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Proof step 395 from proof inv-rename-file-dentry (previous step)

asynced ↔ false, dirs0[m] = mkdir(m1, md1, # links(m, dirs0), m4, entries), files[entries[str0]] = mkfile(m0, md0, # links(entries[str0], dirs0), content), err = ESUCCESS, icache = icache1[inode.ino, mkientry(asynced, inode)], icache1 = icache0[m, mkientry(false, mkinode(m, md2, true, # links(m, dirs0), m4, m1))], inode = mkinode(m, md2, true, # links(m, dirs0), m4, m1), afs-cons(dirs0, files), afs-cons (dirs0[m, mkdir(m1, md2, # links(m, dirs0), m4, entries)], files[entries[str0], mkfile(m2, md, # links(entries[str0], dirs0), content)]), dcache-cons(dcache, dirs0, files), icache-cons(icache0, dirs0, files), pcache-cons(pcache, dirs0, files), synced(dirs0, icache0, pcache), m ∈ dirs0, str0 ∈ entries, entries[str0] ∈ files, asynced2 → synced(files, icache0, pcache), links(m, dirs0) ≠ ∅ ∨ m = ROOT_INO ⊦ ⟪ino := entries[str0]; dirs := dirs0[m, mkdir(m1, md2, # links(m, dirs0), m4, entries)]; icache_set# ((entries[str0] ∈ dirs ⊃ mkinode(entries[str0], dirs[entries[str0]].meta, true, dirs[entries[str0]].nlink, dirs[entries[str0]].nsubdirs, dirs[entries[str0]].size) ;mkinode (entries[str0], files [ino, (ino ∈ files ⊃ files[ino].size:= mkinode(entries[str0], md, false, # links(entries[str0], dirs0), 0, m2).size;files[ino]) .meta:= mkinode(entries[str0], md, false, # links(entries[str0], dirs0), 0, m2).meta ] [entries[str0] ] .meta, false, files [ino, (ino ∈ files ⊃ files[ino].size:= mkinode(entries[str0], md, false, # links(entries[str0], dirs0), 0, m2).size;files[ino]) .meta:= mkinode(entries[str0], md, false, # links(entries[str0], dirs0), 0, m2).meta ] [entries[str0] ] .nlink, 0, files [ino, (ino ∈ files ⊃ files[ino].size:= mkinode(entries[str0], md, false, # links(entries[str0], dirs0), 0, m2).size;files[ino]) .meta:= mkinode(entries[str0], md, false, # links(entries[str0], dirs0), 0, m2).meta ] [entries[str0] ] .size) ), false ; err, icache); dcache_delete# ((m ∈ dirs ⊃ mkinode(m, dirs[m].meta, true, dirs[m].nlink, dirs[m].nsubdirs, dirs[m].size) ;mkinode (m, (m = ino ∧ ino ∈ files ⊃ (files[ino].size:= mkinode(entries[str0], md, false, # links(entries[str0], dirs0), 0, m2).size) .meta:= mkinode(entries[str0], md, false, # links(entries[str0], dirs0), 0, m2).meta ;files[m] ) .meta, false, (m = ino ∧ ino ∈ files ⊃ (files[ino].size:= mkinode(entries[str0], md, false, # links(entries[str0], dirs0), 0, m2).size) .meta:= mkinode(entries[str0], md, false, # links(entries[str0], dirs0), 0, m2).meta ;files[m] ) .nlink, 0, (m = ino ∧ ino ∈ files ⊃ (files[ino].size:= mkinode(entries[str0], md, false, # links(entries[str0], dirs0), 0, m2).size) .meta:= mkinode(entries[str0], md, false, # links(entries[str0], dirs0), 0, m2).meta ;files[m] ) .size) ) .ino, mkdentry(str0, entries[str0]).name ; err, dcache); dcache_set# ((m ∈ dirs ⊃ mkinode(m, dirs[m].meta, true, dirs[m].nlink, dirs[m].nsubdirs, dirs[m].size) ;mkinode (m, (m = ino ∧ ino ∈ files ⊃ (files[ino].size:= mkinode(entries[str0], md, false, # links(entries[str0], dirs0), 0, m2).size) .meta:= mkinode(entries[str0], md, false, # links(entries[str0], dirs0), 0, m2).meta ;files[m] ) .meta, false, (m = ino ∧ ino ∈ files ⊃ (files[ino].size:= mkinode(entries[str0], md, false, # links(entries[str0], dirs0), 0, m2).size) .meta:= mkinode(entries[str0], md, false, # links(entries[str0], dirs0), 0, m2).meta ;files[m] ) .nlink, 0, (m = ino ∧ ino ∈ files ⊃ (files[ino].size:= mkinode(entries[str0], md, false, # links(entries[str0], dirs0), 0, m2).size) .meta:= mkinode(entries[str0], md, false, # links(entries[str0], dirs0), 0, m2).meta ;files[m] ) .size) ) .ino, mkdentry(mkdentry(str0, entries[str0]).name, mkdentry(str0, entries[str0]).ino).name, mkdentry(mkdentry(str0, entries[str0]).name, mkdentry(str0, entries[str0]).ino) ; err, dcache)⟫ ( icache-cons (icache, dirs, files [ino, (ino ∈ files ⊃ files[ino].size:= mkinode(entries[str0], md, false, # links(entries[str0], dirs0), 0, m2).size;files[ino]) .meta:= mkinode(entries[str0], md, false, # links(entries[str0], dirs0), 0, m2).meta ]) ∧ dcache-cons (dcache, dirs, files [ino, (ino ∈ files ⊃ files[ino].size:= mkinode(entries[str0], md, false, # links(entries[str0], dirs0), 0, m2).size;files[ino]) .meta:= mkinode(entries[str0], md, false, # links(entries[str0], dirs0), 0, m2).meta ]) ∧ pcache-cons (pcache, dirs, files [ino, (ino ∈ files ⊃ files[ino].size:= mkinode(entries[str0], md, false, # links(entries[str0], dirs0), 0, m2).size;files[ino]) .meta:= mkinode(entries[str0], md, false, # links(entries[str0], dirs0), 0, m2).meta ]) ∧ synced(dirs, icache, pcache) ∧ ( asynced2 → synced (files [ino, (ino ∈ files ⊃ files[ino].size:= mkinode(entries[str0], md, false, # links(entries[str0], dirs0), 0, m2).size;files[ino]) .meta:= mkinode(entries[str0], md, false, # links(entries[str0], dirs0), 0, m2).meta ], icache, pcache))), entries[str0] ∈ dirs0

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Rule argument

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