256.83/45.44	YES
256.83/45.45	
256.83/45.45	Problem:
256.83/45.45	 a(x1) -> b(x1)
256.83/45.45	 b(b(x1)) -> x1
256.83/45.45	 b(c(c(x1))) -> c(c(b(c(a(x1)))))
256.83/45.45	
256.83/45.45	Proof:
256.83/45.45	 String Reversal Processor:
256.83/45.45	  a(x1) -> b(x1)
256.83/45.45	  b(b(x1)) -> x1
256.83/45.45	  c(c(b(x1))) -> a(c(b(c(c(x1)))))
256.83/45.45	  DP Processor:
256.83/45.45	   DPs:
256.83/45.45	    a#(x1) -> b#(x1)
256.83/45.45	    c#(c(b(x1))) -> c#(x1)
256.83/45.45	    c#(c(b(x1))) -> c#(c(x1))
256.83/45.45	    c#(c(b(x1))) -> b#(c(c(x1)))
256.83/45.45	    c#(c(b(x1))) -> c#(b(c(c(x1))))
256.83/45.45	    c#(c(b(x1))) -> a#(c(b(c(c(x1)))))
256.83/45.45	   TRS:
256.83/45.45	    a(x1) -> b(x1)
256.83/45.45	    b(b(x1)) -> x1
256.83/45.45	    c(c(b(x1))) -> a(c(b(c(c(x1)))))
256.83/45.45	   TDG Processor:
256.83/45.45	    DPs:
256.83/45.45	     a#(x1) -> b#(x1)
256.83/45.45	     c#(c(b(x1))) -> c#(x1)
256.83/45.45	     c#(c(b(x1))) -> c#(c(x1))
256.83/45.45	     c#(c(b(x1))) -> b#(c(c(x1)))
256.83/45.45	     c#(c(b(x1))) -> c#(b(c(c(x1))))
256.83/45.45	     c#(c(b(x1))) -> a#(c(b(c(c(x1)))))
256.83/45.45	    TRS:
256.83/45.45	     a(x1) -> b(x1)
256.83/45.45	     b(b(x1)) -> x1
256.83/45.45	     c(c(b(x1))) -> a(c(b(c(c(x1)))))
256.83/45.45	    graph:
256.83/45.45	     c#(c(b(x1))) -> c#(c(x1)) -> c#(c(b(x1))) -> a#(c(b(c(c(x1)))))
256.83/45.45	     c#(c(b(x1))) -> c#(c(x1)) -> c#(c(b(x1))) -> c#(b(c(c(x1))))
256.83/45.45	     c#(c(b(x1))) -> c#(c(x1)) -> c#(c(b(x1))) -> b#(c(c(x1)))
256.83/45.45	     c#(c(b(x1))) -> c#(c(x1)) -> c#(c(b(x1))) -> c#(c(x1))
257.13/45.45	     c#(c(b(x1))) -> c#(c(x1)) -> c#(c(b(x1))) -> c#(x1)
257.13/45.45	     c#(c(b(x1))) -> c#(b(c(c(x1)))) ->
257.13/45.45	     c#(c(b(x1))) -> a#(c(b(c(c(x1)))))
257.13/45.45	     c#(c(b(x1))) -> c#(b(c(c(x1)))) ->
257.13/45.45	     c#(c(b(x1))) -> c#(b(c(c(x1))))
257.13/45.45	     c#(c(b(x1))) -> c#(b(c(c(x1)))) -> c#(c(b(x1))) -> b#(c(c(x1)))
257.13/45.45	     c#(c(b(x1))) -> c#(b(c(c(x1)))) -> c#(c(b(x1))) -> c#(c(x1))
257.13/45.45	     c#(c(b(x1))) -> c#(b(c(c(x1)))) -> c#(c(b(x1))) -> c#(x1)
257.13/45.45	     c#(c(b(x1))) -> c#(x1) -> c#(c(b(x1))) -> a#(c(b(c(c(x1)))))
257.13/45.45	     c#(c(b(x1))) -> c#(x1) -> c#(c(b(x1))) -> c#(b(c(c(x1))))
257.13/45.45	     c#(c(b(x1))) -> c#(x1) -> c#(c(b(x1))) -> b#(c(c(x1)))
257.13/45.45	     c#(c(b(x1))) -> c#(x1) -> c#(c(b(x1))) -> c#(c(x1))
257.13/45.45	     c#(c(b(x1))) -> c#(x1) -> c#(c(b(x1))) -> c#(x1)
257.13/45.45	     c#(c(b(x1))) -> a#(c(b(c(c(x1))))) -> a#(x1) -> b#(x1)
257.13/45.45	    SCC Processor:
257.13/45.45	     #sccs: 1
257.13/45.45	     #rules: 3
257.13/45.45	     #arcs: 16/36
257.13/45.45	     DPs:
257.13/45.45	      c#(c(b(x1))) -> c#(c(x1))
257.13/45.45	      c#(c(b(x1))) -> c#(x1)
257.13/45.45	      c#(c(b(x1))) -> c#(b(c(c(x1))))
257.13/45.45	     TRS:
257.13/45.45	      a(x1) -> b(x1)
257.13/45.45	      b(b(x1)) -> x1
257.13/45.45	      c(c(b(x1))) -> a(c(b(c(c(x1)))))
257.13/45.45	     Arctic Interpretation Processor:
257.13/45.45	      dimension: 2
