YES

NOTE: input TRS is reduced

original is
   2: f0(c0(),c1()) -> c0()
   3: g0(c2()) -> g0(c2())
   4: c2() -> f0(c0(),f0(c1(),c1()))

reduced to
   2: f0(c0(),c1()) -> c0()
   4: c2() -> f0(c0(),f0(c1(),c1()))

0.05