Proof step 34 from proof refine-link (previous step)

Heuristic unfold applied rule call right

And obtained the following new goals

• Proof step 35:

  p_inode1.ino = fs[ri[dentrykey(ino0, str)]].ino, fs[ri[dentrykey(ino, str)]].ino = p_inode1.ino, p_inode1.nlink = fs[ri[inodekey(p_inode1.ino)]].nlink, p_inode0.nlink = fs[ri[inodekey(p_inode0.ino)]].nlink, p_inode1.nsubdirs = 0, p_inode0.nsubdirs = fs[ri[inodekey(p_inode0.ino)]].nsubdirs, p_inode0.size = fs[ri[inodekey(p_inode0.ino)]].size, 0 = fs[ri[inodekey(p_inode1.ino)]].nsubdirs, c_inode = p_inode1, dirs = abs-dirs(fs, ri), err = err0, files = abs-files(fs, ri), new_dent = negdentry(str0), old_dent = mkdentry(str, p_inode1.ino), p_inode = p_inode0, ro = orphans(fs, ri), ro0 = orphans(fs, ri), fs[ri[inodekey(ino0)]].directory, p_inode0.directory, fs[ri[inodekey(p_inode0.ino)]].directory, fs[ri[inodekey(ino)]].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), dentrykey(ino0, str) ∈ ri, inodekey(ino0) ∈ ri, inodekey(p_inode0.ino) ∈ ri, dentrykey(ino, str) ∈ ri, inodekey(p_inode1.ino) ∈ ri, inodekey(ino) ∈ ri, asynced → boolvar, links(p_inode1.ino, abs-dirs(fs, ri)) ≠ ∅ ∨ p_inode1.ino = ROOT_INO, links(p_inode0.ino, abs-dirs(fs, ri)) ≠ ∅ ∨ p_inode0.ino = ROOT_INO, links(ino0, abs-dirs(fs, ri)) ≠ ∅ ∨ ino0 = ROOT_INO, p_inode0.nlink ≠ 0 ∨ p_inode0.ino = ROOT_INO, fs[ri[inodekey(ino)]].nlink ≠ 0 ∨ ino = ROOT_INO ⊦ [if pre-link(p_inode, c_inode, old_dent, new_dent, fs, ri, ro) then 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, new_dent.name); key := inodekey(ino); nd1 := inodenode(key1, p_inode.meta, p_inode.directory, p_inode.nlink, p_inode.nsubdirs, p_inode.size + 1); nd0 := dentrynode(key0, ino); 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_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, ino); 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)}} 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_dent0 := negdentry(str0); afs_link#(mkdentry(str, p_inode1.ino); p_inode0, p_inode1, old_dent0, 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 ∧ new_dent = old_dent0 ∧ err = err0)), p_inode1.directory, fs[ri[inodekey(p_inode1.ino)]].directory, dentrykey(p_inode0.ino, str0) ∈ ri, fs[ri[inodekey(ino)]].nlink = 0 ∧ ino ≠ ROOT_INO, p_inode0.nlink = 0 ∧ p_inode0.ino ≠ ROOT_INO, p_inode1.nlink = 0 ∧ p_inode1.ino ≠ ROOT_INO

Rule argument

Additional information

Used simplifier rules: aubifs_link# (OLD_DENT, FI, RO, FO ; P_INODE, C_INODE, NEW_DENT, ERR, RI, FS, LOG, CSYNCED ) {if pre-link(P_INODE, C_INODE, OLD_DENT, NEW_DENT, FS, RI, RO) then choose INO, ADR1, ADR2, ADR3, KEY1, KEY2, KEY3, ND1, ND2, ND3 with INO = C_INODE.ino in {KEY1 := inodekey(P_INODE.ino); KEY2 := dentrykey(P_INODE.ino, NEW_DENT.name); KEY3 := inodekey(INO); ND1 := inodenode (KEY1, P_INODE.meta, P_INODE.directory, P_INODE.nlink, P_INODE.nsubdirs, P_INODE.size + 1); ND2 := dentrynode(KEY2, INO); ND3 := inodenode (KEY3, C_INODE.meta, C_INODE.directory, C_INODE.nlink + 1, C_INODE.nsubdirs, C_INODE.size); aubifs_core_journal_add3# (ND1, ND2, ND3, RI, FI, RO, FO ; ADR1, ADR2, ADR3, FS, LOG ; CSYNCED, ERR); if ERR = ESUCCESS then {aubifs_core_index_store# (KEY1, ADR1, FI, RO, FO, FS, LOG, CSYNCED; RI); aubifs_core_index_store# (KEY2, ADR2, FI, RO, FO, FS, LOG, CSYNCED; RI); aubifs_core_index_store# (KEY3, ADR3, FI, RO, FO, FS, LOG, CSYNCED; RI); NEW_DENT := mkdentry(NEW_DENT.name, INO); P_INODE := mkinode (P_INODE.ino, ND1.meta, ND1.directory, ND1.nlink, ND1.nsubdirs, ND1.size); C_INODE := mkinode (INO, ND3.meta, ND3.directory, ND3.nlink, ND3.nsubdirs, ND3.size)}} else abort };