YES
Time: 0.002645
TRS:
 {a b a x -> b a b x}
 DP:
  DP:
   {a# b a x -> a# b x}
  TRS:
  {a b a x -> b a b x}
  EDG:
   {(a# b a x -> a# b x, a# b a x -> a# b x)}
   SCCS (1):
    Scc:
     {a# b a x -> a# b x}
    SCC (1):
     Strict:
      {a# b a x -> a# b x}
     Weak:
     {a b a x -> b a b x}
     POLY:
      Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true
      Interpretation:
       [b](x0) = x0,
       
       [a](x0) = x0 + 1,
       
       [a#](x0) = x0
      Strict:
       a# b a x -> a# b x
       1 + 1x >= 0 + 1x
      Weak:
       
     Qed