42.11/10.99	YES
42.11/11.00	
42.11/11.00	Problem:
42.11/11.00	 a(b(a(x1))) -> b(x1)
42.11/11.00	 b(a(b(x1))) -> b(b(b(x1)))
42.11/11.00	 b(b(x1)) -> a(a(a(x1)))
42.11/11.00	
42.11/11.00	Proof:
42.11/11.00	 DP Processor:
42.11/11.00	  DPs:
42.11/11.00	   a#(b(a(x1))) -> b#(x1)
42.11/11.00	   b#(a(b(x1))) -> b#(b(x1))
42.11/11.00	   b#(a(b(x1))) -> b#(b(b(x1)))
42.11/11.00	   b#(b(x1)) -> a#(x1)
42.11/11.00	   b#(b(x1)) -> a#(a(x1))
42.11/11.00	   b#(b(x1)) -> a#(a(a(x1)))
42.11/11.00	  TRS:
42.11/11.00	   a(b(a(x1))) -> b(x1)
42.11/11.00	   b(a(b(x1))) -> b(b(b(x1)))
42.11/11.00	   b(b(x1)) -> a(a(a(x1)))
42.11/11.00	  TDG Processor:
42.11/11.00	   DPs:
42.11/11.00	    a#(b(a(x1))) -> b#(x1)
42.11/11.00	    b#(a(b(x1))) -> b#(b(x1))
42.11/11.00	    b#(a(b(x1))) -> b#(b(b(x1)))
42.11/11.00	    b#(b(x1)) -> a#(x1)
42.11/11.00	    b#(b(x1)) -> a#(a(x1))
42.11/11.00	    b#(b(x1)) -> a#(a(a(x1)))
42.11/11.00	   TRS:
42.11/11.00	    a(b(a(x1))) -> b(x1)
42.11/11.00	    b(a(b(x1))) -> b(b(b(x1)))
42.11/11.00	    b(b(x1)) -> a(a(a(x1)))
42.11/11.00	   graph:
42.11/11.00	    b#(b(x1)) -> a#(a(a(x1))) -> a#(b(a(x1))) -> b#(x1)
42.11/11.00	    b#(b(x1)) -> a#(a(x1)) -> a#(b(a(x1))) -> b#(x1)
42.11/11.00	    b#(b(x1)) -> a#(x1) -> a#(b(a(x1))) -> b#(x1)
42.11/11.00	    b#(a(b(x1))) -> b#(b(b(x1))) -> b#(b(x1)) -> a#(a(a(x1)))
42.11/11.00	    b#(a(b(x1))) -> b#(b(b(x1))) -> b#(b(x1)) -> a#(a(x1))
42.11/11.00	    b#(a(b(x1))) -> b#(b(b(x1))) -> b#(b(x1)) -> a#(x1)
42.11/11.00	    b#(a(b(x1))) -> b#(b(b(x1))) -> b#(a(b(x1))) -> b#(b(b(x1)))
42.11/11.00	    b#(a(b(x1))) -> b#(b(b(x1))) -> b#(a(b(x1))) -> b#(b(x1))
42.11/11.00	    b#(a(b(x1))) -> b#(b(x1)) -> b#(b(x1)) -> a#(a(a(x1)))
42.11/11.00	    b#(a(b(x1))) -> b#(b(x1)) -> b#(b(x1)) -> a#(a(x1))
42.11/11.00	    b#(a(b(x1))) -> b#(b(x1)) -> b#(b(x1)) -> a#(x1)
42.11/11.00	    b#(a(b(x1))) -> b#(b(x1)) -> b#(a(b(x1))) -> b#(b(b(x1)))
42.11/11.00	    b#(a(b(x1))) -> b#(b(x1)) -> b#(a(b(x1))) -> b#(b(x1))
42.11/11.00	    a#(b(a(x1))) -> b#(x1) -> b#(b(x1)) -> a#(a(a(x1)))
42.11/11.00	    a#(b(a(x1))) -> b#(x1) -> b#(b(x1)) -> a#(a(x1))
42.11/11.00	    a#(b(a(x1))) -> b#(x1) -> b#(b(x1)) -> a#(x1)
42.11/11.00	    a#(b(a(x1))) -> b#(x1) -> b#(a(b(x1))) -> b#(b(b(x1)))
42.11/11.00	    a#(b(a(x1))) -> b#(x1) -> b#(a(b(x1))) -> b#(b(x1))
42.11/11.00	   Root-Labeling Processor:
42.11/11.00	    DPs:
42.11/11.00	     a{#,(f4)}(f4(b)(b(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(f4)(x1))
42.11/11.00	     a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) -> b{#,(f4)}(f4(a)(x1))
42.11/11.00	     a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(x1))
42.11/11.00	     b{#,(f4)}(f4(a)(a(b)(b(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(f4)(x1)))
42.11/11.00	     b{#,(f4)}(f4(a)(a(b)(b(a)(x1)))) -> b{#,(f4)}(f4(b)(b(a)(x1)))
42.11/11.00	     b{#,(f4)}(f4(a)(a(b)(b(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(x1)))
42.11/11.00	     b{#,(f4)}(f4(a)(a(b)(b(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(f4)(x1))))
42.11/11.00	     b{#,(f4)}(f4(a)(a(b)(b(a)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(a)(x1))))
42.11/11.00	     b{#,(f4)}(f4(a)(a(b)(b(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(x1))))
42.11/11.00	     b{#,(f4)}(f4(b)(b(f4)(x1))) -> a{#,(f4)}(f4(f4)(x1))
42.11/11.00	     b{#,(f4)}(f4(b)(b(a)(x1))) -> a{#,(f4)}(f4(a)(x1))
42.11/11.00	     b{#,(f4)}(f4(b)(b(b)(x1))) -> a{#,(f4)}(f4(b)(x1))
42.11/11.00	     b{#,(f4)}(f4(b)(b(f4)(x1))) -> a{#,(f4)}(f4(a)(a(f4)(x1)))
42.11/11.00	     b{#,(f4)}(f4(b)(b(a)(x1))) -> a{#,(f4)}(f4(a)(a(a)(x1)))
42.11/11.00	     b{#,(f4)}(f4(b)(b(b)(x1))) -> a{#,(f4)}(f4(a)(a(b)(x1)))
42.11/11.00	     b{#,(f4)}(f4(b)(b(f4)(x1))) -> a{#,(f4)}(f4(a)(a(a)(a(f4)(x1))))
42.11/11.00	     b{#,(f4)}(f4(b)(b(a)(x1))) -> a{#,(f4)}(f4(a)(a(a)(a(a)(x1))))
42.11/11.00	     b{#,(f4)}(f4(b)(b(b)(x1))) -> a{#,(f4)}(f4(a)(a(a)(a(b)(x1))))
42.11/11.00	    TRS:
42.11/11.00	     f4(a)(a(b)(b(a)(a(f4)(x1)))) -> f4(b)(b(f4)(x1))
42.11/11.00	     f4(a)(a(b)(b(a)(a(a)(x1)))) -> f4(b)(b(a)(x1))
42.11/11.00	     f4(a)(a(b)(b(a)(a(b)(x1)))) -> f4(b)(b(b)(x1))
42.11/11.00	     a(a)(a(b)(b(a)(a(f4)(x1)))) -> a(b)(b(f4)(x1))
42.11/11.00	     a(a)(a(b)(b(a)(a(a)(x1)))) -> a(b)(b(a)(x1))
42.11/11.00	     a(a)(a(b)(b(a)(a(b)(x1)))) -> a(b)(b(b)(x1))
42.11/11.00	     b(a)(a(b)(b(a)(a(f4)(x1)))) -> b(b)(b(f4)(x1))
42.11/11.00	     b(a)(a(b)(b(a)(a(a)(x1)))) -> b(b)(b(a)(x1))
42.11/11.00	     b(a)(a(b)(b(a)(a(b)(x1)))) -> b(b)(b(b)(x1))
42.11/11.00	     b(a)(a(b)(b(f4)(x1))) -> b(b)(b(b)(b(f4)(x1)))
42.11/11.00	     b(a)(a(b)(b(a)(x1))) -> b(b)(b(b)(b(a)(x1)))
42.11/11.00	     b(a)(a(b)(b(b)(x1))) -> b(b)(b(b)(b(b)(x1)))
42.11/11.00	     f4(b)(b(b)(b(f4)(x1))) -> f4(a)(a(a)(a(a)(a(f4)(x1))))
42.11/11.00	     f4(b)(b(b)(b(a)(x1))) -> f4(a)(a(a)(a(a)(a(a)(x1))))
42.11/11.00	     f4(b)(b(b)(b(b)(x1))) -> f4(a)(a(a)(a(a)(a(b)(x1))))
42.11/11.00	     a(b)(b(b)(b(f4)(x1))) -> a(a)(a(a)(a(a)(a(f4)(x1))))
42.11/11.00	     a(b)(b(b)(b(a)(x1))) -> a(a)(a(a)(a(a)(a(a)(x1))))
42.11/11.00	     a(b)(b(b)(b(b)(x1))) -> a(a)(a(a)(a(a)(a(b)(x1))))
42.11/11.00	     b(b)(b(b)(b(f4)(x1))) -> b(a)(a(a)(a(a)(a(f4)(x1))))
42.11/11.00	     b(b)(b(b)(b(a)(x1))) -> b(a)(a(a)(a(a)(a(a)(x1))))
42.11/11.00	     b(b)(b(b)(b(b)(x1))) -> b(a)(a(a)(a(a)(a(b)(x1))))
42.11/11.00	    TDG Processor:
42.11/11.00	     DPs:
42.11/11.00	      a{#,(f4)}(f4(b)(b(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(f4)(x1))
42.11/11.01	      a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) -> b{#,(f4)}(f4(a)(x1))
42.11/11.01	      a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(x1))
42.11/11.01	      b{#,(f4)}(f4(a)(a(b)(b(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(f4)(x1)))
42.11/11.01	      b{#,(f4)}(f4(a)(a(b)(b(a)(x1)))) -> b{#,(f4)}(f4(b)(b(a)(x1)))
42.11/11.01	      b{#,(f4)}(f4(a)(a(b)(b(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(x1)))
42.11/11.01	      b{#,(f4)}(f4(a)(a(b)(b(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(f4)(x1))))
42.11/11.01	      b{#,(f4)}(f4(a)(a(b)(b(a)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(a)(x1))))
42.11/11.01	      b{#,(f4)}(f4(a)(a(b)(b(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(x1))))
42.11/11.01	      b{#,(f4)}(f4(b)(b(f4)(x1))) -> a{#,(f4)}(f4(f4)(x1))
42.11/11.01	      b{#,(f4)}(f4(b)(b(a)(x1))) -> a{#,(f4)}(f4(a)(x1))
42.11/11.01	      b{#,(f4)}(f4(b)(b(b)(x1))) -> a{#,(f4)}(f4(b)(x1))
42.11/11.01	      b{#,(f4)}(f4(b)(b(f4)(x1))) -> a{#,(f4)}(f4(a)(a(f4)(x1)))
42.11/11.01	      b{#,(f4)}(f4(b)(b(a)(x1))) -> a{#,(f4)}(f4(a)(a(a)(x1)))
42.11/11.01	      b{#,(f4)}(f4(b)(b(b)(x1))) -> a{#,(f4)}(f4(a)(a(b)(x1)))
42.11/11.01	      b{#,(f4)}(f4(b)(b(f4)(x1))) -> a{#,(f4)}(f4(a)(a(a)(a(f4)(x1))))
42.11/11.01	      b{#,(f4)}(f4(b)(b(a)(x1))) -> a{#,(f4)}(f4(a)(a(a)(a(a)(x1))))
42.11/11.01	      b{#,(f4)}(f4(b)(b(b)(x1))) -> a{#,(f4)}(f4(a)(a(a)(a(b)(x1))))
42.11/11.01	     TRS:
42.11/11.01	      f4(a)(a(b)(b(a)(a(f4)(x1)))) -> f4(b)(b(f4)(x1))
42.11/11.01	      f4(a)(a(b)(b(a)(a(a)(x1)))) -> f4(b)(b(a)(x1))
42.11/11.01	      f4(a)(a(b)(b(a)(a(b)(x1)))) -> f4(b)(b(b)(x1))
42.11/11.01	      a(a)(a(b)(b(a)(a(f4)(x1)))) -> a(b)(b(f4)(x1))
42.11/11.01	      a(a)(a(b)(b(a)(a(a)(x1)))) -> a(b)(b(a)(x1))
42.11/11.01	      a(a)(a(b)(b(a)(a(b)(x1)))) -> a(b)(b(b)(x1))
42.11/11.01	      b(a)(a(b)(b(a)(a(f4)(x1)))) -> b(b)(b(f4)(x1))
42.11/11.01	      b(a)(a(b)(b(a)(a(a)(x1)))) -> b(b)(b(a)(x1))
42.11/11.01	      b(a)(a(b)(b(a)(a(b)(x1)))) -> b(b)(b(b)(x1))
42.11/11.01	      b(a)(a(b)(b(f4)(x1))) -> b(b)(b(b)(b(f4)(x1)))
42.11/11.01	      b(a)(a(b)(b(a)(x1))) -> b(b)(b(b)(b(a)(x1)))
42.11/11.01	      b(a)(a(b)(b(b)(x1))) -> b(b)(b(b)(b(b)(x1)))
42.11/11.01	      f4(b)(b(b)(b(f4)(x1))) -> f4(a)(a(a)(a(a)(a(f4)(x1))))
42.11/11.01	      f4(b)(b(b)(b(a)(x1))) -> f4(a)(a(a)(a(a)(a(a)(x1))))
