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Proof step 20 from proof refine-rename-overwrite-reparent (previous step)

⟨afs_rename#(; old_inode, new_inode, old_child_inode0, new_dent_inode, old_dent0, old_dent1, err0, dirs, files; boolvar)⟩ ( old_inode = old_inode0 ∧ new_inode = new_inode0 ∧ old_child_inode0 = mkinode (fs[ri[dentrykey(m0, str)]].ino, md0, true, fs[ri[inodekey(fs[ri[dentrykey(m0, str)]].ino)]].nlink, fs[ri[inodekey(fs[ri[dentrykey(m0, str)]].ino)]].nsubdirs, fs[ri[inodekey(fs[ri[dentrykey(m0, str)]].ino)]].size) ∧ new_dent_inode = new_dent_inode0 ∧ old_dent0 = old_dent ∧ old_dent1 = old_dent2 ∧ err0 = err ∧ dirs = abs-dirs(fs0, ri0) ∧ files = abs-files(fs0, ri0) ∧ (boolvar ↔ boolvar1)), abs-children(fs[ri[dentrykey(m, str0)]].ino, fs, ri) = ∅, boolvar3, dirs = abs-dirs(fs, ri), files = abs-files(fs, ri), m1 = fs[ri[inodekey(m)]].nlink, m2 = fs[ri[inodekey(m)]].nsubdirs, m3 = fs[ri[inodekey(m)]].size, new_dent_inode = mkinode (fs[ri[dentrykey(m, str0)]].ino, md, true, fs[ri[inodekey(fs[ri[dentrykey(m, str0)]].ino)]].nlink, fs[ri[inodekey(fs[ri[dentrykey(m, str0)]].ino)]].nsubdirs, fs[ri[inodekey(fs[ri[dentrykey(m, str0)]].ino)]].size), new_inode = mkinode(m, md2, boolvar3, m1, m2, m3), old_child_inode0 = mkinode (fs[ri[dentrykey(m0, str)]].ino, md0, true, fs[ri[inodekey(fs[ri[dentrykey(m0, str)]].ino)]].nlink, fs[ri[inodekey(fs[ri[dentrykey(m0, str)]].ino)]].nsubdirs, fs[ri[inodekey(fs[ri[dentrykey(m0, str)]].ino)]].size), old_dent0 = mkdentry(str, fs[ri[dentrykey(m0, str)]].ino), old_dent1 = mkdentry(str0, fs[ri[dentrykey(m, str0)]].ino), old_inode = mkinode(m0, md1, true, fs[ri[inodekey(m0)]].nlink, fs[ri[inodekey(m0)]].nsubdirs, fs[ri[inodekey(m0)]].size), orphans(abs-dirs(fs0, ri0), abs-files(fs0, ri0)) = abs-keys(ro0), fs[ri[inodekey(fs[ri[dentrykey(m0, str)]].ino)]].directory, fs[ri[inodekey(m)]].directory, fs[ri[inodekey(fs[ri[dentrykey(m, str0)]].ino)]].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-inj(ri), ri-inj(fi), ubifs-cons(fs, ri, orphans(fs, ri), fi, fo, log), inodekey(m0) ∈ ri, inodekey(fs[ri[dentrykey(m0, str)]].ino) ∈ ri, inodekey(m) ∈ ri, dentrykey(m, str0) ∈ ri, inodekey(fs[ri[dentrykey(m, str0)]].ino) ∈ ri, dentrykey(m0, str) ∈ ri, boolvar → boolvar0, boolvar1 → boolvar2, links(m, abs-dirs(fs, ri)) ≠ ∅ ∨ m = ROOT_INO, links(m0, abs-dirs(fs, ri)) ≠ ∅ ∨ m0 = ROOT_INO ⊦ ⟨afs_rename#(; old_inode, new_inode, old_child_inode0, new_dent_inode, old_dent0, old_dent1, err0, dirs, files; boolvar)⟩ ( dirs = abs-dirs(fs0, ri0) ∧ files = abs-files(fs0, ri0) ∧ (boolvar → boolvar2) ∧ old_inode0 = old_inode ∧ new_inode0 = new_inode ∧ mkinode (fs[ri[dentrykey(m0, str)]].ino, md0, true, fs[ri[inodekey(fs[ri[dentrykey(m0, str)]].ino)]].nlink, fs[ri[inodekey(fs[ri[dentrykey(m0, str)]].ino)]].nsubdirs, fs[ri[inodekey(fs[ri[dentrykey(m0, str)]].ino)]].size) = old_child_inode0 ∧ new_dent_inode0 = new_dent_inode ∧ old_dent = old_dent0 ∧ old_dent2 = old_dent1 ∧ err = err0), fs[ri[dentrykey(m, str0)]].ino = ROOT_INO, m0 = m

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: ubifs-parent-in: ⊦ dentrykey(ino, str) ∈ ri ∧ ubifs-cons(fs, ri, ro, fi, fo, log) → inodekey(ino) ∈ ri; (forward) from specification aubifs-inv