Sentence 1: Finding hidden gems down narrow lanes and dark alleys is one of the great rewards of exploring Kathmandu on foot.

Sentence 2: Finding hidden gems in dark alleys is one of the great rewards of exploring Kathmandu on foot.
Is this second sentence entailed by the first?

Answer: yes

Sentence 1: For demographic trends and the financial outlook for the Social Security and Medicare Hospital Insurance programs, we used the intermediate actuarial projections, which reflect the best estimate of the Social Security and Medicare Boards of Trustees.

Sentence 2: Intermediate actuarial projections helped us estimate with the best data.
Is this second sentence entailed by the first?

Answer: yes

Sentence 1: um-hum couldn't

Sentence 2: He couldn't do it.
Is this second sentence entailed by the first?

Answer:
it is not possible to tell