170.62/43.61	YES
170.62/43.62	
170.62/43.62	Problem:
170.62/43.62	 a(x1) -> b(c(b(x1)))
170.62/43.62	 a(b(x1)) -> x1
170.62/43.62	 c(c(b(x1))) -> a(c(c(x1)))
170.62/43.62	
170.62/43.62	Proof:
170.62/43.62	 DP Processor:
170.62/43.62	  DPs:
170.62/43.62	   a#(x1) -> c#(b(x1))
170.62/43.62	   c#(c(b(x1))) -> c#(x1)
170.62/43.62	   c#(c(b(x1))) -> c#(c(x1))
170.62/43.62	   c#(c(b(x1))) -> a#(c(c(x1)))
170.62/43.62	  TRS:
170.62/43.62	   a(x1) -> b(c(b(x1)))
170.62/43.62	   a(b(x1)) -> x1
170.62/43.62	   c(c(b(x1))) -> a(c(c(x1)))
170.62/43.62	  TDG Processor:
170.62/43.62	   DPs:
170.62/43.62	    a#(x1) -> c#(b(x1))
170.62/43.62	    c#(c(b(x1))) -> c#(x1)
170.62/43.62	    c#(c(b(x1))) -> c#(c(x1))
170.62/43.62	    c#(c(b(x1))) -> a#(c(c(x1)))
170.62/43.62	   TRS:
170.62/43.62	    a(x1) -> b(c(b(x1)))
170.62/43.62	    a(b(x1)) -> x1
170.62/43.62	    c(c(b(x1))) -> a(c(c(x1)))
170.62/43.62	   graph:
170.62/43.62	    c#(c(b(x1))) -> c#(c(x1)) -> c#(c(b(x1))) -> a#(c(c(x1)))
170.62/43.62	    c#(c(b(x1))) -> c#(c(x1)) -> c#(c(b(x1))) -> c#(c(x1))
170.62/43.62	    c#(c(b(x1))) -> c#(c(x1)) -> c#(c(b(x1))) -> c#(x1)
170.62/43.62	    c#(c(b(x1))) -> c#(x1) -> c#(c(b(x1))) -> a#(c(c(x1)))
170.62/43.62	    c#(c(b(x1))) -> c#(x1) -> c#(c(b(x1))) -> c#(c(x1))
170.62/43.62	    c#(c(b(x1))) -> c#(x1) -> c#(c(b(x1))) -> c#(x1)
170.62/43.62	    c#(c(b(x1))) -> a#(c(c(x1))) -> a#(x1) -> c#(b(x1))
170.62/43.62	    a#(x1) -> c#(b(x1)) -> c#(c(b(x1))) -> a#(c(c(x1)))
170.62/43.62	    a#(x1) -> c#(b(x1)) -> c#(c(b(x1))) -> c#(c(x1))
170.62/43.62	    a#(x1) -> c#(b(x1)) -> c#(c(b(x1))) -> c#(x1)
170.62/43.62	   EDG Processor:
170.62/43.62	    DPs:
170.62/43.62	     a#(x1) -> c#(b(x1))
170.62/43.62	     c#(c(b(x1))) -> c#(x1)
170.62/43.62	     c#(c(b(x1))) -> c#(c(x1))
170.62/43.62	     c#(c(b(x1))) -> a#(c(c(x1)))
170.62/43.62	    TRS:
170.62/43.62	     a(x1) -> b(c(b(x1)))
170.62/43.62	     a(b(x1)) -> x1
170.62/43.62	     c(c(b(x1))) -> a(c(c(x1)))
170.62/43.62	    graph:
170.62/43.62	     c#(c(b(x1))) -> c#(c(x1)) -> c#(c(b(x1))) -> c#(x1)
170.62/43.62	     c#(c(b(x1))) -> c#(c(x1)) -> c#(c(b(x1))) -> c#(c(x1))
170.62/43.62	     c#(c(b(x1))) -> c#(c(x1)) -> c#(c(b(x1))) -> a#(c(c(x1)))
170.62/43.62	     c#(c(b(x1))) -> c#(x1) -> c#(c(b(x1))) -> c#(x1)
170.62/43.62	     c#(c(b(x1))) -> c#(x1) -> c#(c(b(x1))) -> c#(c(x1))
170.62/43.62	     c#(c(b(x1))) -> c#(x1) -> c#(c(b(x1))) -> a#(c(c(x1)))
170.62/43.62	     c#(c(b(x1))) -> a#(c(c(x1))) -> a#(x1) -> c#(b(x1))
170.62/43.62	    SCC Processor:
170.62/43.62	     #sccs: 1
170.62/43.62	     #rules: 2
170.62/43.62	     #arcs: 7/16
170.62/43.62	     DPs:
170.62/43.62	      c#(c(b(x1))) -> c#(c(x1))
170.62/43.62	      c#(c(b(x1))) -> c#(x1)
170.62/43.62	     TRS:
170.62/43.62	      a(x1) -> b(c(b(x1)))
170.62/43.62	      a(b(x1)) -> x1
170.62/43.62	      c(c(b(x1))) -> a(c(c(x1)))
170.62/43.62	     Arctic Interpretation Processor:
170.62/43.62	      dimension: 2
170.62/43.62	      usable rules:
170.62/43.62	       a(x1) -> b(c(b(x1)))
170.62/43.62	       a(b(x1)) -> x1
170.62/43.62	       c(c(b(x1))) -> a(c(c(x1)))
170.62/43.62	      interpretation:
170.62/43.62	       [c#](x0) = [-& 0 ]x0 + [0],
170.62/43.62	       
170.62/43.62	                 [-& 0 ]     [0]
170.62/43.62	       [c](x0) = [0  -&]x0 + [0],
170.62/43.62	       
170.62/43.62	                 [2  0 ]     [3]
170.62/43.62	       [b](x0) = [0  -&]x0 + [0],
170.62/43.62	       
170.62/43.62	                 [2  0 ]     [3]
170.62/43.62	       [a](x0) = [0  -&]x0 + [0]
170.62/43.62	      orientation:
170.62/43.62	       c#(c(b(x1))) = [2 0]x1 + [3] >= [0  -&]x1 + [0] = c#(c(x1))
170.62/43.62	       
170.62/43.62	       c#(c(b(x1))) = [2 0]x1 + [3] >= [-& 0 ]x1 + [0] = c#(x1)
170.62/43.62	       
170.62/43.62	               [2  0 ]     [3]    [2  0 ]     [3]              
170.62/43.62	       a(x1) = [0  -&]x1 + [0] >= [0  -&]x1 + [0] = b(c(b(x1)))
170.62/43.62	       
170.62/43.62	                  [4 2]     [5]           
170.62/43.62	       a(b(x1)) = [2 0]x1 + [3] >= x1 = x1
170.62/43.62	       
170.62/43.62	                     [2  0 ]     [3]    [2  0 ]     [3]              
170.62/43.62	       c(c(b(x1))) = [0  -&]x1 + [0] >= [0  -&]x1 + [0] = a(c(c(x1)))
170.62/43.62	      problem:
170.62/43.62	       DPs:
170.62/43.62	        c#(c(b(x1))) -> c#(x1)
170.62/43.62	       TRS:
170.62/43.62	        a(x1) -> b(c(b(x1)))
170.62/43.62	        a(b(x1)) -> x1
170.62/43.62	        c(c(b(x1))) -> a(c(c(x1)))
170.62/43.62	      Restore Modifier:
170.62/43.62	       DPs:
170.62/43.62	        c#(c(b(x1))) -> c#(x1)
170.62/43.62	       TRS:
170.62/43.62	        a(x1) -> b(c(b(x1)))
170.62/43.62	        a(b(x1)) -> x1
170.62/43.62	        c(c(b(x1))) -> a(c(c(x1)))
170.62/43.62	       EDG Processor:
170.62/43.62	        DPs:
170.62/43.62	         c#(c(b(x1))) -> c#(x1)
170.62/43.62	        TRS:
170.62/43.62	         a(x1) -> b(c(b(x1)))
170.62/43.62	         a(b(x1)) -> x1
170.62/43.62	         c(c(b(x1))) -> a(c(c(x1)))
170.62/43.62	        graph:
170.62/43.62	         c#(c(b(x1))) -> c#(x1) -> c#(c(b(x1))) -> c#(x1)
170.62/43.62	        Usable Rule Processor:
170.62/43.62	         DPs:
170.62/43.62	          c#(c(b(x1))) -> c#(x1)
170.62/43.62	         TRS:
170.62/43.62	          
170.62/43.62	         Arctic Interpretation Processor:
170.62/43.62	          dimension: 1
170.62/43.62	          usable rules:
170.62/43.62	           
170.62/43.62	          interpretation:
170.62/43.62	           [c#](x0) = 6x0,
170.62/43.62	           
170.62/43.62	           [c](x0) = 1x0 + 12,
170.62/43.62	           
170.62/43.62	           [b](x0) = x0 + 9
170.62/43.62	          orientation:
170.62/43.62	           c#(c(b(x1))) = 7x1 + 18 >= 6x1 = c#(x1)
170.62/43.62	          problem:
170.62/43.62	           DPs:
170.62/43.62	            
170.62/43.62	           TRS:
170.62/43.62	            
170.62/43.62	          Qed
170.62/43.62	EOF