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Subject: Re: Cheick out this endgame position. Yace Paderborn finds in 8 seconds.

Author: Omid David Tabibi

Date: 09:56:00 12/29/03

Go up one level in this thread


On December 29, 2003 at 11:09:51, Brian Katz wrote:

>[D]8/r7/8/5bk1/8/5B2/5RPP/6K1 b
>        The position above, which is the one we have been looking at for the
>past few days, is pretty interesting in that if you have the Tablebases turned
>on, it finds the solution
>correctly with also the correct =(0.00) evaluation that some engines don’t give.
>This is an 8 piece endgame, yet the program sees through to a 5 piece endgame
>with the Tablebases. That is pretty impressive. It finds the solution as =(0.00)
>rather than =(0.12). Most engines without Tablebases, find the correct sequence
>of moves, with basically a drawn evaluation, but some don’t realize that the
>evaluation should be =(0.00)
>
> Below, is a similar position to the one we have been looking for the last few
>days. I expanded on the position as mentioned by one of the posters by adding a
>file h pawns and moving the Black King to h8.
>This position is a 13 piece endgame. Let’s see if the Tablebases can see Thru 13
>pieces to a 5 piece endgame.
>
>[D]7k/r6P/7P/5b1P/7P/5B1P/5RPP/6K1 b

First of all, this position is illegal (how did the h3 pawn get there?!). But
anyway:

Falcon 1.0.0.1 running on GenuineIntel 733MHz 256MB:
depth     time    nodes   nps  score  variation
 3/8      0.00       0k    0k  -2.11  1...a7a1 1.f2f1 a1a2 2.f3d5
 4/10     0.02       1k   54k  -2.13  1...a7a1 1.f2f1 a1a2 2.g2g3 a2d2
                                      3.h2h4 g5f6
 5/11     0.04       2k   59k  -2.15  1...a7a1 1.f2f1 a1a2 2.f3d5 a2d2
                                      3.h2h4 g5g4
 6/15     0.11      16k  146k  -2.34  1...a7a1 1.f2f1 a1f1 2.g1f1 f5d3
                                      3.f1f2 g5h4 4.f3d5 h4g4
 7/15     0.29      54k  186k  -2.36  1...a7a1 1.f2f1 a1f1 2.g1f1 g5h4
                                      3.f1f2 f5e6 4.f3e4 e6c4
 8/15     0.78     160k  204k  -2.35  1...a7a1 1.f2f1 a1f1 2.g1f1 f5d3
                                      3.f3e2 d3e4 4.g2g3 g5f5 5.h2h4 f5e5
 9/17     1.32     288k  217k  -2.05  1...a7a1
 9/17     1.33     289k  217k   0.00  1...a7a1 1.f2f1 a1f1 2.g1f1
10/15     1.37     299k  218k   0.00  1...a7a1 1.f2f1 a1f1 2.g1f1
11/17     1.47     331k  225k   0.00  1...a7a1 1.f2f1 a1f1 2.g1f1
12/19     1.67     386k  231k   0.00  1...a7a1 1.f2f1 a1f1 2.g1f1
13/19     2.22     534k  240k   0.00  1...a7a1 1.f2f1 a1f1 2.g1f1
14/21     3.65     910k  249k   0.00  1...a7a1 1.f2f1 a1f1 2.g1f1
15/23     7.31    1921k  262k   0.00  1...a7a1 1.f2f1 a1f1 2.g1f1



>
>This was after almost an hour and a half of analysis with the Tablebases turned
>on. Tablebase setting of 3 in Engine Parameters. Then again at a setting of 0
>(Zero).
>Beneath that will be a Half Hour of analysis without the use of Tablebases.
>Notice, without the Tablebases, it takes longer to evaluate the position even
>though this is not a 5 piece ending. The last analysis showing was at 59 min, 40
>secs with the Tablebase setting of 3. Further down I also have analysis with the
>Tablebase setting lowered to 0 rather than the default setting of 3. There are
>some interesting differences….
>Below that will be with no Tablebases at all For Fritz 8.
>After that you will see YACE PADERBORN FINDING = (0.00) IN ONLY 8 SECONDS!!
>
>ENJOY
>
>Analysis by Fritz 8: With a Tablebase setting of  3.
