Criteria: -removed,-notuptodate,-changed,-unmet_recommends

Caption and more info below table.

TIMEOUT (t) WRONG (w) BEST (b) FASTEST (b) UNSAT (u) SUBOPTIMAL (s)
Problem mccs+cbc mccs+cplex mccs+glpk mccs+gurobi mccs+lpsolve mccs+scip packup+core_merge packup+core_merge_dc packup+core_rebuild packup+core_rebuild_dc packup+core_rebuild_incr packup+core_rebuild_incr_dc packup+core_static packup+binary packup+linear-su packup+linear-us Problem
rand439.cudf Time: 180.179s
t
Time: 59.4047s
b 154 446 446 79
Time: 180.031s
t
Time: 41.8751s
b 154 446 446 79
Time: 180.122s
t
Time: 180.635s
t
SN 1: 724w 207981c
SN 2: 1130w 430598c
SN 3: 1974w 375692c
SN 4: 345w 15219c
Time: 183.145s
t 289 1805 3405 514
SN 1: 474w 8930c
SN 2: 763w 16809c
SN 3: 954w 22245c
SN 4: 107w 1186c
Time: 180.295s
t 176 444 645 46
SN 1: 512w 9727c
SN 2: 679w 14566c
SN 3: 604w 12457c
SN 4: 4w 5c
Time: 180.252s
t 289 1805 3405 514
SN 1: 474w 8930c
SN 2: 763w 16809c
SN 3: 954w 22245c
SN 4: 107w 1186c
Time: 180.28s
t 176 444 645 46
Time: 33.5274s
w
SN 1: 474w 8930c
SN 2: 763w 16809c
SN 3: 954w 22245c
SN 4: 107w 1186c
Time: 180.293s
t 176 444 645 46
SN 1: 901w 20732c
SN 2: 3518w 116979c
SN 3: 5218w 191978c
SN 4: 3540w 117849c
Time: 181.492s
t 289 1805 3405 514
SN 1: 901w 20732c
SN 2: 3518w 116979c
SN 3: 5218w 191978c
SN 4: 3540w 117849c
Time: 180.811s
t 365 552 552 78
SN 1: 901w 20732c
SN 2: 3518w 116979c
SN 3: 5218w 191978c
SN 4: 3540w 117849c
Time: 180.866s
t 190 655 573 116
SN 1: 901w 20732c
SN 2: 3518w 116979c
SN 3: 5218w 191978c
SN 4: 3540w 117849c
Time: 180.896s
t 289 1805 3405 514
rand439.cudf
rand375.cudf Time: 180.141s
t
Time: 15.0076s
s 25 269 269 25
Time: 180.029s
t
Time: 11.7635s
b 24 269 269 25
Time: 180.04s
t
Time: 180.495s
t
SN 1: 137w 9070c
SN 2: 540w 145176c
SN 3: 579w 153528c
SN 4: 33w 418c
Time: 180.628s
t 172 778 2269 420
SN 1: 162w 2129c
SN 2: 534w 10457c
SN 3: 564w 11325c
SN 4: 34w 219c
Time: 180.148s
t 14 312 286 20
SN 1: 128w 1471c
SN 2: 535w 10486c
SN 3: 572w 11533c
SN 4: 36w 241c
Time: 180.155s
t 172 778 2269 420
SN 1: 162w 2129c
SN 2: 534w 10457c
SN 3: 564w 11325c
SN 4: 34w 219c
Time: 180.109s
t 14 312 286 20
Time: 46.202s
w
SN 1: 162w 2129c
SN 2: 534w 10457c
SN 3: 564w 11325c
SN 4: 34w 219c
Time: 180.15s
t 14 312 286 20
SN 1: 538w 10573c
SN 2: 2126w 61883c
SN 3: 3426w 113445c
SN 4: 1760w 48975c
Time: 180.521s
t 172 778 2269 420
SN 1: 538w 10573c
SN 2: 2126w 61883c
SN 3: 3426w 113445c
SN 4: 1760w 48975c
Time: 180.524s
t 43 500 49 33
SN 1: 538w 10573c
SN 2: 2126w 61883c
SN 3: 3426w 113445c
SN 4: 1760w 48975c
Time: 180.49s
t 154 189 419 48
SN 1: 538w 10573c
SN 2: 2126w 61883c
SN 3: 3426w 113445c
SN 4: 1760w 48975c
Time: 180.585s
t 172 778 2269 420
rand375.cudf
rand790.cudf Time: 180.16s
t
Time: 23.4421s
b 382 475 478 63
Time: 180.032s
t
Time: 27.595s
b 382 475 478 63
Time: 180.055s
t
Time: 180.426s
t
SN 1: 581w 164866c
SN 2: 597w 161334c
SN 3: 950w 391231c
SN 4: 68w 2160c
Time: 41.2462s
b 382 475 478 63
SN 1: 220w 3766c
SN 2: 603w 14547c
SN 3: 810w 21144c
SN 4: 158w 2278c
Time: 7.61916s
b 382 475 478 63
