PBSugar: Experimental Results

Table of Contents

Overview

This web page reports the experimental results of PBSugar version 1.1 for all 669 instances of DEC-SMALLINT-LIN (decision problems, small integers, linear constraints) category of 2011 PB competition benchmark set. The following solvers are executed on our environment.

NameDescriptionReference
PBSugarPBSugar version 1.1
Sat4jSat4j PB Res//CP version 2.3.2Le Berre and Parrain {BerreP10}
claspclasp version 2.1.1 (64-bit code)Gebser et al. {GebserKNS07}
bsolobsolo version 3.2 (32-bit code)Manquinho and Silva {ManquinhoS06}
wbowbo version 1.4a (32-bit code)Manquinho et al. {ManquinhoML10}
MiniSat+MiniSat+ version 1.0 (64-bit code)Eén and Sörensson {EenS06}
  • Sat4j PB Rees//CP version 2.3.2 was ranked first in 2012 PB competition DEC-SMALLINT-LIN category.
  • clasp version 2.1.1 is a newer version of clasp version 2.0.6 which was ranked second as the submitted solver in 2012 PB competition DEC-SMALLINT-LIN category.
  • bsolo version 3.2 was ranked third in 2010 PB competition DEC-SMALLINT-LIN category, and its 32-bit binary code is avaiable from 2010 PB competition site.
  • wbo version 1.4a was ranked fourth in 2010 PB competition DEC-SMALLINT-LIN category, and its 32-bit binary code is avaiable from 2010 PB competition site.
  • MiniSat+ version 1.0 was ranked third in 2006 PB competition SATUNSAT-SMALLINT category, and its source code is avaiable from MiniSat+ site.
  • See http://www.cril.univ-artois.fr/PB12/results/ranking.php?idev=67 for the ranking in 2012 PB competition DEC-SMALLINT-LIN category.

Machine Specification and Software Versions

  • CPU: Intel Dual Core Xeon X5260 (L2 cache 6MB) 3.33GHz x 2 (6650 bogomips)
  • Memory: 16GB (4 x 4GB DDR2 SDRAM)
  • OS: Linux kernel version 3.2.0 generic x86_64 (Ubuntu Linux 12.04)
  • Java: Java version 1.6.0_27, OpenJDK Runtime Environment
  • Glucose version 2.1 with SatELite preprocessor (64 bit code)
  • PBSugar version 1.1.1 with default encoding options:
    • sort=d : sort terms with the descending order of coefficients
    • clause : extract clause part from PB constraint
    • cnf=3 : translate directly to CNF by order encoding for the PB constraints containing at most 3 literals
    • decomp=100 : try decomposition of PB constraints for the base up to 100
    • axioms : generate axiom clauses
    • cache : use "reusing cache" of counter matrices
    • share=4 : try to share counter matrices when the length is greater than or equal to 4

Benchmark Instances

  • Download pb-dsl-list.csv.
    • NAME : Name of the instance
    • FAMILY : Name of the family
    • VARS : Number of variables
    • PBS : Number of PB constraints
    • FILE : File name of the instance
Family#InstancesAvg #VarsAvg #Constraints
lopes200475391095387
army12348643
blast837607763
cache963418185607
chnl212290125
dbstv3051600328901
dbstv4052800990001
dbstv50545002559501
dlx3767421764
elf51659347846
fpga36933687
j1202831469104663
j3017429613955
j6018955031142
j90171552450891
neos458465283
ooo193476899704
pig-card204015113
pig-cl204015161208
ppp6462930870
robin68876761
13queen100169101
11tsp111002312707
vdw52472276818
Total19003376878
  • There are 669 instances in 22 families. The family classification is given by {AbioNORM12}.
  • The following 7 instances are included in "lopes" family as classified in {AbioNORM12}.
    • normalized-1096.cudf.paranoid.opb
    • normalized-22s.smv.opb lopes
    • normalized-25s.smv.opb lopes
    • normalized-37s.smv.opb lopes
    • normalized-43s.smv.opb lopes
    • normalized-44s.smv.opb lopes
    • normalized-46s.smv.opb lopes
  • The name of 5 instances are renamed as used in {AbioNORM12}.
    • normalized-ppp:1,3-13,19.opb is renamed to normalized-ppp1-3-13-19.opb.
    • normalized-ppp:1-11,19,21.opb is renmaed to normalized-ppp1-11-19-21.opb.
    • normalized-ppp:1-12,16.opb is renmaed to normalized-ppp1-12-16.opb.
    • normalized-ppp:1-9,16-19.opb is renmaed to normalized-ppp1-9-16-19.opb.
    • normalized-ppp:3-13,25,26.opb is renmaed to normalized-ppp3-13-25-26.opb.

