Can white win?

[Ajedrecista]

Hello again:

Now it's done:
[pgn][Result "1-0"]
[FEN "6bn/5ppr/5prb/5Pp1/5pPB/N4P1P/6P1/5k1K w - - 0 1"]
[SetUp "1"]

1. Be1 Kxe1 2. Kg1 Ke2 3. Nb5 Ke1 4. Nd4 Kd1 5. Kf1 Kd2 6. Nb5 Kd1 7. Nd6 Kd2
8. Kf2 Kd3 9. Ne4 Kc2 10. Ke2 Kc1 11. Nc3 Kc2 12. Nb5 Kb3 13. Kd2 Kb4 14. Nc3
Kc4 15. Nd1 Kb4 16. Nb2 Kb3 17. Nd3 Kc4 18. Nc1 Kd4 19. Nb3+ Kc4 20. Kc2 Kb4
21. Nd2 Ka4 22. Kc3 Ka3 23. Nb3 Ka4 24. Nc1 Ka3 25. Kc2 Ka4 26. Na2 Ka3 27. Nc3
Kb4 28. Nb1 Kc4 29. Na3+ Kb4 30. Kb2 Ka4 31. Nc2 Kb5 32. Kb3 Kc5 33. Kc3 Kb5
34. Kd4 Ka5 35. Kc5 Ka4 36. Kc4 Ka5 37. Nd4 Ka4 (37... Kb6 38. Kb4 Kc7 (38...
Ka6 39. Nc6 Kb6 40. Ne7 Ka6 41. Nxg8 {winning}) 39. Kc5 Kb7 (39... Kd7 40. Nc6
Kc7 41. Ne7 Kb7 42. Nxg8 {winning}) 40. Nc6 Ka6 (40... Kc7 41. Ne7 Kb7 42. Nxg8
{winning}) 41. Kb4 Kb6 42. Ne7 Ka6 43. Nxg8 {winning}) (37... Ka6 38. Nc6 Kb6
39. Ne7 {D}) 38. Nb5 (38. Nc6 Ka3 39. Kc3 Ka4 (39... Ka2 40. Ne7 Kb1 41. Kd2
Kb2 42. Nxg8 {E}) 40. Ne7 Kb5 41. Kd4 Kb4 42. Nxg8 {F} 42... Kb3 43. Kd3 Kb2
44. Ne7 Kc1 45. Ke2 Kc2 46. Nd5 Kb3 47. Kd2 {a} 47... Kc4 {will draw by the
50-move rule}) 38... Ka5 39. Nc3 Ka6 (39... Kb6 40. Kd5 (40. Nd5+ Ka5 41. Ne7
{G}) 40... Ka6 (40... Kc7 41. Kc5 Kd7 (41... Kb7 42. Nd5 Ka6 43. Kb4 Kb7 44.
Ne7 Ka6 45. Nxg8 {winning}) 42. Nd5 Kd8 43. Kc6 Ke8 44. Kd6 Kd8 45. Ne7 Ke8 46.
Nxg8 {winning}) (40... Kb7 41. Kc5 Ka6 (41... Kc7 42. Nd5+ Kd7 43. Nb4 Kc7 44.
Nc6 {C}) 42. Nd5 {B}) (40... Ka7 41. Kc5 Ka6 (41... Kb7 42. Nd5 Ka6 43. Kb4 Kb7
44. Ne7 Ka6 45. Nxg8 {winning}) 42. Nd5 {B}) (40... Ka5 41. Kc5 Ka6 42. Nd5
{B}) 41. Kc6 (41. Kc5 {H}) 41... Ka5 42. Kc5 {A}) 40. Kd5 (40. Nd5 Ka5 41. Ne7
{G} 41... Ka4 42. Nxg8 Ka3 43. Kc3 Ka2 44. Ne7 Kb1 45. Kd2 Kb2 46. Nc8 Ka2 47.
Kc2 Ka3 48. Kc3 Ka2 49. Nb6 Kb1 50. Na4 Ka1 51. Kd3 Kb1 52. Kd2 Ka1 53. Kc1 Ka2
54. Kc2 Ka1 55. Nc5 Ka2 56. Nb3 {b} 56... Ka3 {will draw by the 50-move rule})
(40. Kc5 {H} 40... Ka5 41. Nd5 Ka4 42. Kc4 Ka3 43. Kc3 Ka2 44. Ne7 Kb1 45. Kd2
Kb2 46. Nxg8 {E} 46... Kb3 47. Ne7 Kc4 48. Nc8 Kb4 49. Kd3 Kb5 50. Nd6+ Kb4 51.
Nb7 Kb3 52. Nc5+ Kb4 53. Kd4 Ka3 54. Kc3 Ka2 55. Nd3 Kb1 56. Kd2 Ka1 57. Kc1
Ka2 58. Kc2 Ka1 59. Nc5 Ka2 60. Nb3 {b} 60... Ka3 {will draw by the 50-move
rule}) 40... Kb6 41. Kd6 Ka5 (41... Ka6 42. Ke7) 42. Kc5 {A} 42... Ka6 43. Nd5
{B} 43... Ka5 44. Nb6 (44. Ne7 {I} 44... Ka4 45. Kc4 Ka3 46. Kc3 Ka2 47. Nxg8
Kb1 48. Kd2 Kb2 49. Ne7 Kb3 50. Nd5 {a} 50... Kc4 51. Nc3 Kb4 52. Nd1 Kc4 53.
Nb2+ Kd4 54. Nd3 Kc4 55. Nc1 Kd4 56. Nb3+ Kc4 57. Kc2 Kb4 58. Nd2 Ka4 59. Kc3
Ka3 60. Nb3 Ka2 61. Kc2 {b} 61... Ka3 {will draw by the 50-move rule}) 44...
Ka6 45. Nc4 (45. Nc8 Ka5 46. Ne7 {I}) 45... Kb7 46. Na5+ Kc7 (46... Ka6 47. Nc6
Kb7 48. Ne7 Ka6 49. Kb4 Kb6 50. Nxg8 {winning}) 47. Nc6 {C} 47... Kd7 48. Kd5
Kc7 49. Ne7 Kb6 50. Kc4 {D} 50... Ka5 51. Nxg8 Ka4 52. Ne7 Ka3 53. Kc3 Ka2 54.
Kc2 Ka3 55. Nc6 Ka2 56. Nb4+ Ka1 57. Nd3 Ka2 58. Nc1+ Ka1 59. Kc3 Kb1 60. Nb3
Ka2 61. Kc2 {b} 61... Ka3 62. Nc1 Ka4 63. Na2 Ka3 64. Nc3 Kb4 65. Nb1 Kc4 66.
Na3+ Kb4 67. Kb2 Ka4 68. Nc2 Kb5 69. Kb3 Kc5 70. Kc3 Kb5 71. Kd4 Ka5 72. Kc5
Ka4 73. Kc4 Ka5 74. Nd4 Ka6 75. Kc5 Ka5 76. Nb5 Ka4 77. Kc4 Ka5 78. Nc3 Ka6 79.
Kd5 Kb6 80. Kd6 Ka6 81. Kc6 Ka5 82. Kc5 Ka6 83. Nd5 Ka7 84. Nb6 Kb7 85. Nc4 Kc7
86. Nd6 Kd7 87. Nb5 Kc8 88. Kb6 Kb8 89. Nd6 Ka8 90. Ne4 Kb8 91. Nc5 Kc8 92. Kc6
Kb8 (92... Kd8 93. Kd6 Ke8 94. Nb7 Kf8 95. Kd7 Kg8 96. Nc5 Kf8 97. Na4 Kg8 98.
Nb6 Kf8 99. Kd8 Kg8 100. g3) 93. Kd7 Ka7 94. Ke8 Kb6 95. Ne4 Kb5 96. Kf8 Kc4
97. Kg8 Kd3 98. Kxh7 1-0[/pgn]

51.- N×B arrives just in time to reset the halfmove clock. Then, after 98.- K×R:

[pgn][Event ""]
[Site ""]
[Date ""]
[White ""]
[Black ""]
[SetUp "1"]
[FEN "7n/5ppK/5prb/5Pp1/4NpP1/3k1P1P/6P1/8 b - - 0 98"]
[Result "*"]

98... Ke2 99.Kxh8 Kf1 100.Nd6 Kxg2 101.Nxf7 Kxf3 102.fxg6 Kg3 103.Nxh6 f3 104.Kxg7 f2 105.Kh8 f1=Q 106.g7[/pgn]

Right? SF gives winning evals for white, but it will be lengthy.

Regards from Spain.

Ajedrecista.

[peter]

Now it's done:
[pgn][Result "1-0"]
[FEN "6bn/5ppr/5prb/5Pp1/5pPB/N4P1P/6P1/5k1K w - - 0 1"]
[SetUp "1"]

1. Be1 Kxe1 2. Kg1 Ke2 3. Nb5 Ke1 4. Nd4 Kd1 5. Kf1 Kd2 6. Nb5 Kd1 7. Nd6 Kd2
8. Kf2 Kd3 9. Ne4 Kc2 10. Ke2 Kc1 11. Nc3 Kc2 12. Nb5 Kb3 13. Kd2 Kb4 14. Nc3
Kc4 15. Nd1 Kb4 16. Nb2 Kb3 17. Nd3 Kc4 18. Nc1 Kd4 19. Nb3+ Kc4 20. Kc2 Kb4
21. Nd2 Ka4 22. Kc3 Ka3 23. Nb3 Ka4 24. Nc1 Ka3 25. Kc2 Ka4 26. Na2 Ka3 27. Nc3
Kb4 28. Nb1 Kc4 29. Na3+ Kb4 30. Kb2 Ka4 31. Nc2 Kb5 32. Kb3 Kc5 33. Kc3 Kb5
34. Kd4 Ka5 35. Kc5 Ka4 36. Kc4 Ka5 37. Nd4 Ka4 (37... Kb6 38. Kb4 Kc7 (38...
Ka6 39. Nc6 Kb6 40. Ne7 Ka6 41. Nxg8 {winning}) 39. Kc5 Kb7 (39... Kd7 40. Nc6
Kc7 41. Ne7 Kb7 42. Nxg8 {winning}) 40. Nc6 Ka6 (40... Kc7 41. Ne7 Kb7 42. Nxg8
{winning}) 41. Kb4 Kb6 42. Ne7 Ka6 43. Nxg8 {winning}) (37... Ka6 38. Nc6 Kb6
39. Ne7 {D}) 38. Nb5 (38. Nc6 Ka3 39. Kc3 Ka4 (39... Ka2 40. Ne7 Kb1 41. Kd2
Kb2 42. Nxg8 {E}) 40. Ne7 Kb5 41. Kd4 Kb4 42. Nxg8 {F} 42... Kb3 43. Kd3 Kb2
44. Ne7 Kc1 45. Ke2 Kc2 46. Nd5 Kb3 47. Kd2 {a} 47... Kc4 {will draw by the
50-move rule}) 38... Ka5 39. Nc3 Ka6 (39... Kb6 40. Kd5 (40. Nd5+ Ka5 41. Ne7
{G}) 40... Ka6 (40... Kc7 41. Kc5 Kd7 (41... Kb7 42. Nd5 Ka6 43. Kb4 Kb7 44.
Ne7 Ka6 45. Nxg8 {winning}) 42. Nd5 Kd8 43. Kc6 Ke8 44. Kd6 Kd8 45. Ne7 Ke8 46.
Nxg8 {winning}) (40... Kb7 41. Kc5 Ka6 (41... Kc7 42. Nd5+ Kd7 43. Nb4 Kc7 44.
Nc6 {C}) 42. Nd5 {B}) (40... Ka7 41. Kc5 Ka6 (41... Kb7 42. Nd5 Ka6 43. Kb4 Kb7
44. Ne7 Ka6 45. Nxg8 {winning}) 42. Nd5 {B}) (40... Ka5 41. Kc5 Ka6 42. Nd5
{B}) 41. Kc6 (41. Kc5 {H}) 41... Ka5 42. Kc5 {A}) 40. Kd5 (40. Nd5 Ka5 41. Ne7
{G} 41... Ka4 42. Nxg8 Ka3 43. Kc3 Ka2 44. Ne7 Kb1 45. Kd2 Kb2 46. Nc8 Ka2 47.
Kc2 Ka3 48. Kc3 Ka2 49. Nb6 Kb1 50. Na4 Ka1 51. Kd3 Kb1 52. Kd2 Ka1 53. Kc1 Ka2
54. Kc2 Ka1 55. Nc5 Ka2 56. Nb3 {b} 56... Ka3 {will draw by the 50-move rule})
(40. Kc5 {H} 40... Ka5 41. Nd5 Ka4 42. Kc4 Ka3 43. Kc3 Ka2 44. Ne7 Kb1 45. Kd2
Kb2 46. Nxg8 {E} 46... Kb3 47. Ne7 Kc4 48. Nc8 Kb4 49. Kd3 Kb5 50. Nd6+ Kb4 51.
Nb7 Kb3 52. Nc5+ Kb4 53. Kd4 Ka3 54. Kc3 Ka2 55. Nd3 Kb1 56. Kd2 Ka1 57. Kc1
Ka2 58. Kc2 Ka1 59. Nc5 Ka2 60. Nb3 {b} 60... Ka3 {will draw by the 50-move
rule}) 40... Kb6 41. Kd6 Ka5 (41... Ka6 42. Ke7) 42. Kc5 {A} 42... Ka6 43. Nd5
{B} 43... Ka5 44. Nb6 (44. Ne7 {I} 44... Ka4 45. Kc4 Ka3 46. Kc3 Ka2 47. Nxg8
Kb1 48. Kd2 Kb2 49. Ne7 Kb3 50. Nd5 {a} 50... Kc4 51. Nc3 Kb4 52. Nd1 Kc4 53.
Nb2+ Kd4 54. Nd3 Kc4 55. Nc1 Kd4 56. Nb3+ Kc4 57. Kc2 Kb4 58. Nd2 Ka4 59. Kc3
Ka3 60. Nb3 Ka2 61. Kc2 {b} 61... Ka3 {will draw by the 50-move rule}) 44...
Ka6 45. Nc4 (45. Nc8 Ka5 46. Ne7 {I}) 45... Kb7 46. Na5+ Kc7 (46... Ka6 47. Nc6
Kb7 48. Ne7 Ka6 49. Kb4 Kb6 50. Nxg8 {winning}) 47. Nc6 {C} 47... Kd7 48. Kd5
Kc7 49. Ne7 Kb6 50. Kc4 {D} 50... Ka5 51. Nxg8 Ka4 52. Ne7 Ka3 53. Kc3 Ka2 54.
Kc2 Ka3 55. Nc6 Ka2 56. Nb4+ Ka1 57. Nd3 Ka2 58. Nc1+ Ka1 59. Kc3 Kb1 60. Nb3
Ka2 61. Kc2 {b} 61... Ka3 62. Nc1 Ka4 63. Na2 Ka3 64. Nc3 Kb4 65. Nb1 Kc4 66.
Na3+ Kb4 67. Kb2 Ka4 68. Nc2 Kb5 69. Kb3 Kc5 70. Kc3 Kb5 71. Kd4 Ka5 72. Kc5
Ka4 73. Kc4 Ka5 74. Nd4 Ka6 75. Kc5 Ka5 76. Nb5 Ka4 77. Kc4 Ka5 78. Nc3 Ka6 79.
Kd5 Kb6 80. Kd6 Ka6 81. Kc6 Ka5 82. Kc5 Ka6 83. Nd5 Ka7 84. Nb6 Kb7 85. Nc4 Kc7
86. Nd6 Kd7 87. Nb5 Kc8 88. Kb6 Kb8 89. Nd6 Ka8 90. Ne4 Kb8 91. Nc5 Kc8 92. Kc6
Kb8 (92... Kd8 93. Kd6 Ke8 94. Nb7 Kf8 95. Kd7 Kg8 96. Nc5 Kf8 97. Na4 Kg8 98.
Nb6 Kf8 99. Kd8 Kg8 100. g3) 93. Kd7 Ka7 94. Ke8 Kb6 95. Ne4 Kb5 96. Kf8 Kc4
97. Kg8 Kd3 98. Kxh7 1-0
[/pgn]

