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