(meta-info (comment "Ctrl example from examples-transformed/student/sum12.ctrs"))
(format LCTRS :logic QF_LIA)
(fun v 3 :sort (Int Int Int Result))
(fun return 1 :sort (Int Result))
(fun u 3 :sort (Int Int Int Result))
(fun sum1 1 :sort (Int Result))

(rule (v n i s) (return s) :guard (not (> (- n i) 0)) :vars ((n Int) (i Int) (s Int)))
(rule (v n i s) (v n (+ i 1) (+ s (- n i))) :guard (> (- n i) 0) :vars ((n Int) (i Int) (s Int)))
(rule (u n i s) (v n 0 s) :guard (> n 0) :vars ((n Int) (i Int) (s Int)))
(rule (u n i s) (return 0) :guard (<= n 0) :vars ((n Int) (i Int) (s Int)))
(rule (sum1 n) (u n rnd 0) :vars ((n Int) (rnd Int)))
