Consider the following premises. For all x_6, x_6 will cook if and only if x_6 will listen to a song. There is at least one x_6 for which x_6 is a poet or x_6 will cook. For all x_6, x_6 is not a poet or x_6 is an office clerk. For all x_6, x_6 will not listen to a song. Can we infer the following from them? For all x_6, x_6 is not an office clerk.
 From the fact that there is at least one x_6 for which x_6 is a poet or x_6 will cook, and that for all x_6, x_6 is not a poet or x_6 is an office clerk we can infer that there is at least one x_6 for which x_6 will cook or x_6 is an office clerk. From the fact that for all x_6, x_6 will cook if and only if x_6 will listen to a song, and that for all x_6, x_6 will not listen to a song we can infer that for all x_6, x_6 will not cook. Finally, from the fact that there is at least one x_6 for which x_6 will cook or x_6 is an office clerk, and that for all x_6, x_6 will not cook we can infer that there is at least one x_6 for which x_6 is an office clerk, which contradicts that For all x_6, x_6 is not an office clerk. Therefore, the answer is no.