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Proof step 119 from proof refine-readdir (previous step)

root[path].dir? ↔ ino1 ∈ dirs, err = err0, 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), px-parent(user, path, ROOT_INO, dirs, files), ⌊err0⌋ , psynced → asynced, ino1 ∈ dirs ∨ ino1 ∈ files ⊦ [if err = ESUCCESS then if ¬ inode.directory then err := (inode.directory ⊃ EISDIR;ENOTDIR) else if ¬ pr(user, inode.meta) then err := EACCESS; strings := strings0; err1 := err; if err1 = ESUCCESS then afs_readdir#(inode, dirs, files, asynced; strings, err1)] ⟨posix_readdir#(path, user, root, abs-files(files), abs-of(of); strings0, err2)⟩ ((psynced → asynced) ∧ strings = strings0 ∧ err1 = err2)

Heuristic symbolic execution applied rule if negative right

And obtained the following new goals

Proof step 120:
root[path].dir? ↔ ino1 ∈ dirs, err = err0, 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), px-parent(user, path, ROOT_INO, dirs, files), ⌊err0⌋ , psynced → asynced, ino1 ∈ dirs ∨ ino1 ∈ files ⊦ [skip; strings := strings0; err1 := err; if err1 = ESUCCESS then afs_readdir#(inode, dirs, files, asynced; strings, err1)] ⟨posix_readdir#(path, user, root, abs-files(files), abs-of(of); strings0, err2)⟩ ((psynced → asynced) ∧ strings = strings0 ∧ err1 = err2)

Rule argument

pos: right 1

Additional information

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