Consider the following premises. There is at least one x_1 for which if x_1 plays a game, then x_1 is bored. For all x_1, if x_1 reads a book, then x_1 is a cashier. For all x_1, if x_1 were bored, then x_1 is reading a book. Can we infer the following from them? If we can, name the inference rule being used: For all x_1, the fact that x_1 plays a game does not imply that x_1 is a cashier.
That contradicts the premises. Therefore the answer is no.