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\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.