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Subject: Re: King and pawn ending position for evaluation

Author: Uri Blass

Date: 04:36:54 10/28/01

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On October 28, 2001 at 06:37:59, Ferdinand S. Mosca wrote:

>
>[D]3k4/8/1p3K2/8/4P1p1/6P1/7P/8 b - - 0 91
>A position from a game (Yace 0.99.56-Crafty 18.12) in a slow P3-550mhz machine
>at 75 minutes per side with some 5 men Nalimov TB's.
>
>Crafty could have avoided this position and draws some moves back, but it
>follows in this direction. Is this not caused by the evaluate winner() function?
>BTW Bob, what are the bases that this function can tell more correctly that one
>is winning/losing/drawing in a given position? Will somebody let Crafty analyze
>this position in a faster machine?
>
>How your favorite engines react to this? The target is for black to accept that
>white is winning (this is perhaps a mate in more than 45 moves) in a reasonable
>period of time considering that we are in an ending stage.
>
>Regards,
>Dinan

Yace's opinion is mate in at most 33 moves and it means that it is mate in less
than 45 moves.

I guess that it is even shorter mate than 33 moves

New position
3k4/8/1p3K2/8/4P1p1/6P1/7P/8 b - - 0 1

Analysis by Yace 0.99.56:

1...b5
  ±  (1.16)   Depth: 1   00:00:04
1...b5 2.Ke5
  ±  (1.32)   Depth: 2   00:00:04
1...b5 2.Kf5 b4 3.Kxg4
  +-  (1.72)   Depth: 3   00:00:04
1...b5 2.Kf5 b4
  +-  (1.72)   Depth: 3   00:00:04
1...b5 2.Kf5 b4 3.Kxg4
  +-  (1.72)   Depth: 4   00:00:04
1...b5 2.Kf5 b4 3.e5 b3 4.Kxg4
  ±  (1.11)   Depth: 5   00:00:04
1...b5 2.Kf5 b4 3.Kxg4 b3 4.h4
  ±  (1.38)   Depth: 6   00:00:04  1kN
1...b5 2.Ke5 Ke7 3.Kd5 Kf6 4.e5+ Kf5
  ±  (1.24)   Depth: 7   00:00:04  5kN
1...b5 2.Ke5 Ke7 3.Kd5 Kf6 4.e5+ Kg5 5.e6
  +-  (1.68)   Depth: 8   00:00:04  8kN
1...b5 2.Kf7 b4 3.e5 b3 4.e6 Kc7 5.e7 b2 6.e8N+ Kd7
  +-  (2.16)   Depth: 8   00:00:04  8kN
1...b5 2.Kf7 b4 3.e5 b3 4.e6 Kc7 5.e7 b2 6.e8N+ Kd7
