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Subject: Re: Mate in 46

Author: Heiner Marxen

Date: 07:25:50 01/31/01

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On January 30, 2001 at 17:15:45, Olaf Jenkner wrote:

>Perhaps I had in mind this problem what is easily to prove that there is
>no shorter mate.
>
>Pervakow/Sum.  #46
>[D]2N5/p4P2/p4RqP/P2krb2/5RNK/2PPBnP1/3P1pP1/5Q2 w - - 1 0

Yes, that can be.  Much to my own surprise Chest really proves this
as a mate in 46 moves, and needs just 8.2 seconds (K7/600) for it.
It gives the following PV:

 1. gxf3  Qh5+
 2. Kxh5  Bg6+
 3. Kxg6  Rg5+
 4. Kh7   Rg7+
 5. Kh8   Rh7+
 6. Kg8   Rh8+
 7. Kg7   Rh7+
 8. Kf8   Rh8+
 9. Ke7   Re8+
10. Kd7   Rd8+
11. Kc7   Rd7+
12. Kb8   Rb7+
13. Ka8   Rb8+
14. Kxa7  Rb7+
15. Kxa6  Ra7+
16. Kb5   Rxa5+
17. Kb4   Rb5+
18. Ka3   Rb3+
19. Ka2   Rb2+
20. Ka1   Ra2+
21. Kb1   Rb2+
22. Kc1   Rb1+
23. Kc2   Rb2+
24. Kd1   Rb1+
25. Ke2   Re1+
26. Kxf2  Re2+
27. Kg1   Rg2+
28. Kh1   Rg1+
29. Kh2   Rh1+
30. Kg2   Rg1+
31. Kh3   Rxg3+
32. Kh4   Rh3+
33. Kg5   Rh5+
34. Kg6   Rg5+
35. Kh7   Rg7+
36. Kh8   Rh7+
37. Kg8   Rh8+
38. Kg7   Rh7+
39. Kg6   Rg7+
40. Kh5   Rg5+
41. Kh4   Rh5+
42. Kg3   Rh3+
43. Kf2   Rxf3+
44. Ke2   Rf2+
45. Nxf2  Ke5
46. R4f5#

I even had to increase the maximal allowed depth in Chest (formerly 30).
Quite an exceptional position!

Can the playing programs solve this, also?  I suspect so.

Heiner



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