0.00/0.80	YES
0.00/0.80	
0.00/0.80	Problem:
0.00/0.80	f(x) -> x <= x = a()
0.00/0.80	g(x) -> h(x, x)
0.00/0.80	h(x, y) -> i(x)
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{O02}, p. 214, Proposition 7.2.50.
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 U(R).
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	  ?1(a(), x) -> x
0.00/0.80	  f(x) -> ?1(x, x)
0.00/0.80	  g(x) -> h(x, x)
0.00/0.80	  h(x, y) -> i(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	   [i](x0) = 2x0,
0.00/0.80	   
0.00/0.80	   [h](x0, x1) = 2x0 + 2x1x1 + 4,
0.00/0.80	   
0.00/0.80	   [g](x0) = 4x0 + 2x0x0 + 5,
0.00/0.80	   
0.00/0.80	   [f](x0) = 7x0x0 + 1,
0.00/0.80	   
0.00/0.80	   [?1](x0, x1) = -6x0 + x1 + 7x0x0,
0.00/0.80	   
0.00/0.80	   [a] = 2
0.00/0.80	  orientation:
0.00/0.80	   ?1(a(),x) = x + 16 >= x = x
0.00/0.80	   
0.00/0.80	   f(x) = 7x*x + 1 >= -5x + 7x*x = ?1(x,x)
0.00/0.80	   
0.00/0.80	   g(x) = 4x + 2x*x + 5 >= 2x + 2x*x + 4 = h(x,x)
0.00/0.80	   
0.00/0.80	   h(x,y) = 2x + 2y*y + 4 >= 2x = i(x)
0.00/0.80	  problem:
0.00/0.80	   
0.00/0.80	  Qed
0.00/0.80	
0.00/0.83	EOF