42.55/11.09	YES
42.55/11.10	
42.55/11.10	Problem:
42.55/11.10	 b(b(b(x1))) -> a(b(x1))
42.55/11.10	 a(a(x1)) -> a(b(a(x1)))
42.55/11.10	 a(a(a(x1))) -> a(b(b(x1)))
42.55/11.10	
42.55/11.10	Proof:
42.55/11.10	 DP Processor:
42.55/11.10	  DPs:
42.55/11.10	   b#(b(b(x1))) -> a#(b(x1))
42.55/11.10	   a#(a(x1)) -> b#(a(x1))
42.55/11.10	   a#(a(x1)) -> a#(b(a(x1)))
42.55/11.10	   a#(a(a(x1))) -> b#(x1)
42.55/11.10	   a#(a(a(x1))) -> b#(b(x1))
42.55/11.10	   a#(a(a(x1))) -> a#(b(b(x1)))
42.55/11.10	  TRS:
42.55/11.10	   b(b(b(x1))) -> a(b(x1))
42.55/11.10	   a(a(x1)) -> a(b(a(x1)))
42.55/11.10	   a(a(a(x1))) -> a(b(b(x1)))
42.55/11.10	  TDG Processor:
42.55/11.10	   DPs:
42.55/11.10	    b#(b(b(x1))) -> a#(b(x1))
42.55/11.10	    a#(a(x1)) -> b#(a(x1))
42.55/11.10	    a#(a(x1)) -> a#(b(a(x1)))
42.55/11.10	    a#(a(a(x1))) -> b#(x1)
42.55/11.10	    a#(a(a(x1))) -> b#(b(x1))
42.55/11.10	    a#(a(a(x1))) -> a#(b(b(x1)))
42.55/11.10	   TRS:
42.55/11.10	    b(b(b(x1))) -> a(b(x1))
42.55/11.10	    a(a(x1)) -> a(b(a(x1)))
42.55/11.10	    a(a(a(x1))) -> a(b(b(x1)))
42.55/11.10	   graph:
42.55/11.10	    a#(a(a(x1))) -> a#(b(b(x1))) -> a#(a(a(x1))) -> a#(b(b(x1)))
42.55/11.10	    a#(a(a(x1))) -> a#(b(b(x1))) -> a#(a(a(x1))) -> b#(b(x1))
42.55/11.10	    a#(a(a(x1))) -> a#(b(b(x1))) -> a#(a(a(x1))) -> b#(x1)
42.55/11.10	    a#(a(a(x1))) -> a#(b(b(x1))) -> a#(a(x1)) -> a#(b(a(x1)))
42.55/11.10	    a#(a(a(x1))) -> a#(b(b(x1))) -> a#(a(x1)) -> b#(a(x1))
42.55/11.10	    a#(a(a(x1))) -> b#(b(x1)) -> b#(b(b(x1))) -> a#(b(x1))
42.55/11.10	    a#(a(a(x1))) -> b#(x1) -> b#(b(b(x1))) -> a#(b(x1))
42.55/11.10	    a#(a(x1)) -> a#(b(a(x1))) -> a#(a(a(x1))) -> a#(b(b(x1)))
42.55/11.10	    a#(a(x1)) -> a#(b(a(x1))) -> a#(a(a(x1))) -> b#(b(x1))
42.55/11.10	    a#(a(x1)) -> a#(b(a(x1))) -> a#(a(a(x1))) -> b#(x1)
42.55/11.10	    a#(a(x1)) -> a#(b(a(x1))) -> a#(a(x1)) -> a#(b(a(x1)))
42.55/11.10	    a#(a(x1)) -> a#(b(a(x1))) -> a#(a(x1)) -> b#(a(x1))
42.55/11.10	    a#(a(x1)) -> b#(a(x1)) -> b#(b(b(x1))) -> a#(b(x1))
42.55/11.10	    b#(b(b(x1))) -> a#(b(x1)) -> a#(a(a(x1))) -> a#(b(b(x1)))
42.55/11.10	    b#(b(b(x1))) -> a#(b(x1)) -> a#(a(a(x1))) -> b#(b(x1))
42.55/11.10	    b#(b(b(x1))) -> a#(b(x1)) -> a#(a(a(x1))) -> b#(x1)
42.55/11.10	    b#(b(b(x1))) -> a#(b(x1)) -> a#(a(x1)) -> a#(b(a(x1)))
42.55/11.10	    b#(b(b(x1))) -> a#(b(x1)) -> a#(a(x1)) -> b#(a(x1))
42.55/11.10	   Root-Labeling Processor:
42.55/11.10	    DPs:
42.55/11.10	     b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) -> a{#,(f4)}(f4(b)(b(f4)(x1)))
42.55/11.10	     b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(x1)))
42.55/11.10	     b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) -> a{#,(f4)}(f4(b)(b(a)(x1)))
42.55/11.10	     a{#,(f4)}(f4(a)(a(f4)(x1))) -> b{#,(f4)}(f4(a)(a(f4)(x1)))
42.55/11.10	     a{#,(f4)}(f4(a)(a(b)(x1))) -> b{#,(f4)}(f4(a)(a(b)(x1)))
42.55/11.10	     a{#,(f4)}(f4(a)(a(a)(x1))) -> b{#,(f4)}(f4(a)(a(a)(x1)))
42.55/11.10	     a{#,(f4)}(f4(a)(a(f4)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(f4)(x1))))
42.55/11.10	     a{#,(f4)}(f4(a)(a(b)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(b)(x1))))
42.55/11.10	     a{#,(f4)}(f4(a)(a(a)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(a)(x1))))
42.55/11.10	     a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(f4)(x1))
42.55/11.10	     a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(x1))
42.55/11.10	     a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> b{#,(f4)}(f4(a)(x1))
42.55/11.10	     a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(f4)(x1)))
42.55/11.10	     a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(x1)))
42.55/11.10	     a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> b{#,(f4)}(f4(b)(b(a)(x1)))
42.55/11.10	     a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(f4)(x1))))
42.55/11.10	     a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(b)(x1))))
42.55/11.10	     a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(a)(x1))))
42.55/11.10	    TRS:
42.55/11.10	     f4(b)(b(b)(b(b)(b(f4)(x1)))) -> f4(a)(a(b)(b(f4)(x1)))
42.55/11.10	     f4(b)(b(b)(b(b)(b(b)(x1)))) -> f4(a)(a(b)(b(b)(x1)))
42.55/11.10	     f4(b)(b(b)(b(b)(b(a)(x1)))) -> f4(a)(a(b)(b(a)(x1)))
42.55/11.10	     b(b)(b(b)(b(b)(b(f4)(x1)))) -> b(a)(a(b)(b(f4)(x1)))
42.55/11.10	     b(b)(b(b)(b(b)(b(b)(x1)))) -> b(a)(a(b)(b(b)(x1)))
42.55/11.10	     b(b)(b(b)(b(b)(b(a)(x1)))) -> b(a)(a(b)(b(a)(x1)))
42.55/11.10	     a(b)(b(b)(b(b)(b(f4)(x1)))) -> a(a)(a(b)(b(f4)(x1)))
42.55/11.10	     a(b)(b(b)(b(b)(b(b)(x1)))) -> a(a)(a(b)(b(b)(x1)))
42.55/11.10	     a(b)(b(b)(b(b)(b(a)(x1)))) -> a(a)(a(b)(b(a)(x1)))
42.55/11.10	     a(a)(a(f4)(x1)) -> a(b)(b(a)(a(f4)(x1)))
42.55/11.10	     a(a)(a(b)(x1)) -> a(b)(b(a)(a(b)(x1)))
42.55/11.10	     a(a)(a(a)(x1)) -> a(b)(b(a)(a(a)(x1)))
42.55/11.10	     a(a)(a(a)(a(f4)(x1))) -> a(b)(b(b)(b(f4)(x1)))
42.55/11.10	     a(a)(a(a)(a(b)(x1))) -> a(b)(b(b)(b(b)(x1)))
42.55/11.10	     a(a)(a(a)(a(a)(x1))) -> a(b)(b(b)(b(a)(x1)))
42.55/11.10	    TDG Processor:
42.55/11.10	     DPs:
42.55/11.10	      b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) -> a{#,(f4)}(f4(b)(b(f4)(x1)))
42.55/11.10	      b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(x1)))
42.55/11.10	      b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) -> a{#,(f4)}(f4(b)(b(a)(x1)))
42.55/11.10	      a{#,(f4)}(f4(a)(a(f4)(x1))) -> b{#,(f4)}(f4(a)(a(f4)(x1)))
42.55/11.11	      a{#,(f4)}(f4(a)(a(b)(x1))) -> b{#,(f4)}(f4(a)(a(b)(x1)))
42.55/11.11	      a{#,(f4)}(f4(a)(a(a)(x1))) -> b{#,(f4)}(f4(a)(a(a)(x1)))
42.55/11.11	      a{#,(f4)}(f4(a)(a(f4)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(f4)(x1))))
42.55/11.11	      a{#,(f4)}(f4(a)(a(b)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(b)(x1))))
42.55/11.11	      a{#,(f4)}(f4(a)(a(a)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(a)(x1))))
42.55/11.11	      a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(f4)(x1))
42.55/11.11	      a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(x1))
42.55/11.11	      a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> b{#,(f4)}(f4(a)(x1))
42.55/11.11	      a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(f4)(x1)))
42.55/11.11	      a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(x1)))
42.55/11.11	      a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> b{#,(f4)}(f4(b)(b(a)(x1)))
42.55/11.11	      a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(f4)(x1))))
42.55/11.11	      a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(b)(x1))))
42.55/11.11	      a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(a)(x1))))
42.55/11.11	     TRS:
42.55/11.11	      f4(b)(b(b)(b(b)(b(f4)(x1)))) -> f4(a)(a(b)(b(f4)(x1)))
42.55/11.11	      f4(b)(b(b)(b(b)(b(b)(x1)))) -> f4(a)(a(b)(b(b)(x1)))
42.55/11.11	      f4(b)(b(b)(b(b)(b(a)(x1)))) -> f4(a)(a(b)(b(a)(x1)))
42.55/11.11	      b(b)(b(b)(b(b)(b(f4)(x1)))) -> b(a)(a(b)(b(f4)(x1)))
42.55/11.11	      b(b)(b(b)(b(b)(b(b)(x1)))) -> b(a)(a(b)(b(b)(x1)))
42.55/11.11	      b(b)(b(b)(b(b)(b(a)(x1)))) -> b(a)(a(b)(b(a)(x1)))
42.55/11.11	      a(b)(b(b)(b(b)(b(f4)(x1)))) -> a(a)(a(b)(b(f4)(x1)))
42.55/11.11	      a(b)(b(b)(b(b)(b(b)(x1)))) -> a(a)(a(b)(b(b)(x1)))
42.55/11.11	      a(b)(b(b)(b(b)(b(a)(x1)))) -> a(a)(a(b)(b(a)(x1)))
42.55/11.11	      a(a)(a(f4)(x1)) -> a(b)(b(a)(a(f4)(x1)))
42.55/11.11	      a(a)(a(b)(x1)) -> a(b)(b(a)(a(b)(x1)))
42.55/11.11	      a(a)(a(a)(x1)) -> a(b)(b(a)(a(a)(x1)))
42.55/11.11	      a(a)(a(a)(a(f4)(x1))) -> a(b)(b(b)(b(f4)(x1)))
42.55/11.11	      a(a)(a(a)(a(b)(x1))) -> a(b)(b(b)(b(b)(x1)))
42.55/11.11	      a(a)(a(a)(a(a)(x1))) -> a(b)(b(b)(b(a)(x1)))
42.55/11.11	     graph:
42.55/11.11	      a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) ->
42.55/11.11	      a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(a)(x1))))
42.55/11.11	      a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) ->
42.55/11.11	      a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(b)(x1))))
42.55/11.11	      a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) ->
42.55/11.11	      a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(f4)(x1))))
42.55/11.11	      a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) ->
42.55/11.11	      a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> b{#,(f4)}(f4(b)(b(a)(x1)))
