EQUATIONS: 
f(x,f(y,z)) = f(f(x,y),z)
f(x,i(x)) = e()
f(x,e()) = x
f(a(),f(a(),f(a(),f(a(),f(a(),f(a(),f(a(),a()))))))) = e()
f(b(),b()) = e()
f(a(),b()) = f(b(),i(a()))

COMPLETE TRS:
RULES:
f(x,i(x)) -> f(a(),f(a(),f(a(),f(a(),f(a(),f(a(),f(a(),a())))))))
f(b(),b()) -> f(a(),f(a(),f(a(),f(a(),f(a(),f(a(),f(a(),a())))))))
f(x,f(a(),f(a(),f(a(),f(a(),f(a(),f(a(),f(a(),a())))))))) -> x
f(b(),f(b(),x)) -> x
i(b()) -> b()
i(i(x)) -> x
f(i(x),f(x,y)) -> y
f(b(),a()) -> f(a(),f(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(a(),f(a(),f(b(),x))))))))
f(i(x),x) -> f(a(),f(a(),f(a(),f(a(),f(a(),f(a(),f(a(),a())))))))
f(f(x,y),z) -> f(x,f(y,z))
e() -> f(a(),f(a(),f(a(),f(a(),f(a(),f(a(),f(a(),a())))))))
f(y,f(i(y),x)) -> x
i(f(y,x)) -> f(i(x),i(y))
f(a(),f(a(),f(a(),f(a(),f(a(),f(a(),f(a(),f(a(),x)))))))) -> x
i(a()) -> f(a(),f(a(),f(a(),f(a(),f(a(),f(a(),a()))))))

SUCCESS
MaxTRS: 10 
Search time: 37.48 seconds