41.54/10.92	YES
41.54/10.93	
41.54/10.93	Problem:
41.54/10.93	 a(a(b(a(x1)))) -> a(b(a(b(x1))))
41.54/10.93	 b(b(a(b(x1)))) -> a(b(b(a(x1))))
41.54/10.93	 b(b(a(b(x1)))) -> a(a(a(a(x1))))
41.54/10.93	
41.54/10.93	Proof:
41.54/10.93	 DP Processor:
41.54/10.93	  DPs:
41.54/10.93	   a#(a(b(a(x1)))) -> b#(x1)
41.54/10.93	   a#(a(b(a(x1)))) -> a#(b(x1))
41.54/10.93	   a#(a(b(a(x1)))) -> b#(a(b(x1)))
41.54/10.93	   a#(a(b(a(x1)))) -> a#(b(a(b(x1))))
41.54/10.93	   b#(b(a(b(x1)))) -> a#(x1)
41.54/10.93	   b#(b(a(b(x1)))) -> b#(a(x1))
41.54/10.93	   b#(b(a(b(x1)))) -> b#(b(a(x1)))
41.54/10.93	   b#(b(a(b(x1)))) -> a#(b(b(a(x1))))
41.54/10.93	   b#(b(a(b(x1)))) -> a#(a(x1))
41.54/10.93	   b#(b(a(b(x1)))) -> a#(a(a(x1)))
41.54/10.93	   b#(b(a(b(x1)))) -> a#(a(a(a(x1))))
41.54/10.93	  TRS:
41.54/10.93	   a(a(b(a(x1)))) -> a(b(a(b(x1))))
41.54/10.93	   b(b(a(b(x1)))) -> a(b(b(a(x1))))
41.54/10.93	   b(b(a(b(x1)))) -> a(a(a(a(x1))))
41.54/10.93	  TDG Processor:
41.54/10.93	   DPs:
41.54/10.93	    a#(a(b(a(x1)))) -> b#(x1)
41.54/10.93	    a#(a(b(a(x1)))) -> a#(b(x1))
41.54/10.93	    a#(a(b(a(x1)))) -> b#(a(b(x1)))
41.54/10.93	    a#(a(b(a(x1)))) -> a#(b(a(b(x1))))
41.54/10.93	    b#(b(a(b(x1)))) -> a#(x1)
41.54/10.93	    b#(b(a(b(x1)))) -> b#(a(x1))
41.54/10.93	    b#(b(a(b(x1)))) -> b#(b(a(x1)))
41.54/10.93	    b#(b(a(b(x1)))) -> a#(b(b(a(x1))))
41.54/10.93	    b#(b(a(b(x1)))) -> a#(a(x1))
41.54/10.93	    b#(b(a(b(x1)))) -> a#(a(a(x1)))
41.54/10.93	    b#(b(a(b(x1)))) -> a#(a(a(a(x1))))
41.54/10.93	   TRS:
41.54/10.93	    a(a(b(a(x1)))) -> a(b(a(b(x1))))
41.54/10.93	    b(b(a(b(x1)))) -> a(b(b(a(x1))))
41.54/10.93	    b(b(a(b(x1)))) -> a(a(a(a(x1))))
41.54/10.93	   graph:
41.54/10.93	    b#(b(a(b(x1)))) -> b#(b(a(x1))) ->
41.54/10.93	    b#(b(a(b(x1)))) -> a#(a(a(a(x1))))
41.54/10.93	    b#(b(a(b(x1)))) -> b#(b(a(x1))) ->
41.54/10.93	    b#(b(a(b(x1)))) -> a#(a(a(x1)))
41.54/10.93	    b#(b(a(b(x1)))) -> b#(b(a(x1))) -> b#(b(a(b(x1)))) -> a#(a(x1))
41.54/10.93	    b#(b(a(b(x1)))) -> b#(b(a(x1))) ->
41.54/10.93	    b#(b(a(b(x1)))) -> a#(b(b(a(x1))))
41.54/10.93	    b#(b(a(b(x1)))) -> b#(b(a(x1))) ->
41.54/10.93	    b#(b(a(b(x1)))) -> b#(b(a(x1)))
