TSTP Solution File: TOP010-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : TOP010-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep  1 05:59:44 EDT 2023

% Result   : Satisfiable 0.21s 0.44s
% Output   : Saturation 0.21s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(u125,negated_conjecture,
    ~ subset_collections(subspace_topology(cx,ct2,a),subspace_topology(cx,ct1,a)) ).

cnf(u128,negated_conjecture,
    topological_space(cx,subspace_topology(cx,ct1,a)) ).

cnf(u132,negated_conjecture,
    topological_space(cx,subspace_topology(cx,ct2,a)) ).

cnf(u139,negated_conjecture,
    ~ open_covering(subspace_topology(cx,ct2,a),X0,subspace_topology(cx,ct1,a)) ).

cnf(u217,negated_conjecture,
    ~ finer(subspace_topology(cx,ct1,a),subspace_topology(cx,ct2,a),X1) ).

cnf(compact_space_105,axiom,
    ( compact_space(X4,X5)
    | ~ topological_space(X4,X5)
    | ~ finite(X24)
    | ~ open_covering(X24,X4,X5)
    | ~ subset_collections(X24,f24(X4,X5)) ) ).

cnf(compact_space_102,axiom,
    ( subset_collections(f23(X4,X5,X23),X23)
    | ~ open_covering(X23,X4,X5)
    | ~ compact_space(X4,X5) ) ).

cnf(u336,axiom,
    ( neighborhood(f16(X3,X2,X0,X1),X3,X0,X1)
    | ~ subset_sets(X2,X0)
    | ~ topological_space(X0,X1)
    | ~ neighborhood(X4,X3,X0,X1)
    | ~ eq_p(f15(X3,X2,X0,X1,X4),X3) ) ).

cnf(topological_space_14,axiom,
    ( subset_collections(f5(X4,X5),X5)
    | ~ element_of_collection(empty_set,X5)
    | topological_space(X4,X5)
    | ~ equal_sets(union_of_members(X5),X4)
    | ~ element_of_collection(X4,X5)
    | element_of_collection(f4(X4,X5),X5) ) ).

cnf(topological_space_7,axiom,
    ( equal_sets(union_of_members(X5),X4)
    | ~ topological_space(X4,X5) ) ).

cnf(u117,axiom,
    ( sP2(X5,X0,X6)
    | ~ topological_space(X4,X5)
    | element_of_collection(X0,subspace_topology(X4,X5,X6))
    | ~ subset_sets(X6,X4) ) ).

cnf(open_covering_98,axiom,
    ( equal_sets(union_of_members(X1),X4)
    | ~ open_covering(X1,X4,X5) ) ).

cnf(basis_for_topology_36,axiom,
    ( basis(X4,X1)
    | ~ element_of_collection(X11,X1)
    | ~ equal_sets(union_of_members(X1),X4)
    | ~ element_of_set(f7(X4,X1),X11)
    | ~ subset_sets(X11,intersection_of_sets(f8(X4,X1),f9(X4,X1))) ) ).

cnf(basis_for_topology_29,axiom,
    ( element_of_set(X6,f6(X4,X1,X6,X9,X10))
    | ~ element_of_collection(X9,X1)
    | ~ element_of_collection(X10,X1)
    | ~ element_of_set(X6,X4)
    | ~ element_of_set(X6,intersection_of_sets(X9,X10))
    | ~ basis(X4,X1) ) ).

