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Subject: Re: Can any computer program figure this out? So far none ever have.(FEN)

Author: Victor Valenzia

Date: 14:04:37 04/16/00

Go up one level in this thread


On April 16, 2000 at 13:35:44, James Swinney wrote:

>Here is a brilliant little problem that a friend of mine came up over 10 years
>ago that we have tried on countless chess progams and none have ever figured
>this out. I tried it on Fritz 5.32 with 64 meg hash tables overnight and it blew
>up at the 41st ply !!
>Here is the FEN
>6bn/2k2prq/5prp/5pbn/5p1p/1Kp2PpP/2P3P1/8 w - - 0 1
>
>The problem is white only sees that he is down tons of material and is quite
>content to find a draw by perpetual check after queening his pawn. While a human
>would see that all of blacks pieces are useless and play it out as a won king
>and pawn ending.
>Please try this and see what results you get.
>James

On a Pentium III 500 Mhz, Fritz 6a appears to recognize the locked position for
black after 3 seconds, and sees an eventual win for white after 39 seconds.

New position
6bn/2k2prq/5prp/5pbn/5p1p/1Kp2PpP/2P3P1/8 w - - 0 1

Analysis by Fritz 6:

1.Kxc3
  -+  (-33.00)   Depth: 1/1   00:00:00
1.Kxc3
  -+  (-32.53)   Depth: 1/2   00:00:00
1.Kxc3 Kd6
  -+  (-32.53)   Depth: 2/3   00:00:00
1.Kxc3 Kd6 2.Kd4
  -+  (-32.44)   Depth: 3/4   00:00:00
1.Kxc3 Kd6 2.Kd4 Ke6
  -+  (-32.37)   Depth: 4/5   00:00:00
1.Kxc3 Kd6 2.Kd4 Kd7 3.c4
  -+  (-32.22)   Depth: 5/7   00:00:00
1.Kxc3 Kd6 2.Kd4 Kd7 3.c4 Kc7
  -+  (-32.16)   Depth: 6/8   00:00:00
1.Kxc3 Kd6 2.Kd4 Kd7 3.c4 Kc6 4.c5
  -+  (-32.09)   Depth: 7/9   00:00:00
1.Kxc3 Kd6 2.Kd4 Kd7 3.c4 Kc7 4.c5 Kc6
  -+  (-32.03)   Depth: 8/11   00:00:00  1kN
1.Kxc3 Kd6 2.Kd4 Kd7 3.c4 Kc7 4.c5 Kc6
  -+  (-32.03)   Depth: 9/10   00:00:00  1kN
1.Kxc3 Kd6 2.Kd4 Kd7 3.c4 Kc7 4.c5 Kc6
  -+  (-32.03)   Depth: 10/11   00:00:00  2kN
1.Kxc3 Kd6 2.Kd4 Kd7 3.c4 Kc7 4.c5 Kc6 5.Kc4 Kc7
  -+  (-31.97)   Depth: 11/13   00:00:00  3kN
1.Kxc3 Kd6 2.Kd4 Kd7 3.c4 Kc7 4.c5 Kc6 5.Kc4 Kd7
  -+  (-31.97)   Depth: 12/15   00:00:00  5kN
1.Kxc3 Kd6 2.Kd4 Kd7 3.c4 Kc7 4.c5 Kc6 5.Kc4 Kd7
  -+  (-31.78)   Depth: 13/16   00:00:00  7kN
1.Kxc3 Kd6 2.Kd4 Kd7 3.c4 Kc7 4.c5 Kc6 5.Kc4 Kd7
  -+  (-31.69)   Depth: 14/16   00:00:00  10kN
1.Kxc3 Kd6 2.Kd4 Kd7 3.c4 Kc7 4.c5 Kc6 5.Kc4 Kd7
