Translate the following inference to logic notation: For all x, if x_7 were an artist, then x_7 is cooking. For all x, x_7 will not read a book. There is at least one x for which x_7 will make tea if and only if x_7 is an artist. For all x, x_7 will read a book if and only if x_7 will cook. Therefore there is at least one x for which x_7 will not make tea.
forall x: P(x) -> Q(x). forall x: ~R(x). exists x: S(x) <-> P(x). forall x: R(x) <-> Q(x). Therefore exists x: ~S(x).