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Proof step 1271 from proof refine-truncate (previous step)

boolvar ↔ m2 ≤ n0 ∧ pageno0 ≠ 0 ∧ (m2 / VFS_PAGE_SIZE ∈ content ∨ buf-opt0.some?), abs-files(fs0, ri0)[m] = mkfile(m1, md1, m4, content0), fs0[ri0[inodekey(m)]] = inodenode(key, md0, false, m0, 0, m3), boolvar, buf-opt = buf-opt0, content = content0, files = abs-files(fs0, ri0), ino = m, pageno = min(n0, m2), pageno0 = m2 % VFS_PAGE_SIZE, pageno1 = m2 / VFS_PAGE_SIZE, orphans(fs0, ri0).inodes?, fo.inodes?, buf-opt.some?, afs-cons(abs-dirs(fs0, ri0), abs-files(fs0, ri0)), file-node-cons (fs0[adr1, truncnode(inodekey(m), min(n0, m2))][adr2, inodenode(inodekey(m), md, false, m0, 0, n0)], ri0[inodekey(m), adr2] \ datakeys(inodekey(m), min(n0, m2), ri0[inodekey(m), adr2])), file-node-cons(fs0, ri0), log-cons(log0, fs0), orphans-cons (fs0[adr1, truncnode(inodekey(m), min(n0, m2))][adr2, inodenode(inodekey(m), md, false, m0, 0, n0)], ri0[inodekey(m), adr2] \ datakeys(inodekey(m), min(n0, m2), ri0[inodekey(m), adr2]), orphans(fs0, ri0)), orphans-cons(fs0, ri0, orphans(fs0, ri0)), replay-cons-strong (fs0[adr1, truncnode(inodekey(m), min(n0, m2))][adr2, inodenode(inodekey(m), md, false, m0, 0, n0)], ri0[inodekey(m), adr2] \ datakeys(inodekey(m), min(n0, m2), ri0[inodekey(m), adr2]), orphans(fs0, ri0), fi, fo, (log0 + adr1 ') + adr2 '), replay-cons-strong(fs0, ri0, orphans(fs0, ri0), fi, fo, log0), ri-inj(ri0[inodekey(m), adr2] \ datakeys(inodekey(m), min(n0, m2), ri0[inodekey(m), adr2])), ri-inj(ri0), ri-inj(fi), ubifs-cons (fs0[adr1, truncnode(inodekey(m), min(n0, m2))][adr2, inodenode(inodekey(m), md, false, m0, 0, n0)], ri0[inodekey(m), adr2] \ datakeys(inodekey(m), min(n0, m2), ri0[inodekey(m), adr2]), orphans(fs0, ri0), fi, fo, (log0 + adr1 ') + adr2 '), ubifs-cons(fs0, ri0, orphans(fs0, ri0), fi, fo, log0), ri0[inodekey(m)] ∈ fs0, inodekey(m) ∈ ri0, m2 ≤ n0 → pageno0 ≠ 0 → VFS_PAGE_SIZE ≠ 0, asynced → boolvar0, buf-opt0.some? → # buf-opt0.buf = VFS_PAGE_SIZE ⊦ ⟨buf := buf-opt.buf; buf := fill(buf, zero, pageno0, VFS_PAGE_SIZE - pageno0); content[pageno1] := buf; buf-opt := some(buf); files[ino].content := content upto pageno; let new_inode = mkinode(m, md, false, m0, 0, m2) in {new_inode.size := n0; dirs := abs-dirs(fs0, ri0); afs_inode_sync#(new_inode; dirs, files)}; inode := (m ∈ dirs ⊃ mkinode(m, dirs[m].meta, true, dirs[m].nlink, dirs[m].nsubdirs, dirs[m].size) ;mkinode(m, files[m].meta, false, files[m].nlink, 0, files[m].size) ); err := ESUCCESS; asynced := ?⟩ ( afs-cons(dirs, files) → dirs = abs-dirs(fs0[adr1, truncnode(inodekey(m), min(n0, m2))][adr2, inodenode(inodekey(m), md, false, m0, 0, n0)], ri0[inodekey(m), adr2]) ∧ files = abs-files (fs0[adr1, truncnode(inodekey(m), min(n0, m2))][adr2, inodenode(inodekey(m), md, false, m0, 0, n0)], ri0[inodekey(m), adr2] \ datakeys(inodekey(m), min(n0, m2), ri0[inodekey(m), adr2])) ∧ orphans (abs-dirs(fs0[adr1, truncnode(inodekey(m), min(n0, m2))][adr2, inodenode(inodekey(m), md, false, m0, 0, n0)], ri0[inodekey(m), adr2]), abs-files(fs0[adr1, truncnode(inodekey(m), min(n0, m2))][adr2, inodenode(inodekey(m), md, false, m0, 0, n0)], ri0[inodekey(m), adr2])) = abs-keys(orphans(fs0, ri0)) ∧ (asynced → boolvar4) ∧ buf-opt0 = buf-opt ∧ mkinode(m, md, false, m0, 0, n0) = inode ∧ ¬ boolvar ∧ ESUCCESS = err), VFS_PAGE_SIZE = 0, adr1 = adr2, m = 0, adr2 ∈ fs0, adr1 ∈ fs0, m2 ≤ n0 ∧ m2 % VFS_PAGE_SIZE ≠ 0

Heuristic symbolic execution applied rule assign right

And closed the goal!

Rule argument

Additional information

Used simplifier rules: ⊦ VFS_PAGE_SIZE ≠ 0; (s)% ⊦ n0 ≤ n1 → min(n0, n1) = n0; (s)%min-comm: ⊦ min(n0, n1) = min(n1, n0); from specification min-max