I played a bot game yesterday, and it took me 2 hours to kill the 3 planets that the bot had left.  The bot had just 3 Akkan Battlecruisers, but he was able to keep up Armistice constantly.  I never actually killed his fleet.  I just outmaneuvered him and killed off his planets to make him surrender.  This ability desperately needs a cooldown increase because while bots can be annoying with it, a human player could just run around in a last flagship standing game and cause a stalemate indefinitely until his opponent, while being the clear winner, surrenders out of boredom.  Or, a player could run around in his opponents space with Armistice up for hours.  I just think that the ability is too easily used as a dick move.