Translate the following inference to logic notation: Karen is a cashier and it is overcast. For all x, if x_26 cooks, then x_26 is sad. For all x, x_26 is a taxi driver or x_26 will cook. For all x, if x_26 were sad, then x_26 is writing a letter. For all x, if x_26 were a taxi driver, then x_26 is sad. Therefore Barbara is writing a letter and Karen is a cashier.
p and q. forall x: P(x) -> Q(x). forall x: R(x) or P(x). forall x: Q(x) -> S(x). forall x: R(x) -> Q(x). Therefore S(a) and p.