168.24/42.99	YES
168.24/43.00	
168.24/43.00	Problem:
168.24/43.00	 a(x1) -> x1
168.24/43.00	 a(b(x1)) -> c(b(c(b(c(a(x1))))))
168.24/43.00	 c(c(x1)) -> a(x1)
168.24/43.00	
168.24/43.00	Proof:
168.24/43.00	 String Reversal Processor:
168.24/43.00	  a(x1) -> x1
168.24/43.00	  b(a(x1)) -> a(c(b(c(b(c(x1))))))
168.24/43.00	  c(c(x1)) -> a(x1)
168.24/43.00	  DP Processor:
168.24/43.00	   DPs:
168.24/43.00	    b#(a(x1)) -> c#(x1)
168.24/43.00	    b#(a(x1)) -> b#(c(x1))
168.24/43.00	    b#(a(x1)) -> c#(b(c(x1)))
168.24/43.00	    b#(a(x1)) -> b#(c(b(c(x1))))
168.24/43.00	    b#(a(x1)) -> c#(b(c(b(c(x1)))))
168.24/43.00	    b#(a(x1)) -> a#(c(b(c(b(c(x1))))))
168.24/43.00	    c#(c(x1)) -> a#(x1)
168.24/43.00	   TRS:
168.24/43.00	    a(x1) -> x1
168.24/43.00	    b(a(x1)) -> a(c(b(c(b(c(x1))))))
168.24/43.00	    c(c(x1)) -> a(x1)
168.24/43.00	   TDG Processor:
168.24/43.00	    DPs:
168.24/43.00	     b#(a(x1)) -> c#(x1)
168.24/43.00	     b#(a(x1)) -> b#(c(x1))
168.24/43.00	     b#(a(x1)) -> c#(b(c(x1)))
168.24/43.00	     b#(a(x1)) -> b#(c(b(c(x1))))
168.24/43.00	     b#(a(x1)) -> c#(b(c(b(c(x1)))))
168.24/43.00	     b#(a(x1)) -> a#(c(b(c(b(c(x1))))))
168.24/43.00	     c#(c(x1)) -> a#(x1)
168.24/43.00	    TRS:
168.24/43.00	     a(x1) -> x1
168.24/43.00	     b(a(x1)) -> a(c(b(c(b(c(x1))))))
168.24/43.00	     c(c(x1)) -> a(x1)
168.24/43.00	    graph:
168.24/43.00	     b#(a(x1)) -> c#(b(c(b(c(x1))))) -> c#(c(x1)) -> a#(x1)
168.24/43.00	     b#(a(x1)) -> c#(b(c(x1))) -> c#(c(x1)) -> a#(x1)
168.24/43.00	     b#(a(x1)) -> c#(x1) -> c#(c(x1)) -> a#(x1)
168.24/43.00	     b#(a(x1)) -> b#(c(b(c(x1)))) -> b#(a(x1)) -> a#(c(b(c(b(c(x1))))))
168.24/43.00	     b#(a(x1)) -> b#(c(b(c(x1)))) -> b#(a(x1)) -> c#(b(c(b(c(x1)))))
168.24/43.00	     b#(a(x1)) -> b#(c(b(c(x1)))) -> b#(a(x1)) -> b#(c(b(c(x1))))
168.24/43.00	     b#(a(x1)) -> b#(c(b(c(x1)))) -> b#(a(x1)) -> c#(b(c(x1)))
168.24/43.00	     b#(a(x1)) -> b#(c(b(c(x1)))) -> b#(a(x1)) -> b#(c(x1))
168.24/43.00	     b#(a(x1)) -> b#(c(b(c(x1)))) -> b#(a(x1)) -> c#(x1)
168.24/43.00	     b#(a(x1)) -> b#(c(x1)) -> b#(a(x1)) -> a#(c(b(c(b(c(x1))))))
168.24/43.00	     b#(a(x1)) -> b#(c(x1)) -> b#(a(x1)) -> c#(b(c(b(c(x1)))))
168.24/43.00	     b#(a(x1)) -> b#(c(x1)) -> b#(a(x1)) -> b#(c(b(c(x1))))
168.24/43.00	     b#(a(x1)) -> b#(c(x1)) -> b#(a(x1)) -> c#(b(c(x1)))
168.24/43.00	     b#(a(x1)) -> b#(c(x1)) -> b#(a(x1)) -> b#(c(x1))
168.24/43.00	     b#(a(x1)) -> b#(c(x1)) -> b#(a(x1)) -> c#(x1)
168.24/43.00	    SCC Processor:
168.24/43.00	     #sccs: 1
168.24/43.00	     #rules: 2
168.24/43.00	     #arcs: 15/49
168.24/43.00	     DPs:
168.24/43.00	      b#(a(x1)) -> b#(c(b(c(x1))))
168.24/43.00	      b#(a(x1)) -> b#(c(x1))
168.24/43.00	     TRS:
168.24/43.00	      a(x1) -> x1
168.24/43.00	      b(a(x1)) -> a(c(b(c(b(c(x1))))))
168.24/43.00	      c(c(x1)) -> a(x1)
168.24/43.00	     Arctic Interpretation Processor:
168.24/43.00	      dimension: 2
168.24/43.00	      usable rules:
168.24/43.00	       a(x1) -> x1
168.24/43.00	       b(a(x1)) -> a(c(b(c(b(c(x1))))))
168.24/43.00	       c(c(x1)) -> a(x1)
168.24/43.00	      interpretation:
168.24/43.00	       [b#](x0) = [-& 0 ]x0 + [0],
168.24/43.00	       
168.24/43.00	                 [1  0 ]     [3]
168.24/43.00	       [c](x0) = [0  -&]x0 + [0],
168.24/43.00	       
168.24/43.00	                 [-& 0 ]     [0]
168.24/43.00	       [b](x0) = [-& 1 ]x0 + [2],
168.24/43.00	       
168.24/43.00	                 [0 1]     [-&]
168.24/43.00	       [a](x0) = [1 0]x0 + [3 ]
168.24/43.00	      orientation:
168.24/43.00	       b#(a(x1)) = [1 0]x1 + [3] >= [0  -&]x1 + [0] = b#(c(b(c(x1))))
168.24/43.00	       
168.24/43.00	       b#(a(x1)) = [1 0]x1 + [3] >= [0  -&]x1 + [0] = b#(c(x1))
168.24/43.00	       
168.24/43.00	               [0 1]     [-&]           
168.24/43.00	       a(x1) = [1 0]x1 + [3 ] >= x1 = x1
168.24/43.00	       
168.24/43.00	                  [1 0]     [3]    [1  -&]     [3]                       
168.24/43.00	       b(a(x1)) = [2 1]x1 + [4] >= [2  -&]x1 + [4] = a(c(b(c(b(c(x1))))))
168.24/43.00	       
168.24/43.00	                  [2 1]     [4]    [0 1]     [-&]        
168.24/43.00	       c(c(x1)) = [1 0]x1 + [3] >= [1 0]x1 + [3 ] = a(x1)
168.24/43.00	      problem:
168.24/43.00	       DPs:
168.24/43.00	        
168.24/43.00	       TRS:
168.24/43.00	        a(x1) -> x1
168.24/43.00	        b(a(x1)) -> a(c(b(c(b(c(x1))))))
168.24/43.00	        c(c(x1)) -> a(x1)
168.24/43.00	      Qed
168.24/43.01	EOF