>
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Bxh3 4.Bg4 Bxg2+ 5.Kf2 Kxh7 6.Ke3 Kxh6 7.Kd4 Bf3
>8.h3 Bd5
>  ±  (0.78)   Depth: 12/20   00:00:00  178kN
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Bxh3 4.Bg4 Bxg2+ 5.Kf2 Kxh7 6.Ke3 Kxh6 7.Kd4 Bh3
>8.Bf3 Bg4 9.Be4 Kxh5
>  ±  (0.72)   Depth: 13/22   00:00:00  396kN, tb=2
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Bxh3 4.Bg4 Bxg2+ 5.Kf2 Kxh7 6.Ke3 Kxh6 7.Kd4 Bh3
>8.Bf3 Bg4 9.Be4 Kxh5
>  ±  (0.72)   Depth: 13/22   00:00:00  396kN, tb=2
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Bxh3 4.Bg4 Bxg2+ 5.Kf2 Kxh7 6.Ke3 Kxh6 7.Kd4 Bh3
>8.Bf3 Bg4 9.Be4 Kxh5
>  ±  (0.72)   Depth: 13/22   00:00:00  396kN, tb=2
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Bxh3 4.Bg4 Bxg2+ 5.Kf2 Kxh7 6.Ke3 Kxh6 7.Kd4 Bh3
>8.Bf3 Bg4 9.Be4 Kxh5
>  ±  (0.72)   Depth: 13/22   00:00:00  396kN, tb=2
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Bxh3 4.Bg4 Bxg2+ 5.Kf2 Kxh7 6.Ke3 Kxh6 7.Kd4 Bh3
>8.Bf3 Bg4 9.Be4 Kxh5
>  ±  (0.72)   Depth: 13/22   00:00:00  396kN, tb=2
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Bxh3 4.Bg4 Bxg2+ 5.Kf2 Kxh7 6.Ke3 Kxh6 7.Kd4 Bh3
>8.Bf3 Bg4 9.Be4 Kxh5
>  ±  (0.72)   Depth: 13/22   00:00:00  396kN, tb=2
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Bxh3 4.Bg4 Bxg2+ 5.Kf2 Kxh7 6.Ke3 Kxh6 7.Kd4 Bh3
>8.Bf3 Bg4 9.Be4 Kxh5
>  ±  (0.72)   Depth: 14/22   00:00:00  620kN, tb=6
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Bxh3 4.Bg4 Bxg2+ 5.Kf2 Kxh7 6.Ke3 Kxh6 7.Kd4 Bh3
>8.Bd1 Bg4 9.Bc2 Bf5 10.Bd1
>  ²  (0.59)   Depth: 15/26   00:00:00  1153kN, tb=26
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Bxh3 4.Bg4 Bxg2+ 5.Kf2 Kxh7 6.Ke3 Kxh6 7.Kd4 Bh3
>8.Bd1 Bg4 9.Bb3 Kxh5 10.Bf7+ Kxh4 11.Bd5
>  ²  (0.59)   Depth: 16/27   00:00:01  1703kN, tb=70
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Bxh3 4.Bg4 Bxg2+ 5.Kf2 Kxh7 6.Ke3 Kxh6 7.Kd4 Bh3
>8.Be2 Bg4 9.Bd3 Kxh5 10.Ke5 Bf5 11.Bc4
>  ²  (0.53)   Depth: 17/28   00:00:02  3281kN, tb=243
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Bxh3 4.Bg4 Bxg2+ 5.Kf2 Kxh7 6.Ke3 Kxh6 7.Kd4 Bh3
>8.Be2 Bg4 9.Bd3 Kxh5 10.Ke5 Bf5 11.Bc4
>  ²  (0.53)   Depth: 18/30   00:00:04  5016kN, tb=519
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Bxh3 4.Bg4 Bxg2+ 5.Kf2 Kxh7 6.Ke3 Kxh6 7.Kd4 Bh3
>8.Be2 Bg4 9.Bd3 Kxh5 10.Ke5 Kxh4 11.Kd4
>  ²  (0.41)   Depth: 19/31   00:00:08  9608kN, tb=1777
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Bxh3 4.Bg4 Bxg2+ 5.Kf2 Kxh7 6.Kg3 Kxh6 7.Be6 Kxh5
>8.Bg4+ Kh6
>  ²  (0.41)   Depth: 20/36   00:00:12  15063kN, tb=3553
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Bxh3 4.Bg4 Bxg2+ 5.Kf2 Kxh7 6.Kg3 Kxh6 7.Be6 Kxh5
>8.Bg4+ Kh6
>  ²  (0.41)   Depth: 21/34   00:00:22  27468kN, tb=6398
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Bxh3 4.Bg4 Bxg2+ 5.Kf2 Kxh7 6.Kg3 Kxh6 7.Be6 Kxh5
>8.Bg4+ Kh6
>  =  (0.25)   Depth: 22/36   00:00:50  62073kN, tb=11499
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Bxh3 4.Bg4 Bxg2+ 5.Kf2 Kxh7 6.Kg3 Kxh6 7.Be6 Kxh5
>8.Bg4+ Kh6
>  =  (0.25)   Depth: 23/38   00:01:11  89755kN, tb=15051
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Bxh3 4.Bg4 Bxg2+ 5.Kf2 Kxh7 6.Kg3 Kxh6 7.Be6 Kxh5
>8.Bg4+ Kg6 9.Kf4 Bh3 10.Bf3 Bg4 11.Be4+
>  =  (0.22)   Depth: 24/42   00:02:35  193158kN, tb=26720
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Bxh3 4.Bg4 Bxg2+ 5.Kf2 Kxh7 6.Kg3 Kxh6 7.Be6 Kxh5
>8.Bg4+ Kg6 9.Kf4 Bh3 10.Bf3 Bg4 11.Bc6
>  =  (0.22)   Depth: 25/43   00:03:51  286461kN, tb=34079
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Bxh3 4.Bg4 Bxg2+ 5.Kf2 Kxh7 6.Kg3 Kxh6 7.Be6 Kxh5
>8.Bg4+ Kg6 9.Kf4 Bh3 10.Bf3 Bg4 11.Bc6
>  =  (0.22)   Depth: 26/62   00:06:21  455282kN, tb=48921
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Bxh3 4.Bg4 Bxg2+ 5.Kf2 Kxh7 6.Kg3 Kxh6 7.Be6 Kxh5
>8.Bg4+ Kg6 9.Kf4 Bh3 10.Bf3 Bg4 11.Bc6
>  =  (0.22)   Depth: 27/57   00:11:30  831796kN, tb=77827
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Bxh3 4.Bg4 Bxg2+ 5.Kf2 Kxh7 6.Kg3 Kxh6 7.Be6 Kxh5
>8.Bg4+ Kg6 9.Kf4 Bh3 10.Bf3 Bg4 11.Bc6
>  =  (0.22)   Depth: 28/88   00:21:09  1564813kN, tb=137681
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Bxh3 4.Bg4 Bxg2+ 5.Kf2 Kxh7 6.Kg3 Kxh6 7.Be6 Bh3
>8.Bf7 Bf1 9.Bd5 Bg2
>  =  (0.19)   Depth: 29/92   00:59:40  4335937kN, tb=271563
>
>(Katz, Eatontown 28.12.2003)
>Below I have the analysis with the Tablebases turned on with a Parameter setting
>of  0. (Zero) The lower the setting, the more Tablebase hits. The higher the
>setting, the less Tablebase hits.
