MAYBE
Input TRS:
      1: b(a(b(x1))) -> a(b(a(x1)))
      2: b(b(a(x1))) -> b(b(b(x1)))
      3: c(a(x1)) -> a(b(c(x1)))
      4: c(b(x1)) -> b(a(c(x1)))
Number of strict rules: 4
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
     #1: #b(b(a(x1))) -> #b(b(b(x1)))
     #2: #b(b(a(x1))) -> #b(b(x1))
     #3: #b(b(a(x1))) -> #b(x1)
     #4: #c(a(x1)) -> #b(c(x1))
     #5: #c(a(x1)) -> #c(x1)
     #6: #b(a(b(x1))) -> #b(a(x1))
     #7: #c(b(x1)) -> #b(a(c(x1)))
     #8: #c(b(x1)) -> #c(x1)
Number of SCCs: 3, DPs: 6
  SCC { #6 }
POLO(Sum)... succeeded.
      a 	w: x1 + 1
      b 	w: x1 + 7720
      c 	w: 0
      #c 	w: 0
      #b 	w: x1
    USABLE RULES: { }
    Removed DPs: #6
Number of SCCs: 2, DPs: 5
  SCC { #5 #8 }
POLO(Sum)... succeeded.
      a 	w: x1 + 1
      b 	w: x1 + 7720
      c 	w: 0
      #c 	w: x1
      #b 	w: 0
    USABLE RULES: { }
    Removed DPs: #5 #8
Number of SCCs: 1, DPs: 3
  SCC { #1..3 }
POLO(Sum)... succeeded.
      a 	w: x1 + 21239
      b 	w: x1 + 21239
      c 	w: 0
      #c 	w: 0
      #b 	w: x1
    USABLE RULES: { 1 2 }
    Removed DPs: #2 #3
Number of SCCs: 1, DPs: 1
  SCC { #1 }
POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed.
Finding a loop...  failed.