Consider the following premises. There is at least one x_15 for which if x_15 writes a letter, then x_15 is running. For all x_15, x_15 will go running or x_15 is not a carpenter. For all x_15, x_15 will write a letter if and only if x_15 will go running. Can we infer the following from them? If we can, name the inference rule being used: For all x_15, the fact that x_15 were a carpenter does not imply that x_15 is writing a letter.
That contradicts the premises. Therefore the answer is no.