TSTP Solution File: FLD071-2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : FLD071-2 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 : n013.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 16:07:03 EDT 2022
% Result : Unsatisfiable 1.72s 0.59s
% Output : Refutation 1.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 22
% Syntax : Number of formulae : 60 ( 15 unt; 0 def)
% Number of atoms : 122 ( 1 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 112 ( 50 ~; 53 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 10 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1812,plain,
$false,
inference(avatar_sat_refutation,[],[f183,f254,f434,f573,f884,f1731,f1739,f1759,f1790,f1811]) ).
fof(f1811,plain,
~ spl1_176,
inference(avatar_contradiction_clause,[],[f1804]) ).
fof(f1804,plain,
( $false
| ~ spl1_176 ),
inference(resolution,[],[f1789,f34]) ).
fof(f34,axiom,
~ less_or_equal(additive_identity,u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_less_or_equal_7) ).
fof(f1789,plain,
( less_or_equal(additive_identity,u)
| ~ spl1_176 ),
inference(avatar_component_clause,[],[f1787]) ).
fof(f1787,plain,
( spl1_176
<=> less_or_equal(additive_identity,u) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_176])]) ).
fof(f1790,plain,
( ~ spl1_14
| spl1_176
| ~ spl1_11 ),
inference(avatar_split_clause,[],[f1783,f122,f1787,f159]) ).
fof(f159,plain,
( spl1_14
<=> defined(u) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_14])]) ).
fof(f122,plain,
( spl1_11
<=> equalish(additive_identity,u) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_11])]) ).
fof(f1783,plain,
( less_or_equal(additive_identity,u)
| ~ defined(u)
| ~ spl1_11 ),
inference(resolution,[],[f1773,f580]) ).
fof(f580,plain,
! [X0,X1] :
( ~ equalish(X0,X1)
| ~ defined(X0)
| less_or_equal(X1,X0) ),
inference(resolution,[],[f558,f26]) ).
fof(f26,axiom,
! [X2,X0,X1] :
( ~ less_or_equal(X0,X2)
| ~ equalish(X0,X1)
| less_or_equal(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatibility_of_equality_and_order_relation) ).
fof(f558,plain,
! [X0] :
( less_or_equal(X0,X0)
| ~ defined(X0) ),
inference(duplicate_literal_removal,[],[f557]) ).
fof(f557,plain,
! [X0] :
( ~ defined(X0)
| less_or_equal(X0,X0)
| ~ defined(X0) ),
inference(factoring,[],[f18]) ).
fof(f18,axiom,
! [X0,X1] :
( less_or_equal(X1,X0)
| less_or_equal(X0,X1)
| ~ defined(X1)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',totality_of_order_relation) ).
fof(f1773,plain,
( equalish(u,additive_identity)
| ~ spl1_11 ),
inference(resolution,[],[f124,f22]) ).
fof(f22,axiom,
! [X0,X1] :
( ~ equalish(X1,X0)
| equalish(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_equality) ).
fof(f124,plain,
( equalish(additive_identity,u)
| ~ spl1_11 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f1759,plain,
spl1_170,
inference(avatar_contradiction_clause,[],[f1752]) ).
fof(f1752,plain,
( $false
| spl1_170 ),
inference(resolution,[],[f1720,f32]) ).
fof(f32,axiom,
less_or_equal(additive_identity,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_5) ).
fof(f1720,plain,
( ~ less_or_equal(additive_identity,b)
| spl1_170 ),
inference(avatar_component_clause,[],[f1718]) ).
fof(f1718,plain,
( spl1_170
<=> less_or_equal(additive_identity,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_170])]) ).
fof(f1739,plain,
spl1_169,
inference(avatar_contradiction_clause,[],[f1732]) ).
fof(f1732,plain,
( $false
| spl1_169 ),
inference(resolution,[],[f1716,f31]) ).
fof(f31,axiom,
less_or_equal(additive_identity,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_4) ).
fof(f1716,plain,
( ~ less_or_equal(additive_identity,a)
| spl1_169 ),
inference(avatar_component_clause,[],[f1714]) ).
fof(f1714,plain,
( spl1_169
<=> less_or_equal(additive_identity,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_169])]) ).
fof(f1731,plain,
( spl1_85
| ~ spl1_169
| ~ spl1_170 ),
inference(avatar_split_clause,[],[f1712,f1718,f1714,f881]) ).
fof(f881,plain,
( spl1_85
<=> less_or_equal(additive_identity,sF0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_85])]) ).
