Consider the following premises. For all x_13, if x_13 writes a letter, then x_13 is taking a plane. For all x_13, x_13 will not write a letter. For all x_13, x_13 will take a plane or x_13 is a server. For all x_13, x_13 will write a letter if and only if x_13 will take a plane. Can we infer the following from them? For all x_13, x_13 is a server or x_13 is bored.
 From the fact that for all x_13, x_13 will write a letter if and only if x_13 will take a plane we can infer that for all x_13, if x_13 takes a plane, then x_13 is writing a letter. From the fact that for all x_13, if x_13 writes a letter, then x_13 is taking a plane, and that for all x_13, if x_13 takes a plane, then x_13 is writing a letter we can infer that for all x_13, x_13 will write a letter if and only if x_13 will take a plane. From the fact that for all x_13, x_13 will write a letter if and only if x_13 will take a plane, and that for all x_13, x_13 will not write a letter we can infer that for all x_13, x_13 will not take a plane. From the fact that for all x_13, x_13 will take a plane or x_13 is a server, and that for all x_13, x_13 will not take a plane we can infer that for all x_13, x_13 is a server. Finally, from the fact that for all x_13, x_13 is a server we can infer that for all x_13, x_13 is a server or x_13 is bored. Therefore, the answer is yes.