6.78/2.32	YES
6.78/2.32	
6.78/2.32	Problem:
6.78/2.32	 strict:
6.78/2.32	  l(m(x)) -> m(l(x))
6.78/2.32	  m(r(x)) -> r(m(x))
6.78/2.32	  f(m(x),y) -> f(x,m(y))
6.78/2.32	 weak:
6.78/2.32	  b() -> l(b())
6.78/2.32	  f(x,y) -> f(x,r(y))
6.78/2.32	
6.78/2.32	Proof:
6.78/2.32	 Bounds Processor:
6.78/2.32	  bound: 1
6.78/2.32	  enrichment: match-rt
6.78/2.32	  automaton:
6.78/2.32	   final states: {6}
6.78/2.32	   transitions:
6.78/2.32	    m1(20) -> 20*
6.78/2.32	    m1(6) -> 20*
6.78/2.32	    l1(39) -> 39,6
6.78/2.32	    r1(20) -> 20*
6.78/2.32	    r1(6) -> 20*
6.78/2.32	    f1(6,20) -> 6*
6.78/2.32	    l0(6) -> 6*
6.78/2.32	    m0(6) -> 6*
6.78/2.32	    b1() -> 39*
6.78/2.32	    r0(6) -> 6*
6.78/2.32	    f0(6,6) -> 6*
6.78/2.32	    b0() -> 6*
6.78/2.32	  problem:
6.78/2.32	   strict:
6.78/2.32	    l(m(x)) -> m(l(x))
6.78/2.32	    m(r(x)) -> r(m(x))
6.78/2.32	   weak:
6.78/2.32	    b() -> l(b())
6.78/2.32	    f(x,y) -> f(x,r(y))
6.78/2.32	  Matrix Interpretation Processor: dim=2
6.78/2.32	   
6.78/2.32	   interpretation:
6.78/2.32	          [0]
6.78/2.32	    [b] = [0],
6.78/2.32	    
6.78/2.32	                  [1 0]     [1 2]     [0]
6.78/2.32	    [f](x0, x1) = [0 0]x0 + [0 0]x1 + [1],
6.78/2.32	    
6.78/2.32	                
6.78/2.32	    [r](x0) = x0,
6.78/2.32	    
6.78/2.32	              [2 1]  
6.78/2.32	    [l](x0) = [0 1]x0,
6.78/2.32	    
6.78/2.32	                   [0]
6.78/2.32	    [m](x0) = x0 + [3]
6.78/2.32	   orientation:
6.78/2.32	              [2 1]    [3]    [2 1]    [0]          
6.78/2.32	    l(m(x)) = [0 1]x + [3] >= [0 1]x + [3] = m(l(x))
6.78/2.32	    
6.78/2.32	                  [0]        [0]          
6.78/2.32	    m(r(x)) = x + [3] >= x + [3] = r(m(x))
6.78/2.32	    
6.78/2.32	          [0]    [0]         
6.78/2.32	    b() = [0] >= [0] = l(b())
6.78/2.32	    
6.78/2.32	             [1 0]    [1 2]    [0]    [1 0]    [1 2]    [0]            
6.78/2.32	    f(x,y) = [0 0]x + [0 0]y + [1] >= [0 0]x + [0 0]y + [1] = f(x,r(y))
6.78/2.32	   problem:
6.78/2.32	    strict:
6.78/2.32	     m(r(x)) -> r(m(x))
6.78/2.32	    weak:
6.78/2.32	     b() -> l(b())
6.78/2.32	     f(x,y) -> f(x,r(y))
6.78/2.32	   Matrix Interpretation Processor: dim=2
6.78/2.32	    
6.78/2.32	    interpretation:
6.78/2.32	           [0]
6.78/2.32	     [b] = [1],
6.78/2.32	     
6.78/2.32	                   [2 0]     [1 0]  
6.78/2.32	     [f](x0, x1) = [0 0]x0 + [0 0]x1,
6.78/2.32	     
6.78/2.32	               [1 0]     [0]
6.78/2.32	     [r](x0) = [0 2]x0 + [2],
6.78/2.32	     
6.78/2.32	               [2 0]  
6.78/2.32	     [l](x0) = [0 0]x0,
6.78/2.32	     
6.78/2.32	               [1 1]  
6.78/2.32	     [m](x0) = [0 1]x0
6.78/2.32	    orientation:
6.78/2.32	               [1 2]    [2]    [1 1]    [0]          
6.78/2.32	     m(r(x)) = [0 2]x + [2] >= [0 2]x + [2] = r(m(x))
6.78/2.32	     
6.78/2.32	           [0]    [0]         
6.78/2.32	     b() = [1] >= [0] = l(b())
6.78/2.32	     
6.78/2.32	              [2 0]    [1 0]     [2 0]    [1 0]             
6.78/2.32	     f(x,y) = [0 0]x + [0 0]y >= [0 0]x + [0 0]y = f(x,r(y))
6.78/2.32	    problem:
6.78/2.32	     strict:
6.78/2.32	      
6.78/2.32	     weak:
6.78/2.32	      b() -> l(b())
6.78/2.32	      f(x,y) -> f(x,r(y))
6.78/2.32	    Qed
8.00/2.33	EOF