A logical fallacy where several premises are asserted such that they cannot all be true at the same time. The propositions in question may be contradictory or contrary. Proving this logical fallacy is one of the methods of Proof by Contradiction.

Example: x, y, and z are real numbers. x > y, y > z, and z > x

To prove that the premises are inconsistent, assume one is true and use it to prove one of the others false.