Consider the following premises. For all x_5, if x_5 were bored, then x_5 is a poet. There is at least one x_5 for which if x_5 were excited, then x_5 is not a poet. For all x_5, if x_5 were a doctor, then x_5 is a poet. For all x_5, x_5 is bored. Can we infer the following from them? There is at least one x_5 for which x_5 is not excited.
 From the fact that for all x_5, x_5 is bored we can infer that for all x_5, x_5 is bored or x_5 is a doctor. From the fact that for all x_5, if x_5 were bored, then x_5 is a poet, that for all x_5, if x_5 were a doctor, then x_5 is a poet, and that for all x_5, x_5 is bored or x_5 is a doctor we can infer that for all x_5, x_5 is a poet. Finally, from the fact that there is at least one x_5 for which if x_5 were excited, then x_5 is not a poet, and that for all x_5, x_5 is a poet we can infer that there is at least one x_5 for which x_5 is not excited. Therefore, the answer is yes.