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Proof step 309 from proof refine-truncate (previous step)

root[path].dir? ↔ ino1 ∈ dirs, isdir ↔ false, err = err1, err1 = ESUCCESS, ino = ino1, mode = MODE_W, 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), pre-iget(ino, dirs, files), px-parent(user, path, ROOT_INO, dirs, files), psynced → asynced ⊦ [fail#(; ; err); if err = ESUCCESS then if ¬(inode.directory ↔ isdir) then err := (inode.directory ⊃ EISDIR;ENOTDIR) else if (mode = MODE_R ∨ mode = MODE_RW) ∧ ¬ pr(user, inode.meta) ∨ (mode = MODE_W ∨ mode = MODE_RW) ∧ ¬ pw(user, inode.meta) then err := EACCESS; err1 := err; if err1 = ESUCCESS then afs_check_commit#(dirs, files; err1; asynced); pageno := 0; if err1 = ESUCCESS then pageno := inode.size / VFS_PAGE_SIZE; fs := abs-files(files); if err1 = ESUCCESS then {buf-opt := none; afs_truncate#(n, pageno; buf-opt, inode, isdir0, err1, dirs, files, asynced)}] ( of-cons(of, dirs, files) ∧ afs-cons(dirs, files) → ⟨posix_truncate#(path, n, user, root, abs-of(of); err0, fs; psynced)⟩ (fs = abs-files(files) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ err1 = err0))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 310:
root[path].dir? ↔ ino1 ∈ dirs, 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), psynced → asynced, ino1 ∈ dirs ∨ ino1 ∈ files ⊦ [fail#(; ; err); if err = ESUCCESS then if inode.directory then err := (inode.directory ⊃ EISDIR;ENOTDIR) else if ¬ pw(user, inode.meta) then err := EACCESS; err1 := err; if err1 = ESUCCESS then afs_check_commit#(dirs, files; err1; asynced); pageno := 0; if err1 = ESUCCESS then pageno := inode.size / VFS_PAGE_SIZE; fs := abs-files(files); if err1 = ESUCCESS then {buf-opt := none; afs_truncate#(n, pageno; buf-opt, inode, isdir0, err1, dirs, files, asynced)}] ( of-cons(of, dirs, files) ∧ afs-cons(dirs, files) → ⟨posix_truncate#(path, n, user, root, abs-of(of); err0, fs; psynced)⟩ (fs = abs-files(files) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ err1 = err0))

Rule argument

Additional information

Used simplifier rules: ⊦ MODE_W ≠ MODE_RW; (s)% ⊦ MODE_R ≠ MODE_W; (s)% ⊦ valid-ino(ino, dirs, files) ↔ ino ∈ dirs ∨ ino ∈ files; (s)% ⊦ pre-iget(ino, dirs, files) ↔ valid-ino(ino, dirs, files); (s)