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Subject: WAC 100 -- Be3 is also a solution -- probably better than b6+

Author: Dann Corbit

Date: 15:04:02 03/09/01


Ever had a problem with WAC 100?  Does your program stubbornly stick to Be3?

For instance, here is Yace:

title "WAC.100"
Stored 4 learned positions into hash table
solution  b6+
usetime = 719.00, mintime = 719.00 maxtime = 719.00 tl 719.00 ml 0
         6   0.000   0.80  1t  1.b6+ Bxb6 {0}
         8   0.000   1.23  1t  1.Be1 Bxf4 {0}
        11   0.000   2.78  1t  1.Bc1 {80}
        17   0.001   2.78  1.  1.Bc1 {80}
        30   0.001   2.58  2t  1.Bc1 Bb6 {80}
        85   0.001   2.58  2.  1.Bc1 Bb6 {80}
       130   0.001   2.63  3t  1.Bc1 Bb6 2.Bb2 {80}
       272   0.001   2.63  3.  1.Bc1 Bb6 2.Bb2 {80}
       350   0.002   2.83  4t  1.Bc1 Bb6 2.Bb2 Bc7 {80}
       541   0.002   2.83  4.  1.Bc1 Bb6 2.Bb2 Bc7 {80}
       698   0.002   2.70  5t  1.Bc1 Bb6 2.Bb2 Bc7 3.Ba3 {80}
      1139   0.003   2.70  5.  1.Bc1 Bb6 2.Bb2 Bc7 3.Ba3 {80}
      2946   0.006   2.78  6t  1.Bc1 Bd6 2.Be3 Be7 3.Ka5 Bd8+ 4.Ka4 {80}
      3819   0.007   2.78  6.  1.Bc1 Bd6 2.Be3 Be7 3.Ka5 Bd8+ 4.Ka4 {80}
      7446   0.012   2.76  7t  1.Bc1 Bb6 2.Ba3 Ka8 3.Bb2 Bc7 4.Bxf6 Bxf4 {80}
     11430   0.022   2.77  7t+ 1.Be3 Ba5
     12959   0.024   2.87  7t  1.Be3 Bb6 2.Kb3 Kb8 3.Bc1 Ba7 4.Kc3 {80}
     13679   0.026   2.87  7.  1.Be3 Bb6 2.Kb3 Kb8 3.Bc1 Ba7 4.Kc3 {80}
     21391   0.037   2.83  8t  1.Be3 Bd6 2.Bf2 Be7 3.Bg1 Bf8 4.Ka5 Bd6 {80}
     25190   0.042   2.83  8.  1.Be3 Bd6 2.Bf2 Be7 3.Bg1 Bf8 4.Ka5 Bd6 {80}
     38288   0.060   2.84  9t  1.Be3 Bd6 2.Kb3 Kb6 3.Bd2 Ka7 4.Kc3 Bc7 5.Be3
                               {80}
     43466   0.067   2.84  9.  1.Be3 Bd6 2.Kb3 Kb6 3.Bd2 Ka7 4.Kc3 Bc7 5.Be3
                               {80}
     65354   0.096   2.84 10t  1.Be3 Bd6 2.Kb3 Kb6 3.Kc2 Ka7 4.Kd3 Be7 5.Bd2
                               Bd6 {80}
     75652   0.110   2.85 10t+ 1.Kb3 Bd6 2.Kc2 Bc7 3.Kd3 Kb6
     88717   0.127   2.84 10t- 1.Kb3 Bd6 2.Kc2 Bc7 3.Kd3 Bb6 4.Bc3 Bc7 5.Ke3H
                               Bd8H {80}
     88717   0.127   2.84 10t  1.Be3 Bd6 2.Kb3 Kb6 3.Kc2 Ka7 4.Kd3 Be7 5.Bd2
                               Bd6 {80}
     95449   0.137   2.84 10.  1.Be3 Bd6 2.Kb3 Kb6 3.Kc2 Ka7 4.Kd3 Be7 5.Bd2
                               Bd6 {80}
    116030   0.164   2.84 11t  1.Be3 Bd6 2.Kb3 Kb6 3.Kc2 Ka7 4.Kd3 Be7 5.Bd2
                               Bd6 6.Ke3 {80}
    158899   0.219   2.84 11.  1.Be3 Bd6 2.Kb3 Kb6 3.Kc2 Ka7 4.Kd3 Be7 5.Bd2
