[Q] Premise: "A black dog looks up with his head on a blue carpeted step."
Hypothesis: "A dog looks up with his head on a carpeted step."
Do we know that the hypothesis entailed by the premise?
[A] A black dog looks up with his head includes a dog looks up with his head on a (blue carpeted) step.
The answer is yes.

[Q] Premise: "A man is splitting wood in front of an audience."
Hypothesis: "A man is joining all the woods to make it as a furniture."
Is the hypothesis entailed by the premise?
Options:
- yes
- it is not possible to tell
- no
[A] The man splitting wood is definitely not the person joining all the woods together.
The answer is no.

[Q] Premise: "A cow farm at the base of a mountain near a lake."
Hypothesis: "A cow farm located in the north west."
Do we know that the hypothesis entailed by the premise?

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
user
[A] A mountain near a lake does not mean it is in the north west.
The answer is it is not possible to tell.