let R be the TRS under consideration app(app(iterate,_1),_2) -> app(app(cons,_2),app(app(iterate,_1),app(_1,_2))) is in elim_R(R) let l be the left-hand side and r be the right-hand side of this rule let p = 1 let theta = {} let theta' = {_1/_1, _2/app(_1,_2)} we have r|p = app(app(iterate,_1),app(_1,_2)) and theta'(theta(l)) = theta(r|p) so, theta(l) = app(app(iterate,_1),_2) 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