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Proof step 19 from proof refine-rename-new-reparent (previous step)

boolvar0 ↔ boolvar1, boolvar ↔ boolvar2, dirs = abs-dirs(fs, ri), err = err0, files = abs-files(fs, ri), m = fs[ri[dentrykey(m3, str)]].ino, m10 = fs[ri[inodekey(m7)]].size, m4 = fs[ri[inodekey(m3)]].nlink, m5 = fs[ri[inodekey(m3)]].nsubdirs, m6 = fs[ri[inodekey(m3)]].size, m8 = fs[ri[inodekey(m7)]].nlink, m9 = fs[ri[inodekey(m7)]].nsubdirs, new_dent = negdentry(str0), new_parent_inode = mkinode(m7, md1, true, fs[ri[inodekey(m7)]].nlink, fs[ri[inodekey(m7)]].nsubdirs, fs[ri[inodekey(m7)]].size), old_child_inode = mkinode(m, md, boolvar1, m0, m1, m2), old_dent = mkdentry(str, fs[ri[dentrykey(m3, str)]].ino), old_parent_inode = mkinode(m3, md0, true, fs[ri[inodekey(m3)]].nlink, fs[ri[inodekey(m3)]].nsubdirs, fs[ri[inodekey(m3)]].size), ro = orphans(fs, ri), ro0 = orphans(fs, ri), fs[ri[inodekey(m3)]].directory, fs[ri[inodekey(m7)]].directory, orphans(fs, ri).inodes?, fo.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-inj(ri), ri-inj(fi), ubifs-cons(fs, ri, orphans(fs, ri), fi, fo, log), inodekey(m3) ∈ ri, inodekey(fs[ri[dentrykey(m3, str)]].ino) ∈ ri, dentrykey(m3, str) ∈ ri, inodekey(m7) ∈ ri, 1 ≤ fs[ri[inodekey(m3)]].size, boolvar1 → 1 ≤ fs[ri[inodekey(m3)]].nsubdirs, boolvar3 → boolvar2, fs[ri[inodekey(m3)]].nlink ≠ 0 ∨ m3 = ROOT_INO, fs[ri[inodekey(m7)]].nlink ≠ 0 ∨ m7 = ROOT_INO, links(m3, abs-dirs(fs, ri)) ≠ ∅ ∨ m3 = ROOT_INO, links(m7, abs-dirs(fs, ri)) ≠ ∅ ∨ m7 = ROOT_INO, ¬ fs[ri[inodekey(fs[ri[dentrykey(m3, str)]].ino)]].directory ∧ ¬ boolvar1 ∧ m0 = fs[ri[inodekey(fs[ri[dentrykey(m3, str)]].ino)]].nlink ∧ m1 = fs[ri[inodekey(fs[ri[dentrykey(m3, str)]].ino)]].nsubdirs ∨ fs[ri[inodekey(fs[ri[dentrykey(m3, str)]].ino)]].directory ∧ boolvar1 ∧ m0 = fs[ri[inodekey(fs[ri[dentrykey(m3, str)]].ino)]].nlink ∧ m1 = fs[ri[inodekey(fs[ri[dentrykey(m3, str)]].ino)]].nsubdirs ∧ m2 = fs[ri[inodekey(fs[ri[dentrykey(m3, str)]].ino)]].size, fs[ri[inodekey(fs[ri[dentrykey(m3, str)]].ino)]].directory ∧ m0 = fs[ri[inodekey(fs[ri[dentrykey(m3, str)]].ino)]].nlink ∧ m2 = fs[ri[inodekey(fs[ri[dentrykey(m3, str)]].ino)]].size ∧ m1 = fs[ri[inodekey(fs[ri[dentrykey(m3, str)]].ino)]].nsubdirs ∧ boolvar1 ∨ ¬ fs[ri[inodekey(fs[ri[dentrykey(m3, str)]].ino)]].directory ∧ m0 = fs[ri[inodekey(fs[ri[dentrykey(m3, str)]].ino)]].nlink ∧ m1 = 0 ∧ ¬ boolvar1 ⊦ [if pre-rename-new-reparent(old_parent_inode, old_dent, old_child_inode, new_parent_inode, new_dent, fs, ri, ro) ∧ (boolvar0 ↔ old_child_inode.directory) then choose key2, key1, key0, key, nd2, nd1, nd0, nd, adr2, adr1, adr0, adr with true in {key2 := dentrykey(old_parent_inode.ino, old_dent.name); nd2 := dentrynode(key2, 0); key1 := dentrykey(new_parent_inode.ino, new_dent.name); nd1 := dentrynode(key1, old_dent.ino); key0 := inodekey(old_parent_inode.ino); nd0 := inodenode (key0, old_parent_inode.meta, old_parent_inode.directory, old_parent_inode.nlink, old_parent_inode.nsubdirs - (boolvar0 ⊃ 1;0), old_parent_inode.size - 1); key := inodekey(new_parent_inode.ino); nd := inodenode (key, new_parent_inode.meta, new_parent_inode.directory, new_parent_inode.nlink, new_parent_inode.nsubdirs + (boolvar0 ⊃ 1;0), new_parent_inode.size + 1); aubifs_core_journal_add4#(nd2, nd1, nd0, nd, ri, fi, ro, fo; adr2, adr1, adr0, adr, fs, log; boolvar, err); if err = ESUCCESS then {aubifs_core_index_remove#(key2, fi, ro, fo, fs, log, boolvar; ri); aubifs_core_index_store#(key1, adr1, fi, ro, fo, fs, log, boolvar; ri); aubifs_core_index_store#(key0, adr0, fi, ro, fo, fs, log, boolvar; ri); aubifs_core_index_store#(key, adr, fi, ro, fo, fs, log, boolvar; ri); new_dent := mkdentry(new_dent.name, old_dent.ino); old_dent := negdentry(old_dent.name); old_parent_inode := mkinode(old_parent_inode.ino, nd0.meta, nd0.directory, nd0.nlink, nd0.nsubdirs, nd0.size); new_parent_inode := mkinode(new_parent_inode.ino, nd.meta, nd.directory, nd.nlink, nd.nsubdirs, nd.size)}} else abort] ( 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) → ⟨old_dent_inode0 := mkinode(m, md, boolvar1, m0, m1, m2); new_dent_inode0 := new_dent_inode; old_dent0 := mkdentry(str, m); old_dent1 := negdentry(str0); old_dent_inode := mkinode(m, md, boolvar1, m0, m1, m2); old_inode := mkinode(m3, md0, true, m4, m5, m6); new_inode := mkinode(m7, md1, true, m8, m9, m10); afs_rename#(; old_inode, new_inode, old_dent_inode, new_dent_inode, old_dent0, old_dent1, err0, dirs, files; boolvar3)⟩ ( dirs = abs-dirs(fs, ri) ∧ files = abs-files(fs, ri) ∧ orphans(abs-dirs(fs, ri), abs-files(fs, ri)) = abs-keys(ro0) ∧ (boolvar3 → boolvar) ∧ old_parent_inode = old_inode ∧ new_parent_inode = new_inode ∧ old_dent_inode0 = old_dent_inode ∧ new_dent_inode0 = new_dent_inode ∧ old_dent = old_dent0 ∧ new_dent = old_dent1 ∧ err = err0)), fs[ri[inodekey(m3)]].size = 0, m3 = m7, dentrykey(m7, str0) ∈ ri, fs[ri[inodekey(m7)]].nlink = 0 ∧ m7 ≠ ROOT_INO, fs[ri[inodekey(m3)]].nlink = 0 ∧ m3 ≠ ROOT_INO

