MAYBE
Input TRS:
      1: a(b(b(a(x1)))) -> a(c(a(b(x1))))
      2: a(c(x1)) -> c(c(a(x1)))
      3: c(c(c(x1))) -> b(c(b(x1)))
Number of strict rules: 3
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
     #1: #a(c(x1)) -> #c(c(a(x1)))
     #2: #a(c(x1)) -> #c(a(x1))
     #3: #a(c(x1)) -> #a(x1)
     #4: #c(c(c(x1))) -> #c(b(x1))
     #5: #a(b(b(a(x1)))) -> #a(c(a(b(x1))))
     #6: #a(b(b(a(x1)))) -> #c(a(b(x1)))
     #7: #a(b(b(a(x1)))) -> #a(b(x1))
Number of SCCs: 1, DPs: 3
  SCC { #3 #5 #7 }
POLO(Sum)... succeeded.
      a 	w: x1 + 11293
      b 	w: x1
      c 	w: x1
      #c 	w: 0
      #a 	w: x1
    USABLE RULES: { 1..3 }
    Removed DPs: #7
Number of SCCs: 1, DPs: 2
  SCC { #3 #5 }
POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... succeeded.
      a 	w: [1;21293]
      b 	w: [0,1;0,1] * x1
      c 	w: [1,0;0,0] * x1
      #c 	w: [0;0]
      #a 	w: [1,0;1,0] * x1
    USABLE RULES: { 1..3 }
    Removed DPs: #5
Number of SCCs: 1, DPs: 1
  SCC { #3 }
POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed.
Finding a loop...  failed.