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Proof step 70 from proof truncate-smaller (previous step)

files1[m] = mkfile(m0, md0, # links(m, dirs), content0), buf-opt = none, content = files1[inode.ino].content, files = files1[ino, files1[ino].content:= (content upto old_ino)], files0 = files1, ino = inode.ino, inode = mkinode(m, md, false, # links(m, dirs), 0, m2), new_inode = inode, old_ino = min(n, inode.size), old_ino0 = inode.size % VFS_PAGE_SIZE, old_ino1 = 0, old_ino2 = 0, pageno = m2 / VFS_PAGE_SIZE, afs-cons(dirs, files1), m ∈ files1, n ≤ m2 ⊦ [afs_inode_sync#(new_inode.size:= n; dirs, files); inode := getinode(inode.ino, dirs, files); err := ESUCCESS; asynced := ?] (err = ESUCCESS ⊃ files[inode.ino].content.stream to files[inode.ino].size = files0[inode.ino].content.stream to files[inode.ino].size ∧ inode.ino ∈ files ∧ n = files[inode.ino].size ∧ files0[inode.ino].nlink = files[inode.ino].nlink ∧ files0 -- inode.ino = files -- inode.ino ;⌊err⌋ ∧ files0 = files ), VFS_PAGE_SIZE = 0, inode.size ≤ n ∧ old_ino0 ≠ 0 ∧ (pageno ∈ content ∨ buf-opt.some?)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 71:
files1[m] = mkfile(m0, md0, # links(m, dirs), content0), files = files1[m, mkfile(m0, md0, # links(m, dirs), content0 upto n)], inode = mkinode(m, md, false, # links(m, dirs), 0, m2), afs-cons(dirs, files1), m ∈ files1, n ≤ m2 ⊦ [afs_inode_sync#(mkinode(m, md, false, # links(m, dirs), 0, n); dirs, files); inode := (inode.ino ∈ dirs ⊃ mkinode(inode.ino, dirs[inode.ino].meta, true, dirs[inode.ino].nlink, dirs[inode.ino].nsubdirs, dirs[inode.ino].size) ;mkinode(inode.ino, files[inode.ino].meta, false, files[inode.ino].nlink, 0, files[inode.ino].size) ); err := ESUCCESS; asynced := ?] (err = ESUCCESS ⊃ files[inode.ino].content.stream to files[inode.ino].size = files1[inode.ino].content.stream to files[inode.ino].size ∧ inode.ino ∈ files ∧ n = files[inode.ino].size ∧ files1[inode.ino].nlink = files[inode.ino].nlink ∧ files1 -- inode.ino = files -- inode.ino ;⌊err⌋ ∧ files1 = files ), n = m2 ∧ m2 % VFS_PAGE_SIZE ≠ 0 ∧ m2 / 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)%⊦ getinode(ino, dirs, files) = (ino ∈ dirs ⊃ mkinode (ino, dirs[ino].meta, true, dirs[ino].nlink, dirs[ino].nsubdirs, dirs[ino].size) ;mkinode (ino, files[ino].meta, false, files[ino].nlink, 0, files[ino].size) ); (s)%⊦ mkinode(m, md, boolvar, m0, m1, m2).size:= m6 = mkinode(m, md, boolvar, m0, m1, m6); (s)% ⊦ ¬ none.some?; (s)% ⊦ m ≤ n → (n ≤ m ↔ m = n); (s)% ⊦ VFS_PAGE_SIZE ≠ 0; (s)% ⊦ n0 ≤ n1 → min(n0, n1) = n0; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).size = m2; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).ino = m; (s)