TSTP Solution File: GEO197+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO197+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : n026.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 16:12:14 EDT 2022
% Result : Theorem 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 8
% Syntax : Number of formulae : 53 ( 9 unt; 0 def)
% Number of atoms : 180 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 209 ( 82 ~; 84 |; 32 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 104 ( 92 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f193,plain,
$false,
inference(resolution,[],[f175,f67]) ).
fof(f67,plain,
convergent_lines(sK2,sK0),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
( convergent_lines(sK1,sK2)
& ~ apart_point_and_line(intersection_point(sK1,sK0),sK2)
& convergent_lines(sK1,sK0)
& apart_point_and_line(intersection_point(sK2,sK0),sK1)
& convergent_lines(sK2,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f51,f52]) ).
fof(f52,plain,
( ? [X0,X1,X2] :
( convergent_lines(X1,X2)
& ~ apart_point_and_line(intersection_point(X1,X0),X2)
& convergent_lines(X1,X0)
& apart_point_and_line(intersection_point(X2,X0),X1)
& convergent_lines(X2,X0) )
=> ( convergent_lines(sK1,sK2)
& ~ apart_point_and_line(intersection_point(sK1,sK0),sK2)
& convergent_lines(sK1,sK0)
& apart_point_and_line(intersection_point(sK2,sK0),sK1)
& convergent_lines(sK2,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f51,plain,
? [X0,X1,X2] :
( convergent_lines(X1,X2)
& ~ apart_point_and_line(intersection_point(X1,X0),X2)
& convergent_lines(X1,X0)
& apart_point_and_line(intersection_point(X2,X0),X1)
& convergent_lines(X2,X0) ),
inference(rectify,[],[f33]) ).
fof(f33,plain,
? [X1,X0,X2] :
( convergent_lines(X0,X2)
& ~ apart_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X0,X1)
& apart_point_and_line(intersection_point(X2,X1),X0)
& convergent_lines(X2,X1) ),
inference(flattening,[],[f32]) ).
fof(f32,plain,
? [X0,X1,X2] :
( apart_point_and_line(intersection_point(X2,X1),X0)
& convergent_lines(X2,X1)
& ~ apart_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X0,X2)
& convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,negated_conjecture,
~ ! [X0,X1,X2] :
( ( convergent_lines(X2,X1)
& ~ apart_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X0,X2)
& convergent_lines(X0,X1) )
=> ~ apart_point_and_line(intersection_point(X2,X1),X0) ),
inference(negated_conjecture,[],[f15]) ).
fof(f15,conjecture,
! [X0,X1,X2] :
( ( convergent_lines(X2,X1)
& ~ apart_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X0,X2)
& convergent_lines(X0,X1) )
=> ~ apart_point_and_line(intersection_point(X2,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f175,plain,
~ convergent_lines(sK2,sK0),
inference(resolution,[],[f167,f81]) ).
fof(f81,plain,
! [X0,X1] :
( distinct_lines(X1,X0)
| ~ convergent_lines(X0,X1) ),
inference(resolution,[],[f62,f65]) ).
fof(f65,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart3) ).
fof(f62,plain,
! [X2,X0,X1] :
( convergent_lines(X2,X1)
| ~ convergent_lines(X2,X0)
| distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1,X2] :
( distinct_lines(X0,X1)
| ~ convergent_lines(X2,X0)
| convergent_lines(X2,X1) ),
inference(rectify,[],[f41]) ).
fof(f41,plain,
! [X1,X2,X0] :
( distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1)
| convergent_lines(X0,X2) ),
inference(flattening,[],[f40]) ).
fof(f40,plain,
! [X1,X2,X0] :
( distinct_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X1,X2,X0] :
( convergent_lines(X0,X1)
=> ( distinct_lines(X1,X2)
| convergent_lines(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq3) ).
fof(f167,plain,
~ distinct_lines(sK0,sK2),
inference(resolution,[],[f164,f69]) ).
fof(f69,plain,
convergent_lines(sK1,sK0),
inference(cnf_transformation,[],[f53]) ).
fof(f164,plain,
( ~ convergent_lines(sK1,sK0)
| ~ distinct_lines(sK0,sK2) ),
inference(resolution,[],[f148,f67]) ).
fof(f148,plain,
( ~ convergent_lines(sK2,sK0)
| ~ distinct_lines(sK0,sK2)
| ~ convergent_lines(sK1,sK0) ),
inference(resolution,[],[f147,f68]) ).
fof(f68,plain,
apart_point_and_line(intersection_point(sK2,sK0),sK1),
inference(cnf_transformation,[],[f53]) ).
