Sentence 1: He held his cap in his hands, twisting it very carefully round and round.

Sentence 2: Twisting his cap in his hands was important for him.
Is this second sentence entailed by the first?

Answer: it is not possible to tell

Sentence 1: uh-huh yeah then you just can't get better

Sentence 2: You simply cannot get better.
Is this second sentence entailed by the first?

Answer: yes

Sentence 1: In an effort to foster more consistent levels of statewide service and to eliminate service gaps that leave clients in geographically remote areas underrepresented compared to their urban counterparts, LSC has asked each of its grantees to undergo a fundamental paradigm shift in their program vision.

Sentence 2: Statewide service is fairly applied across all geographic areas.
Is this second sentence entailed by the first?

Answer:
no