Checked only at end with engine, Chest still doesn't find mate<70 with old params from there onwards, but that's because these can't work with less and less figures on board and didn't try to find new best ones. With Huntsman something about 140 all in all with Forward- Backward, regards

[Hobacle]

Now it's done:
[pgn][Result "1-0"]
[FEN "6bn/5ppr/5prb/5Pp1/5pPB/N4P1P/6P1/5k1K w - - 0 1"]
[SetUp "1"]

1. Be1 Kxe1 2. Kg1 Ke2 3. Nb5 Ke1 4. Nd4 Kd1 5. Kf1 Kd2 6. Nb5 Kd1 7. Nd6 Kd2
8. Kf2 Kd3 9. Ne4 Kc2 10. Ke2 Kc1 11. Nc3 Kc2 12. Nb5 Kb3 13. Kd2 Kb4 14. Nc3
Kc4 15. Nd1 Kb4 16. Nb2 Kb3 17. Nd3 Kc4 18. Nc1 Kd4 19. Nb3+ Kc4 20. Kc2 Kb4
21. Nd2 Ka4 22. Kc3 Ka3 23. Nb3 Ka4 24. Nc1 Ka3 25. Kc2 Ka4 26. Na2 Ka3 27. Nc3
Kb4 28. Nb1 Kc4 29. Na3+ Kb4 30. Kb2 Ka4 31. Nc2 Kb5 32. Kb3 Kc5 33. Kc3 Kb5
34. Kd4 Ka5 35. Kc5 Ka4 36. Kc4 Ka5 37. Nd4 Ka4 (37... Kb6 38. Kb4 Kc7 (38...
Ka6 39. Nc6 Kb6 40. Ne7 Ka6 41. Nxg8 {winning}) 39. Kc5 Kb7 (39... Kd7 40. Nc6
Kc7 41. Ne7 Kb7 42. Nxg8 {winning}) 40. Nc6 Ka6 (40... Kc7 41. Ne7 Kb7 42. Nxg8
{winning}) 41. Kb4 Kb6 42. Ne7 Ka6 43. Nxg8 {winning}) (37... Ka6 38. Nc6 Kb6
39. Ne7 {D}) 38. Nb5 (38. Nc6 Ka3 39. Kc3 Ka4 (39... Ka2 40. Ne7 Kb1 41. Kd2
Kb2 42. Nxg8 {E}) 40. Ne7 Kb5 41. Kd4 Kb4 42. Nxg8 {F} 42... Kb3 43. Kd3 Kb2
44. Ne7 Kc1 45. Ke2 Kc2 46. Nd5 Kb3 47. Kd2 {a} 47... Kc4 {will draw by the
50-move rule}) 38... Ka5 39. Nc3 Ka6 (39... Kb6 40. Kd5 (40. Nd5+ Ka5 41. Ne7
{G}) 40... Ka6 (40... Kc7 41. Kc5 Kd7 (41... Kb7 42. Nd5 Ka6 43. Kb4 Kb7 44.
Ne7 Ka6 45. Nxg8 {winning}) 42. Nd5 Kd8 43. Kc6 Ke8 44. Kd6 Kd8 45. Ne7 Ke8 46.
Nxg8 {winning}) (40... Kb7 41. Kc5 Ka6 (41... Kc7 42. Nd5+ Kd7 43. Nb4 Kc7 44.
Nc6 {C}) 42. Nd5 {B}) (40... Ka7 41. Kc5 Ka6 (41... Kb7 42. Nd5 Ka6 43. Kb4 Kb7
44. Ne7 Ka6 45. Nxg8 {winning}) 42. Nd5 {B}) (40... Ka5 41. Kc5 Ka6 42. Nd5
{B}) 41. Kc6 (41. Kc5 {H}) 41... Ka5 42. Kc5 {A}) 40. Kd5 (40. Nd5 Ka5 41. Ne7
{G} 41... Ka4 42. Nxg8 Ka3 43. Kc3 Ka2 44. Ne7 Kb1 45. Kd2 Kb2 46. Nc8 Ka2 47.
Kc2 Ka3 48. Kc3 Ka2 49. Nb6 Kb1 50. Na4 Ka1 51. Kd3 Kb1 52. Kd2 Ka1 53. Kc1 Ka2
54. Kc2 Ka1 55. Nc5 Ka2 56. Nb3 {b} 56... Ka3 {will draw by the 50-move rule})
(40. Kc5 {H} 40... Ka5 41. Nd5 Ka4 42. Kc4 Ka3 43. Kc3 Ka2 44. Ne7 Kb1 45. Kd2
Kb2 46. Nxg8 {E} 46... Kb3 47. Ne7 Kc4 48. Nc8 Kb4 49. Kd3 Kb5 50. Nd6+ Kb4 51.
Nb7 Kb3 52. Nc5+ Kb4 53. Kd4 Ka3 54. Kc3 Ka2 55. Nd3 Kb1 56. Kd2 Ka1 57. Kc1
Ka2 58. Kc2 Ka1 59. Nc5 Ka2 60. Nb3 {b} 60... Ka3 {will draw by the 50-move
rule}) 40... Kb6 41. Kd6 Ka5 (41... Ka6 42. Ke7) 42. Kc5 {A} 42... Ka6 43. Nd5
{B} 43... Ka5 44. Nb6 (44. Ne7 {I} 44... Ka4 45. Kc4 Ka3 46. Kc3 Ka2 47. Nxg8
Kb1 48. Kd2 Kb2 49. Ne7 Kb3 50. Nd5 {a} 50... Kc4 51. Nc3 Kb4 52. Nd1 Kc4 53.
Nb2+ Kd4 54. Nd3 Kc4 55. Nc1 Kd4 56. Nb3+ Kc4 57. Kc2 Kb4 58. Nd2 Ka4 59. Kc3
Ka3 60. Nb3 Ka2 61. Kc2 {b} 61... Ka3 {will draw by the 50-move rule}) 44...
Ka6 45. Nc4 (45. Nc8 Ka5 46. Ne7 {I}) 45... Kb7 46. Na5+ Kc7 (46... Ka6 47. Nc6
Kb7 48. Ne7 Ka6 49. Kb4 Kb6 50. Nxg8 {winning}) 47. Nc6 {C} 47... Kd7 48. Kd5
Kc7 49. Ne7 Kb6 50. Kc4 {D} 50... Ka5 51. Nxg8 Ka4 52. Ne7 Ka3 53. Kc3 Ka2 54.
Kc2 Ka3 55. Nc6 Ka2 56. Nb4+ Ka1 57. Nd3 Ka2 58. Nc1+ Ka1 59. Kc3 Kb1 60. Nb3
Ka2 61. Kc2 {b} 61... Ka3 62. Nc1 Ka4 63. Na2 Ka3 64. Nc3 Kb4 65. Nb1 Kc4 66.
Na3+ Kb4 67. Kb2 Ka4 68. Nc2 Kb5 69. Kb3 Kc5 70. Kc3 Kb5 71. Kd4 Ka5 72. Kc5
Ka4 73. Kc4 Ka5 74. Nd4 Ka6 75. Kc5 Ka5 76. Nb5 Ka4 77. Kc4 Ka5 78. Nc3 Ka6 79.
Kd5 Kb6 80. Kd6 Ka6 81. Kc6 Ka5 82. Kc5 Ka6 83. Nd5 Ka7 84. Nb6 Kb7 85. Nc4 Kc7
86. Nd6 Kd7 87. Nb5 Kc8 88. Kb6 Kb8 89. Nd6 Ka8 90. Ne4 Kb8 91. Nc5 Kc8 92. Kc6
Kb8 (92... Kd8 93. Kd6 Ke8 94. Nb7 Kf8 95. Kd7 Kg8 96. Nc5 Kf8 97. Na4 Kg8 98.
Nb6 Kf8 99. Kd8 Kg8 100. g3) 93. Kd7 Ka7 94. Ke8 Kb6 95. Ne4 Kb5 96. Kf8 Kc4
97. Kg8 Kd3 98. Kxh7 1-0[/pgn]

51.- N×B arrives just in time to reset the halfmove clock. Then, after 98.- K×R:

[pgn][Event ""]
[Site ""]
[Date ""]
[White ""]
[Black ""]
[SetUp "1"]
[FEN "7n/5ppK/5prb/5Pp1/4NpP1/3k1P1P/6P1/8 b - - 0 98"]
[Result "*"]

98... Ke2 99.Kxh8 Kf1 100.Nd6 Kxg2 101.Nxf7 Kxf3 102.fxg6 Kg3 103.Nxh6 f3 104.Kxg7 f2 105.Kh8 f1=Q 106.g7[/pgn]

Right? SF gives winning evals for white, but it will be lengthy.

Yes, so I'd not say it's a mate problem.

But there's a flaw in my last pgn file. 91.Kc6 wins a bit faster:
[pgn][Result "1-0"]
[FEN "6bn/5ppr/5prb/5Pp1/5pPB/N4P1P/6P1/5k1K w - - 0 1"]
[SetUp "1"]

