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

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, ¬ fs[ri[inodekey(m)]].directory, asynced → boolvar1 ⊦ ⟨afs_fsync#(mkinode(m, md, false, fs[ri[inodekey(m)]].nlink, 0, m2), boolvar0, abs-dirs(fs, ri), abs-files(fs, ri); ; asynced, err0)⟩ ((asynced → boolvar1) ∧ ESUCCESS = err0)

User applied rule call right

And obtained the following new goals

Proof step 9:
boolvar ↔ boolvar0, dirs = abs-dirs(fs, ri), files = abs-files(fs, ri), inode = mkinode(m, md, false, fs[ri[inodekey(m)]].nlink, 0, m2), fs[ri[inodekey(m)]].inode?, 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), ri[inodekey(m)] ∈ fs, inodekey(m) ∈ ri, asynced → boolvar1 ⊦ ⟨if valid-file-inode(inode, dirs, files) then {fail_or_success#(; ; err); choose bv with true in asynced := bv} else abort⟩ ((asynced → boolvar1) ∧ ESUCCESS = err), fs[ri[inodekey(m)]].directory

Rule argument

pos: right 1

Additional information

Used simplifier rules: afs_fsync#(INODE, ISDATASYNC, DIRS, FILES; ; ASYNCED, ERR) {if valid-file-inode(INODE, DIRS, FILES) then {fail_or_success#(; ; ERR); choose bv with true in ASYNCED := bv} else abort };%⊦ inodekey(ino) ∈ ri ∧ ri[inodekey(ino)] ∈ fs ∧ ubifs-cons(fs, ri, ro, fi, fo, log) → fs[ri[inodekey(ino)]].inode?; (ss)% ⊦ key ∈ ri ∧ ubifs-cons(fs, ri, ro, fi, fo, log) → ri[key] ∈ fs; (ss)