TSTP Solution File: GRP551-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP551-1 : TPTP v8.1.0. Released v2.6.0.
% 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 : n009.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 16:22:50 EDT 2022
% Result : Unsatisfiable 0.19s 0.58s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 11
% Syntax : Number of formulae : 60 ( 60 unt; 0 def)
% Number of atoms : 60 ( 59 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 38 ( 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2284,plain,
$false,
inference(subsumption_resolution,[],[f2283,f14]) ).
fof(f14,plain,
sF6 != sF3,
inference(definition_folding,[],[f6,f13,f7,f12,f11,f10,f9,f8,f7]) ).
fof(f8,plain,
sF1 = divide(b3,sF0),
introduced(function_definition,[]) ).
fof(f9,plain,
divide(identity,sF1) = sF2,
introduced(function_definition,[]) ).
fof(f10,plain,
sF3 = divide(a3,sF2),
introduced(function_definition,[]) ).
fof(f11,plain,
sF4 = divide(identity,b3),
introduced(function_definition,[]) ).
fof(f12,plain,
sF5 = divide(a3,sF4),
introduced(function_definition,[]) ).
fof(f7,plain,
divide(identity,c3) = sF0,
introduced(function_definition,[]) ).
fof(f13,plain,
sF6 = divide(sF5,sF0),
introduced(function_definition,[]) ).
fof(f6,plain,
divide(a3,divide(identity,divide(b3,divide(identity,c3)))) != divide(divide(a3,divide(identity,b3)),divide(identity,c3)),
inference(definition_unfolding,[],[f5,f2,f2,f2,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f5,axiom,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_3) ).
fof(f2283,plain,
sF6 = sF3,
inference(forward_demodulation,[],[f2267,f19]) ).
fof(f19,plain,
! [X0,X1] : divide(divide(identity,X0),divide(divide(identity,X1),X0)) = X1,
inference(superposition,[],[f1,f4]) ).
fof(f4,axiom,
! [X0] : identity = divide(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(identity,X0),divide(divide(divide(X1,X0),X2),X1)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2267,plain,
! [X3] : sF6 = divide(divide(identity,X3),divide(divide(identity,sF3),X3)),
inference(superposition,[],[f19,f2241]) ).
fof(f2241,plain,
divide(identity,sF6) = divide(identity,sF3),
inference(forward_demodulation,[],[f2240,f478]) ).
fof(f478,plain,
divide(sF2,a3) = divide(identity,sF3),
inference(superposition,[],[f193,f378]) ).
fof(f378,plain,
sF3 = divide(identity,divide(sF2,a3)),
inference(superposition,[],[f223,f198]) ).
fof(f198,plain,
divide(a3,sF3) = sF2,
inference(forward_demodulation,[],[f158,f187]) ).
fof(f187,plain,
! [X0] : divide(X0,identity) = X0,
inference(forward_demodulation,[],[f144,f4]) ).
fof(f144,plain,
! [X0] : divide(X0,divide(identity,identity)) = X0,
inference(superposition,[],[f102,f4]) ).
fof(f102,plain,
! [X3,X4] : divide(X3,divide(divide(X3,X4),identity)) = X4,
inference(superposition,[],[f1,f44]) ).
fof(f44,plain,
! [X0] : divide(identity,divide(divide(sF0,X0),sF0)) = X0,
inference(forward_demodulation,[],[f42,f4]) ).
fof(f42,plain,
! [X0] : divide(divide(identity,identity),divide(divide(sF0,X0),sF0)) = X0,
inference(superposition,[],[f1,f40]) ).
fof(f40,plain,
sF0 = divide(sF0,identity),
inference(forward_demodulation,[],[f38,f4]) ).
fof(f38,plain,
sF0 = divide(sF0,divide(identity,identity)),
inference(superposition,[],[f20,f4]) ).
fof(f20,plain,
! [X2] : divide(sF0,divide(divide(sF0,X2),identity)) = X2,
inference(superposition,[],[f1,f7]) ).
fof(f158,plain,
divide(a3,divide(sF3,identity)) = sF2,
inference(superposition,[],[f102,f10]) ).
fof(f223,plain,
! [X2,X1] : divide(identity,divide(divide(X1,X2),X1)) = X2,
inference(forward_demodulation,[],[f215,f4]) ).
fof(f215,plain,
! [X2,X1] : divide(divide(identity,identity),divide(divide(X1,X2),X1)) = X2,
inference(superposition,[],[f1,f187]) ).
fof(f193,plain,
! [X3,X5] : divide(X3,divide(X3,X5)) = X5,
inference(forward_demodulation,[],[f192,f102]) ).
fof(f192,plain,
! [X3,X5] : divide(X3,divide(divide(identity,divide(divide(identity,X3),identity)),X5)) = X5,
inference(forward_demodulation,[],[f191,f187]) ).