                               Bd6 6.Ke3 {80}
    224493   0.307   2.87 12t  1.Be3 Bd6 2.Kb3 Kb6 3.Kc2 Ka7 4.Kd3 Be7 5.Bd2
                               Bd6 6.Ke3 Bc7 {80}
    260883   0.353   2.87 12.  1.Be3 Bd6 2.Kb3 Kb6 3.Kc2 Ka7 4.Kd3 Be7 5.Bd2
                               Bd6 6.Ke3 Bc7 {80}
    289048   0.389   2.87 13t  1.Be3 Bd6 2.Kb3 Kb6 3.Kc2 Ka7 4.Kd3 Be7 5.Bd2
                               Bd6 6.Ke3 Bc7 7.Kd3 {80}
    370637   0.500   2.87 13.  1.Be3 Bd6 2.Kb3 Kb6 3.Kc2 Ka7 4.Kd3 Be7 5.Bd2
                               Bd6 6.Ke3 Bc7 7.Kd3 {80}
    412035   0.552   2.87 14t  1.Be3 Bd6 2.Kb3 Kb6 3.Kc2 Ka7 4.Kd3 Be7 5.Bc1
                               Bd6 6.Ke3 Bf8 7.Bb2 Bg7 {80}
    527360   0.691   2.87 14.  1.Be3 Bd6 2.Kb3 Kb6 3.Kc2 Ka7 4.Kd3 Be7 5.Bc1
                               Bd6 6.Ke3 Bf8 7.Bb2 Bg7 {80}
    599760   0.780   2.87 15t  1.Be3 Bd6 2.Kb3 Kb6 3.Kc2 Ka7 4.Kd3 Be7 5.Bc1
                               Bd6 6.Ke3 Bf8 7.Bb2 Bg7 8.Kd3 {80}
    850733   1.102   2.87 15.  1.Be3 Bd6 2.Kb3 Kb6 3.Kc2 Ka7 4.Kd3 Be7 5.Bc1
                               Bd6 6.Ke3 Bf8 7.Bb2 Bg7 8.Kd3 {80}
   1166824   1.530   2.92 16t  1.Be3 Bd6 2.Kb3 Kb6 3.Kc2 Ka7 4.Kd3 Be7 5.Bc1
                               Bd6 6.Ke3 Bf8 7.Bb2 Be7 8.Kd3 Bd8 {80}
   1716986   2.243   2.92 16.  1.Be3 Bd6 2.Kb3 Kb6 3.Kc2 Ka7 4.Kd3 Be7 5.Bc1
                               Bd6 6.Ke3 Bf8 7.Bb2 Be7 8.Kd3 Bd8 {80}
   1993889   2.596   2.92 17t  1.Be3 Bd6 2.Kb3 Kb6 3.Kc2 Ka7 4.Kd3 Be7 5.Bc1
                               Bd6 6.Ke3 Bf8 7.Bb2 Be7 8.Kd3 Bd8 9.Ke3 {80}
   3120785   4.056   2.92 17.  1.Be3 Bd6 2.Kb3 Kb6 3.Kc2 Ka7 4.Kd3 Be7 5.Bc1
                               Bd6 6.Ke3 Bf8 7.Bb2 Be7 8.Kd3 Bd8 9.Ke3 {80}
   3829453   4.954   2.87 18t  1.Be3 Bd6 2.Kb3 Kb6 3.Kc2 Ka7 4.Kd3 Be7 5.Bc1
                               Bd6 6.Ke3 Bf8 7.Bd2 Be7 8.Ba5 Bf8 9.Bc7 Bg7 {80}
   5901543   7.891   2.87 18.  1.Be3 Bd6 2.Kb3 Kb6 3.Kc2 Ka7 4.Kd3 Be7 5.Bc1
                               Bd6 6.Ke3 Bf8 7.Bd2 Be7 8.Ba5 Bf8 9.Bc7 Bg7 {80}
   7183510   9.672   2.87 19t  1.Be3 Bd6 2.Kb3 Kb6 3.Kc2 Ka7 4.Kd3 Be7 5.Bc1
                               Bd6 6.Ke3 Be7 7.Kf3 Bd8 8.Bb2 Be7 9.Ba3 Bf8
                               10.Bb2 {80}
   8539783  11.608   2.88 19t+ 1.Kb3 Bd6 2.Kc2 Bc7
   9596313  13.013   2.90 19t  1.Kb3 Bd6 2.Kc2 Bc7 3.Kd3 Bd6 4.Ke3 Bc7 5.Bc3
                               Bd8 6.Kd3 Be7 7.Ke2H Bd8H {80}
  12142876  16.647   2.90 19.  1.Kb3 Bd6 2.Kc2 Bc7 3.Kd3 Bd6 4.Ke3 Bc7 5.Bc3
                               Bd8 6.Kd3 Be7 7.Ke2 Bd8 {80}
