[Imprint][Data Privacy Statement][E-Mail]



View long theorem info. View the proof. Back to main index. View the specification. View theorem base summary, View theorem base listing, the used properties by spec, the dependency list, the symbol table,

Proof step 191 from proof refine-write (previous step)

⟨fail_or_success#(; ; err); if err = ESUCCESS then avols[v][vtblpnum] := mapped(subarray(buf, 0, n) + mkempbuf(LEB_SIZE - n), n)⟩ (avols = avols1 ∧ err = err2), # apebs0 = # wlar, LEB_SIZE = (n0 + n2) + vtblpnum5, vols[v][vtblpnum3] = ⌜n4⌝ , avols2[v][vtblpnum3] = mapped(buf2, m), wlar[n4] = wl-entry(m1, used), apebs0[n4] = mkpeb(aehdr, avhdr, buf2, m0, false), avols = avols0, avols0 = avols2[v, avols2[v][vtblpnum3, mapped(subarray(buf2, 0, vtblpnum5) + subarray(buf0, n3, n2) + mkempbuf(n0), vtblpnum5 + n2)]], buf = subarray(buf2, 0, vtblpnum5) + subarray(buf0, n3, n5), n = vtblpnum5 + n5, vtblpnum = vtblpnum3, aehdr.valid?, avhdr.valid?, n2 < n5, vtblpnum3 < # vols[v], vtblpnum3 < # avols2[v], n4 < # wlar, vtblpnum < # avols[v], abs(avols1, apebs1, vols0, q0), abs (avols2[v, avols2[v][vtblpnum3, mapped(subarray(buf2, 0, vtblpnum5) + subarray(buf0, n3, n2) + mkempbuf(n0), vtblpnum5 + n2)]], apebs0[n4, mkpeb(aehdr, avhdr, subarray(buf2, 0, vtblpnum5) + subarray(buf0, n3, n2) + mkempbuf(n0), vtblpnum5 + n2, false)], vols, q), abs(avols2, apebs0, vols, q), bflipset-cons(bflipset, wlar), ebm-cons(avols2[v, avols2[v][vtblpnum3, mapped(subarray(buf2, 0, vtblpnum5) + subarray(buf0, n3, n2) + mkempbuf(n0), vtblpnum5 + n2)]]), ebm-cons(avols2), is-aligned(vtblpnum5, EB_PAGE_SIZE), is-aligned(n5, EB_PAGE_SIZE), is-aligned(n2, EB_PAGE_SIZE), is-aligned(n, EB_PAGE_SIZE), ubi-io-inv(apebs0[n4, mkpeb(aehdr, avhdr, subarray(buf2, 0, vtblpnum5) + subarray(buf0, n3, n2) + mkempbuf(n0), vtblpnum5 + n2, false)]), ubi-io-inv(apebs0), ubi-io-peb-inv(mkpeb(aehdr, avhdr, buf2, m0, false)), unique-sqns(apebs0), unique-sqns(apebs0[n4, mkpeb(aehdr, avhdr, subarray(buf2, 0, vtblpnum5) + subarray(buf0, n3, n2) + mkempbuf(n0), vtblpnum5 + n2, false)]), valid-ebatbl(apebs0, wlar, vols, vtblpnum4), valid-ebatbl (apebs0[n4, mkpeb(aehdr, avhdr, subarray(buf2, 0, vtblpnum5) + subarray(buf0, n3, n2) + mkempbuf(n0), vtblpnum5 + n2, false)], wlar, vols, vtblpnum4), valid-eraseq(q), valid-eraseq(wlar, q), valid-eraseq(apebs0, q), valid-eraseq(apebs0[n4, mkpeb(aehdr, avhdr, subarray(buf2, 0, vtblpnum5) + subarray(buf0, n3, n2) + mkempbuf(n0), vtblpnum5 + n2, false)], q), valid-global-sqn(apebs0, sqnum), valid-global-sqn(apebs0[n4, mkpeb(aehdr, avhdr, subarray(buf2, 0, vtblpnum5) + subarray(buf0, n3, n2) + mkempbuf(n0), vtblpnum5 + n2, false)], sqnum), valid-vtbl(apebs0, vols, wlar, vtblpnum4), valid-wl(apebs0, wlar), valid-wl(apebs0[n4, mkpeb(aehdr, avhdr, subarray(buf2, 0, vtblpnum5) + subarray(buf0, n3, n2) + mkempbuf(n0), vtblpnum5 + n2, false)], wlar), v ∈ vols, v ∈ avols2, v ∈ avols, n3 + n5 ≤ # buf0, 0 + vtblpnum5 ≤ # buf2, n3 + n2 ≤ # buf0, vtblpnum5 + n5 ≤ LEB_SIZE, n5 + n3 ≤ # buf0, m ≤ vtblpnum5, m0 ≤ vtblpnum5, n2 + vtblpnum5 ≤ LEB_SIZE, m ≤ LEB_SIZE, m0 ≤ LEB_SIZE, vtblpnum5 ≤ LEB_SIZE, n ≤ LEB_SIZE, n ≤ # buf, ⌊err3⌋ , v ∈ avols → v ∈ avols ⊦ ∃ err0. (⌊err0⌋ ∨ err0 = ESUCCESS) ∧ ⟨err := err0; if err = ESUCCESS then if avols2[v][vtblpnum3].mapped? then if n5 ≠ 0 then avols2[v][vtblpnum3] := mapped (subarray(avols2[v][vtblpnum3].data, 0, vtblpnum5) + subarray(buf0, n3, n5) + mkempbuf(LEB_SIZE - vtblpnum5 - n5), vtblpnum5 + n5) else avols2[v][vtblpnum3] := mapped(mkempbuf(vtblpnum5) + subarray(buf0, n3, n5) + mkempbuf(LEB_SIZE - vtblpnum5 - n5), vtblpnum5 + n5) else if avols2[v][vtblpnum3].mapped? then choose n with n < n5 ∧ is-aligned(n, EB_PAGE_SIZE) in if n ≠ 0 then avols2[v][vtblpnum3] := mapped (subarray(avols2[v][vtblpnum3].data, 0, vtblpnum5) + subarray(buf0, n3, n) + mkempbuf(LEB_SIZE - vtblpnum5 - n), vtblpnum5 + n) ifnone skip else if n5 ≠ 0 then avols2[v][vtblpnum3] := unmapped⟩ (abs(avols2, apebs1, vols0, q0) ∧ err2 = err), n2 = 0, vtblpnum4 = n4, VTBL_VOLID ∈ vols

Heuristic split applied rule split left

And obtained the following new goals

Rule argument

pos: left 1

Additional information