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Proof step 31 from proof refine-readpage (previous step)

# buf0 = VFS_PAGE_SIZE, fs[ri[datakey(m, pageno)]] = datanode(key, buf1), buf = buf0, buf2 = buf0, dirs = abs-dirs(fs, ri), err = err1, files = abs-files(fs, ri), inode = mkinode(m, md, boolvar1, m0, m1, m2), 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, buf2, 0, VFS_PAGE_SIZE) = buf ∧ ESUCCESS = err), ⟨if pageno ∈ files[inode.ino].content then buf := files[inode.ino].content[pageno] else buf := zeropage; err := ESUCCESS⟩ ((asynced → boolvar2) ∧ copy(buf1, 0, buf2, 0, VFS_PAGE_SIZE) = buf ∧ ESUCCESS = err), fs[ri[inodekey(m)]].directory

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 32:
# 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)

Rule argument

Additional information

Used simplifier rules: ⊦ inodekey(ino) ∈ ri ∧ ¬ fs[ri[inodekey(ino)]].directory → abs-files(fs, ri)[ino] = abs-file(ino, fs, ri); (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).ino = m; (s)