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Proof step 217 from proof eq-io-truncate (previous step)

boolvar ↔ m2 ≤ n0 ∧ pageno0 ≠ 0 ∧ (m2 / VFS_PAGE_SIZE ∈ content ∨ buf-opt0.some?), files1[m] = mkfile(m0, md0, m1, content0), ¬ boolvar, buf-opt = buf-opt0, content = content0, dirs0 = dirs1, files = files1[ino, files1[ino].content:= (content upto pageno)], ino = m, new_inode = mkinode(m, md, false, m1, 0, m2), pageno = min(n0, m2), pageno0 = m2 % VFS_PAGE_SIZE, m ∈ files1, buf-opt0.some? → # buf-opt0.buf = VFS_PAGE_SIZE, m2 ≤ n0 → pageno0 ≠ 0 → VFS_PAGE_SIZE ≠ 0 ⊦ ⟨afs_inode_sync#(new_inode.size:= n0; dirs1, files); inode := (m ∈ dirs1 ⊃ mkinode(m, dirs1[m].meta, true, dirs1[m].nlink, dirs1[m].nsubdirs, dirs1[m].size) ;mkinode(m, files[m].meta, false, files[m].nlink, 0, files[m].size) ); err := ESUCCESS; asynced := ?⟩ ( buf-opt = buf-opt0 ∧ inode = (m ∈ dirs0 ⊃ mkinode(m, dirs0[m].meta, true, dirs0[m].nlink, dirs0[m].nsubdirs, dirs0[m].size);mkinode(m, md, false, m1, 0, n0)) ∧ ¬ boolvar ∧ err = ESUCCESS ∧ dirs1 = dirs0 ∧ files = files1[m, mkfile(n0, md, m1, content0 upto min(n0, m2))]), VFS_PAGE_SIZE = 0, m2 ≤ n0 ∧ m2 % VFS_PAGE_SIZE ≠ 0 ∧ (m2 / VFS_PAGE_SIZE ∈ content0 ∨ buf-opt0.some?)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 218:
files1[m] = mkfile(m0, md0, m1, content0), dirs0 = dirs1, files = files1[m, mkfile(m0, md0, m1, content0 upto min(n0, m2))], m ∈ files1, buf-opt0.some? → # buf-opt0.buf = VFS_PAGE_SIZE ⊦ ⟨afs_inode_sync#(mkinode(m, md, false, m1, 0, n0); dirs1, files); inode := (m ∈ dirs1 ⊃ mkinode(m, dirs1[m].meta, true, dirs1[m].nlink, dirs1[m].nsubdirs, dirs1[m].size) ;mkinode(m, files[m].meta, false, files[m].nlink, 0, files[m].size) ); err := ESUCCESS; asynced := ?⟩ ( inode = (m ∈ dirs0 ⊃ mkinode(m, dirs0[m].meta, true, dirs0[m].nlink, dirs0[m].nsubdirs, dirs0[m].size);mkinode(m, md, false, m1, 0, n0)) ∧ err = ESUCCESS ∧ dirs1 = dirs0 ∧ files = files1[m, mkfile(n0, md, m1, content0 upto min(n0, m2))]), m2 ≤ n0 ∧ m2 % VFS_PAGE_SIZE ≠ 0 ∧ (m2 / VFS_PAGE_SIZE ∈ content0 ∨ buf-opt0.some?)

Rule argument

Additional information

Used simplifier rules: ⊦ mkfile(m, md, m0, content).content:= content0 = mkfile(m, md, m0, content0); (s)%⊦ mkinode(m, md, boolvar, m0, m1, m2).size:= m6 = mkinode(m, md, boolvar, m0, m1, m6); (s)% ⊦ VFS_PAGE_SIZE ≠ 0; (s)