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 earth's magnetic poles have switched places repeatedly in the past. Sentence 2: In addition, just like the Earth, it has a North and South magnetic Pole, however, every 11 years, these poles switch their locations relative to the poles defined by the Sun's spin axis.

Output: entails


Input: Consider Input: Sentence 1: In celsius, the boiling point of water is one hundred degrees. Sentence 2: In the Celsius scale 0 is chosen as the freezing point of water and there are 100 degrees between the freezing and boiling points of water.

Output: entails


Input: Consider Input: Sentence 1: There are six types of leptons. Sentence 2: There are six types of leptons and quarks.


Output: entails