13.49/3.80	YES
13.49/3.80	
13.49/3.80	Problem:
13.49/3.80	 strict:
13.49/3.80	  b(b(b(x1))) -> b(a(b(x1)))
13.49/3.80	  c(c(c(x1))) -> c(b(a(x1)))
13.49/3.80	 weak:
13.49/3.80	  c(a(b(x1))) -> a(c(c(x1)))
13.49/3.80	  a(b(c(x1))) -> b(c(c(x1)))
13.49/3.80	  c(a(c(x1))) -> a(c(a(x1)))
13.49/3.80	  b(a(c(x1))) -> a(a(a(x1)))
13.49/3.80	
13.49/3.80	Proof:
13.49/3.80	 Matrix Interpretation Processor: dim=1
13.49/3.80	  
13.49/3.80	  interpretation:
13.49/3.80	   [c](x0) = 2x0 + 1,
13.49/3.80	   
13.49/3.80	   [a](x0) = 2x0,
13.49/3.80	   
13.49/3.80	   [b](x0) = 2x0 + 2
13.49/3.80	  orientation:
13.49/3.80	   b(b(b(x1))) = 8x1 + 14 >= 8x1 + 10 = b(a(b(x1)))
13.49/3.80	   
13.49/3.80	   c(c(c(x1))) = 8x1 + 7 >= 8x1 + 5 = c(b(a(x1)))
13.49/3.80	   
13.49/3.80	   c(a(b(x1))) = 8x1 + 9 >= 8x1 + 6 = a(c(c(x1)))
13.49/3.80	   
13.49/3.80	   a(b(c(x1))) = 8x1 + 8 >= 8x1 + 8 = b(c(c(x1)))
13.49/3.80	   
13.49/3.80	   c(a(c(x1))) = 8x1 + 5 >= 8x1 + 2 = a(c(a(x1)))
13.49/3.80	   
13.49/3.80	   b(a(c(x1))) = 8x1 + 6 >= 8x1 = a(a(a(x1)))
13.49/3.80	  problem:
13.49/3.80	   strict:
13.49/3.80	    
13.49/3.80	   weak:
13.49/3.80	    a(b(c(x1))) -> b(c(c(x1)))
13.49/3.80	  Qed
13.49/3.81	EOF