If your new theorem can be stated with great simplicity, then there will exist a pathological exception.
In H. Eves Return to Mathematical Circles, Boston: Prindle, Weber and Schmidt, 1988.
A Cow, a Horse and a Goat
A cow, a horse, and a goat were in a wheat field and consumed some stalks of wheat. Damages of 5 baskets of grain were asked by the wheat field's owner. If the goat ate one half the number of stalks as the horse, and the horse ate one half of what was eaten by the cow, how much should be paid by the owners of the goat, horse, and cow, respectively? (Nine Chapters on the Mathematical Art, China, c. 100 BCE)