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Proof step 57 from proof refine-read (previous step)

isdir ↔ false, of[fd] = mkfile(m, mode, m0), buf = buf0, err = ESUCCESS, err1 = ESUCCESS, ino = m, ino0 = m0 + n, ino1 = m0, ino3 = 0, 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, ino1 ≤ getinode(ino, dirs, files).size, psynced → asynced ⊦ [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] ( 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 simplifier applied rule simplifier

And obtained the following new goals

Proof step 58:
of[fd] = mkfile(m, mode, m0), buf = buf0, err = ESUCCESS, ino3 = 0, 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, m0 ≤ files[m].size, psynced → asynced ⊦ [vfs_read_loop#(m0, m0 + n0, mkinode(m, files[m].meta, false, files[m].nlink, 0, files[m].size), false, dirs, files, asynced; buf, ino3, err); if ino3 ≠ 0 then err := ESUCCESS; of0 := of[fd, of[fd].pos:= (of[fd].pos + ino3)]; n := ino3] ( of-cons(of0, dirs, files) ∧ dom of0 < ino2 → ⟨ofh := abs-of(of); posix_read#(fd, user, root, abs-files(files); buf0, n0, err0, ofh)⟩ (ofh = abs-of(of0) ∧ (psynced → asynced) ∧ buf = buf0 ∧ n = n0 ∧ err = err0)), mode ≠ MODE_R ∧ mode ≠ MODE_RW

Rule argument

Additional information

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