There's this town with two blacksmiths - one, a swordsmaker and the other, a shield maker. The swordsmaker's swords can slice through anything as a rule and the other guy's shields cannot be destroyed. Now they get cut up with each other for some reason and pit their wares against each other. What do you expect happens?
the sword would be able to cut through the shield, but take an infinitely long time to do so (for example penetrating 50% in the first second, 25% more in the next, and so on.....