%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : TOP010-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 13.97s 2.74s
% Output : Saturation 15.09s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u116,negated_conjecture,
subset_sets(a,cx) ).
cnf(u121,negated_conjecture,
finer(ct1,ct2,cx) ).
cnf(u126,negated_conjecture,
~ finer(subspace_topology(cx,ct1,a),subspace_topology(cx,ct2,a),cx) ).
cnf(u130,axiom,
( element_of_collection(empty_set,X1)
| ~ topological_space(X0,X1) ) ).
cnf(u134,axiom,
( ~ topological_space(X0,X1)
| element_of_collection(X0,X1) ) ).
cnf(u138,axiom,
( ~ hausdorff(X0,X1)
| topological_space(X0,X1) ) ).
cnf(u142,axiom,
( ~ connected_space(X0,X1)
| topological_space(X0,X1) ) ).
cnf(u146,axiom,
( ~ compact_space(X0,X1)
| topological_space(X0,X1) ) ).
cnf(u150,axiom,
( equal_sets(union_of_members(X1),X0)
| ~ topological_space(X0,X1) ) ).
cnf(u154,axiom,
( ~ open(X0,X1,X2)
| topological_space(X1,X2) ) ).
cnf(u158,axiom,
( element_of_collection(X0,X2)
| ~ open(X0,X1,X2) ) ).
cnf(u162,axiom,
( ~ closed(X0,X1,X2)
| topological_space(X1,X2) ) ).
cnf(u166,axiom,
( topological_space(X2,X0)
| ~ finer(X0,X1,X2) ) ).
cnf(u170,axiom,
( topological_space(X2,X1)
| ~ finer(X0,X1,X2) ) ).
cnf(u174,axiom,
( subset_collections(X1,X0)
| ~ finer(X0,X1,X2) ) ).
cnf(u178,axiom,
( equal_sets(union_of_members(X1),X0)
| ~ basis(X0,X1) ) ).
cnf(u182,axiom,
( ~ connected_set(X0,X1,X2)
| topological_space(X1,X2) ) ).
cnf(u186,axiom,
( subset_sets(X0,X1)
| ~ connected_set(X0,X1,X2) ) ).
cnf(u190,axiom,
( ~ open_covering(X0,X1,X2)
| topological_space(X1,X2) ) ).
cnf(u194,axiom,
( subset_collections(X0,X2)
| ~ open_covering(X0,X1,X2) ) ).
cnf(u198,axiom,
( ~ compact_set(X0,X1,X2)
| topological_space(X1,X2) ) ).
cnf(u202,axiom,
( subset_sets(X0,X1)
| ~ compact_set(X0,X1,X2) ) ).
cnf(u208,axiom,
( element_of_collection(X2,X0)
| ~ finer(X0,X1,X2) ) ).
cnf(u212,axiom,
( element_of_collection(X2,X1)
| ~ finer(X0,X1,X2) ) ).
cnf(u216,axiom,
( ~ neighborhood(X0,X1,X2,X3)
| topological_space(X2,X3) ) ).
cnf(u220,axiom,
( element_of_set(X1,X0)
| ~ neighborhood(X0,X1,X2,X3) ) ).
cnf(u224,axiom,
( ~ limit_point(X0,X1,X2,X3)
| topological_space(X2,X3) ) ).
cnf(u228,axiom,
( subset_sets(X1,X2)
| ~ limit_point(X0,X1,X2,X3) ) ).
cnf(u232,axiom,
( ~ separation(X0,X1,X2,X3)
| topological_space(X2,X3) ) ).
cnf(u236,axiom,
( ~ separation(X0,X1,X2,X3)
| ~ equal_sets(X0,empty_set) ) ).
cnf(u240,axiom,
( ~ separation(X0,X1,X2,X3)
| ~ equal_sets(X1,empty_set) ) ).
cnf(u244,axiom,
( element_of_collection(X0,X3)
| ~ separation(X0,X1,X2,X3) ) ).
cnf(u248,axiom,
( element_of_collection(X1,X3)
| ~ separation(X0,X1,X2,X3) ) ).
cnf(u252,axiom,
( disjoint_s(X0,X1)
| ~ separation(X0,X1,X2,X3) ) ).
cnf(u256,axiom,
( ~ separation(X2,X3,X0,X1)
| ~ connected_space(X0,X1) ) ).
cnf(u260,axiom,
( equal_sets(union_of_members(X0),X1)
| ~ open_covering(X0,X1,X2) ) ).
cnf(u264,axiom,
( element_of_set(X0,f1(X1,X0))
| ~ element_of_set(X0,union_of_members(X1)) ) ).
cnf(u268,axiom,
( element_of_collection(f1(X1,X0),X1)
| ~ element_of_set(X0,union_of_members(X1)) ) ).
cnf(u272,axiom,
( element_of_collection(f2(X1,X0),X1)
| element_of_set(X0,intersection_of_members(X1)) ) ).
cnf(u276,axiom,
( element_of_set(X0,intersection_of_members(X1))
| ~ element_of_set(X0,f2(X1,X0)) ) ).
cnf(u280,axiom,
( element_of_collection(X0,top_of_basis(X1))
| element_of_set(f11(X1,X0),X0) ) ).
cnf(u284,axiom,
( topological_space(X1,X2)
| ~ element_of_collection(X0,subspace_topology(X1,X2,X3)) ) ).
