Questionnaire-2024/propositional_logic/1017_sol.tex

Let $\Model_1 = \{p=\F, q=\T, r=\F\}$ and $\Model_2 = \{p=\F, q=\F, r=\F\}$ and annotate the parse tree with in blue for $\Model_1$ and red for $\Model_2$.
\begin{center}
\begin{forest}
for tree={circle, draw,
            minimum size=2em,
            inner sep=0pt,
            s sep=5mm,
            l sep=4mm}
  [$\imp$, label={\satUnsatAss{T}{F}}
    [$\lor$, label={\satUnsatAss{F}{T}}
      [$\imp$, label={\satUnsatAss{F}{T}}
          [$q$, label={\satUnsatAss{T}{F}}]
          [$\neg$, label={\satUnsatAss{T}{T}}
            [$p$, edge label={node[midway,right]{\satUnsatAss{F}{F}}}
          ]
        ]
      ]
      [$r$, label={\satUnsatAss{F}{F}}]
    ]
    [$\land$, label={\satUnsatAss{T}{F}}
      [$q$, label={\satUnsatAss{T}{F}}]
      [$\imp$, label={\satUnsatAss{T}{T}}
        [$r$, label={\satUnsatAss{F}{F}}]
        [$p$, label={\satUnsatAss{F}{F}}]
      ]
    ]
  ]
\end{forest}
\end{center}