0.00/0.86	YES
0.00/0.86	
0.00/0.86	Problem:
0.00/0.86	f(x, y) -> x <= g(x) = z, g(y) = z
0.00/0.86	g(x) -> c() <= d() = c()
0.00/0.86	
0.00/0.86	Proof:
0.00/0.86	This system is confluent.
0.00/0.86	By \cite{ALS94}, Theorem 4.1.
0.00/0.86	This system is of type 3 or smaller.
0.00/0.86	This system is strongly deterministic.
0.00/0.86	All 0 critical pairs are joinable.
0.00/0.86	This system is quasi-decreasing.
0.00/0.86	By \cite{A14}, Theorem 11.5.9.
0.00/0.86	This system is of type 3 or smaller.
0.00/0.86	This system is deterministic.
0.00/0.86	System R transformed to V(R) + Emb.
0.00/0.86	This system is terminating.
0.00/0.86	Call external tool:
0.00/0.86	./ttt2.sh
0.00/0.86	Input:
0.00/0.86	  f(x, y) -> x
0.00/0.86	  f(x, y) -> g(y)
0.00/0.86	  f(x, y) -> g(x)
0.00/0.86	  g(x) -> c()
0.00/0.86	  g(x) -> d()
0.00/0.86	  g(x) -> x
0.00/0.86	  f(x, y) -> x
0.00/0.86	  f(x, y) -> y
0.00/0.86	
0.00/0.86	 Polynomial Interpretation Processor:
0.00/0.86	  dimension: 1
0.00/0.86	  interpretation:
0.00/0.86	   [d] = 0,
0.00/0.86	   
0.00/0.86	   [c] = 0,
0.00/0.86	   
0.00/0.86	   [g](x0) = 3x0 + 1,
0.00/0.86	   
0.00/0.86	   [f](x0, x1) = 3x0 + 4x1 + 2
0.00/0.86	  orientation:
0.00/0.86	   f(x,y) = 3x + 4y + 2 >= x = x
0.00/0.86	   
0.00/0.86	   f(x,y) = 3x + 4y + 2 >= 3y + 1 = g(y)
0.00/0.86	   
0.00/0.86	   f(x,y) = 3x + 4y + 2 >= 3x + 1 = g(x)
0.00/0.86	   
0.00/0.86	   g(x) = 3x + 1 >= 0 = c()
0.00/0.86	   
0.00/0.86	   g(x) = 3x + 1 >= 0 = d()
0.00/0.86	   
0.00/0.86	   g(x) = 3x + 1 >= x = x
0.00/0.86	   
0.00/0.86	   f(x,y) = 3x + 4y + 2 >= y = y
0.00/0.86	  problem:
0.00/0.86	   
0.00/0.86	  Qed
0.00/0.86	
0.00/0.95	EOF