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Proof step 69 from proof refine-read (previous step)

files[m3] = mkfile(m1, md, m2, content), of[fd] = mkfile(m3, mode0, m4), 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, m4 ≤ m1, psynced → asynced ⊦ mode0 ≠ MODE_R ∧ mode0 ≠ MODE_RW, afs-cons(dirs, files) ∧ # buf0 = # buf0 ∧ mkinode(m3, md, false, m2, 0, m1).ino ∈ files ∧ files[mkinode(m3, md, false, m2, 0, m1).ino].size = mkinode(m3, md, false, m2, 0, m1).size ∧ m4 + 0 ≤ m4 + n0 ∧ m4 + 0 ≤ mkinode(m3, md, false, m2, 0, m1).size ∧ m4 + n0 - m4 ≤ # buf0 ∧ read-inv(m4, m4 + n0, buf0, buf0, 0, files[mkinode(m3, md, false, m2, 0, m1).ino].content)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 70:
files[m3] = mkfile(m1, md, m2, content), of[fd] = mkfile(m3, mode0, m4), 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, m4 ≤ m1, psynced → asynced ⊦ read-inv(m4, m4 + n0, buf0, buf0, 0, content), mode0 ≠ MODE_R ∧ mode0 ≠ MODE_RW

Rule argument

Additional information

Used simplifier rules: ⊦ mkfile(m, md, m0, content).content = content; (s)% ⊦ mkfile(m, md, m0, content).size = m; (s)% ⊦ m + n - m = n; (s)% ⊦ m ≤ m + n; (s)%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ n + 0 = n; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).size = m2; (s)%⊦ of-cons(of, dirs, files) ∧ fd ∈ of ∧ of[fd] = mkfile(ino, mode, n) → ino ∈ files; (ss)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).ino = m; (s)