4.49/1.70	YES
4.49/1.70	
4.49/1.70	Proof:
4.49/1.70	This system is confluent.
4.49/1.70	By \cite{SMI95}, Corollary 4.7 or 5.3.
4.49/1.70	This system is oriented.
4.49/1.70	This system is of type 3 or smaller.
4.49/1.70	This system is right-stable.
4.49/1.70	This system is properly oriented.
4.49/1.70	This is an overlay system.
4.49/1.70	This system is left-linear.
4.49/1.70	All 2 critical pairs are trivial or infeasible.
4.49/1.70	Overlap: (rule1: f(z, x') -> h(s(z)) <= c(h(z)) = c(a), rule2: f(y', z') -> g(s(y')) <= c(g(y')) = c(a), pos: ε, mgu: {(y',z), (z',x')})
4.49/1.70	CP: g(s(z)) = h(s(z)) <= c(h(z)) = c(a), c(g(z)) = c(a)
4.49/1.70	This critical pair is infeasible.
4.49/1.70	This critical pair is conditional.
4.49/1.70	This critical pair has some non-trivial conditions.
4.49/1.70	Call external tool:
4.49/1.70	./waldmeister
4.49/1.70	Input:
4.49/1.70	  f(x, y) -> g(s(x)) <= c(g(x)) = c(a)
4.49/1.70	  f(x, y) -> h(s(x)) <= c(h(x)) = c(a)
4.49/1.70	  g(s(x)) -> x
4.49/1.70	  h(s(x)) -> x
4.49/1.70	
4.49/1.70	By Waldmeister.
4.49/1.70	Overlap: (rule1: f(z, x') -> g(s(z)) <= c(g(z)) = c(a), rule2: f(y', z') -> h(s(y')) <= c(h(y')) = c(a), pos: ε, mgu: {(y',z), (z',x')})
4.49/1.70	CP: h(s(z)) = g(s(z)) <= c(g(z)) = c(a), c(h(z)) = c(a)
4.49/1.70	This critical pair is infeasible.
4.49/1.70	This critical pair is conditional.
4.49/1.70	This critical pair has some non-trivial conditions.
4.49/1.70	Call external tool:
4.49/1.70	./waldmeister
4.49/1.70	Input:
4.49/1.70	  f(x, y) -> g(s(x)) <= c(g(x)) = c(a)
4.49/1.70	  f(x, y) -> h(s(x)) <= c(h(x)) = c(a)
4.49/1.70	  g(s(x)) -> x
4.49/1.70	  h(s(x)) -> x
4.49/1.70	
4.49/1.70	By Waldmeister.
4.49/1.70	
4.49/1.73	EOF