Peter Berger wrote: ↑Mon Mar 21, 2022 7:15 pm
JVMerlino wrote: ↑Mon Mar 21, 2022 7:10 pm
The problem isn't fully defined, so I'm assuming that you're saying that the position is "White to move and WIN" and that the move isn't Bc6, which is what all engines seem to choose with a drawish score.
OK - for the engine users - this might just as well be 41. Bc6 am - Bc6 definitely loses, which is hard to understand for most engines. I hope the definition is better now. You want to draw here, and believe me, it is not all trivial

.
SF agrees with you [position after 1.Bc6? Nxc6! 2.bxc6 Ke8]:
Code: Select all
FEN: 4k3/p7/PpPP2pp/3ppp2/7P/4PKP1/5P2/8 b - - 2 3
Stockfish_22031913_x64_avx2:
NNUE evaluation using nn-6877cd24400e.nnue enabled
1/1 00:00 174 174k +2,46 3.c6-c7
2/2 00:00 673 673k +2,37 3.Kg2-g1 Ke8-d8
3/3 00:00 3k 1.467k +1,19 3.Kg2-g1 h6-h5 4.g3-g4
4/5 00:00 7k 3.317k +0,33 3.Kg2-g1 b6-b5 4.e3-e4 f5xe4 5.h4-h5
5/7 00:00 14k 6.838k +0,43 3.Kg2-g1 b6-b5 4.e3-e4 b5-b4 5.e4xd5 b4-b3
6/8 00:00 41k 13.520k -0,15 3.Kg2-h1 b6-b5 4.h4-h5 g6xh5 5.f2-f4 e5-e4 6.g3-g4
7/8 00:00 98k 19.579k -0,70 3.Kg2-g1 b6-b5 4.f2-f4 e5xf4 5.g3-g4 b5-b4 6.e3xf4 f5xg4
8/11 00:00 218k 21.825k -1,03 3.Kg2-g1 b6-b5 4.f2-f4 e5xf4 5.g3-g4 b5-b4 6.e3xf4 b4-b3
9/12 00:00 444k 24.655k -1,55 3.Kg2-h2 b6-b5 4.f2-f4 e5xf4 5.e3xf4 b5-b4 6.c6-c7 Ke8-d7 7.h4-h5 g6xh5
10/14 00:00 1.008k 28.003k -1,50 3.f2-f3 b6-b5 4.g3-g4 f5xg4 5.f3xg4 b5-b4 6.g4-g5 h6xg5 7.c6-c7 Ke8-d7
11/16 00:00 2.139k 28.525k -4,30 3.f2-f3 b6-b5 4.f3-f4 e5xf4 5.g3-g4 f5xg4 6.e3xf4 h6-h5 7.Kg2-f1 b5-b4 8.c6-c7 Ke8-d7 9.Kf1-g1 b4-b3
12/21 00:00 4.380k 25.762k -6,16 3.e3-e4 d5xe4 4.h4-h5 g6xh5 5.c6-c7 Ke8-d7 6.Kg2-g1 b6-b5 7.Kg1-h1 e4-e3 8.f2xe3 b5-b4
13/19 00:00 5.249k 24.995k -6,00 3.e3-e4 d5xe4 4.h4-h5 g6xh5 5.Kg2-h3 b6-b5 6.Kh3-h4 b5-b4 7.Kh4xh5 b4-b3 8.d6-d7+ Ke8-d8 9.Kh5-g6 e4-e3 10.f2xe3 b3-b2 11.Kg6-f6 b2-b1D 12.Kf6-e6 Db1-b3+ 13.Ke6xf5 Db3xe3
14/22 00:00 6.441k 24.123k -6,88 3.Kg2-h2 b6-b5 4.c6-c7 Ke8-d7 5.h4-h5 g6xh5 6.Kh2-h3 b5-b4 7.f2-f4 e5-e4 8.Kh3-h4 d5-d4 9.e3xd4 e4-e3
15/18 00:00 9.093k 22.733k -6,80 3.f2-f3 b6-b5 4.g3-g4 f5xg4 5.h4-h5 g4xf3+ 6.Kg2xf3 g6xh5 7.Kf3-g3 b5-b4 8.Kg3-h4 b4-b3 9.Kh4xh5 d5-d4 10.Kh5-g6
16/23 00:00 13.816k 22.176k -7,23 3.f2-f3 b6-b5 4.g3-g4 f5xg4 5.Kg2-g3 b5-b4 6.Kg3xg4 b4-b3 7.h4-h5 b3-b2 8.h5xg6 b2-b1D 9.e3-e4 Db1-g1+ 10.Kg4-f5 d5-d4 11.c6-c7 Ke8-d7 12.Kf5-f6 d4-d3 13.g6-g7 d3-d2 14.c7-c8D+ Kd7xc8 15.g7-g8D+ Dg1xg8
