What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? For all x_6, if x_6 were a poet, then x_6 is working. There is at least one x_6 for which if x_6 works, then x_6 is a carpenter. For all x_6, if x_6 were a doctor, then x_6 is writing a letter. For all x_6, if x_6 were a carpenter, then x_6 is a doctor.
For all x_6, if x_6 were a carpenter, then x_6 is writing a letter. There is at least one x_6 for which if x_6 works, then x_6 is a doctor. There is at least one x_6 for which if x_6 were a poet, then x_6 is a carpenter.