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: 180.152s t |
Time: 23.6231s b 154 446 446 |
Time: 180.032s t |
Time: 12.7051s b 154 446 446 |
Time: 180.137s t |
Time: 181.335s t |
SN 1: 721w 180821c SN 2: 1532w 383164c SN 3: 891w 290861c Time: 181.911s t 186 2356 1755 |
SN 1: 439w 8121c SN 2: 902w 20763c SN 3: 646w 13595c Time: 180.272s t 120 342 617 |
SN 1: 536w 10507c SN 2: 1062w 25550c SN 3: 638w 13345c Time: 180.238s t 186 2356 1755 |
SN 1: 439w 8121c SN 2: 902w 20763c SN 3: 646w 13595c Time: 180.157s t 120 342 617 |
SN 1: 410w 7452c SN 2: 343w 5920c SN 3: 276w 4365c Time: 50.1719s s 186 2356 1755 |
SN 1: 439w 8121c SN 2: 902w 20763c SN 3: 646w 13595c Time: 180.174s t 120 342 617 |
SN 1: 901w 20732c SN 2: 3175w 103364c SN 3: 2178w 63925c Time: 180.565s t 186 2356 1755 |
SN 1: 901w 20732c SN 2: 3175w 103364c SN 3: 2178w 63925c Time: 180.4s t 339 417 531 |
SN 1: 901w 20732c SN 2: 3175w 103364c SN 3: 2178w 63925c Time: 180.418s t 344 488 488 |
SN 1: 901w 20732c SN 2: 3175w 103364c SN 3: 2178w 63925c Time: 180.459s t 186 2356 1755 |
rand439.cudf |
rand375.cudf | Time: 21.7227s b 17 269 269 |
Time: 2.85902s b 17 269 269 |
Time: 180.101s t |
Time: 2.80843s b 17 269 269 |
Time: 180.09s t |
Time: 22.0408s b 17 269 269 |
SN 1: 196w 13577c SN 2: 597w 154160c SN 3: 517w 133129c Time: 180.58s t 61 544 733 |
SN 1: 159w 2070c SN 2: 537w 10544c SN 3: 509w 9687c Time: 180.182s t 4 49 499 |
SN 1: 132w 1565c SN 2: 552w 10979c SN 3: 522w 10085c Time: 180.189s t 61 544 733 |
SN 1: 159w 2070c SN 2: 537w 10544c SN 3: 509w 9687c Time: 180.193s t 4 49 499 |
Time: 101.451s w |
SN 1: 159w 2070c SN 2: 537w 10544c SN 3: 509w 9687c Time: 180.113s t 4 49 499 |
SN 1: 538w 10573c SN 2: 1212w 30657c SN 3: 831w 18770c Time: 180.159s t 61 544 733 |
SN 1: 538w 10573c SN 2: 1212w 30657c SN 3: 831w 18770c Time: 180.186s t 84 217 366 |
SN 1: 538w 10573c SN 2: 1212w 30657c SN 3: 831w 18770c Time: 180.243s t 111 289 289 |
SN 1: 538w 10573c SN 2: 1212w 30657c SN 3: 831w 18770c Time: 180.255s t 61 544 733 |
rand375.cudf |
rand790.cudf | Time: 65.4883s b 382 478 475 |
Time: 6.04542s b 382 478 475 |
Time: 180.024s t |
Time: 5.14379s b 382 478 475 |
Time: 180.113s t |
Time: 108.019s b 382 478 475 |
SN 1: 588w 151962c SN 2: 976w 346484c SN 3: 482w 114265c Time: 25.212s b 382 478 475 |
SN 1: 237w 3904c SN 2: 785w 18805c SN 3: 505w 11632c Time: 4.10497s b 382 478 475 |
SN 1: 663w 14111c SN 2: 1338w 34886c SN 3: 606w 12507c Time: 180.216s t 384 478 478 |
SN 1: 294w 4790c SN 2: 894w 20513c SN 3: 573w 11561c Time: 12.1804s b 382 478 475 |
Time: 20.23s w |
SN 1: 294w 4790c SN 2: 871w 19935c SN 3: 568w 11427c Time: 22.427s b 382 478 475 |
SN 1: 862w 19675c SN 2: 3232w 105663c SN 3: 2259w 67294c Time: 48.4771s b 382 478 475 |
SN 1: 862w 19675c SN 2: 3232w 105663c SN 3: 2259w 67294c Time: 17.6475s b 382 478 475 |
SN 1: 862w 19675c SN 2: 3232w 105663c SN 3: 2259w 67294c Time: 87.0468s b 382 478 475 |
SN 1: 862w 19675c SN 2: 3232w 105663c SN 3: 2259w 67294c Time: 11.7443s b 382 478 475 |
rand790.cudf |
