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.

[EX Q]: Paragraph: If something is rough then it is big. Gary is kind. Erin is rough. Erin is red. Gary is green. Gary is blue. Erin is blue. If Gary is rough then Gary is green. All kind things are blue. All quiet things are big. Bob is blue. Bob is rough. If something is green and blue then it is quiet. Bob is green. Red, quiet things are blue. Bob is big. Question: Gary is blue.
[EX A]: True

[EX Q]: Paragraph: The bald eagle needs the dog. The dog is not blue. If someone is green then they do not need the bald eagle. If someone is red and they need the dog then they are not big. If someone needs the dog then they are green. Question: The dog is not blue.
[EX A]: True

[EX 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.
[EX A]:
False