%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : TOP015-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n019.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 02:34:21 PM UTC 2026
% Result : Satisfiable 0.09s 0.25s
% Output : Saturation 0.09s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u121,axiom,
~ limit_point(X0,X1,X2,X3) ).
cnf(u139,axiom,
element_of_collection(X0,X1) ).
cnf(u146,axiom,
topological_space(X0,X1) ).
cnf(u160,axiom,
~ connected_set(X0,X1,X2) ).
cnf(u163,axiom,
subset_sets(X0,X1) ).
cnf(u186,axiom,
element_of_set(X0,union_of_members(X1)) ).
cnf(u248,axiom,
~ connected_space(X0,X1) ).
cnf(u283,axiom,
hausdorff(X0,X1) ).
cnf(u403,axiom,
equal_sets(union_of_members(X1),X0) ).
cnf(u415,axiom,
element_of_collection(X0,top_of_basis(X1)) ).
cnf(u448,axiom,
~ element_of_set(X0,closure(X1,X2,X3)) ).
cnf(u453,axiom,
~ element_of_set(X0,boundary(X1,X2,X3)) ).
cnf(u548,axiom,
compact_space(X0,X1) ).
cnf(u551,axiom,
open_covering(f24(X0,X1),X0,X1) ).
cnf(u593,axiom,
disjoint_s(X0,X1) ).
cnf(u615,axiom,
basis(X0,X1) ).
cnf(u657,axiom,
open(X0,X2,X3) ).
cnf(u791,axiom,
eq_p(X4,X0) ).
cnf(u940,axiom,
element_of_collection(f10(X1,X0,X2),X1) ).
cnf(u1041,axiom,
subset_collections(f24(X0,X1),X1) ).
cnf(u1115,axiom,
subset_collections(f23(X0,X1,X2),X2) ).
cnf(u1184,axiom,
basis(intersection_of_members(X0),X1) ).
cnf(u1200,axiom,
open_covering(f23(X0,X1,X2),X0,X1) ).
cnf(u1222,axiom,
element_of_set(X0,interior(X1,X2,X3)) ).
cnf(u1258,axiom,
~ element_of_set(X2,intersection_of_sets(X3,X4)) ).
cnf(u1261,axiom,
element_of_set(X2,f6(X0,X1,X2,X3,X4)) ).
cnf(u1273,axiom,
( ~ equal_sets(union_of_sets(X0,X1),X2)
| equal_sets(X0,empty_set)
| equal_sets(X1,empty_set)
| separation(X0,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(u1206,axiom,
subset_collections(f23(X0,X1,X2),X1) ).
cnf(u1280,axiom,
separation(f21(X0,X1),f22(X0,X1),X0,X2) ).
cnf(u1278,axiom,
( separation(X0,X1,intersection_of_sets(X2,f12(X3,X4,X2,union_of_sets(X0,X1))),X5)
| equal_sets(X1,empty_set)
| equal_sets(X0,empty_set) ) ).
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(u1165,axiom,
( element_of_set(f7(X0,X1),X0)
| basis(X0,X1) ) ).
cnf(u1058,axiom,
( open_covering(X0,X2,X1)
| ~ subset_collections(X0,X1) ) ).
cnf(interior_49,axiom,
( element_of_set(X0,f13(X1,X2,X3,X0))
| ~ element_of_set(X0,interior(X1,X2,X3)) ) ).
cnf(separation_81,axiom,
( ~ separation(X0,X1,X2,X3)
| topological_space(X2,X3) ) ).
cnf(topology_generated_40,axiom,
( element_of_set(f11(X1,X0),X0)
| element_of_collection(X0,top_of_basis(X1)) ) ).
cnf(problem_10_150,negated_conjecture,
~ equal_sets(intersection_of_sets(interior(a,cx,ct),boundary(a,cx,ct)),empty_set) ).
cnf(limit_point_63,axiom,
( ~ limit_point(X0,X1,X2,X3)
| topological_space(X2,X3) ) ).
