X3),X4)))
    | hausdorff(interior(X1,X2,X3),X4) ) ).

cnf(u3707,axiom,
    ( ~ element_of_set(X0,f22(X1,top_of_basis(subspace_topology(X2,X3,X4))))
    | topological_space(X2,X3)
    | connected_space(X1,top_of_basis(subspace_topology(X2,X3,X4)))
    | ~ topological_space(X1,top_of_basis(subspace_topology(X2,X3,X4))) ) ).

cnf(u1097,negated_conjecture,
    ( ~ subset_sets(X2,f14(a,cx,ct,f11(X0,X1)))
    | element_of_collection(X1,top_of_basis(X0))
    | ~ subset_sets(sF1,X1)
    | ~ subset_sets(X2,cx)
    | ~ element_of_collection(sF1,X0)
    | subset_sets(X2,f14(X2,cx,ct,X3))
    | element_of_set(X3,f14(a,cx,ct,f11(X0,X1))) ) ).

cnf(u813,negated_conjecture,
    ( ~ subset_sets(a,f14(X0,cx,ct,X1))
    | ~ subset_sets(f14(X0,cx,ct,X1),sF1)
    | ~ element_of_collection(f14(X0,cx,ct,X1),X2)
    | element_of_collection(sF1,top_of_basis(X2))
    | element_of_set(X1,closure(X0,cx,ct))
    | ~ subset_sets(X0,cx) ) ).

cnf(u327,negated_conjecture,
    ( element_of_set(f15(X0,X1,X2,X3,X4),union_of_members(ct))
    | ~ element_of_collection(X1,ct)
    | ~ element_of_collection(X4,ct)
    | ~ neighborhood(X4,X0,X2,X3)
    | ~ limit_point(X0,X1,X2,X3) ) ).

cnf(u10467,axiom,
    ( ~ element_of_set(X2,relative_complement_sets(X3,X1))
    | ~ closed(X3,X1,X4)
    | element_of_set(X2,interior(X0,X1,X4)) ) ).

cnf(u3504,axiom,
    ( ~ topological_space(f13(X1,X2,X3,f19(sF1,X0)),X4)
    | hausdorff(sF1,X0)
    | ~ closed(interior(X1,X2,X3),cx,ct)
    | ~ subset_sets(a,interior(X1,X2,X3))
    | element_of_set(f20(f13(X1,X2,X3,f19(sF1,X0)),X4),interior(X1,X2,X3))
    | ~ topological_space(sF1,X0)
    | hausdorff(f13(X1,X2,X3,f19(sF1,X0)),X4) ) ).

cnf(u4125,axiom,
    ( element_of_set(f11(subspace_topology(X1,X2,X0),closure(X3,X4,X5)),closure(X3,X4,X5))
    | element_of_collection(boundary(X3,X4,X5),top_of_basis(X6))
    | subset_sets(X0,X1) ) ).

cnf(u7030,negated_conjecture,
    ( ~ closed(intersection_of_sets(X4,X5),X2,X3)
    | ~ element_of_set(X6,closure(X1,X2,X3))
    | element_of_set(X6,f10(X0,closure(X1,X2,X3),X6))
    | ~ subset_sets(X1,intersection_of_sets(X4,X5))
    | element_of_set(f11(X0,closure(X1,X2,X3)),union_of_members(ct))
    | ~ element_of_collection(X5,ct)
    | ~ element_of_collection(X4,ct) ) ).

cnf(u3966,axiom,
    ( element_of_set(f11(X0,f16(X1,X2,X3,X4)),f16(X1,X2,X3,X4))
    | element_of_set(X1,union_of_members(top_of_basis(X0)))
    | ~ subset_sets(X2,X3)
    | limit_point(X1,X2,X3,X4)
    | ~ topological_space(X3,X4) ) ).

cnf(connected_space_89,axiom,
    ( ~ connected_space(X0,X1)
    | topological_space(X0,X1) ) ).

cnf(u755,axiom,
    ( element_of_collection(interior(X1,X2,X3),top_of_basis(X0))
    | subset_sets(X1,X2) ) ).

cnf(u3666,axiom,
    ( ~ closed(f13(X4,X5,X6,f11(X3,boundary(X0,X1,X2))),X8,X9)
    | ~ subset_sets(X0,interior(X4,X5,X6))
    | ~ closed(interior(X4,X5,X6),X1,X2)
    | element_of_set(f7(closure(X7,X8,X9),X10),interior(X4,X5,X6))
    | ~ topological_space(closure(X7,X8,X9),X10)
    | ~ subset_sets(X7,f13(X4,X5,X6,f11(X3,boundary(X0,X1,X2))))
    | element_of_collection(boundary(X0,X1,X2),top_of_basis(X3))
    | basis(closure(X7,X8,X9),X10) ) ).

cnf(u548,axiom,
    ( ~ element_of_set(X1,f13(a,cx,ct,f20(sF0,X0)))
    | hausdorff(sF0,X0)
    | ~ topological_space(sF0,X0)
    | element_of_set(X1,union_of_members(ct)) ) ).

cnf(u4113,axiom,
    ( ~ topological_space(closure(X4,X5,X6),X7)
    | element_of_set(f11(subspace_topology(X1,X2,X0),X3),X3)
    | subset_sets(X0,X1)
    | ~ subset_sets(X4,X3)
    | ~ closed(X3,X5,X6)
    | basis(closure(X4,X5,X6),X7) ) ).

cnf(u1218,axiom,
    ( element_of_collection(empty_set,subspace_topology(X1,X2,X0))
    | ~ connected_set(X0,X1,X2) ) ).

cnf(u7018,axiom,
    ( ~ element_of_set(X5,closure(X1,X2,X3))
    | element_of_set(X5,f10(X0,closure(X1,X2,X3),X5))
    | ~ closed(union_of_members(X4),X2,X3)
    | ~ subset_sets(X1,union_of_members(X4))
    | element_of_collection(f1(X4,f11(X0,closure(X1,X2,X3))),X4) ) ).

cnf(u1360,axiom,
    ( element_of_collection(f6(X5,X6,f15(X0,X1,X2,X3,X4),X4,X1),X6)
    | ~ element_of_collection(X4,X6)
    | ~ element_of_collection(X1,X6)
    | ~ basis(X5,X6)
    | ~ element_of_set(f15(X0,X1,X2,X3,X4),X5)
    | ~ neighborhood(X4,X0,X2,X3)
    | ~ limit_point(X0,X1,X2,X3) ) ).

cnf(hausdorff_78,axiom,
    ( element_of_set(f20(X0,X1),X0)
    | ~ topological_space(X0,X1)
    | hausdorff(X0,X1) ) ).

cnf(u992,axiom,
    ( ~ element_of_set(f7(X1,X2),f13(intersection_of_sets(f8(X1,X2),f9(X1,X2)),X3,X4,f19(closure(X0,X5,X6),X7)))
    | ~ closed(interior(intersection_of_sets(f8(X1,X2),f9(X1,X2)),X3,X4),X5,X6)
    | ~ topological_space(closure(X0,X5,X6),X7)
    | hausdorff(closure(X0,X5,X6),X7)
    | ~ equal_sets(union_of_members(X2),X1)
    | ~ subset_sets(X0,interior(intersection_of_sets(f8(X1,X2),f9(X1,X2)),X3,X4))
    | ~ element_of_collection(f13(intersection_of_sets(f8(X1,X2),f9(X1,X2)),X3,X4,f19(closure(X0,X5,X6),X7)),X2)
    | basis(X1,X2) ) ).

cnf(u6563,negated_conjecture,
    ( ~ closed(boundary(X2,X0,X1),X5,X6)
    | ~ subset_sets(X2,sF1)
    | element_of_collection(closure(X4,X5,X6),top_of_basis(X3))
    | ~ closed(sF1,X0,X1)
    | ~ subset_sets(X4,boundary(X2,X0,X1)) ) ).

cnf(u7580,negated_conjecture,
    ( ~ subset_sets(X2,f13(a,cx,X0,X1))
    | ~ element_of_set(X1,a)
    | element_of_set(f11(X0,a),a)
    | ~ element_of_collection(X2,X3)
    | ~ topological_space(a,X3)
    | ~ element_of_set(X4,X2)
    | ~ topological_space(cx,X0)
    | element_of_set(X4,interior(f13(a,cx,X0,X1),a,X3)) ) ).

cnf(u3696,axiom,
    ( ~ element_of_set(X0,boundary(X1,X2,X3))
    | topological_space(X4,X5)
    | element_of_set(f11(subspace_topology(X4,X5,X6),boundary(X1,X2,X3)),X7)
    | ~ closed(X7,X2,X3)
    | ~ subset_sets(X1,X7) ) ).

cnf(u6936,axiom,
    ( ~ closed(f13(a,cx,ct,f20(sF0,X0)),X2,X3)
    | ~ topological_space(sF0,X0)
    | element_of_set(f19(closure(X1,X2,X3),X4),union_of_members(ct))
    | hausdorff(closure(X1,X2,X3),X4)
    | ~ subset_sets(X1,f13(a,cx,ct,f20(sF0,X0)))
    | hausdorff(sF0,X0)
    | ~ topological_space(closure(X1,X2,X3),X4) ) ).

cnf(u1118,axiom,
    ( ~ closed(interior(X0,X1,X2),cx,ct)
    | element_of_collection(f13(X0,X1,X2,f20(sF1,X3)),X2)
    | ~ topological_space(sF1,X3)
    | hausdorff(sF1,X3)
    | ~ subset_sets(a,interior(X0,X1,X2)) ) ).

cnf(u3667,axiom,
    ( element_of_set(f11(X7,f13(X4,X5,X6,f11(X3,boundary(X0,X1,X2)))),interior(X4,X5,X6))
    | ~ subset_sets(X0,interior(X4,X5,X6))
    | ~ closed(interior(X4,X5,X6),X1,X2)
    | element_of_collection(boundary(X0,X1,X2),top_of_basis(X3))
    | element_of_collection(f13(X4,X5,X6,f11(X3,boundary(X0,X1,X2))),top_of_basis(X7)) ) ).

cnf(u1327,negated_conjecture,
    ( element_of_set(f20(f1(top_of_basis(X1),X0),X2),union_of_members(top_of_basis(X1)))
    | element_of_set(f11(X1,sF1),sF1)
    | ~ element_of_set(X0,sF1)
    | ~ topological_space(f1(top_of_basis(X1),X0),X2)
    | hausdorff(f1(top_of_basis(X1),X0),X2) ) ).

cnf(u195,axiom,
    ( ~ closed(X4,X2,X3)
    | ~ subset_sets(X1,X2)
    | ~ subset_sets(X1,X4)
    | closed(f14(X1,X2,X3,X0),X2,X3)
    | element_of_set(X0,X4) ) ).

cnf(u3642,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,f11(X3,boundary(X0,X1,X2))),X5,X6)
    | ~ closed(sF0,X1,X2)
    | element_of_collection(boundary(X0,X1,X2),top_of_basis(X3))
    | element_of_set(f7(closure(X4,X5,X6),X7),sF0)
    | ~ topological_space(closure(X4,X5,X6),X7)
    | ~ subset_sets(X4,f13(a,cx,ct,f11(X3,boundary(X0,X1,X2))))
    | ~ subset_sets(X0,sF0)
    | basis(closure(X4,X5,X6),X7) ) ).

cnf(u319,axiom,
    ( limit_point(X2,X3,X4,subspace_topology(X1,X5,X0))
    | subset_sets(X0,X1)
    | ~ topological_space(X4,subspace_topology(X1,X5,X0))
    | ~ subset_sets(X3,X4) ) ).

cnf(u323,axiom,
    ( ~ closed(X2,X3,subspace_topology(X0,X1,X4))
    | topological_space(X0,X1) ) ).

cnf(u3886,negated_conjecture,
    ( ~ subset_sets(a,f14(X0,cx,ct,f11(X4,f14(closure(X0,cx,ct),X1,X2,X3))))
    | ~ element_of_collection(closure(X0,cx,ct),X4)
    | ~ subset_sets(X0,cx)
    | element_of_set(X3,closure(closure(X0,cx,ct),X1,X2))
    | ~ subset_sets(closure(X0,cx,ct),X1)
    | ~ topological_space(X1,X2)
    | element_of_set(f11(X5,sF1),f14(X0,cx,ct,f11(X4,f14(closure(X0,cx,ct),X1,X2,X3))))
    | element_of_collection(sF1,top_of_basis(X5))
    | element_of_collection(f14(closure(X0,cx,ct),X1,X2,X3),top_of_basis(X4)) ) ).

cnf(u3710,axiom,
    ( ~ element_of_set(X0,f13(X1,X2,top_of_basis(subspace_topology(X3,X4,X5)),f11(X6,boundary(X7,X8,X9))))
    | topological_space(X3,X4)
    | ~ subset_sets(X7,interior(X1,X2,top_of_basis(subspace_topology(X3,X4,X5))))
    | element_of_collection(boundary(X7,X8,X9),top_of_basis(X6))
    | ~ closed(interior(X1,X2,top_of_basis(subspace_topology(X3,X4,X5))),X8,X9) ) ).

cnf(u1235,axiom,
    ( element_of_collection(X3,subspace_topology(X6,subspace_topology(X4,X5,f12(X0,X1,X2,X3)),X2))
    | ~ topological_space(X6,subspace_topology(X4,X5,f12(X0,X1,X2,X3)))
    | ~ subset_sets(X2,X6)
    | ~ element_of_collection(X3,subspace_topology(X0,X1,X2))
    | ~ connected_set(f12(X0,X1,X2,X3),X4,X5) ) ).

cnf(u1642,axiom,
    ( ~ closed(f16(X4,X5,X6,X7),X1,X2)
    | ~ subset_sets(X0,f16(X4,X5,X6,X7))
    | ~ topological_space(closure(X0,X1,X2),X3)
    | basis(closure(X0,X1,X2),X3)
    | ~ topological_space(X6,X7)
    | ~ subset_sets(X5,X6)
    | limit_point(X4,X5,X6,X7)
    | element_of_set(f7(closure(X0,X1,X2),X3),union_of_members(X7)) ) ).

cnf(u7181,axiom,
    ( ~ closed(interior(X2,X3,X4),cx,ct)
    | element_of_set(f11(X1,sF1),f13(X2,X3,X4,f11(X1,sF1)))
    | element_of_set(X0,f10(X1,sF1,X0))
    | ~ subset_sets(a,interior(X2,X3,X4))
    | ~ element_of_set(X0,sF1) ) ).

cnf(u7067,axiom,
    ( ~ closed(closure(X4,X5,X6),X2,X3)
    | ~ element_of_set(X7,closure(X1,X2,X3))
    | element_of_set(X7,f10(X0,closure(X1,X2,X3),X7))
    | ~ subset_sets(X1,closure(X4,X5,X6))
    | ~ closed(X8,X5,X6)
    | ~ subset_sets(X4,X8)
    | element_of_set(f11(X9,closure(X4,X5,X6)),X8)
    | element_of_set(f11(X0,closure(X1,X2,X3)),union_of_members(top_of_basis(X9))) ) ).

cnf(u670,axiom,
    ( ~ subset_sets(f13(X1,X2,X3,f20(closure(X0,X4,X5),X6)),X7)
    | ~ closed(interior(X1,X2,X3),X4,X5)
    | ~ topological_space(closure(X0,X4,X5),X6)
    | hausdorff(closure(X0,X4,X5),X6)
    | ~ subset_sets(X7,X2)
    | ~ element_of_set(X8,f13(X1,X2,X3,f20(closure(X0,X4,X5),X6)))
    | ~ subset_sets(X0,interior(X1,X2,X3))
    | element_of_set(X8,interior(X7,X2,X3)) ) ).

cnf(u1903,axiom,
    ( ~ subset_sets(X1,f14(relative_complement_sets(a,cx),cx,ct,X0))
    | element_of_set(X0,boundary(a,cx,ct))
    | ~ subset_sets(X1,cx)
    | ~ element_of_set(X0,sF1)
    | subset_sets(X1,f14(X1,cx,ct,X2))
    | element_of_set(X2,f14(relative_complement_sets(a,cx),cx,ct,X0)) ) ).

cnf(u3606,axiom,
    ( ~ closed(closure(X4,X5,X6),X2,X3)
    | element_of_collection(boundary(X1,X2,X3),top_of_basis(X0))
    | ~ subset_sets(X1,closure(X4,X5,X6))
    | ~ closed(X7,X5,X6)
    | ~ subset_sets(X4,X7)
    | element_of_set(f11(X8,closure(X4,X5,X6)),X7)
    | element_of_set(f11(X0,boundary(X1,X2,X3)),union_of_members(top_of_basis(X8))) ) ).

cnf(compact_space_101,axiom,
    ( finite(f23(X0,X1,X2))
    | ~ open_covering(X2,X0,X1)
    | ~ compact_space(X0,X1) ) ).

cnf(u44762,axiom,
    ( ~ compact_space(X0,f24(X1,X2))
    | compact_space(X1,X2)
    | ~ subset_collections(X2,f24(X1,X2)) ) ).

cnf(u4865,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X1,X3,X0),sF0),union_of_members(top_of_basis(X2)))
    | element_of_set(f11(X2,sF0),sF0)
    | subset_sets(X0,X1) ) ).

cnf(u3616,axiom,
    ( element_of_set(f11(X0,boundary(X1,X2,X3)),closure(X4,X5,X6))
    | ~ closed(boundary(X4,X5,X6),X2,X3)
    | ~ subset_sets(X1,boundary(X4,X5,X6))
    | element_of_collection(boundary(X1,X2,X3),top_of_basis(X0)) ) ).

cnf(u301,axiom,
    ( element_of_set(X7,interior(f14(f16(X0,X1,X2,X3),X4,X5,X6),X2,X3))
    | ~ topological_space(X2,X3)
    | ~ subset_sets(f14(f16(X0,X1,X2,X3),X4,X5,X6),X2)
    | ~ element_of_set(X7,f16(X0,X1,X2,X3))
    | ~ subset_sets(X1,X2)
    | limit_point(X0,X1,X2,X3)
    | element_of_set(X6,closure(f16(X0,X1,X2,X3),X4,X5))
    | ~ subset_sets(f16(X0,X1,X2,X3),X4)
    | ~ topological_space(X4,X5) ) ).

cnf(u9917,axiom,
    ( element_of_set(f11(subspace_topology(X0,X1,X2),f13(a,cx,ct,X3)),f13(a,cx,ct,X3))
    | topological_space(X0,X1)
    | ~ element_of_set(X3,sF0) ) ).

cnf(u1310,negated_conjecture,
    ( element_of_collection(f1(top_of_basis(X0),X1),top_of_basis(X0))
    | element_of_set(f11(X0,sF1),sF1)
    | ~ element_of_set(X1,sF1) ) ).

cnf(u1054,negated_conjecture,
    ( subset_sets(f13(f14(X0,cx,ct,X1),X2,X3,f7(interior(f14(X0,cx,ct,X1),X2,X3),X4)),f14(f13(f14(X0,cx,ct,X1),X2,X3,f7(interior(f14(X0,cx,ct,X1),X2,X3),X4)),cx,ct,X5))
    | basis(interior(f14(X0,cx,ct,X1),X2,X3),X4)
    | ~ subset_sets(X0,cx)
    | element_of_set(X1,a)
    | ~ subset_sets(f13(f14(X0,cx,ct,X1),X2,X3,f7(interior(f14(X0,cx,ct,X1),X2,X3),X4)),cx)
    | ~ subset_sets(X0,a)
    | ~ topological_space(interior(f14(X0,cx,ct,X1),X2,X3),X4)
    | element_of_set(X5,f14(X0,cx,ct,X1)) ) ).

cnf(u6605,negated_conjecture,
    ( subset_sets(f13(a,sF0,ct,f20(closure(X0,X1,X2),X3)),a)
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ subset_sets(X0,sF0)
    | ~ closed(sF0,X1,X2)
    | ~ topological_space(closure(X0,X1,X2),X3) ) ).

cnf(u1710,negated_conjecture,
    ( element_of_set(X5,interior(f14(f13(X0,X1,X2,f7(sF1,X3)),cx,ct,X4),X1,X2))
    | basis(sF1,X3)
    | ~ topological_space(sF1,X3)
    | ~ subset_sets(f14(f13(X0,X1,X2,f7(sF1,X3)),cx,ct,X4),X1)
    | ~ element_of_set(X5,f13(X0,X1,X2,f7(sF1,X3)))
    | ~ subset_sets(a,interior(X0,X1,X2))
    | ~ closed(interior(X0,X1,X2),cx,ct)
    | ~ subset_sets(f13(X0,X1,X2,f7(sF1,X3)),a)
    | ~ subset_sets(f13(X0,X1,X2,f7(sF1,X3)),cx)
    | element_of_set(X4,a) ) ).

cnf(u2561,axiom,
    ( ~ topological_space(closure(X3,X4,X5),X7)
    | element_of_set(f11(subspace_topology(X1,X2,X0),closure(X3,X4,X5)),X6)
    | ~ closed(X6,X4,X5)
    | ~ subset_sets(X3,X6)
    | subset_sets(X0,X1)
    | hausdorff(closure(X3,X4,X5),X7) ) ).

cnf(u895,negated_conjecture,
    ( ~ element_of_set(X4,f13(a,cx,ct,f11(X3,closure(X2,X0,X1))))
    | ~ subset_sets(X2,sF0)
    | ~ closed(sF0,X0,X1)
    | element_of_collection(closure(X2,X0,X1),top_of_basis(X3))
    | element_of_set(X4,sF0) ) ).

cnf(u1425,axiom,
    ( ~ element_of_set(X4,f13(X0,X1,X2,f7(interior(X0,X1,X2),X3)))
    | basis(interior(X0,X1,X2),X3)
    | ~ topological_space(interior(X0,X1,X2),X3)
    | element_of_set(X4,interior(X0,X1,X2)) ) ).

cnf(u7302,axiom,
    ( ~ closed(f13(X4,X5,X6,f7(closure(X0,X1,X2),X3)),X9,X10)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | ~ closed(interior(X4,X5,X6),X1,X2)
    | ~ subset_sets(X0,interior(X4,X5,X6))
    | element_of_set(f11(X7,closure(X8,X9,X10)),interior(X4,X5,X6))
    | element_of_set(X11,f10(X7,closure(X8,X9,X10),X11))
    | ~ element_of_set(X11,closure(X8,X9,X10))
    | basis(closure(X0,X1,X2),X3)
    | ~ subset_sets(X8,f13(X4,X5,X6,f7(closure(X0,X1,X2),X3))) ) ).

cnf(hausdorff_74,axiom,
    ( neighborhood(f17(X0,X1,X2,X3),X2,X0,X1)
    | ~ element_of_set(X2,X0)
    | ~ element_of_set(X3,X0)
    | eq_p(X2,X3)
    | ~ hausdorff(X0,X1) ) ).

cnf(u509,axiom,
    ( element_of_set(f19(f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),X4),interior(X0,X1,X2))
    | hausdorff(interior(X0,X1,X2),X3)
    | ~ topological_space(interior(X0,X1,X2),X3)
    | ~ topological_space(f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),X4)
    | hausdorff(f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),X4) ) ).

cnf(u1553,axiom,
    ( element_of_set(f20(boundary(a,cx,ct),X0),sF1)
    | hausdorff(boundary(a,cx,ct),X0)
    | ~ topological_space(boundary(a,cx,ct),X0) ) ).

cnf(u874,axiom,
    ( element_of_set(f20(closure(X3,X1,X2),X5),union_of_members(top_of_basis(X4)))
    | element_of_set(f11(X4,closure(X3,X1,X2)),X0)
    | ~ subset_sets(X3,X0)
    | ~ closed(X0,X1,X2)
    | ~ topological_space(closure(X3,X1,X2),X5)
    | hausdorff(closure(X3,X1,X2),X5) ) ).

cnf(u4033,axiom,
    ( element_of_set(f20(boundary(a,cx,ct),X1),union_of_members(top_of_basis(X0)))
    | element_of_set(f11(X0,sF1),sF1)
    | hausdorff(boundary(a,cx,ct),X1)
    | ~ topological_space(boundary(a,cx,ct),X1) ) ).

cnf(u7330,axiom,
    ( ~ element_of_set(X8,f13(X0,X1,X2,f11(X3,closure(X4,X5,X6))))
    | ~ subset_sets(X4,interior(X0,X1,X2))
    | ~ element_of_set(X7,closure(X4,X5,X6))
    | ~ closed(interior(X0,X1,X2),X5,X6)
    | element_of_set(X7,f10(X3,closure(X4,X5,X6),X7))
    | element_of_set(X8,union_of_members(X2)) ) ).

cnf(u9730,negated_conjecture,
    ( element_of_set(f19(closure(X0,X1,X2),X3),union_of_members(top_of_basis(X4)))
    | ~ subset_sets(X0,a)
    | ~ closed(a,X1,X2)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | element_of_set(f11(X4,sF0),sF0)
    | hausdorff(closure(X0,X1,X2),X3) ) ).

cnf(u6815,negated_conjecture,
    ( ~ closed(closure(X0,X1,X2),X4,X5)
    | ~ closed(sF1,X1,X2)
    | hausdorff(closure(X3,X4,X5),X6)
    | ~ subset_sets(X3,closure(X0,X1,X2))
    | ~ subset_sets(X0,sF1)
    | ~ topological_space(closure(X3,X4,X5),X6) ) ).

cnf(u3581,negated_conjecture,
    ( ~ closed(intersection_of_sets(X4,X5),X2,X3)
    | element_of_collection(boundary(X1,X2,X3),top_of_basis(X0))
    | ~ subset_sets(X1,intersection_of_sets(X4,X5))
    | element_of_set(f11(X0,boundary(X1,X2,X3)),union_of_members(ct))
    | ~ element_of_collection(X5,ct)
    | ~ element_of_collection(X4,ct) ) ).

cnf(u364,negated_conjecture,
    ( ~ element_of_set(X1,f13(a,cx,ct,f19(sF0,X0)))
    | element_of_set(X1,sF0)
    | ~ topological_space(sF0,X0)
    | hausdorff(sF0,X0) ) ).

cnf(u7015,axiom,
    ( ~ element_of_set(X5,closure(X1,X2,X3))
    | element_of_set(X5,f10(X0,closure(X1,X2,X3),X5))
    | ~ closed(X4,X2,X3)
    | ~ subset_sets(X1,X4)
    | subset_sets(X6,X7)
    | element_of_set(f11(subspace_topology(X7,X8,X6),X4),X4) ) ).

cnf(u9780,negated_conjecture,
    ( open(f13(a,cx,X1,f20(f13(a,cx,X1,X0),X2)),cx,X1)
    | ~ topological_space(cx,X1)
    | element_of_set(f11(X1,a),a)
    | ~ topological_space(f13(a,cx,X1,X0),X2)
    | hausdorff(f13(a,cx,X1,X0),X2)
    | ~ element_of_set(X0,a) ) ).

cnf(u7953,negated_conjecture,
    ( element_of_set(X4,interior(a,cx,subspace_topology(X2,X3,f13(a,cx,X1,X0))))
    | element_of_set(f11(X1,a),a)
    | ~ topological_space(cx,subspace_topology(X2,X3,f13(a,cx,X1,X0)))
    | ~ element_of_set(X4,f13(a,cx,X1,X0))
    | ~ topological_space(cx,X1)
    | ~ element_of_set(X0,a)
    | ~ compact_set(f13(a,cx,X1,X0),X2,X3) ) ).

cnf(u6998,axiom,
    ( element_of_set(X0,f10(X2,f9(X1,top_of_basis(X2)),X0))
    | ~ element_of_set(X0,f9(X1,top_of_basis(X2)))
    | basis(X1,top_of_basis(X2))
    | ~ topological_space(X1,top_of_basis(X2)) ) ).

cnf(u3025,axiom,
    ( ~ closed(f13(X4,X5,X6,f19(closure(X0,X1,X2),X3)),X8,X9)
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ closed(interior(X4,X5,X6),X1,X2)
    | ~ subset_sets(X0,interior(X4,X5,X6))
    | element_of_set(f19(closure(X7,X8,X9),X10),interior(X4,X5,X6))
    | hausdorff(closure(X7,X8,X9),X10)
    | ~ subset_sets(X7,f13(X4,X5,X6,f19(closure(X0,X1,X2),X3)))
    | ~ topological_space(closure(X0,X1,X2),X3)
    | ~ topological_space(closure(X7,X8,X9),X10) ) ).

cnf(u3590,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,f7(sF0,X4)),X2,X3)
    | element_of_collection(boundary(X1,X2,X3),top_of_basis(X0))
    | ~ subset_sets(X1,f13(a,cx,ct,f7(sF0,X4)))
    | element_of_set(f11(X0,boundary(X1,X2,X3)),sF0)
    | basis(sF0,X4)
    | ~ topological_space(sF0,X4) ) ).

cnf(u4005,negated_conjecture,
    ( element_of_set(f19(f13(a,cx,ct,X1),X2),union_of_members(top_of_basis(X0)))
    | element_of_set(f11(X0,sF0),sF0)
    | hausdorff(f13(a,cx,ct,X1),X2)
    | ~ topological_space(f13(a,cx,ct,X1),X2)
    | ~ element_of_set(X1,sF0) ) ).

cnf(u4121,axiom,
    ( element_of_set(f11(subspace_topology(X1,X2,X0),f13(X3,X4,X5,f11(X6,interior(X3,X4,X5)))),f13(X3,X4,X5,f11(X6,interior(X3,X4,X5))))
    | subset_sets(X0,X1)
    | element_of_collection(interior(X3,X4,X5),top_of_basis(X6)) ) ).

cnf(u1674,negated_conjecture,
    ( ~ element_of_collection(f13(a,X1,X2,f7(closure(X0,X3,X4),X5)),X6)
    | ~ closed(interior(a,X1,X2),X3,X4)
    | basis(closure(X0,X3,X4),X5)
    | ~ topological_space(closure(X0,X3,X4),X5)
    | ~ topological_space(cx,X6)
    | ~ element_of_set(X7,f13(a,X1,X2,f7(closure(X0,X3,X4),X5)))
    | ~ subset_sets(X0,interior(a,X1,X2))
    | element_of_set(X7,interior(a,cx,X6)) ) ).

cnf(u4717,negated_conjecture,
    ( ~ element_of_set(X0,boundary(a,cx,ct))
    | element_of_set(X0,union_of_members(top_of_basis(X1))) ) ).

cnf(u315,axiom,
    ( open_covering(X0,intersection_of_sets(X3,f12(X1,X2,X3,union_of_members(X0))),X4)
    | ~ topological_space(intersection_of_sets(X3,f12(X1,X2,X3,union_of_members(X0))),X4)
    | ~ subset_collections(X0,X4)
    | ~ element_of_collection(union_of_members(X0),subspace_topology(X1,X2,X3)) ) ).

cnf(u7230,axiom,
    ( ~ element_of_set(X5,f12(X1,top_of_basis(subspace_topology(X2,X3,X4)),X0,X0))
    | ~ connected_set(X0,X1,top_of_basis(subspace_topology(X2,X3,X4)))
    | topological_space(X2,X3) ) ).

cnf(u9282,negated_conjecture,
    ( ~ subset_sets(f13(a,cx,X0,X1),X2)
    | ~ element_of_set(X1,a)
    | element_of_set(f11(X0,a),sF0)
    | ~ subset_sets(X2,cx)
    | ~ element_of_set(X3,f13(a,cx,X0,X1))
    | ~ topological_space(cx,X0)
    | element_of_set(X3,interior(X2,cx,X0)) ) ).

cnf(u792,axiom,
    ( ~ closed(f13(X4,X5,X6,f20(interior(X4,X5,X6),X7)),X2,X3)
    | element_of_collection(closure(X1,X2,X3),top_of_basis(X0))
    | ~ subset_sets(X1,f13(X4,X5,X6,f20(interior(X4,X5,X6),X7)))
    | ~ topological_space(interior(X4,X5,X6),X7)
    | hausdorff(interior(X4,X5,X6),X7)
    | element_of_set(f11(X0,closure(X1,X2,X3)),interior(X4,X5,X6)) ) ).

cnf(u9910,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X0,X1,X2),f10(ct,a,X3)),f10(ct,a,X3))
    | topological_space(X0,X1)
    | ~ element_of_set(X3,a) ) ).

cnf(u6665,negated_conjecture,
    ( element_of_set(f20(f13(a,cx,ct,f11(X3,closure(X0,X1,X2))),X4),interior(a,sF0,ct))
    | element_of_collection(closure(X0,X1,X2),top_of_basis(X3))
    | ~ closed(sF0,X1,X2)
    | ~ subset_sets(X0,sF0)
    | ~ topological_space(f13(a,cx,ct,f11(X3,closure(X0,X1,X2))),X4)
    | hausdorff(f13(a,cx,ct,f11(X3,closure(X0,X1,X2))),X4) ) ).

cnf(u10350,negated_conjecture,
    closed(f14(X0,cx,ct,X1),cx,ct) ).

cnf(open_covering_97,axiom,
    ( ~ open_covering(X0,X1,X2)
    | subset_collections(X0,X2) ) ).

cnf(u763,axiom,
    ( closed(f14(relative_complement_sets(X1,X2),X2,X3,f11(X0,closure(X1,X2,X3))),X2,X3)
    | element_of_set(f11(X0,closure(X1,X2,X3)),boundary(X1,X2,X3))
    | element_of_collection(closure(X1,X2,X3),top_of_basis(X0))
    | ~ subset_sets(relative_complement_sets(X1,X2),X2) ) ).

cnf(u1009,negated_conjecture,
    ( element_of_set(f20(f13(a,cx,ct,f19(closure(X2,X0,X1),X3)),X4),sF0)
    | ~ subset_sets(X2,sF0)
    | ~ topological_space(closure(X2,X0,X1),X3)
    | hausdorff(closure(X2,X0,X1),X3)
    | ~ closed(sF0,X0,X1)
    | ~ topological_space(f13(a,cx,ct,f19(closure(X2,X0,X1),X3)),X4)
    | hausdorff(f13(a,cx,ct,f19(closure(X2,X0,X1),X3)),X4) ) ).

cnf(u1574,axiom,
    ( limit_point(X0,X2,X3,X1)
    | element_of_set(X0,f1(X1,X0))
    | ~ topological_space(X3,X1)
    | ~ subset_sets(X2,X3) ) ).

cnf(u7447,axiom,
    ( ~ closed(f8(X0,X1),X4,X5)
    | basis(X0,X1)
    | element_of_set(f11(X2,closure(X3,X4,X5)),union_of_members(X1))
    | element_of_set(X6,f10(X2,closure(X3,X4,X5),X6))
    | ~ element_of_set(X6,closure(X3,X4,X5))
    | ~ topological_space(X0,X1)
    | ~ subset_sets(X3,f8(X0,X1)) ) ).

cnf(u7954,negated_conjecture,
    ( element_of_set(X4,interior(a,cx,subspace_topology(X2,X3,f13(a,cx,X1,X0))))
    | element_of_set(f11(X1,a),a)
    | ~ topological_space(cx,subspace_topology(X2,X3,f13(a,cx,X1,X0)))
    | ~ element_of_set(X4,f13(a,cx,X1,X0))
    | ~ topological_space(cx,X1)
    | ~ element_of_set(X0,a)
    | ~ connected_set(f13(a,cx,X1,X0),X2,X3) ) ).

cnf(u1228,axiom,
    ( hausdorff(closure(X0,X1,X2),subspace_topology(X3,X4,closure(X0,X1,X2)))
    | ~ connected_set(closure(X0,X1,X2),X3,X4)
    | subset_sets(X0,X1) ) ).

cnf(u7221,axiom,
    ( ~ closed(f13(boundary(X0,X1,X2),X3,X4,f11(X5,boundary(X6,X7,X8))),X1,X2)
    | ~ subset_sets(X0,f13(boundary(X0,X1,X2),X3,X4,f11(X5,boundary(X6,X7,X8))))
    | ~ element_of_collection(f13(boundary(X0,X1,X2),X3,X4,f11(X5,boundary(X6,X7,X8))),X9)
    | element_of_collection(boundary(X0,X1,X2),top_of_basis(X9))
    | ~ closed(interior(boundary(X0,X1,X2),X3,X4),X7,X8)
    | ~ subset_sets(X6,interior(boundary(X0,X1,X2),X3,X4))
    | element_of_collection(boundary(X6,X7,X8),top_of_basis(X5)) ) ).

cnf(u22793,axiom,
    ( equal_sets(union_of_sets(X1,X0),intersection_of_sets(X2,f12(X3,X4,X2,union_of_sets(X1,X0))))
    | equal_sets(X1,empty_set)
    | ~ disjoint_s(X1,X0)
    | equal_sets(X0,empty_set) ) ).

cnf(u1675,axiom,
    ( ~ closed(interior(X0,X1,X2),cx,ct)
    | ~ subset_sets(a,interior(X0,X1,X2))
    | subset_sets(f13(X0,X1,X2,f7(sF1,X3)),X0)
    | basis(sF1,X3)
    | ~ topological_space(sF1,X3) ) ).

cnf(u10611,axiom,
    ( element_of_set(f20(relative_complement_sets(a,cx),X0),interior(cx,cx,X1))
    | ~ closed(a,cx,X1)
    | hausdorff(relative_complement_sets(a,cx),X0) ) ).

cnf(u9860,negated_conjecture,
    ( ~ subset_sets(f1(ct,f11(X0,X1)),X1)
    | element_of_collection(X1,top_of_basis(X0))
    | ~ element_of_collection(f1(ct,f11(X0,X1)),X0)
    | ~ element_of_set(f11(X0,X1),empty_set) ) ).

cnf(separation_86,axiom,
    ( ~ separation(X0,X1,X2,X3)
    | equal_sets(union_of_sets(X0,X1),X2) ) ).

cnf(u744,axiom,
    ( element_of_collection(f1(X1,f11(X0,union_of_members(X1))),X1)
    | element_of_collection(union_of_members(X1),top_of_basis(X0)) ) ).

cnf(u7211,axiom,
    ( element_of_set(X2,f10(X0,f1(top_of_basis(X0),f19(union_of_members(top_of_basis(X0)),X1)),X2))
    | ~ topological_space(union_of_members(top_of_basis(X0)),X1)
    | ~ element_of_set(X2,f1(top_of_basis(X0),f19(union_of_members(top_of_basis(X0)),X1)))
    | hausdorff(union_of_members(top_of_basis(X0)),X1) ) ).

cnf(u6842,negated_conjecture,
    ( closed(f14(X2,X3,X4,f11(X5,f14(closure(X2,X3,X4),X0,X1,X6))),X3,X4)
    | ~ subset_sets(closure(X2,X3,X4),sF1)
    | ~ subset_sets(closure(X2,X3,X4),X0)
    | ~ element_of_collection(closure(X2,X3,X4),X5)
    | element_of_collection(f14(closure(X2,X3,X4),X0,X1,X6),top_of_basis(X5))
    | ~ closed(sF1,X0,X1)
    | ~ subset_sets(X2,X3)
    | ~ topological_space(X3,X4) ) ).

cnf(u3613,axiom,
    ( ~ closed(f16(X4,X5,X6,X7),X2,X3)
    | element_of_collection(boundary(X1,X2,X3),top_of_basis(X0))
    | ~ subset_sets(X1,f16(X4,X5,X6,X7))
    | ~ topological_space(X6,X7)
    | ~ subset_sets(X5,X6)
    | limit_point(X4,X5,X6,X7)
    | element_of_set(f11(X0,boundary(X1,X2,X3)),union_of_members(X7)) ) ).

cnf(u9902,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X0,X1,X2),f10(X3,closure(X4,X5,X6),X7)),f10(X3,closure(X4,X5,X6),X7))
    | topological_space(X0,X1)
    | element_of_set(f11(X3,closure(X4,X5,X6)),sF0)
    | ~ element_of_set(X7,closure(X4,X5,X6))
    | ~ closed(a,X5,X6)
    | ~ subset_sets(X4,a) ) ).

cnf(u4110,axiom,
    ( ~ topological_space(X3,X4)
    | element_of_set(f11(subspace_topology(X1,X2,X0),X3),X3)
    | basis(X3,X4)
    | subset_sets(X0,X1) ) ).

cnf(u9617,negated_conjecture,
    ( element_of_set(f11(X3,f13(a,cx,X0,f11(subspace_topology(X2,X4,X1),interior(a,cx,X0)))),interior(a,cx,X0))
    | ~ topological_space(cx,X0)
    | subset_sets(X1,X2)
    | element_of_set(f11(X0,a),sF0)
    | element_of_collection(f13(a,cx,X0,f11(subspace_topology(X2,X4,X1),interior(a,cx,X0))),top_of_basis(X3)) ) ).

cnf(u9476,negated_conjecture,
    ( element_of_set(f11(X2,f13(a,cx,X1,X0)),union_of_members(X1))
    | ~ topological_space(cx,X1)
    | element_of_set(f11(X1,a),sF0)
    | ~ element_of_set(X0,a)
    | element_of_collection(f13(a,cx,X1,X0),top_of_basis(X2)) ) ).

cnf(u10900,negated_conjecture,
    ( basis(closure(X0,X1,X2),X3)
    | ~ closed(sF1,X1,X2) ) ).

cnf(u9839,axiom,
    ( element_of_collection(f12(X1,X2,X0,empty_set),X2)
    | ~ compact_set(X0,X1,X2) ) ).

cnf(u3832,axiom,
    ( ~ closed(f1(X1,X3),X5,X6)
    | ~ subset_sets(X2,X0)
    | limit_point(X3,X2,X0,X1)
    | element_of_set(f20(closure(X4,X5,X6),X7),union_of_members(X1))
    | hausdorff(closure(X4,X5,X6),X7)
    | ~ subset_sets(X4,f1(X1,X3))
    | ~ topological_space(X0,X1)
    | ~ topological_space(closure(X4,X5,X6),X7) ) ).

cnf(u8037,axiom,
    ( ~ element_of_set(X5,f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))))
    | ~ element_of_set(X4,interior(X0,X1,X2))
    | element_of_set(X4,f10(X3,interior(X0,X1,X2),X4))
    | element_of_set(X5,interior(X0,X1,X2)) ) ).

cnf(u1335,negated_conjecture,
    ( ~ equal_sets(union_of_members(ct),X0)
    | ~ element_of_collection(X0,ct)
    | topological_space(X0,ct)
    | subset_collections(f5(X0,ct),ct) ) ).

cnf(boundary_71,axiom,
    ( element_of_set(X0,closure(relative_complement_sets(X1,X2),X2,X3))
    | ~ element_of_set(X0,boundary(X1,X2,X3)) ) ).

cnf(u203,axiom,
    ( ~ subset_sets(relative_complement_sets(X0,X1),X3)
    | ~ subset_sets(X3,X1)
    | ~ element_of_set(X4,relative_complement_sets(X0,X1))
    | ~ closed(X0,X1,X2)
    | element_of_set(X4,interior(X3,X1,X2)) ) ).

cnf(u6822,negated_conjecture,
    ( element_of_set(X5,interior(f14(relative_complement_sets(X2,X3),X0,X1,X4),X3,X6))
    | ~ subset_sets(relative_complement_sets(X2,X3),sF1)
    | ~ subset_sets(relative_complement_sets(X2,X3),X0)
    | ~ subset_sets(f14(relative_complement_sets(X2,X3),X0,X1,X4),X3)
    | ~ element_of_set(X5,relative_complement_sets(X2,X3))
    | ~ closed(X2,X3,X6)
    | ~ closed(sF1,X0,X1) ) ).

cnf(u10497,negated_conjecture,
    ( element_of_set(X0,f13(a,cx,X1,X0))
    | ~ element_of_set(X0,a) ) ).

cnf(u914,negated_conjecture,
    ( element_of_set(X8,interior(f14(f13(X1,X2,X3,f11(X6,closure(X0,X4,X5))),cx,ct,X7),X2,X3))
    | element_of_collection(closure(X0,X4,X5),top_of_basis(X6))
    | ~ subset_sets(f14(f13(X1,X2,X3,f11(X6,closure(X0,X4,X5))),cx,ct,X7),X2)
    | ~ element_of_set(X8,f13(X1,X2,X3,f11(X6,closure(X0,X4,X5))))
    | ~ closed(interior(X1,X2,X3),X4,X5)
    | ~ subset_sets(X0,interior(X1,X2,X3))
    | ~ subset_sets(f13(X1,X2,X3,f11(X6,closure(X0,X4,X5))),a)
    | ~ subset_sets(f13(X1,X2,X3,f11(X6,closure(X0,X4,X5))),cx)
    | element_of_set(X7,a) ) ).

cnf(u173,axiom,
    ( ~ subset_sets(X0,f13(a,cx,ct,X3))
    | ~ topological_space(a,X1)
    | ~ element_of_set(X2,X0)
    | ~ element_of_collection(X0,X1)
    | element_of_set(X2,interior(f13(a,cx,ct,X3),a,X1))
    | ~ element_of_set(X3,sF0) ) ).

cnf(u3159,axiom,
    ( element_of_set(f11(subspace_topology(X1,X2,X0),closure(X3,X4,X5)),X6)
    | subset_sets(X3,f14(X3,X4,X5,X7))
    | ~ closed(X6,X4,X5)
    | ~ subset_sets(X3,X6)
    | subset_sets(X0,X1)
    | ~ subset_sets(X3,X4) ) ).

cnf(u4077,axiom,
    ( ~ closed(f13(a,cx,ct,f19(sF0,X0)),X3,X4)
    | ~ topological_space(sF0,X0)
    | element_of_set(f11(X1,boundary(X2,X3,X4)),union_of_members(ct))
    | element_of_collection(boundary(X2,X3,X4),top_of_basis(X1))
    | hausdorff(sF0,X0)
    | ~ subset_sets(X2,f13(a,cx,ct,f19(sF0,X0))) ) ).

cnf(u804,axiom,
    ( ~ subset_sets(X4,closure(X1,X2,X3))
    | ~ closed(X4,X2,X3)
    | ~ subset_sets(X1,X4)
    | ~ element_of_collection(X4,X0)
    | element_of_collection(closure(X1,X2,X3),top_of_basis(X0)) ) ).

cnf(u530,axiom,
    ( closed(f14(relative_complement_sets(X0,X1),X1,X2,f7(closure(X0,X1,X2),X3)),X1,X2)
    | element_of_set(f7(closure(X0,X1,X2),X3),boundary(X0,X1,X2))
    | ~ subset_sets(relative_complement_sets(X0,X1),X1)
    | basis(closure(X0,X1,X2),X3)
    | ~ topological_space(closure(X0,X1,X2),X3) ) ).

cnf(u936,negated_conjecture,
    ( element_of_set(f11(X0,f13(a,cx,ct,f11(X1,sF0))),sF0)
    | element_of_collection(sF0,top_of_basis(X1))
    | element_of_collection(f13(a,cx,ct,f11(X1,sF0)),top_of_basis(X0)) ) ).

cnf(u1474,axiom,
    ( element_of_set(f15(X0,X1,X2,X3,X4),f6(X5,X6,f15(X0,X1,X2,X3,X4),X4,X1))
    | ~ element_of_collection(X4,X6)
    | ~ element_of_collection(X1,X6)
    | ~ basis(X5,X6)
    | ~ element_of_set(f15(X0,X1,X2,X3,X4),X5)
    | ~ neighborhood(X4,X0,X2,X3)
    | ~ limit_point(X0,X1,X2,X3) ) ).

cnf(u4002,axiom,
    ( element_of_set(f15(X3,X2,X4,X5,X1),union_of_members(top_of_basis(X0)))
    | element_of_set(f11(X0,intersection_of_sets(X1,X2)),intersection_of_sets(X1,X2))
    | ~ neighborhood(X1,X3,X4,X5)
    | ~ limit_point(X3,X2,X4,X5) ) ).

cnf(u11969,axiom,
    ~ element_of_set(X0,X1) ).

cnf(u3924,negated_conjecture,
    ( ~ element_of_set(X1,union_of_members(f24(X0,ct)))
    | compact_space(X0,ct)
    | ~ topological_space(X0,ct)
    | element_of_set(X1,union_of_members(ct)) ) ).

cnf(u627,axiom,
    ( element_of_set(f19(intersection_of_members(X1),X2),X0)
    | ~ element_of_collection(X0,X1)
    | ~ topological_space(intersection_of_members(X1),X2)
    | hausdorff(intersection_of_members(X1),X2) ) ).

cnf(u11875,negated_conjecture,
    ( element_of_set(f11(X5,interior(a,sF0,X6)),interior(a,sF0,X6))
    | element_of_set(f15(X1,X4,X2,X3,X0),union_of_members(top_of_basis(X5)))
    | ~ neighborhood(X0,X1,X2,X3) ) ).

cnf(u873,axiom,
    ( element_of_set(f19(closure(X3,X1,X2),X5),union_of_members(top_of_basis(X4)))
    | element_of_set(f11(X4,closure(X3,X1,X2)),X0)
    | ~ subset_sets(X3,X0)
    | ~ closed(X0,X1,X2)
    | ~ topological_space(closure(X3,X1,X2),X5)
    | hausdorff(closure(X3,X1,X2),X5) ) ).

cnf(u7698,negated_conjecture,
    ( ~ element_of_set(X2,f13(a,cx,X1,X0))
    | element_of_set(f11(X1,a),a)
    | ~ element_of_set(X0,a)
    | ~ topological_space(cx,X1)
    | element_of_set(X2,interior(a,cx,X1)) ) ).

cnf(u1021,negated_conjecture,
    ( element_of_set(f19(sF1,X0),f14(a,cx,ct,X1))
    | hausdorff(sF1,X0)
    | element_of_set(X1,sF1)
    | ~ topological_space(sF1,X0) ) ).

cnf(u7517,axiom,
    ( element_of_set(f11(X0,closure(X1,X2,X3)),union_of_members(top_of_basis(X6)))
    | element_of_set(X4,f10(X0,closure(X1,X2,X3),X4))
    | element_of_set(f11(X6,closure(X1,X2,X3)),X5)
    | ~ subset_sets(X1,X5)
    | ~ closed(X5,X2,X3)
    | ~ element_of_set(X4,closure(X1,X2,X3)) ) ).

cnf(u3996,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X1,X2,X3),sF1),union_of_members(top_of_basis(X0)))
    | element_of_set(f11(X0,sF1),sF1)
    | topological_space(X1,X2) ) ).

cnf(u768,axiom,
    ( element_of_collection(boundary(X1,X2,X3),top_of_basis(X0))
    | topological_space(X2,X3) ) ).

cnf(u3618,axiom,
    ( ~ closed(f22(X4,X5),X2,X3)
    | element_of_collection(boundary(X1,X2,X3),top_of_basis(X0))
    | ~ subset_sets(X1,f22(X4,X5))
    | ~ topological_space(X4,X5)
    | connected_space(X4,X5)
    | element_of_set(f11(X0,boundary(X1,X2,X3)),union_of_members(X5)) ) ).

cnf(u4024,axiom,
    ( ~ topological_space(closure(X2,X3,X4),X5)
    | element_of_set(f20(closure(X2,X3,X4),X5),union_of_members(top_of_basis(X0)))
    | hausdorff(closure(X2,X3,X4),X5)
    | ~ subset_sets(X2,X1)
    | ~ closed(X1,X3,X4)
    | element_of_set(f11(X0,X1),X1) ) ).

cnf(u466,negated_conjecture,
    ( element_of_set(X5,interior(f14(f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),cx,ct,X4),X1,X2))
    | ~ subset_sets(f14(f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),cx,ct,X4),X1)
    | ~ element_of_set(X5,f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)))
    | hausdorff(interior(X0,X1,X2),X3)
    | ~ topological_space(interior(X0,X1,X2),X3)
    | ~ subset_sets(f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),a)
    | ~ subset_sets(f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),cx)
    | element_of_set(X4,a) ) ).

cnf(u4118,axiom,
    ( ~ closed(X3,X6,X7)
    | element_of_set(f11(subspace_topology(X1,X2,X0),X3),X3)
    | element_of_collection(closure(X5,X6,X7),top_of_basis(X4))
    | subset_sets(X0,X1)
    | ~ subset_sets(X5,X3) ) ).

cnf(u9823,axiom,
    ( element_of_set(X7,f10(X2,f13(X0,X1,top_of_basis(X2),f7(closure(X5,X3,X4),X6)),X7))
    | basis(closure(X5,X3,X4),X6)
    | ~ topological_space(closure(X5,X3,X4),X6)
    | ~ subset_sets(X5,interior(X0,X1,top_of_basis(X2)))
    | ~ element_of_set(X7,f13(X0,X1,top_of_basis(X2),f7(closure(X5,X3,X4),X6)))
    | ~ closed(interior(X0,X1,top_of_basis(X2)),X3,X4) ) ).

cnf(u9723,negated_conjecture,
    ( ~ subset_sets(interior(a,cx,X2),X1)
    | ~ element_of_set(f11(X0,X1),a)
    | element_of_set(f11(X3,a),a)
    | ~ topological_space(cx,X2)
    | element_of_collection(X1,top_of_basis(X0))
    | ~ element_of_collection(interior(a,cx,X2),X0)
    | element_of_set(f11(X2,a),union_of_members(top_of_basis(X3))) ) ).

cnf(u3961,axiom,
    ( element_of_set(f11(X0,closure(X1,X2,X3)),closure(X1,X2,X3))
    | subset_sets(X1,f14(X1,X2,X3,X4))
    | element_of_set(X4,union_of_members(top_of_basis(X0)))
    | ~ subset_sets(X1,X2)
    | ~ topological_space(X2,X3) ) ).

cnf(u3735,axiom,
    ( element_of_set(f11(subspace_topology(X0,X1,X2),closure(X3,X4,X5)),X6)
    | subset_sets(X3,f14(X3,X4,X5,X7))
    | ~ closed(X6,X4,X5)
    | ~ subset_sets(X3,X6)
    | topological_space(X0,X1)
    | ~ subset_sets(X3,X4) ) ).

cnf(u7367,axiom,
    ( ~ closed(f9(X0,X1),X4,X5)
    | basis(X0,X1)
    | element_of_set(f11(X2,closure(X3,X4,X5)),union_of_members(X1))
    | element_of_collection(closure(X3,X4,X5),top_of_basis(X2))
    | ~ topological_space(X0,X1)
    | ~ subset_sets(X3,f9(X0,X1)) ) ).

cnf(u7524,axiom,
    ( element_of_set(f11(X0,f16(X1,X2,X3,X4)),union_of_members(X4))
    | element_of_set(X5,f10(X0,f16(X1,X2,X3,X4),X5))
    | ~ topological_space(X3,X4)
    | ~ subset_sets(X2,X3)
    | limit_point(X1,X2,X3,X4)
    | ~ element_of_set(X5,f16(X1,X2,X3,X4)) ) ).

cnf(separation_82,axiom,
    ( ~ separation(X0,X1,X2,X3)
    | ~ equal_sets(X0,empty_set) ) ).

cnf(u756,axiom,
    ( element_of_set(f11(X0,f13(a,cx,ct,X1)),union_of_members(ct))
    | element_of_collection(f13(a,cx,ct,X1),top_of_basis(X0))
    | ~ element_of_set(X1,sF0) ) ).

cnf(u9944,axiom,
    ( ~ element_of_set(X8,closure(X5,X6,X7))
    | element_of_set(f11(subspace_topology(X0,X1,X2),X3),X3)
    | element_of_set(X8,f10(X4,closure(X5,X6,X7),X8))
    | topological_space(X0,X1)
    | ~ closed(X3,X6,X7)
    | ~ subset_sets(X5,X3) ) ).

cnf(u7452,axiom,
    ( element_of_set(f20(f8(X0,X1),X2),union_of_members(X1))
    | basis(X0,X1)
    | ~ topological_space(X0,X1)
    | ~ topological_space(f8(X0,X1),X2)
    | hausdorff(f8(X0,X1),X2) ) ).

cnf(u8150,negated_conjecture,
    ( ~ subset_sets(sF0,f13(a,cx,ct,f19(sF0,X0)))
    | ~ element_of_collection(sF0,X1)
    | ~ element_of_set(f19(sF0,X0),a)
    | ~ topological_space(sF0,X0)
    | ~ topological_space(cx,top_of_basis(X1))
    | ~ element_of_set(X2,f13(a,cx,ct,f19(sF0,X0)))
    | hausdorff(sF0,X0)
    | element_of_set(X2,interior(a,cx,top_of_basis(X1))) ) ).

cnf(u425,negated_conjecture,
    ( element_of_set(f19(f1(ct,X0),X1),union_of_members(ct))
    | ~ element_of_set(X0,cx)
    | ~ topological_space(f1(ct,X0),X1)
    | hausdorff(f1(ct,X0),X1) ) ).

cnf(u963,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,f11(X4,sF0)),X1,X2)
    | ~ subset_sets(X0,f13(a,cx,ct,f11(X4,sF0)))
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | element_of_set(f19(closure(X0,X1,X2),X3),sF0)
    | element_of_collection(sF0,top_of_basis(X4)) ) ).

cnf(u4103,axiom,
    ( element_of_set(f11(subspace_topology(X1,X2,X0),closure(X3,X4,X5)),closure(X3,X4,X5))
    | closed(f14(X3,X4,X5,X6),X4,X5)
    | subset_sets(X0,X1)
    | ~ subset_sets(X3,X4)
    | ~ topological_space(X4,X5) ) ).

cnf(u7069,axiom,
    ( ~ closed(closure(X4,X5,X6),X2,X3)
    | ~ element_of_set(X7,closure(X1,X2,X3))
    | element_of_set(X7,f10(X0,closure(X1,X2,X3),X7))
    | ~ subset_sets(X1,closure(X4,X5,X6))
    | topological_space(X8,X9)
    | element_of_set(f11(subspace_topology(X8,X9,X10),closure(X4,X5,X6)),X11)
    | ~ closed(X11,X5,X6)
    | ~ subset_sets(X4,X11) ) ).

cnf(u9560,negated_conjecture,
    ( element_of_set(X5,interior(f14(f13(a,cx,X0,f11(subspace_topology(X1,X2,X3),interior(a,cx,X0))),cx,ct,X4),cx,X0))
    | element_of_set(f11(X0,a),a)
    | ~ subset_sets(f14(f13(a,cx,X0,f11(subspace_topology(X1,X2,X3),interior(a,cx,X0))),cx,ct,X4),cx)
    | ~ element_of_set(X5,f13(a,cx,X0,f11(subspace_topology(X1,X2,X3),interior(a,cx,X0))))
    | subset_sets(X3,X1)
    | ~ topological_space(cx,X0)
    | ~ subset_sets(f13(a,cx,X0,f11(subspace_topology(X1,X2,X3),interior(a,cx,X0))),cx)
    | element_of_set(X4,a) ) ).

cnf(u1668,axiom,
    ( ~ subset_sets(X7,f13(X1,X2,X3,f7(closure(X0,X4,X5),X6)))
    | ~ closed(interior(X1,X2,X3),X4,X5)
    | basis(closure(X0,X4,X5),X6)
    | ~ topological_space(closure(X0,X4,X5),X6)
    | ~ element_of_collection(X7,X8)
    | ~ topological_space(X1,X8)
    | ~ element_of_set(X9,X7)
    | ~ subset_sets(X0,interior(X1,X2,X3))
    | element_of_set(X9,interior(f13(X1,X2,X3,f7(closure(X0,X4,X5),X6)),X1,X8)) ) ).

cnf(u7480,axiom,
    ( open(f13(X1,X2,X3,f11(X0,interior(X1,X2,X3))),X2,X3)
    | element_of_set(X4,f10(X0,interior(X1,X2,X3),X4))
    | ~ element_of_set(X4,interior(X1,X2,X3)) ) ).

cnf(u6997,axiom,
    ( element_of_set(X0,f10(X2,f8(X1,top_of_basis(X2)),X0))
    | ~ element_of_set(X0,f8(X1,top_of_basis(X2)))
    | basis(X1,top_of_basis(X2))
    | ~ topological_space(X1,top_of_basis(X2)) ) ).

cnf(limit_point_67,axiom,
    ( neighborhood(f16(X0,X1,X2,X3),X0,X2,X3)
    | ~ topological_space(X2,X3)
    | ~ subset_sets(X1,X2)
    | limit_point(X0,X1,X2,X3) ) ).

cnf(u9845,negated_conjecture,
    ( element_of_collection(f13(a,cx,X0,f20(f13(a,cx,X0,X1),X2)),X0)
    | element_of_set(f11(X0,a),a)
    | ~ topological_space(f13(a,cx,X0,X1),X2)
    | hausdorff(f13(a,cx,X0,X1),X2)
    | ~ element_of_set(X1,a)
    | ~ topological_space(cx,X0) ) ).

cnf(u9399,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X0,X1,cx),a),sF0)
    | element_of_set(X2,f1(subspace_topology(X0,X1,cx),X2))
    | ~ element_of_set(X2,a)
    | ~ compact_set(cx,X0,X1) ) ).

cnf(u6925,axiom,
    ( ~ element_of_set(X4,f1(top_of_basis(subspace_topology(X0,X1,X2)),f20(union_of_members(top_of_basis(subspace_topology(X0,X1,X2))),X3)))
    | ~ topological_space(union_of_members(top_of_basis(subspace_topology(X0,X1,X2))),X3)
    | hausdorff(union_of_members(top_of_basis(subspace_topology(X0,X1,X2))),X3)
    | subset_sets(X2,X0) ) ).

cnf(u1184,negated_conjecture,
    ( element_of_set(f20(sF1,X2),f14(a,cx,ct,f11(X0,X1)))
    | element_of_collection(X1,top_of_basis(X0))
    | ~ subset_sets(sF1,X1)
    | hausdorff(sF1,X2)
    | ~ element_of_collection(sF1,X0)
    | ~ topological_space(sF1,X2) ) ).

cnf(u926,negated_conjecture,
    ( ~ element_of_collection(f13(a,X0,X1,f11(X2,interior(a,X0,X1))),X3)
    | ~ topological_space(cx,X3)
    | ~ element_of_set(X4,f13(a,X0,X1,f11(X2,interior(a,X0,X1))))
    | element_of_collection(interior(a,X0,X1),top_of_basis(X2))
    | element_of_set(X4,interior(a,cx,X3)) ) ).

cnf(u3678,axiom,
    ( ~ element_of_set(X9,f13(X1,X2,top_of_basis(subspace_topology(X3,X4,X5)),f11(X8,boundary(X0,X6,X7))))
    | element_of_collection(boundary(X0,X6,X7),top_of_basis(X8))
    | ~ closed(interior(X1,X2,top_of_basis(subspace_topology(X3,X4,X5))),X6,X7)
    | ~ subset_sets(X0,interior(X1,X2,top_of_basis(subspace_topology(X3,X4,X5))))
    | subset_sets(X5,X3) ) ).

cnf(u1647,axiom,
    ( ~ closed(X1,cx,ct)
    | ~ topological_space(sF1,X0)
    | ~ subset_sets(a,X1)
    | element_of_set(f7(sF1,X0),X1)
    | basis(sF1,X0) ) ).

cnf(u8028,axiom,
    ( element_of_set(f11(subspace_topology(X6,X7,X5),f10(X1,interior(X2,X3,X4),X0)),f10(X1,interior(X2,X3,X4),X0))
    | subset_sets(f13(X2,X3,X4,f11(X1,interior(X2,X3,X4))),X2)
    | subset_sets(X5,X6)
    | ~ element_of_set(X0,interior(X2,X3,X4)) ) ).

cnf(u3641,negated_conjecture,
    ( element_of_set(f7(f13(a,cx,ct,f11(X3,boundary(X0,X1,X2))),X4),sF0)
    | ~ closed(sF0,X1,X2)
    | element_of_collection(boundary(X0,X1,X2),top_of_basis(X3))
    | ~ subset_sets(X0,sF0)
    | basis(f13(a,cx,ct,f11(X3,boundary(X0,X1,X2))),X4)
    | ~ topological_space(f13(a,cx,ct,f11(X3,boundary(X0,X1,X2))),X4) ) ).

cnf(u1107,axiom,
    ( element_of_set(f11(X2,f21(X0,X1)),union_of_members(X1))
    | connected_space(X0,X1)
    | ~ topological_space(X0,X1)
    | element_of_collection(f21(X0,X1),top_of_basis(X2)) ) ).

cnf(u757,negated_conjecture,
    ( element_of_set(f11(X0,f13(a,cx,ct,X1)),sF0)
    | element_of_collection(f13(a,cx,ct,X1),top_of_basis(X0))
    | ~ element_of_set(X1,sF0) ) ).

cnf(u800,axiom,
    ( element_of_set(f11(X0,closure(X1,X2,X3)),closure(X4,X5,X6))
    | ~ closed(boundary(X4,X5,X6),X2,X3)
    | ~ subset_sets(X1,boundary(X4,X5,X6))
    | element_of_collection(closure(X1,X2,X3),top_of_basis(X0)) ) ).

