idea to estimate the percentage of drawn positions in chess

[Uri Blass]

third position is already a mate.

4th position is harder but slowchess see a big score against white
The positions are tactical so I tend to believe engine's scores.

[d]B2qbn2/3k3N/1bpqR3/rrQ5/1p1b3N/3K1R2/Q2n1B2/1B2b1rb w - - 0 1

Slow64-avx2 [001]:
2/3 00:00 730 0 +6.60 Qc5xd6+ Kd7-c8 Qd6xd8+ Kc8xd8 Re6xe8+ Kd8xe8 Rf3xf8+
3/5 00:00 6k 553k -10.67 Qc5xd6+ Kd7-c8 Re6xe8 Qd8xe8 Rf3xf8
3/5 00:00 6k 640k +5.20 Re6xd6+ Kd7-c7 Rd6xc6+ Kc7-b8
4/5- 00:00 9k 861k +4.69 Re6xd6+ Kd7-c7
4/7- 00:00 14k 1,431k +3.67 Re6xd6+ Kd7-c7
4/7- 00:00 20k 1,954k +1.63 Re6xd6+ Kd7-c7
4/7+ 00:00 20k 2,001k +6.20 Qc5xd6+
4/7- 00:00 21k 2,104k +1.63 Qc5xd6+ Kd7-c8
4/7 00:00 27k 2,663k +0.32 Qc5xd6+ Kd7-c8 Re6xe8 Qd8xe8 Rf3xf8 Ra5-a3+
4/7+ 00:00 27k 2,678k +5.20 Re6xd6+
4/7 00:00 27k 2,727k +2.60 Re6xd6+ Kd7-c7 Rd6xc6+ Kc7-b8 Rc6xb6+ Rb5xb6
5/8- 00:00 31k 3,140k +2.30 Re6xd6+ Kd7-c7
5/9- 00:00 40k 1,995k +1.70 Re6xd6+ Kd7-c7
5/9- 00:00 51k 2,551k +0.50 Re6xd6+ Kd7-c7
5/9+ 00:00 52k 2,580k +6.20 Qc5xd6+
5/9- 00:00 55k 2,727k +0.50 Qc5xd6+ Kd7-c8
5/9+ 00:00 55k 2,730k +3.33 Re6xd6+
5/9 00:00 55k 2,743k +3.33 Re6xd6+ Kd7-c7 Rd6xc6+ Kc7-b8 Rc6xb6+ Qd8xb6 Qc5xb6+
6/9- 00:00 60k 2,982k +2.98 Re6xd6+ Kd7-c7
6/10- 00:00 71k 3,548k +2.28 Re6xd6+ Kd7-c7
6/10- 00:00 81k 4,054k +0.88 Re6xd6+ Kd7-c7
6/10+ 00:00 91k 3,047k +3.33 Re6xd6+
6/10- 00:00 93k 3,114k -1.92 Re6xd6+ Kd7-c7
6/10+ 00:00 93k 3,116k +6.20 Qc5xd6+
6/10- 00:00 99k 3,302k -1.92 Qc5xd6+ Kd7-c8
6/10+ 00:00 99k 3,306k +4.80 Re6xd6+
6/10- 00:00 100k 3,324k -1.92 Re6xd6+ Kd7-c7
6/10- 00:00 116k 3,854k -7.52 Re6xd6+ Kd7-c7
6/10+ 00:00 116k 3,857k +6.20 Qc5xd6+
6/10 00:00 118k 3,939k -2.92 Qc5xd6+ Kd7-c8 Re6xe8 Qd8xe8 Rf3xf8 Rg1-g3+ Bf2xg3 Bh1-e4+ Kd3-e2 Be4-f3+ Ke2-d3
6/10 00:00 149k 3,718k +1.36 Qc5xd6+ Kd7-c8 Re6xe8 Qd8xe8 Qd6xf8 Ra5-a3+ Qa2xa3 Bh1xf3 Qf8xe8+ Kc8-c7 Bf2xg1
6/10+ 00:00 149k 3,727k +9.60 Re6xd6+
7/11+ 00:00 167k 4,178k +1.63 Qc5xd6+
7/11 00:00 169k 4,237k +1.80 Qc5xd6+ Kd7-c8 Re6xe8 Qd8xe8 Qd6xf8 Bb6-d8 Qf8xe8 Ra5-a3+ Kd3-e2 Bh1xf3+
7/11+ 00:00 170k 4,239k +9.60 Re6xd6+
7/11+ 00:00 170k 4,240k +9.60 Re6xd6+
7/11- 00:00 172k 4,292k +1.11 Re6xd6+ Kd7-c8
7/11+ 00:00 172k 4,299k +1.63 Qc5xd6+
7/11 00:00 173k 4,333k +2.28 Qc5xd6+ Kd7-c8 Re6xe8 Qd8xe8 Qd6xf8 Bb6-d8 Qf8xe8 Ra5-a3+ Qa2xa3 Bh1xf3 Nh4xf3
7/15 00:00 193k 3,861k +2.40 Qc5xd6+ Kd7-c8 Re6xe8 Qd8xe8 Qd6xf8 Ra5-a3+ Qa2xa3 Qe8xf8 Qa3-a6+ Kc8-c7 Qa6-b7+ Kc7-d6 Qb7xc6+ Kd6-e7 Nh7xf8
8/15+ 00:00 203k 4,063k +2.75 Qc5xd6+
8/15+ 00:00 203k 4,066k +3.45 Qc5xd6+
8/15+ 00:00 203k 4,066k +4.85 Qc5xd6+
8/15 00:00 210k 4,200k +2.95 Qc5xd6+ Kd7-c8 Re6xe8 Qd8xe8 Qd6xf8 Ra5-a3+ Qa2xa3 Qe8xf8 Qa3-a6+ Kc8-c7 Qa6-b7+ Kc7-d6 Qb7xc6+
8/19- 00:00 356k 4,445k +2.11 Qc5xd6+ Kd7-c8
8/19+ 00:00 356k 4,448k +8.52 Re6xd6+
8/19+ 00:00 356k 4,448k +8.52 Re6xd6+
8/19- 00:00 357k 4,466k +2.11 Re6xd6+ Kd7-c8
8/19- 00:00 363k 4,537k +1.53 Re6xd6+ Kd7-c8
8/19+ 00:00 363k 4,542k +1.54 Qc5xd6+
8/19- 00:00 386k 4,285k +0.37 Re6xd6+ Kd7-c8
8/19+ 00:00 389k 4,318k +0.38 Qc5xd6+
8/19 00:00 414k 4,603k +0.16 Re6xd6+ Kd7-c8 Rd6xd8+ Bb6xd8 Qc5xf8 Ra5xa2 Bb1xa2 Bh1xf3 Bf2xg1
8/19+ 00:00 415k 4,612k +6.20 Qc5xd6+
8/19+ 00:00 415k 4,613k +6.20 Qc5xd6+
8/19 00:00 420k 4,670k -0.92 Qc5xd6+ Kd7-c8 Re6xe8 Qd8xe8 Qd6xf8 Rb5-e5 Qa2-f7 Ra5-a3+ Kd3-c2 b4-b3+ Rf3xb3 Nd2xb3 Qf7xe8+ Re5xe8 Qf8xe8+
8/19+ 00:00 420k 4,671k +8.52 Re6xd6+
8/19 00:00 433k 4,813k +0.72 Re6xd6+ Kd7-c8 Rd6xd8+ Bb6xd8 Qc5xf8 Ra5xa2 Bb1xa2 Be1xf2 Ba2-e6+ Kc8-b8 Qf8-d6+ Bd8-c7
8/19 00:00 453k 4,528k +0.72 Re6xd6+ Kd7-c8 Rd6xd8+ Bb6xd8 Qc5xf8 Ra5xa2 Bb1xa2 Be1xf2 Ba2-e6+ Kc8-b8 Qf8-d6+ Bd8-c7
9/19+ 00:00 463k 4,630k +0.97 Re6xd6+
9/19+ 00:00 473k 4,729k +3.33 Re6xd6+
9/19- 00:00 476k 4,762k +0.48 Re6xd6+ Kd7-c8
9/19+ 00:00 481k 4,814k +0.49 Qc5xd6+
9/19+ 00:00 482k 4,815k +4.47 Qc5xd6+
9/19- 00:00 485k 4,852k +0.48 Qc5xd6+ Kd7-c8
9/19+ 00:00 492k 4,919k +4.47 Qc5xd6+
9/19 00:00 501k 4,559k +0.12 Qc5xd6+ Kd7-c8 Re6xe8 Qd8xe8 Qd6xf8 Rb5-e5 Qf8xe8+ Re5xe8 Qa2-f7 Ra5-a3+ Kd3-c2 Bh1xf3 Qf7xe8+ Kc8-c7 Nh4xf3
9/19+ 00:00 502k 4,561k +0.32 Re6xd6+
9/19 00:00 510k 4,636k +0.32 Re6xd6+ Kd7-c8 Rd6xd8+ Bb6xd8 Qc5xf8 Ra5xa2 Bb1xa2 Be1xf2 Qf8-d6 b4-b3
9/19- 00:00 574k 4,786k 0.00 Re6xd6+ Kd7-c8
9/19 00:00 907k 4,533k +0.52 Re6xd6+ Kd7-c8 Rd6xd8+ Bb6xd8 Qc5xf8 Ra5xa2 Bb1xa2 Nd2xf3 Bf2xg1 Be1xh4 Qf8xe8 Nf3-e5+ Kd3xd4 Bh4-e7
10/19- 00:00 912k 4,344k +0.28 Re6xd6+ Kd7-c8
10/19+ 00:00 953k 4,540k +0.52 Re6xd6+
10/19+ 00:00 954k 4,544k +3.88 Re6xd6+
10/19 00:00 956k 4,553k +0.52 Re6xd6+ Kd7-c8 Rd6xd8+ Bb6xd8 Qc5xf8 Ra5xa2 Bb1xa2 Be1xf2 Qf8xe8 Bh1xf3 Nh4xf3
10/19 00:00 1,004k 4,562k +0.96 Re6xd6+ Kd7-c8 Rd6xd8+ Bb6xd8 Qc5xf8 Ra5xa2 Bb1xa2 Nd2xf3 Bf2xg1 Be1xh4 Qf8xe8 Nf3-e5+ Kd3xd4 Bh4-e7 Ba2-e6+ Kc8-c7 Bg1-h2
11/22- 00:00 1,074k 4,475k +0.72 Re6xd6+ Kd7-c8
11/22- 00:00 1,092k 4,549k +0.24 Re6xd6+ Kd7-c8
11/22 00:00 1,261k 4,504k -0.48 Re6xd6+ Kd7-c8 Rd6xd8+ Bb6xd8 Qc5xf8 Ra5xa2 Bb1xa2 Nd2xf3 Bf2xg1 Nf3-e5+ Kd3-e2 Bd4xg1 Ba2-e6+ Kc8-b8 Nh4-f5 Bh1-f3+ Ke2xe1 b4-b3 Qf8xe8 Kb8-c7
11/22+ 00:00 1,280k 4,571k -0.47 Qc5xd6+
11/22+ 00:00 1,280k 4,572k +4.10 Qc5xd6+
11/22- 00:00 1,303k 4,492k -0.72 Qc5xd6+ Kd7-c8
11/22+ 00:00 1,305k 4,499k -0.71 Re6xd6+
11/22 00:00 1,316k 4,538k -0.48 Re6xd6+ Kd7-c8 Rd6xd8+ Bb6xd8 Qc5xf8 Ra5xa2 Bb1xa2 Nd2xf3 Bf2xg1 Nf3-e5+ Kd3-e2 Bd4xg1 Ba2-e6+ Kc8-b8 Nh4-f5 Kb8xa8 Ke2xe1
11/22 00:00 1,363k 4,544k -0.48 Re6xd6+ Kd7-c8 Rd6xd8+ Bb6xd8 Qc5xf8 Ra5xa2 Bb1xa2 Nd2xf3 Bf2xg1 Nf3-e5+ Kd3-e2 Bd4xg1 Ba2-e6+ Kc8-b8 Nh4-f5 Bh1-f3+ Ke2xe1 b4-b3 Qf8-d6+ Bd8-c7
12/22+ 00:00 1,391k 4,636k -0.24 Re6xd6+
12/22+ 00:00 1,392k 4,639k +0.24 Re6xd6+
12/22+ 00:00 1,393k 4,643k +3.12 Re6xd6+
12/22 00:00 1,401k 4,671k +0.76 Re6xd6+ Kd7-c8 Rd6xd8+ Bb6xd8 Qc5xf8 Ra5xa2 Bb1xa2 Nd2xf3 Bf2xg1 Nf3-e5+ Kd3-e2 Bd4xg1 Ba2-e6+ Kc8-b8 Nh4-f5
12/22 00:00 1,428k 4,606k -0.48 Re6xd6+ Kd7-c8 Rd6xd8+ Bb6xd8 Qc5xf8 Ra5xa2 Bb1xa2 Nd2xf3 Bf2xg1 Nf3-e5+ Kd3-e2 Bd4xg1 Ba2-e6+ Kc8-b8 Nh4-f5 Bh1-f3+ Ke2xe1 b4-b3 Qf8xe8 Kb8-c7 Ke1-d2
12/22 00:00 1,445k 4,663k -0.48 Re6xd6+ Kd7-c8 Rd6xd8+ Bb6xd8 Qc5xf8 Ra5xa2 Bb1xa2 Nd2xf3 Bf2xg1 Nf3-e5+ Kd3-e2 Bd4xg1 Ba2-e6+ Kc8-b8 Nh4-f5 Bh1-f3+ Ke2xe1 b4-b3 Qf8xe8 Kb8-c7
13/22+ 00:00 1,483k 4,634k -0.24 Re6xd6+
13/22+ 00:00 1,642k 4,561k +0.24 Re6xd6+
13/22 00:00 1,647k 4,575k -0.48 Re6xd6+ Kd7-c8 Rd6xd8+ Bb6xd8 Qc5xf8 Ra5xa2 Bb1xa2 Nd2xf3 Bf2xg1 Nf3-e5+ Kd3-e2 Bd4xg1 Ba2-e6+ Kc8-b8 Nh4-f5 Bh1-f3+ Ke2xe1 b4-b3 Qf8xe8
13/22 00:00 1,659k 4,609k -0.48 Re6xd6+ Kd7-c8 Rd6xd8+ Bb6xd8 Qc5xf8 Ra5xa2 Bb1xa2 Nd2xf3 Bf2xg1 Nf3-e5+ Kd3-e2 Bd4xg1 Ba2-e6+ Kc8-b8 Nh4-f5 Bh1-f3+ Ke2xe1 b4-b3 Qf8xe8 Kb8-c7 Ke1-d2
13/22+ 00:00 1,669k 4,635k +1.20 Re6xd6+
13/22 00:00 1,676k 4,531k -0.48 Re6xd6+ Kd7-c8 Rd6xd8+ Bb6xd8 Qc5xf8 Ra5xa2 Bb1xa2 Nd2xf3 Bf2xg1 Nf3-e5+ Kd3-e2 Bd4xg1 Ba2-e6+ Kc8-b8 Nh4-f5 Bh1-f3+ Ke2xe1 b4-b3 Qf8xe8 Kb8-c7
13/22+ 00:00 1,691k 4,571k +3.12 Re6xd6+
13/22 00:00 1,697k 4,586k -0.48 Re6xd6+ Kd7-c8 Rd6xd8+ Bb6xd8 Qc5xf8 Ra5xa2 Bb1xa2 Nd2xf3 Bf2xg1 Nf3-e5+ Kd3-e2 Bd4xg1 Ba2-e6+ Kc8-b8 Nh4-f5 Bh1-f3+ Ke2xe1 b4-b3 Qf8xe8 Kb8-c7
13/22 00:00 2,534k 4,606k +1.52 Re6xd6+ Kd7-c8 Rd6xd8+ Kc8xd8 Qc5xf8 Ra5xa2 Qf8-d6+ Kd8-c8 Bb1xa2 b4-b3 Qd6-e7 Bh1xf3 Qe7xe8+ Kc8-c7 Nh4xf3 b3xa2 Qe8xc6+ Kc7-d8 Qc6-d6+
14/22- 00:00 2,669k 4,602k +1.26 Re6xd6+ Kd7-c8
14/22- 00:00 2,769k 4,615k +0.74 Re6xd6+ Kd7-c8
14/24 00:00 3,061k 4,638k +0.24 Re6xd6+ Kd7-c8 Rd6xd8+ Bb6xd8 Qc5xf8 Ra5xa2 Bb1xa2 Nd2xf3 Bf2xg1 Nf3-e5+ Kd3-e2 Bd4xg1 Ba2-e6+ Kc8-b8 Nh4-f5 b4-b3 Qf8xe8 Be1-a5 Be6xb3 Bh1-e4 Nf5-d6
15/25- 00:00 3,229k 4,680k 0.00 Re6xd6+ Kd7-c8
15/25+ 00:00 3,274k 4,677k +0.01 Qc5xd6+
15/25+ 00:00 3,795k 4,627k +0.96 Qc5xd6+
15/25- 00:00 3,866k 4,603k 0.00 Qc5xd6+ Kd7-c8
15/25- 00:00 3,958k 4,602k -0.48 Qc5xd6+ Kd7-c8
15/25+ 00:00 3,962k 4,606k -0.11 Re6xd6+
15/25+ 00:00 3,964k 4,610k +2.88 Re6xd6+
15/25 00:00 3,971k 4,618k +0.24 Re6xd6+ Kd7-c8 Rd6xd8+ Bb6xd8 Qc5xf8 Ra5xa2 Bb1xa2 Nd2xf3 Bf2xg1 Nf3-e5+ Kd3-e2 Bd4xg1 Ba2-e6+ Kc8-b8 Nh4-f5 b4-b3 Qf8xe8 Be1-a5 Be6xb3
15/25 00:00 4,234k 4,602k -0.12 Re6xd6+ Kd7-c8 Rd6xd8+ Bb6xd8 Qc5xf8 Ra5xa2 Bb1xa2 Nd2xf3 Bf2xg1 Nf3-e5+ Kd3-e2 Bd4xg1 Ba2-e6+ Kc8-b8 Nh4-f5 b4-b3 Qf8xe8 Bh1-f3+ Ke2xe1 b3-b2 Be6-a2 Kb8-a7 Qe8xd8 b2-b1Q+ Ba2xb1 Rb5xb1+
15/25 00:00 4,304k 4,579k -0.01 Re6xd6+ Kd7-c8 Rd6xd8+ Bb6xd8 Qc5xf8 Ra5xa2 Bb1xa2 Nd2xf3 Bf2xg1 Nf3-e5+ Kd3-e2 Bd4xg1 Ba2-e6+ Kc8-b8 Nh4-f5 b4-b3 Qf8xe8 b3-b2 Qe8xd8+ Kb8-a7 Qd8-e7+ Ka7-b6 Qe7-d8+ Kb6-a7
16/32- 00:01 5,298k 4,528k -0.25 Re6xd6+ Kd7-c8
16/32+ 00:01 6,269k 4,576k -0.01 Re6xd6+
16/32+ 00:01 6,270k 4,577k +1.43 Re6xd6+
16/33 00:01 7,199k 4,675k +3.28 Re6xd6+ Kd7-c8 Rd6xd8+ Kc8xd8 Qc5xf8 Ra5xa2 Qf8-d6+ Kd8-c8 Bb1xa2 b4-b3 Qd6-e7 Nd2xf3 Qe7xe8+ Kc8-c7 Qe8xc6+ Kc7-d8 Qc6-d6+ Kd8-c8 Qd6-e6+ Kc8-b8 Qe6-e8+ Kb8-c7 Qe8-e7+ Kc7-c8 Ba8-b7+ Kc8-b8 Bb7xf3 Bh1xf3 Ba2-b1 Be1xf2 Qe7-e8+ Kb8-a7 Nh4xf3
16/35 00:02 11,195k 4,744k +1.58 Re6xd6+ Kd7-c8 Rd6xd8+ Kc8xd8 Qc5-d6+ Nf8-d7 Qa2-e6 Be8-g6+ Nh4xg6 Ra5-a3+ Kd3-c2 Rb5-c5+ Qd6xc5 b4-b3+ Rf3xb3 Bb6xc5 Rb3xa3 Be1xf2 Ba8xc6 Bh1xc6 Qe6xc6 Bc5xa3 Kc2xd2 Bf2-e3+ Kd2-e2 Rg1xb1 Qc6-a8+ Rb1-b8 Qa8xa3
16/35 00:03 17,012k 4,931k -0.48 Re6xd6+ Kd7-c8 Rd6xd8+ Bb6xd8 Qc5xf8 Ra5xa2 Bb1xa2 Nd2xf3 Bf2xg1 Nf3-e5+ Kd3-e2 Bd4xg1 Ba2-e6+ Kc8-b8 Nh4-f5 b4-b3 Qf8xe8 Kb8xa8 Be6xb3 Rb5xb3 Qe8xd8+ Rb3-b8 Qd8-e7 Bh1-f3+ Ke2xe1 Ne5-c4
17/35+ 00:03 19,503k 4,975k -0.24 Re6xd6+
