It generally happens when the enemy in question has a widely spread out empire with a high level of corruption and discontent.
I am not entirely sure on the specifics of how the computer determines when it will schism, but it is a feature I always look upon fondly...
Why?
It is due to a Civ1 memory, of splitting the massive Mongol empire by taking Samarkand with a desparate raid from the pitiful Americans...Happy days, many years ago...
That means one of the Seven Players has been killed.
The Capitol does NOT have to be in disorder, but it may make schism more likely.
I was playing as Dennmark, with two cities, and the Russians were HUGE! So I made a tactical strike on Minsk and up came the Persians! I financed them with 7500 gold, and gave them Stealth and one Nuclear Missle. I love financing Rebels and the underdog...
No, this is not a requirement. Many threads about this topic have come up, and not one has led to a real consensus about what is needed except your other two points. The rest remains unclear...
Here are 3 saves in the zip, 2 time a split and one time not!
The only difference is that for a split the AI civ had more cities than my civ.
So here are the 3 important saves of my test. I have tested more, different government types, turns played, civil disorder or not, etc!
Not one of these factors influenced the outcome.
Only one more city is needed and voila, a split!
What I haven´t tested is whether a certain technology influences the outcome!
But not population, territory nor distance to the capital play a role, only number of cities.
I have made some further tests and they have shown what I have edited into my post above!
Here I have another really nice split of my own civ. Just on enemy city remaining, all techs researched, etc. I changed the playing civ and conquered my ex-capital! Notice the fine split, continent stays mine, all colonies split off!
One more potential factor I didn't see mentioned in your tests: does position on the Powergraph (Supreme, etc) have an impact? Does the other civ need to be more powerful than you for it to split?
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