TSTP Solution File: NUN085+2 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUN085+2 : TPTP v8.1.0. Released v7.3.0.
% 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 : n002.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 18:07:49 EDT 2022
% Result : Theorem 1.99s 0.62s
% Output : Refutation 1.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 16
% Syntax : Number of formulae : 53 ( 16 unt; 0 def)
% Number of atoms : 192 ( 52 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 202 ( 63 ~; 41 |; 87 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 147 ( 93 !; 54 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f632,plain,
$false,
inference(subsumption_resolution,[],[f611,f65]) ).
fof(f65,plain,
r1(sK3),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
( r1(sK3)
& sK2 = sK3
& r3(sK5,sK4,sK2)
& r1(sK5)
& r1(sK6)
& r2(sK6,sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6])],[f29,f34,f33,f32,f31,f30]) ).
fof(f30,plain,
( ? [X0] :
( ? [X1] :
( r1(X1)
& X0 = X1 )
& ? [X2] :
( ? [X3] :
( r3(X3,X2,X0)
& r1(X3) )
& ? [X4] :
( r1(X4)
& r2(X4,X2) ) ) )
=> ( ? [X1] :
( r1(X1)
& sK2 = X1 )
& ? [X2] :
( ? [X3] :
( r3(X3,X2,sK2)
& r1(X3) )
& ? [X4] :
( r1(X4)
& r2(X4,X2) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
( ? [X1] :
( r1(X1)
& sK2 = X1 )
=> ( r1(sK3)
& sK2 = sK3 ) ),
introduced(choice_axiom,[]) ).
fof(f32,plain,
( ? [X2] :
( ? [X3] :
( r3(X3,X2,sK2)
& r1(X3) )
& ? [X4] :
( r1(X4)
& r2(X4,X2) ) )
=> ( ? [X3] :
( r3(X3,sK4,sK2)
& r1(X3) )
& ? [X4] :
( r1(X4)
& r2(X4,sK4) ) ) ),
introduced(choice_axiom,[]) ).
fof(f33,plain,
( ? [X3] :
( r3(X3,sK4,sK2)
& r1(X3) )
=> ( r3(sK5,sK4,sK2)
& r1(sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f34,plain,
( ? [X4] :
( r1(X4)
& r2(X4,sK4) )
=> ( r1(sK6)
& r2(sK6,sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
? [X0] :
( ? [X1] :
( r1(X1)
& X0 = X1 )
& ? [X2] :
( ? [X3] :
( r3(X3,X2,X0)
& r1(X3) )
& ? [X4] :
( r1(X4)
& r2(X4,X2) ) ) ),
inference(rectify,[],[f22]) ).
fof(f22,plain,
? [X0] :
( ? [X1] :
( r1(X1)
& X0 = X1 )
& ? [X2] :
( ? [X4] :
( r3(X4,X2,X0)
& r1(X4) )
& ? [X3] :
( r1(X3)
& r2(X3,X2) ) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
~ ! [X0] :
( ! [X1] :
( X0 != X1
| ~ r1(X1) )
| ! [X2] :
( ! [X4] :
( ~ r3(X4,X2,X0)
| ~ r1(X4) )
| ! [X3] :
( ~ r1(X3)
| ~ r2(X3,X2) ) ) ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ! [X38] :
( ! [X16] :
( X16 != X38
| ~ r1(X16) )
| ! [X21] :
( ! [X15] :
( ~ r1(X15)
| ~ r2(X15,X21) )
| ! [X22] :
( ~ r1(X22)
| ~ r3(X22,X21,X38) ) ) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
! [X38] :
( ! [X16] :
( X16 != X38
| ~ r1(X16) )
| ! [X21] :
( ! [X15] :
( ~ r1(X15)
| ~ r2(X15,X21) )
| ! [X22] :
( ~ r1(X22)
| ~ r3(X22,X21,X38) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zeroplusoneidzero) ).
fof(f611,plain,
~ r1(sK3),
inference(superposition,[],[f101,f589]) ).