17/35+ 00:03 19,509k 4,977k +0.24 Re6xd6+
17/35+ 00:03 19,511k 4,977k +1.20 Re6xd6+
17/35 00:03 19,593k 4,973k +2.60 Re6xd6+ Kd7-c8 Rd6xd8+ Kc8xd8 Qc5-d6+ Nf8-d7 Qa2-e6 Be8-g6+ Nh4xg6 Ra5-a3+ Kd3-c2 Rb5-c5+ Qd6xc5 Bb6xc5 Ba8xc6 b4-b3+ Kc2-d3 b3-b2+ Kd3-c2 Ra3-a7 Bf2xg1 Bh1xf3 Bc6xf3 Nd2xf3 Bg1-f2 Ra7-a3 Bf2xe1 Nf3xe1+ Qe6xe1 Ra3-c3+ Kc2-d2
17/36 00:04 20,278k 4,995k -0.24 Re6xd6+ Kd7-c8 Rd6xd8+ Bb6xd8 Qc5xf8 Ra5xa2 Bb1xa2 Nd2xf3 Bf2xg1 Nf3-e5+ Kd3-e2 Bd4xg1 Ba2-e6+ Kc8-b8 Nh4-f5 b4-b3 Qf8xe8 Kb8xa8 Be6xb3 Rb5xb3 Ke2xe1 Rb3-b1+ Ke1-d2 Rb1-b2+ Kd2-c3
17/36- 00:04 22,739k 5,009k -0.72 Re6xd6+ Kd7-c8
17/36 00:05 26,281k 5,044k +0.01 Re6xd6+ Kd7-c8 Rd6xd8+ Bb6xd8 Qc5xf8 Ra5xa2 Bb1xa2 Nd2xf3 Bf2xg1 Nf3-e5+ Kd3-e2 Bd4xg1 Ba2-e6+ Be8-d7 Nh4-f5 Bh1-f3+ Ke2xe1 Bg1-c5 Be6xd7+ Kc8xd7 Qf8-g7+ Kd7-e6 Nf5-g3 b4-b3 Qg7-g8+ Ke6-d7 Qg8-g7+ Kd7-e6
18/36- 00:05 26,352k 5,039k -0.23 Re6xd6+ Kd7-c8
18/36- 00:05 27,412k 5,048k -0.71 Re6xd6+ Kd7-c8
18/36 00:05 29,058k 5,054k -0.88 Re6xd6+ Kd7-c8 Rd6xd8+ Bb6xd8 Qc5xf8 Ra5xa2 Bb1xa2 Be8-g6+ Nh4xg6 Rg1xg6 Rf3-g3 Bh1-e4+ Kd3-e2 Be1xf2 Rg3xg6 Be4xg6 Ke2xd2 Bf2-e3+ Kd2-e2 b4-b3 Ba2-b1 Rb5-e5 Qf8-d6 Be3-g5+ Ke2-f1
19/36- 00:06 30,366k 5,053k -1.13 Re6xd6+ Kd7-c8
19/38- 00:06 33,701k 5,075k -1.63 Re6xd6+ Kd7-c8
19/38 00:07 38,018k 5,096k -1.96 Re6xd6+ Kd7-c8 Rd6xd8+ Bb6xd8 Qc5xf8 Ra5xa2 Bb1xa2 Be8-g6+ Nh4xg6 Rg1xg6 Bf2xd4 Nd2xf3 Qf8-f7 b4-b3 Qf7xg6 Nf3xd4 Qg6-g4+ Kc8-b8 Qg4xd4 Rb5-d5 Ba2xb3 Rd5xd4+ Kd3xd4 Be1-b4 Kd4-e5 Kb8xa8 Bb3-a2 Ka8-b7 Ba2-b3 Kb7-b6 Ke5-d4 Bb4-c5+ Kd4-e5 Bh1-d5 Bb3xd5 Bd8-c7+ Ke5-e4 c6xd5+ Ke4xd5
20/38+ 00:09 46,365k 5,106k -1.69 Re6xd6+
20/38+ 00:09 46,456k 5,111k -1.15 Re6xd6+
20/38+ 00:09 48,429k 5,109k -0.07 Re6xd6+
20/38 00:09 48,454k 5,111k -0.99 Re6xd6+ Kd7-c8 Rd6xd8+ Bb6xd8 Qc5xf8 Ra5xa2 Bb1xa2 Be8-g6+ Nh4xg6 Rg1xg6 Ba8-b7+ Rb5xb7 Qf8-f5+ Rb7-d7 Nh7-f8 Rg6-d6 Nf8xd7 Bd4xf2+ Kd3-c2 b4-b3+ Ba2xb3 Nd2xf3 Nd7-e5+ Kc8-c7 Ne5xf3
20/38 00:09 49,059k 5,110k -0.01 Re6xd6+ Kd7-c8 Rd6xd8+ Bb6xd8 Qc5xf8 Ra5xa2 Bb1xa2 Be8-g6+ Nh4xg6 Rg1xg6 Ba8-b7+ Kc8xb7 Rf3-f7+ Kb7-c8 Qf8-e8 Bh1-e4+ Kd3-e2 Be4-f3+ Ke2-d3 Bf3-e4+
20/38 00:10 52,552k 5,127k 0.00 Re6xd6+ Kd7-c8 Rd6xd8+ Bb6xd8 Qc5xf8 Ra5xa2 Bb1xa2 Be8-g6+ Nh4xg6 Rg1xg6 Ba8-b7+ Kc8xb7 Rf3-f7+ Kb7-c8 Qf8-e8 Bh1-e4+ Kd3-e2 Be4-f3+ Ke2-d3 Bf3-e4+
20/40- 00:11 59,009k 5,145k -2.27 Re6xd6+ Kd7-c8
20/41 00:12 66,115k 5,165k -2.28 Re6xd6+ Kd7-c8 Rd6xd8+ Bb6xd8 Qc5xf8 Ra5xa2 Bb1xa2 Nd2xf3 Ba2-e6+ Kc8-c7 Bf2xg1 Bd8xh4 Bg1-h2+ Be1-g3 Bh2xg3+ Bh4xg3 Qf8xe8 Nf3-e5+ Kd3-d2 Bd4-c3+ Kd2-c2 Rb5-b8 Qe8-e7+ Kc7-b6 Nh7-f6 Rb8xa8 Nf6-d7+ Ne5xd7 Qe7xd7 Bh1-e4+ Kc2-b3 Ra8-a3+ Kb3-c4 Be4-c2 Qd7-e7 Bg3-c7 Be6-c8 Bc2-b3+ Kc4-d3
21/41- 00:13 72,114k 5,188k -2.62 Re6xd6+ Kd7-c8
21/41- 00:17 91,259k 5,203k -3.30 Re6xd6+ Kd7-c8
21/41 00:19 103,223k 5,171k -3.68 Re6xd6+ Kd7-c8 Rd6xd8+ Bb6xd8 Qc5xf8 Nd2xf3 Bf2xg1 Ra5xa2 Bb1xa2 Nf3-e5+ Kd3-e2 Bd4xg1 Ke2xe1 Bd8xh4+ Ke1-f1 b4-b3 Ba2-b1 Kc8-c7 Kf1xg1 Bh1-d5 Qf8-g7+ Bd5-f7 Kg1-g2 b3-b2 Ba8xc6 Be8xc6+ Kg2-f1 Rb5-c5 Kf1-e2 Kc7-b6 Ke2-d2 Ne5-c4+
22/41+ 00:21 108,418k 5,158k -3.31 Re6xd6+
22/41 00:21 109,015k 5,157k -3.16 Re6xd6+ Kd7-c8 Rd6xd8+ Bb6xd8 Qc5xf8 Nd2xf3 Bf2xg1 Ra5xa2 Bb1xa2 Nf3-e5+ Kd3-e2 Bd4xg1 Ke2xe1 Bd8xh4+ Ke1-f1 b4-b3 Ba2-b1 Bg1-e3 Kf1-e2 Be3-b6 Qf8xe8+ Kc8-c7 Ba8xc6 Bh1xc6 Qe8-f8 Bc6-f3+ Ke2-d2 Bb6-a5+ Kd2-e3 b3-b2
22/41 00:22 116,631k 5,174k -3.84 Re6xd6+ Kd7-c8 Rd6xd8+ Bb6xd8 Qc5xf8 Nd2xf3 Bf2xg1 Ra5xa2 Bb1xa2 Nf3-e5+ Kd3-e2 Bd4xg1 Ke2xe1 Bd8xh4+ Ke1-f1 b4-b3 Ba2xb3 Bg1-d4 Qf8-g8 Rb5-a5 Qg8xe8+ Kc8-c7 Kf1-e2 Ra5-a1 Bb3-d1 Ra1-a2+ Bd1-c2 Bh1-d5 Ke2-d1 Ra2-a1+
23/41- 00:26 140,491k 5,207k -4.37 Re6xd6+ Kd7-c8
23/41 00:31 166,892k 5,247k -4.92 Re6xd6+ Kd7-c8 Rd6xd8+ Bb6xd8 Qc5xf8 Nd2xf3 Bf2xg1 Ra5xa2 Bb1xa2 Nf3-e5+ Kd3-e2 Bd4xg1 Nh4-f5 Ne5-d7 Qf8xe8 Rb5-e5+ Qe8xe5 Nd7xe5 Ke2xe1 Bg1-c5 Ba8xc6 b4-b3 Ba2xb3 Bh1xc6 Bb3-e6+ Kc8-b7 Ke1-d2 Kb7-a6 Be6-c8+ Ka6-a5 Kd2-d1 Ka5-b4 Kd1-d2 Bd8-a5
24/44 00:42 224,277k 5,316k -5.32 Re6xd6+ Kd7-c8 Rd6xd8+ Bb6xd8 Qc5xf8 Nd2xf3 Bf2xg1 Ra5xa2 Bb1xa2 Nf3-e5+ Kd3-e2 Bd4xg1 Ke2xe1 Bd8xh4+ Ke1-f1 b4-b3 Ba2-b1 Bg1-e3 Qf8xe8+ Kc8-c7 Bb1-f5 b3-b2 Qe8-c8+ Kc7-b6 Bf5-b1 Kb6-a5 Kf1-e2 Be3-b6 Ba8xc6 Bh1xc6 Qc8-f8 Bc6-f3+ Ke2-d2 Rb5-d5+ Kd2-c2 Bf3-e4+ Kc2-b3 Rd5-b5+ Kb3-a2 Be4-d5+
25/50- 01:07 363,176k 5,365k -6.12 Re6xd6+ Kd7-c8
25/52+ 01:20 428,753k 5,353k -5.46 Re6xd6+
25/53+ 01:20 430,199k 5,353k -4.42 Re6xd6+
25/53 01:20 430,639k 5,354k -3.96 Re6xd6+ Kd7-c8 Rd6xd8+ Bb6xd8 Qc5xf8 Nd2xf3 Bf2xg1 Ra5xa2 Bb1xa2 Nf3-e5+ Kd3-e2 Bd4xg1 Ke2xe1 Bd8xh4+ Ke1-f1 b4-b3 Ba2-b1 Bg1-a7 Qf8xe8+ Kc8-c7 Qe8-g8 Rb5-c5 Qg8-g7+ Ne5-d7 Qg7-h6 Bh4-e7 Qh6-f4+ Nd7-e5 Nh7-g5 Be7xg5 Qf4xg5 Rc5-b5 Qg5-g7+ Ne5-d7 Qg7-g3+ Kc7-b6 Qg3-h4 Bh1-d5 Qh4-d8+ Kb6-c5 Qd8xd7 Ba7-b6
25/53 01:20 431,494k 5,354k -4.00 Re6xd6+ Kd7-c8 Rd6xd8+ Bb6xd8 Qc5xf8 Nd2xf3 Bf2xg1 Ra5xa2 Bb1xa2 Nf3-e5+ Kd3-e2 Bd4xg1 Ke2xe1 Bd8xh4+ Ke1-f1 b4-b3 Ba2-b1 Bg1-a7 Qf8xe8+ Kc8-c7 Qe8-g8 Rb5-c5 Qg8-g7+ Ne5-d7 Qg7-h6 Bh4-e7 Qh6-f4+ Nd7-e5 Nh7-g5 Be7xg5 Qf4xg5 Rc5-b5 Qg5-g7+ Ne5-d7 Qg7-g3+ Kc7-b6 Qg3-h4 Bh1-d5 Qh4-d8+ Kb6-c5 Qd8xd7 Ba7-b6 Kf1-e2
25/53 01:21 435,044k 5,354k -5.36 Re6xd6+ Kd7-c8 Rd6xd8+ Bb6xd8 Qc5xf8 Nd2xf3 Bf2xg1 Ra5xa2 Bb1xa2 Nf3-e5+ Kd3-e2 Bd4xg1 Ke2xe1 Bd8xh4+ Ke1-f1 b4-b3 Ba2-b1 Bg1-a7 Qf8xe8+ Kc8-c7 Qe8-g8 Rb5-c5 Qg8-g7+ Ne5-d7 Qg7-h6 Bh4-e7 Qh6-f4+ Rc5-e5 Qf4-a4 Ba7-b6 Qa4xb3 Be7-h4 Qb3-d1 Bh4-g3 Qd1-c1 Bh1-f3 Bb1-f5 Re5xf5 Qc1-c3 Bf3-e4+ Kf1-e2 Rf5-f2+ Ke2-d1 Be4xh7 Ba8xc6
26/53+ 01:23 446,340k 5,348k -4.84 Re6xd6+
26/53 01:23 448,653k 5,347k -5.36 Re6xd6+ Kd7-c8 Rd6xd8+ Bb6xd8 Qc5xf8 Nd2xf3 Bf2xg1 Ra5xa2 Bb1xa2 Nf3-e5+ Kd3-e2 Bd4xg1 Ke2xe1 Bd8xh4+ Ke1-f1 b4-b3 Ba2-b1 Bg1-a7 Qf8xe8+ Kc8-c7 Qe8-g8 Rb5-c5 Qg8-g7+ Ne5-d7 Qg7-h6 Bh4-e7 Qh6-f4+ Rc5-e5 Qf4-a4 Ba7-b6 Qa4-f4 b3-b2 Bb1-d3 Bb6-a7 Qf4-d2 Be7-h4 Ba8xc6 Bh1xc6 Qd2-f4 Bc6-b5
26/53 01:24 452,836k 5,345k -5.32 Re6xd6+ Kd7-c8 Rd6xd8+ Bb6xd8 Qc5xf8 Nd2xf3 Bf2xg1 Ra5xa2 Bb1xa2 Nf3-e5+ Kd3-e2 Bd4xg1 Ke2xe1 Bd8xh4+ Ke1-f1 b4-b3 Ba2-b1 Bg1-a7 Qf8xe8+ Kc8-c7 Qe8-g8 Rb5-c5 Qg8-g7+ Ne5-d7 Qg7-h6 Bh4-e7 Bb1-d3 Bh1-f3 Qh6-f4+ Nd7-e5 Nh7-g5 Be7xg5 Qf4xg5 Ba7-b6 Qg5-g7+ Kc7-d6 Qg7-h6+ Kd6-d5 Ba8xc6+ Rc5xc6 Qh6-d2 Kd5-c5 Qd2-c3+ Kc5-d6
27/58 01:39 533,627k 5,366k -6.00 Re6xd6+ Kd7-c8 Rd6xd8+ Bb6xd8 Qc5xf8 Nd2xf3 Bf2xg1 Ra5xa2 Bb1xa2 Nf3-e5+ Kd3-e2 Bd4xg1 Ke2xe1 Bd8xh4+ Ke1-f1 b4-b3 Ba2-b1 Bg1-a7 Qf8xe8+ Kc8-c7 Qe8-g8 Rb5-c5 Qg8-g7+ Ne5-d7 Nh7-f8 Rc5-c1+ Kf1-e2 Rc1-e1+ Ke2-d2 Re1-e7 Qg7-g4 Ba7-e3+ Kd2-c3 Bh4-f6+ Kc3xb3 Nd7xf8 Qg4-g3+ Re7-e5 Bb1-d3 Bh1-d5+ Kb3-c2 Nf8-d7 Ba8xc6 Bd5xc6 Kc2-b1 Kc7-d6 Kb1-b2 Be3-d4+ Kb2-b1 Nd7-c5 Qg3-f4 Kd6-d5 Qf4-f3+ Nc5-e4 Kb1-c2 Bc6-a4+ Kc2-b1
28/66- 02:34 828,014k 5,375k -6.96 Re6xd6+ Kd7-c8
28/66 03:03 984,726k 5,368k -6.96 Re6xd6+ Kd7-c8 Rd6xd8+ Bb6xd8 Qc5xf8 Nd2xf3 Bf2xg1 Ra5xa2 Bb1xa2 Nf3-e5+ Kd3-e2 Bd4xg1 Ke2xe1 Bd8xh4+ Ke1-f1 b4-b3 Ba2-b1 Bg1-a7 Qf8xe8+ Kc8-c7 Qe8-g8 Rb5-c5 Qg8-g7+ Ne5-d7 Nh7-f8 Rc5-c1+ Kf1-e2 Rc1-e1+ Ke2-d2 Re1-e7 Qg7-g4 Ba7-e3+ Kd2-c3 Bh4-f6+ Kc3xb3 Nd7xf8 Qg4-g3+ Re7-e5 Bb1-f5 Kc7-b8 Ba8xc6 Bh1xc6 Kb3-c2 Kb8-b7 Qg3-g4 Kb7-c7 Qg4-g3 Kc7-b6 Qg3-g4 Re5-b5 Kc2-d1 Rb5-d5+ Kd1-e2 Be3-c5 Qg4-f4 Rd5-e5+
29/66 04:08 1,330,184k 5,349k -7.32 Re6xd6+ Kd7-c8 Rd6xd8+ Bb6xd8 Qc5xf8 Nd2xf3 Bf2xg1 Ra5xa2 Bb1xa2 Nf3-e5+ Kd3-e2 Bd4xg1 Ke2xe1 Bd8xh4+ Ke1-f1 b4-b3 Ba2-b1 Bg1-a7 Qf8xe8+ Kc8-c7 Qe8-g8 Rb5-c5 Qg8-g7+ Ne5-d7 Qg7-h6 Bh4-e7 Bb1-d3 Nd7-e5 Nh7-g5 Rc5-c1+ Kf1-e2 Be7xg5 Qh6-g7+ Kc7-d6 Qg7-f8+ Kd6-d5 Ba8xc6+ Rc1xc6 Qf8-g8+ Kd5-d4 Qg8xg5 Ne5xd3 Qg5-e3+ Kd4-c4 Qe3xd3+ Kc4-b4 Ke2-d2 Kb4-a3 Kd2-d1 Ba7-c5 Kd1-d2 Bc5-d6 Kd2-d1
30/69 06:54 2,207,526k 5,328k -8.36 Re6xd6+ Kd7-c8 Rd6xd8+ Bb6xd8 Qc5xf8 Nd2xf3 Bf2xg1 Ra5xa2 Bb1xa2 Nf3-e5+ Kd3-e2 Bd4xg1 Ke2xe1 Bd8xh4+ Ke1-f1 b4-b3 Ba2-b1 Bg1-a7 Qf8xe8+ Kc8-c7 Qe8-g8 Rb5-c5 Qg8-g7+ Ne5-d7 Qg7-b2 Bh1-f3 Nh7-f8 Rc5-d5 Qb2xb3 Rd5-d1+ Qb3xd1 Bf3xd1 Nf8-e6+ Kc7-d6 Bb1-e4 Bd1-a4 Ne6-g7 Ba4-b5+ Kf1-g2 Bh4-f6 Ng7-e8+ Kd6-c5 Be4-f5 Nd7-b6 Ne8xf6 Nb6xa8 Nf6-e4+ Kc5-d4 Kg2-f3 Na8-c7 Ne4-d6 Nc7-d5 Bf5-c8 Ba7-b8 Nd6xb5+ c6xb5 Kf3-e2
31/69 08:51 2,829,648k 5,322k -8.20 Re6xd6+ Kd7-c8 Rd6xd8+ Bb6xd8 Qc5xf8 Nd2xf3 Bf2xg1 Ra5xa2 Bb1xa2 Nf3-e5+ Kd3-e2 Bd4xg1 Ke2xe1 Bd8xh4+ Ke1-f1 b4-b3 Ba2-b1 Bg1-a7 Qf8xe8+ Kc8-c7 Qe8-g8 Rb5-c5 Qg8-g7+ Ne5-d7 Qg7-h6 Bh4-e7 Bb1-d3 Nd7-e5 Nh7-g5 Rc5-c1+ Kf1-e2 Be7xg5 Qh6-g7+ Kc7-d6 Qg7-f8+ Kd6-d5 Ba8xc6+ Rc1xc6 Qf8-g8+ Kd5-d4 Qg8xg5 Ne5xd3 Qg5-g7+ Kd4-c4 Qg7xa7 Bh1-d5 Ke2-d2 Nd3-c5 Qa7-a5 Rc6-e6 Qa5-c3+ Kc4-b5 Qc3-h8 Nc5-a4 Qh8-b8+ Na4-b6 Qb8-h2 Nb6-c4+ Kd2-c3 Re6-e3+ Kc3-d4 b3-b2 Qh2-g1 Bd5-e6
32/69 09:34 3,061,983k 5,329k -8.20 Re6xd6+ Kd7-c8 Rd6xd8+ Bb6xd8 Qc5xf8 Nd2xf3 Bf2xg1 Ra5xa2 Bb1xa2 Nf3-e5+ Kd3-e2 Bd4xg1 Ke2xe1 Bd8xh4+ Ke1-f1 b4-b3 Ba2-b1 Bg1-a7 Qf8xe8+ Kc8-c7 Qe8-g8 Rb5-c5 Qg8-g7+ Ne5-d7 Qg7-h6 Bh4-e7 Bb1-d3 Nd7-e5 Nh7-g5 Rc5-c1+ Kf1-e2 Be7xg5 Qh6-g7+ Kc7-d6 Qg7-f8+ Kd6-d5 Ba8xc6+ Rc1xc6 Qf8-g8+ Kd5-d4 Qg8xg5 Ne5xd3 Qg5-g7+ Kd4-c4 Qg7xa7 Bh1-d5 Ke2-d2 Nd3-c5 Qa7-a5 Rc6-e6 Qa5-c3+ Kc4-b5 Qc3-h8 Nc5-a4 Qh8-b8+ Na4-b6 Qb8-h2 Nb6-c4+ Kd2-c3 Re6-e3+ Kc3-d4 b3-b2 Qh2-g1
33/76 14:13 4,546,726k 5,325k -8.70 Re6xd6+ Kd7-c8 Rd6xd8+ Bb6xd8 Qc5xf8 Nd2xf3 Bf2xg1 Ra5xa2 Bb1xa2 Nf3-e5+ Kd3-e2 Bd4xg1 Ke2xe1 Bd8xh4+ Ke1-f1 b4-b3 Ba2-b1 Bg1-a7 Qf8xe8+ Kc8-c7 Qe8-g8 Rb5-c5 Qg8-g7+ Ne5-d7 Nh7-f8 Rc5-c1+ Kf1-e2 Rc1-e1+ Ke2-d2 Re1-e7 Qg7-g4 Ba7-e3+ Kd2-c3 Bh4-f6+ Kc3xb3 Nd7xf8 Qg4-g3+ Re7-e5 Bb1-f5 Kc7-b8 Ba8xc6 Bh1xc6 Kb3-c2 Kb8-b7 Qg3-g4 Kb7-c7 Qg4-g3 Kc7-b6 Bf5-d3 Bc6-b5 Bd3xb5 Kb6xb5 Qg3-f3 Nf8-d7 Qf3-b7+ Nd7-b6 Kc2-d3 Be3-c1

