TSTP Solution File: SWW581_2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWW581_2 : TPTP v8.1.0. Released v6.1.0.
% 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 : n024.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 19:08:00 EDT 2022
% Result : Theorem 1.91s 0.60s
% Output : Refutation 1.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 40
% Syntax : Number of formulae : 90 ( 36 unt; 25 typ; 0 def)
% Number of atoms : 240 ( 88 equ)
% Maximal formula atoms : 26 ( 3 avg)
% Number of connectives : 265 ( 90 ~; 40 |; 104 &)
% ( 0 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number arithmetic : 445 ( 151 atm; 91 fun; 116 num; 87 var)
% Number of types : 6 ( 4 usr; 1 ari)
% Number of type conns : 13 ( 7 >; 6 *; 0 +; 0 <<)
% Number of predicates : 5 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 27 ( 20 usr; 17 con; 0-4 aty)
% Number of variables : 87 ( 51 !; 36 ?; 87 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
uni: $tType ).
tff(type_def_6,type,
ty: $tType ).
tff(type_def_7,type,
bool: $tType ).
tff(type_def_8,type,
tuple0: $tType ).
tff(func_def_0,type,
witness: ty > uni ).
tff(func_def_1,type,
int: ty ).
tff(func_def_2,type,
real: ty ).
tff(func_def_3,type,
bool1: ty ).
tff(func_def_4,type,
true: bool ).
tff(func_def_5,type,
false: bool ).
tff(func_def_6,type,
match_bool: ( ty * bool * uni * uni ) > uni ).
tff(func_def_7,type,
tuple01: ty ).
tff(func_def_8,type,
tuple02: tuple0 ).
tff(func_def_9,type,
qtmark: ty ).
tff(func_def_12,type,
fact: $int > $int ).
tff(func_def_15,type,
ref: ty > ty ).
tff(func_def_16,type,
mk_ref: ( ty * uni ) > uni ).
tff(func_def_17,type,
contents: ( ty * uni ) > uni ).
tff(func_def_20,type,
sK0: $int ).
tff(func_def_21,type,
sK1: $int ).
tff(func_def_22,type,
sK2: $int ).
tff(func_def_23,type,
sK3: $int ).
tff(func_def_24,type,
sK4: $int ).
tff(func_def_25,type,
sK5: $int ).
tff(pred_def_1,type,
sort: ( ty * uni ) > $o ).
tff(f284,plain,
$false,
inference(subsumption_resolution,[],[f283,f268]) ).
tff(f268,plain,
sK3 != fact(sK4),
inference(subsumption_resolution,[],[f172,f251]) ).
tff(f251,plain,
~ $less(sK4,0),
inference(resolution,[],[f173,f25]) ).
tff(f25,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_147,[]) ).
tff(f173,plain,
! [X0: $int] :
( $less(X0,sK4)
| ~ $less(X0,0) ),
inference(resolution,[],[f167,f26]) ).
tff(f26,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X1,X2)
| ~ $less(X0,X1)
| $less(X0,X2) ),
introduced(theory_axiom_148,[]) ).
tff(f167,plain,
$less(0,sK4),
inference(backward_demodulation,[],[f116,f153]) ).
tff(f153,plain,
sK4 = sK5,
inference(subsumption_resolution,[],[f95,f123]) ).
tff(f123,plain,
~ $less(sK4,sK5),
inference(resolution,[],[f83,f60]) ).
tff(f60,plain,
$less(sK2,sK4),
inference(cnf_transformation,[],[f50]) ).
tff(f50,plain,
( ~ $less(sK0,0)
& ~ $less(sK2,0)
& $less(sK2,sK4)
& ( sK3 = $product(sK4,fact(sK2)) )
& ( $less(sK5,0)
| $less(sK0,sK5)
| ( sK3 != fact(sK5) ) )
& ( $sum(sK2,1) = sK5 )
& ~ $less($sum(sK2,1),sK4)
& ~ $less(sK4,1)
& ( fact(sK2) = sK1 )
& $less(sK2,sK0)
& ~ $less(sK0,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f45,f49,f48,f47,f46]) ).
