YES

2 decompositions
 #1 -----------
   7: and(x1,T()) -> x1
   8: and(x1,F()) -> F()
   9: and(x1,x2) -> and(x2,x1)
  10: and(and(x1,x2),x3) -> and(x1,and(x2,x3))

 #2 -----------
   1: not(T()) -> F()
   2: not(F()) -> T()
   3: or(x1,T()) -> T()
   4: or(x1,F()) -> x1
   5: or(x1,x2) -> or(x2,x1)
   6: or(or(x1,x2),x3) -> or(x1,or(x2,x3))
  11: imply(x1,x2) -> or(not(x1),x2)

@Jouannaud and Kirchner's criterion
--- R
   7: and(x1,T()) -> x1
   8: and(x1,F()) -> F()
   9: and(x1,x2) -> and(x2,x1)
  10: and(and(x1,x2),x3) -> and(x1,and(x2,x3))

--- S
   7: and(x1,T()) -> x1
   8: and(x1,F()) -> F()
   9: and(x1,x2) -> and(x2,x1)
  10: and(and(x1,x2),x3) -> and(x1,and(x2,x3))


@Jouannaud and Kirchner's criterion
--- R
   1: not(T()) -> F()
   2: not(F()) -> T()
   3: or(x1,T()) -> T()
   4: or(x1,F()) -> x1
   5: or(x1,x2) -> or(x2,x1)
   6: or(or(x1,x2),x3) -> or(x1,or(x2,x3))
  11: imply(x1,x2) -> or(not(x1),x2)

--- S
   1: not(T()) -> F()
   2: not(F()) -> T()
   3: or(x1,T()) -> T()
   4: or(x1,F()) -> x1
   5: or(x1,x2) -> or(x2,x1)
   6: or(or(x1,x2),x3) -> or(x1,or(x2,x3))
  11: imply(x1,x2) -> or(not(x1),x2)