| fs[ri[dentrykey(ino1, str)]].ino = fs[ri[dentrykey(ino0, str)]].ino, fs[ri[dentrykey(ino, str)]].ino = fs[ri[dentrykey(ino0, str)]].ino, 0 = fs[ri[inodekey(fs[ri[dentrykey(ino0, str)]].ino)]].nsubdirs, c_inode = p_inode1, dirs = abs-dirs(fs, ri), err = err0, files = abs-files(fs, ri), new_dent = old_dent0, old_dent = mkdentry(str, fs[ri[dentrykey(ino0, str)]].ino), old_dent0 = negdentry(str0), p_inode = p_inode0, p_inode0 = mkinode(m, md, true, fs[ri[inodekey(m)]].nlink, fs[ri[inodekey(m)]].nsubdirs, fs[ri[inodekey(m)]].size), p_inode1 = mkinode(fs[ri[dentrykey(ino0, str)]].ino, md0, false, fs[ri[inodekey(fs[ri[dentrykey(ino0, str)]].ino)]].nlink, 0, m6), fs[ri[dentrykey(ino0, str)]].dentry?, fs[ri[inodekey(ino0)]].directory, fs[ri[inodekey(m)]].directory, fs[ri[inodekey(ino1)]].directory, fs[ri[inodekey(ino)]].directory, 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)), pre-link(p_inode, c_inode, old_dent, new_dent, dirs, files), replay-cons-strong(fs, ri, orphans(fs, ri), fi, fo, log), ri-cons(ri, fs), ri-inj(ri), ri-inj(fi), ubifs-cons(fs, ri, orphans(fs, ri), fi, fo, log), dentrykey(ino0, str) ∈ ri, inodekey(ino0) ∈ ri, inodekey(m) ∈ ri, dentrykey(ino1, str) ∈ ri, inodekey(fs[ri[dentrykey(ino0, str)]].ino) ∈ ri, inodekey(ino1) ∈ ri, inodekey(ino) ∈ ri, dentrykey(ino, str) ∈ ri, ri[dentrykey(ino0, str)] ∈ fs, asynced → boolvar0, ∀ adr, adr0, adr1. adr ∈ fs ∨ adr0 ∈ fs ∨ adr1 ∈ fs ∨ adr = adr0 ∨ adr = adr1 ∨ adr0 = adr1, links(fs[ri[dentrykey(ino0, str)]].ino, abs-dirs(fs, ri)) ≠ ∅ ∨ fs[ri[dentrykey(ino0, str)]].ino = ROOT_INO, links(m, abs-dirs(fs, ri)) ≠ ∅ ∨ m = ROOT_INO, links(ino0, abs-dirs(fs, ri)) ≠ ∅ ∨ ino0 = ROOT_INO, fs[ri[inodekey(m)]].nlink ≠ 0 ∨ m = ROOT_INO, fs[ri[inodekey(ino1)]].nlink ≠ 0 ∨ ino1 = ROOT_INO, fs[ri[inodekey(ino)]].nlink ≠ 0 ∨ ino = ROOT_INO, fs[ri[inodekey(fs[ri[dentrykey(ino0, str)]].ino)]].nlink ≠ 0 ∨ fs[ri[dentrykey(ino0, str)]].ino = ROOT_INO ⊦ ⟨ let p_ino = p_inode.ino in {dirs[p_ino].entries[new_dent.name] := old_dent.ino; dirs[p_ino].size := dirs[p_ino].size + 1; let ino = old_dent.ino in afs_inc_nlink#(ino; dirs, files); new_dent := mkdentry(new_dent.name, old_dent.ino); afs_inode_sync#(p_inode; dirs, files); afs_inode_sync#(c_inode; dirs, files); p_inode := getinode(p_inode.ino, dirs, files); c_inode := getinode(old_dent.ino, dirs, files); err := ESUCCESS} or fail#(; ; err); asynced := ?⟩ ( dirs = abs-dirs(fs, ri) ∧ files = abs-files(fs, ri) ∧ (asynced → boolvar) ∧ mkinode(m, md, true, fs[ri[inodekey(m)]].nlink, fs[ri[inodekey(m)]].nsubdirs, fs[ri[inodekey(m)]].size) = p_inode ∧ mkinode(fs[ri[dentrykey(ino0, str)]].ino, md0, false, fs[ri[inodekey(fs[ri[dentrykey(ino0, str)]].ino)]].nlink, 0, m6) = c_inode ∧ negdentry(str0) = new_dent ∧ ENOSPC = err), fs[ri[dentrykey(ino0, str)]].ino = 0, m = 0, fs[ri[inodekey(fs[ri[dentrykey(ino0, str)]].ino)]].directory, dentrykey(m, str0) ∈ ri, fs[ri[inodekey(ino1)]].nlink = 0 ∧ ino1 ≠ ROOT_INO, fs[ri[inodekey(m)]].nlink = 0 ∧ m ≠ ROOT_INO, fs[ri[inodekey(fs[ri[dentrykey(ino0, str)]].ino)]].nlink = 0 ∧ fs[ri[dentrykey(ino0, str)]].ino ≠ ROOT_INO |
