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Proof step 458 from proof refine-rmdir (previous step)

1 = fs[ri[inodekey(fs[ri[dentrykey(m, str)]].ino)]].nlink, abs-children(fs[ri[dentrykey(m, str)]].ino, fs, ri) = ∅, c_inode = mkinode (fs[ri[dentrykey(m, str)]].ino, md0, true, 1, fs[ri[inodekey(fs[ri[dentrykey(m, str)]].ino)]].nsubdirs, fs[ri[inodekey(fs[ri[dentrykey(m, str)]].ino)]].size), dentrykeys(inodekey(fs[ri[dentrykey(m, str)]].ino), ri) = ∅, err = err0, ino = fs[ri[dentrykey(m, str)]].ino, links(fs[ri[dentrykey(m, str)]].ino, fs, ri) = ∅ ++ dentrykey(m, str), m0 = fs[ri[inodekey(m)]].nlink, m1 = fs[ri[inodekey(m)]].nsubdirs, m2 = fs[ri[inodekey(m)]].size, m3 = fs[ri[dentrykey(m, str)]].ino, m5 = fs[ri[inodekey(fs[ri[dentrykey(m, str)]].ino)]].nsubdirs, m6 = fs[ri[inodekey(fs[ri[dentrykey(m, str)]].ino)]].size, nd = inodenode (inodekey(fs[ri[dentrykey(m, str)]].ino), md0, true, 0, fs[ri[inodekey(fs[ri[dentrykey(m, str)]].ino)]].nsubdirs, fs[ri[inodekey(fs[ri[dentrykey(m, str)]].ino)]].size), nd1 = inodenode(inodekey(m), md, true, fs[ri[inodekey(m)]].nlink, fs[ri[inodekey(m)]].nsubdirs - 1, fs[ri[inodekey(m)]].size - 1), p_inode = mkinode(m, md, true, fs[ri[inodekey(m)]].nlink, fs[ri[inodekey(m)]].nsubdirs, fs[ri[inodekey(m)]].size), ro0 = orphans(fs, ri), fs[ri[dentrykey(m, str)]].dentry?, fs[ri[inodekey(m)]].directory, fs[ri[inodekey(fs[ri[dentrykey(m, str)]].ino)]].directory, fs[ri[inodekey(fs[ri[dentrykey(m, str)]].ino)]].inode?, fs[ri[inodekey(m)]].inode?, fo.inodes?, orphans(fs, ri).inodes?, afs-cons(abs-dirs(fs, ri), abs-files(fs, ri)), file-node-cons(fs, ri), log-cons(log, fs), orphans-cons(fs, ri, orphans(fs, ri)), replay-cons-strong(fs, ri, orphans(fs, ri), fi, fo, log), ri-cons(ri, fs), ri-inj(fi), ri-inj(ri), ubifs-cons(fs, ri, orphans(fs, ri), fi, fo, log), dentrykey(m, str) ∈ ri, ri[dentrykey(m, str)] ∈ fs, ri[inodekey(fs[ri[dentrykey(m, str)]].ino)] ∈ fs, inodekey(fs[ri[dentrykey(m, str)]].ino) ∈ ri, ri[inodekey(m)] ∈ fs, inodekey(m) ∈ ri, 1 ≤ fs[ri[inodekey(m)]].size, 1 ≤ fs[ri[inodekey(m)]].nsubdirs, fs[ri[inodekey(m)]].size ≥ 1, fs[ri[inodekey(m)]].nsubdirs ≥ 1, ⌊err0⌋ , asynced → boolvar0, fs[ri[inodekey(fs[ri[dentrykey(m, str)]].ino)]].trunc? ∨ fs[ri[inodekey(fs[ri[dentrykey(m, str)]].ino)]].inode?, fs[ri[inodekey(m)]].nlink ≠ 0 ∨ m = ROOT_INO, links(m, abs-dirs(fs, ri)) ≠ ∅ ∨ m = ROOT_INO, fs[ri[inodekey(m)]].trunc? ∨ fs[ri[inodekey(m)]].inode? ⊦ [files := abs-files(fs, ri); dirs := abs-dirs(fs, ri); dent := mkdentry(str, fs[ri[dentrykey(m, str)]].ino); if err = ESUCCESS then {aubifs_core_index_store#(inodekey(m), adr4, fi, ro0, fo, fs, log, boolvar; ri); aubifs_core_index_remove#(dentrykey(m, dent.name), fi, ro0, fo, fs, log, boolvar; ri); aubifs_core_index_store#(inodekey(m3), adr, fi, ro0, fo, fs, log, boolvar; ri); aubifs_core_orphans_insert#(inodekey(m3), ri, fi, fo, fs, log, boolvar; ro0); dent := negdentry(dent.name); p_inode := mkinode(p_inode.ino, nd1.meta, nd1.directory, nd1.nlink, nd1.nsubdirs, nd1.size); c_inode := mkinode(ino, nd.meta, nd.directory, nd.nlink, nd.nsubdirs, nd.size)}] ( ubifs-cons(fs, ri, ro0, fi, fo, log) ∧ replay-cons-strong(fs, ri, ro0, fi, fo, log) ∧ file-node-cons(fs, ri) ∧ orphans-cons(fs, ri, ro0) ∧ ri-inj(ri) ∧ ro0.inodes? → ⟨old_dent := mkdentry(str, m3); p_inode0 := mkinode(m, md, true, m0, m1, m2); p_inode1 := mkinode(m3, md0, true, 1, m5, m6); afs_rmdir#(; p_inode0, p_inode1, old_dent, err1, dirs, files; asynced)⟩ ( dirs = abs-dirs(fs, ri) ∧ files = abs-files(fs, ri) ∧ orphans(abs-dirs(fs, ri), abs-files(fs, ri)) = abs-keys(ro0) ∧ (asynced → boolvar) ∧ p_inode = p_inode0 ∧ c_inode = p_inode1 ∧ dent = old_dent ∧ err = err1)), fs[ri[dentrykey(m, str)]].ino = ROOT_INO, fs[ri[dentrykey(m, str)]].ino = 0, fs[ri[inodekey(m)]].nsubdirs = 0, fs[ri[inodekey(m)]].size = 0, m = 0, fs[ri[inodekey(m)]].nlink = 0 ∧ m ≠ ROOT_INO

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Rule argument

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