%------------------------------------------------------------------------------
% File : Mace4---2026-6A
% Problem : TOP006-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : mace4 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 : Sun Sep 27 09:52:47 AM UTC 2026
% Result : Satisfiable 0.11s 0.37s
% Output : FiniteModel 0.11s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(interp_domain,interpretation-domains,
! [X] :
( X = "d1"
| X = "d0" ) ).
fof(interp_functions,interpretation-mappings,
( f6("d1","d1","d1","d1","d1") = "d0"
& f6("d1","d1","d1","d1","d0") = "d0"
& f6("d1","d1","d1","d0","d1") = "d0"
& f6("d1","d1","d1","d0","d0") = "d0"
& f6("d1","d1","d0","d1","d1") = "d0"
& f6("d1","d1","d0","d1","d0") = "d0"
& f6("d1","d1","d0","d0","d1") = "d0"
& f6("d1","d1","d0","d0","d0") = "d0"
& f6("d1","d0","d1","d1","d1") = "d0"
& f6("d1","d0","d1","d1","d0") = "d0"
& f6("d1","d0","d1","d0","d1") = "d0"
& f6("d1","d0","d1","d0","d0") = "d0"
& f6("d1","d0","d0","d1","d1") = "d0"
& f6("d1","d0","d0","d1","d0") = "d0"
& f6("d1","d0","d0","d0","d1") = "d0"
& f6("d1","d0","d0","d0","d0") = "d0"
& f6("d0","d1","d1","d1","d1") = "d0"
& f6("d0","d1","d1","d1","d0") = "d0"
& f6("d0","d1","d1","d0","d1") = "d0"
& f6("d0","d1","d1","d0","d0") = "d0"
& f6("d0","d1","d0","d1","d1") = "d0"
& f6("d0","d1","d0","d1","d0") = "d0"
& f6("d0","d1","d0","d0","d1") = "d0"
& f6("d0","d1","d0","d0","d0") = "d0"
& f6("d0","d0","d1","d1","d1") = "d0"
& f6("d0","d0","d1","d1","d0") = "d0"
& f6("d0","d0","d1","d0","d1") = "d0"
& f6("d0","d0","d1","d0","d0") = "d0"
& f6("d0","d0","d0","d1","d1") = "d0"
& f6("d0","d0","d0","d1","d0") = "d0"
& f6("d0","d0","d0","d0","d1") = "d0"
& f6("d0","d0","d0","d0","d0") = "d0"
& f15("d1","d1","d1","d1","d1") = "d0"
& f15("d1","d1","d1","d1","d0") = "d0"
& f15("d1","d1","d1","d0","d1") = "d0"
& f15("d1","d1","d1","d0","d0") = "d0"
& f15("d1","d1","d0","d1","d1") = "d0"
& f15("d1","d1","d0","d1","d0") = "d0"
& f15("d1","d1","d0","d0","d1") = "d0"
& f15("d1","d1","d0","d0","d0") = "d0"
& f15("d1","d0","d1","d1","d1") = "d0"
& f15("d1","d0","d1","d1","d0") = "d0"
& f15("d1","d0","d1","d0","d1") = "d0"
& f15("d1","d0","d1","d0","d0") = "d0"
& f15("d1","d0","d0","d1","d1") = "d0"
& f15("d1","d0","d0","d1","d0") = "d0"
& f15("d1","d0","d0","d0","d1") = "d0"
& f15("d1","d0","d0","d0","d0") = "d0"
& f15("d0","d1","d1","d1","d1") = "d0"
& f15("d0","d1","d1","d1","d0") = "d0"
& f15("d0","d1","d1","d0","d1") = "d0"
& f15("d0","d1","d1","d0","d0") = "d0"
& f15("d0","d1","d0","d1","d1") = "d0"
& f15("d0","d1","d0","d1","d0") = "d0"
& f15("d0","d1","d0","d0","d1") = "d0"
& f15("d0","d1","d0","d0","d0") = "d0"
& f15("d0","d0","d1","d1","d1") = "d0"
& f15("d0","d0","d1","d1","d0") = "d0"
& f15("d0","d0","d1","d0","d1") = "d0"
& f15("d0","d0","d1","d0","d0") = "d0"
& f15("d0","d0","d0","d1","d1") = "d0"
& f15("d0","d0","d0","d1","d0") = "d0"
& f15("d0","d0","d0","d0","d1") = "d0"
& f15("d0","d0","d0","d0","d0") = "d0"
& f18("d1","d1","d1","d1") = "d0"
& f18("d1","d1","d1","d0") = "d0"
& f18("d1","d1","d0","d1") = "d0"
