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Proof step 110 from proof inv-renam (previous step)

dirs[ino1] = mkdir(m0, md0, # links(ino1, dirs), m3, entries0), dirs[entries0[str]] = mkdir(m, md, # links(entries0[str], dirs), m2, entries), err0 = ESUCCESS, inode = mkinode(ino1, md0, true, # links(ino1, dirs), m3, m0), dom of < ino2, afs-cons(dirs, files), ispath(q, ROOT_INO, ino1, dirs, files), of-cons(of, dirs, files), pw(user, md), pw(user, md0), px(user, md0), px-parent(user, q, ROOT_INO, dirs, files), entries0[str] ∈ dirs, ino1 ∈ dirs, str ∈ entries0, links(ino1, dirs) ≠ ∅ ∨ ino1 = ROOT_INO, ⌊err0⌋ ∨ err0 = ESUCCESS ∧ ispath(q0, ROOT_INO, ino, dirs, files) ∧ px-parent(user, q0, ROOT_INO, dirs, files) ∨ err0 = ENOENT ∧ ¬ ispath(q0, ROOT_INO, dirs, files) ∨ err0 = EACCESS ∧ p' ⊑ q0 ∧ ispath(p', ROOT_INO, dirs, files) ∧ ¬ px(user, p', ROOT_INO, dirs, files) ⊦ ⟪vfs_may_lookup#(ino, user, dirs, files, asynced; inode, err0); p_inode := getinode(mkdentry(str, entries0[str]).ino, dirs, files); dent := negdentry((q0 + str0 ').last); if err0 = ESUCCESS then {afs_lookup#(ino, dirs, files, asynced; dent, err0); if err0 = ENOENT then vfs_may_create#(ino, dent, user, dirs, files, asynced; inode, err0) else if err0 = ESUCCESS then {isdir := true; vfs_may_delete_check#(ino, user, dirs, files, asynced; inode, isdir, dent, p_inode, err0)}}; new_inode := inode; new_dent := dent; new_dent_inode := p_inode; if err0 = ESUCCESS then afs_check_commit#(dirs, files; err0; asynced); if err0 = 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, err0, dirs, files; asynced); if dent.dentry? then vfs_put_inode#(new_dent_inode, of, asynced; err0, dirs, files)}⟫ (of-cons(of, dirs, files) ∧ afs-cons(dirs, files)), entries0[str] = ROOT_INO, q + str ' ⊑ q0 + str0 '

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 111:
dirs[entries0[str]] = mkdir(m, md, # links(entries0[str], dirs), m2, entries), dirs[ino1] = mkdir(m0, md0, # links(ino1, dirs), m3, entries0), err0 = ESUCCESS, inode = mkinode(ino1, md0, true, # links(ino1, dirs), m3, m0), entries0[str] ≠ ROOT_INO, dom of < ino2, afs-cons(dirs, files), ispath(q, ROOT_INO, ino1, dirs, files), ispath(q0, ROOT_INO, ino, dirs, files), of-cons(of, dirs, files), pw(user, md0), pw(user, md), px(user, md0), px-parent(user, q, ROOT_INO, dirs, files), px-parent(user, q0, ROOT_INO, dirs, files), str ∈ entries0, ino1 ∈ dirs, entries0[str] ∈ dirs, ¬ q + str ' ⊑ q0 + str0 ', links(ino1, dirs) ≠ ∅ ∨ ino1 = ROOT_INO ⊦ ⟪vfs_may_lookup#(ino, user, dirs, files, asynced; inode, err0); p_inode := getinode(mkdentry(str, entries0[str]).ino, dirs, files); dent := negdentry((q0 + str0 ').last); if err0 = ESUCCESS then {afs_lookup#(ino, dirs, files, asynced; dent, err0); if err0 = ENOENT then vfs_may_create#(ino, dent, user, dirs, files, asynced; inode, err0) else if err0 = ESUCCESS then {isdir := true; vfs_may_delete_check#(ino, user, dirs, files, asynced; inode, isdir, dent, p_inode, err0)}}; new_inode := inode; new_dent := dent; new_dent_inode := p_inode; if err0 = ESUCCESS then afs_check_commit#(dirs, files; err0; asynced); if err0 = 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, err0, dirs, files; asynced); if dent.dentry? then vfs_put_inode#(new_dent_inode, of, asynced; err0, dirs, files)}⟫ (of-cons(of, dirs, files) ∧ afs-cons(dirs, files))

Rule argument

Additional information

Used simplifier rules: ⊦ ESUCCESS ≠ EACCESS; (s)% ⊦ ESUCCESS ≠ ENOENT; (s)% ⊦ ¬ ⌊ESUCCESS⌋ ; (s)