42.11/11.01	      f4(b)(b(b)(b(b)(x1))) -> f4(a)(a(a)(a(a)(a(b)(x1))))
42.11/11.01	      a(b)(b(b)(b(f4)(x1))) -> a(a)(a(a)(a(a)(a(f4)(x1))))
42.11/11.01	      a(b)(b(b)(b(a)(x1))) -> a(a)(a(a)(a(a)(a(a)(x1))))
42.11/11.01	      a(b)(b(b)(b(b)(x1))) -> a(a)(a(a)(a(a)(a(b)(x1))))
42.11/11.01	      b(b)(b(b)(b(f4)(x1))) -> b(a)(a(a)(a(a)(a(f4)(x1))))
42.11/11.01	      b(b)(b(b)(b(a)(x1))) -> b(a)(a(a)(a(a)(a(a)(x1))))
42.11/11.01	      b(b)(b(b)(b(b)(x1))) -> b(a)(a(a)(a(a)(a(b)(x1))))
42.11/11.01	     graph:
42.11/11.01	      b{#,(f4)}(f4(a)(a(b)(b(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) ->
42.11/11.01	      b{#,(f4)}(f4(b)(b(b)(x1))) -> a{#,(f4)}(f4(a)(a(a)(a(b)(x1))))
42.11/11.01	      b{#,(f4)}(f4(a)(a(b)(b(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) ->
42.11/11.01	      b{#,(f4)}(f4(b)(b(a)(x1))) -> a{#,(f4)}(f4(a)(a(a)(a(a)(x1))))
42.11/11.01	      b{#,(f4)}(f4(a)(a(b)(b(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) ->
42.11/11.01	      b{#,(f4)}(f4(b)(b(f4)(x1))) -> a{#,(f4)}(f4(a)(a(a)(a(f4)(x1))))
42.11/11.01	      b{#,(f4)}(f4(a)(a(b)(b(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) ->
42.11/11.01	      b{#,(f4)}(f4(b)(b(b)(x1))) -> a{#,(f4)}(f4(a)(a(b)(x1)))
42.11/11.01	      b{#,(f4)}(f4(a)(a(b)(b(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) ->
42.11/11.01	      b{#,(f4)}(f4(b)(b(a)(x1))) -> a{#,(f4)}(f4(a)(a(a)(x1)))
42.11/11.01	      b{#,(f4)}(f4(a)(a(b)(b(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) ->
42.11/11.01	      b{#,(f4)}(f4(b)(b(f4)(x1))) -> a{#,(f4)}(f4(a)(a(f4)(x1)))
42.11/11.01	      b{#,(f4)}(f4(a)(a(b)(b(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) ->
42.11/11.01	      b{#,(f4)}(f4(b)(b(b)(x1))) -> a{#,(f4)}(f4(b)(x1))
42.11/11.01	      b{#,(f4)}(f4(a)(a(b)(b(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) ->
42.11/11.01	      b{#,(f4)}(f4(b)(b(a)(x1))) -> a{#,(f4)}(f4(a)(x1))
42.11/11.01	      b{#,(f4)}(f4(a)(a(b)(b(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) ->
42.11/11.01	      b{#,(f4)}(f4(b)(b(f4)(x1))) -> a{#,(f4)}(f4(f4)(x1))
42.11/11.01	      b{#,(f4)}(f4(a)(a(b)(b(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) ->
42.11/11.01	      b{#,(f4)}(f4(a)(a(b)(b(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(x1))))
42.11/11.01	      b{#,(f4)}(f4(a)(a(b)(b(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) ->
42.11/11.01	      b{#,(f4)}(f4(a)(a(b)(b(a)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(a)(x1))))
42.11/11.01	      b{#,(f4)}(f4(a)(a(b)(b(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) ->
42.11/11.01	      b{#,(f4)}(f4(a)(a(b)(b(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(f4)(x1))))
42.11/11.01	      b{#,(f4)}(f4(a)(a(b)(b(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) ->
42.11/11.02	      b{#,(f4)}(f4(a)(a(b)(b(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(x1)))
42.11/11.02	      b{#,(f4)}(f4(a)(a(b)(b(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) ->
42.11/11.02	      b{#,(f4)}(f4(a)(a(b)(b(a)(x1)))) -> b{#,(f4)}(f4(b)(b(a)(x1)))
42.11/11.02	      b{#,(f4)}(f4(a)(a(b)(b(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) ->
42.11/11.02	      b{#,(f4)}(f4(a)(a(b)(b(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(f4)(x1)))
42.11/11.02	      b{#,(f4)}(f4(a)(a(b)(b(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(x1))) ->
42.11/11.02	      b{#,(f4)}(f4(b)(b(b)(x1))) -> a{#,(f4)}(f4(a)(a(a)(a(b)(x1))))
42.11/11.02	      b{#,(f4)}(f4(a)(a(b)(b(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(x1))) ->
42.11/11.02	      b{#,(f4)}(f4(b)(b(a)(x1))) -> a{#,(f4)}(f4(a)(a(a)(a(a)(x1))))
42.11/11.02	      b{#,(f4)}(f4(a)(a(b)(b(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(x1))) ->
42.11/11.02	      b{#,(f4)}(f4(b)(b(f4)(x1))) -> a{#,(f4)}(f4(a)(a(a)(a(f4)(x1))))
42.11/11.02	      b{#,(f4)}(f4(a)(a(b)(b(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(x1))) ->
42.11/11.02	      b{#,(f4)}(f4(b)(b(b)(x1))) -> a{#,(f4)}(f4(a)(a(b)(x1)))
42.11/11.02	      b{#,(f4)}(f4(a)(a(b)(b(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(x1))) ->
42.11/11.02	      b{#,(f4)}(f4(b)(b(a)(x1))) -> a{#,(f4)}(f4(a)(a(a)(x1)))
42.11/11.02	      b{#,(f4)}(f4(a)(a(b)(b(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(x1))) ->
42.11/11.02	      b{#,(f4)}(f4(b)(b(f4)(x1))) -> a{#,(f4)}(f4(a)(a(f4)(x1)))
42.11/11.02	      b{#,(f4)}(f4(a)(a(b)(b(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(x1))) ->
42.11/11.02	      b{#,(f4)}(f4(b)(b(b)(x1))) -> a{#,(f4)}(f4(b)(x1))
42.11/11.02	      b{#,(f4)}(f4(a)(a(b)(b(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(x1))) ->
42.11/11.02	      b{#,(f4)}(f4(b)(b(a)(x1))) -> a{#,(f4)}(f4(a)(x1))
42.11/11.02	      b{#,(f4)}(f4(a)(a(b)(b(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(x1))) ->
42.11/11.02	      b{#,(f4)}(f4(b)(b(f4)(x1))) -> a{#,(f4)}(f4(f4)(x1))
42.11/11.02	      b{#,(f4)}(f4(a)(a(b)(b(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(x1))) ->
42.11/11.02	      b{#,(f4)}(f4(a)(a(b)(b(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(x1))))
42.11/11.02	      b{#,(f4)}(f4(a)(a(b)(b(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(x1))) ->
42.11/11.02	      b{#,(f4)}(f4(a)(a(b)(b(a)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(a)(x1))))
42.11/11.02	      b{#,(f4)}(f4(a)(a(b)(b(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(x1))) ->
42.11/11.02	      b{#,(f4)}(f4(a)(a(b)(b(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(f4)(x1))))
42.11/11.02	      b{#,(f4)}(f4(a)(a(b)(b(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(x1))) ->
42.11/11.02	      b{#,(f4)}(f4(a)(a(b)(b(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(x1)))
42.11/11.02	      b{#,(f4)}(f4(a)(a(b)(b(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(x1))) ->
42.11/11.02	      b{#,(f4)}(f4(a)(a(b)(b(a)(x1)))) -> b{#,(f4)}(f4(b)(b(a)(x1)))
42.11/11.02	      b{#,(f4)}(f4(a)(a(b)(b(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(x1))) ->
42.11/11.02	      b{#,(f4)}(f4(a)(a(b)(b(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(f4)(x1)))
42.11/11.02	      b{#,(f4)}(f4(a)(a(b)(b(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) ->
42.11/11.02	      b{#,(f4)}(f4(b)(b(b)(x1))) -> a{#,(f4)}(f4(a)(a(a)(a(b)(x1))))
42.11/11.02	      b{#,(f4)}(f4(a)(a(b)(b(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) ->
42.11/11.02	      b{#,(f4)}(f4(b)(b(a)(x1))) -> a{#,(f4)}(f4(a)(a(a)(a(a)(x1))))
42.11/11.02	      b{#,(f4)}(f4(a)(a(b)(b(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) ->
42.11/11.02	      b{#,(f4)}(f4(b)(b(f4)(x1))) -> a{#,(f4)}(f4(a)(a(a)(a(f4)(x1))))
42.11/11.02	      b{#,(f4)}(f4(a)(a(b)(b(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) ->
42.11/11.02	      b{#,(f4)}(f4(b)(b(b)(x1))) -> a{#,(f4)}(f4(a)(a(b)(x1)))
42.11/11.02	      b{#,(f4)}(f4(a)(a(b)(b(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) ->
42.11/11.02	      b{#,(f4)}(f4(b)(b(a)(x1))) -> a{#,(f4)}(f4(a)(a(a)(x1)))
42.11/11.02	      b{#,(f4)}(f4(a)(a(b)(b(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) ->
42.11/11.02	      b{#,(f4)}(f4(b)(b(f4)(x1))) -> a{#,(f4)}(f4(a)(a(f4)(x1)))
42.11/11.02	      b{#,(f4)}(f4(a)(a(b)(b(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) ->
42.11/11.02	      b{#,(f4)}(f4(b)(b(b)(x1))) -> a{#,(f4)}(f4(b)(x1))
42.11/11.02	      b{#,(f4)}(f4(a)(a(b)(b(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) ->
42.11/11.02	      b{#,(f4)}(f4(b)(b(a)(x1))) -> a{#,(f4)}(f4(a)(x1))
42.11/11.02	      b{#,(f4)}(f4(a)(a(b)(b(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) ->
42.11/11.02	      b{#,(f4)}(f4(b)(b(f4)(x1))) -> a{#,(f4)}(f4(f4)(x1))
42.11/11.02	      b{#,(f4)}(f4(a)(a(b)(b(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) ->
