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Proof step 1 from proof replayone-prog (conclusion)

ri0 = ri, replay-safe(adr ', fs, ri) ⊦ ⟪aubifs_replayone#(adr, fi, ro, fo, fs, log, boolvar; err, ri)⟫ ((err = ESUCCESS ∨ ⌊err⌋ ) ∧ (err = ESUCCESS → ri = replay-one(adr, fs[adr], ri0)))

Heuristic nonrec nowhile calls applied rule call right

And obtained the following new goals

Proof step 2:
boolvar0 ↔ boolvar, ri0 = ri, replay-safe(adr ', fs, ri) ⊦ ⟪choose nd, boolvar with true in {aubifs_core_journal_get#(adr, ri, fi, ro, fo, fs, log, boolvar0; nd; err); if err = ESUCCESS then {if nd.inode? then if nd.nlink ≠ 0 ∨ nd.key.ino = ROOT_INO then aubifs_core_index_store#(nd.key, adr, fi, ro, fo, fs, log, boolvar0; ri) else {if ¬ nd.directory then aubifs_core_index_truncate#(nd.key, 0, fi, ro, fo, fs, log, boolvar0; ri); if err = ESUCCESS then aubifs_core_index_remove#(nd.key, fi, ro, fo, fs, log, boolvar0; ri)}; if nd.dentry? then if nd.ino ≠ 0 then aubifs_core_index_store#(nd.key, adr, fi, ro, fo, fs, log, boolvar0; ri) else aubifs_core_index_remove#(nd.key, fi, ro, fo, fs, log, boolvar0; ri); if nd.data? then {let key = inodekey(nd.key.ino) in aubifs_core_index_contains#(key, ri, fi, ro, fo, fs, log, boolvar0; boolvar; err); if err = ESUCCESS ∧ boolvar then aubifs_core_index_store#(nd.key, adr, fi, ro, fo, fs, log, boolvar0; ri)}; if nd.trunc? then aubifs_core_index_truncate#(nd.key, nd.size, fi, ro, fo, fs, log, boolvar0; ri)}}⟫ ((err = ESUCCESS ∨ ⌊err⌋ ) ∧ (err = ESUCCESS → ri = replay-one(adr, fs[adr], ri0)))

Rule argument

pos: right 1

Additional information

Used simplifier rules: replayone: ⊦ ;