YES

NOTE: input TRS is reduced

original is
   1: g0(c0()) -> g0(f0(c1(),c1()))
   2: c0() -> f0(c2(),c2())
   3: c2() -> c3()
   4: c3() -> c1()
   5: c1() -> c3()

reduced to
   2: c0() -> f0(c2(),c2())
   3: c2() -> c3()
   4: c3() -> c1()
   5: c1() -> c3()

NOTE: input TRS is reduced

original is
   1: g0(c0()) -> g0(f0(c1(),c1()))
   2: c0() -> f0(c2(),c2())
   3: c2() -> c3()
   4: c3() -> c1()
   5: c1() -> c3()

reduced to
   2: c0() -> f0(c2(),c2())
   3: c2() -> c3()
   4: c3() -> c1()
   5: c1() -> c3()

0.01