42.11/11.02	      b{#,(f4)}(f4(a)(a(b)(b(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(x1))))
42.11/11.02	      b{#,(f4)}(f4(a)(a(b)(b(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) ->
42.11/11.02	      b{#,(f4)}(f4(a)(a(b)(b(a)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(a)(x1))))
42.11/11.03	      b{#,(f4)}(f4(a)(a(b)(b(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) ->
42.11/11.03	      b{#,(f4)}(f4(a)(a(b)(b(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(f4)(x1))))
42.11/11.03	      b{#,(f4)}(f4(a)(a(b)(b(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) ->
42.11/11.03	      b{#,(f4)}(f4(a)(a(b)(b(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(x1)))
42.11/11.03	      b{#,(f4)}(f4(a)(a(b)(b(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) ->
42.11/11.03	      b{#,(f4)}(f4(a)(a(b)(b(a)(x1)))) -> b{#,(f4)}(f4(b)(b(a)(x1)))
42.11/11.03	      b{#,(f4)}(f4(a)(a(b)(b(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) ->
42.11/11.03	      b{#,(f4)}(f4(a)(a(b)(b(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(f4)(x1)))
42.11/11.03	      b{#,(f4)}(f4(a)(a(b)(b(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(f4)(x1))) ->
42.11/11.03	      b{#,(f4)}(f4(b)(b(b)(x1))) -> a{#,(f4)}(f4(a)(a(a)(a(b)(x1))))
42.11/11.03	      b{#,(f4)}(f4(a)(a(b)(b(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(f4)(x1))) ->
42.11/11.03	      b{#,(f4)}(f4(b)(b(a)(x1))) -> a{#,(f4)}(f4(a)(a(a)(a(a)(x1))))
42.11/11.03	      b{#,(f4)}(f4(a)(a(b)(b(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(f4)(x1))) ->
42.11/11.03	      b{#,(f4)}(f4(b)(b(f4)(x1))) -> a{#,(f4)}(f4(a)(a(a)(a(f4)(x1))))
42.11/11.03	      b{#,(f4)}(f4(a)(a(b)(b(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(f4)(x1))) ->
42.11/11.03	      b{#,(f4)}(f4(b)(b(b)(x1))) -> a{#,(f4)}(f4(a)(a(b)(x1)))
42.11/11.03	      b{#,(f4)}(f4(a)(a(b)(b(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(f4)(x1))) ->
42.11/11.03	      b{#,(f4)}(f4(b)(b(a)(x1))) -> a{#,(f4)}(f4(a)(a(a)(x1)))
42.11/11.03	      b{#,(f4)}(f4(a)(a(b)(b(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(f4)(x1))) ->
42.11/11.03	      b{#,(f4)}(f4(b)(b(f4)(x1))) -> a{#,(f4)}(f4(a)(a(f4)(x1)))
42.11/11.03	      b{#,(f4)}(f4(a)(a(b)(b(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(f4)(x1))) ->
42.11/11.03	      b{#,(f4)}(f4(b)(b(b)(x1))) -> a{#,(f4)}(f4(b)(x1))
42.11/11.03	      b{#,(f4)}(f4(a)(a(b)(b(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(f4)(x1))) ->
42.11/11.03	      b{#,(f4)}(f4(b)(b(a)(x1))) -> a{#,(f4)}(f4(a)(x1))
42.11/11.03	      b{#,(f4)}(f4(a)(a(b)(b(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(f4)(x1))) ->
42.11/11.03	      b{#,(f4)}(f4(b)(b(f4)(x1))) -> a{#,(f4)}(f4(f4)(x1))
42.11/11.03	      b{#,(f4)}(f4(a)(a(b)(b(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(f4)(x1))) ->
42.11/11.03	      b{#,(f4)}(f4(a)(a(b)(b(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(x1))))
42.11/11.03	      b{#,(f4)}(f4(a)(a(b)(b(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(f4)(x1))) ->
42.11/11.03	      b{#,(f4)}(f4(a)(a(b)(b(a)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(a)(x1))))
42.11/11.03	      b{#,(f4)}(f4(a)(a(b)(b(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(f4)(x1))) ->
42.11/11.03	      b{#,(f4)}(f4(a)(a(b)(b(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(f4)(x1))))
42.11/11.03	      b{#,(f4)}(f4(a)(a(b)(b(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(f4)(x1))) ->
42.11/11.03	      b{#,(f4)}(f4(a)(a(b)(b(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(x1)))
42.11/11.03	      b{#,(f4)}(f4(a)(a(b)(b(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(f4)(x1))) ->
42.11/11.03	      b{#,(f4)}(f4(a)(a(b)(b(a)(x1)))) -> b{#,(f4)}(f4(b)(b(a)(x1)))
42.11/11.03	      b{#,(f4)}(f4(a)(a(b)(b(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(f4)(x1))) ->
42.11/11.03	      b{#,(f4)}(f4(a)(a(b)(b(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(f4)(x1)))
42.11/11.03	      b{#,(f4)}(f4(a)(a(b)(b(a)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) ->
42.11/11.03	      b{#,(f4)}(f4(b)(b(b)(x1))) -> a{#,(f4)}(f4(a)(a(a)(a(b)(x1))))
42.11/11.03	      b{#,(f4)}(f4(a)(a(b)(b(a)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) ->
42.11/11.03	      b{#,(f4)}(f4(b)(b(a)(x1))) -> a{#,(f4)}(f4(a)(a(a)(a(a)(x1))))
42.11/11.03	      b{#,(f4)}(f4(a)(a(b)(b(a)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) ->
42.11/11.03	      b{#,(f4)}(f4(b)(b(f4)(x1))) -> a{#,(f4)}(f4(a)(a(a)(a(f4)(x1))))
42.11/11.03	      b{#,(f4)}(f4(a)(a(b)(b(a)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) ->
42.11/11.03	      b{#,(f4)}(f4(b)(b(b)(x1))) -> a{#,(f4)}(f4(a)(a(b)(x1)))
42.11/11.03	      b{#,(f4)}(f4(a)(a(b)(b(a)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) ->
42.11/11.03	      b{#,(f4)}(f4(b)(b(a)(x1))) -> a{#,(f4)}(f4(a)(a(a)(x1)))
42.11/11.03	      b{#,(f4)}(f4(a)(a(b)(b(a)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) ->
42.11/11.03	      b{#,(f4)}(f4(b)(b(f4)(x1))) -> a{#,(f4)}(f4(a)(a(f4)(x1)))
42.11/11.03	      b{#,(f4)}(f4(a)(a(b)(b(a)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) ->
42.11/11.03	      b{#,(f4)}(f4(b)(b(b)(x1))) -> a{#,(f4)}(f4(b)(x1))
42.11/11.03	      b{#,(f4)}(f4(a)(a(b)(b(a)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) ->
42.11/11.03	      b{#,(f4)}(f4(b)(b(a)(x1))) -> a{#,(f4)}(f4(a)(x1))
42.11/11.03	      b{#,(f4)}(f4(a)(a(b)(b(a)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) ->
42.11/11.03	      b{#,(f4)}(f4(b)(b(f4)(x1))) -> a{#,(f4)}(f4(f4)(x1))
42.11/11.03	      b{#,(f4)}(f4(a)(a(b)(b(a)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) ->
42.32/11.04	      b{#,(f4)}(f4(a)(a(b)(b(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(x1))))
42.32/11.04	      b{#,(f4)}(f4(a)(a(b)(b(a)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) ->
42.32/11.04	      b{#,(f4)}(f4(a)(a(b)(b(a)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(a)(x1))))
42.32/11.04	      b{#,(f4)}(f4(a)(a(b)(b(a)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) ->
42.32/11.04	      b{#,(f4)}(f4(a)(a(b)(b(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(f4)(x1))))
42.32/11.04	      b{#,(f4)}(f4(a)(a(b)(b(a)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) ->
42.32/11.04	      b{#,(f4)}(f4(a)(a(b)(b(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(x1)))
42.32/11.04	      b{#,(f4)}(f4(a)(a(b)(b(a)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) ->
42.32/11.04	      b{#,(f4)}(f4(a)(a(b)(b(a)(x1)))) -> b{#,(f4)}(f4(b)(b(a)(x1)))
42.32/11.04	      b{#,(f4)}(f4(a)(a(b)(b(a)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) ->
42.32/11.04	      b{#,(f4)}(f4(a)(a(b)(b(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(f4)(x1)))
42.32/11.04	      b{#,(f4)}(f4(a)(a(b)(b(a)(x1)))) -> b{#,(f4)}(f4(b)(b(a)(x1))) ->
42.32/11.04	      b{#,(f4)}(f4(b)(b(b)(x1))) -> a{#,(f4)}(f4(a)(a(a)(a(b)(x1))))
42.32/11.04	      b{#,(f4)}(f4(a)(a(b)(b(a)(x1)))) -> b{#,(f4)}(f4(b)(b(a)(x1))) ->
42.32/11.04	      b{#,(f4)}(f4(b)(b(a)(x1))) -> a{#,(f4)}(f4(a)(a(a)(a(a)(x1))))
42.32/11.04	      b{#,(f4)}(f4(a)(a(b)(b(a)(x1)))) -> b{#,(f4)}(f4(b)(b(a)(x1))) ->
42.32/11.04	      b{#,(f4)}(f4(b)(b(f4)(x1))) -> a{#,(f4)}(f4(a)(a(a)(a(f4)(x1))))
42.32/11.04	      b{#,(f4)}(f4(a)(a(b)(b(a)(x1)))) -> b{#,(f4)}(f4(b)(b(a)(x1))) ->
42.32/11.04	      b{#,(f4)}(f4(b)(b(b)(x1))) -> a{#,(f4)}(f4(a)(a(b)(x1)))
42.32/11.04	      b{#,(f4)}(f4(a)(a(b)(b(a)(x1)))) -> b{#,(f4)}(f4(b)(b(a)(x1))) ->
42.32/11.04	      b{#,(f4)}(f4(b)(b(a)(x1))) -> a{#,(f4)}(f4(a)(a(a)(x1)))
42.32/11.04	      b{#,(f4)}(f4(a)(a(b)(b(a)(x1)))) -> b{#,(f4)}(f4(b)(b(a)(x1))) ->
42.32/11.04	      b{#,(f4)}(f4(b)(b(f4)(x1))) -> a{#,(f4)}(f4(a)(a(f4)(x1)))
42.32/11.04	      b{#,(f4)}(f4(a)(a(b)(b(a)(x1)))) -> b{#,(f4)}(f4(b)(b(a)(x1))) ->
