; Automatically generated by map2smt

(set-logic HORN)

(declare-datatypes ((listOfInt 0) )
(((cons-listOfInt (head-listOfInt Int) (tail-listOfInt listOfInt)) (nil-listOfInt))))



(declare-fun adt_new1 (listOfInt Bool) Bool)
(declare-fun leq (Int Int Bool) Bool)
(declare-fun take (Int listOfInt listOfInt) Bool)
(declare-fun ff () Bool)

(assert
  (forall ( (A Int) (B listOfInt) (C Bool) )
    (=>
      (= C false)
      (adt_new1 (cons-listOfInt A B) C)
    )
  )
)
(assert
  (forall ( (A Bool) )
    (=>
      (= A true)
      (adt_new1 nil-listOfInt A)
    )
  )
)
(assert
  (forall ( (A Int) )
    (take A nil-listOfInt nil-listOfInt)
  )
)
(assert
  (forall ( (A Int) (B listOfInt) )
    (=>
      (= A 0)
      (take A B nil-listOfInt)
    )
  )
)
(assert
  (forall ( (A Int) (B Int) (C listOfInt) (D listOfInt) (E Int) )
    (=>
      (and
        (= A (+ 1 E))
        (>= E 0)
        (take E C D)
      )
      (take A (cons-listOfInt B C) (cons-listOfInt B D))
    )
  )
)
(assert
  (forall ( (A Int) (B listOfInt) (C Int) (D listOfInt) )
    (=>
      (and
        (= A 0)
        (take A B (cons-listOfInt C D))
      )
      ff
    )
  )
)

(assert (not ff))
(check-sat)