Results on Solving

Number of instances solved

FamilyVBSPBSugarSat4jclaspbsolowboMiniSat+
lopes (200)86814467366564
army (12)118510656
blast (8)8888888
cache (9)9969668
chnl (21)2162132133
dbstv30 (5)5555555
dbstv40 (5)5555555
dbstv50 (5)5555555
dlx (3)3333333
elf (5)5555555
fpga (36)36363634363633
j120 (28)16151516131512
j30 (17)17171717171717
j60 (18)17171717171717
j90 (17)17171717171717
neos (4)2222222
ooo (19)18151517121616
pig-card (20)2022021922
pig-cl (20)2222222
ppp (6)5443434
robin (6)4344333
13queen (100)100100100100100100100
11tsp11 (100)1001001001008510095
vdw (5)3212111
Total (669)515467457453428441433
  • This table shows the number of solved instances within the time limit (1000 seconds).

Time spent for solving

FamilyVBSPBSugarSat4jclaspbsolowboMiniSat+
lopes (200)638657844727847746752
army (12)218359603281565638506
blast (8)08310000
cache (9)117141346164395338221
chnl (21)076118630892861
dbstv30 (5)118682418
dbstv40 (5)2451247163213
dbstv50 (5)6107291231876102
dlx (3)0630200
elf (5)08401810
fpga (36)0316002114
j120 (28)442491489448537474572
j30 (17)01040402
j60 (18)56666056605662
j90 (17)01430001
neos (4)500526523503656500730
ooo (19)140275343180384258244
pig-card (20)2900390362915903
pig-cl (20)901913948904921939901
ppp (6)203340336501336500428
robin (6)334505346334517507533
13queen (100)056024285
11tsp11 (100)71880742860151
vdw (5)490695802620825801801
Average (669)260336357352421379412
  • This table shows the average time spent for solving (in seconds). Time spent for encoding is included.
  • Timeouts and memory overs are counted as 1000 seconds in the average computation.

Cactus Plot

cactus.png

cactus2.png

Enlarged plot from 300 instances to 500 instances

Effect of Reusing/Sharing Counter Matrices

When the reusing/sharing of Counter Matrices is disabled, the performance is declined.

  • PBSugar: default setting
  • PBSugar-Noreuse: "-o no_cache,share=0" option is set

Number of instances solved

FamilyPBSugarPBSugar-Noreuse
lopes (200)8181
army (12)88
blast (8)87
cache (9)97
chnl (21)66
dbstv30 (5)55
dbstv40 (5)55
dbstv50 (5)55
dlx (3)33
elf (5)55
fpga (36)3636
j120 (28)1515
j30 (17)1717
j60 (18)1717
j90 (17)1717
neos (4)22
ooo (19)1513
pig-card (20)22
pig-cl (20)22
ppp (6)44
robin (6)33
13queen (100)100100
11tsp11 (100)100100
vdw (5)22
Total (669)467462

Time spent for solving

FamilyPBSugarPBSugar-Noreuse
lopes (200)657657
army (12)359360
blast (8)83206
cache (9)141276
chnl (21)761761
dbstv30 (5)1826
dbstv40 (5)4560
dbstv50 (5)107147
dlx (3)67
elf (5)812
fpga (36)33
j120 (28)491491
j30 (17)1010
j60 (18)6667
j90 (17)1414
neos (4)526513
ooo (19)275342
pig-card (20)900900
pig-cl (20)913913
ppp (6)340340
robin (6)505505
13queen (100)55
11tsp11 (100)1818
vdw (5)695695
Average (669)336341

Raw Data

  • PBSugar: pbsugar-dsl-results.csv
    • PB : File name of the PB instance
    • FAMILY : Family name of the PB instance
    • VARS : Number of PB variables
    • PBS : Number of PB constraints
    • FIN : Finished (FIN), Timeout (TO), Memory over (MO)
      • Time limit is 1000 seconds
    • RESULT : Satisfiable (SAT), Unsatisfiable (UNSAT), Unknown (UNK)
    • CPU : Total CPU time in seconds
    • ENCODE_CPU : CPU time spent for encoding in seconds
    • SAT_CPU : CPU time spent by SAT solver in seconds
    • CM : Number of Counter Matrices constructed
    • REUSED : Number of times Counter Matrices reused
    • SHARED : Number of times Counter Matrices shared
    • DECOMP : Number of times PB constraits decomposed
    • SAT_VARS : Number of SAT variables
    • SAT_CLAUSES : Number of SAT clauses
  • Other solvers executed on our environment: pbother-dsl-results.csv
    • PB : File name of the PB instance
    • SOLVER : Solver name
    • FIN : Finished (FIN), Timeout (TO), Memory over (MO)
      • Time limit is 1000 seconds
    • RESULT : Satisfiable (SAT), Unsatisfiable (UNSAT), Unknown (UNK)
    • CPU : Total CPU time in seconds

