Consider the following premises. For all x_7, if x_7 cooks, then x_7 is an artist. For all x_7, x_7 will not cook. There is at least one x_7 for which if x_7 were an artist, then x_7 is cooking. Can we infer the following from them? For all x_7, x_7 will not cook.
That is one of the premises. Therefore, the answer is yes.