Consider the following premises. For all x_5, if x_5 listens to a song, then x_5 is a writer. For all x_5, x_5 will write a letter. For all x_5, x_5 will take a plane. For all x_5, if x_5 writes a letter, then x_5 is listening to a song. Can we infer the following from them? There is at least one x_5 for which either x_5 is a writer or x_5 will take a plane are not true.
 From the fact that for all x_5, if x_5 writes a letter, then x_5 is listening to a song, and that for all x_5, if x_5 listens to a song, then x_5 is a writer we can infer that for all x_5, if x_5 writes a letter, then x_5 is a writer. From the fact that for all x_5, if x_5 writes a letter, then x_5 is a writer, and that for all x_5, x_5 will write a letter we can infer that for all x_5, x_5 is a writer. Finally, from the fact that for all x_5, x_5 is a writer, and that for all x_5, x_5 will take a plane we can infer that for all x_5, x_5 is a writer and x_5 will take a plane, which contradicts that There is at least one x_5 for which either x_5 is a writer or x_5 will take a plane are not true. Therefore, the answer is no.