1. Be1 Kxe1 2. Kg1 Ke2 3. Nb5 Ke1 4. Nd4 Kd1 5. Kf1 Kd2 6. Nb5 Kd1 7. Nd6 Kd2
8. Kf2 Kd3 9. Ne4 Kc2 10. Ke2 Kc1 11. Nc3 Kc2 12. Nb5 Kb3 13. Kd2 Kb4 14. Nc3
Kc4 15. Nd1 Kb4 16. Nb2 Kb3 17. Nd3 Kc4 18. Nc1 Kd4 19. Nb3+ Kc4 20. Kc2 Kb4
21. Nd2 Ka4 22. Kc3 Ka3 23. Nb3 Ka4 24. Nc1 Ka3 25. Kc2 Ka4 26. Na2 Ka3 27. Nc3
Kb4 28. Nb1 Kc4 29. Na3+ Kb4 30. Kb2 Ka4 31. Nc2 Kb5 32. Kb3 Kc5 33. Kc3 Kb5
34. Kd4 Ka5 35. Kc5 Ka4 36. Kc4 Ka5 37. Nd4 Ka4 (37... Kb6 38. Kb4 Kc7 (38...
Ka6 39. Nc6 Kb6 40. Ne7 Ka6 41. Nxg8 {winning}) 39. Kc5 Kb7 (39... Kd7 40. Nc6
Kc7 41. Ne7 Kb7 42. Nxg8 {winning}) 40. Nc6 Ka6 (40... Kc7 41. Ne7 Kb7 42. Nxg8
{winning}) 41. Kb4 Kb6 42. Ne7 Ka6 43. Nxg8 {winning}) (37... Ka6 38. Nc6 Kb6
39. Ne7 {D}) 38. Nb5 (38. Nc6 Ka3 39. Kc3 Ka4 (39... Ka2 40. Ne7 Kb1 41. Kd2
Kb2 42. Nxg8 {E}) 40. Ne7 Kb5 41. Kd4 Kb4 42. Nxg8 {F} 42... Kb3 43. Kd3 Kb2
44. Ne7 Kc1 45. Ke2 Kc2 46. Nd5 Kb3 47. Kd2 {a} 47... Kc4 {will draw by the
50-move rule}) 38... Ka5 39. Nc3 Ka6 (39... Kb6 40. Kd5 (40. Nd5+ Ka5 41. Ne7
{G}) 40... Ka6 (40... Kc7 41. Kc5 Kd7 (41... Kb7 42. Nd5 Ka6 43. Kb4 Kb7 44.
Ne7 Ka6 45. Nxg8 {winning}) 42. Nd5 Kd8 43. Kc6 Ke8 44. Kd6 Kd8 45. Ne7 Ke8 46.
Nxg8 {winning}) (40... Kb7 41. Kc5 Ka6 (41... Kc7 42. Nd5+ Kd7 43. Nb4 Kc7 44.
Nc6 {C}) 42. Nd5 {B}) (40... Ka7 41. Kc5 Ka6 (41... Kb7 42. Nd5 Ka6 43. Kb4 Kb7
44. Ne7 Ka6 45. Nxg8 {winning}) 42. Nd5 {B}) (40... Ka5 41. Kc5 Ka6 42. Nd5
{B}) 41. Kc6 (41. Kc5 {H}) 41... Ka5 42. Kc5 {A}) 40. Kd5 (40. Nd5 Ka5 41. Ne7
{G} 41... Ka4 42. Nxg8 Ka3 43. Kc3 Ka2 44. Ne7 Kb1 45. Kd2 Kb2 46. Nc8 Ka2 47.
Kc2 Ka3 48. Kc3 Ka2 49. Nb6 Kb1 50. Na4 Ka1 51. Kd3 Kb1 52. Kd2 Ka1 53. Kc1 Ka2
54. Kc2 Ka1 55. Nc5 Ka2 56. Nb3 {b} 56... Ka3 {will draw by the 50-move rule})
(40. Kc5 {H} 40... Ka5 41. Nd5 Ka4 42. Kc4 Ka3 43. Kc3 Ka2 44. Ne7 Kb1 45. Kd2
Kb2 46. Nxg8 {E} 46... Kb3 47. Ne7 Kc4 48. Nc8 Kb4 49. Kd3 Kb5 50. Nd6+ Kb4 51.
Nb7 Kb3 52. Nc5+ Kb4 53. Kd4 Ka3 54. Kc3 Ka2 55. Nd3 Kb1 56. Kd2 Ka1 57. Kc1
Ka2 58. Kc2 Ka1 59. Nc5 Ka2 60. Nb3 {b} 60... Ka3 {will draw by the 50-move
rule}) 40... Kb6 41. Kd6 Ka5 (41... Ka6 42. Ke7) 42. Kc5 {A} 42... Ka6 43. Nd5
{B} 43... Ka5 44. Nb6 (44. Ne7 {I} 44... Ka4 45. Kc4 Ka3 46. Kc3 Ka2 47. Nxg8
Kb1 48. Kd2 Kb2 49. Ne7 Kb3 50. Nd5 {a} 50... Kc4 51. Nc3 Kb4 52. Nd1 Kc4 53.
Nb2+ Kd4 54. Nd3 Kc4 55. Nc1 Kd4 56. Nb3+ Kc4 57. Kc2 Kb4 58. Nd2 Ka4 59. Kc3
Ka3 60. Nb3 Ka2 61. Kc2 {b} 61... Ka3 {will draw by the 50-move rule}) 44...
Ka6 45. Nc4 (45. Nc8 Ka5 46. Ne7 {I}) 45... Kb7 46. Na5+ Kc7 (46... Ka6 47. Nc6
Kb7 48. Ne7 Ka6 49. Kb4 Kb6 50. Nxg8 {winning}) 47. Nc6 {C} 47... Kd7 48. Kd5
Kc7 49. Ne7 Kb6 50. Kc4 {D} 50... Ka5 51. Nxg8 Ka4 52. Ne7 Ka3 53. Kc3 Ka2 54.
Kc2 Ka3 55. Nc6 Ka2 56. Nb4+ Ka1 57. Nd3 Ka2 58. Nc1+ Ka1 59. Kc3 Kb1 60. Nb3
Ka2 61. Kc2 {b} 61... Ka3 62. Nc1 Ka4 63. Na2 Ka3 64. Nc3 Kb4 65. Nb1 Kc4 66.
Na3+ Kb4 67. Kb2 Ka4 68. Nc2 Kb5 69. Kb3 Kc5 70. Kc3 Kb5 71. Kd4 Ka5 72. Kc5
Ka4 73. Kc4 Ka5 74. Nd4 Ka6 75. Kc5 Ka5 76. Nb5 Ka4 77. Kc4 Ka5 78. Nc3 Ka6 79.
Kd5 Kb6 80. Kd6 Ka6 81. Kc6 Ka5 82. Kc5 Ka6 83. Nd5 Ka7 84. Nb6 Kb7 85. Nc4 Kc7
86. Nd6 Kd7 87. Nb5 Kc8 88. Kb6 Kb8 89. Nd6 Ka8 90. Ne4 Kb8 91. Kc6 Ka7 (91...
Kc8 92. Kd6 Kd8 93. Nc5 Kc8 (93... Ke8 94. Nb7 Kf8 95. Kd7 Kg8 96. Kd8 Kf8 97.
Na5 Kg8 98. Nc6 Kf8 99. Nb8 Kg8 100. g3 Kf8 101. Nd7+ Kg8 102. Ke8 fxg3 103.
Nb8 g2 104. Nc6 g1=Q 105. Ne7#) 94. Ke7 Kc7 95. Kf8 Kd6 96. Ne4+ Kd5 97. Kg8
Kd4 98. Kxh7) 92. Kd7 Kb6 93. Ke7 Kb5 94. Kf8 Kc4 95. Kg8 Kd3 96. Kxh7 1-0
[/pgn]

[peter]

[pgn][Result "1-0"]
[FEN "6bn/5ppr/5prb/5Pp1/5pPB/N4P1P/6P1/5k1K w - - 0 1"]
[SetUp "1"]

1. Be1 Kxe1 2. Kg1 Ke2 3. Nb5 Ke1 4. Nd4 Kd1 5. Kf1 Kd2 6. Nb5 Kd1 7. Nd6 Kd2
8. Kf2 Kd3 9. Ne4 Kc2 10. Ke2 Kc1 11. Nc3 Kc2 12. Nb5 Kb3 13. Kd2 Kb4 14. Nc3
Kc4 15. Nd1 Kb4 16. Nb2 Kb3 17. Nd3 Kc4 18. Nc1 Kd4 19. Nb3+ Kc4 20. Kc2 Kb4
21. Nd2 Ka4 22. Kc3 Ka3 23. Nb3 Ka4 24. Nc1 Ka3 25. Kc2 Ka4 26. Na2 Ka3 27. Nc3
Kb4 28. Nb1 Kc4 29. Na3+ Kb4 30. Kb2 Ka4 31. Nc2 Kb5 32. Kb3 Kc5 33. Kc3 Kb5
34. Kd4 Ka5 35. Kc5 Ka4 36. Kc4 Ka5 37. Nd4 Ka4 (37... Kb6 38. Kb4 Kc7 (38...
Ka6 39. Nc6 Kb6 40. Ne7 Ka6 41. Nxg8 {winning}) 39. Kc5 Kb7 (39... Kd7 40. Nc6
Kc7 41. Ne7 Kb7 42. Nxg8 {winning}) 40. Nc6 Ka6 (40... Kc7 41. Ne7 Kb7 42. Nxg8
{winning}) 41. Kb4 Kb6 42. Ne7 Ka6 43. Nxg8 {winning}) (37... Ka6 38. Nc6 Kb6
39. Ne7 {D}) 38. Nb5 (38. Nc6 Ka3 39. Kc3 Ka4 (39... Ka2 40. Ne7 Kb1 41. Kd2
Kb2 42. Nxg8 {E}) 40. Ne7 Kb5 41. Kd4 Kb4 42. Nxg8 {F} 42... Kb3 43. Kd3 Kb2
44. Ne7 Kc1 45. Ke2 Kc2 46. Nd5 Kb3 47. Kd2 {a} 47... Kc4 {will draw by the
50-move rule}) 38... Ka5 39. Nc3 Ka6 (39... Kb6 40. Kd5 (40. Nd5+ Ka5 41. Ne7
{G}) 40... Ka6 (40... Kc7 41. Kc5 Kd7 (41... Kb7 42. Nd5 Ka6 43. Kb4 Kb7 44.
Ne7 Ka6 45. Nxg8 {winning}) 42. Nd5 Kd8 43. Kc6 Ke8 44. Kd6 Kd8 45. Ne7 Ke8 46.
Nxg8 {winning}) (40... Kb7 41. Kc5 Ka6 (41... Kc7 42. Nd5+ Kd7 43. Nb4 Kc7 44.
Nc6 {C}) 42. Nd5 {B}) (40... Ka7 41. Kc5 Ka6 (41... Kb7 42. Nd5 Ka6 43. Kb4 Kb7
44. Ne7 Ka6 45. Nxg8 {winning}) 42. Nd5 {B}) (40... Ka5 41. Kc5 Ka6 42. Nd5
{B}) 41. Kc6 (41. Kc5 {H}) 41... Ka5 42. Kc5 {A}) 40. Kd5 (40. Nd5 Ka5 41. Ne7
{G} 41... Ka4 42. Nxg8 Ka3 43. Kc3 Ka2 44. Ne7 Kb1 45. Kd2 Kb2 46. Nc8 Ka2 47.
Kc2 Ka3 48. Kc3 Ka2 49. Nb6 Kb1 50. Na4 Ka1 51. Kd3 Kb1 52. Kd2 Ka1 53. Kc1 Ka2
54. Kc2 Ka1 55. Nc5 Ka2 56. Nb3 {b} 56... Ka3 {will draw by the 50-move rule})
(40. Kc5 {H} 40... Ka5 41. Nd5 Ka4 42. Kc4 Ka3 43. Kc3 Ka2 44. Ne7 Kb1 45. Kd2
Kb2 46. Nxg8 {E} 46... Kb3 47. Ne7 Kc4 48. Nc8 Kb4 49. Kd3 Kb5 50. Nd6+ Kb4 51.
Nb7 Kb3 52. Nc5+ Kb4 53. Kd4 Ka3 54. Kc3 Ka2 55. Nd3 Kb1 56. Kd2 Ka1 57. Kc1
Ka2 58. Kc2 Ka1 59. Nc5 Ka2 60. Nb3 {b} 60... Ka3 {will draw by the 50-move
rule}) 40... Kb6 41. Kd6 Ka5 (41... Ka6 42. Ke7) 42. Kc5 {A} 42... Ka6 43. Nd5
{B} 43... Ka5 44. Nb6 (44. Ne7 {I} 44... Ka4 45. Kc4 Ka3 46. Kc3 Ka2 47. Nxg8
Kb1 48. Kd2 Kb2 49. Ne7 Kb3 50. Nd5 {a} 50... Kc4 51. Nc3 Kb4 52. Nd1 Kc4 53.
Nb2+ Kd4 54. Nd3 Kc4 55. Nc1 Kd4 56. Nb3+ Kc4 57. Kc2 Kb4 58. Nd2 Ka4 59. Kc3
Ka3 60. Nb3 Ka2 61. Kc2 {b} 61... Ka3 {will draw by the 50-move rule}) 44...
Ka6 45. Nc4 (45. Nc8 Ka5 46. Ne7 {I}) 45... Kb7 46. Na5+ Kc7 (46... Ka6 47. Nc6
Kb7 48. Ne7 Ka6 49. Kb4 Kb6 50. Nxg8 {winning}) 47. Nc6 {C} 47... Kd7 48. Kd5
Kc7 49. Ne7 Kb6 50. Kc4 {D} 50... Ka5 51. Nxg8 Ka4 52. Ne7 Ka3 53. Kc3 Ka2 54.
Kc2 Ka3 55. Nc6 Ka2 56. Nb4+ Ka1 57. Nd3 Ka2 58. Nc1+ Ka1 59. Kc3 Kb1 60. Nb3
Ka2 61. Kc2 {b} 61... Ka3 62. Nc1 Ka4 63. Na2 Ka3 64. Nc3 Kb4 65. Nb1 Kc4 66.
Na3+ Kb4 67. Kb2 Ka4 68. Nc2 Kb5 69. Kb3 Kc5 70. Kc3 Kb5 71. Kd4 Ka5 72. Kc5
Ka4 73. Kc4 Ka5 74. Nd4 Ka6 75. Kc5 Ka5 76. Nb5 Ka4 77. Kc4 Ka5 78. Nc3 Ka6 79.
Kd5 Kb6 80. Kd6 Ka6 81. Kc6 Ka5 82. Kc5 Ka6 83. Nd5 Ka7 84. Nb6 Kb7 85. Nc4 Kc7
86. Nd6 Kd7 87. Nb5 Kc8 88. Kb6 Kb8 89. Nd6 Ka8 90. Ne4 Kb8 91. Kc6 Ka7 (91...
Kc8 92. Kd6 Kd8 93. Nc5 Kc8 (93... Ke8 94. Nb7 Kf8 95. Kd7 Kg8 96. Kd8 Kf8 97.
Na5 Kg8 98. Nc6 Kf8 99. Nb8 Kg8 100. g3 Kf8 101. Nd7+ Kg8 102. Ke8 fxg3 103.
Nb8 g2 104. Nc6 g1=Q 105. Ne7#) 94. Ke7 Kc7 95. Kf8 Kd6 96. Ne4+ Kd5 97. Kg8
Kd4 98. Kxh7) 92. Kd7 Kb6 93. Ke7 Kb5 94. Kf8 Kc4 95. Kg8 Kd3 96. Kxh7 1-0
[/pgn]

And how about something like that?

[pgn]
[Event "Unchecked"]
[Site "?"]
[Date "2023.05.14"]
[Round "?"]
[White "Hobacle, Horse"]
[Black "50moves, Avoiding"]
[Result "1-0"]
[SetUp "1"]
[FEN "6bn/5ppr/5prb/5Pp1/5pPB/N4P1P/6P1/5k1K w - -"]

1. Be1 Kxe1 2. Kg1 Ke2 3. Nb5 Ke1 4. Nd4 Kd1 5. Kf1 Kd2
6. Nb5 Kd1 7. Nc3+ Kd2 8. Na4 Kc2 9. Ke2 Kb3 10. Nc5+ Ka3
11. Nd3 Ka2 12. Nc1+ Kb1 13. Nb3 Kb2 14. Nd4 Kc3 15. Nb5+
Kc4 16. Na3+ Kd5 17. Kd3 Kc6 18. Kc3 Kc5 19. Nb1 Kb5
20. Nd2 Kc5 21. Ne4+ Kd5 22. Kd3 Kc6 23. Kc4 Kb6 24. Nc3
Ka5 25. Kb3 Kb6 26. Kb4 Kb7 27. Kb5 Kc7 28. Ne4 Kb7
29. Nd6+ Kc7 30. Kc5 Kd7 31. Nb5 Kc8 32. Kb6 Kb8 33. Nd6
Ka8 34. Ne4 Kb8 35. Kc6 Kc8 36. Nd6+ Kb8 37. Kb6 Ka8
38. Nc8 Kb8 39. Ne7 Ka8 40. Nxg8 Kb8 41. Ne7 Ka8 42. Nd5
Kb8 43. Nc7 Kc8 44. Na6 Kd8 45. Kc5 Kd7 46. Kd5 Kd8 47. Kd6
Kc8 48. Kc6 Kd8 49. Nc5 Ke8 50. Nb7 Ke7 51. Kc7 Ke8 52. Kd6
Kf8 53. Kd7 Kg8 54. Kd8 Kf8 55. Nd6 Kg8 56. Nc8 Kf8 57. Nb6
Kg8 58. g3 Kf8 59. Nd7+ Kg8 60. Ke8 fxg3 61. Nb6 g2 62. Nd5
g1=Q 63. Ne7# 1-0
[/pgn]

Pity Chest doesnt work with Ignazio's parameters before 40.Kxg8, but after that it does and with Huntsman some more moves are kept in hash as for DTM, even if it's getting more and more unsound and lost even as for winning eval more and more, simply got me too much work again as for further backward then to first 25, so those before are pure assumption as for correctness.
Yet that's the point I had already before now and then, even if that's not a mate in x- puzzle, without having DTM at least as for 10 moves more or less, 50 moves- boundary before can't be excluded for sure neither, so you yet have to check DTM too.
As the composer you'll probably find shortcuts in lines like the one above, but to prove them all right or wrong as for 50 move-rule might be difficult, with and without engine, so if that's the main point, that 50 moves are crossed as for one move and not for the other one, referee of competition or editor of magazine will be difficult to convince, those people mostly don't like to check many long lines and variants on their own neither, and I can understand it, things simply can get too difficult as well as too easy, if it's about beauty and clearness judged by the audience. So I liked the first version still best as the maximum of difficulty to understand and replay with help of engines. And I liked the d3- d4- thing more than the just for self-sacrificing added Bishop.
Just my two cents, regards

[Ignacio]

After 24. Nc3 Ka5 Chest says mate in 39.

