This page presents the ranking of the different solvers. Solvers are ranked on the number of solved instances. Ties are broken by considering the minimum total solution time.
Solvers which gave a wrong answer in a category are excluded from the ranking in that category.
The Virtual Best Solver (VBS) is a theoretical construction which returns the best answer provided by one of the submitted solver. It corresponds to the 'Best result' column in the bench per bench view of the results. It can be considered as a meta solver which uses a perfect oracle to guess instantaneously which of the submitted solver will be the most efficient to solve the instance. Another way to look at it is to consider this VBS as a solver which would run all other solvers in parallel, bringing together all the solvers strenghs. This VBS is essentially the same notion as State Of The Art (SOTA) solver defined in "Evaluating general purpose automated theorem proving systems", Artificial Intelligence, Volume 131, Issues 1-2, September 2001, Pages 39-54 Geoff Sutcliffe, Christian Suttner. However, SOTA is a more general notion: the VBS can be seen as the least powerful SOTA solver.
Rank | Solver | Version | Number of solved instances | Detail | % of all instances | % of VBS | Cumulated CPU time on solved instances | Median CPU time | Average CPU time per solved instance | Cumulated WC time on solved instances | Median WC time | Average WC time per solved instance | CPU/WC |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Total number of instances in the category: 438 | |||||||||||||
Virtual Best Solver (VBS) | 160 | 158 OPT, 2 UNSAT | 37% | 100% | 77455.76 | 2.19 | 484.10 | - | - | - | - | ||
1 | Mistral-2.0 | 2017-07-28 | 133 | 131 OPT, 2 UNSAT | 30% | 83% | 17412.46 | 0.80 | 130.92 | 17425.17 | 0.89 | 131.02 | 1.00 |
2 | choco-solver | 4.0.5 par (2017-08-18) | 132 | 130 OPT, 2 UNSAT | 30% | 83% | 19951.90 | 15.34 | 151.15 | 2984.41 | 2.53 | 22.61 | 6.69 |
3 | OscaR - Parallel with EPS | 2017-08-22 | 127 | 125 OPT, 2 UNSAT | 29% | 79% | 12621.04 | 15.22 | 99.38 | 3487.25 | 4.35 | 27.46 | 3.62 |
4 | OscaR - Conflict Ordering | 2017-07-26 | 125 | 123 OPT, 2 UNSAT | 29% | 78% | 8132.19 | 4.88 | 65.06 | 7787.43 | 2.21 | 62.30 | 1.04 |
5 | AbsCon-basic | 2017-06-11 | 117 | 115 OPT, 2 UNSAT | 27% | 73% | 14901.59 | 3.96 | 127.36 | 14670.59 | 1.99 | 125.39 | 1.02 |
6 | choco-solver | 4.0.5 seq (2017-08-18) | 115 | 113 OPT, 2 UNSAT | 26% | 72% | 12607.60 | 4.97 | 109.63 | 12273.09 | 2.49 | 106.72 | 1.03 |
7 | OscaR - Hybrid | 2017-07-26 | 109 | 107 OPT, 2 UNSAT | 25% | 68% | 27940.08 | 3.60 | 256.33 | 27119.10 | 1.73 | 248.80 | 1.03 |
8 | choco-solver | 5a (2017-08-18) | 106 | 104 OPT, 2 UNSAT | 24% | 66% | 17076.33 | 8.35 | 161.10 | 16211.86 | 3.25 | 152.94 | 1.05 |
9 | Concrete | 3.4 | 103 | 101 OPT, 2 UNSAT | 24% | 64% | 14878.95 | 15.50 | 144.46 | 13669.11 | 7.33 | 132.71 | 1.09 |
10 | cosoco | 1.12 | 98 | 96 OPT, 2 UNSAT | 22% | 61% | 12003.19 | 0.98 | 122.48 | 12010.84 | 1.08 | 122.56 | 1.00 |
11 | cosoco-sat | 1.12 | 98 | 96 OPT, 2 UNSAT | 22% | 61% | 12628.79 | 1.12 | 128.87 | 12633.37 | 1.15 | 128.91 | 1.00 |
