TSTP Solution File: SYO607+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO607+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n019.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 18:23:25 EDT 2024
% Result : Theorem 0.15s 0.33s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 11
% Syntax : Number of formulae : 68 ( 5 unt; 0 def)
% Number of atoms : 290 ( 0 equ)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 312 ( 90 ~; 154 |; 58 &)
% ( 4 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 2 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-1 aty)
% Number of variables : 195 ( 132 !; 63 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f150,plain,
$false,
inference(resolution,[],[f149,f116]) ).
fof(f116,plain,
g_false_only(a,sK6(a)),
inference(resolution,[],[f107,f35]) ).
fof(f35,plain,
! [X7] : ~ g_true_only(X7,sK6(X7)),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
( ( ! [X1] : g_true_only(sK2,X1)
| ! [X2] :
( g_false_only(X2,sK3(X2))
| ! [X4] : ~ g_both(X2,X4) )
| ( g_false_only(sK4,sK5)
& g_false_only(a,sK4) )
| sP0 )
& ! [X7] : ~ g_true_only(X7,sK6(X7))
& ! [X9] :
( ! [X10] : ~ g_false_only(X9,X10)
| ~ g_false_only(a,X9) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6])],[f19,f24,f23,f22,f21,f20]) ).
fof(f20,plain,
( ? [X0] :
! [X1] : g_true_only(X0,X1)
=> ! [X1] : g_true_only(sK2,X1) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
! [X2] :
( ? [X3] : g_false_only(X2,X3)
=> g_false_only(X2,sK3(X2)) ),
introduced(choice_axiom,[]) ).
fof(f22,plain,
( ? [X5] :
( ? [X6] : g_false_only(X5,X6)
& g_false_only(a,X5) )
=> ( ? [X6] : g_false_only(sK4,X6)
& g_false_only(a,sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
( ? [X6] : g_false_only(sK4,X6)
=> g_false_only(sK4,sK5) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
! [X7] :
( ? [X8] : ~ g_true_only(X7,X8)
=> ~ g_true_only(X7,sK6(X7)) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
( ( ? [X0] :
! [X1] : g_true_only(X0,X1)
| ! [X2] :
( ? [X3] : g_false_only(X2,X3)
| ! [X4] : ~ g_both(X2,X4) )
| ? [X5] :
( ? [X6] : g_false_only(X5,X6)
& g_false_only(a,X5) )
| sP0 )
& ! [X7] :
? [X8] : ~ g_true_only(X7,X8)
& ! [X9] :
( ! [X10] : ~ g_false_only(X9,X10)
| ~ g_false_only(a,X9) ) ),
inference(rectify,[],[f14]) ).
fof(f14,plain,
( ( ? [X0] :
! [X1] : g_true_only(X0,X1)
| ! [X2] :
( ? [X3] : g_false_only(X2,X3)
| ! [X4] : ~ g_both(X2,X4) )
| ? [X5] :
( ? [X6] : g_false_only(X5,X6)
& g_false_only(a,X5) )
| sP0 )
& ! [X11] :
? [X12] : ~ g_true_only(X11,X12)
& ! [X13] :
( ! [X14] : ~ g_false_only(X13,X14)
| ~ g_false_only(a,X13) ) ),
inference(definition_folding,[],[f12,f13]) ).
