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: The speed of a wave through connected harmonic oscillators depends on the distance between them, the spring constant, and the mass. Sentence 2: Example A damped simple harmonic oscillator has a mass of 0.25kg attached to a spring with stiffness 85 N.m -1 and a small damping constant 0.07 kg.s -1 .

Output: neutral


Input: Consider Input: Sentence 1: The most common elements have the most tightly bound nuclei Sentence 2: Most elements have at least one reasonably abundant isotope whose nucleus is magnetic.

Output: neutral


Input: Consider Input: Sentence 1: Closest to the nucleus orbitals do electrons fill first. Sentence 2: The element hydrogen, the first element of the periodic table, is made up of a nucleus consisting of one proton and one neutron, and this nucleus has one electron orbiting around it.


Output: neutral