Here is a 'KQBP vs kp' five-move chess problem generated by a computer using the Digital Synaptic Neural Substrate (DSNS) computational creativity approach. It doesn't use endgame tablebases, deep learning or any kind of traditional AI. There is also no proven limit to the quantity or type of legal compositions that can be automatically generated.

White to Play and Mate in 5
Chesthetica v10.64 : Selangor, Malaysia
2018.5.9 8:50:11 PM
Chess puzzles are ancient. Some are over a thousand years old but only in the 21st century have computers been able to compose original ones on their own like humans can. Now, let's see what else there is to say. Give me a moment. Did you find this one interesting or have something else to say? Leave a comment below! Solving chess puzzles like this is probably good for your health as it keeps your brain active. Nobody wants something like early-onset Alzheimer's.
Solution (Skip to 0:35)

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