TSTP Solution File: TOP010-1 by Paradox---4.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Paradox---4.0
% Problem : TOP010-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:short
% Command : paradox --no-progress --time %d --tstp --model %s
% Computer : n022.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 : 600s
% DateTime : Thu Jul 21 21:33:35 EDT 2022
% Result : Satisfiable 0.20s 0.46s
% Output : FiniteModel 0.20s
% Verified :
% SZS Type : FiniteModel
% Domain size : 2
% Comments :
%------------------------------------------------------------------------------
% domain size is 2
fof(domain,fi_domain,
! [X] :
( X = "1"
| X = "2" ) ).
fof(a,fi_functors,
a = "1" ).
fof(basis,fi_predicates,
( ( basis("1","1")
<=> $true )
& ( basis("1","2")
<=> $true )
& ( basis("2","1")
<=> $true )
& ( basis("2","2")
<=> $true ) ) ).
fof(boundary,fi_functors,
( boundary("1","1","1") = "1"
& boundary("1","1","2") = "1"
& boundary("1","2","1") = "1"
& boundary("1","2","2") = "1"
& boundary("2","1","1") = "1"
& boundary("2","1","2") = "1"
& boundary("2","2","1") = "1"
& boundary("2","2","2") = "1" ) ).
fof(closed,fi_predicates,
( ( closed("1","1","1")
<=> $true )
& ( closed("1","1","2")
<=> $true )
& ( closed("1","2","1")
<=> $true )
& ( closed("1","2","2")
<=> $true )
& ( closed("2","1","1")
<=> $true )
& ( closed("2","1","2")
<=> $true )
& ( closed("2","2","1")
<=> $true )
& ( closed("2","2","2")
<=> $true ) ) ).
fof(closure,fi_functors,
( closure("1","1","1") = "1"
& closure("1","1","2") = "1"
& closure("1","2","1") = "1"
& closure("1","2","2") = "1"
& closure("2","1","1") = "1"
& closure("2","1","2") = "1"
& closure("2","2","1") = "1"
& closure("2","2","2") = "1" ) ).
fof(compact_set,fi_predicates,
( ( compact_set("1","1","1")
<=> $true )
& ( compact_set("1","1","2")
<=> $false )
& ( compact_set("1","2","1")
<=> $true )
& ( compact_set("1","2","2")
<=> $true )
& ( compact_set("2","1","1")
<=> $true )
& ( compact_set("2","1","2")
<=> $false )
& ( compact_set("2","2","1")
<=> $false )
& ( compact_set("2","2","2")
<=> $false ) ) ).
fof(compact_space,fi_predicates,
( ( compact_space("1","1")
<=> $false )
& ( compact_space("1","2")
<=> $true )
& ( compact_space("2","1")
<=> $false )
& ( compact_space("2","2")
<=> $true ) ) ).
fof(connected_set,fi_predicates,
( ( connected_set("1","1","1")
<=> $true )
& ( connected_set("1","1","2")
<=> $true )
& ( connected_set("1","2","1")
<=> $true )
& ( connected_set("1","2","2")
<=> $true )
& ( connected_set("2","1","1")
<=> $true )
& ( connected_set("2","1","2")
<=> $true )
& ( connected_set("2","2","1")
<=> $true )
& ( connected_set("2","2","2")
<=> $true ) ) ).
fof(connected_space,fi_predicates,
( ( connected_space("1","1")
<=> $true )
& ( connected_space("1","2")
<=> $true )
& ( connected_space("2","1")
<=> $true )
& ( connected_space("2","2")
<=> $true ) ) ).
fof(ct1,fi_functors,
ct1 = "1" ).
fof(ct2,fi_functors,
ct2 = "2" ).
fof(cx,fi_functors,
cx = "1" ).
fof(disjoint_s,fi_predicates,
( ( disjoint_s("1","1")
<=> $true )
& ( disjoint_s("1","2")
<=> $false )
& ( disjoint_s("2","1")
<=> $false )
& ( disjoint_s("2","2")
<=> $false ) ) ).
