168.28/43.41	YES
168.28/43.42	
168.28/43.42	Problem:
168.28/43.42	 a(x1) -> x1
168.28/43.42	 a(a(b(x1))) -> b(b(a(a(x1))))
168.28/43.42	 b(x1) -> c(c(a(x1)))
168.28/43.42	
168.28/43.42	Proof:
168.28/43.42	 String Reversal Processor:
168.28/43.42	  a(x1) -> x1
168.28/43.42	  b(a(a(x1))) -> a(a(b(b(x1))))
168.28/43.42	  b(x1) -> a(c(c(x1)))
168.28/43.42	  DP Processor:
168.28/43.42	   DPs:
168.28/43.42	    b#(a(a(x1))) -> b#(x1)
168.28/43.42	    b#(a(a(x1))) -> b#(b(x1))
168.28/43.42	    b#(a(a(x1))) -> a#(b(b(x1)))
168.28/43.42	    b#(a(a(x1))) -> a#(a(b(b(x1))))
168.28/43.42	    b#(x1) -> a#(c(c(x1)))
168.28/43.42	   TRS:
168.28/43.42	    a(x1) -> x1
168.28/43.42	    b(a(a(x1))) -> a(a(b(b(x1))))
168.28/43.42	    b(x1) -> a(c(c(x1)))
168.28/43.42	   TDG Processor:
168.28/43.42	    DPs:
168.28/43.42	     b#(a(a(x1))) -> b#(x1)
168.28/43.42	     b#(a(a(x1))) -> b#(b(x1))
168.28/43.42	     b#(a(a(x1))) -> a#(b(b(x1)))
168.28/43.42	     b#(a(a(x1))) -> a#(a(b(b(x1))))
168.28/43.42	     b#(x1) -> a#(c(c(x1)))
168.28/43.42	    TRS:
168.28/43.42	     a(x1) -> x1
168.28/43.42	     b(a(a(x1))) -> a(a(b(b(x1))))
168.28/43.42	     b(x1) -> a(c(c(x1)))
168.28/43.42	    graph:
168.28/43.42	     b#(a(a(x1))) -> b#(b(x1)) -> b#(x1) -> a#(c(c(x1)))
168.28/43.42	     b#(a(a(x1))) -> b#(b(x1)) -> b#(a(a(x1))) -> a#(a(b(b(x1))))
168.28/43.42	     b#(a(a(x1))) -> b#(b(x1)) -> b#(a(a(x1))) -> a#(b(b(x1)))
168.28/43.42	     b#(a(a(x1))) -> b#(b(x1)) -> b#(a(a(x1))) -> b#(b(x1))
168.28/43.42	     b#(a(a(x1))) -> b#(b(x1)) -> b#(a(a(x1))) -> b#(x1)
168.28/43.42	     b#(a(a(x1))) -> b#(x1) -> b#(x1) -> a#(c(c(x1)))
168.28/43.42	     b#(a(a(x1))) -> b#(x1) -> b#(a(a(x1))) -> a#(a(b(b(x1))))
168.28/43.42	     b#(a(a(x1))) -> b#(x1) -> b#(a(a(x1))) -> a#(b(b(x1)))
168.28/43.42	     b#(a(a(x1))) -> b#(x1) -> b#(a(a(x1))) -> b#(b(x1))
168.28/43.42	     b#(a(a(x1))) -> b#(x1) -> b#(a(a(x1))) -> b#(x1)
168.28/43.42	    SCC Processor:
168.28/43.42	     #sccs: 1
168.28/43.42	     #rules: 2
168.28/43.42	     #arcs: 10/25
168.28/43.42	     DPs:
168.28/43.42	      b#(a(a(x1))) -> b#(b(x1))
168.28/43.42	      b#(a(a(x1))) -> b#(x1)
168.28/43.42	     TRS:
168.28/43.42	      a(x1) -> x1
168.28/43.42	      b(a(a(x1))) -> a(a(b(b(x1))))
168.28/43.42	      b(x1) -> a(c(c(x1)))
168.28/43.42	     Arctic Interpretation Processor:
168.28/43.42	      dimension: 2
168.28/43.42	      usable rules:
168.28/43.42	       a(x1) -> x1
168.28/43.42	       b(a(a(x1))) -> a(a(b(b(x1))))
168.28/43.42	       b(x1) -> a(c(c(x1)))
168.28/43.42	      interpretation:
168.28/43.42	       [b#](x0) = [0 0]x0,
168.28/43.42	       
168.28/43.42	                 [0  -&]  
168.28/43.42	       [c](x0) = [-& -&]x0,
168.28/43.42	       
168.28/43.42	                 [0 0]  
168.28/43.42	       [b](x0) = [0 0]x0,
168.28/43.42	       
168.28/43.42	                 [0 2]  
168.28/43.42	       [a](x0) = [0 0]x0
168.28/43.42	      orientation:
168.28/43.42	       b#(a(a(x1))) = [2 2]x1 >= [0 0]x1 = b#(b(x1))
168.28/43.42	       
168.28/43.42	       b#(a(a(x1))) = [2 2]x1 >= [0 0]x1 = b#(x1)
168.28/43.42	       
168.28/43.42	               [0 2]             
168.28/43.42	       a(x1) = [0 0]x1 >= x1 = x1
168.28/43.42	       
168.28/43.42	                     [2 2]      [2 2]                   
168.28/43.42	       b(a(a(x1))) = [2 2]x1 >= [2 2]x1 = a(a(b(b(x1))))
168.28/43.42	       
168.28/43.42	               [0 0]      [0  -&]                
168.28/43.42	       b(x1) = [0 0]x1 >= [0  -&]x1 = a(c(c(x1)))
168.28/43.42	      problem:
168.28/43.42	       DPs:
168.28/43.42	        
168.28/43.42	       TRS:
168.28/43.42	        a(x1) -> x1
168.28/43.42	        b(a(a(x1))) -> a(a(b(b(x1))))
168.28/43.42	        b(x1) -> a(c(c(x1)))
168.28/43.42	      Qed
168.28/43.42	EOF