  18340661  24.993   2.89 20t  1.Kb3 Bd6 2.Kc2 Bc7 3.Kd3 Bd6 4.Ke3 Bc7 5.Bc3
                               Bd8 6.Kd3 Kb8 7.Bb2 Ka7 8.Ke3 Be7 9.Kf3 Bd8
                               10.Ke2 Be7 11.Bc3H Bd8H 12.Kf3H {HT}
  18636479  25.409   2.90 20t+ 1.Be3 Bd6 2.Bc1 Kb6 3.Bd2 Ka7 4.Be3 Kb6 5.Kb3H
                               Ka7H 6.Kc2H Kb6H {HT}
  22466876  30.877   3.30 20++ 1.Be3 Bd6 2.Ka5 Bc7+ 3.b6+ Bxb6+ 4.Kb5 Bc7
                               5.Bxc5+ Ka8 6.Be7 Ka7 7.c5 Ba5
  26921785  37.418   4.40 20t  1.Be3 Bd6 2.Ka5 Bc7+ 3.b6+ Bxb6+ 4.Kb5 Bc7
                               5.Bxc5+ Ka8 6.Be7 Bxf4 7.c5 Bc7 8.Bd6 Bd8 9.c6
                               f4 10.Bxf4 Ka7 11.c7 Bxc7 12.Bxc7 Ka8 13.Kc5
                               {350}
  32361312  45.416   4.40 20.  1.Be3 Bd6 2.Ka5 Bc7+ 3.b6+ Bxb6+ 4.Kb5 Bc7
                               5.Bxc5+ Ka8 6.Be7 Bxf4 7.c5 Bc7 8.Bd6 Bd8 9.c6
                               f4 10.Bxf4 Ka7 11.c7 Bxc7 12.Bxc7 Ka8 13.Kc5
                               {350}
  36482229  50.913   4.23 21t  1.Be3 Bd6 2.Ka5 Bc7+ 3.b6+ Bxb6+ 4.Kb5 Bc7
                               5.Bxc5+ Ka8 6.Be7 Bxf4 7.c5 Bc7 8.Bd6 Bd8 9.c6
                               f4 10.Bxf4 Ka7 11.c7 Bxc7 12.Bxc7 Ka8 13.Kb6 f5
                               {HT} {350}
  45567619  1:03.9   4.23 21.  1.Be3 Bd6 2.Ka5 Bc7+ 3.b6+ Bxb6+ 4.Kb5 Bc7
                               5.Bxc5+ Ka8 6.Be7 Bxf4 7.c5 Bc7 8.Bd6 Bd8 9.c6
                               f4 10.Bxf4 Ka7 11.c7 Bxc7 12.Bxc7 Ka8 13.Kb6 f5
                               {HT} {350}
  52328771  1:13.4   4.63 22++ 1.Be3 Bd6 2.Ka5 Bc7+ 3.b6+ Bxb6+ 4.Kb5 Bc7
                               5.Bxc5+ Ka8 6.Be7 Bxf4 7.c5 Bc7 8.Bd6 Ka7
  67489726  1:33.3   5.41 22t  1.Be3 Bd6 2.Ka5 Bc7+ 3.b6+ Bxb6+ 4.Kb5 Bc7
                               5.Bxc5+ Ka8 6.Be7 Bxf4 7.c5 Bc7 8.Bd6 Bd8 9.c6
                               f4 10.Bxf4 f5 11.c7 Bxc7 12.Bxc7 f4 13.Bxf4 Ka7
                               14.Be3+ Kb8 {430}
  85959854  1:58.8   5.41 22.  1.Be3 Bd6 2.Ka5 Bc7+ 3.b6+ Bxb6+ 4.Kb5 Bc7
                               5.Bxc5+ Ka8 6.Be7 Bxf4 7.c5 Bc7 8.Bd6 Bd8 9.c6
                               f4 10.Bxf4 f5 11.c7 Bxc7 12.Bxc7 f4 13.Bxf4 Ka7
                               14.Be3+ Kb8 {430}
 111595971  2:33.5   5.47 23t  1.Be3 Bd6 2.Ka5 Bc7+ 3.b6+ Bxb6+ 4.Kb5 Bc7
                               5.Bxc5+ Ka8 6.Be7 Bxf4 7.c5 Bc7 8.Bd6 Bd8 9.c6
                               f4 10.Bxf4 f5 11.c7 Bxc7 12.Bxc7 Ka7 13.Bg3 f4
                               14.Bxf4 Ka8 {HT} {430}
