%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : DAT085_1 : TPTP v9.3.1. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:47:16 AM UTC 2026
% Result : Theorem 4.02s 1.34s
% Output : Refutation 4.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of formulae : 54 ( 15 unt; 0 typ; 3 def)
% Number of atoms : 144 ( 73 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 156 ( 66 ~; 57 |; 21 &)
% ( 8 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 100 ( 7 atm; 7 fun; 33 num; 53 var)
% Number of types : 3 ( 1 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 16 ( 13 usr; 3 con; 0-2 aty)
% Number of variables : 119 ( 99 !; 20 ?; 119 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
list: $tType ).
tff(func_def_0,type,
nil: list ).
tff(func_def_1,type,
cons: ( $int * list ) > list ).
tff(func_def_2,type,
head: list > $int ).
tff(func_def_3,type,
tail: list > list ).
tff(func_def_5,type,
length: list > $int ).
tff(func_def_8,type,
count: ( $int * list ) > $int ).
tff(func_def_9,type,
append: ( list * list ) > list ).
tff(func_def_10,type,
sK0: ( list * $int ) > $int ).
tff(func_def_11,type,
sK1: ( list * $int ) > list ).
tff(func_def_12,type,
sK2: ( $int * list ) > list ).
tff(func_def_13,type,
sK3: ( $int * list ) > $int ).
tff(func_def_14,type,
sK4: ( $int * list ) > list ).
tff(func_def_15,type,
sK5: ( $int * list ) > $int ).
tff(pred_def_1,type,
in: ( $int * list ) > $o ).
tff(pred_def_2,type,
inRange: ( $int * list ) > $o ).
tff(f1,axiom,
! [X1: list,X0: $int] : ( head(cons(X0,X1)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l1) ).
tff(f5,axiom,
! [X0: $int,X1: list] :
( ( ? [X3: list,X2: $int] :
( in(X0,X3)
& ( X1 = cons(X2,X3) ) )
| ? [X3: list,X2: $int] :
( ( X0 = X2 )
& ( X1 = cons(X2,X3) ) ) )
<=> in(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',in_conv) ).
tff(f7,axiom,
length(nil) = 0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l) ).
tff(f8,axiom,
! [X1: list,X0: $int] : ( length(cons(X0,X1)) = $sum(1,length(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l_1) ).
tff(f9,axiom,
! [X0: $int] : ( count(X0,nil) = 0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a) ).
tff(f14,axiom,
! [X1: list,X0: $int] :
( in(X0,X1)
<=> $greater(count(X0,X1),0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_8) ).
tff(f15,conjecture,
~ ! [X1: list,X0: list] :
( ( length(X0) = length(X1) )
=> ( X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c) ).
tff(f16,negated_conjecture,
~ ~ ! [X1: list,X0: list] :
( ( length(X0) = length(X1) )
=> ( X0 = X1 ) ),
inference(negated_conjecture,[status(cth)],[f15]) ).
tff(f17,plain,
! [X1: list,X0: $int] :
( in(X0,X1)
<=> $less(0,count(X0,X1)) ),
inference(theory_normalization,[],[f14]) ).
tff(f19,plain,
! [X0: list,X1: $int] :
( $less(0,count(X1,X0))
<=> in(X1,X0) ),
inference(rectify,[],[f17]) ).
tff(f22,plain,
! [X0: $int,X1: list] :
( ( ? [X4: list,X5: $int] :
( ( cons(X5,X4) = X1 )
& ( X0 = X5 ) )
| ? [X3: list,X2: $int] :
( in(X0,X3)
& ( X1 = cons(X2,X3) ) ) )
<=> in(X0,X1) ),
inference(rectify,[],[f5]) ).
tff(f24,plain,
! [X0: list,X1: $int] : ( length(cons(X1,X0)) = $sum(1,length(X0)) ),
inference(rectify,[],[f8]) ).
tff(f26,plain,
~ ~ ! [X0: list,X1: list] :
( ( length(X0) = length(X1) )
=> ( X0 = X1 ) ),
inference(rectify,[],[f16]) ).
tff(f27,plain,
! [X0: list,X1: list] :
( ( length(X0) = length(X1) )
=> ( X0 = X1 ) ),
inference(flattening,[],[f26]) ).
tff(f30,plain,
! [X0: list,X1: list] :
( ( length(X1) != length(X0) )
| ( X0 = X1 ) ),
inference(ennf_transformation,[],[f27]) ).
