5.06/2.31	YES
5.06/2.31	
5.06/2.31	Proof:
5.06/2.33	This system is confluent.
5.06/2.33	By \cite{SMI95}, Corollary 4.7 or 5.3.
5.06/2.33	This system is oriented.
5.06/2.33	This system is of type 3 or smaller.
5.06/2.33	This system is right-stable.
5.06/2.33	This system is properly oriented.
5.06/2.33	This is an overlay system.
5.06/2.33	This system is left-linear.
5.06/2.33	All 2 critical pairs are trivial or infeasible.
5.06/2.33	Overlap: (rule1: f(z, x') -> h(s(z)) <= c(h(z)) = c(a), rule2: f(y', z') -> g(s(y')) <= c(g(y')) = c(a), pos: ε, mgu: {(z,y'), (x',z')})
5.06/2.33	CP: g(s(y')) = h(s(y')) <= c(h(y')) = c(a), c(g(y')) = c(a)
5.06/2.33	This critical pair is infeasible.
5.06/2.33	This critical pair is conditional.
5.06/2.33	This critical pair has some non-trivial conditions.
5.06/2.33	Call external tool:
5.06/2.33	./waldmeister
5.06/2.33	Input:
5.06/2.33	  f(x, y) -> g(s(x)) <= c(g(x)) = c(a)
5.06/2.33	  f(x, y) -> h(s(x)) <= c(h(x)) = c(a)
5.06/2.33	  g(s(x)) -> x
5.06/2.33	  h(s(x)) -> x
5.06/2.33	  b -> b
5.06/2.33	
5.06/2.34	By Waldmeister.
5.06/2.34	Overlap: (rule1: f(z, x') -> g(s(z)) <= c(g(z)) = c(a), rule2: f(y', z') -> h(s(y')) <= c(h(y')) = c(a), pos: ε, mgu: {(z,y'), (x',z')})
5.06/2.34	CP: h(s(y')) = g(s(y')) <= c(g(y')) = c(a), c(h(y')) = c(a)
5.06/2.34	This critical pair is infeasible.
5.06/2.34	This critical pair is conditional.
5.06/2.34	This critical pair has some non-trivial conditions.
5.06/2.34	Call external tool:
5.06/2.34	./waldmeister
5.06/2.34	Input:
5.06/2.34	  f(x, y) -> g(s(x)) <= c(g(x)) = c(a)
5.06/2.34	  f(x, y) -> h(s(x)) <= c(h(x)) = c(a)
5.06/2.34	  g(s(x)) -> x
5.06/2.34	  h(s(x)) -> x
5.06/2.34	  b -> b
5.06/2.34	
5.06/2.34	By Waldmeister.
5.06/2.34	
6.62/2.56	EOF