41.54/10.93	    b#(b(a(b(x1)))) -> b#(b(a(x1))) -> b#(b(a(b(x1)))) -> b#(a(x1))
41.54/10.93	    b#(b(a(b(x1)))) -> b#(b(a(x1))) -> b#(b(a(b(x1)))) -> a#(x1)
41.54/10.93	    b#(b(a(b(x1)))) -> b#(a(x1)) -> b#(b(a(b(x1)))) -> a#(a(a(a(x1))))
41.54/10.93	    b#(b(a(b(x1)))) -> b#(a(x1)) -> b#(b(a(b(x1)))) -> a#(a(a(x1)))
41.54/10.93	    b#(b(a(b(x1)))) -> b#(a(x1)) -> b#(b(a(b(x1)))) -> a#(a(x1))
41.54/10.93	    b#(b(a(b(x1)))) -> b#(a(x1)) -> b#(b(a(b(x1)))) -> a#(b(b(a(x1))))
41.54/10.93	    b#(b(a(b(x1)))) -> b#(a(x1)) -> b#(b(a(b(x1)))) -> b#(b(a(x1)))
41.54/10.93	    b#(b(a(b(x1)))) -> b#(a(x1)) -> b#(b(a(b(x1)))) -> b#(a(x1))
41.54/10.93	    b#(b(a(b(x1)))) -> b#(a(x1)) -> b#(b(a(b(x1)))) -> a#(x1)
41.54/10.93	    b#(b(a(b(x1)))) -> a#(b(b(a(x1)))) ->
41.54/10.93	    a#(a(b(a(x1)))) -> a#(b(a(b(x1))))
41.54/10.93	    b#(b(a(b(x1)))) -> a#(b(b(a(x1)))) ->
41.54/10.93	    a#(a(b(a(x1)))) -> b#(a(b(x1)))
41.54/10.93	    b#(b(a(b(x1)))) -> a#(b(b(a(x1)))) ->
41.54/10.93	    a#(a(b(a(x1)))) -> a#(b(x1))
41.54/10.93	    b#(b(a(b(x1)))) -> a#(b(b(a(x1)))) ->
41.54/10.93	    a#(a(b(a(x1)))) -> b#(x1)
41.54/10.93	    b#(b(a(b(x1)))) -> a#(a(a(a(x1)))) ->
41.54/10.93	    a#(a(b(a(x1)))) -> a#(b(a(b(x1))))
41.54/10.93	    b#(b(a(b(x1)))) -> a#(a(a(a(x1)))) ->
41.54/10.93	    a#(a(b(a(x1)))) -> b#(a(b(x1)))
41.54/10.93	    b#(b(a(b(x1)))) -> a#(a(a(a(x1)))) ->
41.54/10.93	    a#(a(b(a(x1)))) -> a#(b(x1))
41.54/10.93	    b#(b(a(b(x1)))) -> a#(a(a(a(x1)))) -> a#(a(b(a(x1)))) -> b#(x1)
41.54/10.93	    b#(b(a(b(x1)))) -> a#(a(a(x1))) ->
41.54/10.93	    a#(a(b(a(x1)))) -> a#(b(a(b(x1))))
41.54/10.93	    b#(b(a(b(x1)))) -> a#(a(a(x1))) ->
41.54/10.93	    a#(a(b(a(x1)))) -> b#(a(b(x1)))
41.54/10.93	    b#(b(a(b(x1)))) -> a#(a(a(x1))) -> a#(a(b(a(x1)))) -> a#(b(x1))
41.54/10.93	    b#(b(a(b(x1)))) -> a#(a(a(x1))) -> a#(a(b(a(x1)))) -> b#(x1)
41.54/10.93	    b#(b(a(b(x1)))) -> a#(a(x1)) -> a#(a(b(a(x1)))) -> a#(b(a(b(x1))))
41.77/10.93	    b#(b(a(b(x1)))) -> a#(a(x1)) -> a#(a(b(a(x1)))) -> b#(a(b(x1)))
41.77/10.93	    b#(b(a(b(x1)))) -> a#(a(x1)) -> a#(a(b(a(x1)))) -> a#(b(x1))
41.77/10.93	    b#(b(a(b(x1)))) -> a#(a(x1)) -> a#(a(b(a(x1)))) -> b#(x1)
