YES
Time: 0.004443
TRS:
 {f f x -> f x,
  f 1() -> f g 1(),
  g g x -> g x,
  g 0() -> g f 0()}
 DP:
  DP:
   {f# 1() -> f# g 1(),
    f# 1() -> g# 1(),
    g# 0() -> f# 0(),
    g# 0() -> g# f 0()}
  TRS:
  {f f x -> f x,
   f 1() -> f g 1(),
   g g x -> g x,
   g 0() -> g f 0()}
  EDG:
   {}
   STATUS:
    arrows: 1.000000
    SCCS (0):