Author: Olaf Jenkner
Date: 08:18:15 04/13/01
[D]3B4/1r2p3/r2p1p2/bkp1P1p1/1p1P1PPp/p1P4P/PP1K4/3B4 w - - 1 0
Since some years I try to solve this study with Crafty.
Because the study is too hard for computers, I test the position
after the first 4 moves: 1.Bxa4+ Kxa4 2.b3+ Kb5 3.c4+ Kc6 4.d5+ Kd7
This is a part of my posting in August 2000:
***************************************************
Analysis with Crafty 17.10
The computer does not have to see the draw to solve this study.
The solution can be found, when all other moves give a worse
evaluation.
To find the value of the drawn position I analysed the position
after 1.Bxa4+ Kxa4 2.b3+ Kb5 3.c4+ Kc6 4.d5+ Kd7 5.e6+ Kxd8 :
10 4.58 -13.58 1. Ke3 Kc7 2. Ke4 Ra8 3. Kf5 Rg8 4. Ke4 Bb6 5. fxg5 fxg5 6.
Kf5
10-> 4.61 -13.58 1. Ke3 Kc7 2. Ke4 Ra8 3. Kf5 Rg8 4. Ke4 Bb6 5. fxg5 fxg5 6.
Kf5
11 11.03 -13.62 1. Ke3 Kc7 2. Ke4 Ra8 3. Kf5 Rg8 4. Ke4 Bb6 5. fxg5 fxg5
6. Kf5 Rg7
11-> 11.46 -13.62 1. Ke3 Kc7 2. Ke4 Ra8 3. Kf5 Rg8 4. Ke4 Bb6 5. fxg5 fxg5
6. Kf5 Rg7
12 26.06 -13.69 1. Ke3 Kc7 2. Ke4 Ra8 3. Kf5 Rg8 4. Ke4 Rbb8 5. Ke3 Rbf8
6. f5 <HT>
12-> 26.32 -13.69 1. Ke3 Kc7 2. Ke4 Ra8 3. Kf5 Rg8 4. Ke4 Rbb8 5. Ke3 Rbf8
6. f5 <HT>
13 1:10 -14.01 1. Ke3 gxf4+ 2. Kxf4 Ra8 3. Ke4 Kc7 4. Kf3 Rg8 5. Kf2 Rbb8
6. Ke1 f5 7. gxf5 Rbf8 8. Kd2 Rxf5
13 1:17 -13.72 1. f5 Kc7 2. Ke3 Ra8 3. Ke4 Rg8 4. Kf3 Bb6 5. Ke4 Rf8
6. Kf3 Rd8 7. Ke4
13-> 1:17 -13.72 1. f5 Kc7 2. Ke3 Ra8 3. Ke4 Rg8 4. Kf3 Bb6 5. Ke4 Rf8
6. Kf3 Rd8 7. Ke4
14 1:23 -13.72 1. f5 Kc7 2. Ke3 Ra8 3. Ke4 Rg8 4. Kf3 Bb6 5. Ke4 Rf8
6. Kf3 Rd8 7. Ke4 Re8
14-> 1:23 -13.72 1. f5 Kc7 2. Ke3 Ra8 3. Ke4 Rg8 4. Kf3 Bb6 5. Ke4 Rf8
6. Kf3 Rd8 7. Ke4 Re8
15 1:36 -13.73 1. f5 Kc7 2. Ke3 Ra8 3. Ke4 Bb6 4. Kf3 Rbb8 5. Ke4 Rg8
6. Ke3 Rgf8 7. Ke4 Rad8 8. Ke3
15-> 1:38 -13.73 1. f5 Kc7 2. Ke3 Ra8 3. Ke4 Bb6 4. Kf3 Rbb8 5. Ke4 Rg8
6. Ke3 Rgf8 7. Ke4 Rad8 8. Ke3
16 2:00 -13.75 1. f5 Kc7 2. Ke3 Ra8 3. Ke4 Bb6 4. Kf3 Rbb8 5. Ke4 Rg8
6. Ke3 Rgf8 7. Ke4 Rad8 8. Ke3 Rfe8
16-> 2:06 -13.75 1. f5 Kc7 2. Ke3 Ra8 3. Ke4 Bb6 4. Kf3 Rbb8 5. Ke4 Rg8
6. Ke3 Rgf8 7. Ke4 Rad8 8. Ke3 Rfe8
It takes 13 plies to get a worse evaluation then -13.7 (which means draw).
