instruction:
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.
question:
Sentence 1: The speed of a wave through connected harmonic oscillators depends on the distance between them, the spring constant, and the mass. Sentence 2: Example A damped simple harmonic oscillator has a mass of 0.25kg attached to a spring with stiffness 85 N.m -1 and a small damping constant 0.07 kg.s -1 .
answer:
neutral


question:
Sentence 1: Negative growth rate results when birth rates fall even lower than death rates. Sentence 2: The growth rate is birth rate minus death rate.
answer:
neutral


question:
Sentence 1: A(n) beneficial relationship exists when a certain type of tree’s roots need a fungus present in order to grow normally. Sentence 2: The roots of many trees create a symbiotic (mutually beneficial) relationship with an orange-colored sponge-like fungus called mycorrhiza.
answer:

entails