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Proof step 856 from proof refine-truncate (previous step)

fs[ri[inodekey(m)]] = inodenode(key, md0, false, m1, 0, m4), dirs = abs-dirs(fs, ri), files = abs-files(fs, ri), ro = orphans(fs, ri), 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), ri[inodekey(m)] ∈ fs, inodekey(m) ∈ ri, m2 ≤ n, ¬ buf-opt0.some?, ¬ datakey(m, m2 / VFS_PAGE_SIZE) ∈ ri, asynced → boolvar4 ⊦ [aubifs_core_journal_add2# (truncnode(inodekey(m), m2), inodenode(inodekey(m), md, false, m1, 0, n), ri, fi, orphans(fs, ri), fo; adr1, adr0, fs, log; boolvar4, err); buf-opt := buf-opt0; boolvar1 := boolvar2; inode := mkinode(m, md, false, m1, 0, m2); if err = ESUCCESS then {aubifs_core_index_store#(inodekey(m), adr0, fi, ro, fo, fs, log, boolvar4; ri); aubifs_core_index_truncate#(inodekey(m), min(n, m2), fi, ro, fo, fs, log, boolvar4; ri); boolvar1 := false; inode := mkinode (inode.ino, inodenode(inodekey(m), md, false, m1, 0, n).meta, inodenode(inodekey(m), md, false, m1, 0, n).directory, inodenode(inodekey(m), md, false, m1, 0, n).nlink, inodenode(inodekey(m), md, false, m1, 0, n).nsubdirs, inodenode(inodekey(m), md, false, m1, 0, n).size); if boolvar1 then buf-opt := some(nd.data)}] ( ubifs-cons(fs, ri, ro, fi, fo, log) ∧ replay-cons-strong(fs, ri, ro, fi, fo, log) ∧ file-node-cons(fs, ri) ∧ orphans-cons(fs, ri, ro) ∧ ri-inj(ri) ∧ log-cons(log, fs) → ⟨p_inode := mkinode(m, md, false, m1, 0, m2); afs_truncate#(n, m2 / VFS_PAGE_SIZE; buf-opt0, p_inode, boolvar2, err1, dirs, files, asynced)⟩ ( dirs = abs-dirs(fs, ri) ∧ files = abs-files(fs, ri) ∧ orphans(abs-dirs(fs, ri), abs-files(fs, ri)) = abs-keys(ro) ∧ (asynced → boolvar4) ∧ buf-opt = buf-opt0 ∧ inode = p_inode ∧ (boolvar1 ↔ boolvar2) ∧ err = err1))

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 857:
fs[ri[inodekey(m)]] = inodenode(key, md0, false, m1, 0, m4), adr = adr2, adr0 = adr1, dirs = abs-dirs(fs, ri), files = abs-files(fs, ri), nd = inodenode(inodekey(m), md, false, m1, 0, n), nd0 = truncnode(inodekey(m), m2), 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, ri[inodekey(m)] ∈ fs, m2 ≤ n, asynced → boolvar4 ⊦ [if ri-cons(ri, fs) ∧ node-cons(nd0.key, nd0) ∧ node-cons(nd.key, nd) then { choose adr1, adr2 with new(adr1 ' + adr2 ', fs) ∧ ¬ dups(adr1 ' + adr2 ') in {adr0 := adr1, adr := adr2; fs := fs[adr0, nd0][adr, nd], log := (log + adr0) + adr, err := ESUCCESS} ifnone err := ENOSPC or {fail#(; ; err); adr0 := ?, adr := ?}; boolvar := ?} else abort; buf-opt := buf-opt0; boolvar1 := boolvar2; inode := mkinode(m, md, false, m1, 0, m2); boolvar4 := boolvar, adr2 := adr; if err = ESUCCESS then {aubifs_core_index_store#(inodekey(m), adr2, fi, ro0, fo, fs, log, boolvar4; ri); aubifs_core_index_truncate#(inodekey(m), min(n, m2), fi, ro0, fo, fs, log, boolvar4; ri); boolvar1 := false; inode := mkinode (inode.ino, inodenode(inodekey(m), md, false, m1, 0, n).meta, inodenode(inodekey(m), md, false, m1, 0, n).directory, inodenode(inodekey(m), md, false, m1, 0, n).nlink, inodenode(inodekey(m), md, false, m1, 0, n).nsubdirs, inodenode(inodekey(m), md, false, m1, 0, n).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, m1, 0, m2); afs_truncate#(n, m2 / VFS_PAGE_SIZE; buf-opt0, p_inode, boolvar2, err1, 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 = err1)), m2 % VFS_PAGE_SIZE = 0, buf-opt0.some?, datakey(m, m2 / VFS_PAGE_SIZE) ∈ ri

Rule argument

pos: right 1

Additional information

Used simplifier rules: aubifs_core_journal_add2# (ND1, ND2, RI, FI, RO, FO; ADR1, ADR2, FS, LOG; CSYNCED, ERR) {if ri-cons(RI, FS) ∧ node-cons(ND1.key, ND1) ∧ node-cons(ND2.key, ND2) then { choose adr1, adr2 with new(adr1 ' + adr2 ', FS) ∧ ¬ dups(adr1 ' + adr2 ') in {ADR1 := adr1, ADR2 := adr2; FS := FS[ADR1, ND1][ADR2, ND2], LOG := (LOG + ADR1) + ADR2, ERR := ESUCCESS} ifnone ERR := ENOSPC or {fail#(; ; ERR); ADR1 := ?, ADR2 := ?}; CSYNCED := ?} else abort };