Now when the value of the draw is known, I analysed the position
after 1.Bxa4+ Kxa4 2.b3+ Kb5 3.c4+ Kc6 4.d5+ Kd7 :
10 1.64 -9.07 1. exf6 exf6 2. Bxf6 gxf4 3. Bxh4 Ra8 4. Bf2 Rg8 5. Ke2 Rg5
6. Kf3
10-> 1.77 -9.07 1. exf6 exf6 2. Bxf6 gxf4 3. Bxh4 Ra8 4. Bf2 Rg8 5. Ke2 Rg5
6. Kf3
11 4.65 -9.28 1. exf6 exf6 2. Bxf6 gxf4 3. Bg5 Ra8 4. Bxf4 Rf8 5. Ke3
Re8+
6. Kd3 Bb6 7. Bg5
11-> 4.85 -9.28 1. exf6 exf6 2. Bxf6 gxf4 3. Bg5 Ra8 4. Bxf4 Rf8 5. Ke3
Re8+
6. Kd3 Bb6 7. Bg5
12 13.75 -9.23 1. exf6 exf6 2. Bxf6 gxf4 3. Bxh4 Ra8 4. Bg5 f3 5. Ke3 Rf8
6. Kf2 Bd8 7. Bxd8 Kxd8
12-> 14.32 -9.23 1. exf6 exf6 2. Bxf6 gxf4 3. Bxh4 Ra8 4. Bg5 f3 5. Ke3 Rf8
6. Kf2 Bd8 7. Bxd8 Kxd8
13 22.93 -- 1. exf6
13 39.29 -10.11 1. exf6 Ke8 2. Bxe7 gxf4 3. Kd3 Rxe7 4. fxe7 Ra7 5. Ke2
Rxe7+
6. Kf2 Re3 7. g5 Rxb3 8. Kg2
13-> 41.82 -10.11 1. exf6 Ke8 2. Bxe7 gxf4 3. Kd3 Rxe7 4. fxe7 Ra7 5. Ke2
Rxe7+
6. Kf2 Re3 7. g5 Rxb3 8. Kg2
14 43.65 -- 1. exf6
14 1:45 -10.88 1. exf6 Ke8 2. Bxe7 gxf4 3. g5 Rxe7 4. fxe7 Ra7 5. Ke2
Rxe7+
6. Kf2 Re3 7. g6 Rxh3 8. Ke1 Rxb3
14-> 2:03 -10.88 1. exf6 Ke8 2. Bxe7 gxf4 3. g5 Rxe7 4. fxe7 Ra7 5. Ke2
Rxe7+
6. Kf2 Re3 7. g6 Rxh3 8. Ke1 Rxb3
15 2:05 -- 1. exf6
15 6:06 -11.37 1. exf6 Ke8 2. f7+ Kxf7 3. Bxa5 gxf4 4. Bd8 Kf6 5. Ke2 Ra8
6. Kf3 Kg5 7. Bxe7+ Rxe7 8. Kf2 Re3 9. Kg2
15-> 7:18 -11.37 1. exf6 Ke8 2. f7+ Kxf7 3. Bxa5 gxf4 4. Bd8 Kf6 5. Ke2 Ra8
6. Kf3 Kg5 7. Bxe7+ Rxe7 8. Kf2 Re3 9. Kg2
16 19:14 -11.61 1. exf6 Ke8 2. f7+ Kxf7 3. Bxa5 gxf4 4. Bd8 Kf6 5. Ke2 Rd7
6. Kf3 Kg5 7. Bc7 Rxc7 8. Ke4 Rb6 9. Kf3
16-> 20:11 -11.61 1. exf6 Ke8 2. f7+ Kxf7 3. Bxa5 gxf4 4. Bd8 Kf6 5. Ke2 Rd7
6. Kf3 Kg5 7. Bc7 Rxc7 8. Ke4 Rb6 9. Kf3
17 20:28 -- 1. exf6
17 89:06 -12.31 1. exf6 Ke8 2. f7+ Kxf7 3. Bxa5 Rxa5 4. f5 Kf6 5. Ke2 Ke5