cnf(u288,axiom,
( subset_sets(X3,X1)
| ~ element_of_collection(X0,subspace_topology(X1,X2,X3)) ) ).
cnf(u292,axiom,
( ~ element_of_set(X0,interior(X1,X2,X3))
| topological_space(X2,X3) ) ).
cnf(u296,axiom,
( subset_sets(X1,X2)
| ~ element_of_set(X0,interior(X1,X2,X3)) ) ).
cnf(u300,axiom,
( ~ element_of_set(X0,closure(X1,X2,X3))
| topological_space(X2,X3) ) ).
cnf(u304,axiom,
( subset_sets(X1,X2)
| ~ element_of_set(X0,closure(X1,X2,X3)) ) ).
cnf(u308,axiom,
( ~ neighborhood(X0,X1,X2,X3)
| open(X0,X2,X3) ) ).
cnf(u312,axiom,
( ~ element_of_set(X0,boundary(X1,X2,X3))
| topological_space(X2,X3) ) ).
cnf(u320,axiom,
( element_of_collection(X1,X2)
| ~ element_of_collection(X0,subspace_topology(X1,X2,X3)) ) ).
cnf(u324,axiom,
( element_of_set(X0,union_of_members(X1))
| ~ element_of_set(X0,X2)
| ~ element_of_collection(X2,X1) ) ).
cnf(u328,axiom,
( element_of_set(X0,X2)
| ~ element_of_collection(X2,X1)
| ~ element_of_set(X0,intersection_of_members(X1)) ) ).
cnf(u332,axiom,
( element_of_collection(union_of_members(X2),X1)
| ~ subset_collections(X2,X1)
| ~ topological_space(X0,X1) ) ).
cnf(u336,axiom,
( open(X0,X1,X2)
| ~ topological_space(X1,X2)
| ~ element_of_collection(X0,X2) ) ).
cnf(u340,axiom,
( open(relative_complement_sets(X0,X1),X1,X2)
| ~ closed(X0,X1,X2) ) ).
cnf(u344,axiom,
( equal_sets(union_of_sets(X0,X1),X2)
| ~ separation(X0,X1,X2,X3) ) ).
cnf(u348,axiom,
( connected_space(X0,subspace_topology(X1,X2,X0))
| ~ connected_set(X0,X1,X2) ) ).
cnf(u352,axiom,
( compact_space(X0,subspace_topology(X1,X2,X0))
| ~ compact_set(X0,X1,X2) ) ).
cnf(u363,axiom,
( topological_space(X0,subspace_topology(X1,X2,X0))
| ~ connected_set(X0,X1,X2) ) ).
cnf(u367,axiom,
( topological_space(X0,subspace_topology(X1,X2,X0))
| ~ compact_set(X0,X1,X2) ) ).
cnf(u373,axiom,
( element_of_collection(X0,subspace_topology(X1,X2,X0))
| ~ connected_set(X0,X1,X2) ) ).
cnf(u377,axiom,
( element_of_collection(X0,subspace_topology(X1,X2,X0))
| ~ compact_set(X0,X1,X2) ) ).
cnf(u381,axiom,
( hausdorff(X0,X1)
| ~ topological_space(X0,X1)
| element_of_set(f19(X0,X1),X0) ) ).
cnf(u385,axiom,
( hausdorff(X0,X1)
| ~ topological_space(X0,X1)
| element_of_set(f20(X0,X1),X0) ) ).
cnf(u391,axiom,
( ~ neighborhood(interior(X2,X0,X1),X3,X4,X5)
| topological_space(X0,X1) ) ).
cnf(u395,axiom,
( ~ neighborhood(closure(X2,X0,X1),X3,X4,X5)
| topological_space(X0,X1) ) ).
cnf(u399,axiom,
( ~ neighborhood(boundary(X2,X0,X1),X3,X4,X5)
| topological_space(X0,X1) ) ).
cnf(u403,axiom,
( basis(X0,X1)
| ~ equal_sets(union_of_members(X1),X0)
| element_of_set(f7(X0,X1),X0) ) ).
cnf(u407,axiom,
( element_of_collection(f8(X0,X1),X1)
| ~ equal_sets(union_of_members(X1),X0)
| basis(X0,X1) ) ).
cnf(u411,axiom,
( element_of_collection(f9(X0,X1),X1)
| ~ equal_sets(union_of_members(X1),X0)
| basis(X0,X1) ) ).
cnf(u415,axiom,
( element_of_set(X0,closure(X1,X2,X3))
| ~ element_of_set(X0,boundary(X1,X2,X3)) ) ).
cnf(u419,axiom,
( finite(f23(X0,X1,X2))
| ~ open_covering(X2,X0,X1)
| ~ compact_space(X0,X1) ) ).
cnf(u423,axiom,
( compact_space(X0,X1)
| ~ topological_space(X0,X1)
| open_covering(f24(X0,X1),X0,X1) ) ).
cnf(u429,axiom,
( closed(X0,X1,X2)
| ~ topological_space(X1,X2)
| ~ open(relative_complement_sets(X0,X1),X1,X2) ) ).
cnf(u433,axiom,
( finer(X0,X1,X2)
| ~ topological_space(X2,X0)
| ~ topological_space(X2,X1)
| ~ subset_collections(X1,X0) ) ).
cnf(u437,axiom,
( element_of_set(X2,f10(X1,X0,X2))
| ~ element_of_set(X2,X0)
| ~ element_of_collection(X0,top_of_basis(X1)) ) ).
