41.55/10.92	YES
41.55/10.93	
41.55/10.93	Problem:
41.55/10.93	 a(a(b(b(x1)))) -> b(b(c(c(a(a(x1))))))
41.55/10.93	 b(b(c(c(x1)))) -> c(c(b(b(b(b(x1))))))
41.55/10.93	 b(b(a(a(x1)))) -> a(a(c(c(b(b(x1))))))
41.55/10.93	
41.55/10.93	Proof:
41.55/10.93	 DP Processor:
41.55/10.93	  DPs:
41.55/10.93	   a#(a(b(b(x1)))) -> a#(x1)
41.55/10.93	   a#(a(b(b(x1)))) -> a#(a(x1))
41.55/10.93	   a#(a(b(b(x1)))) -> b#(c(c(a(a(x1)))))
41.55/10.93	   a#(a(b(b(x1)))) -> b#(b(c(c(a(a(x1))))))
41.55/10.93	   b#(b(c(c(x1)))) -> b#(x1)
41.55/10.93	   b#(b(c(c(x1)))) -> b#(b(x1))
41.55/10.93	   b#(b(c(c(x1)))) -> b#(b(b(x1)))
41.55/10.93	   b#(b(c(c(x1)))) -> b#(b(b(b(x1))))
41.55/10.93	   b#(b(a(a(x1)))) -> b#(x1)
41.55/10.93	   b#(b(a(a(x1)))) -> b#(b(x1))
41.55/10.93	   b#(b(a(a(x1)))) -> a#(c(c(b(b(x1)))))
41.55/10.93	   b#(b(a(a(x1)))) -> a#(a(c(c(b(b(x1))))))
41.55/10.93	  TRS:
41.55/10.93	   a(a(b(b(x1)))) -> b(b(c(c(a(a(x1))))))
41.55/10.93	   b(b(c(c(x1)))) -> c(c(b(b(b(b(x1))))))
41.55/10.93	   b(b(a(a(x1)))) -> a(a(c(c(b(b(x1))))))
41.55/10.93	  TDG Processor:
41.55/10.93	   DPs:
41.55/10.93	    a#(a(b(b(x1)))) -> a#(x1)
41.55/10.93	    a#(a(b(b(x1)))) -> a#(a(x1))
41.55/10.93	    a#(a(b(b(x1)))) -> b#(c(c(a(a(x1)))))
41.55/10.93	    a#(a(b(b(x1)))) -> b#(b(c(c(a(a(x1))))))
41.55/10.93	    b#(b(c(c(x1)))) -> b#(x1)
41.55/10.93	    b#(b(c(c(x1)))) -> b#(b(x1))
41.55/10.93	    b#(b(c(c(x1)))) -> b#(b(b(x1)))
41.55/10.93	    b#(b(c(c(x1)))) -> b#(b(b(b(x1))))
41.55/10.93	    b#(b(a(a(x1)))) -> b#(x1)
41.55/10.93	    b#(b(a(a(x1)))) -> b#(b(x1))
41.55/10.93	    b#(b(a(a(x1)))) -> a#(c(c(b(b(x1)))))
41.55/10.93	    b#(b(a(a(x1)))) -> a#(a(c(c(b(b(x1))))))
41.55/10.93	   TRS:
41.55/10.93	    a(a(b(b(x1)))) -> b(b(c(c(a(a(x1))))))
41.55/10.93	    b(b(c(c(x1)))) -> c(c(b(b(b(b(x1))))))
41.55/10.93	    b(b(a(a(x1)))) -> a(a(c(c(b(b(x1))))))
41.55/10.93	   graph:
41.55/10.93	    b#(b(c(c(x1)))) -> b#(b(b(b(x1)))) ->
41.55/10.93	    b#(b(a(a(x1)))) -> a#(a(c(c(b(b(x1))))))
41.55/10.93	    b#(b(c(c(x1)))) -> b#(b(b(b(x1)))) ->
41.55/10.93	    b#(b(a(a(x1)))) -> a#(c(c(b(b(x1)))))
41.55/10.93	    b#(b(c(c(x1)))) -> b#(b(b(b(x1)))) ->
41.55/10.93	    b#(b(a(a(x1)))) -> b#(b(x1))
41.55/10.93	    b#(b(c(c(x1)))) -> b#(b(b(b(x1)))) ->