42.32/11.04	      b{#,(f4)}(f4(b)(b(b)(x1))) -> a{#,(f4)}(f4(b)(x1))
42.32/11.04	      b{#,(f4)}(f4(a)(a(b)(b(a)(x1)))) -> b{#,(f4)}(f4(b)(b(a)(x1))) ->
42.32/11.04	      b{#,(f4)}(f4(b)(b(a)(x1))) -> a{#,(f4)}(f4(a)(x1))
42.32/11.04	      b{#,(f4)}(f4(a)(a(b)(b(a)(x1)))) -> b{#,(f4)}(f4(b)(b(a)(x1))) ->
42.32/11.04	      b{#,(f4)}(f4(b)(b(f4)(x1))) -> a{#,(f4)}(f4(f4)(x1))
42.32/11.04	      b{#,(f4)}(f4(a)(a(b)(b(a)(x1)))) -> b{#,(f4)}(f4(b)(b(a)(x1))) ->
42.32/11.04	      b{#,(f4)}(f4(a)(a(b)(b(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(x1))))
42.32/11.04	      b{#,(f4)}(f4(a)(a(b)(b(a)(x1)))) -> b{#,(f4)}(f4(b)(b(a)(x1))) ->
42.32/11.04	      b{#,(f4)}(f4(a)(a(b)(b(a)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(a)(x1))))
42.32/11.04	      b{#,(f4)}(f4(a)(a(b)(b(a)(x1)))) -> b{#,(f4)}(f4(b)(b(a)(x1))) ->
42.32/11.04	      b{#,(f4)}(f4(a)(a(b)(b(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(f4)(x1))))
42.32/11.04	      b{#,(f4)}(f4(a)(a(b)(b(a)(x1)))) -> b{#,(f4)}(f4(b)(b(a)(x1))) ->
42.32/11.04	      b{#,(f4)}(f4(a)(a(b)(b(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(x1)))
42.32/11.04	      b{#,(f4)}(f4(a)(a(b)(b(a)(x1)))) -> b{#,(f4)}(f4(b)(b(a)(x1))) ->
42.32/11.04	      b{#,(f4)}(f4(a)(a(b)(b(a)(x1)))) -> b{#,(f4)}(f4(b)(b(a)(x1)))
42.32/11.04	      b{#,(f4)}(f4(a)(a(b)(b(a)(x1)))) -> b{#,(f4)}(f4(b)(b(a)(x1))) ->
42.32/11.04	      b{#,(f4)}(f4(a)(a(b)(b(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(f4)(x1)))
42.32/11.04	      b{#,(f4)}(f4(b)(b(b)(x1))) -> a{#,(f4)}(f4(a)(a(b)(x1))) ->
42.32/11.04	      a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(x1))
42.32/11.04	      b{#,(f4)}(f4(b)(b(b)(x1))) -> a{#,(f4)}(f4(a)(a(b)(x1))) ->
42.32/11.04	      a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) -> b{#,(f4)}(f4(a)(x1))
42.32/11.04	      b{#,(f4)}(f4(b)(b(b)(x1))) -> a{#,(f4)}(f4(a)(a(b)(x1))) ->
42.32/11.04	      a{#,(f4)}(f4(b)(b(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(f4)(x1))
42.32/11.04	      b{#,(f4)}(f4(b)(b(b)(x1))) -> a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) ->
42.32/11.04	      a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(x1))
42.32/11.04	      b{#,(f4)}(f4(b)(b(b)(x1))) -> a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) ->
42.32/11.04	      a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) -> b{#,(f4)}(f4(a)(x1))
42.32/11.04	      b{#,(f4)}(f4(b)(b(b)(x1))) -> a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) ->
42.32/11.04	      a{#,(f4)}(f4(b)(b(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(f4)(x1))
42.32/11.04	      b{#,(f4)}(f4(b)(b(b)(x1))) -> a{#,(f4)}(f4(b)(x1)) ->
42.32/11.04	      a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(x1))
42.32/11.04	      b{#,(f4)}(f4(b)(b(b)(x1))) -> a{#,(f4)}(f4(b)(x1)) ->
42.32/11.04	      a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) -> b{#,(f4)}(f4(a)(x1))
42.32/11.04	      b{#,(f4)}(f4(b)(b(b)(x1))) -> a{#,(f4)}(f4(b)(x1)) ->
42.32/11.04	      a{#,(f4)}(f4(b)(b(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(f4)(x1))
42.32/11.05	      b{#,(f4)}(f4(b)(b(f4)(x1))) -> a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) ->
42.32/11.05	      a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(x1))
42.32/11.05	      b{#,(f4)}(f4(b)(b(f4)(x1))) -> a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) ->
42.32/11.05	      a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) -> b{#,(f4)}(f4(a)(x1))
42.32/11.05	      b{#,(f4)}(f4(b)(b(f4)(x1))) -> a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) ->
42.32/11.05	      a{#,(f4)}(f4(b)(b(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(f4)(x1))
42.32/11.05	      b{#,(f4)}(f4(b)(b(f4)(x1))) -> a{#,(f4)}(f4(a)(a(f4)(x1))) ->
42.32/11.05	      a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(x1))
42.32/11.05	      b{#,(f4)}(f4(b)(b(f4)(x1))) -> a{#,(f4)}(f4(a)(a(f4)(x1))) ->
42.32/11.05	      a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) -> b{#,(f4)}(f4(a)(x1))
42.32/11.05	      b{#,(f4)}(f4(b)(b(f4)(x1))) -> a{#,(f4)}(f4(a)(a(f4)(x1))) ->
42.32/11.05	      a{#,(f4)}(f4(b)(b(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(f4)(x1))
42.32/11.05	      b{#,(f4)}(f4(b)(b(f4)(x1))) -> a{#,(f4)}(f4(f4)(x1)) ->
42.32/11.05	      a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(x1))
42.32/11.05	      b{#,(f4)}(f4(b)(b(f4)(x1))) -> a{#,(f4)}(f4(f4)(x1)) ->
42.32/11.05	      a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) -> b{#,(f4)}(f4(a)(x1))
42.32/11.05	      b{#,(f4)}(f4(b)(b(f4)(x1))) -> a{#,(f4)}(f4(f4)(x1)) ->
42.32/11.05	      a{#,(f4)}(f4(b)(b(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(f4)(x1))
42.32/11.05	      b{#,(f4)}(f4(b)(b(a)(x1))) -> a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) ->
42.32/11.05	      a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(x1))
42.32/11.05	      b{#,(f4)}(f4(b)(b(a)(x1))) -> a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) ->
42.32/11.05	      a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) -> b{#,(f4)}(f4(a)(x1))
42.32/11.05	      b{#,(f4)}(f4(b)(b(a)(x1))) -> a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) ->
42.32/11.05	      a{#,(f4)}(f4(b)(b(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(f4)(x1))
42.32/11.05	      b{#,(f4)}(f4(b)(b(a)(x1))) -> a{#,(f4)}(f4(a)(a(a)(x1))) ->
42.32/11.05	      a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(x1))
42.32/11.05	      b{#,(f4)}(f4(b)(b(a)(x1))) -> a{#,(f4)}(f4(a)(a(a)(x1))) ->
42.32/11.05	      a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) -> b{#,(f4)}(f4(a)(x1))
42.32/11.05	      b{#,(f4)}(f4(b)(b(a)(x1))) -> a{#,(f4)}(f4(a)(a(a)(x1))) ->
42.32/11.05	      a{#,(f4)}(f4(b)(b(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(f4)(x1))
42.32/11.05	      b{#,(f4)}(f4(b)(b(a)(x1))) -> a{#,(f4)}(f4(a)(x1)) ->
42.32/11.05	      a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(x1))
42.32/11.05	      b{#,(f4)}(f4(b)(b(a)(x1))) -> a{#,(f4)}(f4(a)(x1)) ->
42.32/11.05	      a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) -> b{#,(f4)}(f4(a)(x1))
42.32/11.05	      b{#,(f4)}(f4(b)(b(a)(x1))) -> a{#,(f4)}(f4(a)(x1)) ->
42.32/11.05	      a{#,(f4)}(f4(b)(b(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(f4)(x1))
42.32/11.05	      a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(x1)) ->
42.32/11.05	      b{#,(f4)}(f4(b)(b(b)(x1))) -> a{#,(f4)}(f4(a)(a(a)(a(b)(x1))))
42.32/11.05	      a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(x1)) ->
42.32/11.05	      b{#,(f4)}(f4(b)(b(a)(x1))) -> a{#,(f4)}(f4(a)(a(a)(a(a)(x1))))
42.32/11.05	      a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(x1)) ->
42.32/11.05	      b{#,(f4)}(f4(b)(b(f4)(x1))) -> a{#,(f4)}(f4(a)(a(a)(a(f4)(x1))))
42.32/11.05	      a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(x1)) ->
42.32/11.05	      b{#,(f4)}(f4(b)(b(b)(x1))) -> a{#,(f4)}(f4(a)(a(b)(x1)))
42.32/11.05	      a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(x1)) ->
42.32/11.05	      b{#,(f4)}(f4(b)(b(a)(x1))) -> a{#,(f4)}(f4(a)(a(a)(x1)))
42.32/11.05	      a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(x1)) ->
42.32/11.05	      b{#,(f4)}(f4(b)(b(f4)(x1))) -> a{#,(f4)}(f4(a)(a(f4)(x1)))
42.32/11.05	      a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(x1)) ->
42.32/11.05	      b{#,(f4)}(f4(b)(b(b)(x1))) -> a{#,(f4)}(f4(b)(x1))
42.32/11.05	      a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(x1)) ->
42.32/11.05	      b{#,(f4)}(f4(b)(b(a)(x1))) -> a{#,(f4)}(f4(a)(x1))
42.32/11.05	      a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(x1)) ->
42.32/11.05	      b{#,(f4)}(f4(b)(b(f4)(x1))) -> a{#,(f4)}(f4(f4)(x1))
42.32/11.05	      a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(x1)) ->
42.32/11.05	      b{#,(f4)}(f4(a)(a(b)(b(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(x1))))