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

cnf(u120,axiom,
    ( element_of_collection(union_of_members(X0),X1)
    | ~ subset_collections(X0,X1)
    | ~ topological_space(X2,X1) ) ).

cnf(u113,axiom,
    ( sP0(X5)
    | element_of_collection(union_of_members(X1),X5)
    | ~ subset_collections(X1,X5) ) ).

cnf(subspace_topology_43,axiom,
    ( subset_sets(X6,X4)
    | ~ element_of_collection(X0,subspace_topology(X4,X5,X6)) ) ).

cnf(basis_for_topology_32,axiom,
    ( basis(X4,X1)
    | ~ equal_sets(union_of_members(X1),X4)
    | element_of_set(f7(X4,X1),X4) ) ).

cnf(finer_topology_25,axiom,
    ( topological_space(X4,X8)
    | ~ finer(X5,X8,X4) ) ).

cnf(closed_set_22,axiom,
    ( open(relative_complement_sets(X0,X4),X4,X5)
    | ~ closed(X0,X4,X5) ) ).

cnf(topological_space_15,axiom,
    ( topological_space(X4,X5)
    | ~ element_of_collection(empty_set,X5)
    | ~ element_of_collection(X4,X5)
    | ~ equal_sets(union_of_members(X5),X4)
    | element_of_collection(f4(X4,X5),X5)
    | ~ element_of_collection(union_of_members(f5(X4,X5)),X5) ) ).

cnf(u329,axiom,
    ( element_of_collection(X2,subspace_topology(X0,X1,X3))
    | ~ topological_space(X0,X1)
    | ~ subset_sets(X3,X0)
    | ~ equal_sets(X2,intersection_of_sets(X3,X4))
    | ~ element_of_collection(X4,X1) ) ).

cnf(neighborhood_62,axiom,
    ( neighborhood(X0,X6,X4,X5)
    | ~ element_of_set(X6,X0)
    | ~ open(X0,X4,X5)
    | ~ topological_space(X4,X5) ) ).

cnf(closure_55,axiom,
    ( element_of_set(X0,X15)
    | ~ subset_sets(X6,X15)
    | ~ closed(X15,X4,X5)
    | ~ element_of_set(X0,closure(X6,X4,X5)) ) ).

cnf(subspace_topology_44,axiom,
    ( element_of_collection(f12(X4,X5,X6,X0),X5)
    | ~ element_of_collection(X0,subspace_topology(X4,X5,X6)) ) ).

cnf(topology_generated_37,axiom,
    ( element_of_set(X4,f10(X1,X0,X4))
    | ~ element_of_collection(X0,top_of_basis(X1))
    | ~ element_of_set(X4,X0) ) ).

cnf(open_set_18,axiom,
    ( topological_space(X4,X5)
    | ~ open(X0,X4,X5) ) ).

cnf(hausdorff_78,axiom,
    ( hausdorff(X4,X5)
    | ~ topological_space(X4,X5)
    | element_of_set(f20(X4,X5),X4) ) ).

cnf(boundary_71,axiom,
    ( element_of_set(X0,closure(relative_complement_sets(X6,X4),X4,X5))
    | ~ element_of_set(X0,boundary(X6,X4,X5)) ) ).

cnf(closure_58,axiom,
    ( element_of_set(X0,closure(X6,X4,X5))
    | ~ topological_space(X4,X5)
    | ~ subset_sets(X6,X4)
    | ~ element_of_set(X0,f14(X6,X4,X5,X0)) ) ).

cnf(interior_51,axiom,
    ( open(f13(X6,X4,X5,X0),X4,X5)
    | ~ element_of_set(X0,interior(X6,X4,X5)) ) ).

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

cnf(hausdorff_74,axiom,
    ( eq_p(X17,X18)
    | ~ element_of_set(X17,X4)
    | ~ element_of_set(X18,X4)
    | ~ hausdorff(X4,X5)
    | neighborhood(f17(X4,X5,X17,X18),X17,X4,X5) ) ).

cnf(limit_point_67,axiom,
    ( limit_point(X7,X6,X4,X5)
    | ~ topological_space(X4,X5)
    | ~ subset_sets(X6,X4)
    | neighborhood(f16(X7,X6,X4,X5),X7,X4,X5) ) ).

cnf(open_covering_96,axiom,
    ( topological_space(X4,X5)
    | ~ open_covering(X1,X4,X5) ) ).

cnf(separation_86,axiom,
    ( equal_sets(union_of_sets(X21,X22),X4)
    | ~ separation(X21,X22,X4,X5) ) ).

