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Proof step 891 from proof refine-truncate (previous step)

boolvar ↔ boolvar2, fs0[ri0[inodekey(m)]] = inodenode(key0, md0, false, m1, 0, m4), buf-opt = buf-opt0, buf-opt1 = buf-opt0, dirs = abs-dirs(fs0, ri0), err = err1, files = abs-files(fs0, ri0), inode = p_inode, n = n0, p_inode = mkinode(m, md, false, m1, 0, m2), pageno = 0, pageno0 = 0, pageno1 = m2 / VFS_PAGE_SIZE, orphans(fs0, ri0).inodes?, fo.inodes?, afs-cons(abs-dirs(fs0, ri0), abs-files(fs0, ri0)), file-node-cons (fs0[adr1, truncnode(inodekey(m), m2)][adr2, inodenode(inodekey(m), md, false, m1, 0, n0)], ri0[inodekey(m), adr2] \ datakeys(inodekey(m), m2, ri0[inodekey(m), adr2])), file-node-cons(fs0, ri0), log-cons(log0, fs0), orphans-cons (fs0[adr1, truncnode(inodekey(m), m2)][adr2, inodenode(inodekey(m), md, false, m1, 0, n0)], ri0[inodekey(m), adr2] \ datakeys(inodekey(m), m2, ri0[inodekey(m), adr2]), orphans(fs0, ri0)), orphans-cons(fs0, ri0, orphans(fs0, ri0)), pre-truncate(inode, n, pageno1, buf-opt, dirs, files), replay-cons-strong (fs0[adr1, truncnode(inodekey(m), m2)][adr2, inodenode(inodekey(m), md, false, m1, 0, n0)], ri0[inodekey(m), adr2] \ datakeys(inodekey(m), 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), m2, ri0[inodekey(m), adr2])), ri-inj(ri0), ri-inj(fi), ubifs-cons (fs0[adr1, truncnode(inodekey(m), m2)][adr2, inodenode(inodekey(m), md, false, m1, 0, n0)], ri0[inodekey(m), adr2] \ datakeys(inodekey(m), m2, ri0[inodekey(m), adr2]), orphans(fs0, ri0), fi, fo, (log0 + adr1 ') + adr2 '), ubifs-cons(fs0, ri0, orphans(fs0, ri0), fi, fo, log0), inodekey(m) ∈ ri0, ri0[inodekey(m)] ∈ fs0, m2 ≤ n0, asynced → boolvar0 ⊦ ⟨afs_truncate_internal#(n, pageno1; inode, buf-opt, pageno0, pageno, boolvar, err, dirs, files; asynced)⟩ ( afs-cons(dirs, files) → dirs = abs-dirs(fs0[adr1, truncnode(inodekey(m), m2)][adr2, inodenode(inodekey(m), md, false, m1, 0, n0)], ri0[inodekey(m), adr2]) ∧ files = abs-files (fs0[adr1, truncnode(inodekey(m), m2)][adr2, inodenode(inodekey(m), md, false, m1, 0, n0)], ri0[inodekey(m), adr2] \ datakeys(inodekey(m), m2, ri0[inodekey(m), adr2])) ∧ orphans (abs-dirs(fs0[adr1, truncnode(inodekey(m), m2)][adr2, inodenode(inodekey(m), md, false, m1, 0, n0)], ri0[inodekey(m), adr2]), abs-files(fs0[adr1, truncnode(inodekey(m), m2)][adr2, inodenode(inodekey(m), md, false, m1, 0, n0)], ri0[inodekey(m), adr2])) = abs-keys(orphans(fs0, ri0)) ∧ (asynced → boolvar4) ∧ buf-opt1 = buf-opt ∧ mkinode(m, md, false, m1, 0, n0) = inode ∧ ¬ boolvar ∧ ESUCCESS = err), m2 % VFS_PAGE_SIZE = 0, VFS_PAGE_SIZE = 0, adr1 = adr2, m = 0, buf-opt0.some?, adr2 ∈ fs0, adr1 ∈ fs0, datakey(m, m2 / VFS_PAGE_SIZE) ∈ ri0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 892:
fs0[ri0[inodekey(m)]] = inodenode(key0, md0, false, m1, 0, m4), buf-opt = buf-opt0, dirs = abs-dirs(fs0, ri0), files = abs-files(fs0, ri0), inode = mkinode(m, md, false, m1, 0, m2), pageno = 0, pageno0 = 0, m2 % VFS_PAGE_SIZE ≠ 0, adr1 ≠ adr2, m ≠ 0, orphans(fs0, ri0).inodes?, fo.inodes?, afs-cons(abs-dirs(fs0, ri0), abs-files(fs0, ri0)), file-node-cons (fs0[adr1, truncnode(inodekey(m), m2)][adr2, inodenode(inodekey(m), md, false, m1, 0, n0)], ri0[inodekey(m), adr2] \ datakeys(inodekey(m), m2, ri0[inodekey(m), adr2])), file-node-cons(fs0, ri0), log-cons(log0, fs0), orphans-cons (fs0[adr1, truncnode(inodekey(m), m2)][adr2, inodenode(inodekey(m), md, false, m1, 0, n0)], ri0[inodekey(m), adr2] \ datakeys(inodekey(m), m2, ri0[inodekey(m), adr2]), orphans(fs0, ri0)), orphans-cons(fs0, ri0, orphans(fs0, ri0)), replay-cons-strong (fs0[adr1, truncnode(inodekey(m), m2)][adr2, inodenode(inodekey(m), md, false, m1, 0, n0)], ri0[inodekey(m), adr2] \ datakeys(inodekey(m), 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), m2, ri0[inodekey(m), adr2])), ri-inj(ri0), ri-inj(fi), ubifs-cons (fs0[adr1, truncnode(inodekey(m), m2)][adr2, inodenode(inodekey(m), md, false, m1, 0, n0)], ri0[inodekey(m), adr2] \ datakeys(inodekey(m), m2, ri0[inodekey(m), adr2]), orphans(fs0, ri0), fi, fo, (log0 + adr1 ') + adr2 '), ubifs-cons(fs0, ri0, orphans(fs0, ri0), fi, fo, log0), inodekey(m) ∈ ri0, ri0[inodekey(m)] ∈ fs0, m2 ≤ n0, ¬ buf-opt0.some?, ¬ adr2 ∈ fs0, ¬ adr1 ∈ fs0, ¬ datakey(m, m2 / VFS_PAGE_SIZE) ∈ ri0, asynced → boolvar0 ⊦ ⟨afs_truncate_internal#(n0, m2 / VFS_PAGE_SIZE; inode, buf-opt, pageno0, pageno, boolvar, err, dirs, files; asynced)⟩ ( afs-cons(dirs, files) → dirs = abs-dirs(fs0[adr1, truncnode(inodekey(m), m2)][adr2, inodenode(inodekey(m), md, false, m1, 0, n0)], ri0[inodekey(m), adr2]) ∧ files = abs-files (fs0[adr1, truncnode(inodekey(m), m2)][adr2, inodenode(inodekey(m), md, false, m1, 0, n0)], ri0[inodekey(m), adr2] \ datakeys(inodekey(m), m2, ri0[inodekey(m), adr2])) ∧ orphans (abs-dirs(fs0[adr1, truncnode(inodekey(m), m2)][adr2, inodenode(inodekey(m), md, false, m1, 0, n0)], ri0[inodekey(m), adr2]), abs-files(fs0[adr1, truncnode(inodekey(m), m2)][adr2, inodenode(inodekey(m), md, false, m1, 0, n0)], ri0[inodekey(m), adr2])) = abs-keys(orphans(fs0, ri0)) ∧ (asynced → boolvar4) ∧ buf-opt0 = buf-opt ∧ mkinode(m, md, false, m1, 0, n0) = inode ∧ ¬ boolvar ∧ ESUCCESS = err)

