183.47/46.94	YES
183.47/46.95	
183.47/46.95	Problem:
183.47/46.95	 b(b(b(a(x1)))) -> b(a(a(a(x1))))
183.47/46.95	 b(b(b(b(x1)))) -> b(a(a(b(x1))))
183.47/46.95	 a(a(b(a(x1)))) -> b(a(b(a(x1))))
183.47/46.95	 b(a(a(b(x1)))) -> a(a(a(b(x1))))
183.47/46.95	
183.47/46.95	Proof:
183.47/46.95	 String Reversal Processor:
183.47/46.95	  a(b(b(b(x1)))) -> a(a(a(b(x1))))
183.47/46.95	  b(b(b(b(x1)))) -> b(a(a(b(x1))))
183.47/46.95	  a(b(a(a(x1)))) -> a(b(a(b(x1))))
183.47/46.95	  b(a(a(b(x1)))) -> b(a(a(a(x1))))
183.47/46.95	  DP Processor:
183.47/46.95	   DPs:
183.47/46.95	    a#(b(b(b(x1)))) -> a#(b(x1))
183.47/46.95	    a#(b(b(b(x1)))) -> a#(a(b(x1)))
183.47/46.95	    a#(b(b(b(x1)))) -> a#(a(a(b(x1))))
183.47/46.95	    b#(b(b(b(x1)))) -> a#(b(x1))
183.47/46.95	    b#(b(b(b(x1)))) -> a#(a(b(x1)))
183.47/46.95	    b#(b(b(b(x1)))) -> b#(a(a(b(x1))))
183.47/46.95	    a#(b(a(a(x1)))) -> b#(x1)
183.47/46.95	    a#(b(a(a(x1)))) -> a#(b(x1))
183.47/46.95	    a#(b(a(a(x1)))) -> b#(a(b(x1)))
183.47/46.95	    a#(b(a(a(x1)))) -> a#(b(a(b(x1))))
183.47/46.95	    b#(a(a(b(x1)))) -> a#(x1)
183.47/46.95	    b#(a(a(b(x1)))) -> a#(a(x1))
183.47/46.95	    b#(a(a(b(x1)))) -> a#(a(a(x1)))
183.47/46.95	    b#(a(a(b(x1)))) -> b#(a(a(a(x1))))
183.47/46.95	   TRS:
183.47/46.95	    a(b(b(b(x1)))) -> a(a(a(b(x1))))
183.47/46.95	    b(b(b(b(x1)))) -> b(a(a(b(x1))))
183.47/46.95	    a(b(a(a(x1)))) -> a(b(a(b(x1))))
183.47/46.95	    b(a(a(b(x1)))) -> b(a(a(a(x1))))
183.47/46.95	   TDG Processor:
183.47/46.95	    DPs:
183.47/46.95	     a#(b(b(b(x1)))) -> a#(b(x1))
183.47/46.95	     a#(b(b(b(x1)))) -> a#(a(b(x1)))
183.47/46.95	     a#(b(b(b(x1)))) -> a#(a(a(b(x1))))
183.47/46.95	     b#(b(b(b(x1)))) -> a#(b(x1))
183.47/46.95	     b#(b(b(b(x1)))) -> a#(a(b(x1)))
183.47/46.95	     b#(b(b(b(x1)))) -> b#(a(a(b(x1))))
183.47/46.95	     a#(b(a(a(x1)))) -> b#(x1)
183.47/46.95	     a#(b(a(a(x1)))) -> a#(b(x1))
183.47/46.95	     a#(b(a(a(x1)))) -> b#(a(b(x1)))
183.47/46.95	     a#(b(a(a(x1)))) -> a#(b(a(b(x1))))
183.47/46.95	     b#(a(a(b(x1)))) -> a#(x1)
183.47/46.95	     b#(a(a(b(x1)))) -> a#(a(x1))
183.47/46.95	     b#(a(a(b(x1)))) -> a#(a(a(x1)))
183.47/46.95	     b#(a(a(b(x1)))) -> b#(a(a(a(x1))))
183.47/46.95	    TRS:
183.47/46.95	     a(b(b(b(x1)))) -> a(a(a(b(x1))))
183.47/46.95	     b(b(b(b(x1)))) -> b(a(a(b(x1))))
183.47/46.95	     a(b(a(a(x1)))) -> a(b(a(b(x1))))
183.47/46.95	     b(a(a(b(x1)))) -> b(a(a(a(x1))))
183.47/46.95	    graph:
183.47/46.95	     b#(b(b(b(x1)))) -> b#(a(a(b(x1)))) ->
183.47/46.95	     b#(a(a(b(x1)))) -> b#(a(a(a(x1))))
183.47/46.95	     b#(b(b(b(x1)))) -> b#(a(a(b(x1)))) ->
183.47/46.95	     b#(a(a(b(x1)))) -> a#(a(a(x1)))
183.47/46.95	     b#(b(b(b(x1)))) -> b#(a(a(b(x1)))) ->
183.47/46.95	     b#(a(a(b(x1)))) -> a#(a(x1))
183.47/46.95	     b#(b(b(b(x1)))) -> b#(a(a(b(x1)))) ->
183.47/46.95	     b#(a(a(b(x1)))) -> a#(x1)
183.47/46.95	     b#(b(b(b(x1)))) -> b#(a(a(b(x1)))) ->
183.47/46.95	     b#(b(b(b(x1)))) -> b#(a(a(b(x1))))
183.47/46.95	     b#(b(b(b(x1)))) -> b#(a(a(b(x1)))) ->
183.47/46.95	     b#(b(b(b(x1)))) -> a#(a(b(x1)))
183.47/46.95	     b#(b(b(b(x1)))) -> b#(a(a(b(x1)))) -> b#(b(b(b(x1)))) -> a#(b(x1))
