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Proof step 5 from proof refine-write-inode (previous step)

dirs = abs-dirs(fs, ri), err = err0, files = abs-files(fs, ri), ro = orphans(fs, ri), 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), asynced → boolvar, inodekey(m) ∈ ri ∧ fs[ri[inodekey(m)]].directory ∧ m0 = fs[ri[inodekey(m)]].nlink ∧ m2 = fs[ri[inodekey(m)]].size ∧ m1 = fs[ri[inodekey(m)]].nsubdirs ∧ boolvar0 ∨ inodekey(m) ∈ ri ∧ ¬ fs[ri[inodekey(m)]].directory ∧ m0 = fs[ri[inodekey(m)]].nlink ∧ m1 = 0 ∧ ¬ boolvar0 ⊦ ⟪aubifs_write_inode#(mkinode(m, md, boolvar0, m0, m1, m2), fi, orphans(fs, ri), fo; err, ri, fs, log, boolvar)⟫ ⟨afs_write_inode#(mkinode(m, md, boolvar0, m0, m1, m2); 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) ∧ err = err0)

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 6:
dirs = abs-dirs(fs, ri), err = err0, files = abs-files(fs, ri), inode = mkinode(m, md, boolvar0, m0, m1, m2), ro = orphans(fs, ri), ro0 = orphans(fs, ri), 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), asynced → boolvar, inodekey(m) ∈ ri ∧ fs[ri[inodekey(m)]].directory ∧ m0 = fs[ri[inodekey(m)]].nlink ∧ m2 = fs[ri[inodekey(m)]].size ∧ m1 = fs[ri[inodekey(m)]].nsubdirs ∧ boolvar0 ∨ inodekey(m) ∈ ri ∧ ¬ fs[ri[inodekey(m)]].directory ∧ m0 = fs[ri[inodekey(m)]].nlink ∧ m1 = 0 ∧ ¬ boolvar0 ⊦ ⟪if pre-write-inode(inode, fs, ri, ro) then choose key, nd, adr with true in {key := inodekey(inode.ino); nd := inodenode(key, inode.meta, inode.directory, inode.nlink, inode.nsubdirs, inode.size); aubifs_core_journal_add1#(nd, ri, fi, ro, fo; adr, fs, log; boolvar, err); if err = ESUCCESS then aubifs_core_index_store#(key, adr, fi, ro, fo, fs, log, boolvar; ri)} else abort⟫ ⟨afs_write_inode#(mkinode(m, md, boolvar0, m0, m1, m2); 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) ∧ err = err0)

Rule argument

pos: right 1

Additional information

Used simplifier rules: aubifs_write_inode#(INODE, FI, RO, FO; ERR, RI, FS, LOG, CSYNCED) {if pre-write-inode(INODE, FS, RI, RO) then choose KEY, ND, ADR with true in {KEY := inodekey(INODE.ino); ND := inodenode (KEY, INODE.meta, INODE.directory, INODE.nlink, INODE.nsubdirs, INODE.size); aubifs_core_journal_add1# (ND, RI, FI, RO, FO; ADR, FS, LOG; CSYNCED, ERR); if ERR = ESUCCESS then aubifs_core_index_store# (KEY, ADR, FI, RO, FO, FS, LOG, CSYNCED; RI)} else abort };