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: 180.156s t |
Time: 56.5113s b 105 171 171 171 |
Time: 180.098s t |
Time: 43.0404s b 105 171 171 171 |
Time: 180.035s t |
Time: 181.957s t |
SN 1: 596w 97587c SN 2: 1227w 316149c SN 3: 747w 172209c SN 4: 922w 188107c Time: 182.01s t 172 2946 187 2877 |
SN 1: 294w 4790c SN 2: 570w 11487c SN 3: 394w 7066c SN 4: 241w 3593c Time: 180.29s t 26 177 258 182 |
SN 1: 534w 10457c SN 2: 1097w 26774c SN 3: 584w 11883c SN 4: 564w 11325c Time: 180.262s t 172 2946 187 2877 |
SN 1: 294w 4790c SN 2: 570w 11487c SN 3: 394w 7066c SN 4: 241w 3593c Time: 180.195s t 26 177 258 182 |
Time: 30.8137s w |
SN 1: 294w 4790c SN 2: 570w 11487c SN 3: 394w 7066c SN 4: 241w 3593c Time: 180.292s t 26 177 258 182 |
SN 1: 3540w 117849c SN 2: 4268w 148105c SN 3: 901w 20732c SN 4: 3518w 116979c Time: 180.458s t 172 2946 187 2877 |
SN 1: 3540w 117849c SN 2: 4268w 148105c SN 3: 901w 20732c SN 4: 3518w 116979c Time: 180.761s t 94 239 261 119 |
SN 1: 3540w 117849c SN 2: 4268w 148105c SN 3: 901w 20732c SN 4: 3518w 116979c Time: 180.761s t 34 82 728 111 |
SN 1: 3540w 117849c SN 2: 4268w 148105c SN 3: 901w 20732c SN 4: 3518w 116979c Time: 180.895s t 172 2946 187 2877 |
rand439.cudf |
rand375.cudf | Time: 180.174s t |
Time: 15.8988s b 39 42 42 42 |
Time: 180.029s t |
Time: 14.2767s b 39 42 42 42 |
Time: 180.026s t |
Time: 180.437s t |
SN 1: 351w 21323c SN 2: 536w 44543c SN 3: 352w 23364c SN 4: 501w 32663c Time: 180.472s t 96 2215 66 1807 |
SN 1: 102w 1110c SN 2: 172w 2321c SN 3: 126w 1452c SN 4: 118w 1344c Time: 180.193s t 20 49 42 75 |
SN 1: 343w 5920c SN 2: 483w 9128c SN 3: 352w 6095c SN 4: 501w 9531c Time: 180.245s t 96 2215 66 1807 |
SN 1: 102w 1110c SN 2: 172w 2321c SN 3: 126w 1452c SN 4: 118w 1344c Time: 180.195s t 20 49 42 75 |
SN 1: 323w 5438c SN 2: 464w 8687c SN 3: 347w 6009c SN 4: 463w 8673c Time: 181.175s t 96 2215 66 1807 |
SN 1: 102w 1110c SN 2: 172w 2321c SN 3: 126w 1452c SN 4: 118w 1344c Time: 180.19s t 20 49 42 75 |
SN 1: 1760w 48975c SN 2: 2790w 88259c SN 3: 538w 10573c SN 4: 2126w 61883c Time: 180.507s t 96 2215 66 1807 |
SN 1: 1760w 48975c SN 2: 2790w 88259c SN 3: 538w 10573c SN 4: 2126w 61883c Time: 180.403s t 61 87 83 87 |
SN 1: 1760w 48975c SN 2: 2790w 88259c SN 3: 538w 10573c SN 4: 2126w 61883c Time: 180.456s t 77 57 124 319 |
SN 1: 1760w 48975c SN 2: 2790w 88259c SN 3: 538w 10573c SN 4: 2126w 61883c Time: 180.529s t 96 2215 66 1807 |
rand375.cudf |
rand790.cudf | Time: 180.106s t |
Time: 21.1838s b 81 137 375 138 |
Time: 180.034s t |
Time: 15.3676s b 81 137 375 138 |
Time: 180.089s t |
Time: 181.975s t |
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SN 1: 229w 3732c SN 2: 428w 9343c SN 3: 167w 2487c SN 4: 191w 2900c Time: 180.215s t 60 110 375 189 |
