Sentence 1: Actually the story was close enough to the truth.

Sentence 2: The story was close to the truth by accident.
Is this second sentence entailed by the first?

Answer: it is not possible to tell

Sentence 1: Something stirred in his mind then.

Sentence 2: His mind was stirred.
Is this second sentence entailed by the first?

Answer: yes

Sentence 1: These are handmade and will take about one week to complete.

Sentence 2: It only takes about a day to make these handcrafted items.
Is this second sentence entailed by the first?

Answer:
no