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Proof step 70 from proof write-term (previous step)

VFS_PAGE_SIZE = n1 + m2 % VFS_PAGE_SIZE, of[fd] = mkfile(m, mode, m0), files1[m] = mkfile(m2, md0, # links(m, dirs), content0), dirs0 = dirs, err = ESUCCESS, files = files2, files0 = files[ino, files[ino].size:= inode.size][ino, files[ino, files[ino].size:= inode.size][ino].meta:= inode.meta], files2 = files1 [m, mkfile(m2, md0, # links(m, dirs), content0[m2 / VFS_PAGE_SIZE, fill(content0[m2 / VFS_PAGE_SIZE], zero, m2 % VFS_PAGE_SIZE, n1)] upto m2) ], ino = inode.ino, ino3 = 0, inode = mkinode(m, md0, false, # links(m, dirs), 0, m2), inode0 = (inode1.ino ∈ dirs ⊃ mkinode(inode1.ino, dirs[inode1.ino].meta, true, dirs[inode1.ino].nlink, dirs[inode1.ino].nsubdirs, dirs[inode1.ino].size) ;mkinode (inode1.ino, files[ino, files[ino].size:= inode.size][ino, files[ino, files[ino].size:= inode.size][ino].meta:= inode.meta][inode1.ino].meta, false, files[ino, files[ino].size:= inode.size][ino, files[ino, files[ino].size:= inode.size][ino].meta:= inode.meta][inode1.ino].nlink, 0, files[ino, files[ino].size:= inode.size][ino, files[ino, files[ino].size:= inode.size][ino].meta:= inode.meta][inode1.ino].size) ), inode1 = mkinode(m, md0, false, # links(m, dirs), 0, m2), afs-cons(dirs, files1), afs-cons(dirs, files[ino, files[ino].size:= inode.size][ino, files[ino, files[ino].size:= inode.size][ino].meta:= inode.meta]), of-cons(of, dirs, files1), ino ∈ files, m2 / VFS_PAGE_SIZE ∈ content0, m ∈ files1, fd ∈ of, n0 ≤ # buf0 ⊦ ⟪vfs_write_loop#(m0, inode0, m0 + n0, buf0, dirs; ino3, err, files0, asynced); if ino3 ≠ 0 then err := ESUCCESS; if err = ESUCCESS then let ino = inode0.size in {n0 := ino3, ino1 := m0 + ino3; if ino3 ≠ 0 ∧ ino < ino1 then {inode0.size := ino1; afs_check_commit#(dirs, files0; err; asynced); if err = ESUCCESS then afs_write_inode#(inode0; err, dirs, files0; asynced)}; if err ≠ ESUCCESS then n0 := (m0 ≤ ino ⊃ ino - m0;0), err := ESUCCESS; of[fd].pos := m0 + n0}⟫ (dirs0 = dirs), m2 % VFS_PAGE_SIZE = 0, n0 = 0, mode ≠ MODE_W ∧ mode ≠ MODE_RW

