What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? There is at least one x_12 for which if x_12 works, then x_12 is writing a letter. For all x_12, x_12 is a politician if and only if x_12 is an astronaut. For all x_12, if x_12 writes a letter, then x_12 is running. For all x_12, if x_12 were an astronaut, then x_12 is working.
There is at least one x_12 for which if x_12 works, then x_12 is running. There is at least one x_12 for which if x_12 were an astronaut, then x_12 is writing a letter. For all x_12, if x_12 were a politician, then x_12 is an astronaut. For all x_12, if x_12 were an astronaut, then x_12 is a politician.