Consider the following premises. For all x_10, if x_10 were a politician, then x_10 is listening to a song. For all x_10, if x_10 were a sailor, then x_10 is a politician. There is at least one x_10 for which x_10 will not listen to a song. For all x_10, if x_10 were a politician, then x_10 is a sailor. For all x_10, if x_10 listens to a song, then x_10 is a politician. Can we infer the following from them? For all x_10, x_10 is a sailor.
 From the fact that for all x_10, if x_10 listens to a song, then x_10 is a politician, and that for all x_10, if x_10 were a politician, then x_10 is listening to a song we can infer that for all x_10, x_10 will listen to a song if and only if x_10 is a politician. From the fact that for all x_10, if x_10 were a sailor, then x_10 is a politician, and that for all x_10, if x_10 were a politician, then x_10 is a sailor we can infer that for all x_10, x_10 is a sailor if and only if x_10 is a politician. From the fact that for all x_10, x_10 will listen to a song if and only if x_10 is a politician, and that there is at least one x_10 for which x_10 will not listen to a song we can infer that there is at least one x_10 for which x_10 is not a politician. Finally, from the fact that for all x_10, x_10 is a sailor if and only if x_10 is a politician, and that there is at least one x_10 for which x_10 is not a politician we can infer that there is at least one x_10 for which x_10 is not a sailor, which contradicts that For all x_10, x_10 is a sailor. Therefore, the answer is no.