Ripred's Puzzle

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This is the logic puzzle Ripred asks Lizzie.

-From Gregor and the Code of Claw-

"Now, Lizzie, from where you're sitting, you can see seven creatures. Two humans, one of whom is an Overlander and one of whom is an Underlander, one bat, one mouse, one cockroach, one spider, and one rat.
We've just had lunch and we've each eaten our favorite food. No two of us have the same favorite food. The things eaten were fish, cheese, cake, cookies, bread, mushrooms, and shrimp in cream sauce.

The bat's favorite food is either mushrooms or cake. Cookies are not the cockroach's favorite food. The mouse will eat cheese, but she didn't today. The Underlander's favorite food is either cookies or shrimp in cream sauce. The mushrooms and cookies were not eaten by mammals. The Overlander's favorite food is either cake or bread.

So the question is, who ate the cheese?"

Requested by Luna_Morningstar

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