[towforce]

From the OP:

My idea of getting an estimate.

Take 1000 random positions from games and let an engine to play against itself every position.
Divide the number of draws by 10 and you get an estimate for the % of the draws.

I missed this - I never read the original post until just now.

This idea is completely doable. My experience of statistics tells me to do the following:

* pick 10,000 games, completely at random, from a database of games

* from this, make a list of positions

* pick 1,000 positions, completely at random, from this list of positions (after discarding any duplicate positions)

* per link, have a good engine evaluate each of the thousand positions, choosing the win/draw dividing line so that as many draws will be counted as wins as wins will be counted as draws

This will produce a reliable estimate:

1. Wins counted as draws will approximately balance draws counted as wins

2. The stupidly simple method of position selection will actually resolve your "distribution of positions" problem handily

Because I hadn't read the OP, I had no idea that the actual requirement was so simple.

[Uri Blass]

From the OP:

My idea of getting an estimate.

Take 1000 random positions from games and let an engine to play against itself every position.
Divide the number of draws by 10 and you get an estimate for the % of the draws.

I missed this - I never read the original post until just now.

This idea is completely doable. My experience of statistics tells me to do the following:

* pick 10,000 games, completely at random, from a database of games

* from this, make a list of positions

* pick 1,000 positions, completely at random, from this list of positions (after discarding any duplicate positions)

* per link, have a good engine evaluate each of the thousand positions, choosing the win/draw dividing line so that as many draws will be counted as wins as wins will be counted as draws

This will produce a reliable estimate:

1. Wins counted as draws will approximately balance draws counted as wins

2. The stupidly simple method of position selection will actually resolve your "distribution of positions" problem handily

Because I hadn't read the OP, I had no idea that the actual requirement was so simple.

This was my original idea but I saw that people went to talk about percentage of draws out of the legal positions.

I think usually it is also easy to know that a random legal position is not a draw.
I stopped the analysis of the last position in this line(probably too hard to get a forced mate in a reasonable time but I am quiet sure that black is winning

FEN: B2qbn2/3k3N/1bpqR3/rrQ5/1p1b3N/3K1R2/Q2n1B2/1B2b1rb w - - 0 1

Slow64-avx2 [001]:

39/76 1:50:33 35,783,753k 5,395k -9.32 Re6xd6+ Kd7-c8 Rd6xd8+ Bb6xd8 Qc5xf8 Nd2xf3 Bf2xg1 Ra5xa2 Bb1xa2 Nf3-e5+ Kd3-e2 Bd4xg1 Ke2xe1 Bd8xh4+ Ke1-f1 b4-b3 Ba2-b1 Bg1-a7 Qf8xe8+ Kc8-c7 Qe8-g8 Rb5-c5 Qg8-g7+ Ne5-d7 Qg7-b2 Rc5-e5 Qb2-h2 Ba7-f2 Nh7-g5 Bf2-g3 Qh2xh1 Re5-e1+ Kf1-g2 Re1xh1 Ng5-e6+ Kc7-d6 Kg2xh1 Kd6xe6 Ba8xc6 Ke6-d6 Bc6-b5 Nd7-b6 Kh1-g2 Nb6-d5 Bb5-a6 Nd5-c3 Bb1-h7 Bg3-e5 Ba6-d3 Be5-d4 Bh7-g8 b3-b2 Bg8-h7 Bh4-f2
40/81 2:38:55 51,880,293k 5,441k -10.38 Re6xd6+ Kd7-c8 Rd6xd8+ Bb6xd8 Qc5xf8 Nd2xf3 Bf2xg1 Bd4xg1 Nh4xf3 Bh1xf3 Qf8xf3 Ra5xa2 Bb1xa2 b4-b3 Qf3-e4 b3xa2 Qe4xe8 Rb5-b3+ Kd3-c2 a2-a1Q Qe8xc6+ Kc8-b8 Kc2xb3 Qa1xa8 Qc6xa8+ Kb8xa8 Kb3-c4 Ka8-a7 Nh7-g5 Bg1-b6 Ng5-e6 Bd8-f6 Ne6-c5 Bf6-h8 Nc5-e4 Ka7-b7 Kc4-d5 Kb7-c7 Ne4-d6 Kc7-d7 Nd6-c4 Bb6-a7 Nc4-e5+ Kd7-c7 Ne5-c4 Be1-b4 Nc4-e5 Bb4-d2 Ne5-c4 Bd2-g5 Nc4-d6 Ba7-b6

[Uri Blass]

next positions

5B2/b1n3N1/N2q3b/1k1NB3/b3rnRp/3n1bqb/3KR1Q1/1bbQ2r1 w - - 0 1 mate in 4 against white 1R2q3/1r5k/1qNpq2b/5NR1/1p2rq2/p3p1rB/Q2N2B1/NbKn4 w - - 0 1 mate in 8 against white
bn1n2n1/8/kr1K1bbB/2rQR3/r1pb2B1/NN2r3/qq6/1B2nRB1 w - - 0 1 mate in 1 against white
Q1qk1BKn/8/2RN2b1/2bpnr1Q/rR1bB1bq/3n4/1q2n1b1/1R3Q2 w - - 0 1 white mates in 1
Kn4R1/5BpQ/1r6/3Q4/Qbp1q1BB/Nbq2b2/1N1q3r/qqqn3k w - - 0 1 mate in 7 against white

[petero2]

... I saw that people went to talk about percentage of draws out of the legal positions.

I think usually it is also easy to know that a random legal position is not a draw.

