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Stop generation immediately after outputing the Final Answer.

Ensure that your response strictly follows the format to maintain clarity and consistency. 
Question: Here are some premises:
All of Peter's pets that are mammals are also animals.
All monkeys are mammals. 
Peter's pets are all either monkeys or birds. 
Peter's birds can fly.
All animals that are Peter's pets can breathe.
If Peter's pet can fly, then it has wings.
Rock is Peter's pet.
Rock can fly, or Rock is a bird, or Rock cannot breathe. 
Here is a conclusion:
Rock does not have wings.
Based on the premises, is the conclusion True, False, or Uncertain?
Answer: False