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Proof step 100 from proof inv-renam (previous step)

isdir ↔ p_inode.directory, dirs[ino1] = mkdir(m0, md0, # links(ino1, dirs), m3, entries0), dent = negdentry(p.last), err = ESUCCESS, err0 = ESUCCESS, ino = mkdentry(str, entries0[str]).ino, ino0 = ROOT_INO, inode = p_inode0, isdir, old_dent_inode = p_inode, p0 = parent(p), p_inode = getinode(ino, dirs, files), mkdentry(str, entries0[str]).dentry?, dom of < ino2, afs-cons(dirs, files), ispath(q, ROOT_INO, ino1, dirs, files), of-cons(of, dirs, files), pre-iget(ino, dirs, files), pw(user, p_inode.meta), pw(user, md0), px(user, md0), px-parent(user, q, ROOT_INO, dirs, files), str ∈ entries0, ino1 ∈ dirs, links(ino1, dirs) ≠ ∅ ∨ ino1 = ROOT_INO ⊦ ⟪vfs_walk#(p0, user, dirs, files, asynced; ino0, err); 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) ); if err = ESUCCESS then vfs_may_lookup#(ino0, user, dirs, files, asynced; inode, err); if err = ESUCCESS then {afs_lookup#(ino0, dirs, files, asynced; dent, err); if err = ENOENT then vfs_may_create#(ino0, dent, user, dirs, files, asynced; inode, err) else if err = ESUCCESS then vfs_may_delete_check#(ino0, 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]); 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)), p_inode.ino = ROOT_INO, p = ε, q + str ' ⊑ p

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 101:
dirs[ino1] = mkdir(m0, md0, # links(ino1, dirs), m3, entries0), err = ESUCCESS, ino0 = ROOT_INO, entries0[str] ≠ ROOT_INO, p ≠ ε, dom of < ino2, afs-cons(dirs, files), ispath(q, ROOT_INO, ino1, dirs, files), of-cons(of, dirs, files), pw(user, md0), pw(user, dirs[entries0[str]].meta), px(user, md0), px-parent(user, q, ROOT_INO, dirs, files), str ∈ entries0, ino1 ∈ dirs, entries0[str] ∈ dirs, ¬ q + str ' ⊑ p, links(ino1, dirs) ≠ ∅ ∨ ino1 = ROOT_INO ⊦ ⟪vfs_walk#(parent(p), user, dirs, files, asynced; ino0, err); 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) ); if err = ESUCCESS then vfs_may_lookup#(ino0, user, dirs, files, asynced; inode, err); p_inode := getinode(mkdentry(str, entries0[str]).ino, dirs, files); dent := negdentry(p.last); if err = ESUCCESS then {afs_lookup#(ino0, dirs, files, asynced; dent, err); if err = ENOENT then vfs_may_create#(ino0, dent, user, dirs, files, asynced; inode, err) else if err = ESUCCESS then {isdir := true; vfs_may_delete_check#(ino0, 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: ⊦ mkinode(m, md, boolvar, m0, m1, m2).ino = m; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).directory ↔ boolvar; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).meta = md; (s)% ⊦ mkdentry(str, m).dentry?; (s)% ⊦ valid-ino(ino, dirs, files) ↔ ino ∈ dirs ∨ ino ∈ files; (s)% ⊦ pre-iget(ino, dirs, files) ↔ valid-ino(ino, dirs, files); (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)