Sentence 1: It is also an area favored by backpackers lured by cheap hotels and restaurants and the chance of purchasing discounted air tickets.

Sentence 2: There are cheap hotels and restaurants in the area.
Is this second sentence entailed by the first?

Answer: yes

Sentence 1: Republicans have long demanded smaller government.

Sentence 2: Republicans have been demanding for a long time smaller government, but maybe this time they will succeed.
Is this second sentence entailed by the first?

Answer: it is not possible to tell

Sentence 1: In the distance, Jon saw a loose dismounted rider turn around the corner of a building only to have his face smashed in by the knobbed war club of the Kal.

Sentence 2: A dismounted rider had his face smashed in by the Kal.
Is this second sentence entailed by the first?

Answer:
yes