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Proof step 54 from proof refine-evict (previous step)

fs[ri1[inodekey(m)]].nlink = 0, dirs = abs-dirs(fs, ri1), err = err0, files = abs-files(fs, ri1), ino = inode.ino, inode = mkinode(m, md, boolvar2, m0, m1, m2), fo.inodes?, orphans(fs, ri1).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(fi), ri-inj(ri1), ubifs-cons(fs, ri1, orphans(fs, ri1), fi, fo, log), inodekey(m) ∈ ri1, ino ∈ dirs, asynced → boolvar1, ∀ ino. inodekey(ino) ∈ ri1 ∧ fs[ri1[inodekey(ino)]].nlink = 0 ∧ ino ≠ ROOT_INO → dentrykeys(inodekey(ino), ri1) = ∅, ∀ ino. inodekey(ino) ∈ ri1 ∧ fs[ri1[inodekey(ino)]].nlink = 0 ∧ ino ≠ ROOT_INO → links(ino, fs, 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 ⊦ [skip] ( 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), dirs[ino].nlink = 0, m = ROOT_INO

Heuristic symbolic execution applied rule skip right

And closed the goal!

Rule argument

Additional information

Used simplifier rules: ⊦ mkinode(m, md, boolvar, m0, m1, m2).ino = m; (s)%⊦ ino ∈ abs-dirs(fs, ri) ↔ inodekey(ino) ∈ ri ∧ fs[ri[inodekey(ino)]].directory; (s)%⊦ inodekey(ino) ∈ ri ∧ fs[ri[inodekey(ino)]].directory → abs-dirs(fs, ri)[ino] = abs-dir(ino, fs, ri); (s)%⊦ abs-dir(ino, fs, ri) = mkdir (fs[ri[inodekey(ino)]].size, fs[ri[inodekey(ino)]].meta, fs[ri[inodekey(ino)]].nlink, fs[ri[inodekey(ino)]].nsubdirs, abs-children(ino, fs, ri)); (s)% ⊦ mkdir(m, md, m0, m1, entries).nlink = m0; (s)