Not sure if this was your intent, but what WOULD the result be of an AI reimplemented SQLite? They've got some of the best technical documentation in the game; there are lots of directions this could go...
It can generate plausible code because the examples are already in the training set, the documentation, the how-to-write-a-database, other databases, etc.
But unless you could write SQLite yourself it will be hard to specify a good one and to get the generator to produce a correct implementation.
