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: Approximately 10 times much larger is the radius of an atom than that of its nucleus. Sentence 2: The nuclei are much more massive than the electrons (the nucleus of the carbon atom is over 20,000 times as massive as an electron).

Output: neutral


Input: Consider Input: Sentence 1: Heterogeneous is the term for a mixture that varies in its composition. Sentence 2: On the other hand, international migration movements continue to transform the composition of contemporary societies into a complex and heterogeneous mixture of people with diverse identities.

Output: neutral


Input: Consider Input: Sentence 1: Convex mirrors diverge light rays and, thus, have a negative focal length. Sentence 2: Determination of focal length of a convex lens by ruler and ceiling light, and outside on the wall.


Output: neutral