  +-  (2.16)   Depth: 9   00:00:04  34kN
1...Kd7 2.h4 gxh3 3.e5 b5 4.e6+ Kd6 5.e7 h2 6.e8Q h1Q 7.Qa8
  +-  (2.15)   Depth: 9   00:00:04  34kN
1...Kd7 2.e5 Ke8 3.Ke6 b5 4.Kd5 Ke7 5.e6 b4
  ±  (1.37)   Depth: 9   00:00:04  34kN
1...Kd7 2.e5 Ke8 3.Ke6 b5 4.Kd5 Ke7 5.Kc5 Ke6 6.h4 Kxe5 7.Kxb5
  +-  (1.82)   Depth: 10   00:00:04  59kN
1...Kd7 2.e5 Ke8 3.Ke6 b5 4.Kd5 Ke7 5.Ke4 b4 6.h4
  +-  (1.97)   Depth: 10   00:00:05  61kN
1...b5 2.Kf7 b4 3.e5 b3 4.e6 Kc7 5.e7 b2 6.e8Q b1Q 7.h3
  +-  (1.91)   Depth: 10   00:00:05  61kN
1...b5 2.Ke5 Kc7 3.Kd5 b4 4.Kc4 Kd6 5.Kxb4 Ke5 6.h4
  +-  (1.76)   Depth: 10   00:00:05  61kN
1...b5 2.Kf7 b4 3.e5 b3 4.e6 b2 5.e7+ Kc7 6.e8R b1Q 7.h4
  ±  (1.36)   Depth: 11   00:00:05  143kN
1...b5 2.Kf7 b4 3.e5 b3 4.e6 b2 5.e7+ Kc7 6.e8Q b1Q 7.Qe6 Qb4
  ±  (1.19)   Depth: 11   00:00:05  143kN
1...Kd7 2.h4 gxh3 3.e5 b5 4.e6+ Kd6 5.e7 h2 6.e8Q h1Q 7.g4
  ±  (1.18)   Depth: 11   00:00:05  143kN
1...Kd7 2.e5 Ke8 3.e6 b5 4.Ke5 b4 5.Kd4 Ke7 6.Kc4 b3
  ±  (0.91)   Depth: 11   00:00:05  143kN
1...Kd7 2.e5 Ke8 3.Ke6 Kf8 4.Kd5 Ke7 5.Kc4 Kf8 6.Kd4 b5 7.Kd3
  ±  (1.37)   Depth: 12   00:00:05  222kN
1...Kd7 2.e5 Ke8 3.Ke6 b5 4.Kd5 Ke7 5.Kc5 Kd7 6.Kb4 Kc6 7.h4
  +-  (2.05)   Depth: 12   00:00:06  263kN
1...b5 2.Ke5 Kc7 3.Kd5 Kb6 4.e5 b4 5.Kc4 Kc6 6.Kxb4 Kd5 7.h4 Kxe5 8.Kc5
  +-  (1.98)   Depth: 12   00:00:06  263kN
1...b5 2.Ke5 Kc7 3.Kd5 Kb6 4.e5 b4 5.e6 Kc7 6.Kc4 Kd6 7.h4
  +-  (1.89)   Depth: 12   00:00:06  263kN
1...b5 2.Ke5 Kc7 3.Kf6 b4 4.e5 b3 5.e6 b2 6.h4 b1Q 7.e7 Kc6 8.Ke6 Qb2 9.e8Q+ Kc5
  +-  (1.49)   Depth: 13   00:00:06  417kN
1...b5 2.Kf7 b4 3.e5 b3 4.e6 b2 5.e7+ Kc7 6.e8Q b1Q 7.Qe7+ Kb8 8.Qd6+ Kb7
  ±  (1.29)   Depth: 13   00:00:07  439kN
1...Kd7 2.Kf7 Kd6 3.h4 gxh3 4.Kf6 b5 5.e5+ Kd7 6.e6+ Kd6 7.e7 h2 8.e8Q h1Q 9.Kf7
  ±  (1.28)   Depth: 13   00:00:07  439kN
1...Kd7 2.e5 Ke8 3.Ke6 b5 4.Kd5 Kd8 5.Kc5 Kd7 6.Kb4 Kc6 7.e6 Kd6
  ±  (1.21)   Depth: 13   00:00:07  439kN
1...Kd7 2.e5 Ke8 3.Ke6 b5 4.Kd5 Kd8 5.Kc5 Kd7 6.Kb4 Ke7 7.Kxb5 Ke6 8.Kb4 Kf5