fof(f191,plain,
! [X3,X5] : divide(X3,divide(divide(identity,divide(divide(identity,X3),identity)),divide(X5,identity))) = X5,
inference(forward_demodulation,[],[f172,f28]) ).
fof(f28,plain,
! [X2,X0,X1] : divide(divide(divide(X1,X0),X2),X1) = divide(divide(identity,X0),divide(X2,identity)),
inference(superposition,[],[f1,f1]) ).
fof(f172,plain,
! [X3,X4,X5] : divide(X3,divide(divide(divide(X4,divide(divide(identity,X3),identity)),X5),X4)) = X5,
inference(superposition,[],[f1,f102]) ).
fof(f2240,plain,
divide(identity,sF6) = divide(sF2,a3),
inference(forward_demodulation,[],[f2215,f501]) ).
fof(f501,plain,
a3 = divide(sF5,b3),
inference(superposition,[],[f193,f491]) ).
fof(f491,plain,
b3 = divide(sF5,a3),
inference(forward_demodulation,[],[f488,f183]) ).
fof(f183,plain,
b3 = divide(identity,sF4),
inference(forward_demodulation,[],[f154,f57]) ).
fof(f57,plain,
sF4 = divide(sF4,identity),
inference(forward_demodulation,[],[f55,f4]) ).
fof(f55,plain,
sF4 = divide(sF4,divide(identity,identity)),
inference(superposition,[],[f22,f4]) ).
fof(f22,plain,
! [X4] : divide(sF4,divide(divide(sF4,X4),identity)) = X4,
inference(superposition,[],[f1,f11]) ).
fof(f154,plain,
b3 = divide(identity,divide(sF4,identity)),
inference(superposition,[],[f102,f11]) ).
fof(f488,plain,
divide(sF5,a3) = divide(identity,sF4),
inference(superposition,[],[f193,f379]) ).
fof(f379,plain,
sF4 = divide(identity,divide(sF5,a3)),
inference(superposition,[],[f223,f12]) ).
fof(f2215,plain,
divide(identity,sF6) = divide(sF2,divide(sF5,b3)),
inference(superposition,[],[f246,f733]) ).
fof(f733,plain,
sF5 = divide(sF0,divide(identity,sF6)),
inference(forward_demodulation,[],[f732,f4]) ).
fof(f732,plain,
sF5 = divide(sF0,divide(divide(identity,identity),sF6)),
inference(forward_demodulation,[],[f728,f638]) ).
fof(f638,plain,
! [X8,X9] : divide(divide(identity,X8),X9) = divide(divide(identity,X9),X8),
inference(superposition,[],[f193,f19]) ).
fof(f728,plain,
sF5 = divide(sF0,divide(divide(identity,sF6),identity)),
inference(superposition,[],[f102,f577]) ).
fof(f577,plain,
divide(identity,sF6) = divide(sF0,sF5),
inference(superposition,[],[f193,f386]) ).
fof(f386,plain,
sF6 = divide(identity,divide(sF0,sF5)),
inference(superposition,[],[f223,f251]) ).
fof(f251,plain,
sF0 = divide(sF5,sF6),
inference(superposition,[],[f170,f187]) ).
fof(f170,plain,
sF0 = divide(sF5,divide(sF6,identity)),
inference(superposition,[],[f102,f13]) ).
fof(f246,plain,
! [X0] : divide(sF2,divide(divide(sF0,X0),b3)) = X0,
inference(forward_demodulation,[],[f245,f9]) ).
fof(f245,plain,
! [X0] : divide(divide(identity,sF1),divide(divide(sF0,X0),b3)) = X0,
inference(forward_demodulation,[],[f242,f187]) ).
fof(f242,plain,
! [X0] : divide(divide(identity,divide(sF1,identity)),divide(divide(sF0,X0),b3)) = X0,
inference(superposition,[],[f1,f160]) ).
fof(f160,plain,
sF0 = divide(b3,divide(sF1,identity)),
inference(superposition,[],[f102,f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP551-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.13 % 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 : n009.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 22:30:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (17089)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 (3000ds/37Mi)
% 0.19/0.49 % (17101)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 (3000ds/68Mi)
% 0.19/0.50 % (17097)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.19/0.50 % (17092)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 (3000ds/48Mi)
% 0.19/0.50 % (17090)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.50 % (17099)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.19/0.51 % (17093)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.51 % (17114)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 (3000ds/68Mi)
% 0.19/0.51 TRYING [1]
% 0.19/0.51 TRYING [2]
% 0.19/0.51 TRYING [3]
% 0.19/0.51 TRYING [4]
% 0.19/0.51 % (17087)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 (3000ds/191324Mi)
% 0.19/0.52 % (17091)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.52 % (17108)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/176Mi)
% 0.19/0.52 % (17100)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.19/0.52 % (17111)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 (3000ds/467Mi)
% 0.19/0.52 % (17110)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 (3000ds/498Mi)
% 0.19/0.53 % (17102)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 (3000ds/75Mi)
% 0.19/0.53 % (17113)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 0.19/0.53 % (17105)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.19/0.53 % (17112)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.19/0.53 % (17115)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/177Mi)
% 0.19/0.53 % (17107)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.19/0.53 % (17094)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.19/0.53 % (17096)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 (3000ds/51Mi)
% 0.19/0.53 % (17117)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.19/0.53 % (17088)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.19/0.54 TRYING [1]
% 0.19/0.54 TRYING [2]
% 0.19/0.54 % (17098)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.19/0.54 TRYING [3]
% 0.19/0.54 % (17118)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 (3000ds/355Mi)
% 0.19/0.54 TRYING [4]
% 0.19/0.54 % (17106)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.19/0.54 % (17092)Instruction limit reached!
