In this task, you are given two statements. The task is to output whether a given textual premise, i.e. Statement 2, entails or implies a given scientific fact, i.e. Statement 1. The output should be 'entails' if Statement 2 supports Statement 1 and should be 'neutral' otherwise.

Ex Input:
Sentence 1: Balloon deflates will happen if the gas particles inside an inflated balloon suddenly stop moving. Sentence 2: A second tube with a deflated balloon on its tip is passed inside the first, and the balloon is inflated where the artery is blocked.

Ex Output:
neutral


Ex Input:
Sentence 1: Negative growth rate results when birth rates fall even lower than death rates. Sentence 2: The growth rate is birth rate minus death rate.

Ex Output:
neutral


Ex Input:
Sentence 1: Experiments have shown that acceleration is exactly inversely proportional to mass, just as it is exactly linearly proportional to the net external force. Sentence 2: The acceleration of an object is directly proportional to the net external force acting on the object and inversely proportional to the mass of the object.

Ex Output:

entails