& f18("d1","d1","d0","d0") = "d0"
& f18("d1","d0","d1","d1") = "d0"
& f18("d1","d0","d1","d0") = "d0"
& f18("d1","d0","d0","d1") = "d0"
& f18("d1","d0","d0","d0") = "d0"
& f18("d0","d1","d1","d1") = "d0"
& f18("d0","d1","d1","d0") = "d0"
& f18("d0","d1","d0","d1") = "d0"
& f18("d0","d1","d0","d0") = "d0"
& f18("d0","d0","d1","d1") = "d0"
& f18("d0","d0","d1","d0") = "d0"
& f18("d0","d0","d0","d1") = "d0"
& f18("d0","d0","d0","d0") = "d0"
& f17("d1","d1","d1","d1") = "d0"
& f17("d1","d1","d1","d0") = "d0"
& f17("d1","d1","d0","d1") = "d0"
& f17("d1","d1","d0","d0") = "d0"
& f17("d1","d0","d1","d1") = "d0"
& f17("d1","d0","d1","d0") = "d0"
& f17("d1","d0","d0","d1") = "d0"
& f17("d1","d0","d0","d0") = "d0"
& f17("d0","d1","d1","d1") = "d0"
& f17("d0","d1","d1","d0") = "d0"
& f17("d0","d1","d0","d1") = "d0"
& f17("d0","d1","d0","d0") = "d0"
& f17("d0","d0","d1","d1") = "d0"
& f17("d0","d0","d1","d0") = "d0"
& f17("d0","d0","d0","d1") = "d0"
& f17("d0","d0","d0","d0") = "d0"
& f16("d1","d1","d1","d1") = "d0"
& f16("d1","d1","d1","d0") = "d0"
& f16("d1","d1","d0","d1") = "d0"
& f16("d1","d1","d0","d0") = "d0"
& f16("d1","d0","d1","d1") = "d0"
& f16("d1","d0","d1","d0") = "d0"
& f16("d1","d0","d0","d1") = "d0"
& f16("d1","d0","d0","d0") = "d0"
& f16("d0","d1","d1","d1") = "d0"
& f16("d0","d1","d1","d0") = "d0"
& f16("d0","d1","d0","d1") = "d0"
& f16("d0","d1","d0","d0") = "d0"
& f16("d0","d0","d1","d1") = "d0"
& f16("d0","d0","d1","d0") = "d0"
& f16("d0","d0","d0","d1") = "d0"
& f16("d0","d0","d0","d0") = "d0"
& f14("d1","d1","d1","d1") = "d0"
& f14("d1","d1","d1","d0") = "d0"
& f14("d1","d1","d0","d1") = "d0"
& f14("d1","d1","d0","d0") = "d0"
& f14("d1","d0","d1","d1") = "d0"
& f14("d1","d0","d1","d0") = "d0"
& f14("d1","d0","d0","d1") = "d0"
& f14("d1","d0","d0","d0") = "d0"
& f14("d0","d1","d1","d1") = "d0"
& f14("d0","d1","d1","d0") = "d0"
& f14("d0","d1","d0","d1") = "d0"
& f14("d0","d1","d0","d0") = "d0"
& f14("d0","d0","d1","d1") = "d0"
& f14("d0","d0","d1","d0") = "d0"
& f14("d0","d0","d0","d1") = "d0"
& f14("d0","d0","d0","d0") = "d0"
& f13("d1","d1","d1","d1") = "d0"
& f13("d1","d1","d1","d0") = "d0"
& f13("d1","d1","d0","d1") = "d0"
& f13("d1","d1","d0","d0") = "d0"
& f13("d1","d0","d1","d1") = "d0"
& f13("d1","d0","d1","d0") = "d0"
& f13("d1","d0","d0","d1") = "d0"
& f13("d1","d0","d0","d0") = "d0"
& f13("d0","d1","d1","d1") = "d0"
& f13("d0","d1","d1","d0") = "d0"
& f13("d0","d1","d0","d1") = "d0"
& f13("d0","d1","d0","d0") = "d0"
& f13("d0","d0","d1","d1") = "d0"
& f13("d0","d0","d1","d0") = "d0"
& f13("d0","d0","d0","d1") = "d0"
& f13("d0","d0","d0","d0") = "d0"
& f12("d1","d1","d1","d1") = "d0"
& f12("d1","d1","d1","d0") = "d0"
& f12("d1","d1","d0","d1") = "d0"
& f12("d1","d1","d0","d0") = "d0"
& f12("d1","d0","d1","d1") = "d0"
& f12("d1","d0","d1","d0") = "d0"
& f12("d1","d0","d0","d1") = "d0"
& f12("d1","d0","d0","d0") = "d0"
& f12("d0","d1","d1","d1") = "d0"
& f12("d0","d1","d1","d0") = "d0"
& f12("d0","d1","d0","d1") = "d0"
& f12("d0","d1","d0","d0") = "d0"
& f12("d0","d0","d1","d1") = "d0"
