Consider the following premises. For all x_10, x_10 is an office clerk or x_10 is not a police officer. For all x_10, if x_10 were a soldier, then x_10 is a police officer. There is at least one x_10 for which if x_10 were an office clerk, then x_10 is listening to a song. For all x_10, if x_10 listens to a song, then x_10 is a soldier. Can we infer the following from them? For all x_10, if is not true that x_10 is an office clerk if and only if x_10 is a police officer.
 From the fact that there is at least one x_10 for which if x_10 were an office clerk, then x_10 is listening to a song, and that for all x_10, if x_10 listens to a song, then x_10 is a soldier we can infer that there is at least one x_10 for which if x_10 were an office clerk, then x_10 is a soldier. From the fact that for all x_10, x_10 is an office clerk or x_10 is not a police officer we can infer that for all x_10, if x_10 were a police officer, then x_10 is an office clerk. From the fact that there is at least one x_10 for which if x_10 were an office clerk, then x_10 is a soldier, and that for all x_10, if x_10 were a soldier, then x_10 is a police officer we can infer that there is at least one x_10 for which if x_10 were an office clerk, then x_10 is a police officer. Finally, from the fact that there is at least one x_10 for which if x_10 were an office clerk, then x_10 is a police officer, and that for all x_10, if x_10 were a police officer, then x_10 is an office clerk we can infer that there is at least one x_10 for which x_10 is an office clerk if and only if x_10 is a police officer, which contradicts that For all x_10, if is not true that x_10 is an office clerk if and only if x_10 is a police officer. Therefore, the answer is no.