Table of PBSugar Raw Data

PBFAMILYVARSPBSFINRESULTCPUENCODE_CPUSAT_CPUCMREUSEDSHAREDDECOMPSAT_VARSSAT_CLAUSES
normalized-01.opblopes9057194925FINSAT145.5114.66130.7070300019698278033
normalized-02.opblopes7069151430FINUNSAT92.3112.4179.7754600015328215936
normalized-03.opblopes8412181707FINSAT48.0514.2933.5865500018321259182
normalized-04.opblopes6426138234FINUNSAT33.2211.6121.4949800013953197107
normalized-05.opblopes7351155824FINSAT258.3113.13245.0556300015883222262
normalized-06.opblopes316467146FINSAT9.598.540.98242000682795793
normalized-07.opblopes7175155089FINSAT22.0612.659.2755900015632221243
normalized-08.opblopes5191111638FINUNSAT15.7310.615.0240200011266159190
normalized-09.opblopes5398114743FINUNSAT24.9010.2914.5141500011686163753
normalized-100.opblopes10086226240TOUNKT13.08T72000021738318834
normalized-101.opblopes7936176837FINUNSAT75.4311.3263.9856300017045249176
normalized-102.opblopes12587283937TOUNKT16.24T90300027198400140
normalized-103.opblopes10086226240TOUNKT13.09T72000021738318834
normalized-104.opblopes16024353350FINSAT44.7022.1822.25126100034978502721
normalized-105.opblopes33731740544TOUNKT39.58T2643000735111053242
normalized-106.opblopes39025858412TOUNKT46.54T3062000850961220734
normalized-107.opblopes10238224043FINSAT23.9116.457.2980000022271318813
normalized-108.opblopes33731740544TOUNKT39.79T2643000735111053242
normalized-1096.cudf.paranoid.opblopes11FINSAT0.160.070.07000011
normalized-109.opblopes11274247096FINSAT25.0315.359.4988200024537351583
normalized-10.opblopes7880170354FINSAT39.2013.5125.5561400017168242998
normalized-110.opblopes39025858412TOUNKT46.12T3062000850961220734
normalized-111.opblopes33692740354TOUNKT39.65T2642000734511052961
normalized-112.opblopes33692740354TOUNKT39.67T2642000734511052961
normalized-113.opblopes8316181309FINSAT19.8114.145.5264800018069258067
normalized-114.opblopes28939633938TOUNKT35.52T226400063028901752
normalized-115.opblopes16024353350FINSAT44.4623.2120.97126100034978502721
normalized-116.opblopes44846988104TOUNKT52.61T3523000978381405027
normalized-117.opblopes10238224043FINSAT28.7515.6312.9580000022271318813
normalized-118.opblopes11274247096FINSAT27.4017.539.6988200024537351583
normalized-119.opblopes484111121517TOUNKT58.71T35230001049501575406
normalized-11.opblopes5895126892FINUNSAT22.0411.4710.4445700012801180934
normalized-120.opblopes484111121517TOUNKT59.95T35230001049501575406
normalized-121.opblopes552961282690TOUNKT66.55T40300001199781801984
normalized-122.opblopes484111121517TOUNKT59.70T35230001049501575406
normalized-123.opblopes36611853935FINSAT532.5645.95485.972685000796681200159
normalized-124.opblopes29741692942FINUNSAT575.1140.40534.13217800064655973761
normalized-125.opblopes553011282592TOUNKT67.55T40320001200391802175
normalized-126.opblopes484171121431TOUNKT59.65T35250001050121575609
normalized-127.opblopes484111121517TOUNKT59.73T35230001049501575406
normalized-128.opblopes467331087391TOUNKT63.30T34170001015341527780
normalized-129.opblopes483681121286TOUNKT59.25T35220001048841575075
normalized-12.opblopes352875039FINSAT10.719.161.482710007632107095
normalized-130.opblopes41972972388TOUNKT50.85T3056000910181366121
normalized-131.opblopes21928509638FINUNSAT153.1330.46122.27160200047612716211
normalized-132.opblopes551361280712TOUNKT67.66T40240001197081799290
normalized-133.opblopes482531119563TOUNKT58.56T35170001046821572736
normalized-134.opblopes484111121517TOUNKT59.21T35230001049501575406
normalized-135.opblopes552961282690TOUNKT68.76T40300001199781801984
normalized-136.opblopes484111121517TOUNKT59.05T35230001049501575406
normalized-137.opblopes484111121517TOUNKT59.78T35230001049501575406
normalized-138.opblopes483681121286TOUNKT59.20T35220001048841575075
normalized-139.opblopes35834835510FINSAT312.9548.46263.862626000779301174063
normalized-13.opblopes6737135818FINSAT50.279.3840.7856200014673196273
normalized-140.opblopes477591109809TOUNKT58.63T34870001036941559170
normalized-141.opblopes42085974087TOUNKT50.55T3061000912181368436
normalized-142.opblopes482601119489TOUNKT59.56T35190001047451572951
