An evidential POE argument from Peter Hurford of Greatplay.net:
1. Needless suffering, by definition, is any suffering that doesn’t exist because of a higher good.
2. Needless suffering, by definition, could be eliminated with no consequences.
3. Any all-good entity desires to eliminate all needless suffering.
4. Any all-knowing entity would know of all needless suffering, if any needless suffering exists.
5. Any all-powerful entity would be capable of eliminating all needless suffering.
6. Our world contains needless suffering.
7. Therefore from 1, 2, 3, 4, and 5, and 6, an all-good, all-powerful, and all-knowing entity cannot exist.
8. God, as described by the major religions is all-good, all-powerful, and all-knowing.
9. Therefore from 7 and 8, God as described by the major religions does not exist.
I recently said that all the POE arguments I’ve heard reduce to arguments from incredulity, and this argument is no different. Inability to conceive of a higher good is the only thing grounding the claim that any given instance of suffering is needless. 6 is a naked assertion sustained only by incredulity. That alone invalidates the argument in my opinion, but I can make a stronger case.