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With fp.xform.inline_linear_branch z3 returns incorrect model #5882

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AnzhelaSukhanova opened this issue Mar 4, 2022 · 0 comments
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@AnzhelaSukhanova
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Hello,
For the instance

(set-logic HORN)

(set-option :fp.xform.inline_linear_branch true)

(declare-fun P1 (Int Int) Bool)
(declare-fun P2 (Int Int) Bool)
(declare-fun P3 (Int Int Int) Bool)
(declare-fun P4 (Int Int) Bool)
(declare-fun P5 (Int Int Int) Bool)
(declare-fun P6 (Int Int Int) Bool)

(assert (forall ((v1 Int) (v2 Int) (v3 Int) (v4 Int)
                 (v5 Int) (v6 Int) (v7 Int) (v8 Int))
  (=> (P4 v8 v2)
      (P3 v1 v8 v2))))

(assert (forall ((v1 Int) (v2 Int) (v3 Int)
                 (v4 Int) (v5 Int) (v6 Int))
  (=> (and (P2 v2 v3)
           (P3 v5 v2 v3))
      (P1 v1 v3))))

(assert (forall ((v1 Int) (v2 Int) (v3 Int)
                 (v4 Int) (v5 Int))
  (=> (P3 v4 v1 v2)
      (P6 v4 v2 v1))))

(assert (forall ((v1 Int) (v2 Int) (v3 Int) (v4 Int))
  (let ((a!1 (and (= (not (= 0 v3)) (>= v1 v2))
                  (not (not (= 0 v3))))))
    (=> a!1 (P4 v1 v2)))))

(assert (forall ((v1 Int) (v2 Int) (v3 Int))
  (=> (P6 v3 v2 v1)
      (P5 v1 v2 v1))))

(assert (forall ((v1 Int) (v2 Int) (v3 Int)
                 (v4 Int) (v5 Int) (v6 Int))
  (=> (not (= 0 v6))
      (P2 v3 v1))))

(check-sat)
(get-model)
(exit)

z3 returns

sat
(
  (define-fun P2 ((x!0 Int) (x!1 Int)) Bool
    true)
  (define-fun P3 ((x!0 Int) (x!1 Int) (x!2 Int)) Bool
    true)
  (define-fun P6 ((x!0 Int) (x!1 Int) (x!2 Int)) Bool
    (not (>= x!2 x!1)))
  (define-fun P1 ((x!0 Int) (x!1 Int)) Bool
    true)
  (define-fun P5 ((x!0 Int) (x!1 Int) (x!2 Int)) Bool
    true)
  (define-fun P4 ((x!0 Int) (x!1 Int)) Bool
    (not (>= x!0 x!1)))
)

If v1 >= v2 in the third clause, this interpretation is incorrect.
Without fp.xform.inline_linear_branch z3 returns correct model.

@AnzhelaSukhanova AnzhelaSukhanova changed the title Returns incorrect model with fp.xform.inline_linear_branch With fp.xform.inline_linear_branch returns incorrect model Mar 4, 2022
@AnzhelaSukhanova AnzhelaSukhanova changed the title With fp.xform.inline_linear_branch returns incorrect model With fp.xform.inline_linear_branch z3 returns incorrect model Mar 4, 2022
@hgvk94 hgvk94 mentioned this issue Mar 8, 2022
hgvk94 added a commit to hgvk94/z3 that referenced this issue Mar 9, 2022
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