let R be the TRS under consideration

h(_1,_2) -> f(_1,s(_1),_2) is in elim_R(R)
let r0 be the right-hand side of this rule
p0 = epsilon is a position in r0
we have r0|p0 = f(_1,s(_1),_2)
f(_3,_4,g(_3,_4)) -> h(0,g(_3,_4)) is in R
let l'0 be the left-hand side of this rule
theta0 = {_1/_3, _2/g(_3,s(_3)), _4/s(_3)} is a mgu of r0|p0 and l'0

==> h(_1,g(_1,s(_1))) -> h(0,g(_1,s(_1))) is in EU_R^1
let l be the left-hand side and r be the right-hand side of this rule
let p = epsilon
let theta = {_1/0}
let theta' = {}
we have r|p = h(0,g(_1,s(_1))) and
theta'(theta(l)) = theta(r|p)
so, theta(l) = h(0,g(0,s(0))) is non-terminating w.r.t. R

Termination disproved by the forward process
proof stopped at iteration i=1, depth k=2
4 rule(s) generated