fs[ri[dentrykey(ino, str)]].ino = fs[ri[dentrykey(ino0, str)]].ino, fs[ri[dentrykey(ino1, str)]].ino = fs[ri[dentrykey(ino0, str)]].ino, 0 = fs[ri[inodekey(fs[ri[dentrykey(ino0, str)]].ino)]].nsubdirs, c_inode = p_inode1, dirs = abs-dirs(fs, ri), err = err0, files = abs-files(fs, ri), new_dent = old_dent0, old_dent = mkdentry(str, fs[ri[dentrykey(ino0, str)]].ino), old_dent0 = negdentry(str0), p_inode = p_inode0, p_inode0 = mkinode(m, md, true, fs[ri[inodekey(m)]].nlink, fs[ri[inodekey(m)]].nsubdirs, fs[ri[inodekey(m)]].size), p_inode1 = mkinode(fs[ri[dentrykey(ino0, str)]].ino, md0, false, fs[ri[inodekey(fs[ri[dentrykey(ino0, str)]].ino)]].nlink, 0, m6), fs[ri[dentrykey(ino0, str)]].dentry?, fs[ri[inodekey(ino)]].directory, fs[ri[inodekey(ino1)]].directory, fs[ri[inodekey(m)]].directory, fs[ri[inodekey(ino0)]].directory, fo.inodes?, orphans(fs, ri).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)), pre-link(p_inode, c_inode, old_dent, new_dent, dirs, files), replay-cons-strong(fs, ri, orphans(fs, ri), fi, fo, log), ri-cons(ri, fs), ri-inj(fi), ri-inj(ri), ubifs-cons(fs, ri, orphans(fs, ri), fi, fo, log), ri[dentrykey(ino0, str)] ∈ fs, dentrykey(ino, str) ∈ ri, inodekey(ino) ∈ ri, inodekey(ino1) ∈ ri, inodekey(fs[ri[dentrykey(ino0, str)]].ino) ∈ ri, dentrykey(ino1, str) ∈ ri, inodekey(m) ∈ ri, inodekey(ino0) ∈ ri, dentrykey(ino0, str) ∈ ri, asynced → boolvar0, ∀ adr, adr0, adr1. adr ∈ fs ∨ adr0 ∈ fs ∨ adr1 ∈ fs ∨ adr = adr0 ∨ adr = adr1 ∨ adr0 = adr1, fs[ri[inodekey(fs[ri[dentrykey(ino0, str)]].ino)]].nlink ≠ 0 ∨ fs[ri[dentrykey(ino0, str)]].ino = ROOT_INO, fs[ri[inodekey(ino)]].nlink ≠ 0 ∨ ino = ROOT_INO, fs[ri[inodekey(ino1)]].nlink ≠ 0 ∨ ino1 = ROOT_INO, fs[ri[inodekey(m)]].nlink ≠ 0 ∨ m = ROOT_INO, links(ino0, abs-dirs(fs, ri)) ≠ ∅ ∨ ino0 = ROOT_INO, links(m, abs-dirs(fs, ri)) ≠ ∅ ∨ m = ROOT_INO, links(fs[ri[dentrykey(ino0, str)]].ino, abs-dirs(fs, ri)) ≠ ∅ ∨ fs[ri[dentrykey(ino0, str)]].ino = ROOT_INO ⊦ ⟨fail#(; ; err); asynced := ?⟩ ( dirs = abs-dirs(fs, ri) ∧ files = abs-files(fs, ri) ∧ (asynced → boolvar) ∧ mkinode(m, md, true, fs[ri[inodekey(m)]].nlink, fs[ri[inodekey(m)]].nsubdirs, fs[ri[inodekey(m)]].size) = p_inode ∧ mkinode(fs[ri[dentrykey(ino0, str)]].ino, md0, false, fs[ri[inodekey(fs[ri[dentrykey(ino0, str)]].ino)]].nlink, 0, m6) = c_inode ∧ negdentry(str0) = new_dent ∧ ENOSPC = err), ⟨let p_ino = p_inode.ino in {dirs[p_ino].entries[new_dent.name] := old_dent.ino; dirs[p_ino].size := dirs[p_ino].size + 1; let ino = old_dent.ino in afs_inc_nlink#(ino; dirs, files); new_dent := mkdentry(new_dent.name, old_dent.ino); afs_inode_sync#(p_inode; dirs, files); afs_inode_sync#(c_inode; dirs, files); p_inode := getinode(p_inode.ino, dirs, files); c_inode := getinode(old_dent.ino, dirs, files); err := ESUCCESS}; asynced := ?⟩ ( dirs = abs-dirs(fs, ri) ∧ files = abs-files(fs, ri) ∧ (asynced → boolvar) ∧ mkinode(m, md, true, fs[ri[inodekey(m)]].nlink, fs[ri[inodekey(m)]].nsubdirs, fs[ri[inodekey(m)]].size) = p_inode ∧ mkinode(fs[ri[dentrykey(ino0, str)]].ino, md0, false, fs[ri[inodekey(fs[ri[dentrykey(ino0, str)]].ino)]].nlink, 0, m6) = c_inode ∧ negdentry(str0) = new_dent ∧ ENOSPC = err), fs[ri[dentrykey(ino0, str)]].ino = 0, m = 0, fs[ri[inodekey(fs[ri[dentrykey(ino0, str)]].ino)]].directory, dentrykey(m, str0) ∈ ri, fs[ri[inodekey(fs[ri[dentrykey(ino0, str)]].ino)]].nlink = 0 ∧ fs[ri[dentrykey(ino0, str)]].ino ≠ ROOT_INO, fs[ri[inodekey(m)]].nlink = 0 ∧ m ≠ ROOT_INO, fs[ri[inodekey(ino1)]].nlink = 0 ∧ ino1 ≠ ROOT_INO