tff(f46,plain,
( ? [X0: $int] :
( ~ $less(X0,0)
& ? [X1: $int,X2: $int] :
( ~ $less(X2,0)
& ? [X3: $int,X4: $int] :
( $less(X2,X4)
& ( $product(X4,fact(X2)) = X3 )
& ? [X5: $int] :
( ( $less(X5,0)
| $less(X0,X5)
| ( fact(X5) != X3 ) )
& ( $sum(X2,1) = X5 ) )
& ~ $less($sum(X2,1),X4)
& ~ $less(X4,1) )
& ( fact(X2) = X1 )
& $less(X2,X0)
& ~ $less(X0,X2) ) )
=> ( ~ $less(sK0,0)
& ? [X2: $int,X1: $int] :
( ~ $less(X2,0)
& ? [X4: $int,X3: $int] :
( $less(X2,X4)
& ( $product(X4,fact(X2)) = X3 )
& ? [X5: $int] :
( ( $less(X5,0)
| $less(sK0,X5)
| ( fact(X5) != X3 ) )
& ( $sum(X2,1) = X5 ) )
& ~ $less($sum(X2,1),X4)
& ~ $less(X4,1) )
& ( fact(X2) = X1 )
& $less(X2,sK0)
& ~ $less(sK0,X2) ) ) ),
introduced(choice_axiom,[]) ).
tff(f47,plain,
( ? [X2: $int,X1: $int] :
( ~ $less(X2,0)
& ? [X4: $int,X3: $int] :
( $less(X2,X4)
& ( $product(X4,fact(X2)) = X3 )
& ? [X5: $int] :
( ( $less(X5,0)
| $less(sK0,X5)
| ( fact(X5) != X3 ) )
& ( $sum(X2,1) = X5 ) )
& ~ $less($sum(X2,1),X4)
& ~ $less(X4,1) )
& ( fact(X2) = X1 )
& $less(X2,sK0)
& ~ $less(sK0,X2) )
=> ( ~ $less(sK2,0)
& ? [X4: $int,X3: $int] :
( $less(sK2,X4)
& ( $product(X4,fact(sK2)) = X3 )
& ? [X5: $int] :
( ( $less(X5,0)
| $less(sK0,X5)
| ( fact(X5) != X3 ) )
& ( $sum(sK2,1) = X5 ) )
& ~ $less($sum(sK2,1),X4)
& ~ $less(X4,1) )
& ( fact(sK2) = sK1 )
& $less(sK2,sK0)
& ~ $less(sK0,sK2) ) ),
introduced(choice_axiom,[]) ).
tff(f48,plain,
( ? [X4: $int,X3: $int] :
( $less(sK2,X4)
& ( $product(X4,fact(sK2)) = X3 )
& ? [X5: $int] :
( ( $less(X5,0)
| $less(sK0,X5)
| ( fact(X5) != X3 ) )
& ( $sum(sK2,1) = X5 ) )
& ~ $less($sum(sK2,1),X4)
& ~ $less(X4,1) )
=> ( $less(sK2,sK4)
& ( sK3 = $product(sK4,fact(sK2)) )
& ? [X5: $int] :
( ( $less(X5,0)
| $less(sK0,X5)
| ( sK3 != fact(X5) ) )
& ( $sum(sK2,1) = X5 ) )
& ~ $less($sum(sK2,1),sK4)
& ~ $less(sK4,1) ) ),
introduced(choice_axiom,[]) ).
tff(f49,plain,
( ? [X5: $int] :
( ( $less(X5,0)
| $less(sK0,X5)
| ( sK3 != fact(X5) ) )
& ( $sum(sK2,1) = X5 ) )
=> ( ( $less(sK5,0)
| $less(sK0,sK5)
| ( sK3 != fact(sK5) ) )
& ( $sum(sK2,1) = sK5 ) ) ),
introduced(choice_axiom,[]) ).
tff(f45,plain,
? [X0: $int] :
( ~ $less(X0,0)
& ? [X1: $int,X2: $int] :
( ~ $less(X2,0)
& ? [X3: $int,X4: $int] :
( $less(X2,X4)
& ( $product(X4,fact(X2)) = X3 )
& ? [X5: $int] :
( ( $less(X5,0)
| $less(X0,X5)
| ( fact(X5) != X3 ) )
& ( $sum(X2,1) = X5 ) )
& ~ $less($sum(X2,1),X4)
& ~ $less(X4,1) )
& ( fact(X2) = X1 )
& $less(X2,X0)
& ~ $less(X0,X2) ) ),
inference(flattening,[],[f44]) ).
