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: Evenly spaced lines kind of lines does a diffraction grating produce. Sentence 2: In general the grating equation for constructive maxima is where m is called the order of the spectrum, l is the wavelength, d is the spacing between grating lines, and J is the diffraction angle measured with respect to the direction of the light incident on the grating.

Output: neutral


Input: Consider Input: Sentence 1: All matter in the universe is composed of one or more unique pure substances called elements. Sentence 2: All matter is composed of basic elements that cannot be broken down to substances with different chemical or physical properties.

Output: entails


Input: Consider Input: Sentence 1: Only about one percent of plants have lost photosynthesis ability, turning them into consumers and even predators, instead of producers. Sentence 2: Out of the oxygen produced in photosynthesis, some amount is consumed by the plants in respiration.


Output: neutral