42.32/11.05	      a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(x1)) ->
42.32/11.05	      b{#,(f4)}(f4(a)(a(b)(b(a)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(a)(x1))))
42.32/11.05	      a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(x1)) ->
42.32/11.05	      b{#,(f4)}(f4(a)(a(b)(b(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(f4)(x1))))
42.32/11.05	      a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(x1)) ->
42.32/11.05	      b{#,(f4)}(f4(a)(a(b)(b(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(x1)))
42.32/11.05	      a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(x1)) ->
42.32/11.05	      b{#,(f4)}(f4(a)(a(b)(b(a)(x1)))) -> b{#,(f4)}(f4(b)(b(a)(x1)))
42.32/11.05	      a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(x1)) ->
42.32/11.05	      b{#,(f4)}(f4(a)(a(b)(b(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(f4)(x1)))
42.32/11.05	      a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) -> b{#,(f4)}(f4(a)(x1)) ->
42.32/11.05	      b{#,(f4)}(f4(b)(b(b)(x1))) -> a{#,(f4)}(f4(a)(a(a)(a(b)(x1))))
42.32/11.05	      a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) -> b{#,(f4)}(f4(a)(x1)) ->
42.32/11.05	      b{#,(f4)}(f4(b)(b(a)(x1))) -> a{#,(f4)}(f4(a)(a(a)(a(a)(x1))))
42.32/11.05	      a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) -> b{#,(f4)}(f4(a)(x1)) ->
42.32/11.05	      b{#,(f4)}(f4(b)(b(f4)(x1))) -> a{#,(f4)}(f4(a)(a(a)(a(f4)(x1))))
42.32/11.05	      a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) -> b{#,(f4)}(f4(a)(x1)) ->
42.32/11.05	      b{#,(f4)}(f4(b)(b(b)(x1))) -> a{#,(f4)}(f4(a)(a(b)(x1)))
42.32/11.05	      a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) -> b{#,(f4)}(f4(a)(x1)) ->
42.32/11.05	      b{#,(f4)}(f4(b)(b(a)(x1))) -> a{#,(f4)}(f4(a)(a(a)(x1)))
42.32/11.05	      a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) -> b{#,(f4)}(f4(a)(x1)) ->
42.32/11.05	      b{#,(f4)}(f4(b)(b(f4)(x1))) -> a{#,(f4)}(f4(a)(a(f4)(x1)))
42.32/11.05	      a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) -> b{#,(f4)}(f4(a)(x1)) ->
42.32/11.05	      b{#,(f4)}(f4(b)(b(b)(x1))) -> a{#,(f4)}(f4(b)(x1))
42.32/11.05	      a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) -> b{#,(f4)}(f4(a)(x1)) ->
42.32/11.05	      b{#,(f4)}(f4(b)(b(a)(x1))) -> a{#,(f4)}(f4(a)(x1))
42.32/11.05	      a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) -> b{#,(f4)}(f4(a)(x1)) ->
42.32/11.05	      b{#,(f4)}(f4(b)(b(f4)(x1))) -> a{#,(f4)}(f4(f4)(x1))
42.32/11.05	      a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) -> b{#,(f4)}(f4(a)(x1)) ->
42.32/11.05	      b{#,(f4)}(f4(a)(a(b)(b(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(x1))))
42.32/11.05	      a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) -> b{#,(f4)}(f4(a)(x1)) ->
42.32/11.05	      b{#,(f4)}(f4(a)(a(b)(b(a)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(a)(x1))))
42.32/11.05	      a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) -> b{#,(f4)}(f4(a)(x1)) ->
42.32/11.05	      b{#,(f4)}(f4(a)(a(b)(b(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(f4)(x1))))
42.32/11.05	      a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) -> b{#,(f4)}(f4(a)(x1)) ->
42.32/11.05	      b{#,(f4)}(f4(a)(a(b)(b(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(x1)))
42.32/11.05	      a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) -> b{#,(f4)}(f4(a)(x1)) ->
42.32/11.05	      b{#,(f4)}(f4(a)(a(b)(b(a)(x1)))) -> b{#,(f4)}(f4(b)(b(a)(x1)))
42.32/11.05	      a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) -> b{#,(f4)}(f4(a)(x1)) ->
42.32/11.05	      b{#,(f4)}(f4(a)(a(b)(b(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(f4)(x1)))
42.32/11.05	      a{#,(f4)}(f4(b)(b(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(f4)(x1)) ->
42.32/11.05	      b{#,(f4)}(f4(b)(b(b)(x1))) -> a{#,(f4)}(f4(a)(a(a)(a(b)(x1))))
42.32/11.05	      a{#,(f4)}(f4(b)(b(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(f4)(x1)) ->
42.32/11.05	      b{#,(f4)}(f4(b)(b(a)(x1))) -> a{#,(f4)}(f4(a)(a(a)(a(a)(x1))))
42.32/11.05	      a{#,(f4)}(f4(b)(b(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(f4)(x1)) ->
42.32/11.05	      b{#,(f4)}(f4(b)(b(f4)(x1))) -> a{#,(f4)}(f4(a)(a(a)(a(f4)(x1))))
42.32/11.05	      a{#,(f4)}(f4(b)(b(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(f4)(x1)) ->
42.32/11.05	      b{#,(f4)}(f4(b)(b(b)(x1))) -> a{#,(f4)}(f4(a)(a(b)(x1)))
42.32/11.05	      a{#,(f4)}(f4(b)(b(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(f4)(x1)) ->
42.32/11.05	      b{#,(f4)}(f4(b)(b(a)(x1))) -> a{#,(f4)}(f4(a)(a(a)(x1)))
42.32/11.05	      a{#,(f4)}(f4(b)(b(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(f4)(x1)) ->
42.32/11.05	      b{#,(f4)}(f4(b)(b(f4)(x1))) -> a{#,(f4)}(f4(a)(a(f4)(x1)))
42.32/11.05	      a{#,(f4)}(f4(b)(b(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(f4)(x1)) ->
42.32/11.05	      b{#,(f4)}(f4(b)(b(b)(x1))) -> a{#,(f4)}(f4(b)(x1))
42.32/11.05	      a{#,(f4)}(f4(b)(b(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(f4)(x1)) ->
42.32/11.05	      b{#,(f4)}(f4(b)(b(a)(x1))) -> a{#,(f4)}(f4(a)(x1))
42.32/11.05	      a{#,(f4)}(f4(b)(b(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(f4)(x1)) ->
42.32/11.05	      b{#,(f4)}(f4(b)(b(f4)(x1))) -> a{#,(f4)}(f4(f4)(x1))
42.32/11.05	      a{#,(f4)}(f4(b)(b(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(f4)(x1)) ->
42.32/11.05	      b{#,(f4)}(f4(a)(a(b)(b(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(x1))))
42.32/11.05	      a{#,(f4)}(f4(b)(b(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(f4)(x1)) ->
42.32/11.05	      b{#,(f4)}(f4(a)(a(b)(b(a)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(a)(x1))))
42.32/11.05	      a{#,(f4)}(f4(b)(b(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(f4)(x1)) ->
42.32/11.05	      b{#,(f4)}(f4(a)(a(b)(b(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(f4)(x1))))
42.32/11.05	      a{#,(f4)}(f4(b)(b(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(f4)(x1)) ->
42.32/11.05	      b{#,(f4)}(f4(a)(a(b)(b(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(x1)))
42.32/11.05	      a{#,(f4)}(f4(b)(b(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(f4)(x1)) ->
42.32/11.05	      b{#,(f4)}(f4(a)(a(b)(b(a)(x1)))) -> b{#,(f4)}(f4(b)(b(a)(x1)))
42.37/11.11	      a{#,(f4)}(f4(b)(b(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(f4)(x1)) ->
42.37/11.11	      b{#,(f4)}(f4(a)(a(b)(b(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(f4)(x1)))
42.37/11.11	     Polynomial Interpretation Processor:
42.37/11.11	      dimension: 1
42.37/11.11	      interpretation:
42.37/11.11	       [b(b)](x0) = x0,
42.37/11.11	       
42.37/11.11	       [b(f4)](x0) = x0 + 1,
42.37/11.11	       
42.37/11.11	       [a(b)](x0) = x0,
42.37/11.11	       
42.37/11.11	       [f4(a)](x0) = x0,
42.37/11.11	       
42.37/11.11	       [a(a)](x0) = x0,
42.37/11.11	       
42.37/11.11	       [f4(f4)](x0) = x0,
42.37/11.11	       
42.37/11.11	       [b{#,(f4)}](x0) = x0,
42.37/11.11	       
42.37/11.11	       [a(f4)](x0) = x0 + 1,
42.37/11.11	       
42.37/11.11	       [b(a)](x0) = x0,
42.37/11.11	       
42.37/11.11	       [f4(b)](x0) = x0,
42.37/11.11	       
42.37/11.11	       [a{#,(f4)}](x0) = x0
42.37/11.11	      orientation:
42.37/11.11	       a{#,(f4)}(f4(b)(b(a)(a(f4)(x1)))) = x1 + 1 >= x1 = b{#,(f4)}(f4(f4)(x1))
42.37/11.11	       
42.37/11.11	       a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) = x1 >= x1 = b{#,(f4)}(f4(a)(x1))
42.37/11.11	       
42.37/11.11	       a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) = x1 >= x1 = b{#,(f4)}(f4(b)(x1))
42.37/11.11	       
42.37/11.11	       b{#,(f4)}(f4(a)(a(b)(b(f4)(x1)))) = x1 + 1 >= x1 + 1 = b{#,(f4)}(f4(b)(b(f4)(x1)))
42.37/11.11	       
42.37/11.11	       b{#,(f4)}(f4(a)(a(b)(b(a)(x1)))) = x1 >= x1 = b{#,(f4)}(f4(b)(b(a)(x1)))