rand598.cudf | Time: 180.136s t |
Time: 17.125s b 120 447 447 |
Time: 180.024s t |
Time: 9.98257s b 120 447 447 |
Time: 180.134s t |
Time: 106.858s b 120 447 447 |
SN 1: 608w 138116c SN 2: 1143w 331356c SN 3: 760w 287665c Time: 181.628s t 147 1895 1568 |
SN 1: 483w 9128c SN 2: 898w 20625c SN 3: 735w 16082c Time: 180.173s t 81 211 707 |
SN 1: 569w 11461c SN 2: 1113w 27337c SN 3: 726w 15863c Time: 180.167s t 147 1895 1568 |
SN 1: 483w 9128c SN 2: 898w 20625c SN 3: 735w 16082c Time: 180.106s t 81 211 707 |
Time: 56.3033s w |
SN 1: 483w 9128c SN 2: 898w 20625c SN 3: 735w 16082c Time: 180.258s t 81 211 707 |
SN 1: 850w 19351c SN 2: 2459w 75235c SN 3: 1752w 48751c Time: 180.321s t 147 1895 1568 |
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SN 1: 850w 19351c SN 2: 2459w 75235c SN 3: 1752w 48751c Time: 180.354s t 382 652 473 |
SN 1: 850w 19351c SN 2: 2459w 75235c SN 3: 1752w 48751c Time: 180.297s t 147 1895 1568 |
rand598.cudf |
e381ba7e-a192-11e0-8647-00163e1e087d.cudf | Time: 56.1987s b 79 219 219 |
Time: 6.29908s b 79 219 219 |
Time: 180.093s t |
Time: 3.69038s b 79 219 219 |
Time: 180.092s t |
Time: 40.7997s b 79 219 219 |
SN 1: 293w 27562c SN 2: 567w 107399c SN 3: 417w 76063c Time: 180.433s t 80 722 894 |
SN 1: 216w 3131c SN 2: 462w 8652c SN 3: 402w 7260c Time: 180.116s t 17 112 349 |
SN 1: 238w 3541c SN 2: 525w 10180c SN 3: 414w 7536c Time: 180.17s t 80 722 894 |
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Time: 108.765s w |
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SN 1: 899w 20663c SN 2: 1311w 33947c SN 3: 920w 21299c Time: 180.229s t 80 722 894 |
e381ba7e-a192-11e0-8647-00163e1e087d.cudf |
0207e19a-9b1c-11df-af69-00163e46d37a.cudf | Time: 3.96294s b 0 402 403 |
Time: 1.41208s b 0 402 403 |
Time: 180.115s t |
Time: 1.21032s b 0 402 403 |
Time: 180.028s t |
Time: 7.10314s b 0 402 403 |
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Time: 118.941s w |
SN 1: 0w 0c SN 2: 612w 12677c SN 3: 609w 12584c Time: 180.105s t 0 49 761 |
SN 1: 0w 0c SN 2: 1939w 55006c SN 3: 1242w 31670c Time: 180.233s t 0 645 1190 |
SN 1: 0w 0c SN 2: 1939w 55006c SN 3: 1242w 31670c Time: 180.2s t 0 591 282 |
SN 1: 0w 0c SN 2: 1939w 55006c SN 3: 1242w 31670c Time: 180.287s t 0 539 539 |
SN 1: 0w 0c SN 2: 1939w 55006c SN 3: 1242w 31670c Time: 180.196s t 0 645 1190 |
0207e19a-9b1c-11df-af69-00163e46d37a.cudf |
caefdef6-3477-11e0-84ef-00163e3d3b7c.cudf | Time: 3.54471s b 0 239 238 |
Time: 0.922288s b 0 238 239 |
Time: 180.11s t |
Time: 0.77912s b 0 239 238 |
Time: 180.109s t |
Time: 3.59798s b 0 239 238 |
SN 1: 0w 0c SN 2: 459w 104574c SN 3: 440w 96580c Time: 180.523s t 0 568 594 |
SN 1: 0w 0c SN 2: 439w 8121c SN 3: 435w 8034c Time: 180.189s t 0 27 451 |
SN 1: 0w 0c SN 2: 456w 8503c SN 3: 423w 7758c Time: 180.093s t 0 568 594 |
SN 1: 0w 0c SN 2: 439w 8121c SN 3: 435w 8034c Time: 180.077s t 0 27 451 |
Time: 69.8278s w |
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SN 1: 0w 0c SN 2: 2501w 76819c SN 3: 611w 12651c Time: 180.128s t 0 568 594 |
