Too difficult for computers

SO DIFFICULT!!!

AMAZING!!! The queen is the most useful piece in chess!!!

Hundred percent. We must applaud your true "geniusness."

This position only works because the bishop on a1 is locked into place, no other piece could be trapped there. So blunder alert do not box your bishop and king into a corner as part of a fortress attempt.

Same Lol!

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What amazing with this endgame is all of the ways it can be blundered with reasonably intuitive moves.

You have to "dig" move 6.

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Here's a nice white to move and mate in 15 that engines are clueless on:

The specialized engine (The Huntsman 1) finds #15 almost instantly.

You're right, I must have forgot to try The Hunstman 1 on this one (a serious faux pas on my part as The Huntsman 1 is a good Mate-Finder!), so here is a mate in 27 that The Huntsman 1 and all other engines, unless I'm mistaken again  may find difficult:

I'll post the solution tomorrow.

A human need no more than a few seconds to find that the solution is illegal....

He can also find without much difficulty the winning Ne4-Nf7+ idea, which needs the elimination of the Be8 to make it work.

It's interesting that after 3-4 minutes the Huntsman finds the king trip to e8, and then the king back to h3, and eventually Ne5. However, he doesn't find the f3-f4 idea, which leads to faster (and more pretty) checkmates.

I must admit I don't see how the solution is "illegal", however you're correct that it is another royal march by the White King to e8, but the White King doesn't go back to h3 in the solution, anyways here is the solution to get the mate down to 27 moves:

Well, the position is illegal and that is sufficient to declare the solution illegal. The white pawns made at least 4 capturing moves from the PAS while only one black unit is missing in the diagram.

This. The solution is legal moves, but the initial position is certainly illegal, which also affects the solution.

No matter how clever the solution is, the problem will never find its way to the FIDE album (which is in a sort of hiatus, anyway).

I believe that within FIDE rules, if the players knock the pieces over, reconstruct the position and continue the game to the end then sign their scoresheets, the result stands even if they reconstructed the position wrongly. This makes virtually all positions FIDE legal!

Wow

The signing of the scoresheet is not part of the game space but of the competition management. The game end position is the final goodbye to legality and illegality of game events. After it, stuffing 32 weird looking wooden objects in an undersized box is perfectly "legal". @jetoba (FIDE arbiter) has described how this even applies to "dead positions". When the players continue playing unaware that their position is dead, all their moves, resignations or agreements are cancelled in retrospect. Even signed scoresheets may be overturned by the TD - when it's clearly a mistake and detected before the next round. But that's competition, not game law. Note that higher management can also declare a complete competition "illegal". For instance, I bet that the players never got ELO-points for the Fischer-Spasski return match.

Btw, the scenario of incorrect reconstruction (or illegal moves) followed by continuation of the game only exists under Rapid and Blitz conditions. That the players are allowed to continue "the game" (there is no game) serves only to establish a competition score to fill the void of a missing game score! But to keep things simple, why would we solve any puzzle by Rapid rules?