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Subject: Re: Three hard positions Ka6! found

Author: Slater Wold

Date: 16:59:46 09/18/01

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On September 18, 2001 at 13:44:33, Janosch Zwerensky wrote:

>Hi everyone,
>
>I don't expect that currently any program can solve one of these problems given
>less than weeks of reflection time, but I'd like to know anyway what different
>progs say:
>
>
>[D] 8/2k5/1p4R1/1K6/P2b4/8/8/8 w - - 0 1
>
>This one is from the Ham vs. Fritz6 correspondence match. Fritz6 failed to win
>this position, but Ham showed, with the help of others, that it could in fact
>have won, with the strongest move being 1. Ka6! (for details see Ham's analysis
>on white's 56th move in Fritz6 vs. Ham at
>http://correspondencechess.com/campbell/ham/fr_hambl.htm ).
>
>(a) Does any program want to play Ka6 at any reasonable time control?
>(b) Is any program capable of winning this ending against a top chess engine,
>when the latter gets at least a few seconds to choose its moves?

Once again, not reasonable, but found it.  Again, with Crafty:

search time set to 7200.00.
White(1): epdpfga test.epd test.out
PFGA: EPD record: 1   ID: test.1
end-game phase
              clearing hash tables
              time surplus   0.00  time limit 120:00 (120:00)
         nss  depth   time  score   variation (1)
starting thread 1
         (2)    9     0.16   2.57   1. Re6 Kd7 2. Re2 Kc7 3. Rc2+ Kb7 4.
                                    Rd2 Be5 5. Rd7+ Bc7 6. Kb4
                9     0.19   2.83   1. Rc6+ Kb7 2. Rd6 Be3 3. Rd7+ Ka8
                                    4. Kc6 Kb8 5. Rg7 Bd4 6. Rd7 <HT>
         (2)    9->   0.21   2.83   1. Rc6+ Kb7 2. Rd6 Be3 3. Rd7+ Ka8
                                    4. Kc6 Kb8 5. Rg7 Bd4 6. Rd7 <HT>
               10     0.24   2.83   1. Rc6+ Kb7 2. Rd6 Be3 3. Rd7+ Ka8
                                    4. Kc6 Kb8 5. Rg7 Bd4 6. Rd7 <HT>
         (4)   10->   0.30   2.83   1. Rc6+ Kb7 2. Rd6 Be3 3. Rd7+ Ka8
                                    4. Kc6 Kb8 5. Rg7 Bd4 6. Rd7 <HT>
         (3)   11     0.33   2.83   1. Rc6+ Kb7 2. Rd6 Be3 3. Rd7+ Ka8
                                    4. Kc6 Kb8 5. Rg7 Bd4 6. Rd7 <HT>
         (4)   11->   0.47   2.83   1. Rc6+ Kb7 2. Rd6 Be3 3. Rd7+ Ka8
                                    4. Kc6 Kb8 5. Rg7 Bd4 6. Rd7 <HT>
         (3)   12     0.54   2.83   1. Rc6+ Kb7 2. Rd6 Be3 3. Rd7+ Ka8
                                    4. Kc6 Kb8 5. Re7 Bc5 6. Rb7+ Ka8 7.
                                    Rd7 Kb8 8. a5
         (4)   12->   0.72   2.83   1. Rc6+ Kb7 2. Rd6 Be3 3. Rd7+ Ka8
                                    4. Kc6 Kb8 5. Re7 Bc5 6. Rb7+ Ka8 7.
                                    Rd7 Kb8 8. a5
         (3)   13     0.83   2.83   1. Rc6+ Kb7 2. Rd6 Be3 3. Rd7+ Ka8
                                    4. Kc6 Kb8 5. Re7 Bf2 6. Kb5 Bd4 7.
                                    Rd7 Bc5 8. a5
         (4)   13->   1.13   2.83   1. Rc6+ Kb7 2. Rd6 Be3 3. Rd7+ Ka8
                                    4. Kc6 Kb8 5. Re7 Bf2 6. Kb5 Bd4 7.
                                    Rd7 Bc5 8. a5
