As the other player, the AIP there was double the value before we had both been beaten down.
I also didn't see any exo-fleet messages, whatever they are.
I think our big problem was that we took out too many ai bases without expanding. Though I admit this is from someone who spent the first couple of minutes flailing at the controls. I have only played twice before, and that was when there was only one expansion, and the fake was on Impulse.
Don't remember winning then, either.