fof(f1712,plain,
( ~ less_or_equal(additive_identity,b)
| ~ less_or_equal(additive_identity,a)
| less_or_equal(additive_identity,sF0) ),
inference(superposition,[],[f20,f35]) ).
fof(f35,plain,
multiply(a,b) = sF0,
introduced(function_definition,[]) ).
fof(f20,axiom,
! [X2,X1] :
( less_or_equal(additive_identity,multiply(X1,X2))
| ~ less_or_equal(additive_identity,X1)
| ~ less_or_equal(additive_identity,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatibility_of_order_relation_and_multiplication) ).
fof(f884,plain,
( ~ spl1_85
| spl1_15
| ~ spl1_49 ),
inference(avatar_split_clause,[],[f614,f569,f163,f881]) ).
fof(f163,plain,
( spl1_15
<=> equalish(additive_identity,sF0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_15])]) ).
fof(f569,plain,
( spl1_49
<=> less_or_equal(u,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_49])]) ).
fof(f614,plain,
( equalish(additive_identity,sF0)
| ~ less_or_equal(additive_identity,sF0)
| ~ spl1_49 ),
inference(resolution,[],[f593,f16]) ).
fof(f16,axiom,
! [X0,X1] :
( ~ less_or_equal(X1,X0)
| equalish(X0,X1)
| ~ less_or_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_of_order_relation) ).
fof(f593,plain,
( less_or_equal(sF0,additive_identity)
| ~ spl1_49 ),
inference(resolution,[],[f577,f37]) ).
fof(f37,plain,
equalish(u,sF0),
inference(resolution,[],[f22,f36]) ).
fof(f36,plain,
equalish(sF0,u),
inference(definition_folding,[],[f33,f35]) ).
fof(f33,axiom,
equalish(multiply(a,b),u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_equals_u_6) ).
fof(f577,plain,
( ! [X0] :
( ~ equalish(u,X0)
| less_or_equal(X0,additive_identity) )
| ~ spl1_49 ),
inference(resolution,[],[f571,f26]) ).
fof(f571,plain,
( less_or_equal(u,additive_identity)
| ~ spl1_49 ),
inference(avatar_component_clause,[],[f569]) ).
fof(f573,plain,
( ~ spl1_14
| spl1_49
| ~ spl1_20 ),
inference(avatar_split_clause,[],[f530,f244,f569,f159]) ).
fof(f244,plain,
( spl1_20
<=> defined(additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_20])]) ).
fof(f530,plain,
( ~ defined(additive_identity)
| less_or_equal(u,additive_identity)
| ~ defined(u) ),
inference(resolution,[],[f18,f34]) ).
fof(f434,plain,
( spl1_11
| ~ spl1_15 ),
inference(avatar_split_clause,[],[f192,f163,f122]) ).
fof(f192,plain,
( equalish(additive_identity,u)
| ~ spl1_15 ),
inference(resolution,[],[f165,f110]) ).
fof(f110,plain,
! [X19] :
( ~ equalish(X19,sF0)
| equalish(X19,u) ),
inference(resolution,[],[f23,f36]) ).
fof(f23,axiom,
! [X2,X0,X1] :
( ~ equalish(X1,X2)
| equalish(X0,X2)
| ~ equalish(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_equality) ).
fof(f165,plain,
( equalish(additive_identity,sF0)
| ~ spl1_15 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f254,plain,
spl1_20,
inference(avatar_contradiction_clause,[],[f253]) ).
fof(f253,plain,
( $false
| spl1_20 ),
inference(resolution,[],[f246,f11]) ).
fof(f11,axiom,
defined(additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_additive_identity) ).
fof(f246,plain,
( ~ defined(additive_identity)
| spl1_20 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f183,plain,
spl1_14,
inference(avatar_contradiction_clause,[],[f182]) ).
fof(f182,plain,
( $false
| spl1_14 ),
inference(resolution,[],[f161,f30]) ).
fof(f30,axiom,
defined(u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_is_defined) ).
