Consider the following premises. For all x, if x reads a book, then x is a lawyer. There is at least one x for which x will play squash or x is not a lawyer. For all x, if x plays squash, then x is a bartender. Can we infer the following from them? If we can, name the inference rule being used: For all x, the fact that x reads a book does not imply that x is a bartender.
That contradicts the premises. Therefore the answer is no.