41.77/10.93	    b#(b(a(b(x1)))) -> a#(x1) -> a#(a(b(a(x1)))) -> a#(b(a(b(x1))))
41.77/10.93	    b#(b(a(b(x1)))) -> a#(x1) -> a#(a(b(a(x1)))) -> b#(a(b(x1)))
41.77/10.93	    b#(b(a(b(x1)))) -> a#(x1) -> a#(a(b(a(x1)))) -> a#(b(x1))
41.77/10.93	    b#(b(a(b(x1)))) -> a#(x1) -> a#(a(b(a(x1)))) -> b#(x1)
41.77/10.93	    a#(a(b(a(x1)))) -> b#(a(b(x1))) ->
41.77/10.93	    b#(b(a(b(x1)))) -> a#(a(a(a(x1))))
41.77/10.93	    a#(a(b(a(x1)))) -> b#(a(b(x1))) ->
41.77/10.93	    b#(b(a(b(x1)))) -> a#(a(a(x1)))
41.77/10.93	    a#(a(b(a(x1)))) -> b#(a(b(x1))) -> b#(b(a(b(x1)))) -> a#(a(x1))
41.77/10.93	    a#(a(b(a(x1)))) -> b#(a(b(x1))) ->
41.77/10.93	    b#(b(a(b(x1)))) -> a#(b(b(a(x1))))
41.77/10.93	    a#(a(b(a(x1)))) -> b#(a(b(x1))) ->
41.77/10.93	    b#(b(a(b(x1)))) -> b#(b(a(x1)))
41.77/10.93	    a#(a(b(a(x1)))) -> b#(a(b(x1))) -> b#(b(a(b(x1)))) -> b#(a(x1))
41.77/10.93	    a#(a(b(a(x1)))) -> b#(a(b(x1))) -> b#(b(a(b(x1)))) -> a#(x1)
41.77/10.93	    a#(a(b(a(x1)))) -> b#(x1) -> b#(b(a(b(x1)))) -> a#(a(a(a(x1))))
41.80/10.97	    a#(a(b(a(x1)))) -> b#(x1) -> b#(b(a(b(x1)))) -> a#(a(a(x1)))
41.80/10.97	    a#(a(b(a(x1)))) -> b#(x1) -> b#(b(a(b(x1)))) -> a#(a(x1))
41.80/10.97	    a#(a(b(a(x1)))) -> b#(x1) -> b#(b(a(b(x1)))) -> a#(b(b(a(x1))))
41.80/10.97	    a#(a(b(a(x1)))) -> b#(x1) -> b#(b(a(b(x1)))) -> b#(b(a(x1)))
41.80/10.97	    a#(a(b(a(x1)))) -> b#(x1) -> b#(b(a(b(x1)))) -> b#(a(x1))
41.80/10.97	    a#(a(b(a(x1)))) -> b#(x1) -> b#(b(a(b(x1)))) -> a#(x1)
41.80/10.97	    a#(a(b(a(x1)))) -> a#(b(a(b(x1)))) ->
41.80/10.97	    a#(a(b(a(x1)))) -> a#(b(a(b(x1))))
41.80/10.97	    a#(a(b(a(x1)))) -> a#(b(a(b(x1)))) ->
41.80/10.97	    a#(a(b(a(x1)))) -> b#(a(b(x1)))
41.80/10.97	    a#(a(b(a(x1)))) -> a#(b(a(b(x1)))) ->
41.80/10.97	    a#(a(b(a(x1)))) -> a#(b(x1))
41.80/10.97	    a#(a(b(a(x1)))) -> a#(b(a(b(x1)))) -> a#(a(b(a(x1)))) -> b#(x1)
41.80/10.97	    a#(a(b(a(x1)))) -> a#(b(x1)) -> a#(a(b(a(x1)))) -> a#(b(a(b(x1))))
41.80/10.97	    a#(a(b(a(x1)))) -> a#(b(x1)) -> a#(a(b(a(x1)))) -> b#(a(b(x1)))
41.80/10.97	    a#(a(b(a(x1)))) -> a#(b(x1)) -> a#(a(b(a(x1)))) -> a#(b(x1))
