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Proof step 161 from proof inv-link (previous step)

# links(ino1, dirs) = dirs[ino1].nlink, # links(entries0[str], dirs) = m2, dirs[ino1] = mkdir(dirs[ino1].size, md1, dirs[ino1].nlink, dirs[ino1].nsubdirs, entries), files[entries0[str]] = mkfile(m, md, m2, content), dirs[ino0] = mkdir(m0, md0, # links(ino0, dirs), m3, entries0), entries0[str] = dirs[ino].entries[str], files[entries0[str]] = mkfile(m1, md2, m2, content0), c_inode = mkinode(entries0[str], md, false, m2, 0, m), err0 = ESUCCESS, new_dent = negdentry(p.last), new_inode = mkinode(ino1, md1, true, dirs[ino1].nlink, dirs[ino1].nsubdirs, dirs[ino1].size), afs-cons(dirs, files), ispath(q, ROOT_INO, ino0, dirs, files), ispath(parent(p), ROOT_INO, ino1, dirs, files), of-cons(of, dirs, files), pw(user, md1), px(user, md0), px(user, md1), px-parent(user, q, ROOT_INO, dirs, files), px-parent(user, parent(p), ROOT_INO, dirs, files), str ∈ entries0, entries0[str] ∈ files, ino0 ∈ dirs, ino1 ∈ dirs, ino ∈ dirs, str ∈ dirs[ino].entries, links(ino0, dirs) ≠ ∅ ∨ ino0 = ROOT_INO, links(ino1, dirs) ≠ ∅ ∨ ino1 = ROOT_INO, links(ino, dirs) ≠ ∅ ∨ ino = ROOT_INO ⊦ [afs_link#(mkdentry(str, entries0[str]); new_inode, c_inode, new_dent, err0, dirs, files; asynced)] (afs-cons(dirs, files) → of-cons(of, dirs, files)), p = ε, p.last ∈ dirs[ino1].entries, entries0[str] ∈ dirs, p.last ∈ entries

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 162:
# links(ino1, dirs) = dirs[ino1].nlink, entries0[str] = dirs[ino].entries[str], dirs[ino0] = mkdir(m0, md0, # links(ino0, dirs), m3, entries0), files[entries0[str]] = mkfile(m1, md2, # links(entries0[str], dirs), content0), dirs[ino1] = mkdir(dirs[ino1].size, md1, dirs[ino1].nlink, dirs[ino1].nsubdirs, entries), c_inode = mkinode(entries0[str], md2, false, # links(entries0[str], dirs), 0, m1), err0 = ESUCCESS, new_dent = negdentry(p.last), new_inode = mkinode(ino1, md1, true, dirs[ino1].nlink, dirs[ino1].nsubdirs, dirs[ino1].size), p ≠ ε, afs-cons(dirs, files), ispath(parent(p), ROOT_INO, ino1, dirs, files), ispath(q, ROOT_INO, ino0, dirs, files), of-cons(of, dirs, files), pw(user, md1), px(user, md1), px(user, md0), px-parent(user, parent(p), ROOT_INO, dirs, files), px-parent(user, q, ROOT_INO, dirs, files), str ∈ dirs[ino].entries, ino ∈ dirs, ino1 ∈ dirs, ino0 ∈ dirs, entries0[str] ∈ files, str ∈ entries0, ¬ p.last ∈ entries, ¬ entries0[str] ∈ dirs, ¬ p.last ∈ dirs[ino1].entries, links(ino, dirs) ≠ ∅ ∨ ino = ROOT_INO, links(ino1, dirs) ≠ ∅ ∨ ino1 = ROOT_INO, links(ino0, dirs) ≠ ∅ ∨ ino0 = ROOT_INO ⊦ [afs_link#(mkdentry(str, entries0[str]); new_inode, c_inode, new_dent, err0, dirs, files; asynced)] (afs-cons(dirs, files) → of-cons(of, dirs, files))

Rule argument

Additional information

Used simplifier rules: ⊦ mkfile(m, md, m0, content) = mkfile(m1, md0, m2, content0) ↔ m = m1 ∧ md = md0 ∧ m0 = m2 ∧ content = content0; (ws)