tff(f44,plain,
? [X0: $int] :
( ? [X2: $int,X1: $int] :
( ? [X3: $int,X4: $int] :
( ? [X5: $int] :
( ( $less(X5,0)
| $less(X0,X5)
| ( fact(X5) != X3 ) )
& ( $sum(X2,1) = X5 ) )
& $less(X2,X4)
& ( $product(X4,fact(X2)) = X3 )
& ~ $less($sum(X2,1),X4)
& ~ $less(X4,1) )
& $less(X2,X0)
& ~ $less(X2,0)
& ~ $less(X0,X2)
& ( fact(X2) = X1 ) )
& ~ $less(X0,0) ),
inference(ennf_transformation,[],[f38]) ).
tff(f38,plain,
~ ! [X0: $int] :
( ~ $less(X0,0)
=> ! [X2: $int,X1: $int] :
( ( ~ $less(X2,0)
& ~ $less(X0,X2)
& ( fact(X2) = X1 ) )
=> ( $less(X2,X0)
=> ! [X3: $int,X4: $int] :
( ( ( $product(X4,fact(X2)) = X3 )
& ~ $less($sum(X2,1),X4)
& ~ $less(X4,1) )
=> ( $less(X2,X4)
=> ! [X5: $int] :
( ( $sum(X2,1) = X5 )
=> ( ~ $less(X0,X5)
& ~ $less(X5,0)
& ( fact(X5) = X3 ) ) ) ) ) ) ) ),
inference(rectify,[],[f19]) ).
tff(f19,plain,
~ ! [X8: $int] :
( ~ $less(X8,0)
=> ! [X6: $int,X9: $int] :
( ( ( fact(X9) = X6 )
& ~ $less(X9,0)
& ~ $less(X8,X9) )
=> ( $less(X9,X8)
=> ! [X11: $int,X10: $int] :
( ( ~ $less(X10,1)
& ~ $less($sum(X9,1),X10)
& ( $product(X10,fact(X9)) = X11 ) )
=> ( $less(X9,X10)
=> ! [X12: $int] :
( ( $sum(X9,1) = X12 )
=> ( ~ $less(X8,X12)
& ( fact(X12) = X11 )
& ~ $less(X12,0) ) ) ) ) ) ) ),
inference(theory_normalization,[],[f16]) ).
tff(f16,negated_conjecture,
~ ! [X8: $int] :
( $lesseq(0,X8)
=> ! [X6: $int,X9: $int] :
( ( ( fact(X9) = X6 )
& $lesseq(0,X9)
& $lesseq(X9,X8) )
=> ( $less(X9,X8)
=> ! [X11: $int,X10: $int] :
( ( $lesseq(1,X10)
& $lesseq(X10,$sum(X9,1))
& ( $product(X10,fact(X9)) = X11 ) )
=> ( ~ $lesseq(X10,X9)
=> ! [X12: $int] :
( ( $sum(X9,1) = X12 )
=> ( $lesseq(X12,X8)
& ( fact(X12) = X11 )
& $lesseq(0,X12) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f15]) ).
tff(f15,conjecture,
! [X8: $int] :
( $lesseq(0,X8)
=> ! [X6: $int,X9: $int] :
( ( ( fact(X9) = X6 )
& $lesseq(0,X9)
& $lesseq(X9,X8) )
=> ( $less(X9,X8)
=> ! [X11: $int,X10: $int] :
( ( $lesseq(1,X10)
& $lesseq(X10,$sum(X9,1))
& ( $product(X10,fact(X9)) = X11 ) )
=> ( ~ $lesseq(X10,X9)
=> ! [X12: $int] :
( ( $sum(X9,1) = X12 )
=> ( $lesseq(X12,X8)
& ( fact(X12) = X11 )
& $lesseq(0,X12) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_routine) ).
tff(f83,plain,
! [X1: $int] :
( ~ $less(sK2,X1)
| ~ $less(X1,sK5) ),
inference(superposition,[],[f37,f57]) ).
tff(f57,plain,
$sum(sK2,1) = sK5,
inference(cnf_transformation,[],[f50]) ).
tff(f37,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(X0,1))
| ~ $less(X0,X1) ),
introduced(theory_axiom_166,[]) ).
tff(f95,plain,
( $less(sK4,sK5)
| ( sK4 = sK5 ) ),
inference(resolution,[],[f91,f27]) ).
