Consider the following premises. For all x, if x were a carpenter, then x is a police officer. For all x, x will play a game or x is not a police officer. For all x, if x plays a game, then x is a carpenter. Can we infer the following from them? If we can, name the inference rule being used: The fact that Susan were a carpenter does not imply that Susan is a police officer.
That contradicts the premises. Therefore the answer is no.