         (3)   14     1.27   2.83   1. Rc6+ Kb7 2. Rd6 Be3 3. Rd7+ Ka8
                                    4. Kc6 Kb8 5. Re7 Bf2 6. Rb7+ Ka8 7.
                                    Rd7 Kb8 8. Kb5 Bc5 9. a5 <HT>
         (4)   14->   1.97   2.83   1. Rc6+ Kb7 2. Rd6 Be3 3. Rd7+ Ka8
                                    4. Kc6 Kb8 5. Re7 Bf2 6. Rb7+ Ka8 7.
                                    Rd7 Kb8 8. Kb5 Bc5 9. a5 <HT>
         (3)   15     2.24   2.83   1. Rc6+ Kb7 2. Rd6 Be3 3. Rd7+ Ka8
                                    4. Kc6 Kb8 5. Re7 Bf2 6. Rb7+ Ka8 7.
                                    Rd7 Kb8 8. Kb5 Bc5 9. a5 Kc8
         (4)   15->   3.85   2.83   1. Rc6+ Kb7 2. Rd6 Be3 3. Rd7+ Ka8
                                    4. Kc6 Kb8 5. Re7 Bf2 6. Rb7+ Ka8 7.
                                    Rd7 Kb8 8. Kb5 Bc5 9. a5 Kc8
         (3)   16     4.55   2.83   1. Rc6+ Kb7 2. Rd6 Be3 3. Rd7+ Ka8
                                    4. Kc6 Kb8 5. Re7 Bf2 6. Rb7+ Ka8 7.
                                    Rh7 Kb8 8. Kb5 Bg1 9. Rd7 Bc5 10. a5
                                    <HT>
         (4)   16->  14.24   2.83   1. Rc6+ Kb7 2. Rd6 Be3 3. Rd7+ Ka8
                                    4. Kc6 Kb8 5. Re7 Bf2 6. Rb7+ Ka8 7.
                                    Rh7 Kb8 8. Kb5 Bg1 9. Rd7 Bc5 10. a5
                                    <HT>
         (3)   17    15.04   2.83   1. Rc6+ Kb7 2. Rd6 Be3 3. Rd7+ Ka8
                                    4. Kc6 Kb8 5. Re7 Bf2 6. Rb7+ Ka8 7.
                                    Rh7 Kb8 8. Kb5 Bg1 9. Rd7 Bc5 10. a5
                                    Kc8
         (4)   17->  24.04   2.83   1. Rc6+ Kb7 2. Rd6 Be3 3. Rd7+ Ka8
                                    4. Kc6 Kb8 5. Re7 Bf2 6. Rb7+ Ka8 7.
                                    Rh7 Kb8 8. Kb5 Bg1 9. Rd7 Bc5 10. a5
                                    Kc8
         (3)   18    25.16   2.83   1. Rc6+ Kb7 2. Rd6 Be3 3. Rd7+ Ka8
                                    4. Kc6 Kb8 5. Re7 Bf2 6. Rb7+ Ka8 7.
                                    Rh7 Kb8 8. Rg7 Bd4 9. Rb7+ Ka8 10.
                                    Rd7 Be3 11. Kb5 Bc5
         (4)   18->  42.14   2.83   1. Rc6+ Kb7 2. Rd6 Be3 3. Rd7+ Ka8
                                    4. Kc6 Kb8 5. Re7 Bf2 6. Rb7+ Ka8 7.
                                    Rh7 Kb8 8. Rg7 Bd4 9. Rb7+ Ka8 10.
                                    Rd7 Be3 11. Kb5 Bc5
         (3)   19    44.21   2.83   1. Rc6+ Kb7 2. Rd6 Be3 3. Rd7+ Ka8
                                    4. Kc6 Kb8 5. Re7 Bf2 6. Rb7+ Ka8 7.
                                    Rh7 Kb8 8. Rg7 Be3 9. Rb7+ Ka8 10.
                                    Rh7 Bd4 11. Kd5 Bc3 12. Rc7
         (4)   19->   1:08   2.83   1. Rc6+ Kb7 2. Rd6 Be3 3. Rd7+ Ka8
                                    4. Kc6 Kb8 5. Re7 Bf2 6. Rb7+ Ka8 7.
                                    Rh7 Kb8 8. Rg7 Be3 9. Rb7+ Ka8 10.
                                    Rh7 Bd4 11. Kd5 Bc3 12. Rc7
         (3)   20     1:10   2.83   1. Rc6+ Kb7 2. Rd6 Be3 3. Rd7+ Ka8
                                    4. Kc6 Kb8 5. Re7 Bf2 6. Rb7+ Ka8 7.
