The Cat

The Cat might not exist

Might exist

Might exist but is invisible

Might only exist in Smith's mind

Might only exist in Jones' mind

All of the above is false

All of the above is true

The cat is in the box, and is not in the box, and is partially in the box as well

Claims are made that the cat was found at Sisko's

Claims have been made, long ago, that the cat is Nachash