>Notice the difference in the analysis times and the evaluations. With the
>Default Tablebase setting as above, the closest evaluation to a draw was =
>(0.19) reached at 59 min, 40 seconds, and that was the last showing evaluation
>after one and a half hours.
>
>In the below example, with the Tablebase setting set at 0, = (0.19) evaluation
>was reached at only 00:26:48 and = (0.03) was reached at 00:55:15. At  02:24:06
>it displayed another evaluation or = (0.03). Notice the kN count (7,669,142)and
>also the tb=4,252,495. Also, notice the Depth of 30/98. I stopped the analysis
>at approx. 4 hours, with no change since the 02:24:06 mark. It appears that the
>Tablebases , or at least the more frequent TB hits do make a difference in the
>outcome.
>How will this affect playing strength?
>Question: If you have a fast processor, will the engine play stronger with the
>lower Tablebase setting? It has been said that setting it too low, allowing more
>and earlier Tablebase hits, can slow down the engine, but if it can see further
>into the position , won’t it increase the playing strength. I can see if a slow
>processor is being used, a problems may result, resulting in a slowdown, but in
>this case, I am using an AMD Athlon XP 2600+ 1 Gig DDR SDRAM.
>
>Analysis by Fritz 8: With a Tablebase setting of 0.
>
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Bxh3 4.Kf2 Bxg2 5.Be2 Kxh7 6.Ke3 Bd5 7.Bd3+ Kxh6
>  ±  (0.78)   Depth: 7/13   00:00:00  14kN, tb=1
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Bxh3 4.Kf2 Bxg2 5.Be2 Kxh7 6.Ke3 Bd5 7.Bd3+ Kxh6
>  ±  (0.78)   Depth: 8/14   00:00:00  18kN, tb=1
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Bxh3 4.Kf2 Bxg2 5.Be2 Kxh7 6.Ke3 Bd5 7.Kd4 Kxh6
>  ±  (0.75)   Depth: 9/19   00:00:00  29kN, tb=6
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Bxh3 4.Kf2 Bxg2 5.Be2 Kxh7
>  ±  (0.75)   Depth: 10/19   00:00:00  42kN, tb=9
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Bxh3 4.Kf2 Bxg2 5.Bg4 Kxh7
>  ±  (0.75)   Depth: 11/19   00:00:00  112kN, tb=16
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Bxh3 4.Bg4 Bxg2+ 5.Kf2 Kxh7 6.Ke3 Kxh6 7.Kd4 Bf3
>8.h3 Bd5
>  ±  (0.78)   Depth: 12/20   00:00:00  177kN, tb=47
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Bxh3 4.Bg4 Bxg2+ 5.Kf2 Kxh7 6.Ke3 Kxh6 7.Kd4 Bh3
>8.Bf3 Bg4 9.Be4 Kxh5
>  ±  (0.72)   Depth: 13/22   00:00:00  395kN, tb=94
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Bxh3 4.Bg4 Bxg2+ 5.Kf2 Kxh7 6.Ke3 Kxh6 7.Kd4 Bh3
>8.Bf3 Bg4 9.Be4 Kxh5
>  ±  (0.72)   Depth: 14/22   00:00:01  621kN, tb=215
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Bxh3 4.Bg4 Bxg2+ 5.Kf2 Kxh7 6.Ke3 Kxh6 7.Kd4 Bh3
>8.Bd1 Bg4 9.Bc2 Bf5 10.Bd1
>  ²  (0.59)   Depth: 15/26   00:00:03  1145kN, tb=699
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Bxh3 4.Bg4 Bxg2+ 5.Kf2 Kxh7 6.Ke3 Kxh6 7.Kd4 Bh3
>8.Bd1 Bg4 9.Bc2 Bf5 10.Bd1 Be4
>  ²  (0.56)   Depth: 16/27   00:00:04  1840kN, tb=1635
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Bxh3 4.Bg4 Bxg2+ 5.Kf2 Kxh7 6.Ke3 Kxh6 7.Kf4 Bh3
>8.Be2 Bg2 9.Kg3 Kh7
>  ²  (0.47)   Depth: 17/27   00:00:08  3442kN, tb=3895
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Bxh3 4.Bg4 Bxg2+ 5.Kf2 Kxh7 6.Bf5+ Kxh6 7.Kg3 Kxh5
