TSTP Solution File: COL041-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : COL041-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n002.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 : Sun May  5 04:44:43 EDT 2024

% Result   : Unsatisfiable 0.56s 0.77s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    9 (   9 unt;   0 def)
%            Number of atoms       :    9 (   8 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    4 (   4   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   16 (  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f432,plain,
    $false,
    inference(equality_resolution,[],[f411]) ).

fof(f411,plain,
    ! [X0] : apply(X0,apply(apply(b,f(apply(apply(b,X0),apply(apply(c,b),X0)))),X0)) != apply(m,apply(apply(b,f(apply(apply(b,X0),apply(apply(c,b),X0)))),X0)),
    inference(superposition,[],[f16,f6]) ).

fof(f6,plain,
    ! [X0,X1] : apply(m,apply(apply(b,X0),X1)) = apply(X0,apply(X1,apply(apply(b,X0),X1))),
    inference(superposition,[],[f1,f2]) ).

fof(f2,axiom,
    ! [X0] : apply(m,X0) = apply(X0,X0),
    file('/export/starexec/sandbox/tmp/tmp.PcYobeDsd4/Vampire---4.8_17347',m_definition) ).

fof(f1,axiom,
    ! [X2,X0,X1] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
    file('/export/starexec/sandbox/tmp/tmp.PcYobeDsd4/Vampire---4.8_17347',b_definition) ).

fof(f16,plain,
    ! [X2,X0,X1] : apply(X2,apply(apply(X0,f(apply(apply(b,X2),apply(apply(c,X0),X1)))),X1)) != apply(f(apply(apply(b,X2),apply(apply(c,X0),X1))),apply(X2,apply(apply(X0,f(apply(apply(b,X2),apply(apply(c,X0),X1)))),X1))),
    inference(superposition,[],[f7,f3]) ).

fof(f3,axiom,
    ! [X2,X0,X1] : apply(apply(apply(c,X0),X1),X2) = apply(apply(X0,X2),X1),
    file('/export/starexec/sandbox/tmp/tmp.PcYobeDsd4/Vampire---4.8_17347',c_definition) ).

fof(f7,plain,
    ! [X0,X1] : apply(X0,apply(X1,f(apply(apply(b,X0),X1)))) != apply(f(apply(apply(b,X0),X1)),apply(X0,apply(X1,f(apply(apply(b,X0),X1))))),
    inference(superposition,[],[f4,f1]) ).