cnf(u441,axiom,
( element_of_collection(f10(X1,X0,X2),X1)
| ~ element_of_set(X2,X0)
| ~ element_of_collection(X0,top_of_basis(X1)) ) ).
cnf(u445,axiom,
( subset_sets(f10(X1,X0,X2),X0)
| ~ element_of_set(X2,X0)
| ~ element_of_collection(X0,top_of_basis(X1)) ) ).
cnf(u449,axiom,
( element_of_collection(f12(X1,X2,X3,X0),X2)
| ~ element_of_collection(X0,subspace_topology(X1,X2,X3)) ) ).
cnf(u453,axiom,
( element_of_set(X0,f13(X1,X2,X3,X0))
| ~ element_of_set(X0,interior(X1,X2,X3)) ) ).
cnf(u457,axiom,
( subset_sets(f13(X1,X2,X3,X0),X1)
| ~ element_of_set(X0,interior(X1,X2,X3)) ) ).
cnf(u461,axiom,
( ~ eq_p(f19(X0,X1),f20(X0,X1))
| ~ topological_space(X0,X1)
| hausdorff(X0,X1) ) ).
cnf(u465,axiom,
( subset_collections(f23(X0,X1,X2),X2)
| ~ open_covering(X2,X0,X1)
| ~ compact_space(X0,X1) ) ).
cnf(u472,negated_conjecture,
~ subset_collections(subspace_topology(cx,ct2,a),subspace_topology(cx,ct1,a)) ).
cnf(u475,negated_conjecture,
topological_space(cx,subspace_topology(cx,ct2,a)) ).
cnf(u479,negated_conjecture,
topological_space(cx,subspace_topology(cx,ct1,a)) ).
cnf(u486,negated_conjecture,
~ open_covering(subspace_topology(cx,ct2,a),X0,subspace_topology(cx,ct1,a)) ).
cnf(u506,negated_conjecture,
element_of_collection(cx,subspace_topology(cx,ct1,a)) ).
cnf(u525,negated_conjecture,
element_of_collection(cx,subspace_topology(cx,ct2,a)) ).
cnf(u590,negated_conjecture,
~ finer(subspace_topology(cx,ct1,a),subspace_topology(cx,ct2,a),X0) ).
cnf(u688,axiom,
( topological_space(X1,X2)
| ~ element_of_set(X4,intersection_of_members(X3))
| ~ element_of_collection(interior(X0,X1,X2),X3) ) ).
cnf(u692,axiom,
( topological_space(X1,X2)
| ~ element_of_set(X4,intersection_of_members(X3))
| ~ element_of_collection(closure(X0,X1,X2),X3) ) ).
cnf(u696,axiom,
( topological_space(X1,X2)
| ~ element_of_set(X4,intersection_of_members(X3))
| ~ element_of_collection(boundary(X0,X1,X2),X3) ) ).
cnf(u703,axiom,
( element_of_collection(X3,X4)
| ~ element_of_collection(interior(X2,X3,X4),X1)
| ~ element_of_set(X0,intersection_of_members(X1)) ) ).
cnf(u707,axiom,
( element_of_collection(X3,X4)
| ~ element_of_collection(closure(X2,X3,X4),X1)
| ~ element_of_set(X0,intersection_of_members(X1)) ) ).
cnf(u711,axiom,
( element_of_collection(X3,X4)
| ~ element_of_collection(boundary(X2,X3,X4),X1)
| ~ element_of_set(X0,intersection_of_members(X1)) ) ).
cnf(u715,axiom,
( element_of_collection(intersection_of_sets(X2,X3),X1)
| ~ element_of_collection(X2,X1)
| ~ element_of_collection(X3,X1)
| ~ topological_space(X0,X1) ) ).
cnf(u719,axiom,
( open(f13(X1,X2,X3,X0),X2,X3)
| ~ element_of_set(X0,interior(X1,X2,X3)) ) ).
cnf(u723,axiom,
( element_of_set(X0,closure(relative_complement_sets(X1,X2),X2,X3))
| ~ element_of_set(X0,boundary(X1,X2,X3)) ) ).
cnf(u727,axiom,
( open_covering(X0,X1,X2)
| ~ topological_space(X1,X2)
| ~ subset_collections(X0,X2)
| ~ equal_sets(union_of_members(X0),X1) ) ).
cnf(u731,axiom,
( open_covering(f23(X0,X1,X2),X0,X1)
| ~ open_covering(X2,X0,X1)
| ~ compact_space(X0,X1) ) ).
cnf(u740,axiom,
( element_of_collection(X0,top_of_basis(X1))
| ~ element_of_set(f11(X1,X0),X2)
| ~ element_of_collection(X2,X1)
| ~ subset_sets(X2,X0) ) ).
cnf(u744,axiom,
( equal_sets(X0,intersection_of_sets(X3,f12(X1,X2,X3,X0)))
| ~ element_of_collection(X0,subspace_topology(X1,X2,X3)) ) ).
cnf(u748,axiom,
( neighborhood(X0,X1,X2,X3)
| ~ topological_space(X2,X3)
| ~ open(X0,X2,X3)
| ~ element_of_set(X1,X0) ) ).
cnf(u752,axiom,
( connected_space(X0,X1)
| ~ topological_space(X0,X1)
| separation(f21(X0,X1),f22(X0,X1),X0,X1) ) ).
