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Proof step 453 from proof inv-write (previous step)

VFS_PAGE_SIZE = n1 + (m0 + ino0) % VFS_PAGE_SIZE, of[fd] = mkfile(m, mode, m0), files0[m] = mkfile(m1, md, # links(m, dirs), content0), files[m] = mkfile(m2, md0, m3, content), err = ESUCCESS, min(n0 - ino0, n1) ≠ 0, n0 ≠ 0, dom of < ino3, afs-cons(dirs, files), afs-cons(dirs, files0), of-cons(of, dirs, files), of-cons(of, dirs, files0), m ∈ files0, fd ∈ of, ino0 ≤ # buf0, n0 ≤ # buf0, ino0 ≤ n0, (m0 + ino0) % VFS_PAGE_SIZE + min(n0 - ino0, n1) ≤ VFS_PAGE_SIZE, ino0 + min(n0 - ino0, n1) ≤ # buf0, ¬ (m0 + ino0) / VFS_PAGE_SIZE ∈ content ⊦ [afs_writepage# (mkinode(m, md, false, # links(m, dirs), 0, m1), (m0 + ino0) / VFS_PAGE_SIZE, copy(buf0, ino0, zeropage, (m0 + ino0) % VFS_PAGE_SIZE, min(m0 + n0 - m0 + ino0, n1)), dirs ; err, files ; asynced); if err = ESUCCESS then ino3 := ino0 + min(m0 + n0 - m0 + ino0, n1)] (of-cons(of, dirs, files) ∧ afs-cons(dirs, files)), m1 % VFS_PAGE_SIZE ≠ 0 ∧ m1 / VFS_PAGE_SIZE ∈ content0, mode ≠ MODE_W ∧ mode ≠ MODE_RW

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 454:
VFS_PAGE_SIZE = n1 + (m0 + ino0) % VFS_PAGE_SIZE, files[m] = mkfile(m2, md0, m3, content), files0[m] = mkfile(m1, md, # links(m, dirs), content0), of[fd] = mkfile(m, mode, m0), buf = copy(buf0, ino0, zeropage, (m0 + ino0) % VFS_PAGE_SIZE, min(m0 + n0 - m0 + ino0, n1)), err = ESUCCESS, inode = mkinode(m, md, false, # links(m, dirs), 0, m1), pageno = (m0 + ino0) / VFS_PAGE_SIZE, dom of < ino3, afs-cons(dirs, files0), afs-cons(dirs, files), of-cons(of, dirs, files0), of-cons(of, dirs, files), fd ∈ of, m ∈ files0, ino0 + min(m0 + n0 - m0 + ino0, n1) ≤ # buf0, (m0 + ino0) % VFS_PAGE_SIZE + min(m0 + n0 - m0 + ino0, n1) ≤ # zeropage, ino0 + min(n0 - ino0, n1) ≤ # buf0, (m0 + ino0) % VFS_PAGE_SIZE + min(n0 - ino0, n1) ≤ VFS_PAGE_SIZE, ino0 ≤ n0, n0 ≤ # buf0, ino0 ≤ # buf0, m0 + n0 ≥ m0 + ino0 ⊦ [if pre-writepage(inode, pageno, buf, dirs, files) then {{files[inode.ino].content[pageno] := buf; err := ESUCCESS} or fail#(; ; err); asynced := ?} else abort; if err = ESUCCESS then ino3 := ino0 + min(m0 + n0 - m0 + ino0, n1)] (of-cons(of, dirs, files) ∧ afs-cons(dirs, files)), VFS_PAGE_SIZE = 0, min(n0 - ino0, n1) = 0, n0 = 0, (m0 + ino0) / VFS_PAGE_SIZE ∈ content, mode ≠ MODE_W ∧ mode ≠ MODE_RW, m1 % VFS_PAGE_SIZE ≠ 0 ∧ m1 / VFS_PAGE_SIZE ∈ content0

Rule argument

pos: right 1

Additional information

Used simplifier rules: afs_writepage#(INODE, PAGENO, PBUF, DIRS; ERR, FILES; ASYNCED) {if pre-writepage(INODE, PAGENO, PBUF, DIRS, FILES) then { {FILES[INODE.ino].content[PAGENO] := PBUF; ERR := ESUCCESS} or fail#(; ; ERR); ASYNCED := ?} else abort };