174.57/44.61	YES
174.57/44.63	
174.57/44.63	Problem:
174.57/44.63	 a(a(a(a(x1)))) -> b(a(b(b(x1))))
174.57/44.63	 b(b(a(a(x1)))) -> a(a(b(b(x1))))
174.57/44.63	 b(a(b(b(x1)))) -> a(a(b(b(x1))))
174.57/44.63	
174.57/44.63	Proof:
174.57/44.63	 String Reversal Processor:
174.57/44.63	  a(a(a(a(x1)))) -> b(b(a(b(x1))))
174.57/44.63	  a(a(b(b(x1)))) -> b(b(a(a(x1))))
174.57/44.63	  b(b(a(b(x1)))) -> b(b(a(a(x1))))
174.57/44.63	  DP Processor:
174.57/44.63	   DPs:
174.57/44.63	    a#(a(a(a(x1)))) -> b#(x1)
174.57/44.63	    a#(a(a(a(x1)))) -> a#(b(x1))
174.57/44.63	    a#(a(a(a(x1)))) -> b#(a(b(x1)))
174.57/44.63	    a#(a(a(a(x1)))) -> b#(b(a(b(x1))))
174.57/44.63	    a#(a(b(b(x1)))) -> a#(x1)
174.57/44.63	    a#(a(b(b(x1)))) -> a#(a(x1))
174.57/44.63	    a#(a(b(b(x1)))) -> b#(a(a(x1)))
174.57/44.63	    a#(a(b(b(x1)))) -> b#(b(a(a(x1))))
174.57/44.63	    b#(b(a(b(x1)))) -> a#(x1)
174.57/44.63	    b#(b(a(b(x1)))) -> a#(a(x1))
174.57/44.63	    b#(b(a(b(x1)))) -> b#(a(a(x1)))
174.57/44.63	    b#(b(a(b(x1)))) -> b#(b(a(a(x1))))
174.57/44.63	   TRS:
174.57/44.63	    a(a(a(a(x1)))) -> b(b(a(b(x1))))
174.57/44.63	    a(a(b(b(x1)))) -> b(b(a(a(x1))))
174.57/44.63	    b(b(a(b(x1)))) -> b(b(a(a(x1))))
174.57/44.63	   TDG Processor:
174.57/44.63	    DPs:
174.57/44.63	     a#(a(a(a(x1)))) -> b#(x1)
174.57/44.63	     a#(a(a(a(x1)))) -> a#(b(x1))
174.57/44.63	     a#(a(a(a(x1)))) -> b#(a(b(x1)))
174.57/44.63	     a#(a(a(a(x1)))) -> b#(b(a(b(x1))))
174.57/44.63	     a#(a(b(b(x1)))) -> a#(x1)
174.57/44.63	     a#(a(b(b(x1)))) -> a#(a(x1))
174.57/44.63	     a#(a(b(b(x1)))) -> b#(a(a(x1)))
174.57/44.63	     a#(a(b(b(x1)))) -> b#(b(a(a(x1))))
174.57/44.63	     b#(b(a(b(x1)))) -> a#(x1)
174.57/44.63	     b#(b(a(b(x1)))) -> a#(a(x1))
174.57/44.63	     b#(b(a(b(x1)))) -> b#(a(a(x1)))
174.57/44.63	     b#(b(a(b(x1)))) -> b#(b(a(a(x1))))
174.57/44.63	    TRS:
174.57/44.63	     a(a(a(a(x1)))) -> b(b(a(b(x1))))
174.57/44.63	     a(a(b(b(x1)))) -> b(b(a(a(x1))))
174.57/44.63	     b(b(a(b(x1)))) -> b(b(a(a(x1))))
174.57/44.63	    graph:
174.57/44.63	     b#(b(a(b(x1)))) -> b#(b(a(a(x1)))) ->
174.57/44.63	     b#(b(a(b(x1)))) -> b#(b(a(a(x1))))
174.57/44.63	     b#(b(a(b(x1)))) -> b#(b(a(a(x1)))) ->
