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Proof step 20 from proof refine-write-inode (previous step)

dirs = abs-dirs(fs0, ri), files = abs-files(fs0, ri), ro = orphans(fs0, ri), m ≠ 0, orphans(fs0, ri).inodes?, fo.inodes?, afs-cons(abs-dirs(fs0, ri), 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), ¬ adr1 ∈ fs0, fs0[(∅)[inodekey(m)]].nlink = 0 ∧ m ≠ ROOT_INO → inodekey(m) ∈ ri, asynced → boolvar1, inodekey(m) ∈ ri ∧ ¬ fs0[ri[inodekey(m)]].directory ∧ ¬ boolvar0 ∧ m0 = fs0[ri[inodekey(m)]].nlink ∧ m1 = fs0[ri[inodekey(m)]].nsubdirs ∨ inodekey(m) ∈ ri ∧ fs0[ri[inodekey(m)]].directory ∧ boolvar0 ∧ m0 = fs0[ri[inodekey(m)]].nlink ∧ m1 = fs0[ri[inodekey(m)]].nsubdirs ∧ m2 = fs0[ri[inodekey(m)]].size, inodekey(m) ∈ ri ∧ fs0[ri[inodekey(m)]].directory ∧ m0 = fs0[ri[inodekey(m)]].nlink ∧ m2 = fs0[ri[inodekey(m)]].size ∧ m1 = fs0[ri[inodekey(m)]].nsubdirs ∧ boolvar0 ∨ inodekey(m) ∈ ri ∧ ¬ fs0[ri[inodekey(m)]].directory ∧ m0 = fs0[ri[inodekey(m)]].nlink ∧ m1 = 0 ∧ ¬ boolvar0 ⊦ ⟪aubifs_core_index_store# (inodekey(m), adr1, fi, orphans(fs0, ri), fo, fs0[adr1, inodenode(inodekey(m), md, boolvar0, m0, m1, m2)], log0 + adr1 ', boolvar; ri)⟫ ⟨afs_write_inode#(mkinode(m, md, boolvar0, m0, m1, m2); err0, dirs, files; asynced)⟩ ( dirs = abs-dirs(fs0[adr1, inodenode(inodekey(m), md, boolvar0, m0, m1, m2)], ri) ∧ files = abs-files(fs0[adr1, inodenode(inodekey(m), md, boolvar0, m0, m1, m2)], ri) ∧ orphans (abs-dirs(fs0[adr1, inodenode(inodekey(m), md, boolvar0, m0, m1, m2)], ri), abs-files(fs0[adr1, inodenode(inodekey(m), md, boolvar0, m0, m1, m2)], ri)) = abs-keys(ro) ∧ (asynced → boolvar) ∧ ESUCCESS = err0)

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 21:
adr = adr1, dirs = abs-dirs(fs0, ri), files = abs-files(fs0, ri), fs = fs0[adr1, inodenode(inodekey(m), md, boolvar0, m0, m1, m2)], key = inodekey(m), log = log0 + adr1 ', ro = orphans(fs0, ri), ro0 = orphans(fs0, ri), fo.inodes?, orphans(fs0, ri).inodes?, afs-cons(abs-dirs(fs0, ri), 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(fi), ri-inj(ri), ubifs-cons(fs0, ri, orphans(fs0, ri), fi, fo, log0), asynced → boolvar1, fs0[(∅)[inodekey(m)]].nlink = 0 ∧ m ≠ ROOT_INO → inodekey(m) ∈ ri, inodekey(m) ∈ ri ∧ fs0[ri[inodekey(m)]].directory ∧ m0 = fs0[ri[inodekey(m)]].nlink ∧ m2 = fs0[ri[inodekey(m)]].size ∧ m1 = fs0[ri[inodekey(m)]].nsubdirs ∧ boolvar0 ∨ inodekey(m) ∈ ri ∧ ¬ fs0[ri[inodekey(m)]].directory ∧ m0 = fs0[ri[inodekey(m)]].nlink ∧ m1 = 0 ∧ ¬ boolvar0, inodekey(m) ∈ ri ∧ ¬ fs0[ri[inodekey(m)]].directory ∧ ¬ boolvar0 ∧ m0 = fs0[ri[inodekey(m)]].nlink ∧ m1 = fs0[ri[inodekey(m)]].nsubdirs ∨ inodekey(m) ∈ ri ∧ fs0[ri[inodekey(m)]].directory ∧ boolvar0 ∧ m0 = fs0[ri[inodekey(m)]].nlink ∧ m1 = fs0[ri[inodekey(m)]].nsubdirs ∧ m2 = fs0[ri[inodekey(m)]].size ⊦ ⟪if ¬ adr ∈ ri ∧ adr ∈ fs ∧ key-cons(key, fs[adr]) then ri[key] := adr else abort⟫ ⟨afs_write_inode#(mkinode(m, md, boolvar0, m0, m1, m2); err0, dirs, files; asynced)⟩ ( dirs = abs-dirs(fs0[adr1, inodenode(inodekey(m), md, boolvar0, m0, m1, m2)], ri) ∧ files = abs-files(fs0[adr1, inodenode(inodekey(m), md, boolvar0, m0, m1, m2)], ri) ∧ orphans (abs-dirs(fs0[adr1, inodenode(inodekey(m), md, boolvar0, m0, m1, m2)], ri), abs-files(fs0[adr1, inodenode(inodekey(m), md, boolvar0, m0, m1, m2)], ri)) = abs-keys(ro0) ∧ (asynced → boolvar) ∧ ESUCCESS = err0), m = 0, adr1 ∈ fs0

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 };