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31 lines
1.1 KiB
31 lines
1.1 KiB
\begin{tabular}{|c|c|c||c|c|c||c|}
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\hline
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$p$&$q$&$r$&$\lnot p$&$r \lor \lnot p$&$q \imp p$&$\phi$\\
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\hline
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\hline
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\textbf{F} &\textbf{F} &\textbf{F} & \textbf{T} & \textbf{T} & \textbf{T} & \textbf{T} \\
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\hline
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\textbf{F} &\textbf{F} &\textbf{T} & \textbf{T} & \textbf{T} & \textbf{T} & \textbf{T} \\
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\hline
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\textbf{F} &\textbf{T} &\textbf{F} & \textbf{T} & \textbf{T} & \textbf{F} & \textbf{F} \\
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\hline
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\textbf{F} &\textbf{T} &\textbf{T} & \textbf{T} & \textbf{T} & \textbf{F} & \textbf{F} \\
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\hline
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\textbf{T} &\textbf{F} &\textbf{F} & \textbf{F} & \textbf{F} & \textbf{T} & \textbf{F} \\
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\hline
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\textbf{T} &\textbf{F} &\textbf{T} & \textbf{F} & \textbf{T} & \textbf{T} & \textbf{T} \\
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\hline
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\textbf{T} &\textbf{T} &\textbf{F} & \textbf{F} & \textbf{F} & \textbf{T} & \textbf{F} \\
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\hline
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\textbf{T} &\textbf{T} &\textbf{T} & \textbf{F} & \textbf{T} & \textbf{T} & \textbf{T} \\
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\hline
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\end{tabular}
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\begin{equation*}
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\begin{split}
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\textit{CNF}(\phi) = & (p \lor \lnot q \lor r) \\
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\land & (p \lor \lnot q \lor \lnot r) \\
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\land & (\lnot p \lor q \lor r) \\
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\land & (\lnot p \lor \lnot q \lor r) \\
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\end{split}
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\end{equation*}
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