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Proof step 192 from proof prepost-write-once (previous step)

# apebs0 = # wlar1, # apebs2 = # wlar0, q0.head = eq-entry(m4, lref0), LEB_SIZE = (n1 + m0) + m1, vols0[v][m] = unmapped, wlar0[vtblpnum] = wl-entry(m5, free), apebs2[vtblpnum] = mkpeb(aehdr, empty, mkempbuf(LEB_SIZE), 0, false), lref = none, q = q1, wlar = wlar0, aehdr.valid?, vtblpnum < # wlar0, m < # vols0[v], vtblpnum < # wlar, bflipset-cons(bflipset, wlar1), bflipset-cons(bflipset, wlar0), id(apebs2, apebs0, mapped-pebs(vols0)), is-aligned(m1, EB_PAGE_SIZE), is-aligned(m0, EB_PAGE_SIZE), ubi-io-inv(apebs0), ubi-io-inv(apebs2), ubi-io-inv(apebs2[vtblpnum, mkpeb(aehdr, avhdr, mkempbuf(LEB_SIZE), 0, false)]), unique-sqns(apebs0), unique-sqns(apebs2), valid-ebatbl(apebs0, wlar1, vols0, vtblpnum2), valid-ebatbl(apebs2, wlar0, vols0, vtblpnum2), valid-eraseq(apebs0, q0), valid-eraseq(wlar1, q0), valid-eraseq(q0), valid-eraseq(q1), valid-eraseq(wlar0, q1), valid-eraseq(apebs2, q1), valid-global-sqn(apebs0, sqnum), valid-global-sqn(apebs2, sqnum), valid-vtbl(apebs0, vols0, wlar1, vtblpnum2), valid-vtbl(apebs2, vols0, wlar0, vtblpnum2), valid-wl(apebs0, wlar1), valid-wl(apebs2, wlar0), v ∈ vols0, m1 ≤ LEB_SIZE, m1 + m2 ≤ # buf, m0 + m1 ≤ LEB_SIZE, q1.lebrefs ⊆ q0.lebrefs, ⌊err0⌋ , apebs0 = apebs2 ∧ wlar1 = wlar0 ∧ q0 = q1 ∨ id○(apebs0, apebs2, vtblpnum) ∧ id○(wlar1, wlar0, vtblpnum) ∧ q0 = eq-entry(vtblpnum, lref0) ' + q1 ⊦ vtblpnum2 = vtblpnum, avhdr.valid?, vtblpnum2 ∈ q0, VTBL_VOLID ∈ vols0, vtblpnum2 ∈ q1, # apebs2 = # wlar[vtblpnum, wlar[vtblpnum].status:= erasing] ∧ unique-sqns(apebs2[vtblpnum, apebs2[vtblpnum].vidhdr:= avhdr]) ∧ valid-global-sqn(apebs2[vtblpnum, apebs2[vtblpnum].vidhdr:= avhdr], sqnum + 1) ∧ valid-wl(apebs2[vtblpnum, apebs2[vtblpnum].vidhdr:= avhdr], wlar[vtblpnum, wlar[vtblpnum].status:= erasing]) ∧ valid-eraseq(q + eq-entry(vtblpnum, lref)) ∧ valid-eraseq(wlar[vtblpnum, wlar[vtblpnum].status:= erasing], q + eq-entry(vtblpnum, lref)) ∧ valid-eraseq(apebs2[vtblpnum, apebs2[vtblpnum].vidhdr:= avhdr], q + eq-entry(vtblpnum, lref)) ∧ bflipset-cons(bflipset, wlar[vtblpnum, wlar[vtblpnum].status:= erasing]) ∧ valid-ebatbl(apebs2[vtblpnum, apebs2[vtblpnum].vidhdr:= avhdr], wlar[vtblpnum, wlar[vtblpnum].status:= erasing], vols0, vtblpnum2) ∧ valid-vtbl(apebs2, vols0, wlar[vtblpnum, wlar[vtblpnum].status:= erasing], vtblpnum2) ∧ id(apebs2[vtblpnum, apebs2[vtblpnum].vidhdr:= avhdr], apebs0, mapped-pebs(vols0)) ∧ (q + eq-entry(vtblpnum, lref)).lebrefs ⊆ q0.lebrefs ++ (v × m) ∧ (m1 = 0 → (q + eq-entry(vtblpnum, lref)).lebrefs ⊆ q0.lebrefs)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: n < # wlar ⊦ valid-eraseq(wlar, q) ∧ wlar[n] = wl-entry(m, free) → ¬ n ∈ q; (s)% ⊦ eq-entry(m, lref).pnum = m; (s)% ⊦ valid-eraseq(q + eqent ') ↔ ¬ eqent.pnum ∈ q ∧ valid-eraseq(q); (ss)%⊦ mkpeb(aehdr, avhdr, buf, m, boolvar).vidhdr:= avhdr0 = mkpeb(aehdr, avhdr0, buf, m, boolvar); (s)% ⊦ s1 ⊆ s2 → s1 ⊆ s2 ++ lref; (s)% ⊦ (q + eq-entry(n, none) ').lebrefs = q.lebrefs; (s)%¬ n ∈ ns ⊦ id(apebs1[n, apeb], apebs0, ns) ↔ id(apebs1, apebs0, ns); (s)%n < # wlar, stat ≠ used ⊦ wlar[n] = wl-entry(m, stat) ∧ valid-ebatbl(apebs, wlar, vols, n0) → ¬ n ∈ mapped-pebs(vols); (s)%⊦ m ≠ n0 → ( valid-vtbl(apebs, vols, wlar[m, wle], n0) ↔ valid-vtbl(apebs, vols, wlar, n0)); (s)%stat ≠ used ⊦ wlar[n] = wl-entry(m, stat) ∧ bflipset-cons(bflipset, wlar) → ¬ n ∈ bflipset; (s)% ⊦ used ≠ free; (s)%wle.status ≠ used ⊦ bflipset-cons(bflipset, wlar[m, wle]) ↔ bflipset-cons(bflipset, wlar) ∧ ¬ m ∈ bflipset; (s)% ⊦ used ≠ erasing; (s)% ⊦ wl-entry(m, stat).status = stat; (s)% ⊦ wl-entry(m, stat).ec = m; (s)%a: ⊦ (q + q0) + q1 = q + q0 + q1; from specification list[erasequeue-base]%stat ≠ erasing ⊦ n < # wlar ∧ wlar[n] = wl-entry(m0, stat) ∧ valid-eraseq(wlar, q) → valid-eraseq (wlar[n, wl-entry(m1, erasing)], q + eq-entry(n, lref) '); (ss)% ⊦ free ≠ erasing; (s)% ⊦ q + eqent = q + eqent '; (s)% ⊦ # wlar[n, wle] = # wlar; (s)% ⊦ wle.status:= stat = wl-entry(wle.ec, stat); (s)