Boy, this is giving all kinds of vibes. Halo, Star Trek, a bit of Lovecraft. With a lot more boobs, though. I think that would be Mass Effect, then.
Last time I met an AI called Tycho I had to go through many hoops across time-space/dimensions/dreams(?) in order to kill it. I think. I didn't really understand what was going on then. Sweet dual shotguns, though.
But man, this needs an anime. A movie trilogy could cover each volume just fine, while expanding on a few sequences, without sacrificing the sex scenes.