YES

NOTE: input TRS is reduced

original is
   3: c2() -> g0(c2())
   4: c2() -> c2()
   5: g0(c0()) -> c1()
   6: c0() -> c2()

reduced to
   3: c2() -> g0(c2())
   5: g0(c0()) -> c1()
   6: c0() -> c2()

NOTE: input TRS is reduced

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

reduced to
   1: c1() -> c2()

0.01