183.47/46.95	     b#(b(b(b(x1)))) -> a#(b(x1)) -> a#(b(a(a(x1)))) -> a#(b(a(b(x1))))
183.47/46.95	     b#(b(b(b(x1)))) -> a#(b(x1)) -> a#(b(a(a(x1)))) -> b#(a(b(x1)))
183.47/46.95	     b#(b(b(b(x1)))) -> a#(b(x1)) -> a#(b(a(a(x1)))) -> a#(b(x1))
183.47/46.95	     b#(b(b(b(x1)))) -> a#(b(x1)) -> a#(b(a(a(x1)))) -> b#(x1)
183.47/46.95	     b#(b(b(b(x1)))) -> a#(b(x1)) -> a#(b(b(b(x1)))) -> a#(a(a(b(x1))))
183.47/46.95	     b#(b(b(b(x1)))) -> a#(b(x1)) -> a#(b(b(b(x1)))) -> a#(a(b(x1)))
183.47/46.95	     b#(b(b(b(x1)))) -> a#(b(x1)) -> a#(b(b(b(x1)))) -> a#(b(x1))
183.47/46.95	     b#(b(b(b(x1)))) -> a#(a(b(x1))) ->
183.47/46.95	     a#(b(a(a(x1)))) -> a#(b(a(b(x1))))
183.47/46.95	     b#(b(b(b(x1)))) -> a#(a(b(x1))) ->
183.47/46.95	     a#(b(a(a(x1)))) -> b#(a(b(x1)))
183.47/46.95	     b#(b(b(b(x1)))) -> a#(a(b(x1))) -> a#(b(a(a(x1)))) -> a#(b(x1))
183.47/46.95	     b#(b(b(b(x1)))) -> a#(a(b(x1))) -> a#(b(a(a(x1)))) -> b#(x1)
183.47/46.95	     b#(b(b(b(x1)))) -> a#(a(b(x1))) ->
183.47/46.95	     a#(b(b(b(x1)))) -> a#(a(a(b(x1))))
183.47/46.95	     b#(b(b(b(x1)))) -> a#(a(b(x1))) ->
183.47/46.95	     a#(b(b(b(x1)))) -> a#(a(b(x1)))
183.47/46.95	     b#(b(b(b(x1)))) -> a#(a(b(x1))) ->
183.47/46.95	     a#(b(b(b(x1)))) -> a#(b(x1))
183.47/46.95	     b#(a(a(b(x1)))) -> b#(a(a(a(x1)))) ->
183.47/46.95	     b#(a(a(b(x1)))) -> b#(a(a(a(x1))))
183.47/46.95	     b#(a(a(b(x1)))) -> b#(a(a(a(x1)))) ->
183.47/46.95	     b#(a(a(b(x1)))) -> a#(a(a(x1)))
183.47/46.95	     b#(a(a(b(x1)))) -> b#(a(a(a(x1)))) ->
183.47/46.95	     b#(a(a(b(x1)))) -> a#(a(x1))
183.47/46.95	     b#(a(a(b(x1)))) -> b#(a(a(a(x1)))) ->
183.47/46.95	     b#(a(a(b(x1)))) -> a#(x1)
183.47/46.95	     b#(a(a(b(x1)))) -> b#(a(a(a(x1)))) ->
183.47/46.95	     b#(b(b(b(x1)))) -> b#(a(a(b(x1))))
183.47/46.95	     b#(a(a(b(x1)))) -> b#(a(a(a(x1)))) ->
183.47/46.95	     b#(b(b(b(x1)))) -> a#(a(b(x1)))
183.47/46.95	     b#(a(a(b(x1)))) -> b#(a(a(a(x1)))) ->
183.47/46.95	     b#(b(b(b(x1)))) -> a#(b(x1))
183.47/46.95	     b#(a(a(b(x1)))) -> a#(a(a(x1))) ->
183.47/46.95	     a#(b(a(a(x1)))) -> a#(b(a(b(x1))))
183.47/46.95	     b#(a(a(b(x1)))) -> a#(a(a(x1))) ->
183.47/46.95	     a#(b(a(a(x1)))) -> b#(a(b(x1)))
183.47/46.95	     b#(a(a(b(x1)))) -> a#(a(a(x1))) -> a#(b(a(a(x1)))) -> a#(b(x1))
183.47/46.95	     b#(a(a(b(x1)))) -> a#(a(a(x1))) -> a#(b(a(a(x1)))) -> b#(x1)
183.47/46.95	     b#(a(a(b(x1)))) -> a#(a(a(x1))) ->
183.47/46.96	     a#(b(b(b(x1)))) -> a#(a(a(b(x1))))
183.47/46.96	     b#(a(a(b(x1)))) -> a#(a(a(x1))) ->
183.47/46.96	     a#(b(b(b(x1)))) -> a#(a(b(x1)))
183.47/46.96	     b#(a(a(b(x1)))) -> a#(a(a(x1))) -> a#(b(b(b(x1)))) -> a#(b(x1))
183.47/46.96	     b#(a(a(b(x1)))) -> a#(a(x1)) -> a#(b(a(a(x1)))) -> a#(b(a(b(x1))))
183.47/46.96	     b#(a(a(b(x1)))) -> a#(a(x1)) -> a#(b(a(a(x1)))) -> b#(a(b(x1)))
183.47/46.96	     b#(a(a(b(x1)))) -> a#(a(x1)) -> a#(b(a(a(x1)))) -> a#(b(x1))
183.47/46.96	     b#(a(a(b(x1)))) -> a#(a(x1)) -> a#(b(a(a(x1)))) -> b#(x1)
183.47/46.96	     b#(a(a(b(x1)))) -> a#(a(x1)) -> a#(b(b(b(x1)))) -> a#(a(a(b(x1))))
183.47/46.96	     b#(a(a(b(x1)))) -> a#(a(x1)) -> a#(b(b(b(x1)))) -> a#(a(b(x1)))
183.47/46.96	     b#(a(a(b(x1)))) -> a#(a(x1)) -> a#(b(b(b(x1)))) -> a#(b(x1))
183.47/46.96	     b#(a(a(b(x1)))) -> a#(x1) -> a#(b(a(a(x1)))) -> a#(b(a(b(x1))))
183.47/46.96	     b#(a(a(b(x1)))) -> a#(x1) -> a#(b(a(a(x1)))) -> b#(a(b(x1)))
183.47/46.96	     b#(a(a(b(x1)))) -> a#(x1) -> a#(b(a(a(x1)))) -> a#(b(x1))
183.47/46.96	     b#(a(a(b(x1)))) -> a#(x1) -> a#(b(a(a(x1)))) -> b#(x1)
183.47/46.96	     b#(a(a(b(x1)))) -> a#(x1) -> a#(b(b(b(x1)))) -> a#(a(a(b(x1))))
183.47/46.96	     b#(a(a(b(x1)))) -> a#(x1) -> a#(b(b(b(x1)))) -> a#(a(b(x1)))
183.47/46.96	     b#(a(a(b(x1)))) -> a#(x1) -> a#(b(b(b(x1)))) -> a#(b(x1))
183.47/46.96	     a#(b(b(b(x1)))) -> a#(b(x1)) -> a#(b(a(a(x1)))) -> a#(b(a(b(x1))))
183.47/46.96	     a#(b(b(b(x1)))) -> a#(b(x1)) -> a#(b(a(a(x1)))) -> b#(a(b(x1)))
183.47/46.96	     a#(b(b(b(x1)))) -> a#(b(x1)) -> a#(b(a(a(x1)))) -> a#(b(x1))
183.47/46.96	     a#(b(b(b(x1)))) -> a#(b(x1)) -> a#(b(a(a(x1)))) -> b#(x1)
183.47/46.96	     a#(b(b(b(x1)))) -> a#(b(x1)) -> a#(b(b(b(x1)))) -> a#(a(a(b(x1))))
183.47/46.96	     a#(b(b(b(x1)))) -> a#(b(x1)) -> a#(b(b(b(x1)))) -> a#(a(b(x1)))
183.47/46.96	     a#(b(b(b(x1)))) -> a#(b(x1)) -> a#(b(b(b(x1)))) -> a#(b(x1))
183.47/46.96	     a#(b(b(b(x1)))) -> a#(a(b(x1))) ->
183.47/46.96	     a#(b(a(a(x1)))) -> a#(b(a(b(x1))))
183.47/46.96	     a#(b(b(b(x1)))) -> a#(a(b(x1))) ->
183.47/46.96	     a#(b(a(a(x1)))) -> b#(a(b(x1)))
183.47/46.96	     a#(b(b(b(x1)))) -> a#(a(b(x1))) -> a#(b(a(a(x1)))) -> a#(b(x1))
183.47/46.96	     a#(b(b(b(x1)))) -> a#(a(b(x1))) -> a#(b(a(a(x1)))) -> b#(x1)
183.47/46.96	     a#(b(b(b(x1)))) -> a#(a(b(x1))) ->
183.47/46.96	     a#(b(b(b(x1)))) -> a#(a(a(b(x1))))
183.47/46.96	     a#(b(b(b(x1)))) -> a#(a(b(x1))) ->
183.47/46.96	     a#(b(b(b(x1)))) -> a#(a(b(x1)))
183.47/46.96	     a#(b(b(b(x1)))) -> a#(a(b(x1))) ->
183.47/46.96	     a#(b(b(b(x1)))) -> a#(b(x1))
183.47/46.96	     a#(b(b(b(x1)))) -> a#(a(a(b(x1)))) ->
183.47/46.96	     a#(b(a(a(x1)))) -> a#(b(a(b(x1))))
183.47/46.96	     a#(b(b(b(x1)))) -> a#(a(a(b(x1)))) ->
183.47/46.96	     a#(b(a(a(x1)))) -> b#(a(b(x1)))
183.47/46.96	     a#(b(b(b(x1)))) -> a#(a(a(b(x1)))) ->
183.47/46.96	     a#(b(a(a(x1)))) -> a#(b(x1))
183.47/46.96	     a#(b(b(b(x1)))) -> a#(a(a(b(x1)))) ->
183.47/46.96	     a#(b(a(a(x1)))) -> b#(x1)
183.47/46.96	     a#(b(b(b(x1)))) -> a#(a(a(b(x1)))) ->
183.47/46.96	     a#(b(b(b(x1)))) -> a#(a(a(b(x1))))
183.47/46.96	     a#(b(b(b(x1)))) -> a#(a(a(b(x1)))) ->
183.47/46.96	     a#(b(b(b(x1)))) -> a#(a(b(x1)))
183.47/46.96	     a#(b(b(b(x1)))) -> a#(a(a(b(x1)))) ->
183.47/46.96	     a#(b(b(b(x1)))) -> a#(b(x1))
183.47/46.96	     a#(b(a(a(x1)))) -> b#(a(b(x1))) ->
183.47/46.96	     b#(a(a(b(x1)))) -> b#(a(a(a(x1))))
183.47/46.96	     a#(b(a(a(x1)))) -> b#(a(b(x1))) ->
183.47/46.96	     b#(a(a(b(x1)))) -> a#(a(a(x1)))
183.47/46.96	     a#(b(a(a(x1)))) -> b#(a(b(x1))) -> b#(a(a(b(x1)))) -> a#(a(x1))
183.47/46.96	     a#(b(a(a(x1)))) -> b#(a(b(x1))) -> b#(a(a(b(x1)))) -> a#(x1)
183.47/46.96	     a#(b(a(a(x1)))) -> b#(a(b(x1))) ->
183.47/46.96	     b#(b(b(b(x1)))) -> b#(a(a(b(x1))))
183.47/46.96	     a#(b(a(a(x1)))) -> b#(a(b(x1))) ->
183.47/46.96	     b#(b(b(b(x1)))) -> a#(a(b(x1)))
183.47/46.96	     a#(b(a(a(x1)))) -> b#(a(b(x1))) -> b#(b(b(b(x1)))) -> a#(b(x1))
