1.99/1.64	YES
1.99/1.64	
1.99/1.64	Proof:
1.99/1.64	This system is confluent.
1.99/1.64	By \cite{ALS94}, Theorem 4.1.
1.99/1.64	This system is of type 3 or smaller.
1.99/1.64	This system is strongly deterministic.
1.99/1.64	This system is quasi-decreasing.
1.99/1.64	By \cite{A14}, Theorem 11.5.9.
1.99/1.64	This system is of type 3 or smaller.
1.99/1.64	This system is deterministic.
1.99/1.64	System R transformed to V(R) + Emb.
1.99/1.64	This system is terminating.
1.99/1.64	Call external tool:
1.99/1.64	./ttt2.sh
1.99/1.64	Input:
1.99/1.64	(VAR x)
1.99/1.64	(RULES
1.99/1.64	  f(x) -> a
1.99/1.64	  f(x) -> x
1.99/1.64	  f(x) -> x
1.99/1.64	)
1.99/1.64	
1.99/1.64	 Polynomial Interpretation Processor:
1.99/1.64	  dimension: 1
1.99/1.64	  interpretation:
1.99/1.64	   [a] = 0,
1.99/1.65	   
1.99/1.65	   [f](x0) = 2x0 + 5x0x0 + 1
1.99/1.65	  orientation:
1.99/1.65	   f(x) = 2x + 5x*x + 1 >= 0 = a()
1.99/1.65	   
1.99/1.65	   f(x) = 2x + 5x*x + 1 >= x = x
1.99/1.65	  problem:
1.99/1.65	   
1.99/1.65	  Qed
1.99/1.65	All 0 critical pairs are joinable.
1.99/1.65	
3.18/1.68	EOF