0.00/0.53	YES
0.00/0.53	
0.00/0.53	Problem:
0.00/0.53	add(x, 0()) -> x
0.00/0.53	add(x, s(y)) -> s(add(x, y))
0.00/0.53	quad(x) -> z <= add(x, x) = y, add(y, y) = z
0.00/0.53	
0.00/0.53	Proof:
0.00/0.53	This system is confluent.
0.00/0.53	By \cite{GNG13}, Theorem 9.
0.00/0.53	This system is of type 3 or smaller.
0.00/0.53	This system is deterministic.
0.00/0.53	This system is weakly left-linear.
0.00/0.53	System R transformed to optimized U(R).
0.00/0.53	This system is orthogonal.
0.00/0.53	
0.00/0.82	EOF