fof(element_of_collection,fi_predicates,
( ( element_of_collection("1","1")
<=> $true )
& ( element_of_collection("1","2")
<=> $true )
& ( element_of_collection("2","1")
<=> $true )
& ( element_of_collection("2","2")
<=> $true ) ) ).
fof(element_of_set,fi_predicates,
( ( element_of_set("1","1")
<=> $true )
& ( element_of_set("1","2")
<=> $true )
& ( element_of_set("2","1")
<=> $true )
& ( element_of_set("2","2")
<=> $true ) ) ).
fof(empty_set,fi_functors,
empty_set = "1" ).
fof(eq_p,fi_predicates,
( ( eq_p("1","1")
<=> $true )
& ( eq_p("1","2")
<=> $false )
& ( eq_p("2","1")
<=> $true )
& ( eq_p("2","2")
<=> $false ) ) ).
fof(equal_sets,fi_predicates,
( ( equal_sets("1","1")
<=> $true )
& ( equal_sets("1","2")
<=> $true )
& ( equal_sets("2","1")
<=> $true )
& ( equal_sets("2","2")
<=> $true ) ) ).
fof(f1,fi_functors,
( f1("1","1") = "1"
& f1("1","2") = "1"
& f1("2","1") = "1"
& f1("2","2") = "1" ) ).
fof(f10,fi_functors,
( f10("1","1","1") = "1"
& f10("1","1","2") = "1"
& f10("1","2","1") = "1"
& f10("1","2","2") = "1"
& f10("2","1","1") = "1"
& f10("2","1","2") = "1"
& f10("2","2","1") = "1"
& f10("2","2","2") = "1" ) ).
fof(f11,fi_functors,
( f11("1","1") = "1"
& f11("1","2") = "1"
& f11("2","1") = "1"
& f11("2","2") = "1" ) ).
fof(f12,fi_functors,
( f12("1","1","1","1") = "1"
& f12("1","1","1","2") = "1"
& f12("1","1","2","1") = "1"
& f12("1","1","2","2") = "1"
& f12("1","2","1","1") = "1"
& f12("1","2","1","2") = "1"
& f12("1","2","2","1") = "1"
& f12("1","2","2","2") = "1"
& f12("2","1","1","1") = "1"
& f12("2","1","1","2") = "1"
& f12("2","1","2","1") = "1"
& f12("2","1","2","2") = "1"
& f12("2","2","1","1") = "1"
& f12("2","2","1","2") = "1"
& f12("2","2","2","1") = "1"
& f12("2","2","2","2") = "1" ) ).
fof(f13,fi_functors,
( f13("1","1","1","1") = "1"
& f13("1","1","1","2") = "1"
& f13("1","1","2","1") = "1"
& f13("1","1","2","2") = "1"
& f13("1","2","1","1") = "1"
& f13("1","2","1","2") = "1"
& f13("1","2","2","1") = "1"
& f13("1","2","2","2") = "1"
& f13("2","1","1","1") = "1"
& f13("2","1","1","2") = "1"
& f13("2","1","2","1") = "1"
& f13("2","1","2","2") = "1"
& f13("2","2","1","1") = "1"
& f13("2","2","1","2") = "1"
& f13("2","2","2","1") = "1"
& f13("2","2","2","2") = "1" ) ).
fof(f14,fi_functors,
( f14("1","1","1","1") = "1"
& f14("1","1","1","2") = "1"
& f14("1","1","2","1") = "1"
& f14("1","1","2","2") = "1"
& f14("1","2","1","1") = "1"
& f14("1","2","1","2") = "1"
& f14("1","2","2","1") = "1"
& f14("1","2","2","2") = "1"
& f14("2","1","1","1") = "1"
& f14("2","1","1","2") = "1"
& f14("2","1","2","1") = "1"
& f14("2","1","2","2") = "1"
& f14("2","2","1","1") = "1"
& f14("2","2","1","2") = "1"
& f14("2","2","2","1") = "1"
& f14("2","2","2","2") = "1" ) ).
