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Proof step 5 from proof refine-add2 (previous step)

jvalid ↔ jvalid4, jvalid0 ↔ jvalid3, jvalid1 ↔ jvalid2, adr = adr1, adr0 = adr4, adr1 = adr2, adr4 = adr3, fi = fi1, fi0 = ri, fs = nodes(gstore ↓, jro0), jmaxino = jmaxino0, jro = jro0, log = abs-log(nx, gstore ↓), nd = nd1, nd0 = nd2, ndx = nd0 + nd ', remove-refsize0(gstore0) = gstore0, elems nx ∩ jro0 = ∅, dom gstore0 ∪ elems nx = dom gstore ∪ jro0, jro1.keys.inodes?, p_os.keys.inodes?, jro1 < jmaxino1, p_os < pmaxino, ri.inos < jmaxino1, fi1.inos < pmaxino, inv(gstore \ jro0), inv(gstore0), log-cons(abs-log(nx, gstore ↓), nodes(gstore ↓, jro0)), node-cons(nd2.key, nd2), node-cons(nd1.key, nd1), refsize-cons(gstore, range ri), refsize-cons(gstore0, range fi1), ri-cons(ri, nodes(gstore ↓, jro0)), ri-inj(ri), ri-inj(fi1), pmaxino ≤ jmaxino1, ri.lebs ⊆ dom gstore, fi1.lebs ⊆ dom gstore0, jvalid5 → jvalid4, jvalid3 ∧ nx ≠ [] → valid-journal-head(nx, gstore, jro0) ⊦ ⟪gjournal_journal_addn#(ndx, jvalid1, fi0, fi, gstore0, pmaxino, p_os; ax, jvalid0, jmaxino, jro, gstore, nx, jvalid; err); if err = ESUCCESS then {adr0 := ax[0]; adr := ax[1]}⟫ ⟨aubifs_core_journal_add2#(nd2, nd1, ri, fi1, jro1.keys, p_os.keys; adr3, adr2, fs, log; jvalid5, err0)⟩ (log = abs-log(nx, gstore ↓) ∧ fs = nodes(gstore ↓, jro) ∧ (jvalid5 → jvalid) ∧ adr0 = adr3 ∧ adr = adr2 ∧ err = err0), jmaxino1 = 0, pmaxino = 0, dups(nx)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 6:
fs = nodes(gstore ↓, jro0), log = abs-log(nx, gstore ↓), remove-refsize0(gstore0) = gstore0, elems nx ∩ jro0 = ∅, dom gstore0 ∪ elems nx = dom gstore ∪ jro0, jmaxino1 ≠ 0, pmaxino ≠ 0, p_os.keys.inodes?, jro1.keys.inodes?, fi1.inos < pmaxino, ri.inos < jmaxino1, p_os < pmaxino, jro1 < jmaxino1, inv(gstore0), inv(gstore \ jro0), log-cons(abs-log(nx, gstore ↓), nodes(gstore ↓, jro0)), node-cons(nd1.key, nd1), node-cons(nd2.key, nd2), refsize-cons(gstore0, range fi1), refsize-cons(gstore, range ri), ri-cons(ri, nodes(gstore ↓, jro0)), ri-inj(fi1), ri-inj(ri), pmaxino ≤ jmaxino1, fi1.lebs ⊆ dom gstore0, ri.lebs ⊆ dom gstore, ¬ dups(nx), jvalid3 ∧ nx ≠ [] → valid-journal-head(nx, gstore, jro0), jvalid5 → jvalid4 ⊦ ⟪gjournal_journal_addn#(nd2 ' + nd1 ', jvalid1, ri, fi1, gstore0, pmaxino, p_os; ax, jvalid3, jmaxino, jro0, gstore, nx, jvalid4; err); adr0 := adr3; adr := adr2; if err = ESUCCESS then {adr0 := ax[0]; adr := ax[1]}⟫ ⟨aubifs_core_journal_add2#(nd2, nd1, ri, fi1, jro1.keys, p_os.keys; adr3, adr2, fs, log; jvalid5, err0)⟩ (log = abs-log(nx, gstore ↓) ∧ fs = nodes(gstore ↓, jro0) ∧ (jvalid5 → jvalid4) ∧ adr0 = adr3 ∧ adr = adr2 ∧ err = err0)

Rule argument

Additional information

Used simplifier rules: ⊦ nd + ndx = nd ' + ndx; (s)