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Proof step 101 from proof refine-rmdir (previous step)

1 = fs0[ri[inodekey(fs0[ri[dentrykey(m, str)]].ino)]].nlink, abs-children(fs0[ri[dentrykey(m, str)]].ino, fs0, ri) = ∅, adr4 = adr5, dent = mkdentry(str, fs0[ri[dentrykey(m, str)]].ino), dentrykeys(inodekey(fs0[ri[dentrykey(m, str)]].ino), ri) = ∅, dirs = abs-dirs(fs0, ri), err = ESUCCESS, files = abs-files(fs0, ri), fs = fs0[adr1, nd1][adr2, nd0][adr3, nd], links(fs0[ri[dentrykey(m, str)]].ino, fs0, ri) = ∅ ++ dentrykey(m, str), log = ((log0 + adr1) + adr2) + adr3, m0 = fs0[ri[inodekey(m)]].nlink, m1 = fs0[ri[inodekey(m)]].nsubdirs, m2 = fs0[ri[inodekey(m)]].size, m3 = fs0[ri[dentrykey(m, str)]].ino, m5 = fs0[ri[inodekey(fs0[ri[dentrykey(m, str)]].ino)]].nsubdirs, m6 = fs0[ri[inodekey(fs0[ri[dentrykey(m, str)]].ino)]].size, nd = inodenode(inodekey(m3), md0, true, 0, m5, m6), nd0 = dentrynode(dentrykey(m, dent.name), 0), nd1 = inodenode(inodekey(m), md, true, m0, m1 - 1, m2 - 1), ro = orphans(fs0, ri), ro0 = orphans(fs0, ri), fs0[ri[inodekey(fs0[ri[dentrykey(m, str)]].ino)]].directory, fs0[ri[inodekey(m)]].directory, orphans(fs0, ri).inodes?, fo.inodes?, afs-cons(abs-dirs(fs0, ri), abs-files(fs0, ri)), file-node-cons(fs0, ri), log-cons(log0, fs0), new(adr1 ' + (adr2 ' + adr3), fs0), node-cons(nd1.key, nd1), node-cons(nd0.key, nd0), node-cons(nd.key, nd), orphans-cons(fs0, ri, orphans(fs0, ri)), replay-cons-strong(fs0, ri, orphans(fs0, ri), fi, fo, log0), ri-cons(ri, fs0), ri-inj(ri), ri-inj(fi), ubifs-cons(fs0, ri, orphans(fs0, ri), fi, fo, log0), inodekey(m) ∈ ri, inodekey(fs0[ri[dentrykey(m, str)]].ino) ∈ ri, dentrykey(m, str) ∈ ri, 1 ≤ fs0[ri[inodekey(m)]].nsubdirs, 1 ≤ fs0[ri[inodekey(m)]].size, m2 ≥ 1, m1 ≥ 1, asynced → boolvar, links(m, abs-dirs(fs0, ri)) ≠ ∅ ∨ m = ROOT_INO, fs0[ri[inodekey(m)]].nlink ≠ 0 ∨ m = ROOT_INO ⊦ [boolvar := ?; nd1 := inodenode(inodekey(m), md, true, m0, m1 - 1, m2 - 1); nd := inodenode(inodekey(m3), md0, true, 0, m5, m6); ino := m3; p_inode := mkinode(m, md, true, m0, m1, m2); c_inode := mkinode(m3, md0, true, 1, m5, m6); if err = ESUCCESS then {aubifs_core_index_store#(inodekey(m), adr1, 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), adr3, 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) ∧ log-cons(log, fs) ∧ 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, 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(ro0) ∧ (asynced → boolvar) ∧ p_inode = p_inode0 ∧ c_inode = p_inode1 ∧ dent = old_dent ∧ err = err0)), fs0[ri[dentrykey(m, str)]].ino = ROOT_INO, fs0[ri[inodekey(m)]].nsubdirs = 0, fs0[ri[inodekey(m)]].size = 0, dups(adr1 ' + adr2 ' + adr3 '), fs0[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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