cnf(u9513,negated_conjecture,
    ( element_of_set(X4,interior(a,cx,subspace_topology(X2,X3,f13(a,cx,X1,X0))))
    | element_of_set(f11(X1,a),sF0)
    | ~ topological_space(cx,subspace_topology(X2,X3,f13(a,cx,X1,X0)))
    | ~ element_of_set(X4,f13(a,cx,X1,X0))
    | ~ topological_space(cx,X1)
    | ~ element_of_set(X0,a)
    | ~ compact_set(f13(a,cx,X1,X0),X2,X3) ) ).

cnf(u196,negated_conjecture,
    ( ~ subset_sets(a,f14(X0,cx,ct,X1))
    | ~ subset_sets(X0,cx)
    | element_of_set(X1,closure(X0,cx,ct))
    | ~ element_of_set(X2,sF1)
    | element_of_set(X2,f14(X0,cx,ct,X1)) ) ).

cnf(u639,negated_conjecture,
    ( ~ closed(intersection_of_sets(X4,X5),X1,X2)
    | ~ subset_sets(X0,intersection_of_sets(X4,X5))
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | element_of_set(f20(closure(X0,X1,X2),X3),union_of_members(ct))
    | ~ element_of_collection(X5,ct)
    | ~ element_of_collection(X4,ct) ) ).

cnf(u9653,negated_conjecture,
    ( ~ subset_sets(f14(f13(a,cx,X0,f11(subspace_topology(X1,X2,X3),interior(a,cx,X0))),cx,ct,X4),cx)
    | ~ topological_space(cx,X0)
    | element_of_set(f11(X0,a),sF0)
    | ~ element_of_set(X5,f13(a,cx,X0,f11(subspace_topology(X1,X2,X3),interior(a,cx,X0))))
    | subset_sets(X3,X1)
    | element_of_set(X5,interior(f14(f13(a,cx,X0,f11(subspace_topology(X1,X2,X3),interior(a,cx,X0))),cx,ct,X4),cx,X0))
    | element_of_set(X4,f14(f13(a,cx,X0,f11(subspace_topology(X1,X2,X3),interior(a,cx,X0))),cx,ct,X6))
    | element_of_set(X6,a)
    | ~ subset_sets(f13(a,cx,X0,f11(subspace_topology(X1,X2,X3),interior(a,cx,X0))),cx) ) ).

cnf(u885,axiom,
    ( ~ element_of_set(f7(X0,X1),f13(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2,X3,f11(X7,closure(X6,X4,X5))))
    | ~ subset_sets(X6,interior(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2,X3))
    | element_of_collection(closure(X6,X4,X5),top_of_basis(X7))
    | ~ equal_sets(union_of_members(X1),X0)
    | ~ closed(interior(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2,X3),X4,X5)
    | ~ element_of_collection(f13(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2,X3,f11(X7,closure(X6,X4,X5))),X1)
    | basis(X0,X1) ) ).

cnf(u399,axiom,
    ( ~ topological_space(X2,X1)
    | ~ topological_space(X0,X1)
    | compact_space(X0,X1)
    | element_of_collection(union_of_members(f24(X0,X1)),X1) ) ).

cnf(u1669,axiom,
    ( ~ element_of_set(f7(X1,X2),f13(intersection_of_sets(f8(X1,X2),f9(X1,X2)),X3,X4,f7(closure(X0,X5,X6),X7)))
    | ~ closed(interior(intersection_of_sets(f8(X1,X2),f9(X1,X2)),X3,X4),X5,X6)
    | basis(closure(X0,X5,X6),X7)
    | ~ topological_space(closure(X0,X5,X6),X7)
    | ~ equal_sets(union_of_members(X2),X1)
    | ~ subset_sets(X0,interior(intersection_of_sets(f8(X1,X2),f9(X1,X2)),X3,X4))
    | ~ element_of_collection(f13(intersection_of_sets(f8(X1,X2),f9(X1,X2)),X3,X4,f7(closure(X0,X5,X6),X7)),X2)
    | basis(X1,X2) ) ).

cnf(u9574,negated_conjecture,
    ( ~ closed(f13(a,cx,X0,f11(subspace_topology(X2,X7,X1),interior(a,cx,X0))),X5,X6)
    | ~ topological_space(cx,X0)
    | subset_sets(X1,X2)
    | element_of_set(f11(X3,boundary(X4,X5,X6)),interior(a,cx,X0))
    | element_of_collection(boundary(X4,X5,X6),top_of_basis(X3))
    | element_of_set(f11(X0,a),a)
    | ~ subset_sets(X4,f13(a,cx,X0,f11(subspace_topology(X2,X7,X1),interior(a,cx,X0)))) ) ).

cnf(u4083,axiom,
    ( element_of_set(f19(sF0,X0),union_of_members(ct))
    | ~ topological_space(sF0,X0)
    | hausdorff(sF0,X0) ) ).

cnf(u1760,axiom,
    ( ~ closed(X1,X2,top_of_basis(subspace_topology(X4,X5,X3)))
    | subset_sets(X3,X4)
    | ~ element_of_set(X0,relative_complement_sets(X1,X2)) ) ).

cnf(u7054,axiom,
    ( ~ closed(f13(X4,X5,X6,f11(X7,interior(X4,X5,X6))),X2,X3)
    | ~ element_of_set(X8,closure(X1,X2,X3))
    | element_of_set(X8,f10(X0,closure(X1,X2,X3),X8))
    | ~ subset_sets(X1,f13(X4,X5,X6,f11(X7,interior(X4,X5,X6))))
    | element_of_collection(interior(X4,X5,X6),top_of_basis(X7))
    | element_of_set(f11(X0,closure(X1,X2,X3)),interior(X4,X5,X6)) ) ).

cnf(u478,axiom,
    ( equal_sets(union_of_members(f24(X0,X1)),X0)
    | ~ topological_space(X0,X1)
    | compact_space(X0,X1) ) ).

cnf(u11451,axiom,
    ( element_of_set(f19(X0,X1),interior(X2,X3,X4))
    | hausdorff(X0,X1) ) ).

cnf(u10504,negated_conjecture,
    ( element_of_set(f11(X1,interior(a,cx,X2)),interior(a,cx,X2))
    | element_of_set(X0,union_of_members(top_of_basis(X1)))
    | ~ element_of_set(X0,a) ) ).

cnf(u1294,negated_conjecture,
    ( ~ subset_sets(f14(a,cx,ct,X1),sF1)
    | ~ element_of_set(X2,sF1)
    | element_of_set(X1,sF1)
    | ~ element_of_collection(f14(a,cx,ct,X1),X0)
    | element_of_set(X2,union_of_members(top_of_basis(X0))) ) ).

cnf(u620,axiom,
    ( element_of_set(f7(relative_complement_sets(X0,X1),X2),union_of_members(X3))
    | ~ closed(X0,X1,X3)
    | basis(relative_complement_sets(X0,X1),X2)
    | ~ topological_space(relative_complement_sets(X0,X1),X2) ) ).

cnf(u3066,axiom,
    ( subset_collections(f5(intersection_of_sets(X0,f12(X1,X2,X0,union_of_members(X3))),X3),X3)
    | ~ element_of_collection(empty_set,X3)
    | ~ element_of_collection(intersection_of_sets(X0,f12(X1,X2,X0,union_of_members(X3))),X3)
    | element_of_collection(f4(intersection_of_sets(X0,f12(X1,X2,X0,union_of_members(X3))),X3),X3)
    | topological_space(intersection_of_sets(X0,f12(X1,X2,X0,union_of_members(X3))),X3)
    | ~ element_of_collection(union_of_members(X3),subspace_topology(X1,X2,X0)) ) ).

cnf(u752,axiom,
    ( open(f13(X1,X2,X3,f11(X0,interior(X1,X2,X3))),X2,X3)
    | element_of_collection(interior(X1,X2,X3),top_of_basis(X0)) ) ).

cnf(u1026,negated_conjecture,
    ( ~ subset_sets(f14(f13(X0,X1,X2,f19(closure(X5,X3,X4),X6)),cx,ct,X7),X1)
    | ~ topological_space(closure(X5,X3,X4),X6)
    | hausdorff(closure(X5,X3,X4),X6)
    | ~ closed(interior(X0,X1,X2),X3,X4)
    | ~ element_of_set(X8,f13(X0,X1,X2,f19(closure(X5,X3,X4),X6)))
    | ~ subset_sets(X5,interior(X0,X1,X2))
    | element_of_set(X8,interior(f14(f13(X0,X1,X2,f19(closure(X5,X3,X4),X6)),cx,ct,X7),X1,X2))
    | element_of_set(X7,f14(f13(X0,X1,X2,f19(closure(X5,X3,X4),X6)),cx,ct,X9))
    | ~ subset_sets(f13(X0,X1,X2,f19(closure(X5,X3,X4),X6)),a)
    | element_of_set(X9,a)
    | ~ subset_sets(f13(X0,X1,X2,f19(closure(X5,X3,X4),X6)),cx) ) ).

cnf(u4074,axiom,
    ( ~ closed(f13(a,cx,ct,f19(sF0,X0)),X2,X3)
    | ~ topological_space(sF0,X0)
    | element_of_set(f7(closure(X1,X2,X3),X4),union_of_members(ct))
    | ~ topological_space(closure(X1,X2,X3),X4)
    | ~ subset_sets(X1,f13(a,cx,ct,f19(sF0,X0)))
    | hausdorff(sF0,X0)
    | basis(closure(X1,X2,X3),X4) ) ).

cnf(u6840,negated_conjecture,
    ( element_of_set(X10,interior(f14(f13(X2,X3,X4,f20(closure(X5,X6,X7),X8)),X0,X1,X9),X3,X4))
    | ~ subset_sets(f13(X2,X3,X4,f20(closure(X5,X6,X7),X8)),sF1)
    | ~ subset_sets(f13(X2,X3,X4,f20(closure(X5,X6,X7),X8)),X0)
    | ~ closed(interior(X2,X3,X4),X6,X7)
    | ~ topological_space(closure(X5,X6,X7),X8)
    | hausdorff(closure(X5,X6,X7),X8)
    | ~ subset_sets(f14(f13(X2,X3,X4,f20(closure(X5,X6,X7),X8)),X0,X1,X9),X3)
    | ~ element_of_set(X10,f13(X2,X3,X4,f20(closure(X5,X6,X7),X8)))
    | ~ subset_sets(X5,interior(X2,X3,X4))
    | ~ closed(sF1,X0,X1) ) ).

cnf(u289,axiom,
    ( element_of_set(f19(closure(X0,X1,X2),X3),X4)
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ subset_sets(X0,X4)
    | ~ closed(X4,X1,X2)
    | ~ topological_space(closure(X0,X1,X2),X3) ) ).

cnf(u7691,negated_conjecture,
    ( element_of_set(X8,interior(f14(f13(a,cx,X1,X0),X2,X3,f11(X4,f14(closure(f13(a,cx,X1,X0),X2,X3),X5,X6,X7))),cx,X1))
    | element_of_set(f11(X1,a),a)
    | ~ subset_sets(f14(f13(a,cx,X1,X0),X2,X3,f11(X4,f14(closure(f13(a,cx,X1,X0),X2,X3),X5,X6,X7))),cx)
    | ~ element_of_set(X8,f13(a,cx,X1,X0))
    | ~ topological_space(cx,X1)
    | ~ element_of_set(X0,a)
    | element_of_collection(f14(closure(f13(a,cx,X1,X0),X2,X3),X5,X6,X7),top_of_basis(X4))
    | ~ element_of_collection(closure(f13(a,cx,X1,X0),X2,X3),X4)
    | ~ subset_sets(f13(a,cx,X1,X0),X2)
    | ~ topological_space(X2,X3)
    | element_of_set(X7,closure(closure(f13(a,cx,X1,X0),X2,X3),X5,X6))
    | ~ subset_sets(closure(f13(a,cx,X1,X0),X2,X3),X5)
    | ~ topological_space(X5,X6) ) ).

cnf(u437,axiom,
    ( element_of_collection(f12(X0,X1,X2,f9(X3,subspace_topology(X0,X1,X2))),X1)
    | basis(X3,subspace_topology(X0,X1,X2))
    | ~ topological_space(X3,subspace_topology(X0,X1,X2)) ) ).

cnf(u7124,axiom,
    ( ~ element_of_set(X8,f13(X0,X1,X2,f11(X3,closure(X4,X5,X6))))
    | ~ closed(interior(X0,X1,X2),X5,X6)
    | ~ subset_sets(X4,interior(X0,X1,X2))
    | ~ element_of_set(X7,closure(X4,X5,X6))
    | element_of_set(X7,f10(X3,closure(X4,X5,X6),X7))
    | element_of_set(X8,interior(X0,X1,X2)) ) ).

cnf(u1221,axiom,
    ( basis(interior(X0,X1,X2),subspace_topology(X3,X4,interior(X0,X1,X2)))
    | ~ connected_set(interior(X0,X1,X2),X3,X4)
    | topological_space(X1,X2) ) ).

cnf(u8339,negated_conjecture,
    ( ~ subset_sets(f10(X2,f13(a,cx,ct,X3),f11(X0,X1)),X1)
    | ~ element_of_set(f11(X0,X1),f13(a,cx,ct,X3))
    | ~ element_of_set(X3,sF0)
    | element_of_collection(X1,top_of_basis(X0))
    | ~ element_of_collection(f10(X2,f13(a,cx,ct,X3),f11(X0,X1)),X0)
    | element_of_set(f11(X2,f13(a,cx,ct,X3)),sF0) ) ).

cnf(u1930,axiom,
    ( ~ element_of_set(X1,boundary(a,cx,ct))
    | ~ element_of_collection(sF1,X0)
    | element_of_set(X1,union_of_members(top_of_basis(X0))) ) ).

cnf(u3895,negated_conjecture,
    ( ~ subset_sets(a,f14(a,cx,ct,f11(X3,f14(sF1,X0,X1,X2))))
    | ~ element_of_collection(sF1,X3)
    | element_of_set(X2,closure(sF1,X0,X1))
    | ~ subset_sets(sF1,X0)
    | ~ topological_space(X0,X1)
    | hausdorff(sF1,X4)
    | element_of_collection(f14(sF1,X0,X1,X2),top_of_basis(X3))
    | element_of_set(f19(sF1,X4),f14(a,cx,ct,f11(X3,f14(sF1,X0,X1,X2))))
    | ~ topological_space(sF1,X4) ) ).

cnf(u7240,axiom,
    ( element_of_set(f11(X4,f13(X0,X1,X2,f7(interior(X0,X1,X2),X3))),f13(X0,X1,X2,f7(interior(X0,X1,X2),X3)))
    | basis(interior(X0,X1,X2),X3)
    | ~ topological_space(interior(X0,X1,X2),X3)
    | element_of_set(f7(interior(X0,X1,X2),X3),union_of_members(top_of_basis(X4))) ) ).

cnf(neighborhood_59,axiom,
    ( ~ neighborhood(X0,X1,X2,X3)
    | topological_space(X2,X3) ) ).

cnf(hausdorff_79,axiom,
    ( ~ eq_p(f19(X0,X1),f20(X0,X1))
    | ~ topological_space(X0,X1)
    | hausdorff(X0,X1) ) ).

cnf(u8244,negated_conjecture,
    ( element_of_set(f19(interior(a,cx,X0),X1),union_of_members(X0))
    | element_of_set(f11(X0,a),a)
    | ~ element_of_set(f19(interior(a,cx,X0),X1),a)
    | hausdorff(interior(a,cx,X0),X1)
    | ~ topological_space(interior(a,cx,X0),X1) ) ).

cnf(u3877,axiom,
    ( element_of_collection(f14(closure(X0,X1,subspace_topology(X2,X3,X4)),X5,X6,X7),top_of_basis(X8))
    | element_of_set(X7,closure(closure(X0,X1,subspace_topology(X2,X3,X4)),X5,X6))
    | ~ subset_sets(X0,X1)
    | ~ topological_space(X1,subspace_topology(X2,X3,X4))
    | ~ element_of_collection(closure(X0,X1,subspace_topology(X2,X3,X4)),X8)
    | ~ subset_sets(closure(X0,X1,subspace_topology(X2,X3,X4)),X5)
    | ~ topological_space(X5,X6)
    | subset_sets(X4,X2) ) ).

cnf(u7399,negated_conjecture,
    ( ~ element_of_set(f11(X7,f14(f14(a,cx,ct,X0),X1,X2,f11(X6,f14(closure(f14(a,cx,ct,X0),X1,X2),X3,X4,X5)))),sF1)
    | ~ element_of_collection(closure(f14(a,cx,ct,X0),X1,X2),X6)
    | ~ subset_sets(f14(a,cx,ct,X0),X1)
    | ~ topological_space(X1,X2)
    | element_of_set(X5,closure(closure(f14(a,cx,ct,X0),X1,X2),X3,X4))
    | ~ subset_sets(closure(f14(a,cx,ct,X0),X1,X2),X3)
    | ~ topological_space(X3,X4)
    | ~ element_of_collection(f14(a,cx,ct,X0),X7)
    | element_of_collection(f14(f14(a,cx,ct,X0),X1,X2,f11(X6,f14(closure(f14(a,cx,ct,X0),X1,X2),X3,X4,X5))),top_of_basis(X7))
    | element_of_collection(f14(closure(f14(a,cx,ct,X0),X1,X2),X3,X4,X5),top_of_basis(X6))
    | element_of_set(X0,sF1) ) ).

cnf(u581,axiom,
    ( ~ subset_sets(f16(f11(X1,X0),X2,X3,X4),X0)
    | ~ element_of_collection(f16(f11(X1,X0),X2,X3,X4),X1)
    | element_of_collection(X0,top_of_basis(X1))
    | ~ subset_sets(X2,X3)
    | limit_point(f11(X1,X0),X2,X3,X4)
    | ~ topological_space(X3,X4) ) ).

cnf(u6663,negated_conjecture,
    ( element_of_set(f19(f13(a,cx,ct,f11(X3,closure(X0,X1,X2))),X4),interior(a,sF0,ct))
    | element_of_collection(closure(X0,X1,X2),top_of_basis(X3))
    | ~ closed(sF0,X1,X2)
    | ~ subset_sets(X0,sF0)
    | ~ topological_space(f13(a,cx,ct,f11(X3,closure(X0,X1,X2))),X4)
    | hausdorff(f13(a,cx,ct,f11(X3,closure(X0,X1,X2))),X4) ) ).

cnf(u922,axiom,
    ( ~ element_of_set(f7(X0,X1),f13(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2,X3,f11(X4,interior(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2,X3))))
    | ~ equal_sets(union_of_members(X1),X0)
    | element_of_collection(interior(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2,X3),top_of_basis(X4))
    | ~ element_of_collection(f13(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2,X3,f11(X4,interior(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2,X3))),X1)
    | basis(X0,X1) ) ).

cnf(u7265,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X4,X5,X3),f13(f14(f13(a,cx,ct,X0),cx,ct,X1),cx,ct,X2)),f13(f14(f13(a,cx,ct,X0),cx,ct,X1),cx,ct,X2))
    | ~ element_of_set(X2,f13(a,cx,ct,X0))
    | ~ element_of_set(X0,sF0)
    | ~ subset_sets(f13(a,cx,ct,X0),cx)
    | element_of_set(X1,a)
    | subset_sets(X3,X4)
    | ~ subset_sets(f14(f13(a,cx,ct,X0),cx,ct,X1),cx) ) ).

cnf(u10847,negated_conjecture,
    ( element_of_set(f7(X0,X1),interior(a,a,X2))
    | basis(X0,X1) ) ).

cnf(u3579,axiom,
    ( element_of_set(f11(X0,boundary(X1,X2,X3)),f6(X6,X7,f11(X0,boundary(X1,X2,X3)),X4,X5))
    | ~ closed(intersection_of_sets(X4,X5),X2,X3)
    | ~ subset_sets(X1,intersection_of_sets(X4,X5))
    | ~ element_of_set(f11(X0,boundary(X1,X2,X3)),X6)
    | ~ element_of_collection(X4,X7)
    | ~ element_of_collection(X5,X7)
    | ~ basis(X6,X7)
    | element_of_collection(boundary(X1,X2,X3),top_of_basis(X0)) ) ).

cnf(u753,axiom,
    ( element_of_collection(interior(X1,X2,X3),top_of_basis(X0))
    | topological_space(X2,X3) ) ).

cnf(u9439,negated_conjecture,
    ( element_of_set(f11(X2,f10(X1,a,X0)),f10(X1,a,X0))
    | ~ element_of_set(X0,a)
    | element_of_set(f11(X1,a),sF0)
    | element_of_set(X0,union_of_members(top_of_basis(X2))) ) ).

cnf(u9997,axiom,
    ( element_of_set(f11(subspace_topology(X0,X1,X2),f13(a,cx,ct,f19(sF0,X3))),f13(a,cx,ct,f19(sF0,X3)))
    | topological_space(X0,X1)
    | hausdorff(sF0,X3)
    | ~ topological_space(sF0,X3) ) ).

cnf(u11687,axiom,
    hausdorff(sF0,X0) ).

cnf(u9895,axiom,
    ( element_of_set(f11(subspace_topology(X0,X1,X2),f1(X3,X4)),f1(X3,X4))
    | limit_point(X4,X5,X6,X3)
    | topological_space(X0,X1)
    | ~ topological_space(X6,X3)
    | ~ subset_sets(X5,X6) ) ).

cnf(u7378,negated_conjecture,
    ( element_of_set(X7,interior(f14(f13(a,cx,ct,X0),X1,X2,f11(X6,f14(closure(f13(a,cx,ct,X0),X1,X2),X3,X4,X5))),cx,ct))
    | ~ element_of_collection(closure(f13(a,cx,ct,X0),X1,X2),X6)
    | ~ subset_sets(f13(a,cx,ct,X0),X1)
    | ~ topological_space(X1,X2)
    | element_of_set(X5,closure(closure(f13(a,cx,ct,X0),X1,X2),X3,X4))
    | ~ subset_sets(closure(f13(a,cx,ct,X0),X1,X2),X3)
    | ~ topological_space(X3,X4)
    | ~ subset_sets(f14(f13(a,cx,ct,X0),X1,X2,f11(X6,f14(closure(f13(a,cx,ct,X0),X1,X2),X3,X4,X5))),cx)
    | ~ element_of_set(X7,f13(a,cx,ct,X0))
    | ~ element_of_set(X0,sF0)
    | element_of_collection(f14(closure(f13(a,cx,ct,X0),X1,X2),X3,X4,X5),top_of_basis(X6)) ) ).

cnf(u1624,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,X4),X1,X2)
    | ~ subset_sets(X0,f13(a,cx,ct,X4))
    | ~ topological_space(closure(X0,X1,X2),X3)
    | basis(closure(X0,X1,X2),X3)
    | element_of_set(f7(closure(X0,X1,X2),X3),sF0)
    | ~ element_of_set(X4,sF0) ) ).

cnf(u342,axiom,
    ( ~ topological_space(interior(X0,X1,X2),X3)
    | basis(interior(X0,X1,X2),X3)
    | subset_sets(X0,X1) ) ).

cnf(u7219,axiom,
    ( ~ closed(f13(boundary(X0,X1,X2),X3,X4,f11(X5,closure(X6,X7,X8))),X1,X2)
    | ~ subset_sets(X0,f13(boundary(X0,X1,X2),X3,X4,f11(X5,closure(X6,X7,X8))))
    | ~ element_of_collection(f13(boundary(X0,X1,X2),X3,X4,f11(X5,closure(X6,X7,X8))),X9)
    | element_of_collection(boundary(X0,X1,X2),top_of_basis(X9))
    | ~ closed(interior(boundary(X0,X1,X2),X3,X4),X7,X8)
    | ~ subset_sets(X6,interior(boundary(X0,X1,X2),X3,X4))
    | element_of_collection(closure(X6,X7,X8),top_of_basis(X5)) ) ).

cnf(u9658,negated_conjecture,
    ( element_of_set(f20(closure(X0,X1,X2),X3),union_of_members(top_of_basis(X4)))
    | ~ subset_sets(X0,a)
    | ~ closed(a,X1,X2)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | element_of_set(f11(X4,sF0),sF0)
    | hausdorff(closure(X0,X1,X2),X3) ) ).

cnf(u4652,negated_conjecture,
    ( basis(sF1,subspace_topology(X0,X1,sF1))
    | ~ compact_set(sF1,X0,X1) ) ).

cnf(u8368,negated_conjecture,
    ( ~ subset_sets(f14(f13(X1,X2,X3,f11(X4,interior(X1,X2,X3))),cx,ct,X5),X2)
    | ~ element_of_set(X0,interior(X1,X2,X3))
    | ~ element_of_set(X6,f13(X1,X2,X3,f11(X4,interior(X1,X2,X3))))
    | element_of_set(X0,f10(X4,interior(X1,X2,X3),X0))
    | element_of_set(X6,interior(f14(f13(X1,X2,X3,f11(X4,interior(X1,X2,X3))),cx,ct,X5),X2,X3))
    | ~ subset_sets(f13(X1,X2,X3,f11(X4,interior(X1,X2,X3))),a)
    | ~ subset_sets(f13(X1,X2,X3,f11(X4,interior(X1,X2,X3))),cx)
    | element_of_set(X5,a) ) ).

cnf(u9175,negated_conjecture,
    ( ~ closed(f13(a,cx,X1,X0),X3,X4)
    | element_of_set(f11(X1,a),sF0)
    | ~ topological_space(cx,X1)
    | element_of_set(f19(closure(X2,X3,X4),X5),interior(a,cx,X1))
    | hausdorff(closure(X2,X3,X4),X5)
    | ~ subset_sets(X2,f13(a,cx,X1,X0))
    | ~ element_of_set(X0,a)
    | ~ topological_space(closure(X2,X3,X4),X5) ) ).

cnf(u10638,negated_conjecture,
    ( basis(closure(X0,X1,X2),X3)
    | ~ closed(cx,X1,X2) ) ).

cnf(u1435,axiom,
    ( ~ subset_sets(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4)
    | ~ subset_sets(X4,X1)
    | ~ element_of_set(X5,f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))))
    | element_of_collection(interior(X0,X1,X2),top_of_basis(X3))
    | element_of_set(X5,interior(X4,X1,X2)) ) ).

cnf(u10585,negated_conjecture,
    ( ~ element_of_set(X0,a)
    | element_of_set(X0,f1(ct,X0)) ) ).

cnf(u572,negated_conjecture,
    ( ~ element_of_set(f11(X1,X0),empty_set)
    | ~ element_of_collection(union_of_members(ct),X1)
    | ~ subset_sets(union_of_members(ct),X0)
    | element_of_collection(X0,top_of_basis(X1)) ) ).

cnf(u1319,axiom,
    ( ~ subset_sets(X5,f6(X1,X3,X0,X2,X4))
    | ~ element_of_collection(X2,X3)
    | ~ element_of_collection(X4,X3)
    | ~ element_of_set(X0,intersection_of_sets(X2,X4))
    | ~ basis(X1,X3)
    | ~ element_of_collection(X5,X6)
    | ~ topological_space(intersection_of_sets(X2,X4),X6)
    | ~ element_of_set(X7,X5)
    | ~ element_of_set(X0,X1)
    | element_of_set(X7,interior(f6(X1,X3,X0,X2,X4),intersection_of_sets(X2,X4),X6)) ) ).

cnf(u764,axiom,
    ( element_of_collection(closure(X1,X2,X3),top_of_basis(X0))
    | topological_space(X2,X3) ) ).

cnf(u1079,negated_conjecture,
    ( open(f13(f14(f13(a,cx,ct,X1),cx,ct,X0),cx,ct,X2),cx,ct)
    | ~ subset_sets(f14(f13(a,cx,ct,X1),cx,ct,X0),cx)
    | ~ element_of_set(X2,f13(a,cx,ct,X1))
    | ~ element_of_set(X1,sF0)
    | ~ subset_sets(f13(a,cx,ct,X1),cx)
    | element_of_set(X0,a) ) ).

cnf(u10487,negated_conjecture,
    ( ~ element_of_set(X1,X2)
    | element_of_set(X1,interior(a,cx,X0)) ) ).

cnf(u7660,negated_conjecture,
    ( element_of_set(f11(X2,f13(a,cx,X1,X0)),f13(a,cx,X1,X0))
    | ~ element_of_set(X0,a)
    | ~ topological_space(cx,X1)
    | element_of_set(f11(X1,a),a)
    | element_of_set(X0,union_of_members(top_of_basis(X2))) ) ).

cnf(u958,axiom,
    ( subset_sets(f13(X4,X5,X6,f19(closure(X0,X1,X2),X3)),X4)
    | ~ subset_sets(X0,interior(X4,X5,X6))
    | ~ closed(interior(X4,X5,X6),X1,X2)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | hausdorff(closure(X0,X1,X2),X3) ) ).

cnf(u1007,negated_conjecture,
    ( element_of_set(f19(f13(a,cx,ct,f19(closure(X2,X0,X1),X3)),X4),sF0)
    | ~ subset_sets(X2,sF0)
    | ~ topological_space(closure(X2,X0,X1),X3)
    | hausdorff(closure(X2,X0,X1),X3)
    | ~ closed(sF0,X0,X1)
    | ~ topological_space(f13(a,cx,ct,f19(closure(X2,X0,X1),X3)),X4)
    | hausdorff(f13(a,cx,ct,f19(closure(X2,X0,X1),X3)),X4) ) ).

cnf(u6590,negated_conjecture,
    ( element_of_set(f19(f13(a,cx,ct,f20(closure(X0,X1,X2),X3)),X4),interior(a,sF0,ct))
    | ~ topological_space(closure(X0,X1,X2),X3)
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ subset_sets(X0,sF0)
    | ~ closed(sF0,X1,X2)
    | ~ topological_space(f13(a,cx,ct,f20(closure(X0,X1,X2),X3)),X4)
    | hausdorff(f13(a,cx,ct,f20(closure(X0,X1,X2),X3)),X4) ) ).

cnf(u7695,negated_conjecture,
    ( element_of_set(X3,interior(f14(f13(a,cx,X1,X0),cx,ct,X2),cx,X1))
    | element_of_set(f11(X1,a),a)
    | ~ subset_sets(f14(f13(a,cx,X1,X0),cx,ct,X2),cx)
    | ~ element_of_set(X3,f13(a,cx,X1,X0))
    | ~ topological_space(cx,X1)
    | ~ element_of_set(X0,a)
    | ~ subset_sets(f13(a,cx,X1,X0),cx)
    | element_of_set(X2,a) ) ).

cnf(u8353,axiom,
    ( element_of_set(f11(X5,f10(X1,interior(X2,X3,X4),X0)),f10(X1,interior(X2,X3,X4),X0))
    | open(f13(X2,X3,X4,f11(X1,interior(X2,X3,X4))),X3,X4)
    | ~ element_of_set(X0,interior(X2,X3,X4))
    | element_of_set(X0,union_of_members(top_of_basis(X5))) ) ).

cnf(u9158,negated_conjecture,
    ( ~ closed(f13(a,cx,X1,X0),X3,X4)
    | element_of_set(f11(X1,a),sF0)
    | ~ topological_space(cx,X1)
    | element_of_set(f7(closure(X2,X3,X4),X5),interior(a,cx,X1))
    | ~ topological_space(closure(X2,X3,X4),X5)
    | ~ subset_sets(X2,f13(a,cx,X1,X0))
    | ~ element_of_set(X0,a)
    | basis(closure(X2,X3,X4),X5) ) ).

cnf(u3704,axiom,
    ( ~ element_of_set(X0,f9(X1,top_of_basis(subspace_topology(X2,X3,X4))))
    | topological_space(X2,X3)
    | basis(X1,top_of_basis(subspace_topology(X2,X3,X4)))
    | ~ topological_space(X1,top_of_basis(subspace_topology(X2,X3,X4))) ) ).

cnf(u10901,negated_conjecture,
    ( hausdorff(closure(X0,X1,X2),X3)
    | ~ closed(sF1,X1,X2) ) ).

cnf(u725,negated_conjecture,
    ( ~ subset_sets(f14(f13(X0,X1,X2,f20(sF1,X3)),cx,ct,X4),X1)
    | ~ topological_space(sF1,X3)
    | hausdorff(sF1,X3)
    | ~ closed(interior(X0,X1,X2),cx,ct)
    | ~ element_of_set(X5,f13(X0,X1,X2,f20(sF1,X3)))
    | ~ subset_sets(a,interior(X0,X1,X2))
    | element_of_set(X5,interior(f14(f13(X0,X1,X2,f20(sF1,X3)),cx,ct,X4),X1,X2))
    | element_of_set(X4,f14(f13(X0,X1,X2,f20(sF1,X3)),cx,ct,X6))
    | ~ subset_sets(f13(X0,X1,X2,f20(sF1,X3)),a)
    | element_of_set(X6,a)
    | ~ subset_sets(f13(X0,X1,X2,f20(sF1,X3)),cx) ) ).

cnf(u7395,axiom,
    ( element_of_set(X13,interior(f14(f13(X0,X1,X2,f19(closure(X3,X4,X5),X6)),X7,X8,f11(X12,f14(closure(f13(X0,X1,X2,f19(closure(X3,X4,X5),X6)),X7,X8),X9,X10,X11))),X1,X2))
    | ~ element_of_collection(closure(f13(X0,X1,X2,f19(closure(X3,X4,X5),X6)),X7,X8),X12)
    | ~ subset_sets(f13(X0,X1,X2,f19(closure(X3,X4,X5),X6)),X7)
    | ~ topological_space(X7,X8)
    | element_of_set(X11,closure(closure(f13(X0,X1,X2,f19(closure(X3,X4,X5),X6)),X7,X8),X9,X10))
    | ~ subset_sets(closure(f13(X0,X1,X2,f19(closure(X3,X4,X5),X6)),X7,X8),X9)
    | ~ topological_space(X9,X10)
    | ~ closed(interior(X0,X1,X2),X4,X5)
    | ~ topological_space(closure(X3,X4,X5),X6)
    | hausdorff(closure(X3,X4,X5),X6)
    | ~ subset_sets(f14(f13(X0,X1,X2,f19(closure(X3,X4,X5),X6)),X7,X8,f11(X12,f14(closure(f13(X0,X1,X2,f19(closure(X3,X4,X5),X6)),X7,X8),X9,X10,X11))),X1)
    | ~ element_of_set(X13,f13(X0,X1,X2,f19(closure(X3,X4,X5),X6)))
    | ~ subset_sets(X3,interior(X0,X1,X2))
    | element_of_collection(f14(closure(f13(X0,X1,X2,f19(closure(X3,X4,X5),X6)),X7,X8),X9,X10,X11),top_of_basis(X12)) ) ).

cnf(u35649,axiom,
    ( ~ compact_space(X0,X1)
    | compact_space(X2,X1) ) ).

cnf(u1194,axiom,
    ( ~ closed(f22(X0,X1),X3,X4)
    | connected_space(X0,X1)
    | element_of_set(f20(closure(X2,X3,X4),X5),union_of_members(X1))
    | hausdorff(closure(X2,X3,X4),X5)
    | ~ subset_sets(X2,f22(X0,X1))
    | ~ topological_space(X0,X1)
    | ~ topological_space(closure(X2,X3,X4),X5) ) ).

cnf(u3927,negated_conjecture,
    ( ~ closed(union_of_members(f24(X0,ct)),X2,X3)
    | ~ topological_space(X0,ct)
    | element_of_set(f7(closure(X1,X2,X3),X4),union_of_members(ct))
    | ~ topological_space(closure(X1,X2,X3),X4)
    | ~ subset_sets(X1,union_of_members(f24(X0,ct)))
    | compact_space(X0,ct)
    | basis(closure(X1,X2,X3),X4) ) ).

cnf(u7723,negated_conjecture,
    ( element_of_set(f20(f13(a,cx,X0,X1),X2),interior(a,cx,X0))
    | ~ element_of_set(X1,a)
    | ~ topological_space(cx,X0)
    | element_of_set(f11(X0,a),a)
    | ~ topological_space(f13(a,cx,X0,X1),X2)
    | hausdorff(f13(a,cx,X0,X1),X2) ) ).

cnf(u7366,axiom,
    ( ~ closed(f9(X0,X1),X4,X5)
    | basis(X0,X1)
    | element_of_set(f11(X2,closure(X3,X4,X5)),union_of_members(X1))
    | element_of_set(X6,f10(X2,closure(X3,X4,X5),X6))
    | ~ element_of_set(X6,closure(X3,X4,X5))
    | ~ topological_space(X0,X1)
    | ~ subset_sets(X3,f9(X0,X1)) ) ).

cnf(u9167,negated_conjecture,
    ( element_of_set(f11(X2,f13(a,cx,X1,X0)),interior(a,cx,X1))
    | element_of_set(f11(X1,a),sF0)
    | ~ topological_space(cx,X1)
    | ~ element_of_set(X0,a)
    | element_of_collection(f13(a,cx,X1,X0),top_of_basis(X2)) ) ).

cnf(u1192,axiom,
    ( ~ closed(f22(X0,X1),X3,X4)
    | connected_space(X0,X1)
    | element_of_set(f19(closure(X2,X3,X4),X5),union_of_members(X1))
    | hausdorff(closure(X2,X3,X4),X5)
    | ~ subset_sets(X2,f22(X0,X1))
    | ~ topological_space(X0,X1)
    | ~ topological_space(closure(X2,X3,X4),X5) ) ).

cnf(u11941,negated_conjecture,
    ( ~ element_of_set(X0,f13(a,cx,X1,X2))
    | ~ element_of_set(X2,a) ) ).

cnf(u9903,axiom,
    ( element_of_set(f11(subspace_topology(X0,X1,X2),f10(X3,closure(X4,X5,X6),X7)),f10(X3,closure(X4,X5,X6),X7))
    | element_of_collection(f13(X8,X9,X10,f11(X3,closure(X4,X5,X6))),X10)
    | topological_space(X0,X1)
    | ~ subset_sets(X4,interior(X8,X9,X10))
    | ~ element_of_set(X7,closure(X4,X5,X6))
    | ~ closed(interior(X8,X9,X10),X5,X6) ) ).

cnf(u1655,negated_conjecture,
    ( ~ subset_sets(a,f14(X1,cx,ct,X2))
    | ~ topological_space(sF1,X0)
    | element_of_set(f7(sF1,X0),f14(X1,cx,ct,X2))
    | basis(sF1,X0)
    | element_of_set(X2,closure(X1,cx,ct))
    | ~ subset_sets(X1,cx) ) ).

cnf(u10843,negated_conjecture,
    ( element_of_set(f7(interior(X0,X1,X2),X3),interior(a,a,X4))
    | basis(interior(X0,X1,X2),X3) ) ).

cnf(u7115,axiom,
    ( element_of_set(f11(subspace_topology(X9,X10,X8),f10(X1,closure(X2,X3,X4),X0)),f10(X1,closure(X2,X3,X4),X0))
    | subset_sets(f13(X5,X6,X7,f11(X1,closure(X2,X3,X4))),X5)
    | ~ subset_sets(X2,interior(X5,X6,X7))
    | ~ element_of_set(X0,closure(X2,X3,X4))
    | subset_sets(X8,X9)
    | ~ closed(interior(X5,X6,X7),X3,X4) ) ).

cnf(u765,axiom,
    ( element_of_collection(closure(X1,X2,X3),top_of_basis(X0))
    | subset_sets(X1,X2) ) ).

cnf(u8271,negated_conjecture,
    ( element_of_collection(f1(subspace_topology(X0,X1,cx),X2),subspace_topology(X0,X1,cx))
    | element_of_set(f11(subspace_topology(X0,X1,cx),a),a)
    | ~ element_of_set(X2,a)
    | ~ compact_set(cx,X0,X1) ) ).

cnf(interior_52,axiom,
    ( ~ open(X4,X2,X3)
    | ~ topological_space(X2,X3)
    | ~ subset_sets(X1,X2)
    | ~ element_of_set(X0,X4)
    | ~ subset_sets(X4,X1)
    | element_of_set(X0,interior(X1,X2,X3)) ) ).

cnf(u3874,axiom,
    ( ~ subset_sets(X7,f14(X0,X1,X2,f11(X6,f14(closure(X0,X1,X2),X3,X4,X5))))
    | ~ element_of_collection(closure(X0,X1,X2),X6)
    | ~ subset_sets(X0,X1)
    | ~ topological_space(X1,X2)
    | element_of_set(X5,closure(closure(X0,X1,X2),X3,X4))
    | ~ subset_sets(closure(X0,X1,X2),X3)
    | ~ topological_space(X3,X4)
    | ~ subset_sets(X7,X1)
    | element_of_collection(f14(closure(X0,X1,X2),X3,X4,X5),top_of_basis(X6))
    | subset_sets(X7,f14(X7,X1,X2,X8))
    | element_of_set(X8,f14(X0,X1,X2,f11(X6,f14(closure(X0,X1,X2),X3,X4,X5)))) ) ).

cnf(u11074,negated_conjecture,
    ( element_of_set(f19(X0,X1),interior(a,sF0,X2))
    | hausdorff(X0,X1) ) ).

cnf(u7461,axiom,
    ( element_of_set(f11(X0,union_of_members(X1)),f1(X1,f11(X0,union_of_members(X1))))
    | element_of_set(X2,f10(X0,union_of_members(X1),X2))
    | ~ element_of_set(X2,union_of_members(X1)) ) ).

cnf(u7075,negated_conjecture,
    ( ~ closed(boundary(X4,X5,X6),X2,X3)
    | ~ element_of_set(X7,closure(X1,X2,X3))
    | element_of_set(X7,f10(X0,closure(X1,X2,X3),X7))
    | ~ subset_sets(X1,boundary(X4,X5,X6))
    | ~ closed(sF1,X5,X6)
    | ~ subset_sets(X4,sF1) ) ).

cnf(u3588,axiom,
    ( ~ closed(f13(a,cx,ct,X4),X2,X3)
    | element_of_collection(boundary(X1,X2,X3),top_of_basis(X0))
    | ~ subset_sets(X1,f13(a,cx,ct,X4))
    | element_of_set(f11(X0,boundary(X1,X2,X3)),union_of_members(ct))
    | ~ element_of_set(X4,sF0) ) ).

cnf(u407,axiom,
    ( open_covering(X1,X0,X2)
    | ~ topological_space(X0,X2)
    | ~ subset_collections(X1,X2)
    | ~ basis(X0,X1) ) ).

cnf(u7231,axiom,
    ( ~ element_of_set(X5,f12(X1,top_of_basis(subspace_topology(X2,X3,X4)),X0,X0))
    | ~ connected_set(X0,X1,top_of_basis(subspace_topology(X2,X3,X4)))
    | subset_sets(X4,X2) ) ).

cnf(u338,axiom,
    ( element_of_set(f7(interior(X0,X1,X2),X3),f13(X0,X1,X2,f7(interior(X0,X1,X2),X3)))
    | ~ topological_space(interior(X0,X1,X2),X3)
    | basis(interior(X0,X1,X2),X3) ) ).

cnf(u3548,axiom,
    ( ~ topological_space(X7,subspace_topology(X2,X3,X4))
    | ~ topological_space(X2,X3)
    | ~ subset_sets(X4,X2)
    | limit_point(X5,X0,X1,subspace_topology(X6,X3,X4))
    | ~ topological_space(X1,subspace_topology(X6,X3,X4))
    | element_of_set(X5,f1(subspace_topology(X2,X3,X4),X5))
    | ~ subset_sets(X0,X1)
    | ~ subset_sets(X0,X7) ) ).

cnf(interior_48,axiom,
    ( ~ element_of_set(X0,interior(X1,X2,X3))
    | subset_sets(X1,X2) ) ).

cnf(u3607,axiom,
    ( closed(f14(relative_complement_sets(X4,X5),X5,X6,f11(X0,boundary(X1,X2,X3))),X5,X6)
    | ~ closed(closure(X4,X5,X6),X2,X3)
    | ~ subset_sets(X1,closure(X4,X5,X6))
    | element_of_set(f11(X0,boundary(X1,X2,X3)),boundary(X4,X5,X6))
    | element_of_collection(boundary(X1,X2,X3),top_of_basis(X0))
    | ~ subset_sets(relative_complement_sets(X4,X5),X5) ) ).

cnf(u169,axiom,
    ( ~ closed(X4,X2,X3)
    | ~ subset_sets(X1,X2)
    | ~ subset_sets(X1,X4)
    | subset_sets(X1,f14(X1,X2,X3,X0))
    | element_of_set(X0,X4) ) ).

cnf(u9994,axiom,
    ( ~ limit_point(X5,X4,X6,X7)
    | element_of_set(f11(subspace_topology(X0,X1,X2),intersection_of_sets(X3,X4)),intersection_of_sets(X3,X4))
    | ~ neighborhood(X3,X5,X6,X7)
    | topological_space(X0,X1) ) ).

cnf(u8346,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X2,X3,X1),f1(top_of_basis(ct),X0)),f1(top_of_basis(ct),X0))
    | subset_sets(X1,X2)
    | ~ element_of_set(X0,a) ) ).

cnf(u628,axiom,
    ( element_of_set(f20(intersection_of_members(X1),X2),X0)
    | ~ element_of_collection(X0,X1)
    | ~ topological_space(intersection_of_members(X1),X2)
    | hausdorff(intersection_of_members(X1),X2) ) ).

cnf(u7736,negated_conjecture,
    ( ~ element_of_set(X2,f13(a,cx,X0,X1))
    | ~ element_of_set(X1,a)
    | ~ topological_space(cx,X0)
    | element_of_set(f11(X0,a),a)
    | element_of_set(X2,union_of_members(X0)) ) ).

cnf(u8022,negated_conjecture,
    ( ~ subset_sets(f13(f14(X0,cx,ct,X1),X2,X3,f11(X4,interior(f14(X0,cx,ct,X1),X2,X3))),cx)
    | ~ element_of_set(X5,interior(f14(X0,cx,ct,X1),X2,X3))
    | ~ subset_sets(X0,cx)
    | element_of_set(X1,a)
    | element_of_set(X5,f10(X4,interior(f14(X0,cx,ct,X1),X2,X3),X5))
    | ~ subset_sets(X0,a)
    | closed(f14(f13(f14(X0,cx,ct,X1),X2,X3,f11(X4,interior(f14(X0,cx,ct,X1),X2,X3))),cx,ct,X6),cx,ct)
    | element_of_set(X6,f14(X0,cx,ct,X1)) ) ).

cnf(u297,axiom,
    ( ~ disjoint_s(X2,f16(f20(X0,X1),X3,X0,X1))
    | hausdorff(X0,X1)
    | ~ neighborhood(X2,f19(X0,X1),X0,X1)
    | ~ subset_sets(X3,X0)
    | limit_point(f20(X0,X1),X3,X0,X1) ) ).

cnf(u8245,negated_conjecture,
    ( ~ element_of_set(f11(X0,boundary(X1,X2,X3)),a)
    | element_of_set(f11(X4,a),a)
    | element_of_set(f11(X0,boundary(X1,X2,X3)),union_of_members(X4))
    | ~ closed(interior(a,cx,X4),X2,X3)
    | ~ subset_sets(X1,interior(a,cx,X4))
    | element_of_collection(boundary(X1,X2,X3),top_of_basis(X0)) ) ).

cnf(u6941,axiom,
    ( element_of_set(f20(sF0,X0),f1(ct,f20(sF0,X0)))
    | hausdorff(sF0,X0)
    | ~ topological_space(sF0,X0) ) ).

cnf(u8365,axiom,
    ( ~ subset_sets(f14(f13(X1,X2,X3,f11(X4,interior(X1,X2,X3))),X5,X6,X7),X2)
    | ~ element_of_set(X0,interior(X1,X2,X3))
    | ~ element_of_set(X8,f13(X1,X2,X3,f11(X4,interior(X1,X2,X3))))
    | element_of_set(X0,f10(X4,interior(X1,X2,X3),X0))
    | element_of_set(X8,interior(f14(f13(X1,X2,X3,f11(X4,interior(X1,X2,X3))),X5,X6,X7),X2,X3))
    | element_of_set(X7,closure(f13(X1,X2,X3,f11(X4,interior(X1,X2,X3))),X5,X6))
    | ~ subset_sets(f13(X1,X2,X3,f11(X4,interior(X1,X2,X3))),X5)
    | ~ topological_space(X5,X6) ) ).

cnf(u4041,axiom,
    ( element_of_set(f19(f13(X4,X5,X6,f11(X3,closure(X0,X1,X2))),X7),interior(X4,X5,X6))
    | ~ subset_sets(X0,interior(X4,X5,X6))
    | ~ closed(interior(X4,X5,X6),X1,X2)
    | element_of_collection(closure(X0,X1,X2),top_of_basis(X3))
    | ~ topological_space(f13(X4,X5,X6,f11(X3,closure(X0,X1,X2))),X7)
    | hausdorff(f13(X4,X5,X6,f11(X3,closure(X0,X1,X2))),X7) ) ).

cnf(u1440,negated_conjecture,
    ( element_of_set(X5,interior(f14(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),cx,ct,X4),X1,X2))
    | ~ element_of_set(X5,f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))))
    | element_of_collection(interior(X0,X1,X2),top_of_basis(X3))
    | ~ subset_sets(f14(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),cx,ct,X4),X1)
    | ~ subset_sets(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),a)
    | ~ subset_sets(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),cx)
    | element_of_set(X4,a) ) ).

cnf(u158,axiom,
    ( subset_sets(f13(a,cx,ct,X0),a)
    | ~ element_of_set(X0,sF0) ) ).

cnf(u11142,axiom,
    ( ~ element_of_set(X0,X1)
    | element_of_set(X0,union_of_members(X2)) ) ).

cnf(u8233,negated_conjecture,
    ( ~ closed(f13(a,cx,X1,X0),X3,X4)
    | ~ topological_space(cx,X1)
    | element_of_set(f11(X1,a),a)
    | element_of_set(f19(closure(X2,X3,X4),X5),union_of_members(X1))
    | hausdorff(closure(X2,X3,X4),X5)
    | ~ subset_sets(X2,f13(a,cx,X1,X0))
    | ~ element_of_set(X0,a)
    | ~ topological_space(closure(X2,X3,X4),X5) ) ).

cnf(u1672,negated_conjecture,
    ( closed(f14(f13(f14(X1,cx,ct,X2),X3,X4,f7(closure(X0,X5,X6),X7)),cx,ct,X8),cx,ct)
    | ~ closed(interior(f14(X1,cx,ct,X2),X3,X4),X5,X6)
    | basis(closure(X0,X5,X6),X7)
    | ~ topological_space(closure(X0,X5,X6),X7)
    | ~ subset_sets(X1,cx)
    | element_of_set(X2,a)
    | ~ subset_sets(f13(f14(X1,cx,ct,X2),X3,X4,f7(closure(X0,X5,X6),X7)),cx)
    | ~ subset_sets(X1,a)
    | ~ subset_sets(X0,interior(f14(X1,cx,ct,X2),X3,X4))
    | element_of_set(X8,f14(X1,cx,ct,X2)) ) ).

cnf(u3648,negated_conjecture,
    ( element_of_set(f20(f13(a,cx,ct,f11(X3,boundary(X0,X1,X2))),X4),sF0)
    | ~ closed(sF0,X1,X2)
    | element_of_collection(boundary(X0,X1,X2),top_of_basis(X3))
    | ~ subset_sets(X0,sF0)
    | ~ topological_space(f13(a,cx,ct,f11(X3,boundary(X0,X1,X2))),X4)
    | hausdorff(f13(a,cx,ct,f11(X3,boundary(X0,X1,X2))),X4) ) ).

cnf(u6683,negated_conjecture,
    ( ~ subset_sets(interior(a,sF0,ct),closure(X0,X1,X2))
    | ~ closed(sF0,X1,X2)
    | ~ subset_sets(X0,sF0)
    | ~ element_of_collection(interior(a,sF0,ct),X3)
    | element_of_collection(closure(X0,X1,X2),top_of_basis(X3)) ) ).

cnf(u798,axiom,
    ( ~ closed(f14(X4,X5,X6,f11(X0,closure(X1,X2,X3))),X2,X3)
    | element_of_collection(closure(X1,X2,X3),top_of_basis(X0))
    | ~ subset_sets(X1,f14(X4,X5,X6,f11(X0,closure(X1,X2,X3))))
    | ~ topological_space(X5,X6)
    | ~ subset_sets(X4,X5)
    | element_of_set(f11(X0,closure(X1,X2,X3)),closure(X4,X5,X6)) ) ).

cnf(u1198,axiom,
    ( ~ topological_space(f14(relative_complement_sets(X1,X2),X2,X3,X0),X5)
    | ~ element_of_set(X0,closure(X1,X2,X3))
    | ~ subset_sets(relative_complement_sets(X1,X2),X2)
    | ~ element_of_collection(X4,X5)
    | element_of_set(X0,boundary(X1,X2,X3))
    | ~ element_of_set(X6,X4)
    | ~ subset_sets(X4,relative_complement_sets(X1,X2))
    | element_of_set(X6,interior(relative_complement_sets(X1,X2),f14(relative_complement_sets(X1,X2),X2,X3,X0),X5)) ) ).

cnf(u3999,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X1,X2,X3),sF1),union_of_members(top_of_basis(X0)))
    | element_of_set(f11(X0,a),a)
    | subset_sets(X3,X1) ) ).

cnf(u3518,axiom,
    ( ~ closed(boundary(X0,X1,X6),X4,X5)
    | element_of_collection(closure(X3,X4,X5),top_of_basis(X2))
    | subset_sets(X0,X1)
    | ~ subset_sets(X3,boundary(X0,X1,X6)) ) ).

cnf(u1338,negated_conjecture,
    ( subset_collections(f5(intersection_of_sets(X0,f12(X1,X2,X0,union_of_members(ct))),ct),ct)
    | topological_space(intersection_of_sets(X0,f12(X1,X2,X0,union_of_members(ct))),ct)
    | ~ element_of_collection(intersection_of_sets(X0,f12(X1,X2,X0,union_of_members(ct))),ct)
    | ~ element_of_collection(union_of_members(ct),subspace_topology(X1,X2,X0)) ) ).

cnf(u3063,axiom,
    ( ~ basis(X0,X1)
    | ~ element_of_collection(empty_set,X1)
    | ~ element_of_collection(X0,X1)
    | element_of_collection(f4(X0,X1),X1)
    | subset_collections(f5(X0,X1),X1)
    | topological_space(X0,X1) ) ).

cnf(u7502,axiom,
    ( element_of_set(f11(X0,f13(X1,X2,X3,f11(X4,interior(X1,X2,X3)))),interior(X1,X2,X3))
    | element_of_set(X5,f10(X0,f13(X1,X2,X3,f11(X4,interior(X1,X2,X3))),X5))
    | element_of_collection(interior(X1,X2,X3),top_of_basis(X4))
    | ~ element_of_set(X5,f13(X1,X2,X3,f11(X4,interior(X1,X2,X3)))) ) ).

cnf(u1227,axiom,
    ( hausdorff(closure(X0,X1,X2),subspace_topology(X3,X4,closure(X0,X1,X2)))
    | ~ connected_set(closure(X0,X1,X2),X3,X4)
    | topological_space(X1,X2) ) ).

cnf(limit_point_68,axiom,
    ( ~ element_of_set(X4,intersection_of_sets(f16(X0,X1,X2,X3),X1))
    | ~ topological_space(X2,X3)
    | ~ subset_sets(X1,X2)
    | limit_point(X0,X1,X2,X3)
    | eq_p(X4,X0) ) ).

cnf(u3620,axiom,
    ( ~ element_of_set(X7,boundary(X0,X1,X2))
    | ~ closed(X6,X1,X2)
    | ~ subset_sets(X0,X6)
    | element_of_set(f11(subspace_topology(X3,X4,X5),boundary(X0,X1,X2)),X6)
    | subset_sets(X5,X3) ) ).

cnf(u1191,axiom,
    ( element_of_set(f19(f22(X0,X1),X2),union_of_members(X1))
    | connected_space(X0,X1)
    | ~ topological_space(X0,X1)
    | ~ topological_space(f22(X0,X1),X2)
    | hausdorff(f22(X0,X1),X2) ) ).

cnf(u8369,axiom,
    ( ~ subset_sets(f13(a,cx,ct,f11(X0,sF0)),X1)
    | ~ element_of_set(X2,sF0)
    | ~ subset_sets(X1,cx)
    | ~ element_of_set(X3,f13(a,cx,ct,f11(X0,sF0)))
    | element_of_set(X2,f10(X0,sF0,X2))
    | element_of_set(X3,interior(X1,cx,ct)) ) ).

cnf(u271,negated_conjecture,
    ( element_of_set(f20(f13(a,cx,ct,X0),X1),sF0)
    | hausdorff(f13(a,cx,ct,X0),X1)
    | ~ topological_space(f13(a,cx,ct,X0),X1)
    | ~ element_of_set(X0,sF0) ) ).

cnf(u778,axiom,
    ( ~ closed(intersection_of_sets(f16(X4,X5,X6,X7),X5),X2,X3)
    | element_of_collection(closure(X1,X2,X3),top_of_basis(X0))
    | ~ subset_sets(X1,intersection_of_sets(f16(X4,X5,X6,X7),X5))
    | ~ topological_space(X6,X7)
    | ~ subset_sets(X5,X6)
    | limit_point(X4,X5,X6,X7)
    | eq_p(f11(X0,closure(X1,X2,X3)),X4) ) ).

cnf(u403,axiom,
    ( ~ topological_space(X0,subspace_topology(X1,X2,X3))
    | basis(X0,subspace_topology(X1,X2,X3))
    | topological_space(X1,X2) ) ).

cnf(u3946,negated_conjecture,
    ( element_of_set(f11(X0,union_of_members(ct)),union_of_members(ct))
    | element_of_set(X1,union_of_members(top_of_basis(X0)))
    | ~ element_of_set(X1,cx) ) ).

cnf(u3721,axiom,
    ( element_of_set(f11(subspace_topology(X0,X1,X2),closure(X3,X4,X5)),X6)
    | element_of_collection(closure(X3,X4,X5),top_of_basis(X7))
    | ~ closed(X6,X4,X5)
    | ~ subset_sets(X3,X6)
    | topological_space(X0,X1) ) ).

cnf(u1632,axiom,
    ( ~ closed(f13(X4,X5,X6,f19(interior(X4,X5,X6),X7)),X1,X2)
    | ~ subset_sets(X0,f13(X4,X5,X6,f19(interior(X4,X5,X6),X7)))
    | ~ topological_space(closure(X0,X1,X2),X3)
    | basis(closure(X0,X1,X2),X3)
    | ~ topological_space(interior(X4,X5,X6),X7)
    | hausdorff(interior(X4,X5,X6),X7)
    | element_of_set(f7(closure(X0,X1,X2),X3),interior(X4,X5,X6)) ) ).

cnf(u350,axiom,
    ( element_of_set(f7(boundary(X0,X1,X2),X3),closure(X0,X1,X2))
    | ~ topological_space(boundary(X0,X1,X2),X3)
    | basis(boundary(X0,X1,X2),X3) ) ).

cnf(u1008,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,f19(closure(X2,X0,X1),X3)),X5,X6)
    | ~ subset_sets(X2,sF0)
    | ~ topological_space(closure(X2,X0,X1),X3)
    | hausdorff(closure(X2,X0,X1),X3)
    | element_of_set(f19(closure(X4,X5,X6),X7),sF0)
    | hausdorff(closure(X4,X5,X6),X7)
    | ~ subset_sets(X4,f13(a,cx,ct,f19(closure(X2,X0,X1),X3)))
    | ~ closed(sF0,X0,X1)
    | ~ topological_space(closure(X4,X5,X6),X7) ) ).

cnf(u1108,axiom,
    ( ~ closed(f21(X0,X1),X4,X5)
    | connected_space(X0,X1)
    | element_of_set(f11(X2,closure(X3,X4,X5)),union_of_members(X1))
    | element_of_collection(closure(X3,X4,X5),top_of_basis(X2))
    | ~ topological_space(X0,X1)
    | ~ subset_sets(X3,f21(X0,X1)) ) ).

cnf(u6365,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X1,X2,X0),a),sF0)
    | subset_sets(X0,X1) ) ).

cnf(u9035,negated_conjecture,
    ( element_of_set(X1,f10(X0,a,X1))
    | element_of_set(f11(X0,a),sF0)
    | ~ element_of_set(X1,a) ) ).

cnf(basis_for_topology_33,axiom,
    ( ~ equal_sets(union_of_members(X1),X0)
    | basis(X0,X1)
    | element_of_collection(f8(X0,X1),X1) ) ).

cnf(u312,axiom,
    ( element_of_collection(f1(ct,X0),ct)
    | ~ element_of_set(X0,sF0) ) ).

cnf(u719,axiom,
    ( ~ subset_sets(f13(X0,X1,X2,f20(sF1,X3)),X4)
    | ~ closed(interior(X0,X1,X2),cx,ct)
    | ~ topological_space(sF1,X3)
    | hausdorff(sF1,X3)
    | ~ subset_sets(X4,X1)
    | ~ element_of_set(X5,f13(X0,X1,X2,f20(sF1,X3)))
    | ~ subset_sets(a,interior(X0,X1,X2))
    | element_of_set(X5,interior(X4,X1,X2)) ) ).

cnf(u1443,axiom,
    ( ~ element_of_set(X2,f13(X0,X1,X3,f11(X4,interior(X0,X1,X3))))
    | element_of_collection(interior(X0,X1,X3),top_of_basis(X4))
    | element_of_set(X2,interior(X0,X1,X3)) ) ).

cnf(u965,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,f20(sF0,X4)),X1,X2)
    | ~ subset_sets(X0,f13(a,cx,ct,f20(sF0,X4)))
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | element_of_set(f19(closure(X0,X1,X2),X3),sF0)
    | ~ topological_space(sF0,X4)
    | hausdorff(sF0,X4) ) ).

cnf(u8328,negated_conjecture,
    ( ~ element_of_collection(f13(f13(a,cx,X1,X0),X2,X3,f11(X4,closure(X5,X6,X7))),X8)
    | element_of_set(f11(X1,a),a)
    | ~ element_of_set(X0,a)
    | ~ topological_space(a,X8)
    | ~ element_of_set(X9,f13(f13(a,cx,X1,X0),X2,X3,f11(X4,closure(X5,X6,X7))))
    | ~ topological_space(cx,X1)
    | element_of_set(X9,interior(f13(a,cx,X1,X0),a,X8))
    | element_of_set(X10,f10(X4,closure(X5,X6,X7),X10))
    | ~ closed(interior(f13(a,cx,X1,X0),X2,X3),X6,X7)
    | ~ subset_sets(X5,interior(f13(a,cx,X1,X0),X2,X3))
    | ~ element_of_set(X10,closure(X5,X6,X7)) ) ).

cnf(u624,negated_conjecture,
    ( element_of_collection(f1(ct,f15(X2,X0,X3,X4,X1)),ct)
    | ~ element_of_collection(X1,ct)
    | ~ neighborhood(X1,X2,X3,X4)
    | ~ limit_point(X2,X0,X3,X4)
    | ~ element_of_collection(X0,ct) ) ).

cnf(u1162,negated_conjecture,
    ( subset_sets(X0,f14(X0,X1,X2,f11(X3,f14(closure(X0,X1,X2),cx,ct,X4))))
    | element_of_set(X4,f14(closure(X0,X1,X2),cx,ct,X5))
    | element_of_collection(f14(closure(X0,X1,X2),cx,ct,X4),top_of_basis(X3))
    | ~ subset_sets(X0,X1)
    | ~ topological_space(X1,X2)
    | ~ element_of_collection(closure(X0,X1,X2),X3)
    | ~ subset_sets(closure(X0,X1,X2),a)
    | element_of_set(X5,a)
    | ~ subset_sets(closure(X0,X1,X2),cx) ) ).

cnf(u1390,axiom,
    ( open(f13(a,cx,ct,f7(sF0,X0)),cx,ct)
    | ~ topological_space(sF0,X0)
    | basis(sF0,X0) ) ).

cnf(u8106,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,X4),X1,X2)
    | ~ element_of_set(X4,a)
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ subset_sets(X0,f13(a,cx,ct,X4))
    | element_of_set(f20(closure(X0,X1,X2),X3),sF0)
    | ~ topological_space(closure(X0,X1,X2),X3) ) ).

cnf(u3572,axiom,
    ( ~ closed(union_of_members(X4),X2,X3)
    | element_of_collection(boundary(X1,X2,X3),top_of_basis(X0))
    | ~ subset_sets(X1,union_of_members(X4))
    | element_of_collection(f1(X4,f11(X0,boundary(X1,X2,X3))),X4) ) ).

cnf(u6996,axiom,
    ( element_of_set(X0,f10(X1,f10(top_of_basis(X1),X2,X3),X0))
    | ~ element_of_set(X0,f10(top_of_basis(X1),X2,X3))
    | ~ element_of_set(X3,X2)
    | ~ element_of_collection(X2,top_of_basis(top_of_basis(X1))) ) ).