I extracted 1000 random positions from the set of 112754 random legal positions I mentioned before. I then analyzed them with stockfish. In 702 positions stockfish found a forced mate. The remaining positions have a score distribution like this:

Code: Select all

  1    0
  2    0
  3    0
  4    0
  5    0
  6    0
  7    0
  8    0
  9    0
 10    0
 11    0
 12    0
 13    0
 14    0
 15    4
 16   14
 17   21
 18   34
 19   36
 20   47
 21   62
 22   70
 23   76
 24  107
 25  107
 26  142
 27  156
 28  180
 29  207
 30  208
 31  242
 32  243
 33  253
 34  255
 35  267
 36  284
 37  286
 38  289
 39  299
 40  313
 41  320
 42  322
 43  332
 44  334
 45  337
 46  338
 47  348
 48  351
 49  355
 50  364
 51  365
 52  374
 53  388
 54  388
 55  394
 56  405
 57  406
 58  410
 59  412
 60  422
 61  422
 62  423
 63  434
 64  434
 65  436
 66  443
 67  447
 68  449
 69  455
 70  457
 71  461
 72  462
 73  488
 74  499
 75  514
 76  514
 77  515
 78  519
 79  521
 80  523
 81  525
 82  529
 83  537
 84  546
 85  556
 86  558
 87  560
 88  563
 89  574
 90  576
 91  580
 92  580
 93  584
 94  589
 95  594
 96  598
 97  601
 98  602
 99  603
100  604
101  605
102  607
103  615
104  621
105  627
106  628
107  636
108  640
109  642
110  648
111  650
112  651
113  652
114  658
115  665
116  669
117  679
118  694
119  694
120  706
121  710
122  715
123  722
124  724
125  726
126  728
127  732
128  733
129  735
130  736
131  740
132  751
133  759
134  763
135  767
136  767
137  773
138  776
139  779
140  781
141  785
142  785
143  792
144  794
145  799
146  810
147  817
148  821
149  830
150  831
151  833
152  844
153  850
154  853
155  853
156  860
157  865
158  870
159  872
160  873
161  877
162  886
163  886
164  889
165  890
166  891
167  894
168  904
169  905
170  905
171  917
172  918
173  926
174  926
175  929
176  931
177  931
178  931
179  933
180  941
181  951
182  952
183  953
184  956
185  957
186  960
187  984
188 1004
189 1006
190 1008
191 1008
192 1011
193 1013
194 1014
195 1015
196 1019
197 1019
198 1022
199 1026
200 1027
201 1031
202 1034
203 1044
204 1044
205 1052
206 1053
207 1053
208 1056
209 1056
210 1062
211 1068
212 1078
213 1081
214 1083
215 1083
216 1086
217 1090
218 1090
219 1091
220 1092
221 1093
222 1102
223 1108
224 1109
225 1112
226 1114
227 1115
228 1116
229 1118
230 1120
231 1121
232 1127
233 1134
234 1134
235 1136
236 1136
237 1140
238 1146
239 1152
240 1158
241 1159
242 1185
243 1202
244 1206
245 1207
246 1224
247 1230
248 1233
249 1235
250 1241
251 1243
252 1244
253 1245
254 1247
255 1256
256 1261
257 1266
258 1277
259 1284
260 1290
261 1294
262 1309
263 1319
264 1340
265 1374
266 1409
267 1413
268 1422
269 1425
270 1437
271 1439
272 1458
273 1492
274 1518
275 1532
276 1533
277 1546
278 1558
279 1561
280 1574
281 1617
282 1630
283 1736
284 1761
285 1794
286 1800
287 1829
288 1900
289 1925
290 1931
291 1932
292 1983
293 2033
294 2046
295 2181
296 2283
297 2374
298 2666

Unfortunately this does not help a lot in trying to estimate the fraction of draws among all legal chess positions. I was only able to prove a draw for the following position:
[d]nkNQQ3/2NK1QN1/P1p1n1R1/8/1b1nqpB1/4BN2/nRr3br/5r1r b - - 0 1

This can be proven to be a draw because black has a forced repetition, there are not that many ways for black to force the repetition, and any deviation from those repetitions is a forced mate for white.

Here are the positions:

Code: Select all

1B5Q/2qNK1Qp/1P1pn3/1Q1r3P/2RNn1r1/Q1qR4/1bb1nQ1b/2k1N1r1 b - - 0 1 0
1Nn1Q2R/6R1/k2nqr2/3Bbn1N/N6B/K3bQbR/3rR1Qq/4qrq1 b - - 0 1 0
1R1n3R/1Br2q2/4pNB1/rQQ1P2r/1N6/1Pr4b/p1QnKRr1/3r2nk w - - 0 1 0
1b1B2NQ/nQ1R3B/bBqqr3/Nk1r1rRR/3r4/rN5K/4nqP1/2QR4 w - - 0 1 0
1b1r2B1/n1Q1nq2/Pnr1q1Nk/5B1B/2QR4/P2K1RNp/q3PNb1/2B4N b - - 0 1 0
1nB1n2B/Qrp3Bk/bRR1Kn2/1p3R2/1r1bB3/1N1B3n/1bPp1p2/2q4Q b - - 0 1 0
2Qn1B1K/2Rqn2P/R1B3PN/b1B2p2/nNr1nn2/p4k2/P1B4B/QrN5 b - - 0 1 0
B2k1R2/1p4n1/rnrn2Bp/2nnqr2/B7/1N1R2b1/2Q1N1K1/1q1QRRn1 b - - 0 1 0
BRr3bR/n5b1/1Qr1p3/p1r5/KN1Pn1Pn/B2rpQ2/2NPqb2/5kB1 w - - 0 1 0
N2N1K2/1b3N1B/6P1/nrn1BBbR/1RR5/5brQ/3Ppb1b/4qk1B b - - 0 1 0
N4b2/1nbr2P1/k1r1P1PN/bpB1Qp1q/N3RP2/1B6/BP1q1R2/2Q2K2 w - - 0 1 0
NB1Nrn2/2R1Qn2/K1br1N2/1Bp5/3Rq1NR/4r2P/1B1b1R1q/1R1k2qr b - - 0 1 0
nkNQQ3/2NK1QN1/P1p1n1R1/8/1b1nqpB1/4BN2/nRr3br/5r1r b - - 0 1 0
r2b4/1B3Bqn/rR2rp1r/6Bn/2q5/k1NP1bK1/bNn3Q1/N2RQBR1 w - - 0 1 0
2KQ1b2/1Qp2rkQ/r2bB1n1/1P4n1/2q1p2N/1Nnp2RN/1RP1q3/2n4b b - - 0 1 4
nq1N2q1/2Npr2R/2B1nnnp/1Pp4R/3B1Q1Q/b2P3p/1nr1k2K/1B1N4 b - - 0 1 14
b1Q1K2Q/NrB2R2/1P2BN2/kpP2b2/N2b2rR/1rP1R2R/4p1q1/3b2r1 b - - 0 1 21
rn4KB/PnQqb3/bp2R2p/2b4r/1B1N1p1k/rB3b1P/1Q2R2B/B3R3 b - - 0 1 34
1n1N1kbN/2B1nBr1/1Pr1p2R/4R1bp/1r1qqQ1Q/NN1R1q2/7K/5BR1 w - - 0 1 36
3R1RqK/b7/NkN1Q2R/rBr1P1p1/1PrB1n1q/1q1N1r2/1q3bP1/1n3n2 w - - 0 1 47
1K2n1BB/Q1B1bPq1/bN3N2/PpN1pRrN/P4R2/q2q3n/3q4/r1k2Q2 b - - 0 1 62
4bk2/nNn1n2p/NBnR2r1/2K1R2Q/1p3Bq1/QB4n1/1B1bQ2r/1Nn1R3 b - - 0 1 70
k1n3B1/1rQ2b1q/1N1r1Qq1/3bP3/1Pr1p1PR/4B2K/2Bn2B1/2b2QbB b - - 0 1 76
2Rn3N/1pr2Nb1/p2r4/1PR3r1/2bPp1P1/q1nb3Q/2nB1BK1/1kr1R2B w - - 0 1 107
3R1n1K/2PB3r/n1q1P3/B1NbN3/1P2q2R/4N1p1/rn1nQ1bR/b1kn1N2 w - - 0 1 107
bk1nBNbN/rPN4N/1qR2B1K/2Nr4/2r5/nn1B2b1/1PR3Q1/b3Nr2 b - - 0 1 142
1b6/1b1p1QK1/Nb3BNr/R1PrN2q/1b1pQ3/n1R1nR1r/2q1k2q/4R2B b - - 0 1 156
7Q/4B3/K2B1R1p/1Nq1Q2B/k2bpq2/qRrb1N2/P4N1R/Nqq1r2r w - - 0 1 180
1K4k1/1bQpBR1p/3Np2b/B2r2B1/3r1Nr1/P1r2q1p/1Nn1R2R/2NB2n1 b - - 0 1 207
2bN3K/1RR3RR/1P1n2N1/pkr2n2/1rn4p/b4Q1R/1B2Bq1q/RRnq4 b - - 0 1 208
3R4/1r1RPbqR/2R2p2/n3N2b/b1n2PPB/N3Q3/n3Rq1N/K1kB2bq b - - 0 1 242
kn2bB2/2rnq3/2rPR1N1/3N1NPr/3NB1Q1/nRN5/2qr2KP/2n2n2 w - - 0 1 243
2n5/2NP1k1K/6n1/1Pr1b2P/b2nrR2/pRnQ1N2/nPQ2Nn1/6Rr b - - 0 1 253
1b4KR/2Q1Q1PN/2q3p1/1b5N/R3q1B1/bR1b2QN/1q1qk1nb/3qn3 b - - 0 1 255
k4NK1/1R1P1B2/1n1RrQ1R/nb1b1N1q/r6P/1BB1n3/3Rqbb1/2Nb3N b - - 0 1 267
k1b5/1R1q1n1K/nn3QPN/1P2n1R1/2rb2qB/1r3p2/3PBR1b/RN1Q4 w - - 0 1 284
1B3Q1R/1q3RbK/2n4p/nB1qbr1B/1Q6/1bPPQ3/PkqP1p2/4n2N w - - 0 1 286
bn5q/1N1rN3/p2R3k/nr1BBQ1P/4R3/Kn3r2/2Bb2p1/R1rR1BNN b - - 0 1 289
3NQ1Nr/1KN3nb/2P1Q3/1pnN4/1R3r1Q/p2p3p/p2qp1bQ/2k3q1 w - - 0 1 299
4bBKB/p7/QN5R/2N1pP1q/BN1q2Nq/2Qnb3/n3rNkp/r4q1R w - e6 0 1 313
R4N2/3b1n1b/1qkr4/2p2n1N/rnP1rQ1P/1B2rB2/3NR2b/2QQbK1q w - - 0 1 320
3Q4/4Bb1q/2pN2np/K7/PppqR1q1/1RPQ1R2/RpN1bb2/n4rkr w - - 0 1 322
2k1B1br/1B1nq3/1Bn1pR2/rN2BRP1/N1Q3bQ/1K5Q/pb5p/Bbr5 b - - 0 1 332
5rRr/1b1B1p2/NP2p2B/2qpKbnk/2p1Pb2/1qPN2P1/2RP1n2/1N3Q1B w - - 1 3 334
1Q2bRbQ/p1R2b2/r1Np1K2/R1n1Q2R/3r4/q1P2pB1/B1P3nb/N3qk2 b - - 0 1 337
n1k1r1RR/3p2b1/rp3b2/1PpPrq2/B5PB/2R1rNNR/2Pn2Kb/2N2Q2 b - - 1 3 338
Q3NRR1/1nRb3K/2rPppN1/1q5k/Np1qPb2/2Bn2p1/n6n/1Q2b3 b - - 0 1 348
6br/B1pBk2P/4b3/q1q3rN/2RrpNn1/4bRQK/3R1QR1/1n3NNQ b - - 0 1 351
3r4/n2B1b2/RQ2R1q1/b3KBR1/2B2r1q/1R2P1b1/n1r2B1k/NR1N1n1n w - - 0 1 355
b7/1q3BNr/1r2B2r/1pn2R1P/2pP3b/N1b2P2/B3K1QQ/Qrkn3N b - - 0 1 364
n1rb3Q/1r3n2/1P2kP1R/p1pr1q2/1PP2np1/1bR1rR2/1R5R/2B2Kn1 w - - 0 1 365
4n3/N2p1B2/bNn5/q2r1R1B/1r3NKn/2q2Qnn/3pR2Q/bnk1B1b1 w - - 0 1 374
4QB2/2R1P3/QNrB1Np1/K2nQ1r1/6r1/1BBn1PPn/n2qkn2/Bq6 b - - 0 1 388
BK2Q3/p1Rq1bN1/1pprRn2/6QB/kP1q1Np1/b1RP1p2/B2q4/6b1 w - - 0 1 388
q3q2r/2R4R/1nr5/kbn1b1BP/B2q2Nq/3RRNB1/3KnQN1/4NR1q w - - 0 1 394
1r3rb1/qQ1KN3/2pN4/3R3B/r2N1B1k/2P2Bn1/Rn1B1n2/bbn1RQN1 b - - 0 1 405
2N2KN1/1nQ3b1/Nr1B4/1n2Np2/k1BBpPb1/3bN1rN/1r1rP2R/1n3Rq1 w - - 0 1 406
Kq1Q2R1/p2pb3/pP2BPbp/n1RrN3/k1r5/3PrNNP/1P1b4/q3B3 w - - 0 2 410
b7/2Rq1NB1/3qNb1K/RPppkBrQ/r1P1qN2/RqR3R1/p2n4/2n5 b - - 0 1 412
Q2r1r1k/3RPr2/2pR2nb/p3RB2/2qp1n2/1N1pQ1K1/2P1QBp1/1BN2r2 b - - 0 1 422
q4Br1/8/R1K1NRq1/B7/R3Rpbk/R2bnQrb/Pn2P2q/R2b2N1 w - - 0 1 422
1rN1n2q/b4Bkb/3P2NR/B3n1B1/Q1q1P3/B1KN1N1q/r2r1N2/5Bb1 w - - 0 1 423
Rb1R1R1N/1q1PQK1n/2N1pB2/1q3pPn/3Nr1pk/2pPn3/3P4/5rr1 w - - 0 1 434
bn3QRq/Rr2n1nr/4kb2/b2N4/K1NN1Rn1/b1q3nN/P1BP3P/2B5 b - - 0 1 434
1R4B1/1n3p1K/2p1p1RR/1P1R4/1rb1R1nb/Qb2r3/2PBQ1Np/1rqk1r2 b - - 0 1 436
KQ2r3/3R1k1n/Q2P1bpb/n1nn4/4NRnQ/nq1b2P1/1B1Q3P/4Nrb1 b - - 0 1 443
1NnR2r1/pn4b1/n1KpRRbB/2B1bp2/P1N4P/2nr4/1n3P1Q/1bR2k2 b - - 0 2 447
2Q1R1qB/6R1/1nb1nRr1/2kq2rn/2Bq2b1/1K1qN1Np/Q3PB1q/1Qb5 w - - 0 1 449
b1N1nN2/2PRr1B1/bPn1n3/4rR2/2PbNR2/2rpBQ1K/5r2/k1q3NB b - - 0 1 455
b2Nr3/1n4Q1/1BPn2R1/q2npPNK/R1n5/k1n4B/r1Br1Prb/3RQ3 b - - 0 1 457
2qRNQb1/r6r/Qb2Nb1R/1rb2NP1/1B2R3/b4bR1/1pn3BN/k3K1n1 w - - 0 1 461
RqN3Rr/Q3Q2Q/2q1B1Q1/KN1p3n/4b3/1bP1B3/1bb1qr2/kN2qn1r w - - 0 1 462
q1R5/1pr2nb1/1pPP4/2nQ3n/2NB1kB1/3bp3/1PB2r2/N1Qb2qK w - - 0 1 488
bQ4NR/1q3r2/2N1BB2/2pR1R1P/1nR2KQ1/k3b1Pp/4q3/qBn1NB2 w - - 0 1 499
1qrB1N2/5pn1/1nB1p3/PBn1r2Q/1krb4/B2qP2n/2R2nQK/R2B1N2 b - - 0 1 514
4NBBq/1Rnp1bp1/1Q1Pn3/1q2N1Nb/n4b1r/1Q3bP1/KB1k4/1R4qN b - - 0 2 514
BN2r2k/qQp1P3/6qp/2N5/NPbN2B1/Q1nN3p/1n3n2/bR1nK2R w - - 0 1 515
5B2/1brn2rB/Bqq1k1nn/6B1/1B1BnQ2/Qp2brN1/3b4/R2N1rRK w - - 0 1 519
q1r1Nkb1/1P2n1n1/2p3R1/2Q1b1pN/BK2RRN1/2r1b3/2PRN3/nB2r2b b - - 0 1 521
1n3B2/2Nb1R2/NpP1RnKn/6P1/1kP1npP1/1n6/1qqrNrP1/2Q4Q b - - 0 1 523
n1K1N1k1/p1nQ1Q2/3RbrrP/1N3r1Q/b2NrB2/bP2QN2/R1N3r1/8 b - - 0 1 525
Q5r1/2Rp4/pn2R3/P1N1rB2/rPN5/1KPbp1bb/1Q1nr1Bk/BQ5r w - - 0 1 529
bk2Bbr1/5B1r/1p1P1B1B/3b1rN1/Bnb5/1QKBQ1q1/N4b2/n2R2B1 b - - 0 1 537
n1rq1RN1/1bp1B2k/3P1R2/r2n2nP/1NBBp1K1/R1r1N3/2P3Q1/2r1b2n b - - 0 1 546
NQ2q3/1n2ppPn/2R1brn1/n3r3/NR1p1BK1/4rP2/kn1P1b1Q/3R2b1 w - - 1 2 556
2NKR3/Q1p1P2R/4Q1nk/4br2/1n5b/rQr1R3/1NR1q1nN/bB2R2N b - - 0 1 558
rbr2BB1/1Q2rR1b/1P4p1/N3BB2/8/3nb1P1/n1kpq1PN/Rn1R1b1K b - - 0 1 560
RN4bN/1N2P3/Pq1p1PRK/Ppr1b2p/nR2Nk2/2N4n/B4b1q/1r6 w - - 0 1 563
5KQQ/P3p2Q/q2rbp1n/q3qP2/1q2PBp1/1R1qRN1k/P5Bn/R1b5 b - - 0 1 574
2n5/R1p2R2/BnKn1Q2/b2R1b2/1rNq2n1/p2PBR1Q/1NkB4/Nr3Bn1 b - - 0 1 576
RRRr1R1r/1n2kPn1/1q2nNbQ/p4Bb1/2N1b2n/r2P1P2/P6P/3K4 w - - 0 1 580
bR4K1/R1nQ3R/2p1N3/r1bnN1pb/k2q1rRb/3n1bP1/1B2p2Q/4qN2 w - - 0 1 580
2Rn2B1/QP1RrQBK/bRp5/1bb2B2/3r2R1/3Nkr2/n3pp2/1B1b1q2 b - - 0 1 584
3qR3/2k3nK/3bbrPQ/P2RqN2/nP1r2pb/4b2P/6Rr/1BNQr3 w - - 0 1 589
1r3BQK/B2nnBN1/n1Rr1NB1/QRN4P/Qbb5/4n1Rb/3bq3/2r2k2 b - - 0 1 594
2n2N2/QKr1bkqq/N3rB2/bnR2Bnp/Rp4B1/1R3R1P/2n1B2r/2n5 w - - 0 1 598
2Qr2Nr/1B3r2/pk1q1r1r/1pN1PN1N/nPb1R1BK/6N1/2p2n2/3QQ3 b - - 0 1 601
2b2q1r/3N2p1/1q1k1pR1/1B1N2nR/qr1B1qK1/1Q1r1n2/1Q1p1N2/QB3Rb1 w - - 0 1 602
1BNb4/nk6/N3KpNr/5R1b/Bbnp1Nb1/1r1BBRnR/8/1Q1R2Rq b - - 0 1 603
4bk2/Q5nn/Nbpnq2q/n6Q/1BPqQ1Rb/2Q2B2/br2RQN1/2B2K2 b - - 0 1 604
2rb4/1bkBb2R/2NR2N1/Nr3nP1/2bRQ3/P3QrP1/1rP2p2/2Kq2R1 w - - 0 1 605
R7/1b2k2q/4b3/1NrnRRn1/4bpBb/QB1pPPRN/1Pq4q/1KB1B3 w - - 0 1 607
r1B2rN1/1KNP3p/R1n3B1/pn5P/p2R1R1N/NrQqnn2/5k2/R6q w - - 0 1 615
7k/2b4n/Nb1B1r2/2rR2qr/1p2B3/BP2pNQR/2b1NNRp/2KR1q1r w - - 0 1 621
N2Nq1n1/1n2R3/2K1Brr1/6bp/B1pP2N1/1rPR2Qp/bBk1Bnn1/7r w - - 0 1 627
1qNN3b/1q1r3R/pN1r3B/1p2np1k/P2B2n1/Q3RP2/1PbRn1RB/1b5K b - - 1 3 628
1B2NBK1/1q1N4/1R1B1r2/P3r3/2QpPn2/R3QpNk/3bNn1n/2r3Rb b - - 0 1 636
4KbQN/2b2nP1/1P2NQ2/1rRpR1N1/B4prp/1b4Qb/p3p2k/2q1n3 b - - 0 1 640
6K1/1r2B2p/2BN1N1Q/R1n1b1P1/pR2bN2/2qkB1b1/Pbr2r2/2bnr2B b - - 0 1 642
Rq3B2/1bQQ1K2/1Q1qnpp1/rn2B3/4pP2/q1q4B/3N2rk/3nbRRb w - - 0 1 648
4Rq1q/1Bb1p3/Q1R1n1Nk/1p1N3p/r2bPP2/4bBbK/P2n2NB/3Br3 w - - 0 1 650
1B2k2q/N4nb1/K3Nrr1/bP1RqB2/1N2q3/NnRpBp1r/6P1/2Rb1Q2 w - - 0 1 651
RbQN2BK/n2r1Q2/Q1pP4/R2b4/1q1b2Nk/n1Rrrp2/1bQ2P2/2Rn4 w - - 0 1 652
4q3/bb2kB1N/2pRb1r1/P5bn/Nr2n1pb/1rRBNb2/KB4Q1/5b1Q w - - 0 1 658
N1b3qN/R1PQQ3/1K2N1N1/r1b4P/4NrB1/B1N4n/1b1nR2n/1B2qr1k w - - 0 1 665
1rnQN2q/2nQ2QK/5p2/NQB1q1pB/2R1pQ2/3n1qr1/4P3/qN1k1n2 w - - 0 1 669
4qrR1/rn2nq2/B3kPRP/2B3B1/2P1NBqn/3NN3/R1Q1r3/n1K2b2 w - - 0 1 679
2B3nQ/1K1R3b/2NbPb1n/1RB1RN2/Q3R3/qP1b3q/1rn2qR1/kr3b2 b - - 0 1 694
4nb1N/1kq1prn1/R1pn2r1/2R5/2Pq4/3NN1BQ/BnQ2Q1R/K2B1q1r b - - 0 1 694
3qnRR1/Q1Qb1KB1/6N1/PrB4N/3q3b/N2rRbq1/1N1p3P/k1q3nB w - - 0 1 706
3b1n1q/RRbr1n1N/Kp1P1pB1/2N2Qb1/5n1r/bR3Nk1/2bB2Bb/7q b - - 0 1 710
4B1R1/N3pn1b/NPRn1k2/2BBr3/1n1BbKpP/r2Qn1r1/2q4Q/4bn2 w - - 0 1 715
1n3Nq1/NNb4B/BnNQr3/R3bBN1/Pp4QK/3b2n1/2n2R2/q1k1r3 b - - 0 1 722
N1krq1R1/qrbr4/R2b2Qb/4R1n1/2B2Nb1/KNpN4/1n1n3Q/2B3qN w - - 0 1 724
3bqN1R/2pR2N1/q1kPb2n/P1Nr1r1q/P2Q2N1/4q2b/K4QQ1/3B2r1 w - - 0 1 726
QR1NKnN1/N3R1r1/r1r1pr2/kqpb2p1/1R2P3/7n/n1nP2B1/R3Q1b1 b - - 0 1 728
4bBR1/Nn2pB1q/1Q1b2n1/3Rn2N/2NqP1kr/q2n3P/2KQ4/1r1N2Br b - - 0 1 732
Kbrn4/pR1prQ2/R2Pp3/3Q2qk/2b2Rrq/3RBN1p/1B1R3P/2qB4 b - - 0 1 733
5rbr/NpQPr3/6N1/4NP1q/K1R1Np2/Prbq4/2Bq1k2/b1B4R b - - 0 1 735
kq1r2r1/1bQpb3/1pRNn3/1Q2N3/NnBNpr2/N3rPR1/1K2rq2/2B5 w - - 0 1 736
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8/kQ1p1KB1/2RPr1p1/1r4q1/6N1/1nbN1RQn/1pnNbrb1/1nn1R2N b - - 0 1 1458
3RnR2/r5N1/p2R1pNN/1rPQ2Q1/1Q4rn/B3K2b/qB3b1p/1Q1r2kB w - - 0 1 1492
5B1Q/1rNq3b/N6B/1bK1B2Q/Rn4P1/pNkP1n1p/1N2bRn1/6B1 b - - 0 1 1518
Q1qNr3/1Q2Nbp1/R2q1NQ1/1pPn2BK/1B2BB2/1b3r2/n1P5/k2B4 w - - 0 1 1532
1NN1BRq1/Bb1qn3/3N1RBn/6bK/4PR2/2qrNr2/1knR1Q1p/Q5q1 b - - 0 1 1533
1bR1Qr2/2RNp2p/p1K1B3/2prQpR1/4n3/rP2rBQ1/P2Q4/1k2q2n b - - 0 1 1546
1K2Brk1/Q3b1P1/1p1NR2q/B5qr/1n1p2B1/Q3n1B1/B1bqR1rr/N4r2 b - - 0 1 1558
q2b2rQ/q1b5/1QRP2Rn/nb1N3K/1Bb1b1n1/r6n/B2QQ1p1/1Q1N3k b - - 0 1 1561
1bRN4/3q4/N1KQ4/1P1p1Q2/1Q1Pb2q/2nb2Rr/1pq1p2N/q1nrk3 w - - 0 1 1574
1BqQK3/3RBn2/prB1p2R/r3B3/1P2B1n1/rB3Pq1/4B3/1qq1qk2 b - - 0 1 1617
B2R1b2/1b3Q2/2PNrR1p/Qp2nrkp/3q4/n1Qp2NB/2bb3B/r2bK3 w - - 0 1 1630
2QnR3/5K1P/5R1b/qNnBBn2/b1NnRPR1/5P1Q/kN1r2R1/2rb1b2 w - - 0 1 1736
1BNR2nB/QR1r4/NPQ2nBp/1qK5/Q4qk1/3P4/Nb2b3/r1R1Rrn1 w - - 0 1 1761
1BNqR1Q1/b2Q1NRr/3P2n1/3b1B1r/QQ6/PQ1P4/3nPrbn/4K1kr w - - 0 1 1794
1K1n3b/1P2n1N1/1Q1N2B1/4Rp1b/1n1B2bp/Rk1b2Q1/q1rqn2r/5Br1 b - - 0 1 1800
N1nb1R2/1k1K3b/2N2Q2/2Rq2BB/4Nrr1/q1rB4/2RpbbN1/1q1nQ1r1 w - - 0 1 1829
2N1K3/b1N2PNR/2N1Pb1n/1B2B3/1B2Rp2/R1nq4/pqNb3Q/1k1N4 b - - 0 1 1900
qk1n1Kn1/5Q1P/1r2bq2/np1p1B2/2bQR1rR/1b1Rbn2/1R2N2Q/3NB3 b - - 0 1 1925
1QbB4/BQ2KNb1/B4B2/R2Nr2N/r3pnB1/kb2q1r1/2r1n1RR/2n1R3 w - - 0 1 1931
3Q4/r3Nq2/1P1nkB1n/KR2p3/1N1qb3/R1N1Pn2/1Nb1qpBp/2br1Q2 w - - 0 1 1932
4BK2/3p2pb/B7/3b1P1n/1pq1N1qB/2BnRrQR/qkP3nr/2Nb4 b - - 0 1 1983
bRKR2q1/2QBP3/2Qp1Rk1/pN2n3/P4b1n/1q1qq2q/1r1P2n1/1bBN1r2 b - - 0 1 2033
2rb4/pnBp3B/2NP2BN/RR1n1bP1/1QQR1q1p/P1R4n/K3pk2/3B1r2 b - - 0 1 2046
1KQR2r1/1n4b1/NB2r2n/2nrQ3/b3PNBb/pb2Pk2/4b3/N3r1q1 b - - 0 1 2181
q3R1N1/R3qRB1/Q1nb3p/1ppP1N1K/1RR1B1p1/2b2q1n/3Pk3/3bB3 w - - 0 1 2283
2BQQ1Q1/2B1nR2/N2nr1r1/pqR2rrN/R2P1q2/1Q1R2r1/1PN4k/K7 w - - 0 1 2374
2qNqRK1/Q4QP1/rnNP3R/b1q1r3/1qB3nB/3kb3/4bRbb/1q2r3 b - - 0 1 2666

