Consider the following premises. Jennifer is making tea if and only if it is cloudy. Mary is not a bartender. It is cloudy if and only if Mary is a bartender. Jennifer is making tea or Elisabeth is cooking. Can we infer the following from them? Elisabeth is not cooking.
 From the fact that it is cloudy if and only if Mary is a bartender, and that Mary is not a bartender we can infer that it is not cloudy. From the fact that Jennifer is making tea if and only if it is cloudy, and that it is not cloudy we can infer that Jennifer is not making tea. Finally, from the fact that Jennifer is making tea or Elisabeth is cooking, and that Jennifer is not making tea we can infer that Elisabeth is cooking, which contradicts that Elisabeth is not cooking. Therefore, the answer is no.