Consider the following premises. There is at least one y for which if y were a server, then y is a mechanic. For all y, y is not a mechanic. For all y, y is a mechanic or y is not a server. For all y, if y were a mechanic, then y is a server. Can we infer the following from them? There is at least one y for which y is not a server.
 From the fact that there is at least one y for which if y were a server, then y is a mechanic, and that for all y, if y were a mechanic, then y is a server we can infer that there is at least one y for which y is a server if and only if y is a mechanic. From the fact that for all y, y is a mechanic or y is not a server we can infer that for all y, if y were a server, then y is a mechanic. From the fact that there is at least one y for which y is a server if and only if y is a mechanic we can infer that there is at least one y for which if y were a mechanic, then y is a server. From the fact that there is at least one y for which if y were a mechanic, then y is a server, and that for all y, if y were a server, then y is a mechanic we can infer that there is at least one y for which y is a mechanic if and only if y is a server. Finally, from the fact that there is at least one y for which y is a mechanic if and only if y is a server, and that for all y, y is not a mechanic we can infer that there is at least one y for which y is not a server. Therefore, the answer is yes.