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Proof step 427 from proof refine-truncate (previous step)

boolvar1 ↔ boolvar3, boolvar0 ↔ boolvar4, 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), key = datakey(inode.ino, pageno1), key0 = inodekey(inode.ino), key1 = inodekey(inode.ino), m0 = fs[ri[inodekey(m)]].nlink, nd0 = inodenode(key0, inode.meta, inode.directory, inode.nlink, inode.nsubdirs, n), nd1 = truncnode(key1, pageno), pageno = min(n, inode.size), pageno0 = inode.size % VFS_PAGE_SIZE, 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, inode.size ≤ n, asynced → boolvar4, buf-opt0.some? → # buf-opt0.buf = VFS_PAGE_SIZE ⊦ [aubifs_core_index_lookup#(key, ri, fi, ro, fo, fs, log, boolvar0; boolvar, nd; err); 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, pageno0 = 0, fs[ri[inodekey(m)]].directory, buf-opt.some?

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 428:
0 = fs[ri[inodekey(m)]].nsubdirs, m2 % VFS_PAGE_SIZE ≠ 0, 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, m2 ≤ n, ¬ fs[ri[inodekey(m)]].directory, ¬ buf-opt0.some?, asynced → boolvar4 ⊦ [aubifs_core_index_lookup# (datakey(mkinode(m, md, false, fs[ri[inodekey(m)]].nlink, 0, m2).ino, m2 / VFS_PAGE_SIZE), ri, fi, orphans(fs, ri), fo, fs, log, boolvar4 ; boolvar, nd ; err); ro0 := orphans(fs, ri); ro := orphans(fs, ri); nd0 := inodenode (inodekey(mkinode(m, md, false, fs[ri[inodekey(m)]].nlink, 0, m2).ino), mkinode(m, md, false, fs[ri[inodekey(m)]].nlink, 0, m2).meta, mkinode(m, md, false, fs[ri[inodekey(m)]].nlink, 0, m2).directory, fs[ri[inodekey(m)]].nlink, mkinode(m, md, false, fs[ri[inodekey(m)]].nlink, 0, m2).nsubdirs, n); m0 := fs[ri[inodekey(m)]].nlink; key1 := inodekey(mkinode(m, md, false, fs[ri[inodekey(m)]].nlink, 0, m2).ino); inode := mkinode(m, md, false, fs[ri[inodekey(m)]].nlink, 0, m2); files := abs-files(fs, ri); dirs := abs-dirs(fs, ri); if err = ESUCCESS then if boolvar then {nd.data := fill(nd.data, zero, inode.size % VFS_PAGE_SIZE, VFS_PAGE_SIZE - inode.size % VFS_PAGE_SIZE); aubifs_core_journal_add3#(truncnode(key1, min(n, inode.size)), nd0, nd, ri, fi, ro, fo; adr1, adr0, adr, fs, log; boolvar4, err); if err = ESUCCESS then aubifs_core_index_store#(datakey(inode.ino, m2 / VFS_PAGE_SIZE), adr, fi, ro, fo, fs, log, boolvar4; ri)} else aubifs_core_journal_add2#(truncnode(key1, min(n, inode.size)), nd0, ri, fi, ro, fo; adr1, adr0, fs, log; boolvar4, err); buf-opt := buf-opt0; boolvar1 := boolvar2; if err = ESUCCESS then {aubifs_core_index_store#(inodekey(inode.ino), adr0, fi, ro, fo, fs, log, boolvar4; ri); aubifs_core_index_truncate#(key1, min(n, inode.size), fi, ro, fo, fs, log, boolvar4; 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 → boolvar4) ∧ buf-opt = buf-opt0 ∧ inode = p_inode ∧ (boolvar1 ↔ boolvar2) ∧ err = err0))

Rule argument

Additional information

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