3.02/1.24	YES
3.02/1.24	
3.02/1.24	Problem:
3.02/1.24	 a(a(x1)) -> d(c(x1))
3.02/1.24	 a(b(x1)) -> c(c(c(x1)))
3.02/1.24	 b(b(x1)) -> a(c(c(x1)))
3.02/1.24	 c(c(x1)) -> b(x1)
3.02/1.24	 c(d(x1)) -> a(a(x1))
3.02/1.24	 d(d(x1)) -> b(a(c(x1)))
3.02/1.24	
3.02/1.24	Proof:
3.02/1.24	 String Reversal Processor:
3.02/1.24	  a(a(x1)) -> c(d(x1))
3.02/1.24	  b(a(x1)) -> c(c(c(x1)))
3.02/1.24	  b(b(x1)) -> c(c(a(x1)))
3.02/1.24	  c(c(x1)) -> b(x1)
3.02/1.24	  d(c(x1)) -> a(a(x1))
3.02/1.24	  d(d(x1)) -> c(a(b(x1)))
3.02/1.24	  Matrix Interpretation Processor: dim=1
3.02/1.24	   
3.02/1.24	   interpretation:
3.02/1.24	    [b](x0) = x0 + 10,
3.02/1.24	    
3.02/1.24	    [d](x0) = x0 + 13,
3.02/1.24	    
3.02/1.24	    [c](x0) = x0 + 5,
3.02/1.24	    
3.02/1.24	    [a](x0) = x0 + 9
3.02/1.24	   orientation:
3.02/1.24	    a(a(x1)) = x1 + 18 >= x1 + 18 = c(d(x1))
3.02/1.24	    
3.02/1.24	    b(a(x1)) = x1 + 19 >= x1 + 15 = c(c(c(x1)))
3.02/1.24	    
3.02/1.24	    b(b(x1)) = x1 + 20 >= x1 + 19 = c(c(a(x1)))
3.02/1.24	    
3.02/1.24	    c(c(x1)) = x1 + 10 >= x1 + 10 = b(x1)
3.02/1.24	    
3.02/1.24	    d(c(x1)) = x1 + 18 >= x1 + 18 = a(a(x1))
3.02/1.24	    
3.02/1.24	    d(d(x1)) = x1 + 26 >= x1 + 24 = c(a(b(x1)))
3.02/1.24	   problem:
3.02/1.24	    a(a(x1)) -> c(d(x1))
3.02/1.24	    c(c(x1)) -> b(x1)
3.02/1.24	    d(c(x1)) -> a(a(x1))
3.02/1.24	   String Reversal Processor:
3.02/1.24	    a(a(x1)) -> d(c(x1))
3.02/1.24	    c(c(x1)) -> b(x1)
3.02/1.24	    c(d(x1)) -> a(a(x1))
3.02/1.24	    KBO Processor:
3.02/1.24	     weight function:
3.02/1.24	      w0 = 1
3.02/1.24	      w(b) = w(d) = w(c) = w(a) = 1
3.02/1.24	     precedence:
3.02/1.24	      c > a > b ~ d
3.02/1.24	     problem:
3.02/1.24	      
3.02/1.24	     Qed
3.02/1.25	EOF