9.Kb3 Ke6 10.Ka3 Kxe5 11.Kb2 Ke4 12.h4
  +-  (1.64)   Depth: 14   00:00:07  569kN
1...Kd7 2.e5 Ke8 3.Ke6 b5 4.Kd5 b4 5.Kc4 Ke7 6.Kxb4 Kf7 7.Kc5 Kf8 8.Kb5 Ke8
9.Kb4
  +-  (2.64)   Depth: 14   00:00:07  569kN
1...Kd7 2.e5 Ke8 3.Ke6 b5 4.Kd5 b4 5.Kc4 b3 6.Kxb3 Kf7 7.Kc4 Kg6 8.Kd5 Kg5 9.e6
  +-  (3.24)   Depth: 14   00:00:08  640kN
1...Kd7 2.e5 Ke8 3.Ke6 b5 4.Kd5 b4 5.Kc4 b3 6.Kxb3 Kf7 7.Kc3 Kg6 8.Kc4 Kf7
  +-  (3.24)   Depth: 15   00:00:09  857kN
1...Kd7 2.e5 Ke8 3.Ke6 b5 4.Kd5 b4 5.Kc4 b3 6.Kxb3 Kf7 7.Kc3 Kg6 8.Kd4 Kf7 9.Ke4
Ke6 10.h4
  +-  (3.58)   Depth: 16   00:00:12  1312kN
1...Kd7 2.e5 Kc6 3.Kf7 Kc5
  +-  (4.01)   Depth: 17   00:00:13  1513kN
1...Kd7 2.e5 Ke8 3.Ke6 b5 4.Kd5 b4 5.Kc4 b3 6.Kxb3 Kf7 7.Kc3 Kg6 8.Kc4 Kf7 9.Kd5
Kg6 10.Ke4 Kf7 11.Kd5 Kg6 12.Ke4 Kf7 13.Kd5
  +-  (4.02)   Depth: 17   00:00:14  1744kN
1...b5 2.Ke5 Ke7 3.Kd5 b4 4.Kc4 b3 5.Kc3 b2 6.Kxb2 Ke6 7.h4 Ke5 8.Kc3 Ke6 9.Kd2
Ke5 10.h5 Kxe4 11.h6
  +-  (4.01)   Depth: 17   00:00:16  1961kN
1...b5 2.Ke5 Ke7 3.Kd5 b4 4.Kc4 b3 5.Kxb3 Ke6 6.Kc3 Ke5 7.Kd3 Kf6 8.Kd4 Kf7
9.Kd5 Kg8 10.e5 Kf7 11.e6+ Kg7 12.Kd6 Kf8 13.Ke5 Ke7 14.h4
  +-  (3.99)   Depth: 17   00:00:16  2149kN
1...b5 2.Ke5 Ke7 3.Kd5 b4 4.Kc4 b3 5.Kxb3 Ke6 6.Kc3 Ke5 7.Kd3 Kf6 8.Kd4 Kf7
9.Kc4 Kg8 10.Kb4 Kf7
  +-  (4.02)   Depth: 18   00:00:18  2534kN
1...b5 2.Ke5 Ke7 3.Kd5 b4 4.Kc4 b3 5.Kxb3 Ke6 6.Kc3 Ke5 7.Kd3 Kf6 8.Kd4 Kf7
9.Kd5 Kg7 10.e5 Kh7 11.Kd6 Kg7 12.e6 Kf8 13.Ke5 Ke7 14.h4
  +-  (4.03)   Depth: 19   00:00:23  3697kN
1...b5 2.Ke5 Ke7 3.Kd5 b4 4.Kc4 b3 5.Kxb3 Ke6 6.Kc3 Ke5 7.Kd3 Kf6 8.Kd4 Kf7
9.Kd5 Kg7 10.e5 Kh8 11.Ke4 Kg7 12.Kd5 Kh8 13.Ke4 Kg7 14.Kd5
  +-  (4.03)   Depth: 20   00:00:31  5426kN
1...b5 2.Ke5 Ke7 3.Kd5 Kf6 4.e5+ Kf5 5.e6 b4 6.e7 b3 7.e8Q Kf6
  +-  (4.43)   Depth: 21   00:00:34  6437kN
1...b5 2.Ke5 Ke7 3.Kd5 b4 4.Kc4 b3 5.Kxb3 Ke6 6.Kb4 Ke5 7.Kc5 Ke6 8.Kc6 Kf7
  +-  (5.44)   Depth: 21   00:00:34  6437kN
1...b5 2.Ke5 Kc7 3.Kd5 Kb6 4.e5 Ka5 5.e6 b4 6.e7 b3
