Table 2.

Openings solved. Shown are the opening moves (using the standard square number scheme in Fig. 1, bottom), the result, the number of positions given to the solvers, and the position farthest from the start of the game that was searched (Max ply). The last two columns give the size and ply depth of the pruned minimal proof tree. Note that the total does not match the sum of the 19 openings. The combined tree has some duplicated nodes, which have been removed when reporting the total.

No. Opening Proof Searches Max ply Minimal size Max ply
1 09-13 22-17 13-22 Draw 736,984 56 275,097 55
2 09-13 21-17 05-09 Draw 1,987,856 154 684,403 85
3 09-13 22-18 10-15 Draw 715,280 103 265,745 58
4 09-13 23-18 05-09 Draw 671,948 119 274,376 94
5 09-13-23-19 11-16 Draw 964,193 85 358,544 71
6 09-13 24-19 11-15 Draw 554,265 53 212,217 49
7 09-13 24-20 11-15 Draw 1,058,328 59 339,562 58
8 09-14 23-18 14-23 ≤Draw 2,202,533 77 573,735 75
9 10-14 23-18 14-23 ≤Draw 1,296,790 58 336,175 55
10 10-15 22-18 15-22 ≤Draw 543,603 60 104,882 41
11 11-15 22-18 15-22 ≤Draw 919,594 67 301,310 59
12 11-16 23-19 16-23 ≤Draw 1,969,641 69 565,202 64
13 12-16 24-19 09-13 Loss 205,385 44 49,593 40
14 12-16 24-19 09-14 ≤Draw 61,279 45 23,396 44
15 12-16 24-19 10-14 ≤Draw 21,328 31 8,917 31
16 12-16 24-19 10-15 ≤Draw 31,473 35 13,465 35
17 12-16 24-19 11-15 ≤Draw 23,803 34 9,730 34
18 12-16 24-19 16-20 ≤Draw 283,353 49 113,210 49
19 12-16 24-19 08-12 ≤Draw 266,924 49 107,109 49
Overall Draw Total Max Total Max
15,123,711 154 3,301,807 94