normalized-143.opblopes41972972388TOUNKT51.24T3056000910181366121
normalized-144.opblopes552961282690TOUNKT68.65T40300001199781801984
normalized-145.opblopes484111121517TOUNKT59.16T35230001049501575406
normalized-146.opblopes484171121431TOUNKT59.42T35250001050121575609
normalized-147.opblopes42127974306TOUNKT52.57T3062000912831368755
normalized-148.opblopes482531119563TOUNKT59.25T35170001046821572736
normalized-149.opblopes542061261615TOUNKT72.83T39650001178131772669
normalized-14.opblopes5911120546FINSAT13.908.515.2649800012931174193
normalized-150.opblopes473261100502TOUNKT65.70T34580001027901546151
normalized-151.opblopes42127974306TOUNKT51.12T3062000912831368755
normalized-152.opblopes29741692942FINSAT188.9337.09151.33217800064655973761
normalized-153.opblopes552961282690TOUNKT69.08T40300001199781801984
normalized-154.opblopes484111121517TOUNKT59.46T35230001049501575406
normalized-155.opblopes40423942446TOUNKT53.11T2962000879091324285
normalized-156.opblopes38303893113FINSAT478.8951.29426.932807000833021254986
normalized-157.opblopes41972972388TOUNKT51.22T3056000910181366121
normalized-158.opblopes1132122516734TOUNKT137.51T89570002477503577421
normalized-159.opblopes1024492274228TOUNKT124.76T80940002240483232622
normalized-15.opblopes6809146226FINSAT20.6312.667.8552700014777208508
normalized-160.opblopes1133862518744TOUNKT140.20T89630002480263580087
normalized-161.opblopes1348423153398TOUNKT174.59T98860002932384427911
normalized-162.opblopes26339612374FINSAT101.7132.5568.69192200057129860285
normalized-163.opblopes1350273155676TOUNKT174.75T98920002935334430905
normalized-164.opblopes26339612374FINSAT122.3035.8885.96192200057129860285
normalized-165.opblopes1477643459649TOUNKT202.08T108470003215294858160
normalized-166.opblopes26339612374FINSAT102.1835.8065.93192200057129860285
normalized-167.opblopes1061962493137TOUNKT148.51T78230002314653502016
normalized-168.opblopes1286663016254TOUNKT180.26T94620002802224236303
normalized-169.opblopes1484863472197TOUNKT191.58T108830003228554875236
normalized-16.opblopes11658250186FINSAT856.6015.20841.2090300025344356909
normalized-170.opblopes26339612374FINSAT110.4036.9473.00192200057129860285
normalized-171.opblopes1224072858957TOUNKT157.03T89630002660424014374
normalized-172.opblopes2880806434441TOUNKT431.56T228860006316079145467
normalized-173.opblopes2682415985144TOUNKT351.55T212830005877418506132
normalized-174.opblopes2486595546518TOUNKT326.86T197240005447687882792
normalized-175.opblopes2486595546518TOUNKT325.19T197240005447687882792
normalized-176.opblopes3105717294179TOUNKT472.29T2285700067655210241748
normalized-177.opblopes605361417665FINSAT792.5881.95709.5944470001317331991272
normalized-178.opblopes3343697853489TOUNKT509.70T2460700072836411026750
normalized-179.opblopes3118277317246TOUNKT443.32T2292200067888310273055
normalized-17.opblopes9342199352TOUNKT12.32T72000020256284392
normalized-180.opblopes3118277317246TOUNKT429.19T2292200067888310273055
normalized-181.opblopes3351617866877TOUNKT465.69T2464300072976011044666
normalized-182.opblopes59952714097016TOUNKT875.45T44152000130633319791205
normalized-183.opblopes59952714097016TOUNKT890.69T44152000130633319791205
normalized-184.opblopes102512724132986TOUNKTTTTTTTTT
normalized-185.opblopes184046243FINSAT25.266.6818.5473000394962686
normalized-186.opblopes110324920FINUNSAT118.426.46111.9342000237034392
normalized-187.opblopes150833299FINSAT4.934.290.6173000325746610
normalized-188.opblopes4838027FINUNSAT2.772.380.3721000103811851
normalized-189.opblopes14685417306TOUNKT20.40T73000031195557479
normalized-18.opblopes9342199352FINSAT122.6812.59109.9072000020256284392
normalized-190.opblopes11586326275TOUNKT16.23T57300024587436275
normalized-191.opblopes22941594926TOUNKT29.78T135900049143812886
normalized-192.opblopes15414395824TOUNKT20.37T90700032942541207
normalized-193.opblopes12360315408TOUNKT16.46T72400026368431404
normalized-19.opblopes7351155824FINUNSAT512.3810.38501.8856300015883222262
normalized-20.opblopes9342199352FINSAT317.2812.46304.6672000020256284392
