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: Deeper layers of rock must be older than layers closer to the surface, this is the law of superposition. Sentence 2: According the law of superposition, we assume that the rock unit located on the bottom is older than the top layer.

Output: entails


Input: Consider Input: Sentence 1: Symbiotic relationships is the term for  interactions between individuals of different species over an extended period of time which impact the abundance and distribution of the associating populations. Sentence 2: An important feature of the relationships between individuals of different species is that often, relationships which are predatory on the individual level may be symbiotic on the species level.


Output: neutral