TSTP Solution File: SWC384-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWC384-1 : TPTP v8.1.0. Released v2.4.0.
% 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 : n028.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 18:43:30 EDT 2022
% Result : Unsatisfiable 2.21s 0.65s
% Output : Refutation 2.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 25
% Syntax : Number of formulae : 64 ( 10 unt; 0 def)
% Number of atoms : 165 ( 23 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 194 ( 93 ~; 92 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 10 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f457,plain,
$false,
inference(avatar_sat_refutation,[],[f255,f265,f285,f289,f305,f307,f313,f333,f358,f456]) ).
fof(f456,plain,
( ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f455]) ).
fof(f455,plain,
( $false
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| spl0_13 ),
inference(subsumption_resolution,[],[f454,f188]) ).
fof(f188,axiom,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
fof(f454,plain,
( ~ ssList(sk3)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| spl0_13 ),
inference(subsumption_resolution,[],[f453,f245]) ).
fof(f245,plain,
( ssList(sk6)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f243,plain,
( spl0_1
<=> ssList(sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f453,plain,
( ~ ssList(sk6)
| ~ ssList(sk3)
| ~ spl0_8
| ~ spl0_9
| spl0_13 ),
inference(subsumption_resolution,[],[f452,f304]) ).
fof(f304,plain,
( ~ segmentP(sk4,sk3)
| spl0_13 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f302,plain,
( spl0_13
<=> segmentP(sk4,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f452,plain,
( segmentP(sk4,sk3)
| ~ ssList(sk6)
| ~ ssList(sk3)
| ~ spl0_8
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f451,f210]) ).
fof(f210,plain,
ssList(sk4),
inference(definition_unfolding,[],[f187,f190]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f187,axiom,
ssList(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).
fof(f451,plain,
( ~ ssList(sk4)
| segmentP(sk4,sk3)
| ~ ssList(sk3)
| ~ ssList(sk6)
| ~ spl0_8
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f448,f278]) ).
fof(f278,plain,
( ssList(sk7)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f276,plain,
( spl0_8
<=> ssList(sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f448,plain,
( ~ ssList(sk7)
| ~ ssList(sk3)
| ~ ssList(sk4)
| segmentP(sk4,sk3)
| ~ ssList(sk6)
| ~ spl0_9 ),
inference(superposition,[],[f228,f284]) ).
fof(f284,plain,
( sk4 = app(app(sk6,sk3),sk7)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f282]) ).
fof(f282,plain,
( spl0_9
<=> sk4 = app(app(sk6,sk3),sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f228,plain,
! [X2,X0,X1] :
( segmentP(app(app(X0,X1),X2),X1)
| ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0) ),
inference(equality_resolution,[],[f173]) ).
fof(f173,axiom,
! [X2,X3,X0,X1] :
( ~ ssList(X3)
| segmentP(X3,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| app(app(X0,X1),X2) != X3
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).
fof(f358,plain,
( spl0_12
| ~ spl0_3
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f357,f262,f252,f298]) ).
fof(f298,plain,
( spl0_12
<=> singletonP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f252,plain,
( spl0_3
<=> ssItem(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f262,plain,
( spl0_5
<=> sk3 = cons(sk5,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f357,plain,
( singletonP(sk3)
| ~ spl0_3
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f356,f254]) ).
fof(f254,plain,
( ssItem(sk5)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f356,plain,
( ~ ssItem(sk5)
| singletonP(sk3)
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f351,f188]) ).
fof(f351,plain,
( ~ ssList(sk3)
| ~ ssItem(sk5)
| singletonP(sk3)
| ~ spl0_5 ),
inference(superposition,[],[f235,f264]) ).
fof(f264,plain,
( sk3 = cons(sk5,nil)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f235,plain,
! [X0] :
( ~ ssList(cons(X0,nil))
| ~ ssItem(X0)
| singletonP(cons(X0,nil)) ),
inference(equality_resolution,[],[f116]) ).
fof(f116,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,nil) != X1
| singletonP(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).
fof(f333,plain,
( ~ spl0_4
| ~ spl0_3
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f332,f262,f252,f257]) ).
fof(f257,plain,
( spl0_4
<=> nil = sk3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f332,plain,
( nil != sk3
| ~ spl0_3
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f331,f8]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f331,plain,
( nil != sk3
| ~ ssList(nil)
| ~ spl0_3
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f330,f254]) ).
fof(f330,plain,
( ~ ssItem(sk5)
| nil != sk3
| ~ ssList(nil)
| ~ spl0_5 ),
inference(superposition,[],[f98,f264]) ).
fof(f98,axiom,
! [X0,X1] :
( nil != cons(X0,X1)
| ~ ssItem(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).
fof(f313,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f312]) ).
fof(f312,plain,
( $false
| ~ spl0_2 ),
inference(unit_resulting_resolution,[],[f8,f310,f237]) ).
fof(f237,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f224]) ).
fof(f224,plain,
! [X1] :
( ~ ssList(X1)
| ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(equality_resolution,[],[f115]) ).
fof(f115,axiom,
! [X0,X1] :
( ~ neq(X0,X1)
| ~ ssList(X0)
| X0 != X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).
fof(f310,plain,
( neq(nil,nil)
| ~ spl0_2 ),
inference(backward_demodulation,[],[f208,f249]) ).
fof(f249,plain,
( nil = sk4
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f247,plain,
( spl0_2
<=> nil = sk4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f208,plain,
neq(sk4,nil),
inference(definition_unfolding,[],[f192,f190]) ).
