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Proof step 3 from proof refine-newino (previous step)

key = key0, remove-refsize0(gstore0) = gstore0, elems nx ∩ jro0 = ∅, dom gstore0 ∪ elems nx = dom gstore ∪ jro0, jmaxino ≠ 0, pmaxino ≠ 0, jro.keys.inodes?, p_os.keys.inodes?, jro < jmaxino, p_os < pmaxino, ri.inos < jmaxino, fi1.inos < pmaxino, inv(gstore \ jro0), inv(gstore0), log-cons(abs-log(nx, gstore ↓), nodes(gstore ↓, jro0)), refsize-cons(gstore, range ri), refsize-cons(gstore0, range fi1), ri-inj(ri), ri-inj(fi1), pmaxino ≤ jmaxino, ri.lebs ⊆ dom gstore, fi1.lebs ⊆ dom gstore0, ¬ dups(nx), jvalid → jvalid0, jvalid1 ∧ nx ≠ [] → valid-journal-head(nx, gstore, jro0) ⊦ ⟪gjournal_index_newino#(; key, jmaxino)⟫ ⟨aubifs_core_index_newino#(ri, fi1, jro.keys, p_os.keys, nodes(gstore ↓, jro0), abs-log(nx, gstore ↓), jvalid; key0)⟩ ((jvalid → jvalid0) ∧ key = key0)

Heuristic weak unfold applied rule call right

And obtained the following new goals

Proof step 4:
key = key0, remove-refsize0(gstore0) = gstore0, elems nx ∩ jro0 = ∅, dom gstore0 ∪ elems nx = dom gstore ∪ jro0, p_os.keys.inodes?, jro.keys.inodes?, fi1.inos < pmaxino, ri.inos < jmaxino, p_os < pmaxino, jro < jmaxino, inv(gstore0), inv(gstore \ jro0), log-cons(abs-log(nx, gstore ↓), nodes(gstore ↓, jro0)), refsize-cons(gstore0, range fi1), refsize-cons(gstore, range ri), ri-inj(fi1), ri-inj(ri), pmaxino ≤ jmaxino, fi1.lebs ⊆ dom gstore0, ri.lebs ⊆ dom gstore, jvalid1 ∧ nx ≠ [] → valid-journal-head(nx, gstore, jro0), jvalid → jvalid0 ⊦ ⟪key := inodekey(jmaxino); jmaxino := jmaxino + 1⟫ ⟨aubifs_core_index_newino#(ri, fi1, jro.keys, p_os.keys, nodes(gstore ↓, jro0), abs-log(nx, gstore ↓), jvalid; key0)⟩ ((jvalid → jvalid0) ∧ key = key0), jmaxino = 0, pmaxino = 0, dups(nx)

Rule argument

pos: right 1

Additional information

Used simplifier rules: gjournal_index_newino#(; KEY, JMAXINO) {KEY := inodekey(JMAXINO); JMAXINO := JMAXINO + 1};