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Proof step 42 from proof refine-readpage (previous step)

# buf0 = VFS_PAGE_SIZE, cache_icache[m] = mkientry(boolvar1, mkinode(m2, md0, boolvar, m3, m4, m5)), cache_pcache[datakey(m, pageno)] = mkpentry(boolvar0, buf1), (cache_files ⊕ cache_pcache)[m] = mkfile(m0, md, m1, content), 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), datakey(m, pageno) ∈ cache_pcache, m ∈ cache_files, pageno ∈ content, cache_sync → synced(cache_files, cache_icache, cache_pcache) ⊦ ∃ err0. ⌊err0⌋ ∧ ⟨err := err0⟩ (buf1 = buf0 ∧ ESUCCESS = err), buf1 = content[pageno], m ∈ cache_icache, m ∈ cache_icache ∧ boolvar, m ∈ cache_icache ∧ ¬ boolvar

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 43:
# buf0 = VFS_PAGE_SIZE, (∅)[m] = mkientry(boolvar1, mkinode(m2, md0, boolvar, m3, m4, m5)), cache_pcache[datakey(m, pageno)] = mkpentry(boolvar0, buf1), buf1 ≠ (cache_files[m].content ⊕ mkcontent(m, cache_pcache))[pageno], 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), datakey(m, pageno) ∈ cache_pcache, m ∈ cache_files, pageno ∈ cache_files[m].content ⊕ mkcontent(m, cache_pcache), ¬ m ∈ cache_icache, cache_sync → synced(cache_files, cache_icache, cache_pcache) ⊦ ∃ err0. ⌊err0⌋ ∧ ⟨err := err0⟩ (buf1 = buf0 ∧ ESUCCESS = err)

Rule argument

Additional information

Used simplifier rules: ⊦ ¬ ino ∈ icache → icache[ino] = (∅)[ino]; (s)%⊦ mkfile(m, md, m0, content) = mkfile(m1, md0, m2, content0) ↔ m = m1 ∧ md = md0 ∧ m0 = m2 ∧ content = content0; (ws)%⊦ (files ⊕ pcache)[ino] = mkfile (files[ino].size, files[ino].meta, files[ino].nlink, files[ino].content ⊕ mkcontent(ino, pcache)); (s)