Consider the following premises. If Mary plays squash, then James is a bartender. William is not an astronaut. Mary is playing squash if and only if it is snowing. If James were a bartender, then Karen is not a carpenter. William is an astronaut or Karen is a carpenter. Can we infer the following from them? It is snowing.
 From the fact that William is an astronaut or Karen is a carpenter, and that William is not an astronaut we can infer that Karen is a carpenter. From the fact that if James were a bartender, then Karen is not a carpenter, and that Karen is a carpenter we can infer that James is not a bartender. From the fact that if Mary plays squash, then James is a bartender, and that James is not a bartender we can infer that Mary is not playing squash. Finally, from the fact that Mary is playing squash if and only if it is snowing, and that Mary is not playing squash we can infer that it is not snowing, which contradicts that It is snowing. Therefore, the answer is no.