183.47/46.96	     a#(b(a(a(x1)))) -> b#(x1) -> b#(a(a(b(x1)))) -> b#(a(a(a(x1))))
183.47/46.96	     a#(b(a(a(x1)))) -> b#(x1) -> b#(a(a(b(x1)))) -> a#(a(a(x1)))
183.47/46.96	     a#(b(a(a(x1)))) -> b#(x1) -> b#(a(a(b(x1)))) -> a#(a(x1))
183.47/46.96	     a#(b(a(a(x1)))) -> b#(x1) -> b#(a(a(b(x1)))) -> a#(x1)
183.47/46.96	     a#(b(a(a(x1)))) -> b#(x1) -> b#(b(b(b(x1)))) -> b#(a(a(b(x1))))
183.47/46.96	     a#(b(a(a(x1)))) -> b#(x1) -> b#(b(b(b(x1)))) -> a#(a(b(x1)))
183.47/46.96	     a#(b(a(a(x1)))) -> b#(x1) -> b#(b(b(b(x1)))) -> a#(b(x1))
183.47/46.96	     a#(b(a(a(x1)))) -> a#(b(a(b(x1)))) ->
183.47/46.96	     a#(b(a(a(x1)))) -> a#(b(a(b(x1))))
183.47/46.96	     a#(b(a(a(x1)))) -> a#(b(a(b(x1)))) ->
183.47/46.96	     a#(b(a(a(x1)))) -> b#(a(b(x1)))
183.47/46.96	     a#(b(a(a(x1)))) -> a#(b(a(b(x1)))) ->
183.47/46.96	     a#(b(a(a(x1)))) -> a#(b(x1))
183.47/46.96	     a#(b(a(a(x1)))) -> a#(b(a(b(x1)))) ->
183.47/46.96	     a#(b(a(a(x1)))) -> b#(x1)
183.47/46.96	     a#(b(a(a(x1)))) -> a#(b(a(b(x1)))) ->
183.47/46.96	     a#(b(b(b(x1)))) -> a#(a(a(b(x1))))
183.47/46.96	     a#(b(a(a(x1)))) -> a#(b(a(b(x1)))) ->
183.47/46.98	     a#(b(b(b(x1)))) -> a#(a(b(x1)))
183.47/46.98	     a#(b(a(a(x1)))) -> a#(b(a(b(x1)))) -> a#(b(b(b(x1)))) -> a#(b(x1))
183.47/46.98	     a#(b(a(a(x1)))) -> a#(b(x1)) -> a#(b(a(a(x1)))) -> a#(b(a(b(x1))))
183.47/46.98	     a#(b(a(a(x1)))) -> a#(b(x1)) -> a#(b(a(a(x1)))) -> b#(a(b(x1)))
183.47/46.98	     a#(b(a(a(x1)))) -> a#(b(x1)) -> a#(b(a(a(x1)))) -> a#(b(x1))
183.47/46.98	     a#(b(a(a(x1)))) -> a#(b(x1)) -> a#(b(a(a(x1)))) -> b#(x1)
183.47/46.98	     a#(b(a(a(x1)))) -> a#(b(x1)) -> a#(b(b(b(x1)))) -> a#(a(a(b(x1))))
183.47/46.98	     a#(b(a(a(x1)))) -> a#(b(x1)) -> a#(b(b(b(x1)))) -> a#(a(b(x1)))
183.47/46.98	     a#(b(a(a(x1)))) -> a#(b(x1)) -> a#(b(b(b(x1)))) -> a#(b(x1))
183.47/46.98	    EDG Processor:
183.47/46.98	     DPs:
183.47/46.98	      a#(b(b(b(x1)))) -> a#(b(x1))
183.47/46.98	      a#(b(b(b(x1)))) -> a#(a(b(x1)))
183.47/46.98	      a#(b(b(b(x1)))) -> a#(a(a(b(x1))))
183.47/46.98	      b#(b(b(b(x1)))) -> a#(b(x1))
183.47/46.98	      b#(b(b(b(x1)))) -> a#(a(b(x1)))
183.47/46.98	      b#(b(b(b(x1)))) -> b#(a(a(b(x1))))
183.47/46.98	      a#(b(a(a(x1)))) -> b#(x1)
183.47/46.98	      a#(b(a(a(x1)))) -> a#(b(x1))
183.47/46.98	      a#(b(a(a(x1)))) -> b#(a(b(x1)))
183.47/46.98	      a#(b(a(a(x1)))) -> a#(b(a(b(x1))))
183.47/46.98	      b#(a(a(b(x1)))) -> a#(x1)
183.47/46.98	      b#(a(a(b(x1)))) -> a#(a(x1))
183.47/46.98	      b#(a(a(b(x1)))) -> a#(a(a(x1)))
183.47/46.98	      b#(a(a(b(x1)))) -> b#(a(a(a(x1))))
183.47/46.98	     TRS:
183.47/46.98	      a(b(b(b(x1)))) -> a(a(a(b(x1))))
183.47/46.98	      b(b(b(b(x1)))) -> b(a(a(b(x1))))
183.47/46.98	      a(b(a(a(x1)))) -> a(b(a(b(x1))))
183.47/46.98	      b(a(a(b(x1)))) -> b(a(a(a(x1))))
183.47/46.98	     graph:
183.47/46.98	      b#(b(b(b(x1)))) -> b#(a(a(b(x1)))) ->
183.47/46.98	      b#(a(a(b(x1)))) -> a#(x1)
183.47/46.98	      b#(b(b(b(x1)))) -> b#(a(a(b(x1)))) ->
183.47/46.98	      b#(a(a(b(x1)))) -> a#(a(x1))
183.47/46.98	      b#(b(b(b(x1)))) -> b#(a(a(b(x1)))) ->
183.47/46.98	      b#(a(a(b(x1)))) -> a#(a(a(x1)))
183.47/46.98	      b#(b(b(b(x1)))) -> b#(a(a(b(x1)))) ->
