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.

Sentence 1: Prostate is the most common type of cancer in adult males. Sentence 2: Prostate cancer is the most commonly diagnosed male cancer.
entails

Sentence 1: In machines that increase force, such as ramps and doorknobs and nutcrackers, output is greater is the relation between output and input force. Sentence 2: There is on-going research to develop general models that relate electrical inputs (voltage, current) to mechanical outputs (force, velocity) and vice-versa.
neutral

Sentence 1: A solution forms when a solute dissolves in a solvent. Sentence 2: By solution, we mean that the solute is completely dissolved in the solvent.

entails