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Proof step 494 from proof refine-rmdir (previous step)

1 = fs[ri[inodekey(m0)]].nlink, fs[ri[inodekey(m0)]] = inodenode(key1, md2, true, 1, fs[ri[inodekey(m0)]].nsubdirs, fs[ri[inodekey(m0)]].size), fs[ri[inodekey(m)]] = inodenode(key0, md1, true, m1, m2, m3), fs[ri[dentrykey(m, str)]] = dentrynode(key, m0), abs-children(m0, fs, ri) = ∅, dentrykeys(inodekey(m0), ri) = ∅, links(m0, fs, ri) = ∅ ++ dentrykey(m, str), p_ino = m, 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), inodekey(m) ∈ ri, ri[inodekey(m)] ∈ fs, inodekey(m0) ∈ ri, ri[inodekey(m0)] ∈ fs, ri[dentrykey(m, str)] ∈ fs, dentrykey(m, str) ∈ ri, 1 ≤ m2, 1 ≤ m3, abs-dirs(fs, ri)[p_ino, abs-dirs(fs, ri)[p_ino].entries:= (abs-dirs(fs, ri)[p_ino].entries -- str)] [p_ino, abs-dirs(fs, ri)[p_ino, abs-dirs(fs, ri)[p_ino].entries:= (abs-dirs(fs, ri)[p_ino].entries -- str)][p_ino] .size:= (abs-dirs(fs, ri)[p_ino, abs-dirs(fs, ri)[p_ino].entries:= (abs-dirs(fs, ri)[p_ino].entries -- str)][p_ino].size - 1) ] [p_ino ] .nsubdirs ≥ 1, abs-dirs(fs, ri)[p_ino, abs-dirs(fs, ri)[p_ino].entries:= (abs-dirs(fs, ri)[p_ino].entries -- str)][p_ino].size ≥ 1, ⌊err1⌋ , asynced → boolvar0, links(m, abs-dirs(fs, ri)) ≠ ∅ ∨ m = ROOT_INO, m1 ≠ 0 ∨ m = ROOT_INO ⊦ ⟨asynced := ?⟩ ((asynced → boolvar) ∧ err1 = err1), m = 0, m0 = ROOT_INO, m0 = 0, m2 = 0, m3 = 0, mkdentry(str, m0).dentry?, m1 = 0 ∧ m ≠ ROOT_INO

Heuristic symbolic execution applied rule assign right

And closed the goal!

Rule argument

Additional information

Used simplifier rules: ⊦ dirs[ino, ad][ino0] = (ino0 = ino ∧ ino ∈ dirs ⊃ ad;dirs[ino0]); (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).entries = entries; (s)%⊦ mkdir(m, md, m0, m1, entries).entries:= entries0 = mkdir(m, md, m0, m1, entries0); (s)% ⊦ dirs[ino, ad][ino, ad0] = dirs[ino, ad0]; (s)% ⊦ mkdir(m, md, m0, m1, entries).size = m; (s)%⊦ mkdir(m, md, m0, m1, entries).size:= m2 = mkdir(m2, md, m0, m1, entries); (s)% ⊦ n ≥ m ↔ m ≤ n; (s)% ⊦ mkdentry(str, m).dentry?; (s)