FEN: 6bn/5ppr/5prb/k4Pp1/2K2pP1/2N2P1P/6P1/8 w - - 46 25

Chest 5.2:
FEN: 6bn/5ppr/5prb/k4Pp1/2K2pP1/2N2P1P/6P1/8 w - - (7+11)
Position-Analysis: C0/R0/K3/P1/X2 W:5/16
Search for 1. Special-Mate [C2/R0/K0/P2/X5] in 126 ... (Hash=2044MB)
39 00:23 21.879.036 1.060.441 +M39 Rc4-c5
Search completed ... (Time=23.23s)
Mate in 39 found ! (1. Solution in 00:23)
39/39 00:23 24.762.549 1.065.926 +M39 Rc4-c5 Ra5-a6 Cc3-a4 Ra6-a5 Ca4-b6 Ra5-a6 Cb6-c4 Ra6-b7 Rc5-d6 Rb7-a7 Rd6-c7 Ra7-a6 Rc7-c6 Ra6-a7 Cc4-d6 Ra7-a6 Cd6-b7 Ra6-a7 Cb7-c5 Ra7-b8 Rc6-b6 Rb8-a8 Cc5-b7 Ra8-b8 Cb7-d6 Rb8-a8 Cd6-c8 Ra8-b8 Cc8-e7 Rb8-a8 Ce7xg8 Ra8-b8 Cg8-e7 Rb8-a8 Ce7-d5 Ra8-b8 Cd5-c7 Rb8-c8 Cc7-a6 Rc8-d8 Rb6-b5 Rd8-d7 Rb5-c5 Rd7-d8 Rc5-d6 Rd8-c8 Rd6-c6 Rc8-d8 Ca6-b8 Rd8-c8 Cb8-d7 Rc8-d8 Cd7-b6 Rd8-e8 Cb6-c8 Re8-d8 Cc8-d6 Rd8-e7 Rc6-c7 Re7-f8 Rc7-d8 Rf8-g8 Cd6-c8 Rg8-f8 Cc8-b6 Rf8-g8 g2-g3 Rg8-f8 Cb6-d7+ Rf8-g8 Rd8-e8 f4xg3 Cd7-b8 g3-g2 Cb8-c6 g2-g1D Cc6-e7+

Regards.

Ignacio.

[peter]

After 24. Nc3 Ka5 Chest says mate in 39.

FEN: 6bn/5ppr/5prb/k4Pp1/2K2pP1/2N2P1P/6P1/8 w - - 46 25

Chest 5.2:
FEN: 6bn/5ppr/5prb/k4Pp1/2K2pP1/2N2P1P/6P1/8 w - - (7+11)
Position-Analysis: C0/R0/K3/P1/X2 W:5/16
Search for 1. Special-Mate [C2/R0/K0/P2/X5] in 126 ... (Hash=2044MB)
39 00:23 21.879.036 1.060.441 +M39 Rc4-c5
Search completed ... (Time=23.23s)
Mate in 39 found ! (1. Solution in 00:23)
39/39 00:23 24.762.549 1.065.926 +M39 Rc4-c5 Ra5-a6 Cc3-a4 Ra6-a5 Ca4-b6 Ra5-a6 Cb6-c4 Ra6-b7 Rc5-d6 Rb7-a7 Rd6-c7 Ra7-a6 Rc7-c6 Ra6-a7 Cc4-d6 Ra7-a6 Cd6-b7 Ra6-a7 Cb7-c5 Ra7-b8 Rc6-b6 Rb8-a8 Cc5-b7 Ra8-b8 Cb7-d6 Rb8-a8 Cd6-c8 Ra8-b8 Cc8-e7 Rb8-a8 Ce7xg8 Ra8-b8 Cg8-e7 Rb8-a8 Ce7-d5 Ra8-b8 Cd5-c7 Rb8-c8 Cc7-a6 Rc8-d8 Rb6-b5 Rd8-d7 Rb5-c5 Rd7-d8 Rc5-d6 Rd8-c8 Rd6-c6 Rc8-d8 Ca6-b8 Rd8-c8 Cb8-d7 Rc8-d8 Cd7-b6 Rd8-e8 Cb6-c8 Re8-d8 Cc8-d6 Rd8-e7 Rc6-c7 Re7-f8 Rc7-d8 Rf8-g8 Cd6-c8 Rg8-f8 Cc8-b6 Rf8-g8 g2-g3 Rg8-f8 Cb6-d7+ Rf8-g8 Rd8-e8 f4xg3 Cd7-b8 g3-g2 Cb8-c6 g2-g1D Cc6-e7+

[Hobacle]

Yet that's the point I had already before now and then, even if that's not a mate in x- puzzle, without having DTM at least as for 10 moves more or less, 50 moves- boundary before can't be excluded for sure neither, so you yet have to check DTM too.
As the composer you'll probably find shortcuts in lines like the one above, but to prove them all right or wrong as for 50 move-rule might be difficult, with and without engine, so if that's the main point, that 50 moves are crossed as for one move and not for the other one, referee of competition or editor of magazine will be difficult to convince, those people mostly don't like to check many long lines and variants on their own neither, and I can understand it, things simply can get too difficult as well as too easy, if it's about beauty and clearness judged by the audience.

[fen]6bn/5ppr/5prb/5Pp1/5pP1/N4P1P/6P1/4k2K w - - 0 1[/fen]
Let this position be Position O.

In Position O, there're 3 possible methods for white to win.
1) Nxg8, then drive the bK to f8, after that, mate;
2) Nxg8, then drive the bK to the a8 corner, after that, Kxh7;
3) drive the bK to the a8 corner, then Kxh7.
We can try the 3rd method first.
Let the following position be Position A:
[fen]7n/5ppr/5prb/2k2Pp1/5pP1/2K2P1P/2N3P1/8 b - -[/fen]
Mention this:
[pgn][Event "ChestUCI Ver.5.2"]
[Site "?"]
[Date "????.??.??"]
[Round "1"]
[White "#75"]
[Black "C10/R0/K8/P2/X7"]
[Result "1-0"]
[SetUp "1"]
[FEN "7n/5ppr/5prb/5Pp1/5pP1/N4P1P/6P1/4k2K w - -"]
[PlyCount "149"]

{7n/5ppr/5prb/5Pp1/5pP1/N4P1P/6P1/4k2K w - - bm #75; 04:19 @ C10/R0/K8/P2/X7;}
1.Kg1 Ke2 2.Nb5 Ke1 3.Nd4 Kd1 4.Kf1 Kd2 5.Nb5 Kd1 6.Nd6 Kd2 7.Kf2 Kd3 8.Ne4
Kc2 9.Ke2 Kc1 10.Nc3 Kc2 11.Nb5 Kb3 12.Kd2 Kb4 13.Nc3 Kc4 14.Nd1 Kb4 15.Nb2
Kb3 16.Nd3 Kc4 17.Nc1 Kd4 18.Nb3+ Kc4 19.Kc2 Kb4 20.Nd2 Ka4 21.Kc3 Ka3 22.Nb3
Ka4 23.Nc1 Ka3 24.Kc2 Ka4 25.Na2 Ka3 26.Nc3 Kb4 27.Nb1 Kc4 28.Na3+ Kb4 29.Kb2
Ka4 30.Nc2 Kb5 31.Kb3 Kc5 32.Kc3 Kb5 33.Kd4 Ka5 34.Kc5 Ka4 35.Kc4 Ka5 36.Na3
Ka6 37.Nb5 Kb6 38.Nc3 Kc6 39.Nd5 Kd6 40.Nb4 Ke5 41.Kc3 Kd6 42.Kd4 Kc7 43.Kc5
Kb7 44.Nd5 Ka6 45.Kb4 Ka7 46.Kb5 Kb7 47.Nc3 Kc7 48.Ne4 Kb7 49.Nd6+ Kc7 50.Kc5
Kd7 51.Nb5 Kc8 52.Kb6 Kd8 53.Kc6 Kc8 54.Nc7 Kd8 55.Na6 Kc8 56.Kb6 Kd8 57.Kb5
Kd7 58.Kc5 Kd8 59.Kd6 Kc8 60.Kc6 Kd8 61.Nb8 Kc8 62.Nd7 Kd8 63.Nb6 Ke8 64.Nc8
Kd8 65.Nd6 Ke7 66.Kc7 Kf8 67.Kd8 Kg8 68.Nc8 Kf8 69.Nb6 Kg8 70.g3 Kf8 71.Nd7+
Kg8 72.Ke8 fxg3 73.Nb8 g2 74.Nc6 g1Q 75.Ne7# 1-0[/pgn]
This line shows the shortest way for white to drive the bK to f8 and mate then in Position O without the bB at g8, and Position A without the bB at g8 appears after white's 32nd move, so we can prove that the shortest way for white to force Position O to Position A or some position that is not better than Position A for bK to avoid being driven to f8 is 31.5 moves in length(if black plays accurately). It's clearly that any position that is not better than Position A for bK to avoid being driven to f8 is not better than Position A for bK to avoid being driven to the a8 corner, so the shortest way for white to force Position O to Position A or some position that is not better than Position A for bK to avoid being driven to the a8 corner is 31.5 moves in length. We can let the first 31.5 moves in this line be the first 31.5 moves of the line implementing the 3rd method:
[pgn][FEN "6bn/5ppr/5prb/5Pp1/5pP1/N4P1P/6P1/4k2K w - - 0 1"]
[PlyCount "63"]

1.Kg1 Ke2 2.Nb5 Ke1 3.Nd4 Kd1 4.Kf1 Kd2 5.Nb5 Kd1 6.Nd6 Kd2 7.Kf2 Kd3 8.Ne4
Kc2 9.Ke2 Kc1 10.Nc3 Kc2 11.Nb5 Kb3 12.Kd2 Kb4 13.Nc3 Kc4 14.Nd1 Kb4 15.Nb2
Kb3 16.Nd3 Kc4 17.Nc1 Kd4 18.Nb3+ Kc4 19.Kc2 Kb4 20.Nd2 Ka4 21.Kc3 Ka3 22.Nb3
Ka4 23.Nc1 Ka3 24.Kc2 Ka4 25.Na2 Ka3 26.Nc3 Kb4 27.Nb1 Kc4 28.Na3+ Kb4 29.Kb2
Ka4 30.Nc2 Kb5 31.Kb3 Kc5 32.Kc3[/pgn]
And then, it's easy for me to calculate out the left moves of the line implementing the 3rd method while resetting the 50-move counter as soon as possible:
[pgn][FEN "6bn/5ppr/5prb/5Pp1/5pP1/N4P1P/6P1/4k2K w - - 0 1"]
[PlyCount "63"]

1.Kg1 Ke2 2.Nb5 Ke1 3.Nd4 Kd1 4.Kf1 Kd2 5.Nb5 Kd1 6.Nd6 Kd2 7.Kf2 Kd3 8.Ne4
Kc2 9.Ke2 Kc1 10.Nc3 Kc2 11.Nb5 Kb3 12.Kd2 Kb4 13.Nc3 Kc4 14.Nd1 Kb4 15.Nb2
Kb3 16.Nd3 Kc4 17.Nc1 Kd4 18.Nb3+ Kc4 19.Kc2 Kb4 20.Nd2 Ka4 21.Kc3 Ka3 22.Nb3
Ka4 23.Nc1 Ka3 24.Kc2 Ka4 25.Na2 Ka3 26.Nc3 Kb4 27.Nb1 Kc4 28.Na3+ Kb4 29.Kb2
Ka4 30.Nc2 Kb5 31.Kb3 Kc5 32.Kc3 Kb6 33.Kd4 Ka5 34.Kc5 Ka4 35.Kc4 Ka5 36.Nd4 Ka6 37.Kc5 Ka5 38.Nb5 Ka4 39.Kc4 Ka5 40.Nc3 Ka6 41.Kd5 Kb6 42.Kd6 Ka6 43.Kc6 Ka5 44.Kc5 Ka6 45.Nd5 Ka7 46.Nb6 Kb7 47.Nc4 Kc7 48.Nd6 Kd7 49.Nb5 Kc8 50.Kb6 Kb8 51.Nd6 Ka8 52.Ne4 Kb8 53.Kc6 Ka7 (53...
Kc8 54.Kd6 Kd8 55.Nc3 Kc8 (55...Ke8 56.Nd5 Kf8 57.Ne7 Ke8 58.Nxg8 {then mate}) 56.Ke7 Kc7 57.Kf8 Kd6 58.Ne4+ Kd5 59.Kg8
Kd4 60.Kxh7) 54.Kd7 Kb6 55.Ke7 Kb5 56.Kf8 Kc4 57.Kxg8 Kd3 58.Kxh7[/pgn]
Of course it draws by the 50-move rule after 50...Kb8, so the 3rd method can be excluded.

Then we can try the 1st and the 2nd method. The key to both of them is when to play Nxg8. To win, the 50-move counter must be reset in not more than 50 moves after Nxg8. It's clearly that the 2nd method is faster in resetting the 50-move counter.
Let's observe some positions.



[fen]6Nn/5ppr/5prb/5Pp1/2k2pP1/5P1P/2K3P1/8 w - - 0[/fen]
This draws.



[fen]6Nn/5ppr/5prb/2k2Pp1/5pP1/2K2P1P/6P1/8 w - - 0[/fen]
This draws.



[fen]6Nn/5ppr/1k3prb/3K1Pp1/5pP1/5P1P/6P1/8 b - - 0[/fen]
This draws.



