0.00/0.83	YES
0.00/0.83	
0.00/0.83	Problem:
0.00/0.83	f(x) -> e() <= d() = l()
0.00/0.83	h(x, x) -> A()
0.00/0.83	
0.00/0.83	Proof:
0.00/0.83	This system is confluent.
0.00/0.83	By \cite{ALS94}, Theorem 4.1.
0.00/0.83	This system is of type 3 or smaller.
0.00/0.83	This system is strongly deterministic.
0.00/0.83	All 0 critical pairs are joinable.
0.00/0.83	This system is quasi-decreasing.
0.00/0.83	By \cite{A14}, Theorem 11.5.9.
0.00/0.83	This system is of type 3 or smaller.
0.00/0.83	This system is deterministic.
0.00/0.83	System R transformed to V(R) + Emb.
0.00/0.83	This system is terminating.
0.00/0.83	Call external tool:
0.00/0.83	./ttt2.sh
0.00/0.83	Input:
0.00/0.83	  f(x) -> e()
0.00/0.83	  f(x) -> d()
0.00/0.83	  h(x, x) -> A()
0.00/0.83	  h(x, y) -> x
0.00/0.83	  h(x, y) -> y
0.00/0.83	  f(x) -> x
0.00/0.83	
0.00/0.83	 Polynomial Interpretation Processor:
0.00/0.83	  dimension: 1
0.00/0.83	  interpretation:
0.00/0.83	   [A] = 0,
0.00/0.83	   
0.00/0.83	   [h](x0, x1) = x0 + 4x1 + 7x0x0 + 1,
0.00/0.83	   
0.00/0.83	   [d] = 0,
0.00/0.83	   
0.00/0.83	   [e] = 0,
0.00/0.83	   
0.00/0.83	   [f](x0) = x0 + 3
0.00/0.83	  orientation:
0.00/0.83	   f(x) = x + 3 >= 0 = e()
0.00/0.83	   
0.00/0.83	   f(x) = x + 3 >= 0 = d()
0.00/0.83	   
0.00/0.83	   h(x,x) = 5x + 7x*x + 1 >= 0 = A()
0.00/0.83	   
0.00/0.83	   h(x,y) = x + 7x*x + 4y + 1 >= x = x
0.00/0.83	   
0.00/0.83	   h(x,y) = x + 7x*x + 4y + 1 >= y = y
0.00/0.83	   
0.00/0.83	   f(x) = x + 3 >= x = x
0.00/0.83	  problem:
0.00/0.83	   
0.00/0.83	  Qed
0.00/0.83	
0.00/0.84	EOF