TSTP Solution File: TOP018-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : TOP018-1 : 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 : n024.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 19:53:23 EDT 2022
% Result : Satisfiable 1.79s 0.59s
% Output : Saturation 1.79s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u384,axiom,
element_of_collection(intersection_of_members(top_of_basis(X2)),top_of_basis(X3)) ).
cnf(u387,axiom,
subset_sets(X0,X1) ).
cnf(u391,axiom,
topological_space(X13,X14) ).
cnf(u395,axiom,
( topological_space(X5,X8)
| subset_sets(X4,X5) ) ).
cnf(u841,axiom,
hausdorff(intersection_of_members(X2),X3) ).
cnf(u914,axiom,
hausdorff(boundary(X0,X1,X2),X3) ).
cnf(u917,axiom,
~ disjoint_s(X4,union_of_members(X5)) ).
cnf(u959,axiom,
hausdorff(closure(X0,X1,X2),X3) ).
cnf(u1012,axiom,
~ disjoint_s(a,b) ).
cnf(u1137,axiom,
~ hausdorff(union_of_members(X3),X4) ).
cnf(u1152,axiom,
~ hausdorff(interior(X7,X8,X9),X10) ).
cnf(compact_space_101,axiom,
( finite(f23(X4,X5,X23))
| ~ open_covering(X23,X4,X5)
| ~ compact_space(X4,X5) ) ).
cnf(u599,axiom,
( compact_space(X0,subspace_topology(X1,X2,X3))
| ~ compact_set(X3,X1,X2) ) ).
cnf(u755,axiom,
( ~ compact_space(X3,f24(X4,X5))
| ~ subset_collections(X5,f24(X4,X5))
| compact_space(X4,X5) ) ).
cnf(u598,axiom,
( ~ compact_space(X0,X1)
| compact_space(X2,X1) ) ).
cnf(compact_set_109,axiom,
( ~ compact_space(X3,subspace_topology(X4,X5,X3))
| ~ topological_space(X4,X5)
| ~ subset_sets(X3,X4)
| compact_set(X3,X4,X5) ) ).
cnf(u374,axiom,
( open_covering(f23(X1,X2,X0),X1,X3)
| ~ topological_space(X1,X3)
| ~ open_covering(X0,X1,X2)
| ~ compact_space(X1,X2)
| ~ subset_collections(f23(X1,X2,X0),X3) ) ).
cnf(compact_space_103,axiom,
( open_covering(f23(X4,X5,X23),X4,X5)
| ~ compact_space(X4,X5)
| ~ open_covering(X23,X4,X5) ) ).
cnf(u434,axiom,
( open_covering(X0,intersection_of_sets(X3,f12(X1,X2,X3,union_of_members(X0))),X4)
| ~ subset_collections(X0,X4) ) ).
cnf(u338,axiom,
( open_covering(X0,X1,X2)
| ~ subset_collections(X0,X2)
| ~ basis(X1,X0)
| ~ topological_space(X1,X2) ) ).
cnf(u339,axiom,
( open_covering(X3,X4,X5)
| ~ subset_collections(X3,X5)
| ~ topological_space(X4,X3)
| ~ topological_space(X4,X5) ) ).
cnf(u340,axiom,
( open_covering(f24(X6,X7),X6,X8)
| ~ topological_space(X6,X7)
| ~ subset_collections(f24(X6,X7),X8)
| compact_space(X6,X7)
| ~ topological_space(X6,X8) ) ).
cnf(compact_space_104,axiom,
( open_covering(f24(X4,X5),X4,X5)
| compact_space(X4,X5)
| ~ topological_space(X4,X5) ) ).
cnf(u351,axiom,
( ~ open_covering(f24(X0,f24(X1,X2)),X1,X2)
| ~ topological_space(X0,f24(X1,X2))
| compact_space(X0,f24(X1,X2))
| compact_space(X1,X2)
| ~ finite(f24(X0,f24(X1,X2))) ) ).
cnf(u354,axiom,
( ~ open_covering(f23(X7,f24(X8,X9),X10),X8,X9)
| ~ open_covering(X10,X7,f24(X8,X9))
| ~ compact_space(X7,f24(X8,X9))
| compact_space(X8,X9) ) ).
cnf(u355,axiom,
( ~ open_covering(f23(X3,X4,f24(X5,X6)),X5,X6)
| ~ compact_space(X3,X4)
| compact_space(X5,X6)
| ~ open_covering(f24(X5,X6),X3,X4) ) ).
cnf(u747,axiom,
( ~ open_covering(X1,X2,f24(X0,X1))
| ~ compact_space(X2,f24(X0,X1))
| compact_space(X0,X1) ) ).
