Consider the following premises. For all x_7, x_7 will listen to a song if and only if x_7 is a nurse. James is not listening to a song. James is a nurse if and only if it is overcast. Can we infer the following from them? It is overcast.
 From the fact that for all x_7, x_7 will listen to a song if and only if x_7 is a nurse we can infer that James is listening to a song if and only if James is a nurse. From the fact that James is listening to a song if and only if James is a nurse, and that James is not listening to a song we can infer that James is not a nurse. Finally, from the fact that James is a nurse if and only if it is overcast, and that James is not a nurse we can infer that it is not overcast, which contradicts that It is overcast. Therefore, the answer is no.