TSTP Solution File: SET143-6 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET143-6 : 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_sat --cores 0 -t %d %s
% Computer : n001.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 18:23:56 EDT 2022
% Result : Unsatisfiable 0.18s 0.54s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 7
% Syntax : Number of formulae : 41 ( 10 unt; 0 def)
% Number of atoms : 78 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 81 ( 44 ~; 37 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f341,plain,
$false,
inference(subsumption_resolution,[],[f340,f323]) ).
fof(f323,plain,
member(not_subclass_element(intersection(x,intersection(y,z)),intersection(intersection(x,y),z)),x),
inference(resolution,[],[f321,f21]) ).
fof(f21,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection1) ).
fof(f321,plain,
member(not_subclass_element(intersection(x,intersection(y,z)),intersection(intersection(x,y),z)),intersection(x,intersection(y,z))),
inference(subsumption_resolution,[],[f320,f238]) ).
fof(f238,plain,
( member(not_subclass_element(intersection(intersection(x,y),z),intersection(x,intersection(y,z))),z)
| member(not_subclass_element(intersection(x,intersection(y,z)),intersection(intersection(x,y),z)),intersection(x,intersection(y,z))) ),
inference(resolution,[],[f233,f22]) ).
fof(f22,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection2) ).
fof(f233,plain,
( member(not_subclass_element(intersection(intersection(x,y),z),intersection(x,intersection(y,z))),intersection(intersection(x,y),z))
| member(not_subclass_element(intersection(x,intersection(y,z)),intersection(intersection(x,y),z)),intersection(x,intersection(y,z))) ),
inference(resolution,[],[f229,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f229,plain,
( ~ subclass(intersection(x,intersection(y,z)),intersection(intersection(x,y),z))
| member(not_subclass_element(intersection(intersection(x,y),z),intersection(x,intersection(y,z))),intersection(intersection(x,y),z)) ),
inference(resolution,[],[f212,f2]) ).
fof(f212,plain,
( ~ subclass(intersection(intersection(x,y),z),intersection(x,intersection(y,z)))
| ~ subclass(intersection(x,intersection(y,z)),intersection(intersection(x,y),z)) ),
inference(extensionality_resolution,[],[f7,f113]) ).
fof(f113,axiom,
intersection(intersection(x,y),z) != intersection(x,intersection(y,z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_associativity_of_intersection_1) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X0,X1)
| ~ subclass(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f320,plain,
( ~ member(not_subclass_element(intersection(intersection(x,y),z),intersection(x,intersection(y,z))),z)
| member(not_subclass_element(intersection(x,intersection(y,z)),intersection(intersection(x,y),z)),intersection(x,intersection(y,z))) ),
inference(subsumption_resolution,[],[f319,f252]) ).
fof(f252,plain,
( member(not_subclass_element(intersection(intersection(x,y),z),intersection(x,intersection(y,z))),y)
| member(not_subclass_element(intersection(x,intersection(y,z)),intersection(intersection(x,y),z)),intersection(x,intersection(y,z))) ),
inference(resolution,[],[f239,f22]) ).
fof(f239,plain,
( member(not_subclass_element(intersection(intersection(x,y),z),intersection(x,intersection(y,z))),intersection(x,y))
| member(not_subclass_element(intersection(x,intersection(y,z)),intersection(intersection(x,y),z)),intersection(x,intersection(y,z))) ),
inference(resolution,[],[f233,f21]) ).
fof(f319,plain,
( member(not_subclass_element(intersection(x,intersection(y,z)),intersection(intersection(x,y),z)),intersection(x,intersection(y,z)))
| ~ member(not_subclass_element(intersection(intersection(x,y),z),intersection(x,intersection(y,z))),y)
| ~ member(not_subclass_element(intersection(intersection(x,y),z),intersection(x,intersection(y,z))),z) ),
inference(resolution,[],[f317,f23]) ).
fof(f23,axiom,
! [X0,X1,X4] :
( member(X4,intersection(X0,X1))
| ~ member(X4,X1)
| ~ member(X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection3) ).
fof(f317,plain,
( ~ member(not_subclass_element(intersection(intersection(x,y),z),intersection(x,intersection(y,z))),intersection(y,z))
| member(not_subclass_element(intersection(x,intersection(y,z)),intersection(intersection(x,y),z)),intersection(x,intersection(y,z))) ),
inference(subsumption_resolution,[],[f311,f253]) ).
fof(f253,plain,
( member(not_subclass_element(intersection(intersection(x,y),z),intersection(x,intersection(y,z))),x)
| member(not_subclass_element(intersection(x,intersection(y,z)),intersection(intersection(x,y),z)),intersection(x,intersection(y,z))) ),
inference(resolution,[],[f239,f21]) ).
