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Proof step 11 from proof inv-renam (previous step)

new_parent_inode.nlink = fs[ri[inodekey(new_parent_inode.ino)]].nlink, new_parent_inode.nsubdirs = fs[ri[inodekey(new_parent_inode.ino)]].nsubdirs, new_parent_inode.size = fs[ri[inodekey(new_parent_inode.ino)]].size, new_child_inode = mkinode(m0, md0, boolvar0, m1, m2, m3), old_child_inode = mkinode(fs[ri[dentrykey(m, str)]].ino, md1, boolvar1, m5, m6, m7), old_dent = mkdentry(str, fs[ri[dentrykey(m, str)]].ino), old_parent_inode = mkinode(m, md, true, fs[ri[inodekey(m)]].nlink, fs[ri[inodekey(m)]].nsubdirs, fs[ri[inodekey(m)]].size), fs[ri[inodekey(m)]].size ≠ 0, new_parent_inode.directory, fs[ri[inodekey(new_parent_inode.ino)]].directory, 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), inodekey(new_parent_inode.ino) ∈ ri, dentrykey(m, str) ∈ ri, inodekey(fs[ri[dentrykey(m, str)]].ino) ∈ ri, inodekey(m) ∈ ri, 1 ≤ fs[ri[inodekey(m)]].size, ¬ inodekey(m) ∈ ro, boolvar1 → 1 ≤ fs[ri[inodekey(m)]].nsubdirs, new_parent_inode.ino = m → new_parent_inode.meta = md, fs[ri[inodekey(m)]].nlink ≠ 0 ∨ m = ROOT_INO, ¬ fs[ri[inodekey(fs[ri[dentrykey(m, str)]].ino)]].directory ∧ ¬ boolvar1 ∧ m5 = fs[ri[inodekey(fs[ri[dentrykey(m, str)]].ino)]].nlink ∧ m6 = fs[ri[inodekey(fs[ri[dentrykey(m, str)]].ino)]].nsubdirs ∨ fs[ri[inodekey(fs[ri[dentrykey(m, str)]].ino)]].directory ∧ boolvar1 ∧ m5 = fs[ri[inodekey(fs[ri[dentrykey(m, str)]].ino)]].nlink ∧ m6 = fs[ri[inodekey(fs[ri[dentrykey(m, str)]].ino)]].nsubdirs ∧ m7 = fs[ri[inodekey(fs[ri[dentrykey(m, str)]].ino)]].size, new_dent.negdentry? ∧ (new_parent_inode.nlink ≠ 0 ∨ new_parent_inode.ino = ROOT_INO) ∧ ¬ inodekey(new_parent_inode.ino) ∈ ro ∧ ¬ dentrykey(new_parent_inode.ino, new_dent.name) ∈ ri ∨ new_dent.dentry? ∧ (new_parent_inode.nlink ≠ 0 ∨ new_parent_inode.ino = ROOT_INO) ∧ ¬ inodekey(new_parent_inode.ino) ∈ ro ∧ inodekey(new_dent.ino) ∈ ri ∧ dentrykey(new_parent_inode.ino, new_dent.name) ∈ ri ∧ fs[ri[dentrykey(new_parent_inode.ino, new_dent.name)]].ino = new_dent.ino ∧ ( ¬ fs[ri[inodekey(new_dent.ino)]].directory ∧ ¬ boolvar0 ∧ m1 = fs[ri[inodekey(new_dent.ino)]].nlink ∧ m2 = fs[ri[inodekey(new_dent.ino)]].nsubdirs ∨ fs[ri[inodekey(new_dent.ino)]].directory ∧ boolvar0 ∧ m1 = fs[ri[inodekey(new_dent.ino)]].nlink ∧ m2 = fs[ri[inodekey(new_dent.ino)]].nsubdirs ∧ m3 = fs[ri[inodekey(new_dent.ino)]].size) ∧ m0 = new_dent.ino ∧ (¬ fs[ri[inodekey(new_dent.ino)]].directory ↔ ¬ fs[ri[inodekey(fs[ri[dentrykey(m, str)]].ino)]].directory) ∧ (fs[ri[inodekey(new_dent.ino)]].directory → dentrykeys(inodekey(new_dent.ino), ri) = ∅) ∧ new_dent.ino ≠ ROOT_INO ∧ m1 ≠ 0 ∧ (m1 = 1 → links(new_dent.ino, fs, ri) = ∅ ++ dentrykey(new_parent_inode.ino, new_dent.name)) ⊦ ⟪aubifs_rename#(fi, fo; old_parent_inode, new_parent_inode, old_child_inode, new_child_inode, old_dent, new_dent, err, ri, ro, fs, log, boolvar)⟫ (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))

