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Proof step 21 from proof inv-writepage (previous step)

# buf = VFS_PAGE_SIZE, err = ESUCCESS, fs = fs0[adr1, nd], log = log0 + adr1, nd = datanode(datakey(m, pageno), buf), ro.inodes?, fo.inodes?, file-node-cons(fs0, ri), log-cons(log0, fs0), new(adr1 ', 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 ⊦ ⟪aubifs_core_index_store#(datakey(m, pageno), adr1, fi, ro, fo, fs, log, boolvar; ri)⟫ (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)), fs0[ri[inodekey(m)]].directory, dups(adr1 ')

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 22:
# 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))

Rule argument

Additional information

Used simplifier rules: ⊦ ax + adr = ax + adr '; (s)% ⊦ ¬ dups(adr '); (s)% ⊦ new(adr ', fs) ↔ ¬ adr ∈ fs; (s)