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Proof step 205 from proof inv-link (previous step)

dirs0[ino2] = mkdir(m2, md1, # links(ino2, dirs0), m6, entries), entries0[str] = entries1[str], dirs0[ino0] = mkdir(m0, md0, # links(ino0, dirs0), m3, entries0), files0[entries1[str]] = mkfile(m, md3, # links(entries1[str], dirs0), content), dirs0[ino1] = mkdir(m1, md2, # links(ino1, dirs0), m5, entries2), entries[str] = entries1[str], dirs0[ino3] = mkdir(m4, md, # links(ino3, dirs0), m8, entries1), 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)], ino = inode.ino, inode = mkinode(entries[str], md3, false, # links(entries[str], dirs0), 0, m), mkdentry(str, entries0[str]).dentry?, afs-cons(dirs0, files0), ispath(parent(p), ROOT_INO, ino1, dirs0, files0), ispath(q, ROOT_INO, ino0, dirs0, files0), of-cons(of, dirs0, files0), pw(user, md2), px(user, md2), px(user, md0), px-parent(user, parent(p), ROOT_INO, dirs0, files0), px-parent(user, q, ROOT_INO, dirs0, files0), str ∈ entries, ino2 ∈ dirs0, ino0 ∈ dirs0, entries1[str] ∈ files0, str ∈ entries0, ino3 ∈ dirs0, str ∈ entries1, ino1 ∈ dirs0, ino ∈ files, links(ino2, dirs0) ≠ ∅ ∨ ino2 = ROOT_INO, links(ino1, dirs0) ≠ ∅ ∨ ino1 = ROOT_INO, links(ino0, dirs0) ≠ ∅ ∨ ino0 = ROOT_INO, links(ino3, dirs0) ≠ ∅ ∨ ino3 = ROOT_INO ⊦ [asynced := ?] ( afs-cons(dirs, files[ino, files[ino].size:= inode.size][ino, files[ino, files[ino].size:= inode.size][ino].meta:= inode.meta]) → of-cons(of, dirs, files[ino, files[ino].size:= inode.size][ino, files[ino, files[ino].size:= inode.size][ino].meta:= inode.meta])), p = ε, entries1[str] ∈ dirs0, p.last ∈ entries2

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: of-cons-reduce: ⊦ of-cons(of0, dirs0, files0) → ( of-cons(of1, dirs1, files1) ↔ (∀ n. (n ∈ of0 → of0[n].ino ∈ files0) → n ∈ of1 → of1[n].ino ∈ files1));% ⊦ mkinode(m, md, boolvar, m0, m1, m2).ino = m; (s)% ⊦ ino ∈ files[ino0, af] ↔ ino ∈ files; (s)% ⊦ files[ino, af][ino0] = (ino0 = ino ∧ ino ∈ files ⊃ af;files[ino0]); (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).size = m2; (s)% ⊦ mkfile(m, md, m0, content).size:= m1 = mkfile(m1, md, m0, content); (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).meta = md; (s)% ⊦ mkfile(m, md, m0, content).meta:= md0 = mkfile(m, md0, m0, content); (s)% ⊦ files[ino, af][ino, af0] = files[ino, af0]; (s)% ⊦ mkdentry(str, m).dentry?; (s)