  +-  (10.45)   Depth: 21   00:00:35  6629kN
1...b5 2.Ke5 Ke7 3.Kd5 Kf6 4.e5+ Kf5 5.e6 Kf6 6.Kd6 b4 7.e7 b3 8.e8Q b2 9.Qb5
b1Q 10.Qxb1 Kg7 11.Qf5 Kg8 12.Qxg4+ Kf7 13.Kd5
  +-  (12.85)   Depth: 21   00:02:07  46375kN
1...b5 2.Ke5 Ke7 3.Kd5 Kf6 4.e5+ Kf5 5.e6 Kf6 6.Kd6 b4 7.e7 Kf7 8.Kd7 b3 9.e8Q+
Kg7 10.Kd6 b2 11.Qb5 Kf6 12.Qxb2+ Kf5 13.Qg7 Ke4 14.Qxg4+ Kd3
  +-  (13.22)   Depth: 22   00:04:39  78769kN
1...b5 2.Ke5 Ke7 3.Kd5 b4 4.Kc4 b3 5.Kxb3 Ke6 6.Kc3 Kd6
  +-  (13.62)   Depth: 23   00:05:48  90657kN
1...b5 2.Ke5 Kc7 3.Kd5 Kd7 4.Kc5 Ke6 5.Kxb5 Ke5 6.Kc6 Kd4 7.e5 Ke3 8.e6 Kf2 9.e7
Kg1
  +-  (14.62)   Depth: 23   00:05:54  91050kN
1...b5 2.Ke5 Kc7 3.Kd5 b4 4.Kc4 b3 5.Kxb3 Kd6 6.Kb4 Ke5 7.Kc5 Ke6 8.Kd4 Kf7 9.e5
Ke7 10.Kc4 Kd8 11.Kb4 Ke8 12.Kc4 Kf8 13.e6 Ke7 14.Kd4 Kf8 15.Ke4 Ke7 16.Ke5 Kf8
  +-  (#51)   Depth: 23   00:05:54  91050kN
1...b5 2.Ke5 Kc7 3.Kd5 b4 4.Kc4 b3 5.Kxb3 Kd6 6.Kc3 Ke6 7.Kd4 Kf7 8.e5 Ke6 9.Kc4
Kf7 10.e6+ Ke7 11.Kb5 Kf6 12.e7 Kg6 13.e8Q+ Kf5 14.Kb4
  +-  (#38)   Depth: 23   00:06:58  104855kN
1...b5 2.Ke5 Kc7 3.Kd5 b4 4.Kc4 Kd6 5.Kxb4 Ke5 6.Kc5 Ke6 7.Kd4 Kf7 8.e5 Ke6
9.Kc4
  +-  (#38)   Depth: 24   00:11:11  162904kN
1...b5 2.Ke5 Kc7 3.Kd5 b4 4.Kc4 Kd6 5.Kxb4 Ke5 6.Kc5 Ke6 7.Kd4 Kf7 8.e5 Ke6
9.Kd3 Kd7 10.e6+ Ke7 11.Ke4 Kd8 12.e7+ Kc7 13.e8Q
  +-  (#33)   Depth: 25   00:16:45  221102kN
1...b5 2.Ke5 Kc7 3.Kd5 b4 4.Kc4 Kd6 5.Kxb4 Ke5 6.Kc5 Ke6 7.Kd4 Kf7 8.e5 Ke6
9.Kd3 Kd7 10.e6+ Ke7 11.Ke4 Kd8 12.e7+ Kc7 13.e8Q Kb7 14.Kd3 Ka6 15.Qb8 Ka5
  +-  (#33)   Depth: 25   00:19:08  267583kN

(Blass, Tel-aviv 28.10.2001)

I believe that 6...Kxe4 in the main line when tablebase say Kd6 mate in 22 is a
better move.

Yace agree that it is at least not worse and see mate in at most 22 after
6...Ke6

It means that the original position is probably something like mate in 28 and I
guess that yace can find the shortest mate from the root position if I give it
some hours.

Uri



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