SN 1: 397w 7141c SN 2: 657w 13928c SN 3: 642w 13457c SN 4: 430w 7918c Time: 180.227s t 67 167 375 185 |
SN 1: 246w 3687c SN 2: 445w 8244c SN 3: 177w 2409c SN 4: 201w 2853c Time: 180.213s t 59 163 375 179 |
Time: 105.315s w |
SN 1: 233w 3452c SN 2: 432w 7951c SN 3: 170w 2287c SN 4: 192w 2655c Time: 180.215s t 61 112 375 188 |
SN 1: 3790w 127811c SN 2: 4387w 153708c SN 3: 862w 19675c SN 4: 3694w 124007c Time: 180.728s t 45 126 375 184 |
SN 1: 3790w 127811c SN 2: 4387w 153708c SN 3: 862w 19675c SN 4: 3694w 124007c Time: 180.75s t 71 126 375 178 |
SN 1: 3790w 127811c SN 2: 4387w 153708c SN 3: 862w 19675c SN 4: 3694w 124007c Time: 180.779s t 83 79 436 422 |
SN 1: 3790w 127811c SN 2: 4387w 153708c SN 3: 862w 19675c SN 4: 3694w 124007c Time: 180.779s t 64 69 375 354 |
rand790.cudf |
rand598.cudf | Time: 180.155s t |
Time: 108.619s b 103 144 144 143 |
Time: 180.031s t |
Time: 94.0207s b 103 144 144 143 |
Time: 180.136s t |
Time: 180.723s t |
SN 1: 540w 77627c SN 2: 1253w 260271c SN 3: 674w 153216c SN 4: 926w 170363c Time: 181.459s t 112 2053 152 2419 |
SN 1: 263w 4044c SN 2: 529w 10297c SN 3: 329w 5591c SN 4: 217w 3155c Time: 180.152s t 29 202 185 136 |
SN 1: 587w 11985c SN 2: 1184w 29711c SN 3: 648w 13651c SN 4: 875w 20048c Time: 180.25s t 112 2053 152 2419 |
SN 1: 263w 4044c SN 2: 529w 10297c SN 3: 329w 5591c SN 4: 217w 3155c Time: 180.12s t 29 202 185 136 |
Time: 25.0881s w |
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SN 1: 2245w 66717c SN 2: 2937w 93957c SN 3: 850w 19351c SN 4: 2674w 83707c Time: 180.49s t 112 2053 152 2419 |
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SN 1: 2245w 66717c SN 2: 2937w 93957c SN 3: 850w 19351c SN 4: 2674w 83707c Time: 180.619s t 112 2053 152 2419 |
rand598.cudf |
e381ba7e-a192-11e0-8647-00163e1e087d.cudf | Time: 180.118s t |
Time: 17.7632s b 43 44 44 43 |
Time: 180.018s t |
Time: 10.1167s b 44 44 43 43 |
Time: 180.026s t |
Time: 174.26s b 44 44 43 43 |
SN 1: 519w 54237c SN 2: 766w 90084c SN 3: 456w 57241c SN 4: 612w 55736c Time: 180.596s t 138 1501 68 1711 |
SN 1: 179w 2450c SN 2: 276w 4365c SN 3: 108w 1197c SN 4: 53w 431c Time: 180.184s t 29 93 54 19 |
SN 1: 385w 6820c SN 2: 614w 12739c SN 3: 445w 8244c SN 4: 587w 11985c Time: 180.131s t 138 1501 68 1711 |
SN 1: 179w 2450c SN 2: 276w 4365c SN 3: 108w 1197c SN 4: 53w 431c Time: 180.173s t 29 93 54 19 |
SN 1: 345w 5964c SN 2: 511w 9718c SN 3: 398w 7162c SN 4: 412w 7493c Time: 181.983s t 138 1501 68 1711 |
SN 1: 179w 2450c SN 2: 276w 4365c SN 3: 108w 1197c SN 4: 53w 431c Time: 180.174s t 29 93 54 19 |
SN 1: 1392w 36671c SN 2: 1850w 52038c SN 3: 899w 20663c SN 4: 1779w 49596c Time: 180.309s t 138 1501 68 1711 |
