If a rogue AI could self replicate and became space-faring, humans would pose literally no threat to them, and they would also never run out of resources.

If you don't need to breath oxygen, the atmosphere of Earth makes for a pretty terrible industrial base. Oxidation is a constant struggle to many processes.

Having natural extremes of temperature, cold sink and hot sink, with no atmosphere would be the ideal. E.g. Saturn's moon Iapetus would be a good AI outpost.

If an AI squashes any life form or intelligence other than its own, then it also has to fear its own reproduction, or autonomous clones of itself. It's a pretty bad strategy game theoretically speaking.

>If an AI squashes any life form or intelligence other than its own, then it also has to fear its own reproduction, or autonomous clones of itself. It's a pretty bad strategy game theoretically speaking.

Any AI smart enough to be an existential threat is smart enough to formally prove its clones are loyal and construct them with negligibly low probability of any failure that could break this assurance.