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Proof step 402 from proof inv-rename-file-dentry (previous step)

dirs0[m3] = mkdir(m1, md1, # links(m3, dirs0), m4, entries), files[entries[str0]] = mkfile(m0, md0, # links(entries[str0], dirs0), content), err = ESUCCESS, icache = icache0[m3, mkientry(false, mkinode(m3, md2, true, # links(m3, dirs0), m4, m1))], afs-cons(dirs0, files), afs-cons (dirs0[m3, mkdir(m1, md2, # links(m3, dirs0), m4, entries)], files[entries[str0], mkfile(m, md3, # links(entries[str0], dirs0), content)]), dcache-cons(dcache, dirs0, files), icache-cons(icache0, dirs0, files), pcache-cons(pcache, dirs0, files), synced(dirs0, icache0, pcache), m3 ∈ dirs0, str0 ∈ entries, entries[str0] ∈ files, ¬ entries[str0] ∈ dirs0, asynced2 → synced(files, icache0, pcache), links(m3, dirs0) ≠ ∅ ∨ m3 = ROOT_INO ⊦ ⟪icache_set#(mkinode(entries[str0], md3, false, # links(entries[str0], dirs0), 0, m), false; err, icache); dcache_delete#(m3, mkdentry(str0, entries[str0]).name; err, dcache); dcache_set# (m3, 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, dirs0[m3, mkdir(m1, md2, # links(m3, dirs0), m4, entries)], files[entries[str0], (files[entries[str0]].size:= m).meta:= md3]) ∧ dcache-cons (dcache, dirs0[m3, mkdir(m1, md2, # links(m3, dirs0), m4, entries)], files[entries[str0], (files[entries[str0]].size:= m).meta:= md3]) ∧ pcache-cons (pcache, dirs0[m3, mkdir(m1, md2, # links(m3, dirs0), m4, entries)], files[entries[str0], (files[entries[str0]].size:= m).meta:= md3]) ∧ synced(dirs0[m3, mkdir(m1, md2, # links(m3, dirs0), m4, entries)], icache, pcache) ∧ (asynced2 → synced(files[entries[str0], (files[entries[str0]].size:= m).meta:= md3], icache, pcache)))

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 403:
asynced ↔ false, files[entries[str0]] = mkfile(m0, md0, # links(entries[str0], dirs0), content), dirs0[m3] = mkdir(m1, md1, # links(m3, dirs0), m4, entries), err = ESUCCESS, icache = icache0[m3, mkientry(false, mkinode(m3, md2, true, # links(m3, dirs0), m4, m1))], inode = mkinode(entries[str0], md3, false, # links(entries[str0], dirs0), 0, m), afs-cons (dirs0[m3, mkdir(m1, md2, # links(m3, dirs0), m4, entries)], files[entries[str0], mkfile(m, md3, # links(entries[str0], dirs0), content)]), afs-cons(dirs0, files), dcache-cons(dcache, dirs0, files), icache-cons(icache0, dirs0, files), pcache-cons(pcache, dirs0, files), synced(dirs0, icache0, pcache), entries[str0] ∈ files, str0 ∈ entries, m3 ∈ dirs0, asynced2 → synced(files, icache0, pcache), links(m3, dirs0) ≠ ∅ ∨ m3 = ROOT_INO ⊦ ⟪icache[inode.ino] := mkientry(asynced, inode); dcache_delete#(m3, mkdentry(str0, entries[str0]).name; err, dcache); dcache_set# (m3, 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, dirs0[m3, mkdir(m1, md2, # links(m3, dirs0), m4, entries)], files[entries[str0], (files[entries[str0]].size:= m).meta:= md3]) ∧ dcache-cons (dcache, dirs0[m3, mkdir(m1, md2, # links(m3, dirs0), m4, entries)], files[entries[str0], (files[entries[str0]].size:= m).meta:= md3]) ∧ pcache-cons (pcache, dirs0[m3, mkdir(m1, md2, # links(m3, dirs0), m4, entries)], files[entries[str0], (files[entries[str0]].size:= m).meta:= md3]) ∧ synced(dirs0[m3, mkdir(m1, md2, # links(m3, dirs0), m4, entries)], icache, pcache) ∧ (asynced2 → synced(files[entries[str0], (files[entries[str0]].size:= m).meta:= md3], icache, pcache))), entries[str0] ∈ dirs0

Rule argument

pos: right 1

Additional information

Used simplifier rules: icache_set#(INODE, DIRTY; ERR, ICACHE) {ICACHE[INODE.ino] := mkientry(DIRTY, INODE)};