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Proof step 8 from proof refine-open (previous step)

err = err0, fd = ino1, ino = ROOT_INO, ino0 = ino2, 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)), of-cons(of, dirs, files), psynced → asynced ⊦ [vfs_walk#(path, user, dirs, files, asynced; ino, err); if err = ESUCCESS then let isdir = false in vfs_may_open#(ino, isdir, mode, user, dirs, files, asynced; inode, err); if err = ESUCCESS then {of[ino0] := mkfile(ino, mode, 0); fd := ino0; ino0 := ino0 + 1}] ( of-cons(of, dirs, files) ∧ dom of < ino0 → ⟨posix_open#(path, mode, user, root, abs-files(files); ino1, err0, ofh)⟩ (ofh = abs-of(of) ∧ (psynced → asynced) ∧ fd = ino1 ∧ err = err0))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
err = err0, ino = ROOT_INO, root.dir?, dom of < ino2, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), of-cons(of, dirs, files), psynced → asynced ⊦ [vfs_walk#(path, user, dirs, files, asynced; ino, err); if err = ESUCCESS then let isdir = false in vfs_may_open#(ino, isdir, mode, user, dirs, files, asynced; inode, err); ofh := abs-of(of); fd := ino1; if err = ESUCCESS then {of[ino2] := mkfile(ino, 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, err0, ofh)⟩ (ofh = abs-of(of) ∧ (psynced → asynced) ∧ fd = ino1 ∧ err = err0))

Proof step 8 from proof refine-open (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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