let R be the TRS under consideration U101(tt) -> fst(splitAt(_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 = 0.0 let theta = {_1/U101(tt)} let theta' = {} we have r|p = _1 and theta'(theta(l)) = theta(r|p) so, theta(l) = U101(tt) is non-terminating w.r.t. R Termination disproved by the backward process proof stopped at iteration i=0, depth k=0 1 rule(s) generated