42.55/11.11	      a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) ->
42.55/11.11	      a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(x1)))
42.55/11.11	      a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) ->
42.55/11.11	      a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(f4)(x1)))
42.55/11.11	      a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) ->
42.55/11.11	      a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> b{#,(f4)}(f4(a)(x1))
42.55/11.11	      a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) ->
42.55/11.11	      a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(x1))
42.55/11.11	      a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) ->
42.55/11.11	      a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(f4)(x1))
42.55/11.11	      a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) ->
42.55/11.11	      a{#,(f4)}(f4(a)(a(a)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(a)(x1))))
42.55/11.11	      a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) ->
42.55/11.11	      a{#,(f4)}(f4(a)(a(b)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(b)(x1))))
42.55/11.11	      a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) ->
42.55/11.11	      a{#,(f4)}(f4(a)(a(f4)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(f4)(x1))))
42.55/11.11	      a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) ->
42.55/11.11	      a{#,(f4)}(f4(a)(a(a)(x1))) -> b{#,(f4)}(f4(a)(a(a)(x1)))
42.55/11.11	      a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) ->
42.55/11.11	      a{#,(f4)}(f4(a)(a(b)(x1))) -> b{#,(f4)}(f4(a)(a(b)(x1)))
42.55/11.11	      a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) ->
42.55/11.11	      a{#,(f4)}(f4(a)(a(f4)(x1))) -> b{#,(f4)}(f4(a)(a(f4)(x1)))
42.55/11.11	      a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> b{#,(f4)}(f4(a)(x1)) ->
42.55/11.11	      b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) -> a{#,(f4)}(f4(b)(b(a)(x1)))
42.55/11.12	      a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> b{#,(f4)}(f4(a)(x1)) ->
42.55/11.12	      b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(x1)))
42.55/11.12	      a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> b{#,(f4)}(f4(a)(x1)) ->
42.55/11.12	      b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) -> a{#,(f4)}(f4(b)(b(f4)(x1)))
42.55/11.12	      a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> b{#,(f4)}(f4(b)(b(a)(x1))) ->
42.55/11.12	      b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) -> a{#,(f4)}(f4(b)(b(a)(x1)))
42.55/11.12	      a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> b{#,(f4)}(f4(b)(b(a)(x1))) ->
42.55/11.12	      b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(x1)))
42.55/11.12	      a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> b{#,(f4)}(f4(b)(b(a)(x1))) ->
42.55/11.12	      b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) -> a{#,(f4)}(f4(b)(b(f4)(x1)))
42.55/11.12	      a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) ->
42.55/11.12	      a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(a)(x1))))
42.55/11.12	      a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) ->
42.55/11.12	      a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(b)(x1))))
42.55/11.12	      a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) ->
42.55/11.12	      a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(f4)(x1))))
42.55/11.12	      a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) ->
42.55/11.12	      a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> b{#,(f4)}(f4(b)(b(a)(x1)))
42.55/11.12	      a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) ->
42.55/11.12	      a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(x1)))
42.55/11.12	      a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) ->
42.55/11.12	      a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(f4)(x1)))
42.55/11.12	      a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) ->
42.55/11.12	      a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> b{#,(f4)}(f4(a)(x1))
42.55/11.12	      a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) ->
42.55/11.12	      a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(x1))
42.55/11.12	      a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) ->
42.55/11.12	      a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(f4)(x1))
42.55/11.12	      a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) ->
42.55/11.12	      a{#,(f4)}(f4(a)(a(a)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(a)(x1))))
42.55/11.12	      a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) ->
42.55/11.12	      a{#,(f4)}(f4(a)(a(b)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(b)(x1))))
42.55/11.12	      a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) ->
42.55/11.12	      a{#,(f4)}(f4(a)(a(f4)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(f4)(x1))))
42.55/11.12	      a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) ->
42.55/11.12	      a{#,(f4)}(f4(a)(a(a)(x1))) -> b{#,(f4)}(f4(a)(a(a)(x1)))
42.55/11.12	      a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) ->
42.55/11.12	      a{#,(f4)}(f4(a)(a(b)(x1))) -> b{#,(f4)}(f4(a)(a(b)(x1)))
42.55/11.12	      a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) ->
42.55/11.12	      a{#,(f4)}(f4(a)(a(f4)(x1))) -> b{#,(f4)}(f4(a)(a(f4)(x1)))
42.55/11.12	      a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(x1))) ->
42.55/11.12	      b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) -> a{#,(f4)}(f4(b)(b(a)(x1)))
42.55/11.12	      a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(x1))) ->
42.55/11.12	      b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(x1)))
42.55/11.12	      a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(x1))) ->
42.55/11.12	      b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) -> a{#,(f4)}(f4(b)(b(f4)(x1)))
42.55/11.12	      a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(x1)) ->
42.55/11.12	      b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) -> a{#,(f4)}(f4(b)(b(a)(x1)))
42.55/11.12	      a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(x1)) ->
42.55/11.12	      b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(x1)))
42.55/11.12	      a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(x1)) ->
42.55/11.12	      b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) -> a{#,(f4)}(f4(b)(b(f4)(x1)))
42.55/11.12	      a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) ->
42.55/11.12	      a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(a)(x1))))
42.55/11.12	      a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) ->
42.55/11.12	      a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(b)(x1))))
42.55/11.12	      a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) ->
42.55/11.13	      a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(f4)(x1))))
42.55/11.13	      a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) ->
42.55/11.13	      a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> b{#,(f4)}(f4(b)(b(a)(x1)))
42.55/11.13	      a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) ->
42.55/11.13	      a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(x1)))
42.55/11.13	      a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) ->
42.55/11.13	      a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(f4)(x1)))
42.55/11.13	      a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) ->
42.55/11.13	      a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> b{#,(f4)}(f4(a)(x1))
42.55/11.13	      a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) ->
42.55/11.13	      a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(x1))
42.55/11.13	      a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) ->
42.55/11.13	      a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(f4)(x1))
42.55/11.13	      a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) ->
42.55/11.13	      a{#,(f4)}(f4(a)(a(a)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(a)(x1))))
42.55/11.13	      a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) ->
42.55/11.13	      a{#,(f4)}(f4(a)(a(b)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(b)(x1))))
