TSTP Solution File: AGT005+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : AGT005+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n029.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 : Sun May 5 04:09:38 EDT 2024
% Result : Theorem 0.21s 0.53s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 17
% Syntax : Number of formulae : 82 ( 35 unt; 0 def)
% Number of atoms : 185 ( 13 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 204 ( 101 ~; 75 |; 19 &)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-4 aty)
% Number of functors : 15 ( 15 usr; 15 con; 0-0 aty)
% Number of variables : 133 ( 133 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3467,plain,
$false,
inference(resolution,[],[f3465,f1270]) ).
fof(f1270,plain,
accept_city(countryccivilorganization,townc),
inference(resolution,[],[f1243,f690]) ).
fof(f690,plain,
the_agent_in_all_proposed_teams(countryccivilorganization,countryahumanitarianorganization,townc),
inference(cnf_transformation,[],[f140]) ).
fof(f140,axiom,
the_agent_in_all_proposed_teams(countryccivilorganization,countryahumanitarianorganization,townc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',event_120) ).
fof(f1243,plain,
! [X2,X0,X1] :
( ~ the_agent_in_all_proposed_teams(X0,X1,X2)
| accept_city(X0,X2) ),
inference(cnf_transformation,[],[f586]) ).
fof(f586,plain,
! [X0,X1,X2] :
( ( accept_city(X0,X2)
& accept_leader(X0,X1) )
| ~ the_agent_in_all_proposed_teams(X0,X1,X2) ),
inference(ennf_transformation,[],[f566]) ).
fof(f566,plain,
! [X0,X1,X2] :
( the_agent_in_all_proposed_teams(X0,X1,X2)
=> ( accept_city(X0,X2)
& accept_leader(X0,X1) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X0,X3,X1] :
( the_agent_in_all_proposed_teams(X0,X3,X1)
=> ( accept_city(X0,X1)
& accept_leader(X0,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1_4) ).
fof(f3465,plain,
! [X0] : ~ accept_city(countryccivilorganization,X0),
inference(resolution,[],[f3240,f3165]) ).
fof(f3165,plain,
! [X0] :
( ~ accept_number(countryccivilorganization,n6)
| ~ accept_city(countryccivilorganization,X0) ),
inference(resolution,[],[f3163,f716]) ).
fof(f716,plain,
any_agent_in_all_proposed_teams(countryccivilorganization,sufferterragovernment,towna),
inference(cnf_transformation,[],[f241]) ).
fof(f241,axiom,
any_agent_in_all_proposed_teams(countryccivilorganization,sufferterragovernment,towna),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',event_221) ).
fof(f3163,plain,
! [X2,X0,X1] :
( ~ any_agent_in_all_proposed_teams(countryccivilorganization,X1,X2)
| ~ accept_city(countryccivilorganization,X0)
| ~ accept_number(countryccivilorganization,n6) ),
inference(resolution,[],[f3161,f1244]) ).
fof(f1244,plain,
! [X2,X0,X1] :
( accept_leader(X0,X1)
| ~ any_agent_in_all_proposed_teams(X0,X1,X2) ),
inference(cnf_transformation,[],[f587]) ).
fof(f587,plain,
! [X0,X1,X2] :
( accept_leader(X0,X1)
| ~ any_agent_in_all_proposed_teams(X0,X1,X2) ),
inference(ennf_transformation,[],[f567]) ).
fof(f567,plain,
! [X0,X1,X2] :
( any_agent_in_all_proposed_teams(X0,X1,X2)
=> accept_leader(X0,X1) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X0,X3,X1] :
( any_agent_in_all_proposed_teams(X0,X3,X1)
=> accept_leader(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1_5) ).
fof(f3161,plain,
! [X0,X1] :
( ~ accept_leader(countryccivilorganization,X0)
| ~ accept_number(countryccivilorganization,n6)
| ~ accept_city(countryccivilorganization,X1) ),
inference(resolution,[],[f3157,f1256]) ).
fof(f1256,plain,
! [X2,X3,X0,X1] :
( accept_team(X0,X3,X1,X2)
| ~ accept_number(X0,X2)
| ~ accept_leader(X0,X3)
| ~ accept_city(X0,X1) ),
inference(cnf_transformation,[],[f632]) ).
fof(f632,plain,
! [X0,X1,X2,X3] :
( ( accept_team(X0,X3,X1,X2)
| ~ accept_number(X0,X2)
| ~ accept_leader(X0,X3)
| ~ accept_city(X0,X1) )
& ( ( accept_number(X0,X2)
& accept_leader(X0,X3)
& accept_city(X0,X1) )
| ~ accept_team(X0,X3,X1,X2) ) ),
inference(flattening,[],[f631]) ).
