Consider the following premises. For all x_8, if x_8 were a poet, then x_8 is sleeping. For all x_8, if x_8 sleeps, then x_8 is a poet. For all x_8, if x_8 were a poet, then x_8 is sleeping. Michael is not sleeping. Can we infer the following from them? Michael is not a poet.
 From the fact that for all x_8, if x_8 were a poet, then x_8 is sleeping, and that for all x_8, if x_8 sleeps, then x_8 is a poet we can infer that for all x_8, x_8 is a poet if and only if x_8 will sleep. From the fact that for all x_8, x_8 is a poet if and only if x_8 will sleep we can infer that for all x_8, if x_8 sleeps, then x_8 is a poet. From the fact that for all x_8, if x_8 were a poet, then x_8 is sleeping, and that for all x_8, if x_8 sleeps, then x_8 is a poet we can infer that for all x_8, x_8 is a poet if and only if x_8 will sleep. From the fact that for all x_8, x_8 is a poet if and only if x_8 will sleep we can infer that Michael is a poet if and only if Michael is sleeping. Finally, from the fact that Michael is a poet if and only if Michael is sleeping, and that Michael is not sleeping we can infer that Michael is not a poet. Therefore, the answer is yes.