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Subject: Re: One mate to solve.

Author: Heiner Marxen

Date: 06:43:51 08/08/01

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On August 03, 2001 at 11:12:00, Angrim wrote:

>On August 02, 2001 at 17:30:17, leonid wrote:
>
>>Hi!
>>
>>If you are ready  for solving one mate, look into this:
>>
>>[D]5QRq/4BBqr/3QNqnq/1KQQqbbk/3QNqn1/4QQqr/5QRq/6Qq w - -
>>
>>Please indicate your result.
>>
>>Thanks,
>>Leonid.
>
>proved that move e6xf4 wins, 13 turns
>PN2:23839139 evals, 635533 expands, 138.93 seconds
>
>Interestingly, more than 95% of the search time was spent searching the
>correct move. e4xf6 got another 4% or so, and might also be winning.
>
>Angrim

Hello Leonid & Angrim!

Since I were away for a week, I also try the older problems, like this one...

The move 1.Nxf4+ that Angrim's program finds, in fact (i.e. according to Chest)
is a mate in 8!  As are  1.Nxg3+  and  1.Q6xe5.  Here are Chest's PVs:

PV: Nxf4+ Qexf4 Nxf6+ Qxf6 Qxh6+ Rxh6 Qexf4 Bd3+ Ka5 Bf5 Q3xg4+ Qxg4 Qxg4+ Bxg4
Qxg4#
PV: Nxg3+ Qfxg3 Qdxg4+ Bxg4 Q6xe5 Qf5 Qfxf5 Bxf5 Qef3+ Qg4 Qxg4+ Bxg4 Qxg5+ Qxg5
Qxg5#
PV: Q6xe5 Rh4 Nxg3+ Qfxg3 Qfxg4+ Qxg4 Qxg4+ Rxg4 Rxh2+ Rh4 Nf4+ Bxf4 Qfe2+ Qf3
Q2xf3#

OTOH, this mate in 8 was quite expensive to calculate: on my K7/600 with
350 MB hash it needed 13.7 hours.  Due to some near solutions the EBF
increased in the last depth, while it was already above 10:

 depth   time    EBF[T]              EBF[N]
#  1      0.00s                 0kN           0.87          1-         0
#  2      0.00s                 0kN           1.00          1-         0
#  3      0.08s                 6kN [ 34.99]  0.99         98-         0
#  4      1.80s [ 22.50]      100kN [ 17.61]  1.09       4962-         0
#  5     21.14s [ 11.74]     1115kN [ 11.10]  1.26      79456-         0
#  6    214.72s [ 10.16]    11202kN [ 10.05]  1.53     881887-         0
#  7   2543.97s [ 11.85]   134530kN [ 12.01]  1.75   10253761-   1921374
#  8  49368.95s [ 19.41]  2683852kN [ 19.95]  1.68  192280810- 183532909

Chest's "refutation table" reveals some of the effort it had to spend for
non-solution moves like Qxg7:

