Consider the following premises. For all x_1, if x_1 were a soldier, then x_1 is reading a book. For all x_1, if x_1 reads a book, then x_1 is a soldier. Susan is a soldier if and only if it is overcast. For all x_1, x_1 will not read a book. Can we infer the following from them? It is overcast.
 From the fact that for all x_1, if x_1 were a soldier, then x_1 is reading a book, and that for all x_1, if x_1 reads a book, then x_1 is a soldier we can infer that for all x_1, x_1 is a soldier if and only if x_1 will read a book. From the fact that for all x_1, x_1 is a soldier if and only if x_1 will read a book, and that for all x_1, x_1 will not read a book we can infer that for all x_1, x_1 is not a soldier. From the fact that for all x_1, x_1 is not a soldier we can infer that Susan is not a soldier. Finally, from the fact that Susan is a soldier if and only if it is overcast, and that Susan is not a soldier we can infer that it is not overcast, which contradicts that It is overcast. Therefore, the answer is no.