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Proof step 42 from proof inv-write (previous step)

pebs[m3] = mkpeb(buf0, m1, false), pebs[n0] = mkpeb(buf1, m, boolvar), pebs[m3, mkpeb(copy(buf, n2, buf0, m2, n1), m2 + n1, false)][n0] = mkpeb(buf2, m0, boolvar0), m3 < # pebs, n0 < # pebs, n1 < n, is-aligned(n1, EB_PAGE_SIZE), is-aligned(n, EB_PAGE_SIZE), is-aligned(m2, EB_PAGE_SIZE), mtd-cons(pebs), m2 + n1 ≤ PEB_SIZE, n2 + n ≤ # buf, m2 + n ≤ PEB_SIZE, m1 ≤ m2, n2 + n1 ≤ # buf, ⌊err0⌋ , ¬ boolvar → m ≤ PEB_SIZE ∧ is-aligned(m, EB_PAGE_SIZE) ∧ range=(buf1, m, emptypeb, m, PEB_SIZE - m) ⊦ n1 = 0, # buf2 = PEB_SIZE ∧ (¬ boolvar0 → m0 ≤ PEB_SIZE ∧ is-aligned(m0, EB_PAGE_SIZE) ∧ range=(buf2, m0, emptypeb, m0, PEB_SIZE - m0))

Heuristic weak cut applied rule cut formula

And obtained the following new goals

Proof step 43:
pebs[m3, mkpeb(copy(buf, n2, buf0, m2, n1), m2 + n1, false)][n0] = mkpeb(buf2, m0, boolvar0), pebs[n0] = mkpeb(buf1, m, boolvar), pebs[m3] = mkpeb(buf0, m1, false), n0 = m3, n1 < n, n0 < # pebs, m3 < # pebs, is-aligned(m2, EB_PAGE_SIZE), is-aligned(n, EB_PAGE_SIZE), is-aligned(n1, EB_PAGE_SIZE), mtd-cons(pebs), n2 + n1 ≤ # buf, m1 ≤ m2, m2 + n ≤ PEB_SIZE, n2 + n ≤ # buf, m2 + n1 ≤ PEB_SIZE, ⌊err0⌋ , ¬ boolvar → m ≤ PEB_SIZE ∧ is-aligned(m, EB_PAGE_SIZE) ∧ range=(buf1, m, emptypeb, m, PEB_SIZE - m) ⊦ n1 = 0, # buf2 = PEB_SIZE ∧ (¬ boolvar0 → m0 ≤ PEB_SIZE ∧ is-aligned(m0, EB_PAGE_SIZE) ∧ range=(buf2, m0, emptypeb, m0, PEB_SIZE - m0))

Rule argument

fma: n0 = m3

Additional information

Used simplifier rules: ⊦ m ≠ n → pebs[n, peb][m] = pebs[m]; (s)% ⊦ m < n ↔ ¬ n ≤ m; (ss)% ⊦ m < n → (n ≤ m ↔ false); (s)%n < # pebs ⊦ pebs[n] = mkpeb(buf, m, boolvar) ∧ mtd-cons(pebs) → # buf = PEB_SIZE; (s)%⊦ mkpeb(buf, m, boolvar) = mkpeb(buf0, m0, boolvar0) ↔ buf = buf0 ∧ m = m0 ∧ (boolvar ↔ boolvar0); (ws)% ⊦ m ≤ n ↔ ¬ n < m; (ss)%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic%lf-01: ⊦ m < n ∧ n = n0 → m < n0; (forward) from specification nat-basic%fle-01: ⊦ m ≤ n ∧ n < n0 → m < n0; (forward) from specification nat% ⊦ m < n → n ≠ 0; (s)% ⊦ m ≤ n → (n < m ↔ false); (s) Used formulas: n0 = m3