refu  1: Nxf4+   Qexf4   [  6-]
solu         21: Qexf4   [  7+]
solu         22: Qgxf4   [  7+]
solu         23: Bxf4    [  7+]
solu         24: Kh4     [  3+]
refu  2: Nxg7+   Rxg7    [  7-]
refu  3: Nxf6+   Qgxf6   [  7-]
solu          6: Qexf6   [  6+]
refu  4: Nxg3+   Rxg3    [  6-]
solu         25: Rxg3    [  7+]
solu         26: Qfxg3   [  7+]
solu         27: Qhxg3   [  7+]
solu         28: Kh4     [  3+]
refu  5: Bxg6+   Qgxg6   [  7-]
solu         29: Bxg6    [  7+]
refu  6: Qxg4+   Bxg4    [  7-]
refu  7: Nc7     Bd7+    [  7-]
refu  8: Nd8     Bd7+    [  7-]
refu  9: N6xg5   Bd7+    [  7-]
refu 10: Nc3     Bd3+    [  7-]
refu 11: Nd2     Bd3+    [  7-]
refu 12: N4xg5   Bd3+    [  7-]
refu 13: Be8     Qfxe4   [  7-]
refu 14: Bxf6    Qfxf3   [  7-]
solu         30: Qfxe4   [  7+]
solu         31: Qxe6    [  7+]
solu         32: Qexe4   [  7+]
refu 15: Bd8     Qfxe4   [  7-]
refu 16: Rxh8    Qfxe4   [  7-]
refu 17: Rxg7    Qfxe4   [  7-]
refu 18: Rxh2    Qgxf3   [  7-]
solu         33: Qfxe4   [  7+]
solu         34: Qfxe6   [  7+]
solu         35: Qexe6   [  5+]
solu         36: Qexe4   [  6+]
refu 19: Rxg3    Qfxf3   [  7-]
solu          3: Qfxe6   [  4+]
solu          4: Qexe6   [  5+]
solu          7: Qfxe4   [  6+]
solu          8: Qexe4   [  5+]
refu 20: Qxh1    Qfxf3   [  7-]
solu         37: Qfxe4   [  7+]
solu         38: Qfxe6   [  7+]
solu         39: Qexe6   [  6+]
solu         40: Qexe4   [  7+]
refu 21: Qgf1    Qxf1+   [  7-]
refu 22: Qge1    Qf1+    [  7-]
refu 23: Qgd1    Qf1+    [  7-]
refu 24: Qgc1    Qf1+    [  7-]
refu 25: Qb1     Qxb1+   [  7-]
refu 26: Qga1    Qb1+    [  7-]
refu 27: Qxh2    Qb1+    [  7-]
refu 28: Qe8     Qfxe4   [  7-]
refu 29: Qfd8    Qfxe4   [  7-]
refu 30: Qfc8    Qfxe6   [  7-]
refu 31: Qfb8    Qfxe6   [  7-]
refu 32: Qfa8    Qfxe6   [  7-]
refu 33: Qxg7    Qxe3    [  7-]
solu         41: Qfxe4   [  7+]
solu         42: Qfxe6   [  7+]
solu         43: Qexe6   [  7+]
solu         44: Qexe4   [  6+]
solu         45: Qfxf3   [  7+]
solu         46: Qxd5    [  6+]
solu         47: Q2xg1   [  6+]
solu         48: Q2xg2   [  7+]
solu         49: Qgxg2   [  7+]
solu         50: Qxd4    [  6+]
solu         51: Qxd6    [  5+]
solu         52: Bxe4    [  6+]
solu         53: Bxe6    [  6+]
refu 34: Q3xg3   Qhxg3   [  7-]
solu         54: Qfxe6   [  7+]
solu         55: Qexe6   [  6+]
solu         56: Qfxe4   [  7+]
solu         57: Qexe4   [  6+]
solu         58: Qfxf7   [  7+]
solu         59: Qxd5    [  6+]
solu         60: Q2xg1   [  5+]
solu         61: Q2xg2   [  7+]
solu         62: Qxd4    [  2+]
solu         63: Qxd6    [  6+]
solu         64: Bxe6    [  7+]
solu         65: Bxe4    [  5+]
solu         66: Qxe3    [  3+]
solu         67: Qxe7    [  7+]
solu         68: Qxf2    [  3+]
solu         69: Qxf8    [  7+]
solu         70: Qgxf7   [  7+]
solu         71: Q1xg1   [  5+]
solu         72: Qf3     [  6+]
solu         73: Q1xg2   [  7+]
solu         74: Nxe3    [  5+]
solu         75: Nxf2    [  5+]
solu         76: Rxg3    [  7+]
refu 35: Qfxf4   Qxf8    [  7-]
solu          1: Qfxe6   [  2+]
solu          5: Qexe6   [  5+]
solu         77: Qxe4    [  7+]
solu         78: Qfxf7   [  2+]
solu         79: Qxd5    [  6+]
solu         80: Q2xg1   [  6+]
solu         81: Q2xg2   [  7+]
solu         82: Qgxg2   [  6+]
solu         83: Qxd4    [  7+]
solu         84: Qxd6    [  5+]
solu         85: Bxe4    [  6+]
solu         86: Bxe6    [  7+]
solu         87: Qxe3    [  3+]
solu         88: Qxe7    [  7+]
solu         89: Qxf2    [  3+]
refu 36: Qf3e2   Qfxe3   [  7-]
refu 37: Qfd1    Qfxe3   [  7-]
refu 38: Q2e2    Qfxf3   [  7-]
refu 39: Qfd2    Qfxe4   [  7-]
refu 40: Qfc2    Qfxe4   [  7-]
refu 41: Qfb2    Qfxe4   [  7-]