17/29 00:01 26.361k 21.786k -6,23 3.d6-d7+ Ke8-d8 4.f2-f4 e5-e4 5.Kg2-h3 h6-h5 6.g3-g4 f5xg4+ 7.Kh3-g2 b6-b5 8.Kg2-g3 d5-d4 9.e3xd4 e4-e3 10.d4-d5 b5-b4 11.f4-f5 e3-e2 12.Kg3-g2 e2-e1D
18/32 00:02 59.416k 20.488k -1,57 3.Kg2-f3 b6-b5 4.g3-g4 h6-h5 5.d6-d7+ Ke8-d8 6.g4-g5 b5-b4 7.Kf3-e2 d5-d4 8.Ke2-d3 d4xe3 9.Kd3xe3 e5-e4 10.Ke3-d4 b4-b3 11.Kd4-c3 f5-f4 12.Kc3xb3 e4-e3 13.f2xe3 f4-f3
19/32- 00:03 61.484k 20.433k -2,41 3.Kg2-f3 b6-b5
19/32- 00:03 61.621k 20.425k -2,65 3.Kg2-f3 b6-b5
19/32- 00:03 70.325k 20.408k -6,31 3.Kg2-f3 b6-b5
19/32+ 00:03 75.774k 20.369k -5,40 3.Kg2-f3
19/32 00:03 76.365k 20.364k -5,38 3.Kg2-f3 b6-b5 4.g3-g4 h6-h5 5.d6-d7+ Ke8-d8 6.g4-g5 b5-b4 7.Kf3-e2 d5-d4 8.e3xd4 e5-e4 9.Ke2-d2 f5-f4 10.d4-d5 b4-b3 11.Kd2-c3 e4-e3 12.f2xe3 f4xe3 13.Kc3xb3 e3-e2 14.d5-d6 e2-e1D 15.c6-c7+ Kd8xd7
20/30+ 00:03 79.798k 20.320k -5,03 3.Kg2-f3
20/30+ 00:03 79.821k 20.321k -4,63 3.Kg2-f3
20/30+ 00:03 79.941k 20.310k -0,34 3.Kg2-f3
20/30 00:03 79.968k 20.307k 0,00 3.Kg2-f3 b6-b5 4.g3-g4 h6-h5 5.g4-g5 b5-b4 6.Kf3-e2 e5-e4 7.Ke2-d2 Ke8-d8 8.Kd2-c1 d5-d4 9.Kc1-c2 f5-f4 10.e3xf4
21/24- 00:04 82.334k 20.309k -0,38 3.Kg2-f3 b6-b5
21/24- 00:04 83.094k 20.321k -0,47 3.Kg2-f3 b6-b5
21/32- 00:05 118.657k 20.901k -7,49 3.Kg2-f3 b6-b5
21/32 00:07 155.240k 20.857k -7,58 3.Kg2-f3 b6-b5 4.c6-c7 Ke8-d7 5.g3-g4 h6-h5 6.g4xf5 g6xf5 7.Kf3-e2 e5-e4 8.Ke2-d1 b5-b4 9.Kd1-d2 d5-d4 10.e3xd4 f5-f4 11.f2-f3 e4-e3+ 12.Kd2-d3 b4-b3 13.Kd3-c3 e3-e2 14.Kc3xb3 e2-e1D 15.c7-c8L+ Kd7xc8 16.d6-d7+ Kc8-c7
22/33- 00:13 275.598k 20.639k -7,97 3.Kg2-f3 b6-b5
22/34 00:19 407.836k 20.652k -8,49 3.Kg2-f3 b6-b5 4.g3-g4 h6-h5 5.g4-g5 b5-b4 6.Kf3-e2 d5-d4 7.Ke2-d3 d4xe3 8.f2xe3 f5-f4 9.Kd3-d2 f4-f3 10.Kd2-c2 f3-f2 11.Kc2-d2 f2-f1D 12.e3-e4 Df1-c4 13.d6-d7+ Ke8-d8 14.Kd2-d1 b4-b3
23/28+ 00:22 462.679k 20.735k -7,33 3.Kg2-f3
23/33 00:27 578.499k 20.788k -8,48 3.Kg2-f3 b6-b5 4.d6-d7+ Ke8-d8 5.Kf3-e2 e5-e4 6.Ke2-d2 d5-d4 7.e3xd4 b5-b4 8.c6-c7+ Kd8xd7 9.Kd2-c1 Kd7xc7 10.Kc1-b2 Kc7-d6 11.h4-h5 g6xh5 12.Kb2-b3 Kd6-d5 13.Kb3-a4 Kd5xd4 14.Ka4xb4
24/31- 00:32 680.890k 20.823k -9,00 3.Kg2-f3 b6-b5
24/35 00:50 1.053.952k 21.061k -9,76 3.Kg2-f3 b6-b5 4.g3-g4 h6-h5 5.Kf3-e2 h5xg4 6.Ke2-d2 b5-b4 7.Kd2-d3 Ke8-d8 8.Kd3-e2 f5-f4 9.f2-f3 g4-g3 10.Ke2-e1 f4xe3 11.Ke1-e2 g3-g2 12.Ke2xe3 g2-g1D+ 13.Ke3-d2 Dg1-f2+ 14.Kd2-d3 Df2xf3+ 15.Kd3-d2 Df3-c3+ 16.Kd2-e2 b4-b3
