Sentence 1: The northerner fell back, a spray of blood from his lips.

Sentence 2: Blood spewed from the northerner's eyes as he fell back.
Is this second sentence entailed by the first?

Answer: no

Sentence 1: Slate . If you don't know what cookies are, in the technical, computer sense, you almost surely can ignore this warning.

Sentence 2: If you don't know what computer cookies are, ignore this warning.
Is this second sentence entailed by the first?

Answer: yes

Sentence 1: Unfortunately, it seems to have failed its first test.

Sentence 2: It seems that it passed the first test.
Is this second sentence entailed by the first?

Answer:
no