cnf(hausdorff_79,axiom,
    ( hausdorff(X4,X5)
    | ~ topological_space(X4,X5)
    | ~ eq_p(f19(X4,X5),f20(X4,X5)) ) ).

cnf(limit_point_68,axiom,
    ( limit_point(X7,X6,X4,X5)
    | ~ topological_space(X4,X5)
    | eq_p(X16,X7)
    | ~ subset_sets(X6,X4)
    | ~ element_of_set(X16,intersection_of_sets(f16(X7,X6,X4,X5),X6)) ) ).

cnf(u119,axiom,
    ( element_of_set(X0,boundary(X6,X4,X5))
    | ~ element_of_set(X0,closure(X6,X4,X5))
    | ~ element_of_set(X0,closure(relative_complement_sets(X6,X4),X4,X5)) ) ).

cnf(compact_space_101,axiom,
    ( finite(f23(X4,X5,X23))
    | ~ open_covering(X23,X4,X5)
    | ~ compact_space(X4,X5) ) ).

cnf(separation_82,axiom,
    ( ~ separation(X21,X22,X4,X5)
    | ~ equal_sets(X21,empty_set) ) ).

cnf(open_set_20,axiom,
    ( open(X0,X4,X5)
    | ~ topological_space(X4,X5)
    | ~ element_of_collection(X0,X5) ) ).

cnf(topological_space_13,axiom,
    ( topological_space(X4,X5)
    | ~ element_of_collection(empty_set,X5)
    | ~ element_of_collection(X4,X5)
    | ~ equal_sets(union_of_members(X5),X4)
    | element_of_collection(f3(X4,X5),X5)
    | ~ element_of_collection(union_of_members(f5(X4,X5)),X5) ) ).

cnf(u115,axiom,
    ( sP1(X5)
    | ~ topological_space(X4,X5) ) ).

cnf(compact_space_104,axiom,
    ( compact_space(X4,X5)
    | ~ topological_space(X4,X5)
    | open_covering(f24(X4,X5),X4,X5) ) ).

cnf(open_covering_97,axiom,
    ( subset_collections(X1,X5)
    | ~ open_covering(X1,X4,X5) ) ).

cnf(finer_topology_27,axiom,
    ( finer(X5,X8,X4)
    | ~ topological_space(X4,X8)
    | ~ topological_space(X4,X5)
    | ~ subset_collections(X8,X5) ) ).

cnf(topological_space_16,axiom,
    ( subset_collections(f5(X4,X5),X5)
    | ~ element_of_collection(empty_set,X5)
    | topological_space(X4,X5)
    | ~ equal_sets(union_of_members(X5),X4)
    | ~ element_of_collection(X4,X5)
    | ~ element_of_collection(intersection_of_sets(f3(X4,X5),f4(X4,X5)),X5) ) ).

cnf(topological_space_9,axiom,
    ( element_of_collection(X4,X5)
    | ~ topological_space(X4,X5) ) ).

cnf(intersection_of_members_6,axiom,
    ( element_of_set(X0,intersection_of_members(X1))
    | ~ element_of_set(X0,f2(X1,X0)) ) ).

cnf(u331,axiom,
    ( ~ separation(X6,X7,X4,X5)
    | ~ topological_space(X4,X5)
    | ~ equal_sets(f21(X4,X5),empty_set) ) ).

cnf(interior_49,axiom,
    ( element_of_set(X0,f13(X6,X4,X5,X0))
    | ~ element_of_set(X0,interior(X6,X4,X5)) ) ).

cnf(topology_generated_39,axiom,
    ( subset_sets(f10(X1,X0,X4),X0)
    | ~ element_of_collection(X0,top_of_basis(X1))
    | ~ element_of_set(X4,X0) ) ).

cnf(union_of_members_2,axiom,
    ( element_of_collection(f1(X1,X0),X1)
    | ~ element_of_set(X0,union_of_members(X1)) ) ).

