Verify that the statement `P vee ~( p ^^ q)` is a tautology.

Explanation

To verify that the statement \( P \vee \neg (P \wedge Q) \) is a tautology, we will construct a truth table. A tautology is a statement that is always true regardless of the truth values of its components.

### Step 1: Identify the variables
We have two variables in our statement:
- \( P \)
- \( Q \)

### Step 2: List all possible truth values
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