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Proof step 1625 from proof inv-renam (previous step)

dirs[ino1] = mkdir(m, md, # links(ino1, dirs), m1, entries), dent = negdentry(str), err = err0, old_dent_inode = p_inode, dom of < ino0, afs-cons(dirs, files), ispath(q, ROOT_INO, ino1, dirs, files), of-cons(of, dirs, files), pw(user, md), px(user, md), px-parent(user, q, ROOT_INO, dirs, files), ino1 ∈ dirs, ⌊err0⌋ , links(ino1, dirs) ≠ ∅ ∨ ino1 = ROOT_INO ⊦ ⟪if err = ESUCCESS then afs_check_commit#(dirs, files; err; asynced); if err = ESUCCESS then let dent0 = new_dent in {old_inode := (ino1 ∈ dirs ⊃ mkinode(ino1, md, true, # links(ino1, dirs), m1, m) ;mkinode(ino1, files[ino1].meta, false, files[ino1].nlink, 0, files[ino1].size) ); afs_rename#(; old_inode, new_inode, old_dent_inode, new_dent_inode, dent, new_dent, err, dirs, files; asynced); if dent0.dentry? then vfs_put_inode#(new_dent_inode, of, asynced; err, dirs, files)}⟫ (of-cons(of, dirs, files) ∧ afs-cons(dirs, files)), p = ε, q + str ' ⊑ p

Heuristic symbolic execution applied rule if negative right

And obtained the following new goals

Proof step 1626:
dirs[ino1] = mkdir(m, md, # links(ino1, dirs), m1, entries), dent = negdentry(str), err = err0, old_dent_inode = p_inode, dom of < ino0, afs-cons(dirs, files), ispath(q, ROOT_INO, ino1, dirs, files), of-cons(of, dirs, files), pw(user, md), px(user, md), px-parent(user, q, ROOT_INO, dirs, files), ino1 ∈ dirs, ⌊err0⌋ , links(ino1, dirs) ≠ ∅ ∨ ino1 = ROOT_INO ⊦ ⟪skip; if err = ESUCCESS then let dent0 = new_dent in {old_inode := (ino1 ∈ dirs ⊃ mkinode(ino1, md, true, # links(ino1, dirs), m1, m) ;mkinode(ino1, files[ino1].meta, false, files[ino1].nlink, 0, files[ino1].size) ); afs_rename#(; old_inode, new_inode, old_dent_inode, new_dent_inode, dent, new_dent, err, dirs, files; asynced); if dent0.dentry? then vfs_put_inode#(new_dent_inode, of, asynced; err, dirs, files)}⟫ (of-cons(of, dirs, files) ∧ afs-cons(dirs, files)), p = ε, q + str ' ⊑ p

Rule argument

pos: right 1

Additional information

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