42.37/11.11	       
42.37/11.11	       b{#,(f4)}(f4(a)(a(b)(b(b)(x1)))) = x1 >= x1 = b{#,(f4)}(f4(b)(b(b)(x1)))
42.37/11.11	       
42.37/11.11	       b{#,(f4)}(f4(a)(a(b)(b(f4)(x1)))) = x1 + 1 >= x1 + 1 = b{#,(f4)}(f4(b)(b(b)(b(f4)(x1))))
42.37/11.11	       
42.37/11.11	       b{#,(f4)}(f4(a)(a(b)(b(a)(x1)))) = x1 >= x1 = b{#,(f4)}(f4(b)(b(b)(b(a)(x1))))
42.37/11.11	       
42.37/11.11	       b{#,(f4)}(f4(a)(a(b)(b(b)(x1)))) = x1 >= x1 = b{#,(f4)}(f4(b)(b(b)(b(b)(x1))))
42.37/11.11	       
42.37/11.11	       b{#,(f4)}(f4(b)(b(f4)(x1))) = x1 + 1 >= x1 = a{#,(f4)}(f4(f4)(x1))
42.37/11.11	       
42.37/11.11	       b{#,(f4)}(f4(b)(b(a)(x1))) = x1 >= x1 = a{#,(f4)}(f4(a)(x1))
42.37/11.11	       
42.37/11.11	       b{#,(f4)}(f4(b)(b(b)(x1))) = x1 >= x1 = a{#,(f4)}(f4(b)(x1))
42.37/11.11	       
42.37/11.11	       b{#,(f4)}(f4(b)(b(f4)(x1))) = x1 + 1 >= x1 + 1 = a{#,(f4)}(f4(a)(a(f4)(x1)))
42.37/11.11	       
42.37/11.11	       b{#,(f4)}(f4(b)(b(a)(x1))) = x1 >= x1 = a{#,(f4)}(f4(a)(a(a)(x1)))
42.37/11.11	       
42.37/11.11	       b{#,(f4)}(f4(b)(b(b)(x1))) = x1 >= x1 = a{#,(f4)}(f4(a)(a(b)(x1)))
42.37/11.11	       
42.37/11.11	       b{#,(f4)}(f4(b)(b(f4)(x1))) = x1 + 1 >= x1 + 1 = a{#,(f4)}(f4(a)(a(a)(a(f4)(x1))))
42.37/11.11	       
42.37/11.11	       b{#,(f4)}(f4(b)(b(a)(x1))) = x1 >= x1 = a{#,(f4)}(f4(a)(a(a)(a(a)(x1))))
42.37/11.11	       
42.37/11.11	       b{#,(f4)}(f4(b)(b(b)(x1))) = x1 >= x1 = a{#,(f4)}(f4(a)(a(a)(a(b)(x1))))
42.37/11.11	       
42.37/11.11	       f4(a)(a(b)(b(a)(a(f4)(x1)))) = x1 + 1 >= x1 + 1 = f4(b)(b(f4)(x1))
42.37/11.11	       
42.37/11.11	       f4(a)(a(b)(b(a)(a(a)(x1)))) = x1 >= x1 = f4(b)(b(a)(x1))
42.37/11.11	       
42.37/11.11	       f4(a)(a(b)(b(a)(a(b)(x1)))) = x1 >= x1 = f4(b)(b(b)(x1))
42.37/11.11	       
42.37/11.11	       a(a)(a(b)(b(a)(a(f4)(x1)))) = x1 + 1 >= x1 + 1 = a(b)(b(f4)(x1))
42.37/11.11	       
42.37/11.11	       a(a)(a(b)(b(a)(a(a)(x1)))) = x1 >= x1 = a(b)(b(a)(x1))
42.37/11.11	       
42.37/11.11	       a(a)(a(b)(b(a)(a(b)(x1)))) = x1 >= x1 = a(b)(b(b)(x1))
42.37/11.11	       
42.37/11.11	       b(a)(a(b)(b(a)(a(f4)(x1)))) = x1 + 1 >= x1 + 1 = b(b)(b(f4)(x1))
42.37/11.11	       
42.37/11.11	       b(a)(a(b)(b(a)(a(a)(x1)))) = x1 >= x1 = b(b)(b(a)(x1))
42.37/11.11	       
42.37/11.11	       b(a)(a(b)(b(a)(a(b)(x1)))) = x1 >= x1 = b(b)(b(b)(x1))
42.37/11.11	       
42.37/11.11	       b(a)(a(b)(b(f4)(x1))) = x1 + 1 >= x1 + 1 = b(b)(b(b)(b(f4)(x1)))
42.37/11.11	       
42.37/11.11	       b(a)(a(b)(b(a)(x1))) = x1 >= x1 = b(b)(b(b)(b(a)(x1)))
42.37/11.11	       
42.37/11.11	       b(a)(a(b)(b(b)(x1))) = x1 >= x1 = b(b)(b(b)(b(b)(x1)))
42.37/11.12	       
42.37/11.12	       f4(b)(b(b)(b(f4)(x1))) = x1 + 1 >= x1 + 1 = f4(a)(a(a)(a(a)(a(f4)(x1))))
42.37/11.12	       
42.37/11.12	       f4(b)(b(b)(b(a)(x1))) = x1 >= x1 = f4(a)(a(a)(a(a)(a(a)(x1))))
42.37/11.12	       
42.37/11.12	       f4(b)(b(b)(b(b)(x1))) = x1 >= x1 = f4(a)(a(a)(a(a)(a(b)(x1))))
42.37/11.12	       
42.37/11.12	       a(b)(b(b)(b(f4)(x1))) = x1 + 1 >= x1 + 1 = a(a)(a(a)(a(a)(a(f4)(x1))))
42.37/11.12	       
42.37/11.12	       a(b)(b(b)(b(a)(x1))) = x1 >= x1 = a(a)(a(a)(a(a)(a(a)(x1))))
42.37/11.12	       
42.37/11.12	       a(b)(b(b)(b(b)(x1))) = x1 >= x1 = a(a)(a(a)(a(a)(a(b)(x1))))
42.37/11.12	       
42.37/11.12	       b(b)(b(b)(b(f4)(x1))) = x1 + 1 >= x1 + 1 = b(a)(a(a)(a(a)(a(f4)(x1))))
42.37/11.12	       
42.37/11.12	       b(b)(b(b)(b(a)(x1))) = x1 >= x1 = b(a)(a(a)(a(a)(a(a)(x1))))
42.37/11.12	       
42.37/11.12	       b(b)(b(b)(b(b)(x1))) = x1 >= x1 = b(a)(a(a)(a(a)(a(b)(x1))))
42.37/11.12	      problem:
42.37/11.12	       DPs:
42.37/11.12	        a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) -> b{#,(f4)}(f4(a)(x1))
42.37/11.12	        a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(x1))
42.37/11.12	        b{#,(f4)}(f4(a)(a(b)(b(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(f4)(x1)))
42.37/11.12	        b{#,(f4)}(f4(a)(a(b)(b(a)(x1)))) -> b{#,(f4)}(f4(b)(b(a)(x1)))
42.37/11.13	        b{#,(f4)}(f4(a)(a(b)(b(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(x1)))
42.37/11.13	        b{#,(f4)}(f4(a)(a(b)(b(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(f4)(x1))))
42.37/11.13	        b{#,(f4)}(f4(a)(a(b)(b(a)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(a)(x1))))
42.37/11.13	        b{#,(f4)}(f4(a)(a(b)(b(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(x1))))
42.37/11.13	        b{#,(f4)}(f4(b)(b(a)(x1))) -> a{#,(f4)}(f4(a)(x1))
42.37/11.13	        b{#,(f4)}(f4(b)(b(b)(x1))) -> a{#,(f4)}(f4(b)(x1))
42.37/11.13	        b{#,(f4)}(f4(b)(b(f4)(x1))) -> a{#,(f4)}(f4(a)(a(f4)(x1)))
42.37/11.13	        b{#,(f4)}(f4(b)(b(a)(x1))) -> a{#,(f4)}(f4(a)(a(a)(x1)))
42.37/11.13	        b{#,(f4)}(f4(b)(b(b)(x1))) -> a{#,(f4)}(f4(a)(a(b)(x1)))
42.37/11.13	        b{#,(f4)}(f4(b)(b(f4)(x1))) -> a{#,(f4)}(f4(a)(a(a)(a(f4)(x1))))
42.37/11.13	        b{#,(f4)}(f4(b)(b(a)(x1))) -> a{#,(f4)}(f4(a)(a(a)(a(a)(x1))))
42.37/11.13	        b{#,(f4)}(f4(b)(b(b)(x1))) -> a{#,(f4)}(f4(a)(a(a)(a(b)(x1))))
42.37/11.13	       TRS:
42.37/11.13	        f4(a)(a(b)(b(a)(a(f4)(x1)))) -> f4(b)(b(f4)(x1))
42.37/11.13	        f4(a)(a(b)(b(a)(a(a)(x1)))) -> f4(b)(b(a)(x1))
42.37/11.13	        f4(a)(a(b)(b(a)(a(b)(x1)))) -> f4(b)(b(b)(x1))
42.37/11.13	        a(a)(a(b)(b(a)(a(f4)(x1)))) -> a(b)(b(f4)(x1))
42.37/11.13	        a(a)(a(b)(b(a)(a(a)(x1)))) -> a(b)(b(a)(x1))
42.37/11.13	        a(a)(a(b)(b(a)(a(b)(x1)))) -> a(b)(b(b)(x1))
42.37/11.13	        b(a)(a(b)(b(a)(a(f4)(x1)))) -> b(b)(b(f4)(x1))
42.37/11.13	        b(a)(a(b)(b(a)(a(a)(x1)))) -> b(b)(b(a)(x1))
42.37/11.13	        b(a)(a(b)(b(a)(a(b)(x1)))) -> b(b)(b(b)(x1))
42.37/11.13	        b(a)(a(b)(b(f4)(x1))) -> b(b)(b(b)(b(f4)(x1)))
42.37/11.13	        b(a)(a(b)(b(a)(x1))) -> b(b)(b(b)(b(a)(x1)))
42.37/11.13	        b(a)(a(b)(b(b)(x1))) -> b(b)(b(b)(b(b)(x1)))
42.37/11.13	        f4(b)(b(b)(b(f4)(x1))) -> f4(a)(a(a)(a(a)(a(f4)(x1))))
42.37/11.13	        f4(b)(b(b)(b(a)(x1))) -> f4(a)(a(a)(a(a)(a(a)(x1))))
42.37/11.13	        f4(b)(b(b)(b(b)(x1))) -> f4(a)(a(a)(a(a)(a(b)(x1))))
42.37/11.13	        a(b)(b(b)(b(f4)(x1))) -> a(a)(a(a)(a(a)(a(f4)(x1))))
42.37/11.13	        a(b)(b(b)(b(a)(x1))) -> a(a)(a(a)(a(a)(a(a)(x1))))
42.37/11.13	        a(b)(b(b)(b(b)(x1))) -> a(a)(a(a)(a(a)(a(b)(x1))))
42.37/11.13	        b(b)(b(b)(b(f4)(x1))) -> b(a)(a(a)(a(a)(a(f4)(x1))))
42.37/11.13	        b(b)(b(b)(b(a)(x1))) -> b(a)(a(a)(a(a)(a(a)(x1))))
42.37/11.13	        b(b)(b(b)(b(b)(x1))) -> b(a)(a(a)(a(a)(a(b)(x1))))
42.37/11.13	      Polynomial Interpretation Processor:
42.37/11.13	       dimension: 1
42.37/11.13	       usable rules:
42.37/11.13	        f4(a)(a(b)(b(a)(a(f4)(x1)))) -> f4(b)(b(f4)(x1))
42.37/11.13	        f4(a)(a(b)(b(a)(a(a)(x1)))) -> f4(b)(b(a)(x1))
42.37/11.13	        f4(a)(a(b)(b(a)(a(b)(x1)))) -> f4(b)(b(b)(x1))
42.37/11.13	        a(a)(a(b)(b(a)(a(f4)(x1)))) -> a(b)(b(f4)(x1))
42.37/11.13	        a(a)(a(b)(b(a)(a(a)(x1)))) -> a(b)(b(a)(x1))
42.37/11.13	        a(a)(a(b)(b(a)(a(b)(x1)))) -> a(b)(b(b)(x1))
42.37/11.13	        b(a)(a(b)(b(a)(a(f4)(x1)))) -> b(b)(b(f4)(x1))
42.37/11.13	        b(a)(a(b)(b(a)(a(a)(x1)))) -> b(b)(b(a)(x1))
42.37/11.13	        b(a)(a(b)(b(a)(a(b)(x1)))) -> b(b)(b(b)(x1))
42.37/11.13	        b(a)(a(b)(b(f4)(x1))) -> b(b)(b(b)(b(f4)(x1)))
42.37/11.13	        b(a)(a(b)(b(a)(x1))) -> b(b)(b(b)(b(a)(x1)))
42.37/11.13	        b(a)(a(b)(b(b)(x1))) -> b(b)(b(b)(b(b)(x1)))
42.37/11.13	        f4(b)(b(b)(b(f4)(x1))) -> f4(a)(a(a)(a(a)(a(f4)(x1))))
42.37/11.13	        f4(b)(b(b)(b(a)(x1))) -> f4(a)(a(a)(a(a)(a(a)(x1))))
42.37/11.13	        f4(b)(b(b)(b(b)(x1))) -> f4(a)(a(a)(a(a)(a(b)(x1))))
42.37/11.13	        a(b)(b(b)(b(f4)(x1))) -> a(a)(a(a)(a(a)(a(f4)(x1))))
42.37/11.13	        a(b)(b(b)(b(a)(x1))) -> a(a)(a(a)(a(a)(a(a)(x1))))
