0.00/0.80	YES
0.00/0.80	
0.00/0.80	Problem:
0.00/0.80	f(x) -> b() <= g(x, x) = a()
0.00/0.80	
0.00/0.80	Proof:
0.00/0.80	This system is confluent.
0.00/0.80	By \cite{ALS94}, Theorem 4.1.
0.00/0.80	This system is of type 3 or smaller.
0.00/0.80	This system is strongly deterministic.
0.00/0.80	All 0 critical pairs are joinable.
0.00/0.80	This system is quasi-decreasing.
0.00/0.80	By \cite{A14}, Theorem 11.5.9.
0.00/0.80	This system is of type 3 or smaller.
0.00/0.80	This system is deterministic.
0.00/0.80	System R transformed to V(R) + Emb.
0.00/0.80	This system is terminating.
0.00/0.80	Call external tool:
0.00/0.80	./ttt2.sh
0.00/0.80	Input:
0.00/0.80	  f(x) -> b()
0.00/0.80	  f(x) -> g(x, x)
0.00/0.80	  g(x, y) -> x
0.00/0.80	  g(x, y) -> y
0.00/0.80	  f(x) -> x
0.00/0.80	
0.00/0.80	 Polynomial Interpretation Processor:
0.00/0.80	  dimension: 1
0.00/0.80	  interpretation:
0.00/0.80	   [g](x0, x1) = x0 + x1 + 2x0x0 + 3x1x1 + 1,
0.00/0.80	   
0.00/0.80	   [b] = 0,
0.00/0.80	   
0.00/0.80	   [f](x0) = 2x0 + 5x0x0 + 7
0.00/0.80	  orientation:
0.00/0.80	   f(x) = 2x + 5x*x + 7 >= 0 = b()
0.00/0.80	   
0.00/0.80	   f(x) = 2x + 5x*x + 7 >= 2x + 5x*x + 1 = g(x,x)
0.00/0.80	   
0.00/0.80	   g(x,y) = x + 2x*x + y + 3y*y + 1 >= x = x
0.00/0.80	   
0.00/0.80	   g(x,y) = x + 2x*x + y + 3y*y + 1 >= y = y
0.00/0.80	   
0.00/0.80	   f(x) = 2x + 5x*x + 7 >= x = x
0.00/0.80	  problem:
0.00/0.80	   
0.00/0.80	  Qed
0.00/0.80	
0.00/0.85	EOF