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

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

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