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Comment by auyez
Even from survival perspective I think it make sense for an synthetic AI to keep humanity alive in order to have a backup for itself. If we imagine some sci-fi scenario, then it make more sense for it to move itself to the Moon or Mars, and keep Earth as a reserve planet where biological species can in case of catastrophy recreate AI again. Killing humanity or keeping only animals would be very time consuming because evolution might take million years and also no guaranteed to be replicated (Because we might have altered a lot of resources that were low hanging fruits, that are now require advanced knowledge to mine)