refu 42: Qfa2    Qfxe4   [  7-]
refu 43: Qff1    Q2xg2   [  7-]
refu 44: Q2xg3   Qxf3    [  7-]
solu          2: Qfxe4   [  3+]
solu          9: Qfxe6   [  6+]
solu         10: Qexe6   [  6+]
solu         11: Qexe4   [  4+]
solu         12: Qfxf7   [  4+]
solu         13: Qxd5    [  3+]
solu         14: Q2xg1   [  4+]
solu         90: Q2xg2   [  7+]
solu         91: Qxd4    [  2+]
solu         92: Qxd6    [  4+]
solu         93: Bxe4    [  2+]
solu         94: Bxe6    [  4+]
solu         95: Qxe3    [  2+]
solu         96: Qxe7    [  4+]
refu 45: Qfe1    Qfxe4   [  7-]
refu 46: Qed3    Qfxe4   [  7-]
refu 47: Qec3    Qfxe6   [  7-]
refu 48: Qeb3    Qfxf3   [  7-]
refu 49: Qea3    Qfxe4   [  7-]
refu 50: Qee2    Qfxf3   [  7-]
refu 51: Qee1    Qfxe4   [  7-]
refu 52: Qexf4   Qxf3    [  7-]
solu         15: Qfxe6   [  6+]
solu         16: Qexe6   [  6+]
solu         17: Qxe4    [  6+]
solu         18: Qfxf7   [  4+]
solu         19: Qxd5    [  4+]
solu         20: Q2xg1   [  4+]
solu         97: Q2xg2   [  7+]
solu         98: Qgxg2   [  4+]
solu         99: Qxd4    [  7+]
solu        100: Qxd6    [  4+]
solu        101: Bxe4    [  2+]
solu        102: Bxe6    [  4+]
refu 53: Qed2    Qfxe4   [  7-]
refu 54: Qec1    Qfxe4   [  7-]
refu 55: Q6c6    Qb8+    [  7-]
refu 56: Qdb6    Qfxe6   [  7-]
refu 57: Qa6     Qb8+    [  7-]
refu 58: Qd7     Qb8+    [  7-]
refu 59: Qdd8    Qb8+    [  7-]
refu 60: Q6xe5   Qxe6    [  6-]
solu        103: Qxe6    [  7+]
solu        104: Qxe4    [  7+]
solu        105: Qfxf3   [  7+]
solu        106: Qfxf7   [  7+]
solu        107: Q2xg1   [  5+]
solu        108: Qxe7    [  6+]
solu        109: Q2xg2   [  7+]
solu        110: Qgxg2   [  7+]
solu        111: Bxe4    [  4+]
solu        112: Bxe6    [  4+]
solu        113: Qxe3    [  6+]
solu        114: Qgxf3   [  7+]
solu        115: Qxf2    [  6+]
solu        116: Qxf8    [  6+]
solu        117: Qgxf7   [  7+]
solu        118: Q1xg1   [  5+]
solu        119: Q1xg2   [  7+]
solu        120: Q4xe5   [  7+]
solu        121: Q6xe5   [  7+]
solu        122: Rh4     [  7+]
solu        123: Qh4     [  6+]
solu        124: Qhxg8   [  6+]
solu        125: Qgxg8   [  6+]
solu        126: Bh4     [  5+]
solu        127: Kh4     [  6+]
refu 61: Qdc7    Qfxe6   [  7-]
refu 62: Qdb8    Qxb8+   [  7-]
refu 63: Q5xe5   Qfxf3   [  7-]
solu        128: Q6xe5   [  7+]
solu        129: Qxe4    [  6+]
solu        130: Qxe6    [  7+]
refu 64: Qd5c4   Qfxe4   [  7-]
refu 65: Qdb3    Qfxe4   [  7-]
refu 66: Qda2    Qfxe4   [  7-]
refu 67: Qd5c6   Qfxe4   [  7-]
refu 68: Qb7     Qfxe4   [  7-]
refu 69: Qda8    Qxc5+   [  7-]
refu 70: Q4c4    Qb2+    [  7-]
refu 71: Qdb4    Qfxe4   [  7-]
refu 72: Qa4     Qb2+    [  7-]
refu 73: Qdd3    Qb2+    [  7-]
refu 74: Qdd2    Qb2+    [  7-]
refu 75: Qdd1    Qb2+    [  7-]
refu 76: Q4xe5   Qxe3    [  7-]
solu        131: Qxe4    [  7+]
solu        132: Qxe6    [  7+]
solu        133: Qfxf3   [  7+]
solu        134: Qfxf7   [  7+]
refu 77: Qdc3    Qfxe4   [  7-]
refu 78: Qdb2    Qxb2+   [  7-]
refu 79: Qda1    Qb2+    [  7-]
refu 80: Qcc6    Qxd5+   [  7-]
refu 81: Qcc7    Qxd5+   [  7-]
refu 82: Qcc8    Qxd5+   [  7-]
refu 83: Qcc4    Qxd5+   [  7-]
refu 84: Qcc3    Qxd5+   [  7-]
refu 85: Qcc2    Qxd5+   [  7-]
refu 86: Qcc1    Qxd5+   [  7-]
refu 87: Qcb4    Qxd5+   [  7-]
refu 88: Qca3    Qxd5+   [  7-]
refu 89: Qcb6    Qxd5+   [  7-]
refu 90: Qa7     Qxd5+   [  7-]
refu 91: Ka5     Qxd6    [  7-]
refu 92: Kb6     Qxd6+   [  7-]
refu 93: Kb4     Qxd4+   [  7-]
refu 94: Kc6     Qxd6+   [  7-]
refu 95: Ka4     Qfxe4   [  7-]
refu 96: Kc4     Qfxe4   [  7-]
refu 97: Ka6     Qxd6+   [  7-]

Cheers,
Heiner



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