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 Input:
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.

Ex Output:
True


Ex Input:
Paragraph: The rabbit visits the cat. If the bear visits the cat then the cat is red. The cat is cold. If someone sees the cat and they see the rabbit then the rabbit visits the bear. The cat sees the bear. If someone visits the rabbit and they see the rabbit then the rabbit sees the bear. The rabbit sees the cat. The bear chases the cat. The cat chases the bear. The rabbit is red. The bear is young. The rabbit is nice. The bear chases the rabbit. The bear visits the rabbit. If someone visits the rabbit then they are red. The cat is blue. If someone chases the rabbit then the rabbit is young. The bear is red. If someone visits the bear and they visit the rabbit then the bear sees the cat. The rabbit sees the bear. If someone chases the rabbit and they are blue then they are young. The rabbit chases the cat. The cat is red. If someone visits the bear and the bear is cold then they see the rabbit.     Question: The cat is not blue.

Ex Output:
False


Ex Input:
Paragraph: If something is red and it chases the bald eagle then it eats the cat. If something sees the cat and it sees the bald eagle then the cat eats the bald eagle. The bald eagle is red. The bald eagle sees the cat. The cat eats the bald eagle. The cat sees the bald eagle. The cat chases the bald eagle. The bald eagle is cold. The cat is young. The bald eagle eats the cat. The bald eagle chases the cat. The cat is red. The cat is big. If something is cold and it chases the cat then the cat is big. If something eats the bald eagle and the bald eagle chases the cat then the bald eagle is big. The bald eagle is green. The bald eagle is big. If something sees the bald eagle then the bald eagle eats the cat. The cat is green. The bald eagle is young. If the bald eagle sees the cat and the cat is young then the bald eagle eats the cat. The cat is cold.     Question: The cat is cold.

Ex Output:

True