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Proof step 38 from proof refine-writepage (previous step)

# buf = VFS_PAGE_SIZE, dirs = abs-dirs(fs1, ri), err = err0, files = abs-files(fs1, ri), inode = mkinode(m, md, boolvar1, m0, m1, m2), fo.inodes?, orphans(fs1, ri).inodes?, 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(fi), ri-inj(ri), ubifs-cons(fs1, ri, orphans(fs1, ri), fi, fo, log0), inodekey(m) ∈ ri, asynced → boolvar0 ⊦ ⟨if pre-writepage(inode, pageno, buf, dirs, files) then {{files[inode.ino].content[pageno] := buf; err := ESUCCESS} or fail#(; ; err); asynced := ?} else abort⟩ ( afs-cons(abs-dirs(fs1, ri), files) → abs-dirs(fs1, ri) = abs-dirs(fs1[adr1, datanode(datakey(m, pageno), buf)], ri[datakey(m, pageno), adr1]) ∧ files = abs-files(fs1[adr1, datanode(datakey(m, pageno), buf)], ri[datakey(m, pageno), adr1]) ∧ orphans (abs-dirs(fs1[adr1, datanode(datakey(m, pageno), buf)], ri[datakey(m, pageno), adr1]), abs-files(fs1[adr1, datanode(datakey(m, pageno), buf)], ri[datakey(m, pageno), adr1])) = abs-keys(orphans(fs1, ri)) ∧ (asynced → boolvar2) ∧ ESUCCESS = err), fs1[ri[inodekey(m)]].directory, adr1 ∈ fs1

Heuristic symbolic execution applied rule if positive right

And obtained the following new goals

Proof step 39:
# buf = VFS_PAGE_SIZE, dirs = abs-dirs(fs1, ri), err = err0, files = abs-files(fs1, ri), inode = mkinode(m, md, boolvar1, m0, m1, m2), orphans(fs1, ri).inodes?, fo.inodes?, 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), inodekey(m) ∈ ri, asynced → boolvar0 ⊦ ⟨{files[inode.ino].content[pageno] := buf; err := ESUCCESS} or fail#(; ; err); asynced := ?⟩ ( afs-cons(abs-dirs(fs1, ri), files) → abs-dirs(fs1, ri) = abs-dirs(fs1[adr1, datanode(datakey(m, pageno), buf)], ri[datakey(m, pageno), adr1]) ∧ files = abs-files(fs1[adr1, datanode(datakey(m, pageno), buf)], ri[datakey(m, pageno), adr1]) ∧ orphans (abs-dirs(fs1[adr1, datanode(datakey(m, pageno), buf)], ri[datakey(m, pageno), adr1]), abs-files(fs1[adr1, datanode(datakey(m, pageno), buf)], ri[datakey(m, pageno), adr1])) = abs-keys(orphans(fs1, ri)) ∧ (asynced → boolvar2) ∧ ESUCCESS = err), fs1[ri[inodekey(m)]].directory, adr1 ∈ fs1

Rule argument

pos: right 1

Additional information

Used simplifier rules: ⊦ pre-writepage(inode, n, buf, dirs, files) ↔ valid-file-ino(inode.ino, dirs, files) ∧ # buf = VFS_PAGE_SIZE; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).ino = m; (s)% ⊦ valid-file-ino(ino, dirs, files) ↔ ino ∈ files; (s)%⊦ ino ∈ abs-files(fs, ri) ↔ inodekey(ino) ∈ ri ∧ ¬ fs[ri[inodekey(ino)]].directory; (s)