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  1. \item \self For the formula below, find one
  2. model that satisfies the formula, and one model that does not
  3. satisfy the formula.
  4. Explain your answer by drawing a \textbf{syntax tree} and evaluate the model $\mathcal{M}$ with the help of this syntax tree.
  5. $$\exists x (P(x) \land Q(f(x))) \lor (\neg P(x) \land \neg Q(f(x))$$