TSTP Solution File: NUM299+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM299+1 : TPTP v8.1.0. Released v3.1.0.
% 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 : n003.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 17:58:03 EDT 2022
% Result : Theorem 0.20s 0.55s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 30 ( 15 unt; 0 def)
% Number of atoms : 71 ( 5 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 74 ( 33 ~; 25 |; 11 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-1 aty)
% Number of variables : 47 ( 47 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f657,plain,
$false,
inference(unit_resulting_resolution,[],[f499,f503,f653,f525]) ).
fof(f525,plain,
! [X2,X0,X1] :
( ~ rdn_positive_less(rdnn(X2),rdnn(X1))
| rdn_positive_less(rdnn(X2),rdnn(X0))
| ~ rdn_positive_less(rdnn(X1),rdnn(X0)) ),
inference(cnf_transformation,[],[f430]) ).
fof(f430,plain,
! [X0,X1,X2] :
( ~ rdn_positive_less(rdnn(X2),rdnn(X1))
| rdn_positive_less(rdnn(X2),rdnn(X0))
| ~ rdn_positive_less(rdnn(X1),rdnn(X0)) ),
inference(flattening,[],[f429]) ).
fof(f429,plain,
! [X2,X1,X0] :
( rdn_positive_less(rdnn(X2),rdnn(X0))
| ~ rdn_positive_less(rdnn(X1),rdnn(X0))
| ~ rdn_positive_less(rdnn(X2),rdnn(X1)) ),
inference(ennf_transformation,[],[f409]) ).
fof(f409,plain,
! [X2,X1,X0] :
( ( rdn_positive_less(rdnn(X1),rdnn(X0))
& rdn_positive_less(rdnn(X2),rdnn(X1)) )
=> rdn_positive_less(rdnn(X2),rdnn(X0)) ),
inference(rectify,[],[f275]) ).
fof(f275,axiom,
! [X2,X1,X0] :
( ( rdn_positive_less(rdnn(X1),rdnn(X2))
& rdn_positive_less(rdnn(X0),rdnn(X1)) )
=> rdn_positive_less(rdnn(X0),rdnn(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_positive_less_transitivity) ).
fof(f653,plain,
~ rdn_positive_less(rdnn(n2),rdnn(n4)),
inference(unit_resulting_resolution,[],[f573,f592,f649,f558]) ).
fof(f558,plain,
! [X2,X3,X0,X1] :
( ~ rdn_translate(X1,rdn_neg(X2))
| ~ rdn_translate(X0,rdn_neg(X3))
| less(X1,X0)
| ~ rdn_positive_less(X3,X2) ),
inference(cnf_transformation,[],[f479]) ).
fof(f479,plain,
! [X0,X1,X2,X3] :
( ~ rdn_translate(X0,rdn_neg(X3))
| ~ rdn_translate(X1,rdn_neg(X2))
| ~ rdn_positive_less(X3,X2)
| less(X1,X0) ),
inference(rectify,[],[f436]) ).
fof(f436,plain,
! [X3,X1,X2,X0] :
( ~ rdn_translate(X3,rdn_neg(X0))
| ~ rdn_translate(X1,rdn_neg(X2))
| ~ rdn_positive_less(X0,X2)
| less(X1,X3) ),
inference(flattening,[],[f435]) ).
fof(f435,plain,
! [X3,X1,X0,X2] :
( less(X1,X3)
| ~ rdn_translate(X3,rdn_neg(X0))
| ~ rdn_positive_less(X0,X2)
| ~ rdn_translate(X1,rdn_neg(X2)) ),
inference(ennf_transformation,[],[f407]) ).
fof(f407,plain,
! [X3,X1,X0,X2] :
( ( rdn_translate(X3,rdn_neg(X0))
& rdn_positive_less(X0,X2)
& rdn_translate(X1,rdn_neg(X2)) )
=> less(X1,X3) ),
inference(rectify,[],[f283]) ).
fof(f283,axiom,
! [X10,X0,X9,X1] :
( ( rdn_positive_less(X10,X9)
& rdn_translate(X1,rdn_neg(X10))
& rdn_translate(X0,rdn_neg(X9)) )
=> less(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_entry_point_neg_neg) ).
fof(f649,plain,
~ less(nn4,nn2),
inference(unit_resulting_resolution,[],[f625,f547]) ).
fof(f547,plain,
! [X0,X1] :
( ~ less(X1,X0)
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f477]) ).
