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Proof step 252 from proof refine-write_inode (previous step)

((cache_files ⊕ cache_pcache) ⊕ cache_icache)[m] = mkfile(m5, md1, m6, content0), cache_files[m] = mkfile(m3, md0, m4, content), cache_dirs[m] = mkdir(m7, md2, m8, m9, entries), afs_files = (cache_files ⊕ cache_pcache) ⊕ cache_icache, cache_dirs0 = cache_dirs, 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), ⌊err0⌋ , cache_sync → synced(cache_files, cache_icache, cache_pcache), m ∈ cache_dirs ∧ m0 = m8 ∧ m2 = m7 ∧ m1 = m9 ∧ boolvar ∨ m ∈ cache_files ∧ m0 = m4 ∧ m1 = 0 ∧ ¬ boolvar, cache_sync ∨ boolvar, m ∈ cache_dirs ∧ m0 = m8 ∧ m2 = m7 ∧ m1 = m9 ∧ boolvar ∨ m ∈ cache_files ∧ m0 = m6 ∧ m1 = 0 ∧ ¬ boolvar ⊦ ⟨afs_write_inode#(mkinode(m, md, boolvar, m0, m1, m2); err1, cache_dirs, afs_files; afs_asynced)⟩ (cache_dirs = cache_dirs0 ∧ afs_files = (cache_files ⊕ cache_pcache) ⊕ cache_icache ∧ (afs_asynced ↔ asynced) ∧ err0 = err1)

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 253:
cache_dirs[m] = mkdir(m7, md2, m8, m9, entries), cache_files[m] = mkfile(m3, md0, m4, content), ((cache_files ⊕ cache_pcache) ⊕ cache_icache)[m] = mkfile(m5, md1, m6, content0), afs_files = (cache_files ⊕ cache_pcache) ⊕ cache_icache, cache_dirs0 = cache_dirs, dirs = cache_dirs, err = err1, files = afs_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), ⌊err0⌋ , cache_sync → synced(cache_files, cache_icache, cache_pcache), m ∈ cache_dirs ∧ m0 = m8 ∧ m2 = m7 ∧ m1 = m9 ∧ boolvar ∨ m ∈ cache_files ∧ m0 = m6 ∧ m1 = 0 ∧ ¬ boolvar, cache_sync ∨ boolvar, m ∈ cache_dirs ∧ m0 = m8 ∧ m2 = m7 ∧ m1 = m9 ∧ boolvar ∨ m ∈ cache_files ∧ m0 = m4 ∧ m1 = 0 ∧ ¬ boolvar ⊦ ⟨if pre-write-inode(inode, dirs, files) then { {if inode.directory then dirs[inode.ino].meta := inode.meta else {files[inode.ino].meta := inode.meta; files[inode.ino].size := inode.size}; err := ESUCCESS} or fail#(; ; err); asynced := ?} else abort⟩ (dirs = cache_dirs0 ∧ files = (cache_files ⊕ cache_pcache) ⊕ cache_icache ∧ (asynced ↔ asynced0) ∧ err0 = err)

Rule argument

pos: right 1

Additional information

Used simplifier rules: afs_write_inode#(INODE; ERR, DIRS, FILES; ASYNCED) {if pre-write-inode(INODE, DIRS, FILES) then { {if INODE.directory then DIRS[INODE.ino].meta := INODE.meta else {FILES[INODE.ino].meta := INODE.meta; FILES[INODE.ino].size := INODE.size}; ERR := ESUCCESS} or fail#(; ; ERR); ASYNCED := ?} else abort };