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Proof step 3 from proof refine-truncate (previous step)

p_inode.nlink = fs[ri[inodekey(p_inode.ino)]].nlink, p_inode.nsubdirs = 0, boolvar0 ↔ boolvar1, buf-opt = buf-opt0, dirs = abs-dirs(fs, ri), err = err0, files = abs-files(fs, ri), inode = p_inode, 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(p_inode.ino) ∈ ri, ¬ fs[ri[inodekey(p_inode.ino)]].directory, ¬ p_inode.directory, buf-opt0.some? → # buf-opt0.buf = VFS_PAGE_SIZE, asynced → boolvar ⊦ ⟪aubifs_truncate#(n, p_inode.size / VFS_PAGE_SIZE, fi, orphans(fs, ri), fo; buf-opt, inode, boolvar0, err, ri, fs, log, boolvar)⟫ ⟨afs_truncate#(n, p_inode.size / 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)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 4:
boolvar0 ↔ boolvar1, ¬ boolvar2, buf-opt = buf-opt0, dirs = abs-dirs(fs, ri), err = err0, files = abs-files(fs, ri), inode = p_inode, m0 = fs[ri[inodekey(m)]].nlink, m1 = 0, p_inode = mkinode(m, md, boolvar2, m0, m1, m2), ro = orphans(fs, ri), 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, asynced → boolvar, buf-opt0.some? → # buf-opt0.buf = VFS_PAGE_SIZE ⊦ ⟪aubifs_truncate#(n, m2 / VFS_PAGE_SIZE, fi, orphans(fs, ri), fo; buf-opt, inode, boolvar0, err, ri, fs, log, boolvar)⟫ ⟨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), fs[ri[inodekey(m)]].directory

Rule argument

spec: inode name: elim seq: ⊦ ( ( ( (m = inode.ino ∧ md = inode.meta) ∧ (boolvar ↔ inode.directory)) ∧ m0 = inode.nlink) ∧ m1 = inode.nsubdirs) ∧ m2 = inode.size ↔ inode = mkinode(m, md, boolvar, m0, m1, m2) subst: [inode, m, md, boolvar, m0, m1, m2] → [p_inode, m, md, boolvar2, m0, m1, m2]

Additional information

Used simplifier rules: ⊦ ( ( ( (m = inode.ino ∧ md = inode.meta) ∧ (boolvar ↔ inode.directory)) ∧ m0 = inode.nlink) ∧ m1 = inode.nsubdirs) ∧ m2 = inode.size ↔ inode = mkinode(m, md, boolvar, m0, m1, m2); (elim) Used terms: p_inode, m, md, boolvar2, m0, m1, m2