Sentence 1: Climb out and we'll get started!

Sentence 2: They will get started after he jumps off.
Is this second sentence entailed by the first?

Answer: no

Sentence 1: In some States, an interim air-operating permit may need to be obtained until the Title V permit is modified.

Sentence 2: An interim air-operating permit may need to be obtained until changes occurs, in every State.
Is this second sentence entailed by the first?

Answer: no

Sentence 1: Four hundred of Cumberland's troops died in an epidemic of yellow fever and dysentery, and the British had to withdraw less than three months after their victory.

Sentence 2: Yellow fever and dysentery killed four hundred of Cumberland's troops.
Is this second sentence entailed by the first?

Answer:
yes