[Imprint][Data Privacy Statement][E-Mail]

View long theorem info. View the proof. Back to main index. View the specification. View theorem base summary, View theorem base listing, the used properties by spec, the dependency list, the symbol table,

Proof step 131 from proof refine-writepage (previous step)

# buf = VFS_PAGE_SIZE, dirs = abs-dirs(fs, ri), err = err0, files = abs-files(fs, ri), inode = mkinode(m, md, boolvar1, m0, m1, m2), 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), inodekey(m) ∈ ri, asynced → boolvar0, ∀ adr. adr ∈ fs ⊦ ⟨if pre-writepage(inode, pageno, buf, dirs, files) then {{files[inode.ino].content[pageno] := buf; err := ESUCCESS} or fail#(; ; err); asynced := ?} else abort⟩ (files = abs-files(fs, ri) ∧ (asynced → boolvar2) ∧ ENOSPC = err), fs[ri[inodekey(m)]].directory

Heuristic symbolic execution applied rule if positive right

And obtained the following new goals

Proof step 132:
# buf = VFS_PAGE_SIZE, dirs = abs-dirs(fs, ri), err = err0, files = abs-files(fs, ri), inode = mkinode(m, md, boolvar1, m0, m1, m2), 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, asynced → boolvar0, ∀ adr. adr ∈ fs ⊦ ⟨{files[inode.ino].content[pageno] := buf; err := ESUCCESS} or fail#(; ; err); asynced := ?⟩ (files = abs-files(fs, ri) ∧ (asynced → boolvar2) ∧ ENOSPC = err), fs[ri[inodekey(m)]].directory

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)