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\item \lect Given are the truth tables for the propositional logic formulas $\varphi$ and $\psi$. Determine whether it holds that $\varphi \models \psi$, $\psi \models \varphi$, or neither.
\begin{center} \begin{tabular}{ | c | c | c | c | c | c | } \hline $p$&$q$&$r$&$\varphi$ & $\psi$\\ \hline \textbf{F} &\textbf{F} &\textbf{F} & F & F \\ \textbf{F} &\textbf{F} &\textbf{T} & T & T \\ \textbf{F} &\textbf{T} &\textbf{F} & F & F \\ \textbf{F} &\textbf{T} &\textbf{T} & T & T \\ \textbf{T} &\textbf{F} &\textbf{F} & F & F \\ \textbf{T} &\textbf{F} &\textbf{T} & F & T \\ \textbf{T} &\textbf{T} &\textbf{F} & T & T \\ \textbf{T} &\textbf{T} &\textbf{T} & T & T \\ \hline \end{tabular} \end{center}
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