Rule argument

Additional information

Used simplifier rules: ⊦ inodenode(key, md, boolvar, m, m0, m1).directory ↔ boolvar; (s)% ⊦ inodenode(key, md, boolvar, m, m0, m1).nlink = m; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).size = m2; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).directory ↔ boolvar; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).nsubdirs = m1; (s)% ⊦ mkfile(m, md, m0, content).nlink = m0; (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)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).nlink = m0; (s)%⊦ ino ∈ abs-files(fs, ri) ↔ inodekey(ino) ∈ ri ∧ ¬ fs[ri[inodekey(ino)]].directory; (s)% ⊦ valid-file-ino(ino, dirs, files) ↔ ino ∈ files; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).ino = m; (s)%⊦ valid-file-inode(inode, dirs, files) ↔ valid-file-ino(inode.ino, dirs, files) ∧ inode.nlink = files[inode.ino].nlink ∧ inode.nsubdirs = 0 ∧ ¬ inode.directory; (s)%⊦ pre-truncate(inode, n, pageno, buf-opt, dirs, files) ↔ valid-file-inode(inode, dirs, files) ∧ pageno = inode.size / VFS_PAGE_SIZE ∧ (buf-opt.some? → # buf-opt.buf = VFS_PAGE_SIZE); (s)% ⊦ VFS_PAGE_SIZE ≠ 0; (s)