tff(f27,plain,
! [X0: $int,X1: $int] :
( $less(X1,X0)
| $less(X0,X1)
| ( X0 = X1 ) ),
introduced(theory_axiom_149,[]) ).
tff(f91,plain,
~ $less(sK5,sK4),
inference(backward_demodulation,[],[f67,f80]) ).
tff(f80,plain,
$sum(1,sK2) = sK5,
inference(superposition,[],[f57,f20]) ).
tff(f20,plain,
! [X0: $int,X1: $int] : ( $sum(X1,X0) = $sum(X0,X1) ),
introduced(theory_axiom_140,[]) ).
tff(f67,plain,
~ $less($sum(1,sK2),sK4),
inference(forward_demodulation,[],[f56,f20]) ).
tff(f56,plain,
~ $less($sum(sK2,1),sK4),
inference(cnf_transformation,[],[f50]) ).
tff(f116,plain,
$less(0,sK5),
inference(resolution,[],[f82,f61]) ).
tff(f61,plain,
~ $less(sK2,0),
inference(cnf_transformation,[],[f50]) ).
tff(f82,plain,
! [X0: $int] :
( $less(sK2,X0)
| $less(X0,sK5) ),
inference(superposition,[],[f29,f57]) ).
tff(f29,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(theory_axiom_152,[]) ).
tff(f172,plain,
( ( sK3 != fact(sK4) )
| $less(sK4,0) ),
inference(forward_demodulation,[],[f171,f153]) ).
tff(f171,plain,
( ( sK3 != fact(sK5) )
| $less(sK4,0) ),
inference(backward_demodulation,[],[f149,f153]) ).
tff(f149,plain,
( ( sK3 != fact(sK5) )
| $less(sK5,0) ),
inference(subsumption_resolution,[],[f58,f122]) ).
tff(f122,plain,
~ $less(sK0,sK5),
inference(resolution,[],[f83,f53]) ).
tff(f53,plain,
$less(sK2,sK0),
inference(cnf_transformation,[],[f50]) ).
tff(f58,plain,
( ( sK3 != fact(sK5) )
| $less(sK0,sK5)
| $less(sK5,0) ),
inference(cnf_transformation,[],[f50]) ).
tff(f283,plain,
sK3 = fact(sK4),
inference(forward_demodulation,[],[f282,f97]) ).
tff(f97,plain,
sK3 = $product(sK4,sK1),
inference(forward_demodulation,[],[f59,f54]) ).
tff(f54,plain,
fact(sK2) = sK1,
inference(cnf_transformation,[],[f50]) ).
tff(f59,plain,
sK3 = $product(sK4,fact(sK2)),
inference(cnf_transformation,[],[f50]) ).
tff(f282,plain,
$product(sK4,sK1) = fact(sK4),
inference(forward_demodulation,[],[f278,f54]) ).
tff(f278,plain,
$product(sK4,fact(sK2)) = fact(sK4),
inference(backward_demodulation,[],[f74,f271]) ).
tff(f271,plain,
$sum(-1,sK4) = sK2,
inference(superposition,[],[f265,f20]) ).
tff(f265,plain,
$sum(sK4,-1) = sK2,
inference(forward_demodulation,[],[f263,f22]) ).
tff(f22,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
introduced(theory_axiom_142,[]) ).
tff(f263,plain,
$sum(sK4,-1) = $sum(sK2,0),
inference(evaluation,[],[f259]) ).
tff(f259,plain,
$sum(sK4,$uminus(1)) = $sum(sK2,0),
inference(superposition,[],[f183,f24]) ).
tff(f24,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_145,[]) ).
tff(f183,plain,
! [X4: $int] : ( $sum(sK2,$sum(1,X4)) = $sum(sK4,X4) ),
inference(superposition,[],[f21,f159]) ).
tff(f159,plain,
$sum(sK2,1) = sK4,
inference(backward_demodulation,[],[f57,f153]) ).
tff(f21,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_141,[]) ).
tff(f74,plain,
$product(sK4,fact($sum(-1,sK4))) = fact(sK4),
inference(forward_demodulation,[],[f71,f20]) ).
tff(f71,plain,
$product(sK4,fact($sum(sK4,-1))) = fact(sK4),
inference(resolution,[],[f55,f66]) ).