>8.Be6 Bd5 9.Bg4+ Kh6 10.Be2 Bg2
>  ²  (0.44)   Depth: 18/29   00:00:12  5848kN, tb=7669
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Bxh3 4.Bg4 Bxg2+ 5.Kf2 Kxh7 6.Bf5+ Kxh6 7.Kg3 Kxh5
>8.Be6 Bd5 9.Bg4+ Kh6 10.Kf4 Bf3
>  ²  (0.37)   Depth: 19/33   00:00:18  10244kN, tb=12215
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Bxh3 4.Bg4 Bxg2+ 5.Kf2 Kxh7 6.Bf5+ Kxh6 7.Kg3 Kxh5
>8.Be6 Bd5 9.Bg4+ Kh6 10.Kf4 Bf3
>  ²  (0.37)   Depth: 20/36   00:00:25  15375kN, tb=17168
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Bxh3 4.Bg4 Bxg2+ 5.Kf2 Kxh7 6.Bf5+ Kxh6 7.Kg3 Kxh5
>8.Be6 Bd5 9.Bg4+ Kh6 10.Kf4 Bf3
>  ²  (0.28)   Depth: 21/39   00:00:40  29737kN, tb=27324
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Bxh3 4.Bg4 Bxg2+ 5.Kf2 Kxh7 6.Bf5+ Kxh6 7.Kg3 Kxh5
>8.Be6 Bd5 9.Bg4+ Kh6 10.Kf4 Bf3
>  ²  (0.28)   Depth: 22/36   00:00:59  45355kN, tb=38359
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Bxh3 4.Bg4 Bxg2+ 5.Kf2 Kxh7 6.Bf5+ Kxh6 7.Kg3 Kxh5
>8.Be6 Bd5 9.Bg4+ Kh6 10.Kf4 Bf3
>  ²  (0.28)   Depth: 23/44   00:01:31  76347kN, tb=52235
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Bxh3 4.Bg4 Bxg2+ 5.Kf2 Kxh7 6.Bf5+ Kxh6 7.Kg3 Kxh5
>8.Be6 Bd5 9.Bg4+ Kh6 10.Kf4 Bf3 11.Bd7
>  ²  (0.28)   Depth: 24/40   00:02:43  137296kN, tb=101864
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Bxh3 4.Bg4 Bxg2+ 5.Kf2 Kxh7 6.Bf5+ Kxh6 7.Kg3 Kxh5
>8.Be6 Bd5 9.Bg4+ Kh6 10.Be2 Bc4 11.Bd1
>  =  (0.25)   Depth: 25/62   00:05:23  295798kN, tb=173128
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Bxh3 4.Bg4 Bxg2+ 5.Kf2 Kxh7 6.Bf5+ Kxh6 7.Kg3 Kxh5
>8.Be6 Bd5 9.Bg4+ Kh6 10.Be2 Bb3 11.Bf3
>  =  (0.22)   Depth: 26/48   00:12:47  735962kN, tb=290678
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Bxh3 4.Bg4 Bxg2+ 5.Kf2 Kxh7 6.Bf5+ Kxh6 7.Kg3 Kxh5
>8.Be6 Bd5 9.Bd7 Be6 10.Be8+ Bf7 11.Bc6
>  =  (0.19)   Depth: 27/77   00:26:48  1670420kN, tb=508937
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Bxh3 4.Bg4 Bxg2+ 5.Kf2 Kxh7 6.Bf5+ Kxh6 7.Kg3 Kxh5
>8.Be6 Be4 9.Bg4+ Kh6 10.Kf2 Bg2 11.Bd7
>  =  (0.03)   Depth: 28/86   00:55:15  3583101kN, tb=948398
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Bxh3 4.Bg4 Bxg2+ 5.Kf2 Kxh7 6.Bf5+ Kxh6 7.Kg3 Kxh5
>8.Be6 Be4 9.Bg4+ Kh6 10.Kf2 Bg2 11.Bd7
>  =  (0.03)   Depth: 29/98   01:23:30  4879148kN, tb=1993294
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Bxh3 4.Bg4 Bxg2+ 5.Kf2 Kxh7 6.Bf5+ Kxh6 7.Kg3 Kxh5
>8.Be6 Be4 9.Bg4+ Kh6 10.Kf2 Bg2 11.Bd7
>  =  (0.03)   Depth: 30/98   02:24:06  7669142kN, tb=4252495
>
>(Katz, Eatontown 29.12.2003)
>
>Analysis by Fritz 8: With No Tablebases
>
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Bxh3 4.Kf2 Bxg2 5.Be2 Kxh7 6.Ke3 Bd5 7.Bd3+ Kxh6
>  ±  (0.78)   Depth: 7/13   00:00:00  14kN
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Bxh3 4.Kf2 Bxg2 5.Be2 Kxh7 6.Ke3 Bd5 7.Bd3+ Kxh6
>  ±  (0.78)   Depth: 8/14   00:00:00  18kN
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Bxh3 4.Kf2 Bxg2 5.Be2 Kxh7 6.Ke3 Bd5 7.Kd4 Kxh6
>  ±  (0.75)   Depth: 9/19   00:00:00  29kN
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Bxh3 4.Kf2 Bxg2 5.Be2 Kxh7
>  ±  (0.75)   Depth: 10/19   00:00:00  42kN
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Bxh3 4.Kf2 Bxg2 5.Bg4 Kxh7
