2.15/1.13	YES
2.15/1.13	
2.15/1.13	Proof:
2.15/1.13	This system is confluent.
2.15/1.13	By \cite{ALS94}, Theorem 4.1.
2.15/1.13	This system is of type 3 or smaller.
2.15/1.13	This system is strongly deterministic.
2.15/1.13	This system is quasi-decreasing.
2.15/1.13	By \cite{O02}, p. 214, Proposition 7.2.50.
2.15/1.13	This system is of type 3 or smaller.
2.15/1.13	This system is deterministic.
2.15/1.13	System R transformed to optimized U(R).
2.15/1.13	This system is terminating.
2.15/1.13	Call external tool:
2.15/1.13	./ttt2.sh
2.15/1.13	Input:
2.15/1.13	  f(x) -> ?1(d, x)
2.15/1.13	  ?1(l, x) -> e
2.15/1.13	  h(x, x) -> A
2.15/1.13	
2.15/1.13	 Polynomial Interpretation Processor:
2.15/1.13	  dimension: 1
2.15/1.13	  interpretation:
2.15/1.13	   [A] = 0,
2.15/1.13	   
2.15/1.13	   [h](x0, x1) = 3x0 + 4x1 + x0x0 + 4,
2.15/1.13	   
2.15/1.13	   [e] = 0,
2.15/1.13	   
2.15/1.13	   [l] = 1,
2.15/1.13	   
2.15/1.13	   [?1](x0, x1) = x0 + 2x1 + x1x1 + 3,
2.15/1.13	   
2.15/1.13	   [d] = 0,
2.15/1.13	   
2.15/1.13	   [f](x0) = 2x0 + 2x0x0 + 4
2.15/1.13	  orientation:
2.15/1.13	   f(x) = 2x + 2x*x + 4 >= 2x + x*x + 3 = ?1(d(),x)
2.15/1.13	   
2.15/1.13	   ?1(l(),x) = 2x + x*x + 4 >= 0 = e()
2.15/1.13	   
2.15/1.13	   h(x,x) = 7x + x*x + 4 >= 0 = A()
2.15/1.13	  problem:
2.15/1.13	   
2.15/1.13	  Qed
2.15/1.13	All 0 critical pairs are joinable.
2.15/1.13	
2.15/1.15	EOF