fof(f4,axiom,
    ! [X1] : apply(X1,f(X1)) != apply(f(X1),apply(X1,f(X1))),
    file('/export/starexec/sandbox/tmp/tmp.PcYobeDsd4/Vampire---4.8_17347',prove_fixed_point) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : COL041-1 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35  % Computer : n002.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   : Fri May  3 18:29:52 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.14/0.35  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.PcYobeDsd4/Vampire---4.8_17347
% 0.56/0.74  % (17456)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.56/0.74  % (17460)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.56/0.74  % (17458)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.74  % (17461)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.56/0.74  % (17459)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.56/0.74  % (17462)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.56/0.74  % (17457)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.56/0.74  % (17463)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.56/0.74  % (17456)Refutation not found, incomplete strategy% (17456)------------------------------
% 0.56/0.74  % (17456)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (17461)Refutation not found, incomplete strategy% (17461)------------------------------
% 0.56/0.74  % (17461)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (17461)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (17461)Memory used [KB]: 946
% 0.56/0.74  % (17461)Time elapsed: 0.002 s
% 0.56/0.74  % (17459)Refutation not found, incomplete strategy% (17459)------------------------------
% 0.56/0.74  % (17459)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (17461)Instructions burned: 2 (million)
% 0.56/0.74  % (17459)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (17459)Memory used [KB]: 946
% 0.56/0.74  % (17459)Time elapsed: 0.002 s
% 0.56/0.74  % (17459)Instructions burned: 2 (million)
% 0.56/0.74  % (17460)Refutation not found, incomplete strategy% (17460)------------------------------
% 0.56/0.74  % (17460)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (17456)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (17456)Memory used [KB]: 962
% 0.56/0.74  % (17456)Time elapsed: 0.002 s
% 0.56/0.74  % (17456)Instructions burned: 2 (million)
% 0.56/0.74  % (17463)Refutation not found, incomplete strategy% (17463)------------------------------
% 0.56/0.74  % (17463)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (17463)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (17463)Memory used [KB]: 947
% 0.56/0.74  % (17463)Time elapsed: 0.002 s
% 0.56/0.74  % (17463)Instructions burned: 2 (million)
% 0.56/0.74  % (17460)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (17462)Refutation not found, incomplete strategy% (17462)------------------------------
% 0.56/0.74  % (17462)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (17462)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (17462)Memory used [KB]: 947
% 0.56/0.74  % (17462)Time elapsed: 0.002 s
% 0.56/0.74  % (17462)Instructions burned: 2 (million)
% 0.56/0.74  % (17460)Memory used [KB]: 962
% 0.56/0.74  % (17460)Time elapsed: 0.002 s
% 0.56/0.74  % (17460)Instructions burned: 2 (million)
% 0.56/0.74  % (17456)------------------------------
% 0.56/0.74  % (17456)------------------------------
% 0.56/0.74  % (17461)------------------------------
% 0.56/0.74  % (17461)------------------------------
% 0.56/0.74  % (17459)------------------------------
% 0.56/0.74  % (17459)------------------------------
% 0.56/0.74  % (17463)------------------------------
% 0.56/0.74  % (17463)------------------------------
% 0.56/0.74  % (17462)------------------------------
% 0.56/0.74  % (17462)------------------------------
% 0.56/0.74  % (17460)------------------------------
% 0.56/0.74  % (17460)------------------------------
% 0.56/0.74  % (17464)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.56/0.74  % (17466)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.56/0.74  % (17468)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.56/0.74  % (17467)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.56/0.74  % (17465)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.56/0.74  % (17469)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.56/0.74  % (17466)Refutation not found, incomplete strategy% (17466)------------------------------
% 0.56/0.74  % (17466)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (17466)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (17466)Memory used [KB]: 946
% 0.56/0.74  % (17466)Time elapsed: 0.002 s
% 0.56/0.74  % (17466)Instructions burned: 2 (million)
% 0.56/0.74  % (17465)Refutation not found, incomplete strategy% (17465)------------------------------
% 0.56/0.74  % (17465)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (17465)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (17465)Memory used [KB]: 948
% 0.56/0.74  % (17465)Time elapsed: 0.002 s
% 0.56/0.74  % (17465)Instructions burned: 2 (million)
% 0.56/0.74  % (17469)Refutation not found, incomplete strategy% (17469)------------------------------
% 0.56/0.74  % (17469)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (17469)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (17469)Memory used [KB]: 963
% 0.56/0.74  % (17466)------------------------------
