YES

NOTE: input TRS is reduced

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

reduced to
   1: c2() -> g0(c2())
   3: g0(c0()) -> c1()
   4: c0() -> c2()

0.01