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Proof step 5 from proof inv-link (previous step)

c_inode.ino = fs[ri[dentrykey(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, fs[ri[inodekey(ino)]].directory, fs[ri[inodekey(p_inode.ino)]].directory, p_inode.directory, ro.inodes?, fo.inodes?, new_dent.negdentry?, 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(ino, str) ∈ ri, inodekey(p_inode.ino) ∈ ri, inodekey(c_inode.ino) ∈ ri, inodekey(ino) ∈ ri, ¬ fs[ri[inodekey(c_inode.ino)]].directory, ¬ c_inode.directory, ¬ inodekey(ino) ∈ ro, ¬ inodekey(p_inode.ino) ∈ ro, ¬ dentrykey(p_inode.ino, new_dent.name) ∈ ri, ¬ inodekey(c_inode.ino) ∈ ro, fs[ri[inodekey(ino)]].nlink ≠ 0 ∨ ino = ROOT_INO, p_inode.nlink ≠ 0 ∨ p_inode.ino = ROOT_INO ⊦ ⟪aubifs_link#(mkdentry(str, fs[ri[dentrykey(ino, str)]].ino), fi, ro, fo; p_inode, c_inode, new_dent, err, ri, 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))

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 6:
c_inode.ino = fs[ri[dentrykey(ino, str)]].ino, c_inode.nlink = fs[ri[inodekey(c_inode.ino)]].nlink, p_inode.nlink = fs[ri[inodekey(p_inode.ino)]].nlink, c_inode.nsubdirs = fs[ri[inodekey(c_inode.ino)]].nsubdirs, p_inode.nsubdirs = fs[ri[inodekey(p_inode.ino)]].nsubdirs, p_inode.size = fs[ri[inodekey(p_inode.ino)]].size, new_dent = negdentry(str0), p_inode.directory, fs[ri[inodekey(p_inode.ino)]].directory, fs[ri[inodekey(ino)]].directory, fo.inodes?, ro.inodes?, new_dent.negdentry?, 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(ino) ∈ ri, inodekey(c_inode.ino) ∈ ri, inodekey(p_inode.ino) ∈ ri, dentrykey(ino, str) ∈ ri, p_inode.nlink ≠ 0 ∨ p_inode.ino = ROOT_INO, fs[ri[inodekey(ino)]].nlink ≠ 0 ∨ ino = ROOT_INO ⊦ ⟪aubifs_link#(mkdentry(str, fs[ri[dentrykey(ino, str)]].ino), fi, ro, fo; p_inode, c_inode, new_dent, err, ri, 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)), fs[ri[inodekey(c_inode.ino)]].directory, c_inode.directory, inodekey(ino) ∈ ro, inodekey(p_inode.ino) ∈ ro, dentrykey(p_inode.ino, str0) ∈ ri, inodekey(c_inode.ino) ∈ ro

Rule argument

spec: dentry name: elim-02 seq: ⊦ dent.negdentry? → (str = dent.name ↔ dent = negdentry(str)) subst: [dent, str] → [new_dent, str0]

Additional information

Used simplifier rules: ⊦ dent.negdentry? → (str = dent.name ↔ dent = negdentry(str)); (elim) Used terms: new_dent, str0