YES
(VAR x y z)
(RULES
f(i(x),x) -> e()
f(x,i(x)) -> e()
t(x) -> x
r(x) -> x
R(x) -> x
T(x) -> x
s(x) -> x
S(x) -> x
i(f(x,y)) -> f(i(y),i(x))
i(i(x)) -> x
i(e()) -> e()
f(i(x),f(x,y)) -> y
f(x,f(i(x),y)) -> y
f(f(x,y),z) -> f(x,f(y,z))
f(e(),x) -> x
f(x,e()) -> x
)