1.26/1.08	YES
1.26/1.08	
1.26/1.08	Proof:
1.26/1.08	This system is confluent.
1.26/1.08	By \cite{ALS94}, Theorem 4.1.
1.26/1.08	This system is of type 3 or smaller.
1.26/1.08	This system is strongly deterministic.
1.26/1.08	This system is quasi-decreasing.
1.26/1.08	By \cite{A14}, Theorem 11.5.9.
1.26/1.08	This system is of type 3 or smaller.
1.26/1.08	This system is deterministic.
1.26/1.08	System R transformed to V(R) + Emb.
1.26/1.08	This system is terminating.
1.26/1.08	Call external tool:
1.26/1.08	./ttt2.sh
1.26/1.09	Input:
1.26/1.09	  f(x) -> x
1.26/1.09	  a -> b
1.26/1.09	  f(x) -> x
1.26/1.09	
1.26/1.09	 Polynomial Interpretation Processor:
1.26/1.09	  dimension: 1
1.26/1.09	  interpretation:
1.26/1.09	   [b] = 0,
1.26/1.09	   
1.26/1.09	   [a] = 1,
1.26/1.09	   
1.26/1.09	   [f](x0) = x0 + 4
1.26/1.09	  orientation:
1.26/1.09	   f(x) = x + 4 >= x = x
1.26/1.09	   
1.26/1.09	   a() = 1 >= 0 = b()
1.26/1.09	  problem:
1.26/1.09	   
1.26/1.09	  Qed
1.26/1.09	All 0 critical pairs are joinable.
1.26/1.09	
1.26/1.09	EOF