Answer
((¬(p∧(q∧¬r)))∧(¬((p∧q)∧¬r)))∧((¬((p∧q)∧¬r))∧(¬(p∧(q∧¬r))))
Work Step by Step
Use the given logical equivalency rules and step by step, simplify it out. If a statement has an or symbol in it, negate it and use the De Morgan laws of negation.