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Proof step 195 from proof refine-write-inode (previous step)

fs[ri[inodekey(m)]] = inodenode(key, md0, boolvar2, m0, m1, m3), ¬ boolvar0, dirs = abs-dirs(fs, ri), files = abs-files(fs, ri), orphans(fs, ri).inodes?, fo.inodes?, afs-cons(abs-dirs(fs, ri), abs-files(fs, ri)), file-node-cons(fs, ri), log-cons(log, fs), orphans-cons(fs, ri, orphans(fs, ri)), replay-cons-strong(fs, ri, orphans(fs, ri), fi, fo, log), ri-cons(ri, fs), ri-inj(ri), ri-inj(fi), ubifs-cons(fs, ri, orphans(fs, ri), fi, fo, log), inodekey(m) ∈ ri, ri[inodekey(m)] ∈ fs, asynced0 → boolvar1, ∀ adr0. adr0 ∈ fs, ¬ boolvar2 ∧ ¬ boolvar0 ∨ boolvar2 ∧ boolvar0 ∧ m2 = m3, boolvar2 ∧ m2 = m3 ∧ boolvar0 ∨ ¬ boolvar2 ∧ m1 = 0 ∧ ¬ boolvar0 ⊦ ⟨fail#(; ; err); asynced0 := ?⟩ ((asynced0 → boolvar) ∧ ENOSPC = err), m = 0, ∃ asynced. dirs = abs-dirs(fs, ri) ∧ files[m, files[m].meta:= md][m, files[m, files[m].meta:= md][m].size:= m2] = abs-files(fs, ri) ∧ (asynced → boolvar) ∧ ENOSPC = ESUCCESS

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 196:
fs[ri[inodekey(m)]] = inodenode(key, md0, false, m0, 0, m3), m ≠ 0, orphans(fs, ri).inodes?, fo.inodes?, afs-cons(abs-dirs(fs, ri), abs-files(fs, ri)), file-node-cons(fs, ri), log-cons(log, fs), orphans-cons(fs, ri, orphans(fs, ri)), replay-cons-strong(fs, ri, orphans(fs, ri), fi, fo, log), ri-cons(ri, fs), ri-inj(ri), ri-inj(fi), ubifs-cons(fs, ri, orphans(fs, ri), fi, fo, log), inodekey(m) ∈ ri, ri[inodekey(m)] ∈ fs, asynced0 → boolvar1, ∀ adr0. adr0 ∈ fs ⊦ ⟨fail#(; ; err); asynced0 := ?⟩ ((asynced0 → boolvar) ∧ ENOSPC = err)

Rule argument

Additional information

Used simplifier rules: ⊦ ESUCCESS ≠ ENOSPC; (s)% ⊦ files[ino, af][ino, af0] = files[ino, af0]; (s)% ⊦ mkfile(m, md, m0, content).meta:= md0 = mkfile(m, md0, m0, content); (s)%⊦ abs-file(ino, fs, ri) = mkfile (fs[ri[inodekey(ino)]].size, fs[ri[inodekey(ino)]].meta, fs[ri[inodekey(ino)]].nlink, abs-content(ino, fs, ri)); (s)%⊦ inodekey(ino) ∈ ri ∧ ¬ fs[ri[inodekey(ino)]].directory → abs-files(fs, ri)[ino] = abs-file(ino, fs, ri); (s)%⊦ ino ∈ abs-files(fs, ri) ↔ inodekey(ino) ∈ ri ∧ ¬ fs[ri[inodekey(ino)]].directory; (s)% ⊦ files[ino, af][ino0] = (ino0 = ino ∧ ino ∈ files ⊃ af;files[ino0]); (s)