[Uri Blass]

I proved this position also to be a draw(I think it should be easy for engine to prove that white is winning if draw is a repetition is a win for white and that black is winning if repetition is a win for black)

[d]1Nn1Q2R/6R1/k2nqr2/3Bbn1N/N6B/K3bQbR/3rR1Qq/4qrq1 b - - 0 1 0

Ka5 is the only legal move and now white can force a draw by 2.Nc6+ Ka6(only non losing move) 3.Nb8+ and we got the same root position again.

We need only to prove that white does not win.
It is a little more complicated but here is the proving tree that lead to repetition(if white try something different that is not suggested in the lines then white get mated)

[pgn][Event "Computer chess game"]
[Site "DESKTOP-7QE6S12"]
[Date "2025.04.22"]
[Round "?"]
[White "àåøé"]
[Black "àåøé"]
[Result "*"]
[BlackElo "2400"]
[Time "04:13:55"]
[WhiteElo "2400"]
[TimeControl "300+3"]
[SetUp "1"]
[FEN "1Nn1Q2R/6R1/k2nqr2/3Bbn1N/N6B/K3bQbR/3rR1Qq/4qrq1 b - - 0 1"]
[Termination "unterminated"]
[PlyCount "18"]
[WhiteType "human"]
[BlackType "human"]

1. ...+ Ka5 2. Nc6+ (2. Qd8+ Bb6 3. Nc6+ (3. Qc3+ Bxc3 4. Nc6+ Ka6 5. Nb8+
Ka5) 3. .. Ka6 4. Nb8+ Ka5) 2. .. Ka6 3. Nb4+ (3. Nb8+) 3. .. Ka5 4. Qd8+
(4. Nc6+) 4. .. Bb6 5. Nc6+ Ka6 6. Nb8+ Ka5 7. Qc3+ (7. Nc6+) 7. .. Bxc3 8.
Nc6+ Ka6 9. Nb8+ Ka5 10. Nc6+ *
[/pgn]

[Uri Blass]

This was position number 2.
Position number 3 is a proved mate against white and it seems that you used the wrong engine to analyze it.

SlowChess claims mate in 13 against white

1.Kxd1 a1=Q+ 2.Qb1(or 2.Kd2 Nxb7 mate in 10) Qxg6 3.Bxg2+(or 3.Qxa1 Rxa1+ 4.Kd2 Nxb7 mate in 10) Bxg2 4.Qxa1 Rxa1+
and chest claims mate in 9 against itself by 5.Kd2 Rhh3

I verified by Chest that 2.Kd2 Nxb7 is a mate against white and chest claims 3.Be4 is best with mate in 9 against white and also that 4.Kd2 Nxb7 is a forced mate when chest claims 5.Kxc3 is best with mate in 9 against white

1R1n3R/1Br2q2/4pNB1/rQQ1P2r/1N6/1Pr4b/p1QnKRr1/3r2nk w - - 0 1

[Uri Blass]

slowchess claims also a forced mate against white in position number 4 in the positions you give:
[d]1b1B2NQ/nQ1R3B/bBqqr3/Nk1r1rRR/3r4/rN5K/4nqP1/2QR4 w - - 0 1


