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.

Input: Consider Input: Paragraph: If something likes the rabbit then it is cold. The mouse does not eat the rabbit. The rabbit is not red. If something sees the rabbit and the rabbit is cold then the rabbit does not see the mouse.     Question: The mouse does not eat the rabbit.

Output: True


Input: Consider Input: Paragraph: The mouse is not round. The squirrel needs the lion. The mouse is cold. If something is kind then it chases the cat. The squirrel likes the mouse. The lion chases the mouse. The lion chases the squirrel. The mouse needs the cat. The mouse does not like the lion. The squirrel needs the mouse. The cat does not like the squirrel. If something chases the cat and it needs the mouse then the cat likes the squirrel. If something is not young then it needs the squirrel. If something chases the cat then the cat does not chase the mouse. If something needs the lion then the lion needs the cat. The lion needs the cat. The mouse needs the squirrel. If something likes the cat then the cat is young. The cat needs the squirrel. The cat needs the mouse. The lion does not like the mouse.     Question: The squirrel does not like the mouse.

Output: False


Input: Consider Input: Paragraph: Anne is kind. Erin is kind. Anne is young. Erin is cold. Anne is smart. All red, smart people are cold. Erin is quiet. Red people are smart. If someone is cold then they are quiet. Erin is smart.     Question: Erin is smart.


Output: True