QUESTION: Given the sentence "Two young men play a board game." is it true that "Cat chases mice."?

Let's solve it slowly: This information is a non-sequitur. Men playing a game and cats chasing mice have no relation upon each other.
The answer is no.

[QUESTION] Premise: "A man is wearing a green shirt and a welders mask."
Based on this premise, can we conclude that the hypothesis "This man is dressed to do some welding." is true?
Options:
- yes
- it is not possible to tell
- no
A welders mask is used while doing some welding and the fact that the man is wearing a green shirt implies he is dressed.
The answer is yes.

Q: If "A person taking pictures outside in the snow." does that mean that "Dad takes picture of snowman his son made."?
Options:
- yes
- it is not possible to tell
- no
A: Taking picture sin the snow does not imply a snowman being present.
The answer is it is not possible to tell.

QUESTION: Test for natural language inference.
Premise: "Two men climbing up a mountain."
Hypothesis: "The men have gear with them."
Is the hypothesis entailed by the premise?
Options:
- yes
- no
- it is not possible to tell

Let's solve it slowly: Climbing up a mountain does not necessarily mean one is smart enough to have gear with them.
The answer is it is not possible to tell.

[QUESTION] Premise: "A man is standing on an icy street with a building beside him."
Hypothesis: "A man standing next to his wife in the living room."
Is the hypothesis entailed by the premise?
Options:
- yes
- it is not possible to tell
- no
One cannot be on an icy street and a living room at the same time.
The answer is no.

Q: Premise: "A man named drew in a black t-shirt is making something with blown up balloons at a park."
Hypothesis: "The man was at a ski trip."
Do we know that the hypothesis entailed by the premise?
A:
You wouldn't be at a park with balloons while going on a ski trip.
The answer is no.