174.57/44.63	     b#(b(a(b(x1)))) -> b#(a(a(x1)))
174.57/44.63	     b#(b(a(b(x1)))) -> b#(b(a(a(x1)))) ->
174.57/44.63	     b#(b(a(b(x1)))) -> a#(a(x1))
174.57/44.63	     b#(b(a(b(x1)))) -> b#(b(a(a(x1)))) -> b#(b(a(b(x1)))) -> a#(x1)
174.57/44.63	     b#(b(a(b(x1)))) -> b#(a(a(x1))) ->
174.57/44.63	     b#(b(a(b(x1)))) -> b#(b(a(a(x1))))
174.57/44.63	     b#(b(a(b(x1)))) -> b#(a(a(x1))) ->
174.57/44.63	     b#(b(a(b(x1)))) -> b#(a(a(x1)))
174.57/44.63	     b#(b(a(b(x1)))) -> b#(a(a(x1))) -> b#(b(a(b(x1)))) -> a#(a(x1))
174.57/44.63	     b#(b(a(b(x1)))) -> b#(a(a(x1))) -> b#(b(a(b(x1)))) -> a#(x1)
174.57/44.63	     b#(b(a(b(x1)))) -> a#(a(x1)) -> a#(a(b(b(x1)))) -> b#(b(a(a(x1))))
174.57/44.63	     b#(b(a(b(x1)))) -> a#(a(x1)) -> a#(a(b(b(x1)))) -> b#(a(a(x1)))
174.57/44.63	     b#(b(a(b(x1)))) -> a#(a(x1)) -> a#(a(b(b(x1)))) -> a#(a(x1))
174.57/44.63	     b#(b(a(b(x1)))) -> a#(a(x1)) -> a#(a(b(b(x1)))) -> a#(x1)
174.57/44.63	     b#(b(a(b(x1)))) -> a#(a(x1)) -> a#(a(a(a(x1)))) -> b#(b(a(b(x1))))
174.57/44.63	     b#(b(a(b(x1)))) -> a#(a(x1)) -> a#(a(a(a(x1)))) -> b#(a(b(x1)))
174.57/44.63	     b#(b(a(b(x1)))) -> a#(a(x1)) -> a#(a(a(a(x1)))) -> a#(b(x1))
174.57/44.63	     b#(b(a(b(x1)))) -> a#(a(x1)) -> a#(a(a(a(x1)))) -> b#(x1)
174.57/44.63	     b#(b(a(b(x1)))) -> a#(x1) -> a#(a(b(b(x1)))) -> b#(b(a(a(x1))))
174.57/44.63	     b#(b(a(b(x1)))) -> a#(x1) -> a#(a(b(b(x1)))) -> b#(a(a(x1)))
174.57/44.63	     b#(b(a(b(x1)))) -> a#(x1) -> a#(a(b(b(x1)))) -> a#(a(x1))
174.57/44.63	     b#(b(a(b(x1)))) -> a#(x1) -> a#(a(b(b(x1)))) -> a#(x1)
174.57/44.63	     b#(b(a(b(x1)))) -> a#(x1) -> a#(a(a(a(x1)))) -> b#(b(a(b(x1))))
174.57/44.63	     b#(b(a(b(x1)))) -> a#(x1) -> a#(a(a(a(x1)))) -> b#(a(b(x1)))
174.57/44.63	     b#(b(a(b(x1)))) -> a#(x1) -> a#(a(a(a(x1)))) -> a#(b(x1))
174.57/44.63	     b#(b(a(b(x1)))) -> a#(x1) -> a#(a(a(a(x1)))) -> b#(x1)
174.57/44.63	     a#(a(b(b(x1)))) -> b#(b(a(a(x1)))) ->
174.57/44.63	     b#(b(a(b(x1)))) -> b#(b(a(a(x1))))
174.57/44.63	     a#(a(b(b(x1)))) -> b#(b(a(a(x1)))) ->
174.57/44.63	     b#(b(a(b(x1)))) -> b#(a(a(x1)))
174.57/44.63	     a#(a(b(b(x1)))) -> b#(b(a(a(x1)))) ->
174.57/44.63	     b#(b(a(b(x1)))) -> a#(a(x1))
174.57/44.63	     a#(a(b(b(x1)))) -> b#(b(a(a(x1)))) -> b#(b(a(b(x1)))) -> a#(x1)
