Answer
The given statement is neither a tautology nor a self-contradiction.
Work Step by Step
A compound statement that is always true is called a Tautology, and a compound statement that is always false is called a self-contradiction.
Determine the truth table for the provided statement, \[\left[ \left( p\to q \right)\wedge q \right]\to p\] as shown below,
As seen from the truth table that the given statement is neither always true nor always false, therefore, it is neither a tautology nor a self-contradiction.
Hence, the given statement is neither always true nor always false, therefore, it is neither a tautology nor a self-contradiction.