; Automatically generated by map2smt

(set-logic HORN)




(declare-fun new3 (Int) Bool)
(declare-fun new2 (Int) Bool)
(declare-fun new1 (Int Int Int) Bool)
(declare-fun ff () Bool)

(assert
  (forall ( (A Int) )
    (=>
      (= A 0)
      (new3 A)
    )
  )
)
(assert
  (forall ( (A Int) (B Int) )
    (=>
      (and
        (= A (+ 1 B))
        (new3 B)
      )
      (new3 A)
    )
  )
)
(assert
  (forall ( (A Int) )
    (=>
      (= A 0)
      (new2 A)
    )
  )
)
(assert
  (forall ( (A Int) (B Int) )
    (=>
      (and
        (= A (+ 1 B))
        (new2 B)
      )
      (new2 A)
    )
  )
)
(assert
  (forall ( (A Int) (B Int) (C Int) )
    (=>
      (and
        (>= C 0)
        (>= A 0)
        (= B (+ A C))
        (new2 A)
        (new3 C)
      )
      (new1 A B C)
    )
  )
)
(assert
  (forall ( (A Int) (B Int) (C Int) )
    (=>
      (and
        (= (+ A B) C)
        (new1 A C B)
      )
      ff
    )
  )
)

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