TSTP Solution File: COL045-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : COL045-1 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n017.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 04:44:51 EDT 2024
% Result : Unsatisfiable 0.55s 0.79s
% Output : Refutation 0.55s
% 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 : 4 ( 3 avg)
% Maximal term depth : 5 ( 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 : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f419,plain,
$false,
inference(equality_resolution,[],[f387]) ).
fof(f387,plain,
! [X0] : apply(X0,apply(apply(b,combinator),X0)) != apply(m,apply(apply(b,combinator),X0)),
inference(superposition,[],[f7,f9]) ).
fof(f9,plain,
! [X0,X1] : apply(m,apply(apply(b,X0),X1)) = apply(X0,apply(X1,apply(apply(b,X0),X1))),
inference(superposition,[],[f2,f3]) ).
fof(f3,axiom,
! [X0] : apply(m,X0) = apply(X0,X0),
file('/export/starexec/sandbox2/tmp/tmp.aXpjrB20al/Vampire---4.8_11770',m_definition) ).
fof(f2,axiom,
! [X2,X0,X1] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
file('/export/starexec/sandbox2/tmp/tmp.aXpjrB20al/Vampire---4.8_11770',b_definition) ).
fof(f7,plain,
! [X0] : apply(combinator,X0) != X0,
inference(superposition,[],[f6,f5]) ).
fof(f5,plain,
! [X1] : apply(combinator,X1) = sF0(X1),
introduced(function_definition,[new_symbols(definition,[sF0])]) ).
fof(f6,plain,
! [X1] : sF0(X1) != X1,
inference(definition_folding,[],[f4,f5]) ).
fof(f4,axiom,
! [X1] : apply(combinator,X1) != X1,
file('/export/starexec/sandbox2/tmp/tmp.aXpjrB20al/Vampire---4.8_11770',prove_fixed_point) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : COL045-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35 % Computer : n017.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 18:32:23 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.15/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.aXpjrB20al/Vampire---4.8_11770
% 0.55/0.75 % (12125)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)
% 0.55/0.75 % (12125)Refutation not found, incomplete strategy% (12125)------------------------------
% 0.55/0.75 % (12125)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (12125)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (12125)Memory used [KB]: 947
% 0.55/0.75 % (12125)Time elapsed: 0.002 s
% 0.55/0.75 % (12125)Instructions burned: 2 (million)
% 0.55/0.76 % (12125)------------------------------
% 0.55/0.76 % (12125)------------------------------
% 0.55/0.76 % (12118)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)
% 0.55/0.76 % (12120)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.76 % (12121)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)
% 0.55/0.76 % (12123)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)
% 0.55/0.76 % (12119)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)
% 0.55/0.76 % (12122)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)
% 0.55/0.76 % (12124)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)
% 0.55/0.76 % (12121)Refutation not found, incomplete strategy% (12121)------------------------------
% 0.55/0.76 % (12121)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76 % (12121)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76 % (12123)Refutation not found, incomplete strategy% (12123)------------------------------
% 0.55/0.76 % (12123)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76 % (12123)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76
% 0.55/0.76 % (12123)Memory used [KB]: 946
% 0.55/0.76 % (12123)Time elapsed: 0.003 s
% 0.55/0.76 % (12123)Instructions burned: 2 (million)
% 0.55/0.76
% 0.55/0.76 % (12121)Memory used [KB]: 946
% 0.55/0.76 % (12121)Time elapsed: 0.002 s
% 0.55/0.76 % (12121)Instructions burned: 2 (million)
% 0.55/0.76 % (12118)Refutation not found, incomplete strategy% (12118)------------------------------
% 0.55/0.76 % (12118)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76 % (12118)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76
% 0.55/0.76 % (12118)Memory used [KB]: 962
% 0.55/0.76 % (12118)Time elapsed: 0.002 s
% 0.55/0.76 % (12122)Refutation not found, incomplete strategy% (12122)------------------------------
% 0.55/0.76 % (12122)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76 % (12122)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76
% 0.55/0.76 % (12122)Memory used [KB]: 963
% 0.55/0.76 % (12122)Time elapsed: 0.002 s
% 0.55/0.76 % (12124)Refutation not found, incomplete strategy% (12124)------------------------------
% 0.55/0.76 % (12124)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76 % (12122)Instructions burned: 2 (million)
% 0.55/0.76 % (12124)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76
% 0.55/0.76 % (12124)Memory used [KB]: 946
% 0.55/0.76 % (12124)Time elapsed: 0.002 s
% 0.55/0.76 % (12124)Instructions burned: 2 (million)
% 0.55/0.76 % (12118)Instructions burned: 2 (million)
% 0.55/0.76 % (12123)------------------------------