174.57/44.63	     a#(a(b(b(x1)))) -> b#(a(a(x1))) ->
174.57/44.63	     b#(b(a(b(x1)))) -> b#(b(a(a(x1))))
174.57/44.63	     a#(a(b(b(x1)))) -> b#(a(a(x1))) ->
174.57/44.63	     b#(b(a(b(x1)))) -> b#(a(a(x1)))
174.57/44.63	     a#(a(b(b(x1)))) -> b#(a(a(x1))) -> b#(b(a(b(x1)))) -> a#(a(x1))
174.57/44.63	     a#(a(b(b(x1)))) -> b#(a(a(x1))) -> b#(b(a(b(x1)))) -> a#(x1)
174.57/44.63	     a#(a(b(b(x1)))) -> a#(a(x1)) -> a#(a(b(b(x1)))) -> b#(b(a(a(x1))))
174.57/44.63	     a#(a(b(b(x1)))) -> a#(a(x1)) -> a#(a(b(b(x1)))) -> b#(a(a(x1)))
174.57/44.63	     a#(a(b(b(x1)))) -> a#(a(x1)) -> a#(a(b(b(x1)))) -> a#(a(x1))
174.57/44.63	     a#(a(b(b(x1)))) -> a#(a(x1)) -> a#(a(b(b(x1)))) -> a#(x1)
174.57/44.63	     a#(a(b(b(x1)))) -> a#(a(x1)) -> a#(a(a(a(x1)))) -> b#(b(a(b(x1))))
174.57/44.63	     a#(a(b(b(x1)))) -> a#(a(x1)) -> a#(a(a(a(x1)))) -> b#(a(b(x1)))
174.57/44.63	     a#(a(b(b(x1)))) -> a#(a(x1)) -> a#(a(a(a(x1)))) -> a#(b(x1))
174.57/44.64	     a#(a(b(b(x1)))) -> a#(a(x1)) -> a#(a(a(a(x1)))) -> b#(x1)
174.57/44.64	     a#(a(b(b(x1)))) -> a#(x1) -> a#(a(b(b(x1)))) -> b#(b(a(a(x1))))
174.57/44.64	     a#(a(b(b(x1)))) -> a#(x1) -> a#(a(b(b(x1)))) -> b#(a(a(x1)))
174.57/44.64	     a#(a(b(b(x1)))) -> a#(x1) -> a#(a(b(b(x1)))) -> a#(a(x1))
174.57/44.64	     a#(a(b(b(x1)))) -> a#(x1) -> a#(a(b(b(x1)))) -> a#(x1)
174.57/44.64	     a#(a(b(b(x1)))) -> a#(x1) -> a#(a(a(a(x1)))) -> b#(b(a(b(x1))))
174.57/44.64	     a#(a(b(b(x1)))) -> a#(x1) -> a#(a(a(a(x1)))) -> b#(a(b(x1)))
174.57/44.64	     a#(a(b(b(x1)))) -> a#(x1) -> a#(a(a(a(x1)))) -> a#(b(x1))
174.57/44.64	     a#(a(b(b(x1)))) -> a#(x1) -> a#(a(a(a(x1)))) -> b#(x1)
174.57/44.64	     a#(a(a(a(x1)))) -> b#(b(a(b(x1)))) ->
174.57/44.64	     b#(b(a(b(x1)))) -> b#(b(a(a(x1))))
174.57/44.64	     a#(a(a(a(x1)))) -> b#(b(a(b(x1)))) ->
174.57/44.64	     b#(b(a(b(x1)))) -> b#(a(a(x1)))
174.57/44.64	     a#(a(a(a(x1)))) -> b#(b(a(b(x1)))) ->
174.57/44.64	     b#(b(a(b(x1)))) -> a#(a(x1))
174.57/44.64	     a#(a(a(a(x1)))) -> b#(b(a(b(x1)))) -> b#(b(a(b(x1)))) -> a#(x1)
174.57/44.64	     a#(a(a(a(x1)))) -> b#(a(b(x1))) ->
174.57/44.64	     b#(b(a(b(x1)))) -> b#(b(a(a(x1))))
174.57/44.64	     a#(a(a(a(x1)))) -> b#(a(b(x1))) ->
