well all i know is if there are no (Battering Rams) in the equation if catahracts have max tech there is no combination of units if its 100k vrs 100k that can kill 100k cataphracts none zip zero not even catapults and ballistas nothing put together any units that equal 100k and send them against 100k cataphracts with max tech you lost not even 50k archer 50k cataphracts nothing 100k cataphracts win. especially if defending with wall defense support cant loose. Do the math I already did.