cnf(u1093,negated_conjecture,
    ( ~ subset_sets(a,f14(a,cx,ct,f11(X0,X1)))
    | element_of_collection(X1,top_of_basis(X0))
    | ~ subset_sets(sF1,X1)
    | ~ subset_sets(f14(a,cx,ct,f11(X0,X1)),sF1)
    | ~ element_of_collection(sF1,X0)
    | ~ element_of_collection(f14(a,cx,ct,f11(X0,X1)),X2)
    | element_of_collection(sF1,top_of_basis(X2)) ) ).

cnf(u3621,axiom,
    ( ~ element_of_set(X5,boundary(X0,X1,X2))
    | ~ closed(X4,X1,X2)
    | ~ subset_sets(X0,X4)
    | element_of_set(f11(X3,boundary(X0,X1,X2)),X4)
    | element_of_set(X5,union_of_members(top_of_basis(X3))) ) ).

cnf(u3500,axiom,
    ( ~ closed(interior(X1,X2,X3),cx,ct)
    | hausdorff(sF1,X0)
    | ~ topological_space(sF1,X0)
    | ~ subset_sets(a,interior(X1,X2,X3))
    | element_of_set(f11(X4,f13(X1,X2,X3,f19(sF1,X0))),interior(X1,X2,X3))
    | element_of_collection(f13(X1,X2,X3,f19(sF1,X0)),top_of_basis(X4)) ) ).

cnf(u8103,negated_conjecture,
    ( element_of_set(f20(f13(a,cx,ct,X0),X1),sF0)
    | ~ element_of_set(X0,a)
    | ~ topological_space(f13(a,cx,ct,X0),X1)
    | hausdorff(f13(a,cx,ct,X0),X1) ) ).

cnf(subspace_topology_45,axiom,
    ( equal_sets(X0,intersection_of_sets(X3,f12(X1,X2,X3,X0)))
    | ~ element_of_collection(X0,subspace_topology(X1,X2,X3)) ) ).

cnf(u7056,axiom,
    ( ~ closed(f13(X4,X5,X6,f11(X7,closure(X8,X9,X10))),X2,X3)
    | ~ element_of_set(X11,closure(X1,X2,X3))
    | element_of_set(X11,f10(X0,closure(X1,X2,X3),X11))
    | ~ subset_sets(X1,f13(X4,X5,X6,f11(X7,closure(X8,X9,X10))))
    | element_of_collection(closure(X8,X9,X10),top_of_basis(X7))
    | ~ subset_sets(X8,interior(X4,X5,X6))
    | ~ closed(interior(X4,X5,X6),X9,X10)
    | element_of_set(f11(X0,closure(X1,X2,X3)),interior(X4,X5,X6)) ) ).

cnf(u8241,negated_conjecture,
    ( ~ element_of_set(f20(closure(X0,X1,X2),X3),a)
    | element_of_set(f11(X4,a),a)
    | element_of_set(f20(closure(X0,X1,X2),X3),union_of_members(X4))
    | ~ subset_sets(X0,interior(a,cx,X4))
    | ~ closed(interior(a,cx,X4),X1,X2)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | hausdorff(closure(X0,X1,X2),X3) ) ).

cnf(u10328,negated_conjecture,
    ( ~ element_of_set(X2,X0)
    | element_of_set(X2,interior(a,sF0,X1)) ) ).

cnf(u9613,negated_conjecture,
    ( element_of_set(f7(f13(a,cx,X0,f11(subspace_topology(X2,X3,X1),interior(a,cx,X0))),X4),interior(a,cx,X0))
    | ~ topological_space(cx,X0)
    | subset_sets(X1,X2)
    | element_of_set(f11(X0,a),sF0)
    | basis(f13(a,cx,X0,f11(subspace_topology(X2,X3,X1),interior(a,cx,X0))),X4)
    | ~ topological_space(f13(a,cx,X0,f11(subspace_topology(X2,X3,X1),interior(a,cx,X0))),X4) ) ).

cnf(u8248,negated_conjecture,
    ( element_of_set(f11(X0,interior(a,cx,X1)),union_of_members(X1))
    | element_of_set(f11(X1,a),a)
    | ~ element_of_set(f11(X0,interior(a,cx,X1)),a)
    | element_of_collection(interior(a,cx,X1),top_of_basis(X0)) ) ).

cnf(u6984,axiom,
    ( element_of_set(X0,f10(X4,closure(X1,X2,X3),X0))
    | element_of_set(f11(X4,closure(X1,X2,X3)),X5)
    | ~ element_of_set(X0,closure(X1,X2,X3))
    | ~ closed(X5,X2,X3)
    | ~ subset_sets(X1,X5) ) ).

cnf(u11449,axiom,
    ( element_of_set(f19(interior(X0,X1,X2),X3),interior(X4,X5,X6))
    | hausdorff(interior(X0,X1,X2),X3) ) ).

cnf(u794,axiom,
    ( ~ closed(closure(X4,X5,X6),X2,X3)
    | element_of_collection(closure(X1,X2,X3),top_of_basis(X0))
    | ~ subset_sets(X1,closure(X4,X5,X6))
    | topological_space(X5,X6) ) ).

cnf(u444,axiom,
    ( element_of_collection(f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),X2)
    | ~ topological_space(interior(X0,X1,X2),X3)
    | hausdorff(interior(X0,X1,X2),X3) ) ).

cnf(u1736,axiom,
    ( ~ closed(f13(X1,X2,X3,f20(sF1,X0)),X5,X6)
    | hausdorff(sF1,X0)
    | ~ closed(interior(X1,X2,X3),cx,ct)
    | ~ subset_sets(a,interior(X1,X2,X3))
    | element_of_set(f19(closure(X4,X5,X6),X7),interior(X1,X2,X3))
    | hausdorff(closure(X4,X5,X6),X7)
    | ~ subset_sets(X4,f13(X1,X2,X3,f20(sF1,X0)))
    | ~ topological_space(sF1,X0)
    | ~ topological_space(closure(X4,X5,X6),X7) ) ).

cnf(u3949,axiom,
    ( element_of_set(f11(X0,union_of_members(X1)),union_of_members(X1))
    | limit_point(X2,X3,X4,X1)
    | element_of_set(X2,union_of_members(top_of_basis(X0)))
    | ~ subset_sets(X3,X4)
    | ~ topological_space(X4,X1) ) ).

cnf(neighborhood_60,axiom,
    ( ~ neighborhood(X0,X1,X2,X3)
    | open(X0,X2,X3) ) ).

cnf(u3670,axiom,
    ( element_of_set(f19(f13(X4,X5,X6,f11(X3,boundary(X0,X1,X2))),X7),interior(X4,X5,X6))
    | ~ subset_sets(X0,interior(X4,X5,X6))
    | ~ closed(interior(X4,X5,X6),X1,X2)
    | element_of_collection(boundary(X0,X1,X2),top_of_basis(X3))
    | ~ topological_space(f13(X4,X5,X6,f11(X3,boundary(X0,X1,X2))),X7)
    | hausdorff(f13(X4,X5,X6,f11(X3,boundary(X0,X1,X2))),X7) ) ).

cnf(u4085,axiom,
    ( element_of_collection(f1(ct,f19(sF0,X0)),ct)
    | hausdorff(sF0,X0)
    | ~ topological_space(sF0,X0) ) ).

cnf(u1356,axiom,
    ( ~ element_of_collection(f9(X0,X1),X3)
    | ~ element_of_collection(f8(X0,X1),X3)
    | ~ element_of_set(f7(X0,X1),X2)
    | ~ basis(X2,X3)
    | element_of_collection(f6(X2,X3,f7(X0,X1),f8(X0,X1),f9(X0,X1)),X3)
    | ~ equal_sets(union_of_members(X1),X0)
    | basis(X0,X1) ) ).

cnf(u6944,axiom,
    ( element_of_set(f20(sF0,X0),union_of_members(top_of_basis(X1)))
    | element_of_set(f11(X1,union_of_members(ct)),union_of_members(ct))
    | hausdorff(sF0,X0)
    | ~ topological_space(sF0,X0) ) ).

cnf(u267,axiom,
    ( open(f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),X1,X2)
    | hausdorff(interior(X0,X1,X2),X3)
    | ~ topological_space(interior(X0,X1,X2),X3) ) ).

cnf(u1185,negated_conjecture,
    ( element_of_set(f11(X2,sF1),f14(a,cx,ct,f11(X0,X1)))
    | element_of_collection(X1,top_of_basis(X0))
    | ~ subset_sets(sF1,X1)
    | element_of_collection(sF1,top_of_basis(X2))
    | ~ element_of_collection(sF1,X0) ) ).

cnf(u4004,axiom,
    ( element_of_set(f19(X1,X2),union_of_members(top_of_basis(X0)))
    | element_of_set(f11(X0,X1),X1)
    | ~ topological_space(X1,X2)
    | hausdorff(X1,X2) ) ).

cnf(u872,axiom,
    ( ~ closed(closure(X3,X1,X2),X7,X8)
    | ~ subset_sets(X3,X0)
    | element_of_set(f11(X4,closure(X3,X1,X2)),X0)
    | element_of_set(f11(X5,closure(X6,X7,X8)),union_of_members(top_of_basis(X4)))
    | element_of_collection(closure(X6,X7,X8),top_of_basis(X5))
    | ~ closed(X0,X1,X2)
    | ~ subset_sets(X6,closure(X3,X1,X2)) ) ).

cnf(u7080,axiom,
    ( ~ closed(f21(X4,X5),X2,X3)
    | ~ element_of_set(X6,closure(X1,X2,X3))
    | element_of_set(X6,f10(X0,closure(X1,X2,X3),X6))
    | ~ subset_sets(X1,f21(X4,X5))
    | ~ topological_space(X4,X5)
    | connected_space(X4,X5)
    | element_of_set(f11(X0,closure(X1,X2,X3)),union_of_members(X5)) ) ).

cnf(u789,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,f20(sF0,X4)),X2,X3)
    | element_of_collection(closure(X1,X2,X3),top_of_basis(X0))
    | ~ subset_sets(X1,f13(a,cx,ct,f20(sF0,X4)))
    | element_of_set(f11(X0,closure(X1,X2,X3)),sF0)
    | ~ topological_space(sF0,X4)
    | hausdorff(sF0,X4) ) ).

cnf(u7737,negated_conjecture,
    ( ~ element_of_set(X4,f13(a,cx,top_of_basis(subspace_topology(X0,X1,X2)),X3))
    | ~ element_of_set(X3,a)
    | ~ topological_space(cx,top_of_basis(subspace_topology(X0,X1,X2)))
    | element_of_set(f11(top_of_basis(subspace_topology(X0,X1,X2)),a),a)
    | topological_space(X0,X1) ) ).

cnf(u746,negated_conjecture,
    ( element_of_set(f11(X0,f1(ct,X1)),union_of_members(ct))
    | ~ element_of_set(X1,cx)
    | element_of_collection(f1(ct,X1),top_of_basis(X0)) ) ).

cnf(u9047,negated_conjecture,
    ( open(f13(a,cx,X0,X1),cx,X0)
    | ~ topological_space(cx,X0)
    | ~ element_of_set(X1,a)
    | element_of_set(f11(X0,a),sF0) ) ).

cnf(u4164,axiom,
    ( ~ topological_space(X3,X4)
    | element_of_set(f11(subspace_topology(X1,X2,X0),X3),X3)
    | subset_sets(X0,X1)
    | hausdorff(X3,X4) ) ).

cnf(u4027,axiom,
    ( element_of_set(f11(X0,closure(X1,X2,X3)),closure(X1,X2,X3))
    | element_of_set(f20(boundary(X1,X2,X3),X4),union_of_members(top_of_basis(X0)))
    | hausdorff(boundary(X1,X2,X3),X4)
    | ~ topological_space(boundary(X1,X2,X3),X4) ) ).

cnf(u1325,negated_conjecture,
    ( element_of_set(f19(f1(top_of_basis(X1),X0),X2),union_of_members(top_of_basis(X1)))
    | element_of_set(f11(X1,sF1),sF1)
    | ~ element_of_set(X0,sF1)
    | ~ topological_space(f1(top_of_basis(X1),X0),X2)
    | hausdorff(f1(top_of_basis(X1),X0),X2) ) ).

cnf(u961,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,X4),X1,X2)
    | ~ subset_sets(X0,f13(a,cx,ct,X4))
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | element_of_set(f19(closure(X0,X1,X2),X3),sF0)
    | ~ element_of_set(X4,sF0) ) ).

cnf(u7377,axiom,
    ( element_of_set(X8,interior(f14(relative_complement_sets(X0,X1),X2,X3,f11(X7,f14(closure(relative_complement_sets(X0,X1),X2,X3),X4,X5,X6))),X1,X9))
    | ~ element_of_collection(closure(relative_complement_sets(X0,X1),X2,X3),X7)
    | ~ subset_sets(relative_complement_sets(X0,X1),X2)
    | ~ topological_space(X2,X3)
    | element_of_set(X6,closure(closure(relative_complement_sets(X0,X1),X2,X3),X4,X5))
    | ~ subset_sets(closure(relative_complement_sets(X0,X1),X2,X3),X4)
    | ~ topological_space(X4,X5)
    | ~ subset_sets(f14(relative_complement_sets(X0,X1),X2,X3,f11(X7,f14(closure(relative_complement_sets(X0,X1),X2,X3),X4,X5,X6))),X1)
    | ~ element_of_set(X8,relative_complement_sets(X0,X1))
    | ~ closed(X0,X1,X9)
    | element_of_collection(f14(closure(relative_complement_sets(X0,X1),X2,X3),X4,X5,X6),top_of_basis(X7)) ) ).

cnf(u12138,axiom,
    hausdorff(X0,X1) ).

cnf(u1654,negated_conjecture,
    ( element_of_set(f7(sF1,X0),f14(a,cx,ct,f11(X1,X2)))
    | ~ topological_space(sF1,X0)
    | basis(sF1,X0)
    | ~ element_of_collection(sF1,X1)
    | element_of_collection(X2,top_of_basis(X1))
    | ~ subset_sets(sF1,X2) ) ).

cnf(u7532,axiom,
    ( element_of_set(f11(X0,f22(X1,X2)),union_of_members(X2))
    | element_of_set(X3,f10(X0,f22(X1,X2),X3))
    | ~ topological_space(X1,X2)
    | connected_space(X1,X2)
    | ~ element_of_set(X3,f22(X1,X2)) ) ).

cnf(u6395,negated_conjecture,
    ( ~ element_of_collection(X0,subspace_topology(X1,X2,boundary(a,cx,ct)))
    | ~ element_of_set(X3,X0)
    | ~ subset_sets(X0,a)
    | element_of_set(X3,interior(a,boundary(a,cx,ct),subspace_topology(X1,X2,boundary(a,cx,ct))))
    | ~ connected_set(boundary(a,cx,ct),X1,X2) ) ).

cnf(u8225,negated_conjecture,
    ( element_of_set(f11(X2,f13(a,cx,X1,X0)),union_of_members(X1))
    | ~ topological_space(cx,X1)
    | element_of_set(f11(X1,a),a)
    | ~ element_of_set(X0,a)
    | element_of_collection(f13(a,cx,X1,X0),top_of_basis(X2)) ) ).

cnf(u648,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,f19(sF0,X4)),X1,X2)
    | ~ subset_sets(X0,f13(a,cx,ct,f19(sF0,X4)))
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | element_of_set(f20(closure(X0,X1,X2),X3),sF0)
    | ~ topological_space(sF0,X4)
    | hausdorff(sF0,X4) ) ).

cnf(u1755,axiom,
    ( ~ element_of_set(X0,f8(X1,top_of_basis(subspace_topology(X2,X3,X4))))
    | subset_sets(X4,X2)
    | basis(X1,top_of_basis(subspace_topology(X2,X3,X4)))
    | ~ topological_space(X1,top_of_basis(subspace_topology(X2,X3,X4))) ) ).

cnf(u8158,negated_conjecture,
    ( ~ subset_sets(sF0,f13(a,cx,ct,X0))
    | ~ element_of_collection(sF0,X1)
    | ~ element_of_set(X0,a)
    | ~ element_of_set(X2,f13(a,cx,ct,X0))
    | element_of_set(X2,union_of_members(top_of_basis(X1))) ) ).

cnf(u7289,axiom,
    ( ~ closed(f13(a,cx,ct,f7(sF0,X0)),X2,X3)
    | basis(sF0,X0)
    | element_of_set(f20(closure(X1,X2,X3),X4),union_of_members(ct))
    | hausdorff(closure(X1,X2,X3),X4)
    | ~ subset_sets(X1,f13(a,cx,ct,f7(sF0,X0)))
    | ~ topological_space(sF0,X0)
    | ~ topological_space(closure(X1,X2,X3),X4) ) ).

cnf(u7077,axiom,
    ( ~ closed(boundary(X4,X5,X6),X2,X3)
    | ~ element_of_set(X7,closure(X1,X2,X3))
    | element_of_set(X7,f10(X0,closure(X1,X2,X3),X7))
    | ~ subset_sets(X1,boundary(X4,X5,X6))
    | topological_space(X5,X6) ) ).

cnf(u10833,negated_conjecture,
    ( element_of_set(f20(interior(X0,X1,X2),X3),interior(a,a,X4))
    | hausdorff(interior(X0,X1,X2),X3) ) ).

cnf(u10475,axiom,
    ( element_of_set(X0,f10(X2,X1,X0))
    | ~ element_of_set(X0,X1) ) ).

cnf(u9039,negated_conjecture,
    ( ~ closed(a,X2,X3)
    | element_of_collection(boundary(X1,X2,X3),top_of_basis(X0))
    | element_of_set(f11(X0,boundary(X1,X2,X3)),sF0)
    | ~ subset_sets(X1,a) ) ).

cnf(u4171,axiom,
    ( element_of_set(f11(subspace_topology(X1,X2,X0),f13(X3,X4,X5,f20(closure(X6,X7,X8),X9))),f13(X3,X4,X5,f20(closure(X6,X7,X8),X9)))
    | subset_sets(X0,X1)
    | ~ subset_sets(X6,interior(X3,X4,X5))
    | ~ closed(interior(X3,X4,X5),X7,X8)
    | ~ topological_space(closure(X6,X7,X8),X9)
    | hausdorff(closure(X6,X7,X8),X9) ) ).

cnf(u7137,axiom,
    ( ~ topological_space(f13(X0,X1,X2,f11(X7,closure(X5,X3,X4))),X8)
    | ~ subset_sets(X5,interior(X0,X1,X2))
    | ~ element_of_set(X6,closure(X5,X3,X4))
    | element_of_set(X6,f10(X7,closure(X5,X3,X4),X6))
    | element_of_set(f20(f13(X0,X1,X2,f11(X7,closure(X5,X3,X4))),X8),interior(X0,X1,X2))
    | ~ closed(interior(X0,X1,X2),X3,X4)
    | hausdorff(f13(X0,X1,X2,f11(X7,closure(X5,X3,X4))),X8) ) ).

cnf(u440,axiom,
    ( ~ closed(X3,X4,subspace_topology(X0,X1,X2))
    | element_of_collection(f12(X0,X1,X2,relative_complement_sets(X3,X4)),X1) ) ).

cnf(u9919,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X0,X1,X2),f13(a,cx,X3,X4)),f13(a,cx,X3,X4))
    | topological_space(X0,X1)
    | element_of_set(f11(X3,a),sF0)
    | ~ element_of_set(X4,a)
    | ~ topological_space(cx,X3) ) ).

cnf(u7702,negated_conjecture,
    ( element_of_set(f7(f13(a,cx,X0,X1),X2),interior(a,cx,X0))
    | ~ element_of_set(X1,a)
    | ~ topological_space(cx,X0)
    | element_of_set(f11(X0,a),a)
    | basis(f13(a,cx,X0,X1),X2)
    | ~ topological_space(f13(a,cx,X0,X1),X2) ) ).

cnf(u1287,negated_conjecture,
    ( element_of_set(f11(X1,sF1),f14(a,cx,ct,X2))
    | element_of_set(X0,union_of_members(top_of_basis(X1)))
    | ~ element_of_set(X0,sF1)
    | element_of_set(X2,sF1) ) ).

cnf(u7065,axiom,
    ( ~ closed(closure(X4,X5,X6),X2,X3)
    | ~ element_of_set(X7,closure(X1,X2,X3))
    | element_of_set(X7,f10(X0,closure(X1,X2,X3),X7))
    | ~ subset_sets(X1,closure(X4,X5,X6))
    | ~ subset_sets(X4,X8)
    | ~ closed(X8,X5,X6)
    | element_of_set(f11(X0,closure(X1,X2,X3)),X8) ) ).

cnf(u637,axiom,
    ( ~ topological_space(closure(X0,X1,X2),X3)
    | ~ subset_sets(X0,intersection_of_members(X4))
    | ~ closed(intersection_of_members(X4),X1,X2)
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ element_of_collection(X5,X4)
    | element_of_set(f20(closure(X0,X1,X2),X3),X5) ) ).

cnf(u9825,axiom,
    ( ~ closed(interior(X0,X1,subspace_topology(X2,X3,X4)),X5,X6)
    | basis(closure(X7,X5,X6),X8)
    | ~ topological_space(closure(X7,X5,X6),X8)
    | ~ subset_sets(X7,interior(X0,X1,subspace_topology(X2,X3,X4)))
    | topological_space(X2,X3) ) ).

cnf(u1421,negated_conjecture,
    ( ~ subset_sets(f14(f13(X0,X1,X2,f7(interior(X0,X1,X2),X3)),cx,ct,X4),X1)
    | basis(interior(X0,X1,X2),X3)
    | ~ element_of_set(X5,f13(X0,X1,X2,f7(interior(X0,X1,X2),X3)))
    | ~ topological_space(interior(X0,X1,X2),X3)
    | element_of_set(X5,interior(f14(f13(X0,X1,X2,f7(interior(X0,X1,X2),X3)),cx,ct,X4),X1,X2))
    | element_of_set(X4,f14(f13(X0,X1,X2,f7(interior(X0,X1,X2),X3)),cx,ct,X6))
    | ~ subset_sets(f13(X0,X1,X2,f7(interior(X0,X1,X2),X3)),a)
    | element_of_set(X6,a)
    | ~ subset_sets(f13(X0,X1,X2,f7(interior(X0,X1,X2),X3)),cx) ) ).

cnf(u4071,axiom,
    ( ~ element_of_collection(f13(boundary(X0,X1,X2),X3,X4,f11(X5,boundary(X0,X1,X2))),X5)
    | element_of_collection(boundary(X0,X1,X2),top_of_basis(X5))
    | ~ subset_sets(X0,interior(boundary(X0,X1,X2),X3,X4))
    | ~ closed(interior(boundary(X0,X1,X2),X3,X4),X1,X2) ) ).

cnf(closure_56,axiom,
    ( subset_sets(X1,f14(X1,X2,X3,X0))
    | element_of_set(X0,closure(X1,X2,X3))
    | ~ subset_sets(X1,X2)
    | ~ topological_space(X2,X3) ) ).

cnf(u1618,axiom,
    ( element_of_set(f7(closure(X0,X1,X2),X3),f13(X4,X5,X6,f7(closure(X0,X1,X2),X3)))
    | ~ subset_sets(X0,interior(X4,X5,X6))
    | ~ closed(interior(X4,X5,X6),X1,X2)
    | basis(closure(X0,X1,X2),X3)
    | ~ topological_space(closure(X0,X1,X2),X3) ) ).

cnf(u6666,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,f11(X3,closure(X0,X1,X2))),X5,X6)
    | element_of_set(f20(closure(X4,X5,X6),X7),interior(a,sF0,ct))
    | ~ closed(sF0,X1,X2)
    | ~ subset_sets(X0,sF0)
    | hausdorff(closure(X4,X5,X6),X7)
    | ~ subset_sets(X4,f13(a,cx,ct,f11(X3,closure(X0,X1,X2))))
    | element_of_collection(closure(X0,X1,X2),top_of_basis(X3))
    | ~ topological_space(closure(X4,X5,X6),X7) ) ).

cnf(u1741,negated_conjecture,
    ( ~ element_of_set(X0,f1(top_of_basis(subspace_topology(X1,X2,X3)),X4))
    | subset_sets(X3,X1)
    | element_of_set(f11(subspace_topology(X1,X2,X3),sF1),f14(a,cx,ct,X5))
    | element_of_set(X5,sF1)
    | ~ element_of_set(X4,sF1) ) ).

cnf(u9029,negated_conjecture,
    ( element_of_collection(f13(a,cx,X0,X1),X0)
    | element_of_set(f11(X0,a),sF0)
    | ~ element_of_set(X1,a)
    | ~ topological_space(cx,X0) ) ).

cnf(u279,axiom,
    ( element_of_collection(f1(X0,f19(union_of_members(X0),X1)),X0)
    | hausdorff(union_of_members(X0),X1)
    | ~ topological_space(union_of_members(X0),X1) ) ).

cnf(u1735,axiom,
    ( ~ topological_space(f13(X1,X2,X3,f20(sF1,X0)),X4)
    | hausdorff(sF1,X0)
    | ~ closed(interior(X1,X2,X3),cx,ct)
    | ~ subset_sets(a,interior(X1,X2,X3))
    | element_of_set(f19(f13(X1,X2,X3,f20(sF1,X0)),X4),interior(X1,X2,X3))
    | ~ topological_space(sF1,X0)
    | hausdorff(f13(X1,X2,X3,f20(sF1,X0)),X4) ) ).

cnf(u884,axiom,
    ( ~ subset_sets(X7,f13(X0,X1,X2,f11(X6,closure(X5,X3,X4))))
    | ~ subset_sets(X5,interior(X0,X1,X2))
    | element_of_collection(closure(X5,X3,X4),top_of_basis(X6))
    | ~ element_of_collection(X7,X8)
    | ~ topological_space(X0,X8)
    | ~ element_of_set(X9,X7)
    | ~ closed(interior(X0,X1,X2),X3,X4)
    | element_of_set(X9,interior(f13(X0,X1,X2,f11(X6,closure(X5,X3,X4))),X0,X8)) ) ).

cnf(u4076,axiom,
    ( ~ closed(f13(a,cx,ct,f19(sF0,X0)),X3,X4)
    | ~ topological_space(sF0,X0)
    | element_of_set(f11(X1,closure(X2,X3,X4)),union_of_members(ct))
    | element_of_collection(closure(X2,X3,X4),top_of_basis(X1))
    | hausdorff(sF0,X0)
    | ~ subset_sets(X2,f13(a,cx,ct,f19(sF0,X0))) ) ).

cnf(u10495,negated_conjecture,
    ( ~ element_of_set(X3,f13(a,cx,X1,X0))
    | ~ element_of_set(X0,a)
    | element_of_set(X3,interior(X2,cx,X1)) ) ).

cnf(u7738,negated_conjecture,
    ( ~ element_of_set(X4,f13(a,cx,top_of_basis(subspace_topology(X0,X1,X2)),X3))
    | ~ element_of_set(X3,a)
    | ~ topological_space(cx,top_of_basis(subspace_topology(X0,X1,X2)))
    | element_of_set(f11(top_of_basis(subspace_topology(X0,X1,X2)),a),a)
    | subset_sets(X2,X0) ) ).

cnf(topology_generated_41,axiom,
    ( ~ element_of_set(f11(X1,X0),X2)
    | element_of_collection(X0,top_of_basis(X1))
    | ~ element_of_collection(X2,X1)
    | ~ subset_sets(X2,X0) ) ).

cnf(u579,axiom,
    ( ~ subset_sets(closure(X2,X3,X4),X0)
    | ~ element_of_collection(closure(X2,X3,X4),X1)
    | element_of_collection(X0,top_of_basis(X1))
    | subset_sets(X2,f14(X2,X3,X4,f11(X1,X0)))
    | ~ subset_sets(X2,X3)
    | ~ topological_space(X3,X4) ) ).

cnf(u6617,negated_conjecture,
    ( hausdorff(closure(X2,X0,X1),subspace_topology(X3,X4,closure(X2,X0,X1)))
    | ~ subset_sets(X2,sF0)
    | ~ closed(sF0,X0,X1)
    | ~ connected_set(closure(X2,X0,X1),X3,X4) ) ).

cnf(u953,negated_conjecture,
    ( ~ closed(intersection_of_sets(X4,X5),X1,X2)
    | ~ subset_sets(X0,intersection_of_sets(X4,X5))
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | element_of_set(f19(closure(X0,X1,X2),X3),union_of_members(ct))
    | ~ element_of_collection(X5,ct)
    | ~ element_of_collection(X4,ct) ) ).

cnf(u6564,negated_conjecture,
    ( ~ closed(boundary(X2,X0,X1),X5,X6)
    | ~ subset_sets(X2,sF1)
    | element_of_collection(boundary(X4,X5,X6),top_of_basis(X3))
    | ~ closed(sF1,X0,X1)
    | ~ subset_sets(X4,boundary(X2,X0,X1)) ) ).

cnf(u4082,axiom,
    ( ~ closed(f13(a,cx,ct,f19(sF0,X0)),X2,X3)
    | ~ topological_space(sF0,X0)
    | element_of_set(f20(closure(X1,X2,X3),X4),union_of_members(ct))
    | hausdorff(closure(X1,X2,X3),X4)
    | ~ subset_sets(X1,f13(a,cx,ct,f19(sF0,X0)))
    | hausdorff(sF0,X0)
    | ~ topological_space(closure(X1,X2,X3),X4) ) ).

cnf(u3976,axiom,
    ( ~ closed(X1,X4,X5)
    | element_of_set(f11(X2,boundary(X3,X4,X5)),union_of_members(top_of_basis(X0)))
    | element_of_collection(boundary(X3,X4,X5),top_of_basis(X2))
    | element_of_set(f11(X0,X1),X1)
    | ~ subset_sets(X3,X1) ) ).

cnf(u7457,axiom,
    ( ~ subset_sets(f10(X2,X3,f11(X0,X1)),X1)
    | ~ element_of_set(f11(X0,X1),X3)
    | element_of_collection(X1,top_of_basis(X0))
    | ~ element_of_collection(f10(X2,X3,f11(X0,X1)),X0)
    | element_of_set(f11(X2,X3),X3) ) ).

cnf(u9302,negated_conjecture,
    ( element_of_set(X5,interior(f14(f13(a,cx,X1,X0),X2,X3,X4),cx,X1))
    | element_of_set(f11(X1,a),sF0)
    | ~ subset_sets(f14(f13(a,cx,X1,X0),X2,X3,X4),cx)
    | ~ element_of_set(X5,f13(a,cx,X1,X0))
    | ~ topological_space(cx,X1)
    | ~ element_of_set(X0,a)
    | ~ closed(sF1,X2,X3)
    | ~ subset_sets(f13(a,cx,X1,X0),sF1)
    | ~ subset_sets(f13(a,cx,X1,X0),X2) ) ).

cnf(u1619,axiom,
    ( open(f13(X4,X5,X6,f7(closure(X0,X1,X2),X3)),X5,X6)
    | ~ subset_sets(X0,interior(X4,X5,X6))
    | ~ closed(interior(X4,X5,X6),X1,X2)
    | basis(closure(X0,X1,X2),X3)
    | ~ topological_space(closure(X0,X1,X2),X3) ) ).

cnf(closure_53,axiom,
    ( ~ element_of_set(X0,closure(X1,X2,X3))
    | topological_space(X2,X3) ) ).

cnf(u3904,axiom,
    ( ~ element_of_set(X1,f13(a,cx,ct,f11(X0,sF0)))
    | element_of_collection(sF0,top_of_basis(X0))
    | element_of_set(X1,union_of_members(ct)) ) ).

cnf(u11241,axiom,
    ( eq_p(f20(closure(X0,X5,X6),X7),X1)
    | limit_point(X1,X2,X3,X4)
    | hausdorff(closure(X0,X5,X6),X7) ) ).

cnf(basis_for_topology_30,axiom,
    ( ~ element_of_set(X2,intersection_of_sets(X3,X4))
    | ~ element_of_set(X2,X0)
    | ~ element_of_collection(X3,X1)
    | ~ element_of_collection(X4,X1)
    | ~ basis(X0,X1)
    | element_of_collection(f6(X0,X1,X2,X3,X4),X1) ) ).

cnf(u7371,axiom,
    ( element_of_set(f20(f9(X0,X1),X2),union_of_members(X1))
    | basis(X0,X1)
    | ~ topological_space(X0,X1)
    | ~ topological_space(f9(X0,X1),X2)
    | hausdorff(f9(X0,X1),X2) ) ).

cnf(u162,axiom,
    ( open(f13(a,cx,ct,X0),cx,ct)
    | ~ element_of_set(X0,sF0) ) ).

cnf(u2562,axiom,
    ( ~ topological_space(boundary(X3,X4,X5),X7)
    | element_of_set(f11(subspace_topology(X1,X2,X0),closure(X3,X4,X5)),X6)
    | ~ closed(X6,X4,X5)
    | ~ subset_sets(X3,X6)
    | hausdorff(boundary(X3,X4,X5),X7)
    | subset_sets(X0,X1) ) ).

cnf(u1452,negated_conjecture,
    ( ~ subset_sets(f14(f13(a,cx,ct,f11(X0,sF0)),cx,ct,X1),cx)
    | ~ element_of_set(X2,f13(a,cx,ct,f11(X0,sF0)))
    | element_of_collection(sF0,top_of_basis(X0))
    | element_of_set(X2,interior(f14(f13(a,cx,ct,f11(X0,sF0)),cx,ct,X1),cx,ct))
    | element_of_set(X1,f14(f13(a,cx,ct,f11(X0,sF0)),cx,ct,X3))
    | element_of_set(X3,a)
    | ~ subset_sets(f13(a,cx,ct,f11(X0,sF0)),cx) ) ).

cnf(u8056,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,f11(X5,sF0)),X2,X3)
    | ~ element_of_set(X4,sF0)
    | element_of_set(X4,f10(X5,sF0,X4))
    | element_of_collection(boundary(X1,X2,X3),top_of_basis(X0))
    | element_of_set(f11(X0,boundary(X1,X2,X3)),sF0)
    | ~ subset_sets(X1,f13(a,cx,ct,f11(X5,sF0))) ) ).

cnf(u9619,negated_conjecture,
    ( ~ closed(f13(a,cx,X0,f11(subspace_topology(X2,X7,X1),interior(a,cx,X0))),X5,X6)
    | ~ topological_space(cx,X0)
    | subset_sets(X1,X2)
    | element_of_set(f11(X3,closure(X4,X5,X6)),interior(a,cx,X0))
    | element_of_collection(closure(X4,X5,X6),top_of_basis(X3))
    | element_of_set(f11(X0,a),sF0)
    | ~ subset_sets(X4,f13(a,cx,X0,f11(subspace_topology(X2,X7,X1),interior(a,cx,X0)))) ) ).

cnf(u1641,axiom,
    ( ~ closed(f14(X4,X5,X6,f7(closure(X0,X1,X2),X3)),X1,X2)
    | ~ subset_sets(X0,f14(X4,X5,X6,f7(closure(X0,X1,X2),X3)))
    | ~ topological_space(closure(X0,X1,X2),X3)
    | basis(closure(X0,X1,X2),X3)
    | ~ topological_space(X5,X6)
    | ~ subset_sets(X4,X5)
    | element_of_set(f7(closure(X0,X1,X2),X3),closure(X4,X5,X6)) ) ).

cnf(u7368,axiom,
    ( ~ closed(f9(X0,X1),X4,X5)
    | basis(X0,X1)
    | element_of_set(f11(X2,boundary(X3,X4,X5)),union_of_members(X1))
    | element_of_collection(boundary(X3,X4,X5),top_of_basis(X2))
    | ~ topological_space(X0,X1)
    | ~ subset_sets(X3,f9(X0,X1)) ) ).

cnf(u505,axiom,
    ( ~ element_of_set(X4,f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)))
    | ~ topological_space(interior(X0,X1,X2),X3)
    | hausdorff(interior(X0,X1,X2),X3)
    | element_of_set(X4,interior(X0,X1,X2)) ) ).

cnf(u304,negated_conjecture,
    ( element_of_set(X0,f1(ct,X0))
    | ~ element_of_set(X0,cx) ) ).

cnf(u1070,negated_conjecture,
    ( element_of_set(f20(f13(a,cx,ct,f7(sF0,X0)),X1),sF0)
    | basis(sF0,X0)
    | ~ topological_space(sF0,X0)
    | ~ topological_space(f13(a,cx,ct,f7(sF0,X0)),X1)
    | hausdorff(f13(a,cx,ct,f7(sF0,X0)),X1) ) ).

cnf(u324,axiom,
    ( limit_point(X2,X3,X4,subspace_topology(X0,X1,X5))
    | topological_space(X0,X1)
    | ~ topological_space(X4,subspace_topology(X0,X1,X5))
    | ~ subset_sets(X3,X4) ) ).

cnf(u15607,axiom,
    ( ~ open_covering(f23(X0,f24(X1,X2),X3),X1,X2)
    | ~ open_covering(X3,X0,f24(X1,X2))
    | compact_space(X1,X2)
    | ~ compact_space(X0,f24(X1,X2)) ) ).

cnf(u11963,axiom,
    ~ element_of_set(X0,relative_complement_sets(X1,X2)) ).

cnf(u44747,axiom,
    ( ~ subset_collections(f23(X1,f24(X2,X3),X0),X3)
    | compact_space(X2,X3)
    | ~ compact_space(X1,f24(X2,X3))
    | ~ open_covering(X0,X1,f24(X2,X3)) ) ).

cnf(u7427,negated_conjecture,
    ( subset_sets(a,f14(a,cx,ct,f11(X0,f14(sF1,X1,X2,X3))))
    | element_of_collection(f14(sF1,X1,X2,X3),top_of_basis(X0))
    | ~ element_of_collection(sF1,X0)
    | element_of_set(X3,closure(sF1,X1,X2))
    | ~ subset_sets(sF1,X1)
    | ~ topological_space(X1,X2) ) ).

cnf(u7068,axiom,
    ( ~ closed(closure(X4,X5,X6),X2,X3)
    | ~ element_of_set(X7,closure(X1,X2,X3))
    | element_of_set(X7,f10(X0,closure(X1,X2,X3),X7))
    | ~ subset_sets(X1,closure(X4,X5,X6))
    | subset_sets(X8,X9)
    | element_of_set(f11(subspace_topology(X9,X10,X8),closure(X4,X5,X6)),X11)
    | ~ closed(X11,X5,X6)
    | ~ subset_sets(X4,X11) ) ).

cnf(u633,axiom,
    ( element_of_set(f20(closure(X0,X1,X2),X3),f1(X4,f20(closure(X0,X1,X2),X3)))
    | ~ subset_sets(X0,union_of_members(X4))
    | ~ closed(union_of_members(X4),X1,X2)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | hausdorff(closure(X0,X1,X2),X3) ) ).

cnf(u6808,negated_conjecture,
    ( ~ closed(closure(X0,X1,X2),X5,X6)
    | ~ closed(sF1,X1,X2)
    | element_of_collection(closure(X4,X5,X6),top_of_basis(X3))
    | ~ subset_sets(X0,sF1)
    | ~ subset_sets(X4,closure(X0,X1,X2)) ) ).

cnf(u2554,axiom,
    ( ~ closed(closure(X3,X4,X5),X8,X9)
    | element_of_set(f11(subspace_topology(X1,X2,X0),closure(X3,X4,X5)),X6)
    | ~ closed(X6,X4,X5)
    | ~ subset_sets(X3,X6)
    | ~ topological_space(closure(X7,X8,X9),X10)
    | ~ subset_sets(X7,closure(X3,X4,X5))
    | subset_sets(X0,X1)
    | basis(closure(X7,X8,X9),X10) ) ).

cnf(u1364,axiom,
    ( element_of_collection(f6(X4,X6,f20(closure(X0,X1,X2),X3),X5,X7),X6)
    | ~ element_of_collection(X5,X6)
    | ~ element_of_collection(X7,X6)
    | ~ basis(X4,X6)
    | ~ element_of_set(f20(closure(X0,X1,X2),X3),X4)
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ subset_sets(X0,intersection_of_sets(X5,X7))
    | ~ closed(intersection_of_sets(X5,X7),X1,X2)
    | ~ topological_space(closure(X0,X1,X2),X3) ) ).

cnf(u1006,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,f19(closure(X2,X0,X1),X3)),X6,X7)
    | ~ subset_sets(X2,sF0)
    | ~ topological_space(closure(X2,X0,X1),X3)
    | hausdorff(closure(X2,X0,X1),X3)
    | element_of_set(f11(X4,closure(X5,X6,X7)),sF0)
    | element_of_collection(closure(X5,X6,X7),top_of_basis(X4))
    | ~ closed(sF0,X0,X1)
    | ~ subset_sets(X5,f13(a,cx,ct,f19(closure(X2,X0,X1),X3))) ) ).

cnf(u9025,negated_conjecture,
    ( element_of_set(f7(a,X0),sF0)
    | basis(a,X0)
    | ~ topological_space(a,X0) ) ).

cnf(u7386,axiom,
    ( element_of_set(X10,interior(f14(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4,X5,f11(X9,f14(closure(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4,X5),X6,X7,X8))),X1,X2))
    | ~ element_of_collection(closure(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4,X5),X9)
    | ~ subset_sets(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4)
    | ~ topological_space(X4,X5)
    | element_of_set(X8,closure(closure(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4,X5),X6,X7))
    | ~ subset_sets(closure(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4,X5),X6)
    | ~ topological_space(X6,X7)
    | ~ subset_sets(f14(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4,X5,f11(X9,f14(closure(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4,X5),X6,X7,X8))),X1)
    | ~ element_of_set(X10,f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))))
    | element_of_collection(interior(X0,X1,X2),top_of_basis(X3))
    | element_of_collection(f14(closure(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4,X5),X6,X7,X8),top_of_basis(X9)) ) ).

cnf(u3593,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,f11(X4,sF0)),X2,X3)
    | element_of_collection(boundary(X1,X2,X3),top_of_basis(X0))
    | ~ subset_sets(X1,f13(a,cx,ct,f11(X4,sF0)))
    | element_of_set(f11(X0,boundary(X1,X2,X3)),sF0)
    | element_of_collection(sF0,top_of_basis(X4)) ) ).

cnf(u11701,axiom,
    ( limit_point(X0,X4,X5,X6)
    | element_of_set(X0,f13(X1,X2,X3,X0)) ) ).

cnf(u7400,axiom,
    ( element_of_set(X10,interior(f14(f16(X0,X1,X2,X3),X4,X5,f11(X9,f14(closure(f16(X0,X1,X2,X3),X4,X5),X6,X7,X8))),X2,X3))
    | ~ element_of_collection(closure(f16(X0,X1,X2,X3),X4,X5),X9)
    | ~ subset_sets(f16(X0,X1,X2,X3),X4)
    | ~ topological_space(X4,X5)
    | element_of_set(X8,closure(closure(f16(X0,X1,X2,X3),X4,X5),X6,X7))
    | ~ subset_sets(closure(f16(X0,X1,X2,X3),X4,X5),X6)
    | ~ topological_space(X6,X7)
    | limit_point(X0,X1,X2,X3)
    | ~ topological_space(X2,X3)
    | ~ subset_sets(f14(f16(X0,X1,X2,X3),X4,X5,f11(X9,f14(closure(f16(X0,X1,X2,X3),X4,X5),X6,X7,X8))),X2)
    | ~ element_of_set(X10,f16(X0,X1,X2,X3))
    | ~ subset_sets(X1,X2)
    | element_of_collection(f14(closure(f16(X0,X1,X2,X3),X4,X5),X6,X7,X8),top_of_basis(X9)) ) ).

cnf(u880,negated_conjecture,
    ( ~ subset_sets(a,f14(X1,cx,ct,X2))
    | ~ element_of_set(X0,sF1)
    | element_of_set(f11(X3,sF1),f14(X1,cx,ct,X2))
    | element_of_set(X0,union_of_members(top_of_basis(X3)))
    | ~ subset_sets(X1,a)
    | ~ subset_sets(X1,cx)
    | element_of_set(X2,a) ) ).

cnf(u6602,negated_conjecture,
    ( element_of_set(f20(closure(X0,X1,X2),X3),f13(a,sF0,ct,f20(closure(X0,X1,X2),X3)))
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ subset_sets(X0,sF0)
    | ~ closed(sF0,X1,X2)
    | ~ topological_space(closure(X0,X1,X2),X3) ) ).

cnf(u8045,negated_conjecture,
    ( ~ element_of_set(X2,f13(a,cx,ct,f11(X0,sF0)))
    | element_of_set(X2,sF0)
    | ~ element_of_set(X1,sF0)
    | element_of_set(X1,f10(X0,sF0,X1)) ) ).

cnf(u9911,negated_conjecture,
    ( ~ subset_sets(f14(f13(a,cx,ct,X3),cx,ct,X4),cx)
    | element_of_set(f11(subspace_topology(X0,X1,X2),interior(f14(f13(a,cx,ct,X3),cx,ct,X4),cx,ct)),interior(f14(f13(a,cx,ct,X3),cx,ct,X4),cx,ct))
    | element_of_set(X4,a)
    | topological_space(X0,X1)
    | ~ element_of_set(X5,f13(a,cx,ct,X3))
    | ~ element_of_set(X3,sF0)
    | ~ subset_sets(f13(a,cx,ct,X3),cx) ) ).

cnf(u10491,axiom,
    ( ~ element_of_set(X5,f16(X0,X1,X2,X3))
    | limit_point(X0,X1,X2,X3)
    | element_of_set(X5,interior(X4,X2,X3)) ) ).

cnf(u9186,negated_conjecture,
    ( element_of_set(f7(a,X0),union_of_members(top_of_basis(X1)))
    | ~ topological_space(a,X0)
    | element_of_set(f11(X1,sF0),sF0)
    | basis(a,X0) ) ).

cnf(u3960,axiom,
    ( element_of_set(f11(X0,closure(X1,X2,X3)),closure(X1,X2,X3))
    | closed(f14(X1,X2,X3,X4),X2,X3)
    | element_of_set(X4,union_of_members(top_of_basis(X0)))
    | ~ subset_sets(X1,X2)
    | ~ topological_space(X2,X3) ) ).

cnf(u1315,axiom,
    ( limit_point(X0,X1,X2,subspace_topology(X3,subspace_topology(X4,X5,X6),X7))
    | ~ topological_space(X2,subspace_topology(X3,subspace_topology(X4,X5,X6),X7))
    | ~ subset_sets(X1,X2)
    | topological_space(X4,X5) ) ).

cnf(u6978,negated_conjecture,
    ( element_of_set(X0,f10(X2,f13(a,cx,ct,X1),X0))
    | ~ element_of_set(X0,f13(a,cx,ct,X1))
    | ~ element_of_set(X1,sF0)
    | ~ element_of_collection(sF0,X2)
    | ~ subset_sets(sF0,f13(a,cx,ct,X1)) ) ).

cnf(u8230,negated_conjecture,
    ( element_of_set(f19(f13(a,cx,X1,X0),X2),union_of_members(X1))
    | ~ topological_space(cx,X1)
    | element_of_set(f11(X1,a),a)
    | ~ element_of_set(X0,a)
    | ~ topological_space(f13(a,cx,X1,X0),X2)
    | hausdorff(f13(a,cx,X1,X0),X2) ) ).

cnf(u1749,axiom,
    ( ~ element_of_set(X0,closure(X1,X2,X3))
    | subset_sets(X4,X5)
    | element_of_set(f11(subspace_topology(X5,X6,X4),closure(X1,X2,X3)),X7)
    | ~ closed(X7,X2,X3)
    | ~ subset_sets(X1,X7) ) ).

cnf(u924,axiom,
    ( ~ closed(f13(closure(X0,X1,X2),X3,X4,f11(X5,interior(closure(X0,X1,X2),X3,X4))),X1,X2)
    | element_of_collection(interior(closure(X0,X1,X2),X3,X4),top_of_basis(X5))
    | ~ subset_sets(X0,f13(closure(X0,X1,X2),X3,X4,f11(X5,interior(closure(X0,X1,X2),X3,X4))))
    | ~ element_of_collection(f13(closure(X0,X1,X2),X3,X4,f11(X5,interior(closure(X0,X1,X2),X3,X4))),X6)
    | element_of_collection(closure(X0,X1,X2),top_of_basis(X6)) ) ).

cnf(u8059,negated_conjecture,
    ( ~ topological_space(f13(a,cx,ct,f11(X0,sF0)),X1)
    | ~ element_of_set(X2,sF0)
    | element_of_set(X2,f10(X0,sF0,X2))
    | element_of_set(f20(f13(a,cx,ct,f11(X0,sF0)),X1),sF0)
    | hausdorff(f13(a,cx,ct,f11(X0,sF0)),X1) ) ).

cnf(u410,axiom,
    ( element_of_collection(f8(X0,X1),X1)
    | basis(X0,X1)
    | ~ topological_space(X0,X1) ) ).

cnf(u502,negated_conjecture,
    ( element_of_set(X5,interior(f14(f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),cx,ct,X4),X1,X2))
    | ~ subset_sets(f14(f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),cx,ct,X4),X1)
    | ~ element_of_set(X5,f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)))
    | hausdorff(interior(X0,X1,X2),X3)
    | ~ topological_space(interior(X0,X1,X2),X3)
    | ~ subset_sets(f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),a)
    | ~ subset_sets(f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),cx)
    | element_of_set(X4,a) ) ).

cnf(u1377,axiom,
    ( ~ limit_point(X6,X4,X7,subspace_topology(X5,X2,X3))
    | ~ subset_sets(X4,X0)
    | ~ topological_space(X5,X2)
    | ~ subset_sets(X3,X5)
    | limit_point(X6,X4,X0,subspace_topology(X1,X2,X3))
    | ~ topological_space(X0,subspace_topology(X1,X2,X3)) ) ).

cnf(u7000,axiom,
    ( element_of_set(X0,f10(X2,f21(X1,top_of_basis(X2)),X0))
    | ~ element_of_set(X0,f21(X1,top_of_basis(X2)))
    | connected_space(X1,top_of_basis(X2))
    | ~ topological_space(X1,top_of_basis(X2)) ) ).

cnf(u7669,negated_conjecture,
    ( element_of_collection(f13(a,cx,X0,X1),X0)
    | element_of_set(f11(X0,a),a)
    | ~ element_of_set(X1,a)
    | ~ topological_space(cx,X0) ) ).

cnf(u1763,axiom,
    ( ~ element_of_set(X0,f13(X1,X2,top_of_basis(subspace_topology(X3,X4,X5)),f19(closure(X6,X7,X8),X9)))
    | subset_sets(X5,X3)
    | ~ closed(interior(X1,X2,top_of_basis(subspace_topology(X3,X4,X5))),X7,X8)
    | ~ topological_space(closure(X6,X7,X8),X9)
    | hausdorff(closure(X6,X7,X8),X9)
    | ~ subset_sets(X6,interior(X1,X2,top_of_basis(subspace_topology(X3,X4,X5)))) ) ).

cnf(finer_topology_26,axiom,
    ( ~ finer(X0,X1,X2)
    | subset_collections(X1,X0) ) ).

cnf(u6928,axiom,
    ( ~ topological_space(union_of_members(subspace_topology(X0,X1,X2)),X3)
    | hausdorff(union_of_members(subspace_topology(X0,X1,X2)),X3)
    | subset_sets(X2,X0) ) ).

cnf(u9797,axiom,
    ( ~ element_of_set(X4,f1(top_of_basis(subspace_topology(X0,X1,X2)),f11(X3,union_of_members(top_of_basis(subspace_topology(X0,X1,X2))))))
    | element_of_collection(union_of_members(top_of_basis(subspace_topology(X0,X1,X2))),top_of_basis(X3))
    | topological_space(X0,X1) ) ).

cnf(u7369,axiom,
    ( element_of_set(f19(f9(X0,X1),X2),union_of_members(X1))
    | basis(X0,X1)
    | ~ topological_space(X0,X1)
    | ~ topological_space(f9(X0,X1),X2)
    | hausdorff(f9(X0,X1),X2) ) ).

cnf(u6599,negated_conjecture,
    ( element_of_set(f20(closure(X0,X1,X2),X3),interior(a,sF0,ct))
    | ~ topological_space(closure(X0,X1,X2),X3)
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ subset_sets(X0,sF0)
    | ~ closed(sF0,X1,X2) ) ).

cnf(u3998,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X1,X2,X3),sF1),union_of_members(top_of_basis(X0)))
    | element_of_set(f11(X0,a),a)
    | topological_space(X1,X2) ) ).

cnf(u6938,axiom,
    ( element_of_set(f20(f13(a,cx,ct,f20(sF0,X0)),X1),union_of_members(ct))
    | ~ topological_space(sF0,X0)
    | hausdorff(sF0,X0)
    | ~ topological_space(f13(a,cx,ct,f20(sF0,X0)),X1)
    | hausdorff(f13(a,cx,ct,f20(sF0,X0)),X1) ) ).

cnf(u10567,negated_conjecture,
    ( hausdorff(f13(a,cx,ct,X0),X1)
    | ~ element_of_set(X0,a) ) ).

cnf(u389,negated_conjecture,
    ( element_of_set(f19(f13(a,cx,ct,f20(sF0,X0)),X1),sF0)
    | ~ topological_space(sF0,X0)
    | hausdorff(sF0,X0)
    | ~ topological_space(f13(a,cx,ct,f20(sF0,X0)),X1)
    | hausdorff(f13(a,cx,ct,f20(sF0,X0)),X1) ) ).

cnf(u1689,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,f7(closure(X2,X0,X1),X3)),X5,X6)
    | ~ subset_sets(X2,sF0)
    | basis(closure(X2,X0,X1),X3)
    | ~ topological_space(closure(X2,X0,X1),X3)
    | element_of_set(f20(closure(X4,X5,X6),X7),sF0)
    | hausdorff(closure(X4,X5,X6),X7)
    | ~ subset_sets(X4,f13(a,cx,ct,f7(closure(X2,X0,X1),X3)))
    | ~ closed(sF0,X0,X1)
    | ~ topological_space(closure(X4,X5,X6),X7) ) ).

cnf(u9514,negated_conjecture,
    ( element_of_set(X4,interior(a,cx,subspace_topology(X2,X3,f13(a,cx,X1,X0))))
    | element_of_set(f11(X1,a),sF0)
    | ~ topological_space(cx,subspace_topology(X2,X3,f13(a,cx,X1,X0)))
    | ~ element_of_set(X4,f13(a,cx,X1,X0))
    | ~ topological_space(cx,X1)
    | ~ element_of_set(X0,a)
    | ~ connected_set(f13(a,cx,X1,X0),X2,X3) ) ).

cnf(u9206,negated_conjecture,
    ( ~ element_of_set(X2,f13(a,cx,X0,X1))
    | ~ element_of_set(X1,a)
    | ~ topological_space(cx,X0)
    | element_of_set(f11(X0,a),sF0)
    | element_of_set(X2,union_of_members(X0)) ) ).

cnf(u7497,axiom,
    ( element_of_set(f11(X0,f13(a,cx,ct,f20(sF0,X1))),union_of_members(ct))
    | element_of_set(X2,f10(X0,f13(a,cx,ct,f20(sF0,X1)),X2))
    | hausdorff(sF0,X1)
    | ~ topological_space(sF0,X1)
    | ~ element_of_set(X2,f13(a,cx,ct,f20(sF0,X1))) ) ).

cnf(u10025,axiom,
    ( ~ topological_space(closure(X4,X5,X6),X7)
    | element_of_set(f11(subspace_topology(X0,X1,X2),X3),X3)
    | hausdorff(closure(X4,X5,X6),X7)
    | ~ subset_sets(X4,X3)
    | ~ closed(X3,X5,X6)
    | topological_space(X0,X1) ) ).

cnf(u6586,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,f20(closure(X0,X1,X2),X3)),X5,X6)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | element_of_set(f7(closure(X4,X5,X6),X7),interior(a,sF0,ct))
    | ~ subset_sets(X0,sF0)
    | ~ closed(sF0,X1,X2)
    | ~ topological_space(closure(X4,X5,X6),X7)
    | ~ subset_sets(X4,f13(a,cx,ct,f20(closure(X0,X1,X2),X3)))
    | hausdorff(closure(X0,X1,X2),X3)
    | basis(closure(X4,X5,X6),X7) ) ).

cnf(u3614,axiom,
    ( ~ closed(boundary(X4,X5,X6),X2,X3)
    | element_of_collection(boundary(X1,X2,X3),top_of_basis(X0))
    | ~ subset_sets(X1,boundary(X4,X5,X6))
    | subset_sets(X4,X5) ) ).

cnf(u8354,axiom,
    ( ~ subset_sets(f10(X2,interior(X3,X4,X5),f11(X0,X1)),X1)
    | ~ element_of_set(f11(X0,X1),interior(X3,X4,X5))
    | element_of_collection(X1,top_of_basis(X0))
    | ~ element_of_collection(f10(X2,interior(X3,X4,X5),f11(X0,X1)),X0)
    | open(f13(X3,X4,X5,f11(X2,interior(X3,X4,X5))),X4,X5) ) ).

cnf(topological_space_11,axiom,
    ( ~ subset_collections(X2,X1)
    | ~ topological_space(X0,X1)
    | element_of_collection(union_of_members(X2),X1) ) ).

cnf(u44761,axiom,
    ( ~ compact_space(intersection_of_sets(X0,f12(X1,X2,X0,union_of_members(X3))),f24(X4,X3))
    | compact_space(X4,X3)
    | ~ subset_collections(X3,f24(X4,X3)) ) ).

cnf(u4172,axiom,
    ( ~ topological_space(boundary(X3,X4,X5),X6)
    | element_of_set(f11(subspace_topology(X1,X2,X0),closure(X3,X4,X5)),closure(X3,X4,X5))
    | hausdorff(boundary(X3,X4,X5),X6)
    | subset_sets(X0,X1) ) ).

cnf(u3948,negated_conjecture,
    ( element_of_set(f11(X1,sF1),f14(a,cx,ct,X3))
    | element_of_set(f11(X0,union_of_members(top_of_basis(X1))),union_of_members(top_of_basis(X1)))
    | element_of_set(X2,union_of_members(top_of_basis(X0)))
    | ~ element_of_set(X2,sF1)
    | element_of_set(X3,sF1) ) ).

cnf(u3715,axiom,
    ( ~ element_of_set(X0,f16(X1,X2,X3,top_of_basis(subspace_topology(X4,X5,X6))))
    | topological_space(X4,X5)
    | limit_point(X1,X2,X3,top_of_basis(subspace_topology(X4,X5,X6)))
    | ~ topological_space(X3,top_of_basis(subspace_topology(X4,X5,X6)))
    | ~ subset_sets(X2,X3) ) ).

cnf(u1626,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,f11(X4,closure(X5,X6,X7))),X1,X2)
    | ~ subset_sets(X0,f13(a,cx,ct,f11(X4,closure(X5,X6,X7))))
    | ~ topological_space(closure(X0,X1,X2),X3)
    | basis(closure(X0,X1,X2),X3)
    | ~ subset_sets(X5,sF0)
    | ~ closed(sF0,X6,X7)
    | element_of_collection(closure(X5,X6,X7),top_of_basis(X4))
    | element_of_set(f7(closure(X0,X1,X2),X3),sF0) ) ).

cnf(u7504,axiom,
    ( element_of_set(f11(X0,f13(X1,X2,X3,f11(X4,closure(X5,X6,X7)))),interior(X1,X2,X3))
    | element_of_set(X8,f10(X0,f13(X1,X2,X3,f11(X4,closure(X5,X6,X7))),X8))
    | element_of_collection(closure(X5,X6,X7),top_of_basis(X4))
    | ~ subset_sets(X5,interior(X1,X2,X3))
    | ~ closed(interior(X1,X2,X3),X6,X7)
    | ~ element_of_set(X8,f13(X1,X2,X3,f11(X4,closure(X5,X6,X7)))) ) ).

cnf(u7149,axiom,
    ( ~ subset_sets(f13(X0,X1,X2,f11(X3,closure(X4,X5,X6))),X8)
    | ~ closed(interior(X0,X1,X2),X5,X6)
    | ~ subset_sets(X4,interior(X0,X1,X2))
    | ~ element_of_set(X7,closure(X4,X5,X6))
    | ~ subset_sets(X8,X1)
    | ~ element_of_set(X9,f13(X0,X1,X2,f11(X3,closure(X4,X5,X6))))
    | element_of_set(X7,f10(X3,closure(X4,X5,X6),X7))
    | element_of_set(X9,interior(X8,X1,X2)) ) ).

cnf(u3885,negated_conjecture,
    ( ~ subset_sets(a,f14(X0,cx,ct,f11(X4,f14(closure(X0,cx,ct),X1,X2,X3))))
    | ~ element_of_collection(closure(X0,cx,ct),X4)
    | ~ subset_sets(X0,cx)
    | element_of_set(X3,closure(closure(X0,cx,ct),X1,X2))
    | ~ subset_sets(closure(X0,cx,ct),X1)
    | ~ topological_space(X1,X2)
    | ~ subset_sets(f14(X0,cx,ct,f11(X4,f14(closure(X0,cx,ct),X1,X2,X3))),sF1)
    | element_of_collection(f14(closure(X0,cx,ct),X1,X2,X3),top_of_basis(X4))
    | ~ element_of_collection(f14(X0,cx,ct,f11(X4,f14(closure(X0,cx,ct),X1,X2,X3))),X5)
    | element_of_collection(sF1,top_of_basis(X5)) ) ).

cnf(u9037,negated_conjecture,
    ( element_of_set(X4,f10(X0,closure(X1,X2,X3),X4))
    | element_of_set(f11(X0,closure(X1,X2,X3)),sF0)
    | ~ element_of_set(X4,closure(X1,X2,X3))
    | ~ closed(a,X2,X3)
    | ~ subset_sets(X1,a) ) ).

cnf(u3955,axiom,
    ( element_of_set(f11(X0,f1(X1,X2)),f1(X1,X2))
    | limit_point(X2,X3,X4,X1)
    | element_of_set(X2,union_of_members(top_of_basis(X0)))
    | ~ topological_space(X4,X1)
    | ~ subset_sets(X3,X4) ) ).

cnf(u11444,axiom,
    ( element_of_set(f20(boundary(X0,X1,X2),X3),interior(X4,X5,X6))
    | hausdorff(boundary(X0,X1,X2),X3) ) ).

cnf(u8186,negated_conjecture,
    ( ~ subset_sets(union_of_members(top_of_basis(ct)),X1)
    | element_of_collection(X1,top_of_basis(X0))
    | ~ element_of_collection(union_of_members(top_of_basis(ct)),X0)
    | ~ element_of_set(f11(X0,X1),a) ) ).

cnf(u9156,negated_conjecture,
    ( element_of_set(f7(f13(a,cx,X1,X0),X2),interior(a,cx,X1))
    | element_of_set(f11(X1,a),sF0)
    | ~ topological_space(cx,X1)
    | ~ element_of_set(X0,a)
    | basis(f13(a,cx,X1,X0),X2)
    | ~ topological_space(f13(a,cx,X1,X0),X2) ) ).

cnf(u618,negated_conjecture,
    ( ~ subset_sets(f14(f13(a,cx,ct,f19(sF0,X0)),cx,ct,X1),cx)
    | element_of_set(X2,a)
    | ~ subset_sets(f13(a,cx,ct,f19(sF0,X0)),cx)
    | ~ topological_space(sF0,X0)
    | element_of_set(X1,f14(f13(a,cx,ct,f19(sF0,X0)),cx,ct,X2))
    | ~ element_of_set(X3,f13(a,cx,ct,f19(sF0,X0)))
    | hausdorff(sF0,X0)
    | element_of_set(X3,interior(f14(f13(a,cx,ct,f19(sF0,X0)),cx,ct,X1),cx,ct)) ) ).

cnf(u4035,axiom,
    ( element_of_set(f7(f13(X4,X5,X6,f11(X3,closure(X0,X1,X2))),X7),interior(X4,X5,X6))
    | ~ subset_sets(X0,interior(X4,X5,X6))
    | ~ closed(interior(X4,X5,X6),X1,X2)
    | element_of_collection(closure(X0,X1,X2),top_of_basis(X3))
    | basis(f13(X4,X5,X6,f11(X3,closure(X0,X1,X2))),X7)
    | ~ topological_space(f13(X4,X5,X6,f11(X3,closure(X0,X1,X2))),X7) ) ).

cnf(u9577,negated_conjecture,
    ( element_of_set(f20(f13(a,cx,X0,f11(subspace_topology(X2,X3,X1),interior(a,cx,X0))),X4),interior(a,cx,X0))
    | ~ topological_space(cx,X0)
    | subset_sets(X1,X2)
    | element_of_set(f11(X0,a),a)
    | ~ topological_space(f13(a,cx,X0,f11(subspace_topology(X2,X3,X1),interior(a,cx,X0))),X4)
    | hausdorff(f13(a,cx,X0,f11(subspace_topology(X2,X3,X1),interior(a,cx,X0))),X4) ) ).

cnf(u10302,negated_conjecture,
    ( element_of_set(X1,f1(top_of_basis(X0),X1))
    | element_of_set(f11(X0,sF1),a)
    | ~ element_of_set(X1,sF1) ) ).

