9.31/2.76	YES
9.31/2.77	
9.31/2.77	Problem:
9.31/2.77	 b(d(b(x1))) -> c(d(b(x1)))
9.31/2.77	 b(a(c(x1))) -> b(c(x1))
9.31/2.77	 a(d(x1)) -> d(c(x1))
9.31/2.77	 b(b(b(x1))) -> a(b(c(x1)))
9.31/2.77	 d(c(x1)) -> b(d(x1))
9.31/2.77	 d(c(x1)) -> d(b(d(x1)))
9.31/2.77	 d(a(c(x1))) -> b(b(x1))
9.31/2.77	
9.31/2.77	Proof:
9.31/2.77	 Matrix Interpretation Processor: dim=1
9.31/2.77	  
9.31/2.77	  interpretation:
9.31/2.77	   [a](x0) = 2x0 + 1,
9.31/2.77	   
9.31/2.77	   [c](x0) = 2x0 + 1,
9.31/2.77	   
9.31/2.77	   [d](x0) = x0,
9.31/2.77	   
9.31/2.77	   [b](x0) = 2x0 + 1
9.31/2.77	  orientation:
9.31/2.77	   b(d(b(x1))) = 4x1 + 3 >= 4x1 + 3 = c(d(b(x1)))
9.31/2.77	   
9.31/2.77	   b(a(c(x1))) = 8x1 + 7 >= 4x1 + 3 = b(c(x1))
9.31/2.77	   
9.31/2.77	   a(d(x1)) = 2x1 + 1 >= 2x1 + 1 = d(c(x1))
9.31/2.77	   
9.31/2.77	   b(b(b(x1))) = 8x1 + 7 >= 8x1 + 7 = a(b(c(x1)))
9.31/2.77	   
9.31/2.77	   d(c(x1)) = 2x1 + 1 >= 2x1 + 1 = b(d(x1))
9.31/2.77	   
9.31/2.77	   d(c(x1)) = 2x1 + 1 >= 2x1 + 1 = d(b(d(x1)))
9.31/2.77	   
9.31/2.77	   d(a(c(x1))) = 4x1 + 3 >= 4x1 + 3 = b(b(x1))
9.31/2.77	  problem:
9.31/2.77	   b(d(b(x1))) -> c(d(b(x1)))
9.31/2.77	   a(d(x1)) -> d(c(x1))
9.31/2.77	   b(b(b(x1))) -> a(b(c(x1)))
9.31/2.77	   d(c(x1)) -> b(d(x1))
9.31/2.77	   d(c(x1)) -> d(b(d(x1)))
9.31/2.77	   d(a(c(x1))) -> b(b(x1))
9.31/2.77	  Matrix Interpretation Processor: dim=3
9.31/2.77	   
9.31/2.77	   interpretation:
9.31/2.77	              [1 1 0]  
9.31/2.77	    [a](x0) = [0 1 0]x0
9.31/2.77	              [0 0 0]  ,
9.31/2.77	    
9.31/2.77	              [1 0 0]  
9.31/2.77	    [c](x0) = [0 0 1]x0
9.31/2.77	              [0 0 0]  ,
9.31/2.77	    
9.31/2.77	              [1 0 0]     [0]
9.31/2.77	    [d](x0) = [1 1 1]x0 + [1]
9.31/2.77	              [0 0 0]     [0],
9.31/2.77	    
9.31/2.77	              [1 0 0]  
9.31/2.77	    [b](x0) = [0 0 0]x0
9.31/2.77	              [0 0 0]  
9.31/2.77	   orientation:
9.31/2.77	                  [1 0 0]      [1 0 0]                
9.31/2.77	    b(d(b(x1))) = [0 0 0]x1 >= [0 0 0]x1 = c(d(b(x1)))
9.31/2.77	                  [0 0 0]      [0 0 0]                
9.31/2.77	    
9.31/2.77	               [2 1 1]     [1]    [1 0 0]     [0]           
9.31/2.77	    a(d(x1)) = [1 1 1]x1 + [1] >= [1 0 1]x1 + [1] = d(c(x1))
