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Proof step 3 from proof write-prepost-partial (previous step)

file = of1[fd], files0 = files1, n0 = n1, of0 = of1, afs-cons(dirs, files1), of-cons(of1, dirs, files1), n1 ≤ # buf ⊦ [vfs_write#(fd, buf, user; n1, err, of1, dirs, files1, asynced)] (err = ESUCCESS ⊃ (files1[file.ino].content.stream to files1[file.ino].size).buf = splice(buf, 0, (files0[file.ino].content.stream to files0[file.ino].size).buf, file.pos, n1) ∧ fd ∈ of0 ∧ of1 = of0[fd, file.pos:= (file.pos + n1)] ∧ n1 ≤ n0 ∧ file.ino ∈ files0 ∧ file.ino ∈ files1 ∧ files1[file.ino].meta = files0[file.ino].meta ∧ files1 -- file.ino = files0 -- file.ino ∧ (file.mode = MODE_W ∨ file.mode = MODE_RW) ;files1 ~ files0 ∧ of0 = of1 ∧ (err = EBADFD ∧ (fd ∈ of1 → file.mode ≠ MODE_W ∧ file.mode ≠ MODE_RW) ∨ ⌊err⌋ ) )

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 4:
file = of1[fd], files = files1, files0 = files1, n = n1, n0 = n1, of = of1, of0 = of1, afs-cons(dirs, files1), of-cons(of1, dirs, files1), n1 ≤ # buf ⊦ [if n ≤ # buf then {err := ESUCCESS; if ¬ fd ∈ of then err := EBADFD else if of[fd].mode ≠ MODE_W ∧ of[fd].mode ≠ MODE_RW then err := EBADFD else if n ≠ 0 then choose inode, isdir with true in {afs_iget#(of[fd].ino, dirs, files, asynced; inode, err); if err = ESUCCESS then if inode.directory then err := EISDIR else let ino2 = of[fd].pos, ino1 = of[fd].pos + n, ino0 = 0, pageno = 0, buf-opt = none in {if err = ESUCCESS then pageno := inode.size / VFS_PAGE_SIZE; if err = ESUCCESS then afs_truncate#(inode.size, pageno; buf-opt, inode, isdir, err, dirs, files, asynced); if err = ESUCCESS then vfs_write_loop#(ino2, inode, ino1, buf, dirs; ino0, err, files, asynced); if ino0 ≠ 0 then err := ESUCCESS; if err = ESUCCESS then let ino = inode.size in {n := ino0, ino1 := ino2 + ino0; if ino0 ≠ 0 ∧ ino < ino1 then {inode.size := ino1; afs_check_commit#(dirs, files; err; asynced); if err = ESUCCESS then afs_write_inode#(inode; err, dirs, files; asynced)}; if err ≠ ESUCCESS then n := (ino2 ≤ ino ⊃ ino - ino2;0), err := ESUCCESS; of[fd].pos := ino2 + n}}}} else abort] (err = ESUCCESS ⊃ (files[file.ino].content.stream to files[file.ino].size).buf = splice(buf, 0, (files0[file.ino].content.stream to files0[file.ino].size).buf, file.pos, n) ∧ fd ∈ of0 ∧ of = of0[fd, file.pos:= (file.pos + n)] ∧ n ≤ n0 ∧ file.ino ∈ files0 ∧ file.ino ∈ files ∧ files[file.ino].meta = files0[file.ino].meta ∧ files -- file.ino = files0 -- file.ino ∧ (file.mode = MODE_W ∨ file.mode = MODE_RW) ;files ~ files0 ∧ of0 = of ∧ (err = EBADFD ∧ (fd ∈ of → file.mode ≠ MODE_W ∧ file.mode ≠ MODE_RW) ∨ ⌊err⌋ ) )

Rule argument

pos: right 1

Additional information

Used simplifier rules: vfs_write#(FD, BUF, USER; N, ERR, OF, DIRS, FILES, ASYNCED) {if N ≤ # BUF then {ERR := ESUCCESS; if ¬ FD ∈ OF then ERR := EBADFD else if OF[FD].mode ≠ MODE_W ∧ OF[FD].mode ≠ MODE_RW then ERR := EBADFD else if N ≠ 0 then choose INODE, MODIFIED with true in {afs_iget# (OF[FD].ino, DIRS, FILES, ASYNCED ; INODE, ERR); if ERR = ESUCCESS then if INODE.directory then ERR := EISDIR else let START = OF[FD].pos, END = OF[FD].pos + N, TOTAL = 0, PAGENO = 0, PBUF-OPT = none in {if ERR = ESUCCESS then PAGENO := INODE.size / VFS_PAGE_SIZE; if ERR = ESUCCESS then afs_truncate# (INODE.size, PAGENO ; PBUF-OPT, INODE, MODIFIED, ERR, DIRS, FILES, ASYNCED); if ERR = ESUCCESS then vfs_write_loop# (START, INODE, END, BUF, DIRS ; TOTAL, ERR, FILES, ASYNCED); if TOTAL ≠ 0 then ERR := ESUCCESS; if ERR = ESUCCESS then let SIZE = INODE.size in {N := TOTAL, END := START + TOTAL; if TOTAL ≠ 0 ∧ SIZE < END then {INODE.size := END; afs_check_commit# (DIRS, FILES ; ERR ; ASYNCED); if ERR = ESUCCESS then afs_write_inode# (INODE ; ERR, DIRS, FILES ; ASYNCED)}; if ERR ≠ ESUCCESS then N := (START ≤ SIZE ⊃ SIZE - START ;0 ), ERR := ESUCCESS; OF[FD].pos := START + N}}}} else abort };