tff(f36,plain,
! [X0: $int,X1: list] :
( ( ? [X4: list,X5: $int] :
( ( cons(X5,X4) = X1 )
& ( X0 = X5 ) )
| ? [X3: list,X2: $int] :
( in(X0,X3)
& ( X1 = cons(X2,X3) ) )
| ~ in(X0,X1) )
& ( in(X0,X1)
| ( ! [X4: list,X5: $int] :
( ( cons(X5,X4) != X1 )
| ( X0 != X5 ) )
& ! [X3: list,X2: $int] :
( ~ in(X0,X3)
| ( cons(X2,X3) != X1 ) ) ) ) ),
inference(nnf_transformation,[],[f22]) ).
tff(f37,plain,
! [X0: $int,X1: list] :
( ( ? [X4: list,X5: $int] :
( ( cons(X5,X4) = X1 )
& ( X0 = X5 ) )
| ? [X3: list,X2: $int] :
( in(X0,X3)
& ( X1 = cons(X2,X3) ) )
| ~ in(X0,X1) )
& ( in(X0,X1)
| ( ! [X4: list,X5: $int] :
( ( cons(X5,X4) != X1 )
| ( X0 != X5 ) )
& ! [X3: list,X2: $int] :
( ~ in(X0,X3)
| ( cons(X2,X3) != X1 ) ) ) ) ),
inference(flattening,[],[f36]) ).
tff(f38,plain,
! [X0: $int,X1: list] :
( ( ? [X2: list,X3: $int] :
( ( cons(X3,X2) = X1 )
& ( X0 = X3 ) )
| ? [X4: list,X5: $int] :
( in(X0,X4)
& ( cons(X5,X4) = X1 ) )
| ~ in(X0,X1) )
& ( in(X0,X1)
| ( ! [X6: list,X7: $int] :
( ( cons(X7,X6) != X1 )
| ( X0 != X7 ) )
& ! [X8: list,X9: $int] :
( ~ in(X0,X8)
| ( cons(X9,X8) != X1 ) ) ) ) ),
inference(rectify,[],[f37]) ).
tff(f39,plain,
! [X0: $int,X1: list] :
( ( ( ( cons(sK3(X0,X1),sK2(X0,X1)) = X1 )
& ( sK3(X0,X1) = X0 ) )
| ( in(X0,sK4(X0,X1))
& ( cons(sK5(X0,X1),sK4(X0,X1)) = X1 ) )
| ~ in(X0,X1) )
& ( in(X0,X1)
| ( ! [X6: list,X7: $int] :
( ( cons(X7,X6) != X1 )
| ( X0 != X7 ) )
& ! [X8: list,X9: $int] :
( ~ in(X0,X8)
| ( cons(X9,X8) != X1 ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5]),skolemize(X2,sK2(X0,X1)),skolemize(X3,sK3(X0,X1)),skolemize(X4,sK4(X0,X1)),skolemize(X5,sK5(X0,X1))],[f38]) ).
tff(f40,plain,
! [X0: list,X1: $int] :
( ( $less(0,count(X1,X0))
| ~ in(X1,X0) )
& ( in(X1,X0)
| ~ $less(0,count(X1,X0)) ) ),
inference(nnf_transformation,[],[f19]) ).
tff(f42,plain,
! [X0: list,X1: $int] : ( head(cons(X1,X0)) = X1 ),
inference(rectify,[],[f1]) ).
tff(f46,plain,
! [X0: $int] : ( 0 = count(X0,nil) ),
inference(cnf_transformation,[],[f9]) ).
tff(f55,plain,
! [X0: $int,X1: list,X6: list,X7: $int] :
( in(X0,X1)
| ( cons(X7,X6) != X1 )
| ( X0 != X7 ) ),
inference(cnf_transformation,[],[f39]) ).
tff(f61,plain,
! [X0: list,X1: $int] :
( $less(0,count(X1,X0))
| ~ in(X1,X0) ),
inference(cnf_transformation,[],[f40]) ).
tff(f63,plain,
! [X0: list,X1: $int] : ( head(cons(X1,X0)) = X1 ),
inference(cnf_transformation,[],[f42]) ).
tff(f67,plain,
0 = length(nil),
inference(cnf_transformation,[],[f7]) ).
tff(f68,plain,
! [X0: list,X1: $int] : ( length(cons(X1,X0)) = $sum(1,length(X0)) ),
inference(cnf_transformation,[],[f24]) ).
tff(f69,plain,
! [X0: list,X1: list] :
( ( length(X1) != length(X0) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f30]) ).
tff(f73,plain,
! [X0: $int,X6: list,X7: $int] :
( in(X0,cons(X7,X6))
| ( X0 != X7 ) ),
inference(equality_resolution,[],[f55]) ).
tff(f74,plain,
! [X6: list,X7: $int] : in(X7,cons(X7,X6)),
inference(equality_resolution,[],[f73]) ).
