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.
One example is below.
Q: Paragraph: Anne is rough. Cold people are rough. If Anne is green then Anne is blue. Rough people are young. Anne is blue. If someone is rough and furry then they are blue. All young people are cold. If someone is rough and nice then they are green. Anne is young.     Fact: Anne is rough.
A: True
Rationale: From the given paragraph, we can infer that 'Anne is rough'
Q: Paragraph: If something visits the cat and it is rough then it chases the cat. The cat is cold. The dog needs the cat. The cat visits the dog. The dog is cold. The cat is green. The cat chases the dog. The cat is rough. If the dog visits the cat and the cat is green then the cat visits the dog. The cat is red. The cat is kind. The dog is green. The dog visits the cat. The dog is red. The dog is kind. The dog chases the cat. The dog is rough. The cat needs the dog.     Question: The dog is red.
A:
True