Using the following notation:

Px$,$y is true if there is a pit in $[$x$,$ y$].$

Wx$,$y is true if there is a wumpus in $[$x$,$ y$],$ dead or alive.

Bx$,$y is true if the agent perceives a breeze in $[$x$,$ y$].$

Sx$,$y is true if the agent perceives a stench in $[$x$,$ y$].$

Given the following statements from a to b$,$ which of the following is not true:

a$)$ P$1,3.$

b$)$ B$1,1($P$1,2$ P$2,1).$

c$)$ P$1,2$

d$)$ B$1,1$

There could be no pit in $[2,1]$

There might be a breeze in $[1,2]$

There is not pit in $[2,1]$

If there is a pit in $[2,1]$ then there is a pit in $[1,2]$