% 0.19/0.54 % (17092)------------------------------
% 0.19/0.54 % (17092)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (17092)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (17092)Termination reason: Unknown
% 0.19/0.54 % (17092)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (17092)Memory used [KB]: 6268
% 0.19/0.54 % (17092)Time elapsed: 0.130 s
% 0.19/0.54 % (17092)Instructions burned: 48 (million)
% 0.19/0.54 % (17092)------------------------------
% 0.19/0.54 % (17092)------------------------------
% 0.19/0.55 % (17104)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 (3000ds/99Mi)
% 0.19/0.55 % (17095)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.19/0.55 % (17095)Instruction limit reached!
% 0.19/0.55 % (17095)------------------------------
% 0.19/0.55 % (17095)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (17095)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (17095)Termination reason: Unknown
% 0.19/0.55 % (17095)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (17095)Memory used [KB]: 5373
% 0.19/0.55 % (17095)Time elapsed: 0.148 s
% 0.19/0.55 % (17095)Instructions burned: 3 (million)
% 0.19/0.55 % (17095)------------------------------
% 0.19/0.55 % (17095)------------------------------
% 0.19/0.55 TRYING [1]
% 0.19/0.55 TRYING [2]
% 0.19/0.55 TRYING [3]
% 0.19/0.55 TRYING [4]
% 0.19/0.55 % (17109)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.19/0.56 % (17089)Instruction limit reached!
% 0.19/0.56 % (17089)------------------------------
% 0.19/0.56 % (17089)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 TRYING [5]
% 0.19/0.56 TRYING [5]
% 0.19/0.56 % (17093)Instruction limit reached!
% 0.19/0.56 % (17093)------------------------------
% 0.19/0.56 % (17093)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (17089)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (17094)Instruction limit reached!
% 0.19/0.57 % (17094)------------------------------
% 0.19/0.57 % (17094)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (17094)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (17094)Termination reason: Unknown
% 0.19/0.57 % (17094)Termination phase: Saturation
% 0.19/0.57
% 0.19/0.57 % (17094)Memory used [KB]: 5500
% 0.19/0.57 % (17094)Time elapsed: 0.097 s
% 0.19/0.57 % (17094)Instructions burned: 7 (million)
% 0.19/0.57 % (17094)------------------------------
% 0.19/0.57 % (17094)------------------------------
% 0.19/0.57 % (17089)Termination reason: Unknown
% 0.19/0.57 % (17089)Termination phase: Saturation
% 0.19/0.57
% 0.19/0.57 % (17089)Memory used [KB]: 1535
% 0.19/0.57 % (17089)Time elapsed: 0.162 s
% 0.19/0.57 % (17089)Instructions burned: 38 (million)
% 0.19/0.57 % (17089)------------------------------
% 0.19/0.57 % (17089)------------------------------
% 0.19/0.57 TRYING [5]
% 0.19/0.57 % (17093)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (17093)Termination reason: Unknown
% 0.19/0.57 % (17093)Termination phase: Finite model building constraint generation
% 0.19/0.57
% 0.19/0.57 % (17093)Memory used [KB]: 7547
% 0.19/0.57 % (17093)Time elapsed: 0.178 s
% 0.19/0.57 % (17093)Instructions burned: 53 (million)
% 0.19/0.57 % (17093)------------------------------
% 0.19/0.57 % (17093)------------------------------
% 0.19/0.57 % (17099)First to succeed.
% 0.19/0.58 % (17099)Refutation found. Thanks to Tanya!
% 0.19/0.58 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.58 % (17099)------------------------------
% 0.19/0.58 % (17099)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58 % (17099)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (17099)Termination reason: Refutation
% 0.19/0.58
% 0.19/0.58 % (17099)Memory used [KB]: 6652
% 0.19/0.58 % (17099)Time elapsed: 0.174 s
% 0.19/0.58 % (17099)Instructions burned: 81 (million)
% 0.19/0.58 % (17099)------------------------------
% 0.19/0.58 % (17099)------------------------------
% 0.19/0.58 % (17083)Success in time 0.227 s
%------------------------------------------------------------------------------