174.57/44.64	     b#(b(a(b(x1)))) -> b#(a(a(x1)))
174.57/44.64	     a#(a(a(a(x1)))) -> b#(a(b(x1))) -> b#(b(a(b(x1)))) -> a#(a(x1))
174.57/44.64	     a#(a(a(a(x1)))) -> b#(a(b(x1))) -> b#(b(a(b(x1)))) -> a#(x1)
174.57/44.64	     a#(a(a(a(x1)))) -> b#(x1) -> b#(b(a(b(x1)))) -> b#(b(a(a(x1))))
174.57/44.64	     a#(a(a(a(x1)))) -> b#(x1) -> b#(b(a(b(x1)))) -> b#(a(a(x1)))
174.57/44.64	     a#(a(a(a(x1)))) -> b#(x1) -> b#(b(a(b(x1)))) -> a#(a(x1))
174.57/44.64	     a#(a(a(a(x1)))) -> b#(x1) -> b#(b(a(b(x1)))) -> a#(x1)
174.57/44.64	     a#(a(a(a(x1)))) -> a#(b(x1)) -> a#(a(b(b(x1)))) -> b#(b(a(a(x1))))
174.57/44.64	     a#(a(a(a(x1)))) -> a#(b(x1)) -> a#(a(b(b(x1)))) -> b#(a(a(x1)))
174.57/44.64	     a#(a(a(a(x1)))) -> a#(b(x1)) -> a#(a(b(b(x1)))) -> a#(a(x1))
174.57/44.64	     a#(a(a(a(x1)))) -> a#(b(x1)) -> a#(a(b(b(x1)))) -> a#(x1)
174.57/44.64	     a#(a(a(a(x1)))) -> a#(b(x1)) -> a#(a(a(a(x1)))) -> b#(b(a(b(x1))))
174.57/44.64	     a#(a(a(a(x1)))) -> a#(b(x1)) -> a#(a(a(a(x1)))) -> b#(a(b(x1)))
174.57/44.64	     a#(a(a(a(x1)))) -> a#(b(x1)) -> a#(a(a(a(x1)))) -> a#(b(x1))
174.57/44.64	     a#(a(a(a(x1)))) -> a#(b(x1)) -> a#(a(a(a(x1)))) -> b#(x1)
174.57/44.64	    EDG Processor:
174.57/44.64	     DPs:
174.57/44.64	      a#(a(a(a(x1)))) -> b#(x1)
174.57/44.64	      a#(a(a(a(x1)))) -> a#(b(x1))
174.57/44.64	      a#(a(a(a(x1)))) -> b#(a(b(x1)))
174.57/44.64	      a#(a(a(a(x1)))) -> b#(b(a(b(x1))))
174.57/44.64	      a#(a(b(b(x1)))) -> a#(x1)
174.57/44.64	      a#(a(b(b(x1)))) -> a#(a(x1))
174.57/44.64	      a#(a(b(b(x1)))) -> b#(a(a(x1)))
174.57/44.64	      a#(a(b(b(x1)))) -> b#(b(a(a(x1))))
174.57/44.64	      b#(b(a(b(x1)))) -> a#(x1)
174.57/44.64	      b#(b(a(b(x1)))) -> a#(a(x1))
174.57/44.64	      b#(b(a(b(x1)))) -> b#(a(a(x1)))
174.57/44.64	      b#(b(a(b(x1)))) -> b#(b(a(a(x1))))
174.57/44.64	     TRS:
174.57/44.64	      a(a(a(a(x1)))) -> b(b(a(b(x1))))
174.57/44.64	      a(a(b(b(x1)))) -> b(b(a(a(x1))))
174.57/44.64	      b(b(a(b(x1)))) -> b(b(a(a(x1))))
174.57/44.64	     graph:
174.57/44.64	      b#(b(a(b(x1)))) -> b#(b(a(a(x1)))) ->
174.57/44.64	      b#(b(a(b(x1)))) -> a#(x1)
174.57/44.64	      b#(b(a(b(x1)))) -> b#(b(a(a(x1)))) ->
174.57/44.64	      b#(b(a(b(x1)))) -> a#(a(x1))
