(qualif Bar ((v int)) (v >= 0)) (var $k_##1 ((int) (int))) (constraint (and (forall ((n int) (true)) (forall ((cond bool) (cond <=> n <= 0)) (and (forall ((lq_tmp$grd##4 bool) (cond)) (forall ((VV int) (VV == 0)) (($k_##1 VV n)))) (forall ((lq_tmp$grd##4 bool) (not cond)) (forall ((n1 int) (n1 == n - 1)) (forall ((t1 int) ($k_##1 t1 n1)) (forall ((v int) (v == n + t1)) (($k_##1 v n1))))))))) (forall ((y int) (true)) (forall ((r int) ($k_##1 r y)) (forall ((ok1 bool) (ok1 <=> 0 <= r)) (forall ((v bool) (and (v <=> 0 <= r) (v == ok1))) ((v))))))))