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Proof step 62 from proof crash-neutral-link (previous step)

files1[entries[str]] = mkfile(m0, md4, # links(entries[str], dirs0), content0), dirs0[m] = mkdir(m1, md2, # links(m, dirs0), m5, entries1), dirs0[ino1] = mkdir(m4, md3, # links(ino1, dirs0), m6, entries0), entries0[str] = entries[str], dirs0[ino0] = mkdir(m2, md1, # links(ino0, dirs0), m8, entries), afs-cons(dirs0, files1), m ∈ dirs0, ino1 ∈ dirs0, entries[str] ∈ files1, ino0 ∈ dirs0, str ∈ entries, str ∈ entries0, links(ino1, dirs0) ≠ ∅ ∨ ino1 = ROOT_INO, links(m, dirs0) ≠ ∅ ∨ m = ROOT_INO, links(ino0, dirs0) ≠ ∅ ∨ ino0 = ROOT_INO ⊦ ⌊EFAIL⌋ ∧ ⟨err := EFAIL; asynced := ?⟩ asynced, ⟨let ino = entries[str] in {files := files1[entries[str], mkfile(m0, md4, # links(entries[str], dirs0) + 1, content0)]; dirs := dirs0[m, mkdir(m1 + 1, md, # links(m, dirs0), m5, entries1[str0, entries[str]])]; if ino ∈ files then {files[ino].size := m11; files[ino].meta := md5} else if ino ∈ dirs then dirs[ino].meta := md5}; p_inode := (m ∈ dirs ⊃ mkinode(m, dirs[m].meta, true, dirs[m].nlink, dirs[m].nsubdirs, dirs[m].size) ;mkinode(m, files[m].meta, false, files[m].nlink, 0, files[m].size) ); c_inode := getinode(mkdentry(str, entries0[str]).ino, dirs, files); err := ESUCCESS; asynced := ?⟩ (asynced ∧ dirs0 \ orphans(dirs0, files1) = dirs \ orphans(dirs, files) ∧ files1 \ orphans(dirs0, files1) = files \ orphans(dirs, files)), entries[str] ∈ dirs0, str0 ∈ entries1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 63:
dirs0[ino0] = mkdir(m2, md1, # links(ino0, dirs0), m8, entries), entries0[str] = entries[str], dirs0[ino1] = mkdir(m4, md3, # links(ino1, dirs0), m6, entries0), dirs0[m] = mkdir(m1, md2, # links(m, dirs0), m5, entries1), files1[entries[str]] = mkfile(m0, md4, # links(entries[str], dirs0), content0), afs-cons(dirs0, files1), str ∈ entries0, str ∈ entries, ino0 ∈ dirs0, entries[str] ∈ files1, ino1 ∈ dirs0, m ∈ dirs0, ¬ str0 ∈ entries1, ¬ entries[str] ∈ dirs0, links(ino0, dirs0) ≠ ∅ ∨ ino0 = ROOT_INO, links(m, dirs0) ≠ ∅ ∨ m = ROOT_INO, links(ino1, dirs0) ≠ ∅ ∨ ino1 = ROOT_INO ⊦ ⟨let ino = entries[str] in {files := files1[entries[str], mkfile(m0, md4, # links(entries[str], dirs0) + 1, content0)]; dirs := dirs0[m, mkdir(m1 + 1, md, # links(m, dirs0), m5, entries1[str0, entries[str]])]; if ino ∈ files then {files[ino].size := m11; files[ino].meta := md5} else if ino ∈ dirs then dirs[ino].meta := md5}; p_inode := (m ∈ dirs ⊃ mkinode(m, dirs[m].meta, true, dirs[m].nlink, dirs[m].nsubdirs, dirs[m].size) ;mkinode(m, files[m].meta, false, files[m].nlink, 0, files[m].size) ); c_inode := getinode(mkdentry(str, entries0[str]).ino, dirs, files); err := ESUCCESS; asynced := ?⟩ (asynced ∧ dirs0 \ orphans(dirs0, files1) = dirs \ orphans(dirs, files) ∧ files1 \ orphans(dirs0, files1) = files \ orphans(dirs, files)), ⟨err := EFAIL; asynced := ?⟩ asynced

Rule argument

Additional information

Used simplifier rules: ⊦ ⌊EFAIL⌋ ; (s)