Consider the following premises. For all x_11, x_11 is an electrician or x_11 is not an artist. There is at least one x_11 for which if x_11 sleeps, then x_11 is an artist. For all x_11, if x_11 cooks, then x_11 is an electrician. For all x_11, x_11 is an office clerk or x_11 will sleep. For all x_11, x_11 is not an office clerk or x_11 will cook. Can we infer the following from them? There is at least one x_11 for which x_11 is an electrician.
 From the fact that for all x_11, x_11 is an office clerk or x_11 will sleep, and that for all x_11, x_11 is not an office clerk or x_11 will cook we can infer that for all x_11, x_11 will sleep or x_11 will cook. From the fact that for all x_11, x_11 is an electrician or x_11 is not an artist we can infer that for all x_11, if x_11 were an artist, then x_11 is an electrician. From the fact that there is at least one x_11 for which if x_11 sleeps, then x_11 is an artist, and that for all x_11, if x_11 were an artist, then x_11 is an electrician we can infer that there is at least one x_11 for which if x_11 sleeps, then x_11 is an electrician. Finally, from the fact that there is at least one x_11 for which if x_11 sleeps, then x_11 is an electrician, that for all x_11, if x_11 cooks, then x_11 is an electrician, and that for all x_11, x_11 will sleep or x_11 will cook we can infer that there is at least one x_11 for which x_11 is an electrician. Therefore, the answer is yes.