Consider the following premises. For all x_11, x_11 is a server. For all x_11, if x_11 reads a book, then x_11 is a mechanic. For all x_11, x_11 will sleep and x_11 will make tea. For all x_11, x_11 is not a server or x_11 is a nurse. For all x_11, if x_11 were a nurse, then x_11 is a mechanic. Can we infer the following from them? There is at least one x_11 for which either x_11 will sleep or x_11 is a mechanic are not true.
 From the fact that for all x_11, x_11 will sleep and x_11 will make tea we can infer that for all x_11, x_11 will sleep. From the fact that for all x_11, x_11 is a server we can infer that for all x_11, x_11 is a server or x_11 will read a book. From the fact that for all x_11, x_11 is a server or x_11 will read a book, and that for all x_11, x_11 is not a server or x_11 is a nurse we can infer that for all x_11, x_11 will read a book or x_11 is a nurse. From the fact that for all x_11, if x_11 reads a book, then x_11 is a mechanic, that for all x_11, if x_11 were a nurse, then x_11 is a mechanic, and that for all x_11, x_11 will read a book or x_11 is a nurse we can infer that for all x_11, x_11 is a mechanic. Finally, from the fact that for all x_11, x_11 will sleep, and that for all x_11, x_11 is a mechanic we can infer that for all x_11, x_11 will sleep and x_11 is a mechanic, which contradicts that There is at least one x_11 for which either x_11 will sleep or x_11 is a mechanic are not true. Therefore, the answer is no.