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Proof step 1512 from proof refine-truncate (previous step)

boolvar1 ↔ boolvar2, fs[ri[inodekey(m)]] = inodenode(key, md0, false, m0, 0, m3), buf-opt = buf-opt0, dirs = abs-dirs(fs, ri), files = abs-files(fs, ri), p_inode = mkinode(m, md, false, m0, 0, m2), 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, ri[inodekey(m)] ∈ fs, ⌊err0⌋ , buf-opt0.some? → # buf-opt0.buf = VFS_PAGE_SIZE, asynced → boolvar0 ⊦ ⟨afs_truncate#(n, m2 / VFS_PAGE_SIZE; buf-opt0, p_inode, boolvar2, err1, dirs, files, asynced)⟩ ( dirs = abs-dirs(fs, ri) ∧ files = abs-files(fs, ri) ∧ (asynced → boolvar4) ∧ buf-opt = buf-opt0 ∧ mkinode(m, md, false, m0, 0, m2) = p_inode ∧ (boolvar1 ↔ boolvar2) ∧ err0 = err1), m2 ≤ n ∧ m2 % VFS_PAGE_SIZE ≠ 0

User applied rule call right

And obtained the following new goals

Proof step 1513:
boolvar ↔ boolvar2, boolvar1 ↔ boolvar2, fs[ri[inodekey(m)]] = inodenode(key, md0, false, m0, 0, m3), buf-opt = buf-opt0, buf-opt1 = buf-opt0, dirs = abs-dirs(fs, ri), err = err1, files = abs-files(fs, ri), inode = p_inode, p_inode = mkinode(m, md, false, m0, 0, m2), pageno1 = m2 / VFS_PAGE_SIZE, 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), ri[inodekey(m)] ∈ fs, inodekey(m) ∈ ri, ⌊err0⌋ , asynced → boolvar0, buf-opt0.some? → # buf-opt0.buf = VFS_PAGE_SIZE ⊦ ⟨if pre-truncate(inode, n, pageno1, buf-opt, dirs, files) then let pageno0 = 0, pageno = 0 in afs_truncate_internal#(n, pageno1; inode, buf-opt, pageno0, pageno, boolvar, err, dirs, files; asynced) else abort⟩ ( dirs = abs-dirs(fs, ri) ∧ files = abs-files(fs, ri) ∧ (asynced → boolvar4) ∧ buf-opt1 = buf-opt ∧ mkinode(m, md, false, m0, 0, m2) = inode ∧ (boolvar1 ↔ boolvar) ∧ err0 = err), VFS_PAGE_SIZE = 0, m2 ≤ n ∧ m2 % VFS_PAGE_SIZE ≠ 0

Rule argument

pos: right 1

Additional information

Used simplifier rules: afs_truncate# (N, PAGENO; PBUF-OPT, INODE, MODIFIED, ERR, DIRS, FILES, ASYNCED) {if pre-truncate(INODE, N, PAGENO, PBUF-OPT, DIRS, FILES) then let OFFSET = 0, SIZE = 0 in afs_truncate_internal# (N, PAGENO ; INODE, PBUF-OPT, OFFSET, SIZE, MODIFIED, ERR, DIRS, FILES ; ASYNCED) else abort };% ⊦ VFS_PAGE_SIZE ≠ 0; (s)