42.55/11.13	      a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) ->
42.55/11.13	      a{#,(f4)}(f4(a)(a(f4)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(f4)(x1))))
42.55/11.13	      a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) ->
42.55/11.13	      a{#,(f4)}(f4(a)(a(a)(x1))) -> b{#,(f4)}(f4(a)(a(a)(x1)))
42.55/11.13	      a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) ->
42.55/11.13	      a{#,(f4)}(f4(a)(a(b)(x1))) -> b{#,(f4)}(f4(a)(a(b)(x1)))
42.55/11.13	      a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) ->
42.55/11.13	      a{#,(f4)}(f4(a)(a(f4)(x1))) -> b{#,(f4)}(f4(a)(a(f4)(x1)))
42.55/11.13	      a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(f4)(x1)) ->
42.55/11.13	      b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) -> a{#,(f4)}(f4(b)(b(a)(x1)))
42.55/11.13	      a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(f4)(x1)) ->
42.55/11.13	      b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(x1)))
42.55/11.13	      a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(f4)(x1)) ->
42.55/11.13	      b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) -> a{#,(f4)}(f4(b)(b(f4)(x1)))
42.55/11.13	      a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(f4)(x1))) ->
42.55/11.13	      b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) -> a{#,(f4)}(f4(b)(b(a)(x1)))
42.55/11.13	      a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(f4)(x1))) ->
42.55/11.13	      b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(x1)))
42.55/11.13	      a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(f4)(x1))) ->
42.55/11.13	      b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) -> a{#,(f4)}(f4(b)(b(f4)(x1)))
42.55/11.13	      a{#,(f4)}(f4(a)(a(a)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) ->
42.55/11.13	      a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(a)(x1))))
42.55/11.13	      a{#,(f4)}(f4(a)(a(a)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) ->
42.55/11.13	      a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(b)(x1))))
42.55/11.13	      a{#,(f4)}(f4(a)(a(a)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) ->
42.55/11.13	      a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(f4)(x1))))
42.55/11.13	      a{#,(f4)}(f4(a)(a(a)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) ->
42.55/11.13	      a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> b{#,(f4)}(f4(b)(b(a)(x1)))
42.55/11.13	      a{#,(f4)}(f4(a)(a(a)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) ->
42.55/11.13	      a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(x1)))
42.55/11.13	      a{#,(f4)}(f4(a)(a(a)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) ->
42.55/11.13	      a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(f4)(x1)))
42.55/11.13	      a{#,(f4)}(f4(a)(a(a)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) ->
42.55/11.13	      a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> b{#,(f4)}(f4(a)(x1))
42.55/11.13	      a{#,(f4)}(f4(a)(a(a)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) ->
42.55/11.13	      a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(x1))
42.55/11.13	      a{#,(f4)}(f4(a)(a(a)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) ->
42.55/11.13	      a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(f4)(x1))
42.55/11.13	      a{#,(f4)}(f4(a)(a(a)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) ->
42.55/11.14	      a{#,(f4)}(f4(a)(a(a)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(a)(x1))))
42.55/11.14	      a{#,(f4)}(f4(a)(a(a)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) ->
42.55/11.14	      a{#,(f4)}(f4(a)(a(b)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(b)(x1))))
42.55/11.14	      a{#,(f4)}(f4(a)(a(a)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) ->
42.55/11.14	      a{#,(f4)}(f4(a)(a(f4)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(f4)(x1))))
42.55/11.14	      a{#,(f4)}(f4(a)(a(a)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) ->
42.55/11.14	      a{#,(f4)}(f4(a)(a(a)(x1))) -> b{#,(f4)}(f4(a)(a(a)(x1)))
42.55/11.14	      a{#,(f4)}(f4(a)(a(a)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) ->
42.55/11.14	      a{#,(f4)}(f4(a)(a(b)(x1))) -> b{#,(f4)}(f4(a)(a(b)(x1)))
42.55/11.14	      a{#,(f4)}(f4(a)(a(a)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) ->
42.55/11.14	      a{#,(f4)}(f4(a)(a(f4)(x1))) -> b{#,(f4)}(f4(a)(a(f4)(x1)))
42.55/11.14	      a{#,(f4)}(f4(a)(a(a)(x1))) -> b{#,(f4)}(f4(a)(a(a)(x1))) ->
42.55/11.14	      b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) -> a{#,(f4)}(f4(b)(b(a)(x1)))
42.55/11.14	      a{#,(f4)}(f4(a)(a(a)(x1))) -> b{#,(f4)}(f4(a)(a(a)(x1))) ->
42.55/11.14	      b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(x1)))
42.55/11.14	      a{#,(f4)}(f4(a)(a(a)(x1))) -> b{#,(f4)}(f4(a)(a(a)(x1))) ->
42.55/11.14	      b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) -> a{#,(f4)}(f4(b)(b(f4)(x1)))
42.55/11.14	      a{#,(f4)}(f4(a)(a(b)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) ->
42.55/11.14	      a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(a)(x1))))
42.55/11.14	      a{#,(f4)}(f4(a)(a(b)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) ->
42.55/11.14	      a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(b)(x1))))
42.55/11.14	      a{#,(f4)}(f4(a)(a(b)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) ->
42.55/11.14	      a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(f4)(x1))))
42.55/11.14	      a{#,(f4)}(f4(a)(a(b)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) ->
42.55/11.14	      a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> b{#,(f4)}(f4(b)(b(a)(x1)))
42.55/11.14	      a{#,(f4)}(f4(a)(a(b)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) ->
42.55/11.14	      a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(x1)))
42.55/11.14	      a{#,(f4)}(f4(a)(a(b)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) ->
42.55/11.14	      a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(f4)(x1)))
42.55/11.14	      a{#,(f4)}(f4(a)(a(b)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) ->
42.55/11.14	      a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> b{#,(f4)}(f4(a)(x1))
42.55/11.14	      a{#,(f4)}(f4(a)(a(b)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) ->
42.55/11.14	      a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(x1))
42.55/11.14	      a{#,(f4)}(f4(a)(a(b)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) ->
42.55/11.14	      a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(f4)(x1))
42.55/11.14	      a{#,(f4)}(f4(a)(a(b)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) ->
42.55/11.14	      a{#,(f4)}(f4(a)(a(a)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(a)(x1))))
42.55/11.14	      a{#,(f4)}(f4(a)(a(b)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) ->
42.55/11.14	      a{#,(f4)}(f4(a)(a(b)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(b)(x1))))
42.55/11.14	      a{#,(f4)}(f4(a)(a(b)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) ->
42.55/11.14	      a{#,(f4)}(f4(a)(a(f4)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(f4)(x1))))
42.55/11.14	      a{#,(f4)}(f4(a)(a(b)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) ->
42.55/11.14	      a{#,(f4)}(f4(a)(a(a)(x1))) -> b{#,(f4)}(f4(a)(a(a)(x1)))
42.55/11.14	      a{#,(f4)}(f4(a)(a(b)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) ->
42.55/11.14	      a{#,(f4)}(f4(a)(a(b)(x1))) -> b{#,(f4)}(f4(a)(a(b)(x1)))
42.55/11.14	      a{#,(f4)}(f4(a)(a(b)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) ->
42.55/11.14	      a{#,(f4)}(f4(a)(a(f4)(x1))) -> b{#,(f4)}(f4(a)(a(f4)(x1)))
42.55/11.14	      a{#,(f4)}(f4(a)(a(b)(x1))) -> b{#,(f4)}(f4(a)(a(b)(x1))) ->
42.55/11.14	      b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) -> a{#,(f4)}(f4(b)(b(a)(x1)))
42.55/11.14	      a{#,(f4)}(f4(a)(a(b)(x1))) -> b{#,(f4)}(f4(a)(a(b)(x1))) ->
42.55/11.14	      b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(x1)))
42.55/11.14	      a{#,(f4)}(f4(a)(a(b)(x1))) -> b{#,(f4)}(f4(a)(a(b)(x1))) ->
42.55/11.14	      b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) -> a{#,(f4)}(f4(b)(b(f4)(x1)))
42.55/11.14	      a{#,(f4)}(f4(a)(a(f4)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(f4)(x1)))) ->
