; 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 less (Int Int Bool) Bool)
(declare-fun len (listOfInt Int) Bool)
(declare-fun last (listOfInt Int) Bool)
(declare-fun drop (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) (B Int) (C Bool) )
    (=>
      (and
        (= C true)
        (>= A 0)
        (<= A B)
      )
      (leq A B C)
    )
  )
)
(assert
  (forall ( (A Int) (B Int) (C Bool) )
    (=>
      (and
        (= C false)
        (>= A (+ B 1))
        (>= B 0)
      )
      (leq A B C)
    )
  )
)
(assert
  (forall ( (A Int) )
    (=>
      (= A 0)
      (len nil-listOfInt A)
    )
  )
)
(assert
  (forall ( (A Int) (B listOfInt) (C Int) (D Int) )
    (=>
      (and
        (= C (+ 1 D))
        (len B D)
      )
      (len (cons-listOfInt A B) C)
    )
  )
)
(assert
  (forall ( (A Int) (B Int) (C Bool) )
    (=>
      (and
        (= C true)
        (>= A 0)
        (>= (- B A) 1)
      )
      (less A B C)
    )
  )
)
(assert
  (forall ( (A Int) (B Int) (C Bool) )
    (=>
      (and
        (= C false)
        (<= (- B A) 0)
        (>= B 0)
      )
      (less A B C)
    )
  )
)
(assert
  (forall ( (A Int) )
    (last (cons-listOfInt A nil-listOfInt) A)
  )
)
(assert
  (forall ( (A Int) (B Int) (C listOfInt) (D Int) )
    (=>
      (last (cons-listOfInt B C) D)
      (last (cons-listOfInt A (cons-listOfInt B C)) D)
    )
  )
)
(assert
  (forall ( (A Int) )
    (drop A nil-listOfInt nil-listOfInt)
  )
)
(assert
  (forall ( (A Int) (B listOfInt) )
    (=>
      (= A 0)
      (drop A B B)
    )
  )
)
(assert
  (forall ( (A Int) (B Int) (C listOfInt) (D listOfInt) (E Int) )
    (=>
      (and
        (= A (+ 1 E))
        (>= E 0)
        (drop E C D)
      )
      (drop A (cons-listOfInt B C) D)
    )
  )
)
(assert
  (forall ( (A Int) (B Int) (C Int) (D Int) (E listOfInt) (F listOfInt) )
    (=>
      (and
        (>= A 0)
        (>= (- B C) 1)
        (<= A (- D 1))
        (len E D)
        (drop A E F)
        (last F B)
        (last E C)
      )
      ff
    )
  )
)
(assert
  (forall ( (A Int) (B Int) (C Int) (D Int) (E listOfInt) (F listOfInt) )
    (=>
      (and
        (>= A 0)
        (<= (- B C) (- 1))
        (<= A (- D 1))
        (len E D)
        (drop A E F)
        (last F B)
        (last E C)
      )
      ff
    )
  )
)

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