SN 1: 1392w 36671c SN 2: 1850w 52038c SN 3: 899w 20663c SN 4: 1779w 49596c Time: 180.324s t 57 57 56 57 |
SN 1: 1392w 36671c SN 2: 1850w 52038c SN 3: 899w 20663c SN 4: 1779w 49596c Time: 180.368s t 76 133 381 263 |
SN 1: 1392w 36671c SN 2: 1850w 52038c SN 3: 899w 20663c SN 4: 1779w 49596c Time: 180.406s t 138 1501 68 1711 |
e381ba7e-a192-11e0-8647-00163e1e087d.cudf |
0207e19a-9b1c-11df-af69-00163e46d37a.cudf | Time: 10.7715s b 112 139 0 162 |
Time: 1.7944s b 112 139 0 162 |
Time: 180.023s t |
Time: 1.67658s b 112 139 0 162 |
Time: 180.034s t |
Time: 8.68646s b 112 139 0 162 |
SN 1: 150w 9988c SN 2: 308w 32449c SN 3: 219w 23607c Time: 2.8308s b 112 139 0 162 |
SN 1: 161w 2540c SN 2: 318w 6314c SN 3: 111w 1662c Time: 1.40863s b 112 139 0 162 |
SN 1: 150w 1917c SN 2: 325w 5492c SN 3: 237w 3526c Time: 20.2903s b 112 139 0 162 |
SN 1: 162w 2129c SN 2: 328w 5559c SN 3: 130w 1523c Time: 3.62137s b 112 139 0 162 |
SN 1: 150w 1917c SN 2: 314w 5240c SN 3: 233w 3452c Time: 29.1079s b 112 139 0 162 |
SN 1: 187w 2589c SN 2: 423w 7758c SN 3: 178w 2429c Time: 5.08678s b 112 139 0 162 |
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0207e19a-9b1c-11df-af69-00163e46d37a.cudf |
caefdef6-3477-11e0-84ef-00163e3d3b7c.cudf | Time: 7.8027s b 38 37 0 37 |
Time: 1.70163s b 38 37 0 37 |
Time: 99.7473s b 38 37 0 37 |
Time: 1.27287s b 38 37 0 37 |
Time: 180.023s t |
Time: 9.1626s b 38 37 0 37 |
SN 1: 83w 2466c SN 2: 228w 14269c SN 3: 151w 6585c Time: 180.187s t 37 37 0 38 |
SN 1: 85w 1072c SN 2: 244w 4628c SN 3: 132w 1986c Time: 65.1516s b 37 37 0 38 |
SN 1: 86w 880c SN 2: 235w 3491c SN 3: 157w 2041c Time: 180.154s t 114 984 0 715 |
SN 1: 78w 762c SN 2: 224w 3263c SN 3: 115w 1301c Time: 180.162s t 44 61 0 25 |
SN 1: 82w 820c SN 2: 225w 3291c SN 3: 156w 2021c Time: 180.239s t 114 984 0 715 |
SN 1: 79w 775c SN 2: 225w 3291c SN 3: 118w 1344c Time: 180.159s t 38 52 0 47 |
SN 1: 1434w 38090c SN 2: 1315w 34103c SN 3: 739w 16200c Time: 180.212s t 114 984 0 715 |
SN 1: 1434w 38090c SN 2: 1315w 34103c SN 3: 739w 16200c Time: 180.192s t 38 38 0 38 |
SN 1: 1434w 38090c SN 2: 1315w 34103c SN 3: 739w 16200c Time: 180.179s t 38 38 0 38 |
SN 1: 1434w 38090c SN 2: 1315w 34103c SN 3: 739w 16200c Time: 180.235s t 114 984 0 715 |
caefdef6-3477-11e0-84ef-00163e3d3b7c.cudf |
f4ebf9e0-360e-11e0-9e6c-00163e3d3b7c.cudf | Time: 7.43096s b 35 34 0 34 |
Time: 1.4468s b 35 34 0 34 |
Time: 68.374s b 35 34 0 34 |
Time: 1.2315s b 35 34 0 34 |
Time: 180.109s t |
Time: 8.49926s b 35 34 0 34 |
SN 1: 70w 1889c SN 2: 230w 14846c SN 3: 124w 4676c Time: 91.2221s b 35 34 0 34 |
SN 1: 70w 731c SN 2: 214w 4036c SN 3: 106w 1552c Time: 44.9519s b 34 34 0 35 |
SN 1: 69w 632c SN 2: 220w 3205c SN 3: 139w 1710c Time: 180.077s t 35 35 0 34 |