SN 1: 503w 9570c
SN 2: 424w 7775c
SN 3: 771w 17018c
SN 4: 6w 12c
Time: 180.205s
t 539 1454 3249 448
SN 1: 321w 5379c
SN 2: 797w 17824c
SN 3: 1309w 33890c
SN 4: 370w 6518c
Time: 30.7703s
b 382 475 478 63
Time: 27.1876s
w
SN 1: 347w 6009c
SN 2: 879w 20144c
SN 3: 1383w 36407c
SN 4: 385w 6820c
Time: 56.6465s
b 382 475 478 63
SN 1: 862w 19675c
SN 2: 3694w 124007c
SN 3: 5337w 197613c
SN 4: 3790w 127811c
Time: 144.038s
b 382 475 478 63
SN 1: 862w 19675c
SN 2: 3694w 124007c
SN 3: 5337w 197613c
SN 4: 3790w 127811c
Time: 64.024s
b 382 475 478 63
SN 1: 862w 19675c
SN 2: 3694w 124007c
SN 3: 5337w 197613c
SN 4: 3790w 127811c
Time: 169.33s
b 382 475 478 63
SN 1: 862w 19675c
SN 2: 3694w 124007c
SN 3: 5337w 197613c
SN 4: 3790w 127811c
Time: 31.3693s
b 382 475 478 63
rand790.cudf
rand598.cudf Time: 180.145s
t
Time: 43.792s
b 120 447 447 46
Time: 180.102s
t
Time: 26.1464s
b 120 447 447 46
Time: 180.05s
t
Time: 180.43s
t
SN 1: 755w 204717c
SN 2: 1279w 435400c
SN 3: 2185w 426989c
SN 4: 435w 20494c
Time: 183.476s
t 500 1077 2715 511
SN 1: 442w 8184c
SN 2: 831w 18770c
SN 3: 959w 22355c
SN 4: 77w 750c
Time: 180.173s
t 193 473 541 41
SN 1: 580w 11761c
SN 2: 817w 18406c
SN 3: 874w 20019c
SN 4: 20w 97c
Time: 180.284s
t 500 1077 2715 511
SN 1: 442w 8184c
SN 2: 831w 18770c
SN 3: 959w 22355c
SN 4: 77w 750c
Time: 180.232s
t 193 473 541 41
Time: 75.959s
w
SN 1: 442w 8184c
SN 2: 831w 18770c
SN 3: 959w 22355c
SN 4: 77w 750c
Time: 180.166s
t 193 473 541 41
SN 1: 850w 19351c
SN 2: 2674w 83707c
SN 3: 3887w 131590c
SN 4: 2245w 66717c
Time: 180.618s
t 500 1077 2715 511
SN 1: 850w 19351c
SN 2: 2674w 83707c
SN 3: 3887w 131590c
SN 4: 2245w 66717c
Time: 180.635s
t 146 678 421 99
SN 1: 850w 19351c
SN 2: 2674w 83707c
SN 3: 3887w 131590c
SN 4: 2245w 66717c
Time: 180.667s
t 276 653 707 93
SN 1: 850w 19351c
SN 2: 2674w 83707c
SN 3: 3887w 131590c
SN 4: 2245w 66717c
Time: 180.759s
t 500 1077 2715 511
rand598.cudf
e381ba7e-a192-11e0-8647-00163e1e087d.cudf Time: 180.178s
t
Time: 16.3553s
b 79 219 219 61
Time: 180.036s
t
Time: 11.3488s
b 79 219 219 61
Time: 180.031s
t
Time: 180.298s
t
SN 1: 231w 12682c
SN 2: 434w 93961c
SN 3: 669w 154697c
SN 4: 85w 2839c
Time: 180.526s
t 199 820 1949 368
SN 1: 189w 2620c
SN 2: 432w 7951c
SN 3: 676w 14473c
SN 4: 88w 903c
Time: 180.219s
t 40 268 205 60
SN 1: 235w 3491c
SN 2: 433w 7983c
SN 3: 646w 13595c
SN 4: 78w 762c
Time: 180.229s
t 199 820 1949 368
SN 1: 189w 2620c
SN 2: 432w 7951c
SN 3: 676w 14473c
SN 4: 88w 903c
Time: 180.109s
t 40 268 205 60
Time: 57.4683s
w
SN 1: 189w 2620c
SN 2: 432w 7951c
SN 3: 676w 14473c
SN 4: 88w 903c
Time: 180.128s
t 40 268 205 60
SN 1: 899w 20663c
SN 2: 1779w 49596c
SN 3: 2800w 88591c
SN 4: 1392w 36671c
Time: 180.448s
t 199 820 1949 368
SN 1: 899w 20663c
SN 2: 1779w 49596c
SN 3: 2800w 88591c
SN 4: 1392w 36671c
Time: 180.497s
t 0 433 8 93
SN 1: 899w 20663c
SN 2: 1779w 49596c
SN 3: 2800w 88591c
SN 4: 1392w 36671c
Time: 180.329s
t 2 406 32 96
SN 1: 899w 20663c
SN 2: 1779w 49596c
SN 3: 2800w 88591c
SN 4: 1392w 36671c
Time: 180.452s
t 199 820 1949 368
e381ba7e-a192-11e0-8647-00163e1e087d.cudf