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 12:
boolvar2, m10 = fs[ri[inodekey(m4)]].size, m8 = fs[ri[inodekey(m4)]].nlink, m9 = fs[ri[inodekey(m4)]].nsubdirs, new_child_inode = mkinode(m0, md0, boolvar0, m1, m2, m3), new_parent_inode = mkinode(m4, md2, boolvar2, m8, m9, m10), old_child_inode = mkinode(fs[ri[dentrykey(m, str)]].ino, md1, boolvar1, m5, m6, m7), old_dent = mkdentry(str, fs[ri[dentrykey(m, str)]].ino), old_parent_inode = mkinode(m, md, true, fs[ri[inodekey(m)]].nlink, fs[ri[inodekey(m)]].nsubdirs, fs[ri[inodekey(m)]].size), fs[ri[inodekey(m)]].directory, fs[ri[inodekey(m4)]].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(fs[ri[dentrykey(m, str)]].ino) ∈ ri, dentrykey(m, str) ∈ ri, inodekey(m4) ∈ ri, 1 ≤ fs[ri[inodekey(m)]].size, m4 = m → md2 = md, boolvar1 → 1 ≤ fs[ri[inodekey(m)]].nsubdirs, new_dent.negdentry? ∧ (m8 ≠ 0 ∨ m4 = ROOT_INO) ∧ ¬ inodekey(m4) ∈ ro ∧ ¬ dentrykey(m4, new_dent.name) ∈ ri ∨ new_dent.dentry? ∧ (m8 ≠ 0 ∨ m4 = ROOT_INO) ∧ ¬ inodekey(m4) ∈ ro ∧ inodekey(new_dent.ino) ∈ ri ∧ dentrykey(m4, new_dent.name) ∈ ri ∧ fs[ri[dentrykey(m4, new_dent.name)]].ino = new_dent.ino ∧ ( ¬ fs[ri[inodekey(new_dent.ino)]].directory ∧ ¬ boolvar0 ∧ m1 = fs[ri[inodekey(new_dent.ino)]].nlink ∧ m2 = fs[ri[inodekey(new_dent.ino)]].nsubdirs ∨ fs[ri[inodekey(new_dent.ino)]].directory ∧ boolvar0 ∧ m1 = fs[ri[inodekey(new_dent.ino)]].nlink ∧ m2 = fs[ri[inodekey(new_dent.ino)]].nsubdirs ∧ m3 = fs[ri[inodekey(new_dent.ino)]].size) ∧ m0 = new_dent.ino ∧ (¬ fs[ri[inodekey(new_dent.ino)]].directory ↔ ¬ fs[ri[inodekey(fs[ri[dentrykey(m, str)]].ino)]].directory) ∧ (fs[ri[inodekey(new_dent.ino)]].directory → dentrykeys(inodekey(new_dent.ino), ri) = ∅) ∧ new_dent.ino ≠ ROOT_INO ∧ m1 ≠ 0 ∧ (m1 = 1 → links(new_dent.ino, fs, ri) = ∅ ++ dentrykey(m4, new_dent.name)), ¬ fs[ri[inodekey(fs[ri[dentrykey(m, str)]].ino)]].directory ∧ ¬ boolvar1 ∧ m5 = fs[ri[inodekey(fs[ri[dentrykey(m, str)]].ino)]].nlink ∧ m6 = fs[ri[inodekey(fs[ri[dentrykey(m, str)]].ino)]].nsubdirs ∨ fs[ri[inodekey(fs[ri[dentrykey(m, str)]].ino)]].directory ∧ boolvar1 ∧ m5 = fs[ri[inodekey(fs[ri[dentrykey(m, str)]].ino)]].nlink ∧ m6 = fs[ri[inodekey(fs[ri[dentrykey(m, str)]].ino)]].nsubdirs ∧ m7 = fs[ri[inodekey(fs[ri[dentrykey(m, str)]].ino)]].size, fs[ri[inodekey(m)]].nlink ≠ 0 ∨ m = ROOT_INO ⊦ ⟪aubifs_rename#(fi, fo; old_parent_inode, new_parent_inode, old_child_inode, new_child_inode, old_dent, new_dent, err, ri, ro, fs, log, boolvar)⟫ (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)), fs[ri[inodekey(m)]].size = 0, inodekey(m) ∈ ro

Rule argument

spec: inode name: elim seq: ⊦ ( ( ( (m = inode.ino ∧ md = inode.meta) ∧ (boolvar ↔ inode.directory)) ∧ m0 = inode.nlink) ∧ m1 = inode.nsubdirs) ∧ m2 = inode.size ↔ inode = mkinode(m, md, boolvar, m0, m1, m2) subst: [inode, m, md, boolvar, m0, m1, m2] → [new_parent_inode, m4, md2, boolvar2, m8, m9, m10]

Additional information

Used simplifier rules: ⊦ ( ( ( (m = inode.ino ∧ md = inode.meta) ∧ (boolvar ↔ inode.directory)) ∧ m0 = inode.nlink) ∧ m1 = inode.nsubdirs) ∧ m2 = inode.size ↔ inode = mkinode(m, md, boolvar, m0, m1, m2); (elim) Used terms: new_parent_inode, m4, md2, boolvar2, m8, m9, m10