>  ±  (0.75)   Depth: 11/19   00:00:00  112kN
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Bxh3 4.Bg4 Bxg2+ 5.Kf2 Kxh7 6.Ke3 Kxh6 7.Kd4 Bf3
>8.h3 Bd5
>  ±  (0.78)   Depth: 12/20   00:00:00  178kN
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Bxh3 4.Bg4 Bxg2+ 5.Kf2 Kxh7 6.Ke3 Kxh6 7.Kd4 Bh3
>8.Bf3 Bg4 9.Be4 Kxh5
>  ±  (0.72)   Depth: 13/22   00:00:00  398kN
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Bxh3 4.Bg4 Bxg2+ 5.Kf2 Kxh7 6.Ke3 Kxh6 7.Kd4 Bh3
>8.Bf3 Bg4 9.Be4 Kxh5
>  ±  (0.72)   Depth: 14/22   00:00:00  624kN
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Bxh3 4.Bg4 Bxg2+ 5.Kf2 Kxh7 6.Ke3 Kxh6 7.Kd4 Bh3
>8.Bd1 Bg4 9.Bc2 Bf5 10.Bd1
>  ²  (0.59)   Depth: 15/26   00:00:00  1171kN
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Bxh3 4.Bg4 Bxg2+ 5.Kf2 Kxh7 6.Ke3 Kxh6 7.Kd4 Bh3
>8.Bd1 Bg4 9.Bb3 Kxh5 10.Bf7+ Kxh4 11.Bd5
>  ²  (0.59)   Depth: 16/27   00:00:01  1730kN
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Bxh3 4.Bg4 Bxg2+ 5.Kf2 Kxh7 6.Ke3 Kxh6 7.Kd4 Bh3
>8.Be2 Bg4 9.Bd3 Kxh5 10.Ke5 Bf5 11.Bc4
>  ²  (0.53)   Depth: 17/29   00:00:02  3420kN
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Bxh3 4.Bg4 Bxg2+ 5.Kf2 Kxh7 6.Ke3 Kxh6 7.Kd4 Bh3
>8.Be2 Bg4 9.Bd3 Kxh5 10.Ke5 Bf5 11.Bc4
>  ²  (0.53)   Depth: 18/31   00:00:04  5184kN
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Bxh3 4.Bg4 Bxg2+ 5.Kf2 Kxh7 6.Bf5+ Kxh6 7.Kg3 Be4
>8.Bg4 Bf3 9.h3 Bg2
>  ²  (0.47)   Depth: 19/32   00:00:08  10524kN
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Bxh3 4.Bg4 Bxg2+ 5.Kf2 Kxh7 6.Bf5+ Kxh6 7.Kg3 Be4
>8.Bg4 Bf3 9.Be6 Bd5
>  ²  (0.47)   Depth: 20/36   00:00:14  18107kN
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Bxh3 4.Bg4 Bxg2+ 5.Kf2 Kxh7 6.Bf5+ Kxh6 7.Kg3 Be4
>8.Bg4 Bf3 9.Be6 Bd5
>  ²  (0.47)   Depth: 21/36   00:00:21  27709kN
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Bxh3 4.Bg4 Bxg2+ 5.Kf2 Bh3 6.Be2 Kxh7 7.Bf3 Kxh6
>8.Kg3 Bg4 9.Bd5 Be6
>  ²  (0.31)   Depth: 22/37   00:00:43  55936kN
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Bxh3 4.Bg4 Bxg2+ 5.Kf2 Bh3 6.Be2 Kxh7 7.Bf3 Kxh6
>8.Kg3 Bg4 9.Bd5 Be6
>  ²  (0.31)   Depth: 23/40   00:01:09  91041kN
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Bxh3 4.Bg4 Bxg2+ 5.Kf2 Bh3 6.Be2 Kxh7 7.Bf3 Kxh6
>8.Kg3 Bg4 9.Bd5 Be6
>  ²  (0.31)   Depth: 24/40   00:01:49  143926kN
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Bxh3 4.Bg4 Bxg2+ 5.Kf2 Bh3 6.Be2 Kxh7 7.Bf3 Kxh6
>8.Kg3 Bg4 9.Bd5 Be6
>  =  (0.25)   Depth: 25/80   00:05:25  422248kN
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Bxh3 4.Bg4 Bxg2+ 5.Kf2 Bh3 6.Be2 Kxh7 7.Bf3 Kxh6
>8.Kg3 Bg4 9.Bd5 Be6
>  =  (0.25)   Depth: 26/59   00:07:47  614861kN
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Bxh3 4.Bg4 Bxg2+ 5.Kf2 Bh3 6.Be2 Kxh7 7.Bf3 Kxh6
>8.Kg3 Bg4 9.Bd5 Be6
>  =  (0.25)   Depth: 27/80   00:12:52  1025475kN
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Bxh3 4.Bg4 Bxg2+ 5.Kf2 Bh3 6.Be2 Kxh7 7.Bf3 Kxh6
>8.Kg3 Bg4 9.Bd5 Be6
>  =  (0.25)   Depth: 28/76   00:25:15  2058045kN
>
>(Katz, Eatontown 29.12.2003)
>
>Now here is an interesting find…………….
>Yace Paderborn fully realizes that this position is DRAWN with a correct
>evaluation of  = (0.00) in only 8 SECONDS !!! See below !!
