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: Increase with age do parathyroid hormones react as a body ages. Sentence 2: Increased PTH (parathyroid hormone)

Output: neutral


Input: Consider Input: Sentence 1: Electrons exist only where the wave is stable. Sentence 2: Matter waves that cannot be canceled are not only colors but are the stable wavelengths of protons, electrons and their associated antiparticles.

Output: neutral


Input: Consider Input: Sentence 1: Efficiency equals the output power divided by the input power. Sentence 2: Efficiency Output power divided by Input Power.


Output: entails