0207e19a-9b1c-11df-af69-00163e46d37a.cudf Time: 18.583s
s 0 403 402 79
Time: 3.25216s
s 0 403 402 79
Time: 180.025s
t
Time: 3.0278s
b 0 403 402 78
Time: 180.026s
t
Time: 45.3488s
b 0 403 402 78
SN 1: 0w 0c
SN 2: 748w 277819c
SN 3: 814w 288787c
SN 4: 103w 4413c
Time: 180.952s
t 0 912 1932 313
SN 1: 0w 0c
SN 2: 632w 13203c
SN 3: 738w 16167c
SN 4: 91w 951c
Time: 180.164s
t 0 337 515 69
SN 1: 0w 0c
SN 2: 747w 16421c
SN 3: 819w 18469c
SN 4: 105w 1155c
Time: 180.237s
t 0 912 1932 313
SN 1: 0w 0c
SN 2: 632w 13203c
SN 3: 738w 16167c
SN 4: 91w 951c
Time: 180.113s
t 0 337 515 69
SN 1: 0w 0c
SN 2: 435w 8034c
SN 3: 394w 7066c
SN 4: 5w 9c
Time: 183.708s
t 0 912 1932 313
SN 1: 0w 0c
SN 2: 632w 13203c
SN 3: 738w 16167c
SN 4: 91w 951c
Time: 180.132s
t 0 337 515 69
SN 1: 0w 0c
SN 2: 1952w 55407c
SN 3: 3030w 97489c
SN 4: 1573w 42666c
Time: 180.305s
t 0 912 1932 313
SN 1: 0w 0c
SN 2: 1952w 55407c
SN 3: 3030w 97489c
SN 4: 1573w 42666c
Time: 180.488s
t 0 483 482 99
SN 1: 0w 0c
SN 2: 1952w 55407c
SN 3: 3030w 97489c
SN 4: 1573w 42666c
Time: 180.465s
t 0 698 144 80
SN 1: 0w 0c
SN 2: 1952w 55407c
SN 3: 3030w 97489c
SN 4: 1573w 42666c
Time: 180.4s
t 0 912 1932 313
0207e19a-9b1c-11df-af69-00163e46d37a.cudf
caefdef6-3477-11e0-84ef-00163e3d3b7c.cudf Time: 7.46775s
s 0 238 239 35
Time: 1.57314s
b 0 239 238 34
Time: 180.117s
t
Time: 1.31945s
b 0 239 238 34
Time: 180.015s
t
Time: 14.2051s
s 0 239 238 35
SN 1: 0w 0c
SN 2: 446w 99235c
SN 3: 532w 116259c
SN 4: 42w 688c
Time: 180.573s
t 0 344 1231 151
SN 1: 0w 0c
SN 2: 444w 8221c
SN 3: 529w 10297c
SN 4: 41w 298c
Time: 180.165s
t 0 114 386 30
SN 1: 0w 0c
SN 2: 447w 8277c
SN 3: 529w 10297c
SN 4: 42w 309c
Time: 180.176s
t 0 344 1231 151
SN 1: 0w 0c
SN 2: 444w 8221c
SN 3: 529w 10297c
SN 4: 41w 298c
Time: 180.159s
t 0 114 386 30
Time: 65.994s
w
SN 1: 0w 0c
SN 2: 444w 8221c
SN 3: 529w 10297c
SN 4: 41w 298c
Time: 180.166s
t 0 114 386 30
SN 1: 0w 0c
SN 2: 739w 16200c
SN 3: 3152w 102399c
SN 4: 1434w 38090c
Time: 180.287s
t 0 344 1231 151
SN 1: 0w 0c
SN 2: 739w 16200c
SN 3: 3152w 102399c
SN 4: 1434w 38090c
Time: 180.267s
t 0 239 307 42
SN 1: 0w 0c
SN 2: 739w 16200c
SN 3: 3152w 102399c
SN 4: 1434w 38090c
Time: 180.295s
t 0 305 309 46
SN 1: 0w 0c
SN 2: 739w 16200c
SN 3: 3152w 102399c
SN 4: 1434w 38090c
Time: 180.257s
t 0 344 1231 151
caefdef6-3477-11e0-84ef-00163e3d3b7c.cudf
f4ebf9e0-360e-11e0-9e6c-00163e3d3b7c.cudf Time: 7.31053s
s 0 166 166 33
Time: 1.43393s
b 0 166 166 32
Time: 180.023s
t
Time: 1.23849s
b 0 166 166 32
Time: 180.02s
t
Time: 12.6013s
b 0 166 166 32
SN 1: 0w 0c
SN 2: 307w 46954c
SN 3: 386w 57849c
SN 4: 36w 568c
Time: 180.216s
t 0 258 1151 152
SN 1: 0w 0c
SN 2: 297w 4862c
SN 3: 381w 6743c
SN 4: 36w 241c
Time: 180.177s
t 0 101 243 31
SN 1: 0w 0c
SN 2: 307w 5090c
SN 3: 387w 6881c
SN 4: 36w 241c
Time: 180.082s
t 0 258 1151 152
SN 1: 0w 0c
SN 2: 297w 4862c
SN 3: 381w 6743c
SN 4: 36w 241c
Time: 180.065s
t 0 101 243 31
SN 1: 0w 0c
SN 2: 307w 5090c
SN 3: 386w 6850c
SN 4: 36w 241c
Time: 183.007s
t 0 258 1151 152
SN 1: 0w 0c
SN 2: 297w 4862c
SN 3: 381w 6743c
