[Q] Given the sentence "A black and white dog is climbing stairs in the snow." is it true that "A dog in the snow."?
[A] If a dog is climbing stairs in the snow then the dog is in the snow.
The answer is yes.

[Q] Given the sentence "A man in a brown shirt is pouring something granular in to a pool." is it true that "A older man is pouring something in to a pool."?
[A] We do not know the age of the man to say that he is older.
The answer is it is not possible to tell.

[Q] Given the sentence "A man and woman are crossing the street wearing formal clothing." is it true that "The man and woman are on a date."?
[A] Two people wearing formal clothing does not imply that they are on a date.
The answer is it is not possible to tell.