41.80/10.97	    a#(a(b(a(x1)))) -> a#(b(x1)) -> a#(a(b(a(x1)))) -> b#(x1)
41.80/10.97	   Polynomial Interpretation Processor:
41.80/10.97	    dimension: 1
41.80/10.97	    usable rules:
41.80/10.97	     a(a(b(a(x1)))) -> a(b(a(b(x1))))
41.80/10.97	     b(b(a(b(x1)))) -> a(b(b(a(x1))))
41.80/10.97	     b(b(a(b(x1)))) -> a(a(a(a(x1))))
41.80/10.97	    interpretation:
41.80/10.97	     [b#](x0) = x0,
41.80/10.97	     
41.80/10.97	     [a#](x0) = x0,
41.80/10.97	     
41.80/10.97	     [b](x0) = x0 + 1,
41.80/10.97	     
41.80/10.97	     [a](x0) = x0 + 1
41.80/10.97	    orientation:
41.80/10.97	     a#(a(b(a(x1)))) = x1 + 3 >= x1 = b#(x1)
41.80/10.97	     
41.80/10.97	     a#(a(b(a(x1)))) = x1 + 3 >= x1 + 1 = a#(b(x1))
41.80/10.97	     
41.80/10.97	     a#(a(b(a(x1)))) = x1 + 3 >= x1 + 2 = b#(a(b(x1)))
41.80/10.97	     
41.80/10.97	     a#(a(b(a(x1)))) = x1 + 3 >= x1 + 3 = a#(b(a(b(x1))))
41.80/10.97	     
41.80/10.97	     b#(b(a(b(x1)))) = x1 + 3 >= x1 = a#(x1)
41.80/10.97	     
41.80/10.97	     b#(b(a(b(x1)))) = x1 + 3 >= x1 + 1 = b#(a(x1))
41.80/10.97	     
41.80/10.97	     b#(b(a(b(x1)))) = x1 + 3 >= x1 + 2 = b#(b(a(x1)))
41.80/10.97	     
41.80/10.97	     b#(b(a(b(x1)))) = x1 + 3 >= x1 + 3 = a#(b(b(a(x1))))
41.80/10.97	     
41.80/10.97	     b#(b(a(b(x1)))) = x1 + 3 >= x1 + 1 = a#(a(x1))
41.80/10.97	     
41.80/10.97	     b#(b(a(b(x1)))) = x1 + 3 >= x1 + 2 = a#(a(a(x1)))
41.80/10.97	     
41.80/10.97	     b#(b(a(b(x1)))) = x1 + 3 >= x1 + 3 = a#(a(a(a(x1))))
41.80/10.97	     
41.80/10.97	     a(a(b(a(x1)))) = x1 + 4 >= x1 + 4 = a(b(a(b(x1))))
41.80/10.97	     
41.80/10.97	     b(b(a(b(x1)))) = x1 + 4 >= x1 + 4 = a(b(b(a(x1))))
41.80/10.97	     
41.80/10.97	     b(b(a(b(x1)))) = x1 + 4 >= x1 + 4 = a(a(a(a(x1))))
41.80/10.97	    problem:
41.80/10.97	     DPs:
41.80/10.97	      a#(a(b(a(x1)))) -> a#(b(a(b(x1))))
41.80/10.97	      b#(b(a(b(x1)))) -> a#(b(b(a(x1))))
41.80/10.97	      b#(b(a(b(x1)))) -> a#(a(a(a(x1))))
41.80/10.97	     TRS:
41.80/10.97	      a(a(b(a(x1)))) -> a(b(a(b(x1))))
41.80/10.97	      b(b(a(b(x1)))) -> a(b(b(a(x1))))
41.80/10.97	      b(b(a(b(x1)))) -> a(a(a(a(x1))))
41.80/10.97	    SCC Processor:
41.80/10.97	     #sccs: 1
