Sentence 1: well a little more modern day but not much

Sentence 2: It's way too antiquated.
Is this second sentence entailed by the first?

Answer: no

Sentence 1: The drive to find and eat food was integral to the survival of our early ancestors.

Sentence 2: Our ancestors wanted to find animals to kill.
Is this second sentence entailed by the first?

Answer: it is not possible to tell

Sentence 1: Won't you come out to play?

Sentence 2: They don't want to play.
Is this second sentence entailed by the first?

Answer:
no