SN 4: 36w 241c
Time: 180.158s
t 0 101 243 31
SN 1: 0w 0c
SN 2: 599w 12328c
SN 3: 3135w 101641c
SN 4: 1469w 39204c
Time: 180.248s
t 0 258 1151 152
SN 1: 0w 0c
SN 2: 599w 12328c
SN 3: 3135w 101641c
SN 4: 1469w 39204c
Time: 180.229s
t 0 287 286 49
SN 1: 0w 0c
SN 2: 599w 12328c
SN 3: 3135w 101641c
SN 4: 1469w 39204c
Time: 180.226s
t 0 214 157 33
SN 1: 0w 0c
SN 2: 599w 12328c
SN 3: 3135w 101641c
SN 4: 1469w 39204c
Time: 180.235s
t 0 258 1151 152
f4ebf9e0-360e-11e0-9e6c-00163e3d3b7c.cudf
rand692.cudf Time: 29.7877s
b 94 139 140 16
Time: 4.65758s
b 94 140 139 16
Time: 180.114s
t
Time: 3.47279s
b 94 140 139 16
Time: 180.008s
t
Time: 55.8148s
b 94 139 140 16
SN 1: 300w 27474c
SN 2: 218w 21433c
SN 3: 505w 60220c
SN 4: 72w 1446c
Time: 180.25s
t 142 207 1476 34
SN 1: 42w 309c
SN 2: 182w 2503c
SN 3: 214w 3101c
SN 4: 17w 74c
Time: 180.087s
t 127 180 139 0
SN 1: 434w 8008c
SN 2: 234w 3471c
SN 3: 571w 11514c
SN 4: 102w 1110c
Time: 180.084s
t 142 207 1476 34
SN 1: 42w 309c
SN 2: 182w 2503c
SN 3: 214w 3101c
SN 4: 17w 74c
Time: 180.085s
t 127 180 139 0
SN 1: 278w 4416c
SN 2: 208w 2975c
SN 3: 436w 8053c
SN 4: 56w 459c
Time: 181.16s
t 142 207 1476 34
SN 1: 42w 309c
SN 2: 182w 2503c
SN 3: 214w 3101c
SN 4: 17w 74c
Time: 180.088s
t 127 180 139 0
SN 1: 1461w 38978c
SN 2: 477w 8993c
SN 3: 2999w 96348c
SN 4: 1068w 25765c
Time: 180.376s
t 142 207 1476 34
SN 1: 1461w 38978c
SN 2: 477w 8993c
SN 3: 2999w 96348c
SN 4: 1068w 25765c
Time: 180.375s
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SN 1: 1461w 38978c
SN 2: 477w 8993c
SN 3: 2999w 96348c
SN 4: 1068w 25765c
Time: 180.361s
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SN 1: 1461w 38978c
SN 2: 477w 8993c
SN 3: 2999w 96348c
SN 4: 1068w 25765c
Time: 180.525s
t 142 207 1476 34
rand692.cudf
rand740.cudf Time: 180.153s
t
Time: 14.5201s
b 24 269 269 26
Time: 180.113s
t
Time: 11.7037s
b 24 269 269 26
Time: 180.038s
t
Time: 180.327s
t
SN 1: 145w 10059c
SN 2: 542w 146482c
SN 3: 576w 153626c
SN 4: 32w 382c
Time: 180.846s
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SN 1: 172w 2321c
SN 2: 548w 10861c
SN 3: 565w 11358c
SN 4: 30w 178c
Time: 180.214s
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SN 1: 265w 4096c
SN 2: 579w 11732c
SN 3: 665w 14167c
SN 4: 65w 565c
Time: 180.148s
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SN 2: 548w 10861c
SN 3: 565w 11358c
SN 4: 30w 178c
Time: 180.125s
t 23 310 280 18
SN 1: 105w 1155c
SN 2: 388w 6905c
SN 3: 368w 6463c
SN 4: 1w 0c
Time: 33.7439s
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SN 2: 548w 10861c
SN 3: 565w 11358c
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Time: 180.14s
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SN 2: 2126w 61883c
SN 3: 3426w 113445c
SN 4: 1760w 48975c
Time: 180.532s
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SN 2: 2126w 61883c
SN 3: 3426w 113445c
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Time: 180.523s
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SN 3: 3426w 113445c
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Time: 180.472s
