(∀d)(¬department(d) ∨ d.Dnumber ≠ e.Dno ∨ (d.Mgr_ssn ≠ e.ssn) ∨ (e.sex = ‘male’))}
Let us take negation of it. ( and conditions are easier to understand than or)
d (department(d) d.Dnumber = e.Dno d.Mgr_ssn = e.ssn)(e.sex = ‘female’))}
there is some d which is department and whose department number matches with e's department number and its manager is e and e is female
That means "there is some Department for which our e (e is also female) is a manager and also belongs to same department"
Since we interpreted negation of the statement.
So original statement would be " It is false that there is some Department for which our e (e is also female) is an employee working there and manager"
Finally e (e is also female) is not a manager to any department where he works
Now we interpret all together
It prints e.name when e is an employee and female and not a manager to any department where he works