% 0.55/0.76 % (12123)------------------------------
% 0.55/0.76 % (12121)------------------------------
% 0.55/0.76 % (12121)------------------------------
% 0.55/0.76 % (12124)------------------------------
% 0.55/0.76 % (12124)------------------------------
% 0.55/0.76 % (12122)------------------------------
% 0.55/0.76 % (12122)------------------------------
% 0.55/0.76 % (12118)------------------------------
% 0.55/0.76 % (12118)------------------------------
% 0.55/0.76 % (12126)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)
% 0.55/0.76 % (12127)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)
% 0.55/0.76 % (12128)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)
% 0.55/0.76 % (12129)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)
% 0.55/0.76 % (12130)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)
% 0.55/0.76 % (12131)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)
% 0.55/0.76 % (12128)Refutation not found, incomplete strategy% (12128)------------------------------
% 0.55/0.76 % (12128)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76 % (12128)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76 % (12127)Refutation not found, incomplete strategy% (12127)------------------------------
% 0.55/0.76 % (12127)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76 % (12127)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76
% 0.55/0.76 % (12127)Memory used [KB]: 948
% 0.55/0.76 % (12127)Time elapsed: 0.002 s
% 0.55/0.76 % (12127)Instructions burned: 2 (million)
% 0.55/0.76
% 0.55/0.76 % (12128)Memory used [KB]: 946
% 0.55/0.76 % (12128)Time elapsed: 0.003 s
% 0.55/0.76 % (12128)Instructions burned: 2 (million)
% 0.55/0.76 % (12127)------------------------------
% 0.55/0.76 % (12127)------------------------------
% 0.55/0.76 % (12128)------------------------------
% 0.55/0.76 % (12128)------------------------------
% 0.55/0.76 % (12130)Refutation not found, incomplete strategy% (12130)------------------------------
% 0.55/0.76 % (12130)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76 % (12130)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76
% 0.55/0.76 % (12130)Memory used [KB]: 949
% 0.55/0.76 % (12130)Time elapsed: 0.003 s
% 0.55/0.76 % (12130)Instructions burned: 2 (million)
% 0.55/0.76 % (12131)Refutation not found, incomplete strategy% (12131)------------------------------
% 0.55/0.76 % (12131)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76 % (12131)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76
% 0.55/0.76 % (12131)Memory used [KB]: 963
% 0.55/0.76 % (12131)Time elapsed: 0.002 s
% 0.55/0.76 % (12131)Instructions burned: 2 (million)
% 0.55/0.76 % (12130)------------------------------
% 0.55/0.76 % (12130)------------------------------
% 0.55/0.76 % (12131)------------------------------
% 0.55/0.76 % (12131)------------------------------
% 0.55/0.77 % (12134)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)
% 0.55/0.77 % (12133)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)
% 0.55/0.77 % (12135)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)
% 0.55/0.77 % (12134)Refutation not found, incomplete strategy% (12134)------------------------------
% 0.55/0.77 % (12134)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.77 % (12134)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.77
% 0.55/0.77 % (12134)Memory used [KB]: 948
% 0.55/0.77 % (12136)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)
% 0.55/0.77 % (12134)Time elapsed: 0.003 s
% 0.55/0.77 % (12134)Instructions burned: 2 (million)
% 0.55/0.77 % (12134)------------------------------
% 0.55/0.77 % (12134)------------------------------
% 0.55/0.77 % (12135)Refutation not found, incomplete strategy% (12135)------------------------------
% 0.55/0.77 % (12135)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.77 % (12135)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.77
% 0.55/0.77 % (12135)Memory used [KB]: 964
% 0.55/0.77 % (12135)Time elapsed: 0.003 s
% 0.55/0.77 % (12135)Instructions burned: 2 (million)
% 0.55/0.77 % (12135)------------------------------
% 0.55/0.77 % (12135)------------------------------
% 0.55/0.77 % (12140)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)
% 0.55/0.77 % (12140)Refutation not found, incomplete strategy% (12140)------------------------------
% 0.55/0.77 % (12140)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.77 % (12140)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.77
% 0.55/0.77 % (12140)Memory used [KB]: 948
% 0.55/0.77 % (12140)Time elapsed: 0.003 s
% 0.55/0.77 % (12140)Instructions burned: 2 (million)
% 0.55/0.77 % (12140)------------------------------
% 0.55/0.77 % (12140)------------------------------
% 0.55/0.77 % (12141)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)
% 0.55/0.78 % (12143)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)
% 0.55/0.78 % (12126)Instruction limit reached!
