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: All scientific explanations and interpretations based on facts. Sentence 2: A scientific theory however, is a well-substantiated explanation of some aspect of the natural world based on a body of facts that have been repeatedly confirmed through observation and experiment.

Output: entails


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: Phytoplankton make food via photosynthesis. Sentence 2: The main difference between zooplankton and phytoplankton is that phytoplankton has the ability to manufacture its own food through photosynthesis or chemosynthesis.


Output: entails