Consider the following premises. If it is sunny, then it is late. If Linda were a soldier, then it is late. Susan is excited if and only if Linda is a soldier. If it is late, then Linda is a soldier. Can we infer the following from them? The fact that it is sunny does not imply that Susan is excited.
 From the fact that if it is late, then Linda is a soldier, and that if Linda were a soldier, then it is late we can infer that it is late if and only if Linda is a soldier. From the fact that it is late if and only if Linda is a soldier we can infer that if it is late, then Linda is a soldier. From the fact that Susan is excited if and only if Linda is a soldier we can infer that if Linda were a soldier, then Susan is excited. From the fact that if it is late, then Linda is a soldier, and that if Linda were a soldier, then Susan is excited we can infer that if it is late, then Susan is excited. Finally, from the fact that if it is sunny, then it is late, and that if it is late, then Susan is excited we can infer that if it is sunny, then Susan is excited, which contradicts that The fact that it is sunny does not imply that Susan is excited. Therefore, the answer is no.