cnf(u343,axiom,
    ( equal_sets(X2,empty_set)
    | ~ element_of_collection(X2,X1)
    | ~ topological_space(X3,X1)
    | ~ element_of_collection(X0,X1)
    | equal_sets(X0,empty_set)
    | ~ equal_sets(union_of_sets(X2,X0),X3)
    | ~ disjoint_s(X2,X0)
    | ~ equal_sets(f21(X3,X1),empty_set) ) ).

cnf(neighborhood_61,axiom,
    ( element_of_set(X6,X0)
    | ~ neighborhood(X0,X6,X4,X5) ) ).

cnf(subspace_topology_42,axiom,
    ( topological_space(X4,X5)
    | ~ element_of_collection(X0,subspace_topology(X4,X5,X6)) ) ).

cnf(basis_for_topology_35,axiom,
    ( basis(X4,X1)
    | ~ equal_sets(union_of_members(X1),X4)
    | element_of_set(f7(X4,X1),intersection_of_sets(f8(X4,X1),f9(X4,X1))) ) ).

cnf(finer_topology_24,axiom,
    ( topological_space(X4,X5)
    | ~ finer(X5,X8,X4) ) ).

cnf(topological_space_17,axiom,
    ( topological_space(X4,X5)
    | ~ element_of_collection(empty_set,X5)
    | ~ element_of_collection(X4,X5)
    | ~ equal_sets(union_of_members(X5),X4)
    | ~ element_of_collection(union_of_members(f5(X4,X5)),X5)
    | ~ element_of_collection(intersection_of_sets(f3(X4,X5),f4(X4,X5)),X5) ) ).

cnf(separation_84,axiom,
    ( element_of_collection(X21,X5)
    | ~ separation(X21,X22,X4,X5) ) ).

cnf(hausdorff_77,axiom,
    ( hausdorff(X4,X5)
    | ~ topological_space(X4,X5)
    | element_of_set(f19(X4,X5),X4) ) ).

cnf(closure_57,axiom,
    ( closed(f14(X6,X4,X5,X0),X4,X5)
    | ~ topological_space(X4,X5)
    | element_of_set(X0,closure(X6,X4,X5))
    | ~ subset_sets(X6,X4) ) ).

cnf(u288,axiom,
    ( separation(f21(X0,X1),f22(X0,X1),X0,X1)
    | ~ topological_space(X0,X1)
    | ~ separation(X2,X3,X0,X1) ) ).

cnf(closure_54,axiom,
    ( subset_sets(X6,X4)
    | ~ element_of_set(X0,closure(X6,X4,X5)) ) ).

cnf(interior_47,axiom,
    ( topological_space(X4,X5)
    | ~ element_of_set(X0,interior(X6,X4,X5)) ) ).

cnf(connected_space_91,axiom,
    ( connected_space(X4,X5)
    | ~ topological_space(X4,X5)
    | separation(f21(X4,X5),f22(X4,X5),X4,X5) ) ).

cnf(hausdorff_80,axiom,
    ( hausdorff(X4,X5)
    | ~ topological_space(X4,X5)
    | ~ disjoint_s(X19,X20)
    | ~ neighborhood(X20,f20(X4,X5),X4,X5)
    | ~ neighborhood(X19,f19(X4,X5),X4,X5) ) ).

cnf(boundary_70,axiom,
    ( element_of_set(X0,closure(X6,X4,X5))
    | ~ element_of_set(X0,boundary(X6,X4,X5)) ) ).

cnf(interior_50,axiom,
    ( subset_sets(f13(X6,X4,X5,X0),X6)
    | ~ element_of_set(X0,interior(X6,X4,X5)) ) ).

cnf(problem_5_123,negated_conjecture,
    finer(ct1,ct2,cx) ).

cnf(compact_space_103,axiom,
    ( open_covering(f23(X4,X5,X23),X4,X5)
    | ~ open_covering(X23,X4,X5)
    | ~ compact_space(X4,X5) ) ).

