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Proof step 30 from proof refine-remove (previous step)

jvalid ↔ jvalid0, ri[key] = @(m, m0, m1), gstore2[m] = groupblock(gndx, lax, m2), fi = fi1, fi0 = ri -- key, gstore = gstore2, gstore0 = gstore1, gstore3 = gstore2, jro = jro0, lnum = m, n = m2 - m1, remove-refsize0(gstore1) = gstore1, elems nx ∩ jro0 = ∅, dom gstore1 ∪ elems nx = dom gstore2 ∪ jro0, p_os.keys.inodes?, jro1.keys.inodes?, fi1.inos < pmaxino, ri.inos < jmaxino, p_os < pmaxino, jro1 < jmaxino, 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-inj(ri), ri-inj(ri -- key), ri-inj(fi1), key ∈ ri, m ∈ gstore2, pmaxino ≤ jmaxino, m2 ≥ m1, fi1.lebs ⊆ dom gstore1, ri.lebs ⊆ dom gstore2, jvalid1 ∧ nx ≠ [] → valid-journal-head(nx, gstore2, jro0), jvalid2 → jvalid0 ⊦ [if lnum ∈ gstore then gstore[lnum].ref-size := n else abort] ( inv(gstore \ jro0) ∧ dom gstore1 ∪ elems nx = dom gstