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Proof step 66 from proof refine-create (previous step)

fs1[ri[inodekey(m0)]] = inodenode(key, md1, true, m1, m2, m6), dirs = abs-dirs(fs1, ri), files = abs-files(fs1, ri), ri0 = ri, ro0 = orphans(fs1, ri), adr1 ≠ adr3, adr1 ≠ adr2, adr2 ≠ adr3, n ≠ 0, orphans(fs1, ri).inodes?, fo.inodes?, afs-cons(abs-dirs(fs1, ri), abs-files(fs1, ri)), file-node-cons(fs1, ri), log-cons(log0, fs1), orphans-cons(fs1, ri, orphans(fs1, ri)), replay-cons-strong(fs1, ri, orphans(fs1, ri), fi, fo, log0), ri-inj(ri), ri-inj(fi), ubifs-cons(fs1, ri, orphans(fs1, ri), fi, fo, log0), inodekey(m0) ∈ ri, ri[inodekey(m0)] ∈ fs1, ¬ dentrykey(m0, str) ∈ ri, ¬ inodekey(n) ∈ fo, ¬ inodekey(n) ∈ ri, ¬ adr1 ∈ fs1, ¬ adr2 ∈ fs1, ¬ adr3 ∈ fs1, asynced → boolvar0, links(m0, abs-dirs(fs1, ri)) ≠ ∅ ∨ m0 = ROOT_INO, m1 ≠ 0 ∨ m0 = ROOT_INO ⊦ [aubifs_core_index_store# (inodekey(m0), adr1, fi, orphans(fs1, ri), fo, fs1[adr1, inodenode(inodekey(m0), md2, true, m1, m2, m6 + 1)][adr2, dentrynode(dentrykey(m0, str), n)] [adr3, inodenode(inodekey(n), md, false, 1, 0, 0) ], ((log0 + adr1 ') + adr2 ') + adr3 ', boolvar ; ri); aubifs_core_index_store# (dentrykey(m0, str), adr2, fi, orphans(fs1, ri0), fo, fs1[adr1, inodenode(inodekey(m0), md2, true, m1, m2, m6 + 1)][adr2, dentrynode(dentrykey(m0, str), n)] [adr3, inodenode(inodekey(n), md, false, 1, 0, 0) ], ((log0 + adr1 ') + adr2 ') + adr3 ', boolvar ; ri); aubifs_core_index_store# (inodekey(n), adr3, fi, orphans(fs1, ri0), fo, fs1[adr1, inodenode(inodekey(m0), md2, true, m1, m2, m6 + 1)][adr2, dentrynode(dentrykey(m0, str), n)] [adr3, inodenode(inodekey(n), md, false, 1, 0, 0) ], ((log0 + adr1 ') + adr2 ') + adr3 ', boolvar ; ri); dent := mkdentry(str, n); p_inode := mkinode (m0, inodenode(inodekey(m0), md2, true, m1, m2, m6 + 1).meta, inodenode(inodekey(m0), md2, true, m1, m2, m6 + 1).directory, inodenode(inodekey(m0), md2, true, m1, m2, m6 + 1).nlink, inodenode(inodekey(m0), md2, true, m1, m2, m6 + 1).nsubdirs, inodenode(inodekey(m0), md2, true, m1, m2, m6 + 1).size); c_inode := mkinode (n, inodenode(inodekey(n), md, false, 1, 0, 0).meta, inodenode(inodekey(n), md, false, 1, 0, 0).directory, inodenode(inodekey(n), md, false, 1, 0, 0).nlink, inodenode(inodekey(n), md, false, 1, 0, 0).nsubdirs, inodenode(inodekey(n), md, false, 1, 0, 0).size)] ( ubifs-cons (fs1[adr1, inodenode(inodekey(m0), md2, true, m1, m2, m6 + 1)][adr2, dentrynode(dentrykey(m0, str), n)] [adr3, inodenode(inodekey(n), md, false, 1, 0, 0) ], ri, ro0, fi, fo, ((log0 + adr1 ') + adr2 ') + adr3 ') ∧ replay-cons-strong (fs1[adr1, inodenode(inodekey(m0), md2, true, m1, m2, m6 + 1)][adr2, dentrynode(dentrykey(m0, str), n)] [adr3, inodenode(inodekey(n), md, false, 1, 0, 0) ], ri, ro0, fi, fo, ((log0 + adr1 ') + adr2 ') + adr3 ') ∧ file-node-cons (fs1[adr1, inodenode(inodekey(m0), md2, true, m1, m2, m6 + 1)][adr2, dentrynode(dentrykey(m0, str), n)] [adr3, inodenode(inodekey(n), md, false, 1, 0, 0) ], ri) ∧ orphans-cons (fs1[adr1, inodenode(inodekey(m0), md2, true, m1, m2, m6 + 1)][adr2, dentrynode(dentrykey(m0, str), n)] [adr3, inodenode(inodekey(n), md, false, 1, 0, 0) ], ri, ro0) ∧ ri-inj(ri) ∧ log-cons (log0, fs1[adr1, inodenode(inodekey(m0), md2, true, m1, m2, m6 + 1)][adr2, dentrynode(dentrykey(m0, str), n)] [adr3, inodenode(inodekey(n), md, false, 1, 0, 0) ]) ∧ m0 ≠ 0 → ⟨old_dent := negdentry(str); p_inode0 := mkinode (m0, md2, true, inodenode(key, md1, true, m1, m2, m6).nlink, inodenode(key, md1, true, m1, m2, m6).nsubdirs, inodenode(key, md1, true, m1, m2, m6).size); afs_create#(md; p_inode0, p_inode1, old_dent, err0, dirs, files; asynced)⟩ ( dirs = abs-dirs (fs1[adr1, inodenode(inodekey(m0), md2, true, m1, m2, m6 + 1)][adr2, dentrynode(dentrykey(m0, str), n)] [adr3, inodenode(inodekey(n), md, false, 1, 0, 0) ], ri) ∧ files = abs-files (fs1[adr1, inodenode(inodekey(m0), md2, true, m1, m2, m6 + 1)][adr2, dentrynode(dentrykey(m0, str), n)] [adr3, inodenode(inodekey(n), md, false, 1, 0, 0) ], ri) ∧ orphans (abs-dirs (fs1[adr1, inodenode(inodekey(m0), md2, true, m1, m2, m6 + 1)][adr2, dentrynode(dentrykey(m0, str), n)] [adr3, inodenode(inodekey(n), md, false, 1, 0, 0) ], ri), abs-files (fs1[adr1, inodenode(inodekey(m0), md2, true, m1, m2, m6 + 1)][adr2, dentrynode(dentrykey(m0, str), n)] [adr3, inodenode(inodekey(n), md, false, 1, 0, 0) ], ri)) = abs-keys(ro0) ∧ (asynced → boolvar) ∧ p_inode = p_inode0 ∧ c_inode = p_inode1 ∧ dent = old_dent ∧ ESUCCESS = err0)), m1 = 0 ∧ m0 ≠ ROOT_INO