SN 1: 0w 0c SN 2: 2501w 76819c SN 3: 611w 12651c Time: 180.164s t 0 227 294 |
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SN 1: 0w 0c SN 2: 2501w 76819c SN 3: 611w 12651c Time: 180.16s t 0 568 594 |
caefdef6-3477-11e0-84ef-00163e3d3b7c.cudf |
f4ebf9e0-360e-11e0-9e6c-00163e3d3b7c.cudf | Time: 3.40168s b 0 166 166 |
Time: 0.874387s b 0 166 166 |
Time: 180.114s t |
Time: 0.756929s b 0 166 166 |
Time: 180.017s t |
Time: 3.05858s b 0 166 166 |
SN 1: 0w 0c SN 2: 313w 48559c SN 3: 296w 43660c Time: 180.195s t 0 562 454 |
SN 1: 0w 0c SN 2: 302w 4974c SN 3: 299w 4911c Time: 180.098s t 0 27 306 |
SN 1: 0w 0c SN 2: 319w 5333c SN 3: 284w 4549c Time: 180.081s t 0 562 454 |
SN 1: 0w 0c SN 2: 302w 4974c SN 3: 299w 4911c Time: 180.142s t 0 27 306 |
SN 1: 0w 0c SN 2: 330w 5616c SN 3: 262w 4018c Time: 182.43s t 0 562 454 |
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SN 1: 0w 0c SN 2: 2498w 76681c SN 3: 475w 8953c Time: 180.188s t 0 562 454 |
SN 1: 0w 0c SN 2: 2498w 76681c SN 3: 475w 8953c Time: 180.153s t 0 281 98 |
SN 1: 0w 0c SN 2: 2498w 76681c SN 3: 475w 8953c Time: 180.19s t 0 171 171 |
SN 1: 0w 0c SN 2: 2498w 76681c SN 3: 475w 8953c Time: 180.161s t 0 562 454 |
f4ebf9e0-360e-11e0-9e6c-00163e3d3b7c.cudf |
rand692.cudf | Time: 4.32791s b 94 140 139 |
Time: 1.34257s b 94 140 139 |
Time: 180.115s t |
Time: 1.21694s b 94 139 140 |
Time: 180.018s t |
Time: 6.83624s b 94 140 139 |
SN 1: 245w 21343c SN 2: 362w 40505c SN 3: 190w 17496c Time: 180.215s t 104 353 129 |
SN 1: 37w 255c SN 2: 180w 2465c SN 3: 178w 2429c Time: 180.129s t 95 102 177 |
SN 1: 313w 5219c SN 2: 414w 7536c SN 3: 193w 2684c Time: 180.148s t 104 353 129 |
SN 1: 37w 255c SN 2: 180w 2465c SN 3: 178w 2429c Time: 180.061s t 95 102 177 |
SN 1: 251w 3773c SN 2: 352w 6095c SN 3: 191w 2647c Time: 180.669s t 104 353 129 |
SN 1: 37w 255c SN 2: 180w 2465c SN 3: 178w 2429c Time: 180.079s t 95 102 177 |
SN 1: 1461w 38978c SN 2: 1723w 47787c SN 3: 294w 4790c Time: 180.271s t 104 353 129 |
SN 1: 1461w 38978c SN 2: 1723w 47787c SN 3: 294w 4790c Time: 180.194s t 98 176 175 |
SN 1: 1461w 38978c SN 2: 1723w 47787c SN 3: 294w 4790c Time: 180.312s t 105 140 140 |
SN 1: 1461w 38978c SN 2: 1723w 47787c SN 3: 294w 4790c Time: 180.198s t 104 353 129 |
rand692.cudf |
rand740.cudf | Time: 26.0973s b 17 269 269 |
Time: 2.94629s b 17 269 269 |
Time: 180.119s t |
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Time: 180.024s t |
Time: 20.0644s b 17 269 269 |
SN 1: 230w 14800c SN 2: 647w 147526c SN 3: 512w 130816c Time: 180.585s t 69 620 717 |
SN 1: 160w 2079c SN 2: 539w 10603c SN 3: 513w 9773c Time: 180.112s t 8 37 505 |
SN 1: 141w 1747c SN 2: 547w 10833c SN 3: 519w 9986c Time: 180.175s t 69 620 717 |
SN 1: 160w 2079c SN 2: 539w 10603c SN 3: 513w 9773c Time: 180.162s t 8 37 505 |
Time: 110.503s w |
SN 1: 160w 2079c SN 2: 539w 10603c SN 3: 513w 9773c Time: 180.179s t 8 37 505 |
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SN 1: 565w 11358c SN 2: 1212w 30657c SN 3: 831w 18770c Time: 180.169s t 138 350 350 |