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Time: 180.563s
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rand740.cudf
rand434.cudf Time: 27.1573s
b 40 144 143 20
Time: 4.03673s
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Time: 180.022s
t
Time: 3.45284s
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Time: 180.017s
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Time: 45.9564s
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Time: 180.263s
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Time: 180.167s
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Time: 180.16s
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Time: 180.164s
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Time: 180.168s
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Time: 180.32s
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Time: 180.373s
t 1390 42 1469 33
rand434.cudf
c2164c84-b015-11df-8b50-00163e46d37a.cudf Time: 4.24289s
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Time: 180.11s
t
Time: 4.48031s
b 0 19 19 19
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Time: 27.9816s
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Time: 8.8627s
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Time: 180.156s
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Time: 180.148s
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Time: 180.18s
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Time: 180.146s
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Time: 180.156s
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c2164c84-b015-11df-8b50-00163e46d37a.cudf
56ae4afa-0b33-11df-8a2b-00163e1d94dc.cudf Time: 180.153s
t
Time: 20.7406s
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SN 1: 550w 10927c
SN 2: 2126w 61883c
SN 3: 3426w 113445c
SN 4: 1760w 48975c
Time: 180.517s
t 18 519 21 30
SN 1: 550w 10927c
SN 2: 2126w 61883c
SN 3: 3426w 113445c
SN 4: 1760w 48975c
Time: 180.62s
t 164 843 2443 432
rand796.cudf
rand21.cudf Time: 180.13s
t
Time: 33.0696s
b 24 1012 1012 24
Time: 180.032s
t
Time: 28.4256s
b 24 1012 1012 24
Time: 180.14s
t
Time: 180.536s
t
Time: 178.091s
w
SN 1: 461w 8632c
SN 2: 1984w 56415c
SN 3: 2009w 57278c
SN 4: 29w 171c
Time: 180.428s
t 49 1033 1215 15
SN 1: 311w 5177c
SN 2: 744w 16331c
SN 3: 696w 15019c
SN 4: 2w 1c
Time: 180.258s
t 983 867 3500 696
SN 1: 461w 8632c
SN 2: 1984w 56415c
SN 3: 2009w 57278c
SN 4: 29w 171c
Time: 180.273s
t 49 1033 1215 15
Time: 33.8415s
w
SN 1: 461w 8632c
SN 2: 1984w 56415c
SN 3: 2009w 57278c
SN 4: 29w 171c
Time: 180.496s
t 49 1033 1215 15
SN 1: 2730w 85983c
SN 2: 3064w 98611c
SN 3: 4682w 167452c
SN 4: 3176w 103395c
Time: 180.792s
t 983 867 3500 696
SN 1: 2730w 85983c
SN 2: 3064w 98611c
SN 3: 4682w 167452c
SN 4: 3176w 103395c
Time: 180.926s
t 529 1378 1750 72
SN 1: 2730w 85983c
SN 2: 3064w 98611c
SN 3: 4682w 167452c
SN 4: 3176w 103395c
Time: 181.183s
t 73 1838 251 34
SN 1: 2730w 85983c
SN 2: 3064w 98611c
SN 3: 4682w 167452c
SN 4: 3176w 103395c
Time: 180.95s
t 983 867 3500 696
rand21.cudf

