The Argument from Evil as Saige phrases it is as follows:
  1. God is omnipotent.
  2. God doesn't like evil.
  3. God could and would eliminate evil.
  4. Evil is still here.
  5. Therefore, God does not exist.

This is not a proof. The logical fallacy lies squarely in statement #3: that God would utterly eliminate all evil from the world if such a thing were possible.

As Saige points out, the free will argument comes into play here:

  • Assume God wants to eliminate all evil.
  • If all evil is eliminated, then all free will must be eliminated.
  • But God refuses to eliminate free will.
  • Therefore, God does not want to eliminate all evil.