[fen]4k1Nn/5ppr/3K1prb/5Pp1/5pP1/5P1P/6P1/8 b - - 0[/fen]
White is winning.



[fen]6Nn/5ppr/k4prb/5Pp1/1K3pP1/5P1P/6P1/8 b - - 0[/fen]
White is winning.



[fen]6Nn/1k3ppr/5prb/2K2Pp1/5pP1/5P1P/6P1/8 b - - 0[/fen]
White is winning.



[fen]6Nn/5ppr/5prb/5Pp1/5pP1/2K2P1P/k5P1/8 b - - 0[/fen]
In the way we excluded the 3rd method, we can get this line:
[pgn][FEN "6Nn/5ppr/5prb/5Pp1/5pP1/2K2P1P/k5P1/8 b - - 0 1"]
[PlyCount "100"]

1... Kb1 2. Kd2 Kb2 3. Ne7 Kb3 4. Nd5 Kc4 5. Nc3 Kb4 6. Nd1 Kc4 7. Nb2+
Kd4 8. Nd3 Kc4 9. Nc1 Kd4 10. Nb3+ Kc4 11. Kc2 Kb4 12. Nd2 Ka4 13. Kc3 Ka3 14.
Nb3 Ka2 15. Kc2 Ka3 16. Nc1 Ka4 17. Na2 Ka3 18. Nc3 Kb4 19. Nb1 Kc4 20. Na3+
Kb4 21. Kb2 Ka4 22. Nc2 Kb5 23. Kb3 Kc5 24. Kc3 Kb5 25. Kd4 Ka5 26. Kc5 Ka4 27.
Kc4 Ka5 28. Nd4 Ka6 29. Kc5 Ka5 30. Nb5 Ka4 31. Kc4 Ka5 32. Nc3 Ka6 33. Kd5 Kb6
34. Kd6 Ka6 35. Kc6 Ka5 36. Kc5 Ka6 37. Nd5 Ka7 38. Nb6 Kb7 39. Nc4 Kc7 40. Nd6
Kd7 41. Nb5 Kc8 42. Kb6 Kb8 43. Nd6 Ka8 44. Ne4 Kb8 45. Kc6 Kc8 (45... Ka7 46.
Kd7 Kb6 47. Ke7 Kb5 48. Kf8 Kc4 49. Kg8 Kd3 50. Kxh7) 46. Kd6 Kd8 47. Nc5 Kc8
48. Ke7 Kc7 49. Kf8 Kd6 50. Ne4+ Kd5 51. Kg8[/pgn]
So it draws by the 50-move rule.



[fen]6Nn/5ppr/5prb/5Pp1/5pP1/5P1P/1k1K2P1/8 b - - 0[/fen]
In the way we excluded the 3rd method, we can get this line:
[pgn][FEN "6Nn/5ppr/5prb/5Pp1/5pP1/5P1P/1k1K2P1/8 b - - 0 1"]
[PlyCount "100"]

1... Kb3 2. Ne7 Kc4 3. Nc8 Kb4 4. Kd3 Kb5 5. Nd6+ Kb4 6. Nb7 Kb3 7. Nc5+
Kb4 8. Kd4 Ka3 9. Kc3 Ka2 10. Nd3 Kb1 11. Kd2 Ka1 12. Kc1 Ka2 13. Kc2 Ka1 14.
Nc5 Ka2 15. Nb3 Ka3 16. Nc1 Ka4 17. Na2 Ka3 18. Nc3 Kb4 19. Nb1 Kc4 20. Na3+
Kb4 21. Kb2 Ka4 22. Nc2 Kb5 23. Kb3 Kc5 24. Kc3 Kb5 25. Kd4 Ka5 26. Kc5 Ka4 27.
Kc4 Ka5 28. Nd4 Ka6 29. Kc5 Ka5 30. Nb5 Ka4 31. Kc4 Ka5 32. Nc3 Ka6 33. Kd5 Kb6
34. Kd6 Ka6 35. Kc6 Ka5 36. Kc5 Ka6 37. Nd5 Ka7 38. Nb6 Kb7 39. Nc4 Kc7 40. Nd6
Kd7 41. Nb5 Kc8 42. Kb6 Kb8 43. Nd6 Ka8 44. Ne4 Kb8 45. Kc6 Kc8 (45... Ka7 46.
Kd7 Kb6 47. Ke7 Kb5 48. Kf8 Kc4 49. Kg8 Kd3 50. Kxh7) 46. Kd6 Kd8 47. Nc5 Kc8
48. Ke7 Kc7 49. Kf8 Kd6 50. Ne4+ Kd5 51. Kg8[/pgn]
So it draws by the 50-move rule.



[fen]6Nn/5ppr/5prb/5Pp1/k1K2pP1/5P1P/6P1/8 b - - 0[/fen]
In the way we excluded the 3rd method, we can get this line:
[pgn][FEN "6Nn/5ppr/5prb/5Pp1/k1K2pP1/5P1P/6P1/8 b - - 0 1"]
[PlyCount "100"]

1... Ka3 2. Kc3 Ka2 3. Ne7 Kb1 4. Kd2 Kb2 5. Nc8 Ka2 6. Kc2 Ka3 7. Kc3
Ka2 8. Nb6 Kb1 9. Na4 Ka1 10. Kd3 Kb1 11. Kd2 Ka1 12. Kc1 Ka2 13. Kc2 Ka1 14.
Nc5 Ka2 15. Nb3 Ka3 16. Nc1 Ka4 17. Na2 Ka3 18. Nc3 Kb4 19. Nb1 Kc4 20. Na3+
Kb4 21. Kb2 Ka4 22. Nc2 Kb5 23. Kb3 Kc5 24. Kc3 Kb5 25. Kd4 Ka5 26. Kc5 Ka4 27.
Kc4 Ka5 28. Nd4 Ka6 29. Kc5 Ka5 30. Nb5 Ka4 31. Kc4 Ka5 32. Nc3 Ka6 33. Kd5 Kb6
34. Kd6 Ka6 35. Kc6 Ka5 36. Kc5 Ka6 37. Nd5 Ka7 38. Nb6 Kb7 39. Nc4 Kc7 40. Nd6
Kd7 41. Nb5 Kc8 42. Kb6 Kb8 43. Nd6 Ka8 44. Ne4 Kb8 45. Kc6 Kc8 (45... Ka7 46.
Kd7 Kb6 47. Ke7 Kb5 48. Kf8 Kc4 49. Kg8 Kd3 50. Kxh7) 46. Kd6 Kd8 47. Nc5 Kc8
48. Ke7 Kc7 49. Kf8 Kd6 50. Ne4+ Kd5 51. Kg8[/pgn]
So it draws by the 50-move rule.



[fen]6Nn/5ppr/5prb/5Pp1/1k1K1pP1/5P1P/6P1/8 b - - 0[/fen]
In the way we excluded the 3rd method, we can prove that it draws by the 50-move rule.



[fen]6Nn/5ppr/5prb/k4Pp1/2K2pP1/5P1P/6P1/8 b - - 0[/fen]
In the way we excluded the 3rd method, we can prove that white is winning under the 50-move rule, but only when using the 2nd method.



So we get all those winning positions. It can be proven that the shortest way for white to force Position O to Position A or some position that is not better than Position A for bK to avoid being driven to those winning positions is 31.5 moves in length, so, again:
[pgn][FEN "6bn/5ppr/5prb/5Pp1/5pP1/N4P1P/6P1/4k2K w - - 0 1"]
[PlyCount "63"]

1.Kg1 Ke2 2.Nb5 Ke1 3.Nd4 Kd1 4.Kf1 Kd2 5.Nb5 Kd1 6.Nd6 Kd2 7.Kf2 Kd3 8.Ne4
Kc2 9.Ke2 Kc1 10.Nc3 Kc2 11.Nb5 Kb3 12.Kd2 Kb4 13.Nc3 Kc4 14.Nd1 Kb4 15.Nb2
Kb3 16.Nd3 Kc4 17.Nc1 Kd4 18.Nb3+ Kc4 19.Kc2 Kb4 20.Nd2 Ka4 21.Kc3 Ka3 22.Nb3
Ka4 23.Nc1 Ka3 24.Kc2 Ka4 25.Na2 Ka3 26.Nc3 Kb4 27.Nb1 Kc4 28.Na3+ Kb4 29.Kb2
Ka4 30.Nc2 Kb5 31.Kb3 Kc5 32.Kc3[/pgn]
Then, it's easy for me to calculate out the left moves of the line forcing to those winning positions while resetting the 50-move counter as soon as possible:
[pgn][FEN "6bn/5ppr/5prb/5Pp1/5pP1/N4P1P/6P1/4k2K w - - 0 1"]
[PlyCount "99"]

1.Kg1 Ke2 2.Nb5 Ke1 3.Nd4 Kd1 4.Kf1 Kd2 5.Nb5 Kd1 6.Nd6 Kd2 7.Kf2 Kd3 8.Ne4
Kc2 9.Ke2 Kc1 10.Nc3 Kc2 11.Nb5 Kb3 12.Kd2 Kb4 13.Nc3 Kc4 14.Nd1 Kb4 15.Nb2
Kb3 16.Nd3 Kc4 17.Nc1 Kd4 18.Nb3+ Kc4 19.Kc2 Kb4 20.Nd2 Ka4 21.Kc3 Ka3 22.Nb3
Ka4 23.Nc1 Ka3 24.Kc2 Ka4 25.Na2 Ka3 26.Nc3 Kb4 27.Nb1 Kc4 28.Na3+ Kb4 29.Kb2
Ka4 30.Nc2 Kb5 31.Kb3 Kc5 32.Kc3 Kb5 33.Kd4 Ka5 34.Kc5 Ka4 35.Kc4 Ka5 36.Nd4 Ka4 37.Nb5 Ka5 38.Nc3 Ka6 39.Kd5 Kb6 40.Kd6 Ka5 41.Kc5 Ka6 42.Nd5 Ka5 43.Nb6 Ka6 44.Nc4 Kb7 45.Na5+ Kc7 46.Nc6 Kd7 47.Kd5 Kc7 48.Ne7 Kb6 49.Kc4 Ka5 50.Nxg8[/pgn]
So only the 2nd method is right, and eventually, we can get the left moves for white to win:

[pgn][Result "1-0"]
[FEN "6bn/5ppr/5prb/5Pp1/5pPB/N4P1P/6P1/5k1K w - - 0 1"]
[SetUp "1"]

1. Be1 Kxe1 2. Kg1 Ke2 3. Nb5 Ke1 4. Nd4 Kd1 5. Kf1 Kd2 6. Nb5 Kd1 7. Nd6 Kd2
8. Kf2 Kd3 9. Ne4 Kc2 10. Ke2 Kc1 11. Nc3 Kc2 12. Nb5 Kb3 13. Kd2 Kb4 14. Nc3
Kc4 15. Nd1 Kb4 16. Nb2 Kb3 17. Nd3 Kc4 18. Nc1 Kd4 19. Nb3+ Kc4 20. Kc2 Kb4
21. Nd2 Ka4 22. Kc3 Ka3 23. Nb3 Ka4 24. Nc1 Ka3 25. Kc2 Ka4 26. Na2 Ka3 27. Nc3
Kb4 28. Nb1 Kc4 29. Na3+ Kb4 30. Kb2 Ka4 31. Nc2 Kb5 32. Kb3 Kc5 33. Kc3 Kb5
34. Kd4 Ka5 35. Kc5 Ka4 36. Kc4 Ka5 37. Nd4 Ka4 (37... Kb6 38. Kb4 Kc7 (38...
Ka6 39. Nc6 Kb6 40. Ne7 Ka6 41. Nxg8 {winning}) 39. Kc5 Kb7 (39... Kd7 40. Nc6
Kc7 41. Ne7 Kb7 42. Nxg8 {winning}) 40. Nc6 Ka6 (40... Kc7 41. Ne7 Kb7 42. Nxg8
{winning}) 41. Kb4 Kb6 42. Ne7 Ka6 43. Nxg8 {winning}) (37... Ka6 38. Nc6 Kb6
39. Ne7 {D}) 38. Nb5 (38. Nc6 Ka3 39. Kc3 Ka4 (39... Ka2 40. Ne7 Kb1 41. Kd2
Kb2 42. Nxg8 {E}) 40. Ne7 Kb5 41. Kd4 Kb4 42. Nxg8 {F} 42... Kb3 43. Kd3 Kb2
44. Ne7 Kc1 45. Ke2 Kc2 46. Nd5 Kb3 47. Kd2 {a} 47... Kc4 {will draw by the
50-move rule}) 38... Ka5 39. Nc3 Ka6 (39... Kb6 40. Kd5 (40. Nd5+ Ka5 41. Ne7
{G}) 40... Ka6 (40... Kc7 41. Kc5 Kd7 (41... Kb7 42. Nd5 Ka6 43. Kb4 Kb7 44.
Ne7 Ka6 45. Nxg8 {winning}) 42. Nd5 Kd8 43. Kc6 Ke8 44. Kd6 Kd8 45. Ne7 Ke8 46.
Nxg8 {winning}) (40... Kb7 41. Kc5 Ka6 (41... Kc7 42. Nd5+ Kd7 43. Nb4 Kc7 44.
Nc6 {C}) 42. Nd5 {B}) (40... Ka7 41. Kc5 Ka6 (41... Kb7 42. Nd5 Ka6 43. Kb4 Kb7
44. Ne7 Ka6 45. Nxg8 {winning}) 42. Nd5 {B}) (40... Ka5 41. Kc5 Ka6 42. Nd5
{B}) 41. Kc6 (41. Kc5 {H}) 41... Ka5 42. Kc5 {A}) 40. Kd5 (40. Nd5 Ka5 41. Ne7
{G} 41... Ka4 42. Nxg8 Ka3 43. Kc3 Ka2 44. Ne7 Kb1 45. Kd2 Kb2 46. Nc8 Ka2 47.
Kc2 Ka3 48. Kc3 Ka2 49. Nb6 Kb1 50. Na4 Ka1 51. Kd3 Kb1 52. Kd2 Ka1 53. Kc1 Ka2
54. Kc2 Ka1 55. Nc5 Ka2 56. Nb3 {b} 56... Ka3 {will draw by the 50-move rule})
(40. Kc5 {H} 40... Ka5 41. Nd5 Ka4 42. Kc4 Ka3 43. Kc3 Ka2 44. Ne7 Kb1 45. Kd2
Kb2 46. Nxg8 {E} 46... Kb3 47. Ne7 Kc4 48. Nc8 Kb4 49. Kd3 Kb5 50. Nd6+ Kb4 51.
Nb7 Kb3 52. Nc5+ Kb4 53. Kd4 Ka3 54. Kc3 Ka2 55. Nd3 Kb1 56. Kd2 Ka1 57. Kc1
Ka2 58. Kc2 Ka1 59. Nc5 Ka2 60. Nb3 {b} 60... Ka3 {will draw by the 50-move
rule}) 40... Kb6 41. Kd6 Ka5 (41... Ka6 42. Ke7) 42. Kc5 {A} 42... Ka6 43. Nd5
{B} 43... Ka5 44. Nb6 (44. Ne7 {I} 44... Ka4 45. Kc4 Ka3 46. Kc3 Ka2 47. Nxg8
Kb1 48. Kd2 Kb2 49. Ne7 Kb3 50. Nd5 {a} 50... Kc4 51. Nc3 Kb4 52. Nd1 Kc4 53.
Nb2+ Kd4 54. Nd3 Kc4 55. Nc1 Kd4 56. Nb3+ Kc4 57. Kc2 Kb4 58. Nd2 Ka4 59. Kc3
Ka3 60. Nb3 Ka2 61. Kc2 {b} 61... Ka3 {will draw by the 50-move rule}) 44...
Ka6 45. Nc4 (45. Nc8 Ka5 46. Ne7 {I}) 45... Kb7 46. Na5+ Kc7 (46... Ka6 47. Nc6
Kb7 48. Ne7 Ka6 49. Kb4 Kb6 50. Nxg8 {winning}) 47. Nc6 {C} 47... Kd7 48. Kd5
Kc7 49. Ne7 Kb6 50. Kc4 {D} 50... Ka5 51. Nxg8 Ka4 52. Ne7 Ka3 53. Kc3 Ka2 54.
Kc2 Ka3 55. Nc6 Ka2 56. Nb4+ Ka1 57. Nd3 Ka2 58. Nc1+ Ka1 59. Kc3 Kb1 60. Nb3
Ka2 61. Kc2 {b} 61... Ka3 62. Nc1 Ka4 63. Na2 Ka3 64. Nc3 Kb4 65. Nb1 Kc4 66.
Na3+ Kb4 67. Kb2 Ka4 68. Nc2 Kb5 69. Kb3 Kc5 70. Kc3 Kb5 71. Kd4 Ka5 72. Kc5
Ka4 73. Kc4 Ka5 74. Nd4 Ka6 75. Kc5 Ka5 76. Nb5 Ka4 77. Kc4 Ka5 78. Nc3 Ka6 79.
Kd5 Kb6 80. Kd6 Ka6 81. Kc6 Ka5 82. Kc5 Ka6 83. Nd5 Ka7 84. Nb6 Kb7 85. Nc4 Kc7
86. Nd6 Kd7 87. Nb5 Kc8 88. Kb6 Kb8 89. Nd6 Ka8 90. Ne4 Kb8 91. Kc6 Ka7 (91...
Kc8 92. Kd6 Kd8 93. Nc5 Kc8 (93... Ke8 94. Nb7 Kf8 95. Kd7 Kg8 96. Kd8 Kf8 97.
Na5 Kg8 98. Nc6 Kf8 99. Nb8 Kg8 100. g3 Kf8 101. Nd7+ Kg8 102. Ke8 fxg3 103.
Nb8 g2 104. Nc6 g1=Q 105. Ne7#) 94. Ke7 Kc7 95. Kf8 Kd6 96. Ne4+ Kd5 97. Kg8
Kd4 98. Kxh7) 92. Kd7 Kb6 93. Ke7 Kb5 94. Kf8 Kc4 95. Kg8 Kd3 96. Kxh7 1-0
[/pgn]

