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Proof step 313 from proof write-prepost (previous step)

of1[fd] = mkfile(m, mode, m0), err = err0, files = files1, n = n1, of = of1, afs-cons(dirs, files1), of-cons(of1, dirs, files1), fd ∈ of1, n1 ≤ # buf, ⌊err0⌋ ⊦ [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}}; file := of1[fd]] (err = ESUCCESS ⊃ (files[file.ino].content.stream to files[file.ino].size).buf = splice(buf, 0, (files1[file.ino].content.stream to files1[file.ino].size).buf, file.pos, n) ∧ of = of1[fd, file.pos:= (file.pos + n)] ∧ n ≤ n1 ∧ file.ino ∈ files1 ∧ file.ino ∈ files ∧ files[file.ino].meta = files1[file.ino].meta ∧ files -- file.ino = files1 -- file.ino ∧ (file.mode = MODE_W ∨ file.mode = MODE_RW) ;files ~ files1 ∧ of1 = of ∧ (err = EBADFD ∧ (fd ∈ of → file.mode ≠ MODE_W ∧ file.mode ≠ MODE_RW) ∨ ⌊err⌋ ) ), n1 = 0, mode ≠ MODE_W ∧ mode ≠ MODE_RW

Heuristic symbolic execution applied rule if negative right

And obtained the following new goals

Proof step 314:
of1[fd] = mkfile(m, mode, m0), err = err0, files = files1, n = n1, of = of1, afs-cons(dirs, files1), of-cons(of1, dirs, files1), fd ∈ of1, n1 ≤ # buf, ⌊err0⌋ ⊦ [skip; file := of1[fd]] (err = ESUCCESS ⊃ (files[file.ino].content.stream to files[file.ino].size).buf = splice(buf, 0, (files1[file.ino].content.stream to files1[file.ino].size).buf, file.pos, n) ∧ of = of1[fd, file.pos:= (file.pos + n)] ∧ n ≤ n1 ∧ file.ino ∈ files1 ∧ file.ino ∈ files ∧ files[file.ino].meta = files1[file.ino].meta ∧ files -- file.ino = files1 -- file.ino ∧ (file.mode = MODE_W ∨ file.mode = MODE_RW) ;files ~ files1 ∧ of1 = of ∧ (err = EBADFD ∧ (fd ∈ of → file.mode ≠ MODE_W ∧ file.mode ≠ MODE_RW) ∨ ⌊err⌋ ) ), n1 = 0, mode ≠ MODE_W ∧ mode ≠ MODE_RW

Rule argument

pos: right 1

Additional information

Used simplifier rules: ⊦ ⌊err⌋ → err ≠ ESUCCESS; (s)