9.71/2.85	YES
9.71/2.86	
9.71/2.86	Problem:
9.71/2.86	 a(a(b(d(b(d(a(x1))))))) -> a(a(c(a(a(b(d(x1)))))))
9.71/2.86	 a(a(c(x1))) -> c(c(a(a(x1))))
9.71/2.86	 c(c(c(x1))) -> b(d(c(b(d(x1)))))
9.71/2.86	
9.71/2.86	Proof:
9.71/2.86	 String Reversal Processor:
9.71/2.86	  a(d(b(d(b(a(a(x1))))))) -> d(b(a(a(c(a(a(x1)))))))
9.71/2.86	  c(a(a(x1))) -> a(a(c(c(x1))))
9.71/2.86	  c(c(c(x1))) -> d(b(c(d(b(x1)))))
9.71/2.86	  Matrix Interpretation Processor: dim=3
9.71/2.86	   
9.71/2.86	   interpretation:
9.71/2.86	              [1 0 0]  
9.71/2.86	    [c](x0) = [0 1 0]x0
9.71/2.86	              [0 0 0]  ,
9.71/2.86	    
9.71/2.86	              [1 0 0]  
9.71/2.86	    [b](x0) = [0 1 0]x0
9.71/2.86	              [0 1 1]  ,
9.71/2.86	    
9.71/2.86	              [1 0 0]  
9.71/2.86	    [d](x0) = [0 0 0]x0
9.71/2.86	              [0 1 1]  ,
9.71/2.86	    
9.71/2.86	              [1 0 1]     [0]
9.71/2.86	    [a](x0) = [0 0 0]x0 + [1]
9.71/2.86	              [0 0 1]     [0]
9.71/2.86	   orientation:
9.71/2.86	                              [1 0 3]     [2]    [1 0 2]     [0]                          
9.71/2.86	    a(d(b(d(b(a(a(x1))))))) = [0 0 0]x1 + [1] >= [0 0 0]x1 + [0] = d(b(a(a(c(a(a(x1)))))))
9.71/2.86	                              [0 0 1]     [2]    [0 0 0]     [2]                          
9.71/2.86	    
9.71/2.86	                  [1 0 2]     [0]    [1 0 0]     [0]                 
9.71/2.86	    c(a(a(x1))) = [0 0 0]x1 + [1] >= [0 0 0]x1 + [1] = a(a(c(c(x1))))
9.71/2.86	                  [0 0 0]     [0]    [0 0 0]     [0]                 
9.71/2.86	    
9.71/2.86	                  [1 0 0]      [1 0 0]                      
9.71/2.86	    c(c(c(x1))) = [0 1 0]x1 >= [0 0 0]x1 = d(b(c(d(b(x1)))))
9.71/2.86	                  [0 0 0]      [0 0 0]                      
9.71/2.86	   problem:
9.71/2.86	    c(a(a(x1))) -> a(a(c(c(x1))))
9.71/2.86	    c(c(c(x1))) -> d(b(c(d(b(x1)))))
9.71/2.86	   String Reversal Processor:
9.71/2.86	    a(a(c(x1))) -> c(c(a(a(x1))))
9.71/2.86	    c(c(c(x1))) -> b(d(c(b(d(x1)))))
9.71/2.86	    Bounds Processor:
9.71/2.86	     bound: 1
9.71/2.86	     enrichment: match
9.71/2.86	     automaton:
9.71/2.86	      final states: {6,1}
9.71/2.86	      transitions:
9.71/2.86	       b1(27) -> 28*
9.71/2.86	       b1(24) -> 25*
9.71/2.86	       b1(21) -> 22*
9.71/2.86	       b1(18) -> 19*
9.71/2.86	       d1(20) -> 21*
9.71/2.86	       d1(17) -> 18*
9.71/2.86	       d1(26) -> 27*
9.71/2.86	       d1(23) -> 24*
9.71/2.86	       c1(25) -> 26*
9.71/2.86	       c1(19) -> 20*
9.71/2.86	       f40() -> 2*
9.71/2.86	       c0(5) -> 1*
9.71/2.86	       c0(4) -> 5*
9.71/2.86	       c0(8) -> 9*
9.71/2.86	       a0(2) -> 3*
9.71/2.86	       a0(3) -> 4*
9.71/2.86	       b0(10) -> 6*
9.71/2.86	       b0(7) -> 8*
9.71/2.86	       d0(2) -> 7*
9.71/2.86	       d0(9) -> 10*
9.71/2.86	       1 -> 3,4
9.71/2.86	       4 -> 23*
9.71/2.86	       5 -> 17*
9.71/2.86	       22 -> 1,4
9.71/2.86	       28 -> 5*
9.71/2.86	     problem:
9.71/2.86	      
9.71/2.86	     Qed
9.71/2.86	EOF