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Proof step 189 from proof inv-link (previous step)

dirs0[ino3] = mkdir(m4, md, # links(ino3, dirs0), m8, entries1), entries[str] = entries1[str], dirs0[ino1] = mkdir(m1, md2, # links(ino1, dirs0), m5, entries2), files0[entries1[str]] = mkfile(m, md3, # links(entries1[str], dirs0), content), dirs0[ino0] = mkdir(m0, md0, # links(ino0, dirs0), m3, entries0), entries0[str] = entries1[str], dirs0[ino2] = mkdir(m2, md1, # links(ino2, dirs0), m6, entries), dirs = dirs0[ino1, mkdir(m1 + 1, md2, # links(ino1, dirs0), m5, entries2[p.last, entries1[str]])], files = files0[entries1[str], mkfile(m, md3, # links(entries1[str], dirs0) + 1, content)], inode = mkinode(ino1, md2, true, # links(ino1, dirs0), m5, m1), afs-cons(dirs0, files0), ispath(q, ROOT_INO, ino0, dirs0, files0), ispath(parent(p), ROOT_INO, ino1, dirs0, files0), of-cons(of, dirs0, files0), pw(user, md2), px(user, md0), px(user, md2), px-parent(user, q, ROOT_INO, dirs0, files0), px-parent(user, parent(p), ROOT_INO, dirs0, files0), str ∈ entries1, ino3 ∈ dirs0, str ∈ entries0, entries1[str] ∈ files0, ino0 ∈ dirs0, ino1 ∈ dirs0, ino2 ∈ dirs0, str ∈ entries, links(ino3, dirs0) ≠ ∅ ∨ ino3 = ROOT_INO, links(ino0, dirs0) ≠ ∅ ∨ ino0 = ROOT_INO, links(ino1, dirs0) ≠ ∅ ∨ ino1 = ROOT_INO, links(ino2, dirs0) ≠ ∅ ∨ ino2 = ROOT_INO ⊦ [let ino = inode.ino in if ino ∈ files then {files[ino].size := inode.size; files[ino].meta := inode.meta} else if ino ∈ dirs then dirs[ino].meta := inode.meta; afs_inode_sync#(mkinode(entries[str], md3, false, # links(entries[str], dirs0), 0, m); dirs, files); new_inode := (ino1 ∈ dirs ⊃ mkinode(ino1, dirs[ino1].meta, true, dirs[ino1].nlink, dirs[ino1].nsubdirs, dirs[ino1].size) ;mkinode(ino1, files[ino1].meta, false, files[ino1].nlink, 0, files[ino1].size) ); c_inode := getinode(mkdentry(str, entries0[str]).ino, dirs, files); err := ESUCCESS; asynced := ?] (afs-cons(dirs, files) → of-cons(of, dirs, files)), p = ε, entries1[str] ∈ dirs0, p.last ∈ entries2

Heuristic symbolic execution applied rule let right

And obtained the following new goals

Rule argument

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