Heuristic symbolic execution applied rule if positive right

And obtained the following new goals

Proof step 20:
boolvar ↔ boolvar2, boolvar0 ↔ boolvar1, dirs = abs-dirs(fs, ri), err = err0, files = abs-files(fs, ri), m = fs[ri[dentrykey(m3, str)]].ino, m10 = fs[ri[inodekey(m7)]].size, m4 = fs[ri[inodekey(m3)]].nlink, m5 = fs[ri[inodekey(m3)]].nsubdirs, m6 = fs[ri[inodekey(m3)]].size, m8 = fs[ri[inodekey(m7)]].nlink, m9 = fs[ri[inodekey(m7)]].nsubdirs, new_dent = negdentry(str0), new_parent_inode = mkinode(m7, md1, true, fs[ri[inodekey(m7)]].nlink, fs[ri[inodekey(m7)]].nsubdirs, fs[ri[inodekey(m7)]].size), old_child_inode = mkinode(m, md, boolvar1, m0, m1, m2), old_dent = mkdentry(str, fs[ri[dentrykey(m3, str)]].ino), old_parent_inode = mkinode(m3, md0, true, fs[ri[inodekey(m3)]].nlink, fs[ri[inodekey(m3)]].nsubdirs, fs[ri[inodekey(m3)]].size), ro = orphans(fs, ri), ro0 = orphans(fs, ri), fs[ri[inodekey(m7)]].directory, fs[ri[inodekey(m3)]].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)), 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), inodekey(m7) ∈ ri, dentrykey(m3, str) ∈ ri, inodekey(fs[ri[dentrykey(m3, str)]].ino) ∈ ri, inodekey(m3) ∈ ri, 1 ≤ fs[ri[inodekey(m3)]].size, boolvar3 → boolvar2, boolvar1 → 1 ≤ fs[ri[inodekey(m3)]].nsubdirs, fs[ri[inodekey(fs[ri[dentrykey(m3, str)]].ino)]].directory ∧ m0 = fs[ri[inodekey(fs[ri[dentrykey(m3, str)]].ino)]].nlink ∧ m2 = fs[ri[inodekey(fs[ri[dentrykey(m3, str)]].ino)]].size ∧ m1 = fs[ri[inodekey(fs[ri[dentrykey(m3, str)]].ino)]].nsubdirs ∧ boolvar1 ∨ ¬ fs[ri[inodekey(fs[ri[dentrykey(m3, str)]].ino)]].directory ∧ m0 = fs[ri[inodekey(fs[ri[dentrykey(m3, str)]].ino)]].nlink ∧ m1 = 0 ∧ ¬ boolvar1, ¬ fs[ri[inodekey(fs[ri[dentrykey(m3, str)]].ino)]].directory ∧ ¬ boolvar1 ∧ m0 = fs[ri[inodekey(fs[ri[dentrykey(m3, str)]].ino)]].nlink ∧ m1 = fs[ri[inodekey(fs[ri[dentrykey(m3, str)]].ino)]].nsubdirs ∨ fs[ri[inodekey(fs[ri[dentrykey(m3, str)]].ino)]].directory ∧ boolvar1 ∧ m0 = fs[ri[inodekey(fs[ri[dentrykey(m3, str)]].ino)]].nlink ∧ m1 = fs[ri[inodekey(fs[ri[dentrykey(m3, str)]].ino)]].nsubdirs ∧ m2 = fs[ri[inodekey(fs[ri[dentrykey(m3, str)]].ino)]].size, links(m7, abs-dirs(fs, ri)) ≠ ∅ ∨ m7 = ROOT_INO, links(m3, abs-dirs(fs, ri)) ≠ ∅ ∨ m3 = ROOT_INO, fs[ri[inodekey(m7)]].nlink ≠ 0 ∨ m7 = ROOT_INO, fs[ri[inodekey(m3)]].nlink ≠ 0 ∨ m3 = ROOT_INO ⊦ [choose key2, key1, key0, key, nd2, nd1, nd0, nd, adr2, adr1, adr0, adr with true in {key2 := dentrykey(old_parent_inode.ino, old_dent.name); nd2 := dentrynode(key2, 0); key1 := dentrykey(new_parent_inode.ino, new_dent.name); nd1 := dentrynode(key1, old_dent.ino); key0 := inodekey(old_parent_inode.ino); nd0 := inodenode (key0, old_parent_inode.meta, old_parent_inode.directory, old_parent_inode.nlink, old_parent_inode.nsubdirs - (boolvar0 ⊃ 1;0), old_parent_inode.size - 1); key := inodekey(new_parent_inode.ino); nd := inodenode (key, new_parent_inode.meta, new_parent_inode.directory, new_parent_inode.nlink, new_parent_inode.nsubdirs + (boolvar0 ⊃ 1;0), new_parent_inode.size + 1); aubifs_core_journal_add4#(nd2, nd1, nd0, nd, ri, fi, ro, fo; adr2, adr1, adr0, adr, fs, log; boolvar, err); if err = ESUCCESS then {aubifs_core_index_remove#(key2, fi, ro, fo, fs, log, boolvar; ri); aubifs_core_index_store#(key1, adr1, fi, ro, fo, fs, log, boolvar; ri); aubifs_core_index_store#(key0, adr0, fi, ro, fo, fs, log, boolvar; ri); aubifs_core_index_store#(key, adr, fi, ro, fo, fs, log, boolvar; ri); new_dent := mkdentry(new_dent.name, old_dent.ino); old_dent := negdentry(old_dent.name); old_parent_inode := mkinode(old_parent_inode.ino, nd0.meta, nd0.directory, nd0.nlink, nd0.nsubdirs, nd0.size); new_parent_inode := mkinode(new_parent_inode.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) → ⟨old_dent_inode0 := mkinode(m, md, boolvar1, m0, m1, m2); new_dent_inode0 := new_dent_inode; old_dent0 := mkdentry(str, m); old_dent1 := negdentry(str0); old_dent_inode := mkinode(m, md, boolvar1, m0, m1, m2); old_inode := mkinode(m3, md0, true, m4, m5, m6); new_inode := mkinode(m7, md1, true, m8, m9, m10); afs_rename#(; old_inode, new_inode, old_dent_inode, new_dent_inode, old_dent0, old_dent1, err0, dirs, files; boolvar3)⟩ ( dirs = abs-dirs(fs, ri) ∧ files = abs-files(fs, ri) ∧ orphans(abs-dirs(fs, ri), abs-files(fs, ri)) = abs-keys(ro0) ∧ (boolvar3 → boolvar) ∧ old_parent_inode = old_inode ∧ new_parent_inode = new_inode ∧ old_dent_inode0 = old_dent_inode ∧ new_dent_inode0 = new_dent_inode ∧ old_dent = old_dent0 ∧ new_dent = old_dent1 ∧ err = err0)), fs[ri[inodekey(m3)]].size = 0, m3 = m7, dentrykey(m7, str0) ∈ ri, fs[ri[inodekey(m3)]].nlink = 0 ∧ m3 ≠ ROOT_INO, fs[ri[inodekey(m7)]].nlink = 0 ∧ m7 ≠ ROOT_INO