tff(f66,plain,
! [X0: $int] :
( $less(X0,1)
| ( fact(X0) = $product(X0,fact($sum(X0,-1))) ) ),
inference(evaluation,[],[f65]) ).
tff(f65,plain,
! [X0: $int] :
( ( $product(X0,fact($sum(X0,$uminus(1)))) = fact(X0) )
| $less(X0,1) ),
inference(cnf_transformation,[],[f41]) ).
tff(f41,plain,
! [X0: $int] :
( ( $product(X0,fact($sum(X0,$uminus(1)))) = fact(X0) )
| $less(X0,1) ),
inference(ennf_transformation,[],[f39]) ).
tff(f39,plain,
! [X0: $int] :
( ~ $less(X0,1)
=> ( $product(X0,fact($sum(X0,$uminus(1)))) = fact(X0) ) ),
inference(rectify,[],[f18]) ).
tff(f18,plain,
! [X8: $int] :
( ~ $less(X8,1)
=> ( fact(X8) = $product(X8,fact($sum(X8,$uminus(1)))) ) ),
inference(theory_normalization,[],[f10]) ).
tff(f10,axiom,
! [X8: $int] :
( $lesseq(1,X8)
=> ( fact(X8) = $product(X8,fact($difference(X8,1))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',factn) ).
tff(f55,plain,
~ $less(sK4,1),
inference(cnf_transformation,[],[f50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWW581=2 : TPTP v8.1.0. Released v6.1.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 20:55:04 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.51 % (26238)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.51 % (26228)lrs+1010_1:1_ep=RST:s2a=on:s2at=5.0:sos=all:i=26:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/26Mi)
% 0.20/0.52 % (26230)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 0.20/0.52 % (26246)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.20/0.52 % (26232)lrs+10_1:1_ep=R:gve=force:plsq=on:plsqr=32,1:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.52 % (26240)dis+1002_1:5_av=off:nwc=2.0:sos=all:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.53 % (26232)Instruction limit reached!
% 0.20/0.53 % (26232)------------------------------
% 0.20/0.53 % (26232)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (26232)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (26232)Termination reason: Unknown
% 0.20/0.53 % (26232)Termination phase: Property scanning
% 0.20/0.53
% 0.20/0.53 % (26232)Memory used [KB]: 895
% 0.20/0.53 % (26232)Time elapsed: 0.003 s
% 0.20/0.53 % (26232)Instructions burned: 2 (million)
% 0.20/0.53 % (26232)------------------------------
% 0.20/0.53 % (26232)------------------------------
% 0.20/0.53 % (26221)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.20/0.53 % (26248)dis+1011_1:1_bd=off:canc=force:ev=cautious:nwc=5.0:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.20/0.53 % (26234)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53 % (26224)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.53 % (26222)dis+1011_1:64_drc=off:flr=on:nwc=2.0:sac=on:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.53 % (26240)Instruction limit reached!
% 0.20/0.53 % (26240)------------------------------
% 0.20/0.53 % (26240)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (26240)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (26240)Termination reason: Unknown
% 0.20/0.53 % (26240)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (26240)Memory used [KB]: 1151
% 0.20/0.53 % (26240)Time elapsed: 0.128 s
% 0.20/0.53 % (26240)Instructions burned: 15 (million)
% 0.20/0.53 % (26240)------------------------------
% 0.20/0.53 % (26240)------------------------------
% 0.20/0.53 % (26225)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.53 % (26249)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=41:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/41Mi)
% 0.20/0.53 % (26227)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/36Mi)
% 0.20/0.53 % (26220)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59848:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59848Mi)
% 0.20/0.54 % (26229)lrs+10_1:8_ep=R:erd=off:fs=off:fsr=off:gve=force:nwc=2.0:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54 % (26223)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=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54 % (26229)Instruction limit reached!
% 0.20/0.54 % (26229)------------------------------
% 0.20/0.54 % (26229)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (26229)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (26229)Termination reason: Unknown
% 0.20/0.54 % (26229)Termination phase: Property scanning
% 0.20/0.54
% 0.20/0.54 % (26229)Memory used [KB]: 1023
% 0.20/0.54 % (26229)Time elapsed: 0.002 s
% 0.20/0.54 % (26229)Instructions burned: 3 (million)
% 0.20/0.54 % (26229)------------------------------
% 0.20/0.54 % (26229)------------------------------
% 0.20/0.54 % (26223)Instruction limit reached!
