Please help me with showing that the expression $P\land (Q\lor \neg P) \land \neg Q$ is a contradiction? Your help is greatly appreciated
What I have tried so far:
$\begin{align*} &C = \text{contradiction}\\ &\Rightarrow P\land (Q\land \neg Q) \lor (\neg Q\land \neg P)\\ &\Rightarrow P\land C\lor (\neg Q\land \neg P)\\ &\Rightarrow P\land (\neg Q\land \neg P)\\ &\Rightarrow (P\land \neg Q)\land (P\land \neg P)\\ &\Rightarrow (P\land \neg Q) \end{align*}$