183.47/46.98	      b#(a(a(b(x1)))) -> b#(a(a(a(x1))))
183.47/46.98	      b#(b(b(b(x1)))) -> a#(b(x1)) -> a#(b(b(b(x1)))) -> a#(b(x1))
183.47/46.98	      b#(b(b(b(x1)))) -> a#(b(x1)) -> a#(b(b(b(x1)))) -> a#(a(b(x1)))
183.47/46.98	      b#(b(b(b(x1)))) -> a#(b(x1)) ->
183.47/46.98	      a#(b(b(b(x1)))) -> a#(a(a(b(x1))))
183.47/46.98	      b#(b(b(b(x1)))) -> a#(b(x1)) -> a#(b(a(a(x1)))) -> b#(x1)
183.47/46.98	      b#(b(b(b(x1)))) -> a#(b(x1)) -> a#(b(a(a(x1)))) -> a#(b(x1))
183.47/46.98	      b#(b(b(b(x1)))) -> a#(b(x1)) -> a#(b(a(a(x1)))) -> b#(a(b(x1)))
183.47/46.98	      b#(b(b(b(x1)))) -> a#(b(x1)) ->
183.47/46.98	      a#(b(a(a(x1)))) -> a#(b(a(b(x1))))
183.47/46.98	      b#(a(a(b(x1)))) -> b#(a(a(a(x1)))) ->
183.47/46.98	      b#(a(a(b(x1)))) -> a#(x1)
183.47/46.98	      b#(a(a(b(x1)))) -> b#(a(a(a(x1)))) ->
183.47/46.98	      b#(a(a(b(x1)))) -> a#(a(x1))
183.47/46.98	      b#(a(a(b(x1)))) -> b#(a(a(a(x1)))) ->
183.47/46.98	      b#(a(a(b(x1)))) -> a#(a(a(x1)))
183.47/46.98	      b#(a(a(b(x1)))) -> b#(a(a(a(x1)))) ->
183.47/46.98	      b#(a(a(b(x1)))) -> b#(a(a(a(x1))))
183.47/46.98	      b#(a(a(b(x1)))) -> a#(x1) -> a#(b(b(b(x1)))) -> a#(b(x1))
183.47/46.98	      b#(a(a(b(x1)))) -> a#(x1) -> a#(b(b(b(x1)))) -> a#(a(b(x1)))
183.47/46.98	      b#(a(a(b(x1)))) -> a#(x1) -> a#(b(b(b(x1)))) -> a#(a(a(b(x1))))
183.47/46.98	      b#(a(a(b(x1)))) -> a#(x1) -> a#(b(a(a(x1)))) -> b#(x1)
183.47/46.98	      b#(a(a(b(x1)))) -> a#(x1) -> a#(b(a(a(x1)))) -> a#(b(x1))
183.47/46.98	      b#(a(a(b(x1)))) -> a#(x1) -> a#(b(a(a(x1)))) -> b#(a(b(x1)))
183.47/46.98	      b#(a(a(b(x1)))) -> a#(x1) -> a#(b(a(a(x1)))) -> a#(b(a(b(x1))))
183.47/46.98	      a#(b(b(b(x1)))) -> a#(b(x1)) -> a#(b(b(b(x1)))) -> a#(b(x1))
183.47/46.98	      a#(b(b(b(x1)))) -> a#(b(x1)) -> a#(b(b(b(x1)))) -> a#(a(b(x1)))
183.47/46.98	      a#(b(b(b(x1)))) -> a#(b(x1)) ->
183.47/46.98	      a#(b(b(b(x1)))) -> a#(a(a(b(x1))))
183.47/46.98	      a#(b(b(b(x1)))) -> a#(b(x1)) -> a#(b(a(a(x1)))) -> b#(x1)
183.47/46.98	      a#(b(b(b(x1)))) -> a#(b(x1)) -> a#(b(a(a(x1)))) -> a#(b(x1))
183.47/46.98	      a#(b(b(b(x1)))) -> a#(b(x1)) -> a#(b(a(a(x1)))) -> b#(a(b(x1)))
183.47/46.98	      a#(b(b(b(x1)))) -> a#(b(x1)) ->
183.47/46.98	      a#(b(a(a(x1)))) -> a#(b(a(b(x1))))
183.47/46.98	      a#(b(a(a(x1)))) -> b#(a(b(x1))) -> b#(a(a(b(x1)))) -> a#(x1)
183.47/46.98	      a#(b(a(a(x1)))) -> b#(a(b(x1))) ->
183.47/46.98	      b#(a(a(b(x1)))) -> a#(a(x1))
183.47/46.98	      a#(b(a(a(x1)))) -> b#(a(b(x1))) ->
183.47/46.98	      b#(a(a(b(x1)))) -> a#(a(a(x1)))
183.47/46.98	      a#(b(a(a(x1)))) -> b#(a(b(x1))) ->
183.47/46.98	      b#(a(a(b(x1)))) -> b#(a(a(a(x1))))
183.47/46.98	      a#(b(a(a(x1)))) -> b#(x1) -> b#(b(b(b(x1)))) -> a#(b(x1))
183.47/46.98	      a#(b(a(a(x1)))) -> b#(x1) -> b#(b(b(b(x1)))) -> a#(a(b(x1)))
183.47/46.98	      a#(b(a(a(x1)))) -> b#(x1) -> b#(b(b(b(x1)))) -> b#(a(a(b(x1))))
183.47/46.98	      a#(b(a(a(x1)))) -> b#(x1) -> b#(a(a(b(x1)))) -> a#(x1)
183.47/46.98	      a#(b(a(a(x1)))) -> b#(x1) -> b#(a(a(b(x1)))) -> a#(a(x1))
183.47/46.98	      a#(b(a(a(x1)))) -> b#(x1) -> b#(a(a(b(x1)))) -> a#(a(a(x1)))
183.47/46.99	      a#(b(a(a(x1)))) -> b#(x1) ->
183.47/46.99	      b#(a(a(b(x1)))) -> b#(a(a(a(x1))))