Slow64-avx2 [001]:
2/1 00:00 18k 0 +3.48 Qb7xa6+ Kb5xa6
3/5 00:00 88k 8,822k +4.16 Bb6xd4+ Ba6xb7 Rd7xb7+ Kb5-a4 Rb7-b4+ Ka4xb4
4/7 00:00 99k 9,943k +4.16 Bb6xd4+ Ba6xb7 Rd7xb7+ Kb5-a4 Rb7-b4+ Ka4xb4
5/7- 00:00 143k 7,134k +3.75 Bb6xd4+ Ba6xb7
5/9- 00:00 249k 4,984k +2.93 Bb6xd4+ Ba6xb7
5/9- 00:00 444k 5,551k -1.99 Bb6xd4+ Ba6xb7
5/9 00:00 627k 5,700k -2.52 Bb6xd4+ Ba6xb7 Qc1xc6+ Na7xc6 Rd7xd6 Nc6xd4 Na5xb7 Ra3xb3+ Kh3-h2 Rf5xg5
6/10+ 00:00 694k 5,781k +4.16 Bb6xd4+
6/10 00:00 704k 5,870k -2.80 Bb6xd4+ Ba6xb7 Rd7xb7+ Kb5-a4 Qc1xa3+ Qd6xa3 Bh7xf5
6/10 00:00 747k 5,337k -2.64 Bb6xd4+ Ba6xb7 Rd7xb7+ Kb5-a4 Qc1xa3+ Qd6xa3 Bh7xf5 Ne2-f4+ Kh3-h2
7/11+ 00:00 804k 5,363k -2.34 Bb6xd4+
7/11+ 00:00 806k 5,372k -1.74 Bb6xd4+
7/11+ 00:00 807k 5,380k -0.54 Bb6xd4+
7/11 00:00 815k 5,434k -0.32 Bb6xd4+ Ba6xb7 Rd7xd6 Ra3xb3+ Na5xb3 Qc6xd6 Bd8-c7 Bb8xc7 Bd4xf2 Qd6-h2+ Kh3-g4
7/11 00:00 836k 5,223k -0.08 Bb6xd4+ Ba6xb7 Rd7xd6 Ra3xb3+ Na5xb3 Qc6xd6 Bd8-c7 Ne2xc1 Bd4xf2
8/11+ 00:00 857k 5,359k +0.16 Bb6xd4+
8/11 00:00 867k 5,417k +0.16 Bb6xd4+ Ba6xb7 Rd7xd6 Ra3xb3+ Na5xb3 Qc6xd6 Bd8-c7 Bb8xc7 Qc1xc7 Qd6xc7 Bd4xf2 Rf5xf2 Bh7-d3+ Kb5-b4 Rg5xd5 Bb7xd5
8/11 00:00 871k 5,121k +0.16 Bb6xd4+ Ba6xb7 Rd7xd6 Ra3xb3+ Na5xb3 Qc6xd6 Bd8-c7 Bb8xc7 Qc1xc7 Qd6xc7 Bd4xf2 Rf5xf2 Bh7-d3+
9/17- 00:00 943k 5,240k -0.08 Bb6xd4+ Ba6xb7
9/17- 00:00 1,063k 5,064k -0.56 Bb6xd4+ Ba6xb7
9/17+ 00:00 1,111k 5,049k -0.20 Bb6xd4+
9/17- 00:00 1,124k 4,886k -1.52 Bb6xd4+ Ba6xb7
9/17+ 00:00 1,248k 4,801k -0.62 Bb6xd4+
9/17 00:00 1,252k 4,817k -0.56 Bb6xd4+ Ba6xb7 Rd7xd6 Ra3xb3+ Na5xb3 Qc6xd6 Bd8-c7 Bb8xc7 Qc1xc7 Re6-e3+ Bd4xe3 Qf2xe3+
9/17- 00:00 1,429k 4,762k -3.44 Bb6xd4+ Ba6xb7
9/17 00:00 2,196k 4,575k -4.48 Bb6xd4+ Ba6xb7 Rd7xb7+ Kb5-a4 Qc1xa3+ Qd6xa3 Bh7xf5 Qf2xf5+ Rg5xf5 Qc6-d6 Rb7-b4+ Ka4xb4 Bd4-c3+ Ne2xc3 Qh8xc3+ Kb4xc3 Bd8-f6+
10/19- 00:00 2,765k 4,686k -5.12 Bb6xd4+ Ba6xb7
10/19- 00:00 3,349k 4,526k -6.40 Bb6xd4+ Ba6xb7
10/19+ 00:00 3,454k 4,485k -6.39 Qc1xc6+
10/19 00:01 4,907k 4,629k -6.60 Bb6xd4+ Ba6xb7 Rd7xb7+ Kb5-a4 Qc1xa3+ Qd6xa3 Bh7xf5 Qf2xf5+ Rg5xf5 Qc6-d6 Rb7-b4+ Ka4xb4 Bd4-c3+ Ne2xc3 Qh8xc3+ Kb4xc3 Rf5-f3+ Kc3-b4 Rh5-h4+ Re6-e4
11/23+ 00:01 5,537k 4,576k -5.93 Bb6xd4+
11/23 00:01 5,555k 4,591k -4.84 Bb6xd4+ Ba6xb7 Rd7xb7+ Kb5-a4 Rb7-b4+ Qd6xb4 Bd4xf2 Ne2xc1 Rh5-h4 Ra3xb3+ g2-g3 Rb3xg3+ Bf2xg3
11/23+ 00:01 5,611k 4,599k -4.59 Bb6xd4+
11/23 00:01 5,626k 4,574k -3.44 Bb6xd4+ Ba6xb7 Rd7xb7+ Kb5-a4 Rb7-b4+ Qd6xb4 Bd4xf2 Qc6xc1 Rd1xc1 Ne2-f4+ Kh3-g4 Nf4-g6+ Rc1-c4 Re6-e4+ Kg4-h3
11/23+ 00:01 5,766k 4,576k -1.91 Bb6xd4+
11/23- 00:01 5,942k 4,570k -7.71 Bb6xd4+ Ba6xb7
11/23 00:01 7,180k 4,574k -2.84 Bb6xd4+ Ba6xb7 Rd7xb7+ Kb5-a4 Rb7-b4+ Qd6xb4 Bd4xf2 Ne2xc1 Rh5-h4 Ra3xb3+ Na5xb3 Rf5-f4 Rh4xf4 Qb4xf4 Qh8-a1+ Ka4-b4 Bd8-a5+
11/23 00:01 8,117k 4,560k -9.16 Bb6xd4+ Ba6xb7 Rd7xb7+ Kb5-a4 Rb7-b4+ Qd6xb4 Bd4xf2 Ne2xc1 Rd1xd5 Qc6xd5 Bf2-g3 Rf5xg5 Bd8xg5 Bb8xg3 Kh3xg3
12/23+ 00:02 10,193k 4,786k -8.09 Bb6xd4+
12/23+ 00:02 10,194k 4,786k -5.95 Bb6xd4+
12/23+ 00:02 10,194k 4,786k -1.67 Bb6xd4+
12/23 00:02 10,198k 4,788k -0.01 Bb6xd4+ Ba6xb7 Rd7xd6 Ra3xb3+ Na5xb3 Qc6xd6 Qc1-c4+ Kb5xc4 Nb3-d2+ Kc4-b4 Rd1-b1+ Kb4-a4 Rb1-a1+ Ka4-b5 Ra1-b1+ Kb5-a4
12/23 00:02 10,373k 4,780k -0.01 Bb6xd4+ Ba6xb7 Rd7xd6 Ra3xb3+ Na5xb3 Qc6xd6 Qc1-c4+ Kb5xc4 Nb3-d2+ Kc4-b4 Rd1-b1+ Kb4-a4 Rb1-a1+ Ka4-b5 Ra1-b1+ Kb5-a4
13/23+ 00:02 10,469k 4,780k +0.23 Bb6xd4+
13/23 00:02 10,488k 4,789k +0.01 Bb6xd4+ Ba6xb7 Rd7xd6 Ra3xb3+ Na5xb3 Qc6xd6 Qc1-c4+ Kb5xc4 Nb3-d2+ Kc4-b4 Rd1-b1+ Kb4-a4 Rb1-a1+ Ka4-b5 Ra1-b1+ Kb5-a4
13/23 00:02 10,541k 4,770k +0.01 Bb6xd4+ Ba6xb7 Rd7xd6 Ra3xb3+ Na5xb3 Qc6xd6 Qc1-c4+ Kb5xc4 Nb3-d2+ Kc4-b4 Rd1-b1+ Kb4-a4 Rb1-a1+ Ka4-b5 Ra1-b1+ Kb5-a4
14/23+ 00:02 10,582k 4,788k +0.25 Bb6xd4+
14/25 00:02 10,602k 4,776k -0.02 Bb6xd4+ Ba6xb7 Rd7xd6 Ra3xb3+ Na5xb3 Qc6xd6 Qc1-c4+ Kb5xc4 Nb3-d2+ Kc4-b4 Rd1-b1+ Kb4-a4 Rb1-a1+ Ka4-b5 Ra1-b1+ Kb5-a4
14/26 00:02 10,742k 4,774k -0.01 Bb6xd4+ Ba6xb7 Rd7xd6 Ra3xb3+ Na5xb3 Qc6xd6 Qc1-c4+ Kb5xc4 Nb3-d2+ Kc4-b4 Rd1-b1+ Kb4-a4 Rb1-a1+ Ka4-b5 Ra1-b1+ Kb5-a4
15/27- 00:02 12,773k 4,802k -0.25 Bb6xd4+ Ba6xb7
15/27- 00:02 13,455k 4,788k -0.73 Bb6xd4+ Ba6xb7
15/27- 00:03 15,870k 4,853k -3.61 Bb6xd4+ Ba6xb7
15/29 00:03 18,830k 4,942k -4.96 Bb6xd4+ Ba6xb7 Rd7xd6 Qc6xc1 Rd1xc1 Ra3xb3+ Na5xb3 Ne2-f4+ Kh3-h2 Rf5xg5 Bh7-d3+ Nf4xd3 Bd4xf2 Rg5xh5+ Kh2-g1 Rh5xh8 Rd6xd5+ Bb7xd5 Nb3-d4+ Kb5-a6 Rc1-a1+ Ka6-b7 Nd4xe6 Bd5xe6 Ra1-b1+ Kb7-a8 Bf2xa7 Bb8xa7+
16/29+ 00:04 19,928k 4,970k -4.48 Bb6xd4+
16/29+ 00:04 19,932k 4,971k -3.52 Bb6xd4+
16/29+ 00:04 20,576k 4,982k +2.24 Bb6xd4+
16/29 00:04 20,621k 4,993k -4.96 Bb6xd4+ Ba6xb7 Rd7xd6 Qc6xc1 Rd1xc1 Ra3xb3+ Na5xb3 Ne2-f4+ Kh3-h2 Rf5xg5 Bh7-d3+ Nf4xd3 Bd4xf2 Rg5xh5+ Kh2-g1 Rh5xh8 Rd6xd5+ Bb7xd5 Nb3-d4+ Kb5-a6 Rc1-a1+ Ka6-b7 Nd4xe6 Bd5xe6 Ra1-b1+ Kb7-a8 Bf2xa7 Bb8xa7+
16/29- 00:04 20,786k 4,997k -5.69 Bb6xd4+ Ba6xb7
16/29 00:04 21,387k 5,009k -6.32 Bb6xd4+ Ba6xb7 Rd7xd6 Qc6xc1 Rd1xc1 Ra3xb3+ Na5xb3 Ne2-f4+ Kh3-h2 Rf5xg5 Bh7-d3+ Nf4xd3 Bd4xf2 Rg5xh5+ Kh2-g1 Rh5xh8 Rd6xd5+ Bb7xd5 Nb3-d4+ Kb5-a6 Rc1-a1+ Ka6-b7 Nd4xe6 Bd5xe6 Ra1-b1+ Kb7-a8 Bf2xa7 Bb8xa7+ Bd8-b6 Rh8xg8
16/32 00:04 23,692k 5,084k -6.64 Bb6xd4+ Ba6xb7 Rd7xd6 Qc6xc1 Rd1xc1 Ra3xb3+ Na5xb3 Ne2-f4+ Kh3-h2 Rf5xg5 Bh7-d3+ Nf4xd3 Bd4xf2 Rg5xh5+ Kh2-g1 Rh5xh8 Rd6xd5+ Bb7xd5 Nb3-d4+ Kb5-a6 Rc1-a1+ Ka6-b7 Nd4xe6 Rh8xg8 Ra1-b1+ Kb7-a8 Bf2xa7 Bb8xa7+ Kg1-f1 Bd5xe6 Bd8-b6 Rg8-f8+ Kf1-e2 Ba7xb6
17/39 00:06 32,676k 5,287k -6.72 Bb6xd4+ Ba6xb7 Rd7xd6 Qc6xc1 Rd1xc1 Ra3xb3+ Na5xb3 Ne2-f4+ Kh3-h2 Rf5xg5 Bh7-d3+ Nf4xd3 Bd4xf2 Rg5xh5+ Kh2-g1 Rh5xh8 Rd6xd5+ Bb7xd5 Nb3-d4+ Kb5-a6 Rc1-a1+ Ka6-b7 Nd4xe6 Bd5xe6 Ra1-b1+ Kb7-a8 Rb1-a1 Nd3xf2 Kg1xf2 Rh8xg8 Bd8-b6 Ka8-b7 Ra1-b1 Rg8-f8+ Kf2-e2 Kb7-c6 Bb6xa7 Bb8xa7
18/45 00:08 43,535k 5,239k -7.64 Bb6xd4+ Ba6xb7 Rd7xd6 Qc6xc1 Rd1xc1 Ra3xb3+ Na5xb3 Ne2-f4+ Kh3-h2 Rf5xg5 Bh7-d3+ Nf4xd3 Bd4xf2 Rg5xh5+ Kh2-g1 Rh5xh8 Rd6xd5+ Bb7xd5 Nb3-d4+ Kb5-a6 Rc1-a1+ Ka6-b7 Nd4xe6 Rh8xg8 Ne6-c5+ Nd3xc5 Bf2xc5 Na7-b5 Bd8-c7 Bb8xc7 Ra1-b1 Kb7-c6 Rb1-c1 Nb5-d6 Bc5xd6+ Kc6xd6 Rc1-c2 Rg8-g4 Kg1-h2 Kd6-d7+ Kh2-g1 Bc7-e5
19/45 00:12 53,448k 4,317k -7.60 Bb6xd4+ Ba6xb7 Rd7xd6 Qc6xc1 Rd1xc1 Ra3xb3+ Na5xb3 Ne2-f4+ Kh3-h2 Rf5xg5 Bh7-d3+ Nf4xd3 Bd4xf2 Rg5xh5+ Kh2-g1 Rh5xh8 Rd6xd5+ Bb7xd5 Nb3-d4+ Kb5-a6 Rc1-a1+ Ka6-b7 Ra1-b1+ Kb7-c8 Ng8-f6 Re6xf6 Bd8xf6 Rh8-h5 Bf6-e5 Bb8xe5 Bf2-e3 Be5-h2+ Kg1-f1 Bh2-f4 Be3-g1 Bd5-e4 Rb1-d1 Na7-b5 Nd4xb5 Rh5xb5
20/52 00:16 72,904k 4,327k -7.44 Bb6xd4+ Ba6xb7 Rd7xd6 Qc6xc1 Rd1xc1 Ra3xb3+ Na5xb3 Ne2-f4+ Kh3-h2 Rf5xg5 Bh7-d3+ Nf4xd3 Bd4xf2 Rg5xh5+ Kh2-g1 Rh5xh8 Rd6xd5+ Bb7xd5 Nb3-d4+ Kb5-a6 Rc1-a1+ Ka6-b7 Ra1-b1+ Kb7-c8 Ng8-f6 Re6xf6 Bd8xf6 Rh8-h5 Bf6-h4 Bb8-e5 Rb1-d1 Bd5-e4 Nd4-e2 Na7-c6 Bh4-g3 Be5-g7 Rd1-f1 Rh5-a5 Ne2-c3 Bg7xc3 Bf2-e3 Nc6-e5 Rf1-f8+ Kc8-b7
21/52 00:23 112,499k 4,775k -7.76 Bb6xd4+ Ba6xb7 Rd7xd6 Qc6xc1 Rd1xc1 Ra3xb3+ Na5xb3 Ne2-f4+ Kh3-h2 Rf5xg5 Bh7-d3+ Nf4xd3 Bd4xf2 Rg5xh5+ Kh2-g1 Rh5xh8 Rd6xd5+ Bb7xd5 Nb3-d4+ Kb5-a6 Rc1-a1+ Ka6-b7 Ra1-b1+ Kb7-c8 Ng8-e7+ Re6xe7 Bd8xe7 Bb8-h2+ Kg1-f1 Bh2-f4 Kf1-g1 Na7-c6 Nd4xc6 Bd5xc6 Rb1-b3 Bc6-e4 Rb3-c3+ Kc8-d7 Rc3-c4 Be4-g6 Rc4-d4+ Kd7-c6 Be7-d6 Bf4xd6 Rd4-g4 Bg6-f5 Rg4-h4 Rh8xh4 Bf2xh4
22/52- 00:30 149,738k 4,980k -9.20 Bb6xd4+ Ba6xb7
22/52- 00:58 314,429k 5,369k -12.08 Bb6xd4+ Ba6xb7
22/52+ 01:14 404,975k 5,466k -10.07 Bb6xd4+
22/52 01:25 478,527k 5,570k -17.04 Bb6xd4+ Ba6xb7 Rd7xd6 Qc6xc1 Rd1xc1 Ra3xb3+ Na5xb3 Rf5-f3+ Kh3-h2 Bb8xd6+ Bd4-e5 Re6xe5 Rg5xe5 Rf3xb3 Kh2-h1 Ne2-g3+ Kh1-h2 Ng3xh5 Bh7-d3+ Rb3xd3 Rc1-b1+ Kb5-a4 Rb1-a1+ Ka4-b3 Ra1-b1+ Kb3-c2 Rb1-c1+ Kc2xc1 Bd8-g5+ Nh5-f4 Re5-e1+ Kc1-c2 Re1-c1+ Kc2xc1 Qh8-a1+ Kc1-d2 Qa1-b2+ Kd2-e1
22/52- 01:36 543,293k 5,637k -17.84 Bb6xd4+ Ba6xb7
22/52+ 01:48 616,649k 5,691k -13.11 Bb6xd4+
22/52 01:48 616,890k 5,691k -17.04 Bb6xd4+ Ba6xb7 Rd7xd6 Qc6xc1 Rd1xc1 Ra3xb3+ Na5xb3 Rf5-f3+ Kh3-h2 Bb8xd6+ Bd4-e5 Re6xe5 Rg5xe5 Rf3xb3 Kh2-h1 Ne2-g3+ Kh1-h2 Ng3xh5 Bh7-d3+ Rb3xd3 Rc1-b1+ Kb5-a4 Rb1-a1+ Ka4-b3 Ra1-b1+ Kb3-c2 Rb1-c1+ Kc2xc1 Bd8-g5+ Nh5-f4 Re5-e1+ Kc1-c2 Re1-c1+ Kc2xc1 Qh8-a1+ Kc1-d2 Qa1-b2+
22/52 01:51 635,657k 5,700k -17.76 Bb6xd4+ Ba6xb7 Rd7xb7+ Kb5-a4 Rb7-b4+ Ka4xb4 Na5xc6+ Na7xc6 Bd8-a5+ Kb4-b5 Qc1xc6+ Kb5xc6 Ng8-e7+ Re6xe7 Qh8-c8+ Kc6-b5 Qc8xb8+ Qd6xb8 Bd4xf2 Ra3xb3+ g2-g3 Ne2-f4+ Kh3-h2 Rf5xg5 Rd1xd5+ Rg5xd5 Rh5-h4 Kb5xa5 g3xf4
23/52- 02:00 688,861k 5,735k -24.30 Bb6xd4+ Ba6xb7
23/52- 02:35 910,186k 5,857k -M24 Bb6xd4+ Ba6xb7
23/52 02:37 921,682k 5,859k -M20 Bb6xd4+ Ba6xb7 Rd7xb7+ Kb5-a4 Rb7-b4+ Ka4xb4 Na5xc6+ Na7xc6 Qh8-e5 Qd6xe5 Qc1-d2+ Kb4xb3 Qd2-d3+ Kb3-a4 Qd3xa3+ Ka4xa3 Rd1-a1+ Ka3-b3 Ra1-b1+ Kb3-c4 Bd4xe5 Nc6xe5 Rh5-h4+ Rf5-f4 Rb1-c1+ Kc4-b3 Rh4-g4 Ne5xg4 Bh7-c2+ Kb3-b2 Rc1-b1+ Kb2xc2 Rb1-b2+ Kc2xb2 Rg5xg4 Re6-e3+ g2-g3 Re3xg3+ Rg4xg3 Qf2xg3+
24/52 02:45 974,085k 5,879k -M20 Bb6xd4+ Ba6xb7 Rd7xd6 Qc6xc1 Rd1xc1 Ra3xb3+ Na5xb3 Rf5-f3+ Kh3-h2 Bb8xd6+ Bd4-e5 Re6xe5 Rg5xe5 Rf3xb3 Bh7-e4 Qf2-f4+ g2-g3 Qf4xg3+ Kh2-h1 Bd6xe5 Rh5xe5 Rd5xe5 Be4xb7 Ne2xc1 Qh8xe5+ Qg3xe5 Bd8-h4 Rb3-h3+ Kh1-g2 Rh3xh4 Bb7-f3 Rh4-h2+ Kg2-f1 Qe5-f4 Kf1-g1 Qf4-g3+
25/52 02:53 1,023,790k 5,898k -M19 Bb6xd4+ Ba6xb7 Rd7xd6 Qc6xc1 Rd1xc1 Ra3xb3+ Na5xb3 Rf5-f3+ Kh3-h2 Bb8xd6+ Bd4-e5 Re6xe5 Rg5xe5 Rf3xb3 Bh7-e4 Qf2-f4+ g2-g3 Qf4xg3+ Kh2-h1 Bd6xe5 Rh5xe5 Rd5xe5 Be4xb7 Ne2xc1 Bb7-a6+ Kb5xa6 Qh8-f6+ Ka6-b7 Qf6xe5 Qg3xe5 Bd8-c7 Kb7xc7 Kh1-g2 Rb3-g3+ Kg2-h2 Rg3xg8+ Kh2-h3 Qe5-h8+
26/52 03:07 1,103,751k 5,901k -M18 Bb6xd4+ Ba6xb7 Rd7xd6 Qc6xc1 Rd1xc1 Ra3xb3+ Na5xb3 Rf5-f3+ Kh3-h2 Bb8xd6+ Bd4-e5 Re6xe5 Rg5xe5 Rf3xb3 Bh7-e4 Qf2-f4+ g2-g3 Qf4xg3+ Kh2-h1 Bd6xe5 Rh5xe5 Rd5xe5 Be4xb7 Ne2xc1 Bb7-a6+ Kb5xa6 Qh8-f6+ Ka6-b7 Qf6xe5 Qg3xe5 Bd8-c7 Qe5-e2 Kh1-g1 Rb3-b2 Bc7-a5 Qe2-g2+
27/52 03:22 1,197,550k 5,921k -M18 Bb6xd4+ Ba6xb7 Rd7xd6 Qc6xc1 Rd1xc1 Ra3xb3+ Na5xb3 Rf5-f3+ Kh3-h2 Bb8xd6+ Bd4-e5 Re6xe5 Rg5xe5 Rf3xb3 Bh7-e4 Qf2-f4+ g2-g3 Qf4xg3+ Kh2-h1 Bd6xe5 Rh5xe5 Rd5xe5 Be4xb7 Ne2xc1 Bb7-a6+ Kb5xa6 Qh8-f6+ Ka6-b7 Qf6xe5 Qg3xe5 Bd8-c7 Qe5-e2 Kh1-g1 Rb3-b2 Bc7-a5 Qe2-g2+
28/52 03:32 1,256,196k 5,924k -M18 Bb6xd4+ Ba6xb7 Rd7xd6 Qc6xc1 Rd1xc1 Ra3xb3+ Na5xb3 Rf5-f3+ Kh3-h2 Bb8xd6+ Bd4-e5 Re6xe5 Rg5xe5 Rf3xb3 Bh7-e4 Qf2-f4+ g2-g3 Qf4xg3+ Kh2-h1 Bd6xe5 Rh5xe5 Rd5xe5 Be4xb7 Ne2xc1 Bb7-a6+ Kb5xa6 Qh8-f6+ Ka6-b7 Qf6xe5 Qg3xe5 Bd8-c7 Qe5-e2 Kh1-g1 Rb3-b2 Bc7-a5 Qe2-g2+

