QUESTION: Given the sentence "A woman riding a horse is chasing a cow." is it true that "A cow being chased by a woman on a horse."?

Let's solve it slowly: Being chased and chasing is saying the same thing in a different way.
The answer is yes.

QUESTION: Given the sentence "People are judging sheep at a state fair." is it true that "Wild animal are chasing the deer."?

Let's solve it slowly: People judging sheep and wild animal chasing the deer are two different contexts.
The answer is no.

QUESTION: Premise: "A woman with a red jacket skying over a mountain."
Hypothesis: "The woman has a jacket on."
Is the hypothesis entailed by the premise?
Options:
- yes
- it is not possible to tell
- no

Let's solve it slowly:
With a jacket is another way to say has a jacket on.
The answer is yes.