17.37/4.76	YES
17.37/4.77	
17.37/4.77	Problem:
17.37/4.77	 b(b(d(d(b(b(x1)))))) -> c(c(d(d(b(b(x1))))))
17.37/4.77	 b(b(a(a(c(c(x1)))))) -> b(b(c(c(x1))))
17.37/4.77	 a(a(d(d(x1)))) -> d(d(c(c(x1))))
17.37/4.77	 b(b(b(b(b(b(x1)))))) -> a(a(b(b(c(c(x1))))))
17.37/4.77	 d(d(c(c(x1)))) -> b(b(d(d(x1))))
17.37/4.77	 d(d(c(c(x1)))) -> d(d(b(b(d(d(x1))))))
17.37/4.77	 d(d(a(a(c(c(x1)))))) -> b(b(b(b(x1))))
17.37/4.77	
17.37/4.77	Proof:
17.37/4.77	 Matrix Interpretation Processor: dim=1
17.37/4.77	  
17.37/4.77	  interpretation:
17.37/4.77	   [a](x0) = x0 + 1,
17.37/4.77	   
17.37/4.77	   [c](x0) = x0 + 1,
17.37/4.77	   
17.37/4.77	   [d](x0) = x0,
17.37/4.77	   
17.37/4.77	   [b](x0) = x0 + 1
17.37/4.77	  orientation:
17.37/4.77	   b(b(d(d(b(b(x1)))))) = x1 + 4 >= x1 + 4 = c(c(d(d(b(b(x1))))))
17.37/4.77	   
17.37/4.77	   b(b(a(a(c(c(x1)))))) = x1 + 6 >= x1 + 4 = b(b(c(c(x1))))
17.37/4.77	   
17.37/4.77	   a(a(d(d(x1)))) = x1 + 2 >= x1 + 2 = d(d(c(c(x1))))
17.37/4.77	   
17.37/4.77	   b(b(b(b(b(b(x1)))))) = x1 + 6 >= x1 + 6 = a(a(b(b(c(c(x1))))))
17.37/4.77	   
17.37/4.77	   d(d(c(c(x1)))) = x1 + 2 >= x1 + 2 = b(b(d(d(x1))))
17.37/4.77	   
17.37/4.77	   d(d(c(c(x1)))) = x1 + 2 >= x1 + 2 = d(d(b(b(d(d(x1))))))
17.37/4.77	   
17.37/4.77	   d(d(a(a(c(c(x1)))))) = x1 + 4 >= x1 + 4 = b(b(b(b(x1))))
17.37/4.77	  problem:
17.37/4.77	   b(b(d(d(b(b(x1)))))) -> c(c(d(d(b(b(x1))))))
17.37/4.77	   a(a(d(d(x1)))) -> d(d(c(c(x1))))
17.37/4.77	   b(b(b(b(b(b(x1)))))) -> a(a(b(b(c(c(x1))))))
17.37/4.77	   d(d(c(c(x1)))) -> b(b(d(d(x1))))
17.37/4.77	   d(d(c(c(x1)))) -> d(d(b(b(d(d(x1))))))
17.37/4.77	   d(d(a(a(c(c(x1)))))) -> b(b(b(b(x1))))
17.37/4.77	  Matrix Interpretation Processor: dim=3
17.37/4.77	   
17.37/4.77	   interpretation:
17.37/4.77	              [1 0 1]  
17.37/4.77	    [a](x0) = [0 0 1]x0
17.37/4.77	              [0 1 0]  ,
17.37/4.77	    
17.37/4.77	              [1 0 0]  
17.37/4.77	    [c](x0) = [0 0 0]x0
17.37/4.77	              [0 0 0]  ,
17.37/4.77	    
17.37/4.77	              [1 0 0]     [0]
17.37/4.77	    [d](x0) = [0 1 0]x0 + [1]
17.37/4.77	              [0 0 0]     [0],
17.37/4.77	    
17.37/4.77	              [1 0 0]  
17.37/4.77	    [b](x0) = [0 0 0]x0
17.37/4.77	              [0 0 0]  
17.37/4.77	   orientation:
17.37/4.77	                           [1 0 0]      [1 0 0]                         
17.37/4.77	    b(b(d(d(b(b(x1)))))) = [0 0 0]x1 >= [0 0 0]x1 = c(c(d(d(b(b(x1))))))
17.37/4.77	                           [0 0 0]      [0 0 0]                         
17.37/4.77	    
17.37/4.77	                     [1 1 0]     [2]    [1 0 0]     [0]                 
17.37/4.77	    a(a(d(d(x1)))) = [0 1 0]x1 + [2] >= [0 0 0]x1 + [2] = d(d(c(c(x1))))
17.37/4.77	                     [0 0 0]     [0]    [0 0 0]     [0]                 
17.37/4.77	    
17.37/4.77	                           [1 0 0]      [1 0 0]                         
17.37/4.77	    b(b(b(b(b(b(x1)))))) = [0 0 0]x1 >= [0 0 0]x1 = a(a(b(b(c(c(x1))))))
