Consider the following premises. Elisabeth is running if and only if it is overcast. Jessica is not a musician. Jessica is a musician or it is overcast. Can we infer the following from them? Elisabeth is not running.
 From the fact that Jessica is a musician or it is overcast, and that Jessica is not a musician we can infer that it is overcast. From the fact that Elisabeth is running if and only if it is overcast we can infer that if it is overcast, then Elisabeth is running. Finally, from the fact that if it is overcast, then Elisabeth is running, and that it is overcast we can infer that Elisabeth is running, which contradicts that Elisabeth is not running. Therefore, the answer is no.