SN 1: 565w 11358c SN 2: 1212w 30657c SN 3: 831w 18770c Time: 180.226s t 69 620 717 |
rand740.cudf |
rand434.cudf | Time: 3.86179s b 40 144 143 |
Time: 1.42022s b 40 143 144 |
Time: 180.11s t |
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Time: 180.105s t |
Time: 11.2289s b 40 143 144 |
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SN 1: 344w 5935c SN 2: 568w 11427c SN 3: 216w 3131c Time: 180.071s t 58 438 138 |
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SN 1: 1401w 36956c SN 2: 1868w 52661c SN 3: 314w 5240c Time: 180.215s t 58 438 138 |
rand434.cudf |
c2164c84-b015-11df-8b50-00163e46d37a.cudf | Time: 1.67521s b 0 13 13 |
Time: 0.584968s b 0 13 13 |
Time: 3.25794s b 0 13 13 |
Time: 0.593766s b 0 13 13 |
Time: 180.105s t |
Time: 1.51205s b 0 13 13 |
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c2164c84-b015-11df-8b50-00163e46d37a.cudf |
56ae4afa-0b33-11df-8a2b-00163e1d94dc.cudf | Time: 4.17185s b 0 83 12 |
Time: 1.26019s b 0 83 12 |
Time: 0.787484s w |
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Time: 180.024s t |
Time: 4.25142s b 0 83 12 |
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56ae4afa-0b33-11df-8a2b-00163e1d94dc.cudf |
rand7.cudf | Time: 0.743446s b 359 379 0 |
Time: 0.27392s b 359 379 0 |
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rand7.cudf |
rand18.cudf | Time: 22.8712s b 17 269 269 |
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rand18.cudf |
rand438.cudf | Time: 25.3652s b 17 269 269 |
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rand438.cudf |
rand529.cudf | Time: 0.792545s b 96 133 0 |
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rand529.cudf |
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cff22854-9512-11e0-8001-00163e1e087d.cudf |
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SN 1: 900w 20693c SN 2: 3314w 108887c SN 3: 2337w 70363c Time: 180.516s t 338 445 523 |
SN 1: 900w 20693c SN 2: 3314w 108887c SN 3: 2337w 70363c Time: 180.449s t 329 530 530 |
SN 1: 900w 20693c SN 2: 3314w 108887c SN 3: 2337w 70363c Time: 180.441s t 163 2654 1948 |
rand519.cudf |
rand600.cudf | Time: 1.08211s b 171 208 0 |
Time: 0.288348s b 171 208 0 |
Time: 0.177867s w |
Time: 0.279655s b 171 208 0 |
Time: 1.51681s b 171 208 0 |
Time: 1.08143s b 171 208 0 |
SN 1: 173w 14878c SN 2: 215w 22197c Time: 0.511273s b 171 208 0 |
SN 1: 0w 0c SN 2: 11w 37c Time: 0.304493s b 171 208 0 |
SN 1: 173w 2342c SN 2: 216w 3131c Time: 3.64664s b 171 208 0 |
SN 1: 0w 0c SN 2: 11w 37c Time: 0.32188s b 171 208 0 |
SN 1: 173w 2342c SN 2: 216w 3131c Time: 1.88027s b 171 208 0 |
SN 1: 0w 0c SN 2: 11w 37c Time: 0.312201s b 171 208 0 |
SN 1: 869w 19880c SN 2: 1295w 33382c Time: 5.0074s b 171 208 0 |
SN 1: 869w 19880c SN 2: 1295w 33382c Time: 0.824844s b 171 208 0 |
SN 1: 869w 19880c SN 2: 1295w 33382c Time: 5.21478s b 171 208 0 |
SN 1: 869w 19880c SN 2: 1295w 33382c Time: 0.588663s b 171 208 0 |
rand600.cudf |
rand208.cudf | Time: 180.129s t |
Time: 23.9093s b 121 497 497 |
Time: 180.124s t |