42.55/11.14	      a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(a)(x1))))
42.55/11.14	      a{#,(f4)}(f4(a)(a(f4)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(f4)(x1)))) ->
42.55/11.14	      a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(b)(x1))))
42.55/11.14	      a{#,(f4)}(f4(a)(a(f4)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(f4)(x1)))) ->
42.55/11.14	      a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(f4)(x1))))
42.63/11.15	      a{#,(f4)}(f4(a)(a(f4)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(f4)(x1)))) ->
42.63/11.15	      a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> b{#,(f4)}(f4(b)(b(a)(x1)))
42.63/11.15	      a{#,(f4)}(f4(a)(a(f4)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(f4)(x1)))) ->
42.63/11.15	      a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(x1)))
42.63/11.15	      a{#,(f4)}(f4(a)(a(f4)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(f4)(x1)))) ->
42.63/11.15	      a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(f4)(x1)))
42.63/11.15	      a{#,(f4)}(f4(a)(a(f4)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(f4)(x1)))) ->
42.63/11.15	      a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> b{#,(f4)}(f4(a)(x1))
42.63/11.15	      a{#,(f4)}(f4(a)(a(f4)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(f4)(x1)))) ->
42.63/11.15	      a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(x1))
42.63/11.15	      a{#,(f4)}(f4(a)(a(f4)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(f4)(x1)))) ->
42.63/11.15	      a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(f4)(x1))
42.63/11.15	      a{#,(f4)}(f4(a)(a(f4)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(f4)(x1)))) ->
42.63/11.15	      a{#,(f4)}(f4(a)(a(a)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(a)(x1))))
42.63/11.15	      a{#,(f4)}(f4(a)(a(f4)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(f4)(x1)))) ->
42.63/11.15	      a{#,(f4)}(f4(a)(a(b)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(b)(x1))))
42.63/11.15	      a{#,(f4)}(f4(a)(a(f4)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(f4)(x1)))) ->
42.63/11.15	      a{#,(f4)}(f4(a)(a(f4)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(f4)(x1))))
42.63/11.15	      a{#,(f4)}(f4(a)(a(f4)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(f4)(x1)))) ->
42.63/11.15	      a{#,(f4)}(f4(a)(a(a)(x1))) -> b{#,(f4)}(f4(a)(a(a)(x1)))
42.63/11.15	      a{#,(f4)}(f4(a)(a(f4)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(f4)(x1)))) ->
42.63/11.15	      a{#,(f4)}(f4(a)(a(b)(x1))) -> b{#,(f4)}(f4(a)(a(b)(x1)))
42.63/11.15	      a{#,(f4)}(f4(a)(a(f4)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(f4)(x1)))) ->
42.63/11.15	      a{#,(f4)}(f4(a)(a(f4)(x1))) -> b{#,(f4)}(f4(a)(a(f4)(x1)))
42.63/11.15	      a{#,(f4)}(f4(a)(a(f4)(x1))) -> b{#,(f4)}(f4(a)(a(f4)(x1))) ->
42.63/11.15	      b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) -> a{#,(f4)}(f4(b)(b(a)(x1)))
42.63/11.15	      a{#,(f4)}(f4(a)(a(f4)(x1))) -> b{#,(f4)}(f4(a)(a(f4)(x1))) ->
42.63/11.15	      b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(x1)))
42.63/11.15	      a{#,(f4)}(f4(a)(a(f4)(x1))) -> b{#,(f4)}(f4(a)(a(f4)(x1))) ->
42.63/11.15	      b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) -> a{#,(f4)}(f4(b)(b(f4)(x1)))
42.63/11.15	      b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) -> a{#,(f4)}(f4(b)(b(a)(x1))) ->
42.63/11.15	      a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(a)(x1))))
42.63/11.15	      b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) -> a{#,(f4)}(f4(b)(b(a)(x1))) ->
42.63/11.15	      a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(b)(x1))))
42.63/11.15	      b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) -> a{#,(f4)}(f4(b)(b(a)(x1))) ->
42.63/11.15	      a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(f4)(x1))))
42.63/11.15	      b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) -> a{#,(f4)}(f4(b)(b(a)(x1))) ->
42.63/11.15	      a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> b{#,(f4)}(f4(b)(b(a)(x1)))
42.63/11.15	      b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) -> a{#,(f4)}(f4(b)(b(a)(x1))) ->
42.63/11.15	      a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(x1)))
42.63/11.15	      b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) -> a{#,(f4)}(f4(b)(b(a)(x1))) ->
42.63/11.15	      a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(f4)(x1)))
42.63/11.15	      b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) -> a{#,(f4)}(f4(b)(b(a)(x1))) ->
42.63/11.15	      a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> b{#,(f4)}(f4(a)(x1))
42.63/11.15	      b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) -> a{#,(f4)}(f4(b)(b(a)(x1))) ->
42.63/11.15	      a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(x1))
42.63/11.15	      b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) -> a{#,(f4)}(f4(b)(b(a)(x1))) ->
42.63/11.15	      a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(f4)(x1))
42.63/11.15	      b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) -> a{#,(f4)}(f4(b)(b(a)(x1))) ->
42.63/11.15	      a{#,(f4)}(f4(a)(a(a)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(a)(x1))))
42.63/11.15	      b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) -> a{#,(f4)}(f4(b)(b(a)(x1))) ->
42.63/11.15	      a{#,(f4)}(f4(a)(a(b)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(b)(x1))))
42.63/11.15	      b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) -> a{#,(f4)}(f4(b)(b(a)(x1))) ->
42.63/11.15	      a{#,(f4)}(f4(a)(a(f4)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(f4)(x1))))
42.63/11.15	      b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) -> a{#,(f4)}(f4(b)(b(a)(x1))) ->
42.63/11.15	      a{#,(f4)}(f4(a)(a(a)(x1))) -> b{#,(f4)}(f4(a)(a(a)(x1)))
42.63/11.15	      b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) -> a{#,(f4)}(f4(b)(b(a)(x1))) ->
42.63/11.15	      a{#,(f4)}(f4(a)(a(b)(x1))) -> b{#,(f4)}(f4(a)(a(b)(x1)))
42.64/11.16	      b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) -> a{#,(f4)}(f4(b)(b(a)(x1))) ->
42.64/11.16	      a{#,(f4)}(f4(a)(a(f4)(x1))) -> b{#,(f4)}(f4(a)(a(f4)(x1)))
42.64/11.16	      b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) -> a{#,(f4)}(f4(b)(b(f4)(x1))) ->
42.64/11.16	      a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(a)(x1))))
42.64/11.16	      b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) -> a{#,(f4)}(f4(b)(b(f4)(x1))) ->
42.64/11.16	      a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(b)(x1))))
42.64/11.16	      b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) -> a{#,(f4)}(f4(b)(b(f4)(x1))) ->
42.64/11.16	      a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(f4)(x1))))
42.64/11.16	      b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) -> a{#,(f4)}(f4(b)(b(f4)(x1))) ->
42.64/11.16	      a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> b{#,(f4)}(f4(b)(b(a)(x1)))
42.64/11.16	      b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) -> a{#,(f4)}(f4(b)(b(f4)(x1))) ->
42.64/11.16	      a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(x1)))
42.64/11.16	      b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) -> a{#,(f4)}(f4(b)(b(f4)(x1))) ->
42.64/11.16	      a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(f4)(x1)))
42.64/11.16	      b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) -> a{#,(f4)}(f4(b)(b(f4)(x1))) ->
42.64/11.16	      a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> b{#,(f4)}(f4(a)(x1))
42.64/11.16	      b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) -> a{#,(f4)}(f4(b)(b(f4)(x1))) ->
42.64/11.16	      a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(x1))
42.64/11.16	      b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) -> a{#,(f4)}(f4(b)(b(f4)(x1))) ->
42.64/11.16	      a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(f4)(x1))
42.64/11.16	      b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) -> a{#,(f4)}(f4(b)(b(f4)(x1))) ->
42.64/11.16	      a{#,(f4)}(f4(a)(a(a)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(a)(x1))))
42.64/11.16	      b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) -> a{#,(f4)}(f4(b)(b(f4)(x1))) ->
42.64/11.16	      a{#,(f4)}(f4(a)(a(b)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(b)(x1))))