6. Ke1 Ra8 7. Kf1 Kd4 8. Ke2 <HT>
17-> 96:58 -12.31 1. exf6 Ke8 2. f7+ Kxf7 3. Bxa5 Rxa5 4. f5 Kf6 5. Ke2 Ke5
6. Ke1 Ra8 7. Kf1 Kd4 8. Ke2 <HT>
18 98:08 -- 1. exf6
18 277:16 -14.69 1. exf6 Ke8 2. Bxe7 gxf4 3. Ke2 Rxe7+ 4. fxe7 Ra7 5. Kf3
Rxe7
6. g5 Kf8 7. Kxf4 Re2 8. Kg4 Rxa2 9. Kxh4 Rb2 10. g6 Rxb3
18 692:55 ++ 1. Bxa5!!
18 866:47 -12.82 1. Bxa5 dxe5 2. f5 Rxa5 3. Kd3 Kd6 4. Ke4 Rd7 5. Kd3 Raa7
6. Ke2 Rac7 7. Ke3 Rb7 8. Kd3 Rb6 9. Ke3 Rd8
18-> 872:25 -12.82 1. Bxa5 dxe5 2. f5 Rxa5 3. Kd3 Kd6 4. Ke4 Rd7 5. Kd3 Raa7
6. Ke2 Rac7 7. Ke3 Rb7 8. Kd3 Rb6 9. Ke3 Rd8
Crafty needs 18 plies to realize, that 1.exf5 is worse then 13.7 .
Of course 1.Bxa5 loses also, but it is beyond the horizon.
It's disappointing, that after 14 hours Crafty does not see the loss after Bxa5.
End of my posting in August 2000
***************************************************
Meanwhile I analysed with Crafty 17.13:
10 1.32 -9.07 1. exf6 exf6 2. Bxf6 gxf4 3. Bxh4 Ra8 4. Bf2 Rg8 5. Ke2 Rg5
6. Kf3
10-> 1.41 -9.07 1. exf6 exf6 2. Bxf6 gxf4 3. Bxh4 Ra8 4. Bf2 Rg8 5. Ke2 Rg5
6. Kf3
11 3.53 -9.28 1. exf6 exf6 2. Bxf6 gxf4 3. Bg5 Ra8 4. Bxf4 Rf8 5. Ke3
Re8+
6. Kd3 Bb6 7. Bg5
11-> 3.69 -9.28 1. exf6 exf6 2. Bxf6 gxf4 3. Bg5 Ra8 4. Bxf4 Rf8 5. Ke3
Re8+
6. Kd3 Bb6 7. Bg5
12 10.77 -9.23 1. exf6 exf6 2. Bxf6 gxf4 3. Bxh4 Ra8 4. Bg5 f3 5. Ke3 Rf8
6. Kf2 Bd8 7.Bxd8 Kxd8
12-> 11.25 -9.23 1. exf6 exf6 2. Bxf6 gxf4 3. Bxh4 Ra8 4. Bg5 f3 5. Ke3 Rf8
6. Kf2 Bd8 7.Bxd8 Kxd8
13 17.92 -- 1. exf6
13 33.01 -10.08 1. exf6 Ke8 2. Bxe7 gxf4 3. Kd3 Rxe7 4. fxe7 Ra7 5. Ke2
Rxe7+
6. Kf2 Re3 7. g5 Rxb3 8. Kg2
13-> 35.15 -10.08 1. exf6 Ke8 2. Bxe7 gxf4 3. Kd3 Rxe7 4. fxe7 Ra7 5. Ke2
Rxe7+
6. Kf2 Re3 7. g5 Rxb3 8. Kg2
14 36.02 -- 1. exf6
