Given a text paragraph and a fact, generate 'True' if the fact can be inferred/concluded from the paragraph, otherwise generate 'False'. The input passage contains as set of logical statements so the fact can be marked either 'True' or 'False' if the relavant info regarding the fact is present in the given passage. If the Fact can't be marked True or False from the given paragraph, mark it as False. Don't use knowledge outside the given paragraph to check the fact.

Q: Paragraph: The cat is round. All round people are cold. The cat is cold. Blue, rough people are cold. Cold, blue people are young. Rough, cold people are blue. If someone is blue and young then they are cold. The cat is young. Round people are rough. The cat is rough. The cat is blue.     Question: The cat is not cold.

A: False
****
Q: Paragraph: If something is cold then it is not nice. All big things are cold. The bear is young. If the bear is young and the bear is not cold then the bear is rough. The bear is cold. The bear is rough. All big things are cold. All big things are not young. If something is not young and not big then it is cold.     Question: The bear is rough.

A: True
****
Q: Paragraph: If something is not round then it is nice. The dog is young. If something is round and not young then it is not rough. If something is rough and not young then it is red. If something is rough and nice then it is not round. The dog is not nice. All round things are rough. The dog is rough. The dog is red. The dog is round. If something is young and not rough then it is red.     Question: The dog is rough.

A:
True
****