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Proof step 26 from proof write-block-inv (previous step)

VFS_PAGE_SIZE = n3 + (n0 + n2) % VFS_PAGE_SIZE, err = ESUCCESS, min(n1 - n0 + n2, n3) ≠ 0, write-inv(n0, n1, inode, buf1, n2, dirs, files0, files1), (n0 + n2) % VFS_PAGE_SIZE + min(n1 - n0 + n2, n3) ≤ # getpage((n0 + n2) / VFS_PAGE_SIZE, files1[inode.ino].content), n2 + min(n1 - n0 + n2, n3) ≤ # buf1, n0 + n2 ≤ n1 ⊦ [afs_writepage# (inode, (n0 + n2) / VFS_PAGE_SIZE, copy(buf1, n2, getpage((n0 + n2) / VFS_PAGE_SIZE, files1[inode.ino].content), (n0 + n2) % VFS_PAGE_SIZE, min(n1 - n0 + n2, n3)), dirs ; err, files1 ; asynced0); n := min(n1 - n0 + n2, n3); if err = ESUCCESS then n2 := n2 + n] write-inv(n0, n1, inode, buf1, n2, dirs, files0, files1)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 27:
VFS_PAGE_SIZE = n3 + (n0 + n2) % VFS_PAGE_SIZE, err = ESUCCESS, inode = mkinode(m, md, boolvar, m0, m1, m2), write-inv(n0, n1, inode, buf1, n2, dirs, files0, files1), n0 + n2 ≤ n1, n2 + min(n1 - n0 + n2, n3) ≤ # buf1, (n0 + n2) % VFS_PAGE_SIZE + min(n1 - n0 + n2, n3) ≤ # getpage((n0 + n2) / VFS_PAGE_SIZE, files1[m].content) ⊦ [afs_writepage# (inode, (n0 + n2) / VFS_PAGE_SIZE, copy(buf1, n2, getpage((n0 + n2) / VFS_PAGE_SIZE, files1[m].content), (n0 + n2) % VFS_PAGE_SIZE, min(n1 - n0 + n2, n3)), dirs ; err, files1 ; asynced0); n := min(n1 - n0 + n2, n3); if err = ESUCCESS then n2 := n2 + n] write-inv(n0, n1, inode, buf1, n2, dirs, files0, files1), min(n1 - n0 + n2, n3) = 0

Rule argument

spec: inode name: elim seq: ⊦ ( ( ( (m = inode.ino ∧ md = inode.meta) ∧ (boolvar ↔ inode.directory)) ∧ m0 = inode.nlink) ∧ m1 = inode.nsubdirs) ∧ m2 = inode.size ↔ inode = mkinode(m, md, boolvar, m0, m1, m2) subst: [inode, m, md, boolvar, m0, m1, m2] → [inode, m, md, boolvar, m0, m1, m2]

Additional information

Used simplifier rules: ⊦ ( ( ( (m = inode.ino ∧ md = inode.meta) ∧ (boolvar ↔ inode.directory)) ∧ m0 = inode.nlink) ∧ m1 = inode.nsubdirs) ∧ m2 = inode.size ↔ inode = mkinode(m, md, boolvar, m0, m1, m2); (elim) Used terms: inode, m, md, boolvar, m0, m1, m2