cnf(topological_space_7,axiom,
( equal_sets(union_of_members(X1),X0)
| ~ topological_space(X0,X1) ) ).
cnf(boundary_70,axiom,
( ~ element_of_set(X0,boundary(X1,X2,X3))
| element_of_set(X0,closure(X1,X2,X3)) ) ).
cnf(finer_topology_25,axiom,
( ~ finer(X0,X1,X2)
| topological_space(X2,X1) ) ).
cnf(separation_85,axiom,
( ~ separation(X0,X1,X2,X3)
| element_of_collection(X1,X3) ) ).
cnf(problem_10_149,negated_conjecture,
subset_sets(a,cx) ).
cnf(u1047,axiom,
equal_sets(union_of_members(f24(X0,X1)),X0) ).
cnf(union_of_members_1,axiom,
( element_of_set(X0,f1(X1,X0))
| ~ element_of_set(X0,union_of_members(X1)) ) ).
cnf(hausdorff_73,axiom,
( ~ hausdorff(X0,X1)
| topological_space(X0,X1) ) ).
cnf(connected_set_92,axiom,
( ~ connected_set(X0,X1,X2)
| topological_space(X1,X2) ) ).
cnf(u1174,axiom,
basis(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(u969,axiom,
( ~ element_of_set(X4,intersection_of_sets(f16(X0,X1,X2,X3),X1))
| eq_p(X4,X0) ) ).
cnf(topological_space_8,axiom,
( ~ topological_space(X0,X1)
| element_of_collection(empty_set,X1) ) ).
cnf(u1219,axiom,
( ~ element_of_set(X0,X4)
| element_of_set(X0,interior(X1,X2,X3)) ) ).
cnf(u140,negated_conjecture,
element_of_collection(cx,ct) ).
cnf(u1072,axiom,
~ equal_sets(f22(X0,X1),empty_set) ).
cnf(u1118,axiom,
( ~ element_of_set(X0,closure(X1,X2,X3))
| element_of_set(X0,X4) ) ).
cnf(u458,axiom,
( ~ element_of_set(X0,X1)
| element_of_set(X0,union_of_members(top_of_basis(X2))) ) ).
cnf(u461,negated_conjecture,
( element_of_set(X0,union_of_members(ct))
| ~ element_of_set(X0,empty_set) ) ).
cnf(separation_84,axiom,
( ~ separation(X0,X1,X2,X3)
| element_of_collection(X0,X3) ) ).
cnf(neighborhood_60,axiom,
( ~ neighborhood(X0,X1,X2,X3)
| open(X0,X2,X3) ) ).
cnf(u1071,axiom,
~ equal_sets(f21(X0,X1),empty_set) ).
cnf(separation_82,axiom,
( ~ separation(X0,X1,X2,X3)
| ~ equal_sets(X0,empty_set) ) ).
cnf(problem_10_148,negated_conjecture,
topological_space(cx,ct) ).
cnf(u1181,axiom,
( element_of_set(f7(intersection_of_members(X0),X1),X2)
| basis(intersection_of_members(X0),X1) ) ).
cnf(closure_53,axiom,
( ~ element_of_set(X0,closure(X1,X2,X3))
| topological_space(X2,X3) ) ).
cnf(open_covering_97,axiom,
( ~ open_covering(X0,X1,X2)
| subset_collections(X0,X2) ) ).
cnf(u1075,axiom,
equal_sets(union_of_sets(f21(X0,X1),f22(X0,X1)),X0) ).
cnf(u1147,axiom,
compact_set(X0,X1,X2) ).
cnf(u1177,axiom,
basis(boundary(X0,X1,X2),X3) ).
cnf(u1038,axiom,
( subset_collections(f24(X0,X1),X1)
| compact_space(X0,X1) ) ).
cnf(finer_topology_26,axiom,
( ~ finer(X0,X1,X2)
| subset_collections(X1,X0) ) ).
cnf(separation_86,axiom,
( ~ separation(X0,X1,X2,X3)
| equal_sets(union_of_sets(X0,X1),X2) ) ).
cnf(compact_space_101,axiom,
( finite(f23(X0,X1,X2))
| ~ open_covering(X2,X0,X1)
| ~ compact_space(X0,X1) ) ).
cnf(u717,axiom,
( element_of_set(X2,f10(X1,X0,X2))
| ~ element_of_set(X2,X0) ) ).
