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Proof step 28 from proof prepost-write-multiple (previous step)

# apebs2 = # wlar1, # apebs0 = # wlar0, # apebs = # wlar, LEB_SIZE = (n1 + m0) + m1, vols0[v][m] = unmapped, m < # vols0[v], bflipset-cons(bflipset, wlar1), bflipset-cons(bflipset, wlar0), bflipset-cons(bflipset, wlar), id(apebs2, apebs0, mapped-pebs(vols0)), id(apebs2, apebs, mapped-pebs(vols0)), id(apebs, apebs0, mapped-pebs(vols0)), is-aligned(m1, EB_PAGE_SIZE), is-aligned(m0, EB_PAGE_SIZE), ubi-io-inv(apebs2), ubi-io-inv(apebs), ubi-io-inv(apebs0), unique-sqns(apebs2), unique-sqns(apebs0), unique-sqns(apebs), valid-ebatbl(apebs2, wlar1, vols1, vtblpnum3), valid-ebatbl(apebs0, wlar0, vols0, vtblpnum3), valid-ebatbl(apebs, wlar, vols0, vtblpnum3), valid-eraseq(q2), valid-eraseq(wlar1, q2), valid-eraseq(apebs2, q2), valid-eraseq(apebs0, q0), valid-eraseq(wlar0, q0), valid-eraseq(q0), valid-eraseq(q), valid-eraseq(wlar, q), valid-eraseq(apebs, q), valid-global-sqn(apebs2, sqnum1), valid-global-sqn(apebs0, sqnum0), valid-global-sqn(apebs, sqnum), valid-vtbl(apebs2, vols1, wlar1, vtblpnum3), valid-vtbl(apebs0, vols0, wlar0, vtblpnum3), valid-vtbl(apebs, vols0, wlar, vtblpnum3), valid-wl(apebs2, wlar1), valid-wl(apebs0, wlar0), valid-wl(apebs, wlar), v ∈ vols0, m0 + m1 ≤ LEB_SIZE, m1 + m2 ≤ # buf, vtblpnum4 ≤ UBI_WRITE_RETRIES, m2 + m1 ≤ # buf, m1 ≤ LEB_SIZE, q2.lebrefs ⊆ q.lebrefs ++ (v × m), q.lebrefs ⊆ q0.lebrefs ++ (v × m), ⌊err⌋ , m1 = 0 → q2.lebrefs ⊆ q.lebrefs, err0 ≠ ESUCCESS → vols1 = vols0, m1 = 0 → q.lebrefs ⊆ q0.lebrefs, err0 = ESUCCESS → vols1 = vols0[v, vols0[v][m, ⌜n⌝ ]] ∧ (m1 ≠ 0 → apebs2[n].fill = m0 + m1) ∧ (m1 = 0 → apebs2[n].fill = 0) ∧ apebs2[n].data = mkempbuf(m0) + subarray(buf, m2, m1) + mkempbuf(n1), err0 = ESUCCESS ∨ ⌊err0⌋ ⊦ vtblpnum3 ∈ q2, VTBL_VOLID ∈ vols1, vtblpnum3 ∈ q, vtblpnum3 ∈ q0, VTBL_VOLID ∈ vols0, v ∈ vols1 ∧ m < # vols1[v] ∧ q2.lebrefs ⊆ q0.lebrefs ++ (v × m) ∧ (m1 = 0 → q2.lebrefs ⊆ q0.lebrefs) ∧ (err0 = ESUCCESS ∨ ⌊err0⌋ ) ∧ (err0 ≠ ESUCCESS → vols1 = vols0) ∧ ( err0 = ESUCCESS → (∃ n. vols1 = vols0[v, vols0[v][m, ⌜n⌝ ]] ∧ (m1 ≠ 0 → apebs2[n].fill = m0 + m1) ∧ (m1 = 0 → apebs2[n].fill = 0) ∧ apebs2[n].data = mkempbuf(m0) + subarray(buf, m2, m1) + mkempbuf(n1))) ∧ ¬ UBI_WRITE_RETRIES < (UBI_WRITE_RETRIES + 1 - vtblpnum4 + 1) + vtblpnum4

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: ⊦ m ≤ m; (s)% ⊦ m + n ≤ m + n0 ↔ n ≤ n0; (s)%n ≤ m ⊦ (m - n) + m0 ≤ n0 ↔ m + m0 ≤ n0 + n; (s)% ⊦ m ≤ n → (n < m ↔ false); (s)% ⊦ m ≤ n ↔ ¬ n < m; (ss)% ⊦ m < n ↔ ¬ n ≤ m; (ss)% ⊦ ¬ n < n; (s)% ⊦ n < m → (m - n) + n = m; (s)% ⊦ m < n → n ≠ 0; (s)% ⊦ m ≠ n → (m ≤ n ↔ m < n); (s)% ⊦ m ≤ n → (n - m = 0 ↔ n = m); (s)% ⊦ m < m + n ↔ n ≠ 0; (s)% ⊦ m = m + n ↔ n = 0; (s)% ⊦ n + 0 = n; (s)%n ≤ m ⊦ (m - n) + n0 = n1 ↔ m + n0 = n + n1; (s)%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic%fle-01: ⊦ m ≤ n ∧ n < n0 → m < n0; (forward) from specification nat% ⊦ lref ∈ s0 ++ lref0 ↔ ¬(lref ≠ lref0 ∧ ¬ lref ∈ s0); (ss)% ⊦ s1 ++ lref ⊆ s2 ↔ s1 ⊆ s2 ∧ lref ∈ s2; (ws)%sub-ntrans-01: ⊦ s2 ⊆ s3 ∧ ¬ s4 ⊆ s3 → ¬ s4 ⊆ s2; (forward) from specification set-basic[lebrefset]%sub-ntrans: ⊦ s2 ⊆ s3 ∧ ¬ s2 ⊆ s4 → ¬ s3 ⊆ s4; (forward) from specification set-basic[lebrefset]%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ m + n - n + n1 = m - n1; (s)