Both positions take a very long time to solve with Houdini default settings.
With FiftyMoveDistance set at 10 it's a lot easier.
[d] 3N2r1/2K1p3/4Pk2/8/Bp5b/8/2P5/8 b - - 0 1
The winning idea is Rxd8+!! after Bg3+, Kd7.
Sorry for including the long analysis results, but it's interesting to see how the evals drops when the search depth increases.
Code: Select all
  9/18	 0:00 	-2.40 	1...Bg3+ 2.Kd7 Be5 3.Nc6 Bd6 4.Bb3 Rg2 5.Nd4 Be5 6.Bd5 (31.388) 3487
 10/23	 0:00 	-2.17 	1...Rg4 2.Bb3 Bg3+ 3.Kb6 Rg5 4.Nc6 Bd6 5.Bc4 Rg2 6.Kb5 Rxc2 7.Nxb4 Rb2 (103.142) 4484
 11/23	 0:00 	-1.86 	1...Rh8 2.Kd7 Bf2 3.Nc6 Bc5 4.Bb3 Rh3 5.Bc4 Rc3 6.Bd3 b3 (383.314) 5398
 12/23	 0:00 	-1.77 	1...Rh8 2.Kd7 Bg3 3.Nc6 Ra8 4.Bb3 Bd6 5.Bc4 Ra3 6.Bd3 b3 7.cxb3 Rxb3 8.Bc2 Rb7+ 9.Ke8 (427.382) 5409
 13/24	 0:00 	-1.77 	1...Rh8 2.Kd7 Bg3 3.Nc6 Ra8 4.Bb3 Bd6 5.Bd5 Ra1 6.Bc4 Ra3 7.Bd3 (731.636) 5806
 14/29	 0:00 	-1.41 	1...Rh8 2.Kd7 Be1 3.Nc6 Bc3 4.Bb5 Rh2 5.Bd3 Rg2 6.Bc4 Rd2+ 7.Ke8 Rxc2 8.Nxe7 Be5 9.Bd5 Rd2 10.Ng8+ Kg5 11.Ne7 Rd1 12.Bf3 Rd6 (4.284.670) 6715
 15/35	 0:02 	-0.89 	1...Rh8 2.Kd7 Bg3 3.Nc6 b3 4.Bxb3 Bd6 5.Bd5 Bc5 6.c4 Ra8 7.Nd8 Ra6 8.Nc6 Rb6 9.Be4 Rb7+ 10.Kc8 Rb2 (15.261.897) 6893
 15/35	 0:02 	-1.04 	1...Rg4 2.Bb3 Rg2 3.Nc6 Rd2 4.Nxb4 Bg5 5.c3 Bf4+ 6.Kc6 Bb8 7.Na6 Be5 8.Nc5 Kf5 9.c4 Bf4 10.Nd7 Rd6+ 11.Kb5 Rxe6 12.c5 (16.695.135) 6890
 16/36	 0:06 	-0.85 	1...Rh8 2.Kd7 b3 3.Bxb3 Bf2 4.Bd5 Rh3 5.Nc6 Bc5 6.c4 Rb3 7.Nd8 Rb6 8.Nc6 Rb2 9.Be4 Rd2+ 10.Bd5 Rh2 11.Be4 Rd2+ 12.Bd5 (46.143.442) 6996
 17/36	 0:06 	-0.79 	1...Rh8 2.Kd7 b3 3.Bxb3 Bf2 4.Bd5 Rh3 5.c4 Rd3 6.Kc6 Rg3 7.Nb7 Rg8 8.c5 Ke5 9.Bb3 Rg3 10.Bc4 Bd4 11.Kd7 (48.048.175) 6994
 18/37	 0:09 	-0.76 	1...Rh8 2.Kd7 b3 3.Bxb3 Bf2 4.Bd5 Rh3 5.Bb3 Bg3 6.Bd5 Rh2 7.c4 Bf2 8.Nb7 Bd4 9.Kc6 Rh8 10.Kd7 Rh3 11.c5 Rd3 12.Kc6 Ke5 13.Bc4 Rc3 14.Kb5 Rc1 (63.633.592) 7021