183.47/46.99	      a#(b(a(a(x1)))) -> a#(b(a(b(x1)))) ->
183.47/46.99	      a#(b(b(b(x1)))) -> a#(b(x1))
183.47/46.99	      a#(b(a(a(x1)))) -> a#(b(a(b(x1)))) ->
183.47/46.99	      a#(b(b(b(x1)))) -> a#(a(b(x1)))
183.47/46.99	      a#(b(a(a(x1)))) -> a#(b(a(b(x1)))) ->
183.47/46.99	      a#(b(b(b(x1)))) -> a#(a(a(b(x1))))
183.47/46.99	      a#(b(a(a(x1)))) -> a#(b(a(b(x1)))) ->
183.47/46.99	      a#(b(a(a(x1)))) -> b#(x1)
183.47/46.99	      a#(b(a(a(x1)))) -> a#(b(a(b(x1)))) ->
183.47/46.99	      a#(b(a(a(x1)))) -> a#(b(x1))
183.47/46.99	      a#(b(a(a(x1)))) -> a#(b(a(b(x1)))) ->
183.47/46.99	      a#(b(a(a(x1)))) -> b#(a(b(x1)))
183.47/46.99	      a#(b(a(a(x1)))) -> a#(b(a(b(x1)))) ->
183.47/46.99	      a#(b(a(a(x1)))) -> a#(b(a(b(x1))))
183.47/46.99	      a#(b(a(a(x1)))) -> a#(b(x1)) -> a#(b(b(b(x1)))) -> a#(b(x1))
183.47/46.99	      a#(b(a(a(x1)))) -> a#(b(x1)) -> a#(b(b(b(x1)))) -> a#(a(b(x1)))
183.47/46.99	      a#(b(a(a(x1)))) -> a#(b(x1)) ->
183.47/46.99	      a#(b(b(b(x1)))) -> a#(a(a(b(x1))))
183.47/46.99	      a#(b(a(a(x1)))) -> a#(b(x1)) -> a#(b(a(a(x1)))) -> b#(x1)
183.47/46.99	      a#(b(a(a(x1)))) -> a#(b(x1)) -> a#(b(a(a(x1)))) -> a#(b(x1))
183.47/46.99	      a#(b(a(a(x1)))) -> a#(b(x1)) -> a#(b(a(a(x1)))) -> b#(a(b(x1)))
183.47/46.99	      a#(b(a(a(x1)))) -> a#(b(x1)) -> a#(b(a(a(x1)))) -> a#(b(a(b(x1))))
183.47/46.99	     SCC Processor:
183.47/46.99	      #sccs: 1
183.47/46.99	      #rules: 9
183.47/46.99	      #arcs: 54/196
183.47/46.99	      DPs:
183.47/46.99	       b#(b(b(b(x1)))) -> b#(a(a(b(x1))))
183.47/46.99	       b#(a(a(b(x1)))) -> b#(a(a(a(x1))))
183.47/46.99	       b#(a(a(b(x1)))) -> a#(x1)
183.47/46.99	       a#(b(a(a(x1)))) -> a#(b(a(b(x1))))
183.47/46.99	       a#(b(a(a(x1)))) -> b#(a(b(x1)))
183.47/46.99	       a#(b(a(a(x1)))) -> a#(b(x1))
183.47/46.99	       a#(b(a(a(x1)))) -> b#(x1)
183.47/46.99	       b#(b(b(b(x1)))) -> a#(b(x1))
183.47/46.99	       a#(b(b(b(x1)))) -> a#(b(x1))
183.47/46.99	      TRS:
183.47/46.99	       a(b(b(b(x1)))) -> a(a(a(b(x1))))
183.47/46.99	       b(b(b(b(x1)))) -> b(a(a(b(x1))))
183.47/46.99	       a(b(a(a(x1)))) -> a(b(a(b(x1))))
183.47/46.99	       b(a(a(b(x1)))) -> b(a(a(a(x1))))
183.47/46.99	      Arctic Interpretation Processor:
183.47/46.99	       dimension: 1
183.47/46.99	       usable rules:
183.47/46.99	        a(b(b(b(x1)))) -> a(a(a(b(x1))))
183.47/46.99	        b(b(b(b(x1)))) -> b(a(a(b(x1))))
183.47/46.99	        a(b(a(a(x1)))) -> a(b(a(b(x1))))
183.47/46.99	        b(a(a(b(x1)))) -> b(a(a(a(x1))))
183.47/46.99	       interpretation:
183.47/46.99	        [b#](x0) = 1x0,
183.47/46.99	        
183.47/46.99	        [a#](x0) = x0,
183.47/46.99	        
183.47/46.99	        [b](x0) = 4x0,
183.47/46.99	        
183.47/46.99	        [a](x0) = 4x0
183.47/46.99	       orientation:
183.47/46.99	        b#(b(b(b(x1)))) = 13x1 >= 13x1 = b#(a(a(b(x1))))
183.47/46.99	        
183.47/46.99	        b#(a(a(b(x1)))) = 13x1 >= 13x1 = b#(a(a(a(x1))))
183.47/46.99	        
183.47/46.99	        b#(a(a(b(x1)))) = 13x1 >= x1 = a#(x1)
183.47/46.99	        
183.47/46.99	        a#(b(a(a(x1)))) = 12x1 >= 12x1 = a#(b(a(b(x1))))
183.47/46.99	        
183.47/46.99	        a#(b(a(a(x1)))) = 12x1 >= 9x1 = b#(a(b(x1)))