>
>Analysis by Yace Paderborn:
>
>1...Kxh7
>  +-  (6.26)   Depth: 1   00:00:00
>1...Kxh7
>  +-  (6.26)   Depth: 1   00:00:00
>1...Kxh7 2.g4
>  +-  (6.53)   Depth: 2   00:00:00
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Kxh7
>  +-  (6.48)   Depth: 2   00:00:00
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Kxh7
>  +-  (6.48)   Depth: 2   00:00:00
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Kxh7
>  +-  (6.48)   Depth: 2   00:00:00
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Kxh7
>  +-  (6.48)   Depth: 3   00:00:00
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Kxh7
>  +-  (6.48)   Depth: 3   00:00:00
>1...Ra1+ 2.Rf1 Rxf1+ 3.Kxf1 Kxh7 4.g3 Bxh3+ 5.Kf2
>  +-  (6.05)   Depth: 4   00:00:00
>1...Ra1+ 2.Bd1 Rxd1+ 3.Rf1 Rxf1+ 4.Kxf1
>  +-  (4.05)   Depth: 4   00:00:00
>1...Ra1+ 2.Bd1 Rxd1+ 3.Rf1 Rxf1+ 4.Kxf1 Bxh3 5.Ke2
>  +-  (1.53)   Depth: 4   00:00:00
>1...Ra1+ 2.Bd1 Rxd1+ 3.Rf1 Rxf1+ 4.Kxf1 Bxh3 5.Ke2
>  +-  (1.53)   Depth: 4   00:00:00
>1...Ra1+ 2.Bd1 Rxd1+ 3.Rf1 Rxf1+ 4.Kxf1 Bxh3 5.Ke2 Bxg2
>  +-  (1.53)   Depth: 5   00:00:00
>1...Ra1+ 2.Bd1 Rxd1+ 3.Rf1 Rxf1+ 4.Kxf1 Bxh3 5.Ke2 Bxg2
>  +-  (1.53)   Depth: 5   00:00:00
>1...Ra1+ 2.Bd1 Rxd1+ 3.Rf1 Rxf1+ 4.Kxf1 Bxh3 5.Kf2 Bxg2 6.h3 Bxh3 7.Ke3
>  ±  (0.87)   Depth: 6/11   00:00:00  6kN
>1...Ra1+ 2.Bd1 Rxd1+ 3.Rf1 Rxf1+ 4.Kxf1 Bxh3 5.Kf2 Bxg2 6.Ke3 Kxh7 7.Kd4 Kxh6
>  ²  (0.27)   Depth: 6/14   00:00:01  11kN
>1...Ra1+ 2.Bd1 Rxd1+ 3.Rf1 Rxf1+ 4.Kxf1 Bxh3 5.Kf2 Bxg2 6.Ke3 Kxh7 7.Kd4 Kxh6
>  ²  (0.27)   Depth: 6/15   00:00:01  12kN
>1...Ra1+ 2.Bd1 Rxd1+ 3.Rf1 Rxf1+ 4.Kxf1 Bxh3 5.Kf2 Bxg2 6.Ke3 Kxh7 7.Kd4 Kxh6
>  ²  (0.27)   Depth: 7/15   00:00:01  28kN
>1...Ra1+ 2.Bd1 Rxd1+ 3.Rf1 Rxf1+ 4.Kxf1 Bxh3 5.Kf2 Bxg2 6.Ke3 Kxh7 7.Kd4 Kxh6
>  ²  (0.27)   Depth: 7/17   00:00:01  33kN
>1...Ra1+ 2.Bd1 Rxd1+ 3.Rf1 Rxf1+ 4.Kxf1 Bxh3 5.Kf2 Bxg2 6.Ke3 Kxh7 7.Kf4 Kxh6
>8.Kg4
>  ²  (0.26)   Depth: 8/19   00:00:01  66kN
>1...Ra1+ 2.Bd1 Rxd1+ 3.Rf1 Rxf1+ 4.Kxf1 Bxh3 5.Kf2 Bxg2 6.Ke3 Kxh7 7.Kf4 Kxh6
>8.Kg4
>  ²  (0.26)   Depth: 8/19   00:00:01  71kN
>1...Ra1+ 2.Bd1 Rxd1+ 3.Rf1 Rxf1+ 4.Kxf1 Bxh3 5.Kf2 Bxg2 6.Ke3 Kxh7 7.Kf4 Kxh6
>8.Kf5 Kxh5
>  =  (0.21)   Depth: 9/19   00:00:01  151kN
>1...Ra1+ 2.Bd1 Rxd1+ 3.Rf1 Rxf1+ 4.Kxf1 Bxh3 5.Kf2 Bxg2 6.Ke3 Kxh7 7.Kf4 Kxh6
>8.Kf5 Kxh5
>  =  (0.21)   Depth: 9/21   00:00:02  170kN
