| gstore2[n1] = groupblock(gndx, lax, 0), fs = nodes(gstore2 ↓, jro0), log = abs-log(nx, gstore2 ↓), remove-refsize0(gstore1) = gstore1, ri0 = ri, elems nx ∩ jro0 = ∅, dom gstore1 ∪ elems nx = dom gstore2 ∪ jro0, p_os.keys.inodes?, jro1.keys.inodes?, ri.inos < jmaxino, jro1 < jmaxino, p_os < pmaxino, fi1.inos < pmaxino, inv(gstore1), inv(gstore2 \ jro0), log-cons(abs-log(nx, gstore2 ↓), nodes(gstore2 ↓, jro0)), refsize-cons(gstore1, range fi1), refsize-cons(gstore2, range ri), ri-cons(ri, nodes(gstore2 ↓, jro0)), ri-inj(ri), ri-inj(fi1), n1 ∈ gstore1, n1 ∈ gstore2, pmaxino ≤ jmaxino, fi1.lebs ⊆ dom gstore1, ri.lebs ⊆ dom gstore2, ⌊err0⌋ , jvalid5 → jvalid0, jvalid3 ∧ nx ≠ [] → valid-journal-head(nx, gstore2, jro0) ⊦ ⟨choose kx, ax with ¬ dups(kx) ∧ ¬ dups(ax) ∧ new(ax, fs) ∧ kx.toSet ⊆ dom ri ∧ # kx = # ax ∧ ax.toSet ∩ log.toSet = ∅ in {fs[ax] := fs[ri[kx]], log := log + ax; ri[kx] := ax}; aubifs_core_gc_drop#(ri, log; fs); jvalid := ?⟩ (ri0 = ri ∧ log = abs-log(nx, gstore2 ↓) ∧ fs = nodes(gstore2 ↓, jro0)), jmaxino = 0, pmaxino = 0, dups(nx), n1 ∈ nx |
gstore2[n1] = groupblock(gndx, lax, 0), fs = nodes(gstore2 ↓, jro0), log = abs-log(nx, gstore2 ↓), remove-refsize0(gstore1) = gstore1, ri0 = ri, elems nx ∩ jro0 = ∅, dom gstore1 ∪ elems nx = dom gstore2 ∪ jro0, jro1.keys.inodes?, p_os.keys.inodes?, fi1.inos < pmaxino, p_os < pmaxino, jro1 < jmaxino, ri.inos < jmaxino, inv(gstore2 \ jro0), inv(gstore1), log-cons(abs-log(nx, gstore2 ↓), nodes(gstore2 ↓, jro0)), refsize-cons(gstore2, range ri), refsize-cons(gstore1, range fi1), ri-cons(ri, nodes(gstore2 ↓, jro0)), ri-inj(fi1), ri-inj(ri), n1 ∈ gstore2, n1 ∈ gstore1, pmaxino ≤ jmaxino, ri.lebs ⊆ dom gstore2, fi1.lebs ⊆ dom gstore1, ⌊err0⌋ , jvalid3 ∧ nx ≠ [] → valid-journal-head(nx, gstore2, jro0), jvalid5 → jvalid0 ⊦ ∃ kx, ax. (¬ dups(kx) ∧ ¬ dups(ax) ∧ new(ax, fs) ∧ kx.toSet ⊆ dom ri ∧ # kx = # ax ∧ ax.toSet ∩ log.toSet = ∅) ∧ ⟨fs[ax] := fs[ri[kx]], log := log + ax; ri[kx] := ax; aubifs_core_gc_drop#(ri, log; fs); jvalid := ?⟩ (ri0 = ri ∧ log = abs-log(nx, gstore2 ↓) ∧ fs = nodes(gstore2 ↓, jro0)), jmaxino = 0, pmaxino = 0, dups(nx), n1 ∈ nx