42.37/11.13	        a(b)(b(b)(b(b)(x1))) -> a(a)(a(a)(a(a)(a(b)(x1))))
42.37/11.13	        b(b)(b(b)(b(f4)(x1))) -> b(a)(a(a)(a(a)(a(f4)(x1))))
42.37/11.13	        b(b)(b(b)(b(a)(x1))) -> b(a)(a(a)(a(a)(a(a)(x1))))
42.37/11.13	        b(b)(b(b)(b(b)(x1))) -> b(a)(a(a)(a(a)(a(b)(x1))))
42.37/11.13	       interpretation:
42.37/11.13	        [b(b)](x0) = x0 + 1,
42.37/11.13	        
42.37/11.13	        [b(f4)](x0) = 0,
42.37/11.13	        
42.37/11.13	        [a(b)](x0) = x0 + 1,
42.37/11.13	        
42.37/11.13	        [f4(a)](x0) = x0,
42.37/11.13	        
42.37/11.13	        [a(a)](x0) = x0,
42.37/11.13	        
42.37/11.13	        [b{#,(f4)}](x0) = x0,
42.37/11.13	        
42.37/11.13	        [a(f4)](x0) = 0,
42.37/11.13	        
42.37/11.13	        [b(a)](x0) = x0 + 1,
42.37/11.13	        
42.37/11.13	        [f4(b)](x0) = x0,
42.37/11.13	        
42.37/11.13	        [a{#,(f4)}](x0) = x0
42.37/11.13	       orientation:
42.37/11.13	        a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) = x1 + 1 >= x1 = b{#,(f4)}(f4(a)(x1))
42.37/11.13	        
42.37/11.13	        a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) = x1 + 2 >= x1 = b{#,(f4)}(f4(b)(x1))
42.37/11.13	        
42.37/11.13	        b{#,(f4)}(f4(a)(a(b)(b(f4)(x1)))) = 1 >= 0 = b{#,(f4)}(f4(b)(b(f4)(x1)))
42.37/11.13	        
42.37/11.13	        b{#,(f4)}(f4(a)(a(b)(b(a)(x1)))) = x1 + 2 >= x1 + 1 = b{#,(f4)}(f4(b)(b(a)(x1)))
42.45/11.18	        
42.45/11.18	        b{#,(f4)}(f4(a)(a(b)(b(b)(x1)))) = x1 + 2 >= x1 + 1 = b{#,(f4)}(f4(b)(b(b)(x1)))
42.45/11.18	        
42.45/11.18	        b{#,(f4)}(f4(a)(a(b)(b(f4)(x1)))) = 1 >= 1 = b{#,(f4)}(f4(b)(b(b)(b(f4)(x1))))
42.45/11.18	        
42.45/11.18	        b{#,(f4)}(f4(a)(a(b)(b(a)(x1)))) = x1 + 2 >= x1 + 2 = b{#,(f4)}(f4(b)(b(b)(b(a)(x1))))
42.45/11.18	        
42.45/11.18	        b{#,(f4)}(f4(a)(a(b)(b(b)(x1)))) = x1 + 2 >= x1 + 2 = b{#,(f4)}(f4(b)(b(b)(b(b)(x1))))
42.45/11.18	        
42.45/11.18	        b{#,(f4)}(f4(b)(b(a)(x1))) = x1 + 1 >= x1 = a{#,(f4)}(f4(a)(x1))
42.45/11.18	        
42.45/11.18	        b{#,(f4)}(f4(b)(b(b)(x1))) = x1 + 1 >= x1 = a{#,(f4)}(f4(b)(x1))
42.45/11.18	        
42.45/11.18	        b{#,(f4)}(f4(b)(b(f4)(x1))) = 0 >= 0 = a{#,(f4)}(f4(a)(a(f4)(x1)))
42.45/11.18	        
42.45/11.18	        b{#,(f4)}(f4(b)(b(a)(x1))) = x1 + 1 >= x1 = a{#,(f4)}(f4(a)(a(a)(x1)))
42.45/11.18	        
42.45/11.18	        b{#,(f4)}(f4(b)(b(b)(x1))) = x1 + 1 >= x1 + 1 = a{#,(f4)}(f4(a)(a(b)(x1)))
42.45/11.18	        
42.45/11.18	        b{#,(f4)}(f4(b)(b(f4)(x1))) = 0 >= 0 = a{#,(f4)}(f4(a)(a(a)(a(f4)(x1))))
42.45/11.18	        
42.45/11.18	        b{#,(f4)}(f4(b)(b(a)(x1))) = x1 + 1 >= x1 = a{#,(f4)}(f4(a)(a(a)(a(a)(x1))))
42.45/11.18	        
42.45/11.18	        b{#,(f4)}(f4(b)(b(b)(x1))) = x1 + 1 >= x1 + 1 = a{#,(f4)}(f4(a)(a(a)(a(b)(x1))))
42.45/11.18	        
42.45/11.18	        f4(a)(a(b)(b(a)(a(f4)(x1)))) = 2 >= 0 = f4(b)(b(f4)(x1))
42.45/11.18	        
42.45/11.18	        f4(a)(a(b)(b(a)(a(a)(x1)))) = x1 + 2 >= x1 + 1 = f4(b)(b(a)(x1))
42.45/11.18	        
42.45/11.18	        f4(a)(a(b)(b(a)(a(b)(x1)))) = x1 + 3 >= x1 + 1 = f4(b)(b(b)(x1))
42.45/11.18	        
42.45/11.18	        a(a)(a(b)(b(a)(a(f4)(x1)))) = 2 >= 1 = a(b)(b(f4)(x1))
42.45/11.18	        
42.45/11.18	        a(a)(a(b)(b(a)(a(a)(x1)))) = x1 + 2 >= x1 + 2 = a(b)(b(a)(x1))
42.45/11.18	        
42.45/11.18	        a(a)(a(b)(b(a)(a(b)(x1)))) = x1 + 3 >= x1 + 2 = a(b)(b(b)(x1))
42.45/11.18	        
42.45/11.18	        b(a)(a(b)(b(a)(a(f4)(x1)))) = 3 >= 1 = b(b)(b(f4)(x1))
42.45/11.18	        
42.45/11.18	        b(a)(a(b)(b(a)(a(a)(x1)))) = x1 + 3 >= x1 + 2 = b(b)(b(a)(x1))
42.45/11.18	        
42.45/11.18	        b(a)(a(b)(b(a)(a(b)(x1)))) = x1 + 4 >= x1 + 2 = b(b)(b(b)(x1))
42.45/11.18	        
42.45/11.18	        b(a)(a(b)(b(f4)(x1))) = 2 >= 2 = b(b)(b(b)(b(f4)(x1)))
42.45/11.18	        
42.45/11.18	        b(a)(a(b)(b(a)(x1))) = x1 + 3 >= x1 + 3 = b(b)(b(b)(b(a)(x1)))
42.45/11.18	        
42.45/11.18	        b(a)(a(b)(b(b)(x1))) = x1 + 3 >= x1 + 3 = b(b)(b(b)(b(b)(x1)))
42.45/11.18	        
42.45/11.18	        f4(b)(b(b)(b(f4)(x1))) = 1 >= 0 = f4(a)(a(a)(a(a)(a(f4)(x1))))
42.45/11.18	        
42.45/11.18	        f4(b)(b(b)(b(a)(x1))) = x1 + 2 >= x1 = f4(a)(a(a)(a(a)(a(a)(x1))))
42.45/11.18	        
42.45/11.18	        f4(b)(b(b)(b(b)(x1))) = x1 + 2 >= x1 + 1 = f4(a)(a(a)(a(a)(a(b)(x1))))
42.45/11.18	        
42.45/11.18	        a(b)(b(b)(b(f4)(x1))) = 2 >= 0 = a(a)(a(a)(a(a)(a(f4)(x1))))
42.45/11.18	        
42.45/11.18	        a(b)(b(b)(b(a)(x1))) = x1 + 3 >= x1 = a(a)(a(a)(a(a)(a(a)(x1))))
42.45/11.18	        
42.45/11.18	        a(b)(b(b)(b(b)(x1))) = x1 + 3 >= x1 + 1 = a(a)(a(a)(a(a)(a(b)(x1))))
42.45/11.18	        
42.45/11.18	        b(b)(b(b)(b(f4)(x1))) = 2 >= 1 = b(a)(a(a)(a(a)(a(f4)(x1))))
42.45/11.18	        
42.45/11.18	        b(b)(b(b)(b(a)(x1))) = x1 + 3 >= x1 + 1 = b(a)(a(a)(a(a)(a(a)(x1))))
42.45/11.18	        
42.45/11.18	        b(b)(b(b)(b(b)(x1))) = x1 + 3 >= x1 + 2 = b(a)(a(a)(a(a)(a(b)(x1))))
42.45/11.18	       problem:
42.45/11.18	        DPs:
42.45/11.18	         b{#,(f4)}(f4(a)(a(b)(b(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(f4)(x1))))
42.45/11.18	         b{#,(f4)}(f4(a)(a(b)(b(a)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(a)(x1))))
42.45/11.18	         b{#,(f4)}(f4(a)(a(b)(b(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(x1))))
42.45/11.18	         b{#,(f4)}(f4(b)(b(f4)(x1))) -> a{#,(f4)}(f4(a)(a(f4)(x1)))
42.45/11.18	         b{#,(f4)}(f4(b)(b(b)(x1))) -> a{#,(f4)}(f4(a)(a(b)(x1)))
42.45/11.18	         b{#,(f4)}(f4(b)(b(f4)(x1))) -> a{#,(f4)}(f4(a)(a(a)(a(f4)(x1))))
42.45/11.18	         b{#,(f4)}(f4(b)(b(b)(x1))) -> a{#,(f4)}(f4(a)(a(a)(a(b)(x1))))
42.45/11.18	        TRS:
42.45/11.18	         f4(a)(a(b)(b(a)(a(f4)(x1)))) -> f4(b)(b(f4)(x1))
42.45/11.18	         f4(a)(a(b)(b(a)(a(a)(x1)))) -> f4(b)(b(a)(x1))
42.45/11.18	         f4(a)(a(b)(b(a)(a(b)(x1)))) -> f4(b)(b(b)(x1))
42.45/11.18	         a(a)(a(b)(b(a)(a(f4)(x1)))) -> a(b)(b(f4)(x1))
42.45/11.18	         a(a)(a(b)(b(a)(a(a)(x1)))) -> a(b)(b(a)(x1))
42.45/11.18	         a(a)(a(b)(b(a)(a(b)(x1)))) -> a(b)(b(b)(x1))
42.45/11.18	         b(a)(a(b)(b(a)(a(f4)(x1)))) -> b(b)(b(f4)(x1))
42.45/11.18	         b(a)(a(b)(b(a)(a(a)(x1)))) -> b(b)(b(a)(x1))
42.45/11.18	         b(a)(a(b)(b(a)(a(b)(x1)))) -> b(b)(b(b)(x1))
42.45/11.18	         b(a)(a(b)(b(f4)(x1))) -> b(b)(b(b)(b(f4)(x1)))
42.45/11.18	         b(a)(a(b)(b(a)(x1))) -> b(b)(b(b)(b(a)(x1)))
42.45/11.18	         b(a)(a(b)(b(b)(x1))) -> b(b)(b(b)(b(b)(x1)))
42.45/11.18	         f4(b)(b(b)(b(f4)(x1))) -> f4(a)(a(a)(a(a)(a(f4)(x1))))
42.45/11.18	         f4(b)(b(b)(b(a)(x1))) -> f4(a)(a(a)(a(a)(a(a)(x1))))
42.45/11.20	         f4(b)(b(b)(b(b)(x1))) -> f4(a)(a(a)(a(a)(a(b)(x1))))
42.45/11.20	         a(b)(b(b)(b(f4)(x1))) -> a(a)(a(a)(a(a)(a(f4)(x1))))
42.45/11.20	         a(b)(b(b)(b(a)(x1))) -> a(a)(a(a)(a(a)(a(a)(x1))))
42.45/11.20	         a(b)(b(b)(b(b)(x1))) -> a(a)(a(a)(a(a)(a(b)(x1))))
42.45/11.20	         b(b)(b(b)(b(f4)(x1))) -> b(a)(a(a)(a(a)(a(f4)(x1))))
42.45/11.20	         b(b)(b(b)(b(a)(x1))) -> b(a)(a(a)(a(a)(a(a)(x1))))
42.45/11.20	         b(b)(b(b)(b(b)(x1))) -> b(a)(a(a)(a(a)(a(b)(x1))))
42.45/11.20	       SCC Processor:
42.45/11.20	        #sccs: 1
42.45/11.20	        #rules: 3
42.45/11.20	        #arcs: 162/49
42.45/11.20	        DPs:
42.45/11.20	         b{#,(f4)}(f4(a)(a(b)(b(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(x1))))
42.45/11.20	         b{#,(f4)}(f4(a)(a(b)(b(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(f4)(x1))))
42.45/11.20	         b{#,(f4)}(f4(a)(a(b)(b(a)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(a)(x1))))
42.45/11.20	        TRS:
42.45/11.20	         f4(a)(a(b)(b(a)(a(f4)(x1)))) -> f4(b)(b(f4)(x1))
42.45/11.20	         f4(a)(a(b)(b(a)(a(a)(x1)))) -> f4(b)(b(a)(x1))
