## 8. The Fifth Story

- Here is your sugar,- said the King.- You can bake me some pretzels.
- How, without salt? - asked the Queen.

Indeed! The salt was stolen too! The investigation established that the theft could have been committed by the Caterpillar, Lizard Bill, or the Cheshire Cat. (Someone sneaked into the kitchen and ate all the salt: an empty salt box was left behind.) All three appeared in court and made the following statements:

Caterpillar. Lizard Bill ate the salt.

Lizard Bill. It's the truth!

Cheshire Cat. I have never eaten salt.

During the trial, it was revealed that at least one of the accused was lying and at least one was telling the truth.

Who stole the salt?
8. The fifth story. If the Cheshire Cat ate the salt, then all three accused are lying, which contradicts the conditions of the problem. If the salt was eaten by Lizard Bill, then all three always tell the truth, which also contradicts the conditions of the problem. Therefore, the Caterpillar ate the salt (so the first two statements are false, and the third is true).