5.95/1.97	YES
5.95/1.97	
5.95/1.97	Problem:
5.95/1.97	 a(x1) -> b(b(x1))
5.95/1.97	 a(b(b(x1))) -> b(b(c(c(c(a(x1))))))
5.95/1.97	 b(b(x1)) -> c(c(c(x1)))
5.95/1.97	 c(c(c(b(b(x1))))) -> a(x1)
5.95/1.97	
5.95/1.97	Proof:
5.95/1.97	 String Reversal Processor:
5.95/1.97	  a(x1) -> b(b(x1))
5.95/1.97	  b(b(a(x1))) -> a(c(c(c(b(b(x1))))))
5.95/1.97	  b(b(x1)) -> c(c(c(x1)))
5.95/1.97	  b(b(c(c(c(x1))))) -> a(x1)
5.95/1.97	  Matrix Interpretation Processor: dim=1
5.95/1.97	   
5.95/1.97	   interpretation:
5.95/1.97	    [c](x0) = x0,
5.95/1.97	    
5.95/1.97	    [b](x0) = 2x0 + 1,
5.95/1.97	    
5.95/1.97	    [a](x0) = 4x0 + 3
5.95/1.97	   orientation:
5.95/1.97	    a(x1) = 4x1 + 3 >= 4x1 + 3 = b(b(x1))
5.95/1.97	    
5.95/1.97	    b(b(a(x1))) = 16x1 + 15 >= 16x1 + 15 = a(c(c(c(b(b(x1))))))
5.95/1.97	    
5.95/1.97	    b(b(x1)) = 4x1 + 3 >= x1 = c(c(c(x1)))
5.95/1.97	    
5.95/1.97	    b(b(c(c(c(x1))))) = 4x1 + 3 >= 4x1 + 3 = a(x1)
5.95/1.97	   problem:
5.95/1.97	    a(x1) -> b(b(x1))
5.95/1.97	    b(b(a(x1))) -> a(c(c(c(b(b(x1))))))
5.95/1.97	    b(b(c(c(c(x1))))) -> a(x1)
5.95/1.97	   Matrix Interpretation Processor: dim=1
5.95/1.97	    
5.95/1.97	    interpretation:
5.95/1.97	     [c](x0) = x0 + 1,
5.95/1.97	     
5.95/1.97	     [b](x0) = 2x0,
5.95/1.97	     
5.95/1.97	     [a](x0) = 4x0 + 4
5.95/1.97	    orientation:
5.95/1.97	     a(x1) = 4x1 + 4 >= 4x1 = b(b(x1))
5.95/1.97	     
5.95/1.97	     b(b(a(x1))) = 16x1 + 16 >= 16x1 + 16 = a(c(c(c(b(b(x1))))))
5.95/1.97	     
5.95/1.97	     b(b(c(c(c(x1))))) = 4x1 + 12 >= 4x1 + 4 = a(x1)
5.95/1.97	    problem:
5.95/1.97	     b(b(a(x1))) -> a(c(c(c(b(b(x1))))))
5.95/1.97	    KBO Processor:
5.95/1.97	     weight function:
5.95/1.97	      w0 = 1
5.95/1.97	      w(b) = w(a) = 1
5.95/1.97	      w(c) = 0
5.95/1.97	     precedence:
5.95/1.97	      c > b > a
5.95/1.97	     problem:
5.95/1.97	      
5.95/1.97	     Qed
5.95/1.97	EOF