Take a look at this 'KQRRN vs kqbp' mate in 4 chess puzzle created by Chesthetica using the relatively new computational creativity approach called the 'DSNS'. Chesthetica is able to generate various types of mates and study-like constructs and also compose problems using specific combinations of pieces fed into it (such as using only a queen vs. rook and knight). Learn more about it on ChessBase. The largest endgame tablebase in existence today is for 7 pieces (Lomonosov) which contains over 500 trillion positions, most of which have not been seen by human eyes. This problem with 9 pieces goes even beyond that and was therefore composed without any such help.
White to Play and Mate in 4
Chesthetica v11.20 (Selangor, Malaysia)
Generated on 29 May 2019 at 4:52:22 AM
Humans have been composing original chess problems for over a thousand years. Now a computer can do it too. White is over a rook's worth in material but the precise win in this position still needs to be found. Leave a comment below, if you like. Collectively, these puzzles are intended to cater to players of all levels.
Main Line of the Solution (Skip to 0:35)
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if Kh1 checkmate in 3
After 1. Kh1 Bxd2, it's probably a draw.
If black Queen move Qh1 instead of taking the rook then Qh3#