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 67:
fs1[ri[inodekey(m0)]] = inodenode(key0, md1, true, m1, m2, m6), adr = adr1, dirs = abs-dirs(fs1, ri), files = abs-files(fs1, ri), fs = fs1[adr1, inodenode(inodekey(m0), md2, true, m1, m2, m6 + 1)][adr2, dentrynode(dentrykey(m0, str), n)] [adr3, inodenode(inodekey(n), md, false, 1, 0, 0) ], key = inodekey(m0), log = ((log0 + adr1 ') + adr2 ') + adr3 ', ri0 = ri, ro = orphans(fs1, ri), ro0 = orphans(fs1, ri), fo.inodes?, orphans(fs1, ri).inodes?, afs-cons(abs-dirs(fs1, ri), abs-files(fs1, ri)), file-node-cons(fs1, ri), log-cons(log0, fs1), orphans-cons(fs1, ri, orphans(fs1, ri)), replay-cons-strong(fs1, ri, orphans(fs1, ri), fi, fo, log0), ri-inj(fi), ri-inj(ri), ubifs-cons(fs1, ri, orphans(fs1, ri), fi, fo, log0), ri[inodekey(m0)] ∈ fs1, inodekey(m0) ∈ ri, asynced → boolvar0, m1 ≠ 0 ∨ m0 = ROOT_INO, links(m0, abs-dirs(fs1, ri)) ≠ ∅ ∨ m0 = ROOT_INO ⊦ [if ¬ adr ∈ ri ∧ adr ∈ fs ∧ key-cons(key, fs[adr]) then ri[key] := adr else abort; aubifs_core_index_store# (dentrykey(m0, str), adr2, fi, orphans(fs1, ri0), fo, fs1[adr1, inodenode(inodekey(m0), md2, true, m1, m2, m6 + 1)][adr2, dentrynode(dentrykey(m0, str), n)] [adr3, inodenode(inodekey(n), md, false, 1, 0, 0) ], ((log0 + adr1 ') + adr2 ') + adr3 ', boolvar ; ri); aubifs_core_index_store# (inodekey(n), adr3, fi, orphans(fs1, ri0), fo, fs1[adr1, inodenode(inodekey(m0), md2, true, m1, m2, m6 + 1)][adr2, dentrynode(dentrykey(m0, str), n)] [adr3, inodenode(inodekey(n), md, false, 1, 0, 0) ], ((log0 + adr1 ') + adr2 ') + adr3 ', boolvar ; ri); dent := mkdentry(str, n); p_inode := mkinode (m0, inodenode(inodekey(m0), md2, true, m1, m2, m6 + 1).meta, inodenode(inodekey(m0), md2, true, m1, m2, m6 + 1).directory, inodenode(inodekey(m0), md2, true, m1, m2, m6 + 1).nlink, inodenode(inodekey(m0), md2, true, m1, m2, m6 + 1).nsubdirs, inodenode(inodekey(m0), md2, true, m1, m2, m6 + 1).size); c_inode := mkinode (n, inodenode(inodekey(n), md, false, 1, 0, 0).meta, inodenode(inodekey(n), md, false, 1, 0, 0).directory, inodenode(inodekey(n), md, false, 1, 0, 0).nlink, inodenode(inodekey(n), md, false, 1, 0, 0).nsubdirs, inodenode(inodekey(n), md, false, 1, 0, 0).size)] ( ubifs-cons (fs1[adr1, inodenode(inodekey(m0), md2, true, m1, m2, m6 + 1)][adr2, dentrynode(dentrykey(m0, str), n)] [adr3, inodenode(inodekey(n), md, false, 1, 0, 