let R be the TRS under consideration g -> h 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 = h h -> g is in R let l'0 be the left-hand side of this rule theta0 = {} is a mgu of r0|p0 and l'0 ==> g -> g 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 = {} let theta' = {} we have r|p = g and theta'(theta(l)) = theta(r|p) so, theta(l) = g is non-terminating w.r.t. R Termination disproved by the forward process proof stopped at iteration i=1, depth k=0 3 rule(s) generated