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Proof step 1438 from proof refine-truncate (previous step)

boolvar ↔ boolvar2, boolvar1 ↔ boolvar2, 0 = fs[ri[inodekey(m)]].nsubdirs, buf-opt = buf-opt0, buf-opt1 = buf-opt0, dirs = abs-dirs(fs, ri), err = err0, files = abs-files(fs, ri), inode = p_inode, p_inode = mkinode(m, md, false, fs[ri[inodekey(m)]].nlink, 0, m2), pageno = 0, pageno0 = 0, 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)), pre-truncate(inode, n, pageno1, buf-opt, dirs, files), 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 → boolvar0, buf-opt0.some? → # buf-opt0.buf = VFS_PAGE_SIZE, ∀ adr, adr0. adr ∈ fs ∨ adr0 ∈ fs ∨ adr = adr0 ⊦ ⟨afs_truncate_internal#(n, pageno1; inode, buf-opt, pageno0, pageno, boolvar, err, dirs, files; asynced)⟩ ( dirs = abs-dirs(fs, ri) ∧ files = abs-files(fs, ri) ∧ (asynced → boolvar4) ∧ buf-opt1 = buf-opt ∧ mkinode(m, md, false, fs[ri[inodekey(m)]].nlink, 0, m2) = inode ∧ (boolvar1 ↔ boolvar) ∧ ENOSPC = err), VFS_PAGE_SIZE = 0, fs[ri[inodekey(m)]].directory, m2 ≤ n ∧ m2 % VFS_PAGE_SIZE ≠ 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 1439:
boolvar ↔ boolvar2, 0 = fs[ri[inodekey(m)]].nsubdirs, buf-opt = buf-opt0, dirs = abs-dirs(fs, ri), files = abs-files(fs, ri), inode = mkinode(m, md, false, fs[ri[inodekey(m)]].nlink, 0, m2), pageno = 0, pageno0 = 0, 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 → boolvar0, ∀ adr, adr0. adr ∈ fs ∨ adr0 ∈ fs ∨ adr = adr0 ⊦ ⟨afs_truncate_internal#(n, m2 / VFS_PAGE_SIZE; inode, buf-opt, pageno0, pageno, boolvar, err, dirs, files; asynced)⟩ ( dirs = abs-dirs(fs, ri) ∧ files = abs-files(fs, ri) ∧ (asynced → boolvar4) ∧ buf-opt0 = buf-opt ∧ mkinode(m, md, false, fs[ri[inodekey(m)]].nlink, 0, m2) = inode ∧ (boolvar2 ↔ boolvar) ∧ ENOSPC = err), m2 ≤ n ∧ m2 % VFS_PAGE_SIZE ≠ 0

Rule argument

Additional information

Used simplifier rules: ⊦ mkinode(m, md, boolvar, m0, m1, m2).size = m2; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).directory ↔ boolvar; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).nsubdirs = m1; (s)% ⊦ mkfile(m, md, m0, content).nlink = m0; (s)%⊦ abs-file(ino, fs, ri) = mkfile (fs[ri[inodekey(ino)]].size, fs[ri[inodekey(ino)]].meta, fs[ri[inodekey(ino)]].nlink, abs-content(ino, fs, ri)); (s)%⊦ inodekey(ino) ∈ ri ∧ ¬ fs[ri[inodekey(ino)]].directory → abs-files(fs, ri)[ino] = abs-file(ino, fs, ri); (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).nlink = m0; (s)%⊦ ino ∈ abs-files(fs, ri) ↔ inodekey(ino) ∈ ri ∧ ¬ fs[ri[inodekey(ino)]].directory; (s)% ⊦ valid-file-ino(ino, dirs, files) ↔ ino ∈ files; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).ino = m; (s)%⊦ valid-file-inode(inode, dirs, files) ↔ valid-file-ino(inode.ino, dirs, files) ∧ inode.nlink = files[inode.ino].nlink ∧ inode.nsubdirs = 0 ∧ ¬ inode.directory; (s)%⊦ pre-truncate(inode, n, pageno, buf-opt, dirs, files) ↔ valid-file-inode(inode, dirs, files) ∧ pageno = inode.size / VFS_PAGE_SIZE ∧ (buf-opt.some? → # buf-opt.buf = VFS_PAGE_SIZE); (s)% ⊦ VFS_PAGE_SIZE ≠ 0; (s)