>1...Ra1+ 2.Bd1 Rxd1+ 3.Rf1 Rxf1+ 4.Kxf1 Bxh3 5.Kf2 Bxg2 6.Ke3 Kxh7 7.Kf4 Kxh6
>8.Kg4 Bf3+ 9.Kf5 Kxh5
>  =  (0.20)   Depth: 10/21   00:00:02  313kN
>1...Ra1+ 2.Bd1 Rxd1+ 3.Rf1 Rxf1+ 4.Kxf1 Bxh3 5.Kf2 Bxg2 6.Ke3 Kxh7 7.Kf4 Kxh6
>8.Kg4 Bf3+ 9.Kf5 Kxh5
>  =  (0.20)   Depth: 10/23   00:00:02  335kN
>1...Ra1+ 2.Bd1 Rxd1+ 3.Rf1 Rxf1+ 4.Kxf1 Bxh3 5.Kf2 Bxg2 6.Ke3 Kxh7 7.Kf4 Kxh6
>8.Kg4 Bf3+ 9.Kg3 Kxh5 10.h3
>  =  (0.19)   Depth: 11/23   00:00:02  627kN
>1...Ra1+ 2.Bd1 Rxd1+ 3.Rf1 Rxf1+ 4.Kxf1 Bxh3 5.Kf2 Bxg2 6.Ke3 Kxh7 7.Kf4 Kxh6
>8.Kg4 Bf3+ 9.Kg3 Kxh5 10.h3
>  =  (0.19)   Depth: 11/25   00:00:02  686kN
>1...Ra1+ 2.Bd1 Rxd1+ 3.Rf1 Rxf1+ 4.Kxf1 Bxh3 5.Kf2 Bxg2 6.Ke3 Kxh7 7.Kf4 Kxh6
>8.Kg4 Bh3+ 9.Kf3 Kxh5 10.Kg3 Bf5
>  =  (0.16)   Depth: 12/25   00:00:02  1187kN
>1...Ra1+ 2.Bd1 Rxd1+ 3.Rf1 Rxf1+ 4.Kxf1 Bxh3 5.Kf2 Bxg2 6.Ke3 Kxh7 7.Kf4 Kxh6
>8.Kg4 Bh3+ 9.Kf3 Kxh5 10.Kg3 Bf5
>  =  (0.16)   Depth: 12/25   00:00:02  1267kN
>1...Ra1+ 2.Bd1 Rxd1+ 3.Rf1 Rxf1+ 4.Kxf1 Bxh3 5.Kf2 Bxg2 6.Ke3 Kxh7 7.Kf4 Kxh6
>8.Kg4 Bh3+ 9.Kf3 Bg2+ 10.Kg3 Kxh5 11.Kf2
>  =  (0.15)   Depth: 13/25   00:00:02  2132kN
>1...Ra1+ 2.Bd1 Rxd1+ 3.Rf1 Rxf1+ 4.Kxf1 Bxh3 5.Kf2 Bxg2 6.Ke3 Kxh7 7.Kf4 Kxh6
>8.Kg4 Bh3+ 9.Kf3 Bg2+ 10.Kg3 Kxh5 11.Kf2
>  =  (0.15)   Depth: 13/27   00:00:03  2321kN
>1...Ra1+ 2.Bd1 Rxd1+ 3.Rf1 Rxf1+ 4.Kxf1 Bxh3 5.Kf2 Bxg2 6.Ke3 Kxh7 7.Kf4 Kxh6
>8.Kg4 Bh3+ 9.Kf3 Bg2+ 10.Kg3 Kxh5 11.Kf2 Kxh4
>  =  (0.15)   Depth: 14/27   00:00:03  3791kN
>1...Ra1+ 2.Bd1 Rxd1+ 3.Rf1 Rxf1+ 4.Kxf1 Bxh3 5.Kf2 Bxg2 6.Ke3 Kxh7 7.Kf4 Kxh6
>8.Kg4 Bh3+ 9.Kf3 Bg2+ 10.Kg3 Kxh5 11.Kf2 Kxh4
>  =  (0.15)   Depth: 14/30   00:00:04  4043kN
>1...Ra1+ 2.Bd1 Rxd1+ 3.Rf1 Rxf1+ 4.Kxf1 Bxh3 5.Kf2 Bxg2 6.Ke3 Kxh7 7.Kf4 Kxh6
>8.Kg4 Bh3+ 9.Kf3 Bg2+ 10.Kg3 Kxh5 11.Kf2 Kxh4 12.Kg1 Kh3
>  =  (0.14)   Depth: 15/31   00:00:05  6569kN
>1...Ra1+ 2.Bd1 Rxd1+ 3.Rf1 Rxf1+ 4.Kxf1 Bxh3 5.Kf2 Bxg2 6.Ke3 Kxh7 7.Kf4 Kxh6
>8.Kg4 Bh3+ 9.Kf3 Bg2+ 10.Kg3 Kxh5 11.Kf2 Kxh4 12.Kg1 Kh3
>  =  (0.14)   Depth: 15/31   00:00:06  7090kN
>1...Ra1+ 2.Bd1 Rxd1+ 3.Rf1 Rxf1+ 4.Kxf1 Bxh3 5.Kf2 Bxg2 6.Ke3 Kxh7 7.Kf4 Kxh6
>8.Kg4 Bf3+ 9.Kg3 Kxh5 10.Kf2 Kxh4 11.Kf1 Kh3 12.Kg1 Bg2 13.Kf2 Kxh2
>  =  (0.00)   Depth: 16/32   00:00:08  10803kN
>1...Ra1+ 2.Bd1 Rxd1+ 3.Rf1 Rxf1+ 4.Kxf1 Bxh3 5.Kf2 Bxg2 6.Ke3 Kxh7 7.Kf4 Kxh6
>8.Kg4 Bf3+ 9.Kg3 Kxh5 10.Kf2 Kxh4 11.Kf1 Kh3 12.Kg1 Bg2 13.Kf2 Kxh2
>  =  (0.00)   Depth: 16/32   00:00:10  11443kN
