YES

NOTE: input TRS is reduced

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

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

NOTE: input TRS is reduced

original is
   1: c0() -> c0()
   2: c0() -> c1()
   3: c0() -> f0(c0(),c0())
   4: f0(c1(),c1()) -> f0(c0(),c0())
   5: f0(x1,c0()) -> f0(c0(),c1())

reduced to
   2: c0() -> c1()
   3: c0() -> f0(c0(),c0())
   4: f0(c1(),c1()) -> f0(c0(),c0())
   5: f0(x1,c0()) -> f0(c0(),c1())

0.83