5.29/2.38	YES
5.29/2.38	
5.29/2.38	Proof:
5.29/2.38	This system is confluent.
5.29/2.38	By \cite{SMI95}, Corollary 4.7 or 5.3.
5.29/2.38	This system is oriented.
5.29/2.38	This system is of type 3 or smaller.
5.29/2.38	This system is right-stable.
5.29/2.38	This system is properly oriented.
5.29/2.38	This is an overlay system.
5.29/2.38	This system is left-linear.
5.29/2.38	All 2 critical pairs are trivial or infeasible.
5.29/2.38	Overlap: (rule1: f(z, x') -> h(z) <= c(h(z)) = c(a), rule2: f(y', z') -> g(y') <= c(g(y')) = c(a), pos: ε, mgu: {(z,y'), (x',z')})
5.29/2.38	CP: g(y') = h(y') <= c(h(y')) = c(a), c(g(y')) = c(a)
5.29/2.38	This critical pair is infeasible.
5.29/2.38	This critical pair is conditional.
5.29/2.38	This critical pair has some non-trivial conditions.
5.29/2.38	Call external tool:
5.29/2.38	./waldmeister
5.29/2.38	Input:
5.29/2.38	  f(x, y) -> g(x) <= c(g(x)) = c(a)
5.29/2.38	  f(x, y) -> h(x) <= c(h(x)) = c(a)
5.29/2.38	  g(s(x)) -> x
5.29/2.38	  h(s(x)) -> x
5.29/2.38	  b -> b
5.29/2.38	
5.29/2.38	By Waldmeister.
5.29/2.38	Overlap: (rule1: f(z, x') -> g(z) <= c(g(z)) = c(a), rule2: f(y', z') -> h(y') <= c(h(y')) = c(a), pos: ε, mgu: {(z,y'), (x',z')})
5.29/2.38	CP: h(y') = g(y') <= c(g(y')) = c(a), c(h(y')) = c(a)
5.29/2.38	This critical pair is infeasible.
5.29/2.38	This critical pair is conditional.
5.29/2.38	This critical pair has some non-trivial conditions.
5.29/2.38	Call external tool:
5.29/2.38	./waldmeister
5.29/2.38	Input:
5.29/2.38	  f(x, y) -> g(x) <= c(g(x)) = c(a)
5.29/2.38	  f(x, y) -> h(x) <= c(h(x)) = c(a)
5.29/2.38	  g(s(x)) -> x
5.29/2.38	  h(s(x)) -> x
5.29/2.38	  b -> b
5.29/2.38	
5.29/2.38	By Waldmeister.
5.29/2.38	
6.84/2.60	EOF