Let P$($x$,$y$)$ be a predicate where the universe of discourse of the variables is $\{1,2,3\}.$ Suppose P$(1,3),$P$(2,1),$ P$(2,2),$ P$(2,3),$ P$(3,1),$ P$(3,2)$ are true, and P$($x$,$y$)$ is false otherwise. What is the truth value of the$$following:$-"$x$"$y $($x $$ y $($ P$($x$,$ y$)$ P$($y$,$ x$)))-"$y$x $($x $$ y $$ P$($x$,$y$))$