cnf(u762,axiom,
( element_of_set(X0,X4)
| ~ subset_sets(X1,X4)
| ~ closed(X4,X2,X3)
| ~ element_of_set(X0,closure(X1,X2,X3)) ) ).
cnf(u766,axiom,
( ~ connected_space(X0,subspace_topology(X1,X2,X0))
| ~ topological_space(X1,X2)
| ~ subset_sets(X0,X1)
| connected_set(X0,X1,X2) ) ).
cnf(u770,axiom,
( ~ compact_space(X0,subspace_topology(X1,X2,X0))
| ~ topological_space(X1,X2)
| ~ subset_sets(X0,X1)
| compact_set(X0,X1,X2) ) ).
cnf(u781,axiom,
( compact_space(X0,X1)
| ~ topological_space(X0,X1)
| ~ finite(X2)
| ~ subset_collections(X2,f24(X0,X1))
| ~ open_covering(X2,X0,X1) ) ).
cnf(u787,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(u791,axiom,
( ~ eq_p(f15(X0,X1,X2,X3,X4),X0)
| ~ neighborhood(X4,X0,X2,X3)
| ~ limit_point(X0,X1,X2,X3) ) ).
cnf(u795,axiom,
( subset_sets(X1,f14(X1,X2,X3,X0))
| ~ topological_space(X2,X3)
| ~ subset_sets(X1,X2)
| element_of_set(X0,closure(X1,X2,X3)) ) ).
cnf(u799,axiom,
( element_of_set(X0,closure(X1,X2,X3))
| ~ topological_space(X2,X3)
| ~ subset_sets(X1,X2)
| ~ element_of_set(X0,f14(X1,X2,X3,X0)) ) ).
cnf(u804,axiom,
( element_of_collection(X0,subspace_topology(X1,X2,X3))
| ~ topological_space(X1,X2)
| ~ subset_sets(X3,X1)
| ~ element_of_collection(X4,X2)
| ~ equal_sets(X0,intersection_of_sets(X3,X4)) ) ).
cnf(u808,axiom,
( element_of_set(X0,closure(X1,X2,X3))
| ~ topological_space(X2,X3)
| ~ subset_sets(X1,X2)
| closed(f14(X1,X2,X3,X0),X2,X3) ) ).
cnf(u812,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(u816,axiom,
( limit_point(X0,X1,X2,X3)
| ~ topological_space(X2,X3)
| ~ subset_sets(X1,X2)
| neighborhood(f16(X0,X1,X2,X3),X0,X2,X3) ) ).
cnf(u822,axiom,
( eq_p(X2,X3)
| ~ element_of_set(X2,X0)
| ~ element_of_set(X3,X0)
| ~ hausdorff(X0,X1)
| neighborhood(f17(X0,X1,X2,X3),X2,X0,X1) ) ).
cnf(u826,axiom,
( eq_p(X2,X3)
| ~ element_of_set(X2,X0)
| ~ element_of_set(X3,X0)
| ~ hausdorff(X0,X1)
| neighborhood(f18(X0,X1,X2,X3),X3,X0,X1) ) ).
cnf(u834,axiom,
( element_of_set(X0,interior(X1,X2,X3))
| ~ topological_space(X2,X3)
| ~ subset_sets(X1,X2)
| ~ element_of_set(X0,X4)
| ~ subset_sets(X4,X1)
| ~ open(X4,X2,X3) ) ).
cnf(u839,axiom,
( topological_space(X2,X3)
| ~ closed(interior(X1,X2,X3),X4,X5)
| ~ element_of_set(X6,closure(X0,X4,X5))
| ~ subset_sets(X0,interior(X1,X2,X3)) ) ).
cnf(u843,axiom,
( topological_space(X2,X3)
| ~ closed(closure(X1,X2,X3),X4,X5)
| ~ element_of_set(X6,closure(X0,X4,X5))
| ~ subset_sets(X0,closure(X1,X2,X3)) ) ).
cnf(u847,axiom,
( topological_space(X2,X3)
| ~ closed(boundary(X1,X2,X3),X4,X5)
| ~ element_of_set(X6,closure(X0,X4,X5))
| ~ subset_sets(X0,boundary(X1,X2,X3)) ) ).
cnf(u854,axiom,
( element_of_collection(X1,X2)
| ~ element_of_set(X5,closure(X6,X3,X4))
| ~ subset_sets(X6,interior(X0,X1,X2))
| ~ closed(interior(X0,X1,X2),X3,X4) ) ).
cnf(u858,axiom,
( element_of_collection(X1,X2)
| ~ element_of_set(X5,closure(X6,X3,X4))
| ~ subset_sets(X6,closure(X0,X1,X2))
| ~ closed(closure(X0,X1,X2),X3,X4) ) ).
cnf(u862,axiom,
( element_of_collection(X1,X2)
| ~ element_of_set(X5,closure(X6,X3,X4))
| ~ subset_sets(X6,boundary(X0,X1,X2))
| ~ closed(boundary(X0,X1,X2),X3,X4) ) ).
cnf(u866,axiom,
( subset_collections(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(u870,axiom,
( subset_collections(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(u874,axiom,
( limit_point(X0,X1,X2,X3)
| ~ topological_space(X2,X3)
| ~ subset_sets(X1,X2)
| ~ element_of_set(X4,intersection_of_sets(f16(X0,X1,X2,X3),X1))
| eq_p(X4,X0) ) ).