& f12("d0","d0","d1","d0") = "d0"
& f12("d0","d0","d0","d1") = "d0"
& f12("d0","d0","d0","d0") = "d0"
& subspace_topology("d1","d1","d1") = "d1"
& subspace_topology("d1","d1","d0") = "d1"
& subspace_topology("d1","d0","d1") = "d1"
& subspace_topology("d1","d0","d0") = "d1"
& subspace_topology("d0","d1","d1") = "d1"
& subspace_topology("d0","d1","d0") = "d1"
& subspace_topology("d0","d0","d1") = "d1"
& subspace_topology("d0","d0","d0") = "d1"
& interior("d1","d1","d1") = "d0"
& interior("d1","d1","d0") = "d0"
& interior("d1","d0","d1") = "d0"
& interior("d1","d0","d0") = "d0"
& interior("d0","d1","d1") = "d0"
& interior("d0","d1","d0") = "d0"
& interior("d0","d0","d1") = "d0"
& interior("d0","d0","d0") = "d0"
& f23("d1","d1","d1") = "d0"
& f23("d1","d1","d0") = "d0"
& f23("d1","d0","d1") = "d0"
& f23("d1","d0","d0") = "d0"
& f23("d0","d1","d1") = "d0"
& f23("d0","d1","d0") = "d0"
& f23("d0","d0","d1") = "d0"
& f23("d0","d0","d0") = "d0"
& f10("d1","d1","d1") = "d0"
& f10("d1","d1","d0") = "d0"
& f10("d1","d0","d1") = "d0"
& f10("d1","d0","d0") = "d0"
& f10("d0","d1","d1") = "d0"
& f10("d0","d1","d0") = "d0"
& f10("d0","d0","d1") = "d0"
& f10("d0","d0","d0") = "d0"
& closure("d1","d1","d1") = "d0"
& closure("d1","d1","d0") = "d0"
& closure("d1","d0","d1") = "d0"
& closure("d1","d0","d0") = "d0"
& closure("d0","d1","d1") = "d0"
& closure("d0","d1","d0") = "d0"
& closure("d0","d0","d1") = "d0"
& closure("d0","d0","d0") = "d0"
& boundary("d1","d1","d1") = "d0"
& boundary("d1","d1","d0") = "d0"
& boundary("d1","d0","d1") = "d0"
& boundary("d1","d0","d0") = "d0"
& boundary("d0","d1","d1") = "d0"
& boundary("d0","d1","d0") = "d0"
& boundary("d0","d0","d1") = "d0"
& boundary("d0","d0","d0") = "d0"
& union_of_sets("d1","d1") = "d0"
& union_of_sets("d1","d0") = "d0"
& union_of_sets("d0","d1") = "d0"
& union_of_sets("d0","d0") = "d0"
& relative_complement_sets("d1","d1") = "d0"
& relative_complement_sets("d1","d0") = "d0"
& relative_complement_sets("d0","d1") = "d0"
& relative_complement_sets("d0","d0") = "d0"
& intersection_of_sets("d1","d1") = "d0"
& intersection_of_sets("d1","d0") = "d0"
& intersection_of_sets("d0","d1") = "d0"
& intersection_of_sets("d0","d0") = "d1"
& f9("d1","d1") = "d0"
& f9("d1","d0") = "d0"
& f9("d0","d1") = "d0"
& f9("d0","d0") = "d0"
& f8("d1","d1") = "d0"
& f8("d1","d0") = "d0"
& f8("d0","d1") = "d0"
& f8("d0","d0") = "d0"
& f7("d1","d1") = "d0"
& f7("d1","d0") = "d0"
& f7("d0","d1") = "d0"
& f7("d0","d0") = "d0"
& f5("d1","d1") = "d0"
& f5("d1","d0") = "d0"
& f5("d0","d1") = "d0"
& f5("d0","d0") = "d0"
& f4("d1","d1") = "d0"
& f4("d1","d0") = "d0"
& f4("d0","d1") = "d0"
& f4("d0","d0") = "d0"
& f3("d1","d1") = "d0"
& f3("d1","d0") = "d0"
& f3("d0","d1") = "d0"
& f3("d0","d0") = "d0"
& f24("d1","d1") = "d0"
& f24("d1","d0") = "d0"
& f24("d0","d1") = "d0"
& f24("d0","d0") = "d0"
& f22("d1","d1") = "d0"
& f22("d1","d0") = "d0"
& f22("d0","d1") = "d0"
& f22("d0","d0") = "d0"
& f21("d1","d1") = "d0"
& f21("d1","d0") = "d0"
& f21("d0","d1") = "d0"
& f21("d0","d0") = "d0"
& f20("d1","d1") = "d0"
