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Proof step 281 from proof inv-rmdir (previous step)

isdir1 ↔ true, isdir ↔ true, isdir0 ↔ isdir, dirs[ino1] = mkdir(m, md, # links(ino1, dirs), m1, entries), dent = negdentry(str), err = err0, dom of < ino0, afs-cons(dirs, files), ispath(q, ROOT_INO, ino1, dirs, files), of-cons(of, dirs, files), pw(user, md), px(user, md), px-parent(user, q, ROOT_INO, dirs, files), ino1 ∈ dirs, ⌊err0⌋ , links(ino1, dirs) ≠ ∅ ∨ ino1 = ROOT_INO ⊦ ⟪if err = ESUCCESS then afs_check_commit#(dirs, files; err; asynced); if err = ESUCCESS then {inode := (ino1 ∈ dirs ⊃ mkinode(ino1, md, true, # links(ino1, dirs), m1, m) ;mkinode(ino1, files[ino1].meta, false, files[ino1].nlink, 0, files[ino1].size) ); afs_rmdir#(; inode, p_inode, dent, err, dirs, files; asynced); vfs_put_inode#(p_inode, of, asynced; err, dirs, files)}⟫ (of-cons(of, dirs, files) ∧ afs-cons(dirs, files))

Heuristic symbolic execution applied rule if negative right

And obtained the following new goals

Proof step 282:
isdir0 ↔ isdir, isdir ↔ true, isdir1 ↔ true, dirs[ino1] = mkdir(m, md, # links(ino1, dirs), m1, entries), dent = negdentry(str), err = err0, dom of < ino0, afs-cons(dirs, files), ispath(q, ROOT_INO, ino1, dirs, files), of-cons(of, dirs, files), pw(user, md), px(user, md), px-parent(user, q, ROOT_INO, dirs, files), ino1 ∈ dirs, ⌊err0⌋ , links(ino1, dirs) ≠ ∅ ∨ ino1 = ROOT_INO ⊦ ⟪skip; if err = ESUCCESS then {inode := (ino1 ∈ dirs ⊃ mkinode(ino1, md, true, # links(ino1, dirs), m1, m) ;mkinode(ino1, files[ino1].meta, false, files[ino1].nlink, 0, files[ino1].size) ); afs_rmdir#(; inode, p_inode, dent, err, dirs, files; asynced); vfs_put_inode#(p_inode, of, asynced; err, dirs, files)}⟫ (of-cons(of, dirs, files) ∧ afs-cons(dirs, files))

Rule argument

pos: right 1

Additional information

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