cnf(u878,axiom,
( element_of_set(X0,boundary(X1,X2,X3))
| ~ topological_space(X2,X3)
| ~ element_of_set(X0,closure(X1,X2,X3))
| ~ element_of_set(X0,closure(relative_complement_sets(X1,X2),X2,X3)) ) ).
cnf(u882,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(u886,axiom,
( hausdorff(X0,X1)
| ~ topological_space(X0,X1)
| ~ neighborhood(X2,f19(X0,X1),X0,X1)
| ~ neighborhood(X3,f20(X0,X1),X0,X1)
| ~ disjoint_s(X2,X3) ) ).
cnf(u893,axiom,
( element_of_collection(f3(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(u897,axiom,
( element_of_collection(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(u901,axiom,
( basis(X0,X1)
| ~ equal_sets(union_of_members(X1),X0)
| ~ element_of_set(f7(X0,X1),X2)
| ~ element_of_collection(X2,X1)
| ~ subset_sets(X2,intersection_of_sets(f8(X0,X1),f9(X0,X1))) ) ).
cnf(u905,axiom,
( element_of_set(X2,f6(X0,X1,X2,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(u909,axiom,
( element_of_collection(f6(X0,X1,X2,X3,X4),X1)
| ~ 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(u913,axiom,
( subset_collections(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(intersection_of_sets(f3(X0,X1),f4(X0,X1)),X1)
| topological_space(X0,X1) ) ).
cnf(u917,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(u921,axiom,
( topological_space(X0,X1)
| ~ equal_sets(union_of_members(X1),X0)
| ~ element_of_collection(empty_set,X1)
| ~ element_of_collection(X0,X1)
| ~ element_of_collection(intersection_of_sets(f3(X0,X1),f4(X0,X1)),X1)
| ~ element_of_collection(union_of_members(f5(X0,X1)),X1) ) ).
cnf(u925,axiom,
( equal_sets(X1,empty_set)
| ~ topological_space(X2,X3)
| equal_sets(X0,empty_set)
| separation(X0,X1,X2,X3)
| ~ element_of_collection(X0,X3)
| ~ element_of_collection(X1,X3)
| ~ equal_sets(union_of_sets(X0,X1),X2)
| ~ disjoint_s(X0,X1) ) ).
cnf(u930,axiom,
( open_covering(f24(X2,subspace_topology(X0,X1,X2)),X2,subspace_topology(X0,X1,X2))
| ~ subset_sets(X2,X0)
| compact_set(X2,X0,X1)
| ~ topological_space(X2,subspace_topology(X0,X1,X2))
| ~ topological_space(X0,X1) ) ).
cnf(u935,axiom,
( compact_set(X0,X1,X2)
| ~ finite(X3)
| ~ subset_collections(X3,f24(X0,subspace_topology(X1,X2,X0)))
| ~ open_covering(X3,X0,subspace_topology(X1,X2,X0))
| ~ topological_space(X1,X2)
| ~ subset_sets(X0,X1)
| ~ topological_space(X0,subspace_topology(X1,X2,X0)) ) ).
cnf(u1004,axiom,
( connected_set(X2,X0,X1)
| ~ subset_sets(X2,X0)
| ~ topological_space(X0,X1)
| ~ topological_space(X2,subspace_topology(X0,X1,X2))
| separation(f21(X2,subspace_topology(X0,X1,X2)),f22(X2,subspace_topology(X0,X1,X2)),X2,subspace_topology(X0,X1,X2)) ) ).
cnf(u1119,axiom,
( hausdorff(X0,X1)
| ~ element_of_set(f20(X0,X1),X2)
| ~ hausdorff(X2,X3)
| neighborhood(f17(X2,X3,f19(X0,X1),f20(X0,X1)),f19(X0,X1),X2,X3)
| ~ topological_space(X0,X1)
| ~ element_of_set(f19(X0,X1),X2) ) ).
cnf(u1123,axiom,
( hausdorff(X0,X1)
| ~ element_of_set(f20(X0,X1),X2)
| ~ hausdorff(X2,X3)
| neighborhood(f18(X2,X3,f19(X0,X1),f20(X0,X1)),f20(X0,X1),X2,X3)
| ~ topological_space(X0,X1)
| ~ element_of_set(f19(X0,X1),X2) ) ).
cnf(u1251,axiom,
( neighborhood(f18(X5,X6,f15(X0,X1,X2,X3,X4),X0),X0,X5,X6)
| ~ element_of_set(X0,X5)
| ~ hausdorff(X5,X6)
| ~ element_of_set(f15(X0,X1,X2,X3,X4),X5)
| ~ neighborhood(X4,X0,X2,X3)
| ~ limit_point(X0,X1,X2,X3) ) ).
cnf(u1257,axiom,
( open(f18(X1,X2,f15(X0,X3,X4,X5,X6),X0),X1,X2)
| ~ hausdorff(X1,X2)
| ~ element_of_set(f15(X0,X3,X4,X5,X6),X1)
| ~ neighborhood(X6,X0,X4,X5)
| ~ limit_point(X0,X3,X4,X5)
| ~ element_of_set(X0,X1) ) ).