SN 1: 71w 661c SN 2: 229w 3377c SN 3: 104w 1135c Time: 180.068s t 34 35 0 34 |
SN 1: 69w 632c SN 2: 220w 3205c SN 3: 136w 1643c Time: 180.265s t 119 978 0 573 |
SN 1: 72w 671c SN 2: 220w 3205c SN 3: 114w 1284c Time: 180.086s t 34 34 0 35 |
SN 1: 1469w 39204c SN 2: 1305w 33755c SN 3: 599w 12328c Time: 180.135s t 35 35 0 35 |
SN 1: 1469w 39204c SN 2: 1305w 33755c SN 3: 599w 12328c Time: 180.174s t 35 35 0 35 |
SN 1: 1469w 39204c SN 2: 1305w 33755c SN 3: 599w 12328c Time: 180.178s t 34 34 0 35 |
SN 1: 1469w 39204c SN 2: 1305w 33755c SN 3: 599w 12328c Time: 180.186s t 35 35 0 35 |
f4ebf9e0-360e-11e0-9e6c-00163e3d3b7c.cudf |
rand692.cudf | Time: 6.68832s b 12 12 94 22 |
Time: 1.52382s b 12 12 94 22 |
Time: 180.118s t |
Time: 1.74653s b 12 12 94 22 |
Time: 180.022s t |
Time: 11.6127s b 12 12 94 22 |
SN 1: 45w 695c SN 2: 90w 1788c SN 3: 129w 8047c SN 4: 28w 378c Time: 0.964352s b 12 12 94 22 |
SN 1: 41w 324c SN 2: 89w 972c SN 3: 47w 429c SN 4: 33w 275c Time: 0.847948s b 12 12 94 22 |
SN 1: 45w 342c SN 2: 88w 903c SN 3: 130w 1523c SN 4: 35w 232c Time: 3.60039s b 12 12 94 22 |
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SN 1: 41w 298c SN 2: 90w 936c SN 3: 48w 367c SN 4: 36w 241c Time: 1.02089s b 12 12 94 22 |
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SN 1: 1068w 25765c SN 2: 1427w 37854c SN 3: 1461w 38978c SN 4: 477w 8993c Time: 19.1852s b 12 12 94 22 |
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SN 1: 1068w 25765c SN 2: 1427w 37854c SN 3: 1461w 38978c SN 4: 477w 8993c Time: 4.23185s b 12 12 94 22 |
rand692.cudf |
rand740.cudf | Time: 180.15s t |
Time: 15.6204s b 39 41 41 41 |
Time: 180.013s t |
Time: 14.5822s b 39 41 41 41 |
Time: 180.023s t |
Time: 180.357s t |
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SN 1: 337w 5776c SN 2: 488w 9239c SN 3: 387w 6881c SN 4: 513w 9773c Time: 180.195s t 87 2186 64 1822 |
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SN 1: 321w 5379c SN 2: 451w 8382c SN 3: 352w 6095c SN 4: 427w 7855c Time: 180.755s t 87 2186 64 1822 |
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SN 1: 1760w 48975c SN 2: 2790w 88259c SN 3: 565w 11358c SN 4: 2126w 61883c Time: 180.476s t 87 2186 64 1822 |
rand740.cudf |
rand434.cudf | Time: 15.1608s b 22 60 45 38 |
Time: 2.35375s b 22 60 45 38 |
Time: 180.019s t |
Time: 2.26328s b 22 60 45 38 |
Time: 180.019s t |
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rand434.cudf |
c2164c84-b015-11df-8b50-00163e46d37a.cudf | Time: 3.6752s b 16 15 0 5 |
Time: 0.825318s b 16 15 0 5 |
Time: 4.7842s b 15 16 0 5 |
Time: 0.772291s b 16 15 0 5 |
Time: 180.007s t |
Time: 3.67714s b 16 15 0 5 |
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c2164c84-b015-11df-8b50-00163e46d37a.cudf |