fof(f311,plain,
( ~ member(not_subclass_element(intersection(intersection(x,y),z),intersection(x,intersection(y,z))),intersection(y,z))
| member(not_subclass_element(intersection(x,intersection(y,z)),intersection(intersection(x,y),z)),intersection(x,intersection(y,z)))
| ~ member(not_subclass_element(intersection(intersection(x,y),z),intersection(x,intersection(y,z))),x) ),
inference(resolution,[],[f23,f231]) ).
fof(f231,plain,
( ~ member(not_subclass_element(intersection(intersection(x,y),z),intersection(x,intersection(y,z))),intersection(x,intersection(y,z)))
| member(not_subclass_element(intersection(x,intersection(y,z)),intersection(intersection(x,y),z)),intersection(x,intersection(y,z))) ),
inference(resolution,[],[f228,f2]) ).
fof(f228,plain,
( ~ subclass(intersection(x,intersection(y,z)),intersection(intersection(x,y),z))
| ~ member(not_subclass_element(intersection(intersection(x,y),z),intersection(x,intersection(y,z))),intersection(x,intersection(y,z))) ),
inference(resolution,[],[f212,f3]) ).
fof(f3,axiom,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f340,plain,
~ member(not_subclass_element(intersection(x,intersection(y,z)),intersection(intersection(x,y),z)),x),
inference(subsumption_resolution,[],[f339,f334]) ).
fof(f334,plain,
member(not_subclass_element(intersection(x,intersection(y,z)),intersection(intersection(x,y),z)),y),
inference(resolution,[],[f322,f21]) ).
fof(f322,plain,
member(not_subclass_element(intersection(x,intersection(y,z)),intersection(intersection(x,y),z)),intersection(y,z)),
inference(resolution,[],[f321,f22]) ).
fof(f339,plain,
( ~ member(not_subclass_element(intersection(x,intersection(y,z)),intersection(intersection(x,y),z)),y)
| ~ member(not_subclass_element(intersection(x,intersection(y,z)),intersection(intersection(x,y),z)),x) ),
inference(resolution,[],[f336,f23]) ).
fof(f336,plain,
~ member(not_subclass_element(intersection(x,intersection(y,z)),intersection(intersection(x,y),z)),intersection(x,y)),
inference(resolution,[],[f333,f328]) ).
fof(f328,plain,
( ~ member(not_subclass_element(intersection(x,intersection(y,z)),intersection(intersection(x,y),z)),z)
| ~ member(not_subclass_element(intersection(x,intersection(y,z)),intersection(intersection(x,y),z)),intersection(x,y)) ),
inference(resolution,[],[f327,f23]) ).
fof(f327,plain,
~ member(not_subclass_element(intersection(x,intersection(y,z)),intersection(intersection(x,y),z)),intersection(intersection(x,y),z)),
inference(subsumption_resolution,[],[f326,f248]) ).
fof(f248,plain,
( member(not_subclass_element(intersection(intersection(x,y),z),intersection(x,intersection(y,z))),y)
| ~ member(not_subclass_element(intersection(x,intersection(y,z)),intersection(intersection(x,y),z)),intersection(intersection(x,y),z)) ),
inference(resolution,[],[f235,f22]) ).
fof(f235,plain,
( member(not_subclass_element(intersection(intersection(x,y),z),intersection(x,intersection(y,z))),intersection(x,y))
| ~ member(not_subclass_element(intersection(x,intersection(y,z)),intersection(intersection(x,y),z)),intersection(intersection(x,y),z)) ),
inference(resolution,[],[f232,f21]) ).
fof(f232,plain,
( member(not_subclass_element(intersection(intersection(x,y),z),intersection(x,intersection(y,z))),intersection(intersection(x,y),z))
| ~ member(not_subclass_element(intersection(x,intersection(y,z)),intersection(intersection(x,y),z)),intersection(intersection(x,y),z)) ),
inference(resolution,[],[f229,f3]) ).
fof(f326,plain,
( ~ member(not_subclass_element(intersection(intersection(x,y),z),intersection(x,intersection(y,z))),y)
| ~ member(not_subclass_element(intersection(x,intersection(y,z)),intersection(intersection(x,y),z)),intersection(intersection(x,y),z)) ),
inference(subsumption_resolution,[],[f325,f234]) ).
fof(f234,plain,
( member(not_subclass_element(intersection(intersection(x,y),z),intersection(x,intersection(y,z))),z)
| ~ member(not_subclass_element(intersection(x,intersection(y,z)),intersection(intersection(x,y),z)),intersection(intersection(x,y),z)) ),
inference(resolution,[],[f232,f22]) ).
fof(f325,plain,
( ~ member(not_subclass_element(intersection(intersection(x,y),z),intersection(x,intersection(y,z))),z)
| ~ member(not_subclass_element(intersection(intersection(x,y),z),intersection(x,intersection(y,z))),y)
| ~ member(not_subclass_element(intersection(x,intersection(y,z)),intersection(intersection(x,y),z)),intersection(intersection(x,y),z)) ),
inference(resolution,[],[f318,f23]) ).
