YES

NOTE: input TRS is reduced

original is
  13: c0() -> c0()
  14: c1() -> f0(g0(g0(g0(c1()))),f0(c1(),g0(c0())))

reduced to
  14: c1() -> f0(g0(g0(g0(c1()))),f0(c1(),g0(c0())))

0.08