At first(when this thread was posted) I didn't think it was easy to get all of those, but then Chest proved its strength, so I tried, and succeeded. I don't care much about what judges or editors would say, because this composition is only a dream of mine during the past two years, not a sacrifice to honor. Thank you, Talkchess, for helping make my dream come true.

And I liked the d3- d4- thing more than the just for self-sacrificing added Bishop.

That was illegal after the bB at g8 was added.

[Hobacle]

Oh, sorry, I made another serious mistake.

[Hobacle]

[pgn][Result "1-0"]
[FEN "6bn/5ppr/5prb/5Pp1/5pPB/N4P1P/6P1/5k1K w - - 0 1"]
[SetUp "1"]

1. Be1 Kxe1 2. Kg1 Ke2 3. Nb5 Ke1 4. Nd4 Kd1 5. Kf1 Kd2 6. Nb5 Kd1 7. Nd6 Kd2
8. Kf2 Kd3 9. Ne4 Kc2 10. Ke2 Kc1 11. Nc3 Kc2 12. Nb5 Kb3 13. Kd2 Kb4 14. Nc3
Kc4 15. Nd1 Kb4 16. Nb2 Kb3 17. Nd3 Kc4 18. Nc1 Kd4 19. Nb3+ Kc4 20. Kc2 Kb4
21. Nd2 Ka4 22. Kc3 Ka3 23. Nb3 Ka4 24. Nc1 Ka3 25. Kc2 Ka4 26. Na2 Ka3 27. Nc3
Kb4 28. Nb1 Kc4 29. Na3+ Kb4 30. Kb2 Ka4 31. Nc2 Kb5 32. Kb3 Kc5 33. Kc3 Kb5
34. Kd4 Ka5 35. Kc5 Ka4 36. Kc4 Ka5 37. Nd4 Ka4 (37... Kb6 38. Kb4 Kc7 (38...
Ka6 39. Nc6 Kb6 40. Ne7 Ka6 41. Nxg8 {winning}) 39. Kc5 Kb7 (39... Kd7 40. Nc6
Kc7 41. Ne7 Kb7 42. Nxg8 {winning}) 40. Nc6 Ka6 (40... Kc7 41. Ne7 Kb7 42. Nxg8
{winning}) 41. Kb4 Kb6 42. Ne7 Ka6 43. Nxg8 {winning}) (37... Ka6 38. Nc6 Kb6
39. Ne7 {D}) 38. Nb5 (38. Nc6 Ka3 39. Kc3 Ka4 (39... Ka2 40. Ne7 Kb1 41. Kd2
Kb2 42. Nxg8 {E}) 40. Ne7 Kb5 41. Kd4 Kb4 42. Nxg8 {F} 42... Kb3 43. Kd3 Kb2
44. Ne7 Kc1 45. Ke2 Kc2 46. Nd5 Kb3 47. Kd2 {a} 47... Kc4 {will draw by the
50-move rule}) 38... Ka5 39. Nc3 Ka6 (39... Kb6 40. Kd5 (40. Nd5+ Ka5 41. Ne7
{G}) 40... Ka6 (40... Kc7 41. Kc5 Kd7 (41... Kb7 42. Nd5 Ka6 43. Kb4 Kb7 44.
Ne7 Ka6 45. Nxg8 {winning}) 42. Nd5 Kd8 43. Kc6 Ke8 44. Kd6 Kd8 45. Ne7 Ke8 46.
Nxg8 {winning}) (40... Kb7 41. Kc5 Ka6 (41... Kc7 42. Nd5+ Kd7 43. Nb4 Kc7 44.
Nc6 {C}) 42. Nd5 {B}) (40... Ka7 41. Kc5 Ka6 (41... Kb7 42. Nd5 Ka6 43. Kb4 Kb7
44. Ne7 Ka6 45. Nxg8 {winning}) 42. Nd5 {B}) (40... Ka5 41. Kc5 Ka6 42. Nd5
{B}) 41. Kc6 (41. Kc5 {H}) 41... Ka5 42. Kc5 {A}) 40. Kd5 (40. Nd5 Ka5 41. Ne7
{G} 41... Ka4 42. Nxg8 Ka3 43. Kc3 Ka2 44. Ne7 Kb1 45. Kd2 Kb2 46. Nc8 Ka2 47.
Kc2 Ka3 48. Kc3 Ka2 49. Nb6 Kb1 50. Na4 Ka1 51. Kd3 Kb1 52. Kd2 Ka1 53. Kc1 Ka2
54. Kc2 Ka1 55. Nc5 Ka2 56. Nb3 {b} 56... Ka3 {will draw by the 50-move rule})
(40. Kc5 {H} 40... Ka5 41. Nd5 Ka4 42. Kc4 Ka3 43. Kc3 Ka2 44. Ne7 Kb1 45. Kd2
Kb2 46. Nxg8 {E} 46... Kb3 47. Ne7 Kc4 48. Nc8 Kb4 49. Kd3 Kb5 50. Nd6+ Kb4 51.
Nb7 Kb3 52. Nc5+ Kb4 53. Kd4 Ka3 54. Kc3 Ka2 55. Nd3 Kb1 56. Kd2 Ka1 57. Kc1
Ka2 58. Kc2 Ka1 59. Nc5 Ka2 60. Nb3 {b} 60... Ka3 {will draw by the 50-move
rule}) 40... Kb6 41. Kd6 Ka5 (41... Ka6 42. Ke7) 42. Kc5 {A} 42... Ka6 43. Nd5
{B} 43... Ka5 44. Nb6 (44. Ne7 {I} 44... Ka4 45. Kc4 Ka3 46. Kc3 Ka2 47. Nxg8
Kb1 48. Kd2 Kb2 49. Ne7 Kb3 50. Nd5 {a} 50... Kc4 51. Nc3 Kb4 52. Nd1 Kc4 53.
Nb2+ Kd4 54. Nd3 Kc4 55. Nc1 Kd4 56. Nb3+ Kc4 57. Kc2 Kb4 58. Nd2 Ka4 59. Kc3
Ka3 60. Nb3 Ka2 61. Kc2 {b} 61... Ka3 {will draw by the 50-move rule}) 44...
Ka6 45. Nc4 (45. Nc8 Ka5 46. Ne7 {I}) 45... Kb7 46. Na5+ Kc7 (46... Ka6 47. Nc6
Kb7 48. Ne7 Ka6 49. Kb4 Kb6 50. Nxg8 {winning}) 47. Nc6 {C} 47... Kd7 48. Kd5
Kc7 49. Ne7 Kb6 50. Kc4 {D} 50... Ka5 51. Nxg8 Ka4 52. Ne7 Ka3 53. Kc3 Ka2 54.
Kc2 Ka3 55. Nc6 Ka2 56. Nb4+ Ka1 57. Nd3 Ka2 58. Nc1+ Ka1 59. Kc3 Kb1 60. Nb3
Ka2 61. Kc2 {b} 61... Ka3 62. Nc1 Ka4 63. Na2 Ka3 64. Nc3 Kb4 65. Nb1 Kc4 66.
Na3+ Kb4 67. Kb2 Ka4 68. Nc2 Kb5 69. Kb3 Kc5 70. Kc3 Kb5 71. Kd4 Ka5 72. Kc5
Ka4 73. Kc4 Ka5 74. Nd4 Ka6 75. Kc5 Ka5 76. Nb5 Ka4 77. Kc4 Ka5 78. Nc3 Ka6 79.
Kd5 Kb6 80. Kd6 Ka6 81. Kc6 Ka5 82. Kc5 Ka6 83. Nd5 Ka7 84. Nb6 Kb7 85. Nc4 Kc7
86. Nd6 Kd7 87. Nb5 Kc8 88. Kb6 Kb8 89. Nd6 Ka8 90. Ne4 Kb8 91. Kc6 Ka7 (91...
Kc8 92. Kd6 Kd8 93. Nc5 Kc8 (93... Ke8 94. Nb7 Kf8 95. Kd7 Kg8 96. Kd8 Kf8 97.
Na5 Kg8 98. Nc6 Kf8 99. Nb8 Kg8 100. g3 Kf8 101. Nd7+ Kg8 102. Ke8 fxg3 103.
Nb8 g2 104. Nc6 g1=Q 105. Ne7#) 94. Ke7 Kc7 95. Kf8 Kd6 96. Ne4+ Kd5 97. Kg8
Kd4 98. Kxh7) 92. Kd7 Kb6 93. Ke7 Kb5 94. Kf8 Kc4 95. Kg8 Kd3 96. Kxh7 1-0
[/pgn]

To correct the serious mistake(playing h4 and h5 to reset the 50-move counter), the pawn at h3 should be put at h5. And there're some other mistakes in that pgn file.

Here's a new version:
[pgn][Result "1-0"]
[FEN "N5bn/5ppr/5prb/5Pp1/5pP1/5P1P/4k1PK/8 w - - 0 1"]
[SetUp "1"]

