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Proof step 172 from proof eq-io-truncate (previous step)

boolvar ↔ boolvar1, asynced ↔ boolvar2, VFS_PAGE_SIZE = n1 + m2 % VFS_PAGE_SIZE, files2[m, mkfile(n0, md, m4, content[m2 / VFS_PAGE_SIZE, fill(content[m2 / VFS_PAGE_SIZE], zero, m2 % VFS_PAGE_SIZE, n1)] upto m2)] = files0, files2[m] = mkfile(m3, md1, m4, content), dirs = dirs1, dirs0 = dirs1, files = files2, inode = inode0, inode0 = mkinode(m, md, false, m4, 0, m2), n = n0, pageno1 = m2 / VFS_PAGE_SIZE, m ∈ files2, m2 / VFS_PAGE_SIZE ∈ content, VFS_PAGE_SIZE ≤ # content[m2 / VFS_PAGE_SIZE], m2 ≤ n0 ⊦ m2 % VFS_PAGE_SIZE = 0, VFS_PAGE_SIZE = 0, buf-opt.some?, pre-truncate(inode, n, pageno1, buf-opt, dirs, files)

Heuristic simplifier applied rule simplifier

And closed the goal!

Rule argument

Additional information

Used simplifier rules: ⊦ mkfile(m, md, m0, content).nlink = m0; (s)% ⊦ 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)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).nlink = m0; (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)