& f20("d1","d0") = "d0"
& f20("d0","d1") = "d0"
& f20("d0","d0") = "d0"
& f2("d1","d1") = "d0"
& f2("d1","d0") = "d0"
& f2("d0","d1") = "d0"
& f2("d0","d0") = "d0"
& f19("d1","d1") = "d0"
& f19("d1","d0") = "d0"
& f19("d0","d1") = "d0"
& f19("d0","d0") = "d0"
& f11("d1","d1") = "d0"
& f11("d1","d0") = "d0"
& f11("d0","d1") = "d0"
& f11("d0","d0") = "d0"
& f1("d1","d1") = "d0"
& f1("d1","d0") = "d0"
& f1("d0","d1") = "d0"
& f1("d0","d0") = "d0"
& union_of_members("d1") = "d0"
& union_of_members("d0") = "d0"
& top_of_basis("d1") = "d0"
& top_of_basis("d0") = "d0"
& intersection_of_members("d1") = "d1"
& intersection_of_members("d0") = "d0"
& empty_set = "d0"
& cx = "d0"
& ct = "d0" ) ).
fof(interp_relations,interpretation-mappings,
( ~ separation("d1","d1","d1","d1")
& ~ separation("d1","d1","d1","d0")
& ~ separation("d1","d1","d0","d1")
& ~ separation("d1","d1","d0","d0")
& ~ separation("d1","d0","d1","d1")
& ~ separation("d1","d0","d1","d0")
& ~ separation("d1","d0","d0","d1")
& ~ separation("d1","d0","d0","d0")
& ~ separation("d0","d1","d1","d1")
& ~ separation("d0","d1","d1","d0")
& ~ separation("d0","d1","d0","d1")
& ~ separation("d0","d1","d0","d0")
& ~ separation("d0","d0","d1","d1")
& ~ separation("d0","d0","d1","d0")
& ~ separation("d0","d0","d0","d1")
& ~ separation("d0","d0","d0","d0")
& ~ neighborhood("d1","d1","d1","d1")
& ~ neighborhood("d1","d1","d1","d0")
& ~ neighborhood("d1","d1","d0","d1")
& ~ neighborhood("d1","d1","d0","d0")
& ~ neighborhood("d1","d0","d1","d1")
& ~ neighborhood("d1","d0","d1","d0")
& ~ neighborhood("d1","d0","d0","d1")
& ~ neighborhood("d1","d0","d0","d0")
& ~ neighborhood("d0","d1","d1","d1")
& ~ neighborhood("d0","d1","d1","d0")
& ~ neighborhood("d0","d1","d0","d1")
& ~ neighborhood("d0","d1","d0","d0")
& ~ neighborhood("d0","d0","d1","d1")
& ~ neighborhood("d0","d0","d1","d0")
& ~ neighborhood("d0","d0","d0","d1")
& ~ neighborhood("d0","d0","d0","d0")
& ~ limit_point("d1","d1","d1","d1")
& ~ limit_point("d1","d1","d1","d0")
& ~ limit_point("d1","d1","d0","d1")
& ~ limit_point("d1","d1","d0","d0")
& ~ limit_point("d1","d0","d1","d1")
& ~ limit_point("d1","d0","d1","d0")
& ~ limit_point("d1","d0","d0","d1")
& ~ limit_point("d1","d0","d0","d0")
& ~ limit_point("d0","d1","d1","d1")
& ~ limit_point("d0","d1","d1","d0")
& ~ limit_point("d0","d1","d0","d1")
& ~ limit_point("d0","d1","d0","d0")
& ~ limit_point("d0","d0","d1","d1")
& ~ limit_point("d0","d0","d1","d0")
& ~ limit_point("d0","d0","d0","d1")
& ~ limit_point("d0","d0","d0","d0")
& ~ open_covering("d1","d1","d1")
& ~ open_covering("d1","d1","d0")
& ~ open_covering("d1","d0","d1")
& ~ open_covering("d1","d0","d0")
& ~ open_covering("d0","d1","d1")
& ~ open_covering("d0","d1","d0")
& ~ open_covering("d0","d0","d1")
& ~ open_covering("d0","d0","d0")
& ~ open("d1","d1","d1")
& ~ open("d1","d1","d0")
& ~ open("d1","d0","d1")
& ~ open("d1","d0","d0")
& ~ open("d0","d1","d1")
& ~ open("d0","d1","d0")
& ~ open("d0","d0","d1")
& ~ open("d0","d0","d0")
& ~ finer("d1","d1","d1")
& ~ finer("d1","d1","d0")
& ~ finer("d1","d0","d1")