cnf(u7159,negated_conjecture,
    ( ~ subset_sets(f14(f13(X0,X1,X2,f11(X7,closure(X5,X3,X4))),cx,ct,X8),X1)
    | ~ subset_sets(X5,interior(X0,X1,X2))
    | ~ element_of_set(X6,closure(X5,X3,X4))
    | ~ closed(interior(X0,X1,X2),X3,X4)
    | ~ element_of_set(X9,f13(X0,X1,X2,f11(X7,closure(X5,X3,X4))))
    | element_of_set(X6,f10(X7,closure(X5,X3,X4),X6))
    | element_of_set(X9,interior(f14(f13(X0,X1,X2,f11(X7,closure(X5,X3,X4))),cx,ct,X8),X1,X2))
    | ~ subset_sets(f13(X0,X1,X2,f11(X7,closure(X5,X3,X4))),a)
    | ~ subset_sets(f13(X0,X1,X2,f11(X7,closure(X5,X3,X4))),cx)
    | element_of_set(X8,a) ) ).

cnf(u587,axiom,
    ( open_covering(f24(X0,X1),X0,X2)
    | compact_space(X0,X1)
    | ~ topological_space(X0,X2)
    | ~ subset_collections(f24(X0,X1),X2)
    | ~ topological_space(X0,X1) ) ).

cnf(u7476,axiom,
    ( element_of_set(f11(X0,f8(X1,X2)),union_of_members(X2))
    | element_of_set(X3,f10(X0,f8(X1,X2),X3))
    | ~ topological_space(X1,X2)
    | basis(X1,X2)
    | ~ element_of_set(X3,f8(X1,X2)) ) ).

cnf(u833,axiom,
    ( ~ element_of_set(X5,intersection_of_sets(f16(X0,X1,X2,X3),X1))
    | ~ subset_sets(X1,X2)
    | limit_point(X0,X1,X2,X3)
    | ~ topological_space(X2,X3)
    | eq_p(f11(X4,intersection_of_sets(f16(X0,X1,X2,X3),X1)),X0)
    | element_of_set(X5,union_of_members(top_of_basis(X4))) ) ).

cnf(u3509,axiom,
    ( ~ element_of_collection(f13(union_of_members(ct),X2,X3,f11(X4,closure(X5,X6,X7))),X0)
    | ~ element_of_set(X1,f13(union_of_members(ct),X2,X3,f11(X4,closure(X5,X6,X7))))
    | ~ topological_space(sF0,X0)
    | element_of_set(X1,interior(union_of_members(ct),sF0,X0))
    | ~ closed(interior(union_of_members(ct),X2,X3),X6,X7)
    | ~ subset_sets(X5,interior(union_of_members(ct),X2,X3))
    | element_of_collection(closure(X5,X6,X7),top_of_basis(X4)) ) ).

cnf(u6821,negated_conjecture,
    ( ~ topological_space(f14(X2,X0,X1,X5),X4)
    | ~ subset_sets(X2,sF1)
    | ~ subset_sets(X2,X0)
    | ~ element_of_collection(X3,X4)
    | ~ closed(sF1,X0,X1)
    | ~ element_of_set(X6,X3)
    | ~ subset_sets(X3,X2)
    | element_of_set(X6,interior(X2,f14(X2,X0,X1,X5),X4)) ) ).

cnf(u7468,negated_conjecture,
    ( element_of_set(f11(X0,f1(top_of_basis(X1),X2)),union_of_members(top_of_basis(X1)))
    | element_of_set(X3,f10(X0,f1(top_of_basis(X1),X2),X3))
    | ~ element_of_set(X2,sF1)
    | element_of_set(f11(X1,sF1),sF1)
    | ~ element_of_set(X3,f1(top_of_basis(X1),X2)) ) ).

cnf(u1627,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,f11(X4,sF0)),X1,X2)
    | ~ subset_sets(X0,f13(a,cx,ct,f11(X4,sF0)))
    | ~ topological_space(closure(X0,X1,X2),X3)
    | basis(closure(X0,X1,X2),X3)
    | element_of_set(f7(closure(X0,X1,X2),X3),sF0)
    | element_of_collection(sF0,top_of_basis(X4)) ) ).

cnf(u253,negated_conjecture,
    ( closed(f14(X0,cx,ct,X1),cx,ct)
    | ~ subset_sets(X0,a)
    | ~ subset_sets(X0,cx)
    | element_of_set(X1,a) ) ).

cnf(u8030,axiom,
    ( ~ subset_sets(f10(X2,interior(X3,X4,X5),f11(X0,X1)),X1)
    | ~ element_of_set(f11(X0,X1),interior(X3,X4,X5))
    | element_of_collection(X1,top_of_basis(X0))
    | ~ element_of_collection(f10(X2,interior(X3,X4,X5),f11(X0,X1)),X0)
    | subset_sets(f13(X3,X4,X5,f11(X2,interior(X3,X4,X5))),X3) ) ).

cnf(topology_generated_38,axiom,
    ( element_of_collection(f10(X1,X0,X2),X1)
    | ~ element_of_set(X2,X0)
    | ~ element_of_collection(X0,top_of_basis(X1)) ) ).

cnf(u6949,axiom,
    ( element_of_set(f11(X7,f13(X1,X2,X3,f7(closure(X0,X4,X5),X6))),f13(X1,X2,X3,f7(closure(X0,X4,X5),X6)))
    | ~ closed(interior(X1,X2,X3),X4,X5)
    | basis(closure(X0,X4,X5),X6)
    | ~ topological_space(closure(X0,X4,X5),X6)
    | ~ subset_sets(X0,interior(X1,X2,X3))
    | element_of_set(f7(closure(X0,X4,X5),X6),union_of_members(top_of_basis(X7))) ) ).

cnf(u1462,axiom,
    ( element_of_set(f19(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4),interior(X0,X1,X2))
    | element_of_collection(interior(X0,X1,X2),top_of_basis(X3))
    | ~ topological_space(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4)
    | hausdorff(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X4) ) ).

cnf(u716,axiom,
    ( element_of_set(X10,interior(f14(f13(X0,X1,X2,f20(closure(X5,X3,X4),X6)),X7,X8,X9),X1,X2))
    | ~ topological_space(closure(X5,X3,X4),X6)
    | hausdorff(closure(X5,X3,X4),X6)
    | ~ subset_sets(f14(f13(X0,X1,X2,f20(closure(X5,X3,X4),X6)),X7,X8,X9),X1)
    | ~ element_of_set(X10,f13(X0,X1,X2,f20(closure(X5,X3,X4),X6)))
    | ~ subset_sets(X5,interior(X0,X1,X2))
    | ~ closed(interior(X0,X1,X2),X3,X4)
    | element_of_set(X9,closure(f13(X0,X1,X2,f20(closure(X5,X3,X4),X6)),X7,X8))
    | ~ subset_sets(f13(X0,X1,X2,f20(closure(X5,X3,X4),X6)),X7)
    | ~ topological_space(X7,X8) ) ).

cnf(u1734,axiom,
    ( ~ closed(f13(X1,X2,X3,f20(sF1,X0)),X6,X7)
    | hausdorff(sF1,X0)
    | ~ closed(interior(X1,X2,X3),cx,ct)
    | ~ subset_sets(a,interior(X1,X2,X3))
    | element_of_set(f11(X4,closure(X5,X6,X7)),interior(X1,X2,X3))
    | element_of_collection(closure(X5,X6,X7),top_of_basis(X4))
    | ~ topological_space(sF1,X0)
    | ~ subset_sets(X5,f13(X1,X2,X3,f20(sF1,X0))) ) ).

cnf(u870,axiom,
    ( element_of_set(f11(X5,boundary(X3,X1,X2)),union_of_members(top_of_basis(X4)))
    | element_of_set(f11(X4,closure(X3,X1,X2)),X0)
    | ~ subset_sets(X3,X0)
    | ~ closed(X0,X1,X2)
    | element_of_collection(boundary(X3,X1,X2),top_of_basis(X5)) ) ).

cnf(u11920,axiom,
    ( ~ hausdorff(X1,X3)
    | ~ element_of_set(X2,X1)
    | eq_p(X0,X2)
    | ~ element_of_set(X0,X1) ) ).

cnf(u6933,axiom,
    ( ~ closed(f13(a,cx,ct,f20(sF0,X0)),X3,X4)
    | ~ topological_space(sF0,X0)
    | element_of_set(f11(X1,closure(X2,X3,X4)),union_of_members(ct))
    | element_of_collection(closure(X2,X3,X4),top_of_basis(X1))
    | hausdorff(sF0,X0)
    | ~ subset_sets(X2,f13(a,cx,ct,f20(sF0,X0))) ) ).

cnf(u7009,axiom,
    ( element_of_set(X0,f10(X3,f13(X1,X2,top_of_basis(X3),f20(interior(X1,X2,top_of_basis(X3)),X4)),X0))
    | ~ element_of_set(X0,f13(X1,X2,top_of_basis(X3),f20(interior(X1,X2,top_of_basis(X3)),X4)))
    | ~ topological_space(interior(X1,X2,top_of_basis(X3)),X4)
    | hausdorff(interior(X1,X2,top_of_basis(X3)),X4) ) ).

cnf(u7666,negated_conjecture,
    ( element_of_set(f11(X0,a),union_of_members(top_of_basis(X2)))
    | element_of_set(X1,f13(a,cx,X0,X1))
    | ~ topological_space(cx,X0)
    | element_of_set(f11(X2,a),a)
    | ~ element_of_set(X1,a) ) ).

cnf(u1078,negated_conjecture,
    ( element_of_set(X2,f13(f14(f13(a,cx,ct,X1),cx,ct,X0),cx,ct,X2))
    | ~ subset_sets(f14(f13(a,cx,ct,X1),cx,ct,X0),cx)
    | ~ element_of_set(X2,f13(a,cx,ct,X1))
    | ~ element_of_set(X1,sF0)
    | ~ subset_sets(f13(a,cx,ct,X1),cx)
    | element_of_set(X0,a) ) ).

cnf(u11078,negated_conjecture,
    ( element_of_set(f7(X0,X1),interior(a,sF0,X2))
    | basis(X0,X1) ) ).

cnf(u1756,axiom,
    ( ~ element_of_set(X0,f9(X1,top_of_basis(subspace_topology(X2,X3,X4))))
    | subset_sets(X4,X2)
    | basis(X1,top_of_basis(subspace_topology(X2,X3,X4)))
    | ~ topological_space(X1,top_of_basis(subspace_topology(X2,X3,X4))) ) ).

cnf(u6839,negated_conjecture,
    ( element_of_set(X10,interior(f14(f13(X2,X3,X4,f19(closure(X5,X6,X7),X8)),X0,X1,X9),X3,X4))
    | ~ subset_sets(f13(X2,X3,X4,f19(closure(X5,X6,X7),X8)),sF1)
    | ~ subset_sets(f13(X2,X3,X4,f19(closure(X5,X6,X7),X8)),X0)
    | ~ closed(interior(X2,X3,X4),X6,X7)
    | ~ topological_space(closure(X5,X6,X7),X8)
    | hausdorff(closure(X5,X6,X7),X8)
    | ~ subset_sets(f14(f13(X2,X3,X4,f19(closure(X5,X6,X7),X8)),X0,X1,X9),X3)
    | ~ element_of_set(X10,f13(X2,X3,X4,f19(closure(X5,X6,X7),X8)))
    | ~ subset_sets(X5,interior(X2,X3,X4))
    | ~ closed(sF1,X0,X1) ) ).

cnf(closed_set_23,axiom,
    ( ~ open(relative_complement_sets(X0,X1),X1,X2)
    | ~ topological_space(X1,X2)
    | closed(X0,X1,X2) ) ).

cnf(u7011,axiom,
    ( element_of_set(f11(subspace_topology(X7,X8,X6),f10(X1,closure(X2,X3,X4),X0)),f10(X1,closure(X2,X3,X4),X0))
    | element_of_set(f11(X1,closure(X2,X3,X4)),X5)
    | ~ closed(X5,X3,X4)
    | ~ subset_sets(X2,X5)
    | subset_sets(X6,X7)
    | ~ element_of_set(X0,closure(X2,X3,X4)) ) ).

cnf(u1293,negated_conjecture,
    ( ~ subset_sets(union_of_members(top_of_basis(X2)),X1)
    | ~ element_of_set(f11(X0,X1),sF1)
    | element_of_set(X3,sF1)
    | element_of_collection(X1,top_of_basis(X0))
    | ~ element_of_collection(union_of_members(top_of_basis(X2)),X0)
    | element_of_set(f11(X2,sF1),f14(a,cx,ct,X3)) ) ).

cnf(u4007,negated_conjecture,
    ( element_of_set(f19(f13(a,cx,ct,f19(sF0,X1)),X2),union_of_members(top_of_basis(X0)))
    | element_of_set(f11(X0,sF0),sF0)
    | ~ topological_space(sF0,X1)
    | hausdorff(sF0,X1)
    | ~ topological_space(f13(a,cx,ct,f19(sF0,X1)),X2)
    | hausdorff(f13(a,cx,ct,f19(sF0,X1)),X2) ) ).

cnf(u7282,axiom,
    ( element_of_set(f11(X1,f13(a,cx,ct,f7(sF0,X0))),union_of_members(ct))
    | basis(sF0,X0)
    | ~ topological_space(sF0,X0)
    | element_of_collection(f13(a,cx,ct,f7(sF0,X0)),top_of_basis(X1)) ) ).

cnf(u866,axiom,
    ( ~ closed(sF1,X0,X1)
    | element_of_collection(closure(X2,X0,X1),top_of_basis(X3))
    | ~ subset_sets(X2,sF1)
    | ~ subset_sets(a,X4)
    | ~ closed(X4,cx,ct)
    | element_of_set(f11(X3,closure(X2,X0,X1)),X4) ) ).

cnf(u3513,axiom,
    ( ~ element_of_collection(f13(union_of_members(ct),X2,X3,f20(interior(union_of_members(ct),X2,X3),X4)),X0)
    | ~ element_of_set(X1,f13(union_of_members(ct),X2,X3,f20(interior(union_of_members(ct),X2,X3),X4)))
    | ~ topological_space(sF0,X0)
    | element_of_set(X1,interior(union_of_members(ct),sF0,X0))
    | hausdorff(interior(union_of_members(ct),X2,X3),X4)
    | ~ topological_space(interior(union_of_members(ct),X2,X3),X4) ) ).

cnf(u9804,axiom,
    ( element_of_set(X2,f18(X1,X3,X0,X2))
    | ~ element_of_set(X2,X1)
    | eq_p(X0,X2)
    | ~ hausdorff(X1,X3)
    | ~ element_of_set(X0,X1) ) ).

cnf(u1607,axiom,
    ( ~ topological_space(closure(X0,X1,X2),X3)
    | ~ subset_sets(X0,union_of_members(X4))
    | ~ closed(union_of_members(X4),X1,X2)
    | basis(closure(X0,X1,X2),X3)
    | element_of_collection(f1(X4,f7(closure(X0,X1,X2),X3)),X4) ) ).

cnf(u4029,axiom,
    ( element_of_set(f11(X0,f13(a,cx,ct,f20(sF0,X1))),f13(a,cx,ct,f20(sF0,X1)))
    | element_of_set(f20(sF0,X1),union_of_members(top_of_basis(X0)))
    | hausdorff(sF0,X1)
    | ~ topological_space(sF0,X1) ) ).

cnf(u717,negated_conjecture,
    ( ~ subset_sets(f14(f13(X0,X1,X2,f20(closure(X5,X3,X4),X6)),cx,ct,X7),X1)
    | ~ topological_space(closure(X5,X3,X4),X6)
    | hausdorff(closure(X5,X3,X4),X6)
    | ~ closed(interior(X0,X1,X2),X3,X4)
    | ~ element_of_set(X8,f13(X0,X1,X2,f20(closure(X5,X3,X4),X6)))
    | ~ subset_sets(X5,interior(X0,X1,X2))
    | element_of_set(X8,interior(f14(f13(X0,X1,X2,f20(closure(X5,X3,X4),X6)),cx,ct,X7),X1,X2))
    | element_of_set(X7,f14(f13(X0,X1,X2,f20(closure(X5,X3,X4),X6)),cx,ct,X9))
    | ~ subset_sets(f13(X0,X1,X2,f20(closure(X5,X3,X4),X6)),a)
    | element_of_set(X9,a)
    | ~ subset_sets(f13(X0,X1,X2,f20(closure(X5,X3,X4),X6)),cx) ) ).

cnf(intersection_of_members_4,axiom,
    ( ~ element_of_set(X0,intersection_of_members(X1))
    | ~ element_of_collection(X2,X1)
    | element_of_set(X0,X2) ) ).

cnf(u3954,negated_conjecture,
    ( element_of_set(f11(X0,f1(top_of_basis(X1),X2)),f1(top_of_basis(X1),X2))
    | element_of_set(f11(X1,sF1),f14(a,cx,ct,X3))
    | element_of_set(X2,union_of_members(top_of_basis(X0)))
    | element_of_set(X3,sF1)
    | ~ element_of_set(X2,sF1) ) ).

cnf(u3985,negated_conjecture,
    ( element_of_set(f11(X0,f14(a,cx,ct,X1)),f14(a,cx,ct,X1))
    | element_of_set(f11(X2,sF1),union_of_members(top_of_basis(X0)))
    | element_of_collection(sF1,top_of_basis(X2))
    | element_of_set(X1,sF1) ) ).

cnf(u7038,axiom,
    ( ~ closed(f13(a,cx,ct,X4),X2,X3)
    | ~ element_of_set(X5,closure(X1,X2,X3))
    | element_of_set(X5,f10(X0,closure(X1,X2,X3),X5))
    | ~ subset_sets(X1,f13(a,cx,ct,X4))
    | element_of_set(f11(X0,closure(X1,X2,X3)),union_of_members(ct))
    | ~ element_of_set(X4,sF0) ) ).

cnf(u524,axiom,
    ( ~ equal_sets(f22(X0,X1),empty_set)
    | ~ topological_space(X0,X1)
    | connected_space(X0,X1) ) ).

cnf(u8325,negated_conjecture,
    ( ~ element_of_collection(f10(X2,f13(a,cx,X1,X0),X3),X4)
    | element_of_set(f11(X1,a),a)
    | ~ element_of_set(X0,a)
    | ~ topological_space(a,X4)
    | ~ element_of_set(X5,f10(X2,f13(a,cx,X1,X0),X3))
    | ~ topological_space(cx,X1)
    | element_of_set(X5,interior(f13(a,cx,X1,X0),a,X4))
    | ~ element_of_set(X3,f13(a,cx,X1,X0))
    | ~ element_of_collection(f13(a,cx,X1,X0),top_of_basis(X2)) ) ).

cnf(u9715,negated_conjecture,
    ( element_of_set(f11(X3,union_of_members(top_of_basis(X1))),union_of_members(top_of_basis(X1)))
    | element_of_set(f11(X0,a),union_of_members(top_of_basis(X3)))
    | element_of_set(X2,interior(a,cx,X0))
    | ~ topological_space(cx,X0)
    | element_of_set(f11(X1,a),a)
    | ~ element_of_set(X2,a) ) ).

cnf(u845,negated_conjecture,
    ( ~ subset_sets(f14(a,cx,ct,X1),sF1)
    | element_of_set(X1,sF1)
    | ~ element_of_collection(f14(a,cx,ct,X1),X0)
    | element_of_collection(sF1,top_of_basis(X0)) ) ).

cnf(u487,negated_conjecture,
    ( ~ subset_sets(f13(a,cx,ct,f20(sF0,X0)),X1)
    | ~ topological_space(sF0,X0)
    | ~ subset_sets(X1,cx)
    | ~ element_of_set(X2,f13(a,cx,ct,f20(sF0,X0)))
    | hausdorff(sF0,X0)
    | element_of_set(X2,interior(X1,cx,ct)) ) ).

cnf(u1042,axiom,
    ( ~ closed(interior(X1,X2,X3),cx,ct)
    | ~ subset_sets(a,interior(X1,X2,X3))
    | element_of_set(f19(sF1,X0),f13(X1,X2,X3,f19(sF1,X0)))
    | ~ topological_space(sF1,X0)
    | hausdorff(sF1,X0) ) ).

cnf(u10246,negated_conjecture,
    ( element_of_set(X0,union_of_members(top_of_basis(X1)))
    | element_of_set(f11(X1,sF1),a)
    | ~ element_of_set(X0,sF1) ) ).

cnf(u964,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,f19(sF0,X4)),X1,X2)
    | ~ subset_sets(X0,f13(a,cx,ct,f19(sF0,X4)))
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | element_of_set(f19(closure(X0,X1,X2),X3),sF0)
    | ~ topological_space(sF0,X4)
    | hausdorff(sF0,X4) ) ).

cnf(u8332,negated_conjecture,
    ( ~ element_of_collection(f13(f13(a,cx,X1,X0),X2,X3,f11(X4,boundary(X5,X6,X7))),X8)
    | element_of_set(f11(X1,a),a)
    | ~ element_of_set(X0,a)
    | ~ topological_space(a,X8)
    | ~ element_of_set(X9,f13(f13(a,cx,X1,X0),X2,X3,f11(X4,boundary(X5,X6,X7))))
    | ~ topological_space(cx,X1)
    | element_of_set(X9,interior(f13(a,cx,X1,X0),a,X8))
    | ~ closed(interior(f13(a,cx,X1,X0),X2,X3),X6,X7)
    | ~ subset_sets(X5,interior(f13(a,cx,X1,X0),X2,X3))
    | element_of_collection(boundary(X5,X6,X7),top_of_basis(X4)) ) ).

cnf(u1385,axiom,
    ( ~ compact_space(X0,X1)
    | ~ topological_space(X2,X3)
    | element_of_collection(union_of_members(f23(X0,X1,X3)),X3)
    | ~ subset_collections(X3,X1)
    | ~ topological_space(X0,X3) ) ).

cnf(u979,axiom,
    ( ~ element_of_set(f19(closure(X0,X1,X2),X3),closure(X4,X5,X6))
    | ~ subset_sets(X0,closure(relative_complement_sets(X4,X5),X5,X6))
    | ~ closed(closure(relative_complement_sets(X4,X5),X5,X6),X1,X2)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | hausdorff(closure(X0,X1,X2),X3)
    | element_of_set(f19(closure(X0,X1,X2),X3),boundary(X4,X5,X6)) ) ).

cnf(u3687,negated_conjecture,
    ( ~ element_of_set(X0,f1(top_of_basis(subspace_topology(X1,X2,X3)),X4))
    | topological_space(X1,X2)
    | element_of_set(f11(subspace_topology(X1,X2,X3),sF1),f14(a,cx,ct,X5))
    | element_of_set(X5,sF1)
    | ~ element_of_set(X4,sF1) ) ).

cnf(u249,axiom,
    ( ~ element_of_set(X4,f16(X0,X1,X2,X3))
    | ~ topological_space(X2,X3)
    | ~ subset_sets(X1,X2)
    | limit_point(X0,X1,X2,X3)
    | element_of_set(X4,union_of_members(X3)) ) ).

cnf(u3575,negated_conjecture,
    ( ~ closed(f1(ct,X4),X2,X3)
    | element_of_collection(boundary(X1,X2,X3),top_of_basis(X0))
    | ~ subset_sets(X1,f1(ct,X4))
    | ~ element_of_set(X4,cx)
    | element_of_set(f11(X0,boundary(X1,X2,X3)),union_of_members(ct)) ) ).

cnf(basis_for_topology_34,axiom,
    ( ~ equal_sets(union_of_members(X1),X0)
    | basis(X0,X1)
    | element_of_collection(f9(X0,X1),X1) ) ).

cnf(u580,negated_conjecture,
    ( ~ subset_sets(f14(a,cx,ct,X2),X0)
    | ~ element_of_collection(f14(a,cx,ct,X2),X1)
    | element_of_collection(X0,top_of_basis(X1))
    | ~ element_of_set(f11(X1,X0),sF1)
    | element_of_set(X2,sF1) ) ).

cnf(u3615,axiom,
    ( ~ closed(boundary(X4,X5,X6),X2,X3)
    | element_of_collection(boundary(X1,X2,X3),top_of_basis(X0))
    | ~ subset_sets(X1,boundary(X4,X5,X6))
    | topological_space(X5,X6) ) ).

cnf(u3506,axiom,
    ( ~ element_of_collection(f10(X2,union_of_members(ct),X3),X0)
    | ~ element_of_set(X1,f10(X2,union_of_members(ct),X3))
    | ~ topological_space(sF0,X0)
    | element_of_set(X1,interior(union_of_members(ct),sF0,X0))
    | ~ element_of_set(X3,union_of_members(ct))
    | ~ element_of_collection(union_of_members(ct),top_of_basis(X2)) ) ).

cnf(u9905,axiom,
    ( element_of_set(f11(subspace_topology(X0,X1,X2),f10(X3,closure(X4,X5,X6),X7)),f10(X3,closure(X4,X5,X6),X7))
    | open(f13(X8,X9,X10,f11(X3,closure(X4,X5,X6))),X9,X10)
    | topological_space(X0,X1)
    | ~ closed(interior(X8,X9,X10),X5,X6)
    | ~ subset_sets(X4,interior(X8,X9,X10))
    | ~ element_of_set(X7,closure(X4,X5,X6)) ) ).

cnf(u377,negated_conjecture,
    ( ~ element_of_collection(f13(a,X0,X1,f20(interior(a,X0,X1),X2)),X3)
    | ~ topological_space(interior(a,X0,X1),X2)
    | ~ topological_space(cx,X3)
    | ~ element_of_set(X4,f13(a,X0,X1,f20(interior(a,X0,X1),X2)))
    | hausdorff(interior(a,X0,X1),X2)
    | element_of_set(X4,interior(a,cx,X3)) ) ).

cnf(u915,axiom,
    ( ~ subset_sets(f13(X0,X1,X2,f11(X3,sF1)),X4)
    | ~ subset_sets(a,interior(X0,X1,X2))
    | element_of_collection(sF1,top_of_basis(X3))
    | ~ subset_sets(X4,X1)
    | ~ element_of_set(X5,f13(X0,X1,X2,f11(X3,sF1)))
    | ~ closed(interior(X0,X1,X2),cx,ct)
    | element_of_set(X5,interior(X4,X1,X2)) ) ).

cnf(u8017,axiom,
    ( ~ element_of_collection(f13(union_of_members(ct),X0,X1,f11(X2,interior(union_of_members(ct),X0,X1))),X4)
    | ~ element_of_set(X3,interior(union_of_members(ct),X0,X1))
    | ~ topological_space(sF0,X4)
    | ~ element_of_set(X5,f13(union_of_members(ct),X0,X1,f11(X2,interior(union_of_members(ct),X0,X1))))
    | element_of_set(X3,f10(X2,interior(union_of_members(ct),X0,X1),X3))
    | element_of_set(X5,interior(union_of_members(ct),sF0,X4)) ) ).

cnf(u1620,axiom,
    ( ~ closed(interior(X4,X5,X6),X1,X2)
    | ~ subset_sets(X0,interior(X4,X5,X6))
    | ~ topological_space(closure(X0,X1,X2),X3)
    | basis(closure(X0,X1,X2),X3)
    | topological_space(X5,X6) ) ).

cnf(u238,negated_conjecture,
    ( element_of_set(X3,interior(f14(relative_complement_sets(X0,X1),cx,ct,X2),X1,X4))
    | ~ subset_sets(relative_complement_sets(X0,X1),cx)
    | element_of_set(X2,a)
    | ~ subset_sets(f14(relative_complement_sets(X0,X1),cx,ct,X2),X1)
    | ~ element_of_set(X3,relative_complement_sets(X0,X1))
    | ~ closed(X0,X1,X4)
    | ~ subset_sets(relative_complement_sets(X0,X1),a) ) ).

cnf(u6940,axiom,
    ( element_of_set(f20(sF0,X0),union_of_members(ct))
    | ~ topological_space(sF0,X0)
    | hausdorff(sF0,X0) ) ).

cnf(open_set_19,axiom,
    ( ~ open(X0,X1,X2)
    | element_of_collection(X0,X2) ) ).

cnf(u1761,axiom,
    ( ~ element_of_set(X0,f13(X1,X2,top_of_basis(subspace_topology(X3,X4,X5)),f20(closure(X6,X7,X8),X9)))
    | subset_sets(X5,X3)
    | ~ closed(interior(X1,X2,top_of_basis(subspace_topology(X3,X4,X5))),X7,X8)
    | ~ topological_space(closure(X6,X7,X8),X9)
    | hausdorff(closure(X6,X7,X8),X9)
    | ~ subset_sets(X6,interior(X1,X2,top_of_basis(subspace_topology(X3,X4,X5)))) ) ).

cnf(u11445,axiom,
    ( element_of_set(f20(interior(X0,X1,X2),X3),interior(X4,X5,X6))
    | hausdorff(interior(X0,X1,X2),X3) ) ).

cnf(u3728,axiom,
    ( ~ topological_space(boundary(X3,X4,X5),X7)
    | element_of_set(f11(subspace_topology(X0,X1,X2),closure(X3,X4,X5)),X6)
    | ~ closed(X6,X4,X5)
    | ~ subset_sets(X3,X6)
    | hausdorff(boundary(X3,X4,X5),X7)
    | topological_space(X0,X1) ) ).

cnf(u6952,axiom,
    ( element_of_collection(f12(X1,X2,X0,empty_set),X2)
    | ~ connected_set(X0,X1,X2) ) ).

cnf(u878,axiom,
    ( closed(f14(X3,X1,X2,X5),X1,X2)
    | element_of_set(f11(X4,closure(X3,X1,X2)),X0)
    | element_of_set(X5,union_of_members(top_of_basis(X4)))
    | ~ subset_sets(X3,X0)
    | ~ closed(X0,X1,X2)
    | ~ subset_sets(X3,X1) ) ).

cnf(u7300,axiom,
    ( ~ closed(f13(X4,X5,X6,f7(closure(X0,X1,X2),X3)),X8,X9)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | ~ closed(interior(X4,X5,X6),X1,X2)
    | ~ subset_sets(X0,interior(X4,X5,X6))
    | element_of_set(f7(closure(X7,X8,X9),X10),interior(X4,X5,X6))
    | ~ topological_space(closure(X7,X8,X9),X10)
    | ~ subset_sets(X7,f13(X4,X5,X6,f7(closure(X0,X1,X2),X3)))
    | basis(closure(X0,X1,X2),X3)
    | basis(closure(X7,X8,X9),X10) ) ).

cnf(u747,axiom,
    ( element_of_set(f11(X0,intersection_of_members(X1)),X2)
    | element_of_collection(intersection_of_members(X1),top_of_basis(X0))
    | ~ element_of_collection(X2,X1) ) ).

cnf(u1599,axiom,
    ( ~ subset_sets(X3,f10(X2,X1,X0))
    | ~ element_of_collection(X1,top_of_basis(X2))
    | ~ element_of_collection(X3,X4)
    | ~ topological_space(X1,X4)
    | ~ element_of_set(X5,X3)
    | ~ element_of_set(X0,X1)
    | element_of_set(X5,interior(f10(X2,X1,X0),X1,X4)) ) ).

cnf(u4084,axiom,
    ( element_of_set(f19(sF0,X0),f1(ct,f19(sF0,X0)))
    | hausdorff(sF0,X0)
    | ~ topological_space(sF0,X0) ) ).

cnf(u1163,negated_conjecture,
    ( subset_sets(X0,f14(X0,X1,X2,f11(X3,f14(closure(X0,X1,X2),cx,ct,X4))))
    | element_of_collection(f14(closure(X0,X1,X2),cx,ct,X4),top_of_basis(X3))
    | ~ element_of_collection(closure(X0,X1,X2),X3)
    | ~ subset_sets(X0,X1)
    | ~ topological_space(X1,X2)
    | ~ subset_sets(closure(X0,X1,X2),a)
    | ~ subset_sets(closure(X0,X1,X2),cx)
    | element_of_set(X4,a) ) ).

cnf(u7356,negated_conjecture,
    ( ~ closed(boundary(X2,X0,X1),X5,X6)
    | ~ subset_sets(X2,sF0)
    | element_of_set(X7,f10(X3,closure(X4,X5,X6),X7))
    | ~ element_of_set(X7,closure(X4,X5,X6))
    | ~ closed(sF0,X0,X1)
    | ~ subset_sets(X4,boundary(X2,X0,X1)) ) ).

cnf(u1092,negated_conjecture,
    ( ~ subset_sets(a,f14(a,cx,ct,f11(X0,X1)))
    | element_of_collection(X1,top_of_basis(X0))
    | ~ subset_sets(sF1,X1)
    | element_of_set(f11(X2,sF1),f14(a,cx,ct,f11(X0,X1)))
    | element_of_collection(sF1,top_of_basis(X2))
    | ~ element_of_collection(sF1,X0) ) ).

cnf(u9058,negated_conjecture,
    ( element_of_set(f19(a,X0),union_of_members(top_of_basis(X1)))
    | hausdorff(a,X0)
    | element_of_set(f11(X1,sF0),sF0)
    | ~ topological_space(a,X0) ) ).

cnf(u1322,negated_conjecture,
    ( element_of_set(f7(f1(top_of_basis(X1),X0),X2),union_of_members(top_of_basis(X1)))
    | element_of_set(f11(X1,sF1),sF1)
    | ~ element_of_set(X0,sF1)
    | basis(f1(top_of_basis(X1),X0),X2)
    | ~ topological_space(f1(top_of_basis(X1),X0),X2) ) ).

cnf(u869,axiom,
    ( element_of_set(f7(closure(X3,X1,X2),X5),union_of_members(top_of_basis(X4)))
    | element_of_set(f11(X4,closure(X3,X1,X2)),X0)
    | ~ subset_sets(X3,X0)
    | ~ closed(X0,X1,X2)
    | basis(closure(X3,X1,X2),X5)
    | ~ topological_space(closure(X3,X1,X2),X5) ) ).

cnf(u788,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,f19(sF0,X4)),X2,X3)
    | element_of_collection(closure(X1,X2,X3),top_of_basis(X0))
    | ~ subset_sets(X1,f13(a,cx,ct,f19(sF0,X4)))
    | element_of_set(f11(X0,closure(X1,X2,X3)),sF0)
    | ~ topological_space(sF0,X4)
    | hausdorff(sF0,X4) ) ).

cnf(u351,axiom,
    ( ~ element_of_set(f7(closure(relative_complement_sets(X0,X1),X1,X2),X3),closure(X0,X1,X2))
    | ~ topological_space(closure(relative_complement_sets(X0,X1),X1,X2),X3)
    | basis(closure(relative_complement_sets(X0,X1),X1,X2),X3)
    | element_of_set(f7(closure(relative_complement_sets(X0,X1),X1,X2),X3),boundary(X0,X1,X2)) ) ).

cnf(u1621,axiom,
    ( subset_sets(f13(X4,X5,X6,f7(closure(X0,X1,X2),X3)),X4)
    | ~ subset_sets(X0,interior(X4,X5,X6))
    | ~ closed(interior(X4,X5,X6),X1,X2)
    | basis(closure(X0,X1,X2),X3)
    | ~ topological_space(closure(X0,X1,X2),X3) ) ).

cnf(u483,axiom,
    ( ~ subset_sets(f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),X4)
    | ~ topological_space(interior(X0,X1,X2),X3)
    | ~ subset_sets(X4,X1)
    | ~ element_of_set(X5,f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)))
    | hausdorff(interior(X0,X1,X2),X3)
    | element_of_set(X5,interior(X4,X1,X2)) ) ).

cnf(u4026,axiom,
    ( element_of_set(f11(X0,f13(X1,X2,X3,f20(closure(X4,X5,X6),X7))),f13(X1,X2,X3,f20(closure(X4,X5,X6),X7)))
    | element_of_set(f20(closure(X4,X5,X6),X7),union_of_members(top_of_basis(X0)))
    | ~ subset_sets(X4,interior(X1,X2,X3))
    | ~ closed(interior(X1,X2,X3),X5,X6)
    | ~ topological_space(closure(X4,X5,X6),X7)
    | hausdorff(closure(X4,X5,X6),X7) ) ).

cnf(u282,axiom,
    ( open(f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),X1,X2)
    | hausdorff(interior(X0,X1,X2),X3)
    | ~ topological_space(interior(X0,X1,X2),X3) ) ).

cnf(u1190,axiom,
    ( ~ closed(f22(X0,X1),X4,X5)
    | connected_space(X0,X1)
    | element_of_set(f11(X2,closure(X3,X4,X5)),union_of_members(X1))
    | element_of_collection(closure(X3,X4,X5),top_of_basis(X2))
    | ~ topological_space(X0,X1)
    | ~ subset_sets(X3,f22(X0,X1)) ) ).

cnf(u430,axiom,
    ( ~ element_of_set(f7(X1,X0),f13(intersection_of_sets(f8(X1,X0),f9(X1,X0)),X2,X3,f19(interior(intersection_of_sets(f8(X1,X0),f9(X1,X0)),X2,X3),X4)))
    | ~ equal_sets(union_of_members(X0),X1)
    | ~ element_of_collection(f13(intersection_of_sets(f8(X1,X0),f9(X1,X0)),X2,X3,f19(interior(intersection_of_sets(f8(X1,X0),f9(X1,X0)),X2,X3),X4)),X0)
    | basis(X1,X0)
    | hausdorff(interior(intersection_of_sets(f8(X1,X0),f9(X1,X0)),X2,X3),X4)
    | ~ topological_space(interior(intersection_of_sets(f8(X1,X0),f9(X1,X0)),X2,X3),X4) ) ).

cnf(u960,axiom,
    ( ~ closed(f13(a,cx,ct,X4),X1,X2)
    | ~ subset_sets(X0,f13(a,cx,ct,X4))
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | element_of_set(f19(closure(X0,X1,X2),X3),union_of_members(ct))
    | ~ element_of_set(X4,sF0) ) ).

cnf(u1188,axiom,
    ( element_of_set(f7(f22(X0,X1),X2),union_of_members(X1))
    | connected_space(X0,X1)
    | ~ topological_space(X0,X1)
    | basis(f22(X0,X1),X2)
    | ~ topological_space(f22(X0,X1),X2) ) ).

cnf(u3729,axiom,
    ( ~ closed(closure(X3,X4,X5),X8,X9)
    | element_of_set(f11(subspace_topology(X0,X1,X2),closure(X3,X4,X5)),X6)
    | ~ closed(X6,X4,X5)
    | ~ subset_sets(X3,X6)
    | hausdorff(closure(X7,X8,X9),X10)
    | ~ subset_sets(X7,closure(X3,X4,X5))
    | topological_space(X0,X1)
    | ~ topological_space(closure(X7,X8,X9),X10) ) ).

cnf(u7541,negated_conjecture,
    ( open(f13(a,cx,X1,X0),cx,X1)
    | ~ topological_space(cx,X1)
    | ~ element_of_set(X0,a)
    | element_of_set(f11(X1,a),a) ) ).

cnf(u12134,axiom,
    hausdorff(boundary(X0,X1,X2),X3) ).

cnf(u10295,negated_conjecture,
    ( element_of_set(X5,f10(X0,f13(a,cx,ct,f7(closure(X1,X2,X3),X4)),X5))
    | ~ element_of_set(X5,f13(a,cx,ct,f7(closure(X1,X2,X3),X4)))
    | ~ closed(sF0,X2,X3)
    | basis(closure(X1,X2,X3),X4) ) ).

cnf(u9820,axiom,
    ( ~ element_of_set(X7,f13(X0,X1,X2,f7(closure(X5,X3,X4),X6)))
    | basis(closure(X5,X3,X4),X6)
    | ~ topological_space(closure(X5,X3,X4),X6)
    | ~ subset_sets(X5,interior(X0,X1,X2))
    | ~ closed(interior(X0,X1,X2),X3,X4)
    | element_of_set(X7,union_of_members(X2)) ) ).

cnf(u7469,axiom,
    ( ~ element_of_set(X3,f1(X1,X2))
    | element_of_set(X3,f10(X0,f1(X1,X2),X3))
    | ~ topological_space(X4,X1)
    | ~ subset_sets(X5,X4)
    | limit_point(X2,X5,X4,X1)
    | element_of_set(f11(X0,f1(X1,X2)),union_of_members(X1)) ) ).

cnf(u7241,axiom,
    ( element_of_set(f7(sF0,X0),f13(a,cx,ct,f7(sF0,X0)))
    | ~ topological_space(sF0,X0)
    | basis(sF0,X0) ) ).

cnf(u3649,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,f11(X3,boundary(X0,X1,X2))),X5,X6)
    | ~ closed(sF0,X1,X2)
    | element_of_collection(boundary(X0,X1,X2),top_of_basis(X3))
    | element_of_set(f20(closure(X4,X5,X6),X7),sF0)
    | hausdorff(closure(X4,X5,X6),X7)
    | ~ subset_sets(X4,f13(a,cx,ct,f11(X3,boundary(X0,X1,X2))))
    | ~ subset_sets(X0,sF0)
    | ~ topological_space(closure(X4,X5,X6),X7) ) ).

cnf(u1470,axiom,
    ( element_of_set(f7(X0,X1),f6(X2,X3,f7(X0,X1),f8(X0,X1),f9(X0,X1)))
    | ~ element_of_collection(f8(X0,X1),X3)
    | ~ element_of_collection(f9(X0,X1),X3)
    | ~ basis(X2,X3)
    | ~ element_of_set(f7(X0,X1),X2)
    | ~ equal_sets(union_of_members(X1),X0)
    | basis(X0,X1) ) ).

cnf(u8144,negated_conjecture,
    ( element_of_collection(f13(a,cx,ct,X0),top_of_basis(X1))
    | ~ element_of_set(X0,a)
    | ~ element_of_collection(sF0,X1)
    | ~ subset_sets(sF0,f13(a,cx,ct,X0)) ) ).

cnf(u1742,axiom,
    ( ~ element_of_set(X0,intersection_of_sets(f16(X1,X2,X3,X4),X2))
    | subset_sets(X5,X6)
    | eq_p(f11(subspace_topology(X6,X7,X5),intersection_of_sets(f16(X1,X2,X3,X4),X2)),X1)
    | ~ subset_sets(X2,X3)
    | limit_point(X1,X2,X3,X4)
    | ~ topological_space(X3,X4) ) ).

cnf(u927,axiom,
    ( subset_sets(f13(a,cx,ct,f11(X0,sF0)),a)
    | element_of_collection(sF0,top_of_basis(X0)) ) ).

cnf(u1173,negated_conjecture,
    ( ~ topological_space(f14(a,cx,ct,f11(X0,X1)),X3)
    | element_of_collection(X1,top_of_basis(X0))
    | ~ subset_sets(sF1,X1)
    | ~ element_of_collection(X2,X3)
    | ~ element_of_collection(sF1,X0)
    | ~ element_of_set(X4,X2)
    | ~ subset_sets(X2,a)
    | element_of_set(X4,interior(a,f14(a,cx,ct,f11(X0,X1)),X3)) ) ).

cnf(u3701,axiom,
    ( ~ element_of_set(X0,f2(top_of_basis(subspace_topology(X1,X2,X3)),X4))
    | topological_space(X1,X2)
    | element_of_set(X4,intersection_of_members(top_of_basis(subspace_topology(X1,X2,X3)))) ) ).

cnf(u3580,axiom,
    ( element_of_collection(f6(X6,X7,f11(X0,boundary(X1,X2,X3)),X4,X5),X7)
    | ~ closed(intersection_of_sets(X4,X5),X2,X3)
    | ~ subset_sets(X1,intersection_of_sets(X4,X5))
    | ~ element_of_set(f11(X0,boundary(X1,X2,X3)),X6)
    | ~ element_of_collection(X4,X7)
    | ~ element_of_collection(X5,X7)
    | ~ basis(X6,X7)
    | element_of_collection(boundary(X1,X2,X3),top_of_basis(X0)) ) ).

cnf(u234,axiom,
    ( ~ element_of_set(X2,closure(X3,X0,X1))
    | element_of_set(X2,boundary(X3,X0,X1))
    | closed(f14(relative_complement_sets(X3,X0),X0,X1,X2),X0,X1)
    | ~ subset_sets(relative_complement_sets(X3,X0),X0) ) ).

cnf(u10276,negated_conjecture,
    ( element_of_set(f11(X1,sF1),f14(a,cx,ct,X2))
    | element_of_set(X0,union_of_members(top_of_basis(X1)))
    | ~ element_of_set(X0,sF1)
    | element_of_set(X2,a) ) ).

cnf(u7445,axiom,
    ( ~ closed(f8(X0,X1),X3,X4)
    | basis(X0,X1)
    | element_of_set(f7(closure(X2,X3,X4),X5),union_of_members(X1))
    | ~ topological_space(closure(X2,X3,X4),X5)
    | ~ subset_sets(X2,f8(X0,X1))
    | ~ topological_space(X0,X1)
    | basis(closure(X2,X3,X4),X5) ) ).

cnf(basis_for_topology_31,axiom,
    ( subset_sets(f6(X0,X1,X2,X3,X4),intersection_of_sets(X3,X4))
    | ~ element_of_set(X2,X0)
    | ~ element_of_collection(X3,X1)
    | ~ element_of_collection(X4,X1)
    | ~ element_of_set(X2,intersection_of_sets(X3,X4))
    | ~ basis(X0,X1) ) ).

cnf(u1301,negated_conjecture,
    ( element_of_set(X1,f1(top_of_basis(X0),X1))
    | element_of_set(f11(X0,sF1),sF1)
    | ~ element_of_set(X1,sF1) ) ).

cnf(u449,axiom,
    ( element_of_collection(f13(a,cx,ct,f19(sF0,X0)),ct)
    | ~ topological_space(sF0,X0)
    | hausdorff(sF0,X0) ) ).

cnf(u9953,axiom,
    ( element_of_set(f11(subspace_topology(X0,X1,X2),f13(X3,X4,X5,f11(X6,boundary(X7,X8,X9)))),f13(X3,X4,X5,f11(X6,boundary(X7,X8,X9))))
    | topological_space(X0,X1)
    | ~ closed(interior(X3,X4,X5),X8,X9)
    | ~ subset_sets(X7,interior(X3,X4,X5))
    | element_of_collection(boundary(X7,X8,X9),top_of_basis(X6)) ) ).

cnf(u2556,axiom,
    ( element_of_set(f11(subspace_topology(X1,X2,X0),closure(X3,X4,X5)),X6)
    | element_of_collection(closure(X3,X4,X5),top_of_basis(X7))
    | ~ closed(X6,X4,X5)
    | ~ subset_sets(X3,X6)
    | subset_sets(X0,X1) ) ).

cnf(u7027,axiom,
    ( ~ closed(intersection_of_sets(f16(X4,X5,X6,X7),X5),X2,X3)
    | ~ element_of_set(X8,closure(X1,X2,X3))
    | element_of_set(X8,f10(X0,closure(X1,X2,X3),X8))
    | ~ subset_sets(X1,intersection_of_sets(f16(X4,X5,X6,X7),X5))
    | ~ topological_space(X6,X7)
    | ~ subset_sets(X5,X6)
    | limit_point(X4,X5,X6,X7)
    | eq_p(f11(X0,closure(X1,X2,X3)),X4) ) ).

cnf(topological_space_12,axiom,
    ( ~ equal_sets(union_of_members(X1),X0)
    | topological_space(X0,X1)
    | ~ element_of_collection(empty_set,X1)
    | ~ element_of_collection(X0,X1)
    | element_of_collection(f3(X0,X1),X1)
    | subset_collections(f5(X0,X1),X1) ) ).

cnf(u3899,negated_conjecture,
    ( ~ subset_sets(X4,f14(a,cx,ct,f11(X3,f14(sF1,X0,X1,X2))))
    | ~ element_of_collection(sF1,X3)
    | element_of_set(X2,closure(sF1,X0,X1))
    | ~ subset_sets(sF1,X0)
    | ~ topological_space(X0,X1)
    | ~ subset_sets(X4,cx)
    | element_of_collection(f14(sF1,X0,X1,X2),top_of_basis(X3))
    | closed(f14(X4,cx,ct,X5),cx,ct)
    | element_of_set(X5,f14(a,cx,ct,f11(X3,f14(sF1,X0,X1,X2)))) ) ).

cnf(u9712,negated_conjecture,
    ( element_of_set(f11(X0,a),f1(top_of_basis(X1),f11(X0,a)))
    | element_of_set(X2,interior(a,cx,X0))
    | element_of_set(f11(X1,a),a)
    | ~ topological_space(cx,X0)
    | ~ element_of_set(X2,a) ) ).

cnf(u4079,axiom,
    ( ~ closed(f13(a,cx,ct,f19(sF0,X0)),X2,X3)
    | ~ topological_space(sF0,X0)
    | element_of_set(f19(closure(X1,X2,X3),X4),union_of_members(ct))
    | hausdorff(closure(X1,X2,X3),X4)
    | ~ subset_sets(X1,f13(a,cx,ct,f19(sF0,X0)))
    | hausdorff(sF0,X0)
    | ~ topological_space(closure(X1,X2,X3),X4) ) ).

cnf(u9821,axiom,
    ( ~ element_of_set(X9,f13(X0,X1,top_of_basis(subspace_topology(X2,X3,X4)),f7(closure(X7,X5,X6),X8)))
    | basis(closure(X7,X5,X6),X8)
    | ~ topological_space(closure(X7,X5,X6),X8)
    | ~ subset_sets(X7,interior(X0,X1,top_of_basis(subspace_topology(X2,X3,X4))))
    | ~ closed(interior(X0,X1,top_of_basis(subspace_topology(X2,X3,X4))),X5,X6)
    | topological_space(X2,X3) ) ).

cnf(u3826,axiom,
    ( element_of_set(f11(X4,f1(X1,X3)),union_of_members(X1))
    | limit_point(X3,X2,X0,X1)
    | ~ subset_sets(X2,X0)
    | ~ topological_space(X0,X1)
    | element_of_collection(f1(X1,X3),top_of_basis(X4)) ) ).

cnf(u577,axiom,
    ( ~ subset_sets(f13(a,cx,ct,f11(X1,X0)),X0)
    | ~ element_of_collection(f13(a,cx,ct,f11(X1,X0)),X1)
    | element_of_collection(X0,top_of_basis(X1))
    | ~ element_of_set(f11(X1,X0),sF0) ) ).

cnf(u9028,negated_conjecture,
    ( element_of_set(X1,f13(a,cx,X0,X1))
    | element_of_set(f11(X0,a),sF0)
    | ~ element_of_set(X1,a)
    | ~ topological_space(cx,X0) ) ).

cnf(u10618,axiom,
    ( element_of_set(f7(closure(X0,X1,X2),X3),interior(cx,cx,X4))
    | ~ closed(a,cx,X4)
    | ~ closed(relative_complement_sets(a,cx),X1,X2)
    | basis(closure(X0,X1,X2),X3) ) ).

cnf(u264,axiom,
    ( element_of_collection(f1(X0,f20(union_of_members(X0),X1)),X0)
    | hausdorff(union_of_members(X0),X1)
    | ~ topological_space(union_of_members(X0),X1) ) ).

cnf(u8058,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,f11(X5,sF0)),X1,X2)
    | ~ element_of_set(X4,sF0)
    | element_of_set(X4,f10(X5,sF0,X4))
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ subset_sets(X0,f13(a,cx,ct,f11(X5,sF0)))
    | element_of_set(f19(closure(X0,X1,X2),X3),sF0)
    | ~ topological_space(closure(X0,X1,X2),X3) ) ).

cnf(u7031,axiom,
    ( ~ closed(relative_complement_sets(X4,X5),X2,X3)
    | ~ element_of_set(X6,closure(X1,X2,X3))
    | element_of_set(X6,f10(X0,closure(X1,X2,X3),X6))
    | ~ subset_sets(X1,relative_complement_sets(X4,X5))
    | element_of_set(f11(X0,closure(X1,X2,X3)),union_of_members(X7))
    | ~ closed(X4,X5,X7) ) ).

cnf(u347,axiom,
    ( element_of_set(f7(closure(X0,X1,X2),X3),X4)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | ~ subset_sets(X0,X4)
    | ~ closed(X4,X1,X2)
    | basis(closure(X0,X1,X2),X3) ) ).

cnf(u1265,negated_conjecture,
    ( ~ subset_sets(X3,f14(X0,cx,ct,X1))
    | ~ subset_sets(X0,a)
    | element_of_set(X2,a)
    | ~ subset_sets(X0,cx)
    | ~ subset_sets(X3,cx)
    | element_of_set(X1,f14(X0,cx,ct,X2))
    | subset_sets(X3,f14(X3,cx,ct,X4))
    | element_of_set(X4,f14(X0,cx,ct,X1)) ) ).

cnf(u6644,negated_conjecture,
    ( basis(closure(X0,X1,X2),subspace_topology(X3,X4,closure(X0,X1,X2)))
    | ~ closed(sF1,X1,X2)
    | ~ subset_sets(X0,sF1)
    | ~ compact_set(closure(X0,X1,X2),X3,X4) ) ).

cnf(u952,axiom,
    ( ~ closed(intersection_of_sets(f16(X4,X5,X6,X7),X5),X1,X2)
    | ~ subset_sets(X0,intersection_of_sets(f16(X4,X5,X6,X7),X5))
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | ~ topological_space(X6,X7)
    | ~ subset_sets(X5,X6)
    | limit_point(X4,X5,X6,X7)
    | eq_p(f19(closure(X0,X1,X2),X3),X4) ) ).

cnf(u8204,axiom,
    ( ~ closed(f13(X1,X2,X3,f11(X4,interior(X1,X2,X3))),X6,X7)
    | element_of_set(X0,f10(X4,interior(X1,X2,X3),X0))
    | element_of_set(f19(closure(X5,X6,X7),X8),interior(X1,X2,X3))
    | hausdorff(closure(X5,X6,X7),X8)
    | ~ subset_sets(X5,f13(X1,X2,X3,f11(X4,interior(X1,X2,X3))))
    | ~ element_of_set(X0,interior(X1,X2,X3))
    | ~ topological_space(closure(X5,X6,X7),X8) ) ).

cnf(u7376,axiom,
    ( ~ topological_space(f14(X0,X1,X2,f11(X6,f14(closure(X0,X1,X2),X3,X4,X5))),X8)
    | ~ element_of_collection(closure(X0,X1,X2),X6)
    | ~ subset_sets(X0,X1)
    | ~ topological_space(X1,X2)
    | element_of_set(X5,closure(closure(X0,X1,X2),X3,X4))
    | ~ subset_sets(closure(X0,X1,X2),X3)
    | ~ topological_space(X3,X4)
    | ~ element_of_collection(X7,X8)
    | element_of_collection(f14(closure(X0,X1,X2),X3,X4,X5),top_of_basis(X6))
    | ~ element_of_set(X9,X7)
    | ~ subset_sets(X7,X0)
    | element_of_set(X9,interior(X0,f14(X0,X1,X2,f11(X6,f14(closure(X0,X1,X2),X3,X4,X5))),X8)) ) ).

cnf(u3979,axiom,
    ( element_of_set(f11(X0,f13(X1,X2,X3,f11(X4,interior(X1,X2,X3)))),f13(X1,X2,X3,f11(X4,interior(X1,X2,X3))))
    | element_of_set(f11(X4,interior(X1,X2,X3)),union_of_members(top_of_basis(X0)))
    | element_of_collection(interior(X1,X2,X3),top_of_basis(X4)) ) ).

cnf(u7215,axiom,
    ( ~ closed(f10(X0,boundary(X1,X2,X3),X4),X2,X3)
    | ~ subset_sets(X1,f10(X0,boundary(X1,X2,X3),X4))
    | ~ element_of_collection(f10(X0,boundary(X1,X2,X3),X4),X5)
    | element_of_collection(boundary(X1,X2,X3),top_of_basis(X5))
    | ~ element_of_set(X4,boundary(X1,X2,X3))
    | ~ element_of_collection(boundary(X1,X2,X3),top_of_basis(X0)) ) ).

cnf(u9447,negated_conjecture,
    ( element_of_collection(f1(subspace_topology(X0,X1,cx),X2),subspace_topology(X0,X1,cx))
    | ~ element_of_set(X2,a)
    | element_of_set(f11(subspace_topology(X0,X1,cx),a),sF0)
    | ~ compact_set(cx,X0,X1) ) ).

cnf(u3829,axiom,
    ( ~ topological_space(f1(X1,X3),X4)
    | ~ subset_sets(X2,X0)
    | limit_point(X3,X2,X0,X1)
    | element_of_set(f19(f1(X1,X3),X4),union_of_members(X1))
    | ~ topological_space(X0,X1)
    | hausdorff(f1(X1,X3),X4) ) ).

cnf(u11240,axiom,
    ( element_of_set(f20(closure(X0,X4,X5),X6),X7)
    | hausdorff(closure(X0,X4,X5),X6) ) ).

cnf(u9904,axiom,
    ( element_of_set(f11(subspace_topology(X0,X1,X2),f10(X3,closure(X4,X5,X6),X7)),f10(X3,closure(X4,X5,X6),X7))
    | element_of_set(f11(X3,closure(X4,X5,X6)),f13(X8,X9,X10,f11(X3,closure(X4,X5,X6))))
    | topological_space(X0,X1)
    | ~ closed(interior(X8,X9,X10),X5,X6)
    | ~ subset_sets(X4,interior(X8,X9,X10))
    | ~ element_of_set(X7,closure(X4,X5,X6)) ) ).

cnf(u6681,negated_conjecture,
    ( element_of_set(f11(X4,interior(a,sF0,ct)),interior(a,sF0,ct))
    | element_of_set(f11(X3,closure(X0,X1,X2)),union_of_members(top_of_basis(X4)))
    | ~ subset_sets(X0,sF0)
    | ~ closed(sF0,X1,X2)
    | element_of_collection(closure(X0,X1,X2),top_of_basis(X3)) ) ).

cnf(u791,axiom,
    ( ~ closed(f13(X4,X5,X6,f19(interior(X4,X5,X6),X7)),X2,X3)
    | element_of_collection(closure(X1,X2,X3),top_of_basis(X0))
    | ~ subset_sets(X1,f13(X4,X5,X6,f19(interior(X4,X5,X6),X7)))
    | ~ topological_space(interior(X4,X5,X6),X7)
    | hausdorff(interior(X4,X5,X6),X7)
    | element_of_set(f11(X0,closure(X1,X2,X3)),interior(X4,X5,X6)) ) ).

cnf(u6560,negated_conjecture,
    ( ~ topological_space(boundary(X2,X0,X1),X3)
    | ~ subset_sets(X2,sF1)
    | basis(boundary(X2,X0,X1),X3)
    | ~ closed(sF1,X0,X1) ) ).

cnf(u11921,axiom,
    ( ~ open(X2,X0,X1)
    | ~ element_of_set(X3,X2) ) ).

cnf(u7538,axiom,
    ( ~ subset_sets(X1,X1)
    | ~ element_of_set(X2,X1)
    | ~ element_of_collection(X1,X0)
    | element_of_set(X2,f10(X0,X1,X2)) ) ).

cnf(u888,negated_conjecture,
    ( subset_sets(f13(f14(X0,cx,ct,X1),X2,X3,f11(X7,closure(X6,X4,X5))),f14(f13(f14(X0,cx,ct,X1),X2,X3,f11(X7,closure(X6,X4,X5))),cx,ct,X8))
    | ~ subset_sets(X6,interior(f14(X0,cx,ct,X1),X2,X3))
    | element_of_collection(closure(X6,X4,X5),top_of_basis(X7))
    | ~ subset_sets(X0,cx)
    | element_of_set(X1,a)
    | ~ subset_sets(f13(f14(X0,cx,ct,X1),X2,X3,f11(X7,closure(X6,X4,X5))),cx)
    | ~ subset_sets(X0,a)
    | ~ closed(interior(f14(X0,cx,ct,X1),X2,X3),X4,X5)
    | element_of_set(X8,f14(X0,cx,ct,X1)) ) ).

cnf(u7016,axiom,
    ( ~ element_of_set(X5,closure(X1,X2,X3))
    | element_of_set(X5,f10(X0,closure(X1,X2,X3),X5))
    | ~ closed(X4,X2,X3)
    | ~ subset_sets(X1,X4)
    | element_of_set(f11(X6,X4),X4)
    | element_of_set(f11(X0,closure(X1,X2,X3)),union_of_members(top_of_basis(X6))) ) ).

cnf(u246,negated_conjecture,
    ( element_of_set(X0,union_of_members(ct))
    | ~ element_of_set(X0,cx) ) ).

cnf(u7507,axiom,
    ( element_of_set(f11(X0,f13(X1,X2,X3,f19(interior(X1,X2,X3),X4))),interior(X1,X2,X3))
    | element_of_set(X5,f10(X0,f13(X1,X2,X3,f19(interior(X1,X2,X3),X4)),X5))
    | ~ topological_space(interior(X1,X2,X3),X4)
    | hausdorff(interior(X1,X2,X3),X4)
    | ~ element_of_set(X5,f13(X1,X2,X3,f19(interior(X1,X2,X3),X4))) ) ).

cnf(u7148,axiom,
    ( ~ closed(interior(X2,X3,X4),cx,ct)
    | open(f13(X2,X3,X4,f11(X1,sF1)),X3,X4)
    | element_of_set(X0,f10(X1,sF1,X0))
    | ~ subset_sets(a,interior(X2,X3,X4))
    | ~ element_of_set(X0,sF1) ) ).

cnf(u9440,negated_conjecture,
    ( ~ subset_sets(f10(X2,a,f11(X0,X1)),X1)
    | ~ element_of_set(f11(X0,X1),a)
    | element_of_collection(X1,top_of_basis(X0))
    | ~ element_of_collection(f10(X2,a,f11(X0,X1)),X0)
    | element_of_set(f11(X2,a),sF0) ) ).

cnf(u1239,axiom,
    ( ~ limit_point(X0,X1,X6,subspace_topology(X4,X5,f16(X0,X1,X2,X3)))
    | limit_point(X0,X1,X2,X3)
    | ~ connected_set(f16(X0,X1,X2,X3),X4,X5)
    | ~ topological_space(X2,X3)
    | ~ subset_sets(X1,X2) ) ).

cnf(u7076,axiom,
    ( ~ closed(boundary(X4,X5,X6),X2,X3)
    | ~ element_of_set(X7,closure(X1,X2,X3))
    | element_of_set(X7,f10(X0,closure(X1,X2,X3),X7))
    | ~ subset_sets(X1,boundary(X4,X5,X6))
    | subset_sets(X4,X5) ) ).

cnf(u1090,negated_conjecture,
    ( ~ subset_sets(a,f14(a,cx,ct,f11(X0,X1)))
    | element_of_collection(X1,top_of_basis(X0))
    | ~ subset_sets(sF1,X1)
    | hausdorff(sF1,X2)
    | ~ element_of_collection(sF1,X0)
    | element_of_set(f19(sF1,X2),f14(a,cx,ct,f11(X0,X1)))
    | ~ topological_space(sF1,X2) ) ).

cnf(u9946,axiom,
    ( ~ closed(X3,X6,X7)
    | element_of_set(f11(subspace_topology(X0,X1,X2),X3),X3)
    | element_of_collection(boundary(X5,X6,X7),top_of_basis(X4))
    | topological_space(X0,X1)
    | ~ subset_sets(X5,X3) ) ).

cnf(u886,axiom,
    ( ~ element_of_collection(f13(f13(a,cx,ct,X0),X1,X2,f11(X6,closure(X5,X3,X4))),X7)
    | ~ subset_sets(X5,interior(f13(a,cx,ct,X0),X1,X2))
    | element_of_collection(closure(X5,X3,X4),top_of_basis(X6))
    | ~ topological_space(a,X7)
    | ~ element_of_set(X8,f13(f13(a,cx,ct,X0),X1,X2,f11(X6,closure(X5,X3,X4))))
    | ~ closed(interior(f13(a,cx,ct,X0),X1,X2),X3,X4)
    | element_of_set(X8,interior(f13(a,cx,ct,X0),a,X7))
    | ~ element_of_set(X0,sF0) ) ).

cnf(u392,negated_conjecture,
    ( ~ element_of_collection(f13(a,cx,ct,f20(sF0,X0)),X1)
    | ~ topological_space(sF0,X0)
    | ~ topological_space(cx,X1)
    | ~ element_of_set(X2,f13(a,cx,ct,f20(sF0,X0)))
    | hausdorff(sF0,X0)
    | element_of_set(X2,interior(a,cx,X1)) ) ).

cnf(topological_space_8,axiom,
    ( ~ topological_space(X0,X1)
    | element_of_collection(empty_set,X1) ) ).