 18/38	 0:10 	-0.79 	1...Bf2 2.Nc6 b3 3.Bxb3 Bc5 4.Bd5 Rg5 5.c4 Rg3 6.Nd8 Ra3 7.Kc6 Bf2 8.Kb5 Rb3+ 9.Kc6 (73.893.951) 7047
 19/43	 0:31 	-0.47 	1...Rh8 2.Kd7 Rxd8+ 3.Kxd8 Kxe6 4.Kc7 Kd5 5.Bb3+ Kd4 6.Be6 Kc3 7.Bf5 e5 8.Kb6 Kd4 9.Kb5 Be7 10.Ka4 e4 11.Kb3 e3 12.Bd3 Bf8 13.Bc4 Bd6 14.Be2 (225.446.673) 7080
 20/43	 0:41 	-0.67++	1...Bg3+ (291.375.734) 7080
 20/43	 0:41 	-0.96++	1...Bg3+ (297.434.105) 7083
 20/47	 0:42 	-1.10 	1...Bg3+ 2.Kd7 Rxd8+ 3.Kxd8 Kxe6 4.Ke8 Kd6 5.Kf7 e5 6.Kg6 e4 7.Bb5 Kc5 8.Ba6 Kd4 9.Kf5 e3 10.Kg4 Kc3 11.Kf3 Kd2 12.Be2 Bf2 13.Bb5 Kxc2 14.Ke2 b3 (304.019.389) 7092
 21/47	 0:42 	-1.10 	1...Bg3+ 2.Kd7 Rxd8+ 3.Kxd8 Kxe6 4.Ke8 Kd6 5.Kf7 e5 6.Kg6 e4 7.Bb5 Kc5 8.Ba6 Kd4 9.Kf5 e3 10.Kg4 Kc3 11.Kf3 Kd2 12.Be2 Bf2 13.Bb5 Kxc2 14.Ke2 b3 (304.853.370) 7093
 22/47	 0:43 	-1.10 	1...Bg3+ 2.Kd7 Rxd8+ 3.Kxd8 Kxe6 4.Ke8 Kd6 5.Kf7 e5 6.Kg6 e4 7.Bb5 Kc5 8.Ba6 Kd4 9.Kf5 e3 10.Kg4 Kc3 11.Kf3 Kd2 12.Be2 Bf2 13.Bb5 Kxc2 14.Ke2 b3 (309.612.181) 7098  TB:1
 23/47	 0:45 	-1.10 	1...Bg3+ 2.Kd7 Rxd8+ 3.Kxd8 Kxe6 4.Ke8 Kd6 5.Kf7 e5 6.Kg6 e4 7.Bb5 Kc5 8.Ba6 Kd4 9.Kf5 e3 10.Kg4 Kc3 11.Kf3 Kd2 12.Be2 Bf2 13.Bb5 Kxc2 14.Ke2 b3 (323.186.195) 7116  TB:4
 24/47	 0:48 	-1.19++	1...Bg3+ (347.207.461) 7153  TB:25
 24/50	 0:54 	-2.75++	1...Bg3+ (392.872.247) 7236  TB:103
 24/55	 0:58 	-5.04 	1...Bg3+ 2.Kd7 Rxd8+ 3.Kxd8 Kxe6 4.Ke8 Kd6 5.Kf7 e5 6.Kg6 e4 7.Bb5 Kc5 8.Bf1 Kd4 9.Kf5 e3 10.Kg4 Bf2 11.Kf3 Kc3 12.Bb5 Kxc2 13.Ke2 b3 14.Ba4 Kb2 (423.980.035) 7290  TB:196
It's interesting to see that the plan Qh1-Qxh7 is found quite soon, because it's the only plan that keeps the game alive.
Only at higher depth does Houdini find that it actually wins.
