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Proof step 14 from proof write-block-inv (previous step)

asynced0 ↔ asynced, VFS_PAGE_SIZE = n3 + (n0 + n2) % VFS_PAGE_SIZE, buf = mkbuf(VFS_PAGE_SIZE), dirs0 = dirs, files2 = files1, inode0 = inode, n4 = (n0 + n2) / VFS_PAGE_SIZE, write-inv(n0, n1, inode, buf1, n2, dirs, files0, files1), n0 + n2 ≤ n1 ⊦ ∀ buf, err. err = ESUCCESS ∧ buf = getpage(n4, files2[inode0.ino].content) ∨ ⌊err⌋ → [if err = ESUCCESS then afs_check_commit#(dirs, files1; err; asynced); if err = ESUCCESS then {buf := copy(buf1, n2, buf, (n0 + n2) % VFS_PAGE_SIZE, min(n1 - n0 + n2, n3)); afs_writepage#(inode, (n0 + n2) / VFS_PAGE_SIZE, buf, dirs; err, files1; asynced)}; 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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 15:
VFS_PAGE_SIZE = n3 + (n0 + n2) % VFS_PAGE_SIZE, min(n1 - n0 + n2, n3) ≠ 0, write-inv(n0, n1, inode, buf1, n2, dirs, files0, files1), n0 + n2 ≤ n1, err = ESUCCESS ∧ buf0 = getpage((n0 + n2) / VFS_PAGE_SIZE, files1[inode.ino].content) ∨ ⌊err⌋ ⊦ [if err = ESUCCESS then afs_check_commit#(dirs, files1; err; asynced0); if err = ESUCCESS then {buf0 := copy(buf1, n2, buf0, (n0 + n2) % VFS_PAGE_SIZE, min(n1 - n0 + n2, n3)); afs_writepage#(inode, (n0 + n2) / VFS_PAGE_SIZE, buf0, 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)

Proof step 14 from proof write-block-inv (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information