Consider the following premises. For all x_1, x_1 is a sailor. There is at least one x_1 for which if x_1 cooks, then x_1 is listening to a song. For all x_1, if x_1 were a sailor, then x_1 is cooking. Can we infer the following from them? For all x_1, x_1 will not listen to a song.
 From the fact that for all x_1, if x_1 were a sailor, then x_1 is cooking, and that for all x_1, x_1 is a sailor we can infer that for all x_1, x_1 will cook. Finally, from the fact that there is at least one x_1 for which if x_1 cooks, then x_1 is listening to a song, and that for all x_1, x_1 will cook we can infer that there is at least one x_1 for which x_1 will listen to a song, which contradicts that For all x_1, x_1 will not listen to a song. Therefore, the answer is no.