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 carpenter, then x_6 is happy. There is at least one x_6 for which if x_6 were a politician, then x_6 is a carpenter. For all x_6, if x_6 were a musician, then x_6 is a politician. For all x_6, if x_6 were happy, then x_6 is a musician.
For all x_6, if x_6 were a carpenter, then x_6 is a musician. For all x_6, if x_6 were happy, then x_6 is a politician. There is at least one x_6 for which if x_6 were a politician, then x_6 is happy. There is at least one x_6 for which if x_6 were a musician, then x_6 is a carpenter.