normalized-21.opblopes7351155824FINUNSAT354.1013.43340.5556300015883222262
normalized-22.opblopes9355199372TOUNKT12.38T72200020320284674
normalized-22s.smv.opblopes598515365FINUNSAT13.859.114.73632720003264091446845
normalized-23.opblopes7365155855TOUNKT10.47T56500015948222555
normalized-24.opblopes9342199352TOUNKT12.18T72000020256284392
normalized-25.opblopes7351155824FINUNSAT184.2110.36173.7256300015883222262
normalized-25s.smv.opblopes507212829FINUNSAT11.938.293.61514594002656701177039
normalized-26.opblopes7351155824FINSAT193.139.96183.0556300015883222262
normalized-27.opblopes9355199372TOUNKT12.88T72200020320284674
normalized-28.opblopes7365155855TOUNKT10.14T56500015948222555
normalized-29.opblopes9220197914FINSAT294.6912.94281.5871400020032282298
normalized-30.opblopes7231154408FINUNSAT55.749.8245.7955700015661220190
normalized-31.opblopes9310199239FINSAT404.6512.02392.4771900020203284188
normalized-32.opblopes7320155722FINUNSAT210.8710.25200.4956200015831222069
normalized-33.opblopes7085151483FINSAT112.6511.39101.1154800015395216251
normalized-34.opblopes5398114743FINUNSAT34.5411.3323.0941500011686163753
normalized-35.opblopes9220197914FINSAT109.1511.9797.0371400020032282298
normalized-36.opblopes7231154408FINUNSAT84.9310.7574.0655700015661220190
normalized-37.opblopes9310199239FINSAT556.4012.30543.9571900020203284188
normalized-37s.smv.opblopes11903183FINUNSAT3.012.800.192410400414216167
normalized-38.opblopes7320155722FINUNSAT51.6210.1941.2956200015831222069
normalized-39.opblopes11658250186TOUNKT15.11T90300025344356909
normalized-40.opblopes9342199352TOUNKT11.71T72000020256284392
normalized-41.opblopes5690119124FINSAT84.618.5875.9343400012302170328
normalized-42.opblopes427688544FINUNSAT33.436.9326.423230009196126597
normalized-43.opblopes7175155089FINSAT22.2212.839.2355900015632221243
normalized-43s.smv.opblopes36558686FINUNSAT9.296.352.9232438000167893742414
normalized-44.opblopes5191111638FINUNSAT16.8910.456.3540200011266159190
normalized-44s.smv.opblopes495940FINUNSAT4.604.330.256476001654572240
normalized-45.opblopes428991910FINSAT10.969.571.313310009293131076
normalized-46.opblopes12552283802TOUNKT15.44T90200027140399905
normalized-46s.smv.opblopes16123653FINUNSAT6.245.610.611662140043278188743
normalized-47.opblopes10052226117TOUNKT13.31T71900021681318611
normalized-48.opblopes9956224622FINSAT352.5713.16339.2371400021498316500
normalized-49.opblopes7808175243FINUNSAT72.3711.4060.8355700016807246866
normalized-50.opblopes10086226240TOUNKT13.66T72000021738318834
normalized-51.opblopes7936176837FINUNSAT55.6811.7443.7956300017045249176
normalized-52.opblopes12587283937TOUNKT15.89T90300027198400140
normalized-53.opblopes10086226240TOUNKT13.99T72000021738318834
normalized-54.opblopes10086226240FINSAT597.5713.62583.7972000021738318834
normalized-55.opblopes7936176837FINUNSAT183.8210.75172.9356300017045249176
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normalized-t3002.11tsp11.1900544463.opb11tsp112312707FINSAT4.373.630.7223000265014310
normalized-t3002.11tsp11.1900544484.opb11tsp112312707FINUNSAT19.293.8115.4623000241813150
normalized-t3002.11tsp11.1900545610.opb11tsp112312707FINUNSAT36.974.0632.8923000265814350
normalized-t3002.11tsp11.1900546076.opb11tsp112312707FINUNSAT4.804.170.6123000254213770
normalized-t3002.11tsp11.1900546417.opb11tsp112312707FINUNSAT26.134.0222.0923000253813750
normalized-t3002.11tsp11.1900547334.opb11tsp112312707FINSAT4.413.910.4823000262214170
normalized-t3002.11tsp11.1900547353.opb11tsp112312707FINSAT4.223.900.3023000241413130
normalized-t3002.11tsp11.1900547389.opb11tsp112312707FINUNSAT33.243.9829.2323000255213820
normalized-t3002.11tsp11.1900547416.opb11tsp112312707FINSAT2.472.110.3423000242413180
normalized-t3002.11tsp11.1900547427.opb11tsp112312707FINSAT4.634.070.5423000266014360
normalized-t3002.11tsp11.1900547461.opb11tsp112312707FINSAT4.163.760.3823000256813900
normalized-t3002.11tsp11.1900548667.opb11tsp112312707FINUNSAT90.323.6986.6123000275214820