fof(f15,fi_functors,
( f15("1","1","1","1","1") = "1"
& f15("1","1","1","1","2") = "1"
& f15("1","1","1","2","1") = "1"
& f15("1","1","1","2","2") = "1"
& f15("1","1","2","1","1") = "1"
& f15("1","1","2","1","2") = "1"
& f15("1","1","2","2","1") = "1"
& f15("1","1","2","2","2") = "1"
& f15("1","2","1","1","1") = "1"
& f15("1","2","1","1","2") = "1"
& f15("1","2","1","2","1") = "1"
& f15("1","2","1","2","2") = "1"
& f15("1","2","2","1","1") = "1"
& f15("1","2","2","1","2") = "1"
& f15("1","2","2","2","1") = "1"
& f15("1","2","2","2","2") = "1"
& f15("2","1","1","1","1") = "1"
& f15("2","1","1","1","2") = "1"
& f15("2","1","1","2","1") = "1"
& f15("2","1","1","2","2") = "1"
& f15("2","1","2","1","1") = "1"
& f15("2","1","2","1","2") = "1"
& f15("2","1","2","2","1") = "1"
& f15("2","1","2","2","2") = "1"
& f15("2","2","1","1","1") = "1"
& f15("2","2","1","1","2") = "1"
& f15("2","2","1","2","1") = "1"
& f15("2","2","1","2","2") = "1"
& f15("2","2","2","1","1") = "1"
& f15("2","2","2","1","2") = "1"
& f15("2","2","2","2","1") = "1"
& f15("2","2","2","2","2") = "1" ) ).
fof(f16,fi_functors,
( f16("1","1","1","1") = "1"
& f16("1","1","1","2") = "1"
& f16("1","1","2","1") = "1"
& f16("1","1","2","2") = "1"
& f16("1","2","1","1") = "1"
& f16("1","2","1","2") = "1"
& f16("1","2","2","1") = "1"
& f16("1","2","2","2") = "1"
& f16("2","1","1","1") = "1"
& f16("2","1","1","2") = "2"
& f16("2","1","2","1") = "1"
& f16("2","1","2","2") = "1"
& f16("2","2","1","1") = "1"
& f16("2","2","1","2") = "1"
& f16("2","2","2","1") = "1"
& f16("2","2","2","2") = "2" ) ).
fof(f17,fi_functors,
( f17("1","1","1","1") = "1"
& f17("1","1","1","2") = "1"
& f17("1","1","2","1") = "1"
& f17("1","1","2","2") = "1"
& f17("1","2","1","1") = "1"
& f17("1","2","1","2") = "1"
& f17("1","2","2","1") = "1"
& f17("1","2","2","2") = "1"
& f17("2","1","1","1") = "1"
& f17("2","1","1","2") = "1"
& f17("2","1","2","1") = "1"
& f17("2","1","2","2") = "1"
& f17("2","2","1","1") = "1"
& f17("2","2","1","2") = "1"
& f17("2","2","2","1") = "1"
& f17("2","2","2","2") = "1" ) ).
fof(f18,fi_functors,
( f18("1","1","1","1") = "1"
& f18("1","1","1","2") = "1"
& f18("1","1","2","1") = "1"
& f18("1","1","2","2") = "1"
& f18("1","2","1","1") = "1"
& f18("1","2","1","2") = "1"
& f18("1","2","2","1") = "1"
& f18("1","2","2","2") = "1"
& f18("2","1","1","1") = "1"
& f18("2","1","1","2") = "1"
& f18("2","1","2","1") = "1"
& f18("2","1","2","2") = "1"
& f18("2","2","1","1") = "1"
& f18("2","2","1","2") = "1"
& f18("2","2","2","1") = "1"
& f18("2","2","2","2") = "1" ) ).
fof(f19,fi_functors,
( f19("1","1") = "1"
& f19("1","2") = "1"
& f19("2","1") = "1"
& f19("2","2") = "1" ) ).
fof(f2,fi_functors,
( f2("1","1") = "1"
& f2("1","2") = "1"
& f2("2","1") = "1"
& f2("2","2") = "1" ) ).
