9.42/3.23	YES
9.42/3.23	
9.42/3.24	Proof:
9.42/3.24	This system is confluent.
9.42/3.24	By \cite{SMI95}, Corollary 4.7 or 5.3.
9.42/3.24	This system is oriented.
9.42/3.24	This system is of type 3 or smaller.
9.42/3.24	This system is right-stable.
9.42/3.24	This system is properly oriented.
9.42/3.24	This is an overlay system.
9.42/3.24	This system is left-linear.
9.42/3.24	All 2 critical pairs are trivial or infeasible.
9.42/3.24	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')})
9.42/3.24	CP: g(y') = h(y') <= c(h(y')) = c(a), c(g(y')) = c(a)
9.42/3.24	This critical pair is infeasible.
9.42/3.24	This critical pair is conditional.
9.42/3.24	This critical pair has some non-trivial conditions.
9.42/3.24	Call external tool:
9.42/3.24	./waldmeister
9.42/3.24	Input:
9.42/3.24	  f(x, y) -> g(x) <= c(g(x)) = c(a)
9.42/3.24	  f(x, y) -> h(x) <= c(h(x)) = c(a)
9.42/3.24	  g(s(x)) -> x
9.42/3.24	  h(s(x)) -> x
9.42/3.24	
9.42/3.24	By Waldmeister.
9.42/3.24	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')})
9.42/3.24	CP: h(y') = g(y') <= c(g(y')) = c(a), c(h(y')) = c(a)
9.42/3.24	This critical pair is infeasible.
9.42/3.24	This critical pair is conditional.
9.42/3.24	This critical pair has some non-trivial conditions.
9.42/3.24	Call external tool:
9.42/3.24	./waldmeister
9.42/3.24	Input:
9.42/3.24	  f(x, y) -> g(x) <= c(g(x)) = c(a)
9.42/3.24	  f(x, y) -> h(x) <= c(h(x)) = c(a)
9.42/3.24	  g(s(x)) -> x
9.42/3.24	  h(s(x)) -> x
9.42/3.24	
9.42/3.24	By Waldmeister.
9.42/3.24	
9.59/3.26	EOF