cnf(u1262,axiom,
( neighborhood(f17(X5,X6,f15(X0,X1,X2,X3,X4),X0),f15(X0,X1,X2,X3,X4),X5,X6)
| ~ element_of_set(X0,X5)
| ~ hausdorff(X5,X6)
| ~ element_of_set(f15(X0,X1,X2,X3,X4),X5)
| ~ neighborhood(X4,X0,X2,X3)
| ~ limit_point(X0,X1,X2,X3) ) ).
cnf(u1268,axiom,
( open(f17(X1,X2,f15(X0,X3,X4,X5,X6),X0),X1,X2)
| ~ hausdorff(X1,X2)
| ~ element_of_set(f15(X0,X3,X4,X5,X6),X1)
| ~ neighborhood(X6,X0,X4,X5)
| ~ limit_point(X0,X3,X4,X5)
| ~ element_of_set(X0,X1) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TOP010-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 % Computer : n011.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Mon Sep 28 18:48:46 UTC 2026
% 0.10/0.21 % CPUTime :
% 0.10/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.24 Running first-order theorem proving
% 0.10/0.24 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.28/2.44 % (3647688)Input is clausal, will run a generic CNF schedule.
% 12.28/2.44 % (3647795)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2981612620:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 12.28/2.44 % (3647787)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=721803375:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 12.28/2.44 % (3647792)lrs+10_1_sil=8000:sp=occurrence:random_seed=1153859822:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 12.28/2.44 % (3647788)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2322119700:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 12.28/2.44 % (3647793)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2992236386:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 12.28/2.44 % (3647796)dis-21_1_sil=8000:lcm=predicate:random_seed=3409125458: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)
% 12.28/2.44 % (3647790)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=857235795:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 12.28/2.44 % (3647793)Refutation not found, incomplete strategy
% 12.28/2.44 % (3647793)------------------------------
% 12.28/2.44 % (3647793)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.28/2.44 % (3647793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.28/2.44 % (3647793)CaDiCaL version: 2.1.3
% 12.28/2.44 % (3647793)Termination reason: Refutation not found, incomplete strategy
% 12.28/2.44 % (3647793)Time elapsed: 0.002 s
% 12.28/2.44 % (3647793)Peak memory usage: 88 MB
% 12.28/2.44 % (3647793)Instructions burned: 1 (million)
% 12.28/2.44 % (3647792)Refutation not found, incomplete strategy
% 12.28/2.44 % (3647792)------------------------------
% 12.28/2.44 % (3647792)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.28/2.44 % (3647792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.28/2.44 % (3647792)CaDiCaL version: 2.1.3
% 12.28/2.44 % (3647792)Termination reason: Refutation not found, incomplete strategy
% 12.28/2.44 % (3647792)Time elapsed: 0.002 s
% 12.28/2.44 % (3647792)Peak memory usage: 88 MB
% 12.28/2.44 % (3647792)Instructions burned: 1 (million)
% 12.28/2.44 % (3647795)Instruction limit reached!
% 12.28/2.44 % (3647795)------------------------------
% 12.28/2.44 % (3647795)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.28/2.44 % (3647795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.28/2.44 % (3647795)CaDiCaL version: 2.1.3
% 12.28/2.44 % (3647795)Termination reason: Instruction limit
% 12.28/2.44 % (3647795)Termination phase: Saturation
% 12.28/2.44 % (3647795)Time elapsed: 0.062 s
% 12.28/2.44 % (3647795)Peak memory usage: 89 MB
% 12.28/2.44 % (3647795)Instructions burned: 182 (million)
% 12.28/2.44 % (3647796)Instruction limit reached!
% 12.28/2.44 % (3647796)------------------------------
% 12.28/2.44 % (3647796)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.28/2.44 % (3647796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.28/2.44 % (3647796)CaDiCaL version: 2.1.3
% 12.28/2.44 % (3647796)Termination reason: Instruction limit
% 12.28/2.44 % (3647796)Termination phase: Saturation
% 12.28/2.44 % (3647796)Time elapsed: 0.073 s
% 12.28/2.44 % (3647796)Peak memory usage: 88 MB
% 12.28/2.44 % (3647796)Instructions burned: 117 (million)
% 12.28/2.44 % (3647859)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=3217009257:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 12.28/2.44 % (3647859)Refutation not found, incomplete strategy
% 12.28/2.44 % (3647859)------------------------------
% 12.28/2.44 % (3647859)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.28/2.44 % (3647859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.28/2.44 % (3647859)CaDiCaL version: 2.1.3
% 12.28/2.44 % (3647859)Termination reason: Refutation not found, incomplete strategy
% 12.28/2.44 % (3647859)Time elapsed: 0.001 s
% 12.28/2.44 % (3647859)Peak memory usage: 88 MB
% 12.28/2.44 % (3647859)Instructions burned: 2 (million)
% 12.28/2.44 % (3647860)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2822755848:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 13.97/2.74 % (3647792)------------------------------
% 13.97/2.74 % (3647792)------------------------------
% 13.97/2.74 % (3647793)------------------------------
% 13.97/2.74 % (3647793)------------------------------
% 13.97/2.74 % (3647859)------------------------------
% 13.97/2.74 % (3647859)------------------------------
% 13.97/2.74 % (3647860)Instruction limit reached!