fof(f631,plain,
! [X0,X1,X2,X3] :
( ( accept_team(X0,X3,X1,X2)
| ~ accept_number(X0,X2)
| ~ accept_leader(X0,X3)
| ~ accept_city(X0,X1) )
& ( ( accept_number(X0,X2)
& accept_leader(X0,X3)
& accept_city(X0,X1) )
| ~ accept_team(X0,X3,X1,X2) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1,X2,X3] :
( accept_team(X0,X3,X1,X2)
<=> ( accept_number(X0,X2)
& accept_leader(X0,X3)
& accept_city(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1_1) ).
fof(f3157,plain,
! [X0,X1] : ~ accept_team(countryccivilorganization,X0,X1,n6),
inference(resolution,[],[f3154,f832]) ).
fof(f832,plain,
accept_team(countryccivilorganization,countrybhumanitarianorganization,cityb,n2),
inference(cnf_transformation,[],[f27]) ).
fof(f27,axiom,
accept_team(countryccivilorganization,countrybhumanitarianorganization,cityb,n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',event_7) ).
fof(f3154,plain,
! [X2,X3,X0,X1] :
( ~ accept_team(countryccivilorganization,countrybhumanitarianorganization,X0,X1)
| ~ accept_team(countryccivilorganization,X2,X3,n6) ),
inference(resolution,[],[f1997,f1270]) ).
fof(f1997,plain,
! [X2,X3,X0,X1] :
( ~ accept_city(countryccivilorganization,townc)
| ~ accept_team(countryccivilorganization,countrybhumanitarianorganization,X0,X1)
| ~ accept_team(countryccivilorganization,X2,X3,n6) ),
inference(resolution,[],[f1606,f1255]) ).
fof(f1255,plain,
! [X2,X3,X0,X1] :
( accept_number(X0,X2)
| ~ accept_team(X0,X3,X1,X2) ),
inference(cnf_transformation,[],[f632]) ).
fof(f1606,plain,
! [X0,X1] :
( ~ accept_number(countryccivilorganization,n6)
| ~ accept_city(countryccivilorganization,townc)
| ~ accept_team(countryccivilorganization,countrybhumanitarianorganization,X0,X1) ),
inference(resolution,[],[f1574,f1254]) ).
fof(f1254,plain,
! [X2,X3,X0,X1] :
( accept_leader(X0,X3)
| ~ accept_team(X0,X3,X1,X2) ),
inference(cnf_transformation,[],[f632]) ).
fof(f1574,plain,
( ~ accept_leader(countryccivilorganization,countrybhumanitarianorganization)
| ~ accept_number(countryccivilorganization,n6)
| ~ accept_city(countryccivilorganization,townc) ),
inference(resolution,[],[f1256,f762]) ).
fof(f762,plain,
~ accept_team(countryccivilorganization,countrybhumanitarianorganization,townc,n6),
inference(cnf_transformation,[],[f137]) ).
fof(f137,axiom,
~ accept_team(countryccivilorganization,countrybhumanitarianorganization,townc,n6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',event_117) ).
fof(f3240,plain,
accept_number(countryccivilorganization,n6),
inference(backward_demodulation,[],[f648,f3223]) ).
fof(f3223,plain,
n3 = n6,
inference(resolution,[],[f3191,f1268]) ).
fof(f1268,plain,
accept_city(countryccivilorganization,towna),
inference(resolution,[],[f1243,f688]) ).
fof(f688,plain,
the_agent_in_all_proposed_teams(countryccivilorganization,sufferterragovernment,towna),
inference(cnf_transformation,[],[f240]) ).
fof(f240,axiom,
the_agent_in_all_proposed_teams(countryccivilorganization,sufferterragovernment,towna),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',event_220) ).
fof(f3191,plain,
! [X0] :
( ~ accept_city(countryccivilorganization,X0)
| n3 = n6 ),
inference(resolution,[],[f3185,f1282]) ).
fof(f1282,plain,
accept_city(christiansufferterrahumanitarianorganization,coastvillage),
inference(resolution,[],[f1243,f683]) ).
fof(f683,plain,
the_agent_in_all_proposed_teams(christiansufferterrahumanitarianorganization,christiancountrychumanitarianorganization,coastvillage),
inference(cnf_transformation,[],[f114]) ).
fof(f114,axiom,
the_agent_in_all_proposed_teams(christiansufferterrahumanitarianorganization,christiancountrychumanitarianorganization,coastvillage),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',event_94) ).
fof(f3185,plain,
! [X0,X1] :
( ~ accept_city(christiansufferterrahumanitarianorganization,X1)
| ~ accept_city(countryccivilorganization,X0)
| n3 = n6 ),
inference(resolution,[],[f3182,f648]) ).