% 0.55/0.78 % (12126)------------------------------
% 0.55/0.78 % (12126)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.78 % (12126)Termination reason: Unknown
% 0.55/0.78 % (12126)Termination phase: Saturation
% 0.55/0.78
% 0.55/0.78 % (12126)Memory used [KB]: 1536
% 0.55/0.78 % (12126)Time elapsed: 0.020 s
% 0.55/0.78 % (12126)Instructions burned: 55 (million)
% 0.55/0.78 % (12126)------------------------------
% 0.55/0.78 % (12126)------------------------------
% 0.55/0.78 % (12145)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 (2995ds/55Mi)
% 0.55/0.78 % (12145)Refutation not found, incomplete strategy% (12145)------------------------------
% 0.55/0.78 % (12145)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.78 % (12145)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.78
% 0.55/0.78 % (12145)Memory used [KB]: 963
% 0.55/0.78 % (12145)Time elapsed: 0.001 s
% 0.55/0.78 % (12145)Instructions burned: 2 (million)
% 0.55/0.78 % (12145)------------------------------
% 0.55/0.78 % (12145)------------------------------
% 0.55/0.78 % (12146)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)
% 0.55/0.78 % (12146)Refutation not found, incomplete strategy% (12146)------------------------------
% 0.55/0.78 % (12146)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.78 % (12146)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.78
% 0.55/0.78 % (12146)Memory used [KB]: 950
% 0.55/0.78 % (12146)Time elapsed: 0.001 s
% 0.55/0.78 % (12146)Instructions burned: 2 (million)
% 0.55/0.78 % (12146)------------------------------
% 0.55/0.78 % (12146)------------------------------
% 0.55/0.78 % (12119)Instruction limit reached!
% 0.55/0.78 % (12119)------------------------------
% 0.55/0.78 % (12119)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.78 % (12119)Termination reason: Unknown
% 0.55/0.78 % (12119)Termination phase: Saturation
% 0.55/0.78
% 0.55/0.78 % (12119)Memory used [KB]: 1350
% 0.55/0.78 % (12119)Time elapsed: 0.030 s
% 0.55/0.78 % (12119)Instructions burned: 51 (million)
% 0.55/0.78 % (12119)------------------------------
% 0.55/0.78 % (12119)------------------------------
% 0.55/0.79 % (12133)First to succeed.
% 0.55/0.79 % (12133)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-11952"
% 0.55/0.79 % (12147)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on Vampire---4 for (2995ds/46Mi)
% 0.55/0.79 % (12133)Refutation found. Thanks to Tanya!
% 0.55/0.79 % SZS status Unsatisfiable for Vampire---4
% 0.55/0.79 % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.79 % (12133)------------------------------
% 0.55/0.79 % (12133)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.79 % (12133)Termination reason: Refutation
% 0.55/0.79
% 0.55/0.79 % (12133)Memory used [KB]: 1283
% 0.55/0.79 % (12133)Time elapsed: 0.020 s
% 0.55/0.79 % (12133)Instructions burned: 36 (million)
% 0.55/0.79 % (11952)Success in time 0.41 s
% 0.73/0.79 % Vampire---4.8 exiting
%------------------------------------------------------------------------------