 146009562  3:20.4   5.47 23.  1.Be3 Bd6 2.Ka5 Bc7+ 3.b6+ Bxb6+ 4.Kb5 Bc7
                               5.Bxc5+ Ka8 6.Be7 Bxf4 7.c5 Bc7 8.Bd6 Bd8 9.c6
                               f4 10.Bxf4 f5 11.c7 Bxc7 12.Bxc7 Ka7 13.Bg3 f4
                               14.Bxf4 Ka8 {HT} {430}
 188090711  4:15.7   5.41 24t  1.Be3 Bd6 2.Ka5 Bc7+ 3.b6+ Bxb6+ 4.Kb5 Bc7
                               5.Bxc5+ Ka8 6.Be7 Bxf4 7.c5 Bc7 8.Bd6 Bd8 9.c6
                               f4 10.Bxf4 f5 11.c7 Bxc7 12.Bxc7 Ka7 13.Bg3 f4
                               14.Bxf4 Ka8 15.Be3 Kb8 {430}
 245154569  5:32.1   5.41 24.  1.Be3 Bd6 2.Ka5 Bc7+ 3.b6+ Bxb6+ 4.Kb5 Bc7
                               5.Bxc5+ Ka8 6.Be7 Bxf4 7.c5 Bc7 8.Bd6 Bd8 9.c6
                               f4 10.Bxf4 f5 11.c7 Bxc7 12.Bxc7 Ka7 13.Bg3 f4
                               14.Bxf4 Ka8 15.Be3 Kb8 {430}
 301932061  6:48.7   5.45 25t  1.Be3 Bd6 2.Ka5 Bc7+ 3.b6+ Bxb6+ 4.Kb5 Bc7
                               5.Bxc5+ Ka8 6.Be7 Bxf4 7.c5 Bc7 8.Bd6 Bd8 9.c6
                               f4 10.Bxf4 f5 11.c7 Bxc7 12.Bxc7 Ka7 13.Bg3 Ka8
                               14.Bh2 f4 15.Bxf4 Ka7 16.Be3+ Ka8 {HT} {430}
 379567981  8:38.4   5.45 25.  1.Be3 Bd6 2.Ka5 Bc7+ 3.b6+ Bxb6+ 4.Kb5 Bc7
                               5.Bxc5+ Ka8 6.Be7 Bxf4 7.c5 Bc7 8.Bd6 Bd8 9.c6
                               f4 10.Bxf4 f5 11.c7 Bxc7 12.Bxc7 Ka7 13.Bg3 Ka8
                               14.Bh2 f4 15.Bxf4 Ka7 16.Be3+ Ka8 {HT} {430}
 514415273 11:41.9   5.50 26t  1.Be3 Bd6 2.Ka5 Bc7+ 3.b6+ Bxb6+ 4.Kb5 Bc7
                               5.Bxc5+ Ka8 6.Bb6 Bxf4 7.c5 Be5 8.c6 f4 9.c7
                               Bxc7 10.Bxc7 f3 11.Bb6 f2 12.Bxf2 Kb8 13.Kc6 f5
                               14.Kd5 f4 15.Bc5 f3 16.Ke4 f2 17.Bxf2 Kc8 18.a7
                               Kb7 {430}
 527049526 11:58.9   5.50 26u. 1.Be3 Bd6 2.Ka5 Bc7+ 3.b6+ Bxb6+ 4.Kb5 Bc7
                               5.Bxc5+ Ka8 6.Bb6 Bxf4 7.c5 Be5 8.c6 f4 9.c7
                               Bxc7 10.Bxc7 f3 11.Bb6 f2 12.Bxf2 Kb8 13.Kc6 f5
                               14.Kd5 f4 15.Bc5 f3 16.Ke4 f2 17.Bxf2 Kc8 18.a7
                               Kb7 {430}
527049526 Nodes, 8.84% Leavenodes, 733039 Nodes/sec
167832084 eval, 70.80% score, 1778685184 genmoves, 3.27% captures le 524/463
ext: pawn 10757117, rcp 3017040, chk 12969818, repchk 1189608, null 52834, prune
938658
htable: 293127047 store, 0 rejected, 525255527 probe, 60.1% f/p, 107.7% f/s
entries 3333333 age 0 renew 0
egtb probes 0, found 0
solution not found

