YES

NOTE: input TRS is reduced

original is
   6: c0() -> c2()
   7: g0(c0()) -> c1()
   8: c1() -> c1()
   9: c1() -> f0(c1(),f0(c2(),c0()))

reduced to
   6: c0() -> c2()
   7: g0(c0()) -> c1()
   9: c1() -> f0(c1(),f0(c2(),c0()))

4.42