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