To cause to cease to be unified; to split up or dissociate.(verb)
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Use "disunify" in a sentence
"Listening to Howard Dean's speehes allover the place, I think what would disunify the party more, is inserting all these rules before the end of the scheduled primaries! bashing voters from start to the near end is going to bring no unity."
"Yet noone seriously wants to disunify Fraktur from Latin. ""