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