YES

NOTE: input TRS is reduced

original is
   4: c0() -> c0()
   5: c0() -> f0(c0(),c1())
   6: c1() -> f0(c1(),g0(g0(c1())))
   7: c1() -> c1()
   8: f0(c1(),f0(g0(c0()),c0())) -> c0()

reduced to
   5: c0() -> f0(c0(),c1())
   6: c1() -> f0(c1(),g0(g0(c1())))
   8: f0(c1(),f0(g0(c0()),c0())) -> c0()

NOTE: input TRS is reduced

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

reduced to
   1: f0(c0(),c1()) -> c0()
   3: c2() -> f0(c0(),f0(c1(),c1()))

1.53