cnf(open_covering_97,axiom,
( ~ open_covering(X1,X4,X5)
| subset_collections(X1,X5) ) ).
cnf(open_covering_98,axiom,
( ~ open_covering(X1,X4,X5)
| equal_sets(union_of_members(X1),X4) ) ).
cnf(u1035,negated_conjecture,
connected_set(a,X0,X1) ).
cnf(u1030,axiom,
( ~ connected_set(X0,X2,X3)
| connected_space(X0,X1) ) ).
cnf(u114,negated_conjecture,
~ connected_set(sF0,cx,ct) ).
cnf(u1031,negated_conjecture,
connected_space(a,X0) ).
cnf(u1041,axiom,
( ~ connected_space(intersection_of_sets(X13,f12(X14,X15,X13,union_of_sets(X11,X12))),X16)
| equal_sets(X11,empty_set)
| equal_sets(X12,empty_set)
| ~ disjoint_s(X11,X12) ) ).
cnf(u1029,axiom,
( ~ connected_space(X8,X10)
| connected_space(X8,X9) ) ).
cnf(connected_set_95,axiom,
( ~ connected_space(X3,subspace_topology(X4,X5,X3))
| ~ subset_sets(X3,X4)
| connected_set(X3,X4,X5)
| ~ topological_space(X4,X5) ) ).
cnf(u999,axiom,
( separation(X3,X7,intersection_of_sets(X4,f12(X5,X6,X4,union_of_sets(X3,X7))),X8)
| equal_sets(X3,empty_set)
| equal_sets(X7,empty_set)
| ~ disjoint_s(X3,X7) ) ).
cnf(u1005,axiom,
( separation(f21(X0,X1),f22(X0,X1),X0,X2)
| connected_space(X0,X1) ) ).
cnf(connected_space_90,axiom,
( ~ separation(X21,X22,X4,X5)
| ~ connected_space(X4,X5) ) ).
cnf(separation_87,axiom,
( ~ separation(X21,X22,X4,X5)
| disjoint_s(X21,X22) ) ).
cnf(separation_86,axiom,
( ~ separation(X21,X22,X4,X5)
| equal_sets(union_of_sets(X21,X22),X4) ) ).
cnf(separation_83,axiom,
( ~ separation(X21,X22,X4,X5)
| ~ equal_sets(X22,empty_set) ) ).
cnf(separation_82,axiom,
( ~ separation(X21,X22,X4,X5)
| ~ equal_sets(X21,empty_set) ) ).
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)
| ~ hausdorff(X4,X5)
| ~ element_of_set(X17,X4) ) ).
cnf(u449,axiom,
( disjoint_s(f21(X6,X7),f22(X6,X7))
| connected_space(X6,X7) ) ).
cnf(u1096,axiom,
( ~ disjoint_s(f18(X1,X2,X0,f19(X3,X4)),X3)
| ~ hausdorff(X1,X2)
| eq_p(X0,f19(X3,X4))
| ~ element_of_set(f19(X3,X4),X1)
| hausdorff(X3,X4)
| ~ open(X3,X3,X4)
| ~ element_of_set(X0,X1) ) ).
cnf(u1091,axiom,
( ~ disjoint_s(f17(X2,X4,f19(X0,X1),X3),X0)
| ~ open(X0,X0,X1)
| ~ element_of_set(X3,X2)
| eq_p(f19(X0,X1),X3)
| ~ element_of_set(f19(X0,X1),X2)
| hausdorff(X0,X1)
| ~ hausdorff(X2,X4) ) ).
cnf(u1075,axiom,
( ~ disjoint_s(f16(f19(X0,X1),X2,X3,X4),X0)
| limit_point(f19(X0,X1),X2,X3,X4)
| hausdorff(X0,X1)
| ~ open(X0,X0,X1) ) ).
cnf(u741,axiom,
( ~ disjoint_s(f16(f19(X4,X5),X6,X4,X5),X7)
| ~ element_of_set(f20(X4,X5),X7)
| limit_point(f19(X4,X5),X6,X4,X5)
| ~ open(X7,X4,X5)
| hausdorff(X4,X5) ) ).
cnf(u980,axiom,
( ~ disjoint_s(f13(X5,X6,X7,f19(X3,X4)),X3)
| hausdorff(X3,X4)
| ~ open(X3,X3,X4) ) ).
cnf(u877,axiom,
( ~ disjoint_s(interior(X0,X1,X2),X3)
| ~ open(X3,X3,X4)
| hausdorff(X3,X4) ) ).
cnf(u1049,axiom,
( ~ disjoint_s(f10(X2,X3,f19(X0,X1)),X0)
| ~ element_of_set(f19(X0,X1),X3)
| hausdorff(X0,X1)
| ~ open(X0,X0,X1) ) ).
