TSTP Solution File: SET167-6 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET167-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n014.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 18:19:36 EDT 2022

% Result   : Unsatisfiable 0.21s 0.57s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   16 (  10 unt;   0 def)
%            Number of atoms       :   24 (   1 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   19 (  11   ~;   8   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   14 (  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f148,plain,
    $false,
    inference(subsumption_resolution,[],[f146,f113]) ).

fof(f113,axiom,
    member(x,y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_members_of_union2_1) ).

fof(f146,plain,
    ~ member(x,y),
    inference(resolution,[],[f142,f24]) ).

fof(f24,axiom,
    ! [X0,X4] :
      ( ~ member(X4,complement(X0))
      | ~ member(X4,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement1) ).

fof(f142,plain,
    member(x,complement(y)),
    inference(resolution,[],[f126,f21]) ).

fof(f21,axiom,
    ! [X0,X1,X4] :
      ( ~ member(X4,intersection(X0,X1))
      | member(X4,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).

fof(f126,plain,
    member(x,intersection(complement(y),complement(z))),
    inference(subsumption_resolution,[],[f125,f124]) ).

fof(f124,plain,
    member(x,universal_class),
    inference(resolution,[],[f119,f4]) ).

fof(f4,axiom,
    ! [X0] : subclass(X0,universal_class),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',class_elements_are_sets) ).

fof(f119,plain,
    ! [X0] :
      ( ~ subclass(y,X0)
      | member(x,X0) ),
    inference(resolution,[],[f113,f1]) ).

fof(f1,axiom,
    ! [X2,X0,X1] :
      ( ~ member(X2,X0)
      | member(X2,X1)
      | ~ subclass(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_members) ).

fof(f125,plain,
    ( member(x,intersection(complement(y),complement(z)))
    | ~ member(x,universal_class) ),
    inference(resolution,[],[f120,f25]) ).

fof(f25,axiom,
    ! [X0,X4] :
      ( member(X4,complement(X0))
      | member(X4,X0)
      | ~ member(X4,universal_class) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement2) ).

fof(f120,plain,
    ~ member(x,complement(intersection(complement(y),complement(z)))),
    inference(superposition,[],[f114,f26]) ).

fof(f26,axiom,
    ! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',union) ).