25/34+ 00:58 1.245.809k 21.163k -8,35 3.Kg2-f3
25/34+ 00:58 1.246.187k 21.163k -6,70 3.Kg2-f3
25/36 01:00 1.287.657k 21.152k -7,67 3.Kg2-f3 b6-b5 4.Kf3-e2 e5-e4 5.Ke2-d2 d5-d4 6.Kd2-c2 g6-g5 7.e3xd4 g5xh4 8.c6-c7 Ke8-d7 9.g3xh4 b5-b4 10.h4-h5 f5-f4 11.f2-f3 e4-e3 12.d4-d5 b4-b3+ 13.Kc2-d3 b3-b2 14.Kd3-c2 e3-e2 15.Kc2xb2
26/26- 01:11 1.517.740k 21.292k -8,26 3.Kg2-f3 b6-b5
26/32- 01:15 1.596.797k 21.281k -8,96 3.Kg2-f3 b6-b5
26/41- 01:35 2.035.302k 21.258k -10,95 3.Kg2-f3 b6-b5
26/41+ 02:36 3.314.460k 21.168k -9,89 3.Kg2-f3
26/41 03:27 4.429.817k 21.345k -12,15 3.Kg2-f3 b6-b5 4.d6-d7+ Ke8-d8 5.g3-g4 h6-h5 6.Kf3-e2 h5xg4 7.Ke2-d2 b5-b4 8.Kd2-d3 b4-b3 9.Kd3-c3 f5-f4 10.e3-e4 d5xe4 11.Kc3-c4 b3-b2 12.Kc4-d5 b2-b1D 13.Kd5-e6 Db1-b6 14.f2-f3 e4-e3 15.Ke6-f7 e3-e2 16.c6-c7+ Db6xc7
27/44 05:17 6.849.633k 21.597k -12,46 3.Kg2-f3 b6-b5 4.Kf3-e2 e5-e4 5.Ke2-d2 d5-d4 6.Kd2-d1 b5-b4 7.Kd1-c1 g6-g5 8.h4-h5 d4xe3 9.f2xe3 f5-f4 10.e3xf4 g5xf4 11.g3-g4 f4-f3 12.Kc1-d1 b4-b3 13.g4-g5 b3-b2 14.Kd1-c2 f3-f2 15.Kc2xb2 f2-f1D 16.g5xh6 Df1-f6+ 17.Kb2-b1 e4-e3 18.Kb1-c2 e3-e2
28/39+ 06:37 8.665.549k 21.819k -10,41 3.Kg2-f3
28/39+ 06:37 8.666.184k 21.819k -8,74 3.Kg2-f3
28/39+ 06:37 8.666.241k 21.819k -6,56 3.Kg2-f3
28/39 07:14 9.493.969k 21.862k -13,62 3.Kg2-h3 b6-b5 4.h4-h5 g6xh5 5.Kh3-h4 d5-d4 6.e3-e4 f5xe4 7.Kh4-h3 d4-d3 8.Kh3-g2 d3-d2 9.c6-c7 Ke8-d7 10.f2-f4 e4xf3/ep+ 11.Kg2xf3 d2-d1T 12.Kf3-e2 Td1xd6 13.c7-c8L+ Kd7xc8 14.Ke2-f2 b5-b4
29/34- 09:08 12.072.813k 22.011k -15,10 3.Kg2-h3 b6-b5
29/34 10:03 13.336.290k 22.093k -15,10 3.Kg2-h3 b6-b5
27/38 10:03 13.336.290k 22.093k -15,61 3.Kg2-f3 b6-b5
im not sure why exactely the engines struggle with your position (thx for posting, do u have a source?)
1. i think the involved zugzwang is a problem
2. the line is pretty long, so id call it a sort of horizon-effect (especially with the zugzwang beeing always a key)
3. the position looks easy for humans when he spotted the right plan [i play b5, let the white king care about him and when he is far enough away ill through in the pawn-majority on the kingside and gonna queen]...but he has to calculate very precisely (at least i fell into some inaccuracies myself as usual)...since the computer does not make any plans, it has to calculate pretty deep and over a wide area
Wahrheiten sind Illusionen von denen wir aber vergessen haben dass sie welche sind.