3.96/1.90	YES
3.96/1.91	
3.96/1.91	Proof:
3.96/1.91	This system is confluent.
3.96/1.91	By \cite{ALS94}, Theorem 4.1.
3.96/1.91	This system is of type 3 or smaller.
3.96/1.91	This system is strongly deterministic.
3.96/1.91	This system is quasi-decreasing.
3.96/1.91	By \cite{A14}, Theorem 11.5.9.
3.96/1.91	This system is of type 3 or smaller.
3.96/1.91	This system is deterministic.
3.96/1.91	System R transformed to V(R) + Emb.
3.96/1.91	This system is terminating.
3.96/1.91	Call external tool:
3.96/1.91	./ttt2.sh
3.96/1.91	Input:
3.96/1.91	(VAR x)
3.96/1.91	(RULES
3.96/1.91	  f(x) -> a
3.96/1.91	  f(x) -> b
3.96/1.91	  f(x) -> x
3.96/1.91	)
3.96/1.91	
3.96/1.91	 Polynomial Interpretation Processor:
3.96/1.91	  dimension: 1
3.96/1.91	  interpretation:
3.96/1.91	   [b] = 0,
3.96/1.91	   
3.96/1.91	   [a] = 0,
3.96/1.91	   
3.96/1.91	   [f](x0) = 4x0 + 1
3.96/1.91	  orientation:
3.96/1.91	   f(x) = 4x + 1 >= 0 = a()
3.96/1.91	   
3.96/1.91	   f(x) = 4x + 1 >= 0 = b()
3.96/1.91	   
3.96/1.91	   f(x) = 4x + 1 >= x = x
3.96/1.91	  problem:
3.96/1.91	   
3.96/1.91	  Qed
3.96/1.91	All 2 critical pairs are joinable.
3.96/1.91	Overlap: (rule1: f(y) -> b <= b = y, rule2: f(z) -> a <= a = z, pos: ε, mgu: {(y,z)})
3.96/1.91	CP: a = b <= b = z, a = z
3.96/1.91	This critical pair is context-joinable.
3.96/1.91	Overlap: (rule1: f(y) -> a <= a = y, rule2: f(z) -> b <= b = z, pos: ε, mgu: {(y,z)})
3.96/1.91	CP: b = a <= a = z, b = z
3.96/1.91	This critical pair is context-joinable.
3.96/1.91	
3.96/1.93	EOF