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