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Proof step 22 from proof inv-writepage (previous step)

# buf = VFS_PAGE_SIZE, fo.inodes?, ro.inodes?, file-node-cons(fs0, ri), log-cons(log0, fs0), orphans-cons(fs0, ri, ro), replay-cons-strong(fs0, ri, ro, fi, fo, log0), ri-inj(fi), ri-inj(ri), ubifs-cons(fs0, ri, ro, fi, fo, log0), inodekey(m) ∈ ri, ¬ fs0[ri[inodekey(m)]].directory, ¬ adr1 ∈ fs0 ⊦ ⟪aubifs_core_index_store#(datakey(m, pageno), adr1, fi, ro, fo, fs0[adr1, datanode(datakey(m, pageno), buf)], log0 + adr1 ', boolvar; ri)⟫ ( ubifs-cons(fs0[adr1, datanode(datakey(m, pageno), buf)], ri, ro, fi, fo, log0 + adr1 ') ∧ replay-cons-strong(fs0[adr1, datanode(datakey(m, pageno), buf)], ri, ro, fi, fo, log0 + adr1 ') ∧ file-node-cons(fs0[adr1, datanode(datakey(m, pageno), buf)], ri) ∧ orphans-cons(fs0[adr1, datanode(datakey(m, pageno), buf)], ri, ro))

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 23:
# buf = VFS_PAGE_SIZE, adr = adr1, fs = fs0[adr1, datanode(datakey(m, pageno), buf)], key = datakey(m, pageno), log = log0 + adr1 ', ro.inodes?, fo.inodes?, file-node-cons(fs0, ri), log-cons(log0, fs0), orphans-cons(fs0, ri, ro), replay-cons-strong(fs0, ri, ro, fi, fo, log0), ri-inj(ri), ri-inj(fi), ubifs-cons(fs0, ri, ro, fi, fo, log0), inodekey(m) ∈ ri ⊦ ⟪if ¬ adr ∈ ri ∧ adr ∈ fs ∧ key-cons(key, fs[adr]) then ri[key] := adr else abort⟫ ( ubifs-cons(fs0[adr1, datanode(datakey(m, pageno), buf)], ri, ro, fi, fo, log0 + adr1 ') ∧ replay-cons-strong(fs0[adr1, datanode(datakey(m, pageno), buf)], ri, ro, fi, fo, log0 + adr1 ') ∧ file-node-cons(fs0[adr1, datanode(datakey(m, pageno), buf)], ri) ∧ orphans-cons(fs0[adr1, datanode(datakey(m, pageno), buf)], ri, ro)), fs0[ri[inodekey(m)]].directory, adr1 ∈ fs0

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 };