42.45/11.20	         f4(a)(a(b)(b(a)(a(b)(x1)))) -> f4(b)(b(b)(x1))
42.45/11.20	         a(a)(a(b)(b(a)(a(f4)(x1)))) -> a(b)(b(f4)(x1))
42.45/11.20	         a(a)(a(b)(b(a)(a(a)(x1)))) -> a(b)(b(a)(x1))
42.45/11.20	         a(a)(a(b)(b(a)(a(b)(x1)))) -> a(b)(b(b)(x1))
42.45/11.20	         b(a)(a(b)(b(a)(a(f4)(x1)))) -> b(b)(b(f4)(x1))
42.45/11.20	         b(a)(a(b)(b(a)(a(a)(x1)))) -> b(b)(b(a)(x1))
42.45/11.20	         b(a)(a(b)(b(a)(a(b)(x1)))) -> b(b)(b(b)(x1))
42.45/11.20	         b(a)(a(b)(b(f4)(x1))) -> b(b)(b(b)(b(f4)(x1)))
42.45/11.20	         b(a)(a(b)(b(a)(x1))) -> b(b)(b(b)(b(a)(x1)))
42.45/11.20	         b(a)(a(b)(b(b)(x1))) -> b(b)(b(b)(b(b)(x1)))
42.45/11.20	         f4(b)(b(b)(b(f4)(x1))) -> f4(a)(a(a)(a(a)(a(f4)(x1))))
42.45/11.20	         f4(b)(b(b)(b(a)(x1))) -> f4(a)(a(a)(a(a)(a(a)(x1))))
42.45/11.20	         f4(b)(b(b)(b(b)(x1))) -> f4(a)(a(a)(a(a)(a(b)(x1))))
42.45/11.20	         a(b)(b(b)(b(f4)(x1))) -> a(a)(a(a)(a(a)(a(f4)(x1))))
42.45/11.20	         a(b)(b(b)(b(a)(x1))) -> a(a)(a(a)(a(a)(a(a)(x1))))
42.45/11.20	         a(b)(b(b)(b(b)(x1))) -> a(a)(a(a)(a(a)(a(b)(x1))))
42.45/11.20	         b(b)(b(b)(b(f4)(x1))) -> b(a)(a(a)(a(a)(a(f4)(x1))))
42.45/11.20	         b(b)(b(b)(b(a)(x1))) -> b(a)(a(a)(a(a)(a(a)(x1))))
42.45/11.20	         b(b)(b(b)(b(b)(x1))) -> b(a)(a(a)(a(a)(a(b)(x1))))
42.45/11.20	        Polynomial Interpretation Processor:
42.45/11.20	         dimension: 1
42.45/11.20	         usable rules:
42.45/11.20	          f4(a)(a(b)(b(a)(a(f4)(x1)))) -> f4(b)(b(f4)(x1))
42.45/11.20	          f4(a)(a(b)(b(a)(a(a)(x1)))) -> f4(b)(b(a)(x1))
42.45/11.20	          f4(a)(a(b)(b(a)(a(b)(x1)))) -> f4(b)(b(b)(x1))
42.45/11.20	          a(a)(a(b)(b(a)(a(f4)(x1)))) -> a(b)(b(f4)(x1))
42.45/11.20	          a(a)(a(b)(b(a)(a(a)(x1)))) -> a(b)(b(a)(x1))
42.45/11.20	          a(a)(a(b)(b(a)(a(b)(x1)))) -> a(b)(b(b)(x1))
42.45/11.20	          b(a)(a(b)(b(a)(a(f4)(x1)))) -> b(b)(b(f4)(x1))
42.45/11.20	          b(a)(a(b)(b(a)(a(a)(x1)))) -> b(b)(b(a)(x1))
42.45/11.20	          b(a)(a(b)(b(a)(a(b)(x1)))) -> b(b)(b(b)(x1))
42.45/11.20	          b(a)(a(b)(b(f4)(x1))) -> b(b)(b(b)(b(f4)(x1)))
42.45/11.20	          b(a)(a(b)(b(a)(x1))) -> b(b)(b(b)(b(a)(x1)))
42.45/11.20	          b(a)(a(b)(b(b)(x1))) -> b(b)(b(b)(b(b)(x1)))
42.45/11.20	          f4(b)(b(b)(b(f4)(x1))) -> f4(a)(a(a)(a(a)(a(f4)(x1))))
42.45/11.20	          f4(b)(b(b)(b(a)(x1))) -> f4(a)(a(a)(a(a)(a(a)(x1))))
42.45/11.20	          f4(b)(b(b)(b(b)(x1))) -> f4(a)(a(a)(a(a)(a(b)(x1))))
42.45/11.20	          a(b)(b(b)(b(f4)(x1))) -> a(a)(a(a)(a(a)(a(f4)(x1))))
42.45/11.20	          a(b)(b(b)(b(a)(x1))) -> a(a)(a(a)(a(a)(a(a)(x1))))
42.45/11.20	          a(b)(b(b)(b(b)(x1))) -> a(a)(a(a)(a(a)(a(b)(x1))))
42.45/11.20	          b(b)(b(b)(b(f4)(x1))) -> b(a)(a(a)(a(a)(a(f4)(x1))))
42.45/11.20	          b(b)(b(b)(b(a)(x1))) -> b(a)(a(a)(a(a)(a(a)(x1))))
42.45/11.20	          b(b)(b(b)(b(b)(x1))) -> b(a)(a(a)(a(a)(a(b)(x1))))
42.45/11.20	         interpretation:
42.45/11.20	          [b(b)](x0) = x0 + 1,
42.45/11.20	          
42.45/11.20	          [b(f4)](x0) = 0,
42.45/11.20	          
42.45/11.20	          [a(b)](x0) = x0 + 1,
42.45/11.20	          
42.45/11.20	          [f4(a)](x0) = x0 + 1,
42.45/11.20	          
42.45/11.20	          [a(a)](x0) = x0,
42.45/11.20	          
42.45/11.20	          [b{#,(f4)}](x0) = x0,
42.45/11.20	          
42.45/11.20	          [a(f4)](x0) = 0,
42.45/11.20	          
42.45/11.20	          [b(a)](x0) = x0 + 1,
42.45/11.20	          
42.45/11.20	          [f4(b)](x0) = x0
42.45/11.20	         orientation:
42.45/11.20	          b{#,(f4)}(f4(a)(a(b)(b(b)(x1)))) = x1 + 3 >= x1 + 2 = b{#,(f4)}(f4(b)(b(b)(b(b)(x1))))
42.45/11.20	          
42.45/11.20	          b{#,(f4)}(f4(a)(a(b)(b(f4)(x1)))) = 2 >= 1 = b{#,(f4)}(f4(b)(b(b)(b(f4)(x1))))
42.45/11.20	          
42.45/11.20	          b{#,(f4)}(f4(a)(a(b)(b(a)(x1)))) = x1 + 3 >= x1 + 2 = b{#,(f4)}(f4(b)(b(b)(b(a)(x1))))
42.45/11.20	          
42.45/11.20	          f4(a)(a(b)(b(a)(a(f4)(x1)))) = 3 >= 0 = f4(b)(b(f4)(x1))
42.50/11.23	          
42.50/11.23	          f4(a)(a(b)(b(a)(a(a)(x1)))) = x1 + 3 >= x1 + 1 = f4(b)(b(a)(x1))
42.50/11.23	          
42.50/11.23	          f4(a)(a(b)(b(a)(a(b)(x1)))) = x1 + 4 >= x1 + 1 = f4(b)(b(b)(x1))
42.50/11.23	          
42.50/11.23	          a(a)(a(b)(b(a)(a(f4)(x1)))) = 2 >= 1 = a(b)(b(f4)(x1))
42.50/11.23	          
42.50/11.23	          a(a)(a(b)(b(a)(a(a)(x1)))) = x1 + 2 >= x1 + 2 = a(b)(b(a)(x1))
42.50/11.23	          
42.50/11.23	          a(a)(a(b)(b(a)(a(b)(x1)))) = x1 + 3 >= x1 + 2 = a(b)(b(b)(x1))
42.50/11.23	          
42.50/11.23	          b(a)(a(b)(b(a)(a(f4)(x1)))) = 3 >= 1 = b(b)(b(f4)(x1))
42.50/11.23	          
42.50/11.23	          b(a)(a(b)(b(a)(a(a)(x1)))) = x1 + 3 >= x1 + 2 = b(b)(b(a)(x1))
42.50/11.23	          
42.50/11.23	          b(a)(a(b)(b(a)(a(b)(x1)))) = x1 + 4 >= x1 + 2 = b(b)(b(b)(x1))
42.50/11.23	          
42.50/11.23	          b(a)(a(b)(b(f4)(x1))) = 2 >= 2 = b(b)(b(b)(b(f4)(x1)))
42.50/11.23	          
42.50/11.23	          b(a)(a(b)(b(a)(x1))) = x1 + 3 >= x1 + 3 = b(b)(b(b)(b(a)(x1)))
42.50/11.23	          
42.50/11.23	          b(a)(a(b)(b(b)(x1))) = x1 + 3 >= x1 + 3 = b(b)(b(b)(b(b)(x1)))
42.50/11.23	          
42.50/11.23	          f4(b)(b(b)(b(f4)(x1))) = 1 >= 1 = f4(a)(a(a)(a(a)(a(f4)(x1))))
42.50/11.23	          
42.50/11.23	          f4(b)(b(b)(b(a)(x1))) = x1 + 2 >= x1 + 1 = f4(a)(a(a)(a(a)(a(a)(x1))))
42.50/11.23	          
42.50/11.23	          f4(b)(b(b)(b(b)(x1))) = x1 + 2 >= x1 + 2 = f4(a)(a(a)(a(a)(a(b)(x1))))
42.50/11.23	          
42.50/11.23	          a(b)(b(b)(b(f4)(x1))) = 2 >= 0 = a(a)(a(a)(a(a)(a(f4)(x1))))
42.50/11.23	          
42.50/11.23	          a(b)(b(b)(b(a)(x1))) = x1 + 3 >= x1 = a(a)(a(a)(a(a)(a(a)(x1))))
42.50/11.23	          
42.50/11.23	          a(b)(b(b)(b(b)(x1))) = x1 + 3 >= x1 + 1 = a(a)(a(a)(a(a)(a(b)(x1))))
42.50/11.23	          
42.50/11.23	          b(b)(b(b)(b(f4)(x1))) = 2 >= 1 = b(a)(a(a)(a(a)(a(f4)(x1))))
42.50/11.23	          
42.50/11.23	          b(b)(b(b)(b(a)(x1))) = x1 + 3 >= x1 + 1 = b(a)(a(a)(a(a)(a(a)(x1))))
42.50/11.23	          
42.50/11.23	          b(b)(b(b)(b(b)(x1))) = x1 + 3 >= x1 + 2 = b(a)(a(a)(a(a)(a(b)(x1))))
42.50/11.23	         problem:
42.50/11.23	          DPs:
42.50/11.23	           
42.50/11.23	          TRS:
42.50/11.23	           f4(a)(a(b)(b(a)(a(f4)(x1)))) -> f4(b)(b(f4)(x1))
42.50/11.23	           f4(a)(a(b)(b(a)(a(a)(x1)))) -> f4(b)(b(a)(x1))
42.50/11.23	           f4(a)(a(b)(b(a)(a(b)(x1)))) -> f4(b)(b(b)(x1))
42.50/11.23	           a(a)(a(b)(b(a)(a(f4)(x1)))) -> a(b)(b(f4)(x1))
42.50/11.23	           a(a)(a(b)(b(a)(a(a)(x1)))) -> a(b)(b(a)(x1))
42.50/11.23	           a(a)(a(b)(b(a)(a(b)(x1)))) -> a(b)(b(b)(x1))
42.50/11.23	           b(a)(a(b)(b(a)(a(f4)(x1)))) -> b(b)(b(f4)(x1))
42.50/11.23	           b(a)(a(b)(b(a)(a(a)(x1)))) -> b(b)(b(a)(x1))
42.50/11.23	           b(a)(a(b)(b(a)(a(b)(x1)))) -> b(b)(b(b)(x1))
42.50/11.23	           b(a)(a(b)(b(f4)(x1))) -> b(b)(b(b)(b(f4)(x1)))
42.50/11.23	           b(a)(a(b)(b(a)(x1))) -> b(b)(b(b)(b(a)(x1)))
42.50/11.23	           b(a)(a(b)(b(b)(x1))) -> b(b)(b(b)(b(b)(x1)))
42.50/11.23	           f4(b)(b(b)(b(f4)(x1))) -> f4(a)(a(a)(a(a)(a(f4)(x1))))
42.50/11.23	           f4(b)(b(b)(b(a)(x1))) -> f4(a)(a(a)(a(a)(a(a)(x1))))
42.50/11.23	           f4(b)(b(b)(b(b)(x1))) -> f4(a)(a(a)(a(a)(a(b)(x1))))
42.50/11.23	           a(b)(b(b)(b(f4)(x1))) -> a(a)(a(a)(a(a)(a(f4)(x1))))
42.50/11.23	           a(b)(b(b)(b(a)(x1))) -> a(a)(a(a)(a(a)(a(a)(x1))))
42.50/11.23	           a(b)(b(b)(b(b)(x1))) -> a(a)(a(a)(a(a)(a(b)(x1))))
42.50/11.23	           b(b)(b(b)(b(f4)(x1))) -> b(a)(a(a)(a(a)(a(f4)(x1))))
42.50/11.23	           b(b)(b(b)(b(a)(x1))) -> b(a)(a(a)(a(a)(a(a)(x1))))
42.50/11.23	           b(b)(b(b)(b(b)(x1))) -> b(a)(a(a)(a(a)(a(b)(x1))))
42.50/11.23	         Qed
42.50/11.24	EOF