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Proof step 931 from proof inv-renam (previous step)

isdir ↔ false, dirs[ino] = mkdir(m, md, # links(ino, dirs), m2, entries), dirs[ino1] = mkdir(m0, md0, # links(ino1, dirs), m3, entries0), dent = mkdentry(dent0.name, dirs[p_ino].entries[dent0.name]), dent0 = negdentry(str0), err = ESUCCESS, err0 = ESUCCESS, inode = (ino ∈ dirs ⊃ mkinode(ino, md, true, # links(ino, dirs), m2, m);mkinode(ino, files[ino].meta, false, files[ino].nlink, 0, files[ino].size)), p_ino = ino, p_inode = getinode(mkdentry(str, entries0[str]).ino, dirs, files), mkdentry(str, entries0[str]).dentry?, dom of < ino2, afs-cons(dirs, files), ispath(q0, ROOT_INO, ino, dirs, files), ispath(q, ROOT_INO, ino1, dirs, files), of-cons(of, dirs, files), pre-lookup(p_ino, dent0, dirs, files), pw(user, md0), px(user, md0), px(user, md), px-parent(user, q0, ROOT_INO, dirs, files), px-parent(user, q, ROOT_INO, dirs, files), ino1 ∈ dirs, entries0[str] ∈ files, ino ∈ dirs, dent0.name ∈ dirs[p_ino].entries, str ∈ entries0, links(ino1, dirs) ≠ ∅ ∨ ino1 = ROOT_INO ⊦ ⟪vfs_may_delete_check#(ino, user, dirs, files, asynced; inode, isdir, dent, p_inode, err); new_inode := inode; new_dent := dent; new_dent_inode := p_inode; if err = ESUCCESS then afs_check_commit#(dirs, files; err; asynced); if err = ESUCCESS then let dent = new_dent in {old_inode := (ino1 ∈ dirs ⊃ mkinode(ino1, md0, true, # links(ino1, dirs), m3, m0) ;mkinode(ino1, files[ino1].meta, false, files[ino1].nlink, 0, files[ino1].size) ); old_dent := mkdentry(str, entries0[str]); old_dent_inode := getinode(mkdentry(str, entries0[str]).ino, dirs, files); afs_rename#(; old_inode, new_inode, old_dent_inode, new_dent_inode, old_dent, new_dent, err, dirs, files; asynced); if dent.dentry? then vfs_put_inode#(new_dent_inode, of, asynced; err, dirs, files)}⟫ (of-cons(of, dirs, files) ∧ afs-cons(dirs, files)), entries0[str] ∈ dirs, q + str ' ⊑ q0 + str0 '

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 932:
dirs[ino] = mkdir(m, md, # links(ino, dirs), m2, entries), dirs[ino1] = mkdir(m0, md0, # links(ino1, dirs), m3, entries0), dent = mkdentry(str0, entries[str0]), err = ESUCCESS, inode = mkinode(ino, md, true, # links(ino, dirs), m2, m), ¬ isdir, p_inode = mkinode(entries0[str], files[entries0[str]].meta, false, files[entries0[str]].nlink, 0, files[entries0[str]].size), dom of < ino2, afs-cons(dirs, files), ispath(q0, ROOT_INO, ino, dirs, files), ispath(q, ROOT_INO, ino1, dirs, files), of-cons(of, dirs, files), pw(user, md0), px(user, md0), px(user, md), px-parent(user, q0, ROOT_INO, dirs, files), px-parent(user, q, ROOT_INO, dirs, files), str ∈ entries0, ino1 ∈ dirs, entries0[str] ∈ files, ino ∈ dirs, str0 ∈ entries, ¬ entries0[str] ∈ dirs, ¬ q + str ' ⊑ q0 + str0 ', links(ino, dirs) ≠ ∅ ∨ ino = ROOT_INO, links(ino1, dirs) ≠ ∅ ∨ ino1 = ROOT_INO ⊦ ⟪vfs_may_delete_check#(ino, user, dirs, files, asynced; inode, isdir, dent, p_inode, err); new_inode := inode; new_dent := dent; new_dent_inode := p_inode; if err = ESUCCESS then afs_check_commit#(dirs, files; err; asynced); if err = ESUCCESS then let dent = new_dent in {old_inode := (ino1 ∈ dirs ⊃ mkinode(ino1, md0, true, # links(ino1, dirs), m3, m0) ;mkinode(ino1, files[ino1].meta, false, files[ino1].nlink, 0, files[ino1].size) ); old_dent := mkdentry(str, entries0[str]); old_dent_inode := getinode(mkdentry(str, entries0[str]).ino, dirs, files); afs_rename#(; old_inode, new_inode, old_dent_inode, new_dent_inode, old_dent, new_dent, err, dirs, files; asynced); if dent.dentry? then vfs_put_inode#(new_dent_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)% ⊦ mkdentry(str, m).dentry?; (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)%⊦ getinode(ino, dirs, files) = (ino ∈ dirs ⊃ mkinode (ino, dirs[ino].meta, true, dirs[ino].nlink, dirs[ino].nsubdirs, dirs[ino].size) ;mkinode (ino, files[ino].meta, false, files[ino].nlink, 0, files[ino].size) ); (s)% ⊦ mkdentry(str, m).ino = m; (s)