0.00/0.78	YES
0.00/0.78	
0.00/0.78	Problem:
0.00/0.78	f(x) -> x <= x = b()
0.00/0.78	a() -> b()
0.00/0.78	
0.00/0.78	Proof:
0.00/0.78	This system is confluent.
0.00/0.78	By \cite{ALS94}, Theorem 4.1.
0.00/0.78	This system is of type 3 or smaller.
0.00/0.78	This system is strongly deterministic.
0.00/0.78	All 0 critical pairs are joinable.
0.00/0.78	This system is quasi-decreasing.
0.00/0.78	By \cite{A14}, Theorem 11.5.9.
0.00/0.78	This system is of type 3 or smaller.
0.00/0.78	This system is deterministic.
0.00/0.78	System R transformed to V(R) + Emb.
0.00/0.78	This system is terminating.
0.00/0.78	Call external tool:
0.00/0.78	./ttt2.sh
0.00/0.78	Input:
0.00/0.78	  f(x) -> x
0.00/0.78	  a() -> b()
0.00/0.78	  f(x) -> x
0.00/0.78	
0.00/0.78	 Polynomial Interpretation Processor:
0.00/0.78	  dimension: 1
0.00/0.78	  interpretation:
0.00/0.78	   [b] = 0,
0.00/0.78	   
0.00/0.78	   [a] = 1,
0.00/0.78	   
0.00/0.78	   [f](x0) = x0 + 4
0.00/0.78	  orientation:
0.00/0.78	   f(x) = x + 4 >= x = x
0.00/0.78	   
0.00/0.78	   a() = 1 >= 0 = b()
0.00/0.78	  problem:
0.00/0.78	   
0.00/0.78	  Qed
0.00/0.78	
0.00/0.80	EOF