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Proof step 58 from proof refine-write-inode (previous step)

fs0[ri[inodekey(m)]] = inodenode(key, md0, true, m0, m1, m3), orphans(fs0, ri).inodes?, fo.inodes?, afs-cons(abs-dirs(fs0, ri), abs-files(fs0, ri)), afs-cons(abs-dirs(fs0, ri)[m, abs-dirs(fs0, ri)[m].meta:= md], abs-files(fs0, ri)), file-node-cons(fs0, ri), log-cons(log0, fs0), orphans-cons(fs0, ri, orphans(fs0, ri)), replay-cons-strong(fs0, ri, orphans(fs0, ri), fi, fo, log0), ri-cons(ri, fs0), ri-inj(ri), ri-inj(fi), ubifs-cons(fs0, ri, orphans(fs0, ri), fi, fo, log0), inodekey(m) ∈ ri, ri[inodekey(m)] ∈ fs0, dentrykey(m, str) ∈ ri, asynced0 → boolvar1 ⊦ ∃ err0. ⌊err0⌋ ∧ ⟨err := err0; asynced0 := ?⟩ ( abs-dirs(fs0, ri) = abs-dirs(fs0[adr1, inodenode(inodekey(m), md, true, m0, m1, m3)], ri[inodekey(m), adr1]) ∧ abs-files(fs0, ri) = abs-files(fs0[adr1, inodenode(inodekey(m), md, true, m0, m1, m3)], ri[inodekey(m), adr1]) ∧ orphans(fs0[adr1, inodenode(inodekey(m), md, true, m0, m1, m3)], ri[inodekey(m), adr1]) = orphans(fs0, ri) ∧ (asynced0 → boolvar) ∧ ESUCCESS = err), m = 0, adr1 ∈ fs0, (dentrykey(m, str) ∈ ri → dentrykey(m, str) ∈ ri[inodekey(m), adr1]) ∧ ( dentrykey(m, str) ∈ ri[inodekey(m), adr1] → (adr1 = ri[dentrykey(m, str)] ⊃ inodenode(inodekey(m), md, true, m0, m1, m3);fs0[ri[dentrykey(m, str)]]).ino = fs0[ri[dentrykey(m, str)]].ino)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 59:
fs0[ri[inodekey(m)]] = inodenode(key, md0, true, m0, m1, m3), (adr1 = ri[dentrykey(m, str)] ⊃ inodenode(inodekey(m), md, true, m0, m1, m3);fs0[ri[dentrykey(m, str)]]).ino ≠ fs0[ri[dentrykey(m, str)]].ino, m ≠ 0, orphans(fs0, ri).inodes?, fo.inodes?, afs-cons(abs-dirs(fs0, ri), abs-files(fs0, ri)), afs-cons(abs-dirs(fs0, ri)[m, abs-dirs(fs0, ri)[m].meta:= md], abs-files(fs0, ri)), file-node-cons(fs0, ri), log-cons(log0, fs0), orphans-cons(fs0, ri, orphans(fs0, ri)), replay-cons-strong(fs0, ri, orphans(fs0, ri), fi, fo, log0), ri-cons(ri, fs0), ri-inj(ri), ri-inj(fi), ubifs-cons(fs0, ri, orphans(fs0, ri), fi, fo, log0), inodekey(m) ∈ ri, ri[inodekey(m)] ∈ fs0, dentrykey(m, str) ∈ ri, ¬ adr1 ∈ fs0, asynced0 → boolvar1 ⊦ ∃ err0. ⌊err0⌋ ∧ ⟨err := err0; asynced0 := ?⟩ ( abs-dirs(fs0, ri) = abs-dirs(fs0[adr1, inodenode(inodekey(m), md, true, m0, m1, m3)], ri[inodekey(m), adr1]) ∧ abs-files(fs0, ri) = abs-files(fs0[adr1, inodenode(inodekey(m), md, true, m0, m1, m3)], ri[inodekey(m), adr1]) ∧ orphans(fs0[adr1, inodenode(inodekey(m), md, true, m0, m1, m3)], ri[inodekey(m), adr1]) = orphans(fs0, ri) ∧ (asynced0 → boolvar) ∧ ESUCCESS = err)

Rule argument

Additional information

Used simplifier rules: in-ri-dentry-inode: ⊦ dentrykey(ino, str) ∈ ri[inodekey(ino), adr] ↔ dentrykey(ino, str) ∈ ri;% ⊦ inodekey(m) ≠ dentrykey(m0, str); (s)% ⊦ key ∈ ri[key0, adr] ↔ key = key0 ∨ key ∈ ri; (ws)%ubifs-parent-in: ⊦ dentrykey(ino, str) ∈ ri ∧ ubifs-cons(fs, ri, ro, fi, fo, log) → inodekey(ino) ∈ ri; (forward) from specification aubifs-inv