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Subject: Re: Revisiting WCSAC #398

Author: Uri Blass

Date: 11:13:36 08/22/03

Go up one level in this thread


On August 22, 2003 at 12:52:23, Tord Romstad wrote:

>On August 22, 2003 at 12:12:42, Uri Blass wrote:
>
>>On August 22, 2003 at 11:56:42, Tord Romstad wrote:
>>
>>>50 million nodes is a lot.  I think most modern programs (even weak ones)
>>>should solve this a lot faster, and I'm sure Spector would too if you
>>>had continued developing it.
>>
>>I think that you overestimate other programs.
>>I believe that a lot of programs need more than 50M nodes
>
>Perhaps.  But so far, Shredder is the only example we have seen.

I can show you easily more examples of engines that need more than 50M nodes
and about half of the engines that I try need more than 50M nodes(I tried only
engines that I consider as not weak engines).


Comet:more than 50M nodes to see the mate

New game
2qrr1n1/3b1kp1/2pBpn1p/1p2PP2/p2P4/1BP5/P3Q1PP/4RRK1 w - - 0 1

Analysis by Comet B60:

1.fxe6+ Bxe6
  ²  (0.63)   Depth: 1/9   00:00:00
1.fxe6+ Bxe6
  ²  (0.63)   Depth: 1/9   00:00:00
1.fxe6+ Bxe6 2.Bc2
  ²  (0.63)   Depth: 2/17   00:00:00
1.fxe6+ Bxe6 2.Bc2 g6 3.Be4
  ²  (0.70)   Depth: 3/18   00:00:00
1.exf6 axb3 2.Qh5+ Kxf6 3.Rxe6+ Bxe6 4.fxe6+ Kxe6
  ±  (1.23)   Depth: 3/18   00:00:00
1.exf6 Nxf6 2.Bc2 exf5
  ±  (1.35)   Depth: 3/18   00:00:00
1.exf6 Nxf6 2.fxe6+ Bxe6 3.Bxe6+ Qxe6 4.Be5
  +-  (1.59)   Depth: 4/18   00:00:00
1.exf6 Nxf6 2.fxe6+ Bxe6 3.c4
  ±  (1.23)   Depth: 5/23   00:00:00  160kN
1.exf6 Nxf6 2.fxe6+ Rxe6 3.Bxe6+ Bxe6 4.Rxf6+ Ke8
  ±  (1.23)   Depth: 5/23   00:00:01  299kN
1.exf6 Nxf6 2.fxe6+ Rxe6 3.Bxe6+ Kg6
  +-  (1.58)   Depth: 6/23   00:00:01  301kN
1.exf6 Nxf6 2.fxe6+ Bxe6 3.Qxe6+ Qxe6 4.Bxa4
  +-  (1.58)   Depth: 6/29   00:00:01  464kN
1.exf6 Nxf6 2.fxe6+ Bxe6 3.Qxe6+ Qxe6 4.Bxe6+ Rxe6 5.c4
  ±  (1.22)   Depth: 7/36   00:00:04  1201kN
1.exf6 Nxf6 2.Bc2 exf5 3.Be7 Ng8
  ±  (1.16)   Depth: 7/36   00:00:08  2366kN
1.exf6 Nxf6 2.fxe6+ Bxe6 3.Bxe6+ Rxe6 4.Qxe6+ Kg6
  +-  (1.51)   Depth: 8/36   00:00:11  3419kN
