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.

Input: Consider Input: Sentence 1: Matter that mechanical wave energy can only travel through is medium. Sentence 2: Mechanical waves need a medium through which to transport energy.

Output: entails


Input: Consider Input: Sentence 1: Liquid has a definite volume, but not a definite shape. Sentence 2: Liquid has a definite volume but no definite shape.

Output: entails


Input: Consider Input: Sentence 1: From viral infections did the first proto-oncogenes arise. Sentence 2: This is the first live defense against viral infections and colds.


Output: neutral