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Proof step 6 from proof inv-readdir (previous step)

asynced ↔ asynced0, inode = mkinode(m, md, boolvar, m0, m1, m2), afs-cons(dirs, files), dcache-cons(dcache, dirs, files), icache-cons(icache, dirs, files), pcache-cons(pcache, dirs, files), synced(dirs, icache, pcache), m ∈ dirs, asynced1 → synced(files, icache, pcache) ⊦ ⟪if pre-readdir(inode.ino, dirs, files) then afs_readdir#(inode, dirs, files, asynced; strings, err) else abort⟫ true

Heuristic symbolic execution applied rule if positive right

And obtained the following new goals

Proof step 7:
asynced ↔ asynced0, inode = mkinode(m, md, boolvar, m0, m1, m2), afs-cons(dirs, files), dcache-cons(dcache, dirs, files), icache-cons(icache, dirs, files), pcache-cons(pcache, dirs, files), synced(dirs, icache, pcache), m ∈ dirs, asynced1 → synced(files, icache, pcache) ⊦ ⟪afs_readdir#(inode, dirs, files, asynced; strings, err)⟫ true

Rule argument

pos: right 1

Additional information

Used simplifier rules: ⊦ mkinode(m, md, boolvar, m0, m1, m2).ino = m; (s)% ⊦ pre-readdir(ino, dirs, files) ↔ valid-dir-ino(ino, dirs, files); (s)% ⊦ valid-dir-ino(ino, dirs, files) ↔ ino ∈ dirs; (s)