fof(f318,plain,
( ~ member(not_subclass_element(intersection(intersection(x,y),z),intersection(x,intersection(y,z))),intersection(y,z))
| ~ member(not_subclass_element(intersection(x,intersection(y,z)),intersection(intersection(x,y),z)),intersection(intersection(x,y),z)) ),
inference(subsumption_resolution,[],[f312,f249]) ).
fof(f249,plain,
( member(not_subclass_element(intersection(intersection(x,y),z),intersection(x,intersection(y,z))),x)
| ~ member(not_subclass_element(intersection(x,intersection(y,z)),intersection(intersection(x,y),z)),intersection(intersection(x,y),z)) ),
inference(resolution,[],[f235,f21]) ).
fof(f312,plain,
( ~ member(not_subclass_element(intersection(intersection(x,y),z),intersection(x,intersection(y,z))),intersection(y,z))
| ~ member(not_subclass_element(intersection(intersection(x,y),z),intersection(x,intersection(y,z))),x)
| ~ member(not_subclass_element(intersection(x,intersection(y,z)),intersection(intersection(x,y),z)),intersection(intersection(x,y),z)) ),
inference(resolution,[],[f23,f230]) ).
fof(f230,plain,
( ~ member(not_subclass_element(intersection(intersection(x,y),z),intersection(x,intersection(y,z))),intersection(x,intersection(y,z)))
| ~ member(not_subclass_element(intersection(x,intersection(y,z)),intersection(intersection(x,y),z)),intersection(intersection(x,y),z)) ),
inference(resolution,[],[f228,f3]) ).
fof(f333,plain,
member(not_subclass_element(intersection(x,intersection(y,z)),intersection(intersection(x,y),z)),z),
inference(resolution,[],[f322,f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET143-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n001.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 13:43:46 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.18/0.45 % (7215)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.45 % (7215)Instruction limit reached!
% 0.18/0.45 % (7215)------------------------------
% 0.18/0.45 % (7215)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.46 % (7223)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.18/0.46 % (7215)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.46 % (7215)Termination reason: Unknown
% 0.18/0.46 % (7215)Termination phase: Saturation
% 0.18/0.46
% 0.18/0.46 % (7215)Memory used [KB]: 5628
% 0.18/0.46 % (7215)Time elapsed: 0.059 s
% 0.18/0.46 % (7215)Instructions burned: 7 (million)
% 0.18/0.46 % (7215)------------------------------
% 0.18/0.46 % (7215)------------------------------
% 0.18/0.50 % (7212)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.18/0.50 % (7217)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.50 % (7210)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.50 % (7211)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.50 % (7209)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.18/0.50 % (7216)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.50 % (7216)Instruction limit reached!
% 0.18/0.50 % (7216)------------------------------
% 0.18/0.50 % (7216)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (7230)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.18/0.51 % (7221)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.52 % (7208)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.52 % (7237)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.18/0.52 % (7207)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.18/0.52 % (7235)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.18/0.52 % (7236)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.52 % (7234)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.18/0.52 % (7216)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (7216)Termination reason: Unknown
% 0.18/0.52 % (7216)Termination phase: Function definition elimination
% 0.18/0.52
% 0.18/0.52 % (7216)Memory used [KB]: 895
% 0.18/0.52 % (7216)Time elapsed: 0.002 s
% 0.18/0.52 % (7216)Instructions burned: 2 (million)
% 0.18/0.52 % (7216)------------------------------
% 0.18/0.52 % (7216)------------------------------
% 0.18/0.52 % (7214)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.52 % (7232)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.53 % (7222)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.18/0.53 % (7229)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.53 % (7224)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.53 % (7228)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.18/0.53 % (7233)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.53 % (7227)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.53 % (7226)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.53 % (7231)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.18/0.54 % (7220)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.54 % (7225)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.54 % (7219)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.54 % (7218)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.54 % (7230)First to succeed.
% 0.18/0.54 % (7230)Refutation found. Thanks to Tanya!
% 0.18/0.54 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.54 % (7230)------------------------------
% 0.18/0.54 % (7230)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54 % (7230)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54 % (7230)Termination reason: Refutation
% 0.18/0.54
% 0.18/0.54 % (7230)Memory used [KB]: 1279
% 0.18/0.54 % (7230)Time elapsed: 0.134 s
% 0.18/0.54 % (7230)Instructions burned: 17 (million)
% 0.18/0.54 % (7230)------------------------------
% 0.18/0.54 % (7230)------------------------------
% 0.18/0.54 % (7206)Success in time 0.204 s
%------------------------------------------------------------------------------