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Proof step 170 from proof truncate-inv (previous step)

⟨afs_inode_sync#(new_inode.size:= m0; dirs, files1)⟩ (dirs = dirs1 ∧ files1 = files2), isdir ↔ inode.size ≤ m0 ∧ ino ≠ 0 ∧ (m0 / VFS_PAGE_SIZE ∈ content ∨ buf-opt.some?), isdir ↔ isdir0, ESUCCESS = ESUCCESS, files[ino4] = mkfile(m0, md, # links(ino4, dirs), content0), files0[ino4] = mkfile(m, md0, m1, content1), buf-opt = none, buf-opt = buf-opt1, content = files[inode.ino].content, dirs1 = dirs0, files1 = files[ino2, files[ino2].content:= (content upto ino0)], files2 = files0, getinode(inode.ino, dirs1, files2) = inode0, ino = inode.size % VFS_PAGE_SIZE, ino = ino1, ino0 = min(m0, inode.size), ino0 = ino3, ino2 = inode.ino, ino5 = 0, ino6 = 0, inode = mkinode(ino4, md, false, # links(ino4, dirs), 0, m0), ¬ isdir, new_inode = inode, pageno = pageno0, afs-cons(dirs0, files0), afs-cons(dirs, files), files ~ files0, ino4 ∈ files, n0 ≤ # buf0, inode.size ≤ m0 → ino ≠ 0 → VFS_PAGE_SIZE ≠ 0 ⊦ VFS_PAGE_SIZE = 0, ino4 ∈ files0 ∧ m = m0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 171:
⟨afs_inode_sync#(mkinode(ino4, md, false, # links(ino4, dirs), 0, m0); dirs, files1)⟩ (dirs = dirs0 ∧ files1 = files0), files[ino4] = mkfile(m0, md, # links(ino4, dirs), content0), files0[ino4] = mkfile(m, md0, m1, content1), files1 = files[ino4, mkfile(m0, md, # links(ino4, dirs), content0 upto m0)], afs-cons(dirs0, files0), afs-cons(dirs, files), files ~ files0, ino4 ∈ files, n0 ≤ # buf0 ⊦ ino4 ∈ files0 ∧ m = m0, m0 % VFS_PAGE_SIZE ≠ 0 ∧ m0 / VFS_PAGE_SIZE ∈ content0

Rule argument

Additional information

Used simplifier rules: ⊦ mkfile(m, md, m0, content).content:= content0 = mkfile(m, md, m0, content0); (s)% ⊦ mkfile(m, md, m0, content).content = content; (s)%⊦ mkinode(m, md, boolvar, m0, m1, m2).size:= m6 = mkinode(m, md, boolvar, m0, m1, m6); (s)% ⊦ VFS_PAGE_SIZE ≠ 0; (s)% ⊦ ¬ none.some?; (s)% ⊦ m ≤ m; (s)% ⊦ min(n, n) = n; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).size = m2; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).ino = m; (s)