168.17/42.86	YES
168.17/42.87	
168.17/42.87	Problem:
168.17/42.87	 a(a(b(x1))) -> c(b(a(a(a(x1)))))
168.17/42.87	 a(c(x1)) -> b(a(x1))
168.17/42.87	
168.17/42.87	Proof:
168.17/42.87	 String Reversal Processor:
168.17/42.87	  b(a(a(x1))) -> a(a(a(b(c(x1)))))
168.17/42.87	  c(a(x1)) -> a(b(x1))
168.17/42.87	  DP Processor:
168.17/42.87	   DPs:
168.17/42.87	    b#(a(a(x1))) -> c#(x1)
168.17/42.87	    b#(a(a(x1))) -> b#(c(x1))
168.17/42.87	    c#(a(x1)) -> b#(x1)
168.17/42.87	   TRS:
168.17/42.87	    b(a(a(x1))) -> a(a(a(b(c(x1)))))
168.17/42.87	    c(a(x1)) -> a(b(x1))
168.17/42.87	   TDG Processor:
168.17/42.87	    DPs:
168.17/42.87	     b#(a(a(x1))) -> c#(x1)
168.17/42.87	     b#(a(a(x1))) -> b#(c(x1))
168.17/42.87	     c#(a(x1)) -> b#(x1)
168.17/42.87	    TRS:
168.17/42.87	     b(a(a(x1))) -> a(a(a(b(c(x1)))))
168.17/42.87	     c(a(x1)) -> a(b(x1))
168.17/42.87	    graph:
168.17/42.87	     c#(a(x1)) -> b#(x1) -> b#(a(a(x1))) -> b#(c(x1))
168.17/42.87	     c#(a(x1)) -> b#(x1) -> b#(a(a(x1))) -> c#(x1)
168.17/42.87	     b#(a(a(x1))) -> c#(x1) -> c#(a(x1)) -> b#(x1)
168.17/42.87	     b#(a(a(x1))) -> b#(c(x1)) -> b#(a(a(x1))) -> b#(c(x1))
168.17/42.87	     b#(a(a(x1))) -> b#(c(x1)) -> b#(a(a(x1))) -> c#(x1)
168.17/42.87	    Matrix Interpretation Processor: dim=4
168.17/42.87	     
168.17/42.87	     interpretation:
168.17/42.87	      [c#](x0) = [0 0 0 1]x0 + [1],
168.17/42.87	      
168.17/42.87	      [b#](x0) = [0 1 0 0]x0,
168.17/42.87	      
168.17/42.87	                [0 0 0 0]     [0]
168.17/42.87	                [0 0 0 1]     [0]
168.17/42.87	      [c](x0) = [0 0 0 1]x0 + [1]
168.17/42.87	                [0 0 0 1]     [0],
168.17/42.87	      
168.17/42.87	                [0 0 0 0]     [0]
168.17/42.87	                [0 0 1 0]     [0]
168.17/42.87	      [a](x0) = [0 0 0 1]x0 + [1]
168.17/42.87	                [0 1 0 0]     [0],
168.17/42.87	      
168.17/42.87	                [0 0 1 0]  
168.17/42.87	                [0 1 0 0]  
168.17/42.87	      [b](x0) = [0 1 0 0]x0
168.17/42.87	                [0 1 0 0]  
168.17/42.87	     orientation:
168.17/42.87	      b#(a(a(x1))) = [0 0 0 1]x1 + [1] >= [0 0 0 1]x1 + [1] = c#(x1)
168.17/42.87	      
168.17/42.87	      b#(a(a(x1))) = [0 0 0 1]x1 + [1] >= [0 0 0 1]x1 = b#(c(x1))
168.17/42.87	      
168.17/42.87	      c#(a(x1)) = [0 1 0 0]x1 + [1] >= [0 1 0 0]x1 = b#(x1)
168.17/42.87	      
168.17/42.87	                    [0 1 0 0]     [1]    [0 0 0 0]     [0]                    
168.17/42.87	                    [0 0 0 1]     [1]    [0 0 0 1]     [1]                    
168.17/42.87	      b(a(a(x1))) = [0 0 0 1]x1 + [1] >= [0 0 0 1]x1 + [1] = a(a(a(b(c(x1)))))
168.17/42.87	                    [0 0 0 1]     [1]    [0 0 0 1]     [1]                    
168.17/42.87	      
168.17/42.87	                 [0 0 0 0]     [0]    [0 0 0 0]     [0]           
168.17/42.87	                 [0 1 0 0]     [0]    [0 1 0 0]     [0]           
168.17/42.87	      c(a(x1)) = [0 1 0 0]x1 + [1] >= [0 1 0 0]x1 + [1] = a(b(x1))
168.17/42.87	                 [0 1 0 0]     [0]    [0 1 0 0]     [0]           
168.17/42.87	     problem:
168.17/42.87	      DPs:
168.17/42.87	       b#(a(a(x1))) -> c#(x1)
168.17/42.87	      TRS:
168.17/42.87	       b(a(a(x1))) -> a(a(a(b(c(x1)))))
168.17/42.87	       c(a(x1)) -> a(b(x1))
168.17/42.87	     Restore Modifier:
168.17/42.87	      DPs:
168.17/42.87	       b#(a(a(x1))) -> c#(x1)
168.17/42.87	      TRS:
168.17/42.87	       b(a(a(x1))) -> a(a(a(b(c(x1)))))
168.17/42.87	       c(a(x1)) -> a(b(x1))
168.17/42.87	      EDG Processor:
168.17/42.87	       DPs:
168.17/42.87	        b#(a(a(x1))) -> c#(x1)
168.17/42.87	       TRS:
168.17/42.87	        b(a(a(x1))) -> a(a(a(b(c(x1)))))
168.17/42.87	        c(a(x1)) -> a(b(x1))
168.17/42.87	       graph:
168.17/42.87	        
168.17/42.87	       SCC Processor:
168.17/42.87	        #sccs: 0
168.17/42.87	        #rules: 0
168.17/42.87	        #arcs: 0/1
168.17/42.87	        
168.17/42.88	EOF