174.57/44.64	      b#(b(a(b(x1)))) -> b#(b(a(a(x1)))) ->
174.57/44.64	      b#(b(a(b(x1)))) -> b#(a(a(x1)))
174.57/44.64	      b#(b(a(b(x1)))) -> b#(b(a(a(x1)))) ->
174.57/44.64	      b#(b(a(b(x1)))) -> b#(b(a(a(x1))))
174.57/44.64	      b#(b(a(b(x1)))) -> a#(a(x1)) -> a#(a(a(a(x1)))) -> b#(x1)
174.57/44.64	      b#(b(a(b(x1)))) -> a#(a(x1)) -> a#(a(a(a(x1)))) -> a#(b(x1))
174.57/44.64	      b#(b(a(b(x1)))) -> a#(a(x1)) -> a#(a(a(a(x1)))) -> b#(a(b(x1)))
174.57/44.64	      b#(b(a(b(x1)))) -> a#(a(x1)) ->
174.57/44.64	      a#(a(a(a(x1)))) -> b#(b(a(b(x1))))
174.57/44.64	      b#(b(a(b(x1)))) -> a#(a(x1)) -> a#(a(b(b(x1)))) -> a#(x1)
174.57/44.64	      b#(b(a(b(x1)))) -> a#(a(x1)) -> a#(a(b(b(x1)))) -> a#(a(x1))
174.57/44.64	      b#(b(a(b(x1)))) -> a#(a(x1)) -> a#(a(b(b(x1)))) -> b#(a(a(x1)))
174.57/44.64	      b#(b(a(b(x1)))) -> a#(a(x1)) -> a#(a(b(b(x1)))) -> b#(b(a(a(x1))))
174.57/44.64	      b#(b(a(b(x1)))) -> a#(x1) -> a#(a(a(a(x1)))) -> b#(x1)
174.57/44.64	      b#(b(a(b(x1)))) -> a#(x1) -> a#(a(a(a(x1)))) -> a#(b(x1))
174.57/44.64	      b#(b(a(b(x1)))) -> a#(x1) -> a#(a(a(a(x1)))) -> b#(a(b(x1)))
174.57/44.64	      b#(b(a(b(x1)))) -> a#(x1) -> a#(a(a(a(x1)))) -> b#(b(a(b(x1))))
174.57/44.64	      b#(b(a(b(x1)))) -> a#(x1) -> a#(a(b(b(x1)))) -> a#(x1)
174.57/44.64	      b#(b(a(b(x1)))) -> a#(x1) -> a#(a(b(b(x1)))) -> a#(a(x1))
174.57/44.64	      b#(b(a(b(x1)))) -> a#(x1) -> a#(a(b(b(x1)))) -> b#(a(a(x1)))
174.57/44.64	      b#(b(a(b(x1)))) -> a#(x1) ->
174.57/44.64	      a#(a(b(b(x1)))) -> b#(b(a(a(x1))))
174.57/44.64	      a#(a(b(b(x1)))) -> b#(b(a(a(x1)))) ->
174.57/44.64	      b#(b(a(b(x1)))) -> a#(x1)
174.57/44.65	      a#(a(b(b(x1)))) -> b#(b(a(a(x1)))) ->
174.57/44.65	      b#(b(a(b(x1)))) -> a#(a(x1))
174.57/44.65	      a#(a(b(b(x1)))) -> b#(b(a(a(x1)))) ->
174.57/44.65	      b#(b(a(b(x1)))) -> b#(a(a(x1)))
174.57/44.65	      a#(a(b(b(x1)))) -> b#(b(a(a(x1)))) ->
174.57/44.65	      b#(b(a(b(x1)))) -> b#(b(a(a(x1))))
174.57/44.65	      a#(a(b(b(x1)))) -> a#(a(x1)) -> a#(a(a(a(x1)))) -> b#(x1)
174.57/44.65	      a#(a(b(b(x1)))) -> a#(a(x1)) -> a#(a(a(a(x1)))) -> a#(b(x1))
174.57/44.65	      a#(a(b(b(x1)))) -> a#(a(x1)) -> a#(a(a(a(x1)))) -> b#(a(b(x1)))
