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Proof step 65 from proof inv-rmdir (previous step)

isdir ↔ true, dirs[ino1] = mkdir(m, md, # links(ino1, dirs), m1, entries), dent = mkdentry(dent0.name, dirs[p_ino].entries[dent0.name]), dent0 = negdentry(str), err = ESUCCESS, err0 = ESUCCESS, p_ino = ino1, dom of < ino0, afs-cons(dirs, files), ispath(q, ROOT_INO, ino1, dirs, files), of-cons(of, dirs, files), pre-lookup(p_ino, dent0, dirs, files), pw(user, md), px(user, md), px-parent(user, q, ROOT_INO, dirs, files), dent0.name ∈ dirs[p_ino].entries, ino1 ∈ dirs ⊦ ⟪afs_iget#(dent.ino, dirs, files, asynced; p_inode, err); if err = ESUCCESS then {isdir := p_inode.directory; if isdir then if p_inode.ino = ROOT_INO then err := EACCESS else if p_inode.size ≠ 0 then err := ENOTEMPTY}; isdir1 := true; isdir0 := isdir; if isdir1 ∧ ¬ isdir0 then err := ENOTDIR; if ¬ isdir1 ∧ isdir0 then err := EISDIR; if err = ESUCCESS then afs_check_commit#(dirs, files; err; asynced); if err = ESUCCESS then {inode := (ino1 ∈ dirs ⊃ mkinode(ino1, md, true, # links(ino1, dirs), m1, m) ;mkinode(ino1, files[ino1].meta, false, files[ino1].nlink, 0, files[ino1].size) ); afs_rmdir#(; inode, p_inode, dent, err, dirs, files; asynced); vfs_put_inode#(p_inode, of, asynced; err, dirs, files)}⟫ (of-cons(of, dirs, files) ∧ afs-cons(dirs, files))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 66:
dirs[ino1] = mkdir(m, md, # links(ino1, dirs), m1, entries), err = ESUCCESS, dom of < ino0, afs-cons(dirs, files), ispath(q, ROOT_INO, ino1, dirs, files), of-cons(of, dirs, files), pw(user, md), px(user, md), px-parent(user, q, ROOT_INO, dirs, files), ino1 ∈ dirs, str ∈ entries, links(ino1, dirs) ≠ ∅ ∨ ino1 = ROOT_INO ⊦ ⟪afs_iget#(mkdentry(str, entries[str]).ino, dirs, files, asynced; p_inode, err); isdir := true; if err = ESUCCESS then {isdir := p_inode.directory; if isdir then if p_inode.ino = ROOT_INO then err := EACCESS else if p_inode.size ≠ 0 then err := ENOTEMPTY}; isdir1 := true; isdir0 := isdir; if isdir1 ∧ ¬ isdir0 then err := ENOTDIR; if ¬ isdir1 ∧ isdir0 then err := EISDIR; if err = ESUCCESS then afs_check_commit#(dirs, files; err; asynced); if err = ESUCCESS then {inode := (ino1 ∈ dirs ⊃ mkinode(ino1, md, true, # links(ino1, dirs), m1, m) ;mkinode(ino1, files[ino1].meta, false, files[ino1].nlink, 0, files[ino1].size) ); dent := mkdentry(str, dirs[ino1].entries[str]); afs_rmdir#(; inode, p_inode, dent, err, dirs, files; asynced); vfs_put_inode#(p_inode, of, asynced; err, dirs, files)}⟫ (of-cons(of, dirs, files) ∧ afs-cons(dirs, files))

Rule argument

Additional information

Used simplifier rules: ⊦ mkdir(m, md, m0, m1, entries).entries = entries; (s)%⊦ valid-parent-ino(ino, dirs, files) ↔ ino ∈ dirs ∧ (links(ino, dirs) ≠ ∅ ∨ ino = ROOT_INO); (s)%⊦ pre-lookup(p_ino, dent, dirs, files) ↔ valid-parent-ino(p_ino, dirs, files); (s)% ⊦ negdentry(str).name = str; (s)