1.exf6 Nxf6 2.fxe6+ Bxe6 3.Bxe6+ Qxe6 4.Qxe6+ Rxe6 5.Rxf6+ gxf6 6.c4
  +-  (1.51)   Depth: 8/36   00:00:15  4422kN
1.exf6 Nxf6 2.fxe6+ Bxe6 3.Bxe6+ Rxe6 4.Qxe6+ Qxe6 5.Rxe6 Kxe6 6.c4
  ±  (1.15)   Depth: 9/36   00:00:33  10427kN
1.Qh5+ Nxh5 2.fxe6+ Kg6 3.Bc2+ Kg5 4.Rf5+ Kg6 5.Rf6+ Kg5 6.Rg6+ Kh4 7.Re4+ Nf4
8.Rxf4+ Kh5 9.Rxg7 Qb8 10.Bxb8 Rxe6
  +-  (1.86)   Depth: 9/38   00:00:55  17605kN
1.Qh5+ Nxh5 2.fxe6+ Kg6 3.Bc2+ Kg5 4.Rf5+ Kg6 5.Rf6+ Kg5 6.Rg6+ Kh4 7.Re4+ Nf4
8.Rxf4+ Kh5 9.Rxg7 Qc7 10.Bxc7 Bxe6
  +-  (2.57)   Depth: 9/39   00:00:56  18358kN
1.Qh5+ Nxh5 2.fxe6+ Kg6 3.Bc2+ Kg5 4.Rf5+ Kg6 5.Rf6+ Kg5 6.Rg6+ Kh4 7.Re4+ Nf4
8.Rxf4+ Kh5 9.Rxg7 Qc7 10.Bxc7 Bxe6
  +-  (3.28)   Depth: 9/39   00:00:58  19290kN
1.Qh5+ Nxh5 2.fxe6+ Kg6 3.Bc2+ Kg5 4.Rf5+ Kg6 5.Rf6+ Kg5 6.Rg6+ Kh4 7.Re4+ Nf4
8.Rxf4+ Kh5 9.Rxg7 Qc7 10.Bxc7 Bxe6
  +-  (3.99)   Depth: 9/39   00:00:59  20089kN
1.Qh5+ Nxh5 2.fxe6+ Kg6 3.Bc2+ Kg5 4.Rf5+ Kg6 5.Rf6+ Kg5 6.Rg6+ Kh4 7.Re4+ Nf4
8.Rxf4+ Kh5 9.Rxg7 Re7 10.Bxe7 Nf6 11.exd7 Qb7
  +-  (4.70)   Depth: 9/39   00:01:07  24208kN
1.Qh5+ Nxh5 2.fxe6+ Kg6 3.Bc2+ Kg5 4.Rf5+ Kg6 5.Rf6+ Kg5 6.Rg6+ Kf4 7.exd7 Rxe5
8.dxc8Q Rxd6
  +-  (6.41)   Depth: 9/39   00:01:17  29405kN
1.Qh5+ Nxh5 2.fxe6+ Kg6 3.Bc2+ Kg5 4.Rf5+ Kg6 5.Rf6+ Kg5 6.Rg6+ Kh4 7.Re4+ Nf4
8.Rxf4+ Kh5 9.g3 b4 10.exd7 Qc7 11.Bxc7 Rf8
  +-  (9.12)   Depth: 9/39   00:01:30  35964kN
1.Qh5+ Nxh5 2.fxe6+ Kg6 3.Bc2+ Kg5 4.Rf5+ Kg6 5.Rf6+ Kg5 6.Rg6+ Kf4 7.exd7 Rxe5
8.dxc8Q Rd7
  +-  (12.83)   Depth: 9/39   00:01:39  41007kN
1.Qh5+ Nxh5 2.fxe6+ Kg6 3.Bc2+ Kg5 4.Rf5+ Kg6 5.Rf6+ Kg5 6.Rg6+ Kf4 7.exd7 Re7
8.dxc8Q Rdd7
  +-  (17.54)   Depth: 9/39   00:01:49  47392kN
1.Qh5+ Nxh5 2.fxe6+ Kg6 3.Bc2+ Kg5 4.Rf5+ Kh4 5.Be7+ Kg4 6.h3+ Kg3 7.exd7 b4
8.dxc8Q Rd5 9.Qxe8 bxc3 10.Rxh5 Nxe7 11.Qxe7 Rxd4 12.Qxg7+
  +-  (23.25)   Depth: 9/39   00:02:00  54003kN
1.Qh5+ Nxh5 2.fxe6+ Kg6 3.Bc2+ Kg5 4.Rf5+ Kh4 5.Be7+ g5 6.Re4+ Nf4 7.Rfxf4+ Kh5
8.Rh4+ Kg6 9.Ref4+ Kg7 10.Rf7+ Kh8 11.Bxg5 Rf8 12.Rxh6+ Nxh6 13.Bf6+ Kg8 14.Rg7+
Kh8 15.Rh7+ Kg8 16.Rh8#
  +-  (#15)   Depth: 9/39   00:02:10  60560kN

(Blass, Tel-Aviv 22.08.2003)