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(boundary_71,axiom,
( element_of_set(X0,closure(relative_complement_sets(X1,X2),X2,X3))
| ~ element_of_set(X0,boundary(X1,X2,X3)) ) ).
cnf(union_of_members_2,axiom,
( element_of_collection(f1(X1,X0),X1)
| ~ element_of_set(X0,union_of_members(X1)) ) ).
cnf(u1063,axiom,
( ~ subset_collections(X0,X1)
| equal_sets(union_of_members(X0),X2) ) ).
cnf(u1216,axiom,
~ element_of_set(X0,f14(X1,X2,X3,X0)) ).
cnf(u134,negated_conjecture,
element_of_collection(empty_set,ct) ).
cnf(u1066,axiom,
equal_sets(union_of_members(f24(X0,X1)),X2) ).
cnf(connected_space_89,axiom,
( ~ connected_space(X0,X1)
| topological_space(X0,X1) ) ).
cnf(u1081,axiom,
element_of_set(X0,f16(X0,X1,X2,X3)) ).
cnf(compact_set_108,axiom,
( compact_space(X0,subspace_topology(X1,X2,X0))
| ~ compact_set(X0,X1,X2) ) ).
cnf(intersection_of_members_6,axiom,
( ~ element_of_set(X0,f2(X1,X0))
| element_of_set(X0,intersection_of_members(X1)) ) ).
cnf(closed_set_21,axiom,
( ~ closed(X0,X1,X2)
| topological_space(X1,X2) ) ).
cnf(connected_set_93,axiom,
( ~ connected_set(X0,X1,X2)
| subset_sets(X0,X1) ) ).
cnf(u1112,axiom,
( subset_collections(f23(X0,X1,X2),X2)
| ~ open_covering(X2,X0,X1) ) ).
cnf(finer_topology_24,axiom,
( ~ finer(X0,X1,X2)
| topological_space(X2,X0) ) ).
cnf(open_covering_96,axiom,
( ~ open_covering(X0,X1,X2)
| topological_space(X1,X2) ) ).
cnf(interior_47,axiom,
( ~ element_of_set(X0,interior(X1,X2,X3))
| topological_space(X2,X3) ) ).
cnf(neighborhood_59,axiom,
( ~ neighborhood(X0,X1,X2,X3)
| topological_space(X2,X3) ) ).
cnf(u1208,axiom,
equal_sets(X0,intersection_of_sets(X3,f12(X1,X2,X3,X0))) ).
cnf(topological_space_9,axiom,
( ~ topological_space(X0,X1)
| element_of_collection(X0,X1) ) ).
cnf(u462,negated_conjecture,
( element_of_set(X0,union_of_members(ct))
| ~ element_of_set(X0,cx) ) ).
cnf(boundary_69,axiom,
( ~ element_of_set(X0,boundary(X1,X2,X3))
| topological_space(X2,X3) ) ).
cnf(basis_for_topology_28,axiom,
( equal_sets(union_of_members(X1),X0)
| ~ basis(X0,X1) ) ).
cnf(u1105,axiom,
closed(X0,X1,X2) ).
cnf(compact_space_100,axiom,
( ~ compact_space(X0,X1)
| topological_space(X0,X1) ) ).
cnf(u1069,axiom,
separation(f21(X0,X1),f22(X0,X1),X0,X1) ).
cnf(u964,axiom,
( ~ eq_p(f19(X0,X1),f20(X0,X1))
| hausdorff(X0,X1) ) ).
cnf(open_covering_98,axiom,
( ~ open_covering(X0,X1,X2)
| equal_sets(union_of_members(X0),X1) ) ).
cnf(u1031,axiom,
( open_covering(f24(X0,X1),X0,X1)
| compact_space(X0,X1) ) ).
