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