14 1:29 -10.88 1. exf6 Ke8 2. Bxe7 gxf4 3. g5 Rxe7 4. fxe7 Ra7 5. Ke2
Rxe7+
6. Kf2 Re3 7. g6 Rxh3 8. Ke1 Rxb3
14-> 1:45 -10.88 1. exf6 Ke8 2. Bxe7 gxf4 3. g5 Rxe7 4. fxe7 Ra7 5. Ke2
Rxe7+
6. Kf2 Re3 7. g6 Rxh3 8. Ke1 Rxb3
15 1:47 -- 1. exf6
15 5:06 -11.34 1. exf6 Ke8 2. f7+ Kxf7 3. Bxa5 gxf4 4. Bd8 Kf6 5. Ke2 Ra8
6. Kf3 Kg5 7. Bxe7+ Rxe7 8. Kf2 Re3 9. Kg2
15-> 6:12 -11.34 1. exf6 Ke8 2. f7+ Kxf7 3. Bxa5 gxf4 4. Bd8 Kf6 5. Ke2 Ra8
6. Kf3 Kg5 7. Bxe7+ Rxe7 8. Kf2 Re3 9. Kg2
16 16:02 -11.61 1. exf6 Ke8 2. f7+ Kxf7 3. Bxa5 gxf4 4. Bd8 Kf6 5. Ke2 Rd7
6. Kf3 Kg5 7.Bc7 Rxc7 8. Ke4 Rb6 9. Kf3
16-> 16:54 -11.61 1. exf6 Ke8 2. f7+ Kxf7 3. Bxa5 gxf4 4. Bd8 Kf6 5. Ke2 Rd7
6. Kf3 Kg5 7.Bc7 Rxc7 8. Ke4 Rb6 9. Kf3
17 17:08 -- 1. exf6
17 52:47 -13.09 1. exf6 Ke8 2. f7+ Kxf7 3. Bxa5 Rxa5 4. f5 Kf6 5. Ke3 Ke5
6. Kf2 Kd4 7.Kf1 Kc3 8. Kg2 Kb2 9. Kf3 Kxa2 10.Ke4
17 149:45 -12.81 1. Bxa5 dxe5 2. f5 Rxa5 3. Kd3 Ra8 4. Ke4 Kc7 5. Kf3 Rb6
6. Kg2 Kd6 7.Kf3 Rd8 8. Kg2 Rb7 <HT>
17-> 158:51 -12.81 1. Bxa5 dxe5 2. f5 Rxa5 3. Kd3 Ra8 4. Ke4 Kc7 5. Kf3 Rb6
6. Kg2 Kd6 7.Kf3 Rd8 8. Kg2 Rb7 <HT>
18 266:35 -12.90 1. Bxa5 dxe5 2. f5 Rxa5 3. Kd3 Ra8 4. Ke4 Rf8 5. Kf3 Kd6
6. Ke4 Rd7 7.Kf3 Rg8 8. Ke4 Re8 9. Kf3 Red8
18-> 277:30 -12.90 1. Bxa5 dxe5 2. f5 Rxa5 3. Kd3 Ra8 4. Ke4 Rf8 5. Kf3 Kd6
6. Ke4 Rd7 7.Kf3 Rg8 8. Ke4 Re8 9. Kf3 Red8
19 283:37 -- 1. Bxa5
19 970:21 -13.02 1. Bxa5 dxe5 2. f5 Rxa5 3. Ke3 Ra6 4. Ke4 e6 5. fxe6+ Rxe6
6. dxe6+ Kxe6 7. Kf3 Rc7 8. Ke4 Re7 9. Kf3 Rd7 10.Ke2 f5
<HT>
19-> 1001:18 -13.02 1. Bxa5 dxe5 2. f5 Rxa5 3. Ke3 Ra6 4. Ke4 e6 5. fxe6+ Rxe6
6. dxe6+ Kxe6 7. Kf3 Rc7 8. Ke4 Re7 9. Kf3 Rd7 10.Ke2 f5
<HT>
20 1008:30 -- 1. Bxa5
Now Crafty only needs 17 plies to realize, that 1.exf5 is worse then 13.7 .
