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.

Paragraph: Erin is white. If something is blue then it is smart. If something is white and young then it is smart. Erin is smart. If something is white and blue then it is green. If something is young then it is white. Blue things are white. If something is white then it is blue. Erin is blue. All rough things are white. If Erin is blue then Erin is rough.     Question: Erin is white.
True

Paragraph: The tiger likes the cat. The dog likes the tiger. If something is round and rough then it is not red. If the dog likes the cat and the cat likes the dog then the dog is green. The cat visits the dog. If the dog is not green then the dog visits the cat.     Question: The cat visits the dog.
True

Paragraph: The cat is cold. If someone is big and not cold then they are rough. The cat is big. If someone is young and not red then they are rough. The cat is red. The cat is not young. The cat is not rough. If someone is cold then they are red.     Question: The cat is cold.

True