fof(f20,fi_functors,
( f20("1","1") = "1"
& f20("1","2") = "1"
& f20("2","1") = "1"
& f20("2","2") = "1" ) ).
fof(f21,fi_functors,
( f21("1","1") = "2"
& f21("1","2") = "2"
& f21("2","1") = "2"
& f21("2","2") = "2" ) ).
fof(f22,fi_functors,
( f22("1","1") = "1"
& f22("1","2") = "2"
& f22("2","1") = "2"
& f22("2","2") = "2" ) ).
fof(f23,fi_functors,
( f23("1","1","1") = "1"
& f23("1","1","2") = "1"
& f23("1","2","1") = "1"
& f23("1","2","2") = "1"
& f23("2","1","1") = "1"
& f23("2","1","2") = "1"
& f23("2","2","1") = "1"
& f23("2","2","2") = "1" ) ).
fof(f24,fi_functors,
( f24("1","1") = "1"
& f24("1","2") = "1"
& f24("2","1") = "1"
& f24("2","2") = "1" ) ).
fof(f3,fi_functors,
( f3("1","1") = "1"
& f3("1","2") = "1"
& f3("2","1") = "1"
& f3("2","2") = "1" ) ).
fof(f4,fi_functors,
( f4("1","1") = "1"
& f4("1","2") = "1"
& f4("2","1") = "1"
& f4("2","2") = "1" ) ).
fof(f5,fi_functors,
( f5("1","1") = "1"
& f5("1","2") = "1"
& f5("2","1") = "1"
& f5("2","2") = "1" ) ).
fof(f6,fi_functors,
( f6("1","1","1","1","1") = "1"
& f6("1","1","1","1","2") = "1"
& f6("1","1","1","2","1") = "1"
& f6("1","1","1","2","2") = "1"
& f6("1","1","2","1","1") = "1"
& f6("1","1","2","1","2") = "1"
& f6("1","1","2","2","1") = "1"
& f6("1","1","2","2","2") = "2"
& f6("1","2","1","1","1") = "1"
& f6("1","2","1","1","2") = "1"
& f6("1","2","1","2","1") = "1"
& f6("1","2","1","2","2") = "1"
& f6("1","2","2","1","1") = "1"
& f6("1","2","2","1","2") = "1"
& f6("1","2","2","2","1") = "1"
& f6("1","2","2","2","2") = "2"
& f6("2","1","1","1","1") = "1"
& f6("2","1","1","1","2") = "1"
& f6("2","1","1","2","1") = "1"
& f6("2","1","1","2","2") = "1"
& f6("2","1","2","1","1") = "1"
& f6("2","1","2","1","2") = "1"
& f6("2","1","2","2","1") = "1"
& f6("2","1","2","2","2") = "2"
& f6("2","2","1","1","1") = "1"
& f6("2","2","1","1","2") = "1"
& f6("2","2","1","2","1") = "1"
& f6("2","2","1","2","2") = "1"
& f6("2","2","2","1","1") = "1"
& f6("2","2","2","1","2") = "1"
& f6("2","2","2","2","1") = "1"
& f6("2","2","2","2","2") = "2" ) ).
fof(f7,fi_functors,
( f7("1","1") = "2"
& f7("1","2") = "1"
& f7("2","1") = "1"
& f7("2","2") = "1" ) ).
fof(f8,fi_functors,
( f8("1","1") = "2"
& f8("1","2") = "1"
& f8("2","1") = "1"
& f8("2","2") = "1" ) ).
fof(f9,fi_functors,
( f9("1","1") = "1"
& f9("1","2") = "1"
& f9("2","1") = "1"
& f9("2","2") = "1" ) ).
fof(finer,fi_predicates,
( ( finer("1","1","1")
<=> $true )
& ( finer("1","1","2")
<=> $true )
& ( finer("1","2","1")
<=> $true )
& ( finer("1","2","2")
<=> $true )
& ( finer("2","1","1")
<=> $false )
& ( finer("2","1","2")
<=> $false )
& ( finer("2","2","1")
<=> $false )
& ( finer("2","2","2")
<=> $false ) ) ).