fof(f3182,plain,
! [X0,X1] :
( ~ accept_number(countryccivilorganization,n3)
| ~ accept_city(countryccivilorganization,X0)
| n3 = n6
| ~ accept_city(christiansufferterrahumanitarianorganization,X1) ),
inference(resolution,[],[f3181,f644]) ).
fof(f644,plain,
accept_number(christiansufferterrahumanitarianorganization,n6),
inference(cnf_transformation,[],[f160]) ).
fof(f160,axiom,
accept_number(christiansufferterrahumanitarianorganization,n6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',event_140) ).
fof(f3181,plain,
! [X0,X1] :
( ~ accept_number(christiansufferterrahumanitarianorganization,n6)
| ~ accept_number(countryccivilorganization,n3)
| ~ accept_city(countryccivilorganization,X0)
| n3 = n6
| ~ accept_city(christiansufferterrahumanitarianorganization,X1) ),
inference(resolution,[],[f3168,f1661]) ).
fof(f1661,plain,
! [X0,X1] :
( less(X1,n3)
| ~ accept_number(christiansufferterrahumanitarianorganization,X1)
| n3 = X1
| ~ accept_city(christiansufferterrahumanitarianorganization,X0) ),
inference(resolution,[],[f1656,f1239]) ).
fof(f1239,plain,
! [X0,X1] :
( less(X1,X0)
| X0 = X1
| less(X0,X1) ),
inference(cnf_transformation,[],[f630]) ).
fof(f630,plain,
! [X0,X1] :
( ( less(X0,X1)
| X0 = X1
| less(X1,X0) )
& ( ( X0 != X1
& ~ less(X1,X0) )
| ~ less(X0,X1) ) ),
inference(flattening,[],[f629]) ).
fof(f629,plain,
! [X0,X1] :
( ( less(X0,X1)
| X0 = X1
| less(X1,X0) )
& ( ( X0 != X1
& ~ less(X1,X0) )
| ~ less(X0,X1) ) ),
inference(nnf_transformation,[],[f563]) ).
fof(f563,plain,
! [X0,X1] :
( less(X0,X1)
<=> ( X0 != X1
& ~ less(X1,X0) ) ),
inference(rectify,[],[f553]) ).
fof(f553,axiom,
! [X6,X7] :
( less(X6,X7)
<=> ( X6 != X7
& ~ less(X7,X6) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_property) ).
fof(f1656,plain,
! [X0,X1] :
( ~ less(n3,X1)
| ~ accept_city(christiansufferterrahumanitarianorganization,X0)
| ~ accept_number(christiansufferterrahumanitarianorganization,X1) ),
inference(resolution,[],[f1654,f1245]) ).
fof(f1245,plain,
! [X2,X0,X1] :
( accept_number(X0,X2)
| ~ less(X2,X1)
| ~ accept_number(X0,X1) ),
inference(cnf_transformation,[],[f589]) ).
fof(f589,plain,
! [X0,X1,X2] :
( accept_number(X0,X2)
| ~ less(X2,X1)
| ~ accept_number(X0,X1) ),
inference(flattening,[],[f588]) ).
fof(f588,plain,
! [X0,X1,X2] :
( accept_number(X0,X2)
| ~ less(X2,X1)
| ~ accept_number(X0,X1) ),
inference(ennf_transformation,[],[f568]) ).
fof(f568,plain,
! [X0,X1,X2] :
( ( less(X2,X1)
& accept_number(X0,X1) )
=> accept_number(X0,X2) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X0,X2,X4] :
( ( less(X4,X2)
& accept_number(X0,X2) )
=> accept_number(X0,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1_2) ).
fof(f1654,plain,
! [X0] :
( ~ accept_number(christiansufferterrahumanitarianorganization,n3)
| ~ accept_city(christiansufferterrahumanitarianorganization,X0) ),
inference(resolution,[],[f1652,f710]) ).
fof(f710,plain,
any_agent_in_all_proposed_teams(christiansufferterrahumanitarianorganization,christiancountrychumanitarianorganization,coastvillage),
inference(cnf_transformation,[],[f115]) ).
fof(f115,axiom,
any_agent_in_all_proposed_teams(christiansufferterrahumanitarianorganization,christiancountrychumanitarianorganization,coastvillage),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',event_95) ).
fof(f1652,plain,
! [X2,X0,X1] :
( ~ any_agent_in_all_proposed_teams(christiansufferterrahumanitarianorganization,X1,X2)
| ~ accept_city(christiansufferterrahumanitarianorganization,X0)
| ~ accept_number(christiansufferterrahumanitarianorganization,n3) ),
inference(resolution,[],[f1650,f1244]) ).
