Consider the following premises. It is overcast if and only if Jessica is a nurse. For all x_13, x_13 is not a scientist. For all x_13, x_13 is a scientist if and only if x_13 is a doctor. Karen is a doctor if and only if it is overcast. Can we infer the following from them? Jessica is a nurse.
 From the fact that for all x_13, x_13 is a scientist if and only if x_13 is a doctor, and that for all x_13, x_13 is not a scientist we can infer that for all x_13, x_13 is not a doctor. From the fact that for all x_13, x_13 is not a doctor we can infer that Karen is not a doctor. From the fact that Karen is a doctor if and only if it is overcast, and that Karen is not a doctor we can infer that it is not overcast. Finally, from the fact that it is overcast if and only if Jessica is a nurse, and that it is not overcast we can infer that Jessica is not a nurse, which contradicts that Jessica is a nurse. Therefore, the answer is no.