12 | sat4j-CSP | 2017-07-05 | 77 | 75 OPT, 2 UNSAT | 18% | 48% | 17799.49 | 55.04 | 231.16 | 17151.71 | 37.72 | 222.75 | 1.04 |
13 | OscaR - ALNS | 2017-07-26 | 2 | 2 UNSAT | 0% | 1% | 4.34 | 2.17 | 2.17 | 2.75 | 1.37 | 1.37 | 1.58 |
Rank | Solver | Version | Number of solved instances | % of all instances | % of VBS | Cumulated CPU time on solved instances | Median CPU time | Average CPU time per solved instance | Cumulated WC time on solved instances | Median WC time | Average WC time per solved instance | CPU/WC |
---|---|---|---|---|---|---|---|---|---|---|---|---|
Total number of instances in the category: 438 | ||||||||||||
Virtual Best Solver (VBS) | 158 | 36% | 100% | 77455.45 | 2.61 | 490.22 | - | - | - | - | ||
1 | Mistral-2.0 | 2017-07-28 | 131 | 30% | 83% | 17348.31 | 0.80 | 132.43 | 17360.90 | 0.89 | 132.53 | 1.00 |
2 | choco-solver | 4.0.5 par (2017-08-18) | 130 | 30% | 82% | 19942.96 | 15.46 | 153.41 | 2982.37 | 2.64 | 22.94 | 6.69 |
3 | OscaR - Parallel with EPS | 2017-08-22 | 125 | 29% | 79% | 12609.93 | 15.50 | 100.88 | 3484.09 | 4.52 | 27.87 | 3.62 |
4 | OscaR - Conflict Ordering | 2017-07-26 | 123 | 28% | 78% | 8128.05 | 4.88 | 66.08 | 7785.37 | 2.33 | 63.30 | 1.04 |
5 | AbsCon-basic | 2017-06-11 | 115 | 26% | 73% | 14898.75 | 4.02 | 129.55 | 14668.92 | 2.04 | 127.56 | 1.02 |
6 | choco-solver | 4.0.5 seq (2017-08-18) | 113 | 26% | 72% | 12602.86 | 5.11 | 111.53 | 12270.81 | 2.53 | 108.59 | 1.03 |
7 | OscaR - Hybrid | 2017-07-26 | 107 | 24% | 68% | 27935.95 | 3.70 | 261.08 | 27117.04 | 1.77 | 253.43 | 1.03 |
8 | choco-solver | 5a (2017-08-18) | 104 | 24% | 66% | 17067.37 | 9.07 | 164.11 | 16208.35 | 5.24 | 155.85 | 1.05 |
9 | Concrete | 3.4 | 101 | 23% | 64% | 14861.12 | 15.92 | 147.14 | 13660.00 | 7.47 | 135.25 | 1.09 |
10 | cosoco | 1.12 | 96 | 22% | 61% | 12002.88 | 1.10 | 125.03 | 12010.39 | 1.18 | 125.11 | 1.00 |
11 | cosoco-sat | 1.12 | 96 | 22% | 61% | 12628.45 | 1.24 | 131.55 | 12632.89 | 1.25 | 131.59 | 1.00 |
12 | sat4j-CSP | 2017-07-05 | 75 | 17% | 47% | 17795.39 | 56.91 | 237.27 | 17149.03 | 39.82 | 228.65 | 1.04 |
13 | OscaR - ALNS | 2017-07-26 | 0 | 0% | 0% | 0.00 | 0.00 | - | 0.00 | 0.00 | - | - |
Rank | Solver | Version | Number of solved instances | % of all instances | % of VBS | Cumulated CPU time on solved instances | Median CPU time | Average CPU time per solved instance | Cumulated WC time on solved instances | Median WC time | Average WC time per solved instance | CPU/WC |
---|---|---|---|---|---|---|---|---|---|---|---|---|
Total number of instances in the category: 438 | ||||||||||||
Virtual Best Solver (VBS) | 2 | 0% | 100% | 0.31 | 0.15 | 0.15 | - | - | - | - | ||
1 | cosoco | 1.12 | 2 | 0% | 100% | 0.31 | 0.15 | 0.15 | 0.45 | 0.22 | 0.22 | 0.69 |
2 | cosoco-sat | 1.12 | 2 | 0% | 100% | 0.34 | 0.17 | 0.17 | 0.48 | 0.24 | 0.24 | 0.72 |
3 | AbsCon-basic | 2017-06-11 | 2 | 0% | 100% | 2.84 | 1.42 | 1.42 | 1.67 | 0.83 | 0.83 | 1.70 |
4 | sat4j-CSP | 2017-07-05 | 2 | 0% | 100% | 4.10 | 2.05 | 2.05 | 2.67 | 1.34 | 1.34 | 1.53 |
5 | OscaR - Hybrid | 2017-07-26 | 2 | 0% | 100% | 4.13 | 2.06 | 2.06 | 2.06 | 1.03 | 1.03 | 2.00 |
