peter wrote: ↑Mon Mar 08, 2021 1:45 pm[pgn][Event "Outskirts?"]
[Site "?"]
[Date "2020.09.14"]
[Round "?"]
[White "White, to Move"]
[Black "and Win"]
[Result "1-0"]
[SetUp "1"]
[FEN "8/8/2k5/3N4/8/4N1p1/4Kprp/B5bn w - - 0 1"]
[PlyCount "95"]
1. Kf1 Kc5 2. Nf6 Kd6 3. Nfd5 Kc5 4. Nf4 Kb4 5. Bb2 Kb5 6. Ba3 Kc6 7. Ne6 Kd7
8. Nd4 Ke8 9. Bd6 Kd7 10. Nc4 Ke8 11. Ne5 Kd8 12. Ne6+ Ke8 13. Ng7+ Kd8 14.
Ne6+ Kc8 15. Nc5 Kd8 16. Nf7+ Ke8 17. Ne5 Kd8 18. Nc6+ Kc8 19. Ne7+ Kd8 20.
Nc6+ Ke8 21. Bb8 Kf7 22. Be5 Kg6 23. Ne7+ Kf7 24. Nc8 Kg6 25. Nd6 Kg5 26. Ne6+
Kh5 27. Nf5 Kg6 28. Nd6 Kh7 29. Nf8+ Kg8 30. Ng6 Kh7 31. Ne7 Kh6 32. Nf7+ Kh7
33. Ng5+ Kh6 34. Bf6 Kh5 35. Nf7 Kg4 36. Bg5 Kf3 37. Nd6 Kg4 38. Bc1 Kh5 39.
Nc4 Kg4 40. Ne5+ Kh4 41. Bd2 Kh5 42. Nd5 Kh4 43. Nf6 Kh3 44. Nc6 Kh4 45. Nd4
Kh3 46. Ne6 Kh4 47. Bg5+ Kh3 48. Nf4# 1-0
[/pgn]
DTM I'm not sure about, got it just by playing out and it's too long to keep it in hash easily at Backward, but it should work within 50 moves boundary, which is the main problem as for engines' output, I guess, getting once and again 50 moves- draw into search- horizon before mating score arises.
If it's a study, which I don't know, neither the author, if it is one, 50 moves wouldn't count, studies don't have such a boundary. Found it once at Outskirts- Forum from a user I don't know neither and without solution too.
Maybe engines with 50 moves rule to be switched off would get it soon, not as for DTM but as for White wins- eval.
Edit: For those registered at Outskirts, here's what Peter Grayson wrote about the problem there then:
http://outskirts.altervista.org/forum/v ... ost#p19077
If this is a valid solution, then it's a tricky one for engines because an engine is going to want to take the rook, letting the bishop out and probably making the mate impossible.
It might be possible to prove the above solution works by induction: probably by proving that it's possible to move the king to the edge, and then to move it around the edge.