Well, don't fix it.  It's probably not broken.  Consider crafty going wild on a
fail high on Be3 that hammered its little CPU noggin for an hour.  Probably
spotted a checkmate.  It takes a pretty massive fail-high to hang that long:

EPD Kit revision date: 1996.04.21
unable to open book file [e:\crafty\release/book.bin].
book is disabled
unable to open book file [e:\crafty\release/books.bin].
hash table memory = 24M bytes.
pawn hash table memory = 2.5M bytes.
EGTB cache memory = 2M bytes.
draw score set to    0.00 pawns.
book file enabled.
choose from book moves randomly (using weights.)
choose from 5 best moves.
book learning enabled
result learning enabled
position learning enabled
threshold set to 9 pawns.
4 piece tablebase files found
89kb of RAM used for TB indices and decompression tables

Crafty v18.4

White(1): st 3600
search time set to 3600.00.
White(1): test rh.ci
======================================================================
! "WAC.100"                                                          !
======================================================================
solution 1. b6+
end-game phase
              time surplus   0.00  time limit 60:00 (60:00)
         nss  depth   time  score   variation (1)
               11     0.18   4.10   1. Be3 Bd6 2. Bf2 Kb6 3. Kb3 Bb8 4.
                                    Bg3 Bc7 5. Kc3 Bd6 6. Kd3
               11->   0.24   4.10   1. Be3 Bd6 2. Bf2 Kb6 3. Kb3 Bb8 4.
                                    Bg3 Bc7 5. Kc3 Bd6 6. Kd3
               12     0.30   3.91   1. Be3 Bd6 2. Kb3 Kb6 3. Kc3 Bb8 4.
                                    Kd3 Ba7 5. Bd2 Bb8 6. Ke3 Ba7
               12     0.48   4.21   1. Kb3 Bb6 2. Kc3 Bc7 3. Kd3 Bd6 4.
                                    Ke3 Bf8 5. Bc3 Be7 6. Ba5 Bd6
               12->   0.56   4.21   1. Kb3 Bb6 2. Kc3 Bc7 3. Kd3 Bd6 4.
                                    Ke3 Bf8 5. Bc3 Be7 6. Ba5 Bd6
               13     0.64   4.26   1. Kb3 Bb6 2. Kc3 Bc7 3. Kd3 Bd6 4.
                                    Ke3 Bf8 5. Bc3 Be7 6. Bb2 Kb6 7. Bc3
               13->   0.90   4.26   1. Kb3 Bb6 2. Kc3 Bc7 3. Kd3 Bd6 4.
                                    Ke3 Bf8 5. Bc3 Be7 6. Bb2 Kb6 7. Bc3
               14     1.16   4.21   1. Kb3 Bb6 2. Kc3 Bc7 3. Kd3 Bd6 4.
                                    Ke3 Bf8 5. Be1 Bd6 6. Ba5 Bb8 7. Bc3
                                    Bd6
               14->   1.94   4.21   1. Kb3 Bb6 2. Kc3 Bc7 3. Kd3 Bd6 4.
                                    Ke3 Bf8 5. Be1 Bd6 6. Ba5 Bb8 7. Bc3
                                    Bd6
               15     2.26   4.24   1. Kb3 Bb6 2. Kc3 Bc7 3. Kd3 Bd6 4.
                                    Ke3 Bc7 5. Bc3 Bd8 6. Kf2 Bc7 7. Kg3
                                    Bd8 8. Kf3
               15->   3.58   4.24   1. Kb3 Bb6 2. Kc3 Bc7 3. Kd3 Bd6 4.
                                    Ke3 Bc7 5. Bc3 Bd8 6. Kf2 Bc7 7. Kg3
                                    Bd8 8. Kf3
               16     4.78   4.21   1. Kb3 Bb6 2. Kc3 Bc7 3. Kd3 Bd6 4.
                                    Ke3 Bc7 5. Bc1 Bb6 6. Bb2 Bd8 7. Bc3
                                    Be7 8. Ba5 Bd6
               16     8.97   4.37   1. b6+ Bxb6 2. Kb5 Bc7 3. Be3 Ka8 4.