cnf(separation_85,axiom,
    ( element_of_collection(X22,X5)
    | ~ separation(X21,X22,X4,X5) ) ).

cnf(limit_point_66,axiom,
    ( ~ limit_point(X7,X6,X4,X5)
    | ~ neighborhood(X0,X7,X4,X5)
    | ~ eq_p(f15(X7,X6,X4,X5,X0),X7) ) ).

cnf(intersection_of_members_4,axiom,
    ( element_of_set(X0,X3)
    | ~ element_of_collection(X3,X1)
    | ~ element_of_set(X0,intersection_of_members(X1)) ) ).

cnf(open_covering_99,axiom,
    ( open_covering(X1,X4,X5)
    | ~ topological_space(X4,X5)
    | ~ equal_sets(union_of_members(X1),X4)
    | ~ subset_collections(X1,X5) ) ).

cnf(separation_88,axiom,
    ( separation(X21,X22,X4,X5)
    | ~ element_of_collection(X22,X5)
    | ~ element_of_collection(X21,X5)
    | ~ topological_space(X4,X5)
    | equal_sets(X21,empty_set)
    | equal_sets(X22,empty_set)
    | ~ equal_sets(union_of_sets(X21,X22),X4)
    | ~ disjoint_s(X21,X22) ) ).

cnf(u330,axiom,
    ( ~ separation(X2,X3,X0,X1)
    | ~ topological_space(X0,X1)
    | ~ equal_sets(f22(X0,X1),empty_set) ) ).

cnf(u118,axiom,
    ( ~ sP2(X5,X0,X6)
    | ~ equal_sets(X0,intersection_of_sets(X6,X13))
    | ~ element_of_collection(X13,X5) ) ).

cnf(problem_5_124,negated_conjecture,
    subset_sets(a,cx) ).

cnf(u342,axiom,
    ( equal_sets(X6,empty_set)
    | ~ element_of_collection(X6,X5)
    | ~ topological_space(X7,X5)
    | ~ element_of_collection(X4,X5)
    | equal_sets(X4,empty_set)
    | ~ equal_sets(union_of_sets(X6,X4),X7)
    | ~ disjoint_s(X6,X4)
    | ~ equal_sets(f22(X7,X5),empty_set) ) ).

cnf(u337,axiom,
    ( eq_p(X2,X3)
    | ~ topological_space(X0,X1)
    | ~ subset_sets(X4,X0)
    | ~ element_of_set(X2,intersection_of_sets(f16(X3,X4,X0,X1),X4))
    | ~ neighborhood(X5,X3,X0,X1)
    | ~ eq_p(f15(X3,X4,X0,X1,X5),X3) ) ).

cnf(basis_for_topology_33,axiom,
    ( basis(X4,X1)
    | ~ equal_sets(union_of_members(X1),X4)
    | element_of_collection(f8(X4,X1),X1) ) ).

cnf(basis_for_topology_30,axiom,
    ( element_of_collection(f6(X4,X1,X6,X9,X10),X1)
    | ~ element_of_collection(X9,X1)
    | ~ element_of_collection(X10,X1)
    | ~ element_of_set(X6,X4)
    | ~ element_of_set(X6,intersection_of_sets(X9,X10))
    | ~ basis(X4,X1) ) ).

cnf(closed_set_23,axiom,
    ( closed(X0,X4,X5)
    | ~ topological_space(X4,X5)
    | ~ open(relative_complement_sets(X0,X4),X4,X5) ) ).

cnf(topological_space_12,axiom,
    ( subset_collections(f5(X4,X5),X5)
    | ~ element_of_collection(empty_set,X5)
    | topological_space(X4,X5)
    | ~ equal_sets(union_of_members(X5),X4)
    | ~ element_of_collection(X4,X5)
    | element_of_collection(f3(X4,X5),X5) ) ).

cnf(intersection_of_members_5,axiom,
    ( element_of_collection(f2(X1,X0),X1)
    | element_of_set(X0,intersection_of_members(X1)) ) ).

