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Proof step 56 from proof refine-writepage (previous step)

# buf = VFS_PAGE_SIZE, afs_files = (cache_files ⊕ cache_pcache) ⊕ cache_icache, dirs = cache_dirs, err = err1, files = afs_files, inode = mkinode(m, md, boolvar, m0, m1, m2), afs-cons(cache_dirs, (cache_files ⊕ cache_pcache) ⊕ cache_icache), afs-cons(cache_dirs, cache_files), dcache-cons(cache_dcache, cache_dirs, cache_files), icache-cons(cache_icache, cache_dirs, cache_files), pcache-cons(cache_pcache, cache_dirs, cache_files), synced(cache_files, cache_icache, cache_pcache), synced(cache_dirs, cache_icache, cache_pcache), m ∈ cache_files, ⌊err0⌋ ⊦ ⟨fail#(; ; err); asynced1 := ?⟩ (files = (cache_files ⊕ cache_pcache) ⊕ cache_icache ∧ (asynced1 ↔ asynced0) ∧ err0 = err), ∃ asynced. files[inode.ino, files[inode.ino].content:= files[inode.ino].content[pageno, buf]] = (cache_files ⊕ cache_pcache) ⊕ cache_icache ∧ (asynced ↔ asynced0) ∧ err0 = ESUCCESS

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 57:
# buf = VFS_PAGE_SIZE, afs-cons(cache_dirs, cache_files), afs-cons(cache_dirs, (cache_files ⊕ cache_pcache) ⊕ cache_icache), dcache-cons(cache_dcache, cache_dirs, cache_files), icache-cons(cache_icache, cache_dirs, cache_files), pcache-cons(cache_pcache, cache_dirs, cache_files), synced(cache_dirs, cache_icache, cache_pcache), synced(cache_files, cache_icache, cache_pcache), m ∈ cache_files, ⌊err0⌋ ⊦ ⟨fail#(; ; err); asynced1 := ?⟩ ((asynced1 ↔ asynced0) ∧ err0 = err)

Rule argument

Additional information

Used simplifier rules: ⊦ ⌊err⌋ → err ≠ ESUCCESS; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).ino = m; (s)