Consider the following premises. For all x, x will not climb a mountain. Barbara is not making tea or it is cold. Barbara is making tea or David is climbing a mountain. If Jessica were a nurse, then it is not cold. Can we infer the following from them? Jessica is not a nurse.
 From the fact that for all x, x will not climb a mountain we can infer that David is not climbing a mountain. From the fact that Barbara is making tea or David is climbing a mountain, and that Barbara is not making tea or it is cold we can infer that David is climbing a mountain or it is cold. From the fact that David is climbing a mountain or it is cold, and that David is not climbing a mountain we can infer that it is cold. Finally, from the fact that if Jessica were a nurse, then it is not cold, and that it is cold we can infer that Jessica is not a nurse. Therefore, the answer is yes.