[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 1454 from proof refine-rename-overwrite-reparent-dir (previous step)

m14 + 1 = fs[ri[inodekey(m0)]].nlink, boolvar0 ↔ true, fs[ri[inodekey(m7)]] = inodenode(key3, md5, true, m5, m6, m8), fs[ri[inodekey(m0)]] = inodenode(key4, md6, true, m14 + 1, fs[ri[inodekey(m0)]].nsubdirs, fs[ri[inodekey(m0)]].size), fs[ri[inodekey(m11)]] = inodenode(key2, md4, true, m4, m16 + 1, m13 + 1), fs[ri[dentrykey(m7, str0)]] = dentrynode(key0, m0), fs[ri[dentrykey(m11, str)]] = dentrynode(key, m), fs[ri[inodekey(m)]] = inodenode(key1, md3, true, fs[ri[inodekey(m)]].nlink, fs[ri[inodekey(m)]].nsubdirs, fs[ri[inodekey(m)]].size), abs-children(m0, fs, ri) = ∅, dentrykeys(inodekey(m0), ri) = ∅, new_ino = m7, old_ino = m11, fs[ri[inodekey(m)]].directory, fs[ri[inodekey(m0)]].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)), 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(m11, str) ∈ ri, ri[dentrykey(m11, str)] ∈ fs, inodekey(m11) ∈ ri, ri[inodekey(m11)] ∈ fs, dentrykey(m7, str0) ∈ ri, ri[dentrykey(m7, str0)] ∈ fs, ri[inodekey(m0)] ∈ fs, inodekey(m0) ∈ ri, ri[inodekey(m7)] ∈ fs, inodekey(m7) ∈ ri, ri[inodekey(m)] ∈ fs, inodekey(m) ∈ ri, ⌊err1⌋ , m14 = 0 → links(m0, fs, ri) = ∅ ++ dentrykey(m7, str0), boolvar2 → boolvar, links(m7, abs-dirs(fs, ri)) ≠ ∅ ∨ m7 = ROOT_INO, links(m11, abs-dirs(fs, ri)) ≠ ∅ ∨ m11 = ROOT_INO, m5 ≠ 0 ∨ m7 = ROOT_INO, m4 ≠ 0 ∨ m11 = ROOT_INO ⊦ ⟨let boolvar = old_ino = new_ino ∧ mkdentry(str0, m0) = mkdentry(str, m) in {dirs := abs-dirs(fs, ri)[old_ino, abs-dirs(fs, ri)[old_ino].entries:= (abs-dirs(fs, ri)[old_ino].entries -- str)]; old_dent := mkdentry(str, m); if ¬ boolvar then {dirs[old_ino].size := dirs[old_ino].size - 1; if old_dent.ino ∈ dirs then dirs[old_ino].nsubdirs := dirs[old_ino].nsubdirs - 1}; dirs[new_ino].entries[str0] := old_dent.ino; new_dent := mkdentry(str0, m0); files := abs-files(fs, ri); if boolvar0 ∧ ¬ boolvar then let ino = new_dent.ino in afs_drop_nlink#(ino; dirs, files); if ¬ boolvar0 then {dirs[new_ino].size := dirs[new_ino].size + 1; if old_dent.ino ∈ dirs then dirs[new_ino].nsubdirs := dirs[new_ino].nsubdirs + 1}; new_dent := mkdentry(new_dent.name, old_dent.ino); old_dent := negdentry(old_dent.name); afs_inode_sync#(mkinode(m11, md2, true, m4, m16 + 1, m13 + 1); dirs, files); afs_inode_sync#(mkinode(m7, md1, true, m5, m6, m8); dirs, files); new_child_inode := mkinode(m0, md0, true, m14 + 1, fs[ri[inodekey(dentrynode(key0, m0).ino)]].nsubdirs, fs[ri[inodekey(dentrynode(key0, m0).ino)]].size); if boolvar0 then {afs_inode_sync#(new_child_inode; dirs, files); new_child_inode := (new_child_inode.ino ∈ dirs ⊃ mkinode (new_child_inode.ino, dirs[new_child_inode.ino].meta, true, dirs[new_child_inode.ino].nlink, dirs[new_child_inode.ino].nsubdirs, dirs[new_child_inode.ino].size) ;mkinode (new_child_inode.ino, files[new_child_inode.ino].meta, false, files[new_child_inode.ino].nlink, 0, files[new_child_inode.ino].size) )}; old_inode := (m11 ∈ dirs ⊃ mkinode(m11, dirs[m11].meta, true, dirs[m11].nlink, dirs[m11].nsubdirs, dirs[m11].size) ;mkinode(m11, files[m11].meta, false, files[m11].nlink, 0, files[m11].size) ); new_inode := (m7 ∈ dirs ⊃ mkinode(m7, dirs[m7].meta, true, dirs[m7].nlink, dirs[m7].nsubdirs, dirs[m7].size) ;mkinode(m7, files[m7].meta, false, files[m7].nlink, 0, files[m7].size) ); err := ESUCCESS}; asynced := ?⟩ ( dirs = abs-dirs(fs, ri) ∧ files = abs-files(fs, ri) ∧ (asynced → boolvar1) ∧ mkinode(m11, md2, true, m4, m16 + 1, m13 + 1) = old_inode ∧ mkinode(m7, md1, true, m5, m6, m8) = new_inode ∧ mkinode(m0, md0, true, m14 + 1, fs[ri[inodekey(m0)]].nsubdirs, fs[ri[inodekey(m0)]].size) = new_child_inode ∧ mkdentry(str, m) = old_dent ∧ mkdentry(str0, m0) = new_dent ∧ err1 = err), ⟨err := err1; asynced := ?⟩ ((asynced → boolvar1) ∧ err1 = err), m0 = ROOT_INO, m0 = 0, m11 = m7, m11 = 0, m7 = 0, m4 = 0 ∧ m11 ≠ ROOT_INO, m5 = 0 ∧ m7 ≠ ROOT_INO

Heuristic symbolic execution applied rule let right

And obtained the following new goals

Rule argument

Additional information