fof(f147,plain,
( ~ apart_point_and_line(intersection_point(sK2,sK0),sK1)
| ~ convergent_lines(sK2,sK0)
| ~ distinct_lines(sK0,sK2)
| ~ convergent_lines(sK1,sK0) ),
inference(duplicate_literal_removal,[],[f141]) ).
fof(f141,plain,
( ~ apart_point_and_line(intersection_point(sK2,sK0),sK1)
| ~ convergent_lines(sK1,sK0)
| ~ distinct_lines(sK0,sK2)
| ~ convergent_lines(sK2,sK0)
| ~ convergent_lines(sK1,sK0) ),
inference(resolution,[],[f112,f55]) ).
fof(f55,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X1,X0),X1)
| ~ convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1] :
( ~ convergent_lines(X1,X0)
| ~ apart_point_and_line(intersection_point(X1,X0),X1) ),
inference(rectify,[],[f38]) ).
fof(f38,plain,
! [X1,X0] :
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
=> ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci3) ).
fof(f112,plain,
! [X0] :
( apart_point_and_line(intersection_point(sK1,sK0),X0)
| ~ convergent_lines(sK1,sK0)
| ~ distinct_lines(sK0,sK2)
| ~ apart_point_and_line(intersection_point(sK2,sK0),X0)
| ~ convergent_lines(sK2,sK0) ),
inference(resolution,[],[f105,f72]) ).
fof(f72,plain,
! [X2,X0,X1] :
( distinct_points(X1,X2)
| ~ apart_point_and_line(X1,X0)
| apart_point_and_line(X2,X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1,X2] :
( distinct_points(X1,X2)
| apart_point_and_line(X2,X0)
| ~ apart_point_and_line(X1,X0) ),
inference(rectify,[],[f29]) ).
fof(f29,plain,
! [X2,X0,X1] :
( distinct_points(X0,X1)
| apart_point_and_line(X1,X2)
| ~ apart_point_and_line(X0,X2) ),
inference(flattening,[],[f28]) ).
fof(f28,plain,
! [X0,X2,X1] :
( apart_point_and_line(X1,X2)
| distinct_points(X0,X1)
| ~ apart_point_and_line(X0,X2) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X2,X1] :
( apart_point_and_line(X0,X2)
=> ( apart_point_and_line(X1,X2)
| distinct_points(X0,X1) ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X0,X2,X1] :
( apart_point_and_line(X0,X1)
=> ( apart_point_and_line(X2,X1)
| distinct_points(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq1) ).
fof(f105,plain,
( ~ distinct_points(intersection_point(sK2,sK0),intersection_point(sK1,sK0))
| ~ distinct_lines(sK0,sK2)
| ~ convergent_lines(sK2,sK0)
| ~ convergent_lines(sK1,sK0) ),
inference(resolution,[],[f101,f60]) ).
fof(f60,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(rectify,[],[f25]) ).
fof(f25,plain,
! [X1,X0] :
( ~ apart_point_and_line(intersection_point(X1,X0),X0)
| ~ convergent_lines(X1,X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
! [X1,X0] :
( convergent_lines(X1,X0)
=> ~ apart_point_and_line(intersection_point(X1,X0),X0) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X1,X0] :
( convergent_lines(X0,X1)
=> ~ apart_point_and_line(intersection_point(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci4) ).
fof(f101,plain,
! [X1] :
( apart_point_and_line(intersection_point(sK1,sK0),X1)
| ~ distinct_lines(X1,sK2)
| ~ convergent_lines(sK2,X1)
| ~ distinct_points(intersection_point(sK2,X1),intersection_point(sK1,sK0)) ),
inference(duplicate_literal_removal,[],[f98]) ).
fof(f98,plain,
! [X1] :
( ~ convergent_lines(sK2,X1)
| ~ distinct_points(intersection_point(sK2,X1),intersection_point(sK1,sK0))
| ~ convergent_lines(sK2,X1)
| ~ distinct_lines(X1,sK2)
| apart_point_and_line(intersection_point(sK1,sK0),X1) ),
inference(resolution,[],[f94,f60]) ).
fof(f94,plain,
! [X2,X1] :
( apart_point_and_line(intersection_point(sK2,X1),X2)
| ~ distinct_lines(X2,sK2)
| ~ convergent_lines(sK2,X1)
| ~ distinct_points(intersection_point(sK2,X1),intersection_point(sK1,sK0))
| apart_point_and_line(intersection_point(sK1,sK0),X2) ),
inference(resolution,[],[f88,f55]) ).
