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Proof step 154 from proof refine-rmdir (previous step)

(m6 = entries3[str] ⊃ mkdir(m5, md0, m3, m7, entries);mkdir(m0, md, # links(m6, cache_dirs), m1, entries3 -- str)) = mkdir(m4, md3, m14, m15, entries0), (entries3[str] = m6 ⊃ mkdir(m0, md6, # links(entries3[str], cache_dirs), m1, entries3 -- str) ;mkdir(m2, md1, # links(entries3[str], cache_dirs), m13, ∅) ) = mkdir(m5, md2, m3 + 1, m7, entries), (entries3[str] = m6 ⊃ mkdir(m5, md, m3, m7, entries);mkdir(m5, md2, m3, m7, entries)) = mkdir(m, md4, m8, m9, entries1), cache_dirs[m6] = mkdir(m0 + 1, md6, # links(m6, cache_dirs), m1 + 1, entries3), cache_dirs[entries3[str]] = mkdir(m2, md1, # links(entries3[str], cache_dirs), m13, ∅), afs_files = (cache_files ⊕ cache_pcache) ⊕ cache_icache, dirs = cache_dirs[entries3[str], mkdir(m5, md2, m3, m7, entries)] [m6, (m6 = entries3[str] ⊃ mkdir(m5, md2, m3, m7, entries);mkdir(m0, md6, # links(m6, cache_dirs), m1, entries3 -- str)).meta:= md ], files = afs_files, ino = inode.ino, inode = mkinode(entries3[str], md0, true, # links(entries3[str], cache_dirs), m13, m2), afs-cons(cache_dirs, (cache_files ⊕ cache_pcache) ⊕ cache_icache), afs-cons(cache_dirs, cache_files), afs-cons (cache_dirs[m6, (m6 = entries3[str] ⊃ mkdir(m5, md2, m3, m7, entries);mkdir(m0, md6, # links(m6, cache_dirs), m1, entries3 -- str)).meta:= md] [entries3[str], mkdir(m, md0, m8, m9, entries1) ], cache_files), dcache-cons(cache_dcache, cache_dirs, cache_files), dcache-cons (cache_dcache -- dentrykey(m6, str), cache_dirs[m6, (m6 = entries3[str] ⊃ mkdir(m5, md2, m3, m7, entries);mkdir(m0, md6, # links(m6, cache_dirs), m1, entries3 -- str)).meta:= md] [entries3[str], mkdir(m, md0, m8, m9, entries1) ], cache_files), icache-cons(cache_icache, cache_dirs, cache_files), icache-cons (cache_icache[entries3[str], mkientry(false, mkinode(entries3[str], md0, true, m8, m9, m))][m6, mkientry(false, mkinode(m6, md3, true, m14, m15, m4))], cache_dirs[m6, (m6 = entries3[str] ⊃ mkdir(m5, md2, m3, m7, entries);mkdir(m0, md6, # links(m6, cache_dirs), m1, entries3 -- str)).meta:= md] [entries3[str], mkdir(m, md0, m8, m9, entries1) ], cache_files), pcache-cons(cache_pcache, cache_dirs, cache_files), pcache-cons (cache_pcache, cache_dirs[m6, (m6 = entries3[str] ⊃ mkdir(m5, md2, m3, m7, entries);mkdir(m0, md6, # links(m6, cache_dirs), m1, entries3 -- str)).meta:= md] [entries3[str], mkdir(m, md0, m8, m9, entries1) ], cache_files), synced (cache_dirs[m6, (m6 = entries3[str] ⊃ mkdir(m5, md2, m3, m7, entries);mkdir(m0, md6, # links(m6, cache_dirs), m1, entries3 -- str)).meta:= md] [entries3[str], mkdir(m, md0, m8, m9, entries1) ], cache_icache[entries3[str], mkientry(false, mkinode(entries3[str], md0, true, m8, m9, m))][m6, mkientry(false, mkinode(m6, md3, true, m14, m15, m4))], cache_pcache), synced(cache_dirs, cache_icache, cache_pcache), ino ∈ dirs, str ∈ entries3, entries3[str] ∈ cache_dirs, m6 ∈ cache_dirs, cache_sync → synced(cache_files, cache_icache, cache_pcache), cache_sync → synced (cache_files, cache_icache[entries3[str], mkientry(false, mkinode(entries3[str], md0, true, m8, m9, m))] [m6, mkientry(false, mkinode(m6, md3, true, m14, m15, m4)) ], cache_pcache), links(m6, cache_dirs) ≠ ∅ ∨ m6 = ROOT_INO ⊦ ⟨dirs[ino].meta := inode.meta; p_inode := (m6 ∈ dirs ⊃ mkinode(m6, dirs[m6].meta, true, dirs[m6].nlink, dirs[m6].nsubdirs, dirs[m6].size) ;mkinode(m6, files[m6].meta, false, files[m6].nlink, 0, files[m6].size) ); c_inode := getinode(entries3[str], dirs, files); err := ESUCCESS; asynced := ?⟩ ( dirs = cache_dirs [m6, (m6 = entries3[str] ⊃ mkdir(m5, md2, m3, m7, entries);mkdir(m0, md6, # links(m6, cache_dirs), m1, entries3 -- str)).meta:= md ] [entries3[str], (entries3[str] = m6 ⊃ mkdir(m5, md, m3, m7, entries);mkdir(m5, md2, m3, m7, entries)).meta:= md0 ] ∧ files = (cache_files ⊕ cache_pcache) ⊕ cache_icache[entries3[str], mkientry(false, mkinode(entries3[str], md0, true, m8, m9, m))] [m6, mkientry(false, mkinode(m6, md3, true, m14, m15, m4)) ] ∧ (asynced ↔ asynced0) ∧ mkinode(m6, md3, true, m14, m15, m4) = p_inode ∧ mkinode(entries3[str], md0, true, m8, m9, m) = c_inode ∧ ESUCCESS = err), entries3[str] = ROOT_INO, ino ∈ files

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Rule argument

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