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