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I admit, I was wrong. I tried it myself on a 2-month-old save, and there were 104 centaurs left. Why didn't it work before...?
I remember reading somewhere (but I don't remember where) that they can't be killed that easily. I tried it myself back then, but I was a complete noob, so I also came to the conclusion that it wouldn't work. Now I'm a little less of a noob, but the idea that it's impossible to win by brute force was firmly stuck in my head, so I came up with this twisted method =).
Well, at least I managed to beat it =P.
P.S. 2 dnaop-wr, thanks for the encouragement!