42.64/11.16	      b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) -> a{#,(f4)}(f4(b)(b(f4)(x1))) ->
42.64/11.16	      a{#,(f4)}(f4(a)(a(f4)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(f4)(x1))))
42.64/11.16	      b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) -> a{#,(f4)}(f4(b)(b(f4)(x1))) ->
42.64/11.16	      a{#,(f4)}(f4(a)(a(a)(x1))) -> b{#,(f4)}(f4(a)(a(a)(x1)))
42.64/11.16	      b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) -> a{#,(f4)}(f4(b)(b(f4)(x1))) ->
42.64/11.16	      a{#,(f4)}(f4(a)(a(b)(x1))) -> b{#,(f4)}(f4(a)(a(b)(x1)))
42.64/11.16	      b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) -> a{#,(f4)}(f4(b)(b(f4)(x1))) ->
42.64/11.16	      a{#,(f4)}(f4(a)(a(f4)(x1))) -> b{#,(f4)}(f4(a)(a(f4)(x1)))
42.64/11.16	      b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(x1))) ->
42.64/11.16	      a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(a)(x1))))
42.64/11.16	      b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(x1))) ->
42.64/11.16	      a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(b)(x1))))
42.64/11.16	      b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(x1))) ->
42.64/11.16	      a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(f4)(x1))))
42.64/11.16	      b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(x1))) ->
42.64/11.16	      a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> b{#,(f4)}(f4(b)(b(a)(x1)))
42.64/11.16	      b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(x1))) ->
42.64/11.16	      a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(x1)))
42.64/11.16	      b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(x1))) ->
42.64/11.16	      a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(f4)(x1)))
42.64/11.16	      b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(x1))) ->
42.64/11.16	      a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> b{#,(f4)}(f4(a)(x1))
42.64/11.16	      b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(x1))) ->
42.64/11.16	      a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(x1))
42.64/11.16	      b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(x1))) ->
42.64/11.16	      a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(f4)(x1))
42.64/11.16	      b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(x1))) ->
42.64/11.16	      a{#,(f4)}(f4(a)(a(a)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(a)(x1))))
42.64/11.16	      b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(x1))) ->
42.64/11.16	      a{#,(f4)}(f4(a)(a(b)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(b)(x1))))
42.64/11.16	      b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(x1))) ->
42.64/11.16	      a{#,(f4)}(f4(a)(a(f4)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(f4)(x1))))
42.64/11.16	      b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(x1))) ->
42.64/11.16	      a{#,(f4)}(f4(a)(a(a)(x1))) -> b{#,(f4)}(f4(a)(a(a)(x1)))
42.64/11.21	      b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(x1))) ->
42.64/11.21	      a{#,(f4)}(f4(a)(a(b)(x1))) -> b{#,(f4)}(f4(a)(a(b)(x1)))
42.64/11.21	      b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(x1))) ->
42.64/11.21	      a{#,(f4)}(f4(a)(a(f4)(x1))) -> b{#,(f4)}(f4(a)(a(f4)(x1)))
42.64/11.21	     Polynomial Interpretation Processor:
42.64/11.21	      dimension: 1
42.64/11.21	      interpretation:
42.64/11.21	       [f4(f4)](x0) = x0,
42.64/11.21	       
42.64/11.21	       [a(a)](x0) = x0,
42.64/11.21	       
42.64/11.21	       [a(b)](x0) = x0,
42.64/11.21	       
42.64/11.21	       [a(f4)](x0) = x0 + 1,
42.64/11.21	       
42.64/11.21	       [f4(a)](x0) = x0,
42.64/11.21	       
42.64/11.21	       [b(a)](x0) = x0,
42.64/11.21	       
42.64/11.21	       [a{#,(f4)}](x0) = x0,
42.64/11.21	       
42.64/11.21	       [b(f4)](x0) = x0,
42.64/11.21	       
42.64/11.21	       [b(b)](x0) = x0,
42.64/11.21	       
42.64/11.21	       [f4(b)](x0) = x0,
42.64/11.21	       
42.64/11.21	       [b{#,(f4)}](x0) = x0
42.64/11.21	      orientation:
42.64/11.21	       b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) = x1 >= x1 = a{#,(f4)}(f4(b)(b(f4)(x1)))
42.64/11.21	       
42.64/11.21	       b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) = x1 >= x1 = a{#,(f4)}(f4(b)(b(b)(x1)))
42.64/11.21	       
42.64/11.21	       b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) = x1 >= x1 = a{#,(f4)}(f4(b)(b(a)(x1)))
42.64/11.21	       
42.64/11.21	       a{#,(f4)}(f4(a)(a(f4)(x1))) = x1 + 1 >= x1 + 1 = b{#,(f4)}(f4(a)(a(f4)(x1)))
42.64/11.21	       
42.64/11.21	       a{#,(f4)}(f4(a)(a(b)(x1))) = x1 >= x1 = b{#,(f4)}(f4(a)(a(b)(x1)))
42.64/11.21	       
42.64/11.21	       a{#,(f4)}(f4(a)(a(a)(x1))) = x1 >= x1 = b{#,(f4)}(f4(a)(a(a)(x1)))
42.64/11.21	       
42.64/11.21	       a{#,(f4)}(f4(a)(a(f4)(x1))) = x1 + 1 >= x1 + 1 = a{#,(f4)}(f4(b)(b(a)(a(f4)(x1))))
42.64/11.21	       
42.64/11.21	       a{#,(f4)}(f4(a)(a(b)(x1))) = x1 >= x1 = a{#,(f4)}(f4(b)(b(a)(a(b)(x1))))
42.64/11.21	       
42.64/11.21	       a{#,(f4)}(f4(a)(a(a)(x1))) = x1 >= x1 = a{#,(f4)}(f4(b)(b(a)(a(a)(x1))))
42.64/11.21	       
42.64/11.21	       a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) = x1 + 1 >= x1 = b{#,(f4)}(f4(f4)(x1))
42.64/11.21	       
42.64/11.21	       a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) = x1 >= x1 = b{#,(f4)}(f4(b)(x1))
42.64/11.21	       
42.64/11.21	       a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) = x1 >= x1 = b{#,(f4)}(f4(a)(x1))
42.64/11.21	       
42.64/11.21	       a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) = x1 + 1 >= x1 = b{#,(f4)}(f4(b)(b(f4)(x1)))
42.64/11.21	       
42.64/11.21	       a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) = x1 >= x1 = b{#,(f4)}(f4(b)(b(b)(x1)))
42.64/11.21	       
42.64/11.21	       a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) = x1 >= x1 = b{#,(f4)}(f4(b)(b(a)(x1)))
42.64/11.21	       
42.64/11.21	       a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) = x1 + 1 >= x1 = a{#,(f4)}(f4(b)(b(b)(b(f4)(x1))))
42.64/11.21	       
42.64/11.21	       a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) = x1 >= x1 = a{#,(f4)}(f4(b)(b(b)(b(b)(x1))))
42.64/11.21	       
42.64/11.21	       a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) = x1 >= x1 = a{#,(f4)}(f4(b)(b(b)(b(a)(x1))))
42.64/11.21	       
42.64/11.21	       f4(b)(b(b)(b(b)(b(f4)(x1)))) = x1 >= x1 = f4(a)(a(b)(b(f4)(x1)))
42.64/11.21	       
42.64/11.21	       f4(b)(b(b)(b(b)(b(b)(x1)))) = x1 >= x1 = f4(a)(a(b)(b(b)(x1)))
42.64/11.21	       
42.64/11.21	       f4(b)(b(b)(b(b)(b(a)(x1)))) = x1 >= x1 = f4(a)(a(b)(b(a)(x1)))
42.64/11.21	       
42.64/11.21	       b(b)(b(b)(b(b)(b(f4)(x1)))) = x1 >= x1 = b(a)(a(b)(b(f4)(x1)))
42.64/11.21	       
42.64/11.21	       b(b)(b(b)(b(b)(b(b)(x1)))) = x1 >= x1 = b(a)(a(b)(b(b)(x1)))
42.64/11.21	       
42.64/11.21	       b(b)(b(b)(b(b)(b(a)(x1)))) = x1 >= x1 = b(a)(a(b)(b(a)(x1)))
42.64/11.21	       
42.64/11.21	       a(b)(b(b)(b(b)(b(f4)(x1)))) = x1 >= x1 = a(a)(a(b)(b(f4)(x1)))
42.64/11.21	       
42.64/11.21	       a(b)(b(b)(b(b)(b(b)(x1)))) = x1 >= x1 = a(a)(a(b)(b(b)(x1)))
42.64/11.21	       
42.64/11.21	       a(b)(b(b)(b(b)(b(a)(x1)))) = x1 >= x1 = a(a)(a(b)(b(a)(x1)))
42.64/11.21	       
42.64/11.21	       a(a)(a(f4)(x1)) = x1 + 1 >= x1 + 1 = a(b)(b(a)(a(f4)(x1)))
42.64/11.21	       
42.64/11.21	       a(a)(a(b)(x1)) = x1 >= x1 = a(b)(b(a)(a(b)(x1)))
42.64/11.21	       
42.64/11.21	       a(a)(a(a)(x1)) = x1 >= x1 = a(b)(b(a)(a(a)(x1)))
42.64/11.21	       
42.64/11.21	       a(a)(a(a)(a(f4)(x1))) = x1 + 1 >= x1 = a(b)(b(b)(b(f4)(x1)))
42.64/11.21	       
42.64/11.21	       a(a)(a(a)(a(b)(x1))) = x1 >= x1 = a(b)(b(b)(b(b)(x1)))
42.64/11.21	       
42.64/11.21	       a(a)(a(a)(a(a)(x1))) = x1 >= x1 = a(b)(b(b)(b(a)(x1)))
42.64/11.21	      problem:
42.64/11.21	       DPs:
42.64/11.21	        b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) -> a{#,(f4)}(f4(b)(b(f4)(x1)))
42.64/11.21	        b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(x1)))
42.64/11.21	        b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) -> a{#,(f4)}(f4(b)(b(a)(x1)))
42.64/11.21	        a{#,(f4)}(f4(a)(a(f4)(x1))) -> b{#,(f4)}(f4(a)(a(f4)(x1)))
42.64/11.21	        a{#,(f4)}(f4(a)(a(b)(x1))) -> b{#,(f4)}(f4(a)(a(b)(x1)))