41.80/10.97	     #rules: 1
41.80/10.97	     #arcs: 56/9
41.80/10.97	     DPs:
41.80/10.97	      a#(a(b(a(x1)))) -> a#(b(a(b(x1))))
41.80/10.97	     TRS:
41.80/10.97	      a(a(b(a(x1)))) -> a(b(a(b(x1))))
41.80/10.97	      b(b(a(b(x1)))) -> a(b(b(a(x1))))
41.80/10.97	      b(b(a(b(x1)))) -> a(a(a(a(x1))))
41.80/10.97	     Root-Labeling Processor:
41.80/10.97	      DPs:
41.80/10.97	       a{#,(f4)}(f4(a)(a(b)(b(a)(a(f4)(x1))))) -> a{#,(f4)}(f4(b)(b(a)(a(b)(b(f4)(x1)))))
41.80/10.97	       a{#,(f4)}(f4(a)(a(b)(b(a)(a(a)(x1))))) -> a{#,(f4)}(f4(b)(b(a)(a(b)(b(a)(x1)))))
41.80/10.97	       a{#,(f4)}(f4(a)(a(b)(b(a)(a(b)(x1))))) -> a{#,(f4)}(f4(b)(b(a)(a(b)(b(b)(x1)))))
41.80/10.97	      TRS:
41.80/10.97	       a(a)(a(b)(b(a)(a(f4)(x1)))) -> a(b)(b(a)(a(b)(b(f4)(x1))))
41.80/10.97	       a(a)(a(b)(b(a)(a(a)(x1)))) -> a(b)(b(a)(a(b)(b(a)(x1))))
41.80/10.97	       a(a)(a(b)(b(a)(a(b)(x1)))) -> a(b)(b(a)(a(b)(b(b)(x1))))
41.80/10.97	       f4(b)(b(b)(b(a)(a(b)(b(f4)(x1))))) -> f4(a)(a(b)(b(b)(b(a)(a(f4)(x1)))))
41.80/10.97	       f4(b)(b(b)(b(a)(a(b)(b(a)(x1))))) -> f4(a)(a(b)(b(b)(b(a)(a(a)(x1)))))
41.80/10.97	       f4(b)(b(b)(b(a)(a(b)(b(b)(x1))))) -> f4(a)(a(b)(b(b)(b(a)(a(b)(x1)))))
41.80/10.97	       a(b)(b(b)(b(a)(a(b)(b(f4)(x1))))) -> a(a)(a(b)(b(b)(b(a)(a(f4)(x1)))))
41.80/10.97	       a(b)(b(b)(b(a)(a(b)(b(a)(x1))))) -> a(a)(a(b)(b(b)(b(a)(a(a)(x1)))))
41.80/10.97	       a(b)(b(b)(b(a)(a(b)(b(b)(x1))))) -> a(a)(a(b)(b(b)(b(a)(a(b)(x1)))))
41.80/10.97	       b(b)(b(b)(b(a)(a(b)(b(f4)(x1))))) -> b(a)(a(b)(b(b)(b(a)(a(f4)(x1)))))
41.80/10.97	       b(b)(b(b)(b(a)(a(b)(b(a)(x1))))) -> b(a)(a(b)(b(b)(b(a)(a(a)(x1)))))
41.80/10.97	       b(b)(b(b)(b(a)(a(b)(b(b)(x1))))) -> b(a)(a(b)(b(b)(b(a)(a(b)(x1)))))
41.80/10.97	       f4(b)(b(b)(b(a)(a(b)(b(f4)(x1))))) -> f4(a)(a(a)(a(a)(a(a)(a(f4)(x1)))))
41.80/10.97	       f4(b)(b(b)(b(a)(a(b)(b(a)(x1))))) -> f4(a)(a(a)(a(a)(a(a)(a(a)(x1)))))
41.80/10.97	       f4(b)(b(b)(b(a)(a(b)(b(b)(x1))))) -> f4(a)(a(a)(a(a)(a(a)(a(b)(x1)))))
42.17/11.37	       a(b)(b(b)(b(a)(a(b)(b(f4)(x1))))) -> a(a)(a(a)(a(a)(a(a)(a(f4)(x1)))))
42.17/11.37	       a(b)(b(b)(b(a)(a(b)(b(a)(x1))))) -> a(a)(a(a)(a(a)(a(a)(a(a)(x1)))))
