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Proof step 100 from proof write-loop-0 (previous step)

VFS_PAGE_SIZE = n0 + (ino2 + ino5) % VFS_PAGE_SIZE, buf = mkbuf(VFS_PAGE_SIZE), err = ESUCCESS, pageno = (ino2 + ino5) / VFS_PAGE_SIZE, pre-readpage(inode, pageno, buf, dirs, files), ino2 + ino5 ≤ ino1, ino5 = 0 → files = files1 ⊦ [fail#(; ; err); if err = ESUCCESS then afs_check_commit#(dirs, files; err; asynced); if err = ESUCCESS then {buf := copy(buf0, ino5, buf, (ino2 + ino5) % VFS_PAGE_SIZE, min(ino1 - ino2 + ino5, n0)); afs_writepage#(inode, (ino2 + ino5) / VFS_PAGE_SIZE, buf, dirs; err, files; asynced)}; n := min(ino1 - ino2 + ino5, n0); if err = ESUCCESS then ino5 := ino5 + n] (ino5 = 0 → files = files1), VFS_PAGE_SIZE = 0, min(ino1 - ino2 + ino5, n0) = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 101:
VFS_PAGE_SIZE = n0 + (ino2 + ino5) % VFS_PAGE_SIZE, min(ino1 - ino2 + ino5, n0) ≠ 0, inode.ino ∈ files, ino2 + ino5 ≤ ino1, ino5 = 0 → files = files1 ⊦ [fail#(; ; err); if err = ESUCCESS then afs_check_commit#(dirs, files; err; asynced); if err = ESUCCESS then {buf := copy(buf0, ino5, mkbuf(VFS_PAGE_SIZE), (ino2 + ino5) % VFS_PAGE_SIZE, min(ino1 - ino2 + ino5, n0)); afs_writepage#(inode, (ino2 + ino5) / VFS_PAGE_SIZE, buf, dirs; err, files; asynced)}; n := min(ino1 - ino2 + ino5, n0); if err = ESUCCESS then ino5 := ino5 + n] (ino5 = 0 → files = files1)

Rule argument

Additional information

Used simplifier rules: ⊦ # mkbuf(n) = n; (s)% ⊦ valid-file-ino(ino, dirs, files) ↔ ino ∈ files; (s)%⊦ pre-readpage(inode, n, buf, dirs, files) ↔ valid-file-ino(inode.ino, dirs, files) ∧ # buf = VFS_PAGE_SIZE; (s)% ⊦ VFS_PAGE_SIZE ≠ 0; (s)