If one doesn't conk out from exhaustion naturally or the other one doesn't knock out from health concerns that way this time...then I see no reason why a ruling can't be made to cut to the chase. Just wait and see how this pair of turns plays out, I guess.
@Double He didn't do plenty of damage. He did a base damage plus whatever he rolled, which ended up eleven in total. Also, you may notice that this combat system is being put to the test as we RP in order to perfect it.