An inconsistent triad is a set of three propositions, only two of which can be true at one time. The most famous example of this commonly cited is the one posed by the Problem of Evil. This takes the form of:
Atheists who adhere to strong atheism argue that this inconsistent triad disproves God, as they claim an all-loving and all-powerful God would not allow evil to occur, and the fact that evil does occur suggests that God is either not omnibenevolent or not omnipotent. However, there have been attempts by Christian apologists to reconcile God with all three propositions, these take the form of theodicies.