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Proof step 16 from proof completeness (previous step)

x = d ' + y, d < 0, max(d ' + y) < 0, d ≤ max(d ' + y), x2 = x ∧ d1 = 0, h0 = head(x2) ⊦ 〈to0 := fail〉〈to1 := to0, x1 := x2 ; if x1 ≠ [] then to1 := fail〉 (to1 = fail → (∀ t. d ' + y ≠ depths(t, 0)))

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Proof step 15:
x = d ' + y, d < 0, max(d ' + y) < 0, d ≤ max(d ' + y), x2 = x ∧ d1 = 0, h0 = head(x2) ⊦ 〈to1 := fail, x1 := x2〉〈if x1 ≠ [] then to1 := fail〉 (to1 = fail → (∀ t. d ' + y ≠ depths(t, 0)))

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]