                                    Rh7 Kb8 8. Rg7 Be3 9. Rb7+ Ka8 10.
                                    Rh7 Bd4 11. Rd7 Be3 12. Kb5 Bc5
         (3)   20->   2:18   2.83   1. Rc6+ Kb7 2. Rd6 Be3 3. Rd7+ Ka8
                                    4. Kc6 Kb8 5. Re7 Bf2 6. Rb7+ Ka8 7.
                                    Rh7 Kb8 8. Rg7 Be3 9. Rb7+ Ka8 10.
                                    Rh7 Bd4 11. Rd7 Be3 12. Kb5 Bc5
         (2)   21     2:22   2.83   1. Rc6+ Kb7 2. Rd6 Be3 3. Rd7+ Ka8
                                    4. Kc6 Kb8 5. Re7 Bf2 6. Rb7+ Ka8 7.
                                    Rh7 Kb8 8. Rg7 Bd4 9. Rb7+ Ka8 10.
                                    Rd7 Be3 11. Kd6 Bd4 12. Kc7 Bc5 13.
                                    Kc6
         (4)   21->   3:42   2.83   1. Rc6+ Kb7 2. Rd6 Be3 3. Rd7+ Ka8
                                    4. Kc6 Kb8 5. Re7 Bf2 6. Rb7+ Ka8 7.
                                    Rh7 Kb8 8. Rg7 Bd4 9. Rb7+ Ka8 10.
                                    Rd7 Be3 11. Kd6 Bd4 12. Kc7 Bc5 13.
                                    Kc6
         (3)   22     3:50   2.83   1. Rc6+ Kb7 2. Rd6 Be3 3. Rd7+ Ka8
                                    4. Kc6 Kb8 5. Re7 Bf2 6. Rb7+ Ka8 7.
                                    Rh7 Kb8 8. Rg7 Bd4 9. Rb7+ Ka8 10.
                                    Rd7 Be3 11. Re7 Bg1 12. Kb5 Bd4 13.
                                    Kc4 Bc5
         (3)   22->   5:36   2.83   1. Rc6+ Kb7 2. Rd6 Be3 3. Rd7+ Ka8
                                    4. Kc6 Kb8 5. Re7 Bf2 6. Rb7+ Ka8 7.
                                    Rh7 Kb8 8. Rg7 Bd4 9. Rb7+ Ka8 10.
                                    Rd7 Be3 11. Re7 Bg1 12. Kb5 Bd4 13.
                                    Kc4 Bc5
         (2)   23     5:49   2.83   1. Rc6+ Kb7 2. Rd6 Be3 3. Rd7+ Ka8
                                    4. Kc6 Kb8 5. Re7 Bf2 6. Rb7+ Ka8 7.
                                    Rh7 Kb8 8. Rg7 Bd4 9. Rb7+ Ka8 10.
                                    Rd7 Be3 11. Rd8+ Ka7 12. Kb5 Kb7 13.
                                    Rd3 Bf2 14. Rd7+ Ka8 15. Kc6 Bc5
               23    10:49     ++   1. Ka6!!
               23    10:50   3.23   1. Ka6 Bf2 2. Rg5 Kb8 3. Rb5 Kc8 4.
                                    Ka7 Bd4 5. Rb4 Bf2 6. Rc4+ Kd7 7. Kb7
                                    Bg1 8. Rc7+ Kd6 9. Rh7 Ke6 10. Ka6
                                    Kf5 11. Rh6 Bd4 12. Rxb6 Ke4 13. Rd6
         (4)   23->  11:00   3.23   1. Ka6 Bf2 2. Rg5 Kb8 3. Rb5 Kc8 4.
                                    Ka7 Bd4 5. Rb4 Bf2 6. Rc4+ Kd7 7. Kb7
                                    Bg1 8. Rc7+ Kd6 9. Rh7 Ke6 10. Ka6
                                    Kf5 11. Rh6 Bd4 12. Rxb6 Ke4 13. Rd6
               24    12:26     ++   1. Ka6!!
         (3)   24    12:47   3.63   1. Ka6 Bf2 2. Rg5 Kb8 3. Rb5 Kc8 4.
                                    Rf5 Bd4 5. Rf8+ Kc7 6. Rf4 Bg1 7. Rf7+
                                    Kc6 8. Rh7 Bc5 9. Rh8 Bg1 10. Rc8+
                                    Kd5 11. Rd8+ Kc4 12. Rb8 Kb3 13. a5
                                    Bh2 14. Rb7 Be5 15. axb6


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