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