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Proof step 30 from proof refine-writepage (previous step)

# buf = VFS_PAGE_SIZE, dirs = abs-dirs(fs1, ri), files = abs-files(fs1, ri), ro0 = orphans(fs1, ri), orphans(fs1, ri).inodes?, fo.inodes?, afs-cons(abs-dirs(fs1, ri), abs-files(fs1, ri)), file-node-cons(fs1, ri), log-cons(log0, fs1), orphans-cons(fs1, ri, orphans(fs1, ri)), replay-cons-strong(fs1, ri, orphans(fs1, ri), fi, fo, log0), ri-inj(ri), ri-inj(fi), ubifs-cons(fs1, ri, orphans(fs1, ri), fi, fo, log0), inodekey(m) ∈ ri, ¬ fs1[ri[inodekey(m)]].directory, ¬ adr1 ∈ fs1, asynced → boolvar0 ⊦ ⟪aubifs_core_index_store# (datakey(m, pageno), adr1, fi, orphans(fs1, ri), fo, fs1[adr1, datanode(datakey(m, pageno), buf)], log0 + adr1 ', boolvar2; ri)⟫ ⟨afs_writepage#(mkinode(m, md, boolvar1, m0, m1, m2), pageno, buf, dirs; err0, files; asynced)⟩ ( dirs = abs-dirs(fs1[adr1, datanode(datakey(m, pageno), buf)], ri) ∧ files = abs-files(fs1[adr1, datanode(datakey(m, pageno), buf)], ri) ∧ orphans(abs-dirs(fs1[adr1, datanode(datakey(m, pageno), buf)], ri), abs-files(fs1[adr1, datanode(datakey(m, pageno), buf)], ri)) = abs-keys(ro0) ∧ (asynced → boolvar2) ∧ ESUCCESS = err0)

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 31:
# buf = VFS_PAGE_SIZE, boolvar ↔ boolvar2, adr = adr1, dirs = abs-dirs(fs1, ri), files = abs-files(fs1, ri), fs = fs1[adr1, datanode(datakey(m, pageno), buf)], key = datakey(m, pageno), log = log0 + adr1 ', ro = orphans(fs1, ri), ro0 = orphans(fs1, ri), fo.inodes?, orphans(fs1, ri).inodes?, afs-cons(abs-dirs(fs1, ri), abs-files(fs1, ri)), file-node-cons(fs1, ri), log-cons(log0, fs1), orphans-cons(fs1, ri, orphans(fs1, ri)), replay-cons-strong(fs1, ri, orphans(fs1, ri), fi, fo, log0), ri-inj(fi), ri-inj(ri), ubifs-cons(fs1, ri, orphans(fs1, ri), fi, fo, log0), inodekey(m) ∈ ri, asynced → boolvar0 ⊦ ⟪if ¬ adr ∈ ri ∧ adr ∈ fs ∧ key-cons(key, fs[adr]) then ri[key] := adr else abort⟫ ⟨afs_writepage#(mkinode(m, md, boolvar1, m0, m1, m2), pageno, buf, dirs; err0, files; asynced)⟩ ( dirs = abs-dirs(fs1[adr1, datanode(datakey(m, pageno), buf)], ri) ∧ files = abs-files(fs1[adr1, datanode(datakey(m, pageno), buf)], ri) ∧ orphans(abs-dirs(fs1[adr1, datanode(datakey(m, pageno), buf)], ri), abs-files(fs1[adr1, datanode(datakey(m, pageno), buf)], ri)) = abs-keys(ro0) ∧ (asynced → boolvar2) ∧ ESUCCESS = err0), fs1[ri[inodekey(m)]].directory, adr1 ∈ fs1

Rule argument

pos: right 1

Additional information

Used simplifier rules: aubifs_core_index_store#(KEY, ADR, FI, RO, FO, FS, LOG, CSYNCED; RI) {if ¬ ADR ∈ RI ∧ ADR ∈ FS ∧ key-cons(KEY, FS[ADR]) then RI[KEY] := ADR else abort };