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Proof step 66 from proof inv-unlink (previous step)

# links(entries0[str], dirs0) = m1 + 1, files0[entries0[str]] = mkfile(m0, md1, m1 + 1, content), dirs0[m] = mkdir(m2 + 1, md2, # links(m, dirs0), m3, entries0), dirs = dirs0[m, mkdir(m2, md2, # links(m, dirs0), m3, entries0 -- str)], files = files0[entries0[str], mkfile(m0, md1, m1, content)], ino = inode.ino, inode = mkinode(m, md, true, # links(m, dirs0), m3, m2 + 1), afs-cons(dirs0[m, mkdir(m2, md2, # links(m, dirs0), m3, entries0 -- str)], files0[entries0[str], mkfile(m0, md1, m1, content)]), afs-cons(dirs0, files0), m ∈ dirs0, str ∈ entries0, entries0[str] ∈ files0, ino ∈ files, links(m, dirs0) ≠ ∅ ∨ m = ROOT_INO ⊦ [files := files[ino, files[ino].size:= inode.size][ino, files[ino, files[ino].size:= inode.size][ino].meta:= inode.meta]] ( afs-cons(dirs, files) → ⟪afs_inode_sync#(mkinode(entries0[str], md0, false, # links(entries0[str], dirs0), 0, m6); 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 := (entries0[str] ∈ dirs ⊃ mkinode (entries0[str], dirs[entries0[str]].meta, true, dirs[entries0[str]].nlink, dirs[entries0[str]].nsubdirs, dirs[entries0[str]].size) ;mkinode(entries0[str], files[entries0[str]].meta, false, files[entries0[str]].nlink, 0, files[entries0[str]].size) ); err := ESUCCESS; asynced := ?⟫ afs-cons(dirs, files))

Heuristic symbolic execution applied rule assign right

And closed the goal!

Rule argument

Additional information

Used simplifier rules: ⊦ mkinode(m, md, boolvar, m0, m1, m2).ino = m; (s)% ⊦ files[ino, af][ino0] = (ino0 = ino ∧ ino ∈ files ⊃ af;files[ino0]); (s)% ⊦ afs-cons(dirs, files) ∧ ino ∈ dirs → ¬ ino ∈ files; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).size = m2; (s)% ⊦ ino ∈ files[ino0, af] ↔ ino ∈ files; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).meta = md; (s)% ⊦ files[ino, af][ino, af0] = files[ino, af0]; (s)