fof(finite,fi_predicates,
( ( finite("1")
<=> $false )
& ( finite("2")
<=> $false ) ) ).
fof(hausdorff,fi_predicates,
( ( hausdorff("1","1")
<=> $true )
& ( hausdorff("1","2")
<=> $true )
& ( hausdorff("2","1")
<=> $true )
& ( hausdorff("2","2")
<=> $true ) ) ).
fof(interior,fi_functors,
( interior("1","1","1") = "1"
& interior("1","1","2") = "1"
& interior("1","2","1") = "1"
& interior("1","2","2") = "1"
& interior("2","1","1") = "1"
& interior("2","1","2") = "1"
& interior("2","2","1") = "1"
& interior("2","2","2") = "1" ) ).
fof(intersection_of_members,fi_functors,
( intersection_of_members("1") = "1"
& intersection_of_members("2") = "1" ) ).
fof(intersection_of_sets,fi_functors,
( intersection_of_sets("1","1") = "1"
& intersection_of_sets("1","2") = "1"
& intersection_of_sets("2","1") = "2"
& intersection_of_sets("2","2") = "1" ) ).
fof(limit_point,fi_predicates,
( ( limit_point("1","1","1","1")
<=> $false )
& ( limit_point("1","1","1","2")
<=> $false )
& ( limit_point("1","1","2","1")
<=> $false )
& ( limit_point("1","1","2","2")
<=> $false )
& ( limit_point("1","2","1","1")
<=> $false )
& ( limit_point("1","2","1","2")
<=> $false )
& ( limit_point("1","2","2","1")
<=> $false )
& ( limit_point("1","2","2","2")
<=> $false )
& ( limit_point("2","1","1","1")
<=> $true )
& ( limit_point("2","1","1","2")
<=> $true )
& ( limit_point("2","1","2","1")
<=> $true )
& ( limit_point("2","1","2","2")
<=> $true )
& ( limit_point("2","2","1","1")
<=> $true )
& ( limit_point("2","2","1","2")
<=> $true )
& ( limit_point("2","2","2","1")
<=> $true )
& ( limit_point("2","2","2","2")
<=> $true ) ) ).
fof(neighborhood,fi_predicates,
( ( neighborhood("1","1","1","1")
<=> $true )
& ( neighborhood("1","1","1","2")
<=> $true )
& ( neighborhood("1","1","2","1")
<=> $true )
& ( neighborhood("1","1","2","2")
<=> $true )
& ( neighborhood("1","2","1","1")
<=> $true )
& ( neighborhood("1","2","1","2")
<=> $true )
& ( neighborhood("1","2","2","1")
<=> $true )
& ( neighborhood("1","2","2","2")
<=> $true )
& ( neighborhood("2","1","1","1")
<=> $true )
& ( neighborhood("2","1","1","2")
<=> $true )
& ( neighborhood("2","1","2","1")
<=> $true )
& ( neighborhood("2","1","2","2")
<=> $true )
& ( neighborhood("2","2","1","1")
<=> $true )
& ( neighborhood("2","2","1","2")
<=> $true )
& ( neighborhood("2","2","2","1")
<=> $true )
& ( neighborhood("2","2","2","2")
<=> $true ) ) ).
fof(open,fi_predicates,
( ( open("1","1","1")
<=> $true )
& ( open("1","1","2")
<=> $true )
& ( open("1","2","1")
<=> $true )
& ( open("1","2","2")
<=> $true )
& ( open("2","1","1")
<=> $true )
& ( open("2","1","2")
<=> $true )
& ( open("2","2","1")
<=> $true )
& ( open("2","2","2")
<=> $true ) ) ).
