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Proof step 366 from proof refine-write (previous step)

⟨fail_or_success#(; ; err)⟩ (err = err1), # apebs = # wlar, apebs[n4] = mkpeb(aehdr, avhdr, buf2, m0, false), wlar[n4] = wl-entry(m1, used), avols[v][vtblpnum3] = mapped(buf2, m), vols[v][vtblpnum3] = ⌜n4⌝ , avols = avols0, buf = subarray(copy(buf2, 0, mkbuf(vtblpnum5 + n0), 0, vtblpnum5), 0, vtblpnum5) + subarray(buf0, n3, n0) + subarray (copy(buf2, 0, mkbuf(vtblpnum5 + n0), 0, vtblpnum5), vtblpnum5 + n0, # copy(buf2, 0, mkbuf(vtblpnum5 + n0), 0, vtblpnum5) - vtblpnum5 - n0), err1 = err2, n = vtblpnum5 + n0, vtblpnum = vtblpnum3, avhdr.valid?, aehdr.valid?, vtblpnum3 < # avols[v], n4 < # wlar, vtblpnum3 < # vols[v], abs(avols0, apebs0, vols0, q0), abs(avols, apebs, vols, q), bflipset-cons(bflipset, wlar), ebm-cons(avols), is-aligned(n0, EB_PAGE_SIZE), is-aligned(vtblpnum5, EB_PAGE_SIZE), ubi-io-inv(apebs), ubi-io-peb-inv(mkpeb(aehdr, avhdr, buf2, m0, false)), unique-sqns(apebs), valid-ebatbl(apebs, wlar, vols, vtblpnum4), valid-eraseq(apebs, q), valid-eraseq(wlar, q), valid-eraseq(q), valid-global-sqn(apebs, sqnum), valid-vtbl(apebs, vols, wlar, vtblpnum4), valid-wl(apebs, wlar), v ∈ avols, v ∈ vols, vtblpnum5 + n0 ≤ LEB_SIZE, m0 ≤ vtblpnum5, m ≤ vtblpnum5, n0 + n3 ≤ # buf0, m0 ≤ LEB_SIZE, m ≤ LEB_SIZE, vtblpnum5 ≤ LEB_SIZE, 0 + vtblpnum5 ≤ # copy(buf2, 0, mkbuf(vtblpnum5 + n0), 0, vtblpnum5), n3 + n0 ≤ # buf0, (vtblpnum5 + n0) + (# copy(buf2, 0, mkbuf(vtblpnum5 + n0), 0, vtblpnum5) - vtblpnum5 - n0) ≤ # copy(buf2, 0, mkbuf(vtblpnum5 + n0), 0, vtblpnum5), 0 + vtblpnum5 ≤ # buf2, 0 + vtblpnum5 ≤ # mkbuf(vtblpnum5 + n0), # copy(buf2, 0, mkbuf(vtblpnum5 + n0), 0, vtblpnum5) - vtblpnum5 ≥ n0, # copy(buf2, 0, mkbuf(vtblpnum5 + n0), 0, vtblpnum5) ≥ vtblpnum5, ⌊err3⌋ ⊦ ∃ err0. (⌊err0⌋ ∨ err0 = ESUCCESS) ∧ ⟨err := err0; if err = ESUCCESS then if avols[v][vtblpnum3].mapped? then if n0 ≠ 0 then avols[v][vtblpnum3] := mapped (subarray(avols[v][vtblpnum3].data, 0, vtblpnum5) + subarray(buf0, n3, n0) + mkempbuf(LEB_SIZE - vtblpnum5 - n0), vtblpnum5 + n0) else avols[v][vtblpnum3] := mapped(mkempbuf(vtblpnum5) + subarray(buf0, n3, n0) + mkempbuf(LEB_SIZE - vtblpnum5 - n0), vtblpnum5 + n0) else if avols[v][vtblpnum3].mapped? then choose n1 with n1 < n0 ∧ is-aligned(n1, EB_PAGE_SIZE) in if n1 ≠ 0 then avols[v][vtblpnum3] := mapped (subarray(avols[v][vtblpnum3].data, 0, vtblpnum5) + subarray(buf0, n3, n1) + mkempbuf(LEB_SIZE - vtblpnum5 - n1), vtblpnum5 + n1) ifnone skip else if n0 ≠ 0 then avols[v][vtblpnum3] := unmapped⟩ (abs(avols, apebs0, vols0, q0) ∧ err2 = err), err1 = ESUCCESS, n0 = 0, vtblpnum4 = n4, VTBL_VOLID ∈ vols