cnf(u114,axiom,
    ( ~ sP0(X5)
    | ~ topological_space(X4,X5) ) ).

cnf(interior_52,axiom,
    ( element_of_set(X0,interior(X6,X4,X5))
    | ~ subset_sets(X14,X6)
    | ~ topological_space(X4,X5)
    | ~ element_of_set(X0,X14)
    | ~ open(X14,X4,X5)
    | ~ subset_sets(X6,X4) ) ).

cnf(subspace_topology_45,axiom,
    ( equal_sets(X0,intersection_of_sets(X6,f12(X4,X5,X6,X0)))
    | ~ element_of_collection(X0,subspace_topology(X4,X5,X6)) ) ).

cnf(finer_topology_26,axiom,
    ( subset_collections(X8,X5)
    | ~ finer(X5,X8,X4) ) ).

cnf(open_set_19,axiom,
    ( element_of_collection(X0,X5)
    | ~ open(X0,X4,X5) ) ).

cnf(topological_space_8,axiom,
    ( element_of_collection(empty_set,X5)
    | ~ topological_space(X4,X5) ) ).

cnf(union_of_members_1,axiom,
    ( element_of_set(X0,f1(X1,X0))
    | ~ element_of_set(X0,union_of_members(X1)) ) ).

cnf(neighborhood_59,axiom,
    ( topological_space(X4,X5)
    | ~ neighborhood(X0,X6,X4,X5) ) ).

cnf(interior_48,axiom,
    ( subset_sets(X6,X4)
    | ~ element_of_set(X0,interior(X6,X4,X5)) ) ).

cnf(topology_generated_41,axiom,
    ( element_of_collection(X0,top_of_basis(X1))
    | ~ element_of_collection(X12,X1)
    | ~ subset_sets(X12,X0)
    | ~ element_of_set(f11(X1,X0),X12) ) ).

cnf(topology_generated_38,axiom,
    ( element_of_collection(f10(X1,X0,X4),X1)
    | ~ element_of_collection(X0,top_of_basis(X1))
    | ~ element_of_set(X4,X0) ) ).

cnf(basis_for_topology_31,axiom,
    ( subset_sets(f6(X4,X1,X6,X9,X10),intersection_of_sets(X9,X10))
    | ~ element_of_collection(X9,X1)
    | ~ element_of_collection(X10,X1)
    | ~ element_of_set(X6,X4)
    | ~ element_of_set(X6,intersection_of_sets(X9,X10))
    | ~ basis(X4,X1) ) ).

cnf(hausdorff_75,axiom,
    ( eq_p(X17,X18)
    | ~ element_of_set(X17,X4)
    | ~ element_of_set(X18,X4)
    | ~ hausdorff(X4,X5)
    | neighborhood(f18(X4,X5,X17,X18),X18,X4,X5) ) ).

cnf(neighborhood_60,axiom,
    ( open(X0,X4,X5)
    | ~ neighborhood(X0,X6,X4,X5) ) ).

cnf(closure_53,axiom,
    ( topological_space(X4,X5)
    | ~ element_of_set(X0,closure(X6,X4,X5)) ) ).

cnf(basis_for_topology_34,axiom,
    ( basis(X4,X1)
    | ~ equal_sets(union_of_members(X1),X4)
    | element_of_collection(f9(X4,X1),X1) ) ).

cnf(separation_87,axiom,
    ( disjoint_s(X21,X22)
    | ~ separation(X21,X22,X4,X5) ) ).

cnf(hausdorff_76,axiom,
    ( disjoint_s(f17(X4,X5,X17,X18),f18(X4,X5,X17,X18))
    | ~ element_of_set(X17,X4)
    | ~ element_of_set(X18,X4)
    | eq_p(X17,X18)
    | ~ hausdorff(X4,X5) ) ).

cnf(boundary_69,axiom,
    ( topological_space(X4,X5)
    | ~ element_of_set(X0,boundary(X6,X4,X5)) ) ).

