YES
(VAR x y z)
(RULES
f(a(),f(a(),f(a(),f(a(),f(a(),a()))))) -> e()
f(x,i(x)) -> e()
f(x,f(i(x),y)) -> y
f(i(x),x) -> e()
i(b()) -> b()
i(a()) -> f(a(),f(a(),f(a(),f(a(),a()))))
f(b(),a()) -> f(a(),f(a(),f(a(),f(a(),f(a(),b())))))
f(b(),f(a(),x)) -> f(a(),f(a(),f(a(),f(a(),f(a(),f(b(),x))))))
i(f(x,y)) -> f(i(y),i(x))
i(e()) -> e()
i(i(x)) -> x
f(i(x),f(x,y)) -> y
f(e(),x) -> x
f(b(),f(b(),x)) -> x
f(a(),f(a(),f(a(),f(a(),f(a(),f(a(),x)))))) -> x
f(b(),b()) -> e()
f(f(x,y),z) -> f(x,f(y,z))
f(x,e()) -> x
)