fof(f589,plain,
sK3 = sK13(sK6,sK5),
inference(resolution,[],[f578,f195]) ).
fof(f195,plain,
! [X2] : r3(X2,sK4,sK13(sK6,X2)),
inference(superposition,[],[f75,f188]) ).
fof(f188,plain,
! [X0] : sK4 = sK14(sK6,X0),
inference(resolution,[],[f181,f74]) ).
fof(f74,plain,
! [X0,X1] : r2(X0,sK14(X0,X1)),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( r2(sK12(X0,X1),sK11(X0,X1))
& r3(X1,X0,sK12(X0,X1))
& sK11(X0,X1) = sK13(X0,X1)
& r3(X1,sK14(X0,X1),sK13(X0,X1))
& r2(X0,sK14(X0,X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12,sK13,sK14])],[f19,f45,f44,f43,f42]) ).
fof(f42,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( r2(X3,X2)
& r3(X1,X0,X3) )
& ? [X4] :
( X2 = X4
& ? [X5] :
( r3(X1,X5,X4)
& r2(X0,X5) ) ) )
=> ( ? [X3] :
( r2(X3,sK11(X0,X1))
& r3(X1,X0,X3) )
& ? [X4] :
( sK11(X0,X1) = X4
& ? [X5] :
( r3(X1,X5,X4)
& r2(X0,X5) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
! [X0,X1] :
( ? [X3] :
( r2(X3,sK11(X0,X1))
& r3(X1,X0,X3) )
=> ( r2(sK12(X0,X1),sK11(X0,X1))
& r3(X1,X0,sK12(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
! [X0,X1] :
( ? [X4] :
( sK11(X0,X1) = X4
& ? [X5] :
( r3(X1,X5,X4)
& r2(X0,X5) ) )
=> ( sK11(X0,X1) = sK13(X0,X1)
& ? [X5] :
( r3(X1,X5,sK13(X0,X1))
& r2(X0,X5) ) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
! [X0,X1] :
( ? [X5] :
( r3(X1,X5,sK13(X0,X1))
& r2(X0,X5) )
=> ( r3(X1,sK14(X0,X1),sK13(X0,X1))
& r2(X0,sK14(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
! [X0,X1] :
? [X2] :
( ? [X3] :
( r2(X3,X2)
& r3(X1,X0,X3) )
& ? [X4] :
( X2 = X4
& ? [X5] :
( r3(X1,X5,X4)
& r2(X0,X5) ) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X14,X13] :
? [X15] :
( ? [X18] :
( r2(X18,X15)
& r3(X13,X14,X18) )
& ? [X16] :
( X15 = X16
& ? [X17] :
( r2(X14,X17)
& r3(X13,X17,X16) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1a) ).
fof(f181,plain,
! [X5] :
( ~ r2(sK6,X5)
| sK4 = X5 ),
inference(resolution,[],[f98,f60]) ).
fof(f60,plain,
r2(sK6,sK4),
inference(cnf_transformation,[],[f35]) ).
fof(f98,plain,
! [X2,X0,X1] :
( ~ r2(X0,X2)
| ~ r2(X0,X1)
| X1 = X2 ),
inference(superposition,[],[f52,f52]) ).
fof(f52,plain,
! [X2,X0] :
( sK0(X0) = X2
| ~ r2(X0,X2) ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X2] :
( ( sK0(X0) = X2
& r2(X0,X2) )
| ( sK0(X0) != X2
& ~ r2(X0,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f15,f23]) ).
fof(f23,plain,
! [X0] :
( ? [X1] :
! [X2] :
( ( X1 = X2
& r2(X0,X2) )
| ( X1 != X2
& ~ r2(X0,X2) ) )
=> ! [X2] :
( ( sK0(X0) = X2
& r2(X0,X2) )
| ( sK0(X0) != X2
& ~ r2(X0,X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
! [X0] :
? [X1] :
! [X2] :
( ( X1 = X2
& r2(X0,X2) )
| ( X1 != X2
& ~ r2(X0,X2) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2] :
? [X3] :
! [X4] :
( ( ~ r2(X2,X4)
& X3 != X4 )
| ( r2(X2,X4)
& X3 = X4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f75,plain,
! [X0,X1] : r3(X1,sK14(X0,X1),sK13(X0,X1)),
inference(cnf_transformation,[],[f46]) ).
