MAYBE
MAYBE
TRS:
 {
               s(a()) -> a(),
              s(s(x)) -> x,
           s(f(x, y)) -> f(s(y), s(x)),
           s(g(x, y)) -> g(s(x), s(y)),
            f(x, a()) -> x,
            f(a(), y) -> y,
  f(g(x, y), g(u, v)) -> g(f(x, u), f(y, v)),
          g(a(), a()) -> a()
 }
 DUP: We consider a non-duplicating system.
  Trs:
   {
                 s(a()) -> a(),
                s(s(x)) -> x,
             s(f(x, y)) -> f(s(y), s(x)),
             s(g(x, y)) -> g(s(x), s(y)),
              f(x, a()) -> x,
              f(a(), y) -> y,
    f(g(x, y), g(u, v)) -> g(f(x, u), f(y, v)),
            g(a(), a()) -> a()
   }
  Fail