The omnipotence paradox is generally summed up by the phrase or some form of the phrase "Can God create a rock so large that he can't lift it?". Either God can or can't create the rock. If he can create a rock so big he can't lift it then he's not omnipotent because he can't lift it. If he can't create a rock that big in the first place then he's still not omnipotent.
The omnipotence paradox is related to the irresistable force paradox which asks the question "What happens when an irresistable force meets an immovable object?" The latter is self-contradictory since an irresistable force would deny the existance of an immovable object and vice versa. Thus, to say that an irresistable force could ever meet an immovable object is absurd. The same logic applies to the omnipotence paradox. If God is omnipotent then it's not possible for a rock to be too heavy for him to lift. If a rock is too heavy for God to lift then he's not omnipotent. Thus, the omnipotence paradox is absurd and, therefore, it doesn't make much sense to use it in an argument.