Rule argument

pos: right 1

Additional information

Used simplifier rules: ⊦ pre-rename-new-reparent (old_parent_inode, old_dent, old_child_inode, new_parent_inode, new_dent, fs, ri, ro) ↔ ( valid-negdentry(new_parent_inode.ino, new_dent, fs, ri, ro) ∧ valid-dentry(old_parent_inode.ino, old_dent, fs, ri, ro) ∧ valid-dir-inode(new_parent_inode, fs, ri) ∧ valid-dir-inode(old_parent_inode, fs, ri) ∧ new_parent_inode.ino ≠ old_parent_inode.ino ∧ valid-wb-inode(old_child_inode, fs, ri) ∧ old_child_inode.ino = old_dent.ino) ∧ old_parent_inode.size ≥ 1 ∧ (old_child_inode.directory → old_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)%⊦ key ∈ orphans(fs, ri) ↔ key.inode? ∧ key ∈ ri ∧ fs[ri[key]].nlink = 0 ∧ key.ino ≠ ROOT_INO; (s)% ⊦ inodekey(m).inode?; (s)% ⊦ inodekey(m).ino = m; (s)% ⊦ 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)%⊦ dentrykey(ino, str) ∈ ri ∧ ubifs-cons(fs, ri, ro, fi, fo, log) → fs[ri[inodekey(ino)]].directory; (ss)% ⊦ 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)