6 | OscaR - Conflict Ordering | 2017-07-26 | 2 | 0% | 100% | 4.14 | 2.07 | 2.07 | 2.07 | 1.03 | 1.03 | 2.00 |
7 | OscaR - ALNS | 2017-07-26 | 2 | 0% | 100% | 4.34 | 2.17 | 2.17 | 2.75 | 1.37 | 1.37 | 1.58 |
8 | choco-solver | 4.0.5 seq (2017-08-18) | 2 | 0% | 100% | 4.74 | 2.37 | 2.37 | 2.28 | 1.14 | 1.14 | 2.08 |
9 | choco-solver | 4.0.5 par (2017-08-18) | 2 | 0% | 100% | 8.95 | 4.47 | 4.47 | 2.04 | 1.02 | 1.02 | 4.39 |
10 | choco-solver | 5a (2017-08-18) | 2 | 0% | 100% | 8.96 | 4.48 | 4.48 | 3.51 | 1.75 | 1.75 | 2.55 |
11 | OscaR - Parallel with EPS | 2017-08-22 | 2 | 0% | 100% | 11.11 | 5.56 | 5.56 | 3.16 | 1.58 | 1.58 | 3.52 |
12 | Concrete | 3.4 | 2 | 0% | 100% | 17.83 | 8.92 | 8.92 | 9.11 | 4.56 | 4.56 | 1.96 |
13 | Mistral-2.0 | 2017-07-28 | 2 | 0% | 100% | 64.15 | 32.07 | 32.07 | 64.27 | 32.14 | 32.14 | 1.00 |
Rank | Solver | Version | Number of solved instances | Detail | % of all instances | % of VBS | Cumulated CPU time on solved instances | Median CPU time | Average CPU time per solved instance | Cumulated WC time on solved instances | Median WC time | Average WC time per solved instance | CPU/WC |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Total number of instances in the category: 510 | |||||||||||||
Virtual Best Solver (VBS) | 420 | 297 SAT, 123 UNSAT | 82% | 100% | 45134.66 | 0.59 | 107.46 | - | - | - | - | ||
1 | choco-solver | 4.0.5 par (2017-08-18) | 385 | 280 SAT, 105 UNSAT | 75% | 92% | 41306.84 | 10.80 | 107.29 | 10359.64 | 2.49 | 26.91 | 3.99 |
2 | choco-solver | 4.0.5 seq (2017-08-18) | 372 | 264 SAT, 108 UNSAT | 73% | 89% | 16902.96 | 3.57 | 45.44 | 15988.97 | 1.70 | 42.98 | 1.06 |
3 | choco-solver | 5a (2017-08-18) | 371 | 262 SAT, 109 UNSAT | 73% | 88% | 31159.54 | 5.04 | 83.99 | 29250.56 | 2.31 | 78.84 | 1.07 |
4 | AbsCon-basic | 2017-06-11 | 368 | 266 SAT, 102 UNSAT | 72% | 88% | 12834.58 | 3.29 | 34.88 | 12058.74 | 1.51 | 32.77 | 1.06 |
5 | Mistral-2.0 | 2017-07-28 | 364 | 273 SAT, 91 UNSAT | 71% | 87% | 22447.19 | 0.87 | 61.67 | 22480.49 | 0.97 | 61.76 | 1.00 |
6 | OscaR - Conflict Ordering | 2017-07-26 | 336 | 234 SAT, 102 UNSAT | 66% | 80% | 22237.89 | 3.37 | 66.18 | 20926.89 | 1.73 | 62.28 | 1.06 |
7 | cosoco | 1.12 | 335 | 238 SAT, 97 UNSAT | 66% | 80% | 21275.49 | 0.67 | 63.51 | 21316.72 | 0.88 | 63.63 | 1.00 |
8 | Concrete | 3.4 | 331 | 238 SAT, 93 UNSAT | 65% | 79% | 26725.11 | 13.83 | 80.74 | 23039.25 | 6.29 | 69.60 | 1.16 |
9 | OscaR - Parallel with EPS | 2017-08-22 | 319 | 220 SAT, 99 UNSAT | 63% | 76% | 31777.91 | 11.42 | 99.62 | 11230.40 | 3.62 | 35.21 | 2.83 |
10 | BTD | 2017-08-10 | 241 | 159 SAT, 82 UNSAT | 47% | 57% | 15196.25 | 1.05 | 63.05 | 15224.15 | 1.17 | 63.17 | 1.00 |
11 | sat4j-CSP | 2017-07-05 | 235 | 168 SAT, 67 UNSAT | 46% | 56% | 45876.36 | 7.99 | 195.22 | 43974.74 | 4.51 | 187.13 | 1.04 |
Rank | Solver | Version | Number of solved instances | % of all instances | % of VBS | Cumulated CPU time on solved instances | Median CPU time | Average CPU time per solved instance | Cumulated WC time on solved instances | Median WC time | Average WC time per solved instance | CPU/WC |