normalized-t3002.11tsp11.1900549974.opb11tsp112312707FINSAT4.563.720.8223000263414230
normalized-t3002.11tsp11.1900550006.opb11tsp112312707FINUNSAT55.652.8652.7723000262814200
normalized-t3002.11tsp11.1900550720.opb11tsp112312707FINUNSAT46.553.5642.9723000260414080
normalized-t3002.11tsp11.1900551347.opb11tsp112312707FINUNSAT5.583.771.7923000245613340
normalized-t3002.11tsp11.1900551864.opb11tsp112312707FINUNSAT9.413.935.4623000254813800
normalized-t3002.11tsp11.1900552288.opb11tsp112312707FINUNSAT27.093.6423.4323000250613590
normalized-t3002.11tsp11.1900552311.opb11tsp112312707FINSAT3.032.800.2123000245213320
normalized-t3002.11tsp11.1900552423.opb11tsp112312707FINUNSAT5.014.210.7823000234212770
normalized-t3002.11tsp11.1900552735.opb11tsp112312707FINUNSAT5.013.801.1923000250813600
normalized-t3002.11tsp11.1900553606.opb11tsp112312707FINSAT3.592.301.2723000264414280
normalized-t3002.11tsp11.1900553644.opb11tsp112312707FINSAT4.053.860.1723000265814350
normalized-t3002.11tsp11.1900553647.opb11tsp112312707FINUNSAT39.993.7636.2123000252613690
normalized-t3002.11tsp11.1900553812.opb11tsp112312707FINUNSAT4.883.890.9723000254013760
normalized-t3002.11tsp11.1900554067.opb11tsp112312707FINSAT4.564.000.5423000279015010
normalized-t3002.11tsp11.1900554072.opb11tsp112312707FINUNSAT24.143.7320.3923000258613990
normalized-t3002.11tsp11.1900554154.opb11tsp112312707FINSAT4.013.830.1623000267614440
normalized-t3002.11tsp11.1900554373.opb11tsp112312707FINSAT4.123.920.1823000280015060
normalized-t3002.11tsp11.1900554375.opb11tsp112312707FINSAT4.384.170.1923000266814400
normalized-t3002.11tsp11.1900554389.opb11tsp112312707FINSAT4.233.820.3823000261014110
normalized-t3002.11tsp11.1900554420.opb11tsp112312707FINUNSAT7.463.883.5623000259814050
normalized-t3002.11tsp11.1900556231.opb11tsp112312707FINUNSAT22.243.9018.3223000247013410
normalized-t3002.11tsp11.1900557362.opb11tsp112312707FINUNSAT3.132.230.8723000259214020
normalized-t3002.11tsp11.1900557413.opb11tsp112312707FINSAT4.583.840.7123000277214920
normalized-t3002.11tsp11.1900557568.opb11tsp112312707FINSAT3.883.710.1523000280415080
normalized-t3002.11tsp11.1900557574.opb11tsp112312707FINUNSAT11.164.586.5523000256013860
normalized-t3002.11tsp11.1900557957.opb11tsp112312707FINUNSAT20.202.4417.7323000253613740
normalized-t3002.11tsp11.1900558106.opb11tsp112312707FINUNSAT4.694.360.3123000227412430
normalized-t3002.11tsp11.1900558739.opb11tsp112312707FINUNSAT35.353.8231.5023000266214370
normalized-t3002.11tsp11.1900559365.opb11tsp112312707FINSAT4.493.950.5123000256213870
normalized-t3002.11tsp11.1900559416.opb11tsp112312707FINSAT5.963.852.0923000266814400
normalized-t3002.11tsp11.1900559641.opb11tsp112312707FINSAT4.974.650.3023000261714145
normalized-t3002.11tsp11.1900559676.opb11tsp112312707FINUNSAT68.584.2964.2723000276214870
normalized-t3002.11tsp11.1900561288.opb11tsp112312707FINUNSAT94.032.2591.7623000277014910
normalized-t3002.11tsp11.1900561384.opb11tsp112312707FINSAT4.083.810.2523000288015460
normalized-t3002.11tsp11.1900561389.opb11tsp112312707FINSAT4.553.700.8323000249813550
normalized-t3002.11tsp11.1900562192.opb11tsp112312707FINUNSAT8.182.275.8923000239413030
normalized-t3002.11tsp11.1900563250.opb11tsp112312707FINUNSAT24.092.3221.7523000262214170
normalized-t3002.11tsp11.1900563801.opb11tsp112312707FINUNSAT6.003.572.4123000249213520
normalized-t3002.11tsp11.1900564281.opb11tsp112312707FINUNSAT5.583.931.6323000260414080
normalized-t3002.11tsp11.1900564822.opb11tsp112312707FINSAT3.913.690.2023000273414730
normalized-t3002.11tsp11.1900564824.opb11tsp112312707FINUNSAT4.363.580.7623000225412330
normalized-t3002.11tsp11.1900565527.opb11tsp112312707FINSAT4.133.680.4323000247813450
normalized-t3002.11tsp11.1900565534.opb11tsp112312707FINUNSAT21.123.7717.3323000259414030
normalized-t3002.11tsp11.1900566151.opb11tsp112312707FINSAT4.704.460.2223000261614140
normalized-t3002.11tsp11.1900566157.opb11tsp112312707FINUNSAT13.883.4410.4223000228212470
normalized-t3002.11tsp11.1900566263.opb11tsp112312707FINSAT3.983.770.1923000277614940