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 367:
⟨fail_or_success#(; ; err)⟩ (err = err2), # apebs = # wlar, vols[v][vtblpnum3] = ⌜n4⌝ , avols0[v][vtblpnum3] = mapped(buf2, m), wlar[n4] = wl-entry(m1, used), apebs[n4] = mkpeb(aehdr, avhdr, buf2, m0, false), err2 ≠ ESUCCESS, n0 ≠ 0, vtblpnum4 ≠ n4, aehdr.valid?, avhdr.valid?, vtblpnum3 < # vols[v], n4 < # wlar, vtblpnum3 < # avols0[v], abs(avols0, apebs, vols, q), abs(avols0, apebs0, vols0, q0), bflipset-cons(bflipset, wlar), ebm-cons(avols0), is-aligned(vtblpnum5, EB_PAGE_SIZE), is-aligned(n0, EB_PAGE_SIZE), ubi-io-inv(apebs), ubi-io-peb-inv(mkpeb(aehdr, avhdr, buf2, m0, false)), unique-sqns(apebs), valid-ebatbl(apebs, wlar, vols, vtblpnum4), valid-eraseq(q), valid-eraseq(wlar, q), valid-eraseq(apebs, q), valid-global-sqn(apebs, sqnum), valid-vtbl(apebs, vols, wlar, vtblpnum4), valid-wl(apebs, wlar), v ∈ vols, v ∈ avols0, n3 + n0 ≤ # buf0, m ≤ LEB_SIZE, m0 ≤ LEB_SIZE, n0 + n3 ≤ # buf0, m ≤ vtblpnum5, m0 ≤ vtblpnum5, vtblpnum5 + n0 ≤ LEB_SIZE, vtblpnum5 ≤ LEB_SIZE, ⌊err3⌋ , ¬ VTBL_VOLID ∈ vols ⊦ ∃ err0. (⌊err0⌋ ∨ err0 = ESUCCESS) ∧ ⟨err := err0; if err = ESUCCESS then if avols0[v][vtblpnum3].mapped? then if n0 ≠ 0 then avols0[v][vtblpnum3] := mapped (subarray(avols0[v][vtblpnum3].data, 0, vtblpnum5) + subarray(buf0, n3, n0) + mkempbuf(LEB_SIZE - vtblpnum5 - n0), vtblpnum5 + n0) else avols0[v][vtblpnum3] := mapped(mkempbuf(vtblpnum5) + subarray(buf0, n3, n0) + mkempbuf(LEB_SIZE - vtblpnum5 - n0), vtblpnum5 + n0) else if avols0[v][vtblpnum3].mapped? then choose n1 with n1 < n0 ∧ is-aligned(n1, EB_PAGE_SIZE) in if n1 ≠ 0 then avols0[v][vtblpnum3] := mapped (subarray(avols0[v][vtblpnum3].data, 0, vtblpnum5) + subarray(buf0, n3, n1) + mkempbuf(LEB_SIZE - vtblpnum5 - n1), vtblpnum5 + n1) ifnone skip else if n0 ≠ 0 then avols0[v][vtblpnum3] := unmapped⟩ (abs(avols0, apebs0, vols0, q0) ∧ err2 = err)

Rule argument

Additional information

Used simplifier rules: ⊦ mapped(buf, m).mapped?; (s)% ⊦ m < n → n ≠ 0; (s)%abs-vols-mapped: ⊦ v ∈ vols ∧ m < # vols[v] ∧ vols[v][m] = ⌜n⌝ ∧ abs(avols, apebs, vols, q) → avols[v][m].mapped?; (forward) from specification ubi-abs%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic% ⊦ m + n ≤ m + n0 ↔ n ≤ n0; (s)% ⊦ m - m = 0; (s)%⊦ v ∈ avols ∧ m < # avols[v] ∧ avols[v][m] = mapped(buf, n) ∧ ebm-cons(avols) → # buf = LEB_SIZE; (s)% ⊦ n + 0 = n; (s)% ⊦ m ≤ m; (s)% ⊦ m + n - m = n; (s)%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ m ≤ m + n; (s)% ⊦ n ≥ m ↔ m ≤ n; (s)% ⊦ # mkbuf(n) = n; (s)% ⊦ # copy(buf, m, buf0, m0, n) = # buf0; (s)