Consider this KNNNN vs krr mate in 5 chess problem generated autonomously by a computer program, Chesthetica, using the relatively new computational creativity approach called the 'DSNS'. There is also no proven limit to the quantity or type of legal compositions that can be automatically generated.
Note that not all the chess problems are like this. They cover quite the spectrum of solving ability and there are over a thousand published already. This particular problem was also featured on ChessBase .
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