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: Although they differ vastly in hardness, pencil lead and diamonds both contain carbon. Sentence 2: The other, more common forms of carbon are graphite (your pencil point) and diamond.

Output: entails


Input: Consider Input: Sentence 1: Producing light without a high temperature is called luminescence. Sentence 2: In luminescence, only a small fraction of atoms, called emission centers or luminescence centers, emit light.

Output: neutral


Input: Consider Input: Sentence 1: Craters and rifts become lakes when they fill with water. Sentence 2: The crater actually filled up with water to become a crater lake for almost 2 million years.


Output: entails