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Subject: Re: Mate in 6 ....Problem

Author: David Rasmussen

Date: 12:21:25 02/16/03

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On February 16, 2003 at 07:20:14, Art Basham wrote:

>This one is a real gem!
>AS far as I know,
>
>1. Kf8 is the only move that leads to a mate in 6...!
>
>[D]6K1/6B1/3pNNk1/8/4P3/8/8/8 w - - 0 1
>
>My Fritz 7 finds it for awhiile ..but then changes to Bh8...
>
>I wonder if there is a program that finds Kf8 and stays there
>long enough to force the mate in 6....:-)
>

Chezzz w/o EGTBs:

time         nodes depth    score  pv
00:00:00.02    4n  01/00/02 +9.960 1. Nd4 (4)
00:00:00.02   19n  01/01/02 +10.035 1. Ng4 (19)
00:00:00.02   21n  01/01/02 +10.243 1. Nd5!
00:00:00.02   22n  01/00/01 +10.285 1. Nd5 (22)
00:00:00.04   40n  01/01/01 ---------------------------------------------------
00:00:00.04   49n  02/01/02 +10.185 1. Nd5 Kh5 (49)
00:00:00.04  158n  02/03/04 +10.618 1. Ne8!
00:00:00.05  170n  02/01/03 +11.035 1. Ne8 Kh5 2. Nxd6 (170)
00:00:00.05  224n  02/01/03 +11.680 1. Kf8 d5 2. Nxd5 (224)
00:00:00.05  224n  02/01/03 ---------------------------------------------------
00:00:00.05  261n  03/03/05 +11.680 1. Kf8 d5 2. Nxd5 (261)
00:00:00.07  930n  03/05/06 ---------------------------------------------------
00:00:00.07 1026n  04/05/07 +11.580 1. Kf8 d5 2. Nxd5 Kh5 (1026)
00:00:00.08 3722n  04/07/08 ---------------------------------------------------
00:00:00.10 4452n  05/09/10 +11.730 1. Kf8 d5 2. exd5 Kf5
                                   3. Ke7 (4452)
00:00:00.13   18kn 05/09/10 ---------------------------------------------------
00:00:00.13   20kn 06/11/12 +11.630 1. Kf8 d5 2. exd5 Kf5
                                   3. Ke7 Ke5 (20641)
00:00:00.21   71kn 06/11/13 ---------------------------------------------------
00:00:00.22   86kn 07/13/14 +11.830 1. Kf8 d5 2. Nxd5 Kh5
                                   3. Ke7 Kg4 4. Kd6 (86168)
00:00:00.49  286kn 07/13/15 ---------------------------------------------------
00:00:00.49  292kn 08/11/12 +12.163 1. Kf8!
00:00:00.55  336kn 08/13/14 +17.140 1. Kf8 d5 2. exd5 Kf5
                                   3. d6 Kxe6 4. d7 Ke5
                                   5. d8=Q (336123)
00:00:01.38  988kn 08/16/17 ---------------------------------------------------
00:00:01.69 1238kn 09/17/18 +17.140 1. Kf8 d5 2. exd5 Kf5
                                   3. d6 Kxe6 4. d7 Ke5
                                   5. d8=Q (1238353)
00:00:03.77 2985kn 09/19/20 +17.473 1. Bh8!
00:00:03.85 3056kn 09/15/16 +20.320 1. Bh8 d5 2. Nf8+ Kg5
                                   3. exd5 Kf4 4. d6 Ke5
                                   5. d7 Kd4 6. d8=Q+ (3056473)
00:00:04.30 3426kn 09/15/16 ---------------------------------------------------
00:00:04.97 3984kn 10/20/21 +20.440 1. Bh8 d5 2. Nf8+ Kg5
                                   3. exd5 Kf4 4. d6 Ke5
                                   5. d7 Kd4 6. d8=Q+ Ke5 (3984296)
00:00:10.24 8425kn 10/20/21 +20.560 1. Kf8 d5 2. exd5 Kf5
                                   3. Ke7 Ke5 4. d6 Kf5
                                   5. d7 Ke5 6. d8=Q (8425766)
00:00:13.25   10Mn 10/20/21 ---------------------------------------------------
00:00:13.32   11Mn 11/15/16 +20.893 1. Kf8!
00:00:16.75   13Mn 11/21/22 +MAT11 1. Kf8 d5 2. exd5 Kf5
                                   3. Kf7 Ke5 4. Kg6 Kd6
                                   5. Bh6 Ke5 6. Bf4# (13929260)
00:00:39.35   32Mn 11/24/25 ---------------------------------------------------

Chezzz with EGTBs take much longer (1:33), because it takes much longer to reach
depth 11. I guess this is one case where EGTBs doesn't help. I imagine that
there are many such positions. On the other hand, white will win either way in
this position, so it's really just a question of being able to find "the
shortest mate". Something that isn't always necesary for chess playing engines.

/David



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