41.55/10.93	    b#(b(a(a(x1)))) -> b#(x1)
41.55/10.93	    b#(b(c(c(x1)))) -> b#(b(b(b(x1)))) ->
41.55/10.93	    b#(b(c(c(x1)))) -> b#(b(b(b(x1))))
41.55/10.93	    b#(b(c(c(x1)))) -> b#(b(b(b(x1)))) ->
41.55/10.93	    b#(b(c(c(x1)))) -> b#(b(b(x1)))
41.55/10.93	    b#(b(c(c(x1)))) -> b#(b(b(b(x1)))) ->
41.55/10.93	    b#(b(c(c(x1)))) -> b#(b(x1))
41.55/10.93	    b#(b(c(c(x1)))) -> b#(b(b(b(x1)))) -> b#(b(c(c(x1)))) -> b#(x1)
41.55/10.93	    b#(b(c(c(x1)))) -> b#(b(b(x1))) ->
41.55/10.93	    b#(b(a(a(x1)))) -> a#(a(c(c(b(b(x1))))))
41.55/10.93	    b#(b(c(c(x1)))) -> b#(b(b(x1))) ->
41.55/10.93	    b#(b(a(a(x1)))) -> a#(c(c(b(b(x1)))))
41.55/10.93	    b#(b(c(c(x1)))) -> b#(b(b(x1))) -> b#(b(a(a(x1)))) -> b#(b(x1))
41.55/10.93	    b#(b(c(c(x1)))) -> b#(b(b(x1))) -> b#(b(a(a(x1)))) -> b#(x1)
41.55/10.93	    b#(b(c(c(x1)))) -> b#(b(b(x1))) ->
41.55/10.93	    b#(b(c(c(x1)))) -> b#(b(b(b(x1))))
41.55/10.93	    b#(b(c(c(x1)))) -> b#(b(b(x1))) ->
41.55/10.93	    b#(b(c(c(x1)))) -> b#(b(b(x1)))
41.55/10.93	    b#(b(c(c(x1)))) -> b#(b(b(x1))) -> b#(b(c(c(x1)))) -> b#(b(x1))
41.55/10.93	    b#(b(c(c(x1)))) -> b#(b(b(x1))) -> b#(b(c(c(x1)))) -> b#(x1)
41.55/10.93	    b#(b(c(c(x1)))) -> b#(b(x1)) ->
41.55/10.93	    b#(b(a(a(x1)))) -> a#(a(c(c(b(b(x1))))))
41.55/10.93	    b#(b(c(c(x1)))) -> b#(b(x1)) ->
41.55/10.93	    b#(b(a(a(x1)))) -> a#(c(c(b(b(x1)))))
41.55/10.93	    b#(b(c(c(x1)))) -> b#(b(x1)) -> b#(b(a(a(x1)))) -> b#(b(x1))
41.55/10.93	    b#(b(c(c(x1)))) -> b#(b(x1)) -> b#(b(a(a(x1)))) -> b#(x1)
41.55/10.93	    b#(b(c(c(x1)))) -> b#(b(x1)) -> b#(b(c(c(x1)))) -> b#(b(b(b(x1))))
41.55/10.93	    b#(b(c(c(x1)))) -> b#(b(x1)) -> b#(b(c(c(x1)))) -> b#(b(b(x1)))
41.55/10.93	    b#(b(c(c(x1)))) -> b#(b(x1)) -> b#(b(c(c(x1)))) -> b#(b(x1))
41.55/10.93	    b#(b(c(c(x1)))) -> b#(b(x1)) -> b#(b(c(c(x1)))) -> b#(x1)
41.55/10.93	    b#(b(c(c(x1)))) -> b#(x1) -> b#(b(a(a(x1)))) -> a#(a(c(c(b(b(x1))))))
41.55/10.93	    b#(b(c(c(x1)))) -> b#(x1) -> b#(b(a(a(x1)))) -> a#(c(c(b(b(x1)))))
41.55/10.93	    b#(b(c(c(x1)))) -> b#(x1) -> b#(b(a(a(x1)))) -> b#(b(x1))
41.55/10.93	    b#(b(c(c(x1)))) -> b#(x1) -> b#(b(a(a(x1)))) -> b#(x1)
41.55/10.93	    b#(b(c(c(x1)))) -> b#(x1) -> b#(b(c(c(x1)))) -> b#(b(b(b(x1))))
41.55/10.93	    b#(b(c(c(x1)))) -> b#(x1) -> b#(b(c(c(x1)))) -> b#(b(b(x1)))
41.55/10.93	    b#(b(c(c(x1)))) -> b#(x1) -> b#(b(c(c(x1)))) -> b#(b(x1))
41.55/10.93	    b#(b(c(c(x1)))) -> b#(x1) -> b#(b(c(c(x1)))) -> b#(x1)
41.55/10.93	    b#(b(a(a(x1)))) -> b#(b(x1)) ->
41.55/10.93	    b#(b(a(a(x1)))) -> a#(a(c(c(b(b(x1))))))
41.55/10.93	    b#(b(a(a(x1)))) -> b#(b(x1)) ->
41.55/10.93	    b#(b(a(a(x1)))) -> a#(c(c(b(b(x1)))))
41.55/10.93	    b#(b(a(a(x1)))) -> b#(b(x1)) -> b#(b(a(a(x1)))) -> b#(b(x1))
41.55/10.93	    b#(b(a(a(x1)))) -> b#(b(x1)) -> b#(b(a(a(x1)))) -> b#(x1)
41.55/10.93	    b#(b(a(a(x1)))) -> b#(b(x1)) -> b#(b(c(c(x1)))) -> b#(b(b(b(x1))))
41.55/10.93	    b#(b(a(a(x1)))) -> b#(b(x1)) -> b#(b(c(c(x1)))) -> b#(b(b(x1)))
41.55/10.93	    b#(b(a(a(x1)))) -> b#(b(x1)) -> b#(b(c(c(x1)))) -> b#(b(x1))
41.55/10.93	    b#(b(a(a(x1)))) -> b#(b(x1)) -> b#(b(c(c(x1)))) -> b#(x1)
42.18/11.46	    b#(b(a(a(x1)))) -> b#(x1) -> b#(b(a(a(x1)))) -> a#(a(c(c(b(b(x1))))))
42.18/11.46	    b#(b(a(a(x1)))) -> b#(x1) -> b#(b(a(a(x1)))) -> a#(c(c(b(b(x1)))))
42.18/11.46	    b#(b(a(a(x1)))) -> b#(x1) -> b#(b(a(a(x1)))) -> b#(b(x1))
42.18/11.46	    b#(b(a(a(x1)))) -> b#(x1) -> b#(b(a(a(x1)))) -> b#(x1)
42.18/11.46	    b#(b(a(a(x1)))) -> b#(x1) -> b#(b(c(c(x1)))) -> b#(b(b(b(x1))))
42.18/11.46	    b#(b(a(a(x1)))) -> b#(x1) -> b#(b(c(c(x1)))) -> b#(b(b(x1)))
42.18/11.46	    b#(b(a(a(x1)))) -> b#(x1) -> b#(b(c(c(x1)))) -> b#(b(x1))
42.18/11.46	    b#(b(a(a(x1)))) -> b#(x1) -> b#(b(c(c(x1)))) -> b#(x1)
42.18/11.46	    b#(b(a(a(x1)))) -> a#(c(c(b(b(x1))))) ->
42.18/11.46	    a#(a(b(b(x1)))) -> b#(b(c(c(a(a(x1))))))
42.18/11.46	    b#(b(a(a(x1)))) -> a#(c(c(b(b(x1))))) ->
42.18/11.46	    a#(a(b(b(x1)))) -> b#(c(c(a(a(x1)))))
42.18/11.46	    b#(b(a(a(x1)))) -> a#(c(c(b(b(x1))))) ->
42.18/11.46	    a#(a(b(b(x1)))) -> a#(a(x1))
42.18/11.46	    b#(b(a(a(x1)))) -> a#(c(c(b(b(x1))))) ->
42.18/11.46	    a#(a(b(b(x1)))) -> a#(x1)
42.18/11.46	    b#(b(a(a(x1)))) -> a#(a(c(c(b(b(x1)))))) ->
42.18/11.46	    a#(a(b(b(x1)))) -> b#(b(c(c(a(a(x1))))))
42.18/11.46	    b#(b(a(a(x1)))) -> a#(a(c(c(b(b(x1)))))) ->
42.18/11.46	    a#(a(b(b(x1)))) -> b#(c(c(a(a(x1)))))
42.18/11.46	    b#(b(a(a(x1)))) -> a#(a(c(c(b(b(x1)))))) ->
42.18/11.46	    a#(a(b(b(x1)))) -> a#(a(x1))
