Question $2[2$ pts$]$ Figure $1$ shows the Wumpus world game, where the agent starts from

location $1,1,$ and does not sense breeze or stench. After that, the agent moves to location

$1,2$ and sense a Breeze $($B$).$ Then the agent moves back to $[1,1],$ and further moves to

location $[2,1]$ and senses a Stench $($S$).$

Using first order logic $($FOL$)$ to express following sentences and$/$or derive respective

conclusion.

Write an FOL sentence to express that "all cells next to the cell of Wumpus will

sense a stench" $0\mathrm{.}25pt.$

Write an FOL sentence to express that "all cells next to the cell of a pit will sense

a breeze" $0\mathrm{.}25pt.$

Write an FOL sentence to express that $"$if there is no breeze sensed at a cell, there

is no pit in adjacent cells" $[0\mathrm{.}25$ pt$].$

Write an FOL sentence to express that $"$if there is no stench sensed at a cell, there

is no Wumpus in adjacent cells" $[0\mathrm{.}25$ pt$].$

Based on the above settings, derive a conclusion that there is no Wumpus at $1,3$

$[0\mathrm{.}25$ pt$]$

Based on the above settings, derive a conclusion that there is no pit at

pt $]$

Based on the above settings, derive a conclusion that Wumpus is at $[3,1][0\mathrm{.}25$ pt$]$

Based on the above settings, derive a conclusion that there is a pit at $[1,3][0\mathrm{.}25pt]$