fof(f477,plain,
! [X0,X1] :
( ( less(X0,X1)
| less(X1,X0)
| X0 = X1 )
& ( ( ~ less(X1,X0)
& X0 != X1 )
| ~ less(X0,X1) ) ),
inference(flattening,[],[f476]) ).
fof(f476,plain,
! [X0,X1] :
( ( less(X0,X1)
| less(X1,X0)
| X0 = X1 )
& ( ( ~ less(X1,X0)
& X0 != X1 )
| ~ less(X0,X1) ) ),
inference(nnf_transformation,[],[f284]) ).
fof(f284,axiom,
! [X0,X1] :
( less(X0,X1)
<=> ( ~ less(X1,X0)
& X0 != X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_property) ).
fof(f625,plain,
less(nn2,nn4),
inference(cnf_transformation,[],[f404]) ).
fof(f404,plain,
less(nn2,nn4),
inference(flattening,[],[f403]) ).
fof(f403,negated_conjecture,
~ ~ less(nn2,nn4),
inference(negated_conjecture,[],[f402]) ).
fof(f402,conjecture,
~ less(nn2,nn4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nn2_not_less_nn4) ).
fof(f592,plain,
rdn_translate(nn2,rdn_neg(rdnn(n2))),
inference(cnf_transformation,[],[f130]) ).
fof(f130,axiom,
rdn_translate(nn2,rdn_neg(rdnn(n2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn2) ).
fof(f573,plain,
rdn_translate(nn4,rdn_neg(rdnn(n4))),
inference(cnf_transformation,[],[f132]) ).
fof(f132,axiom,
rdn_translate(nn4,rdn_neg(rdnn(n4))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn4) ).
fof(f503,plain,
rdn_positive_less(rdnn(n2),rdnn(n3)),
inference(cnf_transformation,[],[f268]) ).
fof(f268,axiom,
rdn_positive_less(rdnn(n2),rdnn(n3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_positive_less23) ).
fof(f499,plain,
rdn_positive_less(rdnn(n3),rdnn(n4)),
inference(cnf_transformation,[],[f269]) ).
fof(f269,axiom,
rdn_positive_less(rdnn(n3),rdnn(n4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_positive_less34) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM299+1 : TPTP v8.1.0. Released v3.1.0.
% 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 : n003.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 06:20:37 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.50 % (23848)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)
% 0.20/0.50 % (23840)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)
% 0.20/0.50 % (23830)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)
% 0.20/0.51 % (23831)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)
% 0.20/0.51 % (23847)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)
% 0.20/0.51 % (23825)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)
% 0.20/0.51 % (23829)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)
% 0.20/0.51 % (23838)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)
% 0.20/0.51 % (23831)Refutation not found, incomplete strategy% (23831)------------------------------
% 0.20/0.51 % (23831)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (23831)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (23831)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51
% 0.20/0.51 % (23831)Memory used [KB]: 6268
% 0.20/0.51 % (23831)Time elapsed: 0.006 s
% 0.20/0.51 % (23831)Instructions burned: 3 (million)
% 0.20/0.51 % (23831)------------------------------
% 0.20/0.51 % (23831)------------------------------
% 0.20/0.51 % (23851)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52 % (23840)Instruction limit reached!
% 0.20/0.52 % (23840)------------------------------
% 0.20/0.52 % (23840)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (23840)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (23840)Termination reason: Unknown
% 0.20/0.52 % (23840)Termination phase: Property scanning
% 0.20/0.52
% 0.20/0.52 % (23840)Memory used [KB]: 1791
% 0.20/0.52 % (23840)Time elapsed: 0.010 s
% 0.20/0.52 % (23840)Instructions burned: 10 (million)
% 0.20/0.52 % (23840)------------------------------
% 0.20/0.52 % (23840)------------------------------
% 0.20/0.52 % (23830)Refutation not found, incomplete strategy% (23830)------------------------------
% 0.20/0.52 % (23830)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (23826)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)
% 0.20/0.52 % (23830)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (23830)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52
% 0.20/0.52 % (23830)Memory used [KB]: 6268
% 0.20/0.52 % (23830)Time elapsed: 0.095 s
% 0.20/0.52 % (23830)Instructions burned: 11 (million)
% 0.20/0.52 % (23830)------------------------------
% 0.20/0.52 % (23830)------------------------------
% 0.20/0.52 % (23827)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (23826)Instruction limit reached!
