1.53/1.08	YES
1.53/1.08	
1.53/1.08	Proof:
1.53/1.08	This system is confluent.
1.53/1.08	By \cite{ALS94}, Theorem 4.1.
1.53/1.08	This system is of type 3 or smaller.
1.53/1.08	This system is strongly deterministic.
1.53/1.08	This system is quasi-decreasing.
1.53/1.08	By \cite{A14}, Theorem 11.5.9.
1.53/1.08	This system is of type 3 or smaller.
1.53/1.08	This system is deterministic.
1.53/1.08	System R transformed to V(R) + Emb.
1.53/1.08	This system is terminating.
1.53/1.08	Call external tool:
1.53/1.08	./ttt2.sh
1.53/1.08	Input:
1.53/1.08	  f(x) -> a
1.53/1.08	  f(x) -> x
1.53/1.08	  f(x) -> x
1.53/1.08	
1.53/1.08	 Polynomial Interpretation Processor:
1.53/1.08	  dimension: 1
1.53/1.08	  interpretation:
1.53/1.08	   [a] = 0,
1.53/1.08	   
1.53/1.08	   [f](x0) = 2x0 + 5x0x0 + 1
1.53/1.08	  orientation:
1.53/1.08	   f(x) = 2x + 5x*x + 1 >= 0 = a()
1.53/1.08	   
1.53/1.08	   f(x) = 2x + 5x*x + 1 >= x = x
1.53/1.08	  problem:
1.53/1.08	   
1.53/1.08	  Qed
1.53/1.08	All 0 critical pairs are joinable.
1.53/1.08	
2.22/1.10	EOF