Consider the following premises. For all x_8, x_8 will cook if and only if x_8 will make tea. There is at least one x_8 for which if x_8 were an artist, then x_8 is cooking. For all x_8, if x_8 makes tea, then x_8 is an artist. Can we infer the following from them? If we can, name the inference rule being used: For all x_8, if is not true that x_8 will cook if and only if x_8 will make tea.
That contradicts the premises. Therefore the answer is no.