MAYBE
Input TRS:
      1: a(b(b(a(x1)))) -> b(a(a(b(x1))))
      2: b(a(b(x1))) -> a(b(b(b(x1))))
Number of strict rules: 2
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
     #1: #b(a(b(x1))) -> #a(b(b(b(x1))))
     #2: #b(a(b(x1))) -> #b(b(b(x1)))
     #3: #b(a(b(x1))) -> #b(b(x1))
     #4: #a(b(b(a(x1)))) -> #b(a(a(b(x1))))
     #5: #a(b(b(a(x1)))) -> #a(a(b(x1)))
     #6: #a(b(b(a(x1)))) -> #a(b(x1))
     #7: #a(b(b(a(x1)))) -> #b(x1)
Number of SCCs: 1, DPs: 7
  SCC { #1..7 }
POLO(Sum)... succeeded.
      a 	w: x1 + 11798
      b 	w: x1
      #a 	w: x1 + 11798
      #b 	w: x1
    USABLE RULES: { 1 2 }
    Removed DPs: #2 #3 #6 #7
Number of SCCs: 1, DPs: 3
  SCC { #1 #4 #5 }
POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... succeeded.
      a 	w: [0,1;0,0] * x1
      b 	w: [0,0;1,0] * x1 + [1;0]
      #a 	w: [0,1;0,0] * x1
      #b 	w: [0,0;0,1] * x1 + [1;0]
    USABLE RULES: { 1 2 }
    Removed DPs: #5
Number of SCCs: 1, DPs: 2
  SCC { #1 #4 }
POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed.
Finding a loop...  failed.