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Proof step 42 from proof eq-io-truncate (previous step)

# buf-opt.buf = VFS_PAGE_SIZE, boolvar ↔ boolvar1, asynced ↔ boolvar2, VFS_PAGE_SIZE = n1 + m2 % VFS_PAGE_SIZE, files1[m, mkfile(n0, md, m1, content0[m2 / VFS_PAGE_SIZE, fill(buf-opt.buf, zero, m2 % VFS_PAGE_SIZE, n1)] upto m2)] = files0, files1[m] = mkfile(m0, md0, m1, content0), dirs = dirs1, dirs0 = dirs1, files = files1, inode = inode0, inode0 = mkinode(m, md, false, m1, 0, m2), n = n0, pageno = 0, pageno0 = 0, pageno1 = m2 / VFS_PAGE_SIZE, some(fill(buf-opt.buf, zero, m2 % VFS_PAGE_SIZE, n1)) = buf-opt0, buf-opt.some?, pre-truncate(inode, n, pageno1, buf-opt, dirs, files), m ∈ files1, m2 ≤ n0 ⊦ ⟨afs_truncate_internal#(n, pageno1; inode, buf-opt, pageno0, pageno, boolvar, err, dirs, files; 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, files0[m].meta, false, files0[m].nlink, 0, files0[m].size) ) ∧ boolvar ∧ err = ESUCCESS ∧ dirs = dirs0 ∧ files = files0), m2 % VFS_PAGE_SIZE = 0, VFS_PAGE_SIZE = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 43:
# buf-opt.buf = VFS_PAGE_SIZE, VFS_PAGE_SIZE = n1 + m2 % VFS_PAGE_SIZE, files1[m, mkfile(n0, md, m1, content0[m2 / VFS_PAGE_SIZE, fill(buf-opt.buf, zero, m2 % VFS_PAGE_SIZE, n1)] upto m2)] = files0, files1[m] = mkfile(m0, md0, m1, content0), dirs = dirs1, inode = mkinode(m, md, false, m1, 0, m2), pageno = 0, pageno0 = 0, some(fill(buf-opt.buf, zero, m2 % VFS_PAGE_SIZE, n1)) = buf-opt0, m2 % VFS_PAGE_SIZE ≠ 0, buf-opt.some?, m ∈ files1, m2 ≤ n0 ⊦ ⟨afs_truncate_internal#(n0, m2 / VFS_PAGE_SIZE; inode, buf-opt, pageno0, pageno, boolvar, err, dirs, files1; asynced)⟩ ( buf-opt = buf-opt0 ∧ inode = (m ∈ dirs1 ⊃ mkinode(m, dirs1[m].meta, true, dirs1[m].nlink, dirs1[m].nsubdirs, dirs1[m].size) ;mkinode(m, files0[m].meta, false, files0[m].nlink, 0, files0[m].size) ) ∧ boolvar ∧ err = ESUCCESS ∧ dirs = dirs1 ∧ files1 = files0)

Rule argument

Additional information

Used simplifier rules: ⊦ mkfile(m, md, m0, content).nlink = m0; (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)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).nlink = m0; (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)