Consider the following premises. Susan is running or Charles is not a soldier. Charles is a soldier if and only if Susan is running. If Susan goes running, then Charles is a soldier. Can we infer the following from them? If is not true that Susan is running if and only if Charles is a soldier.
 From the fact that Susan is running or Charles is not a soldier we can infer that if Charles were a soldier, then Susan is running. From the fact that Charles is a soldier if and only if Susan is running we can infer that if Charles were a soldier, then Susan is running. Finally, from the fact that if Susan goes running, then Charles is a soldier, and that if Charles were a soldier, then Susan is running we can infer that Susan is running if and only if Charles is a soldier, which contradicts that If is not true that Susan is running if and only if Charles is a soldier. Therefore, the answer is no.