9.31/2.77	               [0 0 0]     [0]    [0 0 0]     [0]           
9.31/2.77	    
9.31/2.77	                  [1 0 0]      [1 0 0]                
9.31/2.77	    b(b(b(x1))) = [0 0 0]x1 >= [0 0 0]x1 = a(b(c(x1)))
9.31/2.77	                  [0 0 0]      [0 0 0]                
9.31/2.77	    
9.31/2.77	               [1 0 0]     [0]    [1 0 0]             
9.31/2.77	    d(c(x1)) = [1 0 1]x1 + [1] >= [0 0 0]x1 = b(d(x1))
9.31/2.77	               [0 0 0]     [0]    [0 0 0]             
9.31/2.77	    
9.31/2.77	               [1 0 0]     [0]    [1 0 0]     [0]              
9.31/2.77	    d(c(x1)) = [1 0 1]x1 + [1] >= [1 0 0]x1 + [1] = d(b(d(x1)))
9.31/2.77	               [0 0 0]     [0]    [0 0 0]     [0]              
9.31/2.77	    
9.31/2.77	                  [1 0 1]     [0]    [1 0 0]             
9.31/2.77	    d(a(c(x1))) = [1 0 2]x1 + [1] >= [0 0 0]x1 = b(b(x1))
9.31/2.77	                  [0 0 0]     [0]    [0 0 0]             
9.31/2.77	   problem:
9.31/2.77	    b(d(b(x1))) -> c(d(b(x1)))
9.31/2.77	    b(b(b(x1))) -> a(b(c(x1)))
9.31/2.77	    d(c(x1)) -> b(d(x1))
9.31/2.77	    d(c(x1)) -> d(b(d(x1)))
9.31/2.77	    d(a(c(x1))) -> b(b(x1))
9.31/2.77	   String Reversal Processor:
9.31/2.77	    b(d(b(x1))) -> b(d(c(x1)))
9.31/2.77	    b(b(b(x1))) -> c(b(a(x1)))
9.31/2.77	    c(d(x1)) -> d(b(x1))
9.31/2.77	    c(d(x1)) -> d(b(d(x1)))
9.31/2.77	    c(a(d(x1))) -> b(b(x1))
9.31/2.77	    Bounds Processor:
9.31/2.77	     bound: 1
9.31/2.77	     enrichment: match
9.31/2.77	     automaton:
9.31/2.77	      final states: {13,10,8,5,1}
9.31/2.77	      transitions:
9.31/2.77	       f40() -> 2*
9.31/2.77	       b0(2) -> 9*
9.31/2.77	       b0(9) -> 13*
9.31/2.77	       b0(4) -> 1*
9.31/2.77	       b0(11) -> 12*
9.31/2.77	       b0(6) -> 7*
9.31/2.77	       d0(12) -> 10*
9.31/2.77	       d0(2) -> 11*
9.31/2.77	       d0(9) -> 8*
9.31/2.77	       d0(3) -> 4*
9.31/2.77	       c0(7) -> 5*
9.31/2.77	       c0(2) -> 3*
9.31/2.77	       a0(2) -> 6*
9.31/2.77	       b1(16) -> 17*
9.31/2.77	       d1(15) -> 16*
9.31/2.77	       c1(14) -> 15*
9.31/2.77	       1 -> 9,12
9.31/2.77	       5 -> 9,13
9.31/2.77	       8 -> 3*
9.31/2.77	       9 -> 14*
9.31/2.77	       10 -> 3*
9.31/2.77	       13 -> 3*
9.31/2.77	       17 -> 1,12,9
9.31/2.77	     problem:
9.31/2.77	      
9.31/2.77	     Qed
9.31/2.77	EOF