; Automatically generated by map2smt

(set-logic HORN)




(declare-fun new8 (Int) Bool)
(declare-fun new4 (Int) Bool)
(declare-fun new2 (Int Int Int) Bool)
(declare-fun new1 (Int Int Int) Bool)
(declare-fun ff () Bool)

(assert
  (forall ( (A Int) )
    (=>
      (= A 0)
      (new8 A)
    )
  )
)
(assert
  (forall ( (A Int) (B Int) (C Int) (D Int) )
    (=>
      (and
        (= (+ B C) D)
        (= A (+ 1 D))
        (new8 B)
        (new8 C)
      )
      (new8 A)
    )
  )
)
(assert
  (forall ( (A Int) )
    (=>
      (= A 0)
      (new4 A)
    )
  )
)
(assert
  (forall ( (A Int) (B Int) (C Int) (D Int) )
    (=>
      (and
        (= (+ B C) D)
        (= A (+ 1 D))
        (new4 B)
        (new4 C)
      )
      (new4 A)
    )
  )
)
(assert
  (forall ( (A Int) (B Int) (C Int) (D Int) (E Int) (F Int) )
    (=>
      (and
        (= (+ D E) F)
        (= E 0)
        (= D 0)
        (= C 0)
        (= B (+ 1 F))
      )
      (new2 A B C)
    )
  )
)
(assert
  (forall ( (A Int) (B Int) (C Int) (D Int) (E Int) (F Int) (G Int) (H Int) (I Int) )
    (=>
      (and
        (<= D (- A 1))
        (= (+ E F) G)
        (= (+ E H) I)
        (= C (+ 1 I))
        (= B (+ 1 G))
        (new2 A F H)
        (new4 E)
      )
      (new2 A B C)
    )
  )
)
(assert
  (forall ( (A Int) (B Int) (C Int) (D Int) (E Int) (F Int) (G Int) (H Int) (I Int) )
    (=>
      (and
        (>= D A)
        (= (+ E F) G)
        (= (+ H F) I)
        (= C (+ 1 I))
        (= B (+ 1 G))
        (new2 A E H)
        (new4 F)
      )
      (new2 A B C)
    )
  )
)
(assert
  (forall ( (A Int) (B Int) (C Int) (D Int) (E Int) (F Int) )
    (=>
      (and
        (= (+ D E) F)
        (= E 0)
        (= D 0)
        (= C 0)
        (= B (+ 1 F))
      )
      (new1 A B C)
    )
  )
)
(assert
  (forall ( (A Int) (B Int) (C Int) (D Int) (E Int) (F Int) (G Int) (H Int) (I Int) )
    (=>
      (and
        (<= D (- A 1))
        (= (+ E F) G)
        (= (+ E H) I)
        (= C (+ 1 I))
        (= B (+ 1 G))
        (new1 A F H)
        (new8 E)
      )
      (new1 A B C)
    )
  )
)
(assert
  (forall ( (A Int) (B Int) (C Int) (D Int) (E Int) (F Int) (G Int) (H Int) (I Int) )
    (=>
      (and
        (>= D A)
        (= (+ E F) G)
        (= (+ H F) I)
        (= C (+ 1 I))
        (= B (+ 1 G))
        (new1 A E H)
        (new8 F)
      )
      (new1 A B C)
    )
  )
)
(assert
  (forall ( (A Int) (B Int) (C Int) )
    (=>
      (and
        (<= (- A B) 0)
        (new1 C A B)
      )
      ff
    )
  )
)
(assert
  (forall ( (A Int) (B Int) (C Int) )
    (=>
      (and
        (>= (- A B) 2)
        (new2 C A B)
      )
      ff
    )
  )
)

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