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Proof step 32 from proof refine-readpage (previous step)

# buf0 = VFS_PAGE_SIZE, fs[ri[datakey(m, pageno)]] = datanode(key, buf1), 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-inj(ri), ri-inj(fi), ubifs-cons(fs, ri, orphans(fs, ri), fi, fo, log), inodekey(m) ∈ ri, datakey(m, pageno) ∈ ri, ri[datakey(m, pageno)] ∈ fs, ¬ fs[ri[inodekey(m)]].directory, asynced → boolvar2 ⊦ ⟨fail#(; ; err)⟩ ((asynced → boolvar2) ∧ copy(buf1, 0, buf0, 0, VFS_PAGE_SIZE) = buf0 ∧ ESUCCESS = err), ⟨if pageno ∈ abs-file(m, fs, ri).content then buf := abs-file(m, fs, ri).content[pageno] else buf := zeropage; err := ESUCCESS⟩ ((asynced → boolvar2) ∧ copy(buf1, 0, buf0, 0, VFS_PAGE_SIZE) = buf ∧ ESUCCESS = err)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 33:
# buf0 = VFS_PAGE_SIZE, fs[ri[datakey(m, pageno)]] = datanode(key, buf1), abs-file(m, fs, ri) = mkfile(m0, md, m1, content), fo.inodes?, orphans(fs, ri).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-inj(fi), ri-inj(ri), ubifs-cons(fs, ri, orphans(fs, ri), fi, fo, log), ri[datakey(m, pageno)] ∈ fs, datakey(m, pageno) ∈ ri, inodekey(m) ∈ ri, asynced → boolvar2 ⊦ ⟨fail#(; ; err)⟩ ((asynced → boolvar2) ∧ copy(buf1, 0, buf0, 0, VFS_PAGE_SIZE) = buf0 ∧ ESUCCESS = err), ⟨if pageno ∈ content then buf := content[pageno] else buf := zeropage; err := ESUCCESS⟩ ((asynced → boolvar2) ∧ copy(buf1, 0, buf0, 0, VFS_PAGE_SIZE) = buf ∧ ESUCCESS = err), fs[ri[inodekey(m)]].directory

Rule argument

spec: abstract-file name: elim seq: ⊦ ((m = af.size ∧ md = af.meta) ∧ m0 = af.nlink) ∧ content = af.content ↔ af = mkfile(m, md, m0, content) subst: [af, m, md, m0, content] → [abs-file(m, fs, ri), m0, md, m1, content]

Additional information

Used simplifier rules: ⊦ ((m = af.size ∧ md = af.meta) ∧ m0 = af.nlink) ∧ content = af.content ↔ af = mkfile(m, md, m0, content); (elim) Used terms: abs-file(m, fs, ri), m0, md, m1, content