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Proof step 308 from proof inv-link (previous step)

dirs[ino0] = mkdir(m, md, # links(ino0, dirs), m1, entries), c_inode = inode, dent = negdentry(str), err = err0, inode = (ino0 ∈ dirs ⊃ mkinode(ino0, md, true, # links(ino0, dirs), m1, m) ;mkinode(ino0, files[ino0].meta, false, files[ino0].nlink, 0, files[ino0].size) ), afs-cons(dirs, files), ispath(q, ROOT_INO, ino0, dirs, files), of-cons(of, dirs, files), px(user, md), px-parent(user, q, ROOT_INO, dirs, files), ino0 ∈ dirs, ⌊err0⌋ , links(ino0, dirs) ≠ ∅ ∨ ino0 = ROOT_INO ⊦ ⟪if err = ESUCCESS then let ino = ROOT_INO, dent = negdentry(p.last), p0 = parent(p) in {vfs_walk#(p0, user, dirs, files, asynced; ino, err); if err = ESUCCESS then vfs_may_create#(ino, dent, user, dirs, files, asynced; inode, err); new_inode := inode, new_dent := dent}; if err = ESUCCESS then afs_check_commit#(dirs, files; err; asynced); if err = ESUCCESS then afs_link#(dent; 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

Rule argument

pos: right 1

Additional information

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