257.13/45.45	      usable rules:
257.13/45.45	       a(x1) -> b(x1)
257.13/45.45	       b(b(x1)) -> x1
257.13/45.45	       c(c(b(x1))) -> a(c(b(c(c(x1)))))
257.13/45.45	      interpretation:
257.13/45.45	       [c#](x0) = [1 0]x0 + [0],
257.13/45.45	       
257.13/45.45	                 [-& 0 ]     [0]
257.13/45.45	       [c](x0) = [0  -&]x0 + [0],
257.13/45.45	       
257.13/45.45	                 [-& 0 ]     [0]
257.13/45.45	       [b](x0) = [0  2 ]x0 + [3],
257.13/45.45	       
257.13/45.45	                 [-& 0 ]     [0]
257.13/45.45	       [a](x0) = [0  2 ]x0 + [3]
257.13/45.45	      orientation:
257.13/45.45	       c#(c(b(x1))) = [1 3]x1 + [4] >= [0 1]x1 + [1] = c#(c(x1))
257.13/45.45	       
257.13/45.45	       c#(c(b(x1))) = [1 3]x1 + [4] >= [1 0]x1 + [0] = c#(x1)
257.13/45.45	       
257.13/45.45	       c#(c(b(x1))) = [1 3]x1 + [4] >= [0 2]x1 + [3] = c#(b(c(c(x1))))
257.13/45.45	       
257.13/45.45	               [-& 0 ]     [0]    [-& 0 ]     [0]        
257.13/45.45	       a(x1) = [0  2 ]x1 + [3] >= [0  2 ]x1 + [3] = b(x1)
257.13/45.45	       
257.13/45.45	                  [0 2]     [3]           
257.13/45.45	       b(b(x1)) = [2 4]x1 + [5] >= x1 = x1
257.13/45.45	       
257.13/45.45	                     [-& 0 ]     [0]    [-& 0 ]     [0]                    
257.13/45.45	       c(c(b(x1))) = [0  2 ]x1 + [3] >= [0  2 ]x1 + [3] = a(c(b(c(c(x1)))))
257.13/45.45	      problem:
257.13/45.45	       DPs:
257.13/45.45	        c#(c(b(x1))) -> c#(x1)
257.13/45.45	       TRS:
257.13/45.45	        a(x1) -> b(x1)
257.13/45.45	        b(b(x1)) -> x1
257.13/45.45	        c(c(b(x1))) -> a(c(b(c(c(x1)))))
257.13/45.45	      Restore Modifier:
257.13/45.45	       DPs:
257.13/45.45	        c#(c(b(x1))) -> c#(x1)
257.13/45.45	       TRS:
257.13/45.45	        a(x1) -> b(x1)
257.13/45.45	        b(b(x1)) -> x1
257.13/45.45	        c(c(b(x1))) -> a(c(b(c(c(x1)))))
257.13/45.45	       EDG Processor:
257.13/45.45	        DPs:
257.13/45.45	         c#(c(b(x1))) -> c#(x1)
257.13/45.45	        TRS:
257.13/45.45	         a(x1) -> b(x1)
257.13/45.45	         b(b(x1)) -> x1
257.13/45.45	         c(c(b(x1))) -> a(c(b(c(c(x1)))))
257.13/45.45	        graph:
257.13/45.45	         c#(c(b(x1))) -> c#(x1) -> c#(c(b(x1))) -> c#(x1)
257.13/45.45	        Usable Rule Processor:
257.13/45.45	         DPs:
257.13/45.45	          c#(c(b(x1))) -> c#(x1)
257.13/45.45	         TRS:
257.13/45.45	          
257.13/45.45	         Arctic Interpretation Processor:
257.13/45.45	          dimension: 1
257.13/45.45	          usable rules:
257.13/45.45	           
257.13/45.45	          interpretation:
257.13/45.45	           [c#](x0) = 6x0,
257.13/45.45	           
257.13/45.45	           [c](x0) = 1x0 + 12,
257.13/45.45	           
257.13/45.45	           [b](x0) = x0 + 9
257.13/45.45	          orientation:
257.13/45.45	           c#(c(b(x1))) = 7x1 + 18 >= 6x1 = c#(x1)
257.13/45.45	          problem:
257.13/45.45	           DPs:
257.13/45.45	            
257.13/45.45	           TRS:
257.13/45.45	            
257.13/45.45	          Qed
257.13/45.45	EOF