2.48/0.91	YES
2.48/0.91	
2.48/0.91	Problem:
2.48/0.91	 strict:
2.48/0.91	  a() -> b()
2.48/0.91	 weak:
2.48/0.91	  f(s(x)) -> c(x,f(x))
2.48/0.91	  c(x,c(y(),z())) -> c(y(),c(x,z()))
2.48/0.91	
2.48/0.91	Proof:
2.48/0.91	 Matrix Interpretation Processor: dim=5
2.48/0.91	  
2.48/0.91	  interpretation:
2.48/0.91	         [0]
2.48/0.91	         [0]
2.48/0.91	   [z] = [0]
2.48/0.91	         [0]
2.48/0.91	         [0],
2.48/0.91	   
2.48/0.91	         [1]
2.48/0.91	         [1]
2.48/0.91	   [y] = [0]
2.48/0.91	         [1]
2.48/0.91	         [0],
2.48/0.91	   
2.48/0.91	                 [1 1 0 0 0]     [1 0 0 0 0]     [0]
2.48/0.91	                 [0 1 0 1 0]     [0 1 0 0 0]     [0]
2.48/0.91	   [c](x0, x1) = [1 0 0 0 0]x0 + [0 0 1 0 0]x1 + [1]
2.48/0.91	                 [0 0 1 0 0]     [0 0 0 0 0]     [0]
2.48/0.91	                 [1 1 1 0 0]     [1 0 0 0 0]     [0],
2.48/0.91	   
2.48/0.91	             [1 1 1 0 1]     [1]
2.48/0.91	             [0 0 1 0 1]     [0]
2.48/0.91	   [f](x0) = [0 0 0 0 1]x0 + [1]
2.48/0.91	             [1 0 0 1 0]     [0]
2.48/0.91	             [0 1 1 1 1]     [0],
2.48/0.91	   
2.48/0.91	             [1 1 0 0 0]     [0]
2.48/0.91	             [1 1 0 0 1]     [0]
2.48/0.91	   [s](x0) = [0 0 1 0 1]x0 + [1]
2.48/0.91	             [0 1 1 0 0]     [0]
2.48/0.91	             [1 1 0 1 1]     [1],
2.48/0.91	   
2.48/0.91	         [0]
2.48/0.91	         [0]
2.48/0.91	   [b] = [0]
2.48/0.91	         [0]
2.48/0.91	         [0],
2.48/0.91	   
2.48/0.91	         [1]
2.48/0.91	         [1]
2.48/0.91	   [a] = [0]
2.48/0.91	         [0]
2.48/0.91	         [0]
2.48/0.91	  orientation:
2.48/0.91	         [1]    [0]      
2.48/0.91	         [1]    [0]      
2.48/0.91	   a() = [0] >= [0] = b()
2.48/0.91	         [0]    [0]      
2.48/0.91	         [0]    [0]      
2.48/0.91	   
2.48/0.91	             [3 3 1 1 3]    [3]    [2 2 1 0 1]    [1]            
2.48/0.91	             [1 1 1 1 2]    [2]    [0 1 1 1 1]    [0]            
2.48/0.91	   f(s(x)) = [1 1 0 1 1]x + [2] >= [1 0 0 0 1]x + [2] = c(x,f(x))
2.48/0.91	             [1 2 1 0 0]    [0]    [0 0 1 0 0]    [0]            
2.48/0.91	             [2 3 2 1 3]    [2]    [2 2 2 0 1]    [1]            
2.48/0.91	   
2.48/0.91	                     [1 1 0 0 0]    [2]    [1 1 0 0 0]    [2]                  
2.48/0.91	                     [0 1 0 1 0]    [2]    [0 1 0 1 0]    [2]                  
2.48/0.91	   c(x,c(y(),z())) = [1 0 0 0 0]x + [3] >= [1 0 0 0 0]x + [3] = c(y(),c(x,z()))
2.48/0.91	                     [0 0 1 0 0]    [0]    [0 0 0 0 0]    [0]                  
2.48/0.91	                     [1 1 1 0 0]    [2]    [1 1 0 0 0]    [2]                  
2.48/0.91	  problem:
2.48/0.91	   strict:
2.48/0.91	    
2.48/0.91	   weak:
2.48/0.91	    c(x,c(y(),z())) -> c(y(),c(x,z()))
2.48/0.91	  Qed
2.50/0.92	EOF