Why Ali "r.a" accept arbitration with Mu'aawiya "r.a"?

holy prophet was holy prophet from allah ...why he accepted ....treaty ...just with the name of ....muhammed bin abdullah ....and word holy prophet was erased....imam han threw away the government .....they are not dependent upon government ...to be honoured ......but its government ....which would had been honoured ...but muslims chossed ....to honour those who grabbed the government ....this is the basic mistakes in attitusdes...they supported yazid ....neglected hussain ....