fof(f13,plain,
( ! [X7] :
( ! [X8] : g_true_only(X7,X8)
| g_true_only(a,X7)
| ( ( ? [X9] : g_false_only(X7,X9)
| ! [X10] : ~ g_both(X7,X10) )
& ~ g_both(a,X7) ) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f12,plain,
( ( ? [X0] :
! [X1] : g_true_only(X0,X1)
| ! [X2] :
( ? [X3] : g_false_only(X2,X3)
| ! [X4] : ~ g_both(X2,X4) )
| ? [X5] :
( ? [X6] : g_false_only(X5,X6)
& g_false_only(a,X5) )
| ! [X7] :
( ! [X8] : g_true_only(X7,X8)
| g_true_only(a,X7)
| ( ( ? [X9] : g_false_only(X7,X9)
| ! [X10] : ~ g_both(X7,X10) )
& ~ g_both(a,X7) ) ) )
& ! [X11] :
? [X12] : ~ g_true_only(X11,X12)
& ! [X13] :
( ! [X14] : ~ g_false_only(X13,X14)
| ~ g_false_only(a,X13) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,plain,
~ ( ( ~ ? [X0] :
! [X1] : g_true_only(X0,X1)
& ? [X2] :
( ~ ? [X3] : g_false_only(X2,X3)
& ? [X4] : g_both(X2,X4) )
& ~ ? [X5] :
( ? [X6] : g_false_only(X5,X6)
& g_false_only(a,X5) )
& ? [X7] :
( ~ ! [X8] : g_true_only(X7,X8)
& ~ g_true_only(a,X7)
& ( ( ~ ? [X9] : g_false_only(X7,X9)
& ? [X10] : g_both(X7,X10) )
| g_both(a,X7) ) ) )
| ? [X11] :
! [X12] : g_true_only(X11,X12)
| ? [X13] :
( ? [X14] : g_false_only(X13,X14)
& g_false_only(a,X13) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ( ~ ? [X0] :
! [X1] : g_true_only(X0,X1)
& ? [X0] :
( ~ ? [X1] : g_false_only(X0,X1)
& ? [X1] : g_both(X0,X1) )
& ~ ? [X0] :
( ? [X1] : g_false_only(X0,X1)
& g_false_only(a,X0) )
& ? [X0] :
( ~ ! [X1] : g_true_only(X0,X1)
& ~ g_true_only(a,X0)
& ( ( ~ ? [X1] : g_false_only(X0,X1)
& ? [X1] : g_both(X0,X1) )
| g_both(a,X0) ) ) )
| ? [X0] :
! [X1] : g_true_only(X0,X1)
| ? [X0] :
( ? [X1] : g_false_only(X0,X1)
& g_false_only(a,X0) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ( ~ ? [X0] :
! [X1] : g_true_only(X0,X1)
& ? [X0] :
( ~ ? [X1] : g_false_only(X0,X1)
& ? [X1] : g_both(X0,X1) )
& ~ ? [X0] :
( ? [X1] : g_false_only(X0,X1)
& g_false_only(a,X0) )
& ? [X0] :
( ~ ! [X1] : g_true_only(X0,X1)
& ~ g_true_only(a,X0)
& ( ( ~ ? [X1] : g_false_only(X0,X1)
& ? [X1] : g_both(X0,X1) )
| g_both(a,X0) ) ) )
| ? [X0] :
! [X1] : g_true_only(X0,X1)
| ? [X0] :
( ? [X1] : g_false_only(X0,X1)
& g_false_only(a,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nc6) ).
fof(f107,plain,
! [X0] :
( g_true_only(a,X0)
| g_false_only(a,X0) ),
inference(resolution,[],[f104,f35]) ).
fof(f104,plain,
! [X0,X1] :
( g_true_only(a,X0)
| g_true_only(X0,X1)
| g_false_only(a,X0) ),
inference(duplicate_literal_removal,[],[f103]) ).
fof(f103,plain,
! [X0,X1] :
( g_true_only(a,X0)
| g_true_only(X0,X1)
| g_false_only(a,X0)
| g_true_only(a,X0) ),
inference(resolution,[],[f102,f38]) ).
fof(f38,plain,
! [X0,X1] :
( g_both(X0,X1)
| g_false_only(X0,X1)
| g_true_only(X0,X1) ),
inference(cnf_transformation,[],[f8]) ).
fof(f8,plain,
! [X0,X1] :
( g_false_only(X0,X1)
| g_both(X0,X1)
| g_true_only(X0,X1) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X2,X3] :
( g_false_only(X2,X3)
| g_both(X2,X3)
| g_true_only(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exhaustion_g) ).
