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Proof step 535 from proof refine-readpage (previous step)

# buf0 = VFS_PAGE_SIZE, afs_files = (cache_files ⊕ cache_pcache) ⊕ cache_icache, buf = buf0, err = err0, 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, ⌊err0⌋ , cache_sync → synced(cache_files, cache_icache, cache_pcache) ⊦ ⟪if err = ESUCCESS ∧ buf ≠ zeropage then let asynced = false in pcache_set#(m, pageno, buf, asynced; err, cache_pcache)⟫ ⟨afs_readpage#(mkinode(m, md, boolvar, m0, m1, m2), pageno, cache_dirs, afs_files, cache_asynced; buf0, err1)⟩ (afs_files = (cache_files ⊕ cache_pcache) ⊕ cache_icache ∧ buf = buf0 ∧ err = err1), datakey(m, pageno) ∈ cache_pcache

Heuristic symbolic execution applied rule if negative right

And obtained the following new goals

Proof step 536:
# buf0 = VFS_PAGE_SIZE, afs_files = (cache_files ⊕ cache_pcache) ⊕ cache_icache, buf = buf0, err = err0, 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, ⌊err0⌋ , cache_sync → synced(cache_files, cache_icache, cache_pcache) ⊦ ⟪skip⟫ ⟨afs_readpage#(mkinode(m, md, boolvar, m0, m1, m2), pageno, cache_dirs, afs_files, cache_asynced; buf0, err1)⟩ (afs_files = (cache_files ⊕ cache_pcache) ⊕ cache_icache ∧ buf = buf0 ∧ err = err1), datakey(m, pageno) ∈ cache_pcache

Rule argument

pos: right 1

Additional information

Used simplifier rules: ⊦ ⌊err⌋ → err ≠ ESUCCESS; (s)