As I mentioned before, the logical or deductive form of the argument from evil attempts to demonstrate a contradiction in the theist's beliefs that an omnibenevolent, omnipotent God and evil exist at the same time.  The logical challenge can and has been answered decisively, starting with Alvin Plantinga in his famous book, God, Freedom, and Evil. 

Keep in mind atheist J.L. Mackie's argument from my earlier post, which can be outlined this way: 

1. God exists and is omnipotent and perfectly good.
2. A perfectly good being always eliminates evil as far as it can.
3. There are no limits to what an omnipotent being can do.
4. Evil exists.
5. Therefore, God does not exist.