Write a proof of the following argument: Every pet in the pet shop is a cat or a dog. Every cat in the pet shop plays with yarn. There is a cat in the pet shop that naps a lot. Therefore, there is a cat in the pet shop that play with yarn and naps a lot. Hint: Translate the English sentences into logic using the domain "pets in the pet shop" and apply rules of inference to prove why the conclusion follows from the premises.

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