  -+  (-31.69)   Depth: 15/17   00:00:00  13kN
1.Kxc3!
  -+  (-31.37)   Depth: 16/16   00:00:00  15kN
1.Kxc3!
  -+  (-31.06)   Depth: 17/17   00:00:00  20kN
1.Kxc3--
  -+  (-31.37)   Depth: 18/18   00:00:00  30kN
1.Kxc3
  -+  (-31.37)   Depth: 18/18   00:00:00  30kN
1.Kc4
  -+  (-31.22)   Depth: 18/18   00:00:00  31kN
1.Kc4!
  -+  (-30.84)   Depth: 19/19   00:00:00  38kN
1.Kc4 Kd6
  -+  (-30.81)   Depth: 19/19   00:00:00  39kN
1.Kc4 Kd6 2.Kxc3 Kc5 3.Kd3 Kd5 4.Kc3 Ke6 5.Kd4 Kd7
  -+  (-30.81)   Depth: 20/20   00:00:00  45kN
1.Kc4--
  -+  (-31.16)   Depth: 21/23   00:00:00  53kN
1.Kc4
  -+  (-31.16)   Depth: 21/23   00:00:00  54kN
1.Kb4
  -+  (-31.06)   Depth: 21/23   00:00:00  55kN
1.Kxc3
  -+  (-31.03)   Depth: 21/29   00:00:00  99kN
1.Kxc3 Kb7 2.Kd4 Kc6 3.c4 Kd6 4.c5+ Kc6 5.Kc4 Kd7
  -+  (-24.81)   Depth: 21/31   00:00:00  174kN
1.Kxc3 Kb7 2.Kd4 Kc6 3.c4 Kd6 4.c5+ Kc6 5.Kc4 Kd7
  -+  (-24.81)   Depth: 22/24   00:00:00  183kN
1.Kxc3--
  -+  (-25.12)   Depth: 23/36   00:00:00  259kN
1.Kxc3
  -+  (-25.12)   Depth: 23/36   00:00:00  266kN
1.Kxc3!
  -+  (-24.81)   Depth: 24/24   00:00:01  267kN
1.Kxc3!
  -+  (-24.50)   Depth: 25/31   00:00:01  281kN
1.Kxc3 Kb7 2.Kc4 Kc6 3.Kd4 Kb5 4.c4+ Ka5 5.c5 Kb5
  -+  (-22.34)   Depth: 25/37   00:00:01  512kN
1.Kxc3 Kb7 2.Kc4 Kc6 3.Kd4
  -+  (-22.34)   Depth: 26/37   00:00:01  601kN
1.Kxc3!
  -+  (-22.03)   Depth: 27/35   00:00:01  650kN
1.Kxc3 Kb7 2.Kd4 Kc6 3.c3 Kd6 4.c4 Ke6 5.c5 Kd7
  -+  (-22.31)   Depth: 28/40   00:00:02  873kN
1.Kxc3 Kb7 2.Kd4 Kc6 3.c3 Kd6 4.c4 Kd7 5.Kd5 Kc7
  -+  (-22.31)   Depth: 29/41   00:00:02  1140kN
1.Kxc3!
  -+  (-22.00)   Depth: 30/35   00:00:03  1309kN
1.Kxc3!
  -+  (-21.69)   Depth: 31/38   00:00:03  1707kN
1.Kxc3! Kb7 2.Kd4 Ka6 3.c4 Kb6 4.Kd5 Ka5 5.c5 Kb4
  =  (0.00)   Depth: 31/42   00:00:04  2129kN
1.Kxc3 Kb7 2.Kd4 Ka6 3.c4 Kb6 4.Kd5 Ka5 5.c5 Kb4
  =  (0.00)   Depth: 32/45   00:00:08  4189kN
1.Kxc3 Kb7 2.Kd4 Ka6 3.c4 Kb6 4.Kd5 Ka5 5.c5 Kb4
  =  (0.00)   Depth: 33/45   00:00:11  5994kN
1.Kxc3 Kb7 2.Kd4 Ka6 3.c4 Kb6 4.Kd5 Ka5 5.c5 Kb4
  =  (0.00)   Depth: 34/53   00:00:18  10025kN
1.Kxc3 Kb7 2.Kd4 Ka6 3.c4 Kb6 4.Kd5 Ka5 5.c5 Kb4
  =  (0.00)   Depth: 35/55   00:00:35  20541kN
1.Kxc3!
  +-  (#100)   Depth: 36/49   00:00:39  23210kN

(Las Vegas 16.04.2000)




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