fof(f88,plain,
! [X0,X1] :
( apart_point_and_line(X1,sK2)
| ~ distinct_points(X1,intersection_point(sK1,sK0))
| apart_point_and_line(intersection_point(sK1,sK0),X0)
| apart_point_and_line(X1,X0)
| ~ distinct_lines(X0,sK2) ),
inference(resolution,[],[f59,f70]) ).
fof(f70,plain,
~ apart_point_and_line(intersection_point(sK1,sK0),sK2),
inference(cnf_transformation,[],[f53]) ).
fof(f59,plain,
! [X2,X3,X0,X1] :
( apart_point_and_line(X3,X1)
| ~ distinct_lines(X2,X1)
| apart_point_and_line(X3,X2)
| ~ distinct_points(X0,X3)
| apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X2) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1,X2,X3] :
( ~ distinct_lines(X2,X1)
| ~ distinct_points(X0,X3)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X0,X1)
| apart_point_and_line(X3,X1) ),
inference(rectify,[],[f27]) ).
fof(f27,plain,
! [X3,X1,X2,X0] :
( ~ distinct_lines(X2,X1)
| ~ distinct_points(X3,X0)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X3,X1)
| apart_point_and_line(X0,X1) ),
inference(flattening,[],[f26]) ).
fof(f26,plain,
! [X3,X1,X0,X2] :
( apart_point_and_line(X0,X2)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X0,X1)
| apart_point_and_line(X3,X1)
| ~ distinct_points(X3,X0)
| ~ distinct_lines(X2,X1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
! [X3,X1,X0,X2] :
( ( distinct_points(X3,X0)
& distinct_lines(X2,X1) )
=> ( apart_point_and_line(X0,X2)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X0,X1)
| apart_point_and_line(X3,X1) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X1,X4,X3,X0] :
( ( distinct_points(X0,X1)
& distinct_lines(X3,X4) )
=> ( apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X4)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cu1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO197+1 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n026.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 : Mon Aug 29 21:43:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (25227)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)
% 0.19/0.50 % (25235)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)
% 0.19/0.50 % (25245)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)
% 0.19/0.50 % (25234)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.50 % (25229)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.50 % (25229)Instruction limit reached!
% 0.19/0.50 % (25229)------------------------------
% 0.19/0.50 % (25229)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (25229)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (25229)Termination reason: Unknown
% 0.19/0.50 % (25229)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (25229)Memory used [KB]: 5373
% 0.19/0.50 % (25229)Time elapsed: 0.109 s
% 0.19/0.50 % (25229)Instructions burned: 3 (million)
% 0.19/0.50 % (25229)------------------------------
% 0.19/0.50 % (25229)------------------------------
% 0.19/0.50 % (25231)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.50 % (25244)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)
% 0.19/0.51 % (25230)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)
% 0.19/0.51 % (25226)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)
% 0.19/0.51 % (25221)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)
% 0.19/0.51 TRYING [1]
% 0.19/0.51 TRYING [2]
% 0.19/0.51 TRYING [3]
% 0.19/0.51 TRYING [1]
% 0.19/0.51 TRYING [2]
% 0.19/0.51 TRYING [4]
% 0.19/0.51 TRYING [3]
% 0.19/0.51 % (25236)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)
% 0.19/0.51 TRYING [4]
% 0.19/0.51 TRYING [5]
% 0.19/0.52 TRYING [5]
% 0.19/0.52 % (25237)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)
% 0.19/0.52 % (25223)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)
% 0.19/0.52 % (25224)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)
% 0.19/0.52 % (25250)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.52 % (25222)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)
% 0.19/0.52 % (25251)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)
% 0.19/0.52 % (25222)Refutation not found, incomplete strategy% (25222)------------------------------
% 0.19/0.52 % (25222)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (25222)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (25222)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (25222)Memory used [KB]: 5373
% 0.19/0.53 % (25222)Time elapsed: 0.124 s
% 0.19/0.53 % (25222)Instructions burned: 2 (million)
% 0.19/0.53 % (25222)------------------------------
% 0.19/0.53 % (25222)------------------------------
% 0.19/0.53 % (25225)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (25232)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)
% 0.19/0.53 % (25230)First to succeed.
% 0.19/0.53 % (25230)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Theorem for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (25230)------------------------------
% 0.19/0.53 % (25230)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (25230)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (25230)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (25230)Memory used [KB]: 1023
% 0.19/0.53 % (25230)Time elapsed: 0.118 s
% 0.19/0.53 % (25230)Instructions burned: 6 (million)
% 0.19/0.53 % (25230)------------------------------
% 0.19/0.53 % (25230)------------------------------
% 0.19/0.53 % (25217)Success in time 0.181 s
%------------------------------------------------------------------------------