6.35/2.47	YES
6.35/2.47	
6.35/2.47	Proof:
6.35/2.47	This system is confluent.
6.35/2.47	By \cite{SMI95}, Corollary 4.7 or 5.3.
6.35/2.47	This system is oriented.
6.35/2.47	This system is of type 3 or smaller.
6.35/2.47	This system is right-stable.
6.35/2.47	This system is properly oriented.
6.35/2.47	This is an overlay system.
6.35/2.47	This system is left-linear.
6.35/2.47	All 2 critical pairs are trivial or infeasible.
6.35/2.47	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')})
6.35/2.47	CP: g(y') = h(y') <= c(h(y')) = c(a), c(g(y')) = c(a)
6.35/2.47	This critical pair is infeasible.
6.35/2.47	This critical pair is conditional.
6.35/2.47	This critical pair has some non-trivial conditions.
6.35/2.47	Call external tool:
6.35/2.47	./waldmeister
6.35/2.47	Input:
6.35/2.47	  f(x, y) -> g(x) <= c(g(x)) = c(a)
6.35/2.47	  f(x, y) -> h(x) <= c(h(x)) = c(a)
6.35/2.47	  g(s(x)) -> x
6.35/2.47	  h(s(x)) -> x
6.35/2.47	  b -> b
6.35/2.47	
6.35/2.47	By Waldmeister.
6.35/2.47	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')})
6.35/2.47	CP: h(y') = g(y') <= c(g(y')) = c(a), c(h(y')) = c(a)
6.35/2.47	This critical pair is infeasible.
6.35/2.47	This critical pair is conditional.
6.35/2.47	This critical pair has some non-trivial conditions.
6.35/2.47	Call external tool:
6.35/2.47	./waldmeister
6.35/2.47	Input:
6.35/2.47	  f(x, y) -> g(x) <= c(g(x)) = c(a)
6.35/2.47	  f(x, y) -> h(x) <= c(h(x)) = c(a)
6.35/2.47	  g(s(x)) -> x
6.35/2.47	  h(s(x)) -> x
6.35/2.47	  b -> b
6.35/2.47	
6.35/2.47	By Waldmeister.
6.35/2.47	
6.43/2.60	EOF