Consider the following premises. There is at least one x_4 for which if x_4 makes tea, then x_4 is a musician. For all x_4, x_4 will make tea or x_4 is not a musician. For all x_4, x_4 is not a musician. Can we infer the following from them? There is at least one x_4 for which x_4 will not make tea.
 From the fact that for all x_4, x_4 will make tea or x_4 is not a musician we can infer that for all x_4, if x_4 were a musician, then x_4 is making tea. From the fact that for all x_4, if x_4 were a musician, then x_4 is making tea, and that there is at least one x_4 for which if x_4 makes tea, then x_4 is a musician we can infer that there is at least one x_4 for which x_4 is a musician if and only if x_4 will make tea. Finally, from the fact that there is at least one x_4 for which x_4 is a musician if and only if x_4 will make tea, and that for all x_4, x_4 is not a musician we can infer that there is at least one x_4 for which x_4 will not make tea. Therefore, the answer is yes.