fof(f578,plain,
! [X0] :
( ~ r3(sK5,sK4,X0)
| sK3 = X0 ),
inference(resolution,[],[f109,f82]) ).
fof(f82,plain,
r3(sK5,sK4,sK3),
inference(definition_unfolding,[],[f63,f64]) ).
fof(f64,plain,
sK2 = sK3,
inference(cnf_transformation,[],[f35]) ).
fof(f63,plain,
r3(sK5,sK4,sK2),
inference(cnf_transformation,[],[f35]) ).
fof(f109,plain,
! [X2,X3,X0,X1] :
( ~ r3(X1,X0,X3)
| ~ r3(X1,X0,X2)
| X2 = X3 ),
inference(superposition,[],[f59,f59]) ).
fof(f59,plain,
! [X3,X0,X1] :
( sK1(X0,X1) = X3
| ~ r3(X1,X0,X3) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1,X3] :
( ( sK1(X0,X1) = X3
& r3(X1,X0,X3) )
| ( ~ r3(X1,X0,X3)
& sK1(X0,X1) != X3 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f26,f27]) ).
fof(f27,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( ( X2 = X3
& r3(X1,X0,X3) )
| ( ~ r3(X1,X0,X3)
& X2 != X3 ) )
=> ! [X3] :
( ( sK1(X0,X1) = X3
& r3(X1,X0,X3) )
| ( ~ r3(X1,X0,X3)
& sK1(X0,X1) != X3 ) ) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
! [X0,X1] :
? [X2] :
! [X3] :
( ( X2 = X3
& r3(X1,X0,X3) )
| ( ~ r3(X1,X0,X3)
& X2 != X3 ) ),
inference(rectify,[],[f21]) ).
fof(f21,plain,
! [X1,X0] :
? [X2] :
! [X3] :
( ( X2 = X3
& r3(X0,X1,X3) )
| ( ~ r3(X0,X1,X3)
& X2 != X3 ) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X5,X6] :
? [X7] :
! [X8] :
( ( X7 != X8
& ~ r3(X5,X6,X8) )
| ( r3(X5,X6,X8)
& X7 = X8 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f101,plain,
! [X0,X1] : ~ r1(sK13(X0,X1)),
inference(resolution,[],[f83,f87]) ).
fof(f87,plain,
! [X2,X0] :
( ~ r2(X0,X2)
| ~ r1(X2) ),
inference(equality_resolution,[],[f55]) ).
fof(f55,plain,
! [X2,X0,X1] :
( ~ r1(X2)
| X1 != X2
| ~ r2(X0,X1) ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0,X1] :
( ! [X2] :
( ~ r1(X2)
| X1 != X2 )
| ~ r2(X0,X1) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X40,X41] :
( ! [X42] :
( ~ r1(X42)
| X41 != X42 )
| ~ r2(X40,X41) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7a) ).
fof(f83,plain,
! [X0,X1] : r2(sK12(X0,X1),sK13(X0,X1)),
inference(definition_unfolding,[],[f78,f76]) ).
fof(f76,plain,
! [X0,X1] : sK11(X0,X1) = sK13(X0,X1),
inference(cnf_transformation,[],[f46]) ).
fof(f78,plain,
! [X0,X1] : r2(sK12(X0,X1),sK11(X0,X1)),
inference(cnf_transformation,[],[f46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NUN085+2 : TPTP v8.1.0. Released v7.3.0.
% 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 : n002.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 10:03:29 EDT 2022
% 0.19/0.35 % CPUTime :
% 0.20/0.55 % (32570)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.56 % (32586)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 1.75/0.59 % (32587)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.75/0.59 % (32579)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.75/0.59 % (32578)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.75/0.59 % (32578)Instruction limit reached!
