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.

Ex Input:
Sentence 1: Particle accelerators can nuclear fusion in stars be simulated. Sentence 2: A star shines by nuclear fusion between particles at the center of the star.

Ex Output:
neutral


Ex Input:
Sentence 1: Seismologists originally measured the intensity of an earthquake with the mercalli scale. Sentence 2: 1 The Mercalli method of measuring earthquake intensity in terms of damage incurred originated in 1902 and continued to about 1935, when the Richter method of recording earthquake magnitude in terms of energy released replaced the Mercalli scale.

Ex Output:
entails


Ex Input:
Sentence 1: A sealed, vacuum-insulated reaction flask approximates the condition of a isolated system, in which neither matter nor heat can be exchanged between system and surroundings. Sentence 2: If a gas is driven out of the flask during the reaction, the system does work on its surroundings.

Ex Output:

neutral