fof(f102,plain,
! [X0,X1] :
( ~ g_both(a,X0)
| g_true_only(a,X0)
| g_true_only(X0,X1) ),
inference(subsumption_resolution,[],[f32,f100]) ).
fof(f100,plain,
sP0,
inference(subsumption_resolution,[],[f99,f95]) ).
fof(f95,plain,
! [X0] :
( ~ g_false_only(a,X0)
| sP0 ),
inference(subsumption_resolution,[],[f92,f34]) ).
fof(f34,plain,
! [X10,X9] :
( ~ g_false_only(X9,X10)
| ~ g_false_only(a,X9) ),
inference(cnf_transformation,[],[f25]) ).
fof(f92,plain,
! [X0] :
( g_false_only(X0,sK3(X0))
| sP0
| ~ g_false_only(a,X0) ),
inference(resolution,[],[f87,f34]) ).
fof(f87,plain,
! [X0] :
( g_false_only(X0,sK6(X0))
| g_false_only(X0,sK3(X0))
| sP0 ),
inference(resolution,[],[f83,f35]) ).
fof(f83,plain,
! [X0,X1] :
( g_true_only(X0,X1)
| g_false_only(X0,sK3(X0))
| g_false_only(X0,X1)
| sP0 ),
inference(resolution,[],[f79,f35]) ).
fof(f79,plain,
! [X2,X0,X1] :
( g_true_only(X0,X1)
| g_true_only(sK2,X2)
| g_false_only(X0,sK3(X0))
| g_false_only(X0,X1)
| sP0 ),
inference(subsumption_resolution,[],[f49,f70]) ).
fof(f70,plain,
( ~ g_false_only(a,sK4)
| sP0 ),
inference(resolution,[],[f68,f34]) ).
fof(f68,plain,
( g_false_only(sK4,sK5)
| sP0 ),
inference(subsumption_resolution,[],[f67,f65]) ).
fof(f65,plain,
! [X0] :
( ~ g_false_only(a,X0)
| sP0
| g_false_only(sK4,sK5) ),
inference(subsumption_resolution,[],[f64,f34]) ).
fof(f64,plain,
! [X0] :
( g_false_only(X0,sK3(X0))
| g_false_only(sK4,sK5)
| sP0
| ~ g_false_only(a,X0) ),
inference(resolution,[],[f61,f34]) ).
fof(f61,plain,
! [X0] :
( g_false_only(X0,sK6(X0))
| g_false_only(X0,sK3(X0))
| g_false_only(sK4,sK5)
| sP0 ),
inference(resolution,[],[f58,f35]) ).
fof(f58,plain,
! [X0,X1] :
( g_true_only(X0,X1)
| g_false_only(X0,sK3(X0))
| g_false_only(X0,X1)
| g_false_only(sK4,sK5)
| sP0 ),
inference(resolution,[],[f48,f35]) ).
fof(f48,plain,
! [X2,X0,X1] :
( g_true_only(X0,X1)
| g_true_only(sK2,X2)
| g_false_only(X0,sK3(X0))
| g_false_only(X0,X1)
| g_false_only(sK4,sK5)
| sP0 ),
inference(resolution,[],[f38,f37]) ).
fof(f37,plain,
! [X2,X1,X4] :
( ~ g_both(X2,X4)
| g_false_only(X2,sK3(X2))
| g_true_only(sK2,X1)
| g_false_only(sK4,sK5)
| sP0 ),
inference(cnf_transformation,[],[f25]) ).
fof(f67,plain,
( sP0
| g_false_only(sK4,sK5)
| g_false_only(a,sK3(a)) ),
inference(duplicate_literal_removal,[],[f66]) ).
fof(f66,plain,
( sP0
| g_false_only(sK4,sK5)
| g_false_only(a,sK3(a))
| g_false_only(sK4,sK5)
| sP0 ),
inference(resolution,[],[f65,f61]) ).
