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: They would experience a decrease in available food would the woodpecker population in a forest area most likely be affected if a housing development is built in that area. Sentence 2: It would not be likely to affect other residents of the area.

Output: neutral


Input: Consider Input: Sentence 1: Neutron stars are the corpses of left over supernova explosions. Sentence 2: Massive stars die in spectacular supernova explosions, leaving behind ultradense neutron stars, which pack the mass of the sun into a ball just 12 miles across.

Output: entails


Input: Consider Input: Sentence 1: The tilt allows certain latitudes of earth to be heated at a greater rate while earth rotates does the tilt of earth’s axis and its rotation affect the weather. Sentence 2: The distance of the Earth from the sun, the tilt of the earth's axis, the speed of the earth's rotation, the time it takes Earth to orbit the sun.


Output: neutral