YES
Input TRS:
      1: b(a(a(x1))) -> a(b(c(x1)))
      2: c(a(x1)) -> a(c(x1))
      3: c(b(x1)) -> b(a(x1))
      4: a(a(x1)) -> a(b(a(x1)))
Number of strict rules: 4
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
     #1: #c(a(x1)) -> #a(c(x1))
     #2: #c(a(x1)) -> #c(x1)
     #3: #c(b(x1)) -> #b(a(x1))
     #4: #c(b(x1)) -> #a(x1)
     #5: #b(a(a(x1))) -> #a(b(c(x1)))
     #6: #b(a(a(x1))) -> #b(c(x1))
     #7: #b(a(a(x1))) -> #c(x1)
     #8: #a(a(x1)) -> #a(b(a(x1)))
     #9: #a(a(x1)) -> #b(a(x1))
Number of SCCs: 1, DPs: 9
  SCC { #1..9 }
POLO(Sum)... succeeded.
      a 	w: x1 + 8857
      b 	w: x1
      c 	w: x1 + 8857
      #c 	w: x1 + 17713
      #a 	w: x1 + 1
      #b 	w: x1
    USABLE RULES: { 1..4 }
    Removed DPs: #1..7 #9
Number of SCCs: 1, DPs: 1
  SCC { #8 }
POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... succeeded.
      a 	w: max(x1 + 28960, 0)
      b 	w: max(x1 - 7721, 0)
      c 	w: max(x1 + 28960, 0)
      #c 	w: 0
      #a 	w: max(x1 - 21240, 0)
      #b 	w: max(x1 - 1, 0)
    USABLE RULES: { 1..4 }
    Removed DPs: #8
Number of SCCs: 0, DPs: 0