YES
Time: 0.001112
TRS:
 {f(g h(x, y), f(a(), a())) -> f(h(x, x), g f(y, a()))}
 DP:
  DP:
   {f#(g h(x, y), f(a(), a())) -> f#(y, a()),
    f#(g h(x, y), f(a(), a())) -> f#(h(x, x), g f(y, a()))}
  TRS:
  {f(g h(x, y), f(a(), a())) -> f(h(x, x), g f(y, a()))}
  UR:
   {b(z, w) -> z,
    b(z, w) -> w}
   EDG:
    {}
    STATUS:
     arrows: 1.000000
     SCCS (0):