19.51/5.31	YES
19.51/5.32	
19.51/5.32	Problem:
19.51/5.32	 strict:
19.51/5.32	  c(a(c(x1))) -> x1
19.51/5.32	  a(c(a(x1))) -> a(a(a(a(x1))))
19.51/5.32	 weak:
19.51/5.32	  x1 -> c(c(c(c(x1))))
19.51/5.32	
19.51/5.32	Proof:
19.51/5.32	 Arctic Interpretation Processor:
19.51/5.32	  dimension: 3
19.51/5.32	  interpretation:
19.51/5.32	             [0  2  0 ]  
19.51/5.32	   [a](x0) = [-& 0  -&]x0
19.51/5.32	             [1  3  0 ]  ,
19.51/5.32	   
19.51/5.32	             [0  -& -&]  
19.51/5.32	   [c](x0) = [-& -& 0 ]x0
19.51/5.32	             [-& 0  -&]  
19.51/5.32	  orientation:
19.51/5.32	                 [0  0  2 ]             
19.51/5.32	   c(a(c(x1))) = [1  0  3 ]x1 >= x1 = x1
19.51/5.32	                 [-& -& 0 ]             
19.51/5.32	   
19.51/5.32	                 [3 5 2]      [2  4  1 ]                   
19.51/5.32	   a(c(a(x1))) = [1 3 0]x1 >= [-& 0  -&]x1 = a(a(a(a(x1))))
19.51/5.32	                 [4 6 3]      [2  4  2 ]                   
19.51/5.32	   
19.51/5.32	                                 
19.51/5.32	   x1 = x1 >= x1 = c(c(c(c(x1))))
19.51/5.32	                                 
19.51/5.32	  problem:
19.51/5.32	   strict:
19.51/5.32	    c(a(c(x1))) -> x1
19.51/5.32	   weak:
19.51/5.32	    x1 -> c(c(c(c(x1))))
19.51/5.32	  Arctic Interpretation Processor:
19.51/5.32	   dimension: 2
19.51/5.32	   interpretation:
19.51/5.32	              [1 7]  
19.51/5.32	    [a](x0) = [2 7]x0,
19.51/5.32	    
19.51/5.32	                
19.51/5.32	    [c](x0) = x0
19.51/5.32	   orientation:
19.51/5.32	                  [1 7]             
19.51/5.32	    c(a(c(x1))) = [2 7]x1 >= x1 = x1
19.51/5.32	    
19.51/5.32	                                  
19.51/5.32	    x1 = x1 >= x1 = c(c(c(c(x1))))
19.51/5.32	   problem:
19.51/5.32	    strict:
19.51/5.32	     
19.51/5.32	    weak:
19.51/5.32	     x1 -> c(c(c(c(x1))))
19.51/5.32	   Qed
19.51/5.32	EOF