I was very surprised when I analysed with Crafty 18.7:
10 0.92 -10.92 1. exf6 exf6 2. Bxf6 gxf4 3. Bg5 f3 4. Ke3 Ra8 5. Kxf3 Rf8+
6. Ke4
10-> 1.06 -10.92 1. exf6 exf6 2. Bxf6 gxf4 3. Bg5 f3 4. Ke3 Ra8 5. Kxf3 Rf8+
6. Ke4
11 2.50 -10.86 1. exf6 exf6 2. Bxf6 gxf4 3. Bg5 f3 4. Ke3 Ra8 5. Kxf3 Rf8+
6. Ke4 Re8+ 7. Kf5
11-> 2.70 -10.86 1. exf6 exf6 2. Bxf6 gxf4 3. Bg5 f3 4. Ke3 Ra8 5. Kxf3 Rf8+
6. Ke4 Re8+ 7. Kf5
12 7.45 -10.90 1. exf6 exf6 2. Bxf6 gxf4 3.Bxh4 Ra8 4. Ke2 Rh8 5. Bg5 f3+
6. Kxf3 Rxh3+ 7. Ke4 Rh2
12-> 7.87 -10.90 1. exf6 exf6 2. Bxf6 gxf4 3. Bxh4 Ra8 4. Ke2 Rh8 5. Bg5 f3+
6. Kxf3 Rxh3+ 7. Ke4 Rh2
13 18.35 -10.77 1. exf6 exf6 2. Bxf6 gxf4 3. Bxh4 Ra8 4. Ke2 Rh8 5. Bg5 f3+
6. Kxf3 Rxh3+ 7. Kg2 Rh7 8. Bf6
13-> 19.38 -10.77 1. exf6 exf6 2. Bxf6 gxf4 3. Bxh4 Ra8 4. Ke2 Rh8 5. Bg5 f3+
6. Kxf3 Rxh3+ 7. Kg2 Rh7 8. Bf6
14 56.20 -10.88 1. exf6 exf6 2. Bxf6 gxf4 3. Bxh4 Ra8 4. Ke2 Re8+ 5. Kf3
Rh8
6. Bf2 Rxh3+ 7. Kxf4 Rh2 8. Kg3 Rh1
14-> 59.28 -10.88 1. exf6 exf6 2. Bxf6 gxf4 3. Bxh4 Ra8 4. Ke2 Re8+ 5. Kf3
Rh8
6. Bf2 Rxh3+ 7. Kxf4 Rh2 8. Kg3 Rh1
15 1:02 -- 1. exf6
15 2:56 -11.20 1. exf6 exf6 2. Bxf6 gxf4 3. Bxh4 Ra8 4. Bg5 f3 5. Ke3 Rf8
6. Kf2 Rbb8 7. h4 Rbe8 8. h5
15-> 3:06 -11.20 1. exf6 exf6 2. Bxf6 gxf4 3. Bxh4 Ra8 4. Bg5 f3 5. Ke3 Rf8
6. Kf2 Rbb8 7.h4 Rbe8 8. h5
16 5:46 -- 1. exf6
16 9:23 -11.82 1. exf6 Ke8 2. Bxe7 gxf4 3. g5 Rxe7 4. fxe7 Ra7 5. Ke2
Rxe7+
6. Kf2 Re3 7. g6 Rxh3 8. Kg1 Rg3+ 9. Kf2 Rxg6 10. Kf3
16-> 11:30 -11.82 1. exf6 Ke8 2. Bxe7 gxf4 3. g5 Rxe7 4. fxe7 Ra7 5. Ke2
Rxe7+
6. Kf2 Re3 7. g6 Rxh3 8. Kg1 Rg3+ 9. Kf2 Rxg6 10. Kf3
17 11:43 -- 1. exf6
