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Proof step 136 from proof refine-create (previous step)

dirs[ino1] = mkdir(# entries, md0, # links(ino1, dirs), m1, entries), dent = negdentry(str), err = ESUCCESS, fs = abs-files(files), inode = mkinode(ino1, md0, true, # links(ino1, dirs), m1, # entries), root.dir?, root[q].dir?, dom of < ino0, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), ispath(q, ROOT_INO, ino1, dirs, files), of-cons(of, dirs, files), pw(user, md0), px(user, md0), px-parent(user, q, ROOT_INO, dirs, files), ino1 ∈ dirs, ¬ str ∈ entries, psynced → asynced0, links(ino1, dirs) ≠ ∅ ∨ ino1 = ROOT_INO ⊦ [afs_create#(md; inode, c_inode, dent, err, dirs, files; asynced)] ( of-cons(of, dirs, files) ∧ afs-cons(dirs, files) → ⟨posix_create#(q + str ', md, user, abs-of(of); err2, root, fs; psynced)⟩ (fs = abs-files(files) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ err = err2))

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 137:
dirs[ino1] = mkdir(# entries, md0, # links(ino1, dirs), m1, entries), dent = negdentry(str), err = ESUCCESS, fs = abs-files(files), inode = mkinode(ino1, md0, true, # links(ino1, dirs), m1, # entries), p_inode = inode, root[q].dir?, root.dir?, dom of < ino0, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), ispath(q, ROOT_INO, ino1, dirs, files), of-cons(of, dirs, files), pw(user, md0), px(user, md0), px-parent(user, q, ROOT_INO, dirs, files), ino1 ∈ dirs, psynced → asynced0, links(ino1, dirs) ≠ ∅ ∨ ino1 = ROOT_INO ⊦ [if pre-create(p_inode, dent, md, dirs, files) then { {choose ino with ¬ ino ∈ dirs ∧ ¬ ino ∈ files ∧ ino ≠ 0 in afs_create_ino#(p_inode.ino, md, ino; dent, err, dirs, files); afs_inode_sync#(p_inode; dirs, files); p_inode := getinode(p_inode.ino, dirs, files); c_inode := getinode(dent.ino, dirs, files)} or fail#(; ; err); asynced := ?} else abort] ( of-cons(of, dirs, files) ∧ afs-cons(dirs, files) → ⟨posix_create#(q + str ', md, user, abs-of(of); err2, root, fs; psynced)⟩ (fs = abs-files(files) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ err = err2)), str ∈ entries

Rule argument

pos: right 1

Additional information

Used simplifier rules: afs_create#(MD; P_INODE, C_INODE, DENT, ERR, DIRS, FILES; ASYNCED) {if pre-create(P_INODE, DENT, MD, DIRS, FILES) then { {choose INO with ¬ INO ∈ DIRS ∧ ¬ INO ∈ FILES ∧ INO ≠ 0 in afs_create_ino# (P_INODE.ino, MD, INO; DENT, ERR, DIRS, FILES); afs_inode_sync#(P_INODE; DIRS, FILES); P_INODE := getinode(P_INODE.ino, DIRS, FILES); C_INODE := getinode(DENT.ino, DIRS, FILES)} or fail#(; ; ERR); ASYNCED := ?} else abort };