fof(f49,plain,
! [X2,X0,X1] :
( g_false_only(X0,X1)
| g_true_only(X0,X1)
| g_false_only(X0,sK3(X0))
| g_true_only(sK2,X2)
| g_false_only(a,sK4)
| sP0 ),
inference(resolution,[],[f38,f36]) ).
fof(f36,plain,
! [X2,X1,X4] :
( ~ g_both(X2,X4)
| g_false_only(X2,sK3(X2))
| g_true_only(sK2,X1)
| g_false_only(a,sK4)
| sP0 ),
inference(cnf_transformation,[],[f25]) ).
fof(f99,plain,
( sP0
| g_false_only(a,sK3(a)) ),
inference(duplicate_literal_removal,[],[f96]) ).
fof(f96,plain,
( sP0
| g_false_only(a,sK3(a))
| sP0 ),
inference(resolution,[],[f95,f87]) ).
fof(f32,plain,
! [X0,X1] :
( g_true_only(X0,X1)
| g_true_only(a,X0)
| ~ g_both(a,X0)
| ~ sP0 ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
( ! [X0] :
( ! [X1] : g_true_only(X0,X1)
| g_true_only(a,X0)
| ( ( g_false_only(X0,sK1(X0))
| ! [X3] : ~ g_both(X0,X3) )
& ~ g_both(a,X0) ) )
| ~ sP0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f16,f17]) ).
fof(f17,plain,
! [X0] :
( ? [X2] : g_false_only(X0,X2)
=> g_false_only(X0,sK1(X0)) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
( ! [X0] :
( ! [X1] : g_true_only(X0,X1)
| g_true_only(a,X0)
| ( ( ? [X2] : g_false_only(X0,X2)
| ! [X3] : ~ g_both(X0,X3) )
& ~ g_both(a,X0) ) )
| ~ sP0 ),
inference(rectify,[],[f15]) ).
fof(f15,plain,
( ! [X7] :
( ! [X8] : g_true_only(X7,X8)
| g_true_only(a,X7)
| ( ( ? [X9] : g_false_only(X7,X9)
| ! [X10] : ~ g_both(X7,X10) )
& ~ g_both(a,X7) ) )
| ~ sP0 ),
inference(nnf_transformation,[],[f13]) ).
fof(f149,plain,
! [X0] : ~ g_false_only(a,X0),
inference(subsumption_resolution,[],[f148,f34]) ).
fof(f148,plain,
! [X0] :
( g_false_only(X0,sK6(X0))
| ~ g_false_only(a,X0) ),
inference(subsumption_resolution,[],[f147,f34]) ).
fof(f147,plain,
! [X0] :
( g_false_only(X0,sK1(X0))
| g_false_only(X0,sK6(X0))
| ~ g_false_only(a,X0) ),
inference(resolution,[],[f144,f46]) ).
fof(f46,plain,
! [X0,X1] :
( ~ g_true(X0,X1)
| ~ g_false_only(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1] :
( ( g_false_only(X0,X1)
| g_true(X0,X1)
| ~ g_false(X0,X1) )
& ( ( ~ g_true(X0,X1)
& g_false(X0,X1) )
| ~ g_false_only(X0,X1) ) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
! [X0,X1] :
( ( g_false_only(X0,X1)
| g_true(X0,X1)
| ~ g_false(X0,X1) )
& ( ( ~ g_true(X0,X1)
& g_false(X0,X1) )
| ~ g_false_only(X0,X1) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0,X1] :
( g_false_only(X0,X1)
<=> ( ~ g_true(X0,X1)
& g_false(X0,X1) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X2,X3] :
( g_false_only(X2,X3)
<=> ( ~ g_true(X2,X3)
& g_false(X2,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',false_only_g) ).
fof(f144,plain,
! [X0] :
( g_true(a,X0)
| g_false_only(X0,sK1(X0))
| g_false_only(X0,sK6(X0)) ),
inference(resolution,[],[f139,f42]) ).