normalized-t3002.11tsp11.1900566270.opb11tsp112312707FINSAT4.063.810.2323000283015210
normalized-t3002.11tsp11.1900567003.opb11tsp112312707FINSAT4.774.330.4223000249813550
normalized-t3002.11tsp11.1900567024.opb11tsp112312707FINUNSAT4.012.201.7923000239413030
normalized-t3002.11tsp11.1900567135.opb11tsp112312707FINUNSAT14.653.6510.9823000241613140
normalized-t3002.11tsp11.1900567939.opb11tsp112312707FINSAT3.823.640.1623000257613940
normalized-t3002.11tsp11.1900567985.opb11tsp112312707FINUNSAT29.883.7426.1223000263414230
normalized-t3002.11tsp11.1900568186.opb11tsp112312707FINUNSAT6.663.892.7523000252413680
normalized-t3002.11tsp11.1900568706.opb11tsp112312707FINUNSAT17.993.9214.0523000258013960
normalized-t3002.11tsp11.1900568952.opb11tsp112312707FINSAT4.033.670.3423000262414180
normalized-t3002.11tsp11.1900569834.opb11tsp112312707FINUNSAT11.723.668.0423000251813652
normalized-t3002.11tsp11.1900570242.opb11tsp112312707FINUNSAT7.613.743.8523000247413430
normalized-t3002.11tsp11.1900571131.opb11tsp112312707FINSAT4.123.750.3523000264814300
normalized-t3002.11tsp11.1900571132.opb11tsp112312707FINUNSAT46.043.8042.2223000239013010
normalized-t3002.11tsp11.1900571761.opb11tsp112312707FINUNSAT40.073.7336.3123000252613690
normalized-t3002.11tsp11.1900573137.opb11tsp112312707FINUNSAT27.442.2225.2023000258213970
normalized-t3002.11tsp11.1900573901.opb11tsp112312707FINUNSAT39.623.7635.8423000254813800
normalized-t3002.11tsp11.1900574864.opb11tsp112312707FINUNSAT11.383.517.8423000262214170
normalized-t3002.11tsp11.1900574948.opb11tsp112312707FINSAT4.664.380.2623000259214020
normalized-t3002.11tsp11.1900574974.opb11tsp112312707FINSAT3.823.620.1823000260214070
normalized-t3002.11tsp11.1900575442.opb11tsp112312707FINUNSAT20.333.6816.6323000260014060
normalized-t3002.11tsp11.1900576151.opb11tsp112312707FINUNSAT45.592.2143.3623000255213820
normalized-t3002.11tsp11.1900576360.opb11tsp112312707FINUNSAT19.173.7215.4323000246613390
normalized-t3002.11tsp11.1900576918.opb11tsp112312707FINSAT4.123.720.3823000270814600
normalized-t3002.11tsp11.1900576927.opb11tsp112312707FINUNSAT47.333.6743.6423000262214170
normalized-t3002.11tsp11.1900577000.opb11tsp112312707FINSAT2.462.230.2123000270214570
normalized-t3002.11tsp11.1900577940.opb11tsp112312707FINUNSAT63.693.7859.8923000260814100
normalized-t3002.11tsp11.1900579996.opb11tsp112312707FINUNSAT65.003.8061.1823000255913855
normalized-t3002.11tsp11.1900581320.opb11tsp112312707FINUNSAT48.803.6345.1523000268814500
normalized-t3002.11tsp11.1900581321.opb11tsp112312707FINSAT4.254.040.1923000268414480
normalized-t3002.11tsp11.1900582300.opb11tsp112312707FINUNSAT64.443.8560.5723000265014310
normalized-t3002.11tsp11.1900582376.opb11tsp112312707FINSAT3.923.630.2723000242013160
normalized-t3002.11tsp11.1900583053.opb11tsp112312707FINUNSAT58.093.4954.5823000267614440
normalized-t3002.11tsp11.1900584106.opb11tsp112312707FINUNSAT3.982.201.7623000253413730
normalized-t3002.11tsp11.1900584219.opb11tsp112312707FINUNSAT12.553.738.8023000261214120
normalized-t3002.11tsp11.1900667195.opb11tsp112312707FINUNSAT46.503.7842.7023000267014410
normalized-t3002.11tsp11.1900669299.opb11tsp112312707FINSAT2.472.110.3423000253413730
normalized-t3002.11tsp11.1900669309.opb11tsp112312707FINSAT3.942.281.6423000266814400
normalized-t3002.11tsp11.1900669797.opb11tsp112312707FINUNSAT34.852.2832.5523000258213970
normalized-t3002.11tsp11.1900670167.opb11tsp112312707FINUNSAT22.892.5520.3223000256613890
normalized-t3002.11tsp11.1900670234.opb11tsp112312707FINUNSAT77.683.6674.0023000273414730
normalized-t3002.11tsp11.1900670675.opb11tsp112312707FINUNSAT8.513.914.5923000261414130
normalized-t3002.11tsp11.1900670756.opb11tsp112312707FINSAT3.953.630.3023000258814000
normalized-vdw_k3_l5_n550.opbvdw1650113164FINSAT376.346.93369.1700001650114814
normalized-vdw_k3_l6_n1500.opbvdw4500674250FINSAT96.8041.7353.7000004500678750
normalized-vdw_k4_l4_n360.opbvdw144086040TOUNKT5.72T360000396096120
normalized-vdw_k5_l4_n750.opbvdw3750467625TOUNKT20.88T75000010500495375
normalized-vdw_k6_l3_n170.opbvdw102043010TOUNKT3.39T170000289050830

