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