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Proof step 601 from proof inv-rename-dir-dentry (previous step)

dirs[entries1[str0]] = mkdir(m1, md0, # links(entries1[str0], dirs), m3, entries0), dirs[entries2[str]] = mkdir(m2, md3, # links(entries2[str], dirs), m5, ∅), dirs[m] = mkdir(m4, md5, # links(m, dirs), m7, entries2), dirs[m0] = mkdir(m6, md6, # links(m0, dirs), m9, entries1), afs-cons(dirs, files), dcache-cons(dcache, dirs, files), icache-cons(icache, dirs, files), pcache-cons(pcache, dirs, files), synced(dirs, icache, pcache), str0 ∈ entries1, entries2[str] ∈ dirs, entries1[str0] ∈ dirs, m ∈ dirs, m0 ∈ dirs, str ∈ entries2, ⌊err0⌋ , asynced0 → synced(files, icache, pcache), m = m0 → md1 = md2, links(m, dirs) ≠ ∅ ∨ m = ROOT_INO, links(m0, dirs) ≠ ∅ ∨ m0 = ROOT_INO ⊦ ⟪if err0 = ESUCCESS then let asynced = false in {icache_set#(mkinode(m0, md2, true, # links(m0, dirs), m9, m6), asynced; err0, icache); icache_set#(mkinode(m, md1, true, # links(m, dirs), m7, m4), asynced; err0, icache); err := err0; if true then icache_set#(mkinode(entries2[str], md, true, # links(entries2[str], dirs), m5, m2), asynced; err, icache); dcache_delete#(m0, mkdentry(str0, entries1[str0]).name; err, dcache); dcache_set#(m, mkdentry(str, entries2[str]).name, mkdentry(str, entries2[str]); err, dcache)}⟫ (icache-cons(icache, dirs, files) ∧ dcache-cons(dcache, dirs, files) ∧ synced(dirs, icache, pcache) ∧ (asynced0 → synced(files, icache, pcache))), entries2[str] = ROOT_INO

Heuristic symbolic execution applied rule if negative right

And obtained the following new goals

Proof step 602:
dirs[m0] = mkdir(m6, md6, # links(m0, dirs), m9, entries1), dirs[m] = mkdir(m4, md5, # links(m, dirs), m7, entries2), dirs[entries2[str]] = mkdir(m2, md3, # links(entries2[str], dirs), m5, ∅), dirs[entries1[str0]] = mkdir(m1, md0, # links(entries1[str0], dirs), m3, entries0), afs-cons(dirs, files), dcache-cons(dcache, dirs, files), icache-cons(icache, dirs, files), pcache-cons(pcache, dirs, files), synced(dirs, icache, pcache), str ∈ entries2, m0 ∈ dirs, m ∈ dirs, entries1[str0] ∈ dirs, entries2[str] ∈ dirs, str0 ∈ entries1, ⌊err0⌋ , m = m0 → md1 = md2, asynced0 → synced(files, icache, pcache), links(m0, dirs) ≠ ∅ ∨ m0 = ROOT_INO, links(m, dirs) ≠ ∅ ∨ m = ROOT_INO ⊦ ⟪skip⟫ (icache-cons(icache, dirs, files) ∧ dcache-cons(dcache, dirs, files) ∧ synced(dirs, icache, pcache) ∧ (asynced0 → synced(files, icache, pcache))), entries2[str] = ROOT_INO

Rule argument

pos: right 1

Additional information

Used simplifier rules: ⊦ ⌊err⌋ → err ≠ ESUCCESS; (s)