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_8 for which x_8 is bored. For all x_8, x_8 will write a letter or x_8 is not a politician. For all x_8, x_8 is a scientist. For all x_8, if x_8 were a scientist, then x_8 is writing a letter.
For all x_8, x_8 will write a letter. There is at least one x_8 for which x_8 is bored and x_8 is a scientist. There is at least one x_8 for which x_8 is a scientist and x_8 is bored. For all x_8, if x_8 were a politician, then x_8 is writing a letter.