% 0.20/0.54 % (26223)------------------------------
% 0.20/0.54 % (26223)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (26223)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (26223)Termination reason: Unknown
% 0.20/0.54 % (26223)Termination phase: Property scanning
% 0.20/0.54
% 0.20/0.54 % (26223)Memory used [KB]: 1023
% 0.20/0.54 % (26223)Time elapsed: 0.003 s
% 0.20/0.54 % (26223)Instructions burned: 3 (million)
% 0.20/0.54 % (26223)------------------------------
% 0.20/0.54 % (26223)------------------------------
% 0.20/0.54 % (26247)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.20/0.54 % (26233)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.20/0.54 % (26245)lrs+1002_1:1_br=off:canc=force:drc=off:s2a=on:sos=on:sp=reverse_frequency:urr=on:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.20/0.54 % (26238)Instruction limit reached!
% 0.20/0.54 % (26238)------------------------------
% 0.20/0.54 % (26238)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (26238)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (26238)Termination reason: Unknown
% 0.20/0.54 % (26238)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (26238)Memory used [KB]: 5628
% 0.20/0.54 % (26238)Time elapsed: 0.133 s
% 0.20/0.54 % (26238)Instructions burned: 17 (million)
% 0.20/0.54 % (26238)------------------------------
% 0.20/0.54 % (26238)------------------------------
% 0.20/0.54 % (26242)dis+2_1:1_av=off:bsr=on:erd=off:s2pl=on:sgt=16:sos=on:sp=frequency:ss=axioms:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.20/0.54 % (26239)lrs+10_1:1_sd=10:sos=all:ss=axioms:st=5.0:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54 % (26244)lrs+1_1:10_av=off:drc=off:nwc=2.0:sp=reverse_frequency:thsq=on:thsqc=64:thsql=off:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/47Mi)
% 0.20/0.54 % (26243)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54 % (26239)Instruction limit reached!
% 0.20/0.54 % (26239)------------------------------
% 0.20/0.54 % (26239)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (26239)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (26239)Termination reason: Unknown
% 0.20/0.54 % (26239)Termination phase: shuffling
% 0.20/0.54
% 0.20/0.54 % (26239)Memory used [KB]: 1023
% 0.20/0.54 % (26239)Time elapsed: 0.002 s
% 0.20/0.54 % (26239)Instructions burned: 2 (million)
% 0.20/0.54 % (26239)------------------------------
% 0.20/0.54 % (26239)------------------------------
% 0.20/0.54 % (26241)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.20/0.55 % (26237)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.55 % (26231)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.55 % (26231)Instruction limit reached!
% 0.20/0.55 % (26231)------------------------------
% 0.20/0.55 % (26231)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (26231)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (26231)Termination reason: Unknown
% 0.20/0.55 % (26231)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (26231)Memory used [KB]: 5500
% 0.20/0.55 % (26231)Time elapsed: 0.151 s
% 0.20/0.55 % (26231)Instructions burned: 5 (million)
% 0.20/0.55 % (26231)------------------------------
% 0.20/0.55 % (26231)------------------------------
% 0.20/0.55 % (26236)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.55 % (26235)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.55 % (26235)Instruction limit reached!
% 0.20/0.55 % (26235)------------------------------
% 0.20/0.55 % (26235)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (26236)Instruction limit reached!
% 0.20/0.55 % (26236)------------------------------
% 0.20/0.55 % (26236)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (26236)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (26235)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (26236)Termination reason: Unknown
% 0.20/0.55 % (26235)Termination reason: Unknown
% 0.20/0.55 % (26236)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (26235)Termination phase: Preprocessing 3
% 0.20/0.55
% 0.20/0.55 % (26236)Memory used [KB]: 5500
% 0.20/0.55 % (26236)Time elapsed: 0.002 s
% 0.20/0.55 % (26235)Memory used [KB]: 1023
% 0.20/0.55 % (26236)Instructions burned: 2 (million)
% 0.20/0.55 % (26235)Time elapsed: 0.002 s
% 0.20/0.55 % (26236)------------------------------
% 0.20/0.55 % (26236)------------------------------
% 0.20/0.55 % (26235)Instructions burned: 3 (million)
% 0.20/0.55 % (26235)------------------------------
% 0.20/0.55 % (26235)------------------------------
% 0.20/0.55 % (26226)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/32Mi)
% 0.20/0.55 % (26222)Instruction limit reached!