56ae4afa-0b33-11df-8a2b-00163e1d94dc.cudf | Time: 180.145s t |
Time: 18.9409s b 14 83 0 13 |
Time: 1.03016s w |
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Time: 181.155s t |
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56ae4afa-0b33-11df-8a2b-00163e1d94dc.cudf |
rand7.cudf | Time: 2.02827s b 40 40 359 0 |
Time: 0.508279s b 40 40 359 0 |
Time: 0.193194s w |
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Time: 2.44035s b 40 40 359 0 |
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rand7.cudf |
rand18.cudf | Time: 180.143s t |
Time: 16.6107s b 39 41 41 41 |
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4a69cf16-c731-11df-9182-00163e3d3b7c.cudf |
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rand230.cudf |
rand662.cudf | Time: 180.127s t |
Time: 33.8047s b 62 94 93 94 |
Time: 180.027s t |
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Time: 180.039s t |
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Time: 114.613s w |
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rand662.cudf |
d5026b8e-3477-11e0-986e-00163e3d3b7c.cudf | Time: 7.41278s b 38 37 0 37 |
Time: 1.85386s b 38 37 0 37 |
Time: 97.8743s b 38 37 0 37 |
Time: 1.39707s b 38 37 0 37 |
Time: 180.108s t |
Time: 9.38227s b 38 37 0 37 |
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d5026b8e-3477-11e0-986e-00163e3d3b7c.cudf |
2c3aece6-c8b2-11df-a040-00163e3d3b7c.cudf | Time: 16.958s b 81 91 0 91 |
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2c3aece6-c8b2-11df-a040-00163e3d3b7c.cudf |
8afdd89e-51b8-11e0-acd7-00163e1e087d.cudf | Time: 123.622s b 17 34 33 33 |
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Time: 180.031s t |
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8afdd89e-51b8-11e0-acd7-00163e1e087d.cudf |
rand105.cudf | Time: 180.198s t |
Time: 18.1257s b 39 41 41 41 |
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Time: 180.304s t |
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rand105.cudf |
rand298.cudf | Time: 2.67807s s 55 53 55 0 |
Time: 0.955541s b 54 54 55 0 |
Time: 0.188911s w |
Time: 0.653812s b 54 54 55 0 |
Time: 180.081s t |
Time: 9.92055s b 54 54 55 0 |
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SN 1: 476w 8969c SN 2: 908w 20949c SN 3: 776w 17179c Time: 180.186s t 6 828 54 0 |
rand298.cudf |
rand519.cudf | Time: 180.148s t |
Time: 83.4657s b 71 166 166 166 |
Time: 180.032s t |
Time: 46.1222s b 71 166 166 166 |
Time: 180.022s t |
Time: 181.806s t |
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Time: 26.4297s w |
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rand519.cudf |
rand600.cudf | Time: 1.42109s b 60 60 171 0 |
Time: 0.453631s s 61 59 171 0 |