tff(f78,definition,
( spl6_1
<=> ( 0 = length(nil) ) ),
introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).
tff(f80,plain,
( ( 0 = length(nil) )
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f78]) ).
tff(f81,plain,
spl6_1,
inference(avatar_split_clause,[],[f67,f78]) ).
tff(f87,plain,
! [X0: $int] :
( $less(0,0)
| ~ in(X0,nil) ),
inference(superposition,[],[f61,f46]) ).
tff(f88,plain,
! [X0: $int] : ~ in(X0,nil),
inference(evaluation,[],[f87]) ).
tff(f93,plain,
! [X2: $int,X0: list,X1: list] :
( ( length(X1) != $sum(1,length(X0)) )
| ( cons(X2,X0) = X1 ) ),
inference(superposition,[],[f69,f68]) ).
tff(f119,plain,
( ! [X0: list,X1: $int] :
( ( length(X0) != $sum(1,0) )
| ( cons(X1,nil) = X0 ) )
| ~ spl6_1 ),
inference(superposition,[],[f93,f80]) ).
tff(f122,plain,
( ! [X0: list,X1: $int] :
( ( cons(X1,nil) = X0 )
| ( 1 != length(X0) ) )
| ~ spl6_1 ),
inference(evaluation,[],[f119]) ).
tff(f127,plain,
( ! [X0: list,X1: $int] :
( ( head(X0) = X1 )
| ( 1 != length(X0) ) )
| ~ spl6_1 ),
inference(superposition,[],[f63,f122]) ).
tff(f130,plain,
( ! [X0: list,X1: $int] :
( ( 1 != length(X0) )
| in(X1,X0) )
| ~ spl6_1 ),
inference(superposition,[],[f74,f122]) ).
tff(f174,plain,
( ! [X2: $int,X0: list,X1: list] :
( ( 1 != length(X0) )
| in(X2,X1)
| ( head(X0) != 1 ) )
| ~ spl6_1 ),
inference(superposition,[],[f130,f127]) ).
tff(f207,definition,
( spl6_4
<=> ! [X2: list,X1: $int] : in(X1,X2) ),
introduced(definition,[new_symbols(definition,[spl6_4])],[avatar_definition]) ).
tff(f208,plain,
( ! [X2: list,X1: $int] : in(X1,X2)
| ~ spl6_4 ),
inference(avatar_component_clause,[],[f207]) ).
tff(f217,plain,
( ! [X2: $int,X0: list,X1: list] :
( ( 1 != length(X0) )
| in(X2,X1) )
| ~ spl6_1 ),
inference(forward_subsumption_resolution,[],[f174,f127]) ).
tff(f233,definition,
( spl6_9
<=> ! [X1: list] : ( 1 != length(X1) ) ),
introduced(definition,[new_symbols(definition,[spl6_9])],[avatar_definition]) ).
tff(f234,plain,
( ! [X1: list] : ( 1 != length(X1) )
| ~ spl6_9 ),
inference(avatar_component_clause,[],[f233]) ).
tff(f254,plain,
( spl6_9
| spl6_4
| ~ spl6_1 ),
inference(avatar_split_clause,[],[f217,f78,f207,f233]) ).
tff(f259,plain,
( $false
| ~ spl6_4 ),
inference(resolution,[],[f208,f88]) ).
tff(f260,plain,
~ spl6_4,
inference(avatar_contradiction_clause,[],[f259]) ).
tff(f275,plain,
( ! [X0: list] : ( 1 != $sum(1,length(X0)) )
| ~ spl6_9 ),
inference(superposition,[],[f234,f68]) ).
tff(f305,plain,
( ( 1 != $sum(1,0) )
| ~ spl6_1
| ~ spl6_9 ),
inference(superposition,[],[f275,f80]) ).
tff(f310,plain,
( $false
| ~ spl6_1
| ~ spl6_9 ),
inference(evaluation,[],[f305]) ).
tff(f311,plain,
( ~ spl6_1
| ~ spl6_9 ),
inference(avatar_contradiction_clause,[],[f310]) ).
tff(f312,plain,
$false,
inference(avatar_smt_refutation,[],[f311,f260,f254,f81]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : DAT085_1 : TPTP v9.3.1. Released v6.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.16 % Computer : n020.cluster.edu
% 0.10/0.16 % Model : x86_64 x86_64
% 0.10/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.16 % Memory : 8046.5625MB
% 0.10/0.16 % OS : Linux 6.8.0-71-generic
% 0.10/0.16 % CPULimit : 300
% 0.10/0.16 % WCLimit : 300
% 0.10/0.16 % DateTime : Tue Sep 29 00:09:04 UTC 2026
% 0.10/0.16 % CPUTime :
% 0.10/0.16 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 Running first-order theorem proving
% 0.10/0.20 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.54/1.14 % (701455)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 2.54/1.14 % (701543)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=1949008732:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 2.54/1.14 % (701543)Instruction limit reached!
