TSTP Solution File: TOP010-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : TOP010-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n011.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 : Wed Aug 31 19:53:21 EDT 2022

% Result   : Satisfiable 0.19s 0.52s
% Output   : Saturation 0.19s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(compact_set_109,axiom,
    ( compact_set(X3,X4,X5)
    | ~ topological_space(X4,X5)
    | ~ compact_space(X3,subspace_topology(X4,X5,X3))
    | ~ subset_sets(X3,X4) ) ).

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

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

cnf(compact_set_108,axiom,
    ( compact_space(X3,subspace_topology(X4,X5,X3))
    | ~ compact_set(X3,X4,X5) ) ).

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

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

cnf(u114,negated_conjecture,
    ( ~ open_covering(subspace_topology(cx,ct2,a),X0,subspace_topology(cx,ct1,a))
    | ~ topological_space(cx,subspace_topology(cx,ct2,a))
    | ~ topological_space(cx,subspace_topology(cx,ct1,a)) ) ).

cnf(connected_set_95,axiom,
    ( connected_set(X3,X4,X5)
    | ~ subset_sets(X3,X4)
    | ~ connected_space(X3,subspace_topology(X4,X5,X3))
    | ~ topological_space(X4,X5) ) ).

cnf(u121,axiom,
    ( connected_space(X2,X3)
    | ~ equal_sets(f22(X2,X3),empty_set)
    | ~ topological_space(X2,X3) ) ).

cnf(u122,axiom,
    ( connected_space(X4,X5)
    | ~ equal_sets(f21(X4,X5),empty_set)
    | ~ topological_space(X4,X5) ) ).

cnf(connected_set_94,axiom,
    ( connected_space(X3,subspace_topology(X4,X5,X3))
    | ~ connected_set(X3,X4,X5) ) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

cnf(interior_50,axiom,
    ( subset_sets(f13(X6,X4,X5,X0),X6)
    | ~ 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(basis_for_topology_31,axiom,
    ( subset_sets(f6(X4,X1,X6,X9,X10),intersection_of_sets(X9,X10))
    | ~ element_of_set(X6,X4)
    | ~ element_of_collection(X9,X1)
    | ~ element_of_set(X6,intersection_of_sets(X9,X10))
    | ~ element_of_collection(X10,X1)
    | ~ basis(X4,X1) ) ).

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(connected_set_93,axiom,
    ( subset_sets(X3,X4)
    | ~ connected_set(X3,X4,X5) ) ).

cnf(compact_set_107,axiom,
    ( subset_sets(X3,X4)
    | ~ compact_set(X3,X4,X5) ) ).

cnf(limit_point_64,axiom,
    ( subset_sets(X6,X4)
    | ~ limit_point(X7,X6,X4,X5) ) ).

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

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

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

cnf(basis_for_topology_36,axiom,
    ( basis(X4,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)))
    | ~ element_of_collection(X11,X1) ) ).

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

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

cnf(u115,negated_conjecture,
    ( ~ finer(subspace_topology(cx,ct1,a),subspace_topology(cx,ct2,a),X1)
    | ~ topological_space(cx,subspace_topology(cx,ct2,a))
    | ~ topological_space(cx,subspace_topology(cx,ct1,a)) ) ).

cnf(problem_5_125,negated_conjecture,
    ~ finer(subspace_topology(cx,ct1,a),subspace_topology(cx,ct2,a),cx) ).

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

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

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

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

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

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

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

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

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

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

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

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

cnf(u113,negated_conjecture,
    ( ~ subset_collections(subspace_topology(cx,ct2,a),subspace_topology(cx,ct1,a))
    | ~ topological_space(cx,subspace_topology(cx,ct2,a))
    | ~ topological_space(cx,subspace_topology(cx,ct1,a)) ) ).

cnf(u123,axiom,
    ( equal_sets(X2,empty_set)
    | ~ topological_space(X0,X1)
    | equal_sets(X3,empty_set)
    | ~ element_of_collection(X2,X1)
    | ~ element_of_collection(X3,X1)
    | ~ connected_space(X0,X1)
    | ~ disjoint_s(X3,X2)
    | ~ equal_sets(union_of_sets(X3,X2),X0) ) ).

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

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

cnf(basis_for_topology_28,axiom,
    ( equal_sets(union_of_members(X1),X4)
    | ~ basis(X4,X1) ) ).

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

cnf(compact_set_106,axiom,
    ( topological_space(X4,X5)
    | ~ compact_set(X3,X4,X5) ) ).

cnf(compact_space_100,axiom,
    ( topological_space(X4,X5)
    | ~ compact_space(X4,X5) ) ).

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

cnf(connected_set_92,axiom,
    ( topological_space(X4,X5)
    | ~ connected_set(X3,X4,X5) ) ).

cnf(connected_space_89,axiom,
    ( topological_space(X4,X5)
    | ~ connected_space(X4,X5) ) ).

cnf(separation_81,axiom,
    ( topological_space(X4,X5)
    | ~ separation(X21,X22,X4,X5) ) ).

cnf(hausdorff_73,axiom,
    ( topological_space(X4,X5)
    | ~ hausdorff(X4,X5) ) ).

