Consider the following premises. For all x_10, x_10 will not listen to a song or x_10 is bored. For all x_10, if x_10 were a poet, then x_10 is writing a letter. For all x_10, x_10 will not write a letter. For all x_10, x_10 will listen to a song or x_10 is a poet. There is at least one x_10 for which x_10 is a soldier. Can we infer the following from them? For all x_10, either x_10 is a soldier or x_10 is bored are not true.
 From the fact that for all x_10, x_10 will listen to a song or x_10 is a poet, and that for all x_10, x_10 will not listen to a song or x_10 is bored we can infer that for all x_10, x_10 is a poet or x_10 is bored. From the fact that for all x_10, if x_10 were a poet, then x_10 is writing a letter, and that for all x_10, x_10 will not write a letter we can infer that for all x_10, x_10 is not a poet. From the fact that for all x_10, x_10 is a poet or x_10 is bored, and that for all x_10, x_10 is not a poet we can infer that for all x_10, x_10 is bored. Finally, from the fact that there is at least one x_10 for which x_10 is a soldier, and that for all x_10, x_10 is bored we can infer that there is at least one x_10 for which x_10 is a soldier and x_10 is bored, which contradicts that For all x_10, either x_10 is a soldier or x_10 is bored are not true. Therefore, the answer is no.