% 2.54/1.14 % (701543)------------------------------
% 2.54/1.14 % (701543)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.54/1.14 % (701543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/1.14 % (701543)CaDiCaL version: 2.1.3
% 2.54/1.14 % (701543)Termination reason: Instruction limit
% 2.54/1.14 % (701543)Termination phase: Saturation
% 2.54/1.14 % (701543)Time elapsed: 0.020 s
% 2.54/1.14 % (701543)Peak memory usage: 115 MB
% 2.54/1.14 % (701543)Instructions burned: 15 (million)
% 2.54/1.14 % (701546)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=600462494:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 2.54/1.14 % (701547)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3914087174:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 2.54/1.14 % (701544)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=2392080066:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 2.54/1.14 % (701545)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2027617570:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 2.54/1.14 % (701547)Instruction limit reached!
% 2.54/1.14 % (701547)------------------------------
% 2.54/1.14 % (701547)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.54/1.14 % (701547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/1.14 % (701547)CaDiCaL version: 2.1.3
% 2.54/1.14 % (701547)Termination reason: Instruction limit
% 2.54/1.14 % (701547)Termination phase: Saturation
% 2.54/1.14 % (701547)Time elapsed: 0.004 s
% 2.54/1.14 % (701547)Peak memory usage: 88 MB
% 2.54/1.14 % (701547)Instructions burned: 4 (million)
% 2.54/1.14 % (701546)Instruction limit reached!
% 2.54/1.14 % (701546)------------------------------
% 2.54/1.14 % (701546)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.54/1.14 % (701546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/1.14 % (701546)CaDiCaL version: 2.1.3
% 2.54/1.14 % (701546)Termination reason: Instruction limit
% 2.54/1.14 % (701546)Termination phase: Saturation
% 2.54/1.14 % (701546)Time elapsed: 0.006 s
% 2.54/1.14 % (701546)Peak memory usage: 88 MB
% 2.54/1.14 % (701546)Instructions burned: 7 (million)
% 2.54/1.14 % (701549)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=1587450507:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 2.54/1.14 % (701548)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2570474729:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 2.54/1.14 % (701544)First to succeed.
% 2.54/1.14 % (701545)Also succeeded, but the first one will report.
% 2.54/1.14 % (701544)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-701455"
% 2.54/1.14 % (701548)Also succeeded, but the first one will report.
% 2.54/1.14 % (701549)Also succeeded, but the first one will report.
% 2.54/1.14 % (701575)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=1534839760:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.54/1.14 % (701575)Also succeeded, but the first one will report.
% 2.54/1.14 % (701587)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=1788328584:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 2.54/1.14 % (701587)Also succeeded, but the first one will report.
% 2.54/1.14 % (701588)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=76381090:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 2.54/1.14 % (701588)Instruction limit reached!
% 2.54/1.14 % (701588)------------------------------
% 2.54/1.14 % (701588)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.54/1.14 % (701588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/1.14 % (701588)CaDiCaL version: 2.1.3
% 2.54/1.14 % (701588)Termination reason: Instruction limit
% 4.02/1.34 % (701588)Termination phase: Saturation
% 4.02/1.34 % (701588)Time elapsed: 0.013 s
% 4.02/1.34 % (701588)Peak memory usage: 90 MB
% 4.02/1.34 % (701588)Instructions burned: 17 (million)
% 4.02/1.34 % (701544)Refutation found. Thanks to Tanya!
% 4.02/1.34 % SZS status Theorem for theBenchmark
% 4.02/1.34 % SZS output start Proof for theBenchmark
% See solution above
% 4.02/1.34 % (701544)------------------------------
% 4.02/1.34 % (701544)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.02/1.34 % (701544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.02/1.34 % (701544)CaDiCaL version: 2.1.3
% 4.02/1.34 % (701544)Termination reason: Refutation
% 4.02/1.34 % (701544)Time elapsed: 0.046 s
% 4.02/1.34 % (701544)Peak memory usage: 116 MB
% 4.02/1.34 % (701544)Instructions burned: 22 (million)
% 4.02/1.34 % (701544)------------------------------
% 4.02/1.34 % (701544)------------------------------
% 4.02/1.34 % (701455)Success in time 0.499 s
% 4.02/1.34 % Vampire exiting
%------------------------------------------------------------------------------