2.30/0.88	YES
2.30/0.89	
2.30/0.89	Problem:
2.30/0.89	 a(d(x1)) -> d(b(x1))
2.30/0.89	 a(x1) -> b(b(b(x1)))
2.30/0.89	 b(d(b(x1))) -> a(c(x1))
2.30/0.89	 c(x1) -> d(x1)
2.30/0.89	
2.30/0.89	Proof:
2.30/0.89	 Matrix Interpretation Processor: dim=1
2.30/0.89	  
2.30/0.89	  interpretation:
2.30/0.89	   [c](x0) = 4x0,
2.30/0.89	   
2.30/0.89	   [b](x0) = x0 + 1,
2.30/0.89	   
2.30/0.89	   [a](x0) = x0 + 4,
2.30/0.89	   
2.30/0.89	   [d](x0) = 4x0
2.30/0.89	  orientation:
2.30/0.89	   a(d(x1)) = 4x1 + 4 >= 4x1 + 4 = d(b(x1))
2.30/0.89	   
2.30/0.89	   a(x1) = x1 + 4 >= x1 + 3 = b(b(b(x1)))
2.30/0.89	   
2.30/0.89	   b(d(b(x1))) = 4x1 + 5 >= 4x1 + 4 = a(c(x1))
2.30/0.89	   
2.30/0.89	   c(x1) = 4x1 >= 4x1 = d(x1)
2.30/0.89	  problem:
2.30/0.89	   a(d(x1)) -> d(b(x1))
2.30/0.89	   c(x1) -> d(x1)
2.30/0.89	  String Reversal Processor:
2.30/0.89	   d(a(x1)) -> b(d(x1))
2.30/0.89	   c(x1) -> d(x1)
2.30/0.89	   KBO Processor:
2.30/0.89	    weight function:
2.30/0.89	     w0 = 1
2.30/0.89	     w(c) = w(b) = w(a) = w(d) = 1
2.30/0.89	    precedence:
2.30/0.89	     a > c > d > b
2.30/0.89	    problem:
2.30/0.89	     
2.30/0.89	    Qed
2.30/0.89	EOF