% 13.97/2.74 % (3647860)------------------------------
% 13.97/2.74 % (3647860)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.97/2.74 % (3647860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.97/2.74 % (3647860)CaDiCaL version: 2.1.3
% 13.97/2.74 % (3647860)Termination reason: Instruction limit
% 13.97/2.74 % (3647860)Termination phase: Saturation
% 13.97/2.74 % (3647860)Time elapsed: 0.100 s
% 13.97/2.74 % (3647860)Peak memory usage: 92 MB
% 13.97/2.74 % (3647860)Instructions burned: 190 (million)
% 13.97/2.74 % (3647865)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=790340653:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 13.97/2.74 % (3647864)lrs+10_64_to=lpo:sil=8000:random_seed=824053119:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 13.97/2.74 % (3647863)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=523697461:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 13.97/2.74 % (3647863)Refutation not found, incomplete strategy
% 13.97/2.74 % (3647863)------------------------------
% 13.97/2.74 % (3647863)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.97/2.74 % (3647863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.97/2.74 % (3647863)CaDiCaL version: 2.1.3
% 13.97/2.74 % (3647863)Termination reason: Refutation not found, incomplete strategy
% 13.97/2.74 % (3647863)Time elapsed: 0.002 s
% 13.97/2.74 % (3647863)Peak memory usage: 88 MB
% 13.97/2.74 % (3647863)Instructions burned: 3 (million)
% 13.97/2.74 % (3647865)Instruction limit reached!
% 13.97/2.74 % (3647865)------------------------------
% 13.97/2.74 % (3647865)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.97/2.74 % (3647865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.97/2.74 % (3647865)CaDiCaL version: 2.1.3
% 13.97/2.74 % (3647865)Termination reason: Instruction limit
% 13.97/2.74 % (3647865)Termination phase: Saturation
% 13.97/2.74 % (3647865)Time elapsed: 0.055 s
% 13.97/2.74 % (3647865)Peak memory usage: 88 MB
% 13.97/2.74 % (3647865)Instructions burned: 195 (million)
% 13.97/2.74 % (3647864)Instruction limit reached!
% 13.97/2.74 % (3647864)------------------------------
% 13.97/2.74 % (3647864)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.97/2.74 % (3647864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.97/2.74 % (3647864)CaDiCaL version: 2.1.3
% 13.97/2.74 % (3647864)Termination reason: Instruction limit
% 13.97/2.74 % (3647864)Termination phase: Saturation
% 13.97/2.74 % (3647864)Time elapsed: 0.067 s
% 13.97/2.74 % (3647864)Peak memory usage: 88 MB
% 13.97/2.74 % (3647864)Instructions burned: 127 (million)
% 13.97/2.74 % (3647866)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=4105569910:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 13.97/2.74 % (3647870)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2690237233:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 13.97/2.74 % (3647866)Instruction limit reached!
% 13.97/2.74 % (3647866)------------------------------
% 13.97/2.74 % (3647866)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.97/2.74 % (3647866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.97/2.74 % (3647866)CaDiCaL version: 2.1.3
% 13.97/2.74 % (3647866)Termination reason: Instruction limit
% 13.97/2.74 % (3647866)Termination phase: Saturation
% 13.97/2.74 % (3647866)Time elapsed: 0.107 s
% 13.97/2.74 % (3647866)Peak memory usage: 90 MB
% 13.97/2.74 % (3647866)Instructions burned: 158 (million)
% 13.97/2.74 % (3647871)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=1578999741:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 13.97/2.74 % (3647863)------------------------------
% 13.97/2.74 % (3647863)------------------------------
% 13.97/2.74 % (3647871)Instruction limit reached!
% 13.97/2.74 % (3647871)------------------------------
% 13.97/2.74 % (3647871)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.97/2.74 % (3647871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.97/2.74 % (3647871)CaDiCaL version: 2.1.3
% 13.97/2.74 % (3647871)Termination reason: Instruction limit
% 13.97/2.74 % (3647871)Termination phase: Saturation
% 13.97/2.74 % (3647871)Time elapsed: 0.054 s
% 13.97/2.74 % (3647871)Peak memory usage: 89 MB
% 13.97/2.74 % (3647871)Instructions burned: 107 (million)
% 13.97/2.74 % (3647874)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=714802901:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 13.97/2.74 % (3647874)Refutation not found, incomplete strategy
% 13.97/2.74 % (3647874)------------------------------
% 13.97/2.74 % (3647874)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.97/2.74 % (3647874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.97/2.74 % (3647874)CaDiCaL version: 2.1.3
% 13.97/2.74 % (3647874)Termination reason: Refutation not found, incomplete strategy
% 13.97/2.74 % (3647874)Time elapsed: 0.005 s
% 13.97/2.74 % (3647874)Peak memory usage: 88 MB
% 13.97/2.74 % (3647874)Instructions burned: 6 (million)
% 13.97/2.74 % (3647876)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=4146125153:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 13.97/2.74 % (3647877)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1991129911:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 13.97/2.74 % (3647876)Instruction limit reached!