cnf(u7108,axiom,
    ( ~ closed(f13(closure(X0,X1,X2),X3,X4,f11(X5,closure(X6,X7,X8))),X1,X2)
    | ~ closed(interior(closure(X0,X1,X2),X3,X4),X7,X8)
    | ~ subset_sets(X6,interior(closure(X0,X1,X2),X3,X4))
    | ~ element_of_set(X9,closure(X6,X7,X8))
    | ~ element_of_set(X10,closure(X0,X1,X2))
    | element_of_set(X9,f10(X5,closure(X6,X7,X8),X9))
    | ~ subset_sets(X0,f13(closure(X0,X1,X2),X3,X4,f11(X5,closure(X6,X7,X8))))
    | ~ element_of_collection(f13(closure(X0,X1,X2),X3,X4,f11(X5,closure(X6,X7,X8))),X11)
    | element_of_set(X10,f10(X11,closure(X0,X1,X2),X10)) ) ).

cnf(u7136,axiom,
    ( ~ closed(f13(X0,X1,X2,f11(X7,closure(X5,X3,X4))),X9,X10)
    | ~ subset_sets(X5,interior(X0,X1,X2))
    | ~ element_of_set(X6,closure(X5,X3,X4))
    | element_of_set(X6,f10(X7,closure(X5,X3,X4),X6))
    | element_of_set(f19(closure(X8,X9,X10),X11),interior(X0,X1,X2))
    | hausdorff(closure(X8,X9,X10),X11)
    | ~ subset_sets(X8,f13(X0,X1,X2,f11(X7,closure(X5,X3,X4))))
    | ~ closed(interior(X0,X1,X2),X3,X4)
    | ~ topological_space(closure(X8,X9,X10),X11) ) ).

cnf(u877,axiom,
    ( element_of_set(f11(X4,closure(X3,X1,X2)),X0)
    | subset_sets(X3,f14(X3,X1,X2,X5))
    | element_of_set(X5,union_of_members(top_of_basis(X4)))
    | ~ subset_sets(X3,X0)
    | ~ closed(X0,X1,X2)
    | ~ subset_sets(X3,X1) ) ).

cnf(u796,axiom,
    ( ~ closed(closure(X4,X5,X6),X2,X3)
    | element_of_collection(closure(X1,X2,X3),top_of_basis(X0))
    | ~ subset_sets(X1,closure(X4,X5,X6))
    | ~ subset_sets(X4,X7)
    | ~ closed(X7,X5,X6)
    | element_of_set(f11(X0,closure(X1,X2,X3)),X7) ) ).

cnf(u8400,negated_conjecture,
    ( subset_sets(f13(a,cx,X0,f11(subspace_topology(X2,X3,X1),interior(a,cx,X0))),a)
    | subset_sets(X1,X2)
    | ~ topological_space(cx,X0)
    | element_of_set(f11(X0,a),a) ) ).

cnf(u9909,axiom,
    ( element_of_set(f11(subspace_topology(X0,X1,X2),f10(X3,sF0,X4)),f10(X3,sF0,X4))
    | subset_sets(f13(a,cx,ct,f11(X3,sF0)),a)
    | topological_space(X0,X1)
    | ~ element_of_set(X4,sF0) ) ).

cnf(u1129,axiom,
    ( ~ element_of_set(X7,f13(X0,X1,X2,f19(closure(X5,X3,X4),X6)))
    | ~ topological_space(closure(X5,X3,X4),X6)
    | hausdorff(closure(X5,X3,X4),X6)
    | ~ subset_sets(X5,interior(X0,X1,X2))
    | ~ closed(interior(X0,X1,X2),X3,X4)
    | element_of_set(X7,union_of_members(X2)) ) ).

cnf(u9869,axiom,
    ( ~ element_of_set(X6,f13(X0,X1,top_of_basis(subspace_topology(X2,X3,X4)),f7(interior(X0,X1,top_of_basis(subspace_topology(X2,X3,X4))),X5)))
    | ~ topological_space(interior(X0,X1,top_of_basis(subspace_topology(X2,X3,X4))),X5)
    | basis(interior(X0,X1,top_of_basis(subspace_topology(X2,X3,X4))),X5)
    | topological_space(X2,X3) ) ).

cnf(u1629,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,f19(closure(X4,X5,X6),X7)),X1,X2)
    | ~ subset_sets(X0,f13(a,cx,ct,f19(closure(X4,X5,X6),X7)))
    | ~ topological_space(closure(X0,X1,X2),X3)
    | basis(closure(X0,X1,X2),X3)
    | ~ closed(sF0,X5,X6)
    | ~ subset_sets(X4,sF0)
    | ~ topological_space(closure(X4,X5,X6),X7)
    | hausdorff(closure(X4,X5,X6),X7)
    | element_of_set(f7(closure(X0,X1,X2),X3),sF0) ) ).

cnf(u968,axiom,
    ( ~ closed(f13(X4,X5,X6,f20(interior(X4,X5,X6),X7)),X1,X2)
    | ~ subset_sets(X0,f13(X4,X5,X6,f20(interior(X4,X5,X6),X7)))
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | ~ topological_space(interior(X4,X5,X6),X7)
    | hausdorff(interior(X4,X5,X6),X7)
    | element_of_set(f19(closure(X0,X1,X2),X3),interior(X4,X5,X6)) ) ).

cnf(u659,axiom,
    ( element_of_set(f20(closure(X0,X1,X2),X3),closure(X4,X5,X6))
    | ~ subset_sets(X0,boundary(X4,X5,X6))
    | ~ closed(boundary(X4,X5,X6),X1,X2)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | hausdorff(closure(X0,X1,X2),X3) ) ).

cnf(u11914,axiom,
    ( open(f13(X5,X6,X7,f15(X1,X4,X2,X3,X0)),X6,X7)
    | ~ neighborhood(X0,X1,X2,X3) ) ).

cnf(u9451,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X1,X3,X0),a),union_of_members(top_of_basis(X2)))
    | element_of_set(f11(X2,sF0),sF0)
    | subset_sets(X0,X1) ) ).

cnf(u10846,negated_conjecture,
    ( ~ equal_sets(union_of_members(X1),X0)
    | basis(X0,X1) ) ).

cnf(u1250,negated_conjecture,
    ( closed(f14(f13(f14(X0,cx,ct,X1),X2,X3,f20(closure(X4,X5,X6),X7)),cx,ct,X8),cx,ct)
    | element_of_set(X1,a)
    | ~ subset_sets(f13(f14(X0,cx,ct,X1),X2,X3,f20(closure(X4,X5,X6),X7)),cx)
    | ~ subset_sets(X0,a)
    | ~ subset_sets(X0,cx)
    | element_of_set(X8,f14(X0,cx,ct,X1))
    | ~ subset_sets(X4,interior(f14(X0,cx,ct,X1),X2,X3))
    | ~ closed(interior(f14(X0,cx,ct,X1),X2,X3),X5,X6)
    | ~ topological_space(closure(X4,X5,X6),X7)
    | hausdorff(closure(X4,X5,X6),X7) ) ).

cnf(u4056,negated_conjecture,
    ( element_of_set(f19(f10(X0,a,X1),X2),interior(a,cx,X0))
    | ~ element_of_collection(a,top_of_basis(X0))
    | ~ element_of_set(X1,a)
    | ~ topological_space(cx,X0)
    | ~ topological_space(f10(X0,a,X1),X2)
    | hausdorff(f10(X0,a,X1),X2) ) ).

cnf(u6995,axiom,
    ( element_of_set(X0,f10(X1,f2(top_of_basis(X1),X2),X0))
    | ~ element_of_set(X0,f2(top_of_basis(X1),X2))
    | element_of_set(X2,intersection_of_members(top_of_basis(X1))) ) ).

cnf(u787,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,X4),X2,X3)
    | element_of_collection(closure(X1,X2,X3),top_of_basis(X0))
    | ~ subset_sets(X1,f13(a,cx,ct,X4))
    | element_of_set(f11(X0,closure(X1,X2,X3)),sF0)
    | ~ element_of_set(X4,sF0) ) ).

cnf(u3984,negated_conjecture,
    ( element_of_set(f11(X0,f14(a,cx,ct,X1)),f14(a,cx,ct,X1))
    | element_of_set(f11(X2,sF1),union_of_members(top_of_basis(X0)))
    | element_of_set(X3,union_of_members(top_of_basis(X2)))
    | ~ element_of_set(X3,sF1)
    | element_of_set(X1,sF1) ) ).

cnf(problem_9_142,negated_conjecture,
    topological_space(cx,ct) ).

cnf(u242,negated_conjecture,
    ( element_of_set(X2,interior(f14(f13(a,cx,ct,X0),cx,ct,X1),cx,ct))
    | element_of_set(X1,a)
    | ~ subset_sets(f14(f13(a,cx,ct,X0),cx,ct,X1),cx)
    | ~ element_of_set(X2,f13(a,cx,ct,X0))
    | ~ element_of_set(X0,sF0)
    | ~ subset_sets(f13(a,cx,ct,X0),cx) ) ).

cnf(u9798,axiom,
    ( ~ element_of_set(X4,f1(top_of_basis(subspace_topology(X0,X1,X2)),f11(X3,union_of_members(top_of_basis(subspace_topology(X0,X1,X2))))))
    | element_of_collection(union_of_members(top_of_basis(subspace_topology(X0,X1,X2))),top_of_basis(X3))
    | subset_sets(X2,X0) ) ).

cnf(u1721,axiom,
    ( element_of_set(f11(X7,f13(X4,X5,X6,f20(closure(X0,X1,X2),X3))),interior(X4,X5,X6))
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ closed(interior(X4,X5,X6),X1,X2)
    | ~ subset_sets(X0,interior(X4,X5,X6))
    | ~ topological_space(closure(X0,X1,X2),X3)
    | element_of_collection(f13(X4,X5,X6,f20(closure(X0,X1,X2),X3)),top_of_basis(X7)) ) ).

cnf(u3600,axiom,
    ( ~ closed(f13(X4,X5,X6,f19(sF1,X7)),X2,X3)
    | element_of_collection(boundary(X1,X2,X3),top_of_basis(X0))
    | ~ subset_sets(X1,f13(X4,X5,X6,f19(sF1,X7)))
    | ~ topological_space(sF1,X7)
    | hausdorff(sF1,X7)
    | ~ closed(interior(X4,X5,X6),cx,ct)
    | ~ subset_sets(a,interior(X4,X5,X6))
    | element_of_set(f11(X0,boundary(X1,X2,X3)),interior(X4,X5,X6)) ) ).

cnf(u457,negated_conjecture,
    ( element_of_set(X2,interior(f14(f13(a,cx,ct,f19(sF0,X0)),cx,ct,X1),cx,ct))
    | ~ subset_sets(f14(f13(a,cx,ct,f19(sF0,X0)),cx,ct,X1),cx)
    | ~ element_of_set(X2,f13(a,cx,ct,f19(sF0,X0)))
    | hausdorff(sF0,X0)
    | ~ topological_space(sF0,X0)
    | ~ subset_sets(f13(a,cx,ct,f19(sF0,X0)),cx)
    | element_of_set(X1,a) ) ).

cnf(u256,negated_conjecture,
    ( ~ subset_sets(X2,f14(X0,cx,ct,X1))
    | ~ subset_sets(X0,cx)
    | element_of_set(X1,a)
    | ~ subset_sets(X2,cx)
    | ~ subset_sets(X0,a)
    | closed(f14(X2,cx,ct,X3),cx,ct)
    | element_of_set(X3,f14(X0,cx,ct,X1)) ) ).

cnf(u1150,axiom,
    ( ~ subset_sets(f13(X0,X1,X2,f11(X6,closure(X5,X3,X4))),closure(X5,X3,X4))
    | ~ subset_sets(X5,interior(X0,X1,X2))
    | element_of_collection(closure(X5,X3,X4),top_of_basis(X6))
    | ~ element_of_collection(f13(X0,X1,X2,f11(X6,closure(X5,X3,X4))),X6)
    | ~ closed(interior(X0,X1,X2),X3,X4) ) ).

cnf(u404,axiom,
    ( ~ topological_space(X0,subspace_topology(X1,X2,X3))
    | basis(X0,subspace_topology(X1,X2,X3))
    | subset_sets(X3,X1) ) ).

cnf(u3951,negated_conjecture,
    ( element_of_set(f11(X0,f1(ct,X1)),f1(ct,X1))
    | element_of_set(X1,union_of_members(top_of_basis(X0)))
    | ~ element_of_set(X1,cx) ) ).

cnf(u11915,axiom,
    ( element_of_set(f15(X1,X4,X2,X3,X0),f13(X5,X6,X7,f15(X1,X4,X2,X3,X0)))
    | ~ neighborhood(X0,X1,X2,X3) ) ).

cnf(u6844,negated_conjecture,
    ( element_of_set(X7,interior(f14(f16(X2,X3,X4,X5),X0,X1,X6),X4,X5))
    | ~ subset_sets(f16(X2,X3,X4,X5),sF1)
    | ~ subset_sets(f16(X2,X3,X4,X5),X0)
    | limit_point(X2,X3,X4,X5)
    | ~ topological_space(X4,X5)
    | ~ subset_sets(f14(f16(X2,X3,X4,X5),X0,X1,X6),X4)
    | ~ element_of_set(X7,f16(X2,X3,X4,X5))
    | ~ subset_sets(X3,X4)
    | ~ closed(sF1,X0,X1) ) ).

cnf(u3668,axiom,
    ( ~ closed(f13(X4,X5,X6,f11(X3,boundary(X0,X1,X2))),X9,X10)
    | ~ subset_sets(X0,interior(X4,X5,X6))
    | ~ closed(interior(X4,X5,X6),X1,X2)
    | element_of_set(f11(X7,closure(X8,X9,X10)),interior(X4,X5,X6))
    | element_of_collection(closure(X8,X9,X10),top_of_basis(X7))
    | element_of_collection(boundary(X0,X1,X2),top_of_basis(X3))
    | ~ subset_sets(X8,f13(X4,X5,X6,f11(X3,boundary(X0,X1,X2)))) ) ).

cnf(u585,axiom,
    ( element_of_collection(f9(X0,f24(X0,X1)),f24(X0,X1))
    | compact_space(X0,X1)
    | basis(X0,f24(X0,X1))
    | ~ topological_space(X0,X1) ) ).

cnf(u227,axiom,
    ( element_of_collection(f22(X0,X1),X1)
    | connected_space(X0,X1)
    | ~ topological_space(X0,X1) ) ).

cnf(u11965,negated_conjecture,
    ( ~ element_of_set(X0,f13(a,cx,X1,f20(f13(a,cx,X1,X2),X3)))
    | element_of_set(f11(X1,a),a)
    | hausdorff(f13(a,cx,X1,X2),X3)
    | ~ element_of_set(X2,a) ) ).

cnf(u8412,negated_conjecture,
    ( ~ element_of_collection(f13(a,cx,X2,f11(subspace_topology(X1,X5,X0),interior(a,cx,X2))),X3)
    | ~ topological_space(cx,X2)
    | element_of_set(f11(X2,a),a)
    | ~ topological_space(cx,X3)
    | ~ element_of_set(X4,f13(a,cx,X2,f11(subspace_topology(X1,X5,X0),interior(a,cx,X2))))
    | subset_sets(X0,X1)
    | element_of_set(X4,interior(a,cx,X3)) ) ).

cnf(u7285,axiom,
    ( ~ closed(f13(a,cx,ct,f7(sF0,X0)),X3,X4)
    | basis(sF0,X0)
    | element_of_set(f11(X1,boundary(X2,X3,X4)),union_of_members(ct))
    | element_of_collection(boundary(X2,X3,X4),top_of_basis(X1))
    | ~ topological_space(sF0,X0)
    | ~ subset_sets(X2,f13(a,cx,ct,f7(sF0,X0))) ) ).

cnf(u355,negated_conjecture,
    ( ~ element_of_collection(f13(a,X0,X1,f19(interior(a,X0,X1),X2)),X3)
    | ~ topological_space(interior(a,X0,X1),X2)
    | ~ topological_space(cx,X3)
    | ~ element_of_set(X4,f13(a,X0,X1,f19(interior(a,X0,X1),X2)))
    | hausdorff(interior(a,X0,X1),X2)
    | element_of_set(X4,interior(a,cx,X3)) ) ).

cnf(u16618,axiom,
    ( ~ connected_set(X0,X2,X3)
    | connected_space(X0,X1) ) ).

cnf(u3673,axiom,
    ( ~ closed(f13(X4,X5,X6,f11(X3,boundary(X0,X1,X2))),X8,X9)
    | ~ subset_sets(X0,interior(X4,X5,X6))
    | ~ closed(interior(X4,X5,X6),X1,X2)
    | element_of_set(f20(closure(X7,X8,X9),X10),interior(X4,X5,X6))
    | hausdorff(closure(X7,X8,X9),X10)
    | ~ subset_sets(X7,f13(X4,X5,X6,f11(X3,boundary(X0,X1,X2))))
    | element_of_collection(boundary(X0,X1,X2),top_of_basis(X3))
    | ~ topological_space(closure(X7,X8,X9),X10) ) ).

cnf(u11063,negated_conjecture,
    ( element_of_set(f20(boundary(X0,X1,X2),X3),interior(a,sF0,X4))
    | hausdorff(boundary(X0,X1,X2),X3) ) ).

cnf(u302,negated_conjecture,
    ( element_of_set(X5,interior(f14(f16(X0,X1,X2,X3),cx,ct,X4),X2,X3))
    | ~ topological_space(X2,X3)
    | ~ subset_sets(f14(f16(X0,X1,X2,X3),cx,ct,X4),X2)
    | ~ element_of_set(X5,f16(X0,X1,X2,X3))
    | ~ subset_sets(X1,X2)
    | limit_point(X0,X1,X2,X3)
    | ~ subset_sets(f16(X0,X1,X2,X3),a)
    | ~ subset_sets(f16(X0,X1,X2,X3),cx)
    | element_of_set(X4,a) ) ).

cnf(u7099,axiom,
    ( ~ closed(f13(closure(X1,X2,X3),X4,X5,f20(closure(X6,X7,X8),X9)),X2,X3)
    | ~ element_of_set(X0,closure(X1,X2,X3))
    | ~ subset_sets(X1,f13(closure(X1,X2,X3),X4,X5,f20(closure(X6,X7,X8),X9)))
    | ~ element_of_collection(f13(closure(X1,X2,X3),X4,X5,f20(closure(X6,X7,X8),X9)),X10)
    | element_of_set(X0,f10(X10,closure(X1,X2,X3),X0))
    | ~ subset_sets(X6,interior(closure(X1,X2,X3),X4,X5))
    | ~ closed(interior(closure(X1,X2,X3),X4,X5),X7,X8)
    | ~ topological_space(closure(X6,X7,X8),X9)
    | hausdorff(closure(X6,X7,X8),X9) ) ).

cnf(u9452,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X6,X7,X5),f10(X1,closure(X2,X3,X4),X0)),f10(X1,closure(X2,X3,X4),X0))
    | ~ element_of_set(X0,closure(X2,X3,X4))
    | ~ closed(a,X3,X4)
    | ~ subset_sets(X2,a)
    | subset_sets(X5,X6)
    | element_of_set(f11(X1,closure(X2,X3,X4)),sF0) ) ).

cnf(u8200,axiom,
    ( ~ closed(f13(X1,X2,X3,f11(X4,interior(X1,X2,X3))),X7,X8)
    | element_of_set(X0,f10(X4,interior(X1,X2,X3),X0))
    | element_of_set(f11(X5,closure(X6,X7,X8)),interior(X1,X2,X3))
    | element_of_set(X9,f10(X5,closure(X6,X7,X8),X9))
    | ~ element_of_set(X9,closure(X6,X7,X8))
    | ~ element_of_set(X0,interior(X1,X2,X3))
    | ~ subset_sets(X6,f13(X1,X2,X3,f11(X4,interior(X1,X2,X3)))) ) ).

cnf(u9890,axiom,
    ( element_of_set(f11(subspace_topology(X0,X1,X2),f1(ct,X3)),f1(ct,X3))
    | topological_space(X0,X1)
    | ~ element_of_set(X3,sF0) ) ).

cnf(u6608,negated_conjecture,
    ( element_of_set(f11(X4,interior(a,sF0,ct)),interior(a,sF0,ct))
    | element_of_set(f20(closure(X0,X1,X2),X3),union_of_members(top_of_basis(X4)))
    | ~ subset_sets(X0,sF0)
    | ~ closed(sF0,X1,X2)
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ topological_space(closure(X0,X1,X2),X3) ) ).

cnf(intersection_of_members_5,axiom,
    ( element_of_collection(f2(X1,X0),X1)
    | element_of_set(X0,intersection_of_members(X1)) ) ).

cnf(u1395,negated_conjecture,
    ( ~ subset_sets(f13(a,cx,ct,f7(sF0,X0)),X1)
    | basis(sF0,X0)
    | ~ subset_sets(X1,cx)
    | ~ element_of_set(X2,f13(a,cx,ct,f7(sF0,X0)))
    | ~ topological_space(sF0,X0)
    | element_of_set(X2,interior(X1,cx,ct)) ) ).

cnf(u917,axiom,
    ( ~ element_of_set(X7,f13(X1,X2,X3,f11(X6,closure(X0,X4,X5))))
    | element_of_collection(closure(X0,X4,X5),top_of_basis(X6))
    | ~ subset_sets(X0,interior(X1,X2,X3))
    | ~ closed(interior(X1,X2,X3),X4,X5)
    | element_of_set(X7,interior(X1,X2,X3)) ) ).

cnf(u1114,axiom,
    ( ~ element_of_set(X7,f13(X0,X1,X2,f20(closure(X5,X3,X4),X6)))
    | ~ topological_space(closure(X5,X3,X4),X6)
    | hausdorff(closure(X5,X3,X4),X6)
    | ~ subset_sets(X5,interior(X0,X1,X2))
    | ~ closed(interior(X0,X1,X2),X3,X4)
    | element_of_set(X7,union_of_members(X2)) ) ).

cnf(u8016,axiom,
    ( ~ subset_sets(X5,f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))))
    | ~ element_of_set(X4,interior(X0,X1,X2))
    | ~ element_of_collection(X5,X6)
    | ~ topological_space(X0,X6)
    | ~ element_of_set(X7,X5)
    | element_of_set(X4,f10(X3,interior(X0,X1,X2),X4))
    | element_of_set(X7,interior(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X0,X6)) ) ).

cnf(u490,negated_conjecture,
    ( element_of_set(X4,interior(f14(f13(a,cx,ct,f20(sF0,X0)),X1,X2,X3),cx,ct))
    | ~ subset_sets(f14(f13(a,cx,ct,f20(sF0,X0)),X1,X2,X3),cx)
    | ~ element_of_set(X4,f13(a,cx,ct,f20(sF0,X0)))
    | hausdorff(sF0,X0)
    | ~ topological_space(sF0,X0)
    | element_of_set(X3,closure(f13(a,cx,ct,f20(sF0,X0)),X1,X2))
    | ~ subset_sets(f13(a,cx,ct,f20(sF0,X0)),X1)
    | ~ topological_space(X1,X2) ) ).

cnf(u1614,axiom,
    ( element_of_set(f7(closure(X0,X1,X2),X3),f6(X6,X7,f7(closure(X0,X1,X2),X3),X4,X5))
    | ~ subset_sets(X0,intersection_of_sets(X4,X5))
    | ~ closed(intersection_of_sets(X4,X5),X1,X2)
    | basis(closure(X0,X1,X2),X3)
    | ~ element_of_set(f7(closure(X0,X1,X2),X3),X6)
    | ~ element_of_collection(X4,X7)
    | ~ element_of_collection(X5,X7)
    | ~ basis(X6,X7)
    | ~ topological_space(closure(X0,X1,X2),X3) ) ).

cnf(u799,axiom,
    ( ~ closed(boundary(X4,X5,X6),X2,X3)
    | element_of_collection(closure(X1,X2,X3),top_of_basis(X0))
    | ~ subset_sets(X1,boundary(X4,X5,X6))
    | topological_space(X5,X6) ) ).

cnf(u213,negated_conjecture,
    ( element_of_set(X1,f14(a,cx,ct,X0))
    | ~ element_of_set(X1,sF1)
    | element_of_set(X0,sF1) ) ).

cnf(u7334,axiom,
    ( ~ closed(interior(X0,X1,subspace_topology(X2,X3,X4)),X7,X8)
    | ~ subset_sets(X6,interior(X0,X1,subspace_topology(X2,X3,X4)))
    | ~ element_of_set(X9,closure(X6,X7,X8))
    | element_of_set(X9,f10(X5,closure(X6,X7,X8),X9))
    | element_of_collection(f12(X2,X3,X4,f13(X0,X1,subspace_topology(X2,X3,X4),f11(X5,closure(X6,X7,X8)))),X3) ) ).

cnf(u7456,axiom,
    ( element_of_set(f11(X3,f10(X1,X2,X0)),f10(X1,X2,X0))
    | element_of_set(X0,union_of_members(top_of_basis(X3)))
    | ~ element_of_set(X0,X2)
    | element_of_set(f11(X1,X2),X2) ) ).

cnf(compact_set_106,axiom,
    ( ~ compact_set(X0,X1,X2)
    | topological_space(X1,X2) ) ).

cnf(u2553,axiom,
    ( ~ topological_space(closure(X3,X4,X5),X7)
    | element_of_set(f11(subspace_topology(X1,X2,X0),closure(X3,X4,X5)),X6)
    | ~ closed(X6,X4,X5)
    | ~ subset_sets(X3,X6)
    | basis(closure(X3,X4,X5),X7)
    | subset_sets(X0,X1) ) ).

cnf(u7134,axiom,
    ( ~ closed(f13(X0,X1,X2,f11(X7,closure(X5,X3,X4))),X10,X11)
    | ~ subset_sets(X5,interior(X0,X1,X2))
    | ~ element_of_set(X6,closure(X5,X3,X4))
    | element_of_set(X6,f10(X7,closure(X5,X3,X4),X6))
    | element_of_set(f11(X8,boundary(X9,X10,X11)),interior(X0,X1,X2))
    | element_of_collection(boundary(X9,X10,X11),top_of_basis(X8))
    | ~ closed(interior(X0,X1,X2),X3,X4)
    | ~ subset_sets(X9,f13(X0,X1,X2,f11(X7,closure(X5,X3,X4)))) ) ).

cnf(u4078,axiom,
    ( element_of_set(f19(f13(a,cx,ct,f19(sF0,X0)),X1),union_of_members(ct))
    | ~ topological_space(sF0,X0)
    | hausdorff(sF0,X0)
    | ~ topological_space(f13(a,cx,ct,f19(sF0,X0)),X1)
    | hausdorff(f13(a,cx,ct,f19(sF0,X0)),X1) ) ).

cnf(u7234,axiom,
    ( ~ connected_set(X0,X1,subspace_topology(X2,X3,X4))
    | topological_space(X2,X3) ) ).

cnf(u1247,negated_conjecture,
    ( closed(f14(f13(f14(X0,cx,ct,X1),X2,X3,f19(interior(f14(X0,cx,ct,X1),X2,X3),X4)),cx,ct,X5),cx,ct)
    | element_of_set(X1,a)
    | ~ subset_sets(f13(f14(X0,cx,ct,X1),X2,X3,f19(interior(f14(X0,cx,ct,X1),X2,X3),X4)),cx)
    | ~ subset_sets(X0,a)
    | ~ subset_sets(X0,cx)
    | element_of_set(X5,f14(X0,cx,ct,X1))
    | hausdorff(interior(f14(X0,cx,ct,X1),X2,X3),X4)
    | ~ topological_space(interior(f14(X0,cx,ct,X1),X2,X3),X4) ) ).

cnf(u469,axiom,
    ( ~ element_of_set(X4,f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)))
    | ~ topological_space(interior(X0,X1,X2),X3)
    | hausdorff(interior(X0,X1,X2),X3)
    | element_of_set(X4,interior(X0,X1,X2)) ) ).

cnf(u268,axiom,
    ( ~ topological_space(interior(X0,X1,X2),X3)
    | hausdorff(interior(X0,X1,X2),X3)
    | topological_space(X1,X2) ) ).

cnf(u10920,negated_conjecture,
    basis(sF0,X0) ).

cnf(u9584,negated_conjecture,
    ( open(f13(a,cx,X0,f11(subspace_topology(X2,X3,X1),interior(a,cx,X0))),cx,X0)
    | subset_sets(X1,X2)
    | element_of_set(f11(X0,a),sF0)
    | ~ topological_space(cx,X0) ) ).

cnf(u400,axiom,
    ( element_of_collection(f9(X0,X1),X1)
    | basis(X0,X1)
    | ~ topological_space(X0,X1) ) ).

cnf(u7380,axiom,
    ( element_of_set(X7,interior(f14(f13(a,cx,ct,f11(X0,sF0)),X1,X2,f11(X6,f14(closure(f13(a,cx,ct,f11(X0,sF0)),X1,X2),X3,X4,X5))),cx,ct))
    | ~ element_of_collection(closure(f13(a,cx,ct,f11(X0,sF0)),X1,X2),X6)
    | ~ subset_sets(f13(a,cx,ct,f11(X0,sF0)),X1)
    | ~ topological_space(X1,X2)
    | element_of_set(X5,closure(closure(f13(a,cx,ct,f11(X0,sF0)),X1,X2),X3,X4))
    | ~ subset_sets(closure(f13(a,cx,ct,f11(X0,sF0)),X1,X2),X3)
    | ~ topological_space(X3,X4)
    | ~ subset_sets(f14(f13(a,cx,ct,f11(X0,sF0)),X1,X2,f11(X6,f14(closure(f13(a,cx,ct,f11(X0,sF0)),X1,X2),X3,X4,X5))),cx)
    | ~ element_of_set(X7,f13(a,cx,ct,f11(X0,sF0)))
    | element_of_collection(sF0,top_of_basis(X0))
    | element_of_collection(f14(closure(f13(a,cx,ct,f11(X0,sF0)),X1,X2),X3,X4,X5),top_of_basis(X6)) ) ).

cnf(connected_space_91,axiom,
    ( separation(f21(X0,X1),f22(X0,X1),X0,X1)
    | ~ topological_space(X0,X1)
    | connected_space(X0,X1) ) ).

cnf(u10484,axiom,
    ( ~ element_of_set(X5,f13(X0,X1,X2,f7(interior(X0,X1,X2),X3)))
    | basis(interior(X0,X1,X2),X3)
    | element_of_set(X5,interior(X4,X1,X2)) ) ).

cnf(u3622,axiom,
    ( ~ subset_sets(X4,boundary(X1,X2,X3))
    | ~ closed(X4,X2,X3)
    | ~ subset_sets(X1,X4)
    | ~ element_of_collection(X4,X0)
    | element_of_collection(boundary(X1,X2,X3),top_of_basis(X0)) ) ).

cnf(u3993,negated_conjecture,
    ( element_of_set(f11(X1,f13(a,cx,ct,f7(sF0,X2))),union_of_members(top_of_basis(X0)))
    | element_of_set(f11(X0,sF0),sF0)
    | basis(sF0,X2)
    | ~ topological_space(sF0,X2)
    | element_of_collection(f13(a,cx,ct,f7(sF0,X2)),top_of_basis(X1)) ) ).

cnf(u782,axiom,
    ( open(f13(X4,X5,X6,f11(X0,closure(X1,X2,X3))),X5,X6)
    | ~ closed(interior(X4,X5,X6),X2,X3)
    | ~ subset_sets(X1,interior(X4,X5,X6))
    | element_of_collection(closure(X1,X2,X3),top_of_basis(X0)) ) ).

cnf(u11168,axiom,
    ( ~ limit_point(X0,X1,X4,X5)
    | limit_point(X0,X1,X2,X3) ) ).

cnf(u9901,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X0,X1,X2),f10(X3,f13(a,cx,ct,X4),X5)),f10(X3,f13(a,cx,ct,X4),X5))
    | topological_space(X0,X1)
    | element_of_set(f11(X3,f13(a,cx,ct,X4)),sF0)
    | ~ element_of_set(X5,f13(a,cx,ct,X4))
    | ~ element_of_set(X4,sF0) ) ).

cnf(u514,axiom,
    ( element_of_set(f7(f1(ct,X0),X1),union_of_members(ct))
    | ~ element_of_set(X0,sF0)
    | basis(f1(ct,X0),X1)
    | ~ topological_space(f1(ct,X0),X1) ) ).

cnf(u8413,negated_conjecture,
    ( ~ subset_sets(X3,f13(a,cx,X2,f11(subspace_topology(X1,X6,X0),interior(a,cx,X2))))
    | ~ topological_space(cx,X2)
    | element_of_set(f11(X2,a),a)
    | ~ element_of_collection(X3,X4)
    | ~ topological_space(a,X4)
    | ~ element_of_set(X5,X3)
    | subset_sets(X0,X1)
    | element_of_set(X5,interior(f13(a,cx,X2,f11(subspace_topology(X1,X6,X0),interior(a,cx,X2))),a,X4)) ) ).

cnf(u3913,axiom,
    ( element_of_collection(union_of_members(f24(X0,subspace_topology(X1,X2,X3))),subspace_topology(X1,X2,X3))
    | compact_space(X0,subspace_topology(X1,X2,X3))
    | ~ topological_space(X0,subspace_topology(X1,X2,X3))
    | ~ compact_set(X3,X1,X2) ) ).

cnf(u3723,axiom,
    ( ~ closed(closure(X3,X4,X5),X9,X10)
    | element_of_set(f11(subspace_topology(X0,X1,X2),closure(X3,X4,X5)),X6)
    | ~ closed(X6,X4,X5)
    | ~ subset_sets(X3,X6)
    | element_of_collection(boundary(X8,X9,X10),top_of_basis(X7))
    | topological_space(X0,X1)
    | ~ subset_sets(X8,closure(X3,X4,X5)) ) ).

cnf(u454,negated_conjecture,
    ( element_of_set(X4,interior(f14(f13(a,cx,ct,f19(sF0,X0)),X1,X2,X3),cx,ct))
    | ~ subset_sets(f14(f13(a,cx,ct,f19(sF0,X0)),X1,X2,X3),cx)
    | ~ element_of_set(X4,f13(a,cx,ct,f19(sF0,X0)))
    | hausdorff(sF0,X0)
    | ~ topological_space(sF0,X0)
    | element_of_set(X3,closure(f13(a,cx,ct,f19(sF0,X0)),X1,X2))
    | ~ subset_sets(f13(a,cx,ct,f19(sF0,X0)),X1)
    | ~ topological_space(X1,X2) ) ).

cnf(u7739,negated_conjecture,
    ( element_of_set(X2,f10(X0,f13(a,cx,top_of_basis(X0),X1),X2))
    | ~ element_of_set(X1,a)
    | ~ topological_space(cx,top_of_basis(X0))
    | ~ element_of_set(X2,f13(a,cx,top_of_basis(X0),X1))
    | element_of_set(f11(top_of_basis(X0),a),a) ) ).

cnf(u3851,axiom,
    ( element_of_collection(f12(X1,X2,X0,X0),X2)
    | ~ compact_set(X0,X1,X2) ) ).

cnf(union_of_members_1,axiom,
    ( ~ element_of_set(X0,union_of_members(X1))
    | element_of_set(X0,f1(X1,X0)) ) ).

cnf(u667,axiom,
    ( element_of_collection(f13(X1,X2,X3,f20(closure(X0,X4,X5),X6)),X3)
    | ~ closed(interior(X1,X2,X3),X4,X5)
    | ~ topological_space(closure(X0,X4,X5),X6)
    | hausdorff(closure(X0,X4,X5),X6)
    | ~ subset_sets(X0,interior(X1,X2,X3)) ) ).

cnf(u913,negated_conjecture,
    ( ~ subset_sets(f14(f13(X1,X2,X3,f11(X6,closure(X0,X4,X5))),cx,ct,X7),X2)
    | element_of_collection(closure(X0,X4,X5),top_of_basis(X6))
    | ~ subset_sets(X0,interior(X1,X2,X3))
    | ~ element_of_set(X8,f13(X1,X2,X3,f11(X6,closure(X0,X4,X5))))
    | ~ closed(interior(X1,X2,X3),X4,X5)
    | element_of_set(X8,interior(f14(f13(X1,X2,X3,f11(X6,closure(X0,X4,X5))),cx,ct,X7),X2,X3))
    | element_of_set(X7,f14(f13(X1,X2,X3,f11(X6,closure(X0,X4,X5))),cx,ct,X9))
    | ~ subset_sets(f13(X1,X2,X3,f11(X6,closure(X0,X4,X5))),a)
    | element_of_set(X9,a)
    | ~ subset_sets(f13(X1,X2,X3,f11(X6,closure(X0,X4,X5))),cx) ) ).

cnf(u7479,axiom,
    ( element_of_set(f11(X0,interior(X1,X2,X3)),f13(X1,X2,X3,f11(X0,interior(X1,X2,X3))))
    | element_of_set(X4,f10(X0,interior(X1,X2,X3),X4))
    | ~ element_of_set(X4,interior(X1,X2,X3)) ) ).

cnf(u1260,negated_conjecture,
    ( ~ subset_sets(a,f14(X0,cx,ct,X1))
    | ~ subset_sets(X0,a)
    | element_of_set(X2,a)
    | ~ subset_sets(X0,cx)
    | element_of_set(f11(X3,sF1),f14(X0,cx,ct,X1))
    | element_of_collection(sF1,top_of_basis(X3))
    | element_of_set(X1,f14(X0,cx,ct,X2)) ) ).

cnf(u1376,axiom,
    ( ~ element_of_set(X7,f16(X6,X4,X0,subspace_topology(X1,X2,X3)))
    | ~ subset_sets(X4,X0)
    | ~ topological_space(X5,X2)
    | ~ subset_sets(X3,X5)
    | limit_point(X6,X4,X0,subspace_topology(X1,X2,X3))
    | ~ topological_space(X0,subspace_topology(X1,X2,X3))
    | element_of_set(X7,union_of_members(subspace_topology(X5,X2,X3))) ) ).

cnf(u795,axiom,
    ( ~ closed(closure(X4,X5,X6),X2,X3)
    | element_of_collection(closure(X1,X2,X3),top_of_basis(X0))
    | ~ subset_sets(X1,closure(X4,X5,X6))
    | subset_sets(X4,X5) ) ).

cnf(u9932,axiom,
    ( element_of_set(f11(subspace_topology(X0,X1,X2),intersection_of_sets(f8(X3,X4),f9(X3,X4))),intersection_of_sets(f8(X3,X4),f9(X3,X4)))
    | topological_space(X0,X1)
    | ~ equal_sets(union_of_members(X4),X3)
    | basis(X3,X4) ) ).

cnf(u9454,negated_conjecture,
    ( ~ subset_sets(f10(X2,closure(X3,X4,X5),f11(X0,X1)),X1)
    | ~ element_of_set(f11(X0,X1),closure(X3,X4,X5))
    | ~ closed(a,X4,X5)
    | ~ subset_sets(X3,a)
    | element_of_collection(X1,top_of_basis(X0))
    | ~ element_of_collection(f10(X2,closure(X3,X4,X5),f11(X0,X1)),X0)
    | element_of_set(f11(X2,closure(X3,X4,X5)),sF0) ) ).

cnf(u7455,axiom,
    ( element_of_set(f11(subspace_topology(X4,X5,X3),f10(X1,X2,X0)),f10(X1,X2,X0))
    | ~ element_of_set(X0,X2)
    | subset_sets(X3,X4)
    | element_of_set(f11(X1,X2),X2) ) ).

cnf(u9170,negated_conjecture,
    ( ~ closed(f13(a,cx,X1,X0),X4,X5)
    | element_of_set(f11(X1,a),sF0)
    | ~ topological_space(cx,X1)
    | element_of_set(f11(X2,boundary(X3,X4,X5)),interior(a,cx,X1))
    | element_of_collection(boundary(X3,X4,X5),top_of_basis(X2))
    | ~ element_of_set(X0,a)
    | ~ subset_sets(X3,f13(a,cx,X1,X0)) ) ).

cnf(u1896,axiom,
    ( ~ subset_sets(a,f14(relative_complement_sets(a,cx),cx,ct,X0))
    | element_of_set(X0,boundary(a,cx,ct))
    | hausdorff(sF1,X1)
    | ~ element_of_set(X0,sF1)
    | element_of_set(f20(sF1,X1),f14(relative_complement_sets(a,cx),cx,ct,X0))
    | ~ topological_space(sF1,X1) ) ).

cnf(u7020,negated_conjecture,
    ( ~ closed(union_of_members(f24(X4,ct)),X2,X3)
    | ~ element_of_set(X5,closure(X1,X2,X3))
    | element_of_set(X5,f10(X0,closure(X1,X2,X3),X5))
    | ~ subset_sets(X1,union_of_members(f24(X4,ct)))
    | compact_space(X4,ct)
    | ~ topological_space(X4,ct)
    | element_of_set(f11(X0,closure(X1,X2,X3)),union_of_members(ct)) ) ).

cnf(u3645,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,f11(X3,boundary(X0,X1,X2))),X6,X7)
    | ~ closed(sF0,X1,X2)
    | element_of_collection(boundary(X0,X1,X2),top_of_basis(X3))
    | element_of_set(f11(X4,boundary(X5,X6,X7)),sF0)
    | element_of_collection(boundary(X5,X6,X7),top_of_basis(X4))
    | ~ subset_sets(X0,sF0)
    | ~ subset_sets(X5,f13(a,cx,ct,f11(X3,boundary(X0,X1,X2)))) ) ).

cnf(u1111,axiom,
    ( element_of_set(f20(f21(X0,X1),X2),union_of_members(X1))
    | connected_space(X0,X1)
    | ~ topological_space(X0,X1)
    | ~ topological_space(f21(X0,X1),X2)
    | hausdorff(f21(X0,X1),X2) ) ).

cnf(u7392,axiom,
    ( ~ subset_sets(f14(f13(X0,X1,X2,f11(X3,closure(X4,X5,X6))),X7,X8,f11(X12,f14(closure(f13(X0,X1,X2,f11(X3,closure(X4,X5,X6))),X7,X8),X9,X10,X11))),X1)
    | ~ element_of_collection(closure(f13(X0,X1,X2,f11(X3,closure(X4,X5,X6))),X7,X8),X12)
    | ~ subset_sets(f13(X0,X1,X2,f11(X3,closure(X4,X5,X6))),X7)
    | ~ topological_space(X7,X8)
    | element_of_set(X11,closure(closure(f13(X0,X1,X2,f11(X3,closure(X4,X5,X6))),X7,X8),X9,X10))
    | ~ subset_sets(closure(f13(X0,X1,X2,f11(X3,closure(X4,X5,X6))),X7,X8),X9)
    | ~ topological_space(X9,X10)
    | ~ closed(interior(X0,X1,X2),X5,X6)
    | ~ subset_sets(X4,interior(X0,X1,X2))
    | ~ element_of_set(X13,closure(X4,X5,X6))
    | element_of_collection(f14(closure(f13(X0,X1,X2,f11(X3,closure(X4,X5,X6))),X7,X8),X9,X10,X11),top_of_basis(X12))
    | ~ element_of_set(X14,f13(X0,X1,X2,f11(X3,closure(X4,X5,X6))))
    | element_of_set(X13,f10(X3,closure(X4,X5,X6),X13))
    | element_of_set(X14,interior(f14(f13(X0,X1,X2,f11(X3,closure(X4,X5,X6))),X7,X8,f11(X12,f14(closure(f13(X0,X1,X2,f11(X3,closure(X4,X5,X6))),X7,X8),X9,X10,X11))),X1,X2)) ) ).

cnf(u333,axiom,
    ( element_of_set(f7(intersection_of_sets(X0,f12(X1,X2,X0,union_of_members(X3))),X3),intersection_of_sets(X0,f12(X1,X2,X0,union_of_members(X3))))
    | basis(intersection_of_sets(X0,f12(X1,X2,X0,union_of_members(X3))),X3)
    | ~ element_of_collection(union_of_members(X3),subspace_topology(X1,X2,X0)) ) ).

cnf(u6948,axiom,
    ( element_of_set(f11(subspace_topology(X8,X9,X7),f13(X1,X2,X3,f7(closure(X0,X4,X5),X6))),f13(X1,X2,X3,f7(closure(X0,X4,X5),X6)))
    | ~ closed(interior(X1,X2,X3),X4,X5)
    | basis(closure(X0,X4,X5),X6)
    | ~ topological_space(closure(X0,X4,X5),X6)
    | subset_sets(X7,X8)
    | ~ subset_sets(X0,interior(X1,X2,X3)) ) ).

cnf(u1245,negated_conjecture,
    ( closed(f14(f13(f14(X0,cx,ct,X1),X2,X3,f11(X4,closure(X5,X6,X7))),cx,ct,X8),cx,ct)
    | element_of_set(X1,a)
    | ~ subset_sets(f13(f14(X0,cx,ct,X1),X2,X3,f11(X4,closure(X5,X6,X7))),cx)
    | ~ subset_sets(X0,a)
    | ~ subset_sets(X0,cx)
    | element_of_set(X8,f14(X0,cx,ct,X1))
    | ~ closed(interior(f14(X0,cx,ct,X1),X2,X3),X6,X7)
    | ~ subset_sets(X5,interior(f14(X0,cx,ct,X1),X2,X3))
    | element_of_collection(closure(X5,X6,X7),top_of_basis(X4)) ) ).

cnf(u6603,negated_conjecture,
    ( open(f13(a,sF0,ct,f20(closure(X0,X1,X2),X3)),sF0,ct)
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ subset_sets(X0,sF0)
    | ~ closed(sF0,X1,X2)
    | ~ topological_space(closure(X0,X1,X2),X3) ) ).

cnf(u10149,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X0,X1,X2),interior(a,cx,X3)),interior(a,cx,X3))
    | ~ topological_space(cx,X3)
    | topological_space(X0,X1) ) ).

cnf(u1030,axiom,
    ( ~ element_of_set(X7,f13(X0,X1,X2,f19(closure(X5,X3,X4),X6)))
    | ~ topological_space(closure(X5,X3,X4),X6)
    | hausdorff(closure(X5,X3,X4),X6)
    | ~ closed(interior(X0,X1,X2),X3,X4)
    | ~ subset_sets(X5,interior(X0,X1,X2))
    | element_of_set(X7,interior(X0,X1,X2)) ) ).

cnf(u3736,axiom,
    ( element_of_set(f11(subspace_topology(X0,X1,X2),closure(X3,X4,X5)),X6)
    | closed(f14(X3,X4,X5,X7),X4,X5)
    | ~ closed(X6,X4,X5)
    | ~ subset_sets(X3,X6)
    | topological_space(X0,X1)
    | ~ subset_sets(X3,X4) ) ).

cnf(u7008,axiom,
    ( element_of_set(X0,f10(X3,f13(X1,X2,top_of_basis(X3),f20(closure(X4,X5,X6),X7)),X0))
    | ~ element_of_set(X0,f13(X1,X2,top_of_basis(X3),f20(closure(X4,X5,X6),X7)))
    | ~ closed(interior(X1,X2,top_of_basis(X3)),X5,X6)
    | ~ topological_space(closure(X4,X5,X6),X7)
    | hausdorff(closure(X4,X5,X6),X7)
    | ~ subset_sets(X4,interior(X1,X2,top_of_basis(X3))) ) ).

cnf(u1477,axiom,
    ( element_of_set(f20(intersection_of_sets(X0,X1),X2),f6(X3,X4,f20(intersection_of_sets(X0,X1),X2),X0,X1))
    | ~ element_of_collection(X0,X4)
    | ~ element_of_collection(X1,X4)
    | ~ basis(X3,X4)
    | ~ element_of_set(f20(intersection_of_sets(X0,X1),X2),X3)
    | ~ topological_space(intersection_of_sets(X0,X1),X2)
    | hausdorff(intersection_of_sets(X0,X1),X2) ) ).

cnf(compact_space_103,axiom,
    ( open_covering(f23(X0,X1,X2),X0,X1)
    | ~ open_covering(X2,X0,X1)
    | ~ compact_space(X0,X1) ) ).

cnf(u3069,axiom,
    ( ~ subset_sets(f13(X0,X1,X2,f11(X3,sF1)),sF1)
    | ~ subset_sets(a,interior(X0,X1,X2))
    | element_of_collection(sF1,top_of_basis(X3))
    | ~ element_of_collection(f13(X0,X1,X2,f11(X3,sF1)),X3)
    | ~ closed(interior(X0,X1,X2),cx,ct) ) ).

cnf(u1373,axiom,
    ( element_of_collection(f12(X5,X2,X3,f16(X6,X4,X0,subspace_topology(X1,X2,X3))),X2)
    | ~ subset_sets(X4,X0)
    | ~ topological_space(X5,X2)
    | ~ subset_sets(X3,X5)
    | limit_point(X6,X4,X0,subspace_topology(X1,X2,X3))
    | ~ topological_space(X0,subspace_topology(X1,X2,X3)) ) ).

cnf(u8272,negated_conjecture,
    ( element_of_collection(f1(subspace_topology(X0,X1,cx),X2),subspace_topology(X0,X1,cx))
    | element_of_set(f11(subspace_topology(X0,X1,cx),a),a)
    | ~ element_of_set(X2,a)
    | ~ connected_set(cx,X0,X1) ) ).

cnf(u1570,axiom,
    ( limit_point(X3,X2,X0,X1)
    | element_of_set(X3,union_of_members(X1))
    | ~ subset_sets(X2,X0)
    | ~ topological_space(X0,X1) ) ).

cnf(u7236,axiom,
    ( ~ connected_set(X0,X1,X2)
    | ~ topological_space(X3,X2)
    | ~ subset_sets(X0,X3)
    | element_of_collection(X0,subspace_topology(X3,X2,X0)) ) ).

cnf(u11455,axiom,
    ( element_of_set(f7(X0,X1),interior(X2,X3,X4))
    | basis(X0,X1) ) ).

cnf(u1224,axiom,
    ( hausdorff(interior(X0,X1,X2),subspace_topology(X3,X4,interior(X0,X1,X2)))
    | ~ connected_set(interior(X0,X1,X2),X3,X4)
    | subset_sets(X0,X1) ) ).

cnf(u966,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,f20(closure(X4,X5,X6),X7)),X1,X2)
    | ~ subset_sets(X0,f13(a,cx,ct,f20(closure(X4,X5,X6),X7)))
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | ~ closed(sF0,X5,X6)
    | ~ subset_sets(X4,sF0)
    | ~ topological_space(closure(X4,X5,X6),X7)
    | hausdorff(closure(X4,X5,X6),X7)
    | element_of_set(f19(closure(X0,X1,X2),X3),sF0) ) ).

cnf(u8269,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X0,X1,cx),a),a)
    | element_of_set(X2,f1(subspace_topology(X0,X1,cx),X2))
    | ~ element_of_set(X2,a)
    | ~ connected_set(cx,X0,X1) ) ).

cnf(u7365,axiom,
    ( element_of_set(f11(X2,f9(X0,X1)),union_of_members(X1))
    | basis(X0,X1)
    | ~ topological_space(X0,X1)
    | element_of_collection(f9(X0,X1),top_of_basis(X2)) ) ).

cnf(u1687,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,f7(closure(X2,X0,X1),X3)),X5,X6)
    | ~ subset_sets(X2,sF0)
    | basis(closure(X2,X0,X1),X3)
    | ~ topological_space(closure(X2,X0,X1),X3)
    | element_of_set(f19(closure(X4,X5,X6),X7),sF0)
    | hausdorff(closure(X4,X5,X6),X7)
    | ~ subset_sets(X4,f13(a,cx,ct,f7(closure(X2,X0,X1),X3)))
    | ~ closed(sF0,X0,X1)
    | ~ topological_space(closure(X4,X5,X6),X7) ) ).

cnf(u3981,axiom,
    ( element_of_set(f11(X0,closure(X1,X2,X3)),closure(X1,X2,X3))
    | element_of_set(f11(X4,boundary(X1,X2,X3)),union_of_members(top_of_basis(X0)))
    | element_of_collection(boundary(X1,X2,X3),top_of_basis(X4)) ) ).

cnf(u7505,axiom,
    ( element_of_set(f11(X0,f13(X1,X2,X3,f11(X4,boundary(X5,X6,X7)))),interior(X1,X2,X3))
    | element_of_set(X8,f10(X0,f13(X1,X2,X3,f11(X4,boundary(X5,X6,X7))),X8))
    | element_of_collection(boundary(X5,X6,X7),top_of_basis(X4))
    | ~ subset_sets(X5,interior(X1,X2,X3))
    | ~ closed(interior(X1,X2,X3),X6,X7)
    | ~ element_of_set(X8,f13(X1,X2,X3,f11(X4,boundary(X5,X6,X7)))) ) ).

cnf(separation_84,axiom,
    ( ~ separation(X0,X1,X2,X3)
    | element_of_collection(X0,X3) ) ).

cnf(u9701,axiom,
    ( element_of_set(f11(X2,f10(X1,sF0,X0)),f10(X1,sF0,X0))
    | subset_sets(f13(a,cx,ct,f11(X1,sF0)),a)
    | element_of_set(X0,union_of_members(top_of_basis(X2)))
    | ~ element_of_set(X0,sF0) ) ).

cnf(u216,negated_conjecture,
    ( element_of_collection(intersection_of_sets(X0,X1),ct)
    | ~ element_of_collection(X1,ct)
    | ~ element_of_collection(X0,ct) ) ).

cnf(u7493,axiom,
    ( element_of_set(f11(X0,f13(a,cx,ct,f19(sF0,X1))),union_of_members(ct))
    | element_of_set(X2,f10(X0,f13(a,cx,ct,f19(sF0,X1)),X2))
    | hausdorff(sF0,X1)
    | ~ topological_space(sF0,X1)
    | ~ element_of_set(X2,f13(a,cx,ct,f19(sF0,X1))) ) ).

cnf(u531,axiom,
    ( closed(f14(relative_complement_sets(X0,X1),X1,X2,f19(closure(X0,X1,X2),X3)),X1,X2)
    | element_of_set(f19(closure(X0,X1,X2),X3),boundary(X0,X1,X2))
    | ~ subset_sets(relative_complement_sets(X0,X1),X1)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | hausdorff(closure(X0,X1,X2),X3) ) ).

cnf(u9907,axiom,
    ( element_of_set(f11(subspace_topology(X0,X1,X2),f10(X3,closure(X4,X5,X6),X7)),f10(X3,closure(X4,X5,X6),X7))
    | element_of_set(f11(X3,closure(X4,X5,X6)),X8)
    | topological_space(X0,X1)
    | ~ element_of_set(X7,closure(X4,X5,X6))
    | ~ closed(X8,X5,X6)
    | ~ subset_sets(X4,X8) ) ).

cnf(u777,axiom,
    ( ~ closed(intersection_of_members(X4),X2,X3)
    | element_of_collection(closure(X1,X2,X3),top_of_basis(X0))
    | ~ subset_sets(X1,intersection_of_members(X4))
    | ~ element_of_collection(X5,X4)
    | element_of_set(f11(X0,closure(X1,X2,X3)),X5) ) ).

cnf(u925,negated_conjecture,
    ( subset_sets(f13(f14(X0,cx,ct,X1),X2,X3,f11(X4,interior(f14(X0,cx,ct,X1),X2,X3))),f14(f13(f14(X0,cx,ct,X1),X2,X3,f11(X4,interior(f14(X0,cx,ct,X1),X2,X3))),cx,ct,X5))
    | ~ subset_sets(X0,cx)
    | element_of_set(X1,a)
    | ~ subset_sets(f13(f14(X0,cx,ct,X1),X2,X3,f11(X4,interior(f14(X0,cx,ct,X1),X2,X3))),cx)
    | ~ subset_sets(X0,a)
    | element_of_collection(interior(f14(X0,cx,ct,X1),X2,X3),top_of_basis(X4))
    | element_of_set(X5,f14(X0,cx,ct,X1)) ) ).

cnf(u1122,axiom,
    ( element_of_set(X0,intersection_of_members(subspace_topology(X1,X2,X3)))
    | topological_space(X1,X2) ) ).

cnf(u9614,negated_conjecture,
    ( ~ closed(f13(a,cx,X0,f11(subspace_topology(X2,X7,X1),interior(a,cx,X0))),X4,X5)
    | ~ topological_space(cx,X0)
    | subset_sets(X1,X2)
    | element_of_set(f7(closure(X3,X4,X5),X6),interior(a,cx,X0))
    | ~ topological_space(closure(X3,X4,X5),X6)
    | ~ subset_sets(X3,f13(a,cx,X0,f11(subspace_topology(X2,X7,X1),interior(a,cx,X0))))
    | element_of_set(f11(X0,a),sF0)
    | basis(closure(X3,X4,X5),X6) ) ).

cnf(u16611,axiom,
    ( ~ equal_sets(f21(X0,X1),empty_set)
    | connected_space(X0,X1) ) ).

cnf(u9036,negated_conjecture,
    ( element_of_set(f11(X0,a),sF0)
    | element_of_collection(a,top_of_basis(X0)) ) ).

cnf(u7477,axiom,
    ( element_of_set(f11(X0,f9(X1,X2)),union_of_members(X2))
    | element_of_set(X3,f10(X0,f9(X1,X2),X3))
    | ~ topological_space(X1,X2)
    | basis(X1,X2)
    | ~ element_of_set(X3,f9(X1,X2)) ) ).

cnf(u1465,axiom,
    ( ~ closed(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X5,X6)
    | element_of_set(f20(closure(X4,X5,X6),X7),interior(X0,X1,X2))
    | hausdorff(closure(X4,X5,X6),X7)
    | ~ subset_sets(X4,f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))))
    | element_of_collection(interior(X0,X1,X2),top_of_basis(X3))
    | ~ topological_space(closure(X4,X5,X6),X7) ) ).

cnf(u3856,axiom,
    ( closed(X0,X1,subspace_topology(X2,X3,relative_complement_sets(X0,X1)))
    | ~ compact_set(relative_complement_sets(X0,X1),X2,X3)
    | ~ topological_space(X1,subspace_topology(X2,X3,relative_complement_sets(X0,X1))) ) ).

cnf(u201,axiom,
    ( element_of_collection(relative_complement_sets(X0,X1),X2)
    | ~ closed(X0,X1,X2) ) ).

cnf(u6838,negated_conjecture,
    ( element_of_set(X10,interior(f14(f13(X2,X3,X4,f11(X5,boundary(X6,X7,X8))),X0,X1,X9),X3,X4))
    | ~ subset_sets(f13(X2,X3,X4,f11(X5,boundary(X6,X7,X8))),sF1)
    | ~ subset_sets(f13(X2,X3,X4,f11(X5,boundary(X6,X7,X8))),X0)
    | ~ subset_sets(X6,interior(X2,X3,X4))
    | element_of_collection(boundary(X6,X7,X8),top_of_basis(X5))
    | ~ subset_sets(f14(f13(X2,X3,X4,f11(X5,boundary(X6,X7,X8))),X0,X1,X9),X3)
    | ~ element_of_set(X10,f13(X2,X3,X4,f11(X5,boundary(X6,X7,X8))))
    | ~ closed(interior(X2,X3,X4),X7,X8)
    | ~ closed(sF1,X0,X1) ) ).

cnf(u4123,axiom,
    ( element_of_set(f11(subspace_topology(X1,X2,X0),f13(X3,X4,X5,f11(X6,boundary(X7,X8,X9)))),f13(X3,X4,X5,f11(X6,boundary(X7,X8,X9))))
    | subset_sets(X0,X1)
    | ~ closed(interior(X3,X4,X5),X8,X9)
    | ~ subset_sets(X7,interior(X3,X4,X5))
    | element_of_collection(boundary(X7,X8,X9),top_of_basis(X6)) ) ).

cnf(u9105,negated_conjecture,
    ( ~ element_of_set(X2,f13(a,cx,X0,X1))
    | ~ element_of_set(X1,a)
    | element_of_set(f11(X0,a),sF0)
    | ~ topological_space(cx,X0)
    | element_of_set(X2,interior(a,cx,X0)) ) ).

cnf(u660,axiom,
    ( ~ closed(X1,cx,ct)
    | hausdorff(sF1,X0)
    | ~ subset_sets(a,X1)
    | element_of_set(f20(sF1,X0),X1)
    | ~ topological_space(sF1,X0) ) ).

cnf(u3695,axiom,
    ( ~ element_of_set(X0,closure(X1,X2,X3))
    | topological_space(X4,X5)
    | element_of_set(f11(subspace_topology(X4,X5,X6),closure(X1,X2,X3)),X7)
    | ~ closed(X7,X2,X3)
    | ~ subset_sets(X1,X7) ) ).

cnf(u10635,negated_conjecture,
    basis(cx,X0) ).

cnf(u3583,axiom,
    ( element_of_set(f11(X0,boundary(X1,X2,X3)),f13(X4,X5,X6,f11(X0,boundary(X1,X2,X3))))
    | ~ closed(interior(X4,X5,X6),X2,X3)
    | ~ subset_sets(X1,interior(X4,X5,X6))
    | element_of_collection(boundary(X1,X2,X3),top_of_basis(X0)) ) ).

cnf(u8182,negated_conjecture,
    ( element_of_set(X0,f1(top_of_basis(ct),X0))
    | ~ element_of_set(X0,a) ) ).

cnf(u329,negated_conjecture,
    ( element_of_set(f20(intersection_of_sets(X0,X1),X2),union_of_members(ct))
    | ~ element_of_collection(X1,ct)
    | ~ element_of_collection(X0,ct)
    | ~ topological_space(intersection_of_sets(X0,X1),X2)
    | hausdorff(intersection_of_sets(X0,X1),X2) ) ).

cnf(u995,negated_conjecture,
    ( subset_sets(f13(f14(X1,cx,ct,X2),X3,X4,f19(closure(X0,X5,X6),X7)),f14(f13(f14(X1,cx,ct,X2),X3,X4,f19(closure(X0,X5,X6),X7)),cx,ct,X8))
    | ~ closed(interior(f14(X1,cx,ct,X2),X3,X4),X5,X6)
    | ~ topological_space(closure(X0,X5,X6),X7)
    | hausdorff(closure(X0,X5,X6),X7)
    | ~ subset_sets(X1,cx)
    | element_of_set(X2,a)
    | ~ subset_sets(f13(f14(X1,cx,ct,X2),X3,X4,f19(closure(X0,X5,X6),X7)),cx)
    | ~ subset_sets(X1,a)
    | ~ subset_sets(X0,interior(f14(X1,cx,ct,X2),X3,X4))
    | element_of_set(X8,f14(X1,cx,ct,X2)) ) ).

cnf(u3514,axiom,
    ( ~ element_of_collection(f13(union_of_members(ct),X2,X3,f20(closure(X4,X5,X6),X7)),X0)
    | ~ element_of_set(X1,f13(union_of_members(ct),X2,X3,f20(closure(X4,X5,X6),X7)))
    | ~ topological_space(sF0,X0)
    | element_of_set(X1,interior(union_of_members(ct),sF0,X0))
    | ~ subset_sets(X4,interior(union_of_members(ct),X2,X3))
    | ~ closed(interior(union_of_members(ct),X2,X3),X5,X6)
    | ~ topological_space(closure(X4,X5,X6),X7)
    | hausdorff(closure(X4,X5,X6),X7) ) ).

cnf(u9954,axiom,
    ( element_of_set(f11(subspace_topology(X0,X1,X2),f13(a,cx,ct,f11(X3,sF0))),f13(a,cx,ct,f11(X3,sF0)))
    | topological_space(X0,X1)
    | element_of_collection(sF0,top_of_basis(X3)) ) ).

cnf(u9899,axiom,
    ( element_of_set(f11(subspace_topology(X0,X1,X2),f10(X3,interior(X4,X5,X6),X7)),f10(X3,interior(X4,X5,X6),X7))
    | open(f13(X4,X5,X6,f11(X3,interior(X4,X5,X6))),X5,X6)
    | topological_space(X0,X1)
    | ~ element_of_set(X7,interior(X4,X5,X6)) ) ).

cnf(u276,axiom,
    ( element_of_set(f20(boundary(X0,X1,X2),X3),closure(X0,X1,X2))
    | hausdorff(boundary(X0,X1,X2),X3)
    | ~ topological_space(boundary(X0,X1,X2),X3) ) ).

cnf(u1700,axiom,
    ( element_of_set(X10,interior(f14(f13(X0,X1,X2,f7(closure(X5,X3,X4),X6)),X7,X8,X9),X1,X2))
    | basis(closure(X5,X3,X4),X6)
    | ~ topological_space(closure(X5,X3,X4),X6)
    | ~ subset_sets(f14(f13(X0,X1,X2,f7(closure(X5,X3,X4),X6)),X7,X8,X9),X1)
    | ~ element_of_set(X10,f13(X0,X1,X2,f7(closure(X5,X3,X4),X6)))
    | ~ subset_sets(X5,interior(X0,X1,X2))
    | ~ closed(interior(X0,X1,X2),X3,X4)
    | element_of_set(X9,closure(f13(X0,X1,X2,f7(closure(X5,X3,X4),X6)),X7,X8))
    | ~ subset_sets(f13(X0,X1,X2,f7(closure(X5,X3,X4),X6)),X7)
    | ~ topological_space(X7,X8) ) ).

