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: The combustion of propane gas produces carbon dioxide and water vapor. Sentence 2: Perfect combustion of propane yields water, carbon dioxide &amp; heat.

Output: entails


Input: Consider Input: Sentence 1: When blood vessels in the head dilate, a migraine, a severe headache, can occur. Sentence 2: During the headache phase of a migraine attack, there is dilation of the blood vessels surrounding the cerebral nerve endings.

Output: entails


Input: Consider Input: Sentence 1: Populations living in one place form a community. Sentence 2: Approximately one half of the county's population (4,800 people) lives in the Town of Mammoth Lakes, the only incorporated community in the county.


Output: neutral