42.64/11.21	        a{#,(f4)}(f4(a)(a(a)(x1))) -> b{#,(f4)}(f4(a)(a(a)(x1)))
42.64/11.21	        a{#,(f4)}(f4(a)(a(f4)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(f4)(x1))))
42.64/11.21	        a{#,(f4)}(f4(a)(a(b)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(b)(x1))))
42.64/11.21	        a{#,(f4)}(f4(a)(a(a)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(a)(x1))))
42.70/11.26	        a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(x1))
42.70/11.26	        a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> b{#,(f4)}(f4(a)(x1))
42.70/11.26	        a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(x1)))
42.70/11.26	        a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> b{#,(f4)}(f4(b)(b(a)(x1)))
42.70/11.26	        a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(b)(x1))))
42.70/11.26	        a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(a)(x1))))
42.70/11.26	       TRS:
42.70/11.26	        f4(b)(b(b)(b(b)(b(f4)(x1)))) -> f4(a)(a(b)(b(f4)(x1)))
42.70/11.26	        f4(b)(b(b)(b(b)(b(b)(x1)))) -> f4(a)(a(b)(b(b)(x1)))
42.70/11.26	        f4(b)(b(b)(b(b)(b(a)(x1)))) -> f4(a)(a(b)(b(a)(x1)))
42.70/11.26	        b(b)(b(b)(b(b)(b(f4)(x1)))) -> b(a)(a(b)(b(f4)(x1)))
42.70/11.26	        b(b)(b(b)(b(b)(b(b)(x1)))) -> b(a)(a(b)(b(b)(x1)))
42.70/11.26	        b(b)(b(b)(b(b)(b(a)(x1)))) -> b(a)(a(b)(b(a)(x1)))
42.70/11.26	        a(b)(b(b)(b(b)(b(f4)(x1)))) -> a(a)(a(b)(b(f4)(x1)))
42.70/11.26	        a(b)(b(b)(b(b)(b(b)(x1)))) -> a(a)(a(b)(b(b)(x1)))
42.70/11.26	        a(b)(b(b)(b(b)(b(a)(x1)))) -> a(a)(a(b)(b(a)(x1)))
42.70/11.26	        a(a)(a(f4)(x1)) -> a(b)(b(a)(a(f4)(x1)))
42.70/11.26	        a(a)(a(b)(x1)) -> a(b)(b(a)(a(b)(x1)))
42.70/11.26	        a(a)(a(a)(x1)) -> a(b)(b(a)(a(a)(x1)))
42.70/11.26	        a(a)(a(a)(a(b)(x1))) -> a(b)(b(b)(b(b)(x1)))
42.70/11.26	        a(a)(a(a)(a(a)(x1))) -> a(b)(b(b)(b(a)(x1)))
42.70/11.26	      Polynomial Interpretation Processor:
42.70/11.26	       dimension: 1
42.70/11.26	       usable rules:
42.70/11.26	        f4(b)(b(b)(b(b)(b(f4)(x1)))) -> f4(a)(a(b)(b(f4)(x1)))
42.70/11.26	        f4(b)(b(b)(b(b)(b(b)(x1)))) -> f4(a)(a(b)(b(b)(x1)))
42.70/11.26	        f4(b)(b(b)(b(b)(b(a)(x1)))) -> f4(a)(a(b)(b(a)(x1)))
42.70/11.26	       interpretation:
42.70/11.26	        [a(a)](x0) = 0,
42.70/11.26	        
42.70/11.26	        [a(b)](x0) = 0,
42.70/11.26	        
42.70/11.26	        [a(f4)](x0) = 0,
42.70/11.26	        
42.70/11.26	        [f4(a)](x0) = 0,
42.70/11.26	        
42.70/11.26	        [b(a)](x0) = 0,
42.70/11.26	        
42.70/11.26	        [a{#,(f4)}](x0) = 1,
42.70/11.26	        
42.70/11.26	        [b(f4)](x0) = 0,
42.70/11.26	        
42.70/11.26	        [b(b)](x0) = 0,
42.70/11.26	        
42.70/11.26	        [f4(b)](x0) = 1,
42.70/11.26	        
42.70/11.26	        [b{#,(f4)}](x0) = x0
42.70/11.26	       orientation:
42.70/11.26	        b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) = 1 >= 1 = a{#,(f4)}(f4(b)(b(f4)(x1)))
42.70/11.26	        
42.70/11.26	        b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) = 1 >= 1 = a{#,(f4)}(f4(b)(b(b)(x1)))
42.70/11.26	        
42.70/11.26	        b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) = 1 >= 1 = a{#,(f4)}(f4(b)(b(a)(x1)))
42.70/11.26	        
42.70/11.26	        a{#,(f4)}(f4(a)(a(f4)(x1))) = 1 >= 0 = b{#,(f4)}(f4(a)(a(f4)(x1)))
42.70/11.26	        
42.70/11.26	        a{#,(f4)}(f4(a)(a(b)(x1))) = 1 >= 0 = b{#,(f4)}(f4(a)(a(b)(x1)))
42.70/11.26	        
42.70/11.26	        a{#,(f4)}(f4(a)(a(a)(x1))) = 1 >= 0 = b{#,(f4)}(f4(a)(a(a)(x1)))
42.70/11.26	        
42.70/11.26	        a{#,(f4)}(f4(a)(a(f4)(x1))) = 1 >= 1 = a{#,(f4)}(f4(b)(b(a)(a(f4)(x1))))
42.70/11.26	        
42.70/11.26	        a{#,(f4)}(f4(a)(a(b)(x1))) = 1 >= 1 = a{#,(f4)}(f4(b)(b(a)(a(b)(x1))))
42.70/11.26	        
42.70/11.26	        a{#,(f4)}(f4(a)(a(a)(x1))) = 1 >= 1 = a{#,(f4)}(f4(b)(b(a)(a(a)(x1))))
42.70/11.26	        
42.70/11.26	        a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) = 1 >= 1 = b{#,(f4)}(f4(b)(x1))
42.70/11.26	        
42.70/11.26	        a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) = 1 >= 0 = b{#,(f4)}(f4(a)(x1))
42.70/11.26	        
42.70/11.26	        a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) = 1 >= 1 = b{#,(f4)}(f4(b)(b(b)(x1)))
42.70/11.26	        
42.70/11.26	        a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) = 1 >= 1 = b{#,(f4)}(f4(b)(b(a)(x1)))
42.70/11.26	        
42.70/11.26	        a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) = 1 >= 1 = a{#,(f4)}(f4(b)(b(b)(b(b)(x1))))
42.70/11.26	        
42.70/11.26	        a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) = 1 >= 1 = a{#,(f4)}(f4(b)(b(b)(b(a)(x1))))
42.70/11.26	        
42.70/11.26	        f4(b)(b(b)(b(b)(b(f4)(x1)))) = 1 >= 0 = f4(a)(a(b)(b(f4)(x1)))
42.70/11.26	        
42.70/11.26	        f4(b)(b(b)(b(b)(b(b)(x1)))) = 1 >= 0 = f4(a)(a(b)(b(b)(x1)))
42.70/11.26	        
42.70/11.26	        f4(b)(b(b)(b(b)(b(a)(x1)))) = 1 >= 0 = f4(a)(a(b)(b(a)(x1)))
42.70/11.26	        
42.70/11.26	        b(b)(b(b)(b(b)(b(f4)(x1)))) = 0 >= 0 = b(a)(a(b)(b(f4)(x1)))
42.70/11.26	        
42.70/11.26	        b(b)(b(b)(b(b)(b(b)(x1)))) = 0 >= 0 = b(a)(a(b)(b(b)(x1)))
42.70/11.26	        
42.70/11.26	        b(b)(b(b)(b(b)(b(a)(x1)))) = 0 >= 0 = b(a)(a(b)(b(a)(x1)))
42.70/11.26	        
42.70/11.26	        a(b)(b(b)(b(b)(b(f4)(x1)))) = 0 >= 0 = a(a)(a(b)(b(f4)(x1)))
42.70/11.26	        
42.70/11.26	        a(b)(b(b)(b(b)(b(b)(x1)))) = 0 >= 0 = a(a)(a(b)(b(b)(x1)))
42.70/11.26	        
42.70/11.26	        a(b)(b(b)(b(b)(b(a)(x1)))) = 0 >= 0 = a(a)(a(b)(b(a)(x1)))
42.70/11.26	        
42.70/11.26	        a(a)(a(f4)(x1)) = 0 >= 0 = a(b)(b(a)(a(f4)(x1)))
42.70/11.26	        
42.70/11.26	        a(a)(a(b)(x1)) = 0 >= 0 = a(b)(b(a)(a(b)(x1)))
42.70/11.26	        
42.70/11.26	        a(a)(a(a)(x1)) = 0 >= 0 = a(b)(b(a)(a(a)(x1)))
42.74/11.29	        
42.74/11.29	        a(a)(a(a)(a(b)(x1))) = 0 >= 0 = a(b)(b(b)(b(b)(x1)))
42.74/11.29	        
42.74/11.29	        a(a)(a(a)(a(a)(x1))) = 0 >= 0 = a(b)(b(b)(b(a)(x1)))
42.74/11.29	       problem:
42.74/11.29	        DPs:
42.74/11.29	         b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) -> a{#,(f4)}(f4(b)(b(f4)(x1)))
42.74/11.29	         b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(x1)))
42.74/11.29	         b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) -> a{#,(f4)}(f4(b)(b(a)(x1)))
42.74/11.29	         a{#,(f4)}(f4(a)(a(f4)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(f4)(x1))))
42.74/11.29	         a{#,(f4)}(f4(a)(a(b)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(b)(x1))))
42.74/11.29	         a{#,(f4)}(f4(a)(a(a)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(a)(x1))))
42.74/11.29	         a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(x1))
42.74/11.29	         a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(x1)))
42.74/11.29	         a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> b{#,(f4)}(f4(b)(b(a)(x1)))
42.74/11.29	         a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(b)(x1))))
42.74/11.29	         a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(a)(x1))))
42.74/11.29	        TRS:
42.74/11.29	         f4(b)(b(b)(b(b)(b(f4)(x1)))) -> f4(a)(a(b)(b(f4)(x1)))
42.74/11.29	         f4(b)(b(b)(b(b)(b(b)(x1)))) -> f4(a)(a(b)(b(b)(x1)))
42.74/11.29	         f4(b)(b(b)(b(b)(b(a)(x1)))) -> f4(a)(a(b)(b(a)(x1)))
42.74/11.29	         b(b)(b(b)(b(b)(b(f4)(x1)))) -> b(a)(a(b)(b(f4)(x1)))
42.74/11.29	         b(b)(b(b)(b(b)(b(b)(x1)))) -> b(a)(a(b)(b(b)(x1)))
42.74/11.29	         b(b)(b(b)(b(b)(b(a)(x1)))) -> b(a)(a(b)(b(a)(x1)))
42.74/11.29	         a(b)(b(b)(b(b)(b(f4)(x1)))) -> a(a)(a(b)(b(f4)(x1)))
42.74/11.29	         a(b)(b(b)(b(b)(b(b)(x1)))) -> a(a)(a(b)(b(b)(x1)))
42.74/11.29	         a(b)(b(b)(b(b)(b(a)(x1)))) -> a(a)(a(b)(b(a)(x1)))
42.74/11.29	         a(a)(a(f4)(x1)) -> a(b)(b(a)(a(f4)(x1)))
42.74/11.29	         a(a)(a(b)(x1)) -> a(b)(b(a)(a(b)(x1)))
42.74/11.29	         a(a)(a(a)(x1)) -> a(b)(b(a)(a(a)(x1)))
42.74/11.29	         a(a)(a(a)(a(b)(x1))) -> a(b)(b(b)(b(b)(x1)))
42.74/11.29	         a(a)(a(a)(a(a)(x1))) -> a(b)(b(b)(b(a)(x1)))
42.74/11.29	       Polynomial Interpretation Processor:
42.74/11.29	        dimension: 1
42.74/11.29	        usable rules:
42.74/11.29	         f4(b)(b(b)(b(b)(b(f4)(x1)))) -> f4(a)(a(b)(b(f4)(x1)))
42.74/11.29	         f4(b)(b(b)(b(b)(b(b)(x1)))) -> f4(a)(a(b)(b(b)(x1)))
42.74/11.29	         f4(b)(b(b)(b(b)(b(a)(x1)))) -> f4(a)(a(b)(b(a)(x1)))
42.74/11.29	         a(b)(b(b)(b(b)(b(f4)(x1)))) -> a(a)(a(b)(b(f4)(x1)))
42.74/11.29	         a(b)(b(b)(b(b)(b(b)(x1)))) -> a(a)(a(b)(b(b)(x1)))
42.74/11.29	         a(b)(b(b)(b(b)(b(a)(x1)))) -> a(a)(a(b)(b(a)(x1)))
42.74/11.29	         a(a)(a(f4)(x1)) -> a(b)(b(a)(a(f4)(x1)))
42.74/11.29	         a(a)(a(b)(x1)) -> a(b)(b(a)(a(b)(x1)))
42.74/11.29	         a(a)(a(a)(x1)) -> a(b)(b(a)(a(a)(x1)))
42.74/11.29	         a(a)(a(a)(a(b)(x1))) -> a(b)(b(b)(b(b)(x1)))
42.74/11.29	         a(a)(a(a)(a(a)(x1))) -> a(b)(b(b)(b(a)(x1)))
42.74/11.29	        interpretation:
42.74/11.29	         [a(a)](x0) = 0,
42.74/11.29	         
42.74/11.29	         [a(b)](x0) = 0,
42.74/11.29	         
42.74/11.29	         [a(f4)](x0) = 1,
42.74/11.29	         
42.74/11.29	         [f4(a)](x0) = x0,
42.74/11.29	         
42.74/11.29	         [b(a)](x0) = 0,
42.74/11.29	         
42.74/11.29	         [a{#,(f4)}](x0) = x0,
42.74/11.29	         
42.74/11.29	         [b(f4)](x0) = 0,
42.74/11.29	         
42.74/11.29	         [b(b)](x0) = 0,
42.74/11.29	         
42.74/11.29	         [f4(b)](x0) = 0,
42.74/11.29	         
42.74/11.29	         [b{#,(f4)}](x0) = 0
42.74/11.29	        orientation:
42.74/11.29	         b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) = 0 >= 0 = a{#,(f4)}(f4(b)(b(f4)(x1)))
42.74/11.29	         
42.74/11.29	         b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) = 0 >= 0 = a{#,(f4)}(f4(b)(b(b)(x1)))
42.74/11.29	         
42.74/11.29	         b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) = 0 >= 0 = a{#,(f4)}(f4(b)(b(a)(x1)))
42.74/11.29	         
42.74/11.29	         a{#,(f4)}(f4(a)(a(f4)(x1))) = 1 >= 0 = a{#,(f4)}(f4(b)(b(a)(a(f4)(x1))))
42.74/11.29	         
42.74/11.29	         a{#,(f4)}(f4(a)(a(b)(x1))) = 0 >= 0 = a{#,(f4)}(f4(b)(b(a)(a(b)(x1))))
42.74/11.29	         
42.74/11.29	         a{#,(f4)}(f4(a)(a(a)(x1))) = 0 >= 0 = a{#,(f4)}(f4(b)(b(a)(a(a)(x1))))
42.74/11.29	         
42.74/11.29	         a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) = 0 >= 0 = b{#,(f4)}(f4(b)(x1))
42.74/11.29	         
42.74/11.29	         a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) = 0 >= 0 = b{#,(f4)}(f4(b)(b(b)(x1)))
42.74/11.29	         
42.74/11.29	         a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) = 0 >= 0 = b{#,(f4)}(f4(b)(b(a)(x1)))
42.74/11.29	         
42.74/11.29	         a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) = 0 >= 0 = a{#,(f4)}(f4(b)(b(b)(b(b)(x1))))
42.74/11.29	         
42.74/11.29	         a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) = 0 >= 0 = a{#,(f4)}(f4(b)(b(b)(b(a)(x1))))
42.74/11.29	         
42.74/11.29	         f4(b)(b(b)(b(b)(b(f4)(x1)))) = 0 >= 0 = f4(a)(a(b)(b(f4)(x1)))
42.74/11.29	         
42.74/11.29	         f4(b)(b(b)(b(b)(b(b)(x1)))) = 0 >= 0 = f4(a)(a(b)(b(b)(x1)))
42.74/11.29	         
42.74/11.29	         f4(b)(b(b)(b(b)(b(a)(x1)))) = 0 >= 0 = f4(a)(a(b)(b(a)(x1)))
42.74/11.31	         
42.74/11.31	         b(b)(b(b)(b(b)(b(f4)(x1)))) = 0 >= 0 = b(a)(a(b)(b(f4)(x1)))
42.74/11.31	         
42.74/11.31	         b(b)(b(b)(b(b)(b(b)(x1)))) = 0 >= 0 = b(a)(a(b)(b(b)(x1)))
42.74/11.31	         
42.74/11.31	         b(b)(b(b)(b(b)(b(a)(x1)))) = 0 >= 0 = b(a)(a(b)(b(a)(x1)))
42.74/11.31	         
42.74/11.31	         a(b)(b(b)(b(b)(b(f4)(x1)))) = 0 >= 0 = a(a)(a(b)(b(f4)(x1)))
42.74/11.31	         
42.74/11.31	         a(b)(b(b)(b(b)(b(b)(x1)))) = 0 >= 0 = a(a)(a(b)(b(b)(x1)))
42.74/11.31	         
42.74/11.31	         a(b)(b(b)(b(b)(b(a)(x1)))) = 0 >= 0 = a(a)(a(b)(b(a)(x1)))
42.74/11.31	         
42.74/11.31	         a(a)(a(f4)(x1)) = 0 >= 0 = a(b)(b(a)(a(f4)(x1)))
42.74/11.31	         
42.74/11.31	         a(a)(a(b)(x1)) = 0 >= 0 = a(b)(b(a)(a(b)(x1)))
42.74/11.31	         
42.74/11.31	         a(a)(a(a)(x1)) = 0 >= 0 = a(b)(b(a)(a(a)(x1)))
42.74/11.31	         
42.74/11.31	         a(a)(a(a)(a(b)(x1))) = 0 >= 0 = a(b)(b(b)(b(b)(x1)))
42.74/11.31	         
42.74/11.31	         a(a)(a(a)(a(a)(x1))) = 0 >= 0 = a(b)(b(b)(b(a)(x1)))
42.74/11.31	        problem:
42.74/11.31	         DPs:
42.74/11.31	          b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) -> a{#,(f4)}(f4(b)(b(f4)(x1)))
42.74/11.31	          b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(x1)))
42.74/11.31	          b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) -> a{#,(f4)}(f4(b)(b(a)(x1)))
42.74/11.31	          a{#,(f4)}(f4(a)(a(b)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(b)(x1))))
42.74/11.31	          a{#,(f4)}(f4(a)(a(a)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(a)(x1))))
42.74/11.31	          a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(x1))
42.74/11.31	          a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(x1)))
42.74/11.31	          a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> b{#,(f4)}(f4(b)(b(a)(x1)))
42.74/11.31	          a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(b)(x1))))
42.74/11.31	          a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(a)(x1))))
42.74/11.31	         TRS:
42.74/11.31	          f4(b)(b(b)(b(b)(b(f4)(x1)))) -> f4(a)(a(b)(b(f4)(x1)))
42.74/11.31	          f4(b)(b(b)(b(b)(b(b)(x1)))) -> f4(a)(a(b)(b(b)(x1)))
42.74/11.31	          f4(b)(b(b)(b(b)(b(a)(x1)))) -> f4(a)(a(b)(b(a)(x1)))
42.74/11.31	          b(b)(b(b)(b(b)(b(f4)(x1)))) -> b(a)(a(b)(b(f4)(x1)))
42.74/11.31	          b(b)(b(b)(b(b)(b(b)(x1)))) -> b(a)(a(b)(b(b)(x1)))
42.74/11.31	          b(b)(b(b)(b(b)(b(a)(x1)))) -> b(a)(a(b)(b(a)(x1)))
42.74/11.31	          a(b)(b(b)(b(b)(b(f4)(x1)))) -> a(a)(a(b)(b(f4)(x1)))
42.74/11.31	          a(b)(b(b)(b(b)(b(b)(x1)))) -> a(a)(a(b)(b(b)(x1)))
42.74/11.31	          a(b)(b(b)(b(b)(b(a)(x1)))) -> a(a)(a(b)(b(a)(x1)))
42.74/11.31	          a(a)(a(f4)(x1)) -> a(b)(b(a)(a(f4)(x1)))
42.74/11.31	          a(a)(a(b)(x1)) -> a(b)(b(a)(a(b)(x1)))
42.74/11.31	          a(a)(a(a)(x1)) -> a(b)(b(a)(a(a)(x1)))
42.74/11.31	          a(a)(a(a)(a(b)(x1))) -> a(b)(b(b)(b(b)(x1)))
42.74/11.31	          a(a)(a(a)(a(a)(x1))) -> a(b)(b(b)(b(a)(x1)))
42.74/11.31	        Polynomial Interpretation Processor:
42.74/11.31	         dimension: 1
42.74/11.31	         usable rules:
42.74/11.31	          f4(b)(b(b)(b(b)(b(f4)(x1)))) -> f4(a)(a(b)(b(f4)(x1)))
42.74/11.31	          f4(b)(b(b)(b(b)(b(b)(x1)))) -> f4(a)(a(b)(b(b)(x1)))
42.74/11.31	          f4(b)(b(b)(b(b)(b(a)(x1)))) -> f4(a)(a(b)(b(a)(x1)))
42.74/11.31	          b(b)(b(b)(b(b)(b(f4)(x1)))) -> b(a)(a(b)(b(f4)(x1)))
42.74/11.31	          b(b)(b(b)(b(b)(b(b)(x1)))) -> b(a)(a(b)(b(b)(x1)))
42.74/11.31	          b(b)(b(b)(b(b)(b(a)(x1)))) -> b(a)(a(b)(b(a)(x1)))
42.74/11.31	          a(b)(b(b)(b(b)(b(f4)(x1)))) -> a(a)(a(b)(b(f4)(x1)))
42.74/11.31	          a(b)(b(b)(b(b)(b(b)(x1)))) -> a(a)(a(b)(b(b)(x1)))
42.74/11.31	          a(b)(b(b)(b(b)(b(a)(x1)))) -> a(a)(a(b)(b(a)(x1)))
42.74/11.31	          a(a)(a(f4)(x1)) -> a(b)(b(a)(a(f4)(x1)))
42.74/11.31	          a(a)(a(b)(x1)) -> a(b)(b(a)(a(b)(x1)))
42.74/11.31	          a(a)(a(a)(x1)) -> a(b)(b(a)(a(a)(x1)))
42.74/11.31	          a(a)(a(a)(a(b)(x1))) -> a(b)(b(b)(b(b)(x1)))
42.74/11.31	          a(a)(a(a)(a(a)(x1))) -> a(b)(b(b)(b(a)(x1)))
42.74/11.31	         interpretation:
42.74/11.31	          [a(a)](x0) = x0 + 1,
42.74/11.31	          
42.74/11.31	          [a(b)](x0) = x0 + 1,
42.74/11.31	          
42.74/11.31	          [a(f4)](x0) = 0,
42.74/11.31	          
42.74/11.31	          [f4(a)](x0) = x0,
42.74/11.31	          
42.74/11.31	          [b(a)](x0) = 0,
42.74/11.31	          
42.74/11.31	          [a{#,(f4)}](x0) = x0,
42.74/11.31	          
42.74/11.31	          [b(f4)](x0) = 0,
42.74/11.31	          
42.74/11.31	          [b(b)](x0) = x0 + 1,
42.74/11.31	          
42.74/11.31	          [f4(b)](x0) = x0,
42.74/11.31	          
42.74/11.31	          [b{#,(f4)}](x0) = x0
42.74/11.31	         orientation:
42.74/11.31	          b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) = 1 >= 0 = a{#,(f4)}(f4(b)(b(f4)(x1)))
42.74/11.31	          
42.74/11.31	          b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) = x1 + 2 >= x1 + 1 = a{#,(f4)}(f4(b)(b(b)(x1)))
42.74/11.31	          