cnf(u7029,axiom,
    ( element_of_collection(f6(X7,X8,f11(X0,closure(X1,X2,X3)),X4,X5),X8)
    | element_of_set(X6,f10(X0,closure(X1,X2,X3),X6))
    | ~ closed(intersection_of_sets(X4,X5),X2,X3)
    | ~ subset_sets(X1,intersection_of_sets(X4,X5))
    | ~ element_of_set(f11(X0,closure(X1,X2,X3)),X7)
    | ~ element_of_collection(X4,X8)
    | ~ element_of_collection(X5,X8)
    | ~ basis(X7,X8)
    | ~ element_of_set(X6,closure(X1,X2,X3)) ) ).

cnf(open_covering_99,axiom,
    ( ~ equal_sets(union_of_members(X0),X1)
    | ~ topological_space(X1,X2)
    | ~ subset_collections(X0,X2)
    | open_covering(X0,X1,X2) ) ).

cnf(u1370,negated_conjecture,
    ( ~ subset_sets(sF0,f13(a,cx,ct,f7(sF0,X0)))
    | basis(sF0,X0)
    | ~ element_of_collection(sF0,X1)
    | ~ topological_space(sF0,X0)
    | ~ topological_space(cx,top_of_basis(X1))
    | ~ element_of_set(X2,f13(a,cx,ct,f7(sF0,X0)))
    | element_of_set(X2,interior(a,cx,top_of_basis(X1))) ) ).

cnf(u3876,axiom,
    ( element_of_collection(f14(closure(X0,X1,subspace_topology(X2,X3,X4)),X5,X6,X7),top_of_basis(X8))
    | element_of_set(X7,closure(closure(X0,X1,subspace_topology(X2,X3,X4)),X5,X6))
    | ~ subset_sets(X0,X1)
    | ~ topological_space(X1,subspace_topology(X2,X3,X4))
    | ~ element_of_collection(closure(X0,X1,subspace_topology(X2,X3,X4)),X8)
    | ~ subset_sets(closure(X0,X1,subspace_topology(X2,X3,X4)),X5)
    | ~ topological_space(X5,X6)
    | topological_space(X2,X3) ) ).

cnf(u3808,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X0,X1,X2),sF1),f14(a,cx,ct,X3))
    | topological_space(X0,X1)
    | element_of_set(X3,sF1) ) ).

cnf(u6843,negated_conjecture,
    ( ~ element_of_set(f11(X3,f14(f14(a,cx,ct,X2),X0,X1,X4)),sF1)
    | ~ subset_sets(f14(a,cx,ct,X2),sF1)
    | ~ subset_sets(f14(a,cx,ct,X2),X0)
    | ~ element_of_collection(f14(a,cx,ct,X2),X3)
    | element_of_collection(f14(f14(a,cx,ct,X2),X0,X1,X4),top_of_basis(X3))
    | ~ closed(sF1,X0,X1)
    | element_of_set(X2,sF1) ) ).

cnf(u1316,axiom,
    ( limit_point(X0,X1,X2,subspace_topology(X3,subspace_topology(X4,X5,X6),X7))
    | ~ topological_space(X2,subspace_topology(X3,subspace_topology(X4,X5,X6),X7))
    | ~ subset_sets(X1,X2)
    | subset_sets(X6,X4) ) ).

cnf(u7089,axiom,
    ( ~ subset_sets(X4,closure(X1,X2,X3))
    | ~ element_of_set(X5,closure(X1,X2,X3))
    | ~ closed(X4,X2,X3)
    | ~ subset_sets(X1,X4)
    | ~ element_of_collection(X4,X0)
    | element_of_set(X5,f10(X0,closure(X1,X2,X3),X5)) ) ).

cnf(u1230,axiom,
    ( element_of_collection(f12(X1,X2,X0,X0),X2)
    | ~ connected_set(X0,X1,X2) ) ).

cnf(u344,negated_conjecture,
    ( element_of_set(f7(f13(a,cx,ct,X0),X1),sF0)
    | ~ topological_space(f13(a,cx,ct,X0),X1)
    | basis(f13(a,cx,ct,X0),X1)
    | ~ element_of_set(X0,sF0) ) ).

cnf(u8060,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,f11(X5,sF0)),X1,X2)
    | ~ element_of_set(X4,sF0)
    | element_of_set(X4,f10(X5,sF0,X4))
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ subset_sets(X0,f13(a,cx,ct,f11(X5,sF0)))
    | element_of_set(f20(closure(X0,X1,X2),X3),sF0)
    | ~ topological_space(closure(X0,X1,X2),X3) ) ).

cnf(u1439,negated_conjecture,
    ( ~ subset_sets(f14(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),cx,ct,X4),X1)
    | ~ element_of_set(X5,f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))))
    | element_of_collection(interior(X0,X1,X2),top_of_basis(X3))
    | element_of_set(X5,interior(f14(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),cx,ct,X4),X1,X2))
    | element_of_set(X4,f14(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),cx,ct,X6))
    | ~ subset_sets(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),a)
    | element_of_set(X6,a)
    | ~ subset_sets(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),cx) ) ).

cnf(u661,axiom,
    ( ~ element_of_set(f20(closure(X0,X1,X2),X3),closure(X4,X5,X6))
    | ~ subset_sets(X0,closure(relative_complement_sets(X4,X5),X5,X6))
    | ~ closed(closure(relative_complement_sets(X4,X5),X5,X6),X1,X2)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | hausdorff(closure(X0,X1,X2),X3)
    | element_of_set(f20(closure(X0,X1,X2),X3),boundary(X4,X5,X6)) ) ).

cnf(u10226,negated_conjecture,
    ( element_of_set(X0,boundary(a,cx,ct))
    | ~ element_of_set(X0,sF1) ) ).

cnf(u574,negated_conjecture,
    ( ~ element_of_set(f11(X1,X0),cx)
    | ~ element_of_collection(union_of_members(ct),X1)
    | ~ subset_sets(union_of_members(ct),X0)
    | element_of_collection(X0,top_of_basis(X1)) ) ).

cnf(hausdorff_80,axiom,
    ( ~ neighborhood(X3,f20(X0,X1),X0,X1)
    | ~ topological_space(X0,X1)
    | ~ neighborhood(X2,f19(X0,X1),X0,X1)
    | hausdorff(X0,X1)
    | ~ disjoint_s(X2,X3) ) ).

cnf(u9937,axiom,
    ( element_of_set(f11(subspace_topology(X0,X1,X2),f13(X3,X4,X5,f7(interior(X3,X4,X5),X6))),f13(X3,X4,X5,f7(interior(X3,X4,X5),X6)))
    | topological_space(X0,X1)
    | ~ topological_space(interior(X3,X4,X5),X6)
    | basis(interior(X3,X4,X5),X6) ) ).

cnf(u228,axiom,
    ( element_of_collection(f21(X0,X1),X1)
    | connected_space(X0,X1)
    | ~ topological_space(X0,X1) ) ).

cnf(u3652,axiom,
    ( element_of_collection(f13(X0,X1,X2,f11(X6,boundary(X5,X3,X4))),X2)
    | ~ subset_sets(X5,interior(X0,X1,X2))
    | element_of_collection(boundary(X5,X3,X4),top_of_basis(X6))
    | ~ closed(interior(X0,X1,X2),X3,X4) ) ).

cnf(u543,axiom,
    ( ~ element_of_set(X1,f13(a,cx,ct,f19(sF0,X0)))
    | hausdorff(sF0,X0)
    | ~ topological_space(sF0,X0)
    | element_of_set(X1,union_of_members(ct)) ) ).

cnf(u8363,negated_conjecture,
    ( ~ subset_sets(f14(f13(X1,X2,X3,f11(X4,interior(X1,X2,X3))),X5,X6,X7),X2)
    | ~ element_of_set(X0,interior(X1,X2,X3))
    | ~ element_of_set(X8,f13(X1,X2,X3,f11(X4,interior(X1,X2,X3))))
    | element_of_set(X0,f10(X4,interior(X1,X2,X3),X0))
    | element_of_set(X8,interior(f14(f13(X1,X2,X3,f11(X4,interior(X1,X2,X3))),X5,X6,X7),X2,X3))
    | ~ closed(sF1,X5,X6)
    | ~ subset_sets(f13(X1,X2,X3,f11(X4,interior(X1,X2,X3))),sF1)
    | ~ subset_sets(f13(X1,X2,X3,f11(X4,interior(X1,X2,X3))),X5) ) ).

cnf(u3023,axiom,
    ( element_of_set(f19(f13(X4,X5,X6,f19(closure(X0,X1,X2),X3)),X7),interior(X4,X5,X6))
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ closed(interior(X4,X5,X6),X1,X2)
    | ~ subset_sets(X0,interior(X4,X5,X6))
    | ~ topological_space(closure(X0,X1,X2),X3)
    | ~ topological_space(f13(X4,X5,X6,f19(closure(X0,X1,X2),X3)),X7)
    | hausdorff(f13(X4,X5,X6,f19(closure(X0,X1,X2),X3)),X7) ) ).

cnf(u431,axiom,
    ( ~ element_of_set(f7(X1,X0),f13(intersection_of_sets(f8(X1,X0),f9(X1,X0)),X2,X3,f20(interior(intersection_of_sets(f8(X1,X0),f9(X1,X0)),X2,X3),X4)))
    | ~ equal_sets(union_of_members(X0),X1)
    | ~ element_of_collection(f13(intersection_of_sets(f8(X1,X0),f9(X1,X0)),X2,X3,f20(interior(intersection_of_sets(f8(X1,X0),f9(X1,X0)),X2,X3),X4)),X0)
    | basis(X1,X0)
    | hausdorff(interior(intersection_of_sets(f8(X1,X0),f9(X1,X0)),X2,X3),X4)
    | ~ topological_space(interior(intersection_of_sets(f8(X1,X0),f9(X1,X0)),X2,X3),X4) ) ).

cnf(u1701,negated_conjecture,
    ( ~ subset_sets(f14(f13(X0,X1,X2,f7(closure(X5,X3,X4),X6)),cx,ct,X7),X1)
    | basis(closure(X5,X3,X4),X6)
    | ~ topological_space(closure(X5,X3,X4),X6)
    | ~ closed(interior(X0,X1,X2),X3,X4)
    | ~ element_of_set(X8,f13(X0,X1,X2,f7(closure(X5,X3,X4),X6)))
    | ~ subset_sets(X5,interior(X0,X1,X2))
    | element_of_set(X8,interior(f14(f13(X0,X1,X2,f7(closure(X5,X3,X4),X6)),cx,ct,X7),X1,X2))
    | element_of_set(X7,f14(f13(X0,X1,X2,f7(closure(X5,X3,X4),X6)),cx,ct,X9))
    | ~ subset_sets(f13(X0,X1,X2,f7(closure(X5,X3,X4),X6)),a)
    | element_of_set(X9,a)
    | ~ subset_sets(f13(X0,X1,X2,f7(closure(X5,X3,X4),X6)),cx) ) ).

cnf(u3708,axiom,
    ( ~ closed(X1,X2,top_of_basis(subspace_topology(X3,X4,X5)))
    | topological_space(X3,X4)
    | ~ element_of_set(X0,relative_complement_sets(X1,X2)) ) ).

cnf(u3978,axiom,
    ( element_of_set(f11(X0,f13(X1,X2,X3,f11(X4,closure(X5,X6,X7)))),f13(X1,X2,X3,f11(X4,closure(X5,X6,X7))))
    | element_of_set(f11(X4,closure(X5,X6,X7)),union_of_members(top_of_basis(X0)))
    | ~ closed(interior(X1,X2,X3),X6,X7)
    | ~ subset_sets(X5,interior(X1,X2,X3))
    | element_of_collection(closure(X5,X6,X7),top_of_basis(X4)) ) ).

cnf(u7093,axiom,
    ( ~ closed(f13(closure(X1,X2,X3),X4,X5,f11(X6,closure(X7,X8,X9))),X2,X3)
    | ~ element_of_set(X0,closure(X1,X2,X3))
    | ~ subset_sets(X1,f13(closure(X1,X2,X3),X4,X5,f11(X6,closure(X7,X8,X9))))
    | ~ element_of_collection(f13(closure(X1,X2,X3),X4,X5,f11(X6,closure(X7,X8,X9))),X10)
    | element_of_set(X0,f10(X10,closure(X1,X2,X3),X0))
    | ~ closed(interior(closure(X1,X2,X3),X4,X5),X8,X9)
    | ~ subset_sets(X7,interior(closure(X1,X2,X3),X4,X5))
    | element_of_collection(closure(X7,X8,X9),top_of_basis(X6)) ) ).

cnf(u1547,axiom,
    ( element_of_set(f20(boundary(X0,X1,X2),X3),union_of_members(top_of_basis(X5)))
    | element_of_set(f11(X5,closure(X0,X1,X2)),X4)
    | ~ closed(X4,X1,X2)
    | ~ subset_sets(X0,X4)
    | ~ topological_space(boundary(X0,X1,X2),X3)
    | hausdorff(boundary(X0,X1,X2),X3) ) ).

cnf(u9305,negated_conjecture,
    ( element_of_set(X8,interior(f14(f13(a,cx,X1,X0),X2,X3,f11(X4,f14(closure(f13(a,cx,X1,X0),X2,X3),X5,X6,X7))),cx,X1))
    | element_of_set(f11(X1,a),sF0)
    | ~ subset_sets(f14(f13(a,cx,X1,X0),X2,X3,f11(X4,f14(closure(f13(a,cx,X1,X0),X2,X3),X5,X6,X7))),cx)
    | ~ element_of_set(X8,f13(a,cx,X1,X0))
    | ~ topological_space(cx,X1)
    | ~ element_of_set(X0,a)
    | element_of_collection(f14(closure(f13(a,cx,X1,X0),X2,X3),X5,X6,X7),top_of_basis(X4))
    | ~ element_of_collection(closure(f13(a,cx,X1,X0),X2,X3),X4)
    | ~ subset_sets(f13(a,cx,X1,X0),X2)
    | ~ topological_space(X2,X3)
    | element_of_set(X7,closure(closure(f13(a,cx,X1,X0),X2,X3),X5,X6))
    | ~ subset_sets(closure(f13(a,cx,X1,X0),X2,X3),X5)
    | ~ topological_space(X5,X6) ) ).

cnf(u510,axiom,
    ( element_of_set(f20(f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),X4),interior(X0,X1,X2))
    | hausdorff(interior(X0,X1,X2),X3)
    | ~ topological_space(interior(X0,X1,X2),X3)
    | ~ topological_space(f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),X4)
    | hausdorff(f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),X4) ) ).

cnf(u9698,negated_conjecture,
    ( ~ element_of_collection(f13(a,cx,ct,f11(X0,sF0)),X2)
    | ~ element_of_set(X1,sF0)
    | ~ topological_space(cx,X2)
    | ~ element_of_set(X3,f13(a,cx,ct,f11(X0,sF0)))
    | element_of_set(X1,f10(X0,sF0,X1))
    | element_of_set(X3,interior(a,cx,X2)) ) ).

cnf(u9312,negated_conjecture,
    ( ~ subset_sets(f14(f13(a,cx,X1,X0),cx,ct,X2),cx)
    | element_of_set(f11(X1,a),sF0)
    | ~ element_of_set(X0,a)
    | ~ element_of_set(X3,f13(a,cx,X1,X0))
    | ~ topological_space(cx,X1)
    | element_of_set(X3,interior(f14(f13(a,cx,X1,X0),cx,ct,X2),cx,X1))
    | element_of_set(X2,f14(f13(a,cx,X1,X0),cx,ct,X4))
    | element_of_set(X4,a)
    | ~ subset_sets(f13(a,cx,X1,X0),cx) ) ).

cnf(u4112,axiom,
    ( element_of_set(f11(subspace_topology(X1,X2,X0),intersection_of_sets(f8(X3,X4),f9(X3,X4))),intersection_of_sets(f8(X3,X4),f9(X3,X4)))
    | subset_sets(X0,X1)
    | ~ equal_sets(union_of_members(X4),X3)
    | basis(X3,X4) ) ).

cnf(u3594,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,f19(sF0,X4)),X2,X3)
    | element_of_collection(boundary(X1,X2,X3),top_of_basis(X0))
    | ~ subset_sets(X1,f13(a,cx,ct,f19(sF0,X4)))
    | element_of_set(f11(X0,boundary(X1,X2,X3)),sF0)
    | ~ topological_space(sF0,X4)
    | hausdorff(sF0,X4) ) ).

cnf(u1475,axiom,
    ( element_of_set(f19(intersection_of_sets(X0,X1),X2),f6(X3,X4,f19(intersection_of_sets(X0,X1),X2),X0,X1))
    | ~ element_of_collection(X0,X4)
    | ~ element_of_collection(X1,X4)
    | ~ basis(X3,X4)
    | ~ element_of_set(f19(intersection_of_sets(X0,X1),X2),X3)
    | ~ topological_space(intersection_of_sets(X0,X1),X2)
    | hausdorff(intersection_of_sets(X0,X1),X2) ) ).

cnf(u9900,axiom,
    ( element_of_set(f11(subspace_topology(X0,X1,X2),f10(X3,interior(X4,X5,X6),X7)),f10(X3,interior(X4,X5,X6),X7))
    | subset_sets(f13(X4,X5,X6,f11(X3,interior(X4,X5,X6))),X4)
    | topological_space(X0,X1)
    | ~ element_of_set(X7,interior(X4,X5,X6)) ) ).

cnf(u7546,negated_conjecture,
    ( element_of_set(f11(X2,interior(a,cx,X1)),interior(a,cx,X1))
    | element_of_set(X0,union_of_members(top_of_basis(X2)))
    | ~ element_of_set(X0,a)
    | ~ topological_space(cx,X1)
    | element_of_set(f11(X1,a),a) ) ).

cnf(u1422,negated_conjecture,
    ( element_of_set(X5,interior(f14(f13(X0,X1,X2,f7(interior(X0,X1,X2),X3)),cx,ct,X4),X1,X2))
    | ~ subset_sets(f14(f13(X0,X1,X2,f7(interior(X0,X1,X2),X3)),cx,ct,X4),X1)
    | ~ element_of_set(X5,f13(X0,X1,X2,f7(interior(X0,X1,X2),X3)))
    | ~ topological_space(interior(X0,X1,X2),X3)
    | basis(interior(X0,X1,X2),X3)
    | ~ subset_sets(f13(X0,X1,X2,f7(interior(X0,X1,X2),X3)),a)
    | ~ subset_sets(f13(X0,X1,X2,f7(interior(X0,X1,X2),X3)),cx)
    | element_of_set(X4,a) ) ).

cnf(u3950,axiom,
    ( element_of_set(f11(X0,f1(ct,X1)),f1(ct,X1))
    | element_of_set(X1,union_of_members(top_of_basis(X0)))
    | ~ element_of_set(X1,sF0) ) ).

cnf(u7478,negated_conjecture,
    ( element_of_set(f11(X0,f10(X1,a,X2)),interior(a,cx,X1))
    | element_of_set(X3,f10(X0,f10(X1,a,X2),X3))
    | ~ topological_space(cx,X1)
    | ~ element_of_collection(a,top_of_basis(X1))
    | ~ element_of_set(X2,a)
    | ~ element_of_set(X3,f10(X1,a,X2)) ) ).

cnf(u341,axiom,
    ( subset_sets(f13(X0,X1,X2,f7(interior(X0,X1,X2),X3)),X0)
    | ~ topological_space(interior(X0,X1,X2),X3)
    | basis(interior(X0,X1,X2),X3) ) ).

cnf(u7142,axiom,
    ( element_of_collection(f13(X0,X1,X2,f11(X3,closure(X4,X5,X6))),X2)
    | element_of_set(X7,f10(X3,closure(X4,X5,X6),X7))
    | ~ subset_sets(X4,interior(X0,X1,X2))
    | ~ element_of_set(X7,closure(X4,X5,X6))
    | ~ closed(interior(X0,X1,X2),X5,X6) ) ).

cnf(u7110,negated_conjecture,
    ( ~ subset_sets(f13(f14(X0,cx,ct,X1),X2,X3,f11(X4,closure(X5,X6,X7))),cx)
    | ~ closed(interior(f14(X0,cx,ct,X1),X2,X3),X6,X7)
    | ~ subset_sets(X5,interior(f14(X0,cx,ct,X1),X2,X3))
    | ~ element_of_set(X8,closure(X5,X6,X7))
    | ~ subset_sets(X0,cx)
    | element_of_set(X1,a)
    | element_of_set(X8,f10(X4,closure(X5,X6,X7),X8))
    | ~ subset_sets(X0,a)
    | closed(f14(f13(f14(X0,cx,ct,X1),X2,X3,f11(X4,closure(X5,X6,X7))),cx,ct,X9),cx,ct)
    | element_of_set(X9,f14(X0,cx,ct,X1)) ) ).

cnf(u1253,negated_conjecture,
    ( closed(f14(relative_complement_sets(X0,cx),cx,ct,X2),cx,ct)
    | element_of_set(X2,f14(relative_complement_sets(X0,cx),cx,ct,X1))
    | ~ subset_sets(relative_complement_sets(X0,cx),a)
    | element_of_set(X1,a)
    | ~ subset_sets(relative_complement_sets(X0,cx),cx)
    | element_of_set(X1,boundary(X0,cx,ct))
    | ~ element_of_set(X1,closure(X0,cx,ct)) ) ).

cnf(u1564,axiom,
    ( element_of_set(f11(X4,f16(X3,X2,X0,X1)),union_of_members(X1))
    | ~ subset_sets(X2,X0)
    | limit_point(X3,X2,X0,X1)
    | ~ topological_space(X0,X1)
    | element_of_collection(f16(X3,X2,X0,X1),top_of_basis(X4)) ) ).

cnf(u3628,axiom,
    ( ~ element_of_set(f7(X0,X1),f13(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2,X3,f11(X7,boundary(X6,X4,X5))))
    | ~ subset_sets(X6,interior(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2,X3))
    | element_of_collection(boundary(X6,X4,X5),top_of_basis(X7))
    | ~ equal_sets(union_of_members(X1),X0)
    | ~ closed(interior(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2,X3),X4,X5)
    | ~ element_of_collection(f13(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2,X3,f11(X7,boundary(X6,X4,X5))),X1)
    | basis(X0,X1) ) ).

cnf(u3532,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X1,X2,X0),sF1),f14(a,cx,ct,X3))
    | subset_sets(X0,X1)
    | element_of_set(X3,sF1) ) ).

cnf(u9598,negated_conjecture,
    ( ~ element_of_collection(f13(a,cx,X2,f11(subspace_topology(X1,X5,X0),interior(a,cx,X2))),X3)
    | element_of_set(f11(X2,a),sF0)
    | ~ topological_space(cx,X2)
    | ~ topological_space(cx,X3)
    | ~ element_of_set(X4,f13(a,cx,X2,f11(subspace_topology(X1,X5,X0),interior(a,cx,X2))))
    | subset_sets(X0,X1)
    | element_of_set(X4,interior(a,cx,X3)) ) ).

cnf(problem_9_143,negated_conjecture,
    subset_sets(a,cx) ).

cnf(u1665,negated_conjecture,
    ( element_of_set(f7(sF1,X0),f14(a,cx,ct,X1))
    | ~ topological_space(sF1,X0)
    | element_of_set(X1,sF1)
    | basis(sF1,X0) ) ).

cnf(u1381,axiom,
    ( ~ open_covering(f23(X2,X3,f24(X0,X1)),X0,X1)
    | ~ compact_space(X2,X3)
    | compact_space(X0,X1)
    | ~ open_covering(f24(X0,X1),X2,X3) ) ).

cnf(u3900,negated_conjecture,
    ( ~ subset_sets(X4,f14(a,cx,ct,f11(X3,f14(sF1,X0,X1,X2))))
    | ~ element_of_collection(sF1,X3)
    | element_of_set(X2,closure(sF1,X0,X1))
    | ~ subset_sets(sF1,X0)
    | ~ topological_space(X0,X1)
    | ~ subset_sets(X4,cx)
    | element_of_collection(f14(sF1,X0,X1,X2),top_of_basis(X3))
    | subset_sets(X4,f14(X4,cx,ct,X5))
    | element_of_set(X5,f14(a,cx,ct,f11(X3,f14(sF1,X0,X1,X2)))) ) ).

cnf(u11706,axiom,
    ( limit_point(X0,X4,X5,X6)
    | element_of_set(f11(X7,interior(X1,X2,X3)),interior(X1,X2,X3))
    | element_of_set(X0,union_of_members(top_of_basis(X7))) ) ).

cnf(u3555,axiom,
    ( ~ compact_space(intersection_of_sets(X0,f12(X1,X2,X0,union_of_members(X3))),X4)
    | ~ element_of_collection(union_of_members(X3),subspace_topology(X1,X2,X0))
    | ~ subset_collections(X3,X4)
    | ~ topological_space(X5,X3)
    | element_of_collection(union_of_members(f23(intersection_of_sets(X0,f12(X1,X2,X0,union_of_members(X3))),X4,X3)),X3) ) ).

cnf(u954,axiom,
    ( ~ closed(relative_complement_sets(X4,X5),X1,X2)
    | ~ subset_sets(X0,relative_complement_sets(X4,X5))
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | element_of_set(f19(closure(X0,X1,X2),X3),union_of_members(X6))
    | ~ closed(X4,X5,X6) ) ).

cnf(u6832,negated_conjecture,
    ( element_of_set(X7,interior(f14(f13(X2,X3,X4,f19(interior(X2,X3,X4),X5)),X0,X1,X6),X3,X4))
    | ~ subset_sets(f13(X2,X3,X4,f19(interior(X2,X3,X4),X5)),sF1)
    | ~ subset_sets(f13(X2,X3,X4,f19(interior(X2,X3,X4),X5)),X0)
    | ~ topological_space(interior(X2,X3,X4),X5)
    | ~ subset_sets(f14(f13(X2,X3,X4,f19(interior(X2,X3,X4),X5)),X0,X1,X6),X3)
    | ~ element_of_set(X7,f13(X2,X3,X4,f19(interior(X2,X3,X4),X5)))
    | hausdorff(interior(X2,X3,X4),X5)
    | ~ closed(sF1,X0,X1) ) ).

cnf(u3595,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,f19(closure(X4,X5,X6),X7)),X2,X3)
    | element_of_collection(boundary(X1,X2,X3),top_of_basis(X0))
    | ~ subset_sets(X1,f13(a,cx,ct,f19(closure(X4,X5,X6),X7)))
    | ~ closed(sF0,X5,X6)
    | ~ subset_sets(X4,sF0)
    | ~ topological_space(closure(X4,X5,X6),X7)
    | hausdorff(closure(X4,X5,X6),X7)
    | element_of_set(f11(X0,boundary(X1,X2,X3)),sF0) ) ).

cnf(u3502,axiom,
    ( ~ topological_space(f13(X1,X2,X3,f19(sF1,X0)),X4)
    | hausdorff(sF1,X0)
    | ~ closed(interior(X1,X2,X3),cx,ct)
    | ~ subset_sets(a,interior(X1,X2,X3))
    | element_of_set(f19(f13(X1,X2,X3,f19(sF1,X0)),X4),interior(X1,X2,X3))
    | ~ topological_space(sF1,X0)
    | hausdorff(f13(X1,X2,X3,f19(sF1,X0)),X4) ) ).

cnf(u3718,axiom,
    ( ~ topological_space(closure(X3,X4,X5),X7)
    | element_of_set(f11(subspace_topology(X0,X1,X2),closure(X3,X4,X5)),X6)
    | ~ closed(X6,X4,X5)
    | ~ subset_sets(X3,X6)
    | basis(closure(X3,X4,X5),X7)
    | topological_space(X0,X1) ) ).

cnf(u7295,axiom,
    ( ~ element_of_set(X1,f1(ct,f7(sF0,X0)))
    | basis(sF0,X0)
    | ~ topological_space(sF0,X0)
    | element_of_set(X1,union_of_members(ct)) ) ).

cnf(u657,axiom,
    ( ~ closed(f14(X4,X5,X6,f20(closure(X0,X1,X2),X3)),X1,X2)
    | ~ subset_sets(X0,f14(X4,X5,X6,f20(closure(X0,X1,X2),X3)))
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | ~ topological_space(X5,X6)
    | ~ subset_sets(X4,X5)
    | element_of_set(f20(closure(X0,X1,X2),X3),closure(X4,X5,X6)) ) ).

cnf(connected_set_92,axiom,
    ( ~ connected_set(X0,X1,X2)
    | topological_space(X1,X2) ) ).

cnf(u3830,axiom,
    ( ~ closed(f1(X1,X3),X5,X6)
    | ~ subset_sets(X2,X0)
    | limit_point(X3,X2,X0,X1)
    | element_of_set(f19(closure(X4,X5,X6),X7),union_of_members(X1))
    | hausdorff(closure(X4,X5,X6),X7)
    | ~ subset_sets(X4,f1(X1,X3))
    | ~ topological_space(X0,X1)
    | ~ topological_space(closure(X4,X5,X6),X7) ) ).

cnf(u8019,axiom,
    ( ~ element_of_collection(f13(f13(a,cx,ct,X0),X1,X2,f11(X3,interior(f13(a,cx,ct,X0),X1,X2))),X5)
    | ~ element_of_set(X4,interior(f13(a,cx,ct,X0),X1,X2))
    | ~ topological_space(a,X5)
    | ~ element_of_set(X6,f13(f13(a,cx,ct,X0),X1,X2,f11(X3,interior(f13(a,cx,ct,X0),X1,X2))))
    | element_of_set(X4,f10(X3,interior(f13(a,cx,ct,X0),X1,X2),X4))
    | element_of_set(X6,interior(f13(a,cx,ct,X0),a,X5))
    | ~ element_of_set(X0,sF0) ) ).

cnf(u3643,negated_conjecture,
    ( element_of_set(f11(X4,f13(a,cx,ct,f11(X3,boundary(X0,X1,X2)))),sF0)
    | ~ closed(sF0,X1,X2)
    | element_of_collection(boundary(X0,X1,X2),top_of_basis(X3))
    | ~ subset_sets(X0,sF0)
    | element_of_collection(f13(a,cx,ct,f11(X3,boundary(X0,X1,X2))),top_of_basis(X4)) ) ).

cnf(u785,axiom,
    ( ~ closed(interior(X4,X5,X6),X2,X3)
    | element_of_collection(closure(X1,X2,X3),top_of_basis(X0))
    | ~ subset_sets(X1,interior(X4,X5,X6))
    | subset_sets(X4,X5) ) ).

cnf(u1217,axiom,
    ( element_of_collection(intersection_of_sets(X3,X4),subspace_topology(X1,X2,X0))
    | ~ element_of_collection(X3,subspace_topology(X1,X2,X0))
    | ~ element_of_collection(X4,subspace_topology(X1,X2,X0))
    | ~ connected_set(X0,X1,X2) ) ).

cnf(u7074,axiom,
    ( ~ closed(f16(X4,X5,X6,X7),X2,X3)
    | ~ element_of_set(X8,closure(X1,X2,X3))
    | element_of_set(X8,f10(X0,closure(X1,X2,X3),X8))
    | ~ subset_sets(X1,f16(X4,X5,X6,X7))
    | ~ topological_space(X6,X7)
    | ~ subset_sets(X5,X6)
    | limit_point(X4,X5,X6,X7)
    | element_of_set(f11(X0,closure(X1,X2,X3)),union_of_members(X7)) ) ).

cnf(u6047,negated_conjecture,
    ( ~ topological_space(boundary(a,cx,ct),X1)
    | ~ element_of_collection(X0,X1)
    | ~ element_of_set(X2,X0)
    | ~ subset_sets(X0,a)
    | element_of_set(X2,interior(a,boundary(a,cx,ct),X1)) ) ).

cnf(u646,axiom,
    ( ~ closed(f13(a,cx,ct,X4),X1,X2)
    | ~ subset_sets(X0,f13(a,cx,ct,X4))
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | element_of_set(f20(closure(X0,X1,X2),X3),union_of_members(ct))
    | ~ element_of_set(X4,sF0) ) ).

cnf(u7002,axiom,
    ( element_of_set(X0,f10(X3,relative_complement_sets(X1,X2),X0))
    | ~ element_of_set(X0,relative_complement_sets(X1,X2))
    | ~ closed(X1,X2,top_of_basis(X3)) ) ).

cnf(hausdorff_77,axiom,
    ( element_of_set(f19(X0,X1),X0)
    | ~ topological_space(X0,X1)
    | hausdorff(X0,X1) ) ).

cnf(u6664,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,f11(X3,closure(X0,X1,X2))),X5,X6)
    | element_of_set(f19(closure(X4,X5,X6),X7),interior(a,sF0,ct))
    | ~ closed(sF0,X1,X2)
    | ~ subset_sets(X0,sF0)
    | hausdorff(closure(X4,X5,X6),X7)
    | ~ subset_sets(X4,f13(a,cx,ct,f11(X3,closure(X0,X1,X2))))
    | element_of_collection(closure(X0,X1,X2),top_of_basis(X3))
    | ~ topological_space(closure(X4,X5,X6),X7) ) ).

cnf(u6930,axiom,
    ( element_of_set(f7(f13(a,cx,ct,f20(sF0,X0)),X1),union_of_members(ct))
    | ~ topological_space(sF0,X0)
    | hausdorff(sF0,X0)
    | basis(f13(a,cx,ct,f20(sF0,X0)),X1)
    | ~ topological_space(f13(a,cx,ct,f20(sF0,X0)),X1) ) ).

cnf(u7336,axiom,
    ( ~ closed(interior(X0,X1,subspace_topology(X2,X3,X4)),X7,X8)
    | ~ subset_sets(X6,interior(X0,X1,subspace_topology(X2,X3,X4)))
    | ~ element_of_set(X9,closure(X6,X7,X8))
    | element_of_set(X9,f10(X5,closure(X6,X7,X8),X9))
    | subset_sets(X4,X2) ) ).

cnf(u8135,negated_conjecture,
    ( element_of_set(f19(f13(a,cx,ct,X0),X1),union_of_members(top_of_basis(X2)))
    | ~ topological_space(f13(a,cx,ct,X0),X1)
    | hausdorff(f13(a,cx,ct,X0),X1)
    | element_of_set(f11(X2,sF0),sF0)
    | ~ element_of_set(X0,a) ) ).

cnf(u9893,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X0,X1,X2),f1(top_of_basis(X3),X4)),f1(top_of_basis(X3),X4))
    | element_of_set(f11(X3,sF1),f14(a,cx,ct,X5))
    | topological_space(X0,X1)
    | element_of_set(X5,sF1)
    | ~ element_of_set(X4,sF1) ) ).

cnf(u1686,negated_conjecture,
    ( element_of_set(f19(f13(a,cx,ct,f7(closure(X2,X0,X1),X3)),X4),sF0)
    | ~ subset_sets(X2,sF0)
    | basis(closure(X2,X0,X1),X3)
    | ~ topological_space(closure(X2,X0,X1),X3)
    | ~ closed(sF0,X0,X1)
    | ~ topological_space(f13(a,cx,ct,f7(closure(X2,X0,X1),X3)),X4)
    | hausdorff(f13(a,cx,ct,f7(closure(X2,X0,X1),X3)),X4) ) ).

cnf(u871,axiom,
    ( element_of_set(f11(X5,closure(X3,X1,X2)),union_of_members(top_of_basis(X4)))
    | element_of_set(f11(X4,closure(X3,X1,X2)),X0)
    | ~ subset_sets(X3,X0)
    | ~ closed(X0,X1,X2)
    | element_of_collection(closure(X3,X1,X2),top_of_basis(X5)) ) ).

cnf(u1117,axiom,
    ( ~ closed(interior(X0,X1,subspace_topology(X2,X3,X4)),X5,X6)
    | ~ topological_space(closure(X7,X5,X6),X8)
    | hausdorff(closure(X7,X5,X6),X8)
    | ~ subset_sets(X7,interior(X0,X1,subspace_topology(X2,X3,X4)))
    | subset_sets(X4,X2) ) ).

cnf(u7393,axiom,
    ( element_of_set(X13,interior(f14(f13(X0,X1,X2,f11(X3,closure(X4,X5,X6))),X7,X8,f11(X12,f14(closure(f13(X0,X1,X2,f11(X3,closure(X4,X5,X6))),X7,X8),X9,X10,X11))),X1,X2))
    | ~ element_of_collection(closure(f13(X0,X1,X2,f11(X3,closure(X4,X5,X6))),X7,X8),X12)
    | ~ subset_sets(f13(X0,X1,X2,f11(X3,closure(X4,X5,X6))),X7)
    | ~ topological_space(X7,X8)
    | element_of_set(X11,closure(closure(f13(X0,X1,X2,f11(X3,closure(X4,X5,X6))),X7,X8),X9,X10))
    | ~ subset_sets(closure(f13(X0,X1,X2,f11(X3,closure(X4,X5,X6))),X7,X8),X9)
    | ~ topological_space(X9,X10)
    | ~ subset_sets(X4,interior(X0,X1,X2))
    | element_of_collection(closure(X4,X5,X6),top_of_basis(X3))
    | ~ subset_sets(f14(f13(X0,X1,X2,f11(X3,closure(X4,X5,X6))),X7,X8,f11(X12,f14(closure(f13(X0,X1,X2,f11(X3,closure(X4,X5,X6))),X7,X8),X9,X10,X11))),X1)
    | ~ element_of_set(X13,f13(X0,X1,X2,f11(X3,closure(X4,X5,X6))))
    | ~ closed(interior(X0,X1,X2),X5,X6)
    | element_of_collection(f14(closure(f13(X0,X1,X2,f11(X3,closure(X4,X5,X6))),X7,X8),X9,X10,X11),top_of_basis(X12)) ) ).

cnf(u9026,negated_conjecture,
    ( element_of_set(f7(closure(X0,X1,X2),X3),sF0)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | ~ subset_sets(X0,a)
    | ~ closed(a,X1,X2)
    | basis(closure(X0,X1,X2),X3) ) ).

cnf(u3608,axiom,
    ( ~ closed(closure(X4,X5,X6),X2,X3)
    | element_of_collection(boundary(X1,X2,X3),top_of_basis(X0))
    | ~ subset_sets(X1,closure(X4,X5,X6))
    | topological_space(X5,X6) ) ).

cnf(u4022,negated_conjecture,
    ( element_of_set(f20(f13(a,cx,ct,f19(sF0,X1)),X2),union_of_members(top_of_basis(X0)))
    | element_of_set(f11(X0,sF0),sF0)
    | ~ topological_space(sF0,X1)
    | hausdorff(sF0,X1)
    | ~ topological_space(f13(a,cx,ct,f19(sF0,X1)),X2)
    | hausdorff(f13(a,cx,ct,f19(sF0,X1)),X2) ) ).

cnf(u1708,axiom,
    ( ~ subset_sets(f14(f13(X0,X1,X2,f7(sF1,X3)),X4,X5,X6),X1)
    | basis(sF1,X3)
    | ~ topological_space(sF1,X3)
    | ~ closed(interior(X0,X1,X2),cx,ct)
    | ~ element_of_set(X7,f13(X0,X1,X2,f7(sF1,X3)))
    | ~ subset_sets(a,interior(X0,X1,X2))
    | element_of_set(X7,interior(f14(f13(X0,X1,X2,f7(sF1,X3)),X4,X5,X6),X1,X2))
    | element_of_set(X6,closure(f13(X0,X1,X2,f7(sF1,X3)),X4,X5))
    | ~ subset_sets(f13(X0,X1,X2,f7(sF1,X3)),X4)
    | ~ topological_space(X4,X5) ) ).

cnf(u198,negated_conjecture,
    element_of_collection(empty_set,ct) ).

cnf(u7109,axiom,
    ( ~ closed(f13(closure(X0,X1,X2),X3,X4,f11(X5,closure(X6,X7,X8))),X1,X2)
    | ~ closed(interior(closure(X0,X1,X2),X3,X4),X7,X8)
    | ~ subset_sets(X6,interior(closure(X0,X1,X2),X3,X4))
    | ~ element_of_set(X9,closure(X6,X7,X8))
    | element_of_set(X9,f10(X5,closure(X6,X7,X8),X9))
    | ~ subset_sets(X0,f13(closure(X0,X1,X2),X3,X4,f11(X5,closure(X6,X7,X8))))
    | ~ element_of_collection(f13(closure(X0,X1,X2),X3,X4,f11(X5,closure(X6,X7,X8))),X10)
    | element_of_collection(closure(X0,X1,X2),top_of_basis(X10)) ) ).

cnf(u3959,axiom,
    ( element_of_set(f11(X0,f13(a,cx,ct,X1)),f13(a,cx,ct,X1))
    | element_of_set(X1,union_of_members(top_of_basis(X0)))
    | ~ element_of_set(X1,sF0) ) ).

cnf(u9311,negated_conjecture,
    ( element_of_set(X3,interior(f14(f13(a,cx,X1,X0),cx,ct,X2),cx,X1))
    | element_of_set(f11(X1,a),sF0)
    | ~ subset_sets(f14(f13(a,cx,X1,X0),cx,ct,X2),cx)
    | ~ element_of_set(X3,f13(a,cx,X1,X0))
    | ~ topological_space(cx,X1)
    | ~ element_of_set(X0,a)
    | ~ subset_sets(f13(a,cx,X1,X0),cx)
    | element_of_set(X2,a) ) ).

cnf(u7249,axiom,
    ( element_of_set(X0,f17(X1,X3,X0,X2))
    | ~ element_of_set(X2,X1)
    | eq_p(X0,X2)
    | ~ hausdorff(X1,X3)
    | ~ element_of_set(X0,X1) ) ).

cnf(u1096,negated_conjecture,
    ( ~ subset_sets(X2,f14(a,cx,ct,f11(X0,X1)))
    | element_of_collection(X1,top_of_basis(X0))
    | ~ subset_sets(sF1,X1)
    | ~ subset_sets(X2,cx)
    | ~ element_of_collection(sF1,X0)
    | closed(f14(X2,cx,ct,X3),cx,ct)
    | element_of_set(X3,f14(a,cx,ct,f11(X0,X1))) ) ).

cnf(u4059,negated_conjecture,
    ( ~ closed(f10(X0,a,X1),X3,X4)
    | ~ element_of_collection(a,top_of_basis(X0))
    | ~ element_of_set(X1,a)
    | element_of_set(f20(closure(X2,X3,X4),X5),interior(a,cx,X0))
    | hausdorff(closure(X2,X3,X4),X5)
    | ~ subset_sets(X2,f10(X0,a,X1))
    | ~ topological_space(cx,X0)
    | ~ topological_space(closure(X2,X3,X4),X5) ) ).

cnf(u7338,axiom,
    ( element_of_set(f11(X8,f10(X1,closure(X2,X3,X4),X0)),f10(X1,closure(X2,X3,X4),X0))
    | element_of_collection(f13(X5,X6,X7,f11(X1,closure(X2,X3,X4))),X7)
    | ~ element_of_set(X0,closure(X2,X3,X4))
    | ~ closed(interior(X5,X6,X7),X3,X4)
    | ~ subset_sets(X2,interior(X5,X6,X7))
    | element_of_set(X0,union_of_members(top_of_basis(X8))) ) ).

cnf(u472,axiom,
    ( element_of_set(f7(f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),X4),interior(X0,X1,X2))
    | hausdorff(interior(X0,X1,X2),X3)
    | ~ topological_space(interior(X0,X1,X2),X3)
    | basis(f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),X4)
    | ~ topological_space(f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),X4) ) ).

cnf(u975,axiom,
    ( ~ closed(f14(X4,X5,X6,f19(closure(X0,X1,X2),X3)),X1,X2)
    | ~ subset_sets(X0,f14(X4,X5,X6,f19(closure(X0,X1,X2),X3)))
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | ~ topological_space(X5,X6)
    | ~ subset_sets(X4,X5)
    | element_of_set(f19(closure(X0,X1,X2),X3),closure(X4,X5,X6)) ) ).

cnf(u1447,axiom,
    ( element_of_set(X4,interior(f14(f13(a,cx,ct,f11(X0,sF0)),X1,X2,X3),cx,ct))
    | ~ element_of_set(X4,f13(a,cx,ct,f11(X0,sF0)))
    | element_of_collection(sF0,top_of_basis(X0))
    | ~ subset_sets(f14(f13(a,cx,ct,f11(X0,sF0)),X1,X2,X3),cx)
    | element_of_set(X3,closure(f13(a,cx,ct,f11(X0,sF0)),X1,X2))
    | ~ subset_sets(f13(a,cx,ct,f11(X0,sF0)),X1)
    | ~ topological_space(X1,X2) ) ).

cnf(u669,axiom,
    ( ~ closed(interior(X0,X1,X2),cx,ct)
    | ~ subset_sets(a,interior(X0,X1,X2))
    | open(f13(X0,X1,X2,f20(sF1,X3)),X1,X2)
    | ~ topological_space(sF1,X3)
    | hausdorff(sF1,X3) ) ).

cnf(u9920,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X0,X1,X2),f13(a,cx,X3,X4)),f13(a,cx,X3,X4))
    | topological_space(X0,X1)
    | element_of_set(f11(X3,a),a)
    | ~ element_of_set(X4,a)
    | ~ topological_space(cx,X3) ) ).

cnf(u7051,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,f20(sF0,X4)),X2,X3)
    | ~ element_of_set(X5,closure(X1,X2,X3))
    | element_of_set(X5,f10(X0,closure(X1,X2,X3),X5))
    | ~ subset_sets(X1,f13(a,cx,ct,f20(sF0,X4)))
    | element_of_set(f11(X0,closure(X1,X2,X3)),sF0)
    | ~ topological_space(sF0,X4)
    | hausdorff(sF0,X4) ) ).

cnf(u1378,axiom,
    ( ~ open_covering(X0,X1,X2)
    | ~ compact_space(X1,X2)
    | ~ topological_space(X3,X0)
    | element_of_collection(union_of_members(f23(X1,X2,X0)),X0) ) ).

cnf(separation_88,axiom,
    ( ~ equal_sets(union_of_sets(X0,X1),X2)
    | ~ topological_space(X2,X3)
    | equal_sets(X0,empty_set)
    | equal_sets(X1,empty_set)
    | ~ element_of_collection(X0,X3)
    | ~ element_of_collection(X1,X3)
    | separation(X0,X1,X2,X3)
    | ~ disjoint_s(X0,X1) ) ).

cnf(u9779,negated_conjecture,
    ( element_of_set(f20(f13(a,cx,X1,X0),X2),f13(a,cx,X1,f20(f13(a,cx,X1,X0),X2)))
    | ~ topological_space(cx,X1)
    | element_of_set(f11(X1,a),a)
    | ~ topological_space(f13(a,cx,X1,X0),X2)
    | hausdorff(f13(a,cx,X1,X0),X2)
    | ~ element_of_set(X0,a) ) ).

cnf(u6979,negated_conjecture,
    ( element_of_set(X0,f10(X2,f13(a,cx,ct,f7(sF0,X1)),X0))
    | ~ element_of_set(X0,f13(a,cx,ct,f7(sF0,X1)))
    | ~ topological_space(sF0,X1)
    | basis(sF0,X1)
    | ~ element_of_collection(sF0,X2)
    | ~ subset_sets(sF0,f13(a,cx,ct,f7(sF0,X1))) ) ).

cnf(u1209,axiom,
    ( ~ element_of_set(f20(X0,X1),X3)
    | ~ disjoint_s(X2,X3)
    | ~ open(X3,X0,X1)
    | hausdorff(X0,X1)
    | ~ open(X2,X0,X1)
    | ~ element_of_set(f19(X0,X1),X2) ) ).

cnf(u7370,axiom,
    ( ~ closed(f9(X0,X1),X3,X4)
    | basis(X0,X1)
    | element_of_set(f19(closure(X2,X3,X4),X5),union_of_members(X1))
    | hausdorff(closure(X2,X3,X4),X5)
    | ~ subset_sets(X2,f9(X0,X1))
    | ~ topological_space(X0,X1)
    | ~ topological_space(closure(X2,X3,X4),X5) ) ).

cnf(u439,axiom,
    ( element_of_collection(f12(X0,X1,X2,f22(X3,subspace_topology(X0,X1,X2))),X1)
    | connected_space(X3,subspace_topology(X0,X1,X2))
    | ~ topological_space(X3,subspace_topology(X0,X1,X2)) ) ).

cnf(u10899,negated_conjecture,
    ( hausdorff(closure(X2,X0,X1),X3)
    | ~ closed(sF0,X0,X1) ) ).

cnf(u9486,negated_conjecture,
    ( element_of_set(f20(f13(a,cx,X1,X0),X2),union_of_members(X1))
    | ~ topological_space(cx,X1)
    | element_of_set(f11(X1,a),sF0)
    | ~ element_of_set(X0,a)
    | ~ topological_space(f13(a,cx,X1,X0),X2)
    | hausdorff(f13(a,cx,X1,X0),X2) ) ).

cnf(u370,negated_conjecture,
    ( ~ element_of_collection(f13(a,cx,ct,f19(sF0,X0)),X1)
    | ~ topological_space(sF0,X0)
    | ~ topological_space(cx,X1)
    | ~ element_of_set(X2,f13(a,cx,ct,f19(sF0,X0)))
    | hausdorff(sF0,X0)
    | element_of_set(X2,interior(a,cx,X1)) ) ).

cnf(u7055,axiom,
    ( ~ closed(f13(X4,X5,X6,f11(X7,boundary(X8,X9,X10))),X2,X3)
    | ~ element_of_set(X11,closure(X1,X2,X3))
    | element_of_set(X11,f10(X0,closure(X1,X2,X3),X11))
    | ~ subset_sets(X1,f13(X4,X5,X6,f11(X7,boundary(X8,X9,X10))))
    | element_of_collection(boundary(X8,X9,X10),top_of_basis(X7))
    | ~ subset_sets(X8,interior(X4,X5,X6))
    | ~ closed(interior(X4,X5,X6),X9,X10)
    | element_of_set(f11(X0,closure(X1,X2,X3)),interior(X4,X5,X6)) ) ).

cnf(u642,axiom,
    ( open(f13(X4,X5,X6,f20(closure(X0,X1,X2),X3)),X5,X6)
    | ~ subset_sets(X0,interior(X4,X5,X6))
    | ~ closed(interior(X4,X5,X6),X1,X2)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | hausdorff(closure(X0,X1,X2),X3) ) ).

cnf(u7740,negated_conjecture,
    ( element_of_collection(f12(X0,X1,X2,f13(a,cx,subspace_topology(X0,X1,X2),X3)),X1)
    | ~ element_of_set(X3,a)
    | ~ topological_space(cx,subspace_topology(X0,X1,X2))
    | element_of_set(f11(subspace_topology(X0,X1,X2),a),a) ) ).

cnf(u3639,negated_conjecture,
    ( ~ element_of_set(X4,f13(a,cx,ct,f11(X3,boundary(X2,X0,X1))))
    | ~ subset_sets(X2,sF0)
    | ~ closed(sF0,X0,X1)
    | element_of_collection(boundary(X2,X0,X1),top_of_basis(X3))
    | element_of_set(X4,sF0) ) ).

cnf(hausdorff_73,axiom,
    ( ~ hausdorff(X0,X1)
    | topological_space(X0,X1) ) ).

cnf(u739,axiom,
    ( topological_space(X0,subspace_topology(X1,X2,X0))
    | ~ connected_set(X0,X1,X2) ) ).

cnf(u4036,axiom,
    ( ~ closed(f13(X4,X5,X6,f11(X3,closure(X0,X1,X2))),X8,X9)
    | ~ subset_sets(X0,interior(X4,X5,X6))
    | ~ closed(interior(X4,X5,X6),X1,X2)
    | element_of_set(f7(closure(X7,X8,X9),X10),interior(X4,X5,X6))
    | ~ topological_space(closure(X7,X8,X9),X10)
    | ~ subset_sets(X7,f13(X4,X5,X6,f11(X3,closure(X0,X1,X2))))
    | element_of_collection(closure(X0,X1,X2),top_of_basis(X3))
    | basis(closure(X7,X8,X9),X10) ) ).

cnf(u985,axiom,
    ( element_of_collection(f13(X1,X2,X3,f19(closure(X0,X4,X5),X6)),X3)
    | ~ closed(interior(X1,X2,X3),X4,X5)
    | ~ topological_space(closure(X0,X4,X5),X6)
    | hausdorff(closure(X0,X4,X5),X6)
    | ~ subset_sets(X0,interior(X1,X2,X3)) ) ).

cnf(u532,axiom,
    ( closed(f14(relative_complement_sets(X0,X1),X1,X2,f20(closure(X0,X1,X2),X3)),X1,X2)
    | element_of_set(f20(closure(X0,X1,X2),X3),boundary(X0,X1,X2))
    | ~ subset_sets(relative_complement_sets(X0,X1),X1)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | hausdorff(closure(X0,X1,X2),X3) ) ).

cnf(u8398,negated_conjecture,
    ( open(f13(a,cx,X0,f11(subspace_topology(X2,X3,X1),interior(a,cx,X0))),cx,X0)
    | subset_sets(X1,X2)
    | ~ topological_space(cx,X0)
    | element_of_set(f11(X0,a),a) ) ).

cnf(u6939,axiom,
    ( ~ closed(f13(a,cx,ct,f20(sF0,X0)),X2,X3)
    | ~ topological_space(sF0,X0)
    | element_of_set(f20(closure(X1,X2,X3),X4),union_of_members(ct))
    | hausdorff(closure(X1,X2,X3),X4)
    | ~ subset_sets(X1,f13(a,cx,ct,f20(sF0,X0)))
    | hausdorff(sF0,X0)
    | ~ topological_space(closure(X1,X2,X3),X4) ) ).

cnf(u8054,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,f11(X5,sF0)),X2,X3)
    | ~ element_of_set(X4,sF0)
    | element_of_set(X4,f10(X5,sF0,X4))
    | element_of_set(X6,f10(X0,closure(X1,X2,X3),X6))
    | ~ element_of_set(X6,closure(X1,X2,X3))
    | element_of_set(f11(X0,closure(X1,X2,X3)),sF0)
    | ~ subset_sets(X1,f13(a,cx,ct,f11(X5,sF0))) ) ).

cnf(u6973,negated_conjecture,
    ( element_of_set(X0,f10(X1,f1(top_of_basis(X1),X2),X0))
    | ~ element_of_set(X0,f1(top_of_basis(X1),X2))
    | element_of_set(f11(X1,sF1),sF1)
    | ~ element_of_set(X2,sF1) ) ).

cnf(u4073,axiom,
    ( element_of_set(f7(f13(a,cx,ct,f19(sF0,X0)),X1),union_of_members(ct))
    | ~ topological_space(sF0,X0)
    | hausdorff(sF0,X0)
    | basis(f13(a,cx,ct,f19(sF0,X0)),X1)
    | ~ topological_space(f13(a,cx,ct,f19(sF0,X0)),X1) ) ).

cnf(u44750,axiom,
    ( ~ open_covering(X1,X2,f24(X0,X1))
    | ~ compact_space(X2,f24(X0,X1))
    | compact_space(X0,X1) ) ).

cnf(u9438,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X3,X4,X2),f10(X1,a,X0)),f10(X1,a,X0))
    | ~ element_of_set(X0,a)
    | subset_sets(X2,X3)
    | element_of_set(f11(X1,a),sF0) ) ).

cnf(u1610,negated_conjecture,
    ( ~ closed(f1(ct,X4),X1,X2)
    | ~ subset_sets(X0,f1(ct,X4))
    | ~ topological_space(closure(X0,X1,X2),X3)
    | basis(closure(X0,X1,X2),X3)
    | ~ element_of_set(X4,cx)
    | element_of_set(f7(closure(X0,X1,X2),X3),union_of_members(ct)) ) ).

cnf(u4124,axiom,
    ( element_of_set(f11(subspace_topology(X1,X2,X0),f13(a,cx,ct,f11(X3,sF0))),f13(a,cx,ct,f11(X3,sF0)))
    | subset_sets(X0,X1)
    | element_of_collection(sF0,top_of_basis(X3)) ) ).

cnf(u3722,axiom,
    ( ~ closed(closure(X3,X4,X5),X9,X10)
    | element_of_set(f11(subspace_topology(X0,X1,X2),closure(X3,X4,X5)),X6)
    | ~ closed(X6,X4,X5)
    | ~ subset_sets(X3,X6)
    | element_of_collection(closure(X8,X9,X10),top_of_basis(X7))
    | topological_space(X0,X1)
    | ~ subset_sets(X8,closure(X3,X4,X5)) ) ).

cnf(u1673,negated_conjecture,
    ( subset_sets(f13(f14(X1,cx,ct,X2),X3,X4,f7(closure(X0,X5,X6),X7)),f14(f13(f14(X1,cx,ct,X2),X3,X4,f7(closure(X0,X5,X6),X7)),cx,ct,X8))
    | ~ closed(interior(f14(X1,cx,ct,X2),X3,X4),X5,X6)
    | basis(closure(X0,X5,X6),X7)
    | ~ topological_space(closure(X0,X5,X6),X7)
    | ~ subset_sets(X1,cx)
    | element_of_set(X2,a)
    | ~ subset_sets(f13(f14(X1,cx,ct,X2),X3,X4,f7(closure(X0,X5,X6),X7)),cx)
    | ~ subset_sets(X1,a)
    | ~ subset_sets(X0,interior(f14(X1,cx,ct,X2),X3,X4))
    | element_of_set(X8,f14(X1,cx,ct,X2)) ) ).

cnf(u3680,axiom,
    ( ~ closed(interior(X1,X2,subspace_topology(X3,X4,X5)),X6,X7)
    | element_of_collection(boundary(X0,X6,X7),top_of_basis(X8))
    | ~ subset_sets(X0,interior(X1,X2,subspace_topology(X3,X4,X5)))
    | topological_space(X3,X4) ) ).

cnf(u830,negated_conjecture,
    ( ~ subset_sets(sF0,f13(a,cx,ct,X0))
    | ~ element_of_collection(sF0,X1)
    | ~ element_of_set(X0,sF0)
    | ~ element_of_set(X2,f13(a,cx,ct,X0))
    | element_of_set(X2,union_of_members(top_of_basis(X1))) ) ).

cnf(u336,axiom,
    ( eq_p(f7(intersection_of_sets(f16(X0,X1,X2,X3),X1),X4),X0)
    | ~ topological_space(intersection_of_sets(f16(X0,X1,X2,X3),X1),X4)
    | ~ topological_space(X2,X3)
    | ~ subset_sets(X1,X2)
    | limit_point(X0,X1,X2,X3)
    | basis(intersection_of_sets(f16(X0,X1,X2,X3),X1),X4) ) ).

cnf(u10018,axiom,
    ( ~ topological_space(X3,X4)
    | element_of_set(f11(subspace_topology(X0,X1,X2),X3),X3)
    | topological_space(X0,X1)
    | hausdorff(X3,X4) ) ).

cnf(u1102,negated_conjecture,
    ( ~ subset_sets(f14(f13(X0,X1,X2,f11(X3,sF1)),cx,ct,X4),X1)
    | element_of_collection(sF1,top_of_basis(X3))
    | ~ subset_sets(a,interior(X0,X1,X2))
    | ~ element_of_set(X5,f13(X0,X1,X2,f11(X3,sF1)))
    | ~ closed(interior(X0,X1,X2),cx,ct)
    | element_of_set(X5,interior(f14(f13(X0,X1,X2,f11(X3,sF1)),cx,ct,X4),X1,X2))
    | element_of_set(X4,f14(f13(X0,X1,X2,f11(X3,sF1)),cx,ct,X6))
    | ~ subset_sets(f13(X0,X1,X2,f11(X3,sF1)),a)
    | element_of_set(X6,a)
    | ~ subset_sets(f13(X0,X1,X2,f11(X3,sF1)),cx) ) ).

cnf(u7387,axiom,
    ( element_of_set(X10,interior(f14(f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),X4,X5,f11(X9,f14(closure(f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),X4,X5),X6,X7,X8))),X1,X2))
    | ~ element_of_collection(closure(f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),X4,X5),X9)
    | ~ subset_sets(f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),X4)
    | ~ topological_space(X4,X5)
    | element_of_set(X8,closure(closure(f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),X4,X5),X6,X7))
    | ~ subset_sets(closure(f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),X4,X5),X6)
    | ~ topological_space(X6,X7)
    | ~ topological_space(interior(X0,X1,X2),X3)
    | ~ subset_sets(f14(f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),X4,X5,f11(X9,f14(closure(f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),X4,X5),X6,X7,X8))),X1)
    | ~ element_of_set(X10,f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)))
    | hausdorff(interior(X0,X1,X2),X3)
    | element_of_collection(f14(closure(f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)),X4,X5),X6,X7,X8),top_of_basis(X9)) ) ).

cnf(u1311,negated_conjecture,
    ( ~ element_of_set(X2,f1(top_of_basis(X0),X1))
    | ~ element_of_set(X1,sF1)
    | element_of_set(f11(X0,sF1),sF1)
    | element_of_set(X2,union_of_members(top_of_basis(X0))) ) ).

cnf(u809,axiom,
    ( ~ closed(X0,cx,ct)
    | ~ subset_sets(X0,sF1)
    | ~ subset_sets(a,X0)
    | ~ element_of_collection(X0,X1)
    | element_of_collection(sF1,top_of_basis(X1)) ) ).

cnf(u665,negated_conjecture,
    ( ~ subset_sets(a,f14(X1,cx,ct,X2))
    | hausdorff(sF1,X0)
    | element_of_set(f20(sF1,X0),f14(X1,cx,ct,X2))
    | ~ topological_space(sF1,X0)
    | element_of_set(X2,closure(X1,cx,ct))
    | ~ subset_sets(X1,cx) ) ).

cnf(u7220,axiom,
    ( ~ closed(f13(boundary(X0,X1,X2),X3,X4,f11(X5,interior(boundary(X0,X1,X2),X3,X4))),X1,X2)
    | ~ subset_sets(X0,f13(boundary(X0,X1,X2),X3,X4,f11(X5,interior(boundary(X0,X1,X2),X3,X4))))
    | ~ element_of_collection(f13(boundary(X0,X1,X2),X3,X4,f11(X5,interior(boundary(X0,X1,X2),X3,X4))),X6)
    | element_of_collection(boundary(X0,X1,X2),top_of_basis(X6))
    | element_of_collection(interior(boundary(X0,X1,X2),X3,X4),top_of_basis(X5)) ) ).

cnf(u7303,axiom,
    ( ~ closed(f13(X4,X5,X6,f7(closure(X0,X1,X2),X3)),X9,X10)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | ~ closed(interior(X4,X5,X6),X1,X2)
    | ~ subset_sets(X0,interior(X4,X5,X6))
    | element_of_set(f11(X7,closure(X8,X9,X10)),interior(X4,X5,X6))
    | element_of_collection(closure(X8,X9,X10),top_of_basis(X7))
    | basis(closure(X0,X1,X2),X3)
    | ~ subset_sets(X8,f13(X4,X5,X6,f7(closure(X0,X1,X2),X3))) ) ).

cnf(u1073,negated_conjecture,
    ( ~ element_of_collection(f13(a,cx,ct,f7(sF0,X0)),X1)
    | basis(sF0,X0)
    | ~ topological_space(cx,X1)
    | ~ element_of_set(X2,f13(a,cx,ct,f7(sF0,X0)))
    | ~ topological_space(sF0,X0)
    | element_of_set(X2,interior(a,cx,X1)) ) ).

cnf(u7462,axiom,
    ( element_of_collection(f1(X1,f11(X0,union_of_members(X1))),X1)
    | element_of_set(X2,f10(X0,union_of_members(X1),X2))
    | ~ element_of_set(X2,union_of_members(X1)) ) ).

cnf(u1759,axiom,
    ( ~ element_of_set(X0,f22(X1,top_of_basis(subspace_topology(X2,X3,X4))))
    | subset_sets(X4,X2)
    | connected_space(X1,top_of_basis(subspace_topology(X2,X3,X4)))
    | ~ topological_space(X1,top_of_basis(subspace_topology(X2,X3,X4))) ) ).

cnf(u435,negated_conjecture,
    ( element_of_collection(f1(ct,X0),ct)
    | ~ element_of_set(X0,empty_set) ) ).

cnf(u3850,axiom,
    ( ~ element_of_collection(X2,subspace_topology(X0,X1,boundary(a,cx,ct)))
    | ~ compact_set(boundary(a,cx,ct),X0,X1)
    | ~ element_of_set(X3,X2)
    | ~ subset_sets(X2,sF1)
    | element_of_set(X3,interior(sF1,boundary(a,cx,ct),subspace_topology(X0,X1,boundary(a,cx,ct)))) ) ).

cnf(u1219,axiom,
    ( element_of_collection(X0,subspace_topology(X1,X2,X0))
    | ~ connected_set(X0,X1,X2) ) ).

