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  1. \item \lect Given the formula
  2. $$P(x,y) \lor \exists y \forall x \; \big(Q(x,y)\land R(y,z) \big),$$
  3. construct a syntax tree for $\phi$ and determine the \textit{scope} of its quantifiers and which occurrences of the variables are \textit{free} and which are \textit{bound}.