2.46/1.05	YES
2.46/1.05	
2.46/1.05	Problem:
2.46/1.05	 a(a(x1)) -> b(b(b(x1)))
2.46/1.05	 b(b(x1)) -> c(c(c(x1)))
2.46/1.05	 c(c(c(c(x1)))) -> a(b(x1))
2.46/1.05	
2.46/1.05	Proof:
2.46/1.05	 Matrix Interpretation Processor: dim=1
2.46/1.05	  
2.46/1.05	  interpretation:
2.46/1.05	   [c](x0) = x0 + 5,
2.46/1.05	   
2.46/1.05	   [b](x0) = x0 + 8,
2.46/1.05	   
2.46/1.05	   [a](x0) = x0 + 12
2.46/1.05	  orientation:
2.46/1.05	   a(a(x1)) = x1 + 24 >= x1 + 24 = b(b(b(x1)))
2.46/1.05	   
2.46/1.05	   b(b(x1)) = x1 + 16 >= x1 + 15 = c(c(c(x1)))
2.46/1.05	   
2.46/1.05	   c(c(c(c(x1)))) = x1 + 20 >= x1 + 20 = a(b(x1))
2.46/1.05	  problem:
2.46/1.05	   a(a(x1)) -> b(b(b(x1)))
2.46/1.05	   c(c(c(c(x1)))) -> a(b(x1))
2.46/1.05	  String Reversal Processor:
2.46/1.05	   a(a(x1)) -> b(b(b(x1)))
2.46/1.05	   c(c(c(c(x1)))) -> b(a(x1))
2.46/1.05	   KBO Processor:
2.46/1.05	    weight function:
2.46/1.05	     w0 = 1
2.46/1.05	     w(c) = w(a) = 1
2.46/1.05	     w(b) = 0
2.46/1.05	    precedence:
2.46/1.05	     b > c ~ a
2.46/1.05	    problem:
2.46/1.05	     
2.46/1.05	    Qed
2.46/1.06	EOF