cnf(u912,axiom,
    ( element_of_set(X10,interior(f14(f13(X1,X2,X3,f11(X6,closure(X0,X4,X5))),X7,X8,X9),X2,X3))
    | element_of_collection(closure(X0,X4,X5),top_of_basis(X6))
    | ~ subset_sets(f14(f13(X1,X2,X3,f11(X6,closure(X0,X4,X5))),X7,X8,X9),X2)
    | ~ element_of_set(X10,f13(X1,X2,X3,f11(X6,closure(X0,X4,X5))))
    | ~ closed(interior(X1,X2,X3),X4,X5)
    | ~ subset_sets(X0,interior(X1,X2,X3))
    | element_of_set(X9,closure(f13(X1,X2,X3,f11(X6,closure(X0,X4,X5))),X7,X8))
    | ~ subset_sets(f13(X1,X2,X3,f11(X6,closure(X0,X4,X5))),X7)
    | ~ topological_space(X7,X8) ) ).

cnf(u9570,negated_conjecture,
    ( element_of_set(f11(X3,f13(a,cx,X0,f11(subspace_topology(X2,X4,X1),interior(a,cx,X0)))),interior(a,cx,X0))
    | element_of_set(X5,f10(X3,f13(a,cx,X0,f11(subspace_topology(X2,X4,X1),interior(a,cx,X0))),X5))
    | subset_sets(X1,X2)
    | ~ topological_space(cx,X0)
    | element_of_set(f11(X0,a),a)
    | ~ element_of_set(X5,f13(a,cx,X0,f11(subspace_topology(X2,X4,X1),interior(a,cx,X0)))) ) ).

cnf(u654,axiom,
    ( ~ closed(closure(X4,X5,X6),X1,X2)
    | ~ subset_sets(X0,closure(X4,X5,X6))
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | subset_sets(X4,X5) ) ).

cnf(u3681,axiom,
    ( ~ closed(interior(X1,X2,subspace_topology(X3,X4,X5)),X6,X7)
    | element_of_collection(boundary(X0,X6,X7),top_of_basis(X8))
    | ~ subset_sets(X0,interior(X1,X2,subspace_topology(X3,X4,X5)))
    | subset_sets(X5,X3) ) ).

cnf(u7487,negated_conjecture,
    ( element_of_set(X2,f10(X0,f13(a,cx,ct,f7(sF0,X1)),X2))
    | element_of_set(f11(X0,f13(a,cx,ct,f7(sF0,X1))),sF0)
    | ~ element_of_set(X2,f13(a,cx,ct,f7(sF0,X1)))
    | basis(sF0,X1)
    | ~ topological_space(sF0,X1) ) ).

cnf(separation_85,axiom,
    ( ~ separation(X0,X1,X2,X3)
    | element_of_collection(X1,X3) ) ).

cnf(u751,axiom,
    ( element_of_set(f11(X0,interior(X1,X2,X3)),f13(X1,X2,X3,f11(X0,interior(X1,X2,X3))))
    | element_of_collection(interior(X1,X2,X3),top_of_basis(X0)) ) ).

cnf(u997,axiom,
    ( ~ closed(interior(X0,X1,X2),cx,ct)
    | ~ subset_sets(a,interior(X0,X1,X2))
    | subset_sets(f13(X0,X1,X2,f19(sF1,X3)),X0)
    | ~ topological_space(sF1,X3)
    | hausdorff(sF1,X3) ) ).

cnf(u528,axiom,
    ( closed(f14(relative_complement_sets(X1,X2),X2,X3,X0),X2,X3)
    | element_of_set(X0,boundary(X1,X2,X3))
    | ~ subset_sets(relative_complement_sets(X1,X2),X2)
    | closed(f14(X1,X2,X3,X0),X2,X3)
    | ~ subset_sets(X1,X2)
    | ~ topological_space(X2,X3) ) ).

cnf(u7176,axiom,
    ( element_of_set(f11(X8,f13(X4,X5,X6,f11(X0,closure(X1,X2,X3)))),f13(X4,X5,X6,f11(X0,closure(X1,X2,X3))))
    | element_of_set(X7,f10(X0,closure(X1,X2,X3),X7))
    | ~ subset_sets(X1,interior(X4,X5,X6))
    | ~ element_of_set(X7,closure(X1,X2,X3))
    | ~ closed(interior(X4,X5,X6),X2,X3)
    | element_of_set(f11(X0,closure(X1,X2,X3)),union_of_members(top_of_basis(X8))) ) ).

cnf(u4109,axiom,
    ( element_of_set(f11(subspace_topology(X1,X2,X0),f16(X3,X4,X5,X6)),f16(X3,X4,X5,X6))
    | subset_sets(X0,X1)
    | ~ subset_sets(X4,X5)
    | limit_point(X3,X4,X5,X6)
    | ~ topological_space(X5,X6) ) ).

cnf(u7028,axiom,
    ( element_of_set(f11(X0,closure(X1,X2,X3)),f6(X7,X8,f11(X0,closure(X1,X2,X3)),X4,X5))
    | element_of_set(X6,f10(X0,closure(X1,X2,X3),X6))
    | ~ closed(intersection_of_sets(X4,X5),X2,X3)
    | ~ subset_sets(X1,intersection_of_sets(X4,X5))
    | ~ element_of_set(f11(X0,closure(X1,X2,X3)),X7)
    | ~ element_of_collection(X4,X8)
    | ~ element_of_collection(X5,X8)
    | ~ basis(X7,X8)
    | ~ element_of_set(X6,closure(X1,X2,X3)) ) ).

cnf(u1125,axiom,
    ( ~ subset_sets(intersection_of_members(subspace_topology(X1,X4,X0)),X2)
    | element_of_collection(X2,top_of_basis(X3))
    | ~ element_of_collection(intersection_of_members(subspace_topology(X1,X4,X0)),X3)
    | subset_sets(X0,X1) ) ).

cnf(u7160,axiom,
    ( ~ subset_sets(f13(X0,X1,X2,f11(X3,sF1)),X4)
    | ~ closed(interior(X0,X1,X2),cx,ct)
    | ~ subset_sets(a,interior(X0,X1,X2))
    | ~ element_of_set(X5,sF1)
    | ~ subset_sets(X4,X1)
    | ~ element_of_set(X6,f13(X0,X1,X2,f11(X3,sF1)))
    | element_of_set(X5,f10(X3,sF1,X5))
    | element_of_set(X6,interior(X4,X1,X2)) ) ).

cnf(u1488,axiom,
    ( element_of_collection(f12(X2,X3,X4,f10(subspace_topology(X2,X3,X4),X1,X0)),X3)
    | ~ element_of_collection(X1,top_of_basis(subspace_topology(X2,X3,X4)))
    | ~ element_of_set(X0,X1) ) ).

cnf(u7088,axiom,
    ( ~ element_of_set(f11(X0,closure(X1,X2,X3)),closure(X4,X5,X6))
    | ~ element_of_set(X7,closure(X1,X2,X3))
    | ~ closed(closure(relative_complement_sets(X4,X5),X5,X6),X2,X3)
    | ~ subset_sets(X1,closure(relative_complement_sets(X4,X5),X5,X6))
    | element_of_set(X7,f10(X0,closure(X1,X2,X3),X7))
    | element_of_set(f11(X0,closure(X1,X2,X3)),boundary(X4,X5,X6)) ) ).

cnf(u401,axiom,
    ( element_of_collection(f9(intersection_of_sets(X0,f12(X1,X2,X0,union_of_members(X3))),X3),X3)
    | basis(intersection_of_sets(X0,f12(X1,X2,X0,union_of_members(X3))),X3)
    | ~ element_of_collection(union_of_members(X3),subspace_topology(X1,X2,X0)) ) ).

cnf(u9842,axiom,
    ( element_of_set(X3,union_of_members(subspace_topology(X1,X2,X0)))
    | ~ element_of_set(X3,empty_set)
    | ~ compact_set(X0,X1,X2) ) ).

cnf(u902,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,f11(X3,closure(X0,X1,X2))),X5,X6)
    | ~ closed(sF0,X1,X2)
    | element_of_collection(closure(X0,X1,X2),top_of_basis(X3))
    | element_of_set(f20(closure(X4,X5,X6),X7),sF0)
    | hausdorff(closure(X4,X5,X6),X7)
    | ~ subset_sets(X4,f13(a,cx,ct,f11(X3,closure(X0,X1,X2))))
    | ~ subset_sets(X0,sF0)
    | ~ topological_space(closure(X4,X5,X6),X7) ) ).

cnf(u480,axiom,
    ( element_of_collection(f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),X2)
    | ~ topological_space(interior(X0,X1,X2),X3)
    | hausdorff(interior(X0,X1,X2),X3) ) ).

cnf(u8382,negated_conjecture,
    ( ~ subset_sets(f14(f13(a,cx,ct,f11(X1,sF0)),X2,X3,X4),cx)
    | ~ element_of_set(X0,sF0)
    | ~ element_of_set(X5,f13(a,cx,ct,f11(X1,sF0)))
    | element_of_set(X0,f10(X1,sF0,X0))
    | element_of_set(X5,interior(f14(f13(a,cx,ct,f11(X1,sF0)),X2,X3,X4),cx,ct))
    | ~ closed(sF1,X2,X3)
    | ~ subset_sets(f13(a,cx,ct,f11(X1,sF0)),sF1)
    | ~ subset_sets(f13(a,cx,ct,f11(X1,sF0)),X2) ) ).

cnf(u529,axiom,
    ( closed(f14(relative_complement_sets(X1,X2),X2,X3,X0),X2,X3)
    | subset_sets(X1,f14(X1,X2,X3,X0))
    | ~ subset_sets(relative_complement_sets(X1,X2),X2)
    | element_of_set(X0,boundary(X1,X2,X3))
    | ~ subset_sets(X1,X2)
    | ~ topological_space(X2,X3) ) ).

cnf(u171,axiom,
    ( element_of_set(X0,f13(a,cx,ct,X0))
    | ~ element_of_set(X0,sF0) ) ).

cnf(u10616,axiom,
    ( element_of_set(f20(closure(X0,X1,X2),X3),interior(cx,cx,X4))
    | ~ closed(a,cx,X4)
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ closed(relative_complement_sets(a,cx),X1,X2) ) ).

cnf(u3980,axiom,
    ( element_of_set(f11(X0,f13(a,cx,ct,f11(X1,sF0))),f13(a,cx,ct,f11(X1,sF0)))
    | element_of_set(f11(X1,sF0),union_of_members(top_of_basis(X0)))
    | element_of_collection(sF0,top_of_basis(X1)) ) ).

cnf(u1388,axiom,
    ( element_of_collection(f13(X0,X1,X2,f7(interior(X0,X1,X2),X3)),X2)
    | basis(interior(X0,X1,X2),X3)
    | ~ topological_space(interior(X0,X1,X2),X3) ) ).

cnf(u948,axiom,
    ( ~ topological_space(closure(X0,X1,X2),X3)
    | ~ subset_sets(X0,union_of_members(X4))
    | ~ closed(union_of_members(X4),X1,X2)
    | hausdorff(closure(X0,X1,X2),X3)
    | element_of_collection(f1(X4,f19(closure(X0,X1,X2),X3)),X4) ) ).

cnf(u7092,axiom,
    ( ~ closed(f13(closure(X1,X2,X3),X4,X5,f7(closure(X6,X7,X8),X9)),X2,X3)
    | ~ element_of_set(X0,closure(X1,X2,X3))
    | ~ subset_sets(X1,f13(closure(X1,X2,X3),X4,X5,f7(closure(X6,X7,X8),X9)))
    | ~ element_of_collection(f13(closure(X1,X2,X3),X4,X5,f7(closure(X6,X7,X8),X9)),X10)
    | element_of_set(X0,f10(X10,closure(X1,X2,X3),X0))
    | ~ subset_sets(X6,interior(closure(X1,X2,X3),X4,X5))
    | ~ closed(interior(closure(X1,X2,X3),X4,X5),X7,X8)
    | basis(closure(X6,X7,X8),X9)
    | ~ topological_space(closure(X6,X7,X8),X9) ) ).

cnf(u9049,negated_conjecture,
    ( subset_sets(f13(a,cx,X0,X1),a)
    | ~ topological_space(cx,X0)
    | ~ element_of_set(X1,a)
    | element_of_set(f11(X0,a),sF0) ) ).

cnf(u299,axiom,
    ( open_covering(X2,X0,X1)
    | ~ subset_collections(X2,X1)
    | ~ topological_space(X0,X1)
    | ~ topological_space(X0,X2) ) ).

cnf(u1089,negated_conjecture,
    ( closed(f14(a,cx,ct,f11(X1,X0)),cx,ct)
    | ~ element_of_collection(sF1,X1)
    | element_of_collection(X0,top_of_basis(X1))
    | ~ subset_sets(sF1,X0) ) ).

cnf(u7713,negated_conjecture,
    ( element_of_set(f11(X2,f13(a,cx,X0,X1)),interior(a,cx,X0))
    | ~ element_of_set(X1,a)
    | ~ topological_space(cx,X0)
    | element_of_set(f11(X0,a),a)
    | element_of_collection(f13(a,cx,X0,X1),top_of_basis(X2)) ) ).

cnf(u1211,axiom,
    ( ~ element_of_set(X4,f13(X0,X1,X2,f19(interior(X0,X1,X2),X3)))
    | hausdorff(interior(X0,X1,X2),X3)
    | ~ topological_space(interior(X0,X1,X2),X3)
    | element_of_set(X4,union_of_members(X2)) ) ).

cnf(u776,negated_conjecture,
    ( ~ closed(f1(ct,X4),X2,X3)
    | element_of_collection(closure(X1,X2,X3),top_of_basis(X0))
    | ~ subset_sets(X1,f1(ct,X4))
    | ~ element_of_set(X4,cx)
    | element_of_set(f11(X0,closure(X1,X2,X3)),union_of_members(ct)) ) ).

cnf(u7267,negated_conjecture,
    ( ~ subset_sets(f13(f14(f13(a,cx,ct,X0),cx,ct,X1),cx,ct,f11(X2,X3)),X3)
    | ~ element_of_set(f11(X2,X3),f13(a,cx,ct,X0))
    | ~ element_of_set(X0,sF0)
    | ~ subset_sets(f13(a,cx,ct,X0),cx)
    | element_of_set(X1,a)
    | element_of_collection(X3,top_of_basis(X2))
    | ~ element_of_collection(f13(f14(f13(a,cx,ct,X0),cx,ct,X1),cx,ct,f11(X2,X3)),X2)
    | ~ subset_sets(f14(f13(a,cx,ct,X0),cx,ct,X1),cx) ) ).

cnf(u9894,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X0,X1,X2),f1(top_of_basis(ct),X3)),f1(top_of_basis(ct),X3))
    | topological_space(X0,X1)
    | ~ element_of_set(X3,a) ) ).

cnf(u9700,axiom,
    ( element_of_set(f11(subspace_topology(X3,X4,X2),f10(X1,sF0,X0)),f10(X1,sF0,X0))
    | subset_sets(f13(a,cx,ct,f11(X1,sF0)),a)
    | subset_sets(X2,X3)
    | ~ element_of_set(X0,sF0) ) ).

cnf(u650,axiom,
    ( ~ closed(f13(X4,X5,X6,f19(interior(X4,X5,X6),X7)),X1,X2)
    | ~ subset_sets(X0,f13(X4,X5,X6,f19(interior(X4,X5,X6),X7)))
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | ~ topological_space(interior(X4,X5,X6),X7)
    | hausdorff(interior(X4,X5,X6),X7)
    | element_of_set(f20(closure(X0,X1,X2),X3),interior(X4,X5,X6)) ) ).

cnf(u3931,negated_conjecture,
    ( element_of_set(f19(union_of_members(f24(X0,ct)),X1),union_of_members(ct))
    | ~ topological_space(X0,ct)
    | compact_space(X0,ct)
    | ~ topological_space(union_of_members(f24(X0,ct)),X1)
    | hausdorff(union_of_members(f24(X0,ct)),X1) ) ).

cnf(u2557,axiom,
    ( ~ closed(closure(X3,X4,X5),X9,X10)
    | element_of_set(f11(subspace_topology(X1,X2,X0),closure(X3,X4,X5)),X6)
    | ~ closed(X6,X4,X5)
    | ~ subset_sets(X3,X6)
    | element_of_collection(closure(X8,X9,X10),top_of_basis(X7))
    | subset_sets(X0,X1)
    | ~ subset_sets(X8,closure(X3,X4,X5)) ) ).

cnf(separation_81,axiom,
    ( ~ separation(X0,X1,X2,X3)
    | topological_space(X2,X3) ) ).

cnf(u7208,axiom,
    ( ~ element_of_set(X2,f1(X0,f19(union_of_members(X0),X1)))
    | ~ topological_space(union_of_members(X0),X1)
    | hausdorff(union_of_members(X0),X1)
    | element_of_set(X2,union_of_members(X0)) ) ).

cnf(u9209,negated_conjecture,
    ( element_of_set(X2,f10(X0,f13(a,cx,top_of_basis(X0),X1),X2))
    | ~ element_of_set(X1,a)
    | ~ topological_space(cx,top_of_basis(X0))
    | ~ element_of_set(X2,f13(a,cx,top_of_basis(X0),X1))
    | element_of_set(f11(top_of_basis(X0),a),sF0) ) ).

cnf(u9951,axiom,
    ( element_of_set(f11(subspace_topology(X0,X1,X2),f13(X3,X4,X5,f11(X6,closure(X7,X8,X9)))),f13(X3,X4,X5,f11(X6,closure(X7,X8,X9))))
    | element_of_set(X10,f10(X6,closure(X7,X8,X9),X10))
    | topological_space(X0,X1)
    | ~ closed(interior(X3,X4,X5),X8,X9)
    | ~ subset_sets(X7,interior(X3,X4,X5))
    | ~ element_of_set(X10,closure(X7,X8,X9)) ) ).

cnf(u6367,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X1,X3,X0),a),union_of_members(top_of_basis(X2)))
    | element_of_set(f11(X2,a),a)
    | subset_sets(X0,X1) ) ).

cnf(u1558,axiom,
    ( ~ closed(interior(X1,X2,subspace_topology(X3,X4,X5)),X6,X7)
    | element_of_collection(closure(X0,X6,X7),top_of_basis(X8))
    | ~ subset_sets(X0,interior(X1,X2,subspace_topology(X3,X4,X5)))
    | topological_space(X3,X4) ) ).

cnf(u7078,axiom,
    ( element_of_set(f11(X0,closure(X1,X2,X3)),closure(X4,X5,X6))
    | element_of_set(X7,f10(X0,closure(X1,X2,X3),X7))
    | ~ closed(boundary(X4,X5,X6),X2,X3)
    | ~ subset_sets(X1,boundary(X4,X5,X6))
    | ~ element_of_set(X7,closure(X1,X2,X3)) ) ).

cnf(u875,axiom,
    ( ~ closed(closure(X3,X1,X2),X6,X7)
    | ~ subset_sets(X3,X0)
    | element_of_set(f11(X4,closure(X3,X1,X2)),X0)
    | element_of_set(f20(closure(X5,X6,X7),X8),union_of_members(top_of_basis(X4)))
    | hausdorff(closure(X5,X6,X7),X8)
    | ~ subset_sets(X5,closure(X3,X1,X2))
    | ~ closed(X0,X1,X2)
    | ~ topological_space(closure(X5,X6,X7),X8) ) ).

cnf(u32325,axiom,
    ( ~ subset_collections(f23(X0,X1,f24(X2,X3)),X3)
    | compact_space(X2,X3)
    | ~ open_covering(f24(X2,X3),X0,X1)
    | ~ compact_space(X0,X1) ) ).

cnf(u3894,negated_conjecture,
    ( ~ subset_sets(a,f14(a,cx,ct,f11(X3,f14(sF1,X0,X1,X2))))
    | ~ element_of_collection(sF1,X3)
    | element_of_set(X2,closure(sF1,X0,X1))
    | ~ subset_sets(sF1,X0)
    | ~ topological_space(X0,X1)
    | ~ element_of_set(X4,sF1)
    | element_of_collection(f14(sF1,X0,X1,X2),top_of_basis(X3))
    | element_of_set(f11(X5,sF1),f14(a,cx,ct,f11(X3,f14(sF1,X0,X1,X2))))
    | element_of_set(X4,union_of_members(top_of_basis(X5))) ) ).

cnf(u9189,negated_conjecture,
    ( element_of_set(f11(X0,a),union_of_members(top_of_basis(X2)))
    | element_of_set(X1,union_of_members(X0))
    | ~ element_of_set(X1,a)
    | element_of_set(f11(X2,sF0),sF0)
    | ~ topological_space(cx,X0) ) ).

cnf(boundary_70,axiom,
    ( ~ element_of_set(X0,boundary(X1,X2,X3))
    | element_of_set(X0,closure(X1,X2,X3)) ) ).

cnf(u1494,negated_conjecture,
    ( ~ element_of_collection(union_of_members(f5(X0,ct)),ct)
    | ~ element_of_collection(X0,ct)
    | topological_space(X0,ct)
    | ~ equal_sets(union_of_members(ct),X0) ) ).

cnf(u8096,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,X4),X2,X3)
    | ~ element_of_set(X4,a)
    | element_of_collection(boundary(X1,X2,X3),top_of_basis(X0))
    | element_of_set(f11(X0,boundary(X1,X2,X3)),sF0)
    | ~ subset_sets(X1,f13(a,cx,ct,X4)) ) ).

cnf(u3597,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,f20(closure(X4,X5,X6),X7)),X2,X3)
    | element_of_collection(boundary(X1,X2,X3),top_of_basis(X0))
    | ~ subset_sets(X1,f13(a,cx,ct,f20(closure(X4,X5,X6),X7)))
    | ~ closed(sF0,X5,X6)
    | ~ subset_sets(X4,sF0)
    | ~ topological_space(closure(X4,X5,X6),X7)
    | hausdorff(closure(X4,X5,X6),X7)
    | element_of_set(f11(X0,boundary(X1,X2,X3)),sF0) ) ).

cnf(u11689,negated_conjecture,
    ( element_of_set(f15(X1,X4,X2,X3,X0),f13(a,a,X5,f15(X1,X4,X2,X3,X0)))
    | ~ limit_point(X1,X4,X2,X3)
    | ~ neighborhood(X0,X1,X2,X3) ) ).

cnf(u6795,negated_conjecture,
    ( ~ element_of_set(X3,closure(X0,X1,X2))
    | ~ closed(sF1,X1,X2)
    | ~ subset_sets(X0,sF1)
    | element_of_set(X3,union_of_members(top_of_basis(X4))) ) ).

cnf(u817,negated_conjecture,
    ( ~ subset_sets(a,f14(X1,cx,ct,X2))
    | element_of_collection(sF1,top_of_basis(X0))
    | element_of_set(f11(X0,sF1),f14(X1,cx,ct,X2))
    | element_of_set(X2,closure(X1,cx,ct))
    | ~ subset_sets(X1,cx) ) ).

cnf(u1110,axiom,
    ( ~ closed(f21(X0,X1),X3,X4)
    | connected_space(X0,X1)
    | element_of_set(f19(closure(X2,X3,X4),X5),union_of_members(X1))
    | hausdorff(closure(X2,X3,X4),X5)
    | ~ subset_sets(X2,f21(X0,X1))
    | ~ topological_space(X0,X1)
    | ~ topological_space(closure(X2,X3,X4),X5) ) ).

cnf(u3816,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X0,X1,X2),sF1),a)
    | topological_space(X0,X1) ) ).

cnf(u314,axiom,
    ( ~ element_of_collection(f12(X1,X2,X3,X0),X5)
    | ~ topological_space(X4,X5)
    | ~ subset_sets(X3,X4)
    | ~ element_of_collection(X0,subspace_topology(X1,X2,X3))
    | element_of_collection(X0,subspace_topology(X4,X5,X3)) ) ).

cnf(u7097,axiom,
    ( ~ closed(f13(closure(X1,X2,X3),X4,X5,f19(closure(X6,X7,X8),X9)),X2,X3)
    | ~ element_of_set(X0,closure(X1,X2,X3))
    | ~ subset_sets(X1,f13(closure(X1,X2,X3),X4,X5,f19(closure(X6,X7,X8),X9)))
    | ~ element_of_collection(f13(closure(X1,X2,X3),X4,X5,f19(closure(X6,X7,X8),X9)),X10)
    | element_of_set(X0,f10(X10,closure(X1,X2,X3),X0))
    | ~ subset_sets(X6,interior(closure(X1,X2,X3),X4,X5))
    | ~ closed(interior(closure(X1,X2,X3),X4,X5),X7,X8)
    | ~ topological_space(closure(X6,X7,X8),X9)
    | hausdorff(closure(X6,X7,X8),X9) ) ).

cnf(u6923,axiom,
    ( ~ element_of_set(X2,f1(X0,f20(union_of_members(X0),X1)))
    | ~ topological_space(union_of_members(X0),X1)
    | hausdorff(union_of_members(X0),X1)
    | element_of_set(X2,union_of_members(X0)) ) ).

cnf(u7105,axiom,
    ( ~ element_of_collection(f13(union_of_members(ct),X0,X1,f11(X2,closure(X3,X4,X5))),X7)
    | ~ closed(interior(union_of_members(ct),X0,X1),X4,X5)
    | ~ subset_sets(X3,interior(union_of_members(ct),X0,X1))
    | ~ element_of_set(X6,closure(X3,X4,X5))
    | ~ topological_space(sF0,X7)
    | ~ element_of_set(X8,f13(union_of_members(ct),X0,X1,f11(X2,closure(X3,X4,X5))))
    | element_of_set(X6,f10(X2,closure(X3,X4,X5),X6))
    | element_of_set(X8,interior(union_of_members(ct),sF0,X7)) ) ).

cnf(u1650,negated_conjecture,
    ( ~ subset_sets(a,f14(X1,cx,ct,X2))
    | ~ topological_space(sF1,X0)
    | element_of_set(f7(sF1,X0),f14(X1,cx,ct,X2))
    | basis(sF1,X0)
    | element_of_set(X2,f14(X1,cx,ct,X3))
    | ~ subset_sets(X1,a)
    | element_of_set(X3,a)
    | ~ subset_sets(X1,cx) ) ).

cnf(u898,negated_conjecture,
    ( element_of_set(f11(X4,f13(a,cx,ct,f11(X3,closure(X0,X1,X2)))),sF0)
    | ~ closed(sF0,X1,X2)
    | element_of_collection(closure(X0,X1,X2),top_of_basis(X3))
    | ~ subset_sets(X0,sF0)
    | element_of_collection(f13(a,cx,ct,f11(X3,closure(X0,X1,X2))),top_of_basis(X4)) ) ).

cnf(u9791,negated_conjecture,
    ( ~ element_of_collection(f13(a,cx,X0,f20(f13(a,cx,X0,X1),X2)),X3)
    | element_of_set(f11(X0,a),a)
    | ~ topological_space(f13(a,cx,X0,X1),X2)
    | hausdorff(f13(a,cx,X0,X1),X2)
    | ~ element_of_set(X1,a)
    | ~ topological_space(cx,X3)
    | ~ element_of_set(X4,f13(a,cx,X0,f20(f13(a,cx,X0,X1),X2)))
    | ~ topological_space(cx,X0)
    | element_of_set(X4,interior(a,cx,X3)) ) ).

cnf(u1081,negated_conjecture,
    ( subset_sets(f13(f14(f13(a,cx,ct,X1),cx,ct,X0),cx,ct,X2),f14(f13(a,cx,ct,X1),cx,ct,X0))
    | ~ subset_sets(f14(f13(a,cx,ct,X1),cx,ct,X0),cx)
    | ~ element_of_set(X2,f13(a,cx,ct,X1))
    | ~ element_of_set(X1,sF0)
    | ~ subset_sets(f13(a,cx,ct,X1),cx)
    | element_of_set(X0,a) ) ).

cnf(u8250,negated_conjecture,
    ( ~ element_of_set(f7(closure(X0,X1,X2),X3),a)
    | element_of_set(f11(X4,a),a)
    | element_of_set(f7(closure(X0,X1,X2),X3),union_of_members(X4))
    | ~ subset_sets(X0,interior(a,cx,X4))
    | ~ closed(interior(a,cx,X4),X1,X2)
    | basis(closure(X0,X1,X2),X3)
    | ~ topological_space(closure(X0,X1,X2),X3) ) ).

cnf(u311,axiom,
    ( element_of_set(X0,f1(ct,X0))
    | ~ element_of_set(X0,sF0) ) ).

cnf(u3700,axiom,
    ( ~ element_of_set(X0,f1(top_of_basis(subspace_topology(X1,X2,X3)),X4))
    | topological_space(X1,X2)
    | limit_point(X4,X5,X6,top_of_basis(subspace_topology(X1,X2,X3)))
    | ~ topological_space(X6,top_of_basis(subspace_topology(X1,X2,X3)))
    | ~ subset_sets(X5,X6) ) ).

cnf(u1581,axiom,
    ( element_of_collection(f12(X0,X1,X2,f1(subspace_topology(X0,X1,X2),X3)),X1)
    | limit_point(X3,X4,X5,subspace_topology(X0,X1,X2))
    | ~ subset_sets(X4,X5)
    | ~ topological_space(X5,subspace_topology(X0,X1,X2)) ) ).

cnf(u11966,negated_conjecture,
    ( ~ element_of_set(X0,f13(a,cx,X1,f19(f13(a,cx,X1,X2),X3)))
    | element_of_set(f11(X1,a),a)
    | hausdorff(f13(a,cx,X1,X2),X3)
    | ~ element_of_set(X2,a) ) ).

cnf(u6589,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,f20(closure(X0,X1,X2),X3)),X6,X7)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | element_of_set(f11(X4,boundary(X5,X6,X7)),interior(a,sF0,ct))
    | ~ subset_sets(X0,sF0)
    | ~ closed(sF0,X1,X2)
    | element_of_collection(boundary(X5,X6,X7),top_of_basis(X4))
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ subset_sets(X5,f13(a,cx,ct,f20(closure(X0,X1,X2),X3))) ) ).

cnf(u9758,negated_conjecture,
    ( element_of_set(f19(f13(a,cx,X1,X0),X2),f13(a,cx,X1,f19(f13(a,cx,X1,X0),X2)))
    | ~ topological_space(cx,X1)
    | element_of_set(f11(X1,a),a)
    | ~ topological_space(f13(a,cx,X1,X0),X2)
    | hausdorff(f13(a,cx,X1,X0),X2)
    | ~ element_of_set(X0,a) ) ).

cnf(u8243,negated_conjecture,
    ( ~ element_of_set(f19(closure(X0,X1,X2),X3),a)
    | element_of_set(f11(X4,a),a)
    | element_of_set(f19(closure(X0,X1,X2),X3),union_of_members(X4))
    | ~ subset_sets(X0,interior(a,cx,X4))
    | ~ closed(interior(a,cx,X4),X1,X2)
    | ~ topological_space(closure(X0,X1,X2),X3)
    | hausdorff(closure(X0,X1,X2),X3) ) ).

cnf(u4653,negated_conjecture,
    ( basis(sF1,subspace_topology(X0,X1,sF1))
    | ~ connected_set(sF1,X0,X1) ) ).

cnf(u7286,axiom,
    ( element_of_set(f19(f13(a,cx,ct,f7(sF0,X0)),X1),union_of_members(ct))
    | basis(sF0,X0)
    | ~ topological_space(sF0,X0)
    | ~ topological_space(f13(a,cx,ct,f7(sF0,X0)),X1)
    | hausdorff(f13(a,cx,ct,f7(sF0,X0)),X1) ) ).

cnf(u157,axiom,
    ( ~ subset_sets(X3,X0)
    | ~ element_of_collection(X2,X1)
    | ~ topological_space(X0,X1)
    | ~ element_of_set(X4,X2)
    | ~ subset_sets(X2,X3)
    | element_of_set(X4,interior(X3,X0,X1)) ) ).

cnf(u6931,axiom,
    ( ~ closed(f13(a,cx,ct,f20(sF0,X0)),X2,X3)
    | ~ topological_space(sF0,X0)
    | element_of_set(f7(closure(X1,X2,X3),X4),union_of_members(ct))
    | ~ topological_space(closure(X1,X2,X3),X4)
    | ~ subset_sets(X1,f13(a,cx,ct,f20(sF0,X0)))
    | hausdorff(sF0,X0)
    | basis(closure(X1,X2,X3),X4) ) ).

cnf(u759,negated_conjecture,
    ( element_of_set(f11(X0,f13(a,cx,ct,f20(sF0,X1))),sF0)
    | element_of_collection(f13(a,cx,ct,f20(sF0,X1)),top_of_basis(X0))
    | ~ topological_space(sF0,X1)
    | hausdorff(sF0,X1) ) ).

cnf(u9552,negated_conjecture,
    ( element_of_set(X7,interior(f14(f13(a,cx,X0,f11(subspace_topology(X1,X2,X3),interior(a,cx,X0))),X4,X5,X6),cx,X0))
    | element_of_set(f11(X0,a),a)
    | ~ subset_sets(f14(f13(a,cx,X0,f11(subspace_topology(X1,X2,X3),interior(a,cx,X0))),X4,X5,X6),cx)
    | ~ element_of_set(X7,f13(a,cx,X0,f11(subspace_topology(X1,X2,X3),interior(a,cx,X0))))
    | subset_sets(X3,X1)
    | ~ topological_space(cx,X0)
    | element_of_set(X6,closure(f13(a,cx,X0,f11(subspace_topology(X1,X2,X3),interior(a,cx,X0))),X4,X5))
    | ~ subset_sets(f13(a,cx,X0,f11(subspace_topology(X1,X2,X3),interior(a,cx,X0))),X4)
    | ~ topological_space(X4,X5) ) ).

cnf(u1005,negated_conjecture,
    ( element_of_set(f11(X4,f13(a,cx,ct,f19(closure(X2,X0,X1),X3))),sF0)
    | ~ subset_sets(X2,sF0)
    | ~ topological_space(closure(X2,X0,X1),X3)
    | hausdorff(closure(X2,X0,X1),X3)
    | ~ closed(sF0,X0,X1)
    | element_of_collection(f13(a,cx,ct,f19(closure(X2,X0,X1),X3)),top_of_basis(X4)) ) ).

cnf(u6935,axiom,
    ( element_of_set(f19(f13(a,cx,ct,f20(sF0,X0)),X1),union_of_members(ct))
    | ~ topological_space(sF0,X0)
    | hausdorff(sF0,X0)
    | ~ topological_space(f13(a,cx,ct,f20(sF0,X0)),X1)
    | hausdorff(f13(a,cx,ct,f20(sF0,X0)),X1) ) ).

cnf(u1202,axiom,
    ( element_of_collection(f12(X2,X3,X4,f13(X0,X1,subspace_topology(X2,X3,X4),f20(interior(X0,X1,subspace_topology(X2,X3,X4)),X5))),X3)
    | hausdorff(interior(X0,X1,subspace_topology(X2,X3,X4)),X5)
    | ~ topological_space(interior(X0,X1,subspace_topology(X2,X3,X4)),X5) ) ).

cnf(u4117,axiom,
    ( element_of_set(f11(subspace_topology(X1,X2,X0),X3),X3)
    | element_of_collection(X3,top_of_basis(X4))
    | subset_sets(X0,X1) ) ).

cnf(u4008,negated_conjecture,
    ( element_of_set(f19(f13(a,cx,ct,f20(sF0,X1)),X2),union_of_members(top_of_basis(X0)))
    | element_of_set(f11(X0,sF0),sF0)
    | ~ topological_space(sF0,X1)
    | hausdorff(sF0,X1)
    | ~ topological_space(f13(a,cx,ct,f20(sF0,X1)),X2)
    | hausdorff(f13(a,cx,ct,f20(sF0,X1)),X2) ) ).

cnf(u1651,negated_conjecture,
    ( ~ subset_sets(a,f14(X1,cx,ct,X2))
    | ~ topological_space(sF1,X0)
    | element_of_set(f7(sF1,X0),f14(X1,cx,ct,X2))
    | basis(sF1,X0)
    | ~ subset_sets(X1,a)
    | ~ subset_sets(X1,cx)
    | element_of_set(X2,a) ) ).

cnf(u3936,axiom,
    ( ~ closed(sF1,X0,X1)
    | element_of_collection(boundary(X2,X0,X1),top_of_basis(X3))
    | ~ subset_sets(X2,sF1)
    | ~ subset_sets(a,X4)
    | ~ closed(X4,cx,ct)
    | element_of_set(f11(X3,boundary(X2,X0,X1)),X4) ) ).

cnf(u3719,axiom,
    ( ~ closed(closure(X3,X4,X5),X8,X9)
    | element_of_set(f11(subspace_topology(X0,X1,X2),closure(X3,X4,X5)),X6)
    | ~ closed(X6,X4,X5)
    | ~ subset_sets(X3,X6)
    | ~ topological_space(closure(X7,X8,X9),X10)
    | ~ subset_sets(X7,closure(X3,X4,X5))
    | topological_space(X0,X1)
    | basis(closure(X7,X8,X9),X10) ) ).

cnf(neighborhood_62,axiom,
    ( neighborhood(X0,X1,X2,X3)
    | ~ topological_space(X2,X3)
    | ~ open(X0,X2,X3)
    | ~ element_of_set(X1,X0) ) ).

cnf(u1643,axiom,
    ( ~ closed(boundary(X4,X5,X6),X1,X2)
    | ~ subset_sets(X0,boundary(X4,X5,X6))
    | ~ topological_space(closure(X0,X1,X2),X3)
    | basis(closure(X0,X1,X2),X3)
    | topological_space(X5,X6) ) ).

cnf(u8337,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X4,X5,X3),f10(X1,f13(a,cx,ct,X2),X0)),f10(X1,f13(a,cx,ct,X2),X0))
    | ~ element_of_set(X0,f13(a,cx,ct,X2))
    | ~ element_of_set(X2,sF0)
    | subset_sets(X3,X4)
    | element_of_set(f11(X1,f13(a,cx,ct,X2)),sF0) ) ).

cnf(limit_point_66,axiom,
    ( ~ eq_p(f15(X0,X1,X2,X3,X4),X0)
    | ~ neighborhood(X4,X0,X2,X3)
    | ~ limit_point(X0,X1,X2,X3) ) ).

cnf(u740,negated_conjecture,
    ( element_of_set(f7(X1,X0),union_of_members(ct))
    | basis(X1,X0)
    | ~ equal_sets(union_of_members(X0),X1)
    | ~ element_of_collection(f9(X1,X0),ct)
    | ~ element_of_collection(f8(X1,X0),ct) ) ).

cnf(u3538,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X1,X2,X0),sF1),sF1)
    | subset_sets(X0,X1) ) ).

cnf(u7331,axiom,
    ( ~ element_of_set(X10,f13(X0,X1,top_of_basis(subspace_topology(X2,X3,X4)),f11(X5,closure(X6,X7,X8))))
    | ~ subset_sets(X6,interior(X0,X1,top_of_basis(subspace_topology(X2,X3,X4))))
    | ~ element_of_set(X9,closure(X6,X7,X8))
    | ~ closed(interior(X0,X1,top_of_basis(subspace_topology(X2,X3,X4))),X7,X8)
    | element_of_set(X9,f10(X5,closure(X6,X7,X8),X9))
    | topological_space(X2,X3) ) ).

cnf(u2563,axiom,
    ( ~ closed(closure(X3,X4,X5),X8,X9)
    | element_of_set(f11(subspace_topology(X1,X2,X0),closure(X3,X4,X5)),X6)
    | ~ closed(X6,X4,X5)
    | ~ subset_sets(X3,X6)
    | hausdorff(closure(X7,X8,X9),X10)
    | ~ subset_sets(X7,closure(X3,X4,X5))
    | subset_sets(X0,X1)
    | ~ topological_space(closure(X7,X8,X9),X10) ) ).

cnf(u6826,negated_conjecture,
    ( element_of_set(X4,interior(f14(f13(a,cx,ct,f19(sF0,X2)),X0,X1,X3),cx,ct))
    | ~ subset_sets(f13(a,cx,ct,f19(sF0,X2)),sF1)
    | ~ subset_sets(f13(a,cx,ct,f19(sF0,X2)),X0)
    | ~ topological_space(sF0,X2)
    | ~ subset_sets(f14(f13(a,cx,ct,f19(sF0,X2)),X0,X1,X3),cx)
    | ~ element_of_set(X4,f13(a,cx,ct,f19(sF0,X2)))
    | hausdorff(sF0,X2)
    | ~ closed(sF1,X0,X1) ) ).

cnf(u7466,axiom,
    ( element_of_set(f11(X0,f1(ct,X1)),union_of_members(ct))
    | element_of_set(X2,f10(X0,f1(ct,X1),X2))
    | ~ element_of_set(X1,sF0)
    | ~ element_of_set(X2,f1(ct,X1)) ) ).

cnf(u501,axiom,
    ( element_of_set(X7,interior(f14(f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),X4,X5,X6),X1,X2))
    | ~ subset_sets(f14(f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),X4,X5,X6),X1)
    | ~ element_of_set(X7,f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)))
    | hausdorff(interior(X0,X1,X2),X3)
    | ~ topological_space(interior(X0,X1,X2),X3)
    | element_of_set(X6,closure(f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),X4,X5))
    | ~ subset_sets(f13(X0,X1,X2,f20(interior(X0,X1,X2),X3)),X4)
    | ~ topological_space(X4,X5) ) ).

cnf(u10324,negated_conjecture,
    ( ~ element_of_set(X2,X0)
    | element_of_set(X2,interior(a,a,X1)) ) ).

cnf(u356,axiom,
    ( ~ element_of_collection(f13(f13(a,cx,ct,X0),X1,X2,f19(interior(f13(a,cx,ct,X0),X1,X2),X3)),X4)
    | ~ topological_space(interior(f13(a,cx,ct,X0),X1,X2),X3)
    | ~ topological_space(a,X4)
    | ~ element_of_set(X5,f13(f13(a,cx,ct,X0),X1,X2,f19(interior(f13(a,cx,ct,X0),X1,X2),X3)))
    | hausdorff(interior(f13(a,cx,ct,X0),X1,X2),X3)
    | element_of_set(X5,interior(f13(a,cx,ct,X0),a,X4))
    | ~ element_of_set(X0,sF0) ) ).

cnf(u8177,negated_conjecture,
    ( ~ subset_sets(f10(ct,a,f11(X0,X1)),X1)
    | element_of_collection(X1,top_of_basis(X0))
    | ~ element_of_collection(f10(ct,a,f11(X0,X1)),X0)
    | ~ element_of_set(f11(X0,X1),a) ) ).

cnf(u8262,negated_conjecture,
    ( ~ element_of_set(f11(X0,X1),a)
    | ~ topological_space(cx,X2)
    | element_of_set(f11(X2,a),a)
    | element_of_collection(X1,top_of_basis(X0))
    | ~ element_of_collection(union_of_members(X2),X0)
    | ~ subset_sets(union_of_members(X2),X1) ) ).

cnf(u9686,negated_conjecture,
    ( element_of_set(f11(X1,boundary(X0,cx,ct)),union_of_members(top_of_basis(X2)))
    | ~ subset_sets(X0,a)
    | element_of_set(f11(X2,sF0),sF0)
    | element_of_collection(boundary(X0,cx,ct),top_of_basis(X1)) ) ).

cnf(u335,axiom,
    ( element_of_collection(f1(X0,f7(union_of_members(X0),X1)),X0)
    | ~ topological_space(union_of_members(X0),X1)
    | basis(union_of_members(X0),X1) ) ).

cnf(u3603,axiom,
    ( ~ closed(f13(X4,X5,X6,f20(closure(X7,X8,X9),X10)),X2,X3)
    | element_of_collection(boundary(X1,X2,X3),top_of_basis(X0))
    | ~ subset_sets(X1,f13(X4,X5,X6,f20(closure(X7,X8,X9),X10)))
    | ~ topological_space(closure(X7,X8,X9),X10)
    | hausdorff(closure(X7,X8,X9),X10)
    | ~ closed(interior(X4,X5,X6),X8,X9)
    | ~ subset_sets(X7,interior(X4,X5,X6))
    | element_of_set(f11(X0,boundary(X1,X2,X3)),interior(X4,X5,X6)) ) ).

cnf(u11702,axiom,
    ( limit_point(X0,X4,X5,X6)
    | open(f13(X1,X2,X3,X0),X2,X3) ) ).

cnf(u7175,axiom,
    ( element_of_set(f11(subspace_topology(X9,X10,X8),f13(X4,X5,X6,f11(X0,closure(X1,X2,X3)))),f13(X4,X5,X6,f11(X0,closure(X1,X2,X3))))
    | element_of_set(X7,f10(X0,closure(X1,X2,X3),X7))
    | ~ subset_sets(X1,interior(X4,X5,X6))
    | ~ element_of_set(X7,closure(X1,X2,X3))
    | subset_sets(X8,X9)
    | ~ closed(interior(X4,X5,X6),X2,X3) ) ).

cnf(u8093,negated_conjecture,
    ( element_of_set(f11(X0,f13(a,cx,ct,X1)),sF0)
    | ~ element_of_set(X1,a)
    | element_of_collection(f13(a,cx,ct,X1),top_of_basis(X0)) ) ).

cnf(u8235,negated_conjecture,
    ( element_of_set(f20(f13(a,cx,X1,X0),X2),union_of_members(X1))
    | ~ topological_space(cx,X1)
    | element_of_set(f11(X1,a),a)
    | ~ element_of_set(X0,a)
    | ~ topological_space(f13(a,cx,X1,X0),X2)
    | hausdorff(f13(a,cx,X1,X0),X2) ) ).

cnf(u3828,axiom,
    ( ~ closed(f1(X1,X3),X6,X7)
    | ~ subset_sets(X2,X0)
    | limit_point(X3,X2,X0,X1)
    | element_of_set(f11(X4,boundary(X5,X6,X7)),union_of_members(X1))
    | element_of_collection(boundary(X5,X6,X7),top_of_basis(X4))
    | ~ topological_space(X0,X1)
    | ~ subset_sets(X5,f1(X1,X3)) ) ).

cnf(u1631,negated_conjecture,
    ( ~ closed(f13(a,cx,ct,f20(closure(X4,X5,X6),X7)),X1,X2)
    | ~ subset_sets(X0,f13(a,cx,ct,f20(closure(X4,X5,X6),X7)))
    | ~ topological_space(closure(X0,X1,X2),X3)
    | basis(closure(X0,X1,X2),X3)
    | ~ closed(sF0,X5,X6)
    | ~ subset_sets(X4,sF0)
    | ~ topological_space(closure(X4,X5,X6),X7)
    | hausdorff(closure(X4,X5,X6),X7)
    | element_of_set(f7(closure(X0,X1,X2),X3),sF0) ) ).

cnf(u993,axiom,
    ( ~ element_of_collection(f13(f13(a,cx,ct,X1),X2,X3,f19(closure(X0,X4,X5),X6)),X7)
    | ~ closed(interior(f13(a,cx,ct,X1),X2,X3),X4,X5)
    | ~ topological_space(closure(X0,X4,X5),X6)
    | hausdorff(closure(X0,X4,X5),X6)
    | ~ topological_space(a,X7)
    | ~ element_of_set(X8,f13(f13(a,cx,ct,X1),X2,X3,f19(closure(X0,X4,X5),X6)))
    | ~ subset_sets(X0,interior(f13(a,cx,ct,X1),X2,X3))
    | element_of_set(X8,interior(f13(a,cx,ct,X1),a,X7))
    | ~ element_of_set(X1,sF0) ) ).

cnf(u1758,axiom,
    ( ~ element_of_set(X0,f21(X1,top_of_basis(subspace_topology(X2,X3,X4))))
    | subset_sets(X4,X2)
    | connected_space(X1,top_of_basis(subspace_topology(X2,X3,X4)))
    | ~ topological_space(X1,top_of_basis(subspace_topology(X2,X3,X4))) ) ).

cnf(u1519,axiom,
    ( ~ 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)) ) ).

cnf(u1091,negated_conjecture,
    ( ~ subset_sets(a,f14(a,cx,ct,f11(X0,X1)))
    | element_of_collection(X1,top_of_basis(X0))
    | ~ subset_sets(sF1,X1)
    | ~ element_of_set(X2,sF1)
    | ~ element_of_collection(sF1,X0)
    | element_of_set(f11(X3,sF1),f14(a,cx,ct,f11(X0,X1)))
    | element_of_set(X2,union_of_members(top_of_basis(X3))) ) ).

cnf(u741,axiom,
    ( ~ element_of_set(X2,X0)
    | element_of_set(f11(X1,X0),X0)
    | element_of_set(X2,union_of_members(top_of_basis(X1))) ) ).

cnf(u9929,axiom,
    ( element_of_set(f11(subspace_topology(X0,X1,X2),f16(X3,X4,X5,X6)),f16(X3,X4,X5,X6))
    | topological_space(X0,X1)
    | ~ subset_sets(X4,X5)
    | limit_point(X3,X4,X5,X6)
    | ~ topological_space(X5,X6) ) ).

cnf(u9851,negated_conjecture,
    ( element_of_collection(f13(a,cx,X0,f19(f13(a,cx,X0,X1),X2)),X0)
    | element_of_set(f11(X0,a),a)
    | ~ topological_space(f13(a,cx,X0,X1),X2)
    | hausdorff(f13(a,cx,X0,X1),X2)
    | ~ element_of_set(X1,a)
    | ~ topological_space(cx,X0) ) ).

cnf(u623,negated_conjecture,
    ( element_of_set(f15(X2,X0,X3,X4,X1),f1(ct,f15(X2,X0,X3,X4,X1)))
    | ~ element_of_collection(X1,ct)
    | ~ neighborhood(X1,X2,X3,X4)
    | ~ limit_point(X2,X0,X3,X4)
    | ~ element_of_collection(X0,ct) ) ).

cnf(u7010,axiom,
    ( element_of_set(X0,f10(X4,f16(X1,X2,X3,top_of_basis(X4)),X0))
    | ~ element_of_set(X0,f16(X1,X2,X3,top_of_basis(X4)))
    | limit_point(X1,X2,X3,top_of_basis(X4))
    | ~ topological_space(X3,top_of_basis(X4))
    | ~ subset_sets(X2,X3) ) ).

cnf(u7362,negated_conjecture,
    ( ~ closed(boundary(X2,X0,X1),X4,X5)
    | ~ subset_sets(X2,sF0)
    | hausdorff(closure(X3,X4,X5),X6)
    | ~ subset_sets(X3,boundary(X2,X0,X1))
    | ~ closed(sF0,X0,X1)
    | ~ topological_space(closure(X3,X4,X5),X6) ) ).

cnf(u1066,negated_conjecture,
    ( element_of_set(f11(X0,f13(a,cx,ct,f7(sF0,X1))),sF0)
    | basis(sF0,X1)
    | ~ topological_space(sF0,X1)
    | element_of_collection(f13(a,cx,ct,f7(sF0,X1)),top_of_basis(X0)) ) ).

cnf(u10027,axiom,
    ( element_of_set(f11(subspace_topology(X0,X1,X2),f13(X3,X4,X5,f20(interior(X3,X4,X5),X6))),f13(X3,X4,X5,f20(interior(X3,X4,X5),X6)))
    | topological_space(X0,X1)
    | hausdorff(interior(X3,X4,X5),X6)
    | ~ topological_space(interior(X3,X4,X5),X6) ) ).

cnf(u4058,negated_conjecture,
    ( element_of_set(f20(f10(X0,a,X1),X2),interior(a,cx,X0))
    | ~ element_of_collection(a,top_of_basis(X0))
    | ~ element_of_set(X1,a)
    | ~ topological_space(cx,X0)
    | ~ topological_space(f10(X0,a,X1),X2)
    | hausdorff(f10(X0,a,X1),X2) ) ).

cnf(u4098,axiom,
    ( element_of_set(f11(subspace_topology(X1,X2,X0),f1(X3,X4)),f1(X3,X4))
    | limit_point(X4,X5,X6,X3)
    | subset_sets(X0,X1)
    | ~ topological_space(X6,X3)
    | ~ subset_sets(X5,X6) ) ).

cnf(u1566,axiom,
    ( element_of_set(f19(f16(X3,X2,X0,X1),X4),union_of_members(X1))
    | ~ subset_sets(X2,X0)
    | limit_point(X3,X2,X0,X1)
    | ~ topological_space(X0,X1)
    | ~ topological_space(f16(X3,X2,X0,X1),X4)
    | hausdorff(f16(X3,X2,X0,X1),X4) ) ).

cnf(u7023,negated_conjecture,
    ( ~ closed(f1(ct,X4),X2,X3)
    | ~ element_of_set(X5,closure(X1,X2,X3))
    | element_of_set(X5,f10(X0,closure(X1,X2,X3),X5))
    | ~ subset_sets(X1,f1(ct,X4))
    | ~ element_of_set(X4,cx)
    | element_of_set(f11(X0,closure(X1,X2,X3)),union_of_members(ct)) ) ).

cnf(u8356,axiom,
    ( open(f13(a,cx,ct,f11(X1,sF0)),cx,ct)
    | element_of_set(X0,f10(X1,sF0,X0))
    | ~ element_of_set(X0,sF0) ) ).

cnf(u1220,axiom,
    ( element_of_collection(union_of_members(subspace_topology(X2,X3,intersection_of_sets(X0,X1))),subspace_topology(X4,X5,X0))
    | ~ subset_sets(X0,X4)
    | ~ element_of_collection(X1,X5)
    | ~ connected_set(intersection_of_sets(X0,X1),X2,X3)
    | ~ topological_space(X4,X5) ) ).

cnf(u3859,negated_conjecture,
    ( element_of_set(X3,interior(a,cx,subspace_topology(X1,X2,f13(a,cx,ct,X0))))
    | ~ element_of_set(X3,f13(a,cx,ct,X0))
    | ~ topological_space(cx,subspace_topology(X1,X2,f13(a,cx,ct,X0)))
    | ~ compact_set(f13(a,cx,ct,X0),X1,X2)
    | ~ element_of_set(X0,sF0) ) ).

cnf(u7032,negated_conjecture,
    ( ~ closed(f10(X4,a,X5),X2,X3)
    | ~ element_of_set(X6,closure(X1,X2,X3))
    | element_of_set(X6,f10(X0,closure(X1,X2,X3),X6))
    | ~ subset_sets(X1,f10(X4,a,X5))
    | ~ topological_space(cx,X4)
    | ~ element_of_collection(a,top_of_basis(X4))
    | ~ element_of_set(X5,a)
    | element_of_set(f11(X0,closure(X1,X2,X3)),interior(a,cx,X4)) ) ).

cnf(closure_58,axiom,
    ( ~ element_of_set(X0,f14(X1,X2,X3,X0))
    | ~ topological_space(X2,X3)
    | ~ subset_sets(X1,X2)
    | element_of_set(X0,closure(X1,X2,X3)) ) ).

cnf(u6960,axiom,
    ( ~ element_of_set(X6,f13(X0,X1,top_of_basis(subspace_topology(X2,X3,X4)),f11(X5,interior(X0,X1,top_of_basis(subspace_topology(X2,X3,X4))))))
    | element_of_collection(interior(X0,X1,top_of_basis(subspace_topology(X2,X3,X4))),top_of_basis(X5))
    | topological_space(X2,X3) ) ).

cnf(u7501,axiom,
    ( element_of_set(f11(X0,f13(X1,X2,X3,f7(closure(X4,X5,X6),X7))),interior(X1,X2,X3))
    | element_of_set(X8,f10(X0,f13(X1,X2,X3,f7(closure(X4,X5,X6),X7)),X8))
    | basis(closure(X4,X5,X6),X7)
    | ~ topological_space(closure(X4,X5,X6),X7)
    | ~ closed(interior(X1,X2,X3),X5,X6)
    | ~ subset_sets(X4,interior(X1,X2,X3))
    | ~ element_of_set(X8,f13(X1,X2,X3,f7(closure(X4,X5,X6),X7))) ) ).

cnf(u4030,negated_conjecture,
    ( element_of_set(f11(X0,f14(a,cx,ct,X1)),f14(a,cx,ct,X1))
    | element_of_set(f20(sF1,X2),union_of_members(top_of_basis(X0)))
    | hausdorff(sF1,X2)
    | element_of_set(X1,sF1)
    | ~ topological_space(sF1,X2) ) ).

cnf(u273,axiom,
    ( ~ topological_space(closure(X0,X1,X2),X3)
    | hausdorff(closure(X0,X1,X2),X3)
    | subset_sets(X0,X1) ) ).

cnf(u4102,axiom,
    ( element_of_set(f11(subspace_topology(X1,X2,X0),f13(a,cx,ct,X3)),f13(a,cx,ct,X3))
    | subset_sets(X0,X1)
    | ~ element_of_set(X3,sF0) ) ).

cnf(u421,axiom,
    ( ~ open(f16(X3,X2,X0,X1),X4,X5)
    | ~ subset_sets(X2,X0)
    | limit_point(X3,X2,X0,X1)
    | ~ limit_point(X3,X2,X4,X5)
    | ~ topological_space(X0,X1) ) ).

cnf(u9609,negated_conjecture,
    ( ~ element_of_set(X3,f13(a,cx,X2,f11(subspace_topology(X1,X4,X0),interior(a,cx,X2))))
    | element_of_set(f11(X2,a),sF0)
    | ~ topological_space(cx,X2)
    | subset_sets(X0,X1)
    | element_of_set(X3,interior(a,cx,X2)) ) ).

cnf(u1644,axiom,
    ( element_of_set(f7(closure(X0,X1,X2),X3),closure(X4,X5,X6))
    | ~ subset_sets(X0,boundary(X4,X5,X6))
    | ~ closed(boundary(X4,X5,X6),X1,X2)
    | basis(closure(X0,X1,X2),X3)
    | ~ topological_space(closure(X0,X1,X2),X3) ) ).

cnf(u11504,negated_conjecture,
    ( limit_point(X0,X2,X3,X4)
    | element_of_set(X0,f13(a,sF0,X1,X0)) ) ).

cnf(u7379,negated_conjecture,
    ( element_of_set(X7,interior(f14(f13(a,cx,ct,f7(sF0,X0)),X1,X2,f11(X6,f14(closure(f13(a,cx,ct,f7(sF0,X0)),X1,X2),X3,X4,X5))),cx,ct))
    | ~ element_of_collection(closure(f13(a,cx,ct,f7(sF0,X0)),X1,X2),X6)
    | ~ subset_sets(f13(a,cx,ct,f7(sF0,X0)),X1)
    | ~ topological_space(X1,X2)
    | element_of_set(X5,closure(closure(f13(a,cx,ct,f7(sF0,X0)),X1,X2),X3,X4))
    | ~ subset_sets(closure(f13(a,cx,ct,f7(sF0,X0)),X1,X2),X3)
    | ~ topological_space(X3,X4)
    | basis(sF0,X0)
    | ~ subset_sets(f14(f13(a,cx,ct,f7(sF0,X0)),X1,X2,f11(X6,f14(closure(f13(a,cx,ct,f7(sF0,X0)),X1,X2),X3,X4,X5))),cx)
    | ~ element_of_set(X7,f13(a,cx,ct,f7(sF0,X0)))
    | ~ topological_space(sF0,X0)
    | element_of_collection(f14(closure(f13(a,cx,ct,f7(sF0,X0)),X1,X2),X3,X4,X5),top_of_basis(X6)) ) ).

cnf(u3646,negated_conjecture,
    ( element_of_set(f19(f13(a,cx,ct,f11(X3,boundary(X0,X1,X2))),X4),sF0)
    | ~ closed(sF0,X1,X2)
    | element_of_collection(boundary(X0,X1,X2),top_of_basis(X3))
    | ~ subset_sets(X0,sF0)
    | ~ topological_space(f13(a,cx,ct,f11(X3,boundary(X0,X1,X2))),X4)
    | hausdorff(f13(a,cx,ct,f11(X3,boundary(X0,X1,X2))),X4) ) ).

cnf(u7117,axiom,
    ( ~ subset_sets(f10(X2,closure(X3,X4,X5),f11(X0,X1)),X1)
    | ~ closed(interior(X6,X7,X8),X4,X5)
    | ~ subset_sets(X3,interior(X6,X7,X8))
    | ~ element_of_set(f11(X0,X1),closure(X3,X4,X5))
    | element_of_collection(X1,top_of_basis(X0))
    | ~ element_of_collection(f10(X2,closure(X3,X4,X5),f11(X0,X1)),X0)
    | subset_sets(f13(X6,X7,X8,f11(X2,closure(X3,X4,X5))),X6) ) ).

cnf(subspace_topology_43,axiom,
    ( ~ element_of_collection(X0,subspace_topology(X1,X2,X3))
    | subset_sets(X3,X1) ) ).

cnf(u11730,negated_conjecture,
    basis(X0,X1) ).

cnf(u1461,axiom,
    ( ~ closed(f13(X0,X1,X2,f11(X3,interior(X0,X1,X2))),X6,X7)
    | element_of_set(f11(X4,closure(X5,X6,X7)),interior(X0,X1,X2))
    | element_of_collection(closure(X5,X6,X7),top_of_basis(X4))
    | element_of_collection(interior(X0,X1,X2),top_of_basis(X3))
    | ~ subset_sets(X5,f13(X0,X1,X2,f11(X3,interior(X0,X1,X2)))) ) ).

cnf(u3861,negated_conjecture,
    ( element_of_set(X3,interior(a,cx,subspace_topology(X1,X2,f13(a,cx,ct,f19(sF0,X0)))))
    | ~ topological_space(sF0,X0)
    | ~ topological_space(cx,subspace_topology(X1,X2,f13(a,cx,ct,f19(sF0,X0))))
    | ~ element_of_set(X3,f13(a,cx,ct,f19(sF0,X0)))
    | hausdorff(sF0,X0)
    | ~ compact_set(f13(a,cx,ct,f19(sF0,X0)),X1,X2) ) ).

cnf(u3574,axiom,
    ( ~ closed(f1(ct,X4),X2,X3)
    | element_of_collection(boundary(X1,X2,X3),top_of_basis(X0))
    | ~ subset_sets(X1,f1(ct,X4))
    | ~ element_of_set(X4,sF0)
    | element_of_set(f11(X0,boundary(X1,X2,X3)),union_of_members(ct)) ) ).

cnf(u1636,axiom,
    ( closed(f14(relative_complement_sets(X4,X5),X5,X6,f7(closure(X0,X1,X2),X3)),X5,X6)
    | ~ subset_sets(X0,closure(X4,X5,X6))
    | ~ closed(closure(X4,X5,X6),X1,X2)
    | basis(closure(X0,X1,X2),X3)
    | element_of_set(f7(closure(X0,X1,X2),X3),boundary(X4,X5,X6))
    | ~ topological_space(closure(X0,X1,X2),X3)
    | ~ subset_sets(relative_complement_sets(X4,X5),X5) ) ).

cnf(u10150,negated_conjecture,
    ( element_of_set(f11(subspace_topology(X0,X1,X2),interior(a,sF0,X3)),interior(a,sF0,X3))
    | ~ topological_space(sF0,X3)
    | ~ topological_space(cx,X3)
    | topological_space(X0,X1) ) ).

cnf(u906,axiom,
    ( element_of_collection(f13(X0,X1,X2,f11(X6,closure(X5,X3,X4))),X2)
    | ~ subset_sets(X5,interior(X0,X1,X2))
    | element_of_collection(closure(X5,X3,X4),top_of_basis(X6))
    | ~ closed(interior(X0,X1,X2),X3,X4) ) ).

cnf(u1083,negated_conjecture,
    ( ~ subset_sets(interior(f14(f13(a,cx,ct,X1),cx,ct,X0),cx,ct),X3)
    | ~ subset_sets(f14(f13(a,cx,ct,X1),cx,ct,X0),cx)
    | ~ element_of_set(f11(X2,X3),f13(a,cx,ct,X1))
    | ~ element_of_set(X1,sF0)
    | ~ subset_sets(f13(a,cx,ct,X1),cx)
    | element_of_collection(X3,top_of_basis(X2))
    | ~ element_of_collection(interior(f14(f13(a,cx,ct,X1),cx,ct,X0),cx,ct),X2)
    | element_of_set(X0,a) ) ).

cnf(u10831,negated_conjecture,
    ( element_of_set(f20(boundary(X0,X1,X2),X3),interior(a,a,X4))
    | hausdorff(boundary(X0,X1,X2),X3) ) ).

cnf(u3563,axiom,
    ( element_of_set(f19(closure(X0,X1,X2),subspace_topology(X3,X4,closure(X0,X1,X2))),X5)
    | hausdorff(closure(X0,X1,X2),subspace_topology(X3,X4,closure(X0,X1,X2)))
    | ~ closed(sF1,X1,X2)
    | ~ subset_sets(a,X5)
    | ~ closed(X5,cx,ct)
    | ~ subset_sets(X0,sF1)
    | ~ connected_set(closure(X0,X1,X2),X3,X4) ) ).

