14.25/3.92	YES
14.25/3.92	
14.25/3.92	Problem:
14.25/3.92	 strict:
14.25/3.92	  a(a(b(b(x1)))) -> x1
14.25/3.92	 weak:
14.25/3.92	  b(a(x1)) -> a(b(a(b(x1))))
14.25/3.92	
14.25/3.92	Proof:
14.25/3.92	 Matrix Interpretation Processor: dim=5
14.25/3.92	  
14.25/3.92	  interpretation:
14.25/3.92	             [1 0 1 0 0]  
14.25/3.92	             [0 0 1 0 1]  
14.25/3.92	   [a](x0) = [0 0 1 0 1]x0
14.25/3.92	             [0 0 1 0 0]  
14.25/3.92	             [0 1 0 0 0]  ,
14.25/3.92	   
14.25/3.92	             [1 0 0 0 0]     [0]
14.25/3.92	             [0 0 0 0 0]     [0]
14.25/3.92	   [b](x0) = [0 0 0 0 0]x0 + [0]
14.25/3.92	             [0 1 1 1 0]     [1]
14.25/3.92	             [0 0 0 1 1]     [0]
14.25/3.92	  orientation:
14.25/3.92	                    [1 1 1 2 1]     [1]           
14.25/3.92	                    [0 1 1 2 1]     [1]           
14.25/3.92	   a(a(b(b(x1)))) = [0 1 1 2 1]x1 + [1] >= x1 = x1
14.25/3.92	                    [0 1 1 2 1]     [1]           
14.25/3.92	                    [0 1 1 2 1]     [1]           
14.25/3.92	   
14.25/3.92	              [1 0 1 0 0]     [0]    [1 0 0 0 0]                   
14.25/3.92	              [0 0 0 0 0]     [0]    [0 0 0 0 0]                   
14.25/3.92	   b(a(x1)) = [0 0 0 0 0]x1 + [0] >= [0 0 0 0 0]x1 = a(b(a(b(x1))))
14.25/3.92	              [0 0 3 0 2]     [1]    [0 0 0 0 0]                   
14.25/3.92	              [0 1 1 0 0]     [0]    [0 0 0 0 0]                   
14.25/3.92	  problem:
14.25/3.92	   strict:
14.25/3.92	    
14.25/3.92	   weak:
14.25/3.92	    b(a(x1)) -> a(b(a(b(x1))))
14.25/3.92	  Qed
14.25/3.93	EOF