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Proof step 2 from proof inv-link (previous step)

fo.inodes?, ro.inodes?, file-node-cons(fs, ri), log-cons(log, fs), orphans-cons(fs, ri, ro), pre-link(p_inode, c_inode, old_dent, new_dent, 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) ⊦ ⟪aubifs_link#(old_dent, 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) ∧ ri-inj(ri) ∧ log-cons(log, fs))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
fs[ri[dentrykey(ino, old_dent.name)]].ino = old_dent.ino, c_inode.ino = old_dent.ino, p_inode.nlink = fs[ri[inodekey(p_inode.ino)]].nlink, c_inode.nlink = fs[ri[inodekey(old_dent.ino)]].nlink, p_inode.nsubdirs = fs[ri[inodekey(p_inode.ino)]].nsubdirs, c_inode.nsubdirs = fs[ri[inodekey(old_dent.ino)]].nsubdirs, p_inode.size = fs[ri[inodekey(p_inode.ino)]].size, old_dent.dentry?, 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, old_dent.name) ∈ ri, inodekey(p_inode.ino) ∈ ri, inodekey(old_dent.ino) ∈ ri, inodekey(ino) ∈ ri, ¬ c_inode.directory, ¬ fs[ri[inodekey(old_dent.ino)]].directory, ¬ inodekey(old_dent.ino) ∈ ro, ¬ dentrykey(p_inode.ino, new_dent.name) ∈ ri, ¬ inodekey(p_inode.ino) ∈ ro, ¬ inodekey(ino) ∈ ro, fs[ri[inodekey(ino)]].nlink ≠ 0 ∨ ino = ROOT_INO, p_inode.nlink ≠ 0 ∨ p_inode.ino = ROOT_INO ⊦ ⟪aubifs_link#(old_dent, 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))

Rule argument

Additional information

Used simplifier rules: ubifs-parent-in: ⊦ dentrykey(ino, str) ∈ ri ∧ ubifs-cons(fs, ri, ro, fi, fo, log) → inodekey(ino) ∈ ri; (forward) from specification aubifs-inv% ⊦ ubifs-cons(fs, ri, ro, fi, fo, log) → log-cons(log, fs); (ss)% ⊦ ubifs-cons(fs, ri, ro, fi, fo, log) → ri-inj(ri); (ss)%⊦ valid-file-ino(ino, fs, ri) ↔ inodekey(ino) ∈ ri ∧ ¬ fs[ri[inodekey(ino)]].directory; (s)%⊦ valid-file-inode(inode, fs, ri) ↔ valid-file-ino(inode.ino, fs, ri) ∧ (inode.directory ↔ fs[ri[inodekey(inode.ino)]].directory) ∧ inode.nlink = fs[ri[inodekey(inode.ino)]].nlink ∧ inode.nsubdirs = fs[ri[inodekey(inode.ino)]].nsubdirs; (s)%⊦ valid-dir-inode(inode, fs, ri) ↔ valid-dir-ino(inode.ino, fs, ri) ∧ (inode.directory ↔ fs[ri[inodekey(inode.ino)]].directory) ∧ inode.nlink = fs[ri[inodekey(inode.ino)]].nlink ∧ inode.nsubdirs = fs[ri[inodekey(inode.ino)]].nsubdirs ∧ inode.size = fs[ri[inodekey(inode.ino)]].size; (s)%⊦ valid-negdentry(ino, dent, fs, ri, ro) ↔ dent.negdentry? ∧ valid-parent-ino(ino, fs, ri, ro) ∧ ¬ dentrykey(ino, dent.name) ∈ ri; (s)% ⊦ valid-ino(ino, fs, ri) ↔ inodekey(ino) ∈ ri; (s)%⊦ valid-dir-ino(ino, fs, ri) ↔ inodekey(ino) ∈ ri ∧ fs[ri[inodekey(ino)]].directory; (s)%⊦ valid-parent-ino(ino, fs, ri, ro) ↔ ( valid-dir-ino(ino, fs, ri) ∧ (fs[ri[inodekey(ino)]].nlink ≠ 0 ∨ ino = ROOT_INO)) ∧ ¬ inodekey(ino) ∈ ro; (s)%⊦ valid-dentry(ino, dent, fs, ri, ro) ↔ dent.dentry? ∧ valid-parent-ino(ino, fs, ri, ro) ∧ valid-ino(dent.ino, fs, ri) ∧ dentrykey(ino, dent.name) ∈ ri ∧ fs[ri[dentrykey(ino, dent.name)]].ino = dent.ino; (s)%⊦ valid-dentry(dent, fs, ri, ro) ↔ (∃ ino. valid-dentry(ino, dent, fs, ri, ro)); (s)%⊦ pre-link(p_inode, c_inode, old_dent, new_dent, fs, ri, ro) ↔ ( valid-dentry(old_dent, fs, ri, ro) ∧ valid-negdentry(p_inode.ino, new_dent, fs, ri, ro) ∧ ¬ inodekey(old_dent.ino) ∈ ro) ∧ valid-dir-inode(p_inode, fs, ri) ∧ valid-file-inode(c_inode, fs, ri) ∧ c_inode.ino = old_dent.ino; (s)