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Proof step 24 from proof refine-readpage (previous step)

# buf0 = VFS_PAGE_SIZE, boolvar ↔ datakey(m, pageno) ∈ ri, boolvar, buf = buf0, err = ESUCCESS, err = err0, orphans(fs, ri).inodes?, fo.inodes?, afs-cons(abs-dirs(fs, ri), abs-files(fs, ri)), file-node-cons(fs, ri), log-cons(log, fs), orphans-cons(fs, ri, orphans(fs, ri)), replay-cons-strong(fs, ri, orphans(fs, ri), fi, fo, log), ri-inj(ri), ri-inj(fi), ubifs-cons(fs, ri, orphans(fs, ri), fi, fo, log), inodekey(m) ∈ ri, datakey(m, pageno) ∈ ri, ri[datakey(m, pageno)] ∈ fs, asynced → boolvar2, ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ ⟪buf := copy(fs[ri[datakey(m, pageno)]].data, 0, buf, 0, VFS_PAGE_SIZE)⟫ ⟨afs_readpage#(mkinode(m, md, boolvar1, m0, m1, m2), pageno, abs-dirs(fs, ri), abs-files(fs, ri), asynced; buf0, err1)⟩ ((asynced → boolvar2) ∧ buf = buf0 ∧ err = err1), fs[ri[inodekey(m)]].directory

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Proof step 25:
# buf0 = VFS_PAGE_SIZE, boolvar ↔ datakey(m, pageno) ∈ ri, boolvar, buf = buf0, err = err0, err = ESUCCESS, fs[ri[datakey(m, pageno)]].data?, fo.inodes?, orphans(fs, ri).inodes?, afs-cons(abs-dirs(fs, ri), abs-files(fs, ri)), file-node-cons(fs, ri), log-cons(log, fs), orphans-cons(fs, ri, orphans(fs, ri)), replay-cons-strong(fs, ri, orphans(fs, ri), fi, fo, log), ri-inj(fi), ri-inj(ri), ubifs-cons(fs, ri, orphans(fs, ri), fi, fo, log), ri[datakey(m, pageno)] ∈ fs, datakey(m, pageno) ∈ ri, inodekey(m) ∈ ri, 0 + VFS_PAGE_SIZE ≤ # fs[ri[datakey(m, pageno)]].data, 0 + VFS_PAGE_SIZE ≤ # buf, asynced → boolvar2, ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ ⟨afs_readpage#(mkinode(m, md, boolvar1, m0, m1, m2), pageno, abs-dirs(fs, ri), abs-files(fs, ri), asynced; buf0, err1)⟩ ((asynced → boolvar2) ∧ copy(fs[ri[datakey(m, pageno)]].data, 0, buf, 0, VFS_PAGE_SIZE) = buf0 ∧ err = err1), fs[ri[inodekey(m)]].directory

Rule argument

Additional information

Used simplifier rules: ⊦ ¬ ⌊ESUCCESS⌋ ; (s)% ⊦ n + 0 = n; (s)%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic%c: ⊦ m + n = n + m; from specification nat-basic%⊦ datakey(m, n) ∈ ri ∧ ubifs-cons(fs, ri, ro, fi, fo, log) → # fs[ri[datakey(m, n)]].data = VFS_PAGE_SIZE; (s)% ⊦ m ≤ m; (s)%⊦ datakey(ino, n) ∈ ri ∧ ri[datakey(ino, n)] ∈ fs ∧ ubifs-cons(fs, ri, ro, fi, fo, log) → fs[ri[datakey(ino, n)]].data?; (ss)% ⊦ key ∈ ri ∧ ubifs-cons(fs, ri, ro, fi, fo, log) → ri[key] ∈ fs; (ss)% ⊦ m ≤ n ↔ ¬ n < m; (ss)%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic%lf-02: ⊦ m < n ∧ m = n0 → n0 < n; (forward) from specification nat-basic%lf-01: ⊦ m < n ∧ n = n0 → m < n0; (forward) from specification nat-basic%ubifs-file-notdir: ⊦ datakey(ino, n) ∈ ri ∧ ubifs-cons(fs, ri, ro, fi, fo, log) → ¬ fs[ri[inodekey(ino)]].directory; (forward) from specification aubifs-inv%ubifs-file-in: ⊦ datakey(ino, n) ∈ ri ∧ ubifs-cons(fs, ri, ro, fi, fo, log) → inodekey(ino) ∈ ri; (forward) from specification aubifs-inv% ⊦ VFS_PAGE_SIZE ≠ 0; (s)% ⊦ m < n → ¬ n < m; (s)