2.60/0.97	YES
2.60/0.97	
2.60/0.97	Problem:
2.60/0.97	 a(c(x1)) -> c(b(x1))
2.60/0.97	 a(x1) -> b(b(b(x1)))
2.60/0.97	 b(c(b(x1))) -> a(c(x1))
2.60/0.97	
2.60/0.97	Proof:
2.60/0.97	 Matrix Interpretation Processor: dim=1
2.60/0.97	  
2.60/0.97	  interpretation:
2.60/0.97	   [b](x0) = x0 + 1,
2.60/0.97	   
2.60/0.97	   [a](x0) = x0 + 3,
2.60/0.97	   
2.60/0.97	   [c](x0) = 3x0 + 1
2.60/0.97	  orientation:
2.60/0.97	   a(c(x1)) = 3x1 + 4 >= 3x1 + 4 = c(b(x1))
2.60/0.97	   
2.60/0.97	   a(x1) = x1 + 3 >= x1 + 3 = b(b(b(x1)))
2.60/0.97	   
2.60/0.97	   b(c(b(x1))) = 3x1 + 5 >= 3x1 + 4 = a(c(x1))
2.60/0.97	  problem:
2.60/0.97	   a(c(x1)) -> c(b(x1))
2.60/0.97	   a(x1) -> b(b(b(x1)))
2.60/0.97	  KBO Processor:
2.60/0.97	   weight function:
2.60/0.97	    w0 = 1
2.60/0.97	    w(a) = w(c) = 1
2.60/0.97	    w(b) = 0
2.60/0.97	   precedence:
2.60/0.97	    b > a ~ c
2.60/0.97	   problem:
2.60/0.97	    
2.60/0.97	   Qed
2.60/0.97	EOF