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Proof step 12 from proof inv-rename-negdentry (previous step)

m1 = dirs[m0].entries[str], new_dent = negdentry(str0), new_parent_inode = mkinode(m, md, true, dirs[m].nlink, dirs[m].nsubdirs, dirs[m].size), old_child_inode = mkinode(m1, md1, boolvar, m2, m3, m4), old_dent = mkdentry(str, m1), old_parent_inode = mkinode(m0, md0, true, dirs[m0].nlink, dirs[m0].nsubdirs, dirs[m0].size), afs-cons(dirs, files), dcache-cons(dcache, dirs, files), icache-cons(icache, dirs, files), pcache-cons(pcache, dirs, files), synced(dirs, icache, pcache), str ∈ dirs[m0].entries, m0 ∈ dirs, m ∈ dirs, m = m0 → md = md0, asynced → synced(files, icache, pcache), m1 ∈ dirs ∨ m1 ∈ files, links(m0, dirs) ≠ ∅ ∨ m0 = ROOT_INO, links(m, dirs) ≠ ∅ ∨ m = ROOT_INO, m1 ∈ dirs ∧ m2 = dirs[m1].nlink ∧ m4 = dirs[m1].size ∧ m3 = dirs[m1].nsubdirs ∧ boolvar ∨ m1 ∈ files ∧ m2 = files[m1].nlink ∧ m3 = 0 ∧ ¬ boolvar ⊦ ⟪cache_rename# (; old_parent_inode, new_parent_inode, old_child_inode, new_child_inode, old_dent, new_dent, err, dirs, files, icache, dcache, asynced0)⟫ ( icache-cons(icache, dirs, files) ∧ dcache-cons(dcache, dirs, files) ∧ pcache-cons(pcache, dirs, files) ∧ afs-cons(dirs, files) ∧ synced(dirs, icache, pcache) ∧ (asynced → synced(files, icache, pcache))), str0 ∈ dirs[m].entries

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 13:
new_dent = negdentry(str0), new_parent_inode = mkinode(m, md, true, dirs[m].nlink, dirs[m].nsubdirs, dirs[m].size), old_child_inode = mkinode(dirs[m0].entries[str], md1, boolvar, m2, m3, m4), old_dent = mkdentry(str, dirs[m0].entries[str]), old_parent_inode = mkinode(m0, md0, true, dirs[m0].nlink, dirs[m0].nsubdirs, dirs[m0].size), afs-cons(dirs, files), dcache-cons(dcache, dirs, files), icache-cons(icache, dirs, files), pcache-cons(pcache, dirs, files), synced(dirs, icache, pcache), m ∈ dirs, m0 ∈ dirs, str ∈ dirs[m0].entries, ¬ str0 ∈ dirs[m].entries, asynced → synced(files, icache, pcache), m = m0 → md = md0, dirs[m0].entries[str] ∈ dirs ∧ m2 = dirs[dirs[m0].entries[str]].nlink ∧ m4 = dirs[dirs[m0].entries[str]].size ∧ m3 = dirs[dirs[m0].entries[str]].nsubdirs ∧ boolvar ∨ dirs[m0].entries[str] ∈ files ∧ m2 = files[dirs[m0].entries[str]].nlink ∧ m3 = 0 ∧ ¬ boolvar, links(m, dirs) ≠ ∅ ∨ m = ROOT_INO, links(m0, dirs) ≠ ∅ ∨ m0 = ROOT_INO, dirs[m0].entries[str] ∈ dirs ∨ dirs[m0].entries[str] ∈ files ⊦ ⟪cache_rename# (; old_parent_inode, new_parent_inode, old_child_inode, new_child_inode, old_dent, new_dent, err, dirs, files, icache, dcache, asynced0)⟫ ( icache-cons(icache, dirs, files) ∧ dcache-cons(dcache, dirs, files) ∧ pcache-cons(pcache, dirs, files) ∧ afs-cons(dirs, files) ∧ synced(dirs, icache, pcache) ∧ (asynced → synced(files, icache, pcache)))

Proof step 12 from proof inv-rename-negdentry (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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