Consider the following premises. For all x_13, if x_13 were a server, then x_13 is cooking. For all x_13, x_13 will climb a mountain or x_13 is a server. For all x_13, if x_13 climbs a mountain, then x_13 is cooking. Can we infer the following from them? It is not raining.
We cannot infer that from the premises. Therefore the answer is no.