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Proof step 190 from proof inv-unlink (previous step)

# links(entries[str], dirs0) = m1 + 1, dirs0[ino1] = mkdir(m, md1, # links(ino1, dirs0), m2, entries), files0[entries[str]] = mkfile(m0, md, m1 + 1, content), dirs = dirs0[ino1, mkdir(m - 1, md1, # links(ino1, dirs0), m2, entries -- str)], err = ESUCCESS, files = files1[ino, files1[ino].size:= inode.size][ino, files1[ino, files1[ino].size:= inode.size][ino].meta:= inode.meta], files1 = files0[entries[str], mkfile(m0, md, m1, content)], ino = inode.ino, inode = mkinode(entries[str], md, false, # links(entries[str], dirs0), 0, m0), dom of < ino0, afs-cons(dirs, files), afs-cons(dirs0, files0), ispath(q, ROOT_INO, ino1, dirs0, files0), of-cons(of, dirs0, files0), pw(user, md1), px(user, md1), px-parent(user, q, ROOT_INO, dirs0, files0), ino ∈ files1, ino1 ∈ dirs0, str ∈ entries, entries[str] ∈ files0, 1 ≤ m, links(ino1, dirs0) ≠ ∅ ∨ ino1 = ROOT_INO ⊦ ⟪vfs_put_inode#(getinode(entries[str], dirs, files), of, asynced; err, dirs, files)⟫ (of-cons(of, dirs, files) ∧ afs-cons(dirs, files)), m = 0, entries[str] ∈ dirs0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 191:
# links(entries[str], dirs0) = m1 + 1, files0[entries[str]] = mkfile(m0, md, m1 + 1, content), dirs0[ino1] = mkdir(m, md1, # links(ino1, dirs0), m2, entries), dirs = dirs0[ino1, mkdir(m - 1, md1, # links(ino1, dirs0), m2, entries -- str)], err = ESUCCESS, files = files0[entries[str], mkfile(m0, md, m1, content)], m ≠ 0, dom of < ino0, afs-cons(dirs0, files0), afs-cons(dirs0[ino1, mkdir(m - 1, md1, # links(ino1, dirs0), m2, entries -- str)], files0[entries[str], mkfile(m0, md, m1, content)]), ispath(q, ROOT_INO, ino1, dirs0, files0), of-cons(of, dirs0, files0), pw(user, md1), px(user, md1), px-parent(user, q, ROOT_INO, dirs0, files0), str ∈ entries, ino1 ∈ dirs0, entries[str] ∈ files0, 1 ≤ m, ¬ entries[str] ∈ dirs0, links(ino1, dirs0) ≠ ∅ ∨ ino1 = ROOT_INO ⊦ ⟪vfs_put_inode#(getinode(entries[str], dirs, files), of, asynced; err, dirs, files)⟫ (of-cons(of, dirs, files) ∧ afs-cons(dirs, files))

Rule argument

Additional information

Used simplifier rules: ⊦ ino ∈ files[ino0, af] ↔ ino ∈ files; (s)% ⊦ mkfile(m, md, m0, content).meta:= md0 = mkfile(m, md0, m0, content); (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).meta = md; (s)% ⊦ files[ino, af][ino, af0] = files[ino, af0]; (s)% ⊦ mkfile(m, md, m0, content).size:= m1 = mkfile(m1, md, m0, content); (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).size = m2; (s)% ⊦ files[ino, af][ino0] = (ino0 = ino ∧ ino ∈ files ⊃ af;files[ino0]); (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).ino = m; (s)