let R be the TRS under consideration 2ndspos(s(_1),cons(_2)) -> rcons(posrecip(_3),2ndsneg(_1,_4)) 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 = {_3/2ndspos(s(_1),cons(_2))} let theta' = {} we have r|p = _3 and theta'(theta(l)) = theta(r|p) so, theta(l) = 2ndspos(s(_1),cons(_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