TSTP Solution File: GEO222+3 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO222+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n031.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 : Tue Apr 30 11:14:51 EDT 2024
% Result : Theorem 0.20s 0.37s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 17
% Syntax : Number of formulae : 87 ( 25 unt; 0 def)
% Number of atoms : 201 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 186 ( 72 ~; 90 |; 10 &)
% ( 4 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 183 ( 179 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f414,plain,
$false,
inference(avatar_sat_refutation,[],[f397,f411,f413]) ).
fof(f413,plain,
~ spl3_2,
inference(avatar_contradiction_clause,[],[f412]) ).
fof(f412,plain,
( $false
| ~ spl3_2 ),
inference(resolution,[],[f396,f98]) ).
fof(f98,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart3) ).
fof(f396,plain,
( convergent_lines(sK1,sK1)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f394]) ).
fof(f394,plain,
( spl3_2
<=> convergent_lines(sK1,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f411,plain,
spl3_1,
inference(avatar_contradiction_clause,[],[f403]) ).
fof(f403,plain,
( $false
| spl3_1 ),
inference(resolution,[],[f399,f135]) ).
fof(f135,plain,
! [X0,X1] : convergent_lines(orthogonal_through_point(X0,X1),X0),
inference(resolution,[],[f103,f99]) ).
fof(f99,plain,
! [X0,X1] : ~ unorthogonal_lines(orthogonal_through_point(X1,X0),X1),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1] : ~ unorthogonal_lines(orthogonal_through_point(X1,X0),X1),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X8,X5] : ~ unorthogonal_lines(orthogonal_through_point(X5,X8),X5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ooc1) ).
fof(f103,plain,
! [X0,X1] :
( unorthogonal_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1] :
( unorthogonal_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X5,X6] :
( unorthogonal_lines(X5,X6)
| convergent_lines(X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',occu1) ).
fof(f399,plain,
( ~ convergent_lines(orthogonal_through_point(sK1,sK0),sK1)
| spl3_1 ),
inference(resolution,[],[f392,f195]) ).
fof(f195,plain,
! [X0,X1] :
( convergent_lines(X1,X0)
| ~ convergent_lines(X0,X1) ),
inference(resolution,[],[f164,f181]) ).
fof(f181,plain,
! [X2,X0,X1] :
( ~ distinct_lines(X0,parallel_through_point(X1,X2))
| convergent_lines(X0,X1) ),
inference(resolution,[],[f167,f106]) ).
fof(f106,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
| ~ distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
| ~ distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1] :
( distinct_lines(X0,X1)
=> convergent_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
fof(f167,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,parallel_through_point(X1,X2))
| convergent_lines(X0,X1) ),
inference(resolution,[],[f121,f102]) ).
fof(f102,plain,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cp1) ).
fof(f121,plain,
! [X2,X0,X1] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f81]) ).
fof(f81,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X1,X2)
| convergent_lines(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f164,plain,
! [X2,X0,X1] :
( distinct_lines(X0,parallel_through_point(X1,X2))
| ~ convergent_lines(X1,X0) ),
inference(resolution,[],[f163,f120]) ).
fof(f120,plain,
! [X2,X0,X1] :
( convergent_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f79]) ).
fof(f79,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq3) ).
fof(f163,plain,
! [X0,X1] : ~ convergent_lines(X0,parallel_through_point(X0,X1)),
inference(resolution,[],[f160,f137]) ).
fof(f137,plain,
! [X0,X1] : ~ distinct_lines(parallel_through_point(X0,X1),X0),
inference(resolution,[],[f106,f102]) ).
fof(f160,plain,
! [X0,X1] :
( distinct_lines(X0,X1)
| ~ convergent_lines(X1,X0) ),
inference(resolution,[],[f120,f98]) ).
fof(f392,plain,
( ~ convergent_lines(sK1,orthogonal_through_point(sK1,sK0))
| spl3_1 ),
inference(avatar_component_clause,[],[f390]) ).
fof(f390,plain,
( spl3_1
<=> convergent_lines(sK1,orthogonal_through_point(sK1,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f397,plain,
( ~ spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f388,f394,f390]) ).
fof(f388,plain,
( convergent_lines(sK1,sK1)
| ~ convergent_lines(sK1,orthogonal_through_point(sK1,sK0)) ),
inference(resolution,[],[f200,f367]) ).
fof(f367,plain,
unorthogonal_lines(sK1,orthogonal_through_point(sK1,sK0)),
inference(resolution,[],[f345,f138]) ).
