Consider the following premises. Sarah is not reading a book. If Barbara were an artist, then Sarah is reading a book. Barbara is an artist or it is late. If Sarah reads a book, then Barbara is an artist. Can we infer the following from them? David is playing a game or it is late.
 From the fact that if Barbara were an artist, then Sarah is reading a book, and that if Sarah reads a book, then Barbara is an artist we can infer that Barbara is an artist if and only if Sarah is reading a book. From the fact that Barbara is an artist if and only if Sarah is reading a book, and that Sarah is not reading a book we can infer that Barbara is not an artist. From the fact that Barbara is not an artist we can infer that Barbara is not an artist or David is playing a game. Finally, from the fact that Barbara is not an artist or David is playing a game, and that Barbara is an artist or it is late we can infer that David is playing a game or it is late. Therefore, the answer is yes.