>1...Ra1+ 2.Bd1 Rxd1+ 3.Rf1 Rxf1+ 4.Kxf1 Bxh3 5.Kf2 Bxg2 6.Ke3 Kxh7 7.Kf4 Kxh6
>8.Kg4 Bf3+ 9.Kg3 Kxh5 10.Kf2 Kxh4 11.Kf1 Kh3 12.Kg1 Bg2 13.Kf2 Kxh2
>  =  (0.00)   Depth: 17/35   00:00:13  18031kN
>1...Ra1+ 2.Bd1 Rxd1+ 3.Rf1 Rxf1+ 4.Kxf1 Bxh3 5.Kf2 Bxg2 6.Ke3 Kxh7 7.Kf4 Kxh6
>8.Kg4 Bf3+ 9.Kg3 Kxh5 10.Kf2 Kxh4 11.Kf1 Kh3 12.Kg1 Bg2 13.Kf2 Kxh2
>  =  (0.00)   Depth: 17/35   00:00:15  19188kN
>1...Ra1+ 2.Bd1 Rxd1+ 3.Rf1 Rxf1+ 4.Kxf1 Bxh3 5.Kf2 Bxg2 6.Ke3 Kxh7 7.Kf4 Kxh6
>8.Kg4 Bf3+ 9.Kg3 Kxh5 10.h3 Be4 11.Kf4 Bd5 12.Kf5 Bc6 13.Kf6 Bb7 14.Kf7 Ba8
>15.Kg7 Bb7 16.Kh7 Ba8 17.Kh8
>  =  (0.00)   Depth: 18/37   00:00:22  29555kN
>1...Ra1+ 2.Bd1 Rxd1+ 3.Rf1 Rxf1+ 4.Kxf1 Bxh3 5.Kf2 Bxg2 6.Ke3 Kxh7 7.Kf4 Kxh6
>8.Kg4 Bf3+ 9.Kg3 Kxh5 10.h3 Be4 11.Kf4 Bd5 12.Kf5 Bc6 13.Kf6 Bb7 14.Kf7 Ba8
>15.Kg7 Bb7 16.Kh7 Ba8 17.Kh8
>  =  (0.00)   Depth: 18/37   00:00:24  31375kN
>1...Ra1+ 2.Bd1 Rxd1+ 3.Rf1 Rxf1+ 4.Kxf1 Bxh3 5.Kf2 Bxg2 6.Ke3 Kxh7 7.Kf4 Kxh6
>8.Kg4 Bf3+ 9.Kg3 Kxh5 10.h3 Be4 11.Kf4 Bd5 12.Kf5 Bc6 13.Kf6 Bb7 14.Kf7 Ba8
>15.Kg7 Bb7 16.Kh7 Ba8 17.Kh8
>  =  (0.00)   Depth: 19/39   00:00:37  49034kN
>1...Ra1+ 2.Bd1 Rxd1+ 3.Rf1 Rxf1+ 4.Kxf1 Bxh3 5.Kf2 Bxg2 6.Ke3 Kxh7 7.Kf4 Kxh6
>8.Kg4 Bf3+ 9.Kg3 Kxh5 10.h3 Be4 11.Kf4 Bd5 12.Kf5 Bc6 13.Kf6 Bb7 14.Kf7 Ba8
>15.Kg7 Bb7 16.Kh7 Ba8 17.Kh8
>  =  (0.00)   Depth: 19/39   00:00:40  52780kN
>1...Ra1+ 2.Bd1 Rxd1+ 3.Rf1 Rxf1+ 4.Kxf1 Bxh3 5.Kf2 Bxg2 6.Ke3 Kxh7 7.Kf4 Kxh6
>8.Kg4 Bf3+ 9.Kg3 Kxh5 10.h3 Be4 11.Kf4 Bd5 12.Kf5 Bc6 13.Kf6 Bb7 14.Kf7 Ba8
>15.Kg7 Bb7 16.Kh7 Ba8 17.Kh8
>  =  (0.00)   Depth: 20/39   00:01:04  84144kN
>1...Ra1+ 2.Bd1 Rxd1+ 3.Rf1 Rxf1+ 4.Kxf1 Bxh3 5.Kf2 Bxg2 6.Ke3 Kxh7 7.Kf4 Kxh6
>8.Kg4 Bf3+ 9.Kg3 Kxh5 10.h3 Be4 11.Kf4 Bd5 12.Kf5 Bc6 13.Kf6 Bb7 14.Kf7 Ba8
>15.Kg7 Bb7 16.Kh7 Ba8 17.Kh8
>  =  (0.00)   Depth: 20/41   00:01:11  91926kN
>1...Ra1+ 2.Bd1 Rxd1+ 3.Rf1 Rxf1+ 4.Kxf1 Bxh3 5.Kf2 Bxg2 6.Ke3 Kxh7 7.Kf4 Kxh6
>8.Kg4 Bf3+ 9.Kg3 Kxh5 10.h3 Be4 11.Kf4 Bd5 12.Kf5 Bc6 13.Kf6 Bb7 14.Kf7 Ba8
>15.Kg7 Bb7 16.Kh7 Ba8 17.Kh8
>  =  (0.00)   Depth: 21/42   00:01:51  144876kN
>1...Ra1+ 2.Bd1 Rxd1+ 3.Rf1 Rxf1+ 4.Kxf1 Bxh3 5.Kf2 Bxg2 6.Ke3 Kxh7 7.Kf4 Kxh6
>8.Kg4 Bf3+ 9.Kg3 Kxh5 10.h3 Be4 11.Kf4 Bd5 12.Kf5 Bc6 13.Kf6 Bb7 14.Kf7 Ba8
>15.Kg7 Bb7 16.Kh7 Ba8 17.Kh8
>  =  (0.00)   Depth: 21/42   00:02:05  161744kN
>
>(Katz, Eatontown 29.12.2003)
>
>Brian



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