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

cnf(limit_point_63,axiom,
    ( topological_space(X4,X5)
    | ~ limit_point(X7,X6,X4,X5) ) ).

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

cnf(closure_53,axiom,
    ( topological_space(X4,X5)
    | ~ 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(subspace_topology_42,axiom,
    ( topological_space(X4,X5)
    | ~ element_of_collection(X0,subspace_topology(X4,X5,X6)) ) ).

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

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

cnf(closed_set_21,axiom,
    ( topological_space(X4,X5)
    | ~ closed(X0,X4,X5) ) ).

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

cnf(topological_space_17,axiom,
    ( topological_space(X4,X5)
    | ~ element_of_collection(intersection_of_sets(f3(X4,X5),f4(X4,X5)),X5)
    | ~ element_of_collection(union_of_members(f5(X4,X5)),X5)
    | ~ element_of_collection(X4,X5)
    | ~ equal_sets(union_of_members(X5),X4)
    | ~ element_of_collection(empty_set,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_38,axiom,
    ( element_of_collection(f10(X1,X0,X4),X1)
    | ~ element_of_set(X4,X0)
    | ~ element_of_collection(X0,top_of_basis(X1)) ) ).

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

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

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

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

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

cnf(topological_space_10,axiom,
    ( element_of_collection(intersection_of_sets(X6,X7),X5)
    | ~ element_of_collection(X7,X5)
    | ~ topological_space(X4,X5)
    | ~ element_of_collection(X6,X5) ) ).

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

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

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

cnf(topological_space_11,axiom,
    ( element_of_collection(union_of_members(X1),X5)
    | ~ subset_collections(X1,X5)
    | ~ topological_space(X4,X5) ) ).

cnf(subspace_topology_46,axiom,
    ( element_of_collection(X0,subspace_topology(X4,X5,X6))
    | ~ subset_sets(X6,X4)
    | ~ element_of_collection(X13,X5)
    | ~ topological_space(X4,X5)
    | ~ equal_sets(X0,intersection_of_sets(X6,X13)) ) ).

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

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

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

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

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

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

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

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) ) ).

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

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

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

cnf(boundary_72,axiom,
    ( element_of_set(X0,boundary(X6,X4,X5))
    | ~ topological_space(X4,X5)
    | ~ element_of_set(X0,closure(relative_complement_sets(X6,X4),X4,X5))
    | ~ element_of_set(X0,closure(X6,X4,X5)) ) ).

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

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

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

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

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

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

cnf(union_of_members_1,axiom,
    ( element_of_set(X0,f1(X1,X0))
    | ~ element_of_set(X0,union_of_members(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(neighborhood_61,axiom,
    ( element_of_set(X6,X0)
    | ~ neighborhood(X0,X6,X4,X5) ) ).

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


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : TOP010-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n011.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Mon Aug 29 14:31:39 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.48  % (28690)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.49  % (28714)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.49  % (28690)Refutation not found, incomplete strategy% (28690)------------------------------
% 0.19/0.49  % (28690)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49  % (28690)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49  % (28690)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.49  
% 0.19/0.49  % (28690)Memory used [KB]: 5628
% 0.19/0.49  % (28690)Time elapsed: 0.089 s
% 0.19/0.49  % (28690)Instructions burned: 6 (million)
% 0.19/0.49  % (28690)------------------------------
% 0.19/0.49  % (28690)------------------------------
% 0.19/0.50  % (28693)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50  % (28699)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51  % (28696)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51  % (28696)Instruction limit reached!
% 0.19/0.51  % (28696)------------------------------
% 0.19/0.51  % (28696)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (28696)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (28696)Termination reason: Unknown
% 0.19/0.51  % (28696)Termination phase: Saturation
% 0.19/0.51  
% 0.19/0.51  % (28696)Memory used [KB]: 5628
% 0.19/0.51  % (28696)Time elapsed: 0.109 s
% 0.19/0.51  % (28696)Instructions burned: 7 (million)
% 0.19/0.51  % (28696)------------------------------
% 0.19/0.51  % (28696)------------------------------
% 0.19/0.51  % (28712)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.51  % (28698)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52  % (28704)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.52  % (28698)First to succeed.
% 0.19/0.52  % (28700)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.52  % (28691)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.52  % (28717)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.52  % SZS status Satisfiable for theBenchmark
% 0.19/0.52  % (28698)# SZS output start Saturation.
% See solution above
% 0.19/0.52  % (28698)------------------------------
% 0.19/0.52  % (28698)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (28698)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (28698)Termination reason: Satisfiable
% 0.19/0.52  
% 0.19/0.52  % (28698)Memory used [KB]: 1151
% 0.19/0.52  % (28698)Time elapsed: 0.123 s
% 0.19/0.52  % (28698)Instructions burned: 4 (million)
% 0.19/0.52  % (28698)------------------------------
% 0.19/0.52  % (28698)------------------------------
% 0.19/0.52  % (28688)Success in time 0.176 s
%------------------------------------------------------------------------------