183.47/46.99	        
183.47/46.99	        a#(b(a(a(x1)))) = 12x1 >= 4x1 = a#(b(x1))
183.47/46.99	        
183.47/46.99	        a#(b(a(a(x1)))) = 12x1 >= 1x1 = b#(x1)
183.47/46.99	        
183.47/46.99	        b#(b(b(b(x1)))) = 13x1 >= 4x1 = a#(b(x1))
183.47/46.99	        
183.47/46.99	        a#(b(b(b(x1)))) = 12x1 >= 4x1 = a#(b(x1))
183.47/46.99	        
183.47/46.99	        a(b(b(b(x1)))) = 16x1 >= 16x1 = a(a(a(b(x1))))
183.47/46.99	        
183.47/46.99	        b(b(b(b(x1)))) = 16x1 >= 16x1 = b(a(a(b(x1))))
183.47/46.99	        
183.47/46.99	        a(b(a(a(x1)))) = 16x1 >= 16x1 = a(b(a(b(x1))))
183.47/46.99	        
183.47/46.99	        b(a(a(b(x1)))) = 16x1 >= 16x1 = b(a(a(a(x1))))
183.47/46.99	       problem:
183.47/46.99	        DPs:
183.47/46.99	         b#(b(b(b(x1)))) -> b#(a(a(b(x1))))
183.47/46.99	         b#(a(a(b(x1)))) -> b#(a(a(a(x1))))
183.47/46.99	         a#(b(a(a(x1)))) -> a#(b(a(b(x1))))
183.47/46.99	        TRS:
183.47/46.99	         a(b(b(b(x1)))) -> a(a(a(b(x1))))
183.47/46.99	         b(b(b(b(x1)))) -> b(a(a(b(x1))))
183.47/46.99	         a(b(a(a(x1)))) -> a(b(a(b(x1))))
183.47/46.99	         b(a(a(b(x1)))) -> b(a(a(a(x1))))
183.47/46.99	       Restore Modifier:
183.47/46.99	        DPs:
183.47/46.99	         b#(b(b(b(x1)))) -> b#(a(a(b(x1))))
183.47/46.99	         b#(a(a(b(x1)))) -> b#(a(a(a(x1))))
183.47/46.99	         a#(b(a(a(x1)))) -> a#(b(a(b(x1))))
183.47/46.99	        TRS:
183.47/46.99	         a(b(b(b(x1)))) -> a(a(a(b(x1))))
183.47/46.99	         b(b(b(b(x1)))) -> b(a(a(b(x1))))
183.47/46.99	         a(b(a(a(x1)))) -> a(b(a(b(x1))))
183.47/46.99	         b(a(a(b(x1)))) -> b(a(a(a(x1))))
183.47/46.99	        EDG Processor:
183.47/46.99	         DPs:
183.47/46.99	          b#(b(b(b(x1)))) -> b#(a(a(b(x1))))
183.47/46.99	          b#(a(a(b(x1)))) -> b#(a(a(a(x1))))
183.47/46.99	          a#(b(a(a(x1)))) -> a#(b(a(b(x1))))
183.47/46.99	         TRS:
183.47/46.99	          a(b(b(b(x1)))) -> a(a(a(b(x1))))
183.47/46.99	          b(b(b(b(x1)))) -> b(a(a(b(x1))))
183.47/46.99	          a(b(a(a(x1)))) -> a(b(a(b(x1))))
183.47/46.99	          b(a(a(b(x1)))) -> b(a(a(a(x1))))
183.47/46.99	         graph:
183.47/46.99	          b#(b(b(b(x1)))) -> b#(a(a(b(x1)))) ->
183.47/46.99	          b#(a(a(b(x1)))) -> b#(a(a(a(x1))))
183.65/46.99	          b#(a(a(b(x1)))) -> b#(a(a(a(x1)))) ->
183.65/46.99	          b#(a(a(b(x1)))) -> b#(a(a(a(x1))))
183.65/46.99	          a#(b(a(a(x1)))) -> a#(b(a(b(x1)))) -> a#(b(a(a(x1)))) -> a#(b(a(b(x1))))
183.65/46.99	         SCC Processor:
183.65/46.99	          #sccs: 2
183.65/46.99	          #rules: 2
183.65/46.99	          #arcs: 3/9
183.65/46.99	          DPs:
183.65/46.99	           a#(b(a(a(x1)))) -> a#(b(a(b(x1))))
183.65/46.99	          TRS:
183.65/46.99	           a(b(b(b(x1)))) -> a(a(a(b(x1))))
183.65/46.99	           b(b(b(b(x1)))) -> b(a(a(b(x1))))
183.65/46.99	           a(b(a(a(x1)))) -> a(b(a(b(x1))))
183.65/46.99	           b(a(a(b(x1)))) -> b(a(a(a(x1))))
183.65/46.99	          Matrix Interpretation Processor: dim=3
183.65/46.99	           
183.65/46.99	           interpretation:
183.65/46.99	            [a#](x0) = [1 0 0]x0,
183.65/46.99	            
