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Proof step 50 from proof inv-renam (previous step)

new_dent = negdentry(str0), old_dent = mkdentry(str, fs[ri[dentrykey(m4, str)]].ino), old_parent_inode = mkinode(m4, md, true, fs[ri[inodekey(m4)]].nlink, fs[ri[inodekey(m4)]].nsubdirs, fs[ri[inodekey(m4)]].size), fs[ri[inodekey(m4)]].size ≠ 0, fs[ri[inodekey(m4)]].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), inodekey(m4) ∈ ri, inodekey(fs[ri[dentrykey(m4, str)]].ino) ∈ ri, dentrykey(m4, str) ∈ ri, 1 ≤ fs[ri[inodekey(m4)]].size, ¬ dentrykey(m4, str0) ∈ ri, ¬ inodekey(m4) ∈ ro, boolvar → 1 ≤ fs[ri[inodekey(m4)]].nsubdirs, ¬ fs[ri[inodekey(fs[ri[dentrykey(m4, str)]].ino)]].directory ∧ ¬ boolvar ∧ m0 = fs[ri[inodekey(fs[ri[dentrykey(m4, str)]].ino)]].nlink ∧ m1 = fs[ri[inodekey(fs[ri[dentrykey(m4, str)]].ino)]].nsubdirs ∨ fs[ri[inodekey(fs[ri[dentrykey(m4, str)]].ino)]].directory ∧ boolvar ∧ m0 = fs[ri[inodekey(fs[ri[dentrykey(m4, str)]].ino)]].nlink ∧ m1 = fs[ri[inodekey(fs[ri[dentrykey(m4, str)]].ino)]].nsubdirs ∧ m2 = fs[ri[inodekey(fs[ri[dentrykey(m4, str)]].ino)]].size, fs[ri[inodekey(m4)]].nlink ≠ 0 ∨ m4 = ROOT_INO ⊦ ⟪aubifs_rename_new_keep_parent# (boolvar, mkinode(fs[ri[dentrykey(m4, str)]].ino, md0, boolvar, m0, m1, m2), fi, ro, fo ; old_parent_inode, old_dent, new_dent, err, ri, fs, log, boolvar2); new_parent_inode := old_parent_inode⟫ (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))

User applied rule insert program lemma

And obtained the following new goals

Rule argument

spec: <toplevel> name: inv-rename-new-keep-parent seq: 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), ri-inj(fi), log-cons(log, fs), ro.inodes?, fo.inodes?, pre-rename-new-keep-parent (parent_inode, old_dent, old_child_inode, new_dent, fs, ri, ro), boolvar ↔ old_child_inode.directory ⊦ ⟪aubifs_rename_new_keep_parent# (boolvar, old_child_inode, fi, ro, fo ; parent_inode, old_dent, new_dent, err, ri, fs, log, boolvar0)⟫ ( 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)) subst: [fo, ro, fi, old_child_inode, boolvar, boolvar0, log, fs, ri, err, new_dent, old_dent, parent_inode] → [fo, ro, fi, mkinode (fs[ri[dentrykey(m4, str)]].ino, md0, boolvar, m0, m1, m2), boolvar, boolvar2, log, fs, ri, err, new_dent, old_dent, old_parent_inode] flags: List([[1,0,0]])

Additional information

Used simplifier rules: ⊦ ubifs-cons(fs, ri, ro, fi, fo, log) → ri-inj(ri); (ss)% ⊦ ubifs-cons(fs, ri, ro, fi, fo, log) → log-cons(log, fs); (ss)% ⊦ ubifs-cons(fs, ri, ro, fi, fo, log) → ro.inodes?; (ss)% ⊦ ubifs-cons(fs, ri, ro, fi, fo, log) → fo.inodes?; (ss)%⊦ pre-rename-new-keep-parent (parent_inode, old_dent, old_child_inode, new_dent, fs, ri, ro) ↔ ( valid-negdentry(parent_inode.ino, new_dent, fs, ri, ro) ∧ valid-dentry(parent_inode.ino, old_dent, fs, ri, ro) ∧ valid-dir-inode(parent_inode, fs, ri) ∧ valid-wb-inode(old_child_inode, fs, ri) ∧ old_child_inode.ino = old_dent.ino) ∧ parent_inode.size ≥ 1 ∧ (old_child_inode.directory → parent_inode.nsubdirs ≥ 1); (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).ino = m; (s)%⊦ valid-negdentry(ino, dent, fs, ri, ro) ↔ dent.negdentry? ∧ valid-parent-ino(ino, fs, ri, ro) ∧ ¬ dentrykey(ino, dent.name) ∈ ri; (s)% ⊦ negdentry(str).negdentry?; (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-dir-ino(ino, fs, ri) ↔ inodekey(ino) ∈ ri ∧ fs[ri[inodekey(ino)]].directory; (s)%⊦ dentrykey(ino, str) ∈ ri ∧ ubifs-cons(fs, ri, ro, fi, fo, log) → fs[ri[inodekey(ino)]].directory; (ss)% ⊦ negdentry(str).name = str; (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)% ⊦ mkdentry(str, m).dentry?; (s)% ⊦ mkdentry(str, m).ino = m; (s)% ⊦ valid-ino(ino, fs, ri) ↔ inodekey(ino) ∈ ri; (s)% ⊦ mkdentry(str, m).name = str; (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)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).directory ↔ boolvar; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).nlink = m0; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).nsubdirs = m1; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).size = m2; (s)%⊦ valid-wb-inode(inode, fs, ri) ↔ valid-file-inode(inode, fs, ri) ∨ valid-dir-inode(inode, fs, ri); (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-file-ino(ino, fs, ri) ↔ inodekey(ino) ∈ ri ∧ ¬ fs[ri[inodekey(ino)]].directory; (s)% ⊦ n ≥ m ↔ m ≤ n; (s)