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\begin{tikzpicture}[every tree node/.style={draw,circle},sibling distance=.25cm]
\Tree
[.$\imp$
[.$\forall x$
[.$\exists z$
[.$\lor$
[.$\lnot$
[.$P$ $x$ ]
]
[.$Q$
[.$y$ ]
[.$f$ $z$ ]
]
]
]
]
[.$\land$
[.$\exists x$
[.$\land$
[.$P$ $y$ ]
[.$Q$
[.$f$ $x$ ]
[.$z$ ]
]
]
]
]
]
\end{tikzpicture}
\newline \\
Free variables: $y, z$ \\
Bound variables: $x, z$