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Subject: Re: Not soluble for computer?

Author: Paul

Date: 16:11:34 03/26/01

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On March 26, 2001 at 14:14:57, Heiner Marxen wrote:

>On March 23, 2001 at 01:54:29, Heinz-Josef Schumacher wrote:
>
>>The follow study is not soluble for progrms today!?
>>
>>5nr1/2Pp2pk/3Pp1p1/4P1P1/6P1/5K2/8/7n w - -
>>
>>http://homepages.compuserve.de/hjsxy/2.gif
>>
>>M.Judowitsch- Study 1976
>>
>>1.c8N!! [1.Kg2? Rh8 2.Kxh1 Kg8+ 3.Kg2 Rh4=).  1...Rh8 2.Ne7 Nf2 3.Kxf2 Rg8 4.Ke3
>>Kh8 5.Kd4 Kh7 6.Kc5 Kh8 7.Kb6 Kh7 8.Kc7 Rh8 9.Kd8 Rg8 10.Ke8 Rh8 11.Kf7 Rg8
>>12.Nxg8 Kh8 13.Kxf8 1-0
>
>My program Chest confirms, that after 8...Rh8 there is a mate in 12:
>
>9.Kd8 Rg8 10.Ke8 Kh8 11.Kf7 Kh7 12.Nxg8 Kh8 13.Ne7 Kh7 14.Kxf8 Kh8 15.Ke8 Kh7
>16.Kxd7 Kh8 17.Kc7 Kh7 18.d7 Kh8 19.d8=Q+ Kh7 20.Qg8#
>
>When I went back one more move of the intended solution, Chest refutes
>8.Kc7 with Kh8 instead of Rh8, with the following line:
>8.Kc7 Kh8 9.Kd8? Nh7+!, avoiding the mate with Nxg6.
>
>Neither I nor Chest have found a solution here, so it may be a refutation
>of the study, but I doubt it.  Does anyone know better?

Hi Heiner!

I've also played around a bit with this position and the longest line Pretz
finds is a Mate in 41:

1. c8N!! Rh8 2. Ne7 Nf2 3. Kxf2 Rg8 4. Ke3 Kh8 5. Kd4 Kh7 6. Kc5 Kh8 7. Kb6 Kh7
8. Kc7 Kh8 9. Kc8 Nh7+ 10. Nxg8 Kxg8 11. Kxd7 Kf8 12. Kc8 Nxg5 13. d7 Nf7 14.
d8=Q+ Nxd8 15. Kxd8 Kf7 16. Kd7 Kf8 17. Kxe6 Ke8 18. g5 Kf8 19. Kd7 Kf7 20. e6+
Kg8 21. e7 Kh8 22. e8=N Kh7 23. Nxg7 Kxg7 24. Ke7 Kg8 25. Kf6 Kh7 26. Kf7 Kh8
27. Kxg6 Kg8 28. Kh6 Kf7 29. Kh7 Ke7 30. g6 Ke6 31. g7 Ke5 32. g8=Q Kd4 33. Qg4+
Kd3 34. Kg6 Ke3 35. Kg5 Kd3 36. Qb4 Ke3 37. Kg4 Ke2 38. Qd4 Kf1 39. Qd2 Kg1 40.
Kg3 Kh1 41. Qg2#

If instead of 11... Kf8 black plays 11... Nxg5 a much shorter mate follows:

11... Nxg5 12. Ke7 Nf7 13. d7 g5 14. d8=Q+ Nxd8 15. Kxd8 Kf8 16. Kd7 Kf7 17. Kd6
Kf8 18. Kxe6 Ke8 19. Kf5 Ke7 20. Kxg5 Ke6 21. Kf4 Ke7 22. Kf5 Kf7 23. e6+ Ke7
24. Kg6 Kxe6 25. Kxg7 Ke5 26. g5 Kf5 27. Kh6 Kf4 28. g6 Kf3 29. g7 Ke3 30. g8=Q
Kd3 31. Qg6+ Ke3 32. Qg4 Kd3 33. Qb4 Ke3 34. Kg5 Ke2 35. Kf4 Kd3 36. Kf3 Kc2 37.
Ke3 Kc1 38. Kd3 Kd1 39. Qb1# :)

Of course, as usual, I'm not totally convinced this is correct, but I think it's
close :) Anyway, 8... Kh8 is a much tougher defence than 8... Rh8.

Groetjes,
Paul



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