% 0.20/0.55 % (26222)------------------------------
% 0.20/0.55 % (26222)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (26222)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (26222)Termination reason: Unknown
% 0.20/0.55 % (26222)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (26222)Memory used [KB]: 5628
% 0.20/0.55 % (26222)Time elapsed: 0.158 s
% 0.20/0.55 % (26222)Instructions burned: 8 (million)
% 0.20/0.55 % (26222)------------------------------
% 0.20/0.55 % (26222)------------------------------
% 0.20/0.56 % (26225)Instruction limit reached!
% 0.20/0.56 % (26225)------------------------------
% 0.20/0.56 % (26225)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (26225)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (26225)Termination reason: Unknown
% 0.20/0.56 % (26225)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (26225)Memory used [KB]: 5628
% 0.20/0.56 % (26225)Time elapsed: 0.161 s
% 0.20/0.56 % (26225)Instructions burned: 16 (million)
% 0.20/0.56 % (26225)------------------------------
% 0.20/0.56 % (26225)------------------------------
% 0.20/0.56 % (26248)Instruction limit reached!
% 0.20/0.56 % (26248)------------------------------
% 0.20/0.56 % (26248)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (26248)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (26248)Termination reason: Unknown
% 0.20/0.56 % (26248)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (26248)Memory used [KB]: 5756
% 0.20/0.56 % (26248)Time elapsed: 0.155 s
% 0.20/0.56 % (26248)Instructions burned: 21 (million)
% 0.20/0.56 % (26248)------------------------------
% 0.20/0.56 % (26248)------------------------------
% 0.20/0.56 % (26228)Instruction limit reached!
% 0.20/0.56 % (26228)------------------------------
% 0.20/0.56 % (26228)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (26228)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (26228)Termination reason: Unknown
% 0.20/0.56 % (26228)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (26228)Memory used [KB]: 5884
% 0.20/0.56 % (26228)Time elapsed: 0.149 s
% 0.20/0.56 % (26228)Instructions burned: 26 (million)
% 0.20/0.56 % (26228)------------------------------
% 0.20/0.56 % (26228)------------------------------
% 0.20/0.56 % (26233)Instruction limit reached!
% 0.20/0.56 % (26233)------------------------------
% 0.20/0.56 % (26233)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (26233)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (26233)Termination reason: Unknown
% 0.20/0.56 % (26233)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (26233)Memory used [KB]: 5756
% 0.20/0.56 % (26233)Time elapsed: 0.160 s
% 0.20/0.56 % (26233)Instructions burned: 21 (million)
% 0.20/0.56 % (26233)------------------------------
% 0.20/0.56 % (26233)------------------------------
% 0.20/0.57 % (26241)Instruction limit reached!
% 0.20/0.57 % (26241)------------------------------
% 0.20/0.57 % (26241)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (26241)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (26241)Termination reason: Unknown
% 0.20/0.57 % (26241)Termination phase: Saturation
% 0.20/0.57
% 0.20/0.57 % (26241)Memory used [KB]: 5756
% 0.20/0.57 % (26241)Time elapsed: 0.159 s
% 0.20/0.57 % (26241)Instructions burned: 23 (million)
% 0.20/0.57 % (26241)------------------------------
% 0.20/0.57 % (26241)------------------------------
% 0.20/0.57 % (26242)First to succeed.
% 1.72/0.58 % (26230)Instruction limit reached!
% 1.72/0.58 % (26230)------------------------------
% 1.72/0.58 % (26230)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.72/0.58 % (26221)Instruction limit reached!
% 1.72/0.58 % (26221)------------------------------
% 1.72/0.58 % (26221)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.72/0.58 % (26221)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.72/0.58 % (26221)Termination reason: Unknown
% 1.72/0.58 % (26221)Termination phase: Saturation
% 1.72/0.58
% 1.72/0.58 % (26221)Memory used [KB]: 5756
% 1.72/0.58 % (26221)Time elapsed: 0.167 s
% 1.72/0.58 % (26221)Instructions burned: 34 (million)
% 1.72/0.58 % (26221)------------------------------
% 1.72/0.58 % (26221)------------------------------
% 1.72/0.58 % (26249)Instruction limit reached!
