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: Because the fields that make up an electromagnetic wave are at right angles to each other and to the direction that the wave travels, an electromagnetic wave is considered a(n) transverse wave. Sentence 2: Electromagnetic waves

Output: neutral


Input: Consider Input: Sentence 1: Valence is the term for the number of covalent bonds an atom can form. Sentence 2: The total number of bonds formed by an atom is called the valence of the atom.

Output: entails


Input: Consider Input: Sentence 1: The scientific revolution took place europe starting in the 1500s. Sentence 2: It would not be controversial to say that the scientific revolution that took place in 17 th Europe could not have occurred without the help of the Muslims.


Output: neutral