17 32:00 -13.38 1. exf6 Ke8 2. Bxe7 gxf4 3. Kd3 Rxe7 4. fxe7 Ra7 5. Ke2
Rxe7+
6. Kf2 Re5 7. g5 Rxg5 8. Kf3 Rg3+ 9. Kf2 Rxh3 10. Ke2 Rxb3
17-> 36:31 -13.38 1. exf6 Ke8 2. Bxe7 gxf4 3. Kd3 Rxe7 4. fxe7 Ra7 5. Ke2
Rxe7+
6. Kf2 Re5 7. g5 Rxg5 8. Kf3 Rg3+ 9. Kf2 Rxh3 10. Ke2 Rxb3
18 37:55 -- 1. exf6
18 121:55 -14.01 1. exf6 Ke8 2. f7+ Kxf7 3. Bxa5 gxf4 4. Kd3 Rxa5 5. Ke4 Ra8
6. Kxf4 e5+ 7. Kg5 Rh8 8. Kf5 Rf8 9. g5 Kg7+ 10.Ke4 Rf4+
11. Ke3 Kg6
18 158:41 ++ 1. e6+!!
18 162:35 -13.54 1. e6+ Kxd8 2. f5 Rb8 3. Kc2 Raa8 4.Kd3 Kc7 5. Kd2 Rf8
6. Ke3 Bb6 7. Ke4 Ra5 8. Kf3 Re8 9. Ke4 Ra6 10. Ke3
18-> 163:19 -13.54 1. e6+ Kxd8 2. f5 Rb8 3. Kc2 Raa8 4.Kd3 Kc7 5. Kd2 Rf8
6. Ke3 Bb6 7. Ke4 Ra5 8. Kf3 Re8 9. Ke4 Ra6 10. Ke3
19 174:38 -13.55 1. e6+ Kxd8 2. f5 Rb8 3. Kc2 Raa8 4.Kd3 Kc7 5. Kd2 Rf8
6. Ke3 Bb6 7. Ke4 Rac8 8. Kf3 Rfe8 9. Ke4 Ra8 <HT>
19-> 193:07 -13.55 1. e6+ Kxd8 2. f5 Rb8 3. Kc2 Raa8 4.Kd3 Kc7 5. Kd2 Rf8
6. Ke3 Bb6 7. Ke4 Rac8 8. Kf3 Rfe8 9. Ke4 Ra8 <HT>
20 455:00 -13.50 1. e6+ Kxd8 2. f5 Rb8 3. Kc2 Raa8 4.Kd3 Kc7 5. Kd2 Rf8
6. Ke3 Bb6 7. Ke4 Ra6 8. Kf3 Rh8 9. Ke3 Rh6 10. Ke4 Ra7 11.
Kd3
Crafty 18.7 finds the right move e6+ in ply 18. It reaches this ply in 37
minutes
and gets the solution in 158 min, much faster than Crafty 17.13 (ply 18 in 266
min,
no solution after 17 hours).
Because Crafty solved the position after 4 moves, I now try to get the solution
d5+ of the position after 3 moves. Until now Crafty is running 32 hours and
wants
to play exf6. Maybe I have to wait until Crafty 20 is released.
(Crafty was running on a 333 MHz PII)
Olaf
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