Each cell has two pieces of data:

* Time in seconds:

- In the case of packup, we also show the size of the sorting networks: the number of wires and the number of comparators. In the case of dynamic sorting networks, we show the size of the largest sorting networks.

* one of the following letters:

- t (if the solver reached a timeout (180 seconds); the numbers that follow are the values of the objective functions for the feasible solution output by the solver

- u (if the solver outputs UNSAT)

- w (if the output is wrong)

- s (if the output is a feasible solution and is suboptimal; the numbers that follow are the objective values)

- b (if the output is a solution and no better solution was found; the numbers that follow are the objective values)

142 Benchmarks: From the Mancoosi International Solver Competition 2011. Available here.

All solutions and objective values were checked using the Mancoosi cudf solution checker available here.

Environment: 24 core Intel(R) Xeon(R) E5-2630 v2 CPU 2.60GHz machines with Debian Linux operating system.

* All solvers and tools were run with a single thread.

Algorithms and Solvers:

* The package upgradeability tool mccs , version 1.1, implements the ILP-based algorithm, explained in this report. The algorithm is adapted from this work in the context of Constraint Programming. mccs was run with the following ILP solvers:

- Gurobi, version 9.0.3

- CPLEX, version 12.10.0

- SCIP, version 7.0.1

- Cbc, version devel, build date: January 14 2021

- GLPK, version v4.65

- lpsolve, version 5.5.2.5

* The package upgradeability tool packup was linked to a C++ library implementing SAT-based leximax optimisation algorithms. The following algorithms were tested:

Non-core-guided algorithms (static sorting networks, each with the largest possible size):

- linear-su (Linear SAT-UNSAT search)

- linear-us (Linear UNSAT-SAT search)

- binary (Binary search)

Core-guided algorithms:

- core-static (Static sorting networks)

- core-merge (Dynamic sorting networks that grow by sorting the new variables and merging with the old sorting networks)

- core-rebuild (Dynamic sorting networks that grow by rebuilding the sorting networks and deleting the old encoding - does not allow continuous incremental SAT solving)

- core-rebuild-incr (Dynamic sorting networks that grow by rebuilding the sorting networks; does not delete the old encoding - allows incremental SAT solving)

- core-merge-dc (core-merge + disjoint cores step)

- core-rebuild-dc (core-rebuild + disjoint cores step)

- core-rebuild-incr-dc (core-rebuild-incr + disjoint cores step)

The CaDiCaL incremental SAT solving library was used, version 1.3.1.

Date of experiment: Feb-15-2022