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FD1
Free will is a HOG
FD2
If free will is a HOG, then its logically impossible to eliminate every evil without eliminating an equal or greater good
FD3
Therefore, it is logically impossible to eliminate every evil without eliminating an equal or greater good
GE1
A perfectly good, omnipotent being eliminates every gratuitous evil
GE2
If god exists, then god is perfectly good and omnipotent
GE3
Therefore, if God exists, then god eliminates every gratuitous evil
GE4
Therefore, if god exists, then there is no gratuitous evil
GE5
There is gratuitous evil
GE6
Therefore, God does not exist
HOG
higher order good- a great good the existence of which logically requires certain evil
omnipotence clarified
the ability to do anything that is logically possible