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Proof step 34 from proof refine-truncate (previous step)

isdir ↔ false, root[path].dir? ↔ ino1 ∈ dirs, err = ESUCCESS, err1 = (inode.directory ⊃ EISDIR;ENOTDIR), err2 = err3, err3 = ESUCCESS, ino = ino1, inode = getinode(ino, dirs, files), mode = MODE_W, pageno = 0, 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 ⊦ [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)), inode.directory ↔ isdir

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 35:
err1 = EISDIR, inode = mkinode(ino1, dirs[ino1].meta, true, dirs[ino1].nlink, dirs[ino1].nsubdirs, dirs[ino1].size), root.dir?, root[path].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), ino1 ∈ dirs, psynced → asynced ⊦ [fs := abs-files(files); if err1 = ESUCCESS then {buf-opt := none; afs_truncate#(n, 0; 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: ⊦ mkinode(m, md, boolvar, m0, m1, m2).directory ↔ boolvar; (s)% ⊦ valid-ino(ino, dirs, files) ↔ ino ∈ dirs ∨ ino ∈ files; (s)% ⊦ pre-iget(ino, dirs, files) ↔ valid-ino(ino, dirs, files); (s)%⊦ getinode(ino, dirs, files) = (ino ∈ dirs ⊃ mkinode (ino, dirs[ino].meta, true, dirs[ino].nlink, dirs[ino].nsubdirs, dirs[ino].size) ;mkinode (ino, files[ino].meta, false, files[ino].nlink, 0, files[ino].size) ); (s)