S1 : If $$-$$7 is an integer, then $$\sqrt{-7}$$ is a complex number

$$\mathrm{S} 2$$ : $$-$$7 is not an integer or $$\sqrt{-7}$$ is a complex number

Negation of the statement : $$3+6>8$$ and $$2+3<6$$ is

Given $$\mathrm{p}$$ : A man is a judge, $$\mathrm{q}$$ : A man is honest

If $$\mathrm{S} 1$$ : If a man is a judge, then he is honest

S2 : If a man is a judge, then he is not honest

S3 : A man is not a judge or he is honest Then

S4 : A man is a judge and he is honest

The statement pattern $$(p \wedge q) \wedge[(p \wedge q) \vee(\sim p \wedge q)]$$ is equivalent to