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Proof step 13 from proof refine-truncate (previous step)

boolvar1 ↔ boolvar3, boolvar0 ↔ boolvar, boolvar3 ↔ boolvar2, 0 = fs[ri[inodekey(m)]].nsubdirs, buf-opt = buf-opt0, dirs = abs-dirs(fs, ri), err = err0, files = abs-files(fs, ri), inode = mkinode(m, md, false, fs[ri[inodekey(m)]].nlink, 0, m2), m0 = fs[ri[inodekey(m)]].nlink, pageno1 = m2 / VFS_PAGE_SIZE, ro = orphans(fs, ri), ro0 = orphans(fs, ri), 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, asynced → boolvar, buf-opt0.some? → # buf-opt0.buf = VFS_PAGE_SIZE ⊦ [if pre-truncate(inode, n, pageno1, buf-opt, fs, ri, ro) then choose adr1, adr0, adr, boolvar with true in let key1 = inodekey(inode.ino), key0 = inodekey(inode.ino), pageno0 = inode.size % VFS_PAGE_SIZE, pageno = min(n, inode.size) in let key = datakey(inode.ino, pageno1), nd1 = truncnode(key1, pageno), nd0 = inodenode(key0, inode.meta, inode.directory, inode.nlink, inode.nsubdirs, n), nd = ? in {if inode.size ≤ n ∧ pageno0 ≠ 0 then if buf-opt.some? then {nd := datanode(key, buf-opt.buf); boolvar := true, err := ESUCCESS} else aubifs_core_index_lookup#(key, ri, fi, ro, fo, fs, log, boolvar0; boolvar, nd; err) else boolvar := false, err := ESUCCESS; if err = ESUCCESS then if boolvar then {nd.data := fill(nd.data, zero, pageno0, VFS_PAGE_SIZE - pageno0); aubifs_core_journal_add3#(nd1, nd0, nd, ri, fi, ro, fo; adr1, adr0, adr, fs, log; boolvar0, err); if err = ESUCCESS then aubifs_core_index_store#(key, adr, fi, ro, fo, fs, log, boolvar0; ri)} else aubifs_core_journal_add2#(nd1, nd0, ri, fi, ro, fo; adr1, adr0, fs, log; boolvar0, err); if err = ESUCCESS then {aubifs_core_index_store#(key0, adr0, fi, ro, fo, fs, log, boolvar0; ri); aubifs_core_index_truncate#(key1, pageno, fi, ro, fo, fs, log, boolvar0; ri); boolvar1 := boolvar; inode := mkinode(inode.ino, nd0.meta, nd0.directory, nd0.nlink, nd0.nsubdirs, nd0.size); if boolvar1 then buf-opt := some(nd.data)}} else abort] ( ubifs-cons(fs, ri, ro0, fi, fo, log) ∧ replay-cons-strong(fs, ri, ro0, fi, fo, log) ∧ file-node-cons(fs, ri) ∧ orphans-cons(fs, ri, ro0) ∧ ri-inj(ri) ∧ log-cons(log, fs) → ⟨p_inode := mkinode(m, md, false, m0, 0, m2); afs_truncate#(n, m2 / VFS_PAGE_SIZE; buf-opt0, p_inode, boolvar2, err0, dirs, files, asynced)⟩ ( dirs = abs-dirs(fs, ri) ∧ files = abs-files(fs, ri) ∧ orphans(abs-dirs(fs, ri), abs-files(fs, ri)) = abs-keys(ro0) ∧ (asynced → boolvar0) ∧ buf-opt = buf-opt0 ∧ inode = p_inode ∧ (boolvar1 ↔ boolvar2) ∧ err = err0)), VFS_PAGE_SIZE = 0, fs[ri[inodekey(m)]].directory

Heuristic symbolic execution applied rule if positive right

And obtained the following new goals

Proof step 14:
boolvar3 ↔ boolvar2, boolvar0 ↔ boolvar, boolvar1 ↔ boolvar3, 0 = fs[ri[inodekey(m)]].nsubdirs, buf-opt = buf-opt0, dirs = abs-dirs(fs, ri), err = err0, files = abs-files(fs, ri), inode = mkinode(m, md, false, fs[ri[inodekey(m)]].nlink, 0, m2), m0 = fs[ri[inodekey(m)]].nlink, pageno1 = m2 / VFS_PAGE_SIZE, ro = orphans(fs, ri), ro0 = orphans(fs, ri), 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), inodekey(m) ∈ ri, buf-opt0.some? → # buf-opt0.buf = VFS_PAGE_SIZE, asynced → boolvar ⊦ [choose adr1, adr0, adr, boolvar with true in let key1 = inodekey(inode.ino), key0 = inodekey(inode.ino), pageno0 = inode.size % VFS_PAGE_SIZE, pageno = min(n, inode.size) in let key = datakey(inode.ino, pageno1), nd1 = truncnode(key1, pageno), nd0 = inodenode(key0, inode.meta, inode.directory, inode.nlink, inode.nsubdirs, n), nd = ? in {if inode.size ≤ n ∧ pageno0 ≠ 0 then if buf-opt.some? then {nd := datanode(key, buf-opt.buf); boolvar := true, err := ESUCCESS} else aubifs_core_index_lookup#(key, ri, fi, ro, fo, fs, log, boolvar0; boolvar, nd; err) else boolvar := false, err := ESUCCESS; if err = ESUCCESS then if boolvar then {nd.data := fill(nd.data, zero, pageno0, VFS_PAGE_SIZE - pageno0); aubifs_core_journal_add3#(nd1, nd0, nd, ri, fi, ro, fo; adr1, adr0, adr, fs, log; boolvar0, err); if err = ESUCCESS then aubifs_core_index_store#(key, adr, fi, ro, fo, fs, log, boolvar0; ri)} else aubifs_core_journal_add2#(nd1, nd0, ri, fi, ro, fo; adr1, adr0, fs, log; boolvar0, err); if err = ESUCCESS then {aubifs_core_index_store#(key0, adr0, fi, ro, fo, fs, log, boolvar0; ri); aubifs_core_index_truncate#(key1, pageno, fi, ro, fo, fs, log, boolvar0; ri); boolvar1 := boolvar; inode := mkinode(inode.ino, nd0.meta, nd0.directory, nd0.nlink, nd0.nsubdirs, nd0.size); if boolvar1 then buf-opt := some(nd.data)}}] ( ubifs-cons(fs, ri, ro0, fi, fo, log) ∧ replay-cons-strong(fs, ri, ro0, fi, fo, log) ∧ file-node-cons(fs, ri) ∧ orphans-cons(fs, ri, ro0) ∧ ri-inj(ri) ∧ log-cons(log, fs) → ⟨p_inode := mkinode(m, md, false, m0, 0, m2); afs_truncate#(n, m2 / VFS_PAGE_SIZE; buf-opt0, p_inode, boolvar2, err0, dirs, files, asynced)⟩ ( dirs = abs-dirs(fs, ri) ∧ files = abs-files(fs, ri) ∧ orphans(abs-dirs(fs, ri), abs-files(fs, ri)) = abs-keys(ro0) ∧ (asynced → boolvar0) ∧ buf-opt = buf-opt0 ∧ inode = p_inode ∧ (boolvar1 ↔ boolvar2) ∧ err = err0)), VFS_PAGE_SIZE = 0, fs[ri[inodekey(m)]].directory

Rule argument

pos: right 1

Additional information

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