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Proof step 4 from proof refine-iget (previous step)

boolvar0 ↔ boolvar, dirs = abs-dirs(fs, ri), err = err0, fi0 = fi, files = abs-files(fs, ri), fo0 = fo, fs0 = fs, ino0 = ino, inode = p_inode, log0 = log, orphans(dirs, files) = abs-keys(ro), ri0 = ri, ro0 = ro, ro.inodes?, fo.inodes?, afs-cons(dirs, files), file-node-cons(fs, ri), log-cons(log, fs), orphans-cons(fs, ri, ro), pre-iget(ino, dirs, files), pre-iget(ino, fs, ri), replay-cons-strong(fs, ri, ro, fi, fo, log), ri-inj(ri), ri-inj(fi), ubifs-cons(fs, ri, ro, fi, fo, log), asynced → boolvar ⊦ [aubifs_iget#(ino, ri, fi, ro, fo, fs, log, boolvar; inode, err)] ( true → ⟨afs_iget#(ino, dirs, files, asynced; p_inode, err0)⟩ ( (dirs = abs-dirs(fs, ri) ∧ files = abs-files(fs, ri) ∧ orphans(dirs, files) = abs-keys(ro) ∧ (asynced → boolvar)) ∧ inode = p_inode ∧ err = err0))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
err = err0, inode = p_inode, 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(ino) ∈ ri, asynced → boolvar ⊦ [aubifs_iget#(ino, ri, fi, orphans(fs, ri), fo, fs, log, boolvar; inode, err)] ⟨afs_iget#(ino, abs-dirs(fs, ri), abs-files(fs, ri), asynced; p_inode, err0)⟩ ((asynced → boolvar) ∧ inode = p_inode ∧ err = err0)

Rule argument

Additional information

Used simplifier rules: ⊦ ino ∈ abs-files(fs, ri) ↔ inodekey(ino) ∈ ri ∧ ¬ fs[ri[inodekey(ino)]].directory; (s)%⊦ ino ∈ abs-dirs(fs, ri) ↔ inodekey(ino) ∈ ri ∧ fs[ri[inodekey(ino)]].directory; (s)% ⊦ valid-ino(ino, dirs, files) ↔ ino ∈ dirs ∨ ino ∈ files; (s)% ⊦ pre-iget(ino, dirs, files) ↔ valid-ino(ino, dirs, files); (s)% ⊦ valid-ino(ino, fs, ri) ↔ inodekey(ino) ∈ ri; (s)% ⊦ pre-iget(ino, fs, ri) ↔ valid-ino(ino, fs, ri); (s)%⊦ ro.inodes? → (abs-keys(ro) = abs-keys(orphans(fs, ri)) ↔ ro = orphans(fs, ri)); (s)%⊦ afs-cons(abs-dirs(fs, ri), abs-files(fs, ri)) → orphans(abs-dirs(fs, ri), abs-files(fs, ri)) = abs-keys(orphans(fs, ri)); (s)