cnf(u1197,axiom,
( open_covering(f23(X0,X1,X2),X0,X1)
| ~ open_covering(X2,X0,X1) ) ).
cnf(u1034,axiom,
( ~ equal_sets(union_of_members(X0),X1)
| ~ subset_collections(X0,X2)
| open_covering(X0,X1,X2) ) ).
cnf(separation_83,axiom,
( ~ separation(X0,X1,X2,X3)
| ~ equal_sets(X1,empty_set) ) ).
cnf(u959,axiom,
( ~ element_of_set(X0,X1)
| element_of_set(X0,union_of_members(X2)) ) ).
cnf(subspace_topology_42,axiom,
( ~ element_of_collection(X0,subspace_topology(X1,X2,X3))
| topological_space(X1,X2) ) ).
cnf(u916,axiom,
( element_of_collection(f10(X1,X0,X2),X1)
| ~ element_of_set(X2,X0) ) ).
cnf(u1211,axiom,
( neighborhood(X0,X1,X2,X3)
| ~ element_of_set(X1,X0) ) ).
cnf(separation_87,axiom,
( ~ separation(X0,X1,X2,X3)
| disjoint_s(X0,X1) ) ).
cnf(connected_space_90,axiom,
( ~ separation(X2,X3,X0,X1)
| ~ connected_space(X0,X1) ) ).
cnf(u1078,axiom,
neighborhood(f16(X0,X1,X2,X3),X0,X2,X3) ).
cnf(neighborhood_61,axiom,
( ~ neighborhood(X0,X1,X2,X3)
| element_of_set(X1,X0) ) ).
cnf(u1255,axiom,
( element_of_set(X2,f6(X0,X1,X2,X3,X4))
| ~ element_of_set(X2,intersection_of_sets(X3,X4))
| ~ element_of_set(X2,X0) ) ).
cnf(u1108,axiom,
( finer(X0,X1,X2)
| ~ subset_collections(X1,X0) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : TOP015-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.16 % Computer : n019.cluster.edu
% 0.09/0.16 % Model : x86_64 x86_64
% 0.09/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.16 % Memory : 8046.5625MB
% 0.09/0.16 % OS : Linux 6.8.0-71-generic
% 0.09/0.16 % CPULimit : 300
% 0.09/0.16 % WCLimit : 300
% 0.09/0.16 % DateTime : Mon Sep 28 18:49:18 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 Running first-order model finding
% 0.09/0.19 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.25 % (100012)Will run a generic schedule for satisfiability detection.
% 0.09/0.25 % (100019)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2431427138:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.25 % (100017)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3784076570_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.25 % (100020)dis+10_1_sil=32000:sp=arity:random_seed=567474128:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.25 % (100022)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2417072964:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.25 % (100021)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4147537361:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.25 % (100023)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1174893892:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.25 % (100018)% WARNING: option uhcvi not known.
% 0.09/0.25 % (100018)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3407764562:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.25 % (100019) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-100012-100019"...
% 0.09/0.25 % (100019)...printing done.
% 0.09/0.25 % TRYING [1]
% 0.09/0.25 % SZS status Satisfiable for theBenchmark
% 0.09/0.25 % SZS output start Saturation.
% See solution above
% 0.09/0.25 % SZS output start Definitions and Model Updates.
% 0.09/0.25 % SZS output end Definitions and Model Updates.
% 0.09/0.25 % (100019)------------------------------
% 0.09/0.25 % (100019)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.25 % (100019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.25 % (100019)CaDiCaL version: 2.1.3
% 0.09/0.25 % (100019)Termination reason: Satisfiable
% 0.09/0.25 % (100019)Time elapsed: 0.015 s
% 0.09/0.25 % (100019)Peak memory usage: 12 MB
% 0.09/0.25 % (100019)Instructions burned: 38 (million)
% 0.09/0.25 % (100012)Success in time 0.045 s
% 0.09/0.25 % Vampire exiting
%------------------------------------------------------------------------------