174.57/44.65	      a#(a(b(b(x1)))) -> a#(a(x1)) ->
174.57/44.65	      a#(a(a(a(x1)))) -> b#(b(a(b(x1))))
174.57/44.65	      a#(a(b(b(x1)))) -> a#(a(x1)) -> a#(a(b(b(x1)))) -> a#(x1)
174.57/44.65	      a#(a(b(b(x1)))) -> a#(a(x1)) -> a#(a(b(b(x1)))) -> a#(a(x1))
174.57/44.65	      a#(a(b(b(x1)))) -> a#(a(x1)) -> a#(a(b(b(x1)))) -> b#(a(a(x1)))
174.57/44.65	      a#(a(b(b(x1)))) -> a#(a(x1)) -> a#(a(b(b(x1)))) -> b#(b(a(a(x1))))
174.57/44.65	      a#(a(b(b(x1)))) -> a#(x1) -> a#(a(a(a(x1)))) -> b#(x1)
174.57/44.65	      a#(a(b(b(x1)))) -> a#(x1) -> a#(a(a(a(x1)))) -> a#(b(x1))
174.57/44.65	      a#(a(b(b(x1)))) -> a#(x1) -> a#(a(a(a(x1)))) -> b#(a(b(x1)))
174.57/44.65	      a#(a(b(b(x1)))) -> a#(x1) -> a#(a(a(a(x1)))) -> b#(b(a(b(x1))))
174.57/44.65	      a#(a(b(b(x1)))) -> a#(x1) -> a#(a(b(b(x1)))) -> a#(x1)
174.57/44.65	      a#(a(b(b(x1)))) -> a#(x1) -> a#(a(b(b(x1)))) -> a#(a(x1))
174.57/44.65	      a#(a(b(b(x1)))) -> a#(x1) -> a#(a(b(b(x1)))) -> b#(a(a(x1)))
174.57/44.65	      a#(a(b(b(x1)))) -> a#(x1) ->
174.57/44.65	      a#(a(b(b(x1)))) -> b#(b(a(a(x1))))
174.57/44.65	      a#(a(a(a(x1)))) -> b#(b(a(b(x1)))) ->
174.57/44.65	      b#(b(a(b(x1)))) -> a#(x1)
174.57/44.65	      a#(a(a(a(x1)))) -> b#(b(a(b(x1)))) ->
174.57/44.65	      b#(b(a(b(x1)))) -> a#(a(x1))
174.57/44.65	      a#(a(a(a(x1)))) -> b#(b(a(b(x1)))) ->
174.57/44.65	      b#(b(a(b(x1)))) -> b#(a(a(x1)))
174.57/44.65	      a#(a(a(a(x1)))) -> b#(b(a(b(x1)))) ->
174.57/44.65	      b#(b(a(b(x1)))) -> b#(b(a(a(x1))))
174.57/44.65	      a#(a(a(a(x1)))) -> b#(x1) -> b#(b(a(b(x1)))) -> a#(x1)
174.57/44.65	      a#(a(a(a(x1)))) -> b#(x1) -> b#(b(a(b(x1)))) -> a#(a(x1))
174.57/44.65	      a#(a(a(a(x1)))) -> b#(x1) -> b#(b(a(b(x1)))) -> b#(a(a(x1)))
174.57/44.65	      a#(a(a(a(x1)))) -> b#(x1) -> b#(b(a(b(x1)))) -> b#(b(a(a(x1))))
174.57/44.65	     SCC Processor:
174.57/44.65	      #sccs: 1
174.57/44.65	      #rules: 8
174.57/44.65	      #arcs: 48/144
174.57/44.65	      DPs:
174.57/44.65	       b#(b(a(b(x1)))) -> b#(b(a(a(x1))))
174.57/44.65	       b#(b(a(b(x1)))) -> a#(a(x1))
174.57/44.65	       a#(a(b(b(x1)))) -> b#(b(a(a(x1))))
174.57/44.65	       b#(b(a(b(x1)))) -> a#(x1)
174.57/44.65	       a#(a(b(b(x1)))) -> a#(a(x1))