cnf(u1086,axiom,
( ~ disjoint_s(f6(X0,X1,f19(X2,X3),X4,X5),X2)
| ~ open(X2,X2,X3)
| ~ element_of_set(f19(X2,X3),X0)
| ~ element_of_set(f19(X2,X3),intersection_of_sets(X4,X5))
| hausdorff(X2,X3) ) ).
cnf(u921,axiom,
( ~ disjoint_s(f1(X2,f19(X0,X1)),X0)
| hausdorff(X0,X1)
| ~ open(X0,X0,X1) ) ).
cnf(u874,axiom,
( ~ disjoint_s(union_of_members(X2),X0)
| ~ open(X0,X0,X1)
| hausdorff(X0,X1) ) ).
cnf(u1109,axiom,
( ~ disjoint_s(X5,f18(X3,X4,X2,f20(X0,X1)))
| hausdorff(X0,X1)
| ~ element_of_set(f20(X0,X1),X3)
| ~ element_of_set(X2,X3)
| ~ element_of_set(f19(X0,X1),X5)
| ~ open(X5,X0,X1)
| eq_p(X2,f20(X0,X1))
| ~ hausdorff(X3,X4) ) ).
cnf(u1104,axiom,
( ~ disjoint_s(X0,f17(X1,X2,f20(X3,X4),X5))
| ~ element_of_set(X5,X1)
| ~ element_of_set(f19(X3,X4),X0)
| hausdorff(X3,X4)
| ~ element_of_set(f20(X3,X4),X1)
| eq_p(f20(X3,X4),X5)
| ~ open(X0,X3,X4)
| ~ hausdorff(X1,X2) ) ).
cnf(u1083,axiom,
( ~ disjoint_s(X2,f16(f20(X0,X1),X3,X4,X5))
| limit_point(f20(X0,X1),X3,X4,X5)
| ~ element_of_set(f19(X0,X1),X2)
| hausdorff(X0,X1)
| ~ open(X2,X0,X1) ) ).
cnf(u556,axiom,
( ~ disjoint_s(X4,f16(f20(X5,X6),X7,X5,X6))
| ~ neighborhood(X4,f19(X5,X6),X5,X6)
| limit_point(f20(X5,X6),X7,X5,X6)
| hausdorff(X5,X6) ) ).
cnf(u1070,axiom,
( ~ disjoint_s(X4,f13(X7,X8,X9,f20(X5,X6)))
| hausdorff(X5,X6)
| ~ open(X4,X5,X6)
| ~ element_of_set(f19(X5,X6),X4) ) ).
cnf(u975,axiom,
( ~ disjoint_s(X2,interior(X3,X4,X5))
| ~ open(X2,X0,X1)
| hausdorff(X0,X1)
| ~ element_of_set(f19(X0,X1),X2) ) ).
cnf(u1078,axiom,
( ~ disjoint_s(X3,f10(X4,X2,f20(X0,X1)))
| ~ element_of_set(f20(X0,X1),X2)
| ~ element_of_set(f19(X0,X1),X3)
| ~ open(X3,X0,X1)
| hausdorff(X0,X1) ) ).
cnf(u1099,axiom,
( ~ disjoint_s(X4,f6(X5,X6,f20(X0,X1),X2,X3))
| hausdorff(X0,X1)
| ~ element_of_set(f20(X0,X1),X5)
| ~ element_of_set(f19(X0,X1),X4)
| ~ open(X4,X0,X1)
| ~ element_of_set(f20(X0,X1),intersection_of_sets(X2,X3)) ) ).
cnf(u992,axiom,
( ~ disjoint_s(X0,f1(X1,f20(X2,X3)))
| hausdorff(X2,X3)
| ~ open(X0,X2,X3)
| ~ element_of_set(f19(X2,X3),X0) ) ).
cnf(u871,axiom,
( ~ disjoint_s(X0,X0)
| hausdorff(X0,X1) ) ).
cnf(u1169,axiom,
( ~ hausdorff(X0,X2)
| eq_p(f19(X0,X1),f20(X0,X1))
| hausdorff(X0,X1) ) ).
cnf(u709,axiom,
( eq_p(f15(X27,X28,X29,X30,f16(X31,X28,X32,X33)),X31)
| ~ limit_point(X27,X28,X29,X30)
| limit_point(X31,X28,X32,X33)
| ~ neighborhood(f16(X31,X28,X32,X33),X27,X29,X30) ) ).
cnf(u719,axiom,
( eq_p(f19(intersection_of_sets(f16(X34,X35,X36,X37),X35),X38),X34)
| limit_point(X34,X35,X36,X37)
| hausdorff(intersection_of_sets(f16(X34,X35,X36,X37),X35),X38) ) ).
