let R be the TRS under consideration f(_1) -> g(h(f(_1))) is in elim_R(R) let l be the left-hand side and r be the right-hand side of this rule let p = 0.0 let theta = {} let theta' = {} we have r|p = f(_1) and theta'(theta(l)) = theta(r|p) so, theta(l) = f(_1) is non-terminating w.r.t. R Termination disproved by the forward process proof stopped at iteration i=0, depth k=0 1 rule(s) generated