Consider the following premises. For all x_6, x_6 is a scientist or x_6 will cook. For all x_6, x_6 is a poet or x_6 is not a scientist. For all x_6, x_6 is a poet if and only if x_6 will cook. Can we infer the following from them? For all x_6, x_6 is a poet.
 From the fact that for all x_6, x_6 is a poet or x_6 is not a scientist we can infer that for all x_6, if x_6 were a scientist, then x_6 is a poet. From the fact that for all x_6, x_6 is a poet if and only if x_6 will cook we can infer that for all x_6, if x_6 cooks, then x_6 is a poet. Finally, from the fact that for all x_6, if x_6 were a scientist, then x_6 is a poet, that for all x_6, if x_6 cooks, then x_6 is a poet, and that for all x_6, x_6 is a scientist or x_6 will cook we can infer that for all x_6, x_6 is a poet. Therefore, the answer is yes.