170.16/43.44	YES
170.17/43.45	
170.17/43.45	Problem:
170.17/43.45	 a(a(x1)) -> b(b(c(x1)))
170.17/43.45	 b(a(x1)) -> c(x1)
170.17/43.45	 c(b(x1)) -> a(a(x1))
170.17/43.45	
170.17/43.45	Proof:
170.17/43.45	 String Reversal Processor:
170.17/43.45	  a(a(x1)) -> c(b(b(x1)))
170.17/43.45	  a(b(x1)) -> c(x1)
170.17/43.45	  b(c(x1)) -> a(a(x1))
170.17/43.45	  DP Processor:
170.17/43.45	   DPs:
170.17/43.45	    a#(a(x1)) -> b#(x1)
170.17/43.45	    a#(a(x1)) -> b#(b(x1))
170.17/43.45	    b#(c(x1)) -> a#(x1)
170.17/43.45	    b#(c(x1)) -> a#(a(x1))
170.17/43.45	   TRS:
170.17/43.45	    a(a(x1)) -> c(b(b(x1)))
170.17/43.45	    a(b(x1)) -> c(x1)
170.17/43.45	    b(c(x1)) -> a(a(x1))
170.17/43.45	   TDG Processor:
170.17/43.45	    DPs:
170.17/43.45	     a#(a(x1)) -> b#(x1)
170.17/43.45	     a#(a(x1)) -> b#(b(x1))
170.17/43.45	     b#(c(x1)) -> a#(x1)
170.17/43.45	     b#(c(x1)) -> a#(a(x1))
170.17/43.45	    TRS:
170.17/43.45	     a(a(x1)) -> c(b(b(x1)))
170.17/43.45	     a(b(x1)) -> c(x1)
170.17/43.45	     b(c(x1)) -> a(a(x1))
170.17/43.45	    graph:
170.17/43.45	     b#(c(x1)) -> a#(a(x1)) -> a#(a(x1)) -> b#(b(x1))
170.17/43.45	     b#(c(x1)) -> a#(a(x1)) -> a#(a(x1)) -> b#(x1)
170.17/43.45	     b#(c(x1)) -> a#(x1) -> a#(a(x1)) -> b#(b(x1))
170.17/43.45	     b#(c(x1)) -> a#(x1) -> a#(a(x1)) -> b#(x1)
170.17/43.45	     a#(a(x1)) -> b#(b(x1)) -> b#(c(x1)) -> a#(a(x1))
170.17/43.45	     a#(a(x1)) -> b#(b(x1)) -> b#(c(x1)) -> a#(x1)
170.17/43.45	     a#(a(x1)) -> b#(x1) -> b#(c(x1)) -> a#(a(x1))
170.17/43.45	     a#(a(x1)) -> b#(x1) -> b#(c(x1)) -> a#(x1)
170.17/43.45	    Arctic Interpretation Processor:
170.17/43.45	     dimension: 2
170.17/43.45	     usable rules:
170.17/43.45	      a(a(x1)) -> c(b(b(x1)))
170.17/43.45	      a(b(x1)) -> c(x1)
170.17/43.45	      b(c(x1)) -> a(a(x1))
170.17/43.45	     interpretation:
170.17/43.45	      [b#](x0) = [0 0]x0,
170.17/43.45	      
170.17/43.45	      [a#](x0) = [0  -&]x0,
170.17/43.45	      
170.17/43.45	                [0  0 ]  
170.17/43.45	      [b](x0) = [-& 0 ]x0,
170.17/43.45	      
170.17/43.45	                [0 0]  
170.17/43.45	      [c](x0) = [1 1]x0,
170.17/43.45	      
170.17/43.45	                [0 0]  
170.17/43.45	      [a](x0) = [1 0]x0
170.17/43.45	     orientation:
170.17/43.45	      a#(a(x1)) = [0 0]x1 >= [0 0]x1 = b#(x1)
170.17/43.45	      
170.17/43.45	      a#(a(x1)) = [0 0]x1 >= [0 0]x1 = b#(b(x1))
170.17/43.45	      
170.17/43.45	      b#(c(x1)) = [1 1]x1 >= [0  -&]x1 = a#(x1)
170.17/43.45	      
170.17/43.45	      b#(c(x1)) = [1 1]x1 >= [0 0]x1 = a#(a(x1))
170.17/43.45	      
170.17/43.45	                 [1 0]      [0 0]                
170.17/43.45	      a(a(x1)) = [1 1]x1 >= [1 1]x1 = c(b(b(x1)))
170.17/43.45	      
170.17/43.45	                 [0 0]      [0 0]          
170.17/43.45	      a(b(x1)) = [1 1]x1 >= [1 1]x1 = c(x1)
170.17/43.45	      
170.17/43.45	                 [1 1]      [1 0]             
170.17/43.45	      b(c(x1)) = [1 1]x1 >= [1 1]x1 = a(a(x1))
170.17/43.45	     problem:
170.17/43.45	      DPs:
170.17/43.45	       a#(a(x1)) -> b#(x1)
170.17/43.45	       a#(a(x1)) -> b#(b(x1))
170.17/43.45	      TRS:
170.17/43.45	       a(a(x1)) -> c(b(b(x1)))
170.17/43.45	       a(b(x1)) -> c(x1)
170.17/43.45	       b(c(x1)) -> a(a(x1))
170.17/43.45	     Restore Modifier:
170.17/43.45	      DPs:
170.17/43.45	       a#(a(x1)) -> b#(x1)
170.17/43.45	       a#(a(x1)) -> b#(b(x1))
170.17/43.45	      TRS:
170.17/43.45	       a(a(x1)) -> c(b(b(x1)))
170.17/43.45	       a(b(x1)) -> c(x1)
170.17/43.45	       b(c(x1)) -> a(a(x1))
170.17/43.45	      EDG Processor:
170.17/43.45	       DPs:
170.17/43.45	        a#(a(x1)) -> b#(x1)
170.17/43.45	        a#(a(x1)) -> b#(b(x1))
170.17/43.45	       TRS:
170.17/43.45	        a(a(x1)) -> c(b(b(x1)))
170.17/43.45	        a(b(x1)) -> c(x1)
170.17/43.45	        b(c(x1)) -> a(a(x1))
170.17/43.45	       graph:
170.17/43.45	        
170.17/43.45	       SCC Processor:
170.17/43.45	        #sccs: 0
170.17/43.45	        #rules: 0
170.17/43.45	        #arcs: 0/4
170.17/43.45	        
170.17/43.45	EOF