MAYBE
Input TRS:
      1: a(x1) -> b(x1)
      2: b(b(x1)) -> c(x1)
      3: c(a(c(x1))) -> a(b(c(a(x1))))
Number of strict rules: 3
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
     #1: #b(b(x1)) -> #c(x1)
     #2: #c(a(c(x1))) -> #a(b(c(a(x1))))
     #3: #c(a(c(x1))) -> #b(c(a(x1)))
     #4: #c(a(c(x1))) -> #c(a(x1))
     #5: #c(a(c(x1))) -> #a(x1)
     #6: #a(x1) -> #b(x1)
Number of SCCs: 1, DPs: 6
  SCC { #1..6 }
POLO(Sum)... succeeded.
      a 	w: x1 + 1
      b 	w: x1 + 1
      c 	w: x1 + 2
      #c 	w: x1 + 1
      #a 	w: x1
      #b 	w: x1
    USABLE RULES: { 1..3 }
    Removed DPs: #3..5
Number of SCCs: 1, DPs: 3
  SCC { #1 #2 #6 }
POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed.
Finding a loop...  failed.