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Proof step 110 from proof refine-open (previous step)

root[path].dir? ↔ ino0 ∈ dirs, err = err0, err1 = err, fd = ino1, ofh = abs-of(of), root.dir?, dom of < ino2, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), ispath(path, ROOT_INO, ino0, dirs, files), of-cons(of, dirs, files), px-parent(user, path, ROOT_INO, dirs, files), ⌊err0⌋ , psynced → asynced, ino0 ∈ dirs ∨ ino0 ∈ files ⊦ [if err1 = ESUCCESS then {of[ino2] := mkfile(ino0, mode, 0); fd := ino2; ino2 := ino2 + 1}] ( of-cons(of, dirs, files) ∧ dom of < ino2 → ⟨posix_open#(path, mode, user, root, abs-files(files); ino1, err2, ofh)⟩ (ofh = abs-of(of) ∧ (psynced → asynced) ∧ fd = ino1 ∧ err1 = err2))

Heuristic symbolic execution applied rule if negative right

And obtained the following new goals

Proof step 111:
root[path].dir? ↔ ino0 ∈ dirs, err = err0, err1 = err, fd = ino1, ofh = abs-of(of), root.dir?, dom of < ino2, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), ispath(path, ROOT_INO, ino0, dirs, files), of-cons(of, dirs, files), px-parent(user, path, ROOT_INO, dirs, files), ⌊err0⌋ , psynced → asynced, ino0 ∈ dirs ∨ ino0 ∈ files ⊦ [skip] ( of-cons(of, dirs, files) ∧ dom of < ino2 → ⟨posix_open#(path, mode, user, root, abs-files(files); ino1, err2, ofh)⟩ (ofh = abs-of(of) ∧ (psynced → asynced) ∧ fd = ino1 ∧ err1 = err2))

Rule argument

pos: right 1

Additional information

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