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Proof step 13 from proof inv-open (previous step)

isdir ↔ false, err = ESUCCESS, dom of < ino1, afs-cons(dirs, files), of-cons(of, dirs, files), ⌊err⌋ ∨ err = ESUCCESS ∧ ispath(p, ROOT_INO, ino0, dirs, files) ∧ px-parent(user, p, ROOT_INO, dirs, files) ∨ err = ENOENT ∧ ¬ ispath(p, ROOT_INO, dirs, files) ∨ err = EACCESS ∧ p ≠ ε ∧ p' ⊑ parent(p) ∧ ispath(p', ROOT_INO, dirs, files) ∧ ¬ px(user, p', ROOT_INO, dirs, files) ⊦ ⟪vfs_may_open#(ino0, isdir, mode, user, dirs, files, asynced; inode, err); if err = ESUCCESS then {of[ino1] := mkfile(ino0, mode, 0); fd := ino1; ino1 := ino1 + 1}⟫ (of-cons(of, dirs, files) ∧ dom of < ino1)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 14:
err = ESUCCESS, dom of < ino1, afs-cons(dirs, files), ispath(p, ROOT_INO, ino0, dirs, files), of-cons(of, dirs, files), px-parent(user, p, ROOT_INO, dirs, files) ⊦ ⟪vfs_may_open#(ino0, false, mode, user, dirs, files, asynced; inode, err); if err = ESUCCESS then {of[ino1] := mkfile(ino0, mode, 0); fd := ino1; ino1 := ino1 + 1}⟫ (of-cons(of, dirs, files) ∧ dom of < ino1)

Rule argument

Additional information

Used simplifier rules: ⊦ ESUCCESS ≠ EACCESS; (s)% ⊦ ESUCCESS ≠ ENOENT; (s)% ⊦ ¬ ⌊ESUCCESS⌋ ; (s)