One such "stalemate" might be an Adramelech Warlock walled off in a corner by Wall of Earth with no non-Flame attacks available and no Eagleclaw Boots, while a holy mage on the other side of the wall just sits there gaining life from Sunfire Amulet with no intention of taking down the wall.
I think two rational players would call this a win for the holy mage, as afters say 100,000 rounds, the holy mage could tear down the wall, then gradually wear down the Warlock, even if his/her only attack is basic melee attack.