cnf(u716,axiom,
( eq_p(f20(intersection_of_sets(f16(X61,X62,X63,X64),X62),X65),X61)
| hausdorff(intersection_of_sets(f16(X61,X62,X63,X64),X62),X65)
| limit_point(X61,X62,X63,X64) ) ).
cnf(limit_point_66,axiom,
( ~ eq_p(f15(X7,X6,X4,X5,X0),X7)
| ~ limit_point(X7,X6,X4,X5)
| ~ neighborhood(X0,X7,X4,X5) ) ).
cnf(hausdorff_79,axiom,
( ~ eq_p(f19(X4,X5),f20(X4,X5))
| hausdorff(X4,X5)
| ~ topological_space(X4,X5) ) ).
cnf(u1062,negated_conjecture,
( limit_point(X0,a,X1,X2)
| ~ element_of_set(X0,b) ) ).
cnf(u643,axiom,
( limit_point(X0,X4,X5,X6)
| element_of_set(X0,interior(X1,X2,X3)) ) ).
cnf(u551,axiom,
( limit_point(X0,X1,X2,X3)
| element_of_set(X0,union_of_members(X4)) ) ).
cnf(u1061,axiom,
( ~ limit_point(X0,X1,X2,X3)
| limit_point(X0,X1,X4,X5) ) ).
cnf(hausdorff_75,axiom,
( neighborhood(f18(X4,X5,X17,X18),X18,X4,X5)
| ~ element_of_set(X18,X4)
| ~ element_of_set(X17,X4)
| eq_p(X17,X18)
| ~ hausdorff(X4,X5) ) ).
cnf(hausdorff_74,axiom,
( neighborhood(f17(X4,X5,X17,X18),X17,X4,X5)
| eq_p(X17,X18)
| ~ hausdorff(X4,X5)
| ~ element_of_set(X17,X4)
| ~ element_of_set(X18,X4) ) ).
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)
| ~ element_of_set(X6,X0)
| ~ open(X0,X4,X5)
| ~ topological_space(X4,X5) ) ).
cnf(u557,axiom,
( ~ neighborhood(X0,f19(X1,X2),X1,X2)
| ~ disjoint_s(X0,X3)
| hausdorff(X1,X2)
| ~ element_of_set(f20(X1,X2),X3)
| ~ open(X3,X1,X2) ) ).
cnf(u115,axiom,
( ~ neighborhood(X20,f20(X4,X5),X4,X5)
| ~ neighborhood(X19,f19(X4,X5),X4,X5)
| ~ disjoint_s(X19,X20)
| hausdorff(X4,X5) ) ).
cnf(neighborhood_61,axiom,
( ~ neighborhood(X0,X6,X4,X5)
| element_of_set(X6,X0) ) ).
cnf(neighborhood_60,axiom,
( ~ neighborhood(X0,X6,X4,X5)
| open(X0,X4,X5) ) ).
cnf(u794,axiom,
basis(X2,X3) ).
cnf(finer_topology_27,axiom,
( finer(X5,X8,X4)
| ~ topological_space(X4,X8)
| ~ topological_space(X4,X5)
| ~ subset_collections(X8,X5) ) ).
cnf(finer_topology_26,axiom,
( ~ finer(X5,X8,X4)
| subset_collections(X8,X5) ) ).
cnf(u419,axiom,
closed(X5,X3,X4) ).
cnf(u574,axiom,
( open(f18(X1,X3,X2,X0),X1,X3)
| eq_p(X2,X0)
| ~ element_of_set(X0,X1)
| ~ hausdorff(X1,X3)
| ~ element_of_set(X2,X1) ) ).
cnf(u570,axiom,
( open(f17(X2,X3,X0,X1),X2,X3)
| eq_p(X0,X1)
| ~ element_of_set(X1,X2)
| ~ hausdorff(X2,X3)
| ~ element_of_set(X0,X2) ) ).
cnf(u548,axiom,
( open(f16(X0,X1,X2,X3),X2,X3)
| limit_point(X0,X1,X2,X3) ) ).
