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\begin{prooftree}
\AxiomC{$ \circled{6} \; c \lor \lnot e$}
\AxiomC{$ \circled{7} \; c \lor e$}
\BinaryInfC{$c$}
\AxiomC{$\circled{1} \; \lnot a \lor \lnot c \lor \lnot d$}
\BinaryInfC{$\lnot a \lor \lnot d$}
\AxiomC{$\circled{3} \; b \lor d$}
\BinaryInfC{$\lnot a \lor b$}
\end{prooftree}
The new learned clause is therefore Cl. 8: $\lnot a \lor b$