Time: 15.6325s b 121 497 497 |
Time: 180.036s t |
Time: 180.649s t |
SN 1: 613w 144271c SN 2: 2369w 611374c SN 3: 1070w 304434c Time: 182.282s t 159 2659 2030 |
SN 1: 420w 7681c SN 2: 1176w 29463c SN 3: 600w 12347c Time: 180.231s t 125 516 572 |
SN 1: 472w 8879c SN 2: 1120w 27535c SN 3: 553w 11017c Time: 180.214s t 159 2659 2030 |
SN 1: 420w 7681c SN 2: 1176w 29463c SN 3: 600w 12347c Time: 180.266s t 125 516 572 |
Time: 46.8317s w |
SN 1: 420w 7681c SN 2: 1176w 29463c SN 3: 600w 12347c Time: 180.168s t 125 516 572 |
SN 1: 875w 20048c SN 2: 3419w 113192c SN 3: 2332w 70165c Time: 180.42s t 159 2659 2030 |
SN 1: 875w 20048c SN 2: 3419w 113192c SN 3: 2332w 70165c Time: 180.441s t 165 366 694 |
SN 1: 875w 20048c SN 2: 3419w 113192c SN 3: 2332w 70165c Time: 180.482s t 326 539 539 |
SN 1: 875w 20048c SN 2: 3419w 113192c SN 3: 2332w 70165c Time: 180.512s t 159 2659 2030 |
rand208.cudf |
rand796.cudf | Time: 23.3362s b 17 269 269 |
Time: 2.98348s b 17 269 269 |
Time: 180.022s t |
Time: 2.76599s b 17 269 269 |
Time: 180.028s t |
Time: 23.5764s b 17 269 269 |
SN 1: 193w 14881c SN 2: 558w 145851c SN 3: 515w 132355c Time: 180.58s t 56 562 728 |
SN 1: 160w 2079c SN 2: 536w 10507c SN 3: 512w 9727c Time: 180.118s t 6 35 507 |
SN 1: 137w 1669c SN 2: 552w 10979c SN 3: 521w 10052c Time: 180.123s t 56 562 728 |
SN 1: 160w 2079c SN 2: 536w 10507c SN 3: 512w 9727c Time: 180.169s t 6 35 507 |
Time: 104.536s w |
SN 1: 160w 2079c SN 2: 536w 10507c SN 3: 512w 9727c Time: 180.097s t 6 35 507 |
SN 1: 550w 10927c SN 2: 1212w 30657c SN 3: 831w 18770c Time: 180.166s t 56 562 728 |
SN 1: 550w 10927c SN 2: 1212w 30657c SN 3: 831w 18770c Time: 180.18s t 97 364 364 |
SN 1: 550w 10927c SN 2: 1212w 30657c SN 3: 831w 18770c Time: 180.255s t 116 330 330 |
SN 1: 550w 10927c SN 2: 1212w 30657c SN 3: 831w 18770c Time: 180.194s t 56 562 728 |
rand796.cudf |
rand21.cudf | Time: 180.145s t |
Time: 22.1534s b 24 1012 1012 |
Time: 180.129s t |
Time: 13.4774s b 24 1012 1012 |
Time: 180.093s t |
Time: 180.351s t |
SN 1: 430w 87632c SN 2: 1274w 782222c SN 3: 1244w 773146c Time: 182.748s t 389 1823 2499 |
SN 1: 518w 9953c SN 2: 1999w 56955c SN 3: 1895w 53559c Time: 180.293s t 45 219 1827 |
SN 1: 286w 4592c SN 2: 845w 19210c SN 3: 796w 17793c Time: 180.262s t 389 1823 2499 |
SN 1: 518w 9953c SN 2: 1999w 56955c SN 3: 1895w 53559c Time: 180.267s t 45 219 1827 |
Time: 106.318s w |
SN 1: 518w 9953c SN 2: 1999w 56955c SN 3: 1895w 53559c Time: 180.422s t 45 219 1827 |
SN 1: 2730w 85983c SN 2: 3936w 133471c SN 3: 2647w 82662c Time: 180.815s t 389 1823 2499 |
SN 1: 2730w 85983c SN 2: 3936w 133471c SN 3: 2647w 82662c Time: 180.832s t 370 944 1249 |
SN 1: 2730w 85983c SN 2: 3936w 133471c SN 3: 2647w 82662c Time: 180.638s t 617 1338 1379 |
SN 1: 2730w 85983c SN 2: 3936w 133471c SN 3: 2647w 82662c Time: 180.642s t 389 1823 2499 |
rand21.cudf |
* 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)
* All solvers and tools were run with a single thread.
* 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.