1. Kg1 Kd3 2. Nb6 Ke2 3. Nd5 Ke1 4. Nc7 Ke2 5. Nb5 Ke1 6. Nd4 Kd1 7. Kf1 Kd2 8.
Nb5 Kd1 9. Nd6 Kd2 10. Kf2 Kd3 11. Ne4 Kc2 12. Ke2 Kc1 13. Nc3 Kc2 14. Nb5 Kb3
15. Kd3 Kb2 16. Kd2 Kb3 17. Nd6 Kb4 18. Kd3 Ka3 19. Kc3 Ka2 20. Nc4 Ka1 21. Kd2
Kb1 22. Kd1 Ka1 23. Kc1 Ka2 24. Kc2 Ka1 25. Na5 Ka2 26. Nb3 (26. Nc6 $2 26...
Ka3 27. Kc3 Ka4 28. Ne7 Kb5 29. Kd4 Kb4 30. Nxg8 Kb3 31. Kd3 Kb2 32. Ne7 Kc1
33. Ke2 Kc2 34. Nd5 Kb3 35. Kd2 {a} 35... Kc4 $11) 26... Ka3 27. Nc1 Ka4 28.
Na2 Ka3 29. Nc3 Kb4 30. Nb1 Kc4 31. Na3+ Kb4 (31... Kd4 32. Kd2 Kd5 (32... Kc5
33. Kc3 Kd5 34. Nc2 {B} 34... Kc5 35. Nd4 Kd5 36. Nb3 Kc6 (36... Kd6 37. Kc4
{D}) 37. Kc4 Kd6 (37... Kb6 38. Nd4 Kb7 (38... Ka5 39. Nc6+ Ka4 40. Ne7 {I})
39. Kc5 {G}) 38. Na5 Ke5 39. Kd3 Kd6 40. Kd4 Kd7 41. Kc5 {H}) (32... Ke5 33.
Kc3 Kd5 34. Nc2 {B}) 33. Kc3 Kc5 34. Nc2 {A}) 32. Kb2 Ka4 (32... Kc5 33. Kc3
Kd5 34. Nc2 {B}) 33. Nc2 Kb5 34. Kb3 Kc5 35. Kc3 {A} 35... Kb5 (35... Kd5 36.
Kb4 Kd6 (36... Ke5 37. Kc4 Kd6 38. Nb4 {E} 38... Ke5 39. Kd3 Kd6 40. Kd4 Kd7
41. Kc5 {I}) (36... Kc6 37. Kc4 {C} 37... Kd6 (37... Kb6 38. Nd4 Kb7 (38... Ka5
39. Nc6+ Ka4 (39... Kb6 40. Ne7 {X}) 40. Ne7 {V}) 39. Kc5 {G}) 38. Nb4 {E}) 37.
Kc4 Kc6 38. Nd4+ {D} 38... Kd6 (38... Kb6 39. Kb4 {F}) 39. Nb3 {D} 39... Kc6
40. Na5+ Kb6 (40... Kd6 41. Kd4 Kd7 42. Kc5 {H} 42... Kc8 43. Nc6 {J}) 41. Kb4
Kc7 (41... Ka6 42. Nc6 Kb7 43. Ne7 Kb6 44. Nxg8 {Y}) 42. Kc5 Kc8 43. Nc6 {J})
36. Kd4 Ka5 (36... Kb6 37. Kc4 Kc6 38. Nd4+ {D}) (36... Kc6 37. Kc4 {C}) 37.
Kc5 Ka4 38. Kc4 Ka5 39. Nd4 Ka4 (39... Ka6 40. Nc6 Kb6 41. Ne7 {X}) (39... Kb6
40. Kb4 {F} 40... Kb7 (40... Kc7 41. Kc5 Kc8 42. Nc6 {J}) (40... Ka6 41. Nc6
Kb7 42. Ne7 Kb6 43. Nxg8 {Y}) 41. Kc5 {G} 41... Kc8 (41... Ka6 42. Nc6 Kb7 43.
Ne7 Ka6 44. Kb4 Kb6 45. Nxg8 {Y}) 42. Nc6 {J}) 40. Nb5 Ka5 41. Nc3 Kb6 42. Kd5
Ka6 (42... Kb7 43. Kc5 Kc7 44. Nd5+ Kd7 45. Nb4 {I} 45... Kc8 46. Nc6 {J} 46...
Kd7 (46... Kb7 47. Ne7 Ka6 48. Nxg8 {W}) 47. Kd5 Kc7 (47... Ke8 48. Kd6 Kf8 49.
Ne7 {Z} 49... Ke8 50. Nxg8 $18) 48. Ne7 Kb6 49. Kc4 {X} 49... Ka5 50. Nxg8 Ka4
51. Ne7 Ka3 52. Kc3 Ka2 53. Kc2 Ka3 54. Nc6 Ka2 55. Nb4+ Ka1 56. Nd3 Ka2 57.
Nc1+ Ka1 58. Kc3 Kb1 59. Nb3 Ka2 60. Kc2 $18 {b}) (42... Kc7 43. Kc5 Kd7 (43...
Kb7 44. Nd5 Ka6 45. Kb4 Kb7 46. Ne7 Kb6 47. Nxg8 $18 {Y}) 44. Nd5 Kd8 (44...
Ke8 45. Kd6 Kf8 46. Ne7 {Z}) 45. Kc6 Ke8 46. Kd6 Kf8 47. Ne7 {Z}) 43. Kc6 Ka5
44. Kc5 Ka6 45. Nd5 Ka5 46. Ne7 Ka4 47. Kc4 {V} 47... Ka3 48. Kc3 Ka2 49. Nxg8
Kb1 50. Kd2 Kb2 51. Ne7 Kb3 52. Nd5 {a} 52... Kc4 53. Nc3 Kb4 54. Nd1 Kc4 55.
Nb2+ Kd4 56. Nd3 Kc4 57. Nc1 Kd4 58. Nb3+ Kc4 59. Kc2 Kb4 60. Nd2 Ka4 61. Kc3
Ka3 62. Nb3 Ka2 63. Kc2 {b} 63... Ka3 64. Nc1 Ka4 65. Na2 Ka3 66. Nc3 Kb4 67.
Nb1 Kc4 68. Na3+ Kb4 (68... Kd4 69. Kd2 Kd5 (69... Kc5 70. Kc3 Kd5 71. Nc2 Kc5
72. Nd4 Kd5 73. Nb3 Ke5 74. Kc4 Kd6 75. Na5 Ke5 76. Nc6+ Kd6 77. Nb4 {d}) 70.
Kc3 Kc5 71. Nc2 {c}) 69. Kb2 Ka4 70. Nc2 Kb5 71. Kb3 Kc5 72. Kc3 {c} 72... Kb5
(72... Kd5 73. Kb4 Kc6 74. Kc4 Kd6 (74... Kb6 75. Nd4 Ka5 76. Kb3 Ka6 77. Ka4
Kb6 78. Kb4 Ka6 79. Nc6 Kb6 80. Na5 Ka6 (80... Kc7 81. Kc5 Kd7 82. Nc4 Kc7 83.
Nd6 {g}) (80... Ka7 81. Kc5 Ka6 82. Nc4 Ka7 83. Kd6 {i}) 81. Nc4 Kb7 82. Kc5
{f}) 75. Nd4 Ke5 76. Nc6+ Kd6 77. Nb4 {d}) 73. Kd4 Ka5 74. Kc5 Ka4 75. Kc4 Ka5
76. Nd4 Ka6 77. Nb5 Kb6 (77... Ka5 78. Nc3 Kb6 79. Kd5 Ka6 80. Kc6 Ka5 81. Kc5
Ka6 82. Nd5 Ka7 (82... Kb7 83. Kb5 {h}) 83. Nb6 {e}) 78. Nc3 Kc6 79. Nd5 Kd6
80. Nb4 {d} 80... Ke5 81. Kd3 Kd6 82. Kd4 Kc7 83. Kc5 Kb7 84. Nd5 Ka7 (84...
Ka6 85. Kb4 Ka7 86. Ka5 Kb7 87. Kb5 {h} 87... Ka7 88. Nc7 Kb7 89. Na6 Kc8
(89... Ka7 90. Nc5 Kb8 91. Kc6 Kc8 92. Ne4 Kd8 93. Nd6 Ke7 94. Kc7 Kf8 95. Kd8
Kg8 96. Nc8 Kf8 97. Nb6 Kg8 98. g3) 90. Kc6 Kd8 91. Kd6 Ke8 92. Nc5 Kd8 93. Ne4
Ke8 94. Kc7 Ke7 (94... Kf8 95. Kd7 Kg8 96. Nd6 Kf8 97. Nc8 Kg8 98. h4) 95. Nd6
Kf8 96. Kd8 Kg8 97. Nc8 Kf8 98. Nb6 Kg8 99. g3) 85. Nb6 {e} 85... Kb7 86. Nc4
{f} 86... Kc7 (86... Ka7 87. Kd6 {i} 87... Kb7 88. Kd7 Ka6 89. Kc6 Ka7 90. Nd6
Ka6 91. Nb7 Ka7 92. Nc5 Kb8 93. Kd7 Ka7 94. Ke7 Kb6 95. Ne4 Kb5 96. Kf8 Kc4 97.
Kg8 Kd3 98. Kxh7) 87. Nd6 {g} 87... Kd7 88. Nb5 Kc8 89. Kb6 Kb8 90. Nd6 Ka8 91.
Ne4 Kb8 92. Kc6 Ka7 (92... Kc8 93. Kd6 Kd8 94. Nc5 Kc8 (94... Ke8 95. Nb7 Kf8
96. Kd7 Kg8 97. Nd6 Kf8 98. Nc8 Kg8 99. h4 Kf8 100. h5 Kg8 101. Nb6 Kf8 102.
Kd8 Kg8 103. g3 Kf8 104. Nd7+ Kg8 105. Ke8 fxg3 106. Nb8 g2 107. Nc6 g1=Q 108.
Ne7#) 95. Ke7 Kc7 96. Kf8 Kd6 97. Ne4+ Kd5 98. Kg8 Kd4 99. Kxh7) 93. Kd7 Kb6
94. Ke7 Kb5 95. Kf8 Kc4 96. Kg8 Kd3 97.Kxh7 1-0
[/pgn]

After Kxh7:

7n/5ppK/5prb/5Pp1/4NpP1/3k1P1P/6P1/8 b - - 0 1

Analysis by Stockfish 151121 64 POPCNT:

1...Ke2 2.Kxh8 Kf1 3.Nd6 Kxg2 4.Nxf7 Kxf3 5.fxg6 Ke3 6.Nxh6 f3 7.Kxg7 f2 8.Kh8 f1=Q 9.g7 Qxh3 10.Kh7 Kf4 11.g8=Q Qd3+ 12.Kh8 Qd7 13.Qf8 Kg3 14.Qxf6 Qd2 15.Qf1 Qd4+ 16.Kh7 Qe4+ 17.Kg7 Qe6 18.Qf6 Qe4 19.Qxg5 Qb7+ 20.Kg6 Qc6+ 21.Qf6 Qe8+ 22.Kg5 Qe3+ 23.Kh5 Qe8+ 24.Qf7 Qd8 25.Qe6 Qh4+ 26.Kg6 Qd8 27.g5 Qh8 28.Qe3+ Kg2 29.Qe2+ Kg1 30.Ng4 Qg8+ 31.Kf5 Qf8+ 32.Ke4 Qe7+ 33.Ne5 Kh1 34.Kf4 Qc7 35.g6 Qc1+ 36.Kg3 Qg1+ 37.Kf3 Qg5 38.Qd1+ Kh2 39.Ng4+ Qxg4+ 40.Kxg4 Kg2 41.Qd2+ Kh1 42.Kf3 Kg1 43.Qg2#
+- (#42) Depth: 79/101 01:23:04 9732MN

[Hobacle]

Here's a new version:
[pgn][Result "1-0"]
[FEN "N5bn/5ppr/5prb/5Pp1/5pP1/5P1P/4k1PK/8 w - - 0 1"]
[SetUp "1"]