& ~ finer("d1","d0","d0")
& ~ finer("d0","d1","d1")
& ~ finer("d0","d1","d0")
& ~ finer("d0","d0","d1")
& ~ finer("d0","d0","d0")
& ~ connected_set("d1","d1","d1")
& ~ connected_set("d1","d1","d0")
& ~ connected_set("d1","d0","d1")
& ~ connected_set("d1","d0","d0")
& ~ connected_set("d0","d1","d1")
& ~ connected_set("d0","d1","d0")
& ~ connected_set("d0","d0","d1")
& ~ connected_set("d0","d0","d0")
& ~ compact_set("d1","d1","d1")
& ~ compact_set("d1","d1","d0")
& ~ compact_set("d1","d0","d1")
& ~ compact_set("d1","d0","d0")
& ~ compact_set("d0","d1","d1")
& ~ compact_set("d0","d1","d0")
& ~ compact_set("d0","d0","d1")
& ~ compact_set("d0","d0","d0")
& ~ closed("d1","d1","d1")
& ~ closed("d1","d1","d0")
& ~ closed("d1","d0","d1")
& ~ closed("d1","d0","d0")
& ~ closed("d0","d1","d1")
& ~ closed("d0","d1","d0")
& ~ closed("d0","d0","d1")
& ~ closed("d0","d0","d0")
& ~ topological_space("d1","d1")
& ~ topological_space("d1","d0")
& ~ topological_space("d0","d1")
& ~ topological_space("d0","d0")
& ~ subset_sets("d1","d1")
& ~ subset_sets("d1","d0")
& ~ subset_sets("d0","d1")
& ~ subset_sets("d0","d0")
& ~ subset_collections("d1","d1")
& ~ subset_collections("d1","d0")
& ~ subset_collections("d0","d1")
& ~ subset_collections("d0","d0")
& ~ hausdorff("d1","d1")
& ~ hausdorff("d1","d0")
& ~ hausdorff("d0","d1")
& ~ hausdorff("d0","d0")
& ~ equal_sets("d1","d1")
& ~ equal_sets("d1","d0")
& ~ equal_sets("d0","d1")
& equal_sets("d0","d0")
& ~ eq_p("d1","d1")
& ~ eq_p("d1","d0")
& ~ eq_p("d0","d1")
& ~ eq_p("d0","d0")
& element_of_set("d1","d1")
& ~ element_of_set("d1","d0")
& element_of_set("d0","d1")
& ~ element_of_set("d0","d0")
& ~ element_of_collection("d1","d1")
& ~ element_of_collection("d1","d0")
& ~ element_of_collection("d0","d1")
& element_of_collection("d0","d0")
& ~ disjoint_s("d1","d1")
& ~ disjoint_s("d1","d0")
& ~ disjoint_s("d0","d1")
& ~ disjoint_s("d0","d0")
& ~ connected_space("d1","d1")
& ~ connected_space("d1","d0")
& ~ connected_space("d0","d1")
& ~ connected_space("d0","d0")
& ~ compact_space("d1","d1")
& ~ compact_space("d1","d0")
& ~ compact_space("d0","d1")
& ~ compact_space("d0","d0")
& ~ basis("d1","d1")
& ~ basis("d1","d0")
& basis("d0","d1")
& basis("d0","d0")
& ~ finite("d1")
& ~ finite("d0") ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : TOP006-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : mace4 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n007.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sat Sep 26 20:28:40 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.35 % Mace4 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.35 % Process 405703 was started by sandbox on n007,
% 0.08/0.35 % Sat Sep 26 20:28:40 2026
% 0.08/0.35 % The command was "/export/starexec/sandbox/solver/bin/mace4 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.11/0.37
% 0.11/0.37 % SZS status Satisfiable for theBenchmark
% 0.11/0.37 % SZS output start FiniteModel for theBenchmark
% See solution above
%------------------------------------------------------------------------------