Translate the following inference to logic notation: There is at least one x for which if x_11 were an astronaut, then x_11 is reading a book. For all x, x_11 is a server if and only if x_11 will read a book. For all x, x_11 is an astronaut or x_11 is not a server. Therefore there is at least one x for which x_11 is an astronaut if and only if x_11 is a server.
exists x: P(x) -> Q(x). forall x: R(x) <-> Q(x). forall x: P(x) or ~R(x). Therefore exists x: P(x) <-> R(x).