| 1 = fs[ri[inodekey(fs[ri[dentrykey(m, str)]].ino)]].nlink, abs-children(fs[ri[dentrykey(m, str)]].ino, fs, ri) = ∅, adr4 = adr1, c_inode = mkinode(m3, md0, true, 1, m5, m6), dent = mkdentry(str, fs[ri[dentrykey(m, str)]].ino), dentrykeys(inodekey(fs[ri[dentrykey(m, str)]].ino), ri) = ∅, dirs = abs-dirs(fs, ri), err = ENOSPC, files = abs-files(fs, ri), links(fs[ri[dentrykey(m, str)]].ino, fs, ri) = ∅ ++ dentrykey(m, str), m0 = fs[ri[inodekey(m)]].nlink, m1 = fs[ri[inodekey(m)]].nsubdirs, m2 = fs[ri[inodekey(m)]].size, m3 = fs[ri[dentrykey(m, str)]].ino, m5 = fs[ri[inodekey(fs[ri[dentrykey(m, str)]].ino)]].nsubdirs, m6 = fs[ri[inodekey(fs[ri[dentrykey(m, str)]].ino)]].size, nd = inodenode(inodekey(m3), md0, true, 0, m5, m6), nd0 = dentrynode(dentrykey(m, dent.name), 0), nd1 = inodenode(inodekey(m), md, true, m0, m1 - 1, m2 - 1), p_inode = mkinode(m, md, true, m0, m1, m2), ro = orphans(fs, ri), ro0 = orphans(fs, ri), fs[ri[inodekey(m)]].directory, fs[ri[inodekey(fs[ri[dentrykey(m, str)]].ino)]].directory, ro0.inodes?, 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), node-cons(nd.key, nd), node-cons(nd0.key, nd0), node-cons(nd1.key, nd1), 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-cons(ri, fs), ri-inj(fi), ri-inj(ri), ubifs-cons(fs, ri, ro0, fi, fo, log), ubifs-cons(fs, ri, orphans(fs, ri), fi, fo, log), dentrykey(m, str) ∈ ri, inodekey(fs[ri[dentrykey(m, str)]].ino) ∈ ri, inodekey(m) ∈ ri, 1 ≤ fs[ri[inodekey(m)]].size, 1 ≤ fs[ri[inodekey(m)]].nsubdirs, m1 ≥ 1, m2 ≥ 1, asynced → boolvar0, ∀ adr1, adr2, adr3. ¬(new(adr1 ' + (adr2 ' + adr3), fs) ∧ ¬ dups(adr1 ' + adr2 ' + adr3 ')), fs[ri[inodekey(m)]].nlink ≠ 0 ∨ m = ROOT_INO, links(m, abs-dirs(fs, ri)) ≠ ∅ ∨ m = ROOT_INO ⊦ ⟨old_dent := mkdentry(str, m3); p_inode0 := mkinode(m, md, true, m0, m1, m2); p_inode1 := mkinode(m3, md0, true, 1, m5, m6); afs_rmdir#(; 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), fs[ri[dentrykey(m, str)]].ino = ROOT_INO, fs[ri[inodekey(m)]].nsubdirs = 0, fs[ri[inodekey(m)]].size = 0, fs[ri[inodekey(m)]].nlink = 0 ∧ m ≠ ROOT_INO |
1 = fs[ri[inodekey(fs[ri[dentrykey(m, str)]].ino)]].nlink, abs-children(fs[ri[dentrykey(m, str)]].ino, fs, ri) = ∅, adr4 = adr1, c_inode = mkinode(m3, md0, true, 1, m5, m6), dent = mkdentry(str, fs[ri[dentrykey(m, str)]].ino), dentrykeys(inodekey(fs[ri[dentrykey(m, str)]].ino), ri) = ∅, dirs = abs-dirs(fs, ri), err = ENOSPC, files = abs-files(fs, ri), links(fs[ri[dentrykey(m, str)]].ino, fs, ri) = ∅ ++ dentrykey(m, str), m0 = fs[ri[inodekey(m)]].nlink, m1 = fs[ri[inodekey(m)]].nsubdirs, m2 = fs[ri[inodekey(m)]].size, m3 = fs[ri[dentrykey(m, str)]].ino, m5 = fs[ri[inodekey(fs[ri[dentrykey(m, str)]].ino)]].nsubdirs, m6 = fs[ri[inodekey(fs[ri[dentrykey(m, str)]].ino)]].size, nd = inodenode(inodekey(m3), md0, true, 0, m5, m6), nd0 = dentrynode(dentrykey(m, dent.name), 0), nd1 = inodenode(inodekey(m), md, true, m0, m1 - 1, m2 - 1), old_dent = mkdentry(str, m3), p_inode = mkinode(m, md, true, m0, m1, m2), ro = orphans(fs, ri), ro0 = orphans(fs, ri), fs[ri[inodekey(fs[ri[dentrykey(m, str)]].ino)]].directory, fs[ri[inodekey(m)]].directory, orphans(fs, ri).inodes?, fo.inodes?, ro0.inodes?, afs-cons(abs-dirs(fs, ri), abs-files(fs, ri)), file-node-cons(fs, ri), log-cons(log, fs), node-cons(nd1.key, nd1), node-cons(nd0.key, nd0), node-cons(nd.key, nd), orphans-cons(fs, ri, orphans(fs, ri)), orphans-cons(fs, ri, ro0), replay-cons-strong(fs, ri, orphans(fs, ri), fi, fo, log), replay-cons-strong(fs, ri, ro0, fi, fo, log), ri-cons(ri, fs), ri-inj(ri), ri-inj(fi), ubifs-cons(fs, ri, orphans(fs, ri), fi, fo, log), ubifs-cons(fs, ri, ro0, fi, fo, log), inodekey(m) ∈ ri, inodekey(fs[ri[dentrykey(m, str)]].ino) ∈ ri, dentrykey(m, str) ∈ ri, 1 ≤ fs[ri[inodekey(m)]].nsubdirs, 1 ≤ fs[ri[inodekey(m)]].size, m2 ≥ 1, m1 ≥ 1, asynced → boolvar0, ∀ adr1, adr2, adr3. ¬(new(adr1 ' + (adr2 ' + adr3), fs) ∧ ¬ dups(adr1 ' + adr2 ' + adr3 ')), links(m, abs-dirs(fs, ri)) ≠ ∅ ∨ m = ROOT_INO, fs[ri[inodekey(m)]].nlink ≠ 0 ∨ m = ROOT_INO ⊦ ⟨p_inode0 := mkinode(m, md, true, m0, m1, m2); p_inode1 := mkinode(m3, md0, true, 1, m5, m6); afs_rmdir#(; 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), fs[ri[dentrykey(m, str)]].ino = ROOT_INO, fs[ri[inodekey(m)]].nsubdirs = 0, fs[ri[inodekey(m)]].size = 0, fs[ri[inodekey(m)]].nlink = 0 ∧ m ≠ ROOT_INO