Consider the following premises. If John plays a game, then William is playing squash. If William were a police officer, then it is snowing. If it snows, then John is playing a game. For all z_2, if z_2 plays squash, then z_2 is a police officer. Can we infer the following from them? The fact that William plays squash does not imply that William is a police officer.
That contradicts the premises. Therefore the answer is no.