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Proof step 8 from proof inv-rename-overwrite-keep-parent (previous step)

fs[ri[dentrykey(m, str0)]].ino = new_child_inode.ino, fs[ri[dentrykey(m, str)]].ino = old_child_inode.ino, ¬ fs[ri[inodekey(new_child_inode.ino)]].directory ↔ ¬ fs[ri[inodekey(old_child_inode.ino)]].directory, boolvar, m0 = fs[ri[inodekey(m)]].nlink, m1 = fs[ri[inodekey(m)]].nsubdirs, m2 = fs[ri[inodekey(m)]].size, new_dent = mkdentry(str0, new_child_inode.ino), old_dent = mkdentry(str, old_child_inode.ino), parent_inode = mkinode(m, md, boolvar, m0, m1, m2), fs[ri[inodekey(m)]].directory, ro.inodes?, fo.inodes?, file-node-cons(fs, ri), log-cons(log, fs), orphans-cons(fs, ri, ro), replay-cons-strong(fs, ri, ro, fi, fo, log), ri-inj(ri), ri-inj(fi), ubifs-cons(fs, ri, ro, fi, fo, log), inodekey(m) ∈ ri, inodekey(new_child_inode.ino) ∈ ri, dentrykey(m, str0) ∈ ri, inodekey(old_child_inode.ino) ∈ ri, dentrykey(m, str) ∈ ri, 1 ≤ m2, fs[ri[inodekey(new_child_inode.ino)]].directory → dentrykeys(inodekey(new_child_inode.ino), ri) = ∅, new_child_inode.nlink = 1 → links(new_child_inode.ino, fs, ri) = ∅ ++ dentrykey(m, str0), old_child_inode.directory → 1 ≤ m1, ¬ fs[ri[inodekey(old_child_inode.ino)]].directory ∧ ¬ new_child_inode.directory ∧ new_child_inode.nlink = fs[ri[inodekey(new_child_inode.ino)]].nlink ∧ new_child_inode.nsubdirs = fs[ri[inodekey(new_child_inode.ino)]].nsubdirs ∨ fs[ri[inodekey(new_child_inode.ino)]].directory ∧ new_child_inode.directory ∧ new_child_inode.nlink = fs[ri[inodekey(new_child_inode.ino)]].nlink ∧ new_child_inode.nsubdirs = fs[ri[inodekey(new_child_inode.ino)]].nsubdirs ∧ new_child_inode.size = fs[ri[inodekey(new_child_inode.ino)]].size, ¬ fs[ri[inodekey(old_child_inode.ino)]].directory ∧ ¬ old_child_inode.directory ∧ old_child_inode.nlink = fs[ri[inodekey(old_child_inode.ino)]].nlink ∧ old_child_inode.nsubdirs = fs[ri[inodekey(old_child_inode.ino)]].nsubdirs ∨ fs[ri[inodekey(old_child_inode.ino)]].directory ∧ old_child_inode.directory ∧ old_child_inode.nlink = fs[ri[inodekey(old_child_inode.ino)]].nlink ∧ old_child_inode.nsubdirs = fs[ri[inodekey(old_child_inode.ino)]].nsubdirs ∧ old_child_inode.size = fs[ri[inodekey(old_child_inode.ino)]].size, m0 ≠ 0 ∨ m = ROOT_INO ⊦ ⟪aubifs_rename_overwrite_keep_parent# (old_child_inode.directory, old_child_inode, fi, fo; parent_inode, new_child_inode, old_dent, new_dent, err, ri, ro, fs, log, boolvar0)⟫ (ubifs-cons(fs, ri, ro, fi, fo, log) ∧ replay-cons-strong(fs, ri, ro, fi, fo, log) ∧ file-node-cons(fs, ri) ∧ orphans-cons(fs, ri, ro)), new_child_inode.ino = ROOT_INO, new_child_inode.nlink = 0, m2 = 0, inodekey(m) ∈ ro

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
fs[ri[dentrykey(m, str)]].ino = old_child_inode.ino, fs[ri[dentrykey(m, str0)]].ino = new_child_inode.ino, ¬ fs[ri[inodekey(new_child_inode.ino)]].directory ↔ ¬ fs[ri[inodekey(old_child_inode.ino)]].directory, new_dent = mkdentry(str0, new_child_inode.ino), old_dent = mkdentry(str, old_child_inode.ino), parent_inode = mkinode(m, md, true, fs[ri[inodekey(m)]].nlink, fs[ri[inodekey(m)]].nsubdirs, fs[ri[inodekey(m)]].size), new_child_inode.ino ≠ ROOT_INO, new_child_inode.nlink ≠ 0, fs[ri[inodekey(m)]].size ≠ 0, fs[ri[inodekey(m)]].directory, fo.inodes?, ro.inodes?, file-node-cons(fs, ri), log-cons(log, fs), orphans-cons(fs, ri, ro), replay-cons-strong(fs, ri, ro, fi, fo, log), ri-inj(fi), ri-inj(ri), ubifs-cons(fs, ri, ro, fi, fo, log), dentrykey(m, str) ∈ ri, inodekey(old_child_inode.ino) ∈ ri, dentrykey(m, str0) ∈ ri, inodekey(new_child_inode.ino) ∈ ri, inodekey(m) ∈ ri, 1 ≤ fs[ri[inodekey(m)]].size, ¬ inodekey(m) ∈ ro, old_child_inode.directory → 1 ≤ fs[ri[inodekey(m)]].nsubdirs, new_child_inode.nlink = 1 → links(new_child_inode.ino, fs, ri) = ∅ ++ dentrykey(m, str0), fs[ri[inodekey(new_child_inode.ino)]].directory → dentrykeys(inodekey(new_child_inode.ino), ri) = ∅, fs[ri[inodekey(m)]].nlink ≠ 0 ∨ m = ROOT_INO, ¬ fs[ri[inodekey(old_child_inode.ino)]].directory ∧ ¬ old_child_inode.directory ∧ old_child_inode.nlink = fs[ri[inodekey(old_child_inode.ino)]].nlink ∧ old_child_inode.nsubdirs = fs[ri[inodekey(old_child_inode.ino)]].nsubdirs ∨ fs[ri[inodekey(old_child_inode.ino)]].directory ∧ old_child_inode.directory ∧ old_child_inode.nlink = fs[ri[inodekey(old_child_inode.ino)]].nlink ∧ old_child_inode.nsubdirs = fs[ri[inodekey(old_child_inode.ino)]].nsubdirs ∧ old_child_inode.size = fs[ri[inodekey(old_child_inode.ino)]].size, ¬ fs[ri[inodekey(old_child_inode.ino)]].directory ∧ ¬ new_child_inode.directory ∧ new_child_inode.nlink = fs[ri[inodekey(new_child_inode.ino)]].nlink ∧ new_child_inode.nsubdirs = fs[ri[inodekey(new_child_inode.ino)]].nsubdirs ∨ fs[ri[inodekey(new_child_inode.ino)]].directory ∧ new_child_inode.directory ∧ new_child_inode.nlink = fs[ri[inodekey(new_child_inode.ino)]].nlink ∧ new_child_inode.nsubdirs = fs[ri[inodekey(new_child_inode.ino)]].nsubdirs ∧ new_child_inode.size = fs[ri[inodekey(new_child_inode.ino)]].size ⊦ ⟪aubifs_rename_overwrite_keep_parent# (old_child_inode.directory, old_child_inode, fi, fo; parent_inode, new_child_inode, old_dent, new_dent, err, ri, ro, fs, log, boolvar0)⟫ (ubifs-cons(fs, ri, ro, fi, fo, log) ∧ replay-cons-strong(fs, ri, ro, fi, fo, log) ∧ file-node-cons(fs, ri) ∧ orphans-cons(fs, ri, ro))

Rule argument

Additional information

Used simplifier rules: not-zero: 0 < n ⊦ (* n) ≤ m → m ≠ 0; (forward) from specification nat%ubifs-parent-in: ⊦ dentrykey(ino, str) ∈ ri ∧ ubifs-cons(fs, ri, ro, fi, fo, log) → inodekey(ino) ∈ ri; (forward) from specification aubifs-inv