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Proof step 38 from proof refine-write-inode (previous step)

fs0[ri[inodekey(m)]] = inodenode(key, md0, boolvar2, m0, m1, m3), dirs = abs-dirs(fs0, ri), files = abs-files(fs0, ri), fs0[ri[inodekey(m)]].inode?, 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), ri[inodekey(m)] ∈ fs0, inodekey(m) ∈ ri, asynced → boolvar1, boolvar2 ∧ m2 = m3 ∧ boolvar0 ∨ ¬ boolvar2 ∧ m1 = 0 ∧ ¬ boolvar0, ¬ boolvar2 ∧ ¬ boolvar0 ∨ boolvar2 ∧ boolvar0 ∧ m2 = m3 ⊦ ⟨fail#(; ; err); asynced := ?⟩ ( abs-dirs(fs0, ri) = abs-dirs(fs0[adr1, inodenode(inodekey(m), md, boolvar0, m0, m1, m2)], ri[inodekey(m), adr1]) ∧ abs-files(fs0, ri) = abs-files(fs0[adr1, inodenode(inodekey(m), md, boolvar0, m0, m1, m2)], ri[inodekey(m), adr1]) ∧ orphans(fs0[adr1, inodenode(inodekey(m), md, boolvar0, m0, m1, m2)], ri[inodekey(m), adr1]) = orphans(fs0, ri) ∧ (asynced → boolvar) ∧ ESUCCESS = err), ⟨if boolvar0 then dirs[m].meta := md else {files[m].meta := md; files[mkinode(m, md, boolvar0, m0, m1, m2).ino].size := mkinode(m, md, boolvar0, m0, m1, m2).size}; err := ESUCCESS; asynced := ?⟩ ( afs-cons(dirs, files) → dirs = abs-dirs(fs0[adr1, inodenode(inodekey(m), md, boolvar0, m0, m1, m2)], ri[inodekey(m), adr1]) ∧ files = abs-files(fs0[adr1, inodenode(inodekey(m), md, boolvar0, m0, m1, m2)], ri[inodekey(m), adr1]) ∧ orphans(fs0[adr1, inodenode(inodekey(m), md, boolvar0, m0, m1, m2)], ri[inodekey(m), adr1]) = orphans(fs0, ri) ∧ (asynced → boolvar) ∧ ESUCCESS = err), m = 0, adr1 ∈ fs0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 39:
fs0[ri[inodekey(m)]] = inodenode(key, md0, boolvar2, m0, m1, m3), dirs = abs-dirs(fs0, ri), files = abs-files(fs0, ri), m ≠ 0, 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), ri[inodekey(m)] ∈ fs0, inodekey(m) ∈ ri, ¬ adr1 ∈ fs0, asynced → boolvar1, boolvar2 ∧ m2 = m3 ∧ boolvar0 ∨ ¬ boolvar2 ∧ m1 = 0 ∧ ¬ boolvar0, ¬ boolvar2 ∧ ¬ boolvar0 ∨ boolvar2 ∧ boolvar0 ∧ m2 = m3 ⊦ ⟨if boolvar0 then dirs[m].meta := md else {files[m].meta := md; files[m].size := m2}; err := ESUCCESS; asynced := ?⟩ ( afs-cons(dirs, files) → dirs = abs-dirs(fs0[adr1, inodenode(inodekey(m), md, boolvar0, m0, m1, m2)], ri[inodekey(m), adr1]) ∧ files = abs-files(fs0[adr1, inodenode(inodekey(m), md, boolvar0, m0, m1, m2)], ri[inodekey(m), adr1]) ∧ orphans(fs0[adr1, inodenode(inodekey(m), md, boolvar0, m0, m1, m2)], ri[inodekey(m), adr1]) = orphans(fs0, ri) ∧ (asynced → boolvar) ∧ ESUCCESS = err), ⟨fail#(; ; err); asynced := ?⟩ ( abs-dirs(fs0, ri) = abs-dirs(fs0[adr1, inodenode(inodekey(m), md, boolvar0, m0, m1, m2)], ri[inodekey(m), adr1]) ∧ abs-files(fs0, ri) = abs-files(fs0[adr1, inodenode(inodekey(m), md, boolvar0, m0, m1, m2)], ri[inodekey(m), adr1]) ∧ orphans(fs0[adr1, inodenode(inodekey(m), md, boolvar0, m0, m1, m2)], ri[inodekey(m), adr1]) = orphans(fs0, ri) ∧ (asynced → boolvar) ∧ ESUCCESS = err)

Rule argument

Additional information

Used simplifier rules: ⊦ inodenode(key, md, boolvar, m, m0, m1).inode?; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).size = m2; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).ino = m; (s)