3.16/1.62	YES
3.16/1.62	
3.16/1.62	Proof:
3.16/1.62	This system is confluent.
3.16/1.62	By \cite{ALS94}, Theorem 4.1.
3.16/1.62	This system is of type 3 or smaller.
3.16/1.62	This system is strongly deterministic.
3.16/1.62	This system is quasi-decreasing.
3.16/1.62	By \cite{O02}, p. 214, Proposition 7.2.50.
3.16/1.62	This system is of type 3 or smaller.
3.16/1.62	This system is deterministic.
3.16/1.62	System R transformed to optimized U(R).
3.16/1.62	This system is terminating.
3.16/1.62	Call external tool:
3.16/1.62	./ttt2.sh
3.16/1.62	Input:
3.16/1.62	(VAR x y)
3.16/1.62	(RULES
3.16/1.62	  f(x) -> ?1(x, x)
3.16/1.62	  ?1(y, x) -> g(y)
3.16/1.62	)
3.16/1.62	
3.16/1.62	 Polynomial Interpretation Processor:
3.16/1.62	  dimension: 1
3.16/1.62	  interpretation:
3.16/1.62	   [g](x0) = -2x0 + 3x0x0,
3.16/1.62	   
3.16/1.62	   [?1](x0, x1) = -2x0 + 4x0x0 + x1x1 + 4,
3.16/1.62	   
3.16/1.62	   [f](x0) = 5x0x0 + 5
3.16/1.62	  orientation:
3.16/1.62	   f(x) = 5x*x + 5 >= -2x + 5x*x + 4 = ?1(x,x)
3.16/1.62	   
3.16/1.62	   ?1(y,x) = x*x + -2y + 4y*y + 4 >= -2y + 3y*y = g(y)
3.16/1.62	  problem:
3.16/1.62	   
3.16/1.63	  Qed
3.16/1.63	All 0 critical pairs are joinable.
3.16/1.63	
3.16/1.67	EOF