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: In harmonic motion there is always restorative force force, which acts in the opposite direction of the velocity. Sentence 2: (2)&#9;The magnetic force always acts perpendicular to the velocity vector.

Output: neutral


Input: Consider Input: Sentence 1: Neutron stars are the corpses of left over supernova explosions. Sentence 2: Supernova/Neutron Star 4.

Output: neutral


Input: Consider Input: Sentence 1: Momentum is directly related to both mass and velocity. Sentence 2: Momentum is a vector quantity, meaning that it has both amount and direction, and it is the product of the mass times linear velocity of a moving object.


Output: entails