% 1.72/0.58 % (26249)------------------------------
% 1.72/0.58 % (26249)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.72/0.58 % (26249)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.72/0.58 % (26249)Termination reason: Unknown
% 1.72/0.58 % (26249)Termination phase: Saturation
% 1.72/0.58
% 1.72/0.58 % (26249)Memory used [KB]: 6268
% 1.72/0.58 % (26249)Time elapsed: 0.184 s
% 1.72/0.58 % (26249)Instructions burned: 41 (million)
% 1.72/0.58 % (26249)------------------------------
% 1.72/0.58 % (26249)------------------------------
% 1.72/0.58 % (26227)Instruction limit reached!
% 1.72/0.58 % (26227)------------------------------
% 1.72/0.58 % (26227)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.72/0.58 % (26227)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.72/0.58 % (26227)Termination reason: Unknown
% 1.72/0.58 % (26227)Termination phase: Saturation
% 1.72/0.58
% 1.72/0.58 % (26227)Memory used [KB]: 6012
% 1.72/0.58 % (26227)Time elapsed: 0.182 s
% 1.72/0.58 % (26227)Instructions burned: 37 (million)
% 1.72/0.58 % (26227)------------------------------
% 1.72/0.58 % (26227)------------------------------
% 1.72/0.58 % (26247)Instruction limit reached!
% 1.72/0.58 % (26247)------------------------------
% 1.72/0.58 % (26247)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.72/0.58 % (26247)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.72/0.58 % (26247)Termination reason: Unknown
% 1.72/0.58 % (26247)Termination phase: Saturation
% 1.72/0.58
% 1.72/0.58 % (26247)Memory used [KB]: 5756
% 1.72/0.58 % (26247)Time elapsed: 0.165 s
% 1.72/0.58 % (26247)Instructions burned: 22 (million)
% 1.72/0.58 % (26247)------------------------------
% 1.72/0.58 % (26247)------------------------------
% 1.72/0.59 % (26246)Instruction limit reached!
% 1.72/0.59 % (26246)------------------------------
% 1.72/0.59 % (26246)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.72/0.59 % (26230)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.72/0.59 % (26230)Termination reason: Unknown
% 1.72/0.59 % (26230)Termination phase: Saturation
% 1.72/0.59
% 1.72/0.59 % (26230)Memory used [KB]: 5884
% 1.72/0.59 % (26230)Time elapsed: 0.181 s
% 1.72/0.59 % (26230)Instructions burned: 35 (million)
% 1.72/0.59 % (26230)------------------------------
% 1.72/0.59 % (26230)------------------------------
% 1.91/0.60 % (26226)Instruction limit reached!
% 1.91/0.60 % (26226)------------------------------
% 1.91/0.60 % (26226)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.60 % (26226)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.60 % (26226)Termination reason: Unknown
% 1.91/0.60 % (26226)Termination phase: Saturation
% 1.91/0.60
% 1.91/0.60 % (26226)Memory used [KB]: 5884
% 1.91/0.60 % (26226)Time elapsed: 0.165 s
% 1.91/0.60 % (26226)Instructions burned: 32 (million)
% 1.91/0.60 % (26226)------------------------------
% 1.91/0.60 % (26226)------------------------------
% 1.91/0.60 % (26246)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.60 % (26246)Termination reason: Unknown
% 1.91/0.60 % (26246)Termination phase: Saturation
% 1.91/0.60
% 1.91/0.60 % (26246)Memory used [KB]: 6268
% 1.91/0.60 % (26246)Time elapsed: 0.193 s
% 1.91/0.60 % (26246)Instructions burned: 44 (million)
% 1.91/0.60 % (26246)------------------------------
% 1.91/0.60 % (26246)------------------------------
% 1.91/0.60 % (26242)Refutation found. Thanks to Tanya!
% 1.91/0.60 % SZS status Theorem for theBenchmark
% 1.91/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 1.91/0.60 % (26242)------------------------------
% 1.91/0.60 % (26242)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.60 % (26242)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.60 % (26242)Termination reason: Refutation
% 1.91/0.60
% 1.91/0.60 % (26242)Memory used [KB]: 1151
% 1.91/0.60 % (26242)Time elapsed: 0.115 s
% 1.91/0.60 % (26242)Instructions burned: 15 (million)
% 1.91/0.60 % (26242)------------------------------
% 1.91/0.60 % (26242)------------------------------
% 1.91/0.60 % (26219)Success in time 0.233 s
%------------------------------------------------------------------------------