YES

2 decompositions
 #0 -----------
   1: or(x,y) -> or(y,x)
   2: or(x,T()) -> T()
   3: or(x,F()) -> x
   4: or(or(x,y),z) -> or(x,or(y,z))

 #1 -----------
   5: and(x,T()) -> x
   6: and(x,F()) -> F()
   7: and(x,y) -> and(y,x)
   8: and(and(x,y),z) -> and(x,and(y,z))

@Jouannaud and Kirchner's criterion
--- R
   1: or(x,y) -> or(y,x)
   2: or(x,T()) -> T()
   3: or(x,F()) -> x
   4: or(or(x,y),z) -> or(x,or(y,z))

--- S
   1: or(x,y) -> or(y,x)
   2: or(x,T()) -> T()
   3: or(x,F()) -> x
   4: or(or(x,y),z) -> or(x,or(y,z))


@Jouannaud and Kirchner's criterion
--- R
   5: and(x,T()) -> x
   6: and(x,F()) -> F()
   7: and(x,y) -> and(y,x)
   8: and(and(x,y),z) -> and(x,and(y,z))

--- S
   5: and(x,T()) -> x
   6: and(x,F()) -> F()
   7: and(x,y) -> and(y,x)
   8: and(and(x,y),z) -> and(x,and(y,z))