YES
Input TRS:
      1: active(f(f(a()))) -> mark(c(f(g(f(a())))))
      2: mark(f(X)) -> active(f(mark(X)))
      3: mark(a()) -> active(a())
      4: mark(c(X)) -> active(c(X))
      5: mark(g(X)) -> active(g(mark(X)))
      6: f(mark(X)) -> f(X)
      7: f(active(X)) -> f(X)
      8: c(mark(X)) -> c(X)
      9: c(active(X)) -> c(X)
      10: g(mark(X)) -> g(X)
      11: g(active(X)) -> g(X)
Number of strict rules: 11
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
     #1: #mark(f(X)) -> #active(f(mark(X)))
     #2: #mark(f(X)) -> #f(mark(X))
     #3: #mark(f(X)) -> #mark(X)
     #4: #f(mark(X)) -> #f(X)
     #5: #c(active(X)) -> #c(X)
     #6: #g(active(X)) -> #g(X)
     #7: #f(active(X)) -> #f(X)
     #8: #g(mark(X)) -> #g(X)
     #9: #mark(g(X)) -> #active(g(mark(X)))
     #10: #mark(g(X)) -> #g(mark(X))
     #11: #mark(g(X)) -> #mark(X)
     #12: #mark(a()) -> #active(a())
     #13: #active(f(f(a()))) -> #mark(c(f(g(f(a())))))
     #14: #active(f(f(a()))) -> #c(f(g(f(a()))))
     #15: #active(f(f(a()))) -> #f(g(f(a())))
     #16: #active(f(f(a()))) -> #g(f(a()))
     #17: #c(mark(X)) -> #c(X)
     #18: #mark(c(X)) -> #active(c(X))
Number of SCCs: 4, DPs: 8
  SCC { #3 #11 }
POLO(Sum)... succeeded.
      a 	w: 0
      c 	w: 0
      f 	w: x1 + 1
      #mark	w: x1
      mark	w: 0
      #f 	w: 0
      #g 	w: 0
      #c 	w: 0
      active	w: 0
      #active	w: 0
      g 	w: x1 + 1
    USABLE RULES: { }
    Removed DPs: #3 #11
Number of SCCs: 3, DPs: 6
  SCC { #5 #17 }
POLO(Sum)... succeeded.
      a 	w: 0
      c 	w: 0
      f 	w: 1
      #mark	w: 0
      mark	w: x1 + 1
      #f 	w: 0
      #g 	w: 0
      #c 	w: x1
      active	w: x1 + 1
      #active	w: 0
      g 	w: 1
    USABLE RULES: { }
    Removed DPs: #5 #17
Number of SCCs: 2, DPs: 4
  SCC { #6 #8 }
POLO(Sum)... succeeded.
      a 	w: 0
      c 	w: 0
      f 	w: 1
      #mark	w: 0
      mark	w: x1 + 1
      #f 	w: 0
      #g 	w: x1
      #c 	w: 0
      active	w: x1 + 1
      #active	w: 0
      g 	w: 1
    USABLE RULES: { }
    Removed DPs: #6 #8
Number of SCCs: 1, DPs: 2
  SCC { #4 #7 }
POLO(Sum)... succeeded.
      a 	w: 0
      c 	w: 0
      f 	w: 1
      #mark	w: 0
      mark	w: x1 + 1
      #f 	w: x1
      #g 	w: 0
      #c 	w: 0
      active	w: x1 + 1
      #active	w: 0
      g 	w: 1
    USABLE RULES: { }
    Removed DPs: #4 #7
Number of SCCs: 0, DPs: 0