Code: Select all
 14/21	 0:00 	-7.62 	1...Qc6 2.Bb4 Bd5 3.Kh6 Qc7 4.Be1 Qf4 5.Kg7 Qe5 6.Bf2 Qf4 7.Bc5 (219.017) 5919
 15/23	 0:00 	-7.54 	1...Qc6 2.Bb4 Bd5 3.Kh6 Qb6 4.Ba3 Kg4 5.Kg7 Qf2 6.Bd6 Qe3 7.Kh6 (620.681) 7053
 16/46	 0:18 	-0.66 	1...Qc6 2.Bb4 Bd5 3.Kh6 Qc4 4.Bd6 Qh4+ 5.Kg7 Qxh7+ 6.Kxh7 Kxg5 7.Bc5 Kxf6 8.Bf2 g5 9.Kh6 Kf5 10.Be1 g4 11.Bg3 Ke4 12.Kh5 f5 13.Kg5 Bf7 (158.382.325) 8428
 20/47	 0:46 	-0.64 	1...Qc6 2.Bb4 Bd5 3.Kh6 Qc4 4.Bd2 Qd4 5.Be1 Bb3 6.Kg7 Bc2 7.Ba5 Qc5 8.Be1 Qe3 9.Ba5 (416.619.272) 8993
 20/47	 0:48 	-0.69 	1...Qh1 2.Bc5 Qxh7+ 3.Kxh7 Kxg5 4.Kg7 Kh5 5.Bf2 g5 6.Be1 g4 7.Bf2 Kg5 8.Bg3 Be6 9.Kh7 Kxf6 10.Kh6 Kf5 11.Kh5 Ke4 12.Kg5 f5 13.Bf4 Kf3 (432.388.900) 8997
 21/47	 0:48 	-0.76++	1...Qh1 (435.605.086) 8995
 21/47	 0:48 	-0.77 	1...Qh1 2.Bc5 Qxh7+ 3.Kxh7 Kxg5 4.Kg7 Kh5 5.Kf8 g5 6.Ke7 Kg4 7.Kd6 Kf3 8.Ke5 g4 9.Kd4 g3 10.Kc3 Bd5 11.Kd2 g2 12.Ke1 Be4 13.Bg1 Bg6 14.Kd2 Bf5 (436.668.399) 8991
 22/47	 0:50 	-0.78 	1...Qh1 2.Bc5 Qxh7+ 3.Kxh7 Kxg5 4.Kg7 Kh5 5.Kf8 g5 6.Ke7 Kg4 7.Kd6 Kf3 8.Ke5 g4 9.Kd4 g3 10.Kc3 Bd5 11.Kd2 Be4 12.Ke1 Bd3 13.Bg1 g2 14.Kd2 Bh7 (451.498.844) 9000
 23/47	 0:52 	-0.82 	1...Qh1 2.Bc5 Qxh7+ 3.Kxh7 Kxg5 4.Kg7 Kh5 5.Bf2 g5 6.Be1 g4 7.Bf2 Kg5 8.Bg3 Be6 9.Kh7 Kxf6 10.Kh6 Kf5 11.Bc7 Ke4 12.Kg5 f5 13.Bd6 Kf3 14.Kh4 Bg8 (468.847.885) 9007
 24/47	 0:54 	-0.91 	1...Qh1 2.Bc5 Qxh7+ 3.Kxh7 Kxg5 4.Kg7 Kh5 5.Bf2 g5 6.Be1 g4 7.Bg3 Kg5 8.Kh7 Kxf6 9.Kh6 Kf5 10.Kh5 Be6 11.Bh2 Ke4 12.Kg5 f5 13.Bb8 Kf3 14.Kh4 Bb3 (494.097.751) 9002  TB:1
 27/47	 1:03 	-0.91 	1...Qh1 2.Bc5 Qxh7+ 3.Kxh7 Kxg5 4.Kg7 Kh5 5.Bf2 g5 6.Be1 g4 7.Bf2 Kg5 8.Bg3 Be6 9.Kh7 Kxf6 10.Kh6 Kf5 11.Bb8 Ke4 12.Kg5 Kf3 13.Kh4 f5 14.Bd6 Bd5 (574.686.255) 8994  TB:42
 28/47	 1:08 	-0.98++	1...Qh1 (615.666.971) 9014  TB:69
 28/55	 1:12 	-1.52++	1...Qh1 (646.911.682) 8929  TB:92
 28/56	 1:22 	-2.12 	1...Qh1 2.Bc5 Qxh7+ 3.Kxh7 Kxg5 4.Kg7 Kh5 5.Bf2 g5 6.Be1 g4 7.Bf2 Kg5 8.Bg3 Bc4 9.Bh2 Kh4 10.Bg1 g3 11.Kh6 g2 12.Kg7 Kg4 13.Kh6 Kf3 14.Kg5 Ke2 (727.945.491) 8786  TB:432
 29/56	 1:29 	-2.12 	1...Qh1 2.Bc5 Qxh7+ 3.Kxh7 Kxg5 4.Kg7 Kh5 5.Bf2 g5 6.Be1 g4 7.Bf2 Kg5 8.Bg3 Bc4 9.Be1 Kf4 10.Kh6 g3 11.Kh5 Kf3 12.Bc3 g2 13.Bd4 Kg3 14.Bg1 Bd3 (783.796.682) 8783  TB:843