fof(f42,plain,
! [X0,X1] :
( ~ g_true_only(X0,X1)
| g_true(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1] :
( ( g_true_only(X0,X1)
| g_false(X0,X1)
| ~ g_true(X0,X1) )
& ( ( ~ g_false(X0,X1)
& g_true(X0,X1) )
| ~ g_true_only(X0,X1) ) ),
inference(flattening,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( ( g_true_only(X0,X1)
| g_false(X0,X1)
| ~ g_true(X0,X1) )
& ( ( ~ g_false(X0,X1)
& g_true(X0,X1) )
| ~ g_true_only(X0,X1) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,plain,
! [X0,X1] :
( g_true_only(X0,X1)
<=> ( ~ g_false(X0,X1)
& g_true(X0,X1) ) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X2,X3] :
( g_true_only(X2,X3)
<=> ( ~ g_false(X2,X3)
& g_true(X2,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',true_only_g) ).
fof(f139,plain,
! [X0] :
( g_true_only(a,X0)
| g_false_only(X0,sK6(X0))
| g_false_only(X0,sK1(X0)) ),
inference(resolution,[],[f128,f35]) ).
fof(f128,plain,
! [X0,X1] :
( g_true_only(a,X0)
| g_true_only(X0,X1)
| g_false_only(X0,X1)
| g_false_only(X0,sK1(X0)) ),
inference(resolution,[],[f125,f35]) ).
fof(f125,plain,
! [X2,X0,X1] :
( g_true_only(a,X0)
| g_true_only(X0,X1)
| g_true_only(X0,X2)
| g_false_only(X0,X2)
| g_false_only(X0,sK1(X0)) ),
inference(resolution,[],[f112,f38]) ).
fof(f112,plain,
! [X3,X0,X1] :
( ~ g_both(X0,X3)
| g_true_only(a,X0)
| g_false_only(X0,sK1(X0))
| g_true_only(X0,X1) ),
inference(subsumption_resolution,[],[f33,f100]) ).
fof(f33,plain,
! [X3,X0,X1] :
( g_true_only(X0,X1)
| g_true_only(a,X0)
| g_false_only(X0,sK1(X0))
| ~ g_both(X0,X3)
| ~ sP0 ),
inference(cnf_transformation,[],[f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SYO607+1 : TPTP v8.1.2. Released v7.0.0.
% 0.09/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.30 % Computer : n019.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue Apr 30 00:29:44 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.10/0.31 % (19086)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.32 % (19093)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)
% 0.15/0.32 % (19092)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.32 % (19091)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.32 % (19088)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.32 % (19087)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.32 % (19089)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)
% 0.15/0.32 % (19090)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.32 TRYING [1]
% 0.15/0.32 TRYING [1]
% 0.15/0.32 TRYING [2]
% 0.15/0.32 TRYING [2]
% 0.15/0.32 TRYING [1]
% 0.15/0.32 TRYING [3]
% 0.15/0.32 TRYING [3]
% 0.15/0.32 TRYING [1]
% 0.15/0.32 TRYING [2]
% 0.15/0.32 % (19091)First to succeed.
% 0.15/0.32 TRYING [2]
% 0.15/0.32 TRYING [4]
% 0.15/0.32 TRYING [4]
% 0.15/0.33 TRYING [3]
% 0.15/0.33 TRYING [3]
% 0.15/0.33 % (19092)Also succeeded, but the first one will report.
% 0.15/0.33 % (19091)Refutation found. Thanks to Tanya!
% 0.15/0.33 % SZS status Theorem for theBenchmark
% 0.15/0.33 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.33 % (19091)------------------------------
% 0.15/0.33 % (19091)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.33 % (19091)Termination reason: Refutation
% 0.15/0.33
% 0.15/0.33 % (19091)Memory used [KB]: 766
% 0.15/0.33 % (19091)Time elapsed: 0.005 s
% 0.15/0.33 % (19091)Instructions burned: 8 (million)
% 0.15/0.33 % (19091)------------------------------
% 0.15/0.33 % (19091)------------------------------
% 0.15/0.33 % (19086)Success in time 0.009 s
%------------------------------------------------------------------------------