% 0.20/0.52 % (23826)------------------------------
% 0.20/0.52 % (23826)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (23826)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (23826)Termination reason: Unknown
% 0.20/0.52 % (23826)Termination phase: Preprocessing 2
% 0.20/0.52
% 0.20/0.52 % (23826)Memory used [KB]: 1791
% 0.20/0.52 % (23826)Time elapsed: 0.002 s
% 0.20/0.52 % (23826)Instructions burned: 3 (million)
% 0.20/0.52 % (23826)------------------------------
% 0.20/0.52 % (23826)------------------------------
% 0.20/0.52 % (23827)Refutation not found, incomplete strategy% (23827)------------------------------
% 0.20/0.52 % (23827)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (23827)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (23827)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52
% 0.20/0.52 % (23827)Memory used [KB]: 6268
% 0.20/0.52 % (23827)Time elapsed: 0.111 s
% 0.20/0.52 % (23827)Instructions burned: 4 (million)
% 0.20/0.52 % (23827)------------------------------
% 0.20/0.52 % (23827)------------------------------
% 0.20/0.52 % (23848)Refutation not found, incomplete strategy% (23848)------------------------------
% 0.20/0.52 % (23848)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (23848)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (23848)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52
% 0.20/0.52 % (23848)Memory used [KB]: 2046
% 0.20/0.52 % (23848)Time elapsed: 0.078 s
% 0.20/0.52 % (23848)Instructions burned: 13 (million)
% 0.20/0.52 % (23848)------------------------------
% 0.20/0.52 % (23848)------------------------------
% 0.20/0.53 % (23842)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.53 % (23825)Refutation not found, incomplete strategy% (23825)------------------------------
% 0.20/0.53 % (23825)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (23825)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (23825)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (23825)Memory used [KB]: 6268
% 0.20/0.53 % (23825)Time elapsed: 0.122 s
% 0.20/0.53 % (23825)Instructions burned: 3 (million)
% 0.20/0.53 % (23825)------------------------------
% 0.20/0.53 % (23825)------------------------------
% 0.20/0.53 % (23838)Instruction limit reached!
% 0.20/0.53 % (23838)------------------------------
% 0.20/0.53 % (23838)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (23838)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (23838)Termination reason: Unknown
% 0.20/0.53 % (23838)Termination phase: Clausification
% 0.20/0.53
% 0.20/0.53 % (23838)Memory used [KB]: 1791
% 0.20/0.53 % (23838)Time elapsed: 0.004 s
% 0.20/0.53 % (23838)Instructions burned: 4 (million)
% 0.20/0.53 % (23838)------------------------------
% 0.20/0.53 % (23838)------------------------------
% 0.20/0.53 % (23834)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.53 % (23832)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)
% 0.20/0.54 % (23837)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54 % (23829)Refutation not found, incomplete strategy% (23829)------------------------------
% 0.20/0.54 % (23829)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (23829)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (23829)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54
% 0.20/0.54 % (23829)Memory used [KB]: 1791
% 0.20/0.54 % (23829)Time elapsed: 0.005 s
% 0.20/0.54 % (23829)Instructions burned: 4 (million)
% 0.20/0.54 % (23829)------------------------------
% 0.20/0.54 % (23829)------------------------------
% 0.20/0.54 % (23854)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.20/0.54 % (23846)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54 % (23852)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.54 % (23833)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)
% 0.20/0.54 % (23853)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.54 % (23843)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54 % (23843)Instruction limit reached!
% 0.20/0.54 % (23843)------------------------------
% 0.20/0.54 % (23843)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (23844)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.20/0.54 % (23828)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)
% 0.20/0.54 % (23824)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.54 % (23835)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55 % (23833)First to succeed.
% 0.20/0.55 % (23833)Refutation found. Thanks to Tanya!
% 0.20/0.55 % SZS status Theorem for theBenchmark
% 0.20/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55 % (23833)------------------------------
% 0.20/0.55 % (23833)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (23833)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (23833)Termination reason: Refutation
% 0.20/0.55
% 0.20/0.55 % (23833)Memory used [KB]: 6524
% 0.20/0.55 % (23833)Time elapsed: 0.137 s
% 0.20/0.55 % (23833)Instructions burned: 13 (million)
% 0.20/0.55 % (23833)------------------------------
% 0.20/0.55 % (23833)------------------------------
% 0.20/0.55 % (23812)Success in time 0.193 s
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