2.89/1.69	YES
2.89/1.69	
2.89/1.69	Proof:
2.89/1.69	This system is confluent.
2.89/1.69	By \cite{ALS94}, Theorem 4.1.
2.89/1.69	This system is of type 3 or smaller.
2.89/1.69	This system is strongly deterministic.
2.89/1.69	This system is quasi-decreasing.
2.89/1.69	By \cite{O02}, p. 214, Proposition 7.2.50.
2.89/1.69	This system is of type 3 or smaller.
2.89/1.69	This system is deterministic.
2.89/1.69	System R transformed to U(R).
2.89/1.69	This system is terminating.
2.89/1.69	Call external tool:
2.89/1.69	./ttt2.sh
2.89/1.69	Input:
2.89/1.69	(VAR x)
2.89/1.69	(RULES
2.89/1.69	  a -> c
2.89/1.69	  b -> c
2.89/1.69	  ?1(x, x) -> x
2.89/1.69	  f(x) -> ?1(a, x)
2.89/1.69	)
2.89/1.69	
2.89/1.69	 Polynomial Interpretation Processor:
2.89/1.69	  dimension: 1
3.14/1.70	  interpretation:
3.14/1.70	   [f](x0) = 2x0 + 6x0x0 + 7,
3.14/1.70	   
3.14/1.70	   [?1](x0, x1) = x0 + 4x1x1 + 1,
3.14/1.70	   
3.14/1.70	   [b] = 1,
3.14/1.70	   
3.14/1.70	   [c] = 0,
3.14/1.70	   
3.14/1.70	   [a] = 5
3.14/1.70	  orientation:
3.14/1.70	   a() = 5 >= 0 = c()
3.14/1.70	   
3.14/1.70	   b() = 1 >= 0 = c()
3.14/1.70	   
3.14/1.70	   ?1(x,x) = x + 4x*x + 1 >= x = x
3.14/1.70	   
3.14/1.70	   f(x) = 2x + 6x*x + 7 >= 4x*x + 6 = ?1(a(),x)
3.14/1.70	  problem:
3.14/1.70	   
3.14/1.70	  Qed
3.14/1.70	All 0 critical pairs are joinable.
3.14/1.70	
3.14/1.73	EOF