References

  • [AbioNORM12] Ignasi Abío, Robert Nieuwenhuis, Albert Oliveras, Enric Rodríguez-Carbonell, and Valentin Mayer-Eichberger. A New Look at BDDs for Pseudo-Boolean Constraints. Journal of Artificial Intelligence Research, 45:443-480, 2012.
  • [EenS06] Niklas Eén and Niklas Sörensson. Translating pseudo-Boolean constraints into SAT. Journal on Satisfiability, Boolean Modeling and Computation, 2(1-4):1-26, 2006.
  • [BailleuxBR09] Olivier Bailleux, Yacine Boufkhad, and Olivier Roussel. New encodings of pseudo-Boolean constraints into CNF. In Proceedings of the 12th International Conference on Theory and Applications of Satisfiability Testing (SAT 2009), LNCS 5584, pages 181-194, 2009.
  • [ManquinhoS06] Vasco M. Manquinho and João P. Marques Silva. On using cutting planes in pseudo-Boolean optimization. Journal on Satisfiability, Boolean Modeling and Computation, 2(1-4):209-219, 2006.
  • [BerreP10] Daniel Le Berre and Anne Parrain. The Sat4j library, release 2.2. Journal on Satisfiability, Boolean Modeling and Computation, 7(2-3):59-6, 2010.
  • [ManquinhoML10] Vasco M. Manquinho, Ruben Martins, and Inês Lynce. Improving unsatisfiability-based algorithms for Boolean optimization. In Proceedings of the 13th International Conference on Theory and Applications of Satisfiability Testing (SAT 2010), LNCS 6175, pages 181-193, 2010.
  • [SilverthornM10] Bryan Silverthorn and Risto Miikkulainen. Latent class models for algorithm portfolio methods. In Proceedings of the 24th National Conference on Artificial Intelligence (AAAI 2010), 2010.
  • [GebserKNS07] Martin Gebser, Benjamin Kaufmann, André Neumann, and Torsten Schaub. Conflict-driven answer set solving. In Proceedings of the Twentieth International Joint Conference on Artificial Intelligence (IJCAI 2007), AAAI Press/MIT Press, pages 386-392, 2007.

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Date: 2013-06-13 14:37:46 JST

Author: Naoyuki Tamura

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