Consider the following premises. It is late. David is a cashier. If James plays a game, then it is not late. If John were a politician, then David is not a cashier. Can we infer the following from them? James is playing a game.
 From the fact that if John were a politician, then David is not a cashier, and that David is a cashier we can infer that John is not a politician. Finally, from the fact that if James plays a game, then it is not late, and that it is late we can infer that James is not playing a game, which contradicts that James is playing a game. Therefore, the answer is no.