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  1. \item \self Given is the following formula in predicate logic
  2. $$\phi = \exists x \forall y \Bigl(
  3. \bigl(
  4. P(x,y) \implies Q(x,y)
  5. \bigr)
  6. \vee
  7. \bigl(
  8. P(y, x) \implies R(x,y)
  9. \bigr)
  10. \Bigr). $$
  11. Draw the syntax tree for $\phi$.