cnf(closure_56,axiom,
    ( subset_sets(X6,f14(X6,X4,X5,X0))
    | ~ topological_space(X4,X5)
    | element_of_set(X0,closure(X6,X4,X5))
    | ~ subset_sets(X6,X4) ) ).

cnf(u116,axiom,
    ( element_of_collection(intersection_of_sets(X6,X7),X5)
    | ~ element_of_collection(X7,X5)
    | ~ element_of_collection(X6,X5)
    | ~ sP1(X5) ) ).

cnf(connected_space_90,axiom,
    ( ~ connected_space(X4,X5)
    | ~ separation(X21,X22,X4,X5) ) ).

cnf(separation_83,axiom,
    ( ~ separation(X21,X22,X4,X5)
    | ~ equal_sets(X22,empty_set) ) ).

cnf(limit_point_65,axiom,
    ( element_of_set(f15(X7,X6,X4,X5,X0),intersection_of_sets(X0,X6))
    | ~ neighborhood(X0,X7,X4,X5)
    | ~ limit_point(X7,X6,X4,X5) ) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : TOP010-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.15  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36  % Computer : n026.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Sat Aug 26 23:26:48 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_SAT_RFO_NEQ problem
% 0.15/0.36  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.ZWRqRIB4BF/Vampire---4.8_29456
% 0.15/0.37  % (29574)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43  % (29578)dis-1_128_add=large:amm=sco:anc=all_dependent:bs=on:bsr=on:bce=on:cond=fast:fsr=off:gsp=on:gs=on:gsem=off:lcm=predicate:lma=on:nm=32:nwc=4.0:nicw=on:sac=on:sp=weighted_frequency_692 on Vampire---4 for (692ds/0Mi)
% 0.21/0.43  % (29579)ott-1010_5_add=off:amm=off:anc=none:bce=on:cond=fast:flr=on:lma=on:nm=2:nwc=1.1:sp=occurrence:tgt=ground_470 on Vampire---4 for (470ds/0Mi)
% 0.21/0.43  % (29576)dis-1002_1_av=off:bsr=on:cond=on:flr=on:fsr=off:gsp=on:nwc=2.0:sims=off_1218 on Vampire---4 for (1218ds/0Mi)
% 0.21/0.43  % (29577)lrs+11_4:3_aac=none:add=off:amm=off:anc=none:bd=preordered:bs=on:bce=on:flr=on:fsd=off:fsr=off:fde=none:nwc=2.5:sims=off:sp=reverse_arity:tgt=full:stl=188_1106 on Vampire---4 for (1106ds/0Mi)
% 0.21/0.43  % (29575)lrs-1_7_acc=on:amm=off:anc=all:bs=on:bsr=on:cond=fast:flr=on:fsr=off:gsp=on:lcm=reverse:lma=on:msp=off:nm=0:nwc=1.2:sp=frequency:stl=188_1354 on Vampire---4 for (1354ds/0Mi)
% 0.21/0.43  % (29580)ott+10_8_br=off:cond=on:fsr=off:gsp=on:nm=16:nwc=3.0:sims=off:sp=reverse_frequency:urr=on_415 on Vampire---4 for (415ds/0Mi)
% 0.21/0.44  % (29578)First to succeed.
% 0.21/0.44  % SZS status Satisfiable for Vampire---4
% 0.21/0.44  % (29578)# SZS output start Saturation.
% See solution above
% 0.21/0.44  % (29578)------------------------------
% 0.21/0.44  % (29578)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.44  % (29578)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.44  % (29578)Termination reason: Satisfiable
% 0.21/0.44  
% 0.21/0.44  % (29578)Memory used [KB]: 10362
% 0.21/0.44  % (29578)Time elapsed: 0.016 s
% 0.21/0.44  % (29578)------------------------------
% 0.21/0.44  % (29578)------------------------------
% 0.21/0.44  % (29574)Success in time 0.077 s
% 0.21/0.44  % Vampire---4.8 exiting
%------------------------------------------------------------------------------