0) ], ri, ro0, fi, fo, ((log0 + adr1 ') + adr2 ') + adr3 ') ∧ replay-cons-strong (fs1[adr1, inodenode(inodekey(m0), md2, true, m1, m2, m6 + 1)][adr2, dentrynode(dentrykey(m0, str), n)] [adr3, inodenode(inodekey(n), md, false, 1, 0, 0) ], ri, ro0, fi, fo, ((log0 + adr1 ') + adr2 ') + adr3 ') ∧ file-node-cons (fs1[adr1, inodenode(inodekey(m0), md2, true, m1, m2, m6 + 1)][adr2, dentrynode(dentrykey(m0, str), n)] [adr3, inodenode(inodekey(n), md, false, 1, 0, 0) ], ri) ∧ orphans-cons (fs1[adr1, inodenode(inodekey(m0), md2, true, m1, m2, m6 + 1)][adr2, dentrynode(dentrykey(m0, str), n)] [adr3, inodenode(inodekey(n), md, false, 1, 0, 0) ], ri, ro0) ∧ ri-inj(ri) ∧ log-cons (log0, fs1[adr1, inodenode(inodekey(m0), md2, true, m1, m2, m6 + 1)][adr2, dentrynode(dentrykey(m0, str), n)] [adr3, inodenode(inodekey(n), md, false, 1, 0, 0) ]) ∧ m0 ≠ 0 → ⟨old_dent := negdentry(str); p_inode0 := mkinode (m0, md2, true, inodenode(key0, md1, true, m1, m2, m6).nlink, inodenode(key0, md1, true, m1, m2, m6).nsubdirs, inodenode(key0, md1, true, m1, m2, m6).size); afs_create#(md; p_inode0, p_inode1, old_dent, err0, dirs, files; asynced)⟩ ( dirs = abs-dirs (fs1[adr1, inodenode(inodekey(m0), md2, true, m1, m2, m6 + 1)][adr2, dentrynode(dentrykey(m0, str), n)] [adr3, inodenode(inodekey(n), md, false, 1, 0, 0) ], ri) ∧ files = abs-files (fs1[adr1, inodenode(inodekey(m0), md2, true, m1, m2, m6 + 1)][adr2, dentrynode(dentrykey(m0, str), n)] [adr3, inodenode(inodekey(n), md, false, 1, 0, 0) ], ri) ∧ orphans (abs-dirs (fs1[adr1, inodenode(inodekey(m0), md2, true, m1, m2, m6 + 1)][adr2, dentrynode(dentrykey(m0, str), n)] [adr3, inodenode(inodekey(n), md, false, 1, 0, 0) ], ri), abs-files (fs1[adr1, inodenode(inodekey(m0), md2, true, m1, m2, m6 + 1)][adr2, dentrynode(dentrykey(m0, str), n)] [adr3, inodenode(inodekey(n), md, false, 1, 0, 0) ], ri)) = abs-keys(ro0) ∧ (asynced → boolvar) ∧ p_inode = p_inode0 ∧ c_inode = p_inode1 ∧ dent = old_dent ∧ ESUCCESS = err0)), adr1 = adr3, adr1 = adr2, adr2 = adr3, n = 0, dentrykey(m0, str) ∈ ri, inodekey(n) ∈ fo, inodekey(n) ∈ ri, adr1 ∈ fs1, adr2 ∈ fs1, adr3 ∈ fs1, m1 = 0 ∧ m0 ≠ ROOT_INO

Rule argument

pos: right 1

Additional information

Used simplifier rules: aubifs_core_index_store#(KEY, ADR, FI, RO, FO, FS, LOG, CSYNCED; RI) {if ¬ ADR ∈ RI ∧ ADR ∈ FS ∧ key-cons(KEY, FS[ADR]) then RI[KEY] := ADR else abort };