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You are barking up the wrong tree. Even most devoutly religious people do not claim that God has the power to be self contradictory. He can"t make the word "cat" out of the leters d o g.

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To clarify this seeming problem, the contradiction is merely apparent on the earthly plane. All bets are off in the afterlife and God can decide to do whatever he wants...theoretically. This MUST be accepted as a possibility if one accepts God's infinite power.
-g