5.42/1.90	YES
5.42/1.90	
5.42/1.90	Proof:
5.42/1.90	This system is confluent.
5.42/1.90	By \cite{SMI95}, Corollary 4.7 or 5.3.
5.42/1.90	This system is oriented.
5.42/1.90	This system is of type 3 or smaller.
5.42/1.90	This system is right-stable.
5.42/1.90	This system is properly oriented.
5.42/1.90	This is an overlay system.
5.42/1.90	This system is left-linear.
5.42/1.90	All 2 critical pairs are trivial or infeasible.
5.42/1.90	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: {(y',z), (z',x')})
5.42/1.90	CP: g(z) = h(z) <= c(h(z)) = c(a), c(g(z)) = c(a)
5.42/1.90	This critical pair is infeasible.
5.42/1.90	This critical pair is conditional.
5.42/1.90	This critical pair has some non-trivial conditions.
5.42/1.90	Call external tool:
5.42/1.90	./waldmeister
5.42/1.90	Input:
5.42/1.90	  f(x, y) -> g(x) <= c(g(x)) = c(a)
5.42/1.90	  f(x, y) -> h(x) <= c(h(x)) = c(a)
5.42/1.90	  g(s(x)) -> x
5.42/1.90	  h(s(x)) -> x
5.42/1.90	
5.42/1.90	By Waldmeister.
5.42/1.90	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: {(y',z), (z',x')})
5.42/1.90	CP: h(z) = g(z) <= c(g(z)) = c(a), c(h(z)) = c(a)
5.42/1.90	This critical pair is infeasible.
5.42/1.91	This critical pair is conditional.
5.42/1.91	This critical pair has some non-trivial conditions.
5.42/1.91	Call external tool:
5.42/1.91	./waldmeister
5.42/1.91	Input:
5.42/1.91	  f(x, y) -> g(x) <= c(g(x)) = c(a)
5.42/1.91	  f(x, y) -> h(x) <= c(h(x)) = c(a)
5.42/1.91	  g(s(x)) -> x
5.42/1.91	  h(s(x)) -> x
5.42/1.91	
5.42/1.91	By Waldmeister.
5.42/1.91	
5.69/1.97	EOF