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: Uranus is so faint because it is far away. Sentence 2: It seemed so faint and far away.

Output: neutral


Input: Consider Input: Sentence 1: Since the electric field lines point radially away from the charge, they are perpendicular to equipotential lines. Sentence 2: Electric Potential and Field Magnitude w/EquipPotential Lines & Field Arrows Below left: Note that field arrows are always perpendicular to the equipotential lines in their vicinity.

Output: entails


Input: Consider Input: Sentence 1: The sun is the center of our solar system. Sentence 2: In the heliocentric system , the Sun is considered to be the center of the solar system.

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
user
Output: entails