1. Kg1 Kd3 2. Nb6 Ke2 3. Nd5 Ke1 4. Nc7 Ke2 5. Nb5 Ke1 6. Nd4 Kd1 7. Kf1 Kd2 8.
Nb5 Kd1 9. Nd6 Kd2 10. Kf2 Kd3 11. Ne4 Kc2 12. Ke2 Kc1 13. Nc3 Kc2 14. Nb5 Kb3
15. Kd3 Kb2 16. Kd2 Kb3 17. Nd6 Kb4 18. Kd3 Ka3 19. Kc3 Ka2 20. Nc4 Ka1 21. Kd2
Kb1 22. Kd1 Ka1 23. Kc1 Ka2 24. Kc2 Ka1 25. Na5 Ka2 26. Nb3 (26. Nc6 $2 26...
Ka3 27. Kc3 Ka4 28. Ne7 Kb5 29. Kd4 Kb4 30. Nxg8 Kb3 31. Kd3 Kb2 32. Ne7 Kc1
33. Ke2 Kc2 34. Nd5 Kb3 35. Kd2 {a} 35... Kc4 $11) 26... Ka3 27. Nc1 Ka4 28.
Na2 Ka3 29. Nc3 Kb4 30. Nb1 Kc4 31. Na3+ Kb4 (31... Kd4 32. Kd2 Kd5 (32... Kc5
33. Kc3 Kd5 34. Nc2 {B} 34... Kc5 35. Nd4 Kd5 36. Nb3 Kc6 (36... Kd6 37. Kc4
{D}) 37. Kc4 Kd6 (37... Kb6 38. Nd4 Kb7 (38... Ka5 39. Nc6+ Ka4 40. Ne7 {I})
39. Kc5 {G}) 38. Na5 Ke5 39. Kd3 Kd6 40. Kd4 Kd7 41. Kc5 {H}) (32... Ke5 33.
Kc3 Kd5 34. Nc2 {B}) 33. Kc3 Kc5 34. Nc2 {A}) 32. Kb2 Ka4 (32... Kc5 33. Kc3
Kd5 34. Nc2 {B}) 33. Nc2 Kb5 34. Kb3 Kc5 35. Kc3 {A} 35... Kb5 (35... Kd5 36.
Kb4 Kd6 (36... Ke5 37. Kc4 Kd6 38. Nb4 {E} 38... Ke5 39. Kd3 Kd6 40. Kd4 Kd7
41. Kc5 {I}) (36... Kc6 37. Kc4 {C} 37... Kd6 (37... Kb6 38. Nd4 Kb7 (38... Ka5
39. Nc6+ Ka4 (39... Kb6 40. Ne7 {X}) 40. Ne7 {V}) 39. Kc5 {G}) 38. Nb4 {E}) 37.
Kc4 Kc6 38. Nd4+ {D} 38... Kd6 (38... Kb6 39. Kb4 {F}) 39. Nb3 {D} 39... Kc6
40. Na5+ Kb6 (40... Kd6 41. Kd4 Kd7 42. Kc5 {H} 42... Kc8 43. Nc6 {J}) 41. Kb4
Kc7 (41... Ka6 42. Nc6 Kb7 43. Ne7 Kb6 44. Nxg8 {Y}) 42. Kc5 Kc8 43. Nc6 {J})
36. Kd4 Ka5 (36... Kb6 37. Kc4 Kc6 38. Nd4+ {D}) (36... Kc6 37. Kc4 {C}) 37.
Kc5 Ka4 38. Kc4 Ka5 39. Nd4 Ka4 (39... Ka6 40. Nc6 Kb6 41. Ne7 {X}) (39... Kb6
40. Kb4 {F} 40... Kb7 (40... Kc7 41. Kc5 Kc8 42. Nc6 {J}) (40... Ka6 41. Nc6
Kb7 42. Ne7 Kb6 43. Nxg8 {Y}) 41. Kc5 {G} 41... Kc8 (41... Ka6 42. Nc6 Kb7 43.
Ne7 Ka6 44. Kb4 Kb6 45. Nxg8 {Y}) 42. Nc6 {J}) 40. Nb5 Ka5 41. Nc3 Kb6 42. Kd5
Ka6 (42... Kb7 43. Kc5 Kc7 44. Nd5+ Kd7 45. Nb4 {I} 45... Kc8 46. Nc6 {J} 46...
Kd7 (46... Kb7 47. Ne7 Ka6 48. Nxg8 {W}) 47. Kd5 Kc7 (47... Ke8 48. Kd6 Kf8 49.
Ne7 {Z} 49... Ke8 50. Nxg8 $18) 48. Ne7 Kb6 49. Kc4 {X} 49... Ka5 50. Nxg8 Ka4
51. Ne7 Ka3 52. Kc3 Ka2 53. Kc2 Ka3 54. Nc6 Ka2 55. Nb4+ Ka1 56. Nd3 Ka2 57.
Nc1+ Ka1 58. Kc3 Kb1 59. Nb3 Ka2 60. Kc2 $18 {b}) (42... Kc7 43. Kc5 Kd7 (43...
Kb7 44. Nd5 Ka6 45. Kb4 Kb7 46. Ne7 Kb6 47. Nxg8 $18 {Y}) 44. Nd5 Kd8 (44...
Ke8 45. Kd6 Kf8 46. Ne7 {Z}) 45. Kc6 Ke8 46. Kd6 Kf8 47. Ne7 {Z}) 43. Kc6 Ka5
44. Kc5 Ka6 45. Nd5 Ka5 46. Ne7 Ka4 47. Kc4 {V} 47... Ka3 48. Kc3 Ka2 49. Nxg8
Kb1 50. Kd2 Kb2 51. Ne7 Kb3 52. Nd5 {a} 52... Kc4 53. Nc3 Kb4 54. Nd1 Kc4 55.
Nb2+ Kd4 56. Nd3 Kc4 57. Nc1 Kd4 58. Nb3+ Kc4 59. Kc2 Kb4 60. Nd2 Ka4 61. Kc3
Ka3 62. Nb3 Ka2 63. Kc2 {b} 63... Ka3 64. Nc1 Ka4 65. Na2 Ka3 66. Nc3 Kb4 67.
Nb1 Kc4 68. Na3+ Kb4 (68... Kd4 69. Kd2 Kd5 (69... Kc5 70. Kc3 Kd5 71. Nc2 Kc5
72. Nd4 Kd5 73. Nb3 Ke5 74. Kc4 Kd6 75. Na5 Ke5 76. Nc6+ Kd6 77. Nb4 {d}) 70.
Kc3 Kc5 71. Nc2 {c}) 69. Kb2 Ka4 70. Nc2 Kb5 71. Kb3 Kc5 72. Kc3 {c} 72... Kb5
(72... Kd5 73. Kb4 Kc6 74. Kc4 Kd6 (74... Kb6 75. Nd4 Ka5 76. Kb3 Ka6 77. Ka4
Kb6 78. Kb4 Ka6 79. Nc6 Kb6 80. Na5 Ka6 (80... Kc7 81. Kc5 Kd7 82. Nc4 Kc7 83.
Nd6 {g}) (80... Ka7 81. Kc5 Ka6 82. Nc4 Ka7 83. Kd6 {i}) 81. Nc4 Kb7 82. Kc5
{f}) 75. Nd4 Ke5 76. Nc6+ Kd6 77. Nb4 {d}) 73. Kd4 Ka5 74. Kc5 Ka4 75. Kc4 Ka5
76. Nd4 Ka6 77. Nb5 Kb6 (77... Ka5 78. Nc3 Kb6 79. Kd5 Ka6 80. Kc6 Ka5 81. Kc5
Ka6 82. Nd5 Ka7 (82... Kb7 83. Kb5 {h}) 83. Nb6 {e}) 78. Nc3 Kc6 79. Nd5 Kd6
80. Nb4 {d} 80... Ke5 81. Kd3 Kd6 82. Kd4 Kc7 83. Kc5 Kb7 84. Nd5 Ka7 (84...
Ka6 85. Kb4 Ka7 86. Ka5 Kb7 87. Kb5 {h} 87... Ka7 88. Nc7 Kb7 89. Na6 Kc8
(89... Ka7 90. Nc5 Kb8 91. Kc6 Kc8 92. Ne4 Kd8 93. Nd6 Ke7 94. Kc7 Kf8 95. Kd8
Kg8 96. Nc8 Kf8 97. Nb6 Kg8 98. g3) 90. Kc6 Kd8 91. Kd6 Ke8 92. Nc5 Kd8 93. Ne4
Ke8 94. Kc7 Ke7 (94... Kf8 95. Kd7 Kg8 96. Nd6 Kf8 97. Nc8 Kg8 98. h4) 95. Nd6
Kf8 96. Kd8 Kg8 97. Nc8 Kf8 98. Nb6 Kg8 99. g3) 85. Nb6 {e} 85... Kb7 86. Nc4
{f} 86... Kc7 (86... Ka7 87. Kd6 {i} 87... Kb7 88. Kd7 Ka6 89. Kc6 Ka7 90. Nd6
Ka6 91. Nb7 Ka7 92. Nc5 Kb8 93. Kd7 Ka7 94. Ke7 Kb6 95. Ne4 Kb5 96. Kf8 Kc4 97.
Kg8 Kd3 98. Kxh7) 87. Nd6 {g} 87... Kd7 88. Nb5 Kc8 89. Kb6 Kb8 90. Nd6 Ka8 91.
Ne4 Kb8 92. Kc6 Ka7 (92... Kc8 93. Kd6 Kd8 94. Nc5 Kc8 (94... Ke8 95. Nb7 Kf8
96. Kd7 Kg8 97. Nd6 Kf8 98. Nc8 Kg8 99. h4 Kf8 100. h5 Kg8 101. Nb6 Kf8 102.
Kd8 Kg8 103. g3 Kf8 104. Nd7+ Kg8 105. Ke8 fxg3 106. Nb8 g2 107. Nc6 g1=Q 108.
Ne7#) 95. Ke7 Kc7 96. Kf8 Kd6 97. Ne4+ Kd5 98. Kg8 Kd4 99. Kxh7) 93. Kd7 Kb6
94. Ke7 Kb5 95. Kf8 Kc4 96. Kg8 Kd3 97.Kxh7 1-0
[/pgn]

After Kxh7:

7n/5ppK/5prb/5Pp1/4NpP1/3k1P1P/6P1/8 b - - 0 1

Analysis by Stockfish 151121 64 POPCNT:

1...Ke2 2.Kxh8 Kf1 3.Nd6 Kxg2 4.Nxf7 Kxf3 5.fxg6 Ke3 6.Nxh6 f3 7.Kxg7 f2 8.Kh8 f1=Q 9.g7 Qxh3 10.Kh7 Kf4 11.g8=Q Qd3+ 12.Kh8 Qd7 13.Qf8 Kg3 14.Qxf6 Qd2 15.Qf1 Qd4+ 16.Kh7 Qe4+ 17.Kg7 Qe6 18.Qf6 Qe4 19.Qxg5 Qb7+ 20.Kg6 Qc6+ 21.Qf6 Qe8+ 22.Kg5 Qe3+ 23.Kh5 Qe8+ 24.Qf7 Qd8 25.Qe6 Qh4+ 26.Kg6 Qd8 27.g5 Qh8 28.Qe3+ Kg2 29.Qe2+ Kg1 30.Ng4 Qg8+ 31.Kf5 Qf8+ 32.Ke4 Qe7+ 33.Ne5 Kh1 34.Kf4 Qc7 35.g6 Qc1+ 36.Kg3 Qg1+ 37.Kf3 Qg5 38.Qd1+ Kh2 39.Ng4+ Qxg4+ 40.Kxg4 Kg2 41.Qd2+ Kh1 42.Kf3 Kg1 43.Qg2#
+- (#42) Depth: 79/101 01:23:04 9732MN

Well, the following pgn file is easier to understand:
[pgn][Result "1-0"]
[FEN "N5bn/5ppr/5prb/5Pp1/5pP1/5P1P/4k1PK/8 w - - 0 1"]
[SetUp "1"]

1. Kg1 Kd3 2. Nb6 Ke2 3. Nd5 Ke1 4. Nc7 Ke2 5. Nb5 Ke1 6. Nd4 Kd1 7. Kf1 Kd2 8.
Nb5 Kd1 9. Nd6 Kd2 10. Kf2 Kd3 11. Ne4 Kc2 12. Ke2 Kc1 13. Nc3 Kc2 14. Nb5 Kb3
15. Kd3 Kb2 16. Kd2 Kb3 17. Nd6 Kb4 18. Kd3 Ka3 19. Kc3 Ka2 20. Nc4 Ka1 21. Kd2
Kb1 22. Kd1 Ka1 23. Kc1 Ka2 24. Kc2 Ka1 25. Na5 Ka2 26. Nb3 (26. Nc6 $2 26...
Ka3 27. Kc3 Ka4 28. Ne7 Kb5 29. Kd4 Kb4 30. Nxg8 Kb3 31. Kd3 Kb2 32. Ne7 Kc1
33. Ke2 Kc2 34. Nd5 Kb3 35. Kd2 Kc4 36. Nc3 Kb4 37. Nd1 Kc4 38. Nb2+ Kd4 39.
Nd3 Kc4 40. Nc1 Kd4 41. Nb3+ Kc4 42. Kc2 Kb4 43. Nd2 Ka4 44. Kc3 Ka3 45. Nb3
Ka2 46. Kc2 Ka3 47. Nc1 Ka4 48. Na2 Ka3 49. Nc3 Kb4 50. Nb1 Kc4 51. Na3+ Kb4
52. Kb2 Ka4 53. Nc2 Kb5 54. Kb3 Kc5 55. Kc3 Kb5 56. Kd4 Ka5 57. Kc5 Ka4 58. Kc4
Ka5 59. Nd4 Ka6 60. Nb5 Kb6 61. Nc3 Kc6 62. Nd5 Kd6 63. Nb4 Ke5 64. Kd3 Kd6 65.
Kd4 Kc7 66. Kc5 Kb7 67. Nd5 Ka7 68. Nb6 Kb7 69. Nc4 Kc7 70. Nd6 Kd7 71. Nb5 Kc8
72. Kb6 Kb8 73. Nd6 Ka8 74. Ne4 Kb8 75. Kc6 Kc8 76. Kd6 Kd8 77. Nc5 Ke8 78. Nb7
Kf8 79. Kd7 Kg8 80. Nd6 $11) 26... Ka3 27. Nc1 Ka4 28. Na2 Ka3 29. Nc3 Kb4 30.
Nb1 Kc4 31. Na3+ Kb4 32. Kb2 Ka4 33. Nc2 Kb5 34. Kb3 Kc5 35. Kc3 Kb5 36. Kd4
Ka5 37. Kc5 Ka4 38. Kc4 Ka5 39. Nd4 Ka4 40. Nb5 Ka5 41. Nc3 Kb6 42. Kd5 Ka6
(42... Kb7 43. Kc5 Kc7 44. Nd5+ Kd7 45. Nb4 Kc8 46. Nc6 Kd7 47. Kd5 Kc7 48. Ne7
Kb6 49. Kc4 (49. Nxg8 $2 49... Kb5 $11) 49... Ka5 50. Nxg8 $18) 43. Kc6 Ka5 44.
Kc5 Ka6 45. Nd5 Ka5 46. Ne7 Ka4 47. Kc4 Ka3 48. Kc3 Ka2 49. Nxg8 Kb1 50. Kd2
Kb2 51. Ne7 Kb3 52. Nd5 Kc4 53. Nc3 Kb4 54. Nd1 Kc4 55. Nb2+ Kd4 56. Nd3 Kc4
57. Nc1 Kd4 58. Nb3+ Kc4 59. Kc2 Kb4 60. Nd2 Ka4 61. Kc3 Ka3 62. Nb3 Ka2 63.
Kc2 Ka3 64. Nc1 Ka4 65. Na2 Ka3 66. Nc3 Kb4 67. Nb1 Kc4 68. Na3+ Kb4 69. Kb2
Ka4 70. Nc2 Kb5 71. Kb3 Kc5 72. Kc3 Kb5 73. Kd4 Ka5 74. Kc5 Ka4 75. Kc4 Ka5 76.
Nd4 Ka6 77. Nb5 Kb6 78. Nc3 Kc6 79. Nd5 Kd6 80. Nb4 Ke5 81. Kd3 Kd6 82. Kd4 Kc7
83. Kc5 Kb7 84. Nd5 Ka7 85. Nb6 Kb7 86. Nc4 Kc7 87. Nd6 Kd7 88. Nb5 Kc8 89. Kb6
Kb8 90. Nd6 Ka8 91. Ne4 Kb8 92. Kc6 Ka7 (92... Kc8 93. Kd6 Kd8 94. Nc5 Kc8
(94... Ke8 95. Nb7 Kf8 96. Kd7 Kg8 97. Nd6 Kf8 98. Nc8 Kg8 99. h4 Kf8 100. h5
Kg8 101. Nb6 Kf8 102. Kd8 Kg8 103. g3 Kf8 104. Nd7+ Kg8 105. Ke8 fxg3 106. Nb8
g2 107. Nc6 g1=Q 108. Ne7#) 95. Ke7 Kc7 96. Kf8 Kd6 97. Ne4+ Kd5 98. Kg8 Kd4
99. Kxh7 $18) 93. Kd7 Kb6 94. Ke7 Kb5 95. Kf8 Kc4 96. Kg8 Kd3 97. Kxh7 $18
97... Ke2 98. Kxh8 Kf1 99. Nd6 Kxg2 100. Nxf7 Kxf3 101. fxg6 Kg3 102. Nxh6 f3
103. Kxg7 f2 104. Kh8 f1=Q 105. g7 Qxh3 106. Kh7 Kf4 107. g8=Q Qd3+ 108. Kh8
Qc3 109. Qf7 Kg3 110. Kh7 Qe5 111. Qc4 Kh4 112. Nf5+ Kh3 113. Kg6 Qe8+ 114.
Kxf6 Qd8+ 115. Kg6 Qe8+ 116. Kxg5 Qd8+ 117. Kg6 Qe8+ 118. Kh7 Qe5 119. Nh6 Qe7+
120. Kg6 Qe8+ 121. Nf7 Qg8+ 122. Kh5 Qh7+ 123. Nh6 Qe7 124. Qf1+ Kh2 125. g5
Qe8+ 126. g6 Qe5+ 127. Qf5 Qh8 128. g7 Qe8+ 129. Kg5 Qd8+ 130. Qf6 Qa5+ 131.
Kg6 Qd5 132. g8=Q Qg2+ 133. Kh5 Qf3+ 134. Kg5 Qe3+ 135. Qf4+ Qg3+ 136. Kf5
Qxf4+ 137. Kxf4 Kh1 138. Kf3 Kh2 139. Qg2# 1-0
[/pgn]