The most beautiful puzzle that my engine can never solve

After ..Ka2 .Nc3+ white wins on his material superiority since the black pawn does not threaten to promote anymore. The black king survives longer than in the main line but that is irrelevant in endgame studies. What counts is finding clever defenses and not simply delaying the inevitable mate.

Either way white is going to win. Maybe a2 is a shorter mate so c1 prolongs it. 

that was a beautiful puzzle.

Knightmare 

Stockfish 15 NNUE (stronger, 45MB) at depth 50 found mate in 20.

I'll let it run to depth 99 and we can see what the puzzle moves really are.

Even in 2020 the engine saw it hmmm

did the engine the fm was using get Covid

Impossible because no chess game can reach 1000 moves without being drawn.

This is very nice. Who composed it?

This is hard

4...Kc1?
4...Ka2 [is best, still white wins, but not that fast]

My engine (Stockfish) says it's a draw.

Have a real one that engines can't solve:

Amazing

Stockfish says that Qb8 is a mistake for black, causing a draw.

Stockfish doesn't understand this position, and you should not blindly think that Stockfish is correct without actually looking at the position. Black is LOSING this game no matter where he moves the Queen as both the Black King AND the Black Queen are TRAPPED in that corner of the board by the pawns and AND the White Knight on d8, and they can do nothing but move back and forth in that corner while the White King and Bishop scoop up the Kingside pawns, after that the White King comes down to assist in the capture of the c7 pawn and is able to push his c6 pawn on to victory, Black loses no matter where he moves the Queen in ALL scenarios, or no matter what Stockfish thinks.

:tup

A Chess puzzle does not have to have originated from a game. I have seen many extremely abstract positions as in 4 pawns on a file in the setup.