% 0.56/0.74  % (17466)------------------------------
% 0.56/0.74  % (17465)------------------------------
% 0.56/0.74  % (17465)------------------------------
% 0.56/0.74  % (17469)Time elapsed: 0.002 s
% 0.56/0.74  % (17469)Instructions burned: 2 (million)
% 0.56/0.74  % (17469)------------------------------
% 0.56/0.74  % (17469)------------------------------
% 0.56/0.74  % (17470)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2996ds/243Mi)
% 0.56/0.74  % (17472)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2996ds/143Mi)
% 0.56/0.75  % (17472)Refutation not found, incomplete strategy% (17472)------------------------------
% 0.56/0.75  % (17472)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (17472)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (17472)Memory used [KB]: 964
% 0.56/0.75  % (17472)Time elapsed: 0.002 s
% 0.56/0.75  % (17472)Instructions burned: 2 (million)
% 0.56/0.75  % (17472)------------------------------
% 0.56/0.75  % (17472)------------------------------
% 0.56/0.75  % (17471)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2996ds/117Mi)
% 0.56/0.75  % (17471)Refutation not found, incomplete strategy% (17471)------------------------------
% 0.56/0.75  % (17471)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (17471)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (17471)Memory used [KB]: 949
% 0.56/0.75  % (17471)Time elapsed: 0.002 s
% 0.56/0.75  % (17471)Instructions burned: 2 (million)
% 0.56/0.75  % (17471)------------------------------
% 0.56/0.75  % (17471)------------------------------
% 0.56/0.75  % (17473)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2996ds/93Mi)
% 0.56/0.75  % (17474)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2996ds/62Mi)
% 0.56/0.75  % (17474)Refutation not found, incomplete strategy% (17474)------------------------------
% 0.56/0.75  % (17474)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (17474)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (17474)Memory used [KB]: 948
% 0.56/0.75  % (17474)Time elapsed: 0.003 s
% 0.56/0.75  % (17474)Instructions burned: 2 (million)
% 0.56/0.76  % (17474)------------------------------
% 0.56/0.76  % (17474)------------------------------
% 0.56/0.76  % (17457)Instruction limit reached!
% 0.56/0.76  % (17457)------------------------------
% 0.56/0.76  % (17457)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76  % (17457)Termination reason: Unknown
% 0.56/0.76  % (17457)Termination phase: Saturation
% 0.56/0.76  
% 0.56/0.76  % (17457)Memory used [KB]: 1749
% 0.56/0.76  % (17457)Time elapsed: 0.025 s
% 0.56/0.76  % (17457)Instructions burned: 51 (million)
% 0.56/0.76  % (17457)------------------------------
% 0.56/0.76  % (17457)------------------------------
% 0.56/0.76  % (17464)Instruction limit reached!
% 0.56/0.76  % (17464)------------------------------
% 0.56/0.76  % (17464)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76  % (17464)Termination reason: Unknown
% 0.56/0.76  % (17464)Termination phase: Saturation
% 0.56/0.76  
% 0.56/0.76  % (17464)Memory used [KB]: 1862
% 0.56/0.76  % (17464)Time elapsed: 0.021 s
% 0.56/0.76  % (17464)Instructions burned: 57 (million)
% 0.56/0.76  % (17464)------------------------------
% 0.56/0.76  % (17464)------------------------------
% 0.56/0.76  % (17476)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2996ds/1919Mi)
% 0.56/0.76  % (17475)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2996ds/32Mi)
% 0.56/0.76  % (17467)Instruction limit reached!
% 0.56/0.76  % (17467)------------------------------
% 0.56/0.76  % (17467)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76  % (17467)Termination reason: Unknown
% 0.56/0.76  % (17467)Termination phase: Saturation
% 0.56/0.76  
% 0.56/0.76  % (17467)Memory used [KB]: 1974
% 0.56/0.76  % (17467)Time elapsed: 0.026 s
% 0.56/0.76  % (17467)Instructions burned: 53 (million)
% 0.56/0.76  % (17467)------------------------------
% 0.56/0.76  % (17467)------------------------------
% 0.56/0.77  % (17477)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2996ds/55Mi)
% 0.56/0.77  % (17477)Refutation not found, incomplete strategy% (17477)------------------------------
% 0.56/0.77  % (17477)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.77  % (17477)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.77  
% 0.56/0.77  % (17477)Memory used [KB]: 963
% 0.56/0.77  % (17477)Time elapsed: 0.002 s
% 0.56/0.77  % (17477)Instructions burned: 2 (million)
% 0.56/0.77  % (17477)------------------------------
% 0.56/0.77  % (17477)------------------------------
% 0.56/0.77  % (17478)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2995ds/53Mi)
% 0.56/0.77  % (17458)First to succeed.
% 0.56/0.77  % (17458)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-17455"
% 0.56/0.77  % (17458)Refutation found. Thanks to Tanya!
% 0.56/0.77  % SZS status Unsatisfiable for Vampire---4
% 0.56/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.77  % (17458)------------------------------
% 0.56/0.77  % (17458)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.77  % (17458)Termination reason: Refutation
% 0.56/0.77  
% 0.56/0.77  % (17458)Memory used [KB]: 1787
% 0.56/0.77  % (17458)Time elapsed: 0.036 s
% 0.56/0.77  % (17458)Instructions burned: 68 (million)
% 0.56/0.77  % (17455)Success in time 0.408 s
% 0.56/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------