Nothing which implies contradiction falls under the omnipotence of God.
The problem of vindicating an omnipotent and omniscient God in the face of evil is insurmountable. Those who claim to have surmounted it, by recourse to notions of free will and other incoherencies, have merely heaped bad philosophy onto bad ethics.
If God is all powerful, can He make a stone so big that He Himself can't lift it?
If God is so powerful, can he create a rock which he cannot lift?
If God cares about our puny species, then disasters prove that he is not all-powerful; and if he is all-powerful, then clearly he doesn't give a damn.