1.93/1.61	YES
1.93/1.61	
1.93/1.61	Proof:
1.93/1.62	This system is confluent.
1.93/1.62	By \cite{ALS94}, Theorem 4.1.
1.93/1.62	This system is of type 3 or smaller.
1.93/1.62	This system is strongly deterministic.
1.93/1.62	This system is quasi-decreasing.
1.93/1.62	By \cite{A14}, Theorem 11.5.9.
1.93/1.62	This system is of type 3 or smaller.
1.93/1.62	This system is deterministic.
1.93/1.62	System R transformed to V(R) + Emb.
1.93/1.62	This system is terminating.
1.93/1.62	Call external tool:
1.93/1.62	./ttt2.sh
1.93/1.62	Input:
1.93/1.62	(VAR x)
1.93/1.62	(RULES
1.93/1.62	  f(x) -> x
1.93/1.62	  a -> b
1.93/1.62	  b -> c
1.93/1.62	  f(x) -> x
1.93/1.62	)
1.93/1.62	
1.93/1.62	 Polynomial Interpretation Processor:
1.93/1.62	  dimension: 1
1.93/1.62	  interpretation:
1.93/1.62	   [c] = 0,
1.93/1.62	   
1.93/1.62	   [b] = 4,
1.93/1.62	   
1.93/1.62	   [a] = 5,
1.93/1.62	   
1.93/1.62	   [f](x0) = x0 + 4
1.93/1.62	  orientation:
1.93/1.62	   f(x) = x + 4 >= x = x
1.93/1.62	   
1.93/1.62	   a() = 5 >= 4 = b()
1.93/1.62	   
1.93/1.62	   b() = 4 >= 0 = c()
1.93/1.62	  problem:
1.93/1.62	   
1.93/1.62	  Qed
1.93/1.62	All 0 critical pairs are joinable.
1.93/1.62	
1.93/1.64	EOF