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Proof step 455 from proof refine-readpage (previous step)

# buf0 = VFS_PAGE_SIZE, asynced ↔ cache_asynced, afs_files = (cache_files ⊕ cache_pcache) ⊕ cache_icache, buf = files[inode.ino].content[pageno], buf1 = buf0, dirs = cache_dirs, err = ESUCCESS, err1 = ESUCCESS, files = cache_files, inode = mkinode(m, md, boolvar, m0, m1, m2), 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), m ∈ cache_files, pageno ∈ files[inode.ino].content, cache_sync → synced(cache_files, cache_icache, cache_pcache) ⊦ ⟨afs_readpage#(mkinode(m, md, boolvar, m0, m1, m2), pageno, cache_dirs, afs_files, cache_asynced; buf0, err0)⟩ (afs_files = (cache_files ⊕ cache_pcache) ⊕ cache_icache ∧ buf = buf0 ∧ err = err0), datakey(m, pageno) ∈ cache_pcache, err = ESUCCESS ∧ buf ≠ zeropage

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 456:
# buf0 = VFS_PAGE_SIZE, cache_files[m].content[pageno] = zeropage, 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_dirs, cache_icache, cache_pcache), m ∈ cache_files, pageno ∈ cache_files[m].content, ¬ datakey(m, pageno) ∈ cache_pcache, cache_sync → synced(cache_files, cache_icache, cache_pcache) ⊦ ⟨afs_readpage#(mkinode(m, md, boolvar, m0, m1, m2), pageno, cache_dirs, (cache_files ⊕ cache_pcache) ⊕ cache_icache, cache_asynced; buf0, err0)⟩ (cache_files[m].content[pageno] = buf0 ∧ ESUCCESS = err0)

Rule argument

Additional information

Used simplifier rules: ⊦ mkinode(m, md, boolvar, m0, m1, m2).ino = m; (s)