174.57/44.65	       a#(a(b(b(x1)))) -> a#(x1)
174.57/44.65	       a#(a(a(a(x1)))) -> b#(b(a(b(x1))))
174.57/44.65	       a#(a(a(a(x1)))) -> b#(x1)
174.57/44.65	      TRS:
174.57/44.65	       a(a(a(a(x1)))) -> b(b(a(b(x1))))
174.57/44.65	       a(a(b(b(x1)))) -> b(b(a(a(x1))))
174.57/44.65	       b(b(a(b(x1)))) -> b(b(a(a(x1))))
174.57/44.65	      Arctic Interpretation Processor:
174.57/44.65	       dimension: 1
174.57/44.65	       usable rules:
174.57/44.65	        a(a(a(a(x1)))) -> b(b(a(b(x1))))
174.57/44.65	        a(a(b(b(x1)))) -> b(b(a(a(x1))))
174.57/44.65	        b(b(a(b(x1)))) -> b(b(a(a(x1))))
174.57/44.65	       interpretation:
174.57/44.65	        [b#](x0) = x0,
174.57/44.65	        
174.57/44.65	        [a#](x0) = 2x0,
174.57/44.65	        
174.57/44.65	        [b](x0) = 4x0,
174.57/44.65	        
174.57/44.65	        [a](x0) = 4x0
174.57/44.65	       orientation:
174.57/44.65	        b#(b(a(b(x1)))) = 12x1 >= 12x1 = b#(b(a(a(x1))))
174.57/44.65	        
174.57/44.65	        b#(b(a(b(x1)))) = 12x1 >= 6x1 = a#(a(x1))
174.57/44.65	        
174.57/44.65	        a#(a(b(b(x1)))) = 14x1 >= 12x1 = b#(b(a(a(x1))))
174.57/44.65	        
174.57/44.65	        b#(b(a(b(x1)))) = 12x1 >= 2x1 = a#(x1)
174.57/44.65	        
174.57/44.65	        a#(a(b(b(x1)))) = 14x1 >= 6x1 = a#(a(x1))
174.57/44.65	        
174.57/44.65	        a#(a(b(b(x1)))) = 14x1 >= 2x1 = a#(x1)
174.57/44.65	        
174.57/44.65	        a#(a(a(a(x1)))) = 14x1 >= 12x1 = b#(b(a(b(x1))))
174.57/44.65	        
174.57/44.65	        a#(a(a(a(x1)))) = 14x1 >= x1 = b#(x1)
174.57/44.65	        
174.57/44.65	        a(a(a(a(x1)))) = 16x1 >= 16x1 = b(b(a(b(x1))))
174.57/44.65	        
174.57/44.65	        a(a(b(b(x1)))) = 16x1 >= 16x1 = b(b(a(a(x1))))
174.57/44.65	        
174.57/44.65	        b(b(a(b(x1)))) = 16x1 >= 16x1 = b(b(a(a(x1))))
174.57/44.65	       problem:
174.57/44.65	        DPs:
174.57/44.65	         b#(b(a(b(x1)))) -> b#(b(a(a(x1))))
174.57/44.65	        TRS:
174.57/44.65	         a(a(a(a(x1)))) -> b(b(a(b(x1))))
174.57/44.65	         a(a(b(b(x1)))) -> b(b(a(a(x1))))
174.57/44.65	         b(b(a(b(x1)))) -> b(b(a(a(x1))))
174.57/44.65	       Restore Modifier:
174.57/44.65	        DPs:
