QUESTION: Given the sentence "Two people are competing in a martial arts match." is it true that "Two men fight with staves in a dojo."?

Let's solve it slowly: Competing does not imply to fight and not all martial arts matches are in a dojo.
The answer is it is not possible to tell.

[QUESTION] Can we conclude from "Several people are in a hot air balloon posing for the camera with a river in the background." that "The people are taking photos for vacation memories."?
Options:
- yes
- no
- it is not possible to tell
Several people are in a hot air balloon posing for the camera with a river in the background does not imply that they are taking photos for vacation memories.
The answer is it is not possible to tell.

Q: Given the sentence "Guy riding a bicycle down a grassy trail." can we conclude that "Rob makes for that salad."?
Options:
- yes
- it is not possible to tell
- no
A: One cannot ride a bicycle and make salad at the same time.
The answer is no.

QUESTION: Premise: "A woman is talking to a little girl playing a game."
Hypothesis: "A woman and a child are outdoors."
Do we know that the hypothesis entailed by the premise?

Let's solve it slowly: A woman talking to a little girl means there is a woman and a child and since since playing a game so expected to be outdoors.
The answer is yes.

[QUESTION] Can we conclude from "An elderly woman is eating a burger while the man next to her touching his hat." that "The couple is happy to be together."?
Options:
- yes
- no
- it is not possible to tell
Here the couple here refers to an elderly woman is eating a burger while the man next to her touching his hat.
The answer is yes.

Q: Given the sentence "A man is walking a dog on a leash down the street." is it true that "The woman walked her cat."?
A:
Two contradictory remarks one of man and woman and second of walking a dog and walking her cat.
The answer is no.