Consider the following premises. For all x_17, x_17 is not a mechanic. For all x_17, x_17 will cook if and only if x_17 is a mechanic. It is overcast. For all x_17, x_17 will cook or x_17 will make tea. Can we infer the following from them? If we can, name the inference rule being used: It is not overcast.
That contradicts the premises. Therefore the answer is no.