YES
Input TRS:
      1: a(b(c(a(x1)))) -> b(a(c(b(a(b(x1))))))
      2: a(d(x1)) -> c(x1)
      3: a(f(f(x1))) -> g(x1)
      4: b(g(x1)) -> g(b(x1))
      5: c(x1) -> f(f(x1))
      6: c(a(c(x1))) -> b(c(a(b(c(x1)))))
      7: c(d(x1)) -> a(a(x1))
      8: g(x1) -> c(a(x1))
      9: g(x1) -> d(d(d(d(x1))))
Number of strict rules: 9
Direct POLO(bPol) ... removes: 7 9 2
      a 	w: x1 + 173642
      d 	w: x1 + 115760
      b 	w: x1
      c 	w: x1 + 289400
      f 	w: x1 + 144700
      g 	w: x1 + 463042
Number of strict rules: 6
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
     #1: #c(a(c(x1))) -> #b(c(a(b(c(x1)))))
     #2: #c(a(c(x1))) -> #c(a(b(c(x1))))
     #3: #c(a(c(x1))) -> #a(b(c(x1)))
     #4: #c(a(c(x1))) -> #b(c(x1))
     #5: #a(f(f(x1))) -> #g(x1)
     #6: #a(b(c(a(x1)))) -> #b(a(c(b(a(b(x1))))))
     #7: #a(b(c(a(x1)))) -> #a(c(b(a(b(x1)))))
     #8: #a(b(c(a(x1)))) -> #c(b(a(b(x1))))
     #9: #a(b(c(a(x1)))) -> #b(a(b(x1)))
     #10: #a(b(c(a(x1)))) -> #a(b(x1))
     #11: #a(b(c(a(x1)))) -> #b(x1)
     #12: #g(x1) -> #c(a(x1))
     #13: #g(x1) -> #a(x1)
     #14: #b(g(x1)) -> #g(b(x1))
     #15: #b(g(x1)) -> #b(x1)
Number of SCCs: 1, DPs: 14
  SCC { #1..7 #9..15 }
POLO(Sum)... succeeded.
      a 	w: x1 + 52868
      d 	w: 0
      b 	w: x1
      c 	w: x1 + 72672
      f 	w: x1 + 36336
      #g 	w: x1 + 125540
      #c 	w: x1 + 72672
      #a 	w: x1 + 125540
      g 	w: x1 + 125540
      #b 	w: x1
    USABLE RULES: { 1 3..6 8 }
    Removed DPs: #4..6 #9..11 #15
Number of SCCs: 1, DPs: 4
  SCC { #1 #2 #12 #14 }
POLO(Sum)... succeeded.
      a 	w: 3
      d 	w: 0
      b 	w: x1
      c 	w: 1
      f 	w: 1
      #g 	w: 3
      #c 	w: 2
      #a 	w: 125540
      g 	w: 3
      #b 	w: x1
    USABLE RULES: { 1 3..6 8 }
    Removed DPs: #1 #12
Number of SCCs: 1, DPs: 1
  SCC { #2 }
POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... succeeded.
      a 	s: [1]	p: 2	w: x1 + 3
      d 	s: []	p: 0	w: 1
      b 	s: []	p: 0	w: x1
      c 	s: []	p: 1	w: 8369
      f 	s: []	p: 1	w: 8368
      #g 	s: []	p: 0	w: 1
      #c 	s: [1]	p: 0	w: x1 + 1
      #a 	s: []	p: 0	w: 1
      g 	s: []	p: 0	w: 8370
      #b 	s: []	p: 0	w: 1
    USABLE RULES: { 1 3..6 8 }
    Removed DPs: #2
Number of SCCs: 0, DPs: 0