% 13.97/2.74 % (3647876)------------------------------
% 13.97/2.74 % (3647876)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.97/2.74 % (3647876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.97/2.74 % (3647876)CaDiCaL version: 2.1.3
% 13.97/2.74 % (3647876)Termination reason: Instruction limit
% 13.97/2.74 % (3647876)Termination phase: Saturation
% 13.97/2.74 % (3647876)Time elapsed: 0.096 s
% 13.97/2.74 % (3647876)Peak memory usage: 88 MB
% 13.97/2.74 % (3647876)Instructions burned: 242 (million)
% 13.97/2.74 % (3647874)------------------------------
% 13.97/2.74 % (3647874)------------------------------
% 13.97/2.74 % (3647881)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=4144426880:i=134:sd=2:doe=on:ss=axioms:sgt=14_2989 on theBenchmark for (2989ds/134Mi)
% 13.97/2.74 % (3647881)Refutation not found, incomplete strategy
% 13.97/2.74 % (3647881)------------------------------
% 13.97/2.74 % (3647881)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.97/2.74 % (3647881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.97/2.74 % (3647881)CaDiCaL version: 2.1.3
% 13.97/2.74 % (3647881)Termination reason: Refutation not found, incomplete strategy
% 13.97/2.74 % (3647881)Time elapsed: 0.004 s
% 13.97/2.74 % (3647881)Peak memory usage: 88 MB
% 13.97/2.74 % (3647881)Instructions burned: 5 (million)
% 13.97/2.74 % (3647882)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=840568872:i=499:bd=all_2988 on theBenchmark for (2988ds/499Mi)
% 13.97/2.74 % (3647881)------------------------------
% 13.97/2.74 % (3647881)------------------------------
% 13.97/2.74 % (3647882)Instruction limit reached!
% 13.97/2.74 % (3647882)------------------------------
% 13.97/2.74 % (3647882)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.97/2.74 % (3647882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.97/2.74 % (3647882)CaDiCaL version: 2.1.3
% 13.97/2.74 % (3647882)Termination reason: Instruction limit
% 13.97/2.74 % (3647882)Termination phase: Saturation
% 13.97/2.74 % (3647882)Time elapsed: 0.310 s
% 13.97/2.74 % (3647882)Peak memory usage: 95 MB
% 13.97/2.74 % (3647882)Instructions burned: 499 (million)
% 13.97/2.74 % (3647885)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2815032386:i=191:fgj=on:bd=all_2985 on theBenchmark for (2985ds/191Mi)
% 13.97/2.74 % (3647885)Instruction limit reached!
% 13.97/2.74 % (3647885)------------------------------
% 13.97/2.74 % (3647885)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.97/2.74 % (3647885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.97/2.74 % (3647885)CaDiCaL version: 2.1.3
% 13.97/2.74 % (3647885)Termination reason: Instruction limit
% 13.97/2.74 % (3647885)Termination phase: Saturation
% 13.97/2.74 % (3647885)Time elapsed: 0.110 s
% 13.97/2.74 % (3647885)Peak memory usage: 90 MB
% 13.97/2.74 % (3647885)Instructions burned: 191 (million)
% 13.97/2.74 % (3647886)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1845951744:i=264:kws=precedence:fsr=off_2983 on theBenchmark for (2983ds/264Mi)
% 13.97/2.74 % (3647886)First to succeed.
% 13.97/2.74 % (3647886)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3647688"
% 13.97/2.74 % (3647870)Instruction limit reached!
% 13.97/2.74 % (3647870)------------------------------
% 13.97/2.74 % (3647870)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.97/2.74 % (3647870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.97/2.74 % (3647870)CaDiCaL version: 2.1.3
% 13.97/2.74 % (3647870)Termination reason: Instruction limit
% 13.97/2.74 % (3647870)Termination phase: Saturation
% 13.97/2.74 % (3647870)Time elapsed: 1.169 s
% 13.97/2.74 % (3647870)Peak memory usage: 150 MB
% 13.97/2.74 % (3647870)Instructions burned: 3395 (million)
% 13.97/2.74 % (3647888)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=4186375113:cond=on:i=156:bs=on:gtg=exists_all:er=known_2982 on theBenchmark for (2982ds/156Mi)
% 13.97/2.74 % (3647888)Refutation not found, incomplete strategy
% 13.97/2.74 % (3647888)------------------------------
% 13.97/2.74 % (3647888)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.97/2.74 % (3647888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.97/2.74 % (3647888)CaDiCaL version: 2.1.3
% 13.97/2.74 % (3647888)Termination reason: Refutation not found, incomplete strategy
% 13.97/2.74 % (3647888)Time elapsed: 0.007 s
% 13.97/2.74 % (3647888)Peak memory usage: 88 MB
% 13.97/2.74 % (3647888)Instructions burned: 10 (million)
% 13.97/2.74 % (3647890)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=4049440339:i=3256:kws=precedence:bd=preordered:av=off_2980 on theBenchmark for (2980ds/3256Mi)
% 13.97/2.74 % SZS status Satisfiable for theBenchmark
% 13.97/2.74 % SZS output start Saturation.
% See solution above
% 15.09/2.83 % SZS output start Definitions and Model Updates.
% 15.09/2.83 % SZS output end Definitions and Model Updates.
% 15.09/2.83 % (3647886)------------------------------
% 15.09/2.83 % (3647886)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.09/2.83 % (3647886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.09/2.83 % (3647886)CaDiCaL version: 2.1.3
% 15.09/2.83 % (3647886)Termination reason: Satisfiable
% 15.09/2.83 % (3647886)Time elapsed: 0.022 s
% 15.09/2.83 % (3647886)Peak memory usage: 88 MB
% 15.09/2.83 % (3647886)Instructions burned: 33 (million)
% 15.09/2.83 % (3647886)------------------------------
% 15.09/2.83 % (3647886)------------------------------
% 15.09/2.83 % (3647688)Success in time 2.067 s
% 15.09/2.83 % Vampire exiting
%------------------------------------------------------------------------------