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Proof step 72 from proof refine-readdir (previous step)

dirs[ino1] = mkdir(# entries, md, # links(ino1, dirs), m1, entries), err = ESUCCESS, inode = mkinode(ino1, md, true, # links(ino1, dirs), m1, # entries), strings = strings1, strings0 = strings, root.dir?, root[path].dir?, dom of < ino0, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), ispath(path, ROOT_INO, ino1, dirs, files), of-cons(of, dirs, files), pr(user, md), px-parent(user, path, ROOT_INO, dirs, files), ino1 ∈ dirs, psynced → asynced ⊦ [if pre-readdir(inode.ino, dirs, files) then {{strings0 := dom dirs[inode.ino].entries; err := ESUCCESS} or {choose strings with true in strings0 := strings; fail#(; ; err)}} else abort] ⟨posix_readdir#(path, user, root, abs-files(files), abs-of(of); strings1, err0)⟩ ((psynced → asynced) ∧ strings0 = strings1 ∧ err = err0)

Heuristic symbolic execution applied rule if positive right

And obtained the following new goals

Proof step 73:
dirs[ino1] = mkdir(# entries, md, # links(ino1, dirs), m1, entries), err = ESUCCESS, inode = mkinode(ino1, md, true, # links(ino1, dirs), m1, # entries), strings = strings1, strings0 = strings, root[path].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(path, ROOT_INO, ino1, dirs, files), of-cons(of, dirs, files), pr(user, md), px-parent(user, path, ROOT_INO, dirs, files), ino1 ∈ dirs, psynced → asynced ⊦ [{strings0 := dom dirs[inode.ino].entries; err := ESUCCESS} or {choose strings with true in strings0 := strings; fail#(; ; err)}] ⟨posix_readdir#(path, user, root, abs-files(files), abs-of(of); strings1, err0)⟩ ((psynced → asynced) ∧ strings0 = strings1 ∧ err = err0)

Rule argument

Additional information

Used simplifier rules: ⊦ mkinode(m, md, boolvar, m0, m1, m2).ino = m; (s)% ⊦ pre-readdir(ino, dirs, files) ↔ valid-dir-ino(ino, dirs, files); (s)% ⊦ valid-dir-ino(ino, dirs, files) ↔ ino ∈ dirs; (s)