[Uri Blass]

last positions are probably also not hard to prove to be forced mates
[d]2qNqRK1/Q4QP1/rnNP3R/b1q1r3/1qB3nB/3kb3/4bRbb/1q2r3 b - - 0 1

2374 is mate in at most 10.moves
2283 is harder for slowchess but I guess that there are better mate finders than old slowchess
Slow64-avx2 [001]:
2/2 00:00 7k 0 -44.32 Nb6xc4 Nc6xe5+ Bh2xe5
3/3 00:00 123k 12,252k -35.56 Kd3-c3 Rf2-f5 Qe8xf7+ Kg8-h8 Qf7xf8+ g7-g8Q Qf8xg8+
4/5+ 00:00 139k 13,866k -22.68 Kd3-c3
4/5+ 00:00 141k 14,130k +14.64 Kd3-c3
4/5 00:00 223k 7,449k +28.16 Kd3-c3 Kg8-h8 Qe8xf8+ Qf7xf8 Qb4xc4
5/9 00:00 261k 8,707k +28.40 Kd3-c3 Kg8-h8 Qe8xf8+ Qf7xf8 Qb4xc4 Rf2xe2 Re1xe2
6/11 00:00 326k 8,146k +29.24 Kd3-c3 Kg8-h8 Qe8xf8+ Qf7xf8 Qb4xc4 d6-d7 Qc8xd7 Qa7xd7 Qc5xf8+
7/13 00:00 1,282k 7,543k +34.00 Kd3-c3 Kg8-h8 Qe8xf7 Qa7xf7 Ng4xh6 Qf7-f6 Bg2xc6 Nd8xc6 Qc8xc6 Rf2xe2 Re1xe2 Bc4xe2
8/13 00:00 1,314k 7,303k +34.00 Kd3-c3 Kg8-h8 Qe8xf7 Qa7xf7 Ng4xh6 Qf7-f6 Bg2xc6 Nd8xc6 Qc8xc6 Rf2xe2 Re1xe2 Bc4xe2
9/14 00:00 1,978k 7,326k +34.68 Kd3-c3 Kg8-h8 Qe8xf7 Qa7xf7 Ng4xh6 Qf7-f6 Bg2xc6 Nd8xc6 Qc5xc6 Rf2xe2 Re1xe2 Bc4xe2 Qb4xd6
10/17 00:00 4,485k 7,234k +36.92 Kd3-c3 Kg8-h8 Qe8xf7 Qa7xf7 Bg2xc6 Nd8xc6 Ng4xh6 Qf7-f6 Nb6-d7 Nc6xb4 Nd7xf6 Rf2xf6 Be2xc4 Bh4xe1+
11/21 00:01 8,262k 7,122k +39.04 Kd3-c3 Kg8-h8 Qe8xf7 Rf2xf7 Ra6xa7 Nc6xb4 Ng4xh6 Bh4xe1+ Qb1xe1 Rf7xa7 Be2xc4 Ra7-c7 Ba5xb4 Rc7xc8 Qc5xc8
12/21 00:02 14,637k 7,071k +39.12 Kd3-c3 Rf2-f6 Qe8xf7+ Qa7xf7 Be2xc4 Bh4xe1+ Qb1xe1 Nc6xb4 Bc4xf7+ Nd8xf7 Be3xh6 Nb4-a2+ Kc3-b3 Rf6-g6 Re5-h5 Rf8xc8 Qc5xc8+ Kg8-h7 Bh6xg7+ Kh7xg7 Kb3xa2
12/21+ 00:02 15,594k 7,024k +39.13 Qb4xc4
12/21 00:03 20,372k 6,701k +44.52 Qb4xc4 Kg8-h8 Qe8xf7 Qa7xf7 Ng4xh6 Qf7-g6+ Kd3-c3 Rf2-f4 Qb1xg6 Bh4xe1+ Kc3-b3 Nc6xa5+ Ra6xa5 Rf4xc4 Be2xc4 Be1xa5 Qc5xa5
13/21 00:04 29,652k 6,531k +48.16 Qb4xc4 Rh6-h7 Qe8xf7+ Qa7xf7 Be3xf2 Nc6-e7 Bg2-e4 Kg8-h8 Be4xh7 Ne7-d5 Bf2xh4 Nd5xb6 Ba5xb6 d6-d7
14/25 00:06 40,232k 6,376k +51.16 Qb4xc4 Nc6xe5+ Bh2xe5 Rh6-e6 Qe8xf7+ Qa7xf7 Be3xf2 Bh4-g3 Bf2xg3 Re6-g6 Qc4xf7+ Nd8xf7 Kd3-c3 Rg6xg4 Qc8xg4 Nf7xe5 Bg3xe5
15/25 00:14 89,634k 6,212k +57.52 Qb4xc4 Kg8-h8 Qe8xf7 Qa7xf7 Ng4xh6 Qf7-g6+ Bg2-e4 d6-d7 Nb6xd7 Nd8-e6 Be4xg6 Bh4-g5 Qc5xc6 Bg5xh6 Be3xf2 Rf8xc8 Qc6xc8+
16/27 00:26 163,785k 6,082k +64.28 Qb4xc4 Rh6-h7 Qe8xf7+ Qa7xf7 Be3xf2 Kg8-h8 Bf2xh4 d6-d7 Nb6xd7 Nd8-e6 Qc4xe6 Nc6-b4+ Ba5xb4 Rf8xc8 Qc5xc8+ g7-g8Q Bh4-f6+ Rh7-g7 Qe6xf7
17/29 00:38 232,662k 5,970k +70.08 Qb4xc4 Rh6-h7 Qe8xf7+ Qa7xf7 Be3xf2 Kg8-h8 Bf2xh4 d6-d7 Nb6xd7 Qf7-g6+ Bg2-e4 g7-g8Q Be4xg6 Qg8xg6+ Kd3-c3 Nc6-e7 Ra6xg6 Rf8-f3+ Be2xf3 Ne7-d5+ Bf3xd5
18/29 00:46 275,712k 5,952k +M14 Qb4xc4 Rh6-h7 Be3xf2 Kg8-h8 Qe8xf7 Qa7xf7 Bf2xh4 Qf7xc4+ Qc5xc4 Rh7xh4 Bg2xc6 Rh4-h7 Bc6-d5 Rh7-h3+ Re5-e3 Rh3-h5 Bh2xd6 g7-g8Q Bd5xg8 Rf8xg8 Qb1-b2+ Kh8-h7 Qc8-d7+ Nd8-f7 Qc4xf7+ Rg8-g7 Qb2xg7+
19/29 00:47 281,314k 5,952k +M14 Qb4xc4 Rh6-h7 Qe8xf7+ Qa7xf7 Be3xf2 Kg8-h8 Bf2xh4 Qf7xc4+ Qc5xc4 Rh7xh4 Bg2xc6 Rh4-h7 Bc6-d5 Rh7-h3+ Re5-e3 Rh3-h5 Bh2xd6 g7-g8Q Bd5xg8 Rf8xg8 Qb1-b2+ Kh8-h7 Qc4-e4+ Rh5-f5 Qc8xf5+
20/29 00:50 302,085k 5,938k +M13 Qb4xc4 Rh6-h7 Qe8xf7+ Qa7xf7 Be3xf2 Kg8-h8 Bf2xh4 Qf7xc4+ Qc5xc4 Rh7xh4 Bg2xc6 Rh4-h7 Re5-e8 Rf8xe8 Bc6xe8 Rh7-h3+ Ng4-e3 Rh3-h5 Qc8xd8 g7-g8Q Ba5-c3+ Kh8-h7 Qc4xg8+ Kh7xg8 Be8-g6+
21/29 00:54 320,873k 5,938k +M13 Qb4xc4 Rh6-h7 Qe8xf7+ Qa7xf7 Be3xf2 Kg8-h8 Bf2xh4 g7-g8Q Bh4-f6+ Qf7xf6 Qc4xg8+ Rf8xg8 Ng4xf6 Rh7-h6 Nf6xg8 Kh8-g7 Ng8xh6 Nc6-b4+ Ba5xb4 Kg7-h8 Qc8xd8+ Kh8-g7 Qc5xd6 Kg7-h7 Qd8-g8+
22/29 03:09 1,064,426k 5,606k +M10 Qb4xc4 Rh6-h7 Ra6xa7 Bh4-e7 Qe8xf7+ Nd8xf7 Be3xf2 Rf8xc8 Qc4xf7+ Kg8-h8 Re5-h5 g7-g8Q Ba5-c3+ Nc6-e5+ Bh2xe5+ Be7-f6 Rh5xh7+ Qg8xh7+ Qf7xh7+
23/29 03:10 1,068,009k 5,605k +M10 Qb4xc4 Rh6-h7 Ra6xa7 d6-d7 Be3xf2 d7xe8Q Re5xe8 Qf7xc4+ Kd3xc4 Nc6xa5+ Ra7xa5 Rf8xe8 Bg2-d5+ Kg8-h8 Qb1xh7+ Kh8xh7 Qc8-f5+ Kh7-h8 Qf5-h5+
24/29 03:22 1,135,593k 5,610k +M10 Qb4xc4 Rh6-h7 Ra6xa7 d6-d7 Be3xf2 d7xe8Q Re5xe8 Qf7xc4+ Kd3xc4 Nc6xa5+ Ra7xa5 Rf8xe8 Bg2-d5+ Kg8-h8 Qb1xh7+ Kh8xh7 Qc8-f5+ Kh7-h8 Qf5-h5+
25/29 03:39 1,231,626k 5,617k +M10 Qb4xc4 Rh6-h7 Ra6xa7 d6-d7 Be3xf2 d7xe8Q Re5xe8 Qf7xc4+ Kd3xc4 Nc6xa5+ Ra7xa5 Rf8xe8 Bg2-d5+ Kg8-h8 Qb1xh7+ Kh8xh7 Qc8-f5+ Kh7-h8 Qf5-h5+

