| # kx = # ax, dirs = abs-dirs(fs, ri), files = abs-files(fs, ri), ro = orphans(fs, ri), ax.toSet ∩ log.toSet = ∅, 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), new(ax, 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), kx.toSet ⊆ dom ri, asynced → boolvar ⊦ [fs[ax] := fs[ri[kx]], log := log + ax; ri[kx] := ax; aubifs_core_gc_drop#(ri, log; fs); boolvar := ?] ( 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) → ⟨asynced := ?⟩ (dirs = abs-dirs(fs, ri) ∧ files = abs-files(fs, ri) ∧ orphans(abs-dirs(fs, ri), abs-files(fs, ri)) = abs-keys(ro) ∧ (asynced → boolvar))), dups(ax), dups(kx) |
# kx = # ax, dirs = abs-dirs(fs0, ri), files = abs-files(fs0, ri), fs = fs0[ax, fs0[ri[kx]]], log = log0 + ax, ro = orphans(fs0, ri), ax.toSet ∩ log0.toSet = ∅, orphans(fs0, ri).inodes?, fo.inodes?, afs-cons(abs-dirs(fs0, ri), abs-files(fs0, ri)), file-node-cons(fs0, ri), log-cons(log0, fs0), new(ax, fs0), orphans-cons(fs0, ri, orphans(fs0, ri)), replay-cons-strong(fs0, ri, orphans(fs0, ri), fi, fo, log0), ri-inj(ri), ri-inj(fi), ubifs-cons(fs0, ri, orphans(fs0, ri), fi, fo, log0), kx.toSet ⊆ dom ri, asynced → boolvar ⊦ [ri[kx] := ax; aubifs_core_gc_drop#(ri, log; fs); boolvar := ?] ( 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) → ⟨asynced := ?⟩ (dirs = abs-dirs(fs, ri) ∧ files = abs-files(fs, ri) ∧ orphans(abs-dirs(fs, ri), abs-files(fs, ri)) = abs-keys(ro) ∧ (asynced → boolvar))), dups(kx), dups(ax)