2.68/1.23	YES
2.68/1.23	
2.68/1.23	Proof:
2.68/1.23	This system is confluent.
2.68/1.23	By \cite{SMI95}, Corollary 4.7 or 5.3.
2.68/1.23	This system is oriented.
2.68/1.23	This system is of type 3 or smaller.
2.68/1.23	This system is right-stable.
2.68/1.23	This system is properly oriented.
2.68/1.23	This is an overlay system.
2.68/1.23	This system is left-linear.
2.68/1.23	All 2 critical pairs are trivial or infeasible.
2.68/1.23	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')})
2.68/1.23	CP: g(z) = h(z) <= c(h(z)) = c(a), c(g(z)) = c(a)
2.68/1.23	This critical pair is infeasible.
2.68/1.23	This critical pair is conditional.
2.68/1.23	This critical pair has some non-trivial conditions.
2.68/1.23	Call external tool:
2.68/1.23	./waldmeister
2.68/1.23	Input:
2.68/1.23	  f(x, y) -> g(x) <= c(g(x)) = c(a)
2.68/1.23	  f(x, y) -> h(x) <= c(h(x)) = c(a)
2.68/1.23	  g(s(x)) -> x
2.68/1.23	  h(s(x)) -> x
2.68/1.23	  b -> b
2.68/1.23	
2.68/1.23	By Waldmeister.
2.68/1.23	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')})
2.68/1.23	CP: h(z) = g(z) <= c(g(z)) = c(a), c(h(z)) = c(a)
2.68/1.23	This critical pair is infeasible.
2.68/1.23	This critical pair is conditional.
2.68/1.23	This critical pair has some non-trivial conditions.
2.68/1.23	Call external tool:
2.68/1.23	./waldmeister
2.68/1.23	Input:
2.68/1.23	  f(x, y) -> g(x) <= c(g(x)) = c(a)
2.68/1.23	  f(x, y) -> h(x) <= c(h(x)) = c(a)
2.68/1.23	  g(s(x)) -> x
2.68/1.23	  h(s(x)) -> x
2.68/1.23	  b -> b
2.68/1.23	
2.68/1.23	By Waldmeister.
2.68/1.23	
3.75/1.59	EOF