FEN: q3R1N1/R3qRB1/Q1nb3p/1ppP1N1K/1RR1B1p1/2b2q1n/3Pk3/3bB3 w - - 0 1

Slow64-avx2 [001]:
2/3 00:00 25k 0 +15.60 Be4xf3+ Ke2-f1 Ng8xe7
3/5 00:00 69k 6,883k +23.72 Be4xf3+ Ke2-f1 Rf7xe7 Nh3-f4+ Rc4xf4
4/7 00:00 197k 6,557k +25.92 Be4xf3+ g4xf3 Ra7xe7+ Bd6xe7 Rf7xe7+ Nc6xe7 Qa6xa8 c5xb4 Re8xe7+ Ke2-d3 d2xc3 b5xc4 Ng8xh6
5/9 00:00 248k 8,270k +24.92 Be4xf3+ g4xf3 Ra7xe7+ Bd6xe7 Rf7xe7+ Nc6xe7 Re8xe7+ Ke2-f1 Qa6xa8 f3-f2+ Kh5-h4
6/11 00:00 371k 7,426k +24.92 Be4xf3+ g4xf3 Ra7xe7+ Bd6xe7 Rf7xe7+ Nc6xe7 Re8xe7+ Ke2-f1 Qa6xa8 f3-f2+ Kh5-h4 Bc3xb4
7/13 00:00 677k 6,774k +25.03 Be4xf3+ Ke2-f1 Rf7xe7 Nc6xe7 Ra7xa8 g4xf3 Re8xe7 Bd6xe7 Rb4xb5 f3-f2+
8/13 00:00 805k 7,317k +24.92 Be4xf3+ Ke2-f1 Rf7xe7 Nc6xe7 Ra7xa8 g4xf3 Re8xe7 Bd6xe7 Qa6xb5 c5xb4
9/14 00:00 1,282k 7,121k +25.64 Be4xf3+ g4xf3 Ra7xa8 f3-f2 Re8xe7+ Bd6xe7 Be1xf2 Nc6xb4 Rc4xb4 Ke2xf2+ Kh5-g6 Bc3xb4 Nf5-e3+ Bd1-f3
10/18 00:00 3,050k 6,933k +26.20 Be4xf3+ Ke2-f1 Rf7xe7 g4xf3 Re8xa8 f3-f2+ Rc4-g4 Nc6xe7 Ra7xe7 Bd1xg4+ Rb4xg4 Bd6xe7 Be1xf2
11/20 00:00 5,082k 6,776k +27.96 Be4xf3+ g4xf3 Ra7xa8 f3-f2 Re8xe7+ Nc6xe7 Be1xf2 Bc3xb4 Nf5xd6 Nh3xf2 Rf7xe7+ Ke2-f1+ Kh5-g6 b5xc4 Nd6xc4 Kf1-g2 Nc4-e3+ Kg2-g1 Ne3xd1 Nf2xd1 Bg7xh6
12/20 00:00 5,977k 6,792k +28.80 Be4xf3+ g4xf3 Ra7xa8 f3-f2 Re8xe7+ Nc6xe7 Be1xf2 c5xb4 Nf5xd6 Bc3xg7 Qa6xb5 Nh3xf2 Rc4-g4+ Nf2-d3 Ng8xe7 Bg7-e5 Nd6-e4
13/23 00:01 10,642k 6,610k +29.47 Be4xf3+ g4xf3 Ra7xa8 f3-f2 Re8xe7+ Bd6xe7 Be1xf2 Ke2xf2+ Kh5-g6 b5xc4 Nf5xe7+ Kf2-e1 d2xc3 Bd1-c2+ Kg6xh6 c5xb4 d5xc6 b4-b3 c6-c7 b3-b2
14/25 00:02 16,215k 6,592k +29.80 Be4xf3+ g4xf3 Ra7xa8 f3-f2 Re8xe7+ Bd6xe7 Be1xf2 c5xb4 Rc4xc6 Ke2xd2+ Kh5-g6 Be7-g5 Ng8xh6 Nh3xf2 Kg6xg5 Nf2-h3+ Kg5-h4
15/25 00:03 22,460k 6,548k +29.88 Be4xf3+ g4xf3 Ra7xa8 f3-f2 Re8xe7+ Bd6xe7 Be1xf2 Ke2xf2+ Kh5-g6 b5xc4 Nf5xe7+ Kf2-g2 d5xc6 Bd1-c2+ Kg6-h5 Bc3xb4 c6-c7 Nh3-g5 Rf7-f4 Bc2-d1+ Kh5xh6
16/29 00:08 51,577k 6,375k +31.16 Be4xf3+ g4xf3 Ra7xa8 f3-f2 Re8xe7+ Nc6xe7 Be1xf2 c5xb4 Nf5xd6 Nh3-g5 Rf7xe7+ Ke2xf2+ Kh5xh6 Bc3xd2 Qa6xb5 Ng5-f7+ Kh6-g6 Nf7xd6 Qb5-b6+ Kf2-g2 Qb6xd6
17/29 00:12 79,357k 6,328k +32.20 Be4xf3+ g4xf3 Ra7xa8 f3-f2 Re8xe7+ Nc6xe7 Be1xf2 c5xb4 Nf5xd6 Nh3-g5 Rf7xe7+ Ke2xf2+ Kh5xh6 Bc3xd2 Qa6xb5 b4-b3 Bg7-d4+ Kf2-g2 Re7-g7 Bd1-e2 Rg7xg5+ Bd2xg5+ Kh6xg5 Be2xc4 Nd6xc4
18/35 00:47 286,483k 6,043k +33.12 Be4xf3+ Ke2-f1 Rf7xe7 Nc6xe7 Re8xa8 g4xf3 Rb4-b1 Ne7xf5 Rc4xc3 Bd1-e2 Kh5-g6 Bd6-g3 Be1xg3+ Kf1-g2 Kg6xf5 b5-b4 Rc3-d3 Kg2xg3 Bg7-e5+ Kg3-g2 Ra7-g7+ Nh3-g5 Ng8xh6
19/35 01:22 506,413k 6,143k +35.96 Be4xf3+ Ke2-f1 Rf7xe7 Nc6xe7 Re8xa8 Ne7xf5 Bf3xd1 Bc3xb4 Kh5xg4 Nh3-g1 Rc4-e4 Nf5-e3+ Re4xe3 h6-h5+ Kg4-g5 c5-c4 Qa6xb5 Kf1-g2 Qb5xc4 Ng1-h3+ Kg5xh5 Nh3-f4+ Kh5-g5 Nf4-h3+ Kg5-f6
20/35 02:58 1,105,824k 6,192k +35.92 Be4xf3+ g4xf3 Ra7xa8 Ke2-f1 Nf5xe7 c5xb4 Ne7xc6 f3-f2+ Rc4-g4 Bd1xg4+ Kh5xg4 Kf1-g2 d2xc3 b4xc3 Rf7xf2+ Nh3xf2+ Be1xf2 h6-h5+ Kg4-g5 c3-c2 Qa6-a2 c2-c1Q+ Bf2-e3+ Kg2-h3 Be3xc1
21/37 05:54 2,139,974k 6,044k +37.96 Be4xf3+ Ke2-f1 Rf7xe7 Nc6xe7 Re8xa8 Bd1xf3 Ra7xe7 Bd6xe7 Rb4-b1 Bc3-d4 Bg7xd4 Nh3-f4+ Kh5xh6 Kf1-g2 Qa6xb5 c5xd4 Ng8xe7 Nf4-e2 Rc4xd4 Kg2-h2 Nf5-e3 Kh2-h3 Rd4xg4 Bf3xg4 Ne3xg4
22/39 15:06 5,373,972k 5,930k +42.28 Be4xf3+ Ke2-f1 Rf7xe7 g4xf3 Re8xa8 c5xb4 d5xc6 f3-f2+ Kh5-g6 Bc3xg7 Be1xf2 b5xc4 Nf5xd6 Kf1-g2 Kg6xg7 Bd1-f3 Qa6xc4 b4-b3 Qc4xb3 Nh3-f4 c6-c7 Nf4-h5+ Kg7xh6 Bf3-g4 Qb3-e3 Bg4-f3 c7-c8Q

[Uri Blass]

slowchess needed some hours to see a mate score and I guess there are faster engines
[d]q3R1N1/R3qRB1/Q1nb3p/1ppP1N1K/1RR1B1p1/2b2q1n/3Pk3/3bB3 w - - 0 1

Slow64-avx2 [001]:
2/3 00:00 25k 0 +15.60 Be4xf3+ Ke2-f1 Ng8xe7
3/5 00:00 69k 6,883k +23.72 Be4xf3+ Ke2-f1 Rf7xe7 Nh3-f4+ Rc4xf4
4/7 00:00 197k 6,557k +25.92 Be4xf3+ g4xf3 Ra7xe7+ Bd6xe7 Rf7xe7+ Nc6xe7 Qa6xa8 c5xb4 Re8xe7+ Ke2-d3 d2xc3 b5xc4 Ng8xh6
5/9 00:00 248k 8,270k +24.92 Be4xf3+ g4xf3 Ra7xe7+ Bd6xe7 Rf7xe7+ Nc6xe7 Re8xe7+ Ke2-f1 Qa6xa8 f3-f2+ Kh5-h4
6/11 00:00 371k 7,426k +24.92 Be4xf3+ g4xf3 Ra7xe7+ Bd6xe7 Rf7xe7+ Nc6xe7 Re8xe7+ Ke2-f1 Qa6xa8 f3-f2+ Kh5-h4 Bc3xb4
7/13 00:00 677k 6,774k +25.03 Be4xf3+ Ke2-f1 Rf7xe7 Nc6xe7 Ra7xa8 g4xf3 Re8xe7 Bd6xe7 Rb4xb5 f3-f2+
8/13 00:00 805k 7,317k +24.92 Be4xf3+ Ke2-f1 Rf7xe7 Nc6xe7 Ra7xa8 g4xf3 Re8xe7 Bd6xe7 Qa6xb5 c5xb4
9/14 00:00 1,282k 7,121k +25.64 Be4xf3+ g4xf3 Ra7xa8 f3-f2 Re8xe7+ Bd6xe7 Be1xf2 Nc6xb4 Rc4xb4 Ke2xf2+ Kh5-g6 Bc3xb4 Nf5-e3+ Bd1-f3
10/18 00:00 3,050k 6,933k +26.20 Be4xf3+ Ke2-f1 Rf7xe7 g4xf3 Re8xa8 f3-f2+ Rc4-g4 Nc6xe7 Ra7xe7 Bd1xg4+ Rb4xg4 Bd6xe7 Be1xf2
11/20 00:00 5,082k 6,776k +27.96 Be4xf3+ g4xf3 Ra7xa8 f3-f2 Re8xe7+ Nc6xe7 Be1xf2 Bc3xb4 Nf5xd6 Nh3xf2 Rf7xe7+ Ke2-f1+ Kh5-g6 b5xc4 Nd6xc4 Kf1-g2 Nc4-e3+ Kg2-g1 Ne3xd1 Nf2xd1 Bg7xh6
12/20 00:00 5,977k 6,792k +28.80 Be4xf3+ g4xf3 Ra7xa8 f3-f2 Re8xe7+ Nc6xe7 Be1xf2 c5xb4 Nf5xd6 Bc3xg7 Qa6xb5 Nh3xf2 Rc4-g4+ Nf2-d3 Ng8xe7 Bg7-e5 Nd6-e4
13/23 00:01 10,642k 6,610k +29.47 Be4xf3+ g4xf3 Ra7xa8 f3-f2 Re8xe7+ Bd6xe7 Be1xf2 Ke2xf2+ Kh5-g6 b5xc4 Nf5xe7+ Kf2-e1 d2xc3 Bd1-c2+ Kg6xh6 c5xb4 d5xc6 b4-b3 c6-c7 b3-b2
14/25 00:02 16,215k 6,592k +29.80 Be4xf3+ g4xf3 Ra7xa8 f3-f2 Re8xe7+ Bd6xe7 Be1xf2 c5xb4 Rc4xc6 Ke2xd2+ Kh5-g6 Be7-g5 Ng8xh6 Nh3xf2 Kg6xg5 Nf2-h3+ Kg5-h4
15/25 00:03 22,460k 6,548k +29.88 Be4xf3+ g4xf3 Ra7xa8 f3-f2 Re8xe7+ Bd6xe7 Be1xf2 Ke2xf2+ Kh5-g6 b5xc4 Nf5xe7+ Kf2-g2 d5xc6 Bd1-c2+ Kg6-h5 Bc3xb4 c6-c7 Nh3-g5 Rf7-f4 Bc2-d1+ Kh5xh6
16/29 00:08 51,577k 6,375k +31.16 Be4xf3+ g4xf3 Ra7xa8 f3-f2 Re8xe7+ Nc6xe7 Be1xf2 c5xb4 Nf5xd6 Nh3-g5 Rf7xe7+ Ke2xf2+ Kh5xh6 Bc3xd2 Qa6xb5 Ng5-f7+ Kh6-g6 Nf7xd6 Qb5-b6+ Kf2-g2 Qb6xd6
17/29 00:12 79,357k 6,328k +32.20 Be4xf3+ g4xf3 Ra7xa8 f3-f2 Re8xe7+ Nc6xe7 Be1xf2 c5xb4 Nf5xd6 Nh3-g5 Rf7xe7+ Ke2xf2+ Kh5xh6 Bc3xd2 Qa6xb5 b4-b3 Bg7-d4+ Kf2-g2 Re7-g7 Bd1-e2 Rg7xg5+ Bd2xg5+ Kh6xg5 Be2xc4 Nd6xc4
18/35 00:47 286,483k 6,043k +33.12 Be4xf3+ Ke2-f1 Rf7xe7 Nc6xe7 Re8xa8 g4xf3 Rb4-b1 Ne7xf5 Rc4xc3 Bd1-e2 Kh5-g6 Bd6-g3 Be1xg3+ Kf1-g2 Kg6xf5 b5-b4 Rc3-d3 Kg2xg3 Bg7-e5+ Kg3-g2 Ra7-g7+ Nh3-g5 Ng8xh6
19/35 01:22 506,413k 6,143k +35.96 Be4xf3+ Ke2-f1 Rf7xe7 Nc6xe7 Re8xa8 Ne7xf5 Bf3xd1 Bc3xb4 Kh5xg4 Nh3-g1 Rc4-e4 Nf5-e3+ Re4xe3 h6-h5+ Kg4-g5 c5-c4 Qa6xb5 Kf1-g2 Qb5xc4 Ng1-h3+ Kg5xh5 Nh3-f4+ Kh5-g5 Nf4-h3+ Kg5-f6
20/35 02:58 1,105,824k 6,192k +35.92 Be4xf3+ g4xf3 Ra7xa8 Ke2-f1 Nf5xe7 c5xb4 Ne7xc6 f3-f2+ Rc4-g4 Bd1xg4+ Kh5xg4 Kf1-g2 d2xc3 b4xc3 Rf7xf2+ Nh3xf2+ Be1xf2 h6-h5+ Kg4-g5 c3-c2 Qa6-a2 c2-c1Q+ Bf2-e3+ Kg2-h3 Be3xc1
21/37 05:54 2,139,974k 6,044k +37.96 Be4xf3+ Ke2-f1 Rf7xe7 Nc6xe7 Re8xa8 Bd1xf3 Ra7xe7 Bd6xe7 Rb4-b1 Bc3-d4 Bg7xd4 Nh3-f4+ Kh5xh6 Kf1-g2 Qa6xb5 c5xd4 Ng8xe7 Nf4-e2 Rc4xd4 Kg2-h2 Nf5-e3 Kh2-h3 Rd4xg4 Bf3xg4 Ne3xg4
22/39 15:06 5,373,972k 5,930k +42.28 Be4xf3+ Ke2-f1 Rf7xe7 g4xf3 Re8xa8 c5xb4 d5xc6 f3-f2+ Kh5-g6 Bc3xg7 Be1xf2 b5xc4 Nf5xd6 Kf1-g2 Kg6xg7 Bd1-f3 Qa6xc4 b4-b3 Qc4xb3 Nh3-f4 c6-c7 Nf4-h5+ Kg7xh6 Bf3-g4 Qb3-e3 Bg4-f3 c7-c8Q
23/43 23:19 8,216,115k 5,869k +44.24 Be4xf3+ g4xf3 Ra7xa8 f3-f2 Re8xe7+ Bd6xe7 Be1xf2 Ke2xf2+ Kh5-g6 b5xc4 Rb4xc4 Bc3xg7 d5xc6 Bd1-f3 c6-c7 Bg7-e5 c7-c8Q Nh3-f4+ Kg6xh6 Nf4-e2 Nf5xe7 Ne2-d4 Qc8xc5 Be5-f4+ Rf7xf4 Kf2-g3 Rf4xf3+ Kg3xf3 Qc5xd4
24/43 50:42 17,494,252k 5,750k +43.92 Be4xf3+ Ke2-f1 Rf7xe7 Bc3-d4 Re8xa8 Nh3-f4+ Kh5xg4 h6-h5+ Kg4-g5 Nc6xe7 Bg7xd4 Bd1xf3 Ra7xe7 Nf4-h3+ Kg5-f6 Bd6-f4 Rc4xc5 Bf4-g5+ Kf6-g6 Kf1-g2 Qa6xb5 h5-h4 Nf5xh4+ Bg5xh4 Be1xh4 Nh3-f4+ Kg6-f5 Nf4xd5 Re7-g7+ Kg2-h2 Qb5-b8+ Nd5-f4 Qb8xf4+
25/43 1:27:17 29,500,928k 5,632k +45.04 Be4xf3+ g4xf3 Ra7xa8 f3-f2 Re8xe7+ Nc6xe7 Be1xf2 Ne7xf5 Rb4xb5 Ke2xf2+ Kh5-g6 Bc3-f6 Rf7xf6 Kf2-g2 Kg6xf5 Bd6-g3 Rf6xh6 Nh3-f2 d5-d6 Kg2-g1 d6-d7 Bd1-e2 d7-d8Q Be2-d3+ Kf5-g5 Bd3-f1 Rb5-b3 Nf2-h3+ Rh6xh3 Bf1xh3 Rb3xg3+
26/45+ 2:08:19 42,198,860k 5,481k +M249 Be4xf3+
26/45- 2:09:09 42,452,133k 5,478k +M250 Be4xf3+ Ke2-f1
27/45 2:24:53 47,285,102k 5,439k +M20 Be4xf3+ Ke2-f1 Rf7xe7 Bc3-d4 Re8xa8 g4xf3 d5xc6 f3-f2+ Kh5xh6 Bd6-f4+ Kh6-g6 Bf4-h2 Bg7xd4 Nh3-f4+ Kg6-g5 Nf4-h3+ Kg5-f6 Kf1-g2 Be1xf2 Bh2-f4 Qa6xb5 Kg2-h2 Bd4xc5 Bf4-g5+ Kf6-g6 Nh3-f4+ Kg6xg5 Nf4-h3+ Kg5-h6 Bd1-a4 Rb4xa4 Kh2-g2 Rc4-g4+ Kg2-h2 Qb5-b8+ Nh3-f4 Qb8xf4+