fof(f1650,plain,
! [X0,X1] :
( ~ accept_leader(christiansufferterrahumanitarianorganization,X0)
| ~ accept_number(christiansufferterrahumanitarianorganization,n3)
| ~ accept_city(christiansufferterrahumanitarianorganization,X1) ),
inference(resolution,[],[f1647,f1256]) ).
fof(f1647,plain,
! [X0,X1] : ~ accept_team(christiansufferterrahumanitarianorganization,X0,X1,n3),
inference(resolution,[],[f1638,f811]) ).
fof(f811,plain,
accept_team(christiansufferterrahumanitarianorganization,countryacivilorganization,towna,n6),
inference(cnf_transformation,[],[f46]) ).
fof(f46,axiom,
accept_team(christiansufferterrahumanitarianorganization,countryacivilorganization,towna,n6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',event_26) ).
fof(f1638,plain,
! [X2,X3,X0,X1] :
( ~ accept_team(christiansufferterrahumanitarianorganization,X0,X1,n3)
| ~ accept_team(christiansufferterrahumanitarianorganization,X2,towna,X3) ),
inference(resolution,[],[f1630,f808]) ).
fof(f808,plain,
accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,coastvillage,n6),
inference(cnf_transformation,[],[f113]) ).
fof(f113,axiom,
accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,coastvillage,n6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',event_93) ).
fof(f1630,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,X0,X1)
| ~ accept_team(christiansufferterrahumanitarianorganization,X2,X3,n3)
| ~ accept_team(christiansufferterrahumanitarianorganization,X4,towna,X5) ),
inference(resolution,[],[f1628,f1253]) ).
fof(f1253,plain,
! [X2,X3,X0,X1] :
( accept_city(X0,X1)
| ~ accept_team(X0,X3,X1,X2) ),
inference(cnf_transformation,[],[f632]) ).
fof(f1628,plain,
! [X2,X3,X0,X1] :
( ~ accept_city(christiansufferterrahumanitarianorganization,towna)
| ~ accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,X0,X1)
| ~ accept_team(christiansufferterrahumanitarianorganization,X2,X3,n3) ),
inference(resolution,[],[f1591,f1255]) ).
fof(f1591,plain,
! [X0,X1] :
( ~ accept_number(christiansufferterrahumanitarianorganization,n3)
| ~ accept_city(christiansufferterrahumanitarianorganization,towna)
| ~ accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,X0,X1) ),
inference(resolution,[],[f1586,f1254]) ).
fof(f1586,plain,
( ~ accept_leader(christiansufferterrahumanitarianorganization,countryafirstaidorganization)
| ~ accept_number(christiansufferterrahumanitarianorganization,n3)
| ~ accept_city(christiansufferterrahumanitarianorganization,towna) ),
inference(resolution,[],[f1256,f633]) ).
fof(f633,plain,
~ accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n3),
inference(cnf_transformation,[],[f558]) ).
fof(f558,plain,
~ accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n3),
inference(flattening,[],[f557]) ).
fof(f557,negated_conjecture,
~ accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n3),
inference(negated_conjecture,[],[f556]) ).
fof(f556,conjecture,
accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query_5) ).
fof(f3168,plain,
! [X0,X1] :
( ~ less(n6,X1)
| ~ accept_city(countryccivilorganization,X0)
| ~ accept_number(countryccivilorganization,X1) ),
inference(resolution,[],[f3165,f1245]) ).
fof(f648,plain,
accept_number(countryccivilorganization,n3),
inference(cnf_transformation,[],[f235]) ).
fof(f235,axiom,
accept_number(countryccivilorganization,n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',event_215) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : AGT005+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n029.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 19:22:08 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 % (10977)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.40 % (10980)WARNING: value z3 for option sas not known
% 0.21/0.40 % (10980)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.40 % (10983)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.21/0.40 % (10979)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.40 % (10981)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.40 % (10982)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.21/0.41 % (10978)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.41 % (10984)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.21/0.44 TRYING [1]
% 0.21/0.45 TRYING [2]
% 0.21/0.49 TRYING [1]
% 0.21/0.50 TRYING [2]
% 0.21/0.50 TRYING [3]
% 0.21/0.52 % (10983)First to succeed.
% 0.21/0.52 % (10983)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-10977"
% 0.21/0.53 % (10983)Refutation found. Thanks to Tanya!
% 0.21/0.53 % SZS status Theorem for theBenchmark
% 0.21/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.53 % (10983)------------------------------
% 0.21/0.53 % (10983)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.53 % (10983)Termination reason: Refutation
% 0.21/0.53
% 0.21/0.53 % (10983)Memory used [KB]: 2637
% 0.21/0.53 % (10983)Time elapsed: 0.121 s
% 0.21/0.53 % (10983)Instructions burned: 256 (million)
% 0.21/0.53 % (10977)Success in time 0.155 s
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