Which cat are we looking for?

Find the liar, then use the true statements to cross out who it can't be.

• ClementineNo collarOut at nightIgnores boxesOpens doorsNot into fishFriendly
• ColaNo collarOut by day tooLoves boxesOpens doorsLoves fishShy
• BeansHas a collarOut by day tooIgnores boxesOpens doorsLoves fishShy
• MochiHas a collarOut at nightIgnores boxesOpens doorsLoves fishFriendly
• FuzzNo collarOut by day tooLoves boxesCan't open doorsLoves fishFriendly
• BobaHas a collarOut at nightLoves boxesOpens doorsLoves fishFriendly
• MarshmallowNo collarOut at nightLoves boxesCan't open doorsNot into fishShy
• SesameHas a collarOut by day tooLoves boxesCan't open doorsLoves fishFriendly
• DumplingHas a collarOut by day tooIgnores boxesOpens doorsNot into fishFriendly
• PebbleHas a collarOut by day tooIgnores boxesOpens doorsNot into fishShy

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