fof(open_covering,fi_predicates,
( ( open_covering("1","1","1")
<=> $true )
& ( open_covering("1","1","2")
<=> $false )
& ( open_covering("1","2","1")
<=> $true )
& ( open_covering("1","2","2")
<=> $false )
& ( open_covering("2","1","1")
<=> $true )
& ( open_covering("2","1","2")
<=> $false )
& ( open_covering("2","2","1")
<=> $true )
& ( open_covering("2","2","2")
<=> $false ) ) ).
fof(relative_complement_sets,fi_functors,
( relative_complement_sets("1","1") = "2"
& relative_complement_sets("1","2") = "1"
& relative_complement_sets("2","1") = "2"
& relative_complement_sets("2","2") = "1" ) ).
fof(separation,fi_predicates,
( ( separation("1","1","1","1")
<=> $false )
& ( separation("1","1","1","2")
<=> $false )
& ( separation("1","1","2","1")
<=> $false )
& ( separation("1","1","2","2")
<=> $false )
& ( separation("1","2","1","1")
<=> $false )
& ( separation("1","2","1","2")
<=> $false )
& ( separation("1","2","2","1")
<=> $false )
& ( separation("1","2","2","2")
<=> $false )
& ( separation("2","1","1","1")
<=> $false )
& ( separation("2","1","1","2")
<=> $false )
& ( separation("2","1","2","1")
<=> $false )
& ( separation("2","1","2","2")
<=> $false )
& ( separation("2","2","1","1")
<=> $false )
& ( separation("2","2","1","2")
<=> $false )
& ( separation("2","2","2","1")
<=> $false )
& ( separation("2","2","2","2")
<=> $false ) ) ).
fof(subset_collections,fi_predicates,
( ( subset_collections("1","1")
<=> $true )
& ( subset_collections("1","2")
<=> $false )
& ( subset_collections("2","1")
<=> $true )
& ( subset_collections("2","2")
<=> $false ) ) ).
fof(subset_sets,fi_predicates,
( ( subset_sets("1","1")
<=> $true )
& ( subset_sets("1","2")
<=> $true )
& ( subset_sets("2","1")
<=> $true )
& ( subset_sets("2","2")
<=> $true ) ) ).
fof(subspace_topology,fi_functors,
( subspace_topology("1","1","1") = "2"
& subspace_topology("1","1","2") = "2"
& subspace_topology("1","2","1") = "1"
& subspace_topology("1","2","2") = "1"
& subspace_topology("2","1","1") = "2"
& subspace_topology("2","1","2") = "1"
& subspace_topology("2","2","1") = "2"
& subspace_topology("2","2","2") = "1" ) ).
fof(top_of_basis,fi_functors,
( top_of_basis("1") = "1"
& top_of_basis("2") = "1" ) ).
fof(topological_space,fi_predicates,
( ( topological_space("1","1")
<=> $true )
& ( topological_space("1","2")
<=> $true )
& ( topological_space("2","1")
<=> $true )
& ( topological_space("2","2")
<=> $true ) ) ).
fof(union_of_members,fi_functors,
( union_of_members("1") = "2"
& union_of_members("2") = "2" ) ).
fof(union_of_sets,fi_functors,
( union_of_sets("1","1") = "1"
& union_of_sets("1","2") = "1"
& union_of_sets("2","1") = "1"
& union_of_sets("2","2") = "1" ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : TOP010-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : paradox --no-progress --time %d --tstp --model %s
% 0.13/0.34 % Computer : n022.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 : 600
% 0.13/0.34 % DateTime : Sun May 29 05:55:23 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 Paradox, version 4.0, 2010-06-29.
% 0.13/0.34 +++ PROBLEM: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 Reading '/export/starexec/sandbox2/benchmark/theBenchmark.p' ... OK
% 0.13/0.35 Reading 'Axioms/TOP001-0.ax' ... ('/export/starexec/sandbox2/benchmark/Axioms/TOP001-0.ax') OK
% 0.13/0.38 +++ SOLVING: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 +++ BEGIN MODEL
% 0.20/0.46 SZS output start FiniteModel for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.20/0.46 +++ END MODEL
% 0.20/0.46 +++ RESULT: Satisfiable
% 0.20/0.46 SZS status Satisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------