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(open_set_20,axiom,
( open(X0,X4,X5)
| ~ topological_space(X4,X5)
| ~ element_of_collection(X0,X5) ) ).
cnf(u348,axiom,
( subset_collections(f23(X3,X4,X5),X4)
| ~ open_covering(X5,X3,X4)
| ~ compact_space(X3,X4) ) ).
cnf(compact_space_102,axiom,
( subset_collections(f23(X4,X5,X23),X23)
| ~ compact_space(X4,X5)
| ~ open_covering(X23,X4,X5) ) ).
cnf(u209,axiom,
( subset_collections(f24(X2,X3),X3)
| compact_space(X2,X3)
| ~ topological_space(X2,X3) ) ).
cnf(u989,axiom,
( ~ subset_collections(f24(X2,f24(X3,X4)),X4)
| compact_space(X2,f24(X3,X4))
| compact_space(X3,X4)
| ~ finite(f24(X2,f24(X3,X4))) ) ).
cnf(u745,axiom,
( ~ subset_collections(f23(X1,f24(X2,X3),X0),X3)
| compact_space(X2,X3)
| ~ open_covering(X0,X1,f24(X2,X3))
| ~ compact_space(X1,f24(X2,X3)) ) ).
cnf(u584,axiom,
( ~ subset_collections(f23(X2,X3,f24(X4,X5)),X5)
| ~ compact_space(X2,X3)
| compact_space(X4,X5)
| ~ open_covering(f24(X4,X5),X2,X3) ) ).
cnf(u435,axiom,
( ~ subset_collections(X0,X1)
| equal_sets(union_of_members(X0),intersection_of_sets(X2,f12(X3,X4,X2,union_of_members(X0)))) ) ).
cnf(u117,axiom,
( ~ subset_collections(X24,f24(X4,X5))
| ~ open_covering(X24,X4,X5)
| ~ finite(X24)
| compact_space(X4,X5) ) ).
cnf(u1039,axiom,
( equal_sets(union_of_sets(X4,X5),intersection_of_sets(X6,f12(X7,X8,X6,union_of_sets(X4,X5))))
| equal_sets(X4,empty_set)
| ~ disjoint_s(X4,X5)
| equal_sets(X5,empty_set) ) ).
cnf(u450,axiom,
( equal_sets(union_of_sets(f21(X4,X5),f22(X4,X5)),X4)
| connected_space(X4,X5) ) ).
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(u439,axiom,
( equal_sets(union_of_members(f23(X11,X12,X13)),intersection_of_sets(X14,f12(X15,X16,X14,union_of_members(f23(X11,X12,X13)))))
| ~ compact_space(X11,X12)
| ~ open_covering(X13,X11,X12) ) ).
cnf(u440,axiom,
( equal_sets(union_of_members(f24(X0,X1)),intersection_of_sets(X2,f12(X3,X4,X2,union_of_members(f24(X0,X1)))))
| compact_space(X0,X1) ) ).
cnf(u347,axiom,
( equal_sets(union_of_members(f23(X0,X1,X2)),X0)
| ~ open_covering(X2,X0,X1)
| ~ compact_space(X0,X1) ) ).
cnf(u208,axiom,
( equal_sets(union_of_members(f24(X0,X1)),X0)
| ~ topological_space(X0,X1)
| compact_space(X0,X1) ) ).
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(u448,axiom,
( ~ equal_sets(f22(X2,X3),empty_set)
| connected_space(X2,X3) ) ).
cnf(u451,axiom,
( ~ equal_sets(f21(X0,X1),empty_set)
| connected_space(X0,X1) ) ).
cnf(separation_88,axiom,
( ~ equal_sets(union_of_sets(X21,X22),X4)
| equal_sets(X21,empty_set)
| ~ topological_space(X4,X5)
| separation(X21,X22,X4,X5)
| equal_sets(X22,empty_set)
| ~ disjoint_s(X21,X22)
| ~ element_of_collection(X21,X5)
| ~ element_of_collection(X22,X5) ) ).
cnf(open_covering_99,axiom,
( ~ equal_sets(union_of_members(X1),X4)
| open_covering(X1,X4,X5)
| ~ subset_collections(X1,X5)
| ~ topological_space(X4,X5) ) ).
cnf(u415,axiom,
element_of_collection(X3,X4) ).
cnf(u664,axiom,
( element_of_set(f20(X130,X131),interior(X132,X133,X134))
| hausdorff(X130,X131) ) ).
cnf(u427,axiom,
( element_of_set(f20(X23,X24),union_of_members(X25))
| hausdorff(X23,X24) ) ).
cnf(hausdorff_78,axiom,
( element_of_set(f20(X4,X5),X4)
| ~ topological_space(X4,X5)
| hausdorff(X4,X5) ) ).
cnf(u668,axiom,
( element_of_set(f19(X96,X97),interior(X98,X99,X100))
| hausdorff(X96,X97) ) ).
cnf(u428,axiom,
( element_of_set(f19(X20,X21),union_of_members(X22))
| hausdorff(X20,X21) ) ).
cnf(hausdorff_77,axiom,
( element_of_set(f19(X4,X5),X4)
| hausdorff(X4,X5)
| ~ topological_space(X4,X5) ) ).
cnf(u657,axiom,
( element_of_set(f15(X88,X89,X90,X91,X92),interior(X93,X94,X95))
| ~ limit_point(X88,X89,X90,X91)
| ~ neighborhood(X92,X88,X90,X91) ) ).
cnf(u543,axiom,
( element_of_set(f15(X1,X4,X2,X3,X0),union_of_members(X5))
| ~ neighborhood(X0,X1,X2,X3)
| ~ limit_point(X1,X4,X2,X3) ) ).
