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Proof step 94 from proof refine-writepage (previous step)

# buf = VFS_PAGE_SIZE, fo.inodes?, orphans(fs1, ri).inodes?, afs-cons(abs-dirs(fs1, ri), abs-files(fs1, ri)), afs-cons (abs-dirs(fs1, ri), abs-files(fs1, ri)[m, mkfile(fs1[ri[inodekey(m)]].size, fs1[ri[inodekey(m)]].meta, fs1[ri[inodekey(m)]].nlink, abs-content(m, fs1, ri)[pageno, buf])]), file-node-cons(fs1, ri), log-cons(log0, fs1), orphans-cons(fs1, ri, orphans(fs1, ri)), replay-cons-strong(fs1, ri, orphans(fs1, ri), fi, fo, log0), ri-inj(fi), ri-inj(ri), ubifs-cons(fs1, ri, orphans(fs1, ri), fi, fo, log0), inodekey(m) ∈ ri, asynced0 → boolvar0, n = pageno ∨ n ∈ abs-content(m, fs1, ri) ⊦ abs-content(m, fs1, ri)[pageno, buf][n] = fs1[ri[datakey(m, n)]].data, adr1 = ri[datakey(m, n)], adr1 = ri[inodekey(m)], datakey(m, n) = datakey(m, pageno), fs1[ri[inodekey(m)]].directory, adr1 ∈ fs1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 95:
# buf = VFS_PAGE_SIZE, orphans(fs1, ri).inodes?, fo.inodes?, afs-cons (abs-dirs(fs1, ri), abs-files(fs1, ri)[m, mkfile(fs1[ri[inodekey(m)]].size, fs1[ri[inodekey(m)]].meta, fs1[ri[inodekey(m)]].nlink, abs-content(m, fs1, ri)[pageno, buf])]), afs-cons(abs-dirs(fs1, ri), abs-files(fs1, ri)), file-node-cons(fs1, ri), log-cons(log0, fs1), orphans-cons(fs1, ri, orphans(fs1, ri)), replay-cons-strong(fs1, ri, orphans(fs1, ri), fi, fo, log0), ri-inj(ri), ri-inj(fi), ubifs-cons(fs1, ri, orphans(fs1, ri), fi, fo, log0), datakey(m, n) ∈ ri, inodekey(m) ∈ ri, asynced0 → boolvar0 ⊦ abs-content(m, fs1, ri)[pageno, buf][n] = fs1[ri[datakey(m, n)]].data, adr1 = ri[inodekey(m)], adr1 = ri[datakey(m, n)], datakey(m, n) = datakey(m, pageno), fs1[ri[inodekey(m)]].directory, adr1 ∈ fs1

Rule argument

Additional information

Used simplifier rules: ubifs-file-in: ⊦ datakey(ino, n) ∈ ri ∧ ubifs-cons(fs, ri, ro, fi, fo, log) → inodekey(ino) ∈ ri; (forward) from specification aubifs-inv%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% ⊦ n ∈ abs-content(ino, fs, ri) ↔ datakey(ino, n) ∈ ri; (s)