\item \self Given is a formula $\varphi = ( ( p \land \neg q) \implies ( p \lor \neg r ) ) \land ( \neg q \implies \neg r )$
 and a model $\mathcal{M} = \{ p = T, \ q = F, \ r = T\}$.
 Determine the truth value of $\varphi$ for the given model $\mathcal{M}$ using its parse tree.