cnf(u8162,negated_conjecture,
    ( element_of_set(f7(f13(a,cx,ct,X0),X1),union_of_members(top_of_basis(X2)))
    | basis(f13(a,cx,ct,X0),X1)
    | ~ topological_space(f13(a,cx,ct,X0),X1)
    | element_of_set(f11(X2,sF0),sF0)
    | ~ element_of_set(X0,a) ) ).

cnf(u7135,axiom,
    ( ~ topological_space(f13(X0,X1,X2,f11(X7,closure(X5,X3,X4))),X8)
    | ~ subset_sets(X5,interior(X0,X1,X2))
    | ~ element_of_set(X6,closure(X5,X3,X4))
    | element_of_set(X6,f10(X7,closure(X5,X3,X4),X6))
    | element_of_set(f19(f13(X0,X1,X2,f11(X7,closure(X5,X3,X4))),X8),interior(X0,X1,X2))
    | ~ closed(interior(X0,X1,X2),X3,X4)
    | hausdorff(f13(X0,X1,X2,f11(X7,closure(X5,X3,X4))),X8) ) ).

cnf(u11448,axiom,
    ( element_of_set(f19(boundary(X0,X1,X2),X3),interior(X4,X5,X6))
    | hausdorff(boundary(X0,X1,X2),X3) ) ).

cnf(u172,negated_conjecture,
    ( ~ subset_sets(X0,a)
    | ~ topological_space(cx,X1)
    | ~ element_of_set(X2,X0)
    | ~ element_of_collection(X0,X1)
    | element_of_set(X2,interior(a,cx,X1)) ) ).

cnf(u7063,axiom,
    ( ~ closed(closure(X4,X5,X6),X2,X3)
    | ~ element_of_set(X7,closure(X1,X2,X3))
    | element_of_set(X7,f10(X0,closure(X1,X2,X3),X7))
    | ~ subset_sets(X1,closure(X4,X5,X6))
    | topological_space(X5,X6) ) ).

cnf(u619,negated_conjecture,
    ( ~ subset_sets(f14(f13(a,cx,ct,X0),cx,ct,X1),cx)
    | element_of_set(X2,a)
    | ~ subset_sets(f13(a,cx,ct,X0),cx)
    | element_of_set(X1,f14(f13(a,cx,ct,X0),cx,ct,X2))
    | ~ element_of_set(X3,f13(a,cx,ct,X0))
    | ~ element_of_set(X0,sF0)
    | element_of_set(X3,interior(f14(f13(a,cx,ct,X0),cx,ct,X1),cx,ct)) ) ).

cnf(u8018,axiom,
    ( ~ element_of_set(f7(X0,X1),f13(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2,X3,f11(X4,interior(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2,X3))))
    | ~ element_of_set(X5,interior(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2,X3))
    | ~ equal_sets(union_of_members(X1),X0)
    | element_of_set(X5,f10(X4,interior(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2,X3),X5))
    | ~ element_of_collection(f13(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2,X3,f11(X4,interior(intersection_of_sets(f8(X0,X1),f9(X0,X1)),X2,X3))),X1)
    | basis(X0,X1) ) ).

cnf(interior_51,axiom,
    ( ~ element_of_set(X0,interior(X1,X2,X3))
    | open(f13(X1,X2,X3,X0),X2,X3) ) ).

cnf(u1212,axiom,
    ( element_of_collection(f12(X2,X3,X4,f13(X0,X1,subspace_topology(X2,X3,X4),f19(interior(X0,X1,subspace_topology(X2,X3,X4)),X5))),X3)
    | hausdorff(interior(X0,X1,subspace_topology(X2,X3,X4)),X5)
    | ~ topological_space(interior(X0,X1,subspace_topology(X2,X3,X4)),X5) ) ).

cnf(u726,negated_conjecture,
    ( element_of_set(X5,interior(f14(f13(X0,X1,X2,f20(sF1,X3)),cx,ct,X4),X1,X2))
    | ~ topological_space(sF1,X3)
    | hausdorff(sF1,X3)
    | ~ subset_sets(f14(f13(X0,X1,X2,f20(sF1,X3)),cx,ct,X4),X1)
    | ~ element_of_set(X5,f13(X0,X1,X2,f20(sF1,X3)))
    | ~ subset_sets(a,interior(X0,X1,X2))
    | ~ closed(interior(X0,X1,X2),cx,ct)
    | ~ subset_sets(f13(X0,X1,X2,f20(sF1,X3)),a)
    | ~ subset_sets(f13(X0,X1,X2,f20(sF1,X3)),cx)
    | element_of_set(X4,a) ) ).

cnf(u8352,axiom,
    ( element_of_set(f11(subspace_topology(X6,X7,X5),f10(X1,interior(X2,X3,X4),X0)),f10(X1,interior(X2,X3,X4),X0))
    | open(f13(X2,X3,X4,f11(X1,interior(X2,X3,X4))),X3,X4)
    | subset_sets(X5,X6)
    | ~ element_of_set(X0,interior(X2,X3,X4)) ) ).

cnf(u1637,axiom,
    ( ~ closed(closure(X4,X5,X6),X1,X2)
    | ~ subset_sets(X0,closure(X4,X5,X6))
    | ~ topological_space(closure(X0,X1,X2),X3)
    | basis(closure(X0,X1,X2),X3)
    | topological_space(X5,X6) ) ).

cnf(u11407,axiom,
    ( element_of_set(f15(X0,X1,X2,X3,X4),interior(X5,X6,X7))
    | ~ neighborhood(X4,X0,X2,X3)
    | ~ limit_point(X0,X1,X2,X3) ) ).

cnf(u9207,negated_conjecture,
    ( ~ element_of_set(X4,f13(a,cx,top_of_basis(subspace_topology(X0,X1,X2)),X3))
    | ~ element_of_set(X3,a)
    | ~ topological_space(cx,top_of_basis(subspace_topology(X0,X1,X2)))
    | element_of_set(f11(top_of_basis(subspace_topology(X0,X1,X2)),a),sF0)
    | topological_space(X0,X1) ) ).

cnf(u9061,negated_conjecture,
    ( element_of_set(f11(X0,a),union_of_members(top_of_basis(X1)))
    | element_of_set(f11(X1,sF0),sF0)
    | element_of_collection(a,top_of_basis(X0)) ) ).

cnf(u600,negated_conjecture,
    ( ~ topological_space(f14(X0,cx,ct,X1),X4)
    | ~ subset_sets(X0,a)
    | element_of_set(X2,a)
    | ~ subset_sets(X0,cx)
    | ~ element_of_collection(X3,X4)
    | element_of_set(X1,f14(X0,cx,ct,X2))
    | ~ element_of_set(X5,X3)
    | ~ subset_sets(X3,X0)
    | element_of_set(X5,interior(X0,f14(X0,cx,ct,X1),X4)) ) ).

cnf(u1366,negated_conjecture,
    ( element_of_collection(f13(a,cx,ct,f7(sF0,X0)),top_of_basis(X1))
    | ~ topological_space(sF0,X0)
    | basis(sF0,X0)
    | ~ element_of_collection(sF0,X1)
    | ~ subset_sets(sF0,f13(a,cx,ct,f7(sF0,X0))) ) ).

cnf(u748,axiom,
    ( eq_p(f11(X0,intersection_of_sets(f16(X1,X2,X3,X4),X2)),X1)
    | element_of_collection(intersection_of_sets(f16(X1,X2,X3,X4),X2),top_of_basis(X0))
    | ~ subset_sets(X2,X3)
    | limit_point(X1,X2,X3,X4)
    | ~ topological_space(X3,X4) ) ).

cnf(u8255,negated_conjecture,
    ( element_of_set(f11(X0,a),union_of_members(top_of_basis(X2)))
    | element_of_set(X1,union_of_members(X0))
    | ~ element_of_set(X1,a)
    | element_of_set(f11(X2,a),a)
    | ~ topological_space(cx,X0) ) ).

cnf(u1063,negated_conjecture,
    ( ~ element_of_set(X1,f13(a,cx,ct,f7(sF0,X0)))
    | element_of_set(X1,sF0)
    | basis(sF0,X0)
    | ~ topological_space(sF0,X0) ) ).

cnf(u9945,axiom,
    ( ~ closed(X3,X6,X7)
    | element_of_set(f11(subspace_topology(X0,X1,X2),X3),X3)
    | element_of_collection(closure(X5,X6,X7),top_of_basis(X4))
    | topological_space(X0,X1)
    | ~ subset_sets(X5,X3) ) ).

cnf(u951,axiom,
    ( ~ topological_space(closure(X0,X1,X2),X3)
    | ~ subset_sets(X0,intersection_of_members(X4))
    | ~ closed(intersection_of_members(X4),X1,X2)
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ element_of_collection(X5,X4)
    | element_of_set(f19(closure(X0,X1,X2),X3),X5) ) ).

cnf(u6592,negated_conjecture,
    ( element_of_set(f20(f13(a,cx,ct,f20(closure(X0,X1,X2),X3)),X4),interior(a,sF0,ct))
    | ~ topological_space(closure(X0,X1,X2),X3)
    | hausdorff(closure(X0,X1,X2),X3)
    | ~ subset_sets(X0,sF0)
    | ~ closed(sF0,X1,X2)
    | ~ topological_space(f13(a,cx,ct,f20(closure(X0,X1,X2),X3)),X4)
    | hausdorff(f13(a,cx,ct,f20(closure(X0,X1,X2),X3)),X4) ) ).

cnf(u3857,axiom,
    ( element_of_collection(X3,subspace_topology(X6,subspace_topology(X4,X5,f12(X0,X1,X2,X3)),X2))
    | ~ topological_space(X6,subspace_topology(X4,X5,f12(X0,X1,X2,X3)))
    | ~ subset_sets(X2,X6)
    | ~ element_of_collection(X3,subspace_topology(X0,X1,X2))
    | ~ compact_set(f12(X0,X1,X2,X3),X4,X5) ) ).

cnf(u3688,axiom,
    ( ~ element_of_set(X0,intersection_of_sets(f16(X1,X2,X3,X4),X2))
    | topological_space(X5,X6)
    | eq_p(f11(subspace_topology(X5,X6,X7),intersection_of_sets(f16(X1,X2,X3,X4),X2)),X1)
    | ~ subset_sets(X2,X3)
    | limit_point(X1,X2,X3,X4)
    | ~ topological_space(X3,X4) ) ).

cnf(u3974,axiom,
    ( element_of_set(f11(X2,X1),union_of_members(top_of_basis(X0)))
    | element_of_set(f11(X0,X1),X1)
    | element_of_collection(X1,top_of_basis(X2)) ) ).

cnf(u11242,axiom,
    ( eq_p(f19(closure(X0,X5,X6),X7),X1)
    | limit_point(X1,X2,X3,X4)
    | hausdorff(closure(X0,X5,X6),X7) ) ).

cnf(u7498,negated_conjecture,
    ( element_of_set(X2,f10(X0,f13(a,cx,ct,f20(sF0,X1)),X2))
    | element_of_set(f11(X0,f13(a,cx,ct,f20(sF0,X1))),sF0)
    | ~ element_of_set(X2,f13(a,cx,ct,f20(sF0,X1)))
    | ~ topological_space(sF0,X1)
    | hausdorff(sF0,X1) ) ).

cnf(closure_55,axiom,
    ( ~ element_of_set(X0,closure(X1,X2,X3))
    | ~ subset_sets(X1,X4)
    | ~ closed(X4,X2,X3)
    | element_of_set(X0,X4) ) ).

cnf(u10576,negated_conjecture,
    ( ~ closed(a,X1,X2)
    | hausdorff(closure(X0,X1,X2),X3) ) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : TOP014-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20  % Computer : n016.cluster.edu
% 0.09/0.20  % Model    : x86_64 x86_64
% 0.09/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20  % Memory   : 8046.5625MB
% 0.09/0.20  % OS       : Linux 6.8.0-71-generic
% 0.09/0.20  % CPULimit : 300
% 0.09/0.20  % WCLimit  : 300
% 0.09/0.20  % DateTime : Mon Sep 28 18:53:49 UTC 2026
% 0.09/0.20  % CPUTime  : 
% 0.09/0.20  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.24  Running first-order theorem proving
% 0.09/0.24  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.90/2.34  % (3883274)Input is clausal, will run a generic CNF schedule.
% 11.90/2.34  % (3883283)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2540809422:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 11.90/2.34  % (3883283)Refutation not found, incomplete strategy
% 11.90/2.34  % (3883283)------------------------------
% 11.90/2.34  % (3883283)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.90/2.34  % (3883283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.90/2.34  % (3883283)CaDiCaL version: 2.1.3
% 11.90/2.34  % (3883283)Termination reason: Refutation not found, incomplete strategy
% 11.90/2.34  % (3883283)Time elapsed: 0.002 s
% 11.90/2.34  % (3883283)Peak memory usage: 88 MB
% 11.90/2.34  % (3883283)Instructions burned: 1 (million)
% 11.90/2.34  % (3883279)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3871257055:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 11.90/2.34  % (3883280)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=333822896:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 11.90/2.34  % (3883281)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2193443048:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 11.90/2.34  % (3883282)lrs+10_1_sil=8000:sp=occurrence:random_seed=358620074:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 11.90/2.34  % (3883282)Refutation not found, incomplete strategy
% 11.90/2.34  % (3883282)------------------------------
% 11.90/2.34  % (3883282)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.90/2.34  % (3883282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.90/2.34  % (3883282)CaDiCaL version: 2.1.3
% 11.90/2.34  % (3883282)Termination reason: Refutation not found, incomplete strategy
% 11.90/2.34  % (3883282)Time elapsed: 0.002 s
% 11.90/2.34  % (3883282)Peak memory usage: 88 MB
% 11.90/2.34  % (3883282)Instructions burned: 1 (million)
% 11.90/2.34  % (3883284)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3937969007:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 11.90/2.34  % (3883285)dis-21_1_sil=8000:lcm=predicate:random_seed=954008651:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 11.90/2.34  % (3883284)Refutation not found, incomplete strategy
% 11.90/2.34  % (3883284)------------------------------
% 11.90/2.34  % (3883284)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.90/2.34  % (3883284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.90/2.34  % (3883284)CaDiCaL version: 2.1.3
% 11.90/2.34  % (3883284)Termination reason: Refutation not found, incomplete strategy
% 11.90/2.34  % (3883284)Time elapsed: 0.006 s
% 11.90/2.34  % (3883284)Peak memory usage: 88 MB
% 11.90/2.34  % (3883284)Instructions burned: 8 (million)
% 11.90/2.34  % (3883285)Instruction limit reached! 
% 11.90/2.34  % (3883285)------------------------------
% 11.90/2.34  % (3883285)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.90/2.34  % (3883285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.90/2.34  % (3883285)CaDiCaL version: 2.1.3
% 11.90/2.34  % (3883285)Termination reason: Instruction limit
% 11.90/2.34  % (3883285)Termination phase: Saturation
% 11.90/2.34  % (3883285)Time elapsed: 0.065 s
% 11.90/2.34  % (3883285)Peak memory usage: 88 MB
% 11.90/2.34  % (3883285)Instructions burned: 117 (million)
% 11.90/2.34  % (3883293)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=4081218405:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 11.90/2.34  % (3883293)Refutation not found, incomplete strategy
% 11.90/2.34  % (3883293)------------------------------
% 11.90/2.34  % (3883293)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.90/2.34  % (3883293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.90/2.34  % (3883293)CaDiCaL version: 2.1.3
% 11.90/2.34  % (3883293)Termination reason: Refutation not found, incomplete strategy
% 11.90/2.34  % (3883293)Time elapsed: 0.002 s
% 11.90/2.34  % (3883293)Peak memory usage: 88 MB
% 11.90/2.34  % (3883293)Instructions burned: 1 (million)
% 11.90/2.34  % (3883283)------------------------------
% 15.62/2.93  % (3883283)------------------------------
% 15.62/2.93  % (3883284)------------------------------
% 15.62/2.93  % (3883284)------------------------------
% 15.62/2.93  % (3883282)------------------------------
% 15.62/2.93  % (3883282)------------------------------
% 15.62/2.93  % (3883296)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3668447017:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 15.62/2.93  % (3883296)Refutation not found, incomplete strategy
% 15.62/2.93  % (3883296)------------------------------
% 15.62/2.93  % (3883296)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.62/2.93  % (3883296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.62/2.93  % (3883296)CaDiCaL version: 2.1.3
% 15.62/2.93  % (3883296)Termination reason: Refutation not found, incomplete strategy
% 15.62/2.93  % (3883296)Time elapsed: 0.001 s
% 15.62/2.93  % (3883296)Peak memory usage: 88 MB
% 15.62/2.93  % (3883296)Instructions burned: 3 (million)
% 15.62/2.93  % (3883295)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1485429236:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 15.62/2.93  % (3883297)lrs+10_64_to=lpo:sil=8000:random_seed=2817267991:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 15.62/2.93  % (3883297)Instruction limit reached! 
% 15.62/2.93  % (3883297)------------------------------
% 15.62/2.93  % (3883297)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.62/2.93  % (3883297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.62/2.93  % (3883297)CaDiCaL version: 2.1.3
% 15.62/2.93  % (3883297)Termination reason: Instruction limit
% 15.62/2.93  % (3883297)Termination phase: Saturation
% 15.62/2.93  % (3883297)Time elapsed: 0.065 s
% 15.62/2.93  % (3883297)Peak memory usage: 87 MB
% 15.62/2.93  % (3883297)Instructions burned: 126 (million)
% 15.62/2.93  % (3883293)------------------------------
% 15.62/2.93  % (3883293)------------------------------
% 15.62/2.93  % (3883295)Instruction limit reached! 
% 15.62/2.93  % (3883295)------------------------------
% 15.62/2.93  % (3883295)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.62/2.93  % (3883295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.62/2.93  % (3883295)CaDiCaL version: 2.1.3
% 15.62/2.93  % (3883295)Termination reason: Instruction limit
% 15.62/2.93  % (3883295)Termination phase: Saturation
% 15.62/2.93  % (3883295)Time elapsed: 0.097 s
% 15.62/2.93  % (3883295)Peak memory usage: 92 MB
% 15.62/2.93  % (3883295)Instructions burned: 191 (million)
% 15.62/2.93  % (3883296)------------------------------
% 15.62/2.93  % (3883296)------------------------------
% 15.62/2.93  % (3883304)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=3835302407:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 15.62/2.93  % (3883301)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=524716298:avsq=on:i=194:fgj=on:bd=preordered_2993 on theBenchmark for (2993ds/194Mi)
% 15.62/2.93  % (3883301)Refutation not found, incomplete strategy
% 15.62/2.93  % (3883301)------------------------------
% 15.62/2.93  % (3883301)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.62/2.93  % (3883301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.62/2.93  % (3883301)CaDiCaL version: 2.1.3
% 15.62/2.93  % (3883301)Termination reason: Refutation not found, incomplete strategy
% 15.62/2.93  % (3883301)Time elapsed: 0.004 s
% 15.62/2.93  % (3883301)Peak memory usage: 87 MB
% 15.62/2.93  % (3883301)Instructions burned: 5 (million)
% 15.62/2.93  % (3883303)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=361600359:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 15.62/2.93  % (3883302)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3854837402:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 15.62/2.93  % (3883304)Instruction limit reached! 
% 15.62/2.93  % (3883304)------------------------------
% 15.62/2.93  % (3883304)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.62/2.93  % (3883304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.62/2.93  % (3883304)CaDiCaL version: 2.1.3
% 15.62/2.93  % (3883304)Termination reason: Instruction limit
% 15.62/2.93  % (3883304)Termination phase: Saturation
% 15.62/2.93  % (3883304)Time elapsed: 0.029 s
% 22.25/3.99  % (3883304)Peak memory usage: 89 MB
% 22.25/3.99  % (3883304)Instructions burned: 108 (million)
% 22.25/3.99  % (3883309)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2805997750:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 22.25/3.99  % (3883302)Instruction limit reached! 
% 22.25/3.99  % (3883302)------------------------------
% 22.25/3.99  % (3883302)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.25/3.99  % (3883302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.25/3.99  % (3883302)CaDiCaL version: 2.1.3
% 22.25/3.99  % (3883302)Termination reason: Instruction limit
% 22.25/3.99  % (3883302)Termination phase: Saturation
% 22.25/3.99  % (3883302)Time elapsed: 0.108 s
% 22.25/3.99  % (3883302)Peak memory usage: 90 MB
% 22.25/3.99  % (3883302)Instructions burned: 158 (million)
% 22.25/3.99  % (3883309)Instruction limit reached! 
% 22.25/3.99  % (3883309)------------------------------
% 22.25/3.99  % (3883309)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.25/3.99  % (3883309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.25/3.99  % (3883309)CaDiCaL version: 2.1.3
% 22.25/3.99  % (3883309)Termination reason: Instruction limit
% 22.25/3.99  % (3883309)Termination phase: Saturation
% 22.25/3.99  % (3883309)Time elapsed: 0.031 s
% 22.25/3.99  % (3883309)Peak memory usage: 88 MB
% 22.25/3.99  % (3883309)Instructions burned: 110 (million)
% 22.25/3.99  % (3883312)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2245641303:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 22.25/3.99  % (3883301)------------------------------
% 22.25/3.99  % (3883301)------------------------------
% 22.25/3.99  % (3883311)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=927477591:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 22.25/3.99  % (3883311)Refutation not found, incomplete strategy
% 22.25/3.99  % (3883311)------------------------------
% 22.25/3.99  % (3883311)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.25/3.99  % (3883311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.25/3.99  % (3883311)CaDiCaL version: 2.1.3
% 22.25/3.99  % (3883311)Termination reason: Refutation not found, incomplete strategy
% 22.25/3.99  % (3883311)Time elapsed: 0.007 s
% 22.25/3.99  % (3883311)Peak memory usage: 88 MB
% 22.25/3.99  % (3883311)Instructions burned: 11 (million)
% 22.25/3.99  % (3883315)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1270832607:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 22.25/3.99  % (3883315)Refutation not found, incomplete strategy
% 22.25/3.99  % (3883315)------------------------------
% 22.25/3.99  % (3883315)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.25/3.99  % (3883315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.25/3.99  % (3883315)CaDiCaL version: 2.1.3
% 22.25/3.99  % (3883315)Termination reason: Refutation not found, incomplete strategy
% 22.25/3.99  % (3883315)Time elapsed: 0.003 s
% 22.25/3.99  % (3883315)Peak memory usage: 88 MB
% 22.25/3.99  % (3883315)Instructions burned: 3 (million)
% 22.25/3.99  % (3883311)------------------------------
% 22.25/3.99  % (3883311)------------------------------
% 22.25/3.99  % (3883315)------------------------------
% 22.25/3.99  % (3883315)------------------------------
% 22.25/3.99  % (3883317)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3531149451:i=499:bd=all_2987 on theBenchmark for (2987ds/499Mi)
% 22.25/3.99  % (3883318)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=715072392:i=191:fgj=on:bd=all_2986 on theBenchmark for (2986ds/191Mi)
% 22.25/3.99  % (3883318)Instruction limit reached! 
% 22.25/3.99  % (3883318)------------------------------
% 22.25/3.99  % (3883318)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.25/3.99  % (3883318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.25/3.99  % (3883318)CaDiCaL version: 2.1.3
% 22.25/3.99  % (3883318)Termination reason: Instruction limit
% 22.25/3.99  % (3883318)Termination phase: Saturation
% 22.25/3.99  % (3883318)Time elapsed: 0.116 s
% 22.25/3.99  % (3883318)Peak memory usage: 90 MB
% 22.25/3.99  % (3883318)Instructions burned: 192 (million)
% 22.25/3.99  % (3883317)Instruction limit reached! 
% 22.25/3.99  % (3883317)------------------------------
% 22.25/3.99  % (3883317)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.34/5.29  % (3883317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.34/5.29  % (3883317)CaDiCaL version: 2.1.3
% 32.34/5.29  % (3883317)Termination reason: Instruction limit
% 32.34/5.29  % (3883317)Termination phase: Saturation
% 32.34/5.29  % (3883317)Time elapsed: 0.285 s
% 32.34/5.29  % (3883317)Peak memory usage: 98 MB
% 32.34/5.29  % (3883317)Instructions burned: 500 (million)
% 32.34/5.29  % (3883321)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=880753622:i=264:kws=precedence:fsr=off_2983 on theBenchmark for (2983ds/264Mi)
% 32.34/5.29  % (3883322)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=1783746736:cond=on:i=156:bs=on:gtg=exists_all:er=known_2983 on theBenchmark for (2983ds/156Mi)
% 32.34/5.29  % (3883322)Refutation not found, incomplete strategy
% 32.34/5.29  % (3883322)------------------------------
% 32.34/5.29  % (3883322)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.34/5.29  % (3883322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.34/5.29  % (3883322)CaDiCaL version: 2.1.3
% 32.34/5.29  % (3883322)Termination reason: Refutation not found, incomplete strategy
% 32.34/5.29  % (3883322)Time elapsed: 0.006 s
% 32.34/5.29  % (3883322)Peak memory usage: 88 MB
% 32.34/5.29  % (3883322)Instructions burned: 10 (million)
% 32.34/5.29  % (3883321)Instruction limit reached! 
% 32.34/5.29  % (3883321)------------------------------
% 32.34/5.29  % (3883321)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.34/5.29  % (3883321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.34/5.29  % (3883321)CaDiCaL version: 2.1.3
% 32.34/5.29  % (3883321)Termination reason: Instruction limit
% 32.34/5.29  % (3883321)Termination phase: Saturation
% 32.34/5.29  % (3883321)Time elapsed: 0.153 s
% 32.34/5.29  % (3883321)Peak memory usage: 91 MB
% 32.34/5.29  % (3883321)Instructions burned: 266 (million)
% 32.34/5.29  % (3883281)Refutation not found, incomplete strategy
% 32.34/5.29  % (3883281)------------------------------
% 32.34/5.29  % (3883281)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.34/5.29  % (3883281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.34/5.29  % (3883281)CaDiCaL version: 2.1.3
% 32.34/5.29  % (3883281)Termination reason: Refutation not found, incomplete strategy
% 32.34/5.29  % (3883281)Time elapsed: 1.777 s
% 32.34/5.29  % (3883281)Peak memory usage: 142 MB
% 32.34/5.29  % (3883281)Instructions burned: 2713 (million)
% 32.34/5.29  % (3883325)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=3890741734:i=3256:kws=precedence:bd=preordered:av=off_2980 on theBenchmark for (2980ds/3256Mi)
% 32.34/5.29  % (3883322)------------------------------
% 32.34/5.29  % (3883322)------------------------------
% 32.34/5.29  % (3883303)Instruction limit reached! 
% 32.34/5.29  % (3883303)------------------------------
% 32.34/5.29  % (3883303)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.34/5.29  % (3883303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.34/5.29  % (3883303)CaDiCaL version: 2.1.3
% 32.34/5.29  % (3883303)Termination reason: Instruction limit
% 32.34/5.29  % (3883303)Termination phase: Saturation
% 32.34/5.29  % (3883303)Time elapsed: 1.374 s
% 32.34/5.29  % (3883303)Peak memory usage: 145 MB
% 32.34/5.29  % (3883303)Instructions burned: 3397 (million)
% 32.34/5.29  % (3883327)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=2965785363:i=537:av=off:ss=included_2979 on theBenchmark for (2979ds/537Mi)
% 32.34/5.29  % (3883281)------------------------------
% 32.34/5.29  % (3883281)------------------------------
% 32.34/5.29  % (3883327)Refutation not found, incomplete strategy
% 32.34/5.29  % (3883327)------------------------------
% 32.34/5.29  % (3883327)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.34/5.29  % (3883327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.34/5.29  % (3883327)CaDiCaL version: 2.1.3
% 32.34/5.29  % (3883327)Termination reason: Refutation not found, incomplete strategy
% 32.34/5.29  % (3883327)Time elapsed: 0.003 s
% 32.34/5.29  % (3883327)Peak memory usage: 87 MB
% 32.34/5.29  % (3883327)Instructions burned: 3 (million)
% 32.34/5.29  % (3883328)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=3992949734:i=180:bd=preordered:av=off_2978 on theBenchmark for (2978ds/180Mi)
% 32.34/5.29  % (3883328)Instruction limit reached! 
% 32.34/5.29  % (3883328)------------------------------
% 46.17/7.17  % (3883328)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.17/7.17  % (3883328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.17/7.17  % (3883328)CaDiCaL version: 2.1.3
% 46.17/7.17  % (3883328)Termination reason: Instruction limit
% 46.17/7.17  % (3883328)Termination phase: Saturation
% 46.17/7.17  % (3883328)Time elapsed: 0.048 s
% 46.17/7.17  % (3883328)Peak memory usage: 92 MB
% 46.17/7.17  % (3883328)Instructions burned: 183 (million)
% 46.17/7.17  % (3883331)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=3709217069:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2977 on theBenchmark for (2977ds/10307Mi)
% 46.17/7.17  % (3883332)lrs-1010_1024_to=lpo:sil=8000:tgt=ground:plsq=on:plsqc=1:sas=cadical:plsqr=1,32:sp=arity:lma=off:spb=goal:acc=on:bce=on:nwc=1.2:alpa=false:random_seed=4222547815:i=412:gtgl=4:gtg=exists_all_2977 on theBenchmark for (2977ds/412Mi)
% 46.17/7.17  % (3883327)------------------------------
% 46.17/7.17  % (3883327)------------------------------
% 46.17/7.17  % (3883332)Instruction limit reached! 
% 46.17/7.17  % (3883332)------------------------------
% 46.17/7.17  % (3883332)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.17/7.17  % (3883332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.17/7.17  % (3883332)CaDiCaL version: 2.1.3
% 46.17/7.17  % (3883332)Termination reason: Instruction limit
% 46.17/7.17  % (3883332)Termination phase: Saturation
% 46.17/7.17  % (3883332)Time elapsed: 0.113 s
% 46.17/7.17  % (3883332)Peak memory usage: 90 MB
% 46.17/7.17  % (3883332)Instructions burned: 417 (million)
% 46.17/7.17  % (3883336)ott-1011_2_sil=32000:bsd=on:sp=reverse_frequency:erd=off:urr=on:rnwc=on:gs=on:s2agt=70:updr=off:lftc=20:random_seed=3631375264:s2a=on:i=303:s2at=2:sd=1:kws=inv_arity:bs=on:ins=10:fdi=1024:sup=off:ss=included_2975 on theBenchmark for (2975ds/303Mi)
% 46.17/7.17  % (3883336)Refutation not found, incomplete strategy
% 46.17/7.17  % (3883336)------------------------------
% 46.17/7.17  % (3883336)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.17/7.17  % (3883336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.17/7.17  % (3883336)CaDiCaL version: 2.1.3
% 46.17/7.17  % (3883336)Termination reason: Refutation not found, incomplete strategy
% 46.17/7.17  % (3883336)Time elapsed: 0.001 s
% 46.17/7.17  % (3883336)Peak memory usage: 88 MB
% 46.17/7.17  % (3883336)Instructions burned: 2 (million)
% 46.17/7.17  % (3883335)ott+1002_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:etr=on:spb=units:urr=on:bsr=unit_only:gs=on:s2agt=16:br=off:random_seed=1395891400:s2pl=no:i=8478:s2at=4:nm=6_2975 on theBenchmark for (2975ds/8478Mi)
% 46.17/7.17  % (3883336)------------------------------
% 46.17/7.17  % (3883336)------------------------------
% 46.17/7.17  % (3883339)lrs+10_1_to=lpo:sil=16000:fde=none:sos=on:urr=on:bsr=on:random_seed=4263407280:st=4:i=720:sd=3:fsr=off:ss=axioms_2973 on theBenchmark for (2973ds/720Mi)
% 46.17/7.17  % (3883339)Instruction limit reached! 
% 46.17/7.17  % (3883339)------------------------------
% 46.17/7.17  % (3883339)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.17/7.17  % (3883339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.17/7.17  % (3883339)CaDiCaL version: 2.1.3
% 46.17/7.17  % (3883339)Termination reason: Instruction limit
% 46.17/7.17  % (3883339)Termination phase: Saturation
% 46.17/7.17  % (3883339)Time elapsed: 0.198 s
% 46.17/7.17  % (3883339)Peak memory usage: 103 MB
% 46.17/7.17  % (3883339)Instructions burned: 721 (million)
% 46.17/7.17  % (3883341)lrs-20_1_to=lpo:sil=32000:tgt=ground:sp=reverse_frequency:spb=goal:urr=on:bsr=unit_only:nwc=1.5:random_seed=1206097794:i=598:bs=on:bd=preordered:av=off:ss=axioms_2970 on theBenchmark for (2970ds/598Mi)
% 46.17/7.17  % (3883341)Instruction limit reached! 
% 46.17/7.17  % (3883341)------------------------------
% 46.17/7.17  % (3883341)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.17/7.17  % (3883341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.17/7.17  % (3883341)CaDiCaL version: 2.1.3
% 46.17/7.17  % (3883341)Termination reason: Instruction limit
% 46.17/7.17  % (3883341)Termination phase: Saturation
% 46.17/7.17  % (3883341)Time elapsed: 0.164 s
% 46.17/7.17  % (3883341)Peak memory usage: 90 MB
% 46.17/7.17  % (3883341)Instructions burned: 599 (million)
% 46.17/7.17  % (3883343)dis-1010_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:sp=occurrence:random_seed=3823952639:i=2989:sd=3:ss=axioms:sgt=60_2967 on theBenchmark for (2967ds/2989Mi)
% 53.97/8.31  % (3883312)Instruction limit reached! 
% 53.97/8.31  % (3883312)------------------------------
% 53.97/8.31  % (3883312)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 53.97/8.31  % (3883312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.97/8.31  % (3883312)CaDiCaL version: 2.1.3
% 53.97/8.31  % (3883312)Termination reason: Instruction limit
% 53.97/8.31  % (3883312)Termination phase: Saturation
% 53.97/8.31  % (3883312)Time elapsed: 2.392 s
% 53.97/8.31  % (3883312)Peak memory usage: 144 MB
% 53.97/8.31  % (3883312)Instructions burned: 5211 (million)
% 53.97/8.31  % (3883345)dis+1011_1_ncem=casc2026/models/loop5.pt:sil=8000:tgt=full:npcc=on:bsd=on:sp=const_min:spb=goal_then_units:lcm=predicate:urr=ec_only:s2agt=16:random_seed=2936444184:i=1997:bd=preordered:av=off:gtg=all:gsp=on_2966 on theBenchmark for (2966ds/1997Mi)
% 53.97/8.31  % (3883279)Refutation not found, incomplete strategy
% 53.97/8.31  % (3883279)------------------------------
% 53.97/8.31  % (3883279)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 53.97/8.31  % (3883279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.97/8.31  % (3883279)CaDiCaL version: 2.1.3
% 53.97/8.31  % (3883279)Termination reason: Refutation not found, incomplete strategy
% 53.97/8.31  % (3883279)Time elapsed: 3.507 s
% 53.97/8.31  % (3883279)Peak memory usage: 162 MB
% 53.97/8.31  % (3883279)Instructions burned: 5245 (million)
% 53.97/8.31  % (3883325)Instruction limit reached! 
% 53.97/8.31  % (3883325)------------------------------
% 53.97/8.31  % (3883325)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 53.97/8.31  % (3883325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.97/8.31  % (3883325)CaDiCaL version: 2.1.3
% 53.97/8.31  % (3883325)Termination reason: Instruction limit
% 53.97/8.31  % (3883325)Termination phase: Saturation
% 53.97/8.31  % (3883325)Time elapsed: 1.787 s
% 53.97/8.31  % (3883325)Peak memory usage: 156 MB
% 53.97/8.31  % (3883325)Instructions burned: 3256 (million)
% 53.97/8.31  % (3883279)------------------------------
% 53.97/8.31  % (3883279)------------------------------
% 53.97/8.31  % (3883347)lrs-1010_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:drc=off:sp=unary_frequency:urr=ec_only:fd=preordered:random_seed=2499802809:i=2088:bd=preordered:av=off_2961 on theBenchmark for (2961ds/2088Mi)
% 53.97/8.31  % (3883348)lrs+1010_64:1_anc=all:to=lpo:sil=16000:fde=none:sp=const_frequency:urr=full:sac=on:random_seed=4133745989:i=1098:nicw=on_2960 on theBenchmark for (2960ds/1098Mi)
% 53.97/8.31  % (3883345)Refutation not found, incomplete strategy
% 53.97/8.31  % (3883345)------------------------------
% 53.97/8.31  % (3883345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 53.97/8.31  % (3883345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.97/8.31  % (3883345)CaDiCaL version: 2.1.3
% 53.97/8.31  % (3883345)Termination reason: Refutation not found, incomplete strategy
% 53.97/8.31  % (3883345)Time elapsed: 0.811 s
% 53.97/8.31  % (3883345)Peak memory usage: 131 MB
% 53.97/8.31  % (3883345)Instructions burned: 1191 (million)
% 53.97/8.31  % (3883343)Instruction limit reached! 
% 53.97/8.31  % (3883343)------------------------------
% 53.97/8.31  % (3883343)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 53.97/8.31  % (3883343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.97/8.31  % (3883343)CaDiCaL version: 2.1.3
% 53.97/8.31  % (3883343)Termination reason: Instruction limit
% 53.97/8.31  % (3883343)Termination phase: Saturation
% 53.97/8.31  % (3883343)Time elapsed: 1.071 s
% 53.97/8.31  % (3883343)Peak memory usage: 144 MB
% 53.97/8.31  % (3883343)Instructions burned: 2992 (million)
% 53.97/8.31  % (3883351)lrs-1011_32:1_to=lpo:sil=32000:tgt=ground:sos=on:spb=goal_then_units:acc=on:random_seed=453836541:i=433:bd=preordered_2956 on theBenchmark for (2956ds/433Mi)
% 53.97/8.31  % (3883345)------------------------------
% 53.97/8.31  % (3883345)------------------------------
% 53.97/8.31  % (3883351)Instruction limit reached! 
% 53.97/8.31  % (3883351)------------------------------
% 53.97/8.31  % (3883351)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 53.97/8.31  % (3883351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.97/8.31  % (3883351)CaDiCaL version: 2.1.3
% 53.97/8.31  % (3883351)Termination reason: Instruction limit
% 53.97/8.31  % (3883351)Termination phase: Saturation
% 69.65/10.51  % (3883351)Time elapsed: 0.123 s
% 69.65/10.51  % (3883351)Peak memory usage: 91 MB
% 69.65/10.51  % (3883351)Instructions burned: 437 (million)
% 69.65/10.51  % (3883348)Instruction limit reached! 
% 69.65/10.51  % (3883348)------------------------------
% 69.65/10.51  % (3883348)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.65/10.51  % (3883348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.65/10.51  % (3883348)CaDiCaL version: 2.1.3
% 69.65/10.51  % (3883348)Termination reason: Instruction limit
% 69.65/10.51  % (3883348)Termination phase: Saturation
% 69.65/10.51  % (3883348)Time elapsed: 0.609 s
% 69.65/10.51  % (3883348)Peak memory usage: 108 MB
% 69.65/10.51  % (3883348)Instructions burned: 1098 (million)
% 69.65/10.51  % (3883353)lrs+1002_1_ncem=casc2026/models/loop3.pt:sil=32000:npcc=on:prc=on:etr=on:spb=goal:flr=on:random_seed=3415785843:st=5.37:cond=on:i=2942:s2at=20:aac=none:fgj=on:bs=on:gtg=exists_sym:ss=axioms:er=filter:sgt=16_2954 on theBenchmark for (2954ds/2942Mi)
% 69.65/10.51  % (3883354)lrs+35_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=reverse_arity:urr=full:rp=on:br=off:random_seed=829793674:i=6922:s2at=5:sd=3:bd=all:ss=axioms:er=known:sgt=32_2953 on theBenchmark for (2953ds/6922Mi)
% 69.65/10.51  % (3883355)dis+10_5:1_sil=8000:tgt=full:plsq=on:plsqc=1:plsqr=32,1:urr=on:fd=off:nwc=0.5:br=off:slsqc=3:slsq=on:random_seed=3077299193:s2a=on:i=596:s2at=2.3:gtgl=5:gtg=all:sup=off_2953 on theBenchmark for (2953ds/596Mi)
% 69.65/10.51  % (3883355)Instruction limit reached! 
% 69.65/10.51  % (3883355)------------------------------
% 69.65/10.51  % (3883355)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.65/10.51  % (3883355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.65/10.51  % (3883355)CaDiCaL version: 2.1.3
% 69.65/10.51  % (3883355)Termination reason: Instruction limit
% 69.65/10.51  % (3883355)Termination phase: Saturation
% 69.65/10.51  % (3883355)Time elapsed: 0.301 s
% 69.65/10.51  % (3883355)Peak memory usage: 104 MB
% 69.65/10.51  % (3883355)Instructions burned: 597 (million)
% 69.65/10.51  % (3883359)lrs+21_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=non_intro:urr=on:fd=preordered:random_seed=939738368:i=4123:kws=inv_frequency:bd=preordered:av=off:er=known_2949 on theBenchmark for (2949ds/4123Mi)
% 69.65/10.51  % (3883347)Instruction limit reached! 
% 69.65/10.51  % (3883347)------------------------------
% 69.65/10.51  % (3883347)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.65/10.51  % (3883347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.65/10.51  % (3883347)CaDiCaL version: 2.1.3
% 69.65/10.51  % (3883347)Termination reason: Instruction limit
% 69.65/10.51  % (3883347)Termination phase: Saturation
% 69.65/10.51  % (3883347)Time elapsed: 1.341 s
% 69.65/10.51  % (3883347)Peak memory usage: 138 MB
% 69.65/10.51  % (3883347)Instructions burned: 2088 (million)
% 69.65/10.51  % (3883361)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=4078172412:i=16411:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2946 on theBenchmark for (2946ds/16411Mi)
% 69.65/10.51  % (3883335)Instruction limit reached! 
% 69.65/10.51  % (3883335)------------------------------
% 69.65/10.51  % (3883335)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.65/10.51  % (3883335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.65/10.51  % (3883335)CaDiCaL version: 2.1.3
% 69.65/10.51  % (3883335)Termination reason: Instruction limit
% 69.65/10.51  % (3883335)Termination phase: Saturation
% 69.65/10.51  % (3883335)Time elapsed: 3.356 s
% 69.65/10.51  % (3883335)Peak memory usage: 165 MB
% 69.65/10.51  % (3883335)Instructions burned: 8479 (million)
% 69.65/10.51  % (3883363)lrs+0_1_ncem=casc2026/models/loop1.pt:sil=8000:tgt=full:npcc=on:sp=reverse_frequency:gs=on:random_seed=2166694624:i=1670:kws=inv_precedence:bd=all:av=off:gtg=exists_all_2940 on theBenchmark for (2940ds/1670Mi)
% 69.65/10.51  % (3883353)Instruction limit reached! 
% 69.65/10.51  % (3883353)------------------------------
% 69.65/10.51  % (3883353)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.65/10.51  % (3883353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.65/10.51  % (3883353)CaDiCaL version: 2.1.3
% 69.65/10.51  % (3883353)Termination reason: Instruction limit
% 69.65/10.51  % (3883353)Termination phase: Saturation
% 69.65/10.51  % (3883353)Time elapsed: 1.820 s
% 69.65/10.51  % (3883353)Peak memory usage: 141 MB
% 69.65/10.51  % (3883353)Instructions burned: 2942 (million)
% 82.03/12.30  % (3883365)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:prc=on:drc=off:fde=unused:sp=reverse_frequency:updr=off:random_seed=16431699:st=3:cond=fast:i=1722:sd=2:ss=included:fsd=on_2934 on theBenchmark for (2934ds/1722Mi)
% 82.03/12.30  % (3883354)Instruction limit reached! 
% 82.03/12.30  % (3883354)------------------------------
% 82.03/12.30  % (3883354)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 82.03/12.30  % (3883354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 82.03/12.30  % (3883354)CaDiCaL version: 2.1.3
% 82.03/12.30  % (3883354)Termination reason: Instruction limit
% 82.03/12.30  % (3883354)Termination phase: Saturation
% 82.03/12.30  % (3883354)Time elapsed: 1.968 s
% 82.03/12.30  % (3883354)Peak memory usage: 195 MB
% 82.03/12.30  % (3883354)Instructions burned: 6923 (million)
% 82.03/12.30  % (3883367)ott-1004_1_anc=all_dependent:to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:tgt=full:npcc=on:sas=cadical:sp=const_frequency:acc=on:urr=ec_only:gs=on:s2agt=40:alpa=false:sac=on:random_seed=1722867546:cts=off:cond=on:i=9530:bs=on:fsd=on_2933 on theBenchmark for (2933ds/9530Mi)
% 82.03/12.30  % (3883363)Instruction limit reached! 
% 82.03/12.30  % (3883363)------------------------------
% 82.03/12.30  % (3883363)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 82.03/12.30  % (3883363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 82.03/12.30  % (3883363)CaDiCaL version: 2.1.3
% 82.03/12.30  % (3883363)Termination reason: Instruction limit
% 82.03/12.30  % (3883363)Termination phase: Saturation
% 82.03/12.30  % (3883363)Time elapsed: 0.875 s
% 82.03/12.30  % (3883363)Peak memory usage: 135 MB
% 82.03/12.30  % (3883363)Instructions burned: 1671 (million)
% 82.03/12.30  % (3883369)lrs+10_1_ncem=casc2026/models/loop4.pt:sil=64000:npcc=on:sp=occurrence:random_seed=3737082229:st=2:i=4495:sd=10:ss=included_2930 on theBenchmark for (2930ds/4495Mi)
% 82.03/12.30  % (3883365)Refutation not found, incomplete strategy
% 82.03/12.30  % (3883365)------------------------------
% 82.03/12.30  % (3883365)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 82.03/12.30  % (3883365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 82.03/12.30  % (3883365)CaDiCaL version: 2.1.3
% 82.03/12.30  % (3883365)Termination reason: Refutation not found, incomplete strategy
% 82.03/12.30  % (3883365)Time elapsed: 0.590 s
% 82.03/12.30  % (3883365)Peak memory usage: 129 MB
% 82.03/12.30  % (3883365)Instructions burned: 887 (million)
% 82.03/12.30  % (3883369)Refutation not found, incomplete strategy
% 82.03/12.30  % (3883369)------------------------------
% 82.03/12.30  % (3883369)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 82.03/12.30  % (3883369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 82.03/12.30  % (3883369)CaDiCaL version: 2.1.3
% 82.03/12.30  % (3883369)Termination reason: Refutation not found, incomplete strategy
% 82.03/12.30  % (3883369)Time elapsed: 0.331 s
% 82.03/12.30  % (3883369)Peak memory usage: 128 MB
% 82.03/12.30  % (3883369)Instructions burned: 907 (million)
% 82.03/12.30  % (3883359)Instruction limit reached! 
% 82.03/12.30  % (3883359)------------------------------
% 82.03/12.30  % (3883359)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 82.03/12.30  % (3883359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 82.03/12.30  % (3883359)CaDiCaL version: 2.1.3
% 82.03/12.30  % (3883359)Termination reason: Instruction limit
% 82.03/12.30  % (3883359)Termination phase: Saturation
% 82.03/12.30  % (3883359)Time elapsed: 2.155 s
% 82.03/12.30  % (3883359)Peak memory usage: 155 MB
% 82.03/12.30  % (3883359)Instructions burned: 4123 (million)
% 82.03/12.30  % (3883365)------------------------------
% 82.03/12.30  % (3883365)------------------------------
% 82.03/12.30  % (3883369)------------------------------
% 82.03/12.30  % (3883369)------------------------------
% 82.03/12.30  % (3883371)lrs+1002_1_sfv=off:ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=reverse_arity:spb=non_intro:s2agt=16:random_seed=3980637228:cond=fast:i=4920:s2at=1.9:kws=inv_frequency:av=off:er=filter_2926 on theBenchmark for (2926ds/4920Mi)
% 82.03/12.30  % (3883372)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:lcm=reverse:bce=on:bsr=unit_only:random_seed=2031242719:cts=off:cond=on:i=2083:s2at=-1:fgj=on:av=off_2925 on theBenchmark for (2925ds/2083Mi)
% 82.03/12.30  % (3883374)lrs+31_1_to=lpo:ncem=casc2026/models/loop2.pt:sil=16000:npcc=on:sp=weighted_frequency:sos=all:spb=units:lcm=predicate:bsr=on:gs=on:random_seed=3403230546:i=4629:av=off:gsp=on_2924 on theBenchmark for (2924ds/4629Mi)
% 99.71/14.72  % (3883372)Instruction limit reached! 
% 99.71/14.72  % (3883372)------------------------------
% 99.71/14.72  % (3883372)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 99.71/14.72  % (3883372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.71/14.72  % (3883372)CaDiCaL version: 2.1.3
% 99.71/14.72  % (3883372)Termination reason: Instruction limit
% 99.71/14.72  % (3883372)Termination phase: Saturation
% 99.71/14.72  % (3883372)Time elapsed: 1.362 s
% 99.71/14.72  % (3883372)Peak memory usage: 136 MB
% 99.71/14.72  % (3883372)Instructions burned: 2083 (million)
% 99.71/14.72  % (3883374)Instruction limit reached! 
% 99.71/14.72  % (3883374)------------------------------
% 99.71/14.72  % (3883374)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 99.71/14.72  % (3883374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.71/14.72  % (3883374)CaDiCaL version: 2.1.3
% 99.71/14.72  % (3883374)Termination reason: Instruction limit
% 99.71/14.72  % (3883374)Termination phase: Saturation
% 99.71/14.72  % (3883374)Time elapsed: 1.396 s
% 99.71/14.72  % (3883374)Peak memory usage: 143 MB
% 99.71/14.72  % (3883374)Instructions burned: 4629 (million)
% 99.71/14.72  % (3883377)dis+10_64_sil=16000:tgt=full:plsq=on:prc=on:drc=off:plsqc=2:plsqr=32,1:spb=goal:random_seed=1042665435:i=1258:av=off_2910 on theBenchmark for (2910ds/1258Mi)
% 99.71/14.72  % (3883378)ott+1_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:fdtod=off:random_seed=2548155891:i=7343:av=off:ss=included_2909 on theBenchmark for (2909ds/7343Mi)
% 99.71/14.72  % (3883331)Instruction limit reached! 
% 99.71/14.72  % (3883331)------------------------------
% 99.71/14.72  % (3883331)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 99.71/14.72  % (3883331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.71/14.72  % (3883331)CaDiCaL version: 2.1.3
% 99.71/14.72  % (3883331)Termination reason: Instruction limit
% 99.71/14.72  % (3883331)Termination phase: Saturation
% 99.71/14.72  % (3883331)Time elapsed: 6.916 s
% 99.71/14.72  % (3883331)Peak memory usage: 189 MB
% 99.71/14.72  % (3883331)Instructions burned: 10307 (million)
% 99.71/14.72  % (3883381)lrs-1002_1_to=lpo:sil=16000:sp=reverse_arity:sos=on:random_seed=1102687288:i=1325:sd=2:ss=axioms:sgt=16_2907 on theBenchmark for (2907ds/1325Mi)
% 99.71/14.72  % (3883381)Refutation not found, incomplete strategy
% 99.71/14.72  % (3883381)------------------------------
% 99.71/14.72  % (3883381)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 99.71/14.72  % (3883381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.71/14.72  % (3883381)CaDiCaL version: 2.1.3
% 99.71/14.72  % (3883381)Termination reason: Refutation not found, incomplete strategy
% 99.71/14.72  % (3883381)Time elapsed: 0.002 s
% 99.71/14.72  % (3883381)Peak memory usage: 88 MB
% 99.71/14.72  % (3883381)Instructions burned: 1 (million)
% 99.71/14.72  % (3883378)Refutation not found, incomplete strategy
% 99.71/14.72  % (3883378)------------------------------
% 99.71/14.72  % (3883378)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 99.71/14.72  % (3883378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.71/14.72  % (3883378)CaDiCaL version: 2.1.3
% 99.71/14.72  % (3883378)Termination reason: Refutation not found, incomplete strategy
% 99.71/14.72  % (3883378)Time elapsed: 0.349 s
% 99.71/14.72  % (3883378)Peak memory usage: 127 MB
% 99.71/14.72  % (3883378)Instructions burned: 907 (million)
% 99.71/14.72  % (3883381)------------------------------
% 99.71/14.72  % (3883381)------------------------------
% 99.71/14.72  % (3883378)------------------------------
% 99.71/14.72  % (3883378)------------------------------
% 99.71/14.72  % (3883384)dis-1003_1_ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:sp=arity:sos=on:urr=on:random_seed=1354838111:i=1489:sd=2:ep=R:ss=axioms_2903 on theBenchmark for (2903ds/1489Mi)
% 99.71/14.72  % (3883383)dis+1011_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:prc=on:sp=arity:lma=off:spb=intro:urr=ec_only:sac=on:random_seed=1035459369:st=3.9:cond=fast:i=2646:s2at=1.8:sd=5:amm=off:gtg=position:ss=axioms:fsd=on_2903 on theBenchmark for (2903ds/2646Mi)
% 99.71/14.72  % (3883377)Instruction limit reached! 
% 99.71/14.72  % (3883377)------------------------------
% 99.71/14.72  % (3883377)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 99.71/14.72  % (3883377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.22/15.04  % (3883377)CaDiCaL version: 2.1.3
% 78.22/15.04  % (3883377)Termination reason: Instruction limit
% 78.22/15.04  % (3883377)Termination phase: Saturation
% 78.22/15.04  % (3883377)Time elapsed: 0.710 s
% 78.22/15.04  % (3883377)Peak memory usage: 94 MB
% 78.22/15.04  % (3883377)Instructions burned: 1260 (million)
% 78.22/15.04  % (3883387)lrs+20_1_ncem=casc2026/models/loop3.pt:sil=32000:npcc=on:fde=unused:sp=occurrence:sos=on:lcm=predicate:urr=full:sac=on:random_seed=3042947489:i=1503_2901 on theBenchmark for (2901ds/1503Mi)
% 78.22/15.04  % (3883384)Refutation not found, incomplete strategy
% 78.22/15.04  % (3883384)------------------------------
% 78.22/15.04  % (3883384)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 78.22/15.04  % (3883384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.22/15.04  % (3883384)CaDiCaL version: 2.1.3
% 78.22/15.04  % (3883384)Termination reason: Refutation not found, incomplete strategy
% 78.22/15.04  % (3883384)Time elapsed: 0.329 s
% 78.22/15.04  % (3883384)Peak memory usage: 128 MB
% 78.22/15.04  % (3883384)Instructions burned: 897 (million)
% 78.22/15.04  % (3883384)------------------------------
% 78.22/15.04  % (3883384)------------------------------
% 78.22/15.04  % (3883389)lrs+10_1_ncem=casc2026/models/loop3.pt:sil=16000:tgt=ground:npcc=on:random_seed=696599602:i=13942:kws=frequency_2897 on theBenchmark for (2897ds/13942Mi)
% 78.22/15.04  % (3883371)Instruction limit reached! 
% 78.22/15.04  % (3883371)------------------------------
% 78.22/15.04  % (3883371)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 78.22/15.04  % (3883371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.22/15.04  % (3883371)CaDiCaL version: 2.1.3
% 78.22/15.04  % (3883371)Termination reason: Instruction limit
% 78.22/15.04  % (3883371)Termination phase: Saturation
% 78.22/15.04  % (3883371)Time elapsed: 3.196 s
% 78.22/15.04  % (3883371)Peak memory usage: 160 MB
% 78.22/15.04  % (3883371)Instructions burned: 4920 (million)
% 78.22/15.04  % (3883391)lrs-1002_1_to=lpo:ncem=casc2026/models/loop4.pt:sil=16000:npcc=on:bsd=on:sp=unary_frequency:spb=goal:lcm=predicate:acc=on:urr=full:bce=on:bsr=unit_only:s2agt=64:sac=on:random_seed=2889540925:i=3604:fsr=off:er=filter_2892 on theBenchmark for (2892ds/3604Mi)
% 78.22/15.04  % (3883387)Instruction limit reached! 
% 78.22/15.04  % (3883387)------------------------------
% 78.22/15.04  % (3883387)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 78.22/15.04  % (3883387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.22/15.04  % (3883387)CaDiCaL version: 2.1.3
% 78.22/15.04  % (3883387)Termination reason: Instruction limit
% 78.22/15.04  % (3883387)Termination phase: Saturation
% 78.22/15.04  % (3883387)Time elapsed: 0.924 s
% 78.22/15.04  % (3883387)Peak memory usage: 135 MB
% 78.22/15.04  % (3883387)Instructions burned: 1503 (million)
% 78.22/15.04  % (3883383)Instruction limit reached! 
% 78.22/15.04  % (3883383)------------------------------
% 78.22/15.04  % (3883383)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 78.22/15.04  % (3883383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.22/15.04  % (3883383)CaDiCaL version: 2.1.3
% 78.22/15.04  % (3883383)Termination reason: Instruction limit
% 78.22/15.04  % (3883383)Termination phase: Saturation
% 78.22/15.04  % (3883383)Time elapsed: 1.194 s
% 78.22/15.04  % (3883383)Peak memory usage: 139 MB
% 78.22/15.04  % (3883383)Instructions burned: 2646 (million)
% 78.22/15.04  % (3883393)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=32000:npcc=on:random_seed=950201227:i=1876:sd=1:ss=included:sgt=32_2891 on theBenchmark for (2891ds/1876Mi)
% 78.22/15.04  % (3883394)lrs+10_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:fde=none:sp=arity:urr=on:br=off:random_seed=155904962:i=1932:bd=preordered:ins=10:sup=off:ss=axioms_2890 on theBenchmark for (2890ds/1932Mi)
% 78.22/15.04  % (3883394)Refutation not found, incomplete strategy
% 78.22/15.04  % (3883394)------------------------------
% 78.22/15.04  % (3883394)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 78.22/15.04  % (3883394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.22/15.04  % (3883394)CaDiCaL version: 2.1.3
% 78.22/15.04  % (3883394)Termination reason: Refutation not found, incomplete strategy
% 78.22/15.04  % (3883394)Time elapsed: 0.328 s
% 78.22/15.04  % (3883394)Peak memory usage: 128 MB
% 78.22/15.04  % (3883394)Instructions burned: 899 (million)
% 78.22/15.04  % (3883394)------------------------------
% 78.22/15.04  % (3883394)------------------------------
% 78.22/15.04  % (3883397)dis-1010_1_ncem=casc2026/models/loop1.pt:sil=8000:npcc=on:fde=unused:etr=on:sp=weighted_frequency:spb=goal_then_units:urr=ec_only:fd=preordered:kmz=on:random_seed=1842020568:s2pl=on:cond=fast:i=1980:s2at=2:kws=inv_precedence:doe=on:ins=1:av=off:gsp=on_2884 on theBenchmark for (2884ds/1980Mi)
% 78.22/15.04  % (3883393)Instruction limit reached! 
% 78.22/15.04  % (3883393)------------------------------
% 78.22/15.04  % (3883393)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 78.22/15.04  % (3883393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.22/15.04  % (3883393)CaDiCaL version: 2.1.3
% 78.22/15.04  % (3883393)Termination reason: Instruction limit
% 78.22/15.04  % (3883393)Termination phase: Saturation
% 78.22/15.04  % (3883393)Time elapsed: 1.095 s
% 78.22/15.04  % (3883393)Peak memory usage: 131 MB
% 78.22/15.04  % (3883393)Instructions burned: 1876 (million)
% 78.22/15.04  % (3883399)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=unary_first:sos=all:spb=units:urr=on:br=off:random_seed=906082685:i=3902:kws=inv_arity_squared:fgj=on:ss=axioms:sgt=11_2878 on theBenchmark for (2878ds/3902Mi)
% 78.22/15.04  % (3883397)Instruction limit reached! 
% 78.22/15.04  % (3883397)------------------------------
% 78.22/15.04  % (3883397)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 78.22/15.04  % (3883397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.22/15.04  % (3883397)CaDiCaL version: 2.1.3
% 78.22/15.04  % (3883397)Termination reason: Instruction limit
% 78.22/15.04  % (3883397)Termination phase: Saturation
% 78.22/15.04  % (3883397)Time elapsed: 0.717 s
% 78.22/15.04  % (3883397)Peak memory usage: 136 MB
% 78.22/15.04  % (3883397)Instructions burned: 1982 (million)
% 78.22/15.04  % (3883401)dis+10_32_sil=16000:tgt=ground:drc=off:sas=cadical:acc=on:alpa=false:avsqc=3:random_seed=3657079516:avsq=on:i=3916:aac=none:amm=off_2876 on theBenchmark for (2876ds/3916Mi)
% 78.22/15.04  % (3883399)Refutation not found, incomplete strategy
% 78.22/15.04  % (3883399)------------------------------
% 78.22/15.04  % (3883399)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 78.22/15.04  % (3883399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.22/15.04  % (3883399)CaDiCaL version: 2.1.3
% 78.22/15.04  % (3883399)Termination reason: Refutation not found, incomplete strategy
% 78.22/15.04  % (3883399)Time elapsed: 0.392 s
% 78.22/15.04  % (3883399)Peak memory usage: 127 MB
% 78.22/15.04  % (3883399)Instructions burned: 899 (million)
% 78.22/15.04  % (3883399)------------------------------
% 78.22/15.04  % (3883399)------------------------------
% 78.22/15.04  % (3883367)Instruction limit reached! 
% 78.22/15.04  % (3883367)------------------------------
% 78.22/15.04  % (3883367)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 78.22/15.04  % (3883367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.22/15.04  % (3883367)CaDiCaL version: 2.1.3
% 78.22/15.04  % (3883367)Termination reason: Instruction limit
% 78.22/15.04  % (3883367)Termination phase: Saturation
% 78.22/15.04  % (3883367)Time elapsed: 5.974 s
% 78.22/15.04  % (3883367)Peak memory usage: 166 MB
% 78.22/15.04  % (3883367)Instructions burned: 9531 (million)
% 78.22/15.04  % (3883391)Instruction limit reached! 
% 78.22/15.04  % (3883391)------------------------------
% 78.22/15.04  % (3883391)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 78.22/15.04  % (3883391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.22/15.04  % (3883391)CaDiCaL version: 2.1.3
% 78.22/15.04  % (3883391)Termination reason: Instruction limit
% 78.22/15.04  % (3883391)Termination phase: Saturation
% 78.22/15.04  % (3883391)Time elapsed: 2.006 s
% 78.22/15.04  % (3883391)Peak memory usage: 155 MB
% 78.22/15.04  % (3883391)Instructions burned: 3605 (million)
% 78.22/15.04  % (3883433)dis+10_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=full:npcc=on:drc=ordering:lcm=predicate:random_seed=1629041637:cond=on:i=3940:av=off:er=known_2872 on theBenchmark for (2872ds/3940Mi)
% 78.22/15.04  % (3883434)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:sp=reverse_frequency:bce=on:random_seed=3681913424:s2pl=on:i=3980:gtgl=3:kws=precedence:fgj=on:gtg=all_2871 on theBenchmark for (2871ds/3980Mi)
% 78.22/15.04  % (3883461)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:prc=on:sp=reverse_frequency:spb=units:lsd=20:urr=ec_only:bce=on:fd=off:kmz=on:random_seed=3087347634:i=2087:s2at=3:kws=frequency:av=off:fsr=off_2871 on theBenchmark for (2871ds/2087Mi)
% 78.22/15.04  % (3883389)First to succeed.
% 78.22/15.04  % (3883389)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3883274"
% 78.22/15.04  % (3883433)Instruction limit reached! 
% 78.22/15.04  % (3883433)------------------------------
% 78.22/15.04  % (3883433)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 78.22/15.04  % (3883433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.22/15.04  % (3883433)CaDiCaL version: 2.1.3
% 78.22/15.04  % (3883433)Termination reason: Instruction limit
% 78.22/15.04  % (3883433)Termination phase: Saturation
% 78.22/15.04  % (3883433)Time elapsed: 1.386 s
% 78.22/15.04  % (3883433)Peak memory usage: 147 MB
% 78.22/15.04  % (3883433)Instructions burned: 3942 (million)
% 78.22/15.04  % SZS status Satisfiable for theBenchmark
% 78.22/15.04  % SZS output start Saturation.
% See solution above
% 102.00/15.26  % SZS output start Definitions and Model Updates.
% 102.00/15.26  % SZS output end Definitions and Model Updates.
% 102.00/15.26  % (3883389)------------------------------
% 102.00/15.26  % (3883389)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 102.00/15.26  % (3883389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.00/15.26  % (3883389)CaDiCaL version: 2.1.3
% 102.00/15.26  % (3883389)Termination reason: Satisfiable
% 102.00/15.26  % (3883389)Time elapsed: 3.725 s
% 102.00/15.26  % (3883389)Peak memory usage: 163 MB
% 102.00/15.26  % (3883389)Instructions burned: 5800 (million)
% 102.00/15.26  % (3883389)------------------------------
% 102.00/15.26  % (3883389)------------------------------
% 102.00/15.26  % (3883274)Success in time 14.391 s
% 102.00/15.26  % Vampire exiting
%------------------------------------------------------------------------------