Definition: 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: Sentence 1: If particles have enough kinetic energy to completely overcome the force of attraction between them, matter exists as a gas. Sentence 2: For an ideal gas there are no forces or potential energy between the particles, so we write the Hamiltonian as the kinetic energy of particles, each with mass .

neutral