Crafty needs more than 50M nodes

New game
2qrr1n1/3b1kp1/2pBpn1p/1p2PP2/p2P4/1BP5/P3Q1PP/4RRK1 w - - 0 1

Analysis by Crafty 19.01:

1.Bxa4 bxa4 2.exf6 exf5
  µ  (-1.17)   Depth: 1/17   00:00:00
1.Bxa4 bxa4 2.exf6 exf5
  µ  (-1.17)   Depth: 2/17   00:00:00
1.fxe6+
  µ  (-0.77)   Depth: 2/17   00:00:00
1.fxe6+ Bxe6 2.Qh5+ g6
  µ  (-0.77)   Depth: 2/17   00:00:00
1.fxe6+ Bxe6 2.exf6 Rxd6
  -+  (-1.75)   Depth: 3/17   00:00:00
1.Bxa4 bxa4 2.exf6 exf5
  µ  (-1.17)   Depth: 3/17   00:00:00
1.exf6
  ³  (-0.37)   Depth: 3/17   00:00:00
1.exf6 axb3 2.Qh5+ Kxf6 3.fxe6#
  =  (-0.02)   Depth: 3/17   00:00:00
1.exf6 axb3 2.Qh5+ Kxf6 3.fxe6#
  =  (-0.02)   Depth: 4/17   00:00:00
1.exf6 axb3 2.Qh5+ Kxf6 3.fxe6#
  ²  (0.38)   Depth: 5/18   00:00:00
1.exf6 Nxf6 2.Bxe6+ Bxe6 3.fxe6+ Qxe6 4.Be5
  ±  (1.14)   Depth: 5/18   00:00:00
1.exf6 Nxf6 2.Bxe6+ Bxe6 3.fxe6+ Rxe6 4.Qh5+ Kg8
  ±  (0.74)   Depth: 6/19   00:00:00  72kN
1.exf6 Nxf6 2.Bxe6+ Bxe6 3.fxe6+ Rxe6 4.Be5 Kg8 5.Qf2
  ±  (0.73)   Depth: 7/20   00:00:01  222kN
1.exf6 Nxf6 2.fxe6+ Bxe6 3.Bxe6+ Rxe6 4.Be5 Kg8 5.Qf2 Rf8 6.Re3
  ²  (0.61)   Depth: 8/24   00:00:03  704kN
1.exf6 Nxf6 2.Bc2 exf5 3.Qf3 Be6 4.Qf4 Kg8 5.Re3
  ²  (0.54)   Depth: 9/24   00:00:06  1903kN
1.exf6 Nxf6 2.Bxe6+ Bxe6 3.fxe6+ Rxe6
  ²  (0.46)   Depth: 10/28   00:00:19  7516kN
1.exf6 Nxf6 2.Bxe6+ Bxe6 3.fxe6+ Rxe6 4.Be5 Kg8 5.Rf4 Rde8 6.Qf2 Nd7
  ²  (0.43)   Depth: 11/29   00:00:52  24004kN
1.exf6 Nxf6 2.Bxe6+ Bxe6 3.fxe6+ Rxe6 4.Be5 Kg8 5.Rf4 Rde8 6.Qf2 Nd7
  ±  (0.83)   Depth: 12/34   00:02:23  69657kN

(Blass, Tel-Aviv 22.08.2003)

Sjeng12.13 needs more than 50M nodes

New game
2qrr1n1/3b1kp1/2pBpn1p/1p2PP2/p2P4/1BP5/P3Q1PP/4RRK1 w - - 0 1

Analysis by Sjeng 12.13:

1.exf6 axb3
  =  (0.11)   Depth: 2   00:00:00
1.exf6
  ²  (0.61)   Depth: 3/17   00:00:00
1.exf6
  ²  (0.60)   Depth: 3/17   00:00:00
1.exf6 axb3 2.Qh5+ Kxf6 3.fxe6#
  ±  (1.13)   Depth: 3/17   00:00:00
1.exf6 axb3 2.Qh5+ Kxf6 3.fxe6#
  ±  (1.13)   Depth: 3/17   00:00:00
1.exf6 Nxf6 2.Bc2 Kg8 3.fxe6 Bxe6
  ±  (1.33)   Depth: 4/17   00:00:00
1.exf6 Nxf6 2.Bc2 Kg8 3.fxe6 Bxe6
  ±  (1.33)   Depth: 4/17   00:00:00
1.exf6
  ±  (0.83)   Depth: 5/22   00:00:01
1.exf6 Nxf6 2.fxe6+ Bxe6 3.Bxe6+ Rxe6 4.Be5 Kg8 5.Rf5 Rde8
  ²  (0.37)   Depth: 5/26   00:00:02
1.fxe6+ Bxe6 2.Bc2 Rxd6 3.exd6 Bc4 4.Qh5+ Kf8 5.d7 Qxd7
  ²  (0.54)   Depth: 5/26   00:00:04
1.fxe6+ Bxe6 2.Bc2 Rxd6 3.exd6 Bc4 4.Qh5+ Kf8 5.d7 Qxd7
  ²  (0.54)   Depth: 5/26   00:00:04
1.fxe6+ Bxe6 2.Bc2 Rxd6 3.exd6 Bc4 4.Qh5+ Kf8 5.Rxe8+ Qxe8 6.Qc5 Qe3+ 7.Rf2 Qxc3
8.Qxc6 Qxd4
  ²  (0.66)   Depth: 6/26   00:00:08  3023kN
1.fxe6+ Bxe6 2.Bc2 Rxd6 3.exd6 Bc4 4.Qh5+ Kf8 5.Rxe8+ Qxe8 6.Qc5 Qe3+ 7.Rf2 Qxc3
8.Qxc6 Qxd4
  ²  (0.66)   Depth: 6/28   00:00:11  4433kN
1.fxe6+ Bxe6 2.Bc2 g6 3.Bc5 Bf5 4.c4 Qa6 5.cxb5 Qxb5
  ±  (0.84)   Depth: 7/28   00:00:24  10232kN
1.fxe6+ Bxe6 2.Bc2 g6 3.Bc5 Bf5 4.c4 Qa6 5.cxb5 Qxb5
  ±  (0.84)   Depth: 7/31   00:00:37  16056kN
1.fxe6+ Bxe6 2.Bc2 g6 3.Bc5 Bf5 4.Bxf5 gxf5 5.Qc2 Nd5 6.Rxf5+ Ke6
  ±  (0.74)   Depth: 8/31   00:01:17  33511kN
1.exf6
  ±  (1.34)   Depth: 8/33   00:01:44  46050kN
1.exf6
  ±  (1.33)   Depth: 8/33   00:01:55  52158kN

(Blass, Tel-Aviv 22.08.2003)

Junior7 needs more than 50M nodes

New game
2qrr1n1/3b1kp1/2pBpn1p/1p2PP2/p2P4/1BP5/P3Q1PP/4RRK1 w - - 0 1

Analysis by Junior 7:

1.Bxa4 bxa4 2.exf6 Nxf6
  =  (-0.20)   Depth: 3   00:00:00
1.exf6 Nxf6 2.fxe6+ Bxe6 3.Qh5+ Kg8
  ±  (1.26)   Depth: 3   00:00:00  3kN
1.exf6 Nxf6 2.fxe6+ Bxe6 3.Bxe6+ Rxe6 4.Be5 Kg8
  ±  (0.99)   Depth: 6   00:00:00  15kN
1.exf6 Nxf6 2.fxe6+ Bxe6 3.Qh5+ Kg8 4.Rxe6 Rxe6 5.Rxf6 axb3
  ²  (0.40)   Depth: 9   00:00:00  255kN
1.fxe6+ Bxe6 2.Qh5+ g6 3.Rxf6+ Nxf6 4.Qf3 axb3 5.Qxf6+ Kg8 6.Qxg6+ Kh8 7.Qxh6+
Kg8 8.Qg6+ Kh8 9.axb3
  ²  (0.59)   Depth: 9   00:00:01  657kN
1.fxe6+!
  ±  (0.89)   Depth: 12   00:00:03  2537kN
1.fxe6+ Bxe6 2.exf6 gxf6 3.Qh5+ Kg7 4.Bxe6 Rxe6 5.Qg4+ Kf7 6.Rxe6 Qxe6 7.Qxe6+
Kxe6 8.Bc5 Kd7
  ±  (1.31)   Depth: 12   00:00:09  7298kN
1.fxe6+ Bxe6 2.exf6 gxf6 3.Bxe6+ Rxe6 4.Qh5+ Kg7 5.Qg4+ Kf7 6.Bc5 Rxe1 7.Qh5+
Kg7 8.Rxe1
  ±  (1.28)   Depth: 14   00:00:42  30857kN
1.exf6!
  +-  (1.61)   Depth: 14   00:00:46  33739kN
1.exf6 Nxf6 2.fxe6+ Bxe6 3.Qh5+ Kg8 4.Rxf6 Bxb3 5.Be7 Rf8 6.Rxf8+ Rxf8 7.axb3
Rf5 8.Qd1 a3
  +-  (2.72)   Depth: 14   00:01:04  46648kN
1.Qh5+!
  +-  (2.73)   Depth: 14   00:01:10  50055kN
1.Qh5+ Nxh5 2.fxe6+ Kg6 3.Bc2+ Kg5 4.Rf5+ Kg6 5.Rf6+ Kg5 6.Rg6+ Kh4 7.Re4+ Nf4
8.Rxf4+ Kh5 9.g3 Bxe6 10.Rh4#
  +-  (#10)   Depth: 14   00:01:14  52619kN
1.Qh5+ Nxh5 2.fxe6+ Kg6 3.Bc2+ Kg5 4.Rf5+ Kg6 5.Rf6+ Kg5 6.Rg6+ Kh4 7.Re4+ Nf4
8.Rxf4+ Kh5 9.g3 Bxe6 10.Rh4#
  +-  (#10)   Depth: 14   00:01:16  53356kN

(Blass, Tel-Aviv 22.08.2003)

>
>I still think the majority of modern programs should find this in
>5M nodes or less, but I could be wrong.  My own program is not very
>good at finding mates (nor any other type of tactics), and I would
>expect most other programs to be faster.
>
>>Maybe you do not use enough pruning so you can solve it fast.
>
>I never prune checks; this seems too dangerous.
>
>Perhaps Shredder is using an asymmetric search, and prunes some checking
>moves at even plies when it considers itself to have a winning advantage?
>What happens if you make the move Qh5+ and let Shredder analyse the
>position?  I don't have Shredder, but my guess is that it will find
>the mate very quickly if you first execute the right first move.

In this case it needs depth 11 to see the mate
New game
2qrr1n1/3b1kp1/2pBpn1p/1p2PP1Q/p2P4/1BP5/P5PP/4RRK1 b - - 0 1

Analysis by Shredder 7.04:

1...Nxh5 2.fxe6+ Kg6 3.Bc2+ Kg5 4.Rf5+ Kg4 5.Rf4+ Nxf4 6.h3+ Nxh3+ 7.gxh3+ Kxh3
  ±  (1.20)   Depth: 1/1   00:00:00
1...Nxh5 2.fxe6+ Kg6 3.Bc2+ Kg5 4.Rf5+ Kg4 5.Rf4+ Nxf4 6.h3+ Nxh3+ 7.gxh3+ Kxh3
  ²  (0.70)   Depth: 1/13   00:00:00
1...Nxh5 2.fxe6+ Kg6 3.exd7 Qxd7
  -+  (-7.09)   Depth: 1/13   00:00:00
1...Nxh5 2.fxe6+ Kg6 3.exd7 Qxd7
  -+  (-7.09)   Depth: 2/13   00:00:00
1...Nxh5 2.fxe6+ Kg6 3.exd7 Qxd7
  -+  (-7.09)   Depth: 3/13   00:00:00
1...Nxh5 2.fxe6+ Kg6 3.exd7 Qxd7
  -+  (-7.09)   Depth: 4/13   00:00:00
1...Nxh5 2.fxe6+ Kg6 3.Bc2+ Kg5 4.Rf5+ Kh4 5.exd7 Qxd7
  -+  (-6.78)   Depth: 5/15   00:00:00
1...Nxh5 2.fxe6+ Kg6 3.Bc2+ Kg5 4.Rf5+ Kh4 5.Re4+ Nf4 6.Rfxf4+ Kh5
  -+  (-5.33)   Depth: 5/16   00:00:00
1...Nxh5 2.fxe6+ Kg6 3.Bc2+ Kg5 4.Be7+ Nxe7 5.Rf5+ Nxf5 6.h4+ Kxh4
  -+  (-5.33)   Depth: 5/17   00:00:00
1...Nxh5 2.fxe6+ Kg6 3.Bc2+ Kg5 4.Rf5+ Kg4 5.h3+ Kg3 6.Re3+ Kh4 7.Re4+ Nf4
8.Rexf4+ Kg3
  -+  (-4.80)   Depth: 6/17   00:00:00  3kN
1...Nxh5 2.fxe6+ Kg6 3.Bc2+ Kg5 4.Rf5+ Kg4 5.h3+ Kg3 6.Re3+ Kh4 7.Re4+ Nf4
8.Rexf4+ Kg3 9.exd7 Qxd7
  -+  (-3.72)   Depth: 6/17   00:00:00  3kN
1...Nxh5 2.fxe6+ Kg6 3.Bc2+ Kg5 4.Rf5+ Kg6 5.Rf4+ Kg5 6.Rf5+ Kg6 7.Rf4+ Kg5
8.Rf5+ Kg6
  =  (0.05)   Depth: 6/17   00:00:00  6kN
1...Nxh5 2.fxe6+ Kg6 3.Bc2+ Kg5 4.Rf5+ Kg6 5.Rf4+ Kg5 6.Rf5+ Kg6 7.Rf4+ Kg5
8.Rf5+ Kg6
  =  (0.05)   Depth: 7/21   00:00:00  14kN
1...Nxh5 2.fxe6+ Kg6 3.Bc2+ Kg5 4.Rf5+ Kg6 5.Rf4+ Kg5 6.Rf5+ Kg6 7.Rf4+ Kg5
8.Rf5+ Kg6
  =  (0.05)   Depth: 8/21   00:00:00  31kN
1...Nxh5 2.fxe6+ Kg6 3.Bc2+ Kg5 4.Rf5+ Kg6 5.Rf4+ Kg5 6.Rf5+ Kg6 7.Rf4+ Kg5
8.Rf5+ Kg6
  =  (0.05)   Depth: 9/26   00:00:00  117kN
1...Nxh5 2.fxe6+ Kg6 3.Bc2+ Kg5 4.Rf5+ Kg6 5.Rf6+ Kg5 6.h4+ Kxh4 7.Re4+ Nf4
8.Rexf4+ Kg5 9.R4f5+ Kh4 10.Rf4+ Kg5 11.R4f5+ Kh4 12.Rf4+ Kg5
  =  (0.09)   Depth: 10/27   00:00:01  322kN
1...Nxh5 2.fxe6+ Kg6 3.Bc2+ Kg5 4.Rf5+ Kg6 5.Rf6+ Kg5 6.Rg6+ Kh4 7.Re4+ Nf4
8.Rxf4+ Kh5 9.Rxg7 Rf8 10.Bd1#
  ²  (0.34)   Depth: 11/28   00:00:02  370kN
1...Nxh5 2.fxe6+ Kg6 3.Bc2+ Kg5 4.Rf5+ Kg6 5.Rf6+ Kg5 6.Rg6+ Kh4 7.Re4+ Nf4
8.Rxf4+ Kh5 9.Rxg7 Ne7 10.Bd1#
  ±  (0.84)   Depth: 11/28   00:00:02  378kN
1...Nxh5 2.fxe6+ Kg6 3.Bc2+ Kg5 4.Rf5+ Kg6 5.Rf6+ Kg5 6.Rg6+ Kh4 7.Re4+ Nf4
