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Proof step 83 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), dent = mkdentry(str, fs[ri[dentrykey(m, str)]].ino), dentrykeys(inodekey(fs[ri[dentrykey(m, str)]].ino), ri) = ∅, dirs = abs-dirs(fs, ri), err = err0, files = abs-files(fs, ri), 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, p_inode = mkinode(m, md, true, fs[ri[inodekey(m)]].nlink, fs[ri[inodekey(m)]].nsubdirs, fs[ri[inodekey(m)]].size), ro = orphans(fs, ri), fs[ri[inodekey(m)]].directory, fs[ri[inodekey(fs[ri[dentrykey(m, str)]].ino)]].directory, 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)), pre-rmdir(p_inode, c_inode, dent, fs, ri, ro), replay-cons-strong(fs, ri, orphans(fs, ri), fi, fo, log), ri-inj(fi), ri-inj(ri), ubifs-cons(fs, ri, orphans(fs, ri), fi, fo, log), dentrykey(m, str) ∈ ri, inodekey(fs[ri[dentrykey(m, str)]].ino) ∈ ri, inodekey(m) ∈ ri, 1 ≤ fs[ri[inodekey(m)]].nsubdirs, 1 ≤ fs[ri[inodekey(m)]].size, asynced → boolvar, fs[ri[inodekey(m)]].nlink ≠ 0 ∨ m = ROOT_INO, links(m, abs-dirs(fs, ri)) ≠ ∅ ∨ m = ROOT_INO ⊦ [choose ino, adr1, adr0, adr, key1, key0, key, nd1, nd0, nd with ino = c_inode.ino in {key1 := inodekey(p_inode.ino); key0 := dentrykey(p_inode.ino, dent.name); key := inodekey(c_inode.ino); nd1 := inodenode(key1, p_inode.meta, p_inode.directory, p_inode.nlink, p_inode.nsubdirs - 1, p_inode.size - 1); nd0 := dentrynode(key0, 0); nd := inodenode(key, c_inode.meta, c_inode.directory, c_inode.nlink - 1, c_inode.nsubdirs, c_inode.size); aubifs_core_journal_add3#(nd1, nd0, nd, ri, fi, ro, fo; adr1, adr0, adr, fs, log; boolvar, err); if err = ESUCCESS then {aubifs_core_index_store#(key1, adr1, fi, ro, fo, fs, log, boolvar; ri); aubifs_core_index_remove#(key0, fi, ro, fo, fs, log, boolvar; ri); aubifs_core_index_store#(key, adr, fi, ro, fo, fs, log, boolvar; ri); aubifs_core_orphans_insert#(key, ri, fi, fo, fs, log, boolvar; ro); 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, 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) ∧ ro.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, err0, dirs, files; asynced)⟩ ( dirs = abs-dirs(fs, ri) ∧ files = abs-files(fs, ri) ∧ orphans(abs-dirs(fs, ri), abs-files(fs, ri)) = abs-keys(ro) ∧ (asynced → boolvar) ∧ p_inode = p_inode0 ∧ c_inode = p_inode1 ∧ dent = old_dent ∧ err = err0)), fs[ri[dentrykey(m, str)]].ino = ROOT_INO, fs[ri[inodekey(m)]].nsubdirs = 0, fs[ri[inodekey(m)]].size = 0, fs[ri[inodekey(m)]].nlink = 0 ∧ m ≠ ROOT_INO

Heuristic symbolic execution applied rule choose right

And obtained the following new goals

Rule argument

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