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Proof step 8 from proof refine-writepage (previous step)

# buf = VFS_PAGE_SIZE, boolvar0 ↔ boolvar2, boolvar, dirs = abs-dirs(fs, ri), err = err0, files = abs-files(fs, ri), inode = mkinode(m, md, boolvar1, 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), inodekey(m) ∈ ri, asynced → boolvar2 ⊦ ⟪let ino = inode.ino in {key := datakey(ino, pageno); nd := datanode(key, buf); aubifs_core_journal_add1#(nd, ri, fi, ro, fo; adr, fs, log; boolvar0, err); if err = ESUCCESS then aubifs_core_index_store#(key, adr, fi, ro, fo, fs, log, boolvar0; ri) else if ¬ boolvar then aubifs_core_index_remove#(key, fi, ro, fo, fs, log, boolvar0; ri)}⟫ ⟨afs_writepage#(mkinode(m, md, boolvar1, m0, m1, m2), pageno, buf, dirs; err0, 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 → boolvar0) ∧ err = err0), fs[ri[inodekey(m)]].directory

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
# buf = VFS_PAGE_SIZE, 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(m) ∈ ri, ¬ fs[ri[inodekey(m)]].directory, asynced → boolvar2 ⊦ ⟪let ino = m in {key := datakey(ino, pageno); nd := datanode(key, buf); fs0 := fs; fs1 := fs; fs2 := fs; fs3 := fs; aubifs_core_journal_add1#(nd, ri, fi, orphans(fs, ri), fo; adr, fs, log; boolvar2, err); ro0 := orphans(fs0, ri); files := abs-files(fs2, ri); dirs := abs-dirs(fs3, ri); if err = ESUCCESS then aubifs_core_index_store#(key, adr, fi, orphans(fs1, ri), fo, fs, log, boolvar2; ri)}⟫ ⟨afs_writepage#(mkinode(m, md, boolvar1, m0, m1, m2), pageno, buf, dirs; err0, 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 → boolvar2) ∧ err = err0)

Rule argument

Additional information

Used simplifier rules: ⊦ mkinode(m, md, boolvar, m0, m1, m2).ino = m; (s)