Suppose that KB for an agent trying to thrive in the wumpus world contains the

following $10$ facts:

$K1$ : notS$1,1$

$K2$:notS$2,1$

$K3$:$S1,2$

$K4$:notB$1,1$

$K5$:$B2,1$

$K6$ : notB$1,2$

$K7$:notS$1,1(notW1,1^{{?}^{?}}$notW$1,1^{{?}^{?}}$notW$2,1)$

$K8$:notS$2,1(notW1,1^{{?}^{?}}$notW$2,1^{{?}^{?}}$notW$2,2^{{?}^{?}}$urcornerW$3,1)$

$K9$:notS$1,2(notW1,1^{{?}^{?}}$urcornerW$1,2urcornerW2,2^{{?}^{?}}$urcornerW$1,3)$

v W$1,2$ v W$2,2$ v W$1,1)$

I. If we use model checking as a technique to find out whether our $KB$ is satisfiable. What will

be the size of the truth table?

II$.$ Does the KB $=B2,1?$ Prove using Resolution Refutation.