Translate the following inference to logic notation: There is at least one x for which x_11 is a musician if and only if x_11 is a carpenter. For all x, x_11 is a carpenter if and only if x_11 is an astronaut. For all x, x_11 will go running if and only if x_11 is an astronaut. For all x, x_11 will not go running. Therefore there is at least one x for which x_11 is not a musician.
exists x: P(x) <-> Q(x). forall x: Q(x) <-> R(x). forall x: S(x) <-> R(x). forall x: ~S(x). Therefore exists x: ~P(x).