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(u575,axiom,
( element_of_set(X4,f18(X5,X7,X6,X4))
| eq_p(X6,X4)
| ~ hausdorff(X5,X7)
| ~ element_of_set(X6,X5)
| ~ element_of_set(X4,X5) ) ).
cnf(u571,axiom,
( element_of_set(X4,f17(X6,X7,X4,X5))
| ~ element_of_set(X5,X6)
| eq_p(X4,X5)
| ~ hausdorff(X6,X7)
| ~ element_of_set(X4,X6) ) ).
cnf(u550,axiom,
( element_of_set(X4,f16(X4,X5,X6,X7))
| limit_point(X4,X5,X6,X7) ) ).
cnf(interior_49,axiom,
( element_of_set(X0,f13(X6,X4,X5,X0))
| ~ element_of_set(X0,interior(X6,X4,X5)) ) ).
cnf(topology_generated_37,axiom,
( element_of_set(X4,f10(X1,X0,X4))
| ~ element_of_set(X4,X0)
| ~ element_of_collection(X0,top_of_basis(X1)) ) ).
cnf(basis_for_topology_29,axiom,
( element_of_set(X6,f6(X4,X1,X6,X9,X10))
| ~ element_of_set(X6,X4)
| ~ element_of_set(X6,intersection_of_sets(X9,X10))
| ~ element_of_collection(X10,X1)
| ~ element_of_collection(X9,X1)
| ~ basis(X4,X1) ) ).
cnf(union_of_members_1,axiom,
( element_of_set(X0,f1(X1,X0))
| ~ element_of_set(X0,union_of_members(X1)) ) ).
cnf(u1130,axiom,
( ~ element_of_set(f19(X66,X67),f18(X63,X64,X65,f20(X66,X67)))
| hausdorff(X66,X67)
| eq_p(f19(X66,X67),f20(X66,X67))
| eq_p(X65,f20(X66,X67))
| ~ element_of_set(f20(X66,X67),X63)
| ~ element_of_set(X65,X63)
| ~ hausdorff(f18(X63,X64,X65,f20(X66,X67)),X68)
| ~ hausdorff(X63,X64) ) ).
cnf(u1129,axiom,
( ~ element_of_set(f19(X59,X60),f17(X57,X58,f20(X59,X60),X61))
| ~ element_of_set(f20(X59,X60),X57)
| ~ hausdorff(X57,X58)
| ~ hausdorff(f17(X57,X58,f20(X59,X60),X61),X62)
| eq_p(f20(X59,X60),X61)
| hausdorff(X59,X60)
| ~ element_of_set(X61,X57)
| eq_p(f19(X59,X60),f20(X59,X60)) ) ).
cnf(u1111,axiom,
( ~ element_of_set(f19(X0,X1),f17(X2,X4,X3,f20(X0,X1)))
| eq_p(X3,f20(X0,X1))
| ~ open(f17(X2,X4,X3,f20(X0,X1)),X0,X1)
| hausdorff(X0,X1)
| ~ element_of_set(X3,X2)
| ~ hausdorff(X2,X4)
| ~ element_of_set(f20(X0,X1),X2) ) ).
cnf(u1128,axiom,
( ~ element_of_set(f19(X51,X52),f16(f20(X51,X52),X53,X54,X55))
| eq_p(f19(X51,X52),f20(X51,X52))
| limit_point(f20(X51,X52),X53,X54,X55)
| hausdorff(X51,X52)
| ~ hausdorff(f16(f20(X51,X52),X53,X54,X55),X56) ) ).
cnf(u1147,axiom,
( ~ element_of_set(f19(X48,X49),f13(X45,X46,X47,f20(X48,X49)))
| hausdorff(X48,X49)
| eq_p(f19(X48,X49),f20(X48,X49))
| ~ hausdorff(f13(X45,X46,X47,f20(X48,X49)),X50) ) ).
cnf(u1157,axiom,
( ~ element_of_set(f19(X33,X34),f10(X31,X32,f20(X33,X34)))
| ~ element_of_set(f20(X33,X34),X32)
| hausdorff(X33,X34)
| eq_p(f19(X33,X34),f20(X33,X34))
| ~ hausdorff(f10(X31,X32,f20(X33,X34)),X35) ) ).