fof(f138,plain,
convergent_lines(sK1,orthogonal_through_point(orthogonal_through_point(sK1,sK0),sK0)),
inference(resolution,[],[f113,f95]) ).
fof(f95,plain,
~ parallel_lines(sK1,orthogonal_through_point(orthogonal_through_point(sK1,sK0),sK0)),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
~ parallel_lines(sK1,orthogonal_through_point(orthogonal_through_point(sK1,sK0),sK0)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f53,f93]) ).
fof(f93,plain,
( ? [X0,X1] : ~ parallel_lines(X1,orthogonal_through_point(orthogonal_through_point(X1,X0),X0))
=> ~ parallel_lines(sK1,orthogonal_through_point(orthogonal_through_point(sK1,sK0),sK0)) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
? [X0,X1] : ~ parallel_lines(X1,orthogonal_through_point(orthogonal_through_point(X1,X0),X0)),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
~ ! [X0,X1] : parallel_lines(X1,orthogonal_through_point(orthogonal_through_point(X1,X0),X0)),
inference(rectify,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X8,X5] : parallel_lines(X5,orthogonal_through_point(orthogonal_through_point(X5,X8),X8)),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X8,X5] : parallel_lines(X5,orthogonal_through_point(orthogonal_through_point(X5,X8),X8)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f113,plain,
! [X0,X1] :
( parallel_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0,X1] :
( parallel_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
=> parallel_lines(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f33]) ).
fof(f33,axiom,
! [X0,X1] :
( parallel_lines(X0,X1)
<=> ~ convergent_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a3) ).
fof(f345,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,orthogonal_through_point(X1,X2))
| unorthogonal_lines(X0,X1) ),
inference(resolution,[],[f344,f241]) ).
fof(f241,plain,
! [X0,X1] :
( distinct_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(resolution,[],[f187,f168]) ).
fof(f168,plain,
! [X2,X0,X1] :
( convergent_lines(X0,parallel_through_point(X1,X2))
| ~ convergent_lines(X0,X1) ),
inference(resolution,[],[f121,f163]) ).
fof(f187,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,parallel_through_point(X1,X2))
| distinct_lines(X0,X1) ),
inference(resolution,[],[f177,f160]) ).
fof(f177,plain,
! [X2,X0,X1] :
( ~ distinct_lines(parallel_through_point(X1,X2),X0)
| distinct_lines(X0,X1) ),
inference(resolution,[],[f161,f106]) ).
fof(f161,plain,
! [X2,X0,X1] :
( ~ convergent_lines(parallel_through_point(X1,X2),X0)
| distinct_lines(X0,X1) ),
inference(resolution,[],[f120,f102]) ).
fof(f344,plain,
! [X2,X0,X1] :
( ~ distinct_lines(X0,orthogonal_through_point(X1,X2))
| unorthogonal_lines(X0,X1) ),
inference(resolution,[],[f308,f99]) ).
fof(f308,plain,
! [X2,X0,X1] :
( unorthogonal_lines(X1,X2)
| unorthogonal_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(resolution,[],[f299,f133]) ).
fof(f133,plain,
! [X2,X3,X1] :
( sP2(X2,X1)
| unorthogonal_lines(X1,X3)
| unorthogonal_lines(X2,X3) ),
inference(cnf_transformation,[],[f133_D]) ).
fof(f133_D,plain,
! [X1,X2] :
( ! [X3] :
( unorthogonal_lines(X1,X3)
| unorthogonal_lines(X2,X3) )
<=> ~ sP2(X2,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f299,plain,
! [X0,X1] :
( ~ sP2(X1,X0)
| ~ distinct_lines(X0,X1) ),
inference(resolution,[],[f257,f169]) ).
fof(f169,plain,
! [X0,X1] : ~ apart_point_and_line(X0,X1),
inference(resolution,[],[f165,f150]) ).
fof(f150,plain,
! [X2,X0,X1] :
( distinct_lines(X0,parallel_through_point(X1,X2))
| ~ apart_point_and_line(X2,X0) ),
inference(resolution,[],[f119,f100]) ).
fof(f100,plain,
! [X0,X1] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0,X1] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cp2) ).
fof(f119,plain,
! [X2,X0,X1] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f77]) ).
fof(f77,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1,X2] :
( apart_point_and_line(X0,X1)
=> ( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq2) ).
fof(f165,plain,
! [X0,X1] : ~ distinct_lines(X0,parallel_through_point(X0,X1)),
inference(resolution,[],[f163,f106]) ).
