9.60/2.76	YES
9.60/2.77	
9.60/2.77	Problem:
9.60/2.77	 strict:
9.60/2.77	  top(ok(new(x))) -> top(check(x))
9.60/2.77	  top(ok(old(x))) -> top(check(x))
9.60/2.77	 weak:
9.60/2.77	  bot() -> new(bot())
9.60/2.77	  check(new(x)) -> new(check(x))
9.60/2.77	  check(old(x)) -> old(check(x))
9.60/2.77	  check(old(x)) -> ok(old(x))
9.60/2.77	  new(ok(x)) -> ok(new(x))
9.60/2.77	  old(ok(x)) -> ok(old(x))
9.60/2.77	
9.60/2.77	Proof:
9.60/2.77	 Arctic Interpretation Processor:
9.60/2.77	  dimension: 1
9.60/2.77	  interpretation:
9.60/2.77	   [bot] = 4,
9.60/2.77	   
9.60/2.77	   [old](x0) = 13x0,
9.60/2.77	   
9.60/2.77	   [check](x0) = x0,
9.60/2.77	   
9.60/2.77	   [top](x0) = x0,
9.60/2.77	   
9.60/2.77	   [ok](x0) = x0,
9.60/2.77	   
9.60/2.77	   [new](x0) = x0
9.60/2.77	  orientation:
9.60/2.77	   top(ok(new(x))) = x >= x = top(check(x))
9.60/2.77	   
9.60/2.77	   top(ok(old(x))) = 13x >= x = top(check(x))
9.60/2.77	   
9.60/2.77	   bot() = 4 >= 4 = new(bot())
9.60/2.77	   
9.60/2.77	   check(new(x)) = x >= x = new(check(x))
9.60/2.77	   
9.60/2.77	   check(old(x)) = 13x >= 13x = old(check(x))
9.60/2.77	   
9.60/2.77	   check(old(x)) = 13x >= 13x = ok(old(x))
9.60/2.77	   
9.60/2.77	   new(ok(x)) = x >= x = ok(new(x))
9.60/2.77	   
9.60/2.77	   old(ok(x)) = 13x >= 13x = ok(old(x))
9.60/2.77	  problem:
9.60/2.77	   strict:
9.60/2.77	    top(ok(new(x))) -> top(check(x))
9.60/2.77	   weak:
9.60/2.77	    bot() -> new(bot())
9.60/2.77	    check(new(x)) -> new(check(x))
9.60/2.77	    check(old(x)) -> old(check(x))
9.60/2.77	    check(old(x)) -> ok(old(x))
9.60/2.78	    new(ok(x)) -> ok(new(x))
9.60/2.78	    old(ok(x)) -> ok(old(x))
9.60/2.78	  Matrix Interpretation Processor: dim=2
9.60/2.78	   
9.60/2.78	   interpretation:
9.60/2.78	            [0]
9.60/2.78	    [bot] = [0],
9.60/2.78	    
9.60/2.78	                [2 0]     [1]
9.60/2.78	    [old](x0) = [0 1]x0 + [0],
9.60/2.78	    
9.60/2.78	                  [1 0]     [0]
9.60/2.78	    [check](x0) = [1 0]x0 + [2],
9.60/2.78	    
9.60/2.78	                [1 1]     [0]
9.60/2.78	    [top](x0) = [1 0]x0 + [2],
9.60/2.78	    
9.60/2.78	               [1 0]     [0]
9.60/2.78	    [ok](x0) = [0 0]x0 + [3],
9.60/2.78	    
9.60/2.78	                [2 0]  
9.60/2.78	    [new](x0) = [0 1]x0
9.60/2.78	   orientation:
9.60/2.78	                      [2 0]    [3]    [2 0]    [2]                
9.60/2.78	    top(ok(new(x))) = [2 0]x + [2] >= [1 0]x + [2] = top(check(x))
9.60/2.78	    
9.60/2.78	            [0]    [0]             
9.60/2.78	    bot() = [0] >= [0] = new(bot())
9.60/2.78	    
9.60/2.78	                    [2 0]    [0]    [2 0]    [0]                
9.60/2.78	    check(new(x)) = [2 0]x + [2] >= [1 0]x + [2] = new(check(x))
9.60/2.78	    
9.60/2.78	                    [2 0]    [1]    [2 0]    [1]                
9.60/2.78	    check(old(x)) = [2 0]x + [3] >= [1 0]x + [2] = old(check(x))
9.60/2.78	    
9.60/2.78	                    [2 0]    [1]    [2 0]    [1]             
9.60/2.78	    check(old(x)) = [2 0]x + [3] >= [0 0]x + [3] = ok(old(x))
9.60/2.78	    
9.60/2.78	                 [2 0]    [0]    [2 0]    [0]             
9.60/2.78	    new(ok(x)) = [0 0]x + [3] >= [0 0]x + [3] = ok(new(x))
9.60/2.78	    
9.60/2.78	                 [2 0]    [1]    [2 0]    [1]             
9.60/2.78	    old(ok(x)) = [0 0]x + [3] >= [0 0]x + [3] = ok(old(x))
9.60/2.78	   problem:
9.60/2.78	    strict:
9.60/2.78	     
9.60/2.78	    weak:
9.60/2.78	     bot() -> new(bot())
9.60/2.78	     check(new(x)) -> new(check(x))
9.60/2.78	     check(old(x)) -> old(check(x))
9.60/2.78	     check(old(x)) -> ok(old(x))
9.60/2.78	     new(ok(x)) -> ok(new(x))
9.60/2.78	     old(ok(x)) -> ok(old(x))
9.60/2.78	   Qed
9.60/2.78	EOF