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: Although they differ vastly in hardness, pencil lead and diamonds both contain carbon. Sentence 2: The other, more common forms of carbon are graphite (your pencil point) and diamond.

Output: entails


Input: Consider Input: Sentence 1: Rain is an example of liquid water. Sentence 2: The humidity becomes rain when the water changes phase back into liquid.

Output: entails


Input: Consider Input: Sentence 1: Since europeans settled in the united states, about 33 percent percentage of topsoil has eroded away. Sentence 2: Since then, persons in the United States have significantly decreased their dietary intakes of total fat from approximately 40 percent of total calorie intake in 1977-1978 to 33 percent in 1994-1996, approaching the recommended 30 percent;


Output: neutral