fof(f257,plain,
! [X2,X0,X1] :
( apart_point_and_line(X0,X1)
| ~ distinct_lines(X1,X2)
| ~ sP2(X2,X1) ),
inference(resolution,[],[f134,f169]) ).
fof(f134,plain,
! [X2,X0,X1] :
( apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1)
| ~ distinct_lines(X1,X2)
| ~ sP2(X2,X1) ),
inference(general_splitting,[],[f131,f133_D]) ).
fof(f131,plain,
! [X2,X3,X0,X1] :
( unorthogonal_lines(X2,X3)
| unorthogonal_lines(X1,X3)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1)
| ~ distinct_lines(X1,X2) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1,X2,X3] :
( unorthogonal_lines(X2,X3)
| unorthogonal_lines(X1,X3)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1)
| ~ distinct_lines(X1,X2) ),
inference(flattening,[],[f89]) ).
fof(f89,plain,
! [X0,X1,X2,X3] :
( unorthogonal_lines(X2,X3)
| unorthogonal_lines(X1,X3)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1)
| ~ distinct_lines(X1,X2) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1,X2,X3] :
( distinct_lines(X1,X2)
=> ( unorthogonal_lines(X2,X3)
| unorthogonal_lines(X1,X3)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1) ) ),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X8,X5,X6,X7] :
( distinct_lines(X5,X6)
=> ( unorthogonal_lines(X6,X7)
| unorthogonal_lines(X5,X7)
| apart_point_and_line(X8,X6)
| apart_point_and_line(X8,X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ouo1) ).
fof(f200,plain,
! [X2,X0,X1] :
( ~ unorthogonal_lines(X0,orthogonal_through_point(X1,X2))
| convergent_lines(X0,X1)
| ~ convergent_lines(X0,orthogonal_through_point(X1,X2)) ),
inference(resolution,[],[f125,f99]) ).
fof(f125,plain,
! [X2,X0,X1] :
( unorthogonal_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ unorthogonal_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0,X1,X2] :
( ( unorthogonal_lines(X1,X2)
& convergent_lines(X1,X2) )
| ( unorthogonal_lines(X0,X2)
& convergent_lines(X0,X2) )
| ~ unorthogonal_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f85]) ).
fof(f85,plain,
! [X0,X1,X2] :
( ( unorthogonal_lines(X1,X2)
& convergent_lines(X1,X2) )
| ( unorthogonal_lines(X0,X2)
& convergent_lines(X0,X2) )
| ~ unorthogonal_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1,X2] :
( ( unorthogonal_lines(X0,X1)
& convergent_lines(X0,X1) )
=> ( ( unorthogonal_lines(X1,X2)
& convergent_lines(X1,X2) )
| ( unorthogonal_lines(X0,X2)
& convergent_lines(X0,X2) ) ) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X5,X6,X7] :
( ( unorthogonal_lines(X5,X6)
& convergent_lines(X5,X6) )
=> ( ( unorthogonal_lines(X6,X7)
& convergent_lines(X6,X7) )
| ( unorthogonal_lines(X5,X7)
& convergent_lines(X5,X7) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oac1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO222+3 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n031.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Apr 30 06:22:14 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % (22427)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (22428)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.36 % (22430)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.14/0.36 % (22429)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.36 % (22432)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.36 % (22431)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.36 % (22433)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.36 % (22434)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [1,1]
% 0.14/0.37 TRYING [1,1]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 TRYING [2,1]
% 0.14/0.37 TRYING [2,1]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 TRYING [3,1]
% 0.20/0.37 TRYING [3,1]
% 0.20/0.37 TRYING [4,1]
% 0.20/0.37 TRYING [4,1]
% 0.20/0.37 TRYING [4]
% 0.20/0.37 TRYING [4]
% 0.20/0.37 TRYING [5,1]
% 0.20/0.37 % (22430)First to succeed.
% 0.20/0.37 TRYING [5,1]
% 0.20/0.37 % (22430)Refutation found. Thanks to Tanya!
% 0.20/0.37 % SZS status Theorem for theBenchmark
% 0.20/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.37 % (22430)------------------------------
% 0.20/0.37 % (22430)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.20/0.37 % (22430)Termination reason: Refutation
% 0.20/0.37
% 0.20/0.37 % (22430)Memory used [KB]: 1008
% 0.20/0.37 % (22430)Time elapsed: 0.010 s
% 0.20/0.37 % (22430)Instructions burned: 15 (million)
% 0.20/0.37 % (22430)------------------------------
% 0.20/0.37 % (22430)------------------------------
% 0.20/0.37 % (22427)Success in time 0.027 s
%------------------------------------------------------------------------------