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Proof step 8 from proof inv-mkdir (previous step)

p_inode.nlink = fs[ri[inodekey(p_inode.ino)]].nlink, p_inode.nsubdirs = fs[ri[inodekey(p_inode.ino)]].nsubdirs, p_inode.size = fs[ri[inodekey(p_inode.ino)]].size, dent = negdentry(str), p_inode.directory, fs[ri[inodekey(p_inode.ino)]].directory, fo.inodes?, ro.inodes?, file-node-cons(fs, ri), log-cons(log, fs), orphans-cons(fs, ri, ro), pre-mkdir(p_inode, dent, md, fs, ri, ro), replay-cons-strong(fs, ri, ro, fi, fo, log), ri-inj(fi), ri-inj(ri), ubifs-cons(fs, ri, ro, fi, fo, log), inodekey(p_inode.ino) ∈ ri, p_inode.nlink ≠ 0 ∨ p_inode.ino = ROOT_INO ⊦ ⟪key1 := inodekey(p_inode.ino); key0 := dentrykey(p_inode.ino, dent.name); aubifs_core_index_newino#(ri, fi, ro, fo, fs, log, boolvar; key); nd1 := inodenode(key1, p_inode.meta, p_inode.directory, p_inode.nlink, p_inode.nsubdirs + 1, p_inode.size + 1); nd0 := dentrynode(key0, key.ino); nd := inodenode(key, md, true, 1, 0, 0); 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); dent := mkdentry(dent.name, key.ino); p_inode := mkinode(p_inode.ino, nd1.meta, nd1.directory, nd1.nlink, nd1.nsubdirs, nd1.size); c_inode := mkinode(key.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)), inodekey(p_inode.ino) ∈ ro, dentrykey(p_inode.ino, str) ∈ ri

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
p_inode.nlink = fs[ri[inodekey(p_inode.ino)]].nlink, p_inode.nsubdirs = fs[ri[inodekey(p_inode.ino)]].nsubdirs, p_inode.size = fs[ri[inodekey(p_inode.ino)]].size, p_inode.directory, fs[ri[inodekey(p_inode.ino)]].directory, fo.inodes?, ro.inodes?, file-node-cons(fs, ri), log-cons(log, fs), orphans-cons(fs, ri, ro), replay-cons-strong(fs, ri, ro, fi, fo, log), ri-inj(fi), ri-inj(ri), ubifs-cons(fs, ri, ro, fi, fo, log), inodekey(p_inode.ino) ∈ ri, ¬ inodekey(p_inode.ino) ∈ ro, ¬ dentrykey(p_inode.ino, str) ∈ ri, p_inode.nlink ≠ 0 ∨ p_inode.ino = ROOT_INO ⊦ ⟪key1 := inodekey(p_inode.ino); key0 := dentrykey(p_inode.ino, str); aubifs_core_index_newino#(ri, fi, ro, fo, fs, log, boolvar; key); nd1 := inodenode(key1, p_inode.meta, p_inode.directory, p_inode.nlink, p_inode.nsubdirs + 1, p_inode.size + 1); nd0 := dentrynode(key0, key.ino); nd := inodenode(key, md, true, 1, 0, 0); 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); dent := mkdentry(str, key.ino); p_inode := mkinode(p_inode.ino, nd1.meta, nd1.directory, nd1.nlink, nd1.nsubdirs, nd1.size); c_inode := mkinode(key.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))

Rule argument

Additional information

Used simplifier rules: ⊦ 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)% ⊦ negdentry(str).name = str; (s)%⊦ valid-dir-ino(ino, fs, ri) ↔ inodekey(ino) ∈ ri ∧ fs[ri[inodekey(ino)]].directory; (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)% ⊦ negdentry(str).negdentry?; (s)%⊦ valid-negdentry(ino, dent, fs, ri, ro) ↔ dent.negdentry? ∧ valid-parent-ino(ino, fs, ri, ro) ∧ ¬ dentrykey(ino, dent.name) ∈ ri; (s)%⊦ pre-mkdir(p_inode, dent, md, fs, ri, ro) ↔ valid-negdentry(p_inode.ino, dent, fs, ri, ro) ∧ valid-dir-inode(p_inode, fs, ri); (ws)