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Proof step 23 from proof crash-neutral-unlink (previous step)

c_inode.ino = entries0[str], c_inode.nlink = files[entries0[str]].nlink, c_inode.nsubdirs = 0, dirs[m] = mkdir(m0, md1, # links(m, dirs), m2, entries0), dirs1 = dirs[m, mkdir(m0 - 1, md1, # links(m, dirs), m2, entries0 -- str)], files0 = files, m0 ≠ 0, afs-cons(dirs, files), str ∈ entries0, entries0[str] ∈ files, m ∈ dirs, 1 ≤ m0, ¬ c_inode.directory, links(m, dirs) ≠ ∅ ∨ m = ROOT_INO ⊦ ⟨afs_drop_nlink#(mkdentry(str, entries0[str]).ino; dirs1, files); dent := negdentry(mkdentry(str, entries0[str]).name); afs_inode_sync#(mkinode(m, md, true, # links(m, dirs), m2, m0); dirs1, files); afs_inode_sync#(c_inode; dirs1, files); p_inode := (m ∈ dirs1 ⊃ mkinode(m, dirs1[m].meta, true, dirs1[m].nlink, dirs1[m].nsubdirs, dirs1[m].size) ;mkinode(m, files[m].meta, false, files[m].nlink, 0, files[m].size) ); c_inode := (c_inode.ino ∈ dirs1 ⊃ mkinode(c_inode.ino, dirs1[c_inode.ino].meta, true, dirs1[c_inode.ino].nlink, dirs1[c_inode.ino].nsubdirs, dirs1[c_inode.ino].size) ;mkinode(c_inode.ino, files[c_inode.ino].meta, false, files[c_inode.ino].nlink, 0, files[c_inode.ino].size) ); err := ESUCCESS; asynced := ?⟩ (asynced ∧ dirs \ orphans(dirs, files0) = dirs1 \ orphans(dirs1, files) ∧ files0 \ orphans(dirs, files0) = files \ orphans(dirs1, files)), ⟨fail#(; ; err); asynced := ?⟩ asynced

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 24:
c_inode.ino = entries0[str], c_inode.nlink = files[entries0[str]].nlink, c_inode.nsubdirs = 0, dirs0[m] = mkdir(m0, md1, # links(m, dirs0), m2, entries0), dirs = dirs1, dirs1 = dirs0[m, mkdir(m0 - 1, md1, # links(m, dirs0), m2, entries0 -- str)], files0 = files, ino = mkdentry(str, entries0[str]).ino, mkdentry(str, entries0[str]).dentry?, afs-cons(dirs0, files), m ∈ dirs0, entries0[str] ∈ files, str ∈ entries0, 1 ≤ m0, links(m, dirs0) ≠ ∅ ∨ m = ROOT_INO ⊦ ⟨if ino ∈ dirs then dirs[ino].nlink := dirs[ino].nlink - 1; if ino ∈ files then files[ino].nlink := files[ino].nlink - 1; dent := negdentry(mkdentry(str, entries0[str]).name); afs_inode_sync#(mkinode(m, md, true, # links(m, dirs0), m2, m0); dirs, files); afs_inode_sync#(c_inode; dirs, files); p_inode := (m ∈ dirs ⊃ mkinode(m, dirs[m].meta, true, dirs[m].nlink, dirs[m].nsubdirs, dirs[m].size) ;mkinode(m, files[m].meta, false, files[m].nlink, 0, files[m].size) ); c_inode := (c_inode.ino ∈ dirs ⊃ mkinode(c_inode.ino, dirs[c_inode.ino].meta, true, dirs[c_inode.ino].nlink, dirs[c_inode.ino].nsubdirs, dirs[c_inode.ino].size) ;mkinode(c_inode.ino, files[c_inode.ino].meta, false, files[c_inode.ino].nlink, 0, files[c_inode.ino].size) ); err := ESUCCESS; asynced := ?⟩ (asynced ∧ dirs0 \ orphans(dirs0, files0) = dirs \ orphans(dirs, files) ∧ files0 \ orphans(dirs0, files0) = files \ orphans(dirs, files)), ⟨fail#(; ; err); asynced := ?⟩ asynced, m0 = 0, c_inode.directory

Rule argument

pos: right 1

Additional information

Used simplifier rules: drop-nlink: ⊦ ;% ⊦ mkdentry(str, m).dentry?; (s)