cnf(u1156,axiom,
( ~ element_of_set(f19(X26,X27),f6(X24,X25,f20(X26,X27),X28,X29))
| hausdorff(X26,X27)
| ~ element_of_set(f20(X26,X27),intersection_of_sets(X28,X29))
| ~ hausdorff(f6(X24,X25,f20(X26,X27),X28,X29),X30)
| ~ element_of_set(f20(X26,X27),X24)
| eq_p(f19(X26,X27),f20(X26,X27)) ) ).
cnf(u1158,axiom,
( ~ element_of_set(f19(X21,X22),f1(X20,f20(X21,X22)))
| hausdorff(X21,X22)
| ~ hausdorff(f1(X20,f20(X21,X22)),X23)
| eq_p(f19(X21,X22),f20(X21,X22)) ) ).
cnf(u819,axiom,
( ~ element_of_set(f19(X0,X1),X2)
| ~ open(X0,X0,X1)
| ~ disjoint_s(X2,X0)
| hausdorff(X0,X1)
| ~ open(X2,X0,X1) ) ).
cnf(u739,axiom,
( ~ element_of_set(f20(X2,X3),X1)
| hausdorff(X2,X3)
| ~ element_of_set(f19(X2,X3),X0)
| ~ open(X0,X2,X3)
| ~ disjoint_s(X0,X1)
| ~ open(X1,X2,X3) ) ).
cnf(u1118,axiom,
( ~ element_of_set(f20(X0,X1),X2)
| ~ hausdorff(X2,X3)
| hausdorff(X0,X1)
| ~ element_of_set(f19(X0,X1),X2)
| eq_p(f19(X0,X1),f20(X0,X1)) ) ).
cnf(u459,axiom,
( ~ element_of_set(X0,boundary(X2,X3,X4))
| element_of_set(X0,X1) ) ).
cnf(closure_58,axiom,
( ~ element_of_set(X0,f14(X6,X4,X5,X0))
| ~ topological_space(X4,X5)
| ~ subset_sets(X6,X4)
| element_of_set(X0,closure(X6,X4,X5)) ) ).
cnf(u116,axiom,
( ~ element_of_set(X0,closure(relative_complement_sets(X6,X4),X4,X5))
| ~ element_of_set(X0,closure(X6,X4,X5))
| element_of_set(X0,boundary(X6,X4,X5)) ) ).
cnf(closure_55,axiom,
( ~ element_of_set(X0,closure(X6,X4,X5))
| element_of_set(X0,X15)
| ~ subset_sets(X6,X15)
| ~ closed(X15,X4,X5) ) ).
cnf(limit_point_68,axiom,
( ~ element_of_set(X16,intersection_of_sets(f16(X7,X6,X4,X5),X6))
| eq_p(X16,X7)
| limit_point(X7,X6,X4,X5)
| ~ topological_space(X4,X5)
| ~ subset_sets(X6,X4) ) ).
cnf(intersection_of_members_6,axiom,
( ~ element_of_set(X0,f2(X1,X0))
| element_of_set(X0,intersection_of_members(X1)) ) ).
cnf(intersection_of_members_4,axiom,
( ~ element_of_set(X0,intersection_of_members(X1))
| element_of_set(X0,X3)
| ~ element_of_collection(X3,X1) ) ).
cnf(u417,axiom,
( ~ element_of_set(X0,X1)
| element_of_set(X0,union_of_members(X2)) ) ).
cnf(u642,axiom,
( ~ element_of_set(X0,X4)
| element_of_set(X0,interior(X1,X2,X3)) ) ).
cnf(u113,axiom,
union_of_sets(a,b) = sF0 ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : TOP018-1 : 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
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 15:00:04 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.50 % (27863)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.50 % (27862)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50 % (27870)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.51 % (27867)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)
% 0.20/0.51 % (27872)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.51 % (27858)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)
% 0.20/0.51 % (27869)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)
% 0.20/0.52 % (27885)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)
% 0.20/0.52 % (27873)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.52 % (27860)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (27868)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52 % (27866)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.52 % (27887)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.52 % (27864)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (27879)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.52 % (27859)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)
% 0.20/0.53 % (27883)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.53 % (27891)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.53 % (27886)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.53 % (27866)Instruction limit reached!
