[Q] Given the sentence "A bald man playing guitar with a band." is it true that "The man is playing a rock song with his guitar."?
[A] A man playing a rock song with his guitar isn't necessarily bald.
The answer is it is not possible to tell.

[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.

[Q] Given the sentence "These people are playing basketball outdoors." is it true that "The people like sports."?
[A] People who like to play basketball do not necessarily like all sports.
The answer is it is not possible to tell.