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Proof step 4 from proof inv-unlink (previous step)

c_inode.ino = m, fs[ri[dentrykey(p_inode.ino, str)]].ino = m, c_inode.nlink = fs[ri[inodekey(m)]].nlink, p_inode.nlink = fs[ri[inodekey(p_inode.ino)]].nlink, c_inode.nsubdirs = fs[ri[inodekey(m)]].nsubdirs, p_inode.nsubdirs = fs[ri[inodekey(p_inode.ino)]].nsubdirs, p_inode.size = fs[ri[inodekey(p_inode.ino)]].size, dent = mkdentry(str, m), dent.dentry?, p_inode.directory, fs[ri[inodekey(p_inode.ino)]].directory, fo.inodes?, ro.inodes?, file-node-cons(fs, ri), log-cons(log, fs), orphans-cons(fs, ri, ro), replay-cons-strong(fs, ri, ro, fi, fo, log), ri-inj(fi), ri-inj(ri), ubifs-cons(fs, ri, ro, fi, fo, log), inodekey(p_inode.ino) ∈ ri, inodekey(m) ∈ ri, dentrykey(p_inode.ino, str) ∈ ri, 1 ≤ p_inode.size, c_inode.nlink = 1 → links(m, fs, ri) = ∅ ++ dentrykey(p_inode.ino, str), p_inode.nlink ≠ 0 ∨ p_inode.ino = ROOT_INO ⊦ ⟪aubifs_unlink#(fi, fo; p_inode, c_inode, dent, err, ri, ro, fs, log, boolvar)⟫ (ubifs-cons(fs, ri, ro, fi, fo, log) ∧ replay-cons-strong(fs, ri, ro, fi, fo, log) ∧ file-node-cons(fs, ri) ∧ orphans-cons(fs, ri, ro)), c_inode.nlink = 0, p_inode.size = 0, m = ROOT_INO, c_inode.directory, fs[ri[inodekey(m)]].directory, inodekey(m) ∈ ro, inodekey(p_inode.ino) ∈ ro

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
c_inode.ino = fs[ri[dentrykey(p_inode.ino, str)]].ino, p_inode.nlink = fs[ri[inodekey(p_inode.ino)]].nlink, c_inode.nlink = fs[ri[inodekey(c_inode.ino)]].nlink, p_inode.nsubdirs = fs[ri[inodekey(p_inode.ino)]].nsubdirs, c_inode.nsubdirs = fs[ri[inodekey(c_inode.ino)]].nsubdirs, p_inode.size = fs[ri[inodekey(p_inode.ino)]].size, dent = mkdentry(str, c_inode.ino), c_inode.ino ≠ ROOT_INO, c_inode.nlink ≠ 0, p_inode.size ≠ 0, fs[ri[inodekey(p_inode.ino)]].directory, p_inode.directory, ro.inodes?, fo.inodes?, file-node-cons(fs, ri), log-cons(log, fs), orphans-cons(fs, ri, ro), replay-cons-strong(fs, ri, ro, fi, fo, log), ri-inj(ri), ri-inj(fi), ubifs-cons(fs, ri, ro, fi, fo, log), dentrykey(p_inode.ino, str) ∈ ri, inodekey(c_inode.ino) ∈ ri, inodekey(p_inode.ino) ∈ ri, 1 ≤ p_inode.size, ¬ fs[ri[inodekey(c_inode.ino)]].directory, ¬ c_inode.directory, ¬ inodekey(p_inode.ino) ∈ ro, ¬ inodekey(c_inode.ino) ∈ ro, c_inode.nlink = 1 → links(c_inode.ino, fs, ri) = ∅ ++ dentrykey(p_inode.ino, str), p_inode.nlink ≠ 0 ∨ p_inode.ino = ROOT_INO ⊦ ⟪aubifs_unlink#(fi, fo; p_inode, c_inode, dent, err, ri, ro, fs, log, boolvar)⟫ (ubifs-cons(fs, ri, ro, fi, fo, log) ∧ replay-cons-strong(fs, ri, ro, fi, fo, log) ∧ file-node-cons(fs, ri) ∧ orphans-cons(fs, ri, ro))

Rule argument

Additional information

Used simplifier rules: ⊦ mkdentry(str, m).dentry?; (s)