fof(f161,plain,
( ~ defined(u)
| spl1_14 ),
inference(avatar_component_clause,[],[f159]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : FLD071-2 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 : n013.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 20:42:02 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.49 % (7208)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)
% 0.19/0.49 % (7218)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)
% 0.19/0.50 % (7202)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)
% 0.19/0.50 TRYING [1]
% 0.19/0.50 TRYING [2]
% 0.19/0.50 TRYING [3]
% 0.19/0.50 % (7216)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 % (7209)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51 % (7205)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)
% 0.19/0.51 TRYING [1]
% 0.19/0.51 TRYING [2]
% 0.19/0.51 % (7214)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.51 TRYING [3]
% 0.19/0.51 % (7215)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.52 % (7220)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.52 % (7203)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 % (7203)Refutation not found, incomplete strategy% (7203)------------------------------
% 0.19/0.52 % (7203)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (7203)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (7203)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (7203)Memory used [KB]: 5373
% 0.19/0.52 % (7203)Time elapsed: 0.116 s
% 0.19/0.52 % (7203)Instructions burned: 1 (million)
% 0.19/0.52 % (7203)------------------------------
% 0.19/0.52 % (7203)------------------------------
% 0.19/0.52 % (7209)Instruction limit reached!
% 0.19/0.52 % (7209)------------------------------
% 0.19/0.52 % (7209)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (7209)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (7209)Termination reason: Unknown
% 0.19/0.52 % (7209)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (7209)Memory used [KB]: 5500
% 0.19/0.52 % (7209)Time elapsed: 0.121 s
% 0.19/0.52 % (7209)Instructions burned: 7 (million)
% 0.19/0.52 % (7209)------------------------------
% 0.19/0.52 % (7209)------------------------------
% 0.19/0.53 % (7225)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)
% 0.19/0.53 % (7229)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 (2999ds/177Mi)
% 0.19/0.53 % (7228)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)
% 0.19/0.53 TRYING [4]
% 0.19/0.53 % (7219)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.53 % (7204)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)
% 0.19/0.53 % (7206)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 % (7207)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)
% 0.19/0.53 TRYING [1]
% 0.19/0.53 TRYING [2]
% 0.19/0.53 % (7217)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)
% 0.19/0.53 % (7230)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.54 % (7211)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)
% 0.19/0.54 TRYING [3]
% 0.19/0.54 % (7222)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 (2999ds/176Mi)
% 0.19/0.54 % (7221)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 (2999ds/100Mi)
% 0.19/0.54 % (7213)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)
% 0.19/0.54 % (7212)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.54 % (7210)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.54 % (7210)Instruction limit reached!
% 0.19/0.54 % (7210)------------------------------
% 0.19/0.54 % (7210)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (7210)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (7210)Termination reason: Unknown
% 0.19/0.54 % (7210)Termination phase: Blocked clause elimination
% 0.19/0.54
% 0.19/0.54 % (7210)Memory used [KB]: 895
% 0.19/0.54 % (7210)Time elapsed: 0.002 s
% 0.19/0.54 % (7210)Instructions burned: 3 (million)
% 0.19/0.54 % (7210)------------------------------
% 0.19/0.54 % (7210)------------------------------
% 0.19/0.54 % (7227)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.54 % (7231)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)
% 0.19/0.54 % (7223)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.54 % (7226)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.55 % (7224)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)
% 0.19/0.55 TRYING [4]
% 1.52/0.56 % (7208)Instruction limit reached!
% 1.52/0.56 % (7208)------------------------------
% 1.52/0.56 % (7208)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.56 % (7208)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.56 % (7208)Termination reason: Unknown
% 1.52/0.56 % (7208)Termination phase: Finite model building constraint generation
% 1.52/0.57
% 1.52/0.57 % (7208)Memory used [KB]: 7291
% 1.52/0.57 % (7208)Time elapsed: 0.160 s
% 1.52/0.57 % (7208)Instructions burned: 52 (million)
% 1.52/0.57 % (7208)------------------------------
% 1.52/0.57 % (7208)------------------------------
% 1.52/0.57 TRYING [4]
% 1.72/0.58 % (7205)First to succeed.
% 1.72/0.59 % (7205)Refutation found. Thanks to Tanya!
% 1.72/0.59 % SZS status Unsatisfiable for theBenchmark
% 1.72/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.72/0.59 % (7205)------------------------------
% 1.72/0.59 % (7205)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.72/0.59 % (7205)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.72/0.59 % (7205)Termination reason: Refutation
% 1.72/0.59
% 1.72/0.59 % (7205)Memory used [KB]: 6268
% 1.72/0.59 % (7205)Time elapsed: 0.192 s
% 1.72/0.59 % (7205)Instructions burned: 32 (million)
% 1.72/0.59 % (7205)------------------------------
% 1.72/0.59 % (7205)------------------------------
% 1.72/0.59 % (7201)Success in time 0.229 s
%------------------------------------------------------------------------------