42.17/11.37	       a(b)(b(b)(b(a)(a(b)(b(b)(x1))))) -> a(a)(a(a)(a(a)(a(a)(a(b)(x1)))))
42.17/11.37	       b(b)(b(b)(b(a)(a(b)(b(f4)(x1))))) -> b(a)(a(a)(a(a)(a(a)(a(f4)(x1)))))
42.17/11.37	       b(b)(b(b)(b(a)(a(b)(b(a)(x1))))) -> b(a)(a(a)(a(a)(a(a)(a(a)(x1)))))
42.17/11.37	       b(b)(b(b)(b(a)(a(b)(b(b)(x1))))) -> b(a)(a(a)(a(a)(a(a)(a(b)(x1)))))
42.17/11.37	      Usable Rule Processor:
42.17/11.37	       DPs:
42.17/11.37	        a{#,(f4)}(f4(a)(a(b)(b(a)(a(f4)(x1))))) -> a{#,(f4)}(f4(b)(b(a)(a(b)(b(f4)(x1)))))
42.17/11.37	        a{#,(f4)}(f4(a)(a(b)(b(a)(a(a)(x1))))) -> a{#,(f4)}(f4(b)(b(a)(a(b)(b(a)(x1)))))
42.17/11.37	        a{#,(f4)}(f4(a)(a(b)(b(a)(a(b)(x1))))) -> a{#,(f4)}(f4(b)(b(a)(a(b)(b(b)(x1)))))
42.17/11.37	       TRS:
42.17/11.37	        b(b)(b(b)(b(a)(a(b)(b(f4)(x1))))) -> b(a)(a(b)(b(b)(b(a)(a(f4)(x1)))))
42.17/11.37	        b(b)(b(b)(b(a)(a(b)(b(a)(x1))))) -> b(a)(a(b)(b(b)(b(a)(a(a)(x1)))))
42.17/11.37	        b(b)(b(b)(b(a)(a(b)(b(b)(x1))))) -> b(a)(a(b)(b(b)(b(a)(a(b)(x1)))))
42.17/11.37	        b(b)(b(b)(b(a)(a(b)(b(f4)(x1))))) -> b(a)(a(a)(a(a)(a(a)(a(f4)(x1)))))
42.17/11.37	        b(b)(b(b)(b(a)(a(b)(b(a)(x1))))) -> b(a)(a(a)(a(a)(a(a)(a(a)(x1)))))
42.17/11.37	        b(b)(b(b)(b(a)(a(b)(b(b)(x1))))) -> b(a)(a(a)(a(a)(a(a)(a(b)(x1)))))
42.17/11.37	        a(a)(a(b)(b(a)(a(f4)(x1)))) -> a(b)(b(a)(a(b)(b(f4)(x1))))
42.17/11.37	        a(a)(a(b)(b(a)(a(a)(x1)))) -> a(b)(b(a)(a(b)(b(a)(x1))))
42.17/11.37	        a(a)(a(b)(b(a)(a(b)(x1)))) -> a(b)(b(a)(a(b)(b(b)(x1))))
42.17/11.37	        a(b)(b(b)(b(a)(a(b)(b(f4)(x1))))) -> a(a)(a(b)(b(b)(b(a)(a(f4)(x1)))))
42.17/11.37	        a(b)(b(b)(b(a)(a(b)(b(a)(x1))))) -> a(a)(a(b)(b(b)(b(a)(a(a)(x1)))))
42.17/11.37	        a(b)(b(b)(b(a)(a(b)(b(b)(x1))))) -> a(a)(a(b)(b(b)(b(a)(a(b)(x1)))))
42.17/11.37	        a(b)(b(b)(b(a)(a(b)(b(f4)(x1))))) -> a(a)(a(a)(a(a)(a(a)(a(f4)(x1)))))
42.17/11.37	        a(b)(b(b)(b(a)(a(b)(b(a)(x1))))) -> a(a)(a(a)(a(a)(a(a)(a(a)(x1)))))
42.17/11.37	        a(b)(b(b)(b(a)(a(b)(b(b)(x1))))) -> a(a)(a(a)(a(a)(a(a)(a(b)(x1)))))
42.17/11.37	       Polynomial Interpretation Processor:
42.17/11.37	        dimension: 1
42.17/11.37	        interpretation:
42.17/11.37	         [b(b)](x0) = x0,
42.17/11.37	         
42.17/11.37	         [a(a)](x0) = x0,
42.17/11.37	         
42.17/11.37	         [b(f4)](x0) = x0,
42.17/11.37	         
42.17/11.37	         [f4(b)](x0) = x0,
42.17/11.37	         
42.17/11.37	         [a(f4)](x0) = x0,
42.17/11.37	         
42.17/11.37	         [b(a)](x0) = x0,
42.17/11.37	         
42.17/11.37	         [a(b)](x0) = x0,
42.17/11.37	         
42.17/11.37	         [f4(a)](x0) = x0 + 1,
42.17/11.37	         
42.17/11.37	         [a{#,(f4)}](x0) = x0
42.17/11.37	        orientation:
42.17/11.37	         a{#,(f4)}(f4(a)(a(b)(b(a)(a(f4)(x1))))) = x1 + 1 >= x1 = a{#,(f4)}(f4(b)(b(a)(a(b)(b(f4)(x1)))))
42.17/11.37	         
42.17/11.37	         a{#,(f4)}(f4(a)(a(b)(b(a)(a(a)(x1))))) = x1 + 1 >= x1 = a{#,(f4)}(f4(b)(b(a)(a(b)(b(a)(x1)))))
42.17/11.37	         
42.17/11.37	         a{#,(f4)}(f4(a)(a(b)(b(a)(a(b)(x1))))) = x1 + 1 >= x1 = a{#,(f4)}(f4(b)(b(a)(a(b)(b(b)(x1)))))
42.17/11.37	         
42.17/11.37	         b(b)(b(b)(b(a)(a(b)(b(f4)(x1))))) = x1 >= x1 = b(a)(a(b)(b(b)(b(a)(a(f4)(x1)))))
42.17/11.37	         
42.17/11.37	         b(b)(b(b)(b(a)(a(b)(b(a)(x1))))) = x1 >= x1 = b(a)(a(b)(b(b)(b(a)(a(a)(x1)))))
42.17/11.37	         
42.17/11.37	         b(b)(b(b)(b(a)(a(b)(b(b)(x1))))) = x1 >= x1 = b(a)(a(b)(b(b)(b(a)(a(b)(x1)))))
42.17/11.37	         
42.17/11.37	         b(b)(b(b)(b(a)(a(b)(b(f4)(x1))))) = x1 >= x1 = b(a)(a(a)(a(a)(a(a)(a(f4)(x1)))))
42.17/11.37	         
42.17/11.37	         b(b)(b(b)(b(a)(a(b)(b(a)(x1))))) = x1 >= x1 = b(a)(a(a)(a(a)(a(a)(a(a)(x1)))))
42.17/11.37	         
42.17/11.37	         b(b)(b(b)(b(a)(a(b)(b(b)(x1))))) = x1 >= x1 = b(a)(a(a)(a(a)(a(a)(a(b)(x1)))))
42.17/11.37	         
42.17/11.37	         a(a)(a(b)(b(a)(a(f4)(x1)))) = x1 >= x1 = a(b)(b(a)(a(b)(b(f4)(x1))))
42.17/11.37	         
42.17/11.37	         a(a)(a(b)(b(a)(a(a)(x1)))) = x1 >= x1 = a(b)(b(a)(a(b)(b(a)(x1))))
42.17/11.37	         
42.17/11.37	         a(a)(a(b)(b(a)(a(b)(x1)))) = x1 >= x1 = a(b)(b(a)(a(b)(b(b)(x1))))
42.17/11.37	         