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 71:
VFS_PAGE_SIZE = n1 + m2 % VFS_PAGE_SIZE, files1[m] = mkfile(m2, md0, # links(m, dirs), content0), of[fd] = mkfile(m, mode, m0), err = ESUCCESS, files0 = files1 [m, mkfile(m2, md0, # links(m, dirs), content0[m2 / VFS_PAGE_SIZE, fill(content0[m2 / VFS_PAGE_SIZE], zero, m2 % VFS_PAGE_SIZE, n1)] upto m2) ], ino3 = 0, m2 % VFS_PAGE_SIZE ≠ 0, n0 ≠ 0, afs-cons(dirs, files1), afs-cons (dirs, files1 [m, mkfile(m2, md0, # links(m, dirs), content0[m2 / VFS_PAGE_SIZE, fill(content0[m2 / VFS_PAGE_SIZE], zero, m2 % VFS_PAGE_SIZE, n1)] upto m2) ]), of-cons(of, dirs, files1), fd ∈ of, m2 / VFS_PAGE_SIZE ∈ content0, m ∈ files1, n0 ≤ # buf0 ⊦ ⟪vfs_write_loop# (m0, mkinode (m, files1 [m, files1 [m, files1 [m, mkfile (m2, md0, # links(m, dirs), content0[m2 / VFS_PAGE_SIZE, fill(content0[m2 / VFS_PAGE_SIZE], zero, m2 % VFS_PAGE_SIZE, n1)] upto m2) ] [m ] .size:= m2 ] [m ] .meta:= md0 ] [m ] .meta, false, files1 [m, files1 [m, files1 [m, mkfile (m2, md0, # links(m, dirs), content0[m2 / VFS_PAGE_SIZE, fill(content0[m2 / VFS_PAGE_SIZE], zero, m2 % VFS_PAGE_SIZE, n1)] upto m2) ] [m ] .size:= m2 ] [m ] .meta:= md0 ] [m ] .nlink, 0, files1 [m, files1 [m, files1 [m, mkfile (m2, md0, # links(m, dirs), content0[m2 / VFS_PAGE_SIZE, fill(content0[m2 / VFS_PAGE_SIZE], zero, m2 % VFS_PAGE_SIZE, n1)] upto m2) ] [m ] .size:= m2 ] [m ] .meta:= md0 ] [m ] .size), m0 + n0, buf0, dirs ; ino3, err, files0, asynced); if ino3 ≠ 0 then err := ESUCCESS; dirs0 := dirs; if err = ESUCCESS then let ino0 = (m ∈ dirs ⊃ mkinode(m, dirs[m].meta, true, dirs[m].nlink, dirs[m].nsubdirs, dirs[m].size) ;mkinode (m, files1 [m, files1 [m, files1 [m, mkfile (m2, md0, # links(m, dirs), content0[m2 / VFS_PAGE_SIZE, fill(content0[m2 / VFS_PAGE_SIZE], zero, m2 % VFS_PAGE_SIZE, n1)] upto m2) ] [m ] .size:= m2 ] [m ] .meta:= md0 ] [m ] .meta, false, files1 [m, files1 [m, files1 [m, mkfile (m2, md0, # links(m, dirs), content0[m2 / VFS_PAGE_SIZE, fill(content0[m2 / VFS_PAGE_SIZE], zero, m2 % VFS_PAGE_SIZE, n1)] upto m2) ] [m ] .size:= m2 ] [m ] .meta:= md0 ] [m ] .nlink, 0, files1 [m, files1 [m, files1 [m, mkfile (m2, md0, # links(m, dirs), content0[m2 / VFS_PAGE_SIZE, fill(content0[m2 / VFS_PAGE_SIZE], zero, m2 % VFS_PAGE_SIZE, n1)] upto m2) ] [m ] .size:= m2 ] [m ] .meta:= md0 ] [m ] .size) ) .size in {n0 := ino3, ino1 := m0 + ino3; if ino3 ≠ 0 ∧ ino0 < ino1 then {inode0 := (m ∈ dirs ⊃ mkinode(m, dirs[m].meta, true, dirs[m].nlink, dirs[m].nsubdirs, dirs[m].size) ;mkinode (m, files1 [m, files1 [m, files1 [m, mkfile (m2, md0, # links(m, dirs), content0[m2 / VFS_PAGE_SIZE, fill(content0[m2 / VFS_PAGE_SIZE], zero, m2 % VFS_PAGE_SIZE, n1)] upto m2) ] [m ] .size:= m2 ] [m ] .meta:= md0 ] [m ] .meta, false, files1 [m, files1 [m, files1 [m, mkfile (m2, md0, # links(m, dirs), content0[m2 / VFS_PAGE_SIZE, fill(content0[m2 / VFS_PAGE_SIZE], zero, m2 % VFS_PAGE_SIZE, n1)] upto m2) ] [m ] .size:= m2 ] [m ] .meta:= md0 ] [m ] .nlink, 0, files1 [m, files1 [m, files1 [m, mkfile (m2, md0, # links(m, dirs), content0[m2 / VFS_PAGE_SIZE, fill(content0[m2 / VFS_PAGE_SIZE], zero, m2 % VFS_PAGE_SIZE, n1)] upto m2) ] [m ] .size:= m2 ] [m ] .meta:= md0 ] [m ] .size) ) .size:= ino1; afs_check_commit#(dirs, files0; err; asynced); if err = ESUCCESS then afs_write_inode#(inode0; err, dirs, files0; asynced)}; if err ≠ ESUCCESS then n0 := (m0 ≤ ino0 ⊃ ino0 - m0;0), err := ESUCCESS; of[fd].pos := m0 + n0}⟫ (dirs0 = dirs), mode ≠ MODE_W ∧ mode ≠ MODE_RW

Rule argument

Additional information

Used simplifier rules: ⊦ of-cons(of, dirs, files) ∧ fd ∈ of ∧ of[fd] = mkfile(ino, mode, n) ∧ afs-cons(dirs, files) → ¬ ino ∈ dirs; (s)% ⊦ ino ∈ files[ino0, af] ↔ ino ∈ files; (s)% ⊦ mkfile(m, md, m0, content).meta:= md0 = mkfile(m, md0, m0, content); (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).meta = md; (s)% ⊦ files[ino, af][ino, af0] = files[ino, af0]; (s)% ⊦ mkfile(m, md, m0, content).size:= m1 = mkfile(m1, md, m0, content); (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).size = m2; (s)% ⊦ files[ino, af][ino0] = (ino0 = ino ∧ ino ∈ files ⊃ af;files[ino0]); (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).ino = m; (s)