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Proof step 208 from proof refine-read (previous step)

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, psynced → asynced ⊦ ⟨posix_read#(fd, user, root, abs-files(files); buf0, n0, err0, ofh)⟩ (ofh = abs-of(of) ∧ (psynced → asynced) ∧ buf = buf0 ∧ 0 = n0 ∧ err = err0), ino1 ≤ getinode(ino, dirs, files).size, mode ≠ MODE_R ∧ mode ≠ MODE_RW

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 209:
of[fd] = mkfile(m, mode, m0), buf = buf0, ofh = abs-of(of), root.dir?, files[m].size < m0, 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 ⊦ ⟨posix_read#(fd, user, root, abs-files(files); buf0, n0, err0, ofh)⟩ (ofh = abs-of(of) ∧ (psynced → asynced) ∧ buf = buf0 ∧ 0 = n0 ∧ ESUCCESS = err0), mode ≠ MODE_R ∧ mode ≠ MODE_RW

Rule argument

Additional information

Used simplifier rules: ⊦ m < n → n ≠ 0; (s)%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic% ⊦ m ≤ n ↔ ¬ n < m; (ss)% ⊦ 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)