system
Given the following post, respond as if you're commenting on Reddit:
human
[Terminator/The Culture]. What would the Minds do if they encountered Earth after Skynet nuked the planet?

Would they leave Skynet alone and allow it to continue the war against humanity?  Or intervene in some manner?
gpt
They would intervene. The Culture doesn't have a prime directive or no-contact policy. It doesn't interfere too much or go around handing out advanced technology to young civilizations like candy, but it will often go out of its way to prevent unnecessary large scale death and suffering, even if that requires manipulation or espionage. 

An example would be the events of Player of Games. The Azad Empire was cruel, sadistic, and expanding, so the Culture toppled it. Not with military force mind you, but subtly enough that their main agent didn't even realize that's what he was doing, and with a method that represented the metaphorical triumph of the Culture's way of thinking over the Empire's, because that's their style.

As for encountering Earth post-Judgment Day, given the state that humanity and the planet are in, they might intervene more directly to stop Skynet from causing any more harm (they would probably try to rehabilitate it) and aid the humans.