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Proof step 526 from proof inv-renam (previous step)

isdir ↔ true, dirs[ino0] = mkdir(m4, md2, # links(ino0, dirs), m7, entries2), dirs[ino1] = mkdir(m0, md0, # links(ino1, dirs), m3, entries0), dirs[entries0[str]] = mkdir(m, md, # links(entries0[str], dirs), m2, entries), err = err0, p_inode = mkinode(entries0[str], md, true, # links(entries0[str], dirs), m2, m), dom of < ino2, afs-cons(dirs, files), ispath(q0, ROOT_INO, ino0, dirs, files), ispath(q, ROOT_INO, ino1, dirs, files), of-cons(of, dirs, files), pw(user, md2), pw(user, md), pw(user, md0), px(user, md0), px(user, md2), px-parent(user, q0, ROOT_INO, dirs, files), px-parent(user, q, ROOT_INO, dirs, files), str0 ∈ entries2, entries0[str] ∈ dirs, ino1 ∈ dirs, ino0 ∈ dirs, str ∈ entries0, ⌊err0⌋ , entries2[str0] ∈ dirs ∨ entries2[str0] ∈ files, links(ino0, dirs) ≠ ∅ ∨ ino0 = ROOT_INO, links(ino1, dirs) ≠ ∅ ∨ ino1 = ROOT_INO ⊦ ⟪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; new_inode := (ino0 ∈ dirs ⊃ mkinode(ino0, md2, true, # links(ino0, dirs), m7, m4) ;mkinode(ino0, files[ino0].meta, false, files[ino0].nlink, 0, files[ino0].size) ); new_dent := mkdentry(mkdentry(str0, entries2[str0]).name, entries2[mkdentry(str0, entries2[str0]).name]); 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] = ROOT_INO, q + str ' ⊑ q0 + str0 '

Heuristic symbolic execution applied rule if negative right

And obtained the following new goals

Proof step 527:
isdir ↔ true, dirs[entries0[str]] = mkdir(m, md, # links(entries0[str], dirs), m2, entries), dirs[ino1] = mkdir(m0, md0, # links(ino1, dirs), m3, entries0), dirs[ino0] = mkdir(m4, md2, # links(ino0, dirs), m7, entries2), err = err0, p_inode = mkinode(entries0[str], md, true, # links(entries0[str], dirs), m2, m), dom of < ino2, afs-cons(dirs, files), ispath(q, ROOT_INO, ino1, dirs, files), ispath(q0, ROOT_INO, ino0, dirs, files), of-cons(of, dirs, files), pw(user, md0), pw(user, md), pw(user, md2), px(user, md2), px(user, md0), px-parent(user, q, ROOT_INO, dirs, files), px-parent(user, q0, ROOT_INO, dirs, files), str ∈ entries0, ino0 ∈ dirs, ino1 ∈ dirs, entries0[str] ∈ dirs, str0 ∈ entries2, ⌊err0⌋ , links(ino1, dirs) ≠ ∅ ∨ ino1 = ROOT_INO, links(ino0, dirs) ≠ ∅ ∨ ino0 = ROOT_INO, entries2[str0] ∈ dirs ∨ entries2[str0] ∈ files ⊦ ⟪skip; isdir1 := true; isdir0 := isdir; if isdir1 ∧ ¬ isdir0 then err := ENOTDIR; if ¬ isdir1 ∧ isdir0 then err := EISDIR; new_inode := (ino0 ∈ dirs ⊃ mkinode(ino0, md2, true, # links(ino0, dirs), m7, m4) ;mkinode(ino0, files[ino0].meta, false, files[ino0].nlink, 0, files[ino0].size) ); new_dent := mkdentry(mkdentry(str0, entries2[str0]).name, entries2[mkdentry(str0, entries2[str0]).name]); 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] = ROOT_INO, q + str ' ⊑ q0 + str0 '

Rule argument

pos: right 1

Additional information

Used simplifier rules: ⊦ ⌊err⌋ → err ≠ ESUCCESS; (s)