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Proof step 75 from proof inv-link (previous step)

dirs[ino0] = mkdir(m0, md0, # links(ino0, dirs), m3, entries0), c_inode = inode, err = EISDIR, err0 = ESUCCESS, err1 = ESUCCESS, ino = mkdentry(str, entries0[str]).ino, inode = getinode(ino, dirs, files), inode0 = mkinode(ino0, md0, true, # links(ino0, dirs), m3, m0), mkdentry(str, entries0[str]).dentry?, inode.directory, afs-cons(dirs, files), ispath(q, ROOT_INO, ino0, dirs, files), of-cons(of, dirs, files), pre-iget(ino, dirs, files), px(user, md0), px-parent(user, q, ROOT_INO, dirs, files), str ∈ entries0, ino0 ∈ dirs, links(ino0, dirs) ≠ ∅ ∨ ino0 = ROOT_INO ⊦ ⟪if err = ESUCCESS then afs_check_commit#(dirs, files; err; asynced); if err = ESUCCESS then afs_link#(mkdentry(str, entries0[str]); new_inode, c_inode, new_dent, err, dirs, files; asynced)⟫ (of-cons(of, dirs, files) ∧ afs-cons(dirs, files)), p = ε

Heuristic symbolic execution applied rule if negative right

And obtained the following new goals

Proof step 76:
dirs[ino0] = mkdir(m0, md0, # links(ino0, dirs), m3, entries0), c_inode = inode, err = EISDIR, err0 = ESUCCESS, err1 = ESUCCESS, ino = mkdentry(str, entries0[str]).ino, inode = getinode(ino, dirs, files), inode0 = mkinode(ino0, md0, true, # links(ino0, dirs), m3, m0), mkdentry(str, entries0[str]).dentry?, inode.directory, afs-cons(dirs, files), ispath(q, ROOT_INO, ino0, dirs, files), of-cons(of, dirs, files), pre-iget(ino, dirs, files), px(user, md0), px-parent(user, q, ROOT_INO, dirs, files), ino0 ∈ dirs, str ∈ entries0, links(ino0, dirs) ≠ ∅ ∨ ino0 = ROOT_INO ⊦ ⟪skip; if err = ESUCCESS then afs_link#(mkdentry(str, entries0[str]); new_inode, c_inode, new_dent, err, dirs, files; asynced)⟫ (of-cons(of, dirs, files) ∧ afs-cons(dirs, files)), p = ε

Rule argument

pos: right 1

Additional information

Used simplifier rules: ⊦ ESUCCESS ≠ EISDIR; (s)