---|---|---|---|---|---|---|---|---|---|---|---|---|
Total number of instances in the category: 510 | ||||||||||||
Virtual Best Solver (VBS) | 297 | 58% | 100% | 36127.21 | 0.46 | 121.64 | - | - | - | - | ||
1 | choco-solver | 4.0.5 par (2017-08-18) | 280 | 55% | 94% | 23640.82 | 9.15 | 84.43 | 6045.01 | 1.99 | 21.59 | 3.91 |
2 | Mistral-2.0 | 2017-07-28 | 273 | 54% | 92% | 11042.40 | 0.49 | 40.45 | 11067.50 | 0.57 | 40.54 | 1.00 |
3 | AbsCon-basic | 2017-06-11 | 266 | 52% | 90% | 7065.19 | 3.05 | 26.56 | 6515.63 | 1.39 | 24.49 | 1.08 |
4 | choco-solver | 4.0.5 seq (2017-08-18) | 264 | 52% | 89% | 11827.54 | 2.70 | 44.80 | 11178.28 | 1.28 | 42.34 | 1.06 |
5 | choco-solver | 5a (2017-08-18) | 262 | 51% | 88% | 21077.56 | 4.24 | 80.45 | 19809.56 | 1.84 | 75.61 | 1.06 |
6 | cosoco | 1.12 | 238 | 47% | 80% | 11239.30 | 0.41 | 47.22 | 11271.84 | 0.55 | 47.36 | 1.00 |
7 | Concrete | 3.4 | 238 | 47% | 80% | 17406.79 | 12.72 | 73.14 | 14962.83 | 5.73 | 62.87 | 1.16 |
8 | OscaR - Conflict Ordering | 2017-07-26 | 234 | 46% | 79% | 11574.63 | 2.90 | 49.46 | 10755.19 | 1.52 | 45.96 | 1.08 |
9 | OscaR - Parallel with EPS | 2017-08-22 | 220 | 43% | 74% | 16621.41 | 10.27 | 75.55 | 6610.50 | 3.41 | 30.05 | 2.51 |
10 | sat4j-CSP | 2017-07-05 | 168 | 33% | 57% | 31639.50 | 7.60 | 188.33 | 30671.52 | 4.24 | 182.57 | 1.03 |
11 | BTD | 2017-08-10 | 159 | 31% | 54% | 10633.32 | 0.86 | 66.88 | 10650.81 | 0.97 | 66.99 | 1.00 |
Rank | Solver | Version | Number of solved instances | % of all instances | % of VBS | Cumulated CPU time on solved instances | Median CPU time | Average CPU time per solved instance | Cumulated WC time on solved instances | Median WC time | Average WC time per solved instance | CPU/WC |
---|---|---|---|---|---|---|---|---|---|---|---|---|
Total number of instances in the category: 510 | ||||||||||||
Virtual Best Solver (VBS) | 123 | 24% | 100% | 9007.45 | 1.24 | 73.23 | - | - | - | - | ||
1 | choco-solver | 5a (2017-08-18) | 109 | 21% | 89% | 10081.98 | 7.71 | 92.50 | 9441.00 | 3.55 | 86.61 | 1.07 |
2 | choco-solver | 4.0.5 seq (2017-08-18) | 108 | 21% | 88% | 5075.42 | 5.83 | 46.99 | 4810.69 | 3.07 | 44.54 | 1.06 |
3 | choco-solver | 4.0.5 par (2017-08-18) | 105 | 21% | 85% | 17666.02 | 22.23 | 168.25 | 4314.63 | 6.51 | 41.09 | 4.09 |
4 | AbsCon-basic | 2017-06-11 | 102 | 20% | 83% | 5769.39 | 3.72 | 56.56 | 5543.11 | 1.94 | 54.34 | 1.04 |
5 | OscaR - Conflict Ordering | 2017-07-26 | 102 | 20% | 83% | 10663.26 | 4.23 | 104.54 | 10171.71 | 2.56 | 99.72 | 1.05 |
6 | OscaR - Parallel with EPS | 2017-08-22 | 99 | 19% | 80% | 15156.49 | 14.00 | 153.10 | 4619.90 | 4.11 | 46.67 | 3.28 |
7 | cosoco | 1.12 | 97 | 19% | 79% | 10036.18 | 1.45 | 103.47 | 10044.88 | 1.52 | 103.56 | 1.00 |
8 | Concrete | 3.4 | 93 | 18% | 76% | 9318.31 | 15.44 | 100.20 | 8076.42 | 6.92 | 86.84 | 1.15 |
9 | Mistral-2.0 | 2017-07-28 | 91 | 18% | 74% | 11404.79 | 2.46 | 125.33 | 11412.99 | 2.55 | 125.42 | 1.00 |
10 | BTD | 2017-08-10 | 82 | 16% | 67% | 4562.93 | 1.17 | 55.65 | 4573.34 | 1.51 | 55.77 | 1.00 |
11 | sat4j-CSP | 2017-07-05 | 67 | 13% | 54% | 14236.86 | 9.92 | 212.49 | 13303.21 | 5.20 | 198.56 | 1.07 |