183.65/46.99	                      [1 0 1]     [0]
183.65/46.99	            [b](x0) = [0 0 1]x0 + [0]
183.65/46.99	                      [0 0 0]     [1],
183.65/46.99	            
183.65/46.99	                      [0 1 0]     [0]
183.65/46.99	            [a](x0) = [0 0 1]x0 + [1]
183.65/46.99	                      [0 0 0]     [0]
183.65/46.99	           orientation:
183.65/46.99	            a#(b(a(a(x1)))) = [0 0 1]x1 + [1] >= [0 0 1]x1 = a#(b(a(b(x1))))
183.65/46.99	            
183.65/46.99	                             [1]    [1]                 
183.65/46.99	            a(b(b(b(x1)))) = [2] >= [1] = a(a(a(b(x1))))
183.65/46.99	                             [0]    [0]                 
183.65/46.99	            
183.65/46.99	                             [1 0 1]     [3]    [2]                 
183.65/46.99	            b(b(b(b(x1)))) = [0 0 0]x1 + [1] >= [0] = b(a(a(b(x1))))
183.65/46.99	                             [0 0 0]     [1]    [1]                 
183.65/46.99	            
183.65/46.99	                             [0]    [0]                 
183.65/46.99	            a(b(a(a(x1)))) = [2] >= [2] = a(b(a(b(x1))))
183.65/46.99	                             [0]    [0]                 
183.65/46.99	            
183.65/46.99	                             [2]    [1]                 
183.65/46.99	            b(a(a(b(x1)))) = [0] >= [0] = b(a(a(a(x1))))
183.65/46.99	                             [1]    [1]                 
183.65/46.99	           problem:
183.65/46.99	            DPs:
183.65/46.99	             
183.65/46.99	            TRS:
183.65/46.99	             a(b(b(b(x1)))) -> a(a(a(b(x1))))
183.65/46.99	             b(b(b(b(x1)))) -> b(a(a(b(x1))))
183.65/46.99	             a(b(a(a(x1)))) -> a(b(a(b(x1))))
183.65/46.99	             b(a(a(b(x1)))) -> b(a(a(a(x1))))
183.65/46.99	           Qed
183.65/46.99	          
183.65/46.99	          DPs:
183.65/46.99	           b#(a(a(b(x1)))) -> b#(a(a(a(x1))))
183.65/46.99	          TRS:
183.65/46.99	           a(b(b(b(x1)))) -> a(a(a(b(x1))))
183.65/46.99	           b(b(b(b(x1)))) -> b(a(a(b(x1))))
183.65/46.99	           a(b(a(a(x1)))) -> a(b(a(b(x1))))
183.65/46.99	           b(a(a(b(x1)))) -> b(a(a(a(x1))))
183.65/46.99	          Bounds Processor:
183.65/46.99	           bound: 0
183.65/46.99	           enrichment: match-dp
183.65/46.99	           automaton:
183.65/46.99	            final states: {4}
183.65/46.99	            transitions:
183.65/46.99	             b{#,0}(7) -> 4*
183.65/46.99	             a0(5) -> 6*
183.65/46.99	             a0(2) -> 2*
183.65/46.99	             a0(6) -> 7*
183.65/46.99	             a0(1) -> 2*
183.65/46.99	             a0(3) -> 5*
183.65/46.99	             b0(2) -> 1*
183.65/46.99	             b0(1) -> 1*
183.65/46.99	             1 -> 3*
183.65/46.99	             2 -> 3*
183.65/46.99	           problem:
183.65/46.99	            DPs:
183.65/46.99	             
183.65/46.99	            TRS:
183.65/46.99	             a(b(b(b(x1)))) -> a(a(a(b(x1))))
183.65/46.99	             b(b(b(b(x1)))) -> b(a(a(b(x1))))
183.65/46.99	             a(b(a(a(x1)))) -> a(b(a(b(x1))))
183.65/46.99	             b(a(a(b(x1)))) -> b(a(a(a(x1))))
183.65/46.99	           Qed
183.65/47.00	EOF