YES
Input TRS:
      1: a(a(b(x1))) -> b(a(b(c(a(x1)))))
      2: b(a(x1)) -> a(b(b(x1)))
      3: b(c(a(x1))) -> c(a(b(x1)))
Number of strict rules: 3
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
     #1: #b(a(x1)) -> #a(b(b(x1)))
     #2: #b(a(x1)) -> #b(b(x1))
     #3: #b(a(x1)) -> #b(x1)
     #4: #b(c(a(x1))) -> #a(b(x1))
     #5: #b(c(a(x1))) -> #b(x1)
     #6: #a(a(b(x1))) -> #b(a(b(c(a(x1)))))
     #7: #a(a(b(x1))) -> #a(b(c(a(x1))))
     #8: #a(a(b(x1))) -> #b(c(a(x1)))
     #9: #a(a(b(x1))) -> #a(x1)
Number of SCCs: 1, DPs: 8
  SCC { #1..6 #8 #9 }
POLO(Sum)... succeeded.
      a 	w: x1 + 7720
      b 	w: x1
      c 	w: x1
      #a 	w: x1 + 7720
      #b 	w: x1
    USABLE RULES: { 1..3 }
    Removed DPs: #2 #3 #5 #8 #9
Number of SCCs: 1, DPs: 2
  SCC { #1 #6 }
POLO(Sum)... succeeded.
      a 	w: x1 + 18170
      b 	w: x1
      c 	w: 1414
      #a 	w: x1 + 18169
      #b 	w: x1
    USABLE RULES: { 1..3 }
    Removed DPs: #1 #6
Number of SCCs: 0, DPs: 0