Consider the following premises. For all x_14, x_14 is a carpenter and x_14 is a writer. There is at least one x_14 for which x_14 is bored. For all x_14, x_14 will cook. Can we infer the following from them? If we can, name the inference rule being used: For all x_14, either x_14 will cook or x_14 is a carpenter are not true.
That contradicts the premises. Therefore the answer is no.