42.18/11.46	    b#(b(a(a(x1)))) -> a#(a(c(c(b(b(x1)))))) ->
42.18/11.46	    a#(a(b(b(x1)))) -> a#(x1)
42.18/11.46	    a#(a(b(b(x1)))) -> b#(c(c(a(a(x1))))) ->
42.18/11.46	    b#(b(a(a(x1)))) -> a#(a(c(c(b(b(x1))))))
42.18/11.46	    a#(a(b(b(x1)))) -> b#(c(c(a(a(x1))))) ->
42.18/11.46	    b#(b(a(a(x1)))) -> a#(c(c(b(b(x1)))))
42.18/11.46	    a#(a(b(b(x1)))) -> b#(c(c(a(a(x1))))) ->
42.18/11.46	    b#(b(a(a(x1)))) -> b#(b(x1))
42.18/11.46	    a#(a(b(b(x1)))) -> b#(c(c(a(a(x1))))) ->
42.18/11.46	    b#(b(a(a(x1)))) -> b#(x1)
42.18/11.46	    a#(a(b(b(x1)))) -> b#(c(c(a(a(x1))))) ->
42.18/11.46	    b#(b(c(c(x1)))) -> b#(b(b(b(x1))))
42.18/11.46	    a#(a(b(b(x1)))) -> b#(c(c(a(a(x1))))) ->
42.18/11.46	    b#(b(c(c(x1)))) -> b#(b(b(x1)))
42.18/11.46	    a#(a(b(b(x1)))) -> b#(c(c(a(a(x1))))) ->
42.18/11.46	    b#(b(c(c(x1)))) -> b#(b(x1))
42.18/11.46	    a#(a(b(b(x1)))) -> b#(c(c(a(a(x1))))) ->
42.18/11.46	    b#(b(c(c(x1)))) -> b#(x1)
42.18/11.46	    a#(a(b(b(x1)))) -> b#(b(c(c(a(a(x1)))))) ->
42.18/11.46	    b#(b(a(a(x1)))) -> a#(a(c(c(b(b(x1))))))
42.18/11.46	    a#(a(b(b(x1)))) -> b#(b(c(c(a(a(x1)))))) ->
42.18/11.46	    b#(b(a(a(x1)))) -> a#(c(c(b(b(x1)))))
42.18/11.46	    a#(a(b(b(x1)))) -> b#(b(c(c(a(a(x1)))))) ->
42.18/11.46	    b#(b(a(a(x1)))) -> b#(b(x1))
42.18/11.46	    a#(a(b(b(x1)))) -> b#(b(c(c(a(a(x1)))))) ->
42.18/11.46	    b#(b(a(a(x1)))) -> b#(x1)
42.18/11.46	    a#(a(b(b(x1)))) -> b#(b(c(c(a(a(x1)))))) ->
42.18/11.46	    b#(b(c(c(x1)))) -> b#(b(b(b(x1))))
42.18/11.46	    a#(a(b(b(x1)))) -> b#(b(c(c(a(a(x1)))))) ->
42.18/11.46	    b#(b(c(c(x1)))) -> b#(b(b(x1)))
42.18/11.46	    a#(a(b(b(x1)))) -> b#(b(c(c(a(a(x1)))))) ->
42.18/11.46	    b#(b(c(c(x1)))) -> b#(b(x1))
42.18/11.46	    a#(a(b(b(x1)))) -> b#(b(c(c(a(a(x1)))))) ->
42.18/11.46	    b#(b(c(c(x1)))) -> b#(x1)
42.18/11.46	    a#(a(b(b(x1)))) -> a#(a(x1)) ->
42.18/11.46	    a#(a(b(b(x1)))) -> b#(b(c(c(a(a(x1))))))
42.18/11.46	    a#(a(b(b(x1)))) -> a#(a(x1)) ->
42.18/11.46	    a#(a(b(b(x1)))) -> b#(c(c(a(a(x1)))))
42.18/11.46	    a#(a(b(b(x1)))) -> a#(a(x1)) -> a#(a(b(b(x1)))) -> a#(a(x1))
42.18/11.46	    a#(a(b(b(x1)))) -> a#(a(x1)) -> a#(a(b(b(x1)))) -> a#(x1)
42.18/11.46	    a#(a(b(b(x1)))) -> a#(x1) -> a#(a(b(b(x1)))) -> b#(b(c(c(a(a(x1))))))
42.18/11.46	    a#(a(b(b(x1)))) -> a#(x1) -> a#(a(b(b(x1)))) -> b#(c(c(a(a(x1)))))
42.18/11.46	    a#(a(b(b(x1)))) -> a#(x1) -> a#(a(b(b(x1)))) -> a#(a(x1))
42.18/11.46	    a#(a(b(b(x1)))) -> a#(x1) -> a#(a(b(b(x1)))) -> a#(x1)
42.18/11.46	   Polynomial Interpretation Processor:
42.18/11.46	    dimension: 1
42.18/11.46	    interpretation:
42.18/11.46	     [b#](x0) = x0,
42.18/11.46	     
42.18/11.46	     [a#](x0) = x0 + 1,
42.18/11.46	     
42.18/11.46	     [c](x0) = x0,
42.18/11.46	     
42.18/11.46	     [a](x0) = x0 + 1,
42.18/11.46	     
42.18/11.46	     [b](x0) = x0
42.18/11.46	    orientation:
42.18/11.46	     a#(a(b(b(x1)))) = x1 + 2 >= x1 + 1 = a#(x1)
42.18/11.46	     
42.18/11.46	     a#(a(b(b(x1)))) = x1 + 2 >= x1 + 2 = a#(a(x1))
42.18/11.46	     
42.18/11.46	     a#(a(b(b(x1)))) = x1 + 2 >= x1 + 2 = b#(c(c(a(a(x1)))))
42.18/11.46	     
42.18/11.46	     a#(a(b(b(x1)))) = x1 + 2 >= x1 + 2 = b#(b(c(c(a(a(x1))))))
42.18/11.46	     
42.18/11.46	     b#(b(c(c(x1)))) = x1 >= x1 = b#(x1)
42.18/11.46	     
42.18/11.46	     b#(b(c(c(x1)))) = x1 >= x1 = b#(b(x1))
42.18/11.46	     
42.18/11.46	     b#(b(c(c(x1)))) = x1 >= x1 = b#(b(b(x1)))
42.18/11.46	     
42.18/11.46	     b#(b(c(c(x1)))) = x1 >= x1 = b#(b(b(b(x1))))
42.18/11.46	     
42.18/11.46	     b#(b(a(a(x1)))) = x1 + 2 >= x1 = b#(x1)
42.18/11.46	     
42.18/11.46	     b#(b(a(a(x1)))) = x1 + 2 >= x1 = b#(b(x1))
42.18/11.46	     
42.18/11.46	     b#(b(a(a(x1)))) = x1 + 2 >= x1 + 1 = a#(c(c(b(b(x1)))))
42.18/11.46	     
42.18/11.46	     b#(b(a(a(x1)))) = x1 + 2 >= x1 + 2 = a#(a(c(c(b(b(x1))))))
42.18/11.46	     
42.18/11.46	     a(a(b(b(x1)))) = x1 + 2 >= x1 + 2 = b(b(c(c(a(a(x1))))))
43.58/12.89	     
43.58/12.89	     b(b(c(c(x1)))) = x1 >= x1 = c(c(b(b(b(b(x1))))))
43.58/12.89	     
43.58/12.89	     b(b(a(a(x1)))) = x1 + 2 >= x1 + 2 = a(a(c(c(b(b(x1))))))
43.58/12.89	    problem:
43.58/12.89	     DPs:
43.58/12.89	      a#(a(b(b(x1)))) -> a#(a(x1))
43.58/12.89	      a#(a(b(b(x1)))) -> b#(c(c(a(a(x1)))))
43.58/12.89	      a#(a(b(b(x1)))) -> b#(b(c(c(a(a(x1))))))
43.58/12.89	      b#(b(c(c(x1)))) -> b#(x1)
43.58/12.89	      b#(b(c(c(x1)))) -> b#(b(x1))
43.58/12.89	      b#(b(c(c(x1)))) -> b#(b(b(x1)))
43.58/12.89	      b#(b(c(c(x1)))) -> b#(b(b(b(x1))))
43.58/12.89	      b#(b(a(a(x1)))) -> a#(a(c(c(b(b(x1))))))
43.58/12.89	     TRS:
43.58/12.89	      a(a(b(b(x1)))) -> b(b(c(c(a(a(x1))))))
43.58/12.89	      b(b(c(c(x1)))) -> c(c(b(b(b(b(x1))))))
43.58/12.89	      b(b(a(a(x1)))) -> a(a(c(c(b(b(x1))))))
43.58/12.89	    Polynomial Interpretation Processor:
43.58/12.89	     dimension: 1
43.58/12.89	     usable rules:
43.58/12.89	      a(a(b(b(x1)))) -> b(b(c(c(a(a(x1))))))
43.58/12.89	      b(b(c(c(x1)))) -> c(c(b(b(b(b(x1))))))
43.58/12.89	      b(b(a(a(x1)))) -> a(a(c(c(b(b(x1))))))
43.58/12.89	     interpretation:
43.58/12.89	      [b#](x0) = 0,
43.58/12.89	      
43.58/12.89	      [a#](x0) = x0,
43.58/12.89	      
43.58/12.89	      [c](x0) = 0,
43.58/12.89	      
43.58/12.89	      [a](x0) = x0,
43.58/12.89	      
43.58/12.89	      [b](x0) = x0 + 1
43.58/12.89	     orientation:
43.58/12.89	      a#(a(b(b(x1)))) = x1 + 2 >= x1 = a#(a(x1))
43.58/12.89	      
43.58/12.89	      a#(a(b(b(x1)))) = x1 + 2 >= 0 = b#(c(c(a(a(x1)))))
43.58/12.89	      
43.58/12.89	      a#(a(b(b(x1)))) = x1 + 2 >= 0 = b#(b(c(c(a(a(x1))))))
43.58/12.89	      
43.58/12.89	      b#(b(c(c(x1)))) = 0 >= 0 = b#(x1)
43.58/12.89	      
43.58/12.89	      b#(b(c(c(x1)))) = 0 >= 0 = b#(b(x1))
43.58/12.89	      
43.58/12.89	      b#(b(c(c(x1)))) = 0 >= 0 = b#(b(b(x1)))
43.58/12.89	      
43.58/12.89	      b#(b(c(c(x1)))) = 0 >= 0 = b#(b(b(b(x1))))
43.58/12.89	      
43.58/12.89	      b#(b(a(a(x1)))) = 0 >= 0 = a#(a(c(c(b(b(x1))))))
43.58/12.89	      
43.58/12.89	      a(a(b(b(x1)))) = x1 + 2 >= 2 = b(b(c(c(a(a(x1))))))
43.58/12.89	      
43.58/12.89	      b(b(c(c(x1)))) = 2 >= 0 = c(c(b(b(b(b(x1))))))
43.58/12.89	      
43.58/12.89	      b(b(a(a(x1)))) = x1 + 2 >= 0 = a(a(c(c(b(b(x1))))))
43.58/12.89	     problem:
43.58/12.89	      DPs:
43.58/12.89	       b#(b(c(c(x1)))) -> b#(x1)
43.58/12.89	       b#(b(c(c(x1)))) -> b#(b(x1))
43.58/12.89	       b#(b(c(c(x1)))) -> b#(b(b(x1)))
43.58/12.89	       b#(b(c(c(x1)))) -> b#(b(b(b(x1))))
43.58/12.89	       b#(b(a(a(x1)))) -> a#(a(c(c(b(b(x1))))))
43.58/12.89	      TRS:
43.58/12.89	       a(a(b(b(x1)))) -> b(b(c(c(a(a(x1))))))
43.58/12.89	       b(b(c(c(x1)))) -> c(c(b(b(b(b(x1))))))
43.58/12.89	       b(b(a(a(x1)))) -> a(a(c(c(b(b(x1))))))
43.58/12.89	     SCC Processor:
43.58/12.89	      #sccs: 1
43.58/12.89	      #rules: 4
43.58/12.89	      #arcs: 80/25
43.58/12.89	      DPs:
43.58/12.89	       b#(b(c(c(x1)))) -> b#(b(b(b(x1))))
43.58/12.89	       b#(b(c(c(x1)))) -> b#(x1)
43.58/12.89	       b#(b(c(c(x1)))) -> b#(b(x1))
43.58/12.89	       b#(b(c(c(x1)))) -> b#(b(b(x1)))
43.58/12.89	      TRS:
43.58/12.89	       a(a(b(b(x1)))) -> b(b(c(c(a(a(x1))))))
43.58/12.89	       b(b(c(c(x1)))) -> c(c(b(b(b(b(x1))))))
43.58/12.89	       b(b(a(a(x1)))) -> a(a(c(c(b(b(x1))))))
43.58/12.89	      Usable Rule Processor:
43.58/12.89	       DPs:
43.58/12.89	        b#(b(c(c(x1)))) -> b#(b(b(b(x1))))
43.58/12.89	        b#(b(c(c(x1)))) -> b#(x1)
43.58/12.89	        b#(b(c(c(x1)))) -> b#(b(x1))
43.58/12.89	        b#(b(c(c(x1)))) -> b#(b(b(x1)))
43.58/12.89	       TRS:
43.58/12.89	        b(b(c(c(x1)))) -> c(c(b(b(b(b(x1))))))
43.58/12.89	        b(b(a(a(x1)))) -> a(a(c(c(b(b(x1))))))
43.58/12.89	       Polynomial Interpretation Processor:
43.58/12.89	        dimension: 1
43.58/12.89	        usable rules:
43.58/12.89	         b(b(c(c(x1)))) -> c(c(b(b(b(b(x1))))))
43.58/12.89	         b(b(a(a(x1)))) -> a(a(c(c(b(b(x1))))))
43.58/12.89	        interpretation:
43.58/12.89	         [b#](x0) = x0 + 1,
43.58/12.89	         
43.58/12.89	         [c](x0) = x0 + 1,
43.58/12.89	         
43.58/12.89	         [a](x0) = 1,
43.58/12.89	         
43.58/12.89	         [b](x0) = x0
43.58/12.89	        orientation:
43.58/12.89	         b#(b(c(c(x1)))) = x1 + 3 >= x1 + 1 = b#(b(b(b(x1))))
43.58/12.89	         
43.58/12.89	         b#(b(c(c(x1)))) = x1 + 3 >= x1 + 1 = b#(x1)
43.58/12.89	         
43.58/12.89	         b#(b(c(c(x1)))) = x1 + 3 >= x1 + 1 = b#(b(x1))
43.58/12.89	         
43.58/12.89	         b#(b(c(c(x1)))) = x1 + 3 >= x1 + 1 = b#(b(b(x1)))
43.58/12.89	         
43.58/12.89	         b(b(c(c(x1)))) = x1 + 2 >= x1 + 2 = c(c(b(b(b(b(x1))))))
43.58/12.89	         
43.58/12.89	         b(b(a(a(x1)))) = 1 >= 1 = a(a(c(c(b(b(x1))))))
43.58/12.89	        problem:
43.58/12.89	         DPs:
43.58/12.89	          
43.58/12.89	         TRS:
43.58/12.89	          b(b(c(c(x1)))) -> c(c(b(b(b(b(x1))))))
43.58/12.89	          b(b(a(a(x1)))) -> a(a(c(c(b(b(x1))))))
43.58/12.89	        Qed
43.58/12.90	EOF