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Proof step 5 from proof refine-truncate (previous step)

boolvar0 ↔ boolvar1, buf-opt = buf-opt0, dirs = abs-dirs(fs, ri), err = err0, files = abs-files(fs, ri), inode = mkinode(m, md, false, fs[ri[inodekey(m)]].nlink, 0, m2), m0 = fs[ri[inodekey(m)]].nlink, ro = orphans(fs, ri), 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), inodekey(m) ∈ ri, ¬ fs[ri[inodekey(m)]].directory, buf-opt0.some? → # buf-opt0.buf = VFS_PAGE_SIZE, asynced → boolvar ⊦ ⟪aubifs_truncate#(n, m2 / VFS_PAGE_SIZE, fi, orphans(fs, ri), fo; buf-opt, inode, boolvar0, err, ri, fs, log, boolvar)⟫ ⟨p_inode := mkinode(m, md, false, m0, 0, m2); afs_truncate#(n, m2 / VFS_PAGE_SIZE; buf-opt0, p_inode, boolvar1, err0, dirs, files, asynced)⟩ ( dirs = abs-dirs(fs, ri) ∧ files = abs-files(fs, ri) ∧ orphans(abs-dirs(fs, ri), abs-files(fs, ri)) = abs-keys(ro) ∧ (asynced → boolvar) ∧ buf-opt = buf-opt0 ∧ inode = p_inode ∧ (boolvar0 ↔ boolvar1) ∧ err = err0)

User applied rule insert program lemma

And obtained the following new goals

Rule argument

spec: aubifs-asm name: inv-truncate seq: 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), ri-inj(ri), ri-inj(fi), log-cons(log, fs), ro.inodes?, fo.inodes?, pre-truncate(inode, n, pageno, buf-opt, fs, ri, ro) ⊦ ⟪aubifs_truncate# (n, pageno, fi, ro, fo ; buf-opt, inode, boolvar, err, ri, fs, log, boolvar0)⟫ ( 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) ∧ ri-inj(ri) ∧ log-cons(log, fs)) subst: [fo, ro, fi, pageno, n, boolvar0, log, fs, ri, err, boolvar, inode, buf-opt] → [fo, orphans(fs, ri), fi, m2 / VFS_PAGE_SIZE, n, boolvar, log, fs, ri, err, boolvar0, inode, buf-opt] flags: <all paths>

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