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Proof step 48 from proof inv-mkdir (previous step)

dirs[ino0] = mkdir(m, md0, # links(ino0, dirs), m1, entries), dent = negdentry(str), err = EEXISTS, err0 = ESUCCESS, err1 = ESUCCESS, p_ino = ino0, afs-cons(dirs, files), ispath(q, ROOT_INO, ino0, dirs, files), of-cons(of, dirs, files), pre-lookup(p_ino, dent, dirs, files), pw(user, md0), px(user, md0), px-parent(user, q, ROOT_INO, dirs, files), dent.name ∈ dirs[p_ino].entries, ino0 ∈ dirs ⊦ ⟪if err = ESUCCESS then afs_check_commit#(dirs, files; err; asynced); if err = ESUCCESS then {dent := negdentry((q + str ').last); inode := (ino0 ∈ dirs ⊃ mkinode(ino0, md0, true, # links(ino0, dirs), m1, m) ;mkinode(ino0, files[ino0].meta, false, files[ino0].nlink, 0, files[ino0].size) ); afs_mkdir#(md; inode, c_inode, dent, err, dirs, files; asynced)}⟫ (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 49:
dirs[ino0] = mkdir(m, md0, # links(ino0, dirs), m1, entries), dent = negdentry(str), err = EEXISTS, err0 = ESUCCESS, err1 = ESUCCESS, p_ino = ino0, afs-cons(dirs, files), ispath(q, ROOT_INO, ino0, dirs, files), of-cons(of, dirs, files), pre-lookup(p_ino, dent, dirs, files), pw(user, md0), px(user, md0), px-parent(user, q, ROOT_INO, dirs, files), ino0 ∈ dirs, dent.name ∈ dirs[p_ino].entries ⊦ ⟪skip; if err = ESUCCESS then {dent := negdentry((q + str ').last); inode := (ino0 ∈ dirs ⊃ mkinode(ino0, md0, true, # links(ino0, dirs), m1, m) ;mkinode(ino0, files[ino0].meta, false, files[ino0].nlink, 0, files[ino0].size) ); afs_mkdir#(md; inode, c_inode, dent, err, dirs, files; asynced)}⟫ (of-cons(of, dirs, files) ∧ afs-cons(dirs, files))

Rule argument

pos: right 1

Additional information

Used simplifier rules: ⊦ ESUCCESS ≠ EEXISTS; (s)