; Automatically generated by map2smt

(set-logic HORN)

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



(declare-fun leq (Int Int Bool) Bool)
(declare-fun len (listOfInt Int) Bool)
(declare-fun append (listOfInt listOfInt listOfInt) Bool)
(declare-fun ff () Bool)

(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 listOfInt) )
    (append nil-listOfInt A A)
  )
)
(assert
  (forall ( (A Int) (B listOfInt) (C listOfInt) (D listOfInt) )
    (=>
      (append B C D)
      (append (cons-listOfInt A B) C (cons-listOfInt A D))
    )
  )
)
(assert
  (forall ( (A Int) (B Int) (C Int) (D listOfInt) (E Int) (F Int) (G listOfInt) (H listOfInt) (I listOfInt) )
    (=>
      (and
        (= A (+ (- 2) B))
        (<= (- C B) (- 1))
        (append D (cons-listOfInt E (cons-listOfInt F G)) H)
        (len H C)
        (append D G I)
        (len I A)
      )
      ff
    )
  )
)
(assert
  (forall ( (A Int) (B Int) (C Int) (D listOfInt) (E Int) (F Int) (G listOfInt) (H listOfInt) (I listOfInt) )
    (=>
      (and
        (= A (+ (- 2) B))
        (>= (- C B) 1)
        (append D (cons-listOfInt E (cons-listOfInt F G)) H)
        (len H C)
        (append D G I)
        (len I A)
      )
      ff
    )
  )
)

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