MAYBE
Input TRS:
      1: a(a(a(x1))) -> b(b(a(x1)))
      2: a(b(a(x1))) -> b(b(a(x1)))
      3: b(a(b(x1))) -> a(a(b(x1)))
Number of strict rules: 3
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
     #1: #a(b(a(x1))) -> #b(b(a(x1)))
     #2: #b(a(b(x1))) -> #a(a(b(x1)))
     #3: #a(a(a(x1))) -> #b(b(a(x1)))
     #4: #a(a(a(x1))) -> #b(a(x1))
Number of SCCs: 1, DPs: 4
  SCC { #1..4 }
POLO(Sum)... succeeded.
      a 	w: x1 + 11293
      b 	w: x1 + 11293
      #a 	w: x1 + 1
      #b 	w: x1 + 1
    USABLE RULES: { 1..3 }
    Removed DPs: #4
Number of SCCs: 1, DPs: 3
  SCC { #1..3 }
POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed.
Finding a loop...  failed.