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Write out the truth table for $\Bigl[\bigl[\bigl(P \land \left(P \land P\right)\bigr) \land Q\bigr] \Leftrightarrow P\Bigr] \Rightarrow \left(R \Leftrightarrow S\right)$.
Hint: $\land$ is AND. $\lor$ is OR. $\lnot$ is NOT. $\Rightarrow$ is IMPLIES. $\Leftrightarrow$ is IFF. $\oplus$ is XOR.
$C_1$$C_2$$C_3$$C_4$$C_5$
$P$$Q$$R$$S$$P \land P$$P \land C_1$$C_2 \land Q$$C_3 \Leftrightarrow P$$R \Leftrightarrow S$$C_4 \Rightarrow C_5$
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$C_1$$C_2$$C_3$$C_4$$C_5$
$P$$Q$$R$$S$$P \land P$$P \land C_1$$C_2 \land Q$$C_3 \Leftrightarrow P$$R \Leftrightarrow S$$C_4 \Rightarrow C_5$
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