fof(f192,axiom,
neq(sk2,nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f307,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f201,f257,f243]) ).
fof(f201,axiom,
( nil = sk3
| ssList(sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
fof(f305,plain,
( ~ spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f209,f302,f298]) ).
fof(f209,plain,
( ~ segmentP(sk4,sk3)
| ~ singletonP(sk3) ),
inference(definition_unfolding,[],[f207,f191,f190,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f207,axiom,
( ~ singletonP(sk1)
| ~ segmentP(sk2,sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_22) ).
fof(f289,plain,
( spl0_2
| spl0_8 ),
inference(avatar_split_clause,[],[f196,f276,f247]) ).
fof(f196,axiom,
( ssList(sk7)
| nil = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f285,plain,
( spl0_2
| spl0_9 ),
inference(avatar_split_clause,[],[f198,f282,f247]) ).
fof(f198,axiom,
( sk4 = app(app(sk6,sk3),sk7)
| nil = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f265,plain,
( spl0_5
| spl0_2 ),
inference(avatar_split_clause,[],[f197,f247,f262]) ).
fof(f197,axiom,
( nil = sk4
| sk3 = cons(sk5,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f255,plain,
( spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f193,f247,f252]) ).
fof(f193,axiom,
( nil = sk4
| ssItem(sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWC384-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % 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 : n028.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 19:01:34 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.55 % (5328)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)
% 0.20/0.55 % (5320)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)
% 0.20/0.56 % (5340)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)
% 0.20/0.56 % (5324)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.56 % (5332)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.57 % (5336)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)
% 0.20/0.58 % (5325)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)
% 0.20/0.59 % (5314)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)
% 0.20/0.59 % (5315)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)
% 0.20/0.59 % (5317)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)
% 0.20/0.59 % (5337)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)
% 0.20/0.59 TRYING [1]
% 0.20/0.59 % (5316)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)
% 0.20/0.60 % (5326)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.60 % (5329)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)
% 0.20/0.60 TRYING [2]
% 0.20/0.60 % (5327)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.61 % (5321)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.61 % (5339)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.61 % (5334)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)
% 0.20/0.62 % (5318)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.62 % (5335)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.62 % (5338)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.62 % (5331)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.84/0.62 % (5333)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)
% 1.84/0.62 % (5319)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)
% 1.84/0.63 % (5323)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)
% 1.84/0.63 % (5342)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.84/0.63 % (5322)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.84/0.63 % (5321)Instruction limit reached!
% 1.84/0.63 % (5321)------------------------------
% 1.84/0.63 % (5321)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.63 % (5321)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.63 % (5321)Termination reason: Unknown
% 1.84/0.63 % (5321)Termination phase: Saturation
% 1.84/0.63
% 1.84/0.63 % (5321)Memory used [KB]: 5628
% 1.84/0.63 % (5321)Time elapsed: 0.153 s
% 1.84/0.63 % (5321)Instructions burned: 7 (million)
% 1.84/0.63 % (5321)------------------------------
% 1.84/0.63 % (5321)------------------------------
% 1.84/0.63 % (5322)Instruction limit reached!
% 1.84/0.63 % (5322)------------------------------
% 1.84/0.63 % (5322)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.63 % (5322)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.63 % (5322)Termination reason: Unknown
% 1.84/0.63 % (5322)Termination phase: Function definition elimination
% 1.84/0.63
% 1.84/0.63 % (5322)Memory used [KB]: 1023
% 1.84/0.63 % (5322)Time elapsed: 0.003 s
% 1.84/0.63 % (5322)Instructions burned: 2 (million)
% 1.84/0.63 % (5322)------------------------------
% 1.84/0.63 % (5322)------------------------------
% 1.84/0.63 % (5343)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)
% 1.84/0.63 % (5330)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)
% 1.84/0.63 % (5341)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)
% 1.84/0.64 % (5315)First to succeed.
% 1.84/0.64 % (5320)Instruction limit reached!
% 1.84/0.64 % (5320)------------------------------
% 1.84/0.64 % (5320)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.65 TRYING [1]
% 2.21/0.65 % (5320)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.65 % (5320)Termination reason: Unknown
% 2.21/0.65 % (5320)Termination phase: Finite model building constraint generation
% 2.21/0.65
% 2.21/0.65 % (5320)Memory used [KB]: 7036
% 2.21/0.65 % (5320)Time elapsed: 0.195 s
% 2.21/0.65 % (5320)Instructions burned: 52 (million)
% 2.21/0.65 % (5320)------------------------------
% 2.21/0.65 % (5320)------------------------------
% 2.21/0.65 % (5315)Refutation found. Thanks to Tanya!
% 2.21/0.65 % SZS status Unsatisfiable for theBenchmark
% 2.21/0.65 % SZS output start Proof for theBenchmark
% See solution above
% 2.21/0.65 % (5315)------------------------------
% 2.21/0.65 % (5315)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.65 % (5315)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.65 % (5315)Termination reason: Refutation
% 2.21/0.65
% 2.21/0.65 % (5315)Memory used [KB]: 6012
% 2.21/0.65 % (5315)Time elapsed: 0.170 s
% 2.21/0.65 % (5315)Instructions burned: 17 (million)
% 2.21/0.65 % (5315)------------------------------
% 2.21/0.65 % (5315)------------------------------
% 2.21/0.65 % (5313)Success in time 0.293 s
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