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\begin{dplltabular}{6}
\dpllStep{1|2|3|4|5|6}
\dpllDecL{0|1|2|2|2|2}
\dpllAssi{ - |$a$|$a, b$|$a, b, d$|\makecell{$a, b, d, $ \\ $\lnot f$}|\makecell{$a, b, d, $ \\ $\lnot f, e$}}
\dpllClause{1}{$\lnot f, \lnot b, \lnot a$}{$\lnot f, \lnot b, \lnot a$|$\lnot f, \lnot b$|$\lnot f$|$\lnot f$|\done|\done}
\dpllClause{2}{$\lnot e, a, \lnot d$}{$\lnot e, a, \lnot d$|\done|\done|\done|\done|\done}
\dpllClause{3}{$\lnot a, c, b$}{$\lnot a, c, b$|$c, b$|\done|\done|\done|\done}
\dpllClause{4}{$f, \lnot a, e$}{$f, \lnot a, e$|$f, e$|$f, e$|$f, e$|$e$|\done}
\dpllClause{5}{$d, \lnot a, \lnot b$}{$d, \lnot a, \lnot b$|$d, \lnot b$|$d$|\done|\done|\done}
\dpllClause{6}{$\lnot a, \lnot c, b$}{$\lnot a, \lnot c, b$|$\lnot c, b$|\done|\done|\done|\done}
\dpllBCP{ - | - |$d$|$\lnot f$|$e$| - }
\dpllPL{ - | - | - | - | - | - }
\dpllDeci{$a$|$b$| - | - | - |SAT}
\end{dplltabular}
}