8.Rxf4+ Kh5 9.g3 Bxe6 10.Rh4#
  +-  (#9)   Depth: 11/28   00:00:02  409kN
1...Nxh5 2.fxe6+ Kg6 3.Bc2+ Kg5 4.Rf5+ Kg6 5.Rf6+ Kg5 6.Rg6+ Kh4 7.Re4+ Nf4
8.Rxf4+ Kh5 9.g3 Bxe6 10.Rh4#
  +-  (#9)   Depth: 12/28   00:00:02  409kN
1...Nxh5 2.fxe6+ Kg6 3.Bc2+ Kg5 4.Rf5+ Kg6 5.Rf6+ Kg5 6.Rg6+ Kh4 7.Re4+ Nf4
8.Rxf4+ Kh5 9.g3 Bxe6 10.Rh4#
  +-  (#9)   Depth: 13/28   00:00:02  409kN
1...Nxh5 2.fxe6+ Kg6 3.Bc2+ Kg5 4.Rf5+ Kg6 5.Rf6+ Kg5 6.Rg6+ Kh4 7.Re4+ Nf4
8.Rxf4+ Kh5 9.g3 Bxe6 10.Rh4#
  +-  (#9)   Depth: 14/28   00:00:02  413kN
1...Nxh5 2.fxe6+ Kg6 3.Bc2+ Kg5 4.Rf5+ Kg6 5.Rf6+ Kg5 6.Rg6+ Kh4 7.Re4+ Nf4
8.Rxf4+ Kh5 9.g3 Bxe6 10.Rh4#
  +-  (#9)   Depth: 15/28   00:00:02  430kN
1...Nxh5 2.fxe6+ Kg6 3.Bc2+ Kg5 4.Rf5+ Kg6 5.Rf6+ Kg5 6.Rg6+ Kh4 7.Re4+ Nf4
8.Rxf4+ Kh5 9.g3 Bxe6 10.Rh4#
  +-  (#9)   Depth: 16/28   00:00:02  459kN
1...Nxh5 2.fxe6+ Kg6 3.Bc2+ Kg5 4.Rf5+ Kg6 5.Rf6+ Kg5 6.Rg6+ Kh4 7.Re4+ Nf4
8.Rxf4+ Kh5 9.g3 Bxe6 10.Rh4#
  +-  (#9)   Depth: 17/28   00:00:03  478kN
1...Nxh5 2.fxe6+ Kg6 3.Bc2+ Kg5 4.Rf5+ Kg6 5.Rf6+ Kg5 6.Rg6+ Kh4 7.Re4+ Nf4
8.Rxf4+ Kh5 9.g3 Bxe6 10.Rh4#
  +-  (#9)   Depth: 18/28   00:00:03  515kN
1...Nxh5 2.fxe6+ Kg6 3.Bc2+ Kg5 4.Rf5+ Kg6 5.Rf6+ Kg5 6.Rg6+ Kh4 7.Re4+ Nf4
8.Rxf4+ Kh5 9.g3 Bxe6 10.Rh4#
  +-  (#9)   Depth: 19/28   00:00:03  564kN
1...Nxh5 2.fxe6+ Kg6 3.Bc2+ Kg5 4.Rf5+ Kg6 5.Rf6+ Kg5 6.Rg6+ Kh4 7.Re4+ Nf4
8.Rxf4+ Kh5 9.g3 Bxe6 10.Rh4#
  +-  (#9)   Depth: 20/28   00:00:04  685kN
1...Nxh5 2.fxe6+ Kg6 3.Bc2+ Kg5 4.Rf5+ Kg6 5.Rf6+ Kg5 6.Rg6+ Kh4 7.Re4+ Nf4
8.Rxf4+ Kh5 9.g3 Bxe6 10.Rh4#
  +-  (#9)   Depth: 21/29   00:00:05  876kN
1...Nxh5 2.fxe6+ Kg6 3.Bc2+ Kg5 4.Rf5+ Kg6 5.Rf6+ Kg5 6.Rg6+ Kh4 7.Re4+ Nf4
8.Rxf4+ Kh5 9.g3 Bxe6 10.Rh4#
  +-  (#9)   Depth: 22/29   00:00:07  1103kN
1...Nxh5 2.fxe6+ Kg6 3.Bc2+ Kg5 4.Rf5+ Kg6 5.Rf6+ Kg5 6.Rg6+ Kh4 7.Re4+ Nf4
8.Rxf4+ Kh5 9.g3 Bxe6 10.Rh4#
  +-  (#9)   Depth: 23/29   00:00:09  1535kN
1...Nxh5 2.fxe6+ Kg6 3.Bc2+ Kg5 4.Rf5+ Kg6 5.Rf6+ Kg5 6.Rg6+ Kh4 7.Re4+ Nf4
8.Rxf4+ Kh5 9.g3 Bxe6 10.Rh4#
  +-  (#9)   Depth: 24/29   00:00:12  2211kN

(Blass, Tel-Aviv 22.08.2003)

Uri



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