% 0.20/0.53 % (27866)------------------------------
% 0.20/0.53 % (27866)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (27866)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (27866)Termination reason: Unknown
% 0.20/0.53 % (27866)Termination phase: Blocked clause elimination
% 0.20/0.53
% 0.20/0.53 % (27866)Memory used [KB]: 1023
% 0.20/0.53 % (27866)Time elapsed: 0.005 s
% 0.20/0.53 % (27866)Instructions burned: 4 (million)
% 0.20/0.53 % (27866)------------------------------
% 0.20/0.53 % (27866)------------------------------
% 0.20/0.53 % (27889)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.53 % (27858)Refutation not found, incomplete strategy% (27858)------------------------------
% 0.20/0.53 % (27858)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (27858)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (27858)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (27858)Memory used [KB]: 5628
% 0.20/0.53 % (27858)Time elapsed: 0.134 s
% 0.20/0.53 % (27858)Instructions burned: 5 (million)
% 0.20/0.53 % (27858)------------------------------
% 0.20/0.53 % (27858)------------------------------
% 0.20/0.53 % (27888)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.54 TRYING [1]
% 0.20/0.54 % (27880)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54 % (27884)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.54 % (27882)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.54 % (27857)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.54 % (27877)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.54 % (27890)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.55 TRYING [2]
% 1.63/0.56 % (27874)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)
% 1.63/0.57 % (27865)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.63/0.57 TRYING [1]
% 1.63/0.57 % (27876)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.63/0.57 TRYING [2]
% 1.63/0.57 % (27865)Instruction limit reached!
% 1.63/0.57 % (27865)------------------------------
% 1.63/0.57 % (27865)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.58 % (27862)Instruction limit reached!
% 1.63/0.58 % (27862)------------------------------
% 1.63/0.58 % (27862)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.58 % (27859)Instruction limit reached!
% 1.63/0.58 % (27859)------------------------------
% 1.63/0.58 % (27859)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.58 % (27859)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.58 % (27859)Termination reason: Unknown
% 1.63/0.58 % (27859)Termination phase: Saturation
% 1.63/0.58
% 1.63/0.58 % (27859)Memory used [KB]: 1663
% 1.63/0.58 % (27859)Time elapsed: 0.183 s
% 1.63/0.58 % (27859)Instructions burned: 37 (million)
% 1.63/0.58 % (27859)------------------------------
% 1.63/0.58 % (27859)------------------------------
% 1.79/0.58 % (27870)First to succeed.
% 1.79/0.58 % (27862)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.58 % (27862)Termination reason: Unknown
% 1.79/0.58 % (27862)Termination phase: Saturation
% 1.79/0.58
% 1.79/0.58 % (27862)Memory used [KB]: 6524
% 1.79/0.58 % (27862)Time elapsed: 0.156 s
% 1.79/0.58 % (27862)Instructions burned: 51 (million)
% 1.79/0.58 % (27862)------------------------------
% 1.79/0.58 % (27862)------------------------------
% 1.79/0.58 TRYING [1]
% 1.79/0.58 Finite Model Found!
% 1.79/0.58 % (27867)Instruction limit reached!
% 1.79/0.58 % (27867)------------------------------
% 1.79/0.58 % (27867)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.58 % (27867)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.58 % (27867)Termination reason: Unknown
% 1.79/0.58 % (27867)Termination phase: Saturation
% 1.79/0.58
% 1.79/0.58 % (27867)Memory used [KB]: 1407
% 1.79/0.58 % (27867)Time elapsed: 0.190 s
% 1.79/0.58 % (27867)Instructions burned: 52 (million)
% 1.79/0.58 % (27867)------------------------------
% 1.79/0.58 % (27867)------------------------------
% 1.79/0.59 % (27865)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.59 % (27865)Termination reason: Unknown
% 1.79/0.59 % (27865)Termination phase: Saturation
% 1.79/0.59
% 1.79/0.59 % (27865)Memory used [KB]: 5628
% 1.79/0.59 % (27865)Time elapsed: 0.180 s
% 1.79/0.59 % (27865)Instructions burned: 8 (million)
% 1.79/0.59 % (27865)------------------------------
% 1.79/0.59 % (27865)------------------------------
% 1.79/0.59 TRYING [2]
% 1.79/0.59 % SZS status Satisfiable for theBenchmark
% 1.79/0.59 % (27870)# SZS output start Saturation.
% See solution above
% 1.79/0.59 % (27870)------------------------------
% 1.79/0.59 % (27870)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.59 % (27870)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.59 % (27870)Termination reason: Satisfiable
% 1.79/0.59
% 1.79/0.59 % (27870)Memory used [KB]: 6396
% 1.79/0.59 % (27870)Time elapsed: 0.183 s
% 1.79/0.59 % (27870)Instructions burned: 57 (million)
% 1.79/0.59 % (27870)------------------------------
% 1.79/0.59 % (27870)------------------------------
% 1.79/0.59 % (27856)Success in time 0.241 s
%------------------------------------------------------------------------------