% 1.75/0.59 % (32578)------------------------------
% 1.75/0.59 % (32578)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.59 % (32578)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.59 % (32578)Termination reason: Unknown
% 1.75/0.59 % (32578)Termination phase: Saturation
% 1.75/0.59
% 1.75/0.59 % (32578)Memory used [KB]: 6012
% 1.75/0.59 % (32578)Time elapsed: 0.004 s
% 1.75/0.59 % (32578)Instructions burned: 3 (million)
% 1.75/0.59 % (32578)------------------------------
% 1.75/0.59 % (32578)------------------------------
% 1.75/0.60 % (32587)Refutation not found, incomplete strategy% (32587)------------------------------
% 1.75/0.60 % (32587)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.60 % (32566)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.75/0.60 % (32569)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.75/0.60 % (32573)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.75/0.60 % (32566)Instruction limit reached!
% 1.75/0.60 % (32566)------------------------------
% 1.75/0.60 % (32566)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.60 % (32566)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.60 % (32566)Termination reason: Unknown
% 1.75/0.60 % (32566)Termination phase: Saturation
% 1.75/0.60
% 1.75/0.60 % (32566)Memory used [KB]: 6012
% 1.75/0.60 % (32566)Time elapsed: 0.003 s
% 1.75/0.60 % (32566)Instructions burned: 3 (million)
% 1.75/0.60 % (32566)------------------------------
% 1.75/0.60 % (32566)------------------------------
% 1.75/0.60 % (32572)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.75/0.60 % (32579)Instruction limit reached!
% 1.75/0.60 % (32579)------------------------------
% 1.75/0.60 % (32579)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.60 % (32587)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.60 % (32587)Termination reason: Refutation not found, incomplete strategy
% 1.75/0.60
% 1.75/0.60 % (32587)Memory used [KB]: 1535
% 1.75/0.60 % (32587)Time elapsed: 0.100 s
% 1.75/0.60 % (32587)Instructions burned: 4 (million)
% 1.75/0.60 % (32587)------------------------------
% 1.75/0.60 % (32587)------------------------------
% 1.75/0.60 % (32571)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.99/0.60 % (32579)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.60 % (32579)Termination reason: Unknown
% 1.99/0.60 % (32579)Termination phase: Saturation
% 1.99/0.60
% 1.99/0.60 % (32579)Memory used [KB]: 6140
% 1.99/0.60 % (32579)Time elapsed: 0.102 s
% 1.99/0.60 % (32579)Instructions burned: 7 (million)
% 1.99/0.60 % (32579)------------------------------
% 1.99/0.60 % (32579)------------------------------
% 1.99/0.61 % (32571)Refutation not found, incomplete strategy% (32571)------------------------------
% 1.99/0.61 % (32571)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.61 % (32571)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.61 % (32571)Termination reason: Refutation not found, incomplete strategy
% 1.99/0.61
% 1.99/0.61 % (32571)Memory used [KB]: 6012
% 1.99/0.61 % (32571)Time elapsed: 0.117 s
% 1.99/0.61 % (32571)Instructions burned: 3 (million)
% 1.99/0.61 % (32571)------------------------------
% 1.99/0.61 % (32571)------------------------------
% 1.99/0.61 % (32568)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.99/0.61 % (32570)First to succeed.
% 1.99/0.61 % (32584)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 1.99/0.61 % (32565)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.99/0.62 % (32570)Refutation found. Thanks to Tanya!
% 1.99/0.62 % SZS status Theorem for theBenchmark
% 1.99/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 1.99/0.62 % (32570)------------------------------
% 1.99/0.62 % (32570)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.62 % (32570)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.62 % (32570)Termination reason: Refutation
% 1.99/0.62
% 1.99/0.62 % (32570)Memory used [KB]: 6268
% 1.99/0.62 % (32570)Time elapsed: 0.189 s
% 1.99/0.62 % (32570)Instructions burned: 32 (million)
% 1.99/0.62 % (32570)------------------------------
% 1.99/0.62 % (32570)------------------------------
% 1.99/0.62 % (32563)Success in time 0.256 s
%------------------------------------------------------------------------------