[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 38 from proof refine-evict (previous step)

fs[ri1[inodekey(m)]].nlink = 0, dirs = abs-dirs(fs, ri1), err = err0, files = abs-files(fs, ri1), inode = mkinode(m, md, boolvar2, m0, m1, m2), orphans(fs, ri1).inodes?, fo.inodes?, afs-cons(abs-dirs(fs, ri1), abs-files(fs, ri1)), file-node-cons(fs, ri1), log-cons(log, fs), orphans-cons(fs, ri1, orphans(fs, ri1)), pre-evict(inode, dirs, files), replay-cons-strong(fs, ri1, orphans(fs, ri1), fi, fo, log), ri-inj(ri1), ri-inj(fi), ubifs-cons(fs, ri1, orphans(fs, ri1), fi, fo, log), inodekey(m) ∈ ri1, asynced → boolvar1, ∀ ino. inodekey(ino) ∈ ri1 ∧ fs[ri1[inodekey(ino)]].nlink = 0 ∧ ino ≠ ROOT_INO → links(ino, fs, ri1) = ∅, ∀ ino. inodekey(ino) ∈ ri1 ∧ fs[ri1[inodekey(ino)]].nlink = 0 ∧ ino ≠ ROOT_INO → dentrykeys(inodekey(ino), ri1) = ∅, fs[ri1[inodekey(m)]].directory ∧ m0 = 0 ∧ m2 = fs[ri1[inodekey(m)]].size ∧ m1 = fs[ri1[inodekey(m)]].nsubdirs ∧ boolvar2 ∨ ¬ fs[ri1[inodekey(m)]].directory ∧ m0 = 0 ∧ m1 = 0 ∧ ¬ boolvar2 ⊦ [let ino = inode.ino in if ino ∈ dirs then if dirs[ino].nlink = 0 then dirs := dirs -- ino else if files[ino].nlink = 0 then files := files -- ino] ( afs-cons(dirs, files) → dirs = abs-dirs(fs, (ri1 \ datakeys(inodekey(m), ri1)) -- inodekey(m)) ∧ files = abs-files(fs, (ri1 \ datakeys(inodekey(m), ri1)) -- inodekey(m)) ∧ abs-keys(orphans(fs, (ri1 \ datakeys(inodekey(m), ri1)) -- inodekey(m))) = abs-keys(orphans(fs, ri1)) -- m ∧ (asynced → boolvar1) ∧ ESUCCESS = ESUCCESS), m = ROOT_INO

Heuristic symbolic execution applied rule let right

And obtained the following new goals

Rule argument

Additional information