                                    Kxc5 Ka7 5. Kc6+ Ka8 6. Kd7 Ba5 7.
                                    Ke6 Bc3 8. Kxf5 Kb8 9. a7+ Ka8 10.
                                    Bb6
               16->   9.55   4.37   1. b6+ Bxb6 2. Kb5 Bc7 3. Be3 Ka8 4.
                                    Kxc5 Ka7 5. Kc6+ Ka8 6. Kd7 Ba5 7.
                                    Ke6 Bc3 8. Kxf5 Kb8 9. a7+ Ka8 10.
                                    Bb6
               17    11.05   4.48   1. b6+ Bxb6 2. Kb5 Bc7 3. Be3 Ka8 4.
                                    Kxc5 Ka7 5. Kc6+ Ka8 6. Kd7 Ba5 7.
                                    Ke6 Be1 8. Kxf6 Bxh4+ 9. Kxf5 Bg3 10.
                                    Ke6 h4
               17->  23.08   4.48   1. b6+ Bxb6 2. Kb5 Bc7 3. Be3 Ka8 4.
                                    Kxc5 Ka7 5. Kc6+ Ka8 6. Kd7 Ba5 7.
                                    Ke6 Be1 8. Kxf6 Bxh4+ 9. Kxf5 Bg3 10.
                                    Ke6 h4
               18    24.55   4.62   1. b6+ Bxb6 2. Kb5 Bc7 3. Be3 Ka8 4.
                                    Kxc5 Ka7 5. Kc6+ Ka8 6. Kd7 Ba5 7.
                                    Ke6 Bd8 8. Kxf5 Kb8 9. Ke6 Ka8 10.
                                    f5 Kb8
               18->  48.03   4.62   1. b6+ Bxb6 2. Kb5 Bc7 3. Be3 Ka8 4.
                                    Kxc5 Ka7 5. Kc6+ Ka8 6. Kd7 Ba5 7.
                                    Ke6 Bd8 8. Kxf5 Kb8 9. Ke6 Ka8 10.
                                    f5 Kb8
               19    50.99   5.01   1. b6+ Bxb6 2. Kb5 Bc7 3. Be3 Ka8 4.
                                    Kxc5 Ka7 5. Kc6+ Ka8 6. Kd7 Ba5 7.
                                    Ke6 Kb8 8. Kxf6 Bd8+ 9. Kxf5 Bxh4 10.
                                    a7+ Ka8 11. Ke6 Bg3 12. f5
               19->   1:51   5.01   1. b6+ Bxb6 2. Kb5 Bc7 3. Be3 Ka8 4.
                                    Kxc5 Ka7 5. Kc6+ Ka8 6. Kd7 Ba5 7.
                                    Ke6 Kb8 8. Kxf6 Bd8+ 9. Kxf5 Bxh4 10.
                                    a7+ Ka8 11. Ke6 Bg3 12. f5
               20     1:57   5.10   1. b6+ Bxb6 2. Kb5 Bc7 3. Be3 Ka8 4.
                                    Kxc5 Ka7 5. Kc6+ Ka8 6. Kd7 Bb8 7.
                                    Ke6 Ba7 8. Bxa7 Kxa7 9. c5 Kxa6 10.
                                    c6 Kb6 11. Kd6 Ka6
               20     4:47     ++   1. Be3!!
              time=60:00  cpu=99%  mat=1  n=2422136780  fh=13%  nps=672752
              ext-> chk=448093718 pp=9465710 1rep=60100812 mate=70919
              predicted=0  nodes=2422136780  evals=29463648
              endgame tablebase-> probes done=31  successful=31
----------------------> solution incorrect (0/1).



test results summary:

total positions searched..........           1
number right......................           0
number wrong......................           1
percentage right..................           0
percentage wrong..................         100
total nodes searched..............2422136780.0
average search depth..............        20.0
nodes per second..................      672752
White(1):



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Last modified: Thu, 15 Apr 21 08:11:13 -0700

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