42.17/11.37	         a(b)(b(b)(b(a)(a(b)(b(f4)(x1))))) = x1 >= x1 = a(a)(a(b)(b(b)(b(a)(a(f4)(x1)))))
42.17/11.37	         
42.17/11.37	         a(b)(b(b)(b(a)(a(b)(b(a)(x1))))) = x1 >= x1 = a(a)(a(b)(b(b)(b(a)(a(a)(x1)))))
42.17/11.37	         
42.17/11.37	         a(b)(b(b)(b(a)(a(b)(b(b)(x1))))) = x1 >= x1 = a(a)(a(b)(b(b)(b(a)(a(b)(x1)))))
42.17/11.37	         
42.17/11.37	         a(b)(b(b)(b(a)(a(b)(b(f4)(x1))))) = x1 >= x1 = a(a)(a(a)(a(a)(a(a)(a(f4)(x1)))))
42.17/11.37	         
42.17/11.37	         a(b)(b(b)(b(a)(a(b)(b(a)(x1))))) = x1 >= x1 = a(a)(a(a)(a(a)(a(a)(a(a)(x1)))))
42.17/11.37	         
42.17/11.37	         a(b)(b(b)(b(a)(a(b)(b(b)(x1))))) = x1 >= x1 = a(a)(a(a)(a(a)(a(a)(a(b)(x1)))))
42.17/11.37	        problem:
42.17/11.37	         DPs:
42.17/11.37	          
42.17/11.37	         TRS:
42.17/11.37	          b(b)(b(b)(b(a)(a(b)(b(f4)(x1))))) -> b(a)(a(b)(b(b)(b(a)(a(f4)(x1)))))
42.17/11.37	          b(b)(b(b)(b(a)(a(b)(b(a)(x1))))) -> b(a)(a(b)(b(b)(b(a)(a(a)(x1)))))
42.17/11.37	          b(b)(b(b)(b(a)(a(b)(b(b)(x1))))) -> b(a)(a(b)(b(b)(b(a)(a(b)(x1)))))
42.17/11.37	          b(b)(b(b)(b(a)(a(b)(b(f4)(x1))))) -> b(a)(a(a)(a(a)(a(a)(a(f4)(x1)))))
42.17/11.37	          b(b)(b(b)(b(a)(a(b)(b(a)(x1))))) -> b(a)(a(a)(a(a)(a(a)(a(a)(x1)))))
42.17/11.37	          b(b)(b(b)(b(a)(a(b)(b(b)(x1))))) -> b(a)(a(a)(a(a)(a(a)(a(b)(x1)))))
42.17/11.37	          a(a)(a(b)(b(a)(a(f4)(x1)))) -> a(b)(b(a)(a(b)(b(f4)(x1))))
42.17/11.37	          a(a)(a(b)(b(a)(a(a)(x1)))) -> a(b)(b(a)(a(b)(b(a)(x1))))
42.17/11.37	          a(a)(a(b)(b(a)(a(b)(x1)))) -> a(b)(b(a)(a(b)(b(b)(x1))))
42.17/11.37	          a(b)(b(b)(b(a)(a(b)(b(f4)(x1))))) -> a(a)(a(b)(b(b)(b(a)(a(f4)(x1)))))
42.17/11.37	          a(b)(b(b)(b(a)(a(b)(b(a)(x1))))) -> a(a)(a(b)(b(b)(b(a)(a(a)(x1)))))
42.17/11.37	          a(b)(b(b)(b(a)(a(b)(b(b)(x1))))) -> a(a)(a(b)(b(b)(b(a)(a(b)(x1)))))
42.17/11.37	          a(b)(b(b)(b(a)(a(b)(b(f4)(x1))))) -> a(a)(a(a)(a(a)(a(a)(a(f4)(x1)))))
42.17/11.37	          a(b)(b(b)(b(a)(a(b)(b(a)(x1))))) -> a(a)(a(a)(a(a)(a(a)(a(a)(x1)))))
42.17/11.37	          a(b)(b(b)(b(a)(a(b)(b(b)(x1))))) -> a(a)(a(a)(a(a)(a(a)(a(b)(x1)))))
42.17/11.37	        Qed
42.20/11.38	EOF