174.57/44.65	         b#(b(a(b(x1)))) -> b#(b(a(a(x1))))
174.57/44.65	        TRS:
174.57/44.65	         a(a(a(a(x1)))) -> b(b(a(b(x1))))
174.57/44.65	         a(a(b(b(x1)))) -> b(b(a(a(x1))))
174.57/44.65	         b(b(a(b(x1)))) -> b(b(a(a(x1))))
174.57/44.65	        EDG Processor:
174.57/44.65	         DPs:
174.57/44.65	          b#(b(a(b(x1)))) -> b#(b(a(a(x1))))
174.57/44.65	         TRS:
174.57/44.65	          a(a(a(a(x1)))) -> b(b(a(b(x1))))
174.57/44.65	          a(a(b(b(x1)))) -> b(b(a(a(x1))))
174.57/44.65	          b(b(a(b(x1)))) -> b(b(a(a(x1))))
174.57/44.65	         graph:
174.57/44.65	          b#(b(a(b(x1)))) -> b#(b(a(a(x1)))) -> b#(b(a(b(x1)))) -> b#(b(a(a(x1))))
174.57/44.65	         Bounds Processor:
174.57/44.65	          bound: 1
174.57/44.65	          enrichment: match-dp
174.57/44.65	          automaton:
174.57/44.65	           final states: {1}
174.57/44.65	           transitions:
174.57/44.65	            f40() -> 2*
174.57/44.65	            b{#,0}(5) -> 1*
174.57/44.65	            b0(14) -> 15*
174.57/44.65	            b0(4) -> 5*
174.57/44.65	            b0(11) -> 12*
174.57/44.65	            b0(13) -> 14*
174.57/44.65	            a0(12) -> 13*
174.57/44.65	            a0(2) -> 3*
174.57/44.65	            a0(16) -> 17*
174.57/44.65	            a0(3) -> 4*
174.57/44.65	            b{#,1}(23) -> 24*
174.57/44.65	            b1(30) -> 31*
174.57/44.65	            b1(22) -> 23*
174.57/44.65	            a1(20) -> 21*
174.57/44.65	            a1(34) -> 35*
174.57/44.65	            a1(21) -> 22*
174.57/44.65	            2 -> 11*
174.57/44.65	            11 -> 16*
174.57/44.65	            14 -> 20*
174.57/44.65	            15 -> 17,13,3,4
174.57/44.65	            17 -> 12*
174.57/44.65	            23 -> 30*
174.57/44.65	            24 -> 1*
174.57/44.65	            30 -> 34*
174.57/44.65	            31 -> 15,17,3,4,13,12,22
174.57/44.65	            35 -> 21*
174.57/44.65	          problem:
174.57/44.65	           DPs:
174.57/44.65	            
174.57/44.65	           TRS:
174.57/44.65	            a(a(a(a(x1)))) -> b(b(a(b(x1))))
174.57/44.65	            a(a(b(b(x1)))) -> b(b(a(a(x1))))
174.57/44.65	            b(b(a(b(x1)))) -> b(b(a(a(x1))))
174.57/44.65	          Qed
174.57/44.66	EOF