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Proof step 227 from proof refine-create (previous step)

fs[ri[inodekey(m3)]] = inodenode(key, md1, true, m, m4, m5), adr4 = adr1, c_inode = p_inode1, dent = negdentry(str), dirs = abs-dirs(fs0, ri), err = ENOSPC, files = abs-files(fs0, ri), fs0 = fs, m0 = fs0[ri[inodekey(m3)]].nlink, m1 = fs0[ri[inodekey(m3)]].nsubdirs, m2 = fs0[ri[inodekey(m3)]].size, nd = inodenode(inodekey(n), md, false, 1, 0, 0), nd0 = dentrynode(dentrykey(m3, str), n), nd1 = inodenode(inodekey(m3), md0, true, m, m4, m5 + 1), old_dent = negdentry(str), p_inode = mkinode(m3, md0, true, fs0[ri[inodekey(m3)]].nlink, fs0[ri[inodekey(m3)]].nsubdirs, fs0[ri[inodekey(m3)]].size), p_inode0 = mkinode(m3, md0, true, m0, m1, m2), ro = orphans(fs, ri), ro0 = orphans(fs0, ri), fs0[ri[inodekey(m3)]].inode?, orphans(fs, ri).inodes?, fo.inodes?, afs-cons(abs-dirs(fs, ri), abs-files(fs, ri)), file-node-cons(fs, ri), log-cons(log, fs), orphans-cons(fs, ri, ro0), orphans-cons(fs, ri, orphans(fs, ri)), replay-cons-strong(fs, ri, ro0, fi, fo, log), replay-cons-strong(fs, ri, orphans(fs, ri), fi, fo, log), ri-inj(ri), ri-inj(fi), ubifs-cons(fs, ri, ro0, fi, fo, log), ubifs-cons(fs, ri, orphans(fs, ri), fi, fo, log), ri[inodekey(m3)] ∈ fs, ri[inodekey(m3)] ∈ fs0, inodekey(m3) ∈ ri, asynced → boolvar0, ∀ adr1, adr2, adr3. ¬(new(adr1 ' + (adr2 ' + adr3), fs) ∧ ¬ dups(adr1 ' + adr2 ' + adr3 ')), links(m3, abs-dirs(fs, ri)) ≠ ∅ ∨ m3 = ROOT_INO, m ≠ 0 ∨ m3 = ROOT_INO, fs0[ri[inodekey(m3)]].trunc? ∨ fs0[ri[inodekey(m3)]].inode? ⊦ ⟨afs_create#(md; p_inode0, p_inode1, old_dent, err0, dirs, files; asynced)⟩ ( dirs = abs-dirs(fs, ri) ∧ files = abs-files(fs, ri) ∧ orphans(abs-dirs(fs, ri), abs-files(fs, ri)) = abs-keys(ro0) ∧ (asynced → boolvar) ∧ p_inode = p_inode0 ∧ c_inode = p_inode1 ∧ dent = old_dent ∧ err = err0), n = 0, inodekey(n) ∈ ri, inodekey(n) ∈ fo, dentrykey(m3, str) ∈ ri, m = 0 ∧ m3 ≠ ROOT_INO

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 228:
fs[ri[inodekey(m3)]] = inodenode(key, md1, true, m, m4, m5), c_inode = p_inode1, dirs = abs-dirs(fs, ri), files = abs-files(fs, ri), old_dent = negdentry(str), p_inode0 = mkinode(m3, md0, true, m, m4, m5), n ≠ 0, orphans(fs, ri).inodes?, fo.inodes?, afs-cons(abs-dirs(fs, ri), abs-files(fs, ri)), file-node-cons(fs, ri), log-cons(log, fs), orphans-cons(fs, ri, orphans(fs, ri)), replay-cons-strong(fs, ri, orphans(fs, ri), fi, fo, log), ri-inj(ri), ri-inj(fi), ubifs-cons(fs, ri, orphans(fs, ri), fi, fo, log), ri[inodekey(m3)] ∈ fs, inodekey(m3) ∈ ri, ¬ inodekey(n) ∈ ri, ¬ inodekey(n) ∈ fo, ¬ dentrykey(m3, str) ∈ ri, asynced → boolvar0, ∀ adr, adr0, adr1. adr ∈ fs ∨ adr0 ∈ fs ∨ adr1 ∈ fs ∨ adr = adr0 ∨ adr = adr1 ∨ adr0 = adr1, links(m3, abs-dirs(fs, ri)) ≠ ∅ ∨ m3 = ROOT_INO, m ≠ 0 ∨ m3 = ROOT_INO ⊦ ⟨afs_create#(md; p_inode0, p_inode1, old_dent, err0, dirs, files; asynced)⟩ ( dirs = abs-dirs(fs, ri) ∧ files = abs-files(fs, ri) ∧ (asynced → boolvar) ∧ mkinode(m3, md0, true, fs[ri[inodekey(m3)]].nlink, fs[ri[inodekey(m3)]].nsubdirs, fs[ri[inodekey(m3)]].size) = p_inode0 ∧ c_inode = p_inode1 ∧ negdentry(str) = old_dent ∧ ENOSPC = err0), m = 0 ∧ m3 ≠ ROOT_INO

Rule argument

Additional information

Used simplifier rules: ⊦ inodenode(key, md, boolvar, m, m0, m1).inode?; (s)% ⊦ inodenode(key, md, boolvar, m, m0, m1).size = m1; (s)% ⊦ inodenode(key, md, boolvar, m, m0, m1).nsubdirs = m0; (s)% ⊦ inodenode(key, md, boolvar, m, m0, m1).nlink = m; (s)%⊦ abs-keys(orphans(fs0, ri0)) = abs-keys(orphans(fs, ri)) ↔ orphans(fs0, ri0) = orphans(fs, ri); (s)%⊦ afs-cons(abs-dirs(fs, ri), abs-files(fs, ri)) → orphans(abs-dirs(fs, ri), abs-files(fs, ri)) = abs-keys(orphans(fs, ri)); (s)% ⊦ dups(adr ' + adr0 ') ↔ adr = adr0; (s)% ⊦ adr ∈ adr0 ' ↔ adr = adr0; (s)% ⊦ adr ∈ adr0 ' + ax ↔ adr = adr0 ∨ adr ∈ ax; (s)% ⊦ dups(adr ' + ax) ↔ adr ∈ ax ∨ dups(ax); (s)% ⊦ new(adr ', fs) ↔ ¬ adr ∈ fs; (s)% ⊦ new(adr ' + log, fs) ↔ ¬ adr ∈ fs ∧ new(log, fs); (s)%a: ⊦ (ax + ax0) + ax1 = ax + ax0 + ax1; from specification list[address-list-set]% ⊦ ax + adr = ax + adr '; (s)