17.37/4.77	                           [0 0 0]      [0 0 0]                         
17.37/4.77	    
17.37/4.77	                     [1 0 0]     [0]    [1 0 0]                   
17.37/4.77	    d(d(c(c(x1)))) = [0 0 0]x1 + [2] >= [0 0 0]x1 = b(b(d(d(x1))))
17.37/4.77	                     [0 0 0]     [0]    [0 0 0]                   
17.37/4.77	    
17.37/4.77	                     [1 0 0]     [0]    [1 0 0]     [0]                       
17.37/4.77	    d(d(c(c(x1)))) = [0 0 0]x1 + [2] >= [0 0 0]x1 + [2] = d(d(b(b(d(d(x1))))))
17.37/4.77	                     [0 0 0]     [0]    [0 0 0]     [0]                       
17.37/4.77	    
17.37/4.77	                           [1 0 0]     [0]    [1 0 0]                   
17.37/4.77	    d(d(a(a(c(c(x1)))))) = [0 0 0]x1 + [2] >= [0 0 0]x1 = b(b(b(b(x1))))
17.37/4.77	                           [0 0 0]     [0]    [0 0 0]                   
17.37/4.77	   problem:
17.37/4.77	    b(b(d(d(b(b(x1)))))) -> c(c(d(d(b(b(x1))))))
17.37/4.77	    b(b(b(b(b(b(x1)))))) -> a(a(b(b(c(c(x1))))))
17.37/4.77	    d(d(c(c(x1)))) -> b(b(d(d(x1))))
17.37/4.77	    d(d(c(c(x1)))) -> d(d(b(b(d(d(x1))))))
17.37/4.77	    d(d(a(a(c(c(x1)))))) -> b(b(b(b(x1))))
17.37/4.77	   String Reversal Processor:
17.37/4.77	    b(b(d(d(b(b(x1)))))) -> b(b(d(d(c(c(x1))))))
17.37/4.77	    b(b(b(b(b(b(x1)))))) -> c(c(b(b(a(a(x1))))))
17.37/4.77	    c(c(d(d(x1)))) -> d(d(b(b(x1))))
17.37/4.77	    c(c(d(d(x1)))) -> d(d(b(b(d(d(x1))))))
17.37/4.77	    c(c(a(a(d(d(x1)))))) -> b(b(b(b(x1))))
17.37/4.77	    Bounds Processor:
17.37/4.77	     bound: 1
17.37/4.77	     enrichment: match
17.37/4.77	     automaton:
17.37/4.77	      final states: {24,18,14,8,1}
17.37/4.77	      transitions:
17.37/4.77	       b1(30) -> 31*
17.37/4.77	       b1(31) -> 32*
17.37/4.77	       d1(29) -> 30*
17.37/4.77	       d1(28) -> 29*
17.37/4.77	       c1(27) -> 28*
17.37/4.77	       c1(26) -> 27*
17.37/4.77	       f40() -> 2*
17.37/4.77	       b0(25) -> 24*
17.37/4.77	       b0(20) -> 21*
17.37/4.77	       b0(15) -> 16*
17.37/4.77	       b0(10) -> 11*
17.37/4.77	       b0(7) -> 1*
17.37/4.77	       b0(2) -> 15*
17.37/4.77	       b0(21) -> 22*
17.37/4.77	       b0(16) -> 25*
17.37/4.77	       b0(11) -> 12*
17.37/4.77	       b0(6) -> 7*
17.37/4.77	       d0(5) -> 6*
17.37/4.77	       d0(22) -> 23*
17.37/4.77	       d0(17) -> 14*
17.37/4.77	       d0(2) -> 19*
17.37/4.77	       d0(19) -> 20*
17.37/4.77	       d0(4) -> 5*
17.37/4.77	       d0(16) -> 17*
17.37/4.77	       d0(23) -> 18*
17.37/4.77	       c0(12) -> 13*
17.37/4.77	       c0(2) -> 3*
17.37/4.77	       c0(13) -> 8*
17.37/4.77	       c0(3) -> 4*
17.37/4.77	       a0(2) -> 9*
17.37/4.77	       a0(9) -> 10*
17.37/4.77	       1 -> 15,16,22
17.37/4.77	       8 -> 15,16,25,24
17.37/4.77	       14 -> 3,4
17.37/4.77	       16 -> 26*
17.37/4.77	       18 -> 3,4
17.37/4.77	       24 -> 3,4
17.37/4.77	       32 -> 1,16,22,15
17.37/4.77	     problem:
17.37/4.77	      
17.37/4.77	     Qed
17.37/4.78	EOF