42.74/11.31	          b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) = 1 >= 0 = a{#,(f4)}(f4(b)(b(a)(x1)))
42.74/11.31	          
42.84/11.35	          a{#,(f4)}(f4(a)(a(b)(x1))) = x1 + 1 >= 0 = a{#,(f4)}(f4(b)(b(a)(a(b)(x1))))
42.84/11.35	          
42.84/11.35	          a{#,(f4)}(f4(a)(a(a)(x1))) = x1 + 1 >= 0 = a{#,(f4)}(f4(b)(b(a)(a(a)(x1))))
42.84/11.35	          
42.84/11.35	          a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) = x1 + 2 >= x1 = b{#,(f4)}(f4(b)(x1))
42.84/11.35	          
42.84/11.35	          a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) = x1 + 2 >= x1 + 1 = b{#,(f4)}(f4(b)(b(b)(x1)))
42.84/11.35	          
42.84/11.35	          a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) = x1 + 2 >= 0 = b{#,(f4)}(f4(b)(b(a)(x1)))
42.84/11.35	          
42.84/11.35	          a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) = x1 + 2 >= x1 + 2 = a{#,(f4)}(f4(b)(b(b)(b(b)(x1))))
42.84/11.35	          
42.84/11.35	          a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) = x1 + 2 >= 1 = a{#,(f4)}(f4(b)(b(b)(b(a)(x1))))
42.84/11.35	          
42.84/11.35	          f4(b)(b(b)(b(b)(b(f4)(x1)))) = 2 >= 1 = f4(a)(a(b)(b(f4)(x1)))
42.84/11.35	          
42.84/11.35	          f4(b)(b(b)(b(b)(b(b)(x1)))) = x1 + 3 >= x1 + 2 = f4(a)(a(b)(b(b)(x1)))
42.84/11.35	          
42.84/11.35	          f4(b)(b(b)(b(b)(b(a)(x1)))) = 2 >= 1 = f4(a)(a(b)(b(a)(x1)))
42.84/11.35	          
42.84/11.35	          b(b)(b(b)(b(b)(b(f4)(x1)))) = 3 >= 0 = b(a)(a(b)(b(f4)(x1)))
42.84/11.35	          
42.84/11.35	          b(b)(b(b)(b(b)(b(b)(x1)))) = x1 + 4 >= 0 = b(a)(a(b)(b(b)(x1)))
42.84/11.35	          
42.84/11.35	          b(b)(b(b)(b(b)(b(a)(x1)))) = 3 >= 0 = b(a)(a(b)(b(a)(x1)))
42.84/11.35	          
42.84/11.35	          a(b)(b(b)(b(b)(b(f4)(x1)))) = 3 >= 2 = a(a)(a(b)(b(f4)(x1)))
42.84/11.35	          
42.84/11.35	          a(b)(b(b)(b(b)(b(b)(x1)))) = x1 + 4 >= x1 + 3 = a(a)(a(b)(b(b)(x1)))
42.84/11.35	          
42.84/11.35	          a(b)(b(b)(b(b)(b(a)(x1)))) = 3 >= 2 = a(a)(a(b)(b(a)(x1)))
42.84/11.35	          
42.84/11.35	          a(a)(a(f4)(x1)) = 1 >= 1 = a(b)(b(a)(a(f4)(x1)))
42.84/11.35	          
42.84/11.35	          a(a)(a(b)(x1)) = x1 + 2 >= 1 = a(b)(b(a)(a(b)(x1)))
42.84/11.35	          
42.84/11.35	          a(a)(a(a)(x1)) = x1 + 2 >= 1 = a(b)(b(a)(a(a)(x1)))
42.84/11.35	          
42.84/11.35	          a(a)(a(a)(a(b)(x1))) = x1 + 3 >= x1 + 3 = a(b)(b(b)(b(b)(x1)))
42.84/11.35	          
42.84/11.35	          a(a)(a(a)(a(a)(x1))) = x1 + 3 >= 2 = a(b)(b(b)(b(a)(x1)))
42.84/11.35	         problem:
42.84/11.35	          DPs:
42.84/11.35	           a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> a{#,(f4)}(f4(b)(b(b)(b(b)(x1))))
42.84/11.35	          TRS:
42.84/11.35	           f4(b)(b(b)(b(b)(b(f4)(x1)))) -> f4(a)(a(b)(b(f4)(x1)))
42.84/11.35	           f4(b)(b(b)(b(b)(b(b)(x1)))) -> f4(a)(a(b)(b(b)(x1)))
42.84/11.35	           f4(b)(b(b)(b(b)(b(a)(x1)))) -> f4(a)(a(b)(b(a)(x1)))
42.84/11.35	           b(b)(b(b)(b(b)(b(f4)(x1)))) -> b(a)(a(b)(b(f4)(x1)))
42.84/11.35	           b(b)(b(b)(b(b)(b(b)(x1)))) -> b(a)(a(b)(b(b)(x1)))
42.84/11.35	           b(b)(b(b)(b(b)(b(a)(x1)))) -> b(a)(a(b)(b(a)(x1)))
42.84/11.35	           a(b)(b(b)(b(b)(b(f4)(x1)))) -> a(a)(a(b)(b(f4)(x1)))
42.84/11.35	           a(b)(b(b)(b(b)(b(b)(x1)))) -> a(a)(a(b)(b(b)(x1)))
42.84/11.35	           a(b)(b(b)(b(b)(b(a)(x1)))) -> a(a)(a(b)(b(a)(x1)))
42.84/11.35	           a(a)(a(f4)(x1)) -> a(b)(b(a)(a(f4)(x1)))
42.84/11.35	           a(a)(a(b)(x1)) -> a(b)(b(a)(a(b)(x1)))
42.84/11.35	           a(a)(a(a)(x1)) -> a(b)(b(a)(a(a)(x1)))
42.84/11.35	           a(a)(a(a)(a(b)(x1))) -> a(b)(b(b)(b(b)(x1)))
42.84/11.35	           a(a)(a(a)(a(a)(x1))) -> a(b)(b(b)(b(a)(x1)))
42.84/11.35	         Polynomial Interpretation Processor:
42.84/11.35	          dimension: 1
42.84/11.35	          usable rules:
42.84/11.35	           f4(b)(b(b)(b(b)(b(f4)(x1)))) -> f4(a)(a(b)(b(f4)(x1)))
42.84/11.35	           f4(b)(b(b)(b(b)(b(b)(x1)))) -> f4(a)(a(b)(b(b)(x1)))
42.84/11.35	           f4(b)(b(b)(b(b)(b(a)(x1)))) -> f4(a)(a(b)(b(a)(x1)))
42.84/11.35	           b(b)(b(b)(b(b)(b(f4)(x1)))) -> b(a)(a(b)(b(f4)(x1)))
42.84/11.35	           b(b)(b(b)(b(b)(b(b)(x1)))) -> b(a)(a(b)(b(b)(x1)))
42.84/11.35	           b(b)(b(b)(b(b)(b(a)(x1)))) -> b(a)(a(b)(b(a)(x1)))
42.84/11.35	           a(b)(b(b)(b(b)(b(f4)(x1)))) -> a(a)(a(b)(b(f4)(x1)))
42.84/11.35	           a(b)(b(b)(b(b)(b(b)(x1)))) -> a(a)(a(b)(b(b)(x1)))
42.84/11.35	           a(b)(b(b)(b(b)(b(a)(x1)))) -> a(a)(a(b)(b(a)(x1)))
42.84/11.35	           a(a)(a(f4)(x1)) -> a(b)(b(a)(a(f4)(x1)))
42.84/11.35	           a(a)(a(b)(x1)) -> a(b)(b(a)(a(b)(x1)))
42.84/11.35	           a(a)(a(a)(x1)) -> a(b)(b(a)(a(a)(x1)))
42.84/11.35	           a(a)(a(a)(a(b)(x1))) -> a(b)(b(b)(b(b)(x1)))
42.84/11.35	           a(a)(a(a)(a(a)(x1))) -> a(b)(b(b)(b(a)(x1)))
42.84/11.35	          interpretation:
42.84/11.35	           [a(a)](x0) = x0 + 1,
42.84/11.35	           
42.84/11.35	           [a(b)](x0) = x0 + 1,
42.84/11.35	           
42.84/11.35	           [a(f4)](x0) = 0,
42.84/11.35	           
42.84/11.35	           [f4(a)](x0) = x0 + 1,
42.84/11.35	           
42.84/11.35	           [b(a)](x0) = x0,
42.84/11.35	           
42.84/11.35	           [a{#,(f4)}](x0) = x0,
42.84/11.35	           
42.84/11.35	           [b(f4)](x0) = 1,
42.84/11.35	           
42.84/11.35	           [b(b)](x0) = x0 + 1,
42.84/11.35	           
42.84/11.35	           [f4(b)](x0) = x0
42.84/11.37	          orientation:
42.84/11.37	           a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) = x1 + 3 >= x1 + 2 = a{#,(f4)}(f4(b)(b(b)(b(b)(x1))))
42.84/11.37	           
42.84/11.37	           f4(b)(b(b)(b(b)(b(f4)(x1)))) = 3 >= 3 = f4(a)(a(b)(b(f4)(x1)))
42.84/11.37	           
42.84/11.37	           f4(b)(b(b)(b(b)(b(b)(x1)))) = x1 + 3 >= x1 + 3 = f4(a)(a(b)(b(b)(x1)))
42.84/11.37	           
42.84/11.37	           f4(b)(b(b)(b(b)(b(a)(x1)))) = x1 + 2 >= x1 + 2 = f4(a)(a(b)(b(a)(x1)))
42.84/11.37	           
42.84/11.37	           b(b)(b(b)(b(b)(b(f4)(x1)))) = 4 >= 2 = b(a)(a(b)(b(f4)(x1)))
42.84/11.37	           
42.84/11.37	           b(b)(b(b)(b(b)(b(b)(x1)))) = x1 + 4 >= x1 + 2 = b(a)(a(b)(b(b)(x1)))
42.84/11.37	           
42.84/11.37	           b(b)(b(b)(b(b)(b(a)(x1)))) = x1 + 3 >= x1 + 1 = b(a)(a(b)(b(a)(x1)))
42.84/11.37	           
42.84/11.37	           a(b)(b(b)(b(b)(b(f4)(x1)))) = 4 >= 3 = a(a)(a(b)(b(f4)(x1)))
42.84/11.37	           
42.84/11.37	           a(b)(b(b)(b(b)(b(b)(x1)))) = x1 + 4 >= x1 + 3 = a(a)(a(b)(b(b)(x1)))
42.84/11.37	           
42.84/11.37	           a(b)(b(b)(b(b)(b(a)(x1)))) = x1 + 3 >= x1 + 2 = a(a)(a(b)(b(a)(x1)))
42.84/11.37	           
42.84/11.37	           a(a)(a(f4)(x1)) = 1 >= 1 = a(b)(b(a)(a(f4)(x1)))
42.84/11.37	           
42.84/11.37	           a(a)(a(b)(x1)) = x1 + 2 >= x1 + 2 = a(b)(b(a)(a(b)(x1)))
42.84/11.37	           
42.84/11.37	           a(a)(a(a)(x1)) = x1 + 2 >= x1 + 2 = a(b)(b(a)(a(a)(x1)))
42.84/11.37	           
42.84/11.37	           a(a)(a(a)(a(b)(x1))) = x1 + 3 >= x1 + 3 = a(b)(b(b)(b(b)(x1)))
42.84/11.37	           
42.84/11.37	           a(a)(a(a)(a(a)(x1))) = x1 + 3 >= x1 + 2 = a(b)(b(b)(b(a)(x1)))
42.84/11.37	          problem:
42.84/11.37	           DPs:
42.84/11.37	            
42.84/11.37	           TRS:
42.84/11.37	            f4(b)(b(b)(b(b)(b(f4)(x1)))) -> f4(a)(a(b)(b(f4)(x1)))
42.84/11.37	            f4(b)(b(b)(b(b)(b(b)(x1)))) -> f4(a)(a(b)(b(b)(x1)))
42.84/11.37	            f4(b)(b(b)(b(b)(b(a)(x1)))) -> f4(a)(a(b)(b(a)(x1)))
42.84/11.37	            b(b)(b(b)(b(b)(b(f4)(x1)))) -> b(a)(a(b)(b(f4)(x1)))
42.84/11.37	            b(b)(b(b)(b(b)(b(b)(x1)))) -> b(a)(a(b)(b(b)(x1)))
42.84/11.37	            b(b)(b(b)(b(b)(b(a)(x1)))) -> b(a)(a(b)(b(a)(x1)))
42.84/11.37	            a(b)(b(b)(b(b)(b(f4)(x1)))) -> a(a)(a(b)(b(f4)(x1)))
42.84/11.37	            a(b)(b(b)(b(b)(b(b)(x1)))) -> a(a)(a(b)(b(b)(x1)))
42.84/11.37	            a(b)(b(b)(b(b)(b(a)(x1)))) -> a(a)(a(b)(b(a)(x1)))
42.84/11.37	            a(a)(a(f4)(x1)) -> a(b)(b(a)(a(f4)(x1)))
42.84/11.37	            a(a)(a(b)(x1)) -> a(b)(b(a)(a(b)(x1)))
42.84/11.37	            a(a)(a(a)(x1)) -> a(b)(b(a)(a(a)(x1)))
42.84/11.37	            a(a)(a(a)(a(b)(x1))) -> a(b)(b(b)(b(b)(x1)))
42.84/11.37	            a(a)(a(a)(a(a)(x1))) -> a(b)(b(b)(b(a)(x1)))
42.84/11.37	          Qed
42.84/11.38	EOF