[Imprint][Data Privacy Statement][E-Mail]

View long theorem info. View the proof. Back to main index. View the specification. View theorem base summary, View theorem base listing, the used properties by spec, the dependency list, the symbol table,

Proof step 53 from proof refine-read (previous step)

of[fd] = mkfile(m, mode, m0), buf = buf0, err = ESUCCESS, err1 = ESUCCESS, ino = m, n = n0, 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), fd ∈ of, n0 ≤ # buf0, psynced → asynced ⊦ [if getinode(ino, dirs, files).directory then err := EISDIR else let ino1 = m0, ino0 = m0 + n, ino3 = 0 in if ino1 ≤ getinode(ino, dirs, files).size then {let isdir = false in vfs_read_loop#(ino1, ino0, getinode(ino, dirs, files), isdir, dirs, files, asynced; buf, ino3, err); if ino3 ≠ 0 then err := ESUCCESS; of[fd].pos := of[fd].pos + ino3; n := ino3} else n := 0] ( of-cons(of, dirs, files) ∧ dom of < ino2 → ⟨posix_read#(fd, user, root, abs-files(files); buf0, n0, err0, ofh)⟩ (ofh = abs-of(of) ∧ (psynced → asynced) ∧ buf = buf0 ∧ n = n0 ∧ err = err0)), mode ≠ MODE_R ∧ mode ≠ MODE_RW

Heuristic symbolic execution applied rule if negative right

And obtained the following new goals

Proof step 54:
of[fd] = mkfile(m, mode, m0), buf = buf0, err = ESUCCESS, err1 = ESUCCESS, ino = m, n = n0, 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), fd ∈ of, n0 ≤ # buf0, psynced → asynced ⊦ [let ino1 = m0, ino0 = m0 + n, ino3 = 0 in if ino1 ≤ getinode(ino, dirs, files).size then {let isdir = false in vfs_read_loop#(ino1, ino0, getinode(ino, dirs, files), isdir, dirs, files, asynced; buf, ino3, err); if ino3 ≠ 0 then err := ESUCCESS; of[fd].pos := of[fd].pos + ino3; n := ino3} else n := 0] ( of-cons(of, dirs, files) ∧ dom of < ino2 → ⟨posix_read#(fd, user, root, abs-files(files); buf0, n0, err0, ofh)⟩ (ofh = abs-of(of) ∧ (psynced → asynced) ∧ buf = buf0 ∧ n = n0 ∧ err = err0)), mode ≠ MODE_R ∧ mode ≠ MODE_RW

Rule argument

pos: right 1

Additional information

Used simplifier rules: ⊦ 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)%⊦ of-cons(of, dirs, files) ∧ fd ∈ of ∧ of[fd] = mkfile(ino, mode, n) ∧ afs-cons(dirs, files) → ¬ ino ∈ dirs; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).directory ↔ boolvar; (s)