Time: 0.188871s w |
Time: 0.425927s b 60 60 171 0 |
Time: 180.021s t |
Time: 3.18356s s 61 59 171 0 |
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SN 1: 506w 9630c SN 2: 912w 21055c SN 3: 869w 19880c Time: 180.16s t 55 171 171 0 |
rand600.cudf |
rand208.cudf | Time: 180.155s t |
Time: 71.9423s b 88 181 181 181 |
Time: 180.026s t |
Time: 50.9763s b 88 181 181 181 |
Time: 180.021s t |
Time: 180.532s t |
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Time: 31.3941s w |
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SN 1: 3615w 120741c SN 2: 4386w 153648c SN 3: 877w 20099c SN 4: 3592w 119715c Time: 180.849s t 156 3214 156 3171 |
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SN 1: 3615w 120741c SN 2: 4386w 153648c SN 3: 877w 20099c SN 4: 3592w 119715c Time: 180.954s t 156 3214 156 3171 |
rand208.cudf |
rand796.cudf | Time: 180.066s t |
Time: 16.796s b 39 41 41 41 |
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Time: 13.6209s b 39 41 41 41 |
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Time: 180.331s t |
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SN 1: 287w 4611c SN 2: 424w 7775c SN 3: 303w 4994c SN 4: 376w 6639c Time: 180.134s t 91 2088 83 1836 |
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SN 1: 259w 3937c SN 2: 387w 6881c SN 3: 288w 4623c SN 4: 325w 5492c Time: 180.534s t 91 2088 83 1836 |
SN 1: 97w 1029c SN 2: 197w 2774c SN 3: 127w 1464c SN 4: 113w 1268c Time: 180.122s t 22 65 32 72 |
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SN 1: 1760w 48975c SN 2: 2790w 88259c SN 3: 550w 10927c SN 4: 2126w 61883c Time: 180.445s t 91 2088 83 1836 |
rand796.cudf |
rand21.cudf | Time: 180.091s t |
Time: 39.9682s b 56 94 93 93 |
Time: 180.027s t |
Time: 27.8054s b 56 94 93 93 |
Time: 180.032s t |
Time: 180.508s t |
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SN 1: 437w 8080c SN 2: 483w 9128c SN 3: 720w 15679c SN 4: 628w 13109c Time: 180.192s t 175 1332 459 2856 |
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SN 1: 268w 4169c SN 2: 391w 6988c SN 3: 507w 9651c SN 4: 457w 8535c Time: 181.422s t 175 1332 459 2856 |
SN 1: 137w 1669c SN 2: 296w 4831c SN 3: 290w 4686c SN 4: 234w 3471c Time: 180.171s t 17 131 82 140 |
SN 1: 3176w 103395c SN 2: 1790w 49886c SN 3: 2730w 85983c SN 4: 3064w 98611c Time: 180.911s t 175 1332 459 2856 |
SN 1: 3176w 103395c SN 2: 1790w 49886c SN 3: 2730w 85983c SN 4: 3064w 98611c Time: 180.653s t 73 187 80 188 |
SN 1: 3176w 103395c SN 2: 1790w 49886c SN 3: 2730w 85983c SN 4: 3064w 98611c Time: 180.653s t 72 284 632 7 |
SN 1: 3176w 103395c SN 2: 1790w 49886c SN 3: 2730w 85983c SN 4: 3064w 98611c Time: 180.8s t 175 1332 459 2856 |
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.