fof(f114,axiom,
    ~ member(x,union(y,z)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_members_of_union2_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SET167-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35  % Computer : n014.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 13:25:18 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.53  % (29462)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.53  % (29447)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.21/0.54  % (29457)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.21/0.54  % (29447)Refutation not found, incomplete strategy% (29447)------------------------------
% 0.21/0.54  % (29447)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54  % (29447)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54  % (29447)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.54  
% 0.21/0.54  % (29447)Memory used [KB]: 5884
% 0.21/0.54  % (29447)Time elapsed: 0.119 s
% 0.21/0.54  % (29447)Instructions burned: 2 (million)
% 0.21/0.54  % (29447)------------------------------
% 0.21/0.54  % (29447)------------------------------
% 0.21/0.54  % (29446)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.21/0.54  % (29446)Refutation not found, incomplete strategy% (29446)------------------------------
% 0.21/0.54  % (29446)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54  % (29446)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54  % (29446)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.54  
% 0.21/0.54  % (29446)Memory used [KB]: 5884
% 0.21/0.54  % (29446)Time elapsed: 0.125 s
% 0.21/0.54  % (29446)------------------------------
% 0.21/0.54  % (29446)------------------------------
% 0.21/0.54  % (29462)Instruction limit reached!
% 0.21/0.54  % (29462)------------------------------
% 0.21/0.54  % (29462)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54  % (29448)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.21/0.54  % (29466)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.54  % (29443)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.21/0.54  % (29454)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.21/0.54  % (29460)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.21/0.54  % (29445)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.54  % (29445)Instruction limit reached!
% 0.21/0.54  % (29445)------------------------------
% 0.21/0.54  % (29445)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54  % (29445)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54  % (29445)Termination reason: Unknown
% 0.21/0.54  % (29445)Termination phase: Property scanning
% 0.21/0.54  
% 0.21/0.54  % (29445)Memory used [KB]: 1407
% 0.21/0.54  % (29445)Time elapsed: 0.003 s
% 0.21/0.54  % (29445)Instructions burned: 5 (million)
% 0.21/0.54  % (29445)------------------------------
% 0.21/0.54  % (29445)------------------------------
% 0.21/0.55  % (29444)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.21/0.55  % (29462)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (29462)Termination reason: Unknown
% 0.21/0.55  % (29462)Termination phase: Saturation
% 0.21/0.55  
% 0.21/0.55  % (29462)Memory used [KB]: 1535
% 0.21/0.55  % (29462)Time elapsed: 0.008 s
% 0.21/0.55  % (29462)Instructions burned: 7 (million)
% 0.21/0.55  % (29462)------------------------------
% 0.21/0.55  % (29462)------------------------------
% 0.21/0.55  % (29461)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.21/0.55  % (29453)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.55  % (29472)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.55  % (29449)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.21/0.55  % (29458)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.55  % (29472)First to succeed.
% 0.21/0.55  % (29470)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.21/0.55  % (29465)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.21/0.55  % (29455)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.21/0.55  % (29468)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.21/0.55  % (29470)Refutation not found, incomplete strategy% (29470)------------------------------
% 0.21/0.55  % (29470)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55  % (29470)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (29470)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.55  
% 0.21/0.55  % (29470)Memory used [KB]: 1407
% 0.21/0.55  % (29470)Time elapsed: 0.128 s
% 0.21/0.55  % (29470)Instructions burned: 2 (million)
% 0.21/0.55  % (29470)------------------------------
% 0.21/0.55  % (29470)------------------------------
% 0.21/0.55  % (29455)Instruction limit reached!
% 0.21/0.55  % (29455)------------------------------
% 0.21/0.55  % (29455)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55  % (29455)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (29455)Termination reason: Unknown
% 0.21/0.55  % (29455)Termination phase: Saturation
% 0.21/0.55  
% 0.21/0.55  % (29455)Memory used [KB]: 6012
% 0.21/0.55  % (29455)Time elapsed: 0.003 s
% 0.21/0.55  % (29455)Instructions burned: 6 (million)
% 0.21/0.55  % (29455)------------------------------
% 0.21/0.55  % (29455)------------------------------
% 0.21/0.56  % (29452)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.56  % (29456)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.56  % (29451)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.56  % (29456)Instruction limit reached!
% 0.21/0.56  % (29456)------------------------------
% 0.21/0.56  % (29456)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56  % (29456)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56  % (29456)Termination reason: Unknown
% 0.21/0.56  % (29456)Termination phase: Property scanning
% 0.21/0.56  
% 0.21/0.56  % (29456)Memory used [KB]: 1407
% 0.21/0.56  % (29456)Time elapsed: 0.003 s
% 0.21/0.56  % (29456)Instructions burned: 4 (million)
% 0.21/0.56  % (29456)------------------------------
% 0.21/0.56  % (29456)------------------------------
% 0.21/0.56  % (29463)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.56  % (29450)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.56  % (29450)Refutation not found, incomplete strategy% (29450)------------------------------
% 0.21/0.56  % (29450)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56  % (29450)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56  % (29450)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.56  
% 0.21/0.56  % (29450)Memory used [KB]: 5884
% 0.21/0.56  % (29450)Time elapsed: 0.002 s
% 0.21/0.56  % (29450)Instructions burned: 2 (million)
% 0.21/0.56  % (29450)------------------------------
% 0.21/0.56  % (29450)------------------------------
% 0.21/0.56  % (29469)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.21/0.56  % (29463)Instruction limit reached!
% 0.21/0.56  % (29463)------------------------------
% 0.21/0.56  % (29463)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56  % (29463)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56  % (29463)Termination reason: Unknown
% 0.21/0.56  % (29463)Termination phase: Property scanning
% 0.21/0.56  
% 0.21/0.56  % (29463)Memory used [KB]: 1407
% 0.21/0.56  % (29463)Time elapsed: 0.003 s
% 0.21/0.56  % (29463)Instructions burned: 6 (million)
% 0.21/0.56  % (29463)------------------------------
% 0.21/0.56  % (29463)------------------------------
% 0.21/0.56  % (29471)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.21/0.56  % (29464)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.21/0.56  % (29464)Refutation not found, incomplete strategy% (29464)------------------------------
% 0.21/0.56  % (29464)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56  % (29464)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56  % (29464)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.56  
% 0.21/0.56  % (29464)Memory used [KB]: 5884
% 0.21/0.56  % (29464)Time elapsed: 0.150 s
% 0.21/0.56  % (29464)------------------------------
% 0.21/0.56  % (29464)------------------------------
% 0.21/0.56  % (29459)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.57  % (29459)Instruction limit reached!
% 0.21/0.57  % (29459)------------------------------
% 0.21/0.57  % (29459)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57  % (29460)Instruction limit reached!
% 0.21/0.57  % (29460)------------------------------
% 0.21/0.57  % (29460)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57  % (29459)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57  % (29460)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57  % (29459)Termination reason: Unknown
% 0.21/0.57  % (29460)Termination reason: Unknown
% 0.21/0.57  % (29459)Termination phase: Property scanning
% 0.21/0.57  
% 0.21/0.57  % (29460)Termination phase: Saturation
% 0.21/0.57  
% 0.21/0.57  % (29459)Memory used [KB]: 1407
% 0.21/0.57  % (29460)Memory used [KB]: 6140
% 0.21/0.57  % (29459)Time elapsed: 0.004 s
% 0.21/0.57  % (29460)Time elapsed: 0.006 s
% 0.21/0.57  % (29459)Instructions burned: 3 (million)
% 0.21/0.57  % (29460)Instructions burned: 8 (million)
% 0.21/0.57  % (29459)------------------------------
% 0.21/0.57  % (29459)------------------------------
% 0.21/0.57  % (29460)------------------------------
% 0.21/0.57  % (29460)------------------------------
% 0.21/0.57  % (29472)Refutation found. Thanks to Tanya!
% 0.21/0.57  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.57  % (29472)------------------------------
% 0.21/0.57  % (29472)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57  % (29472)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57  % (29472)Termination reason: Refutation
% 0.21/0.57  
% 0.21/0.57  % (29472)Memory used [KB]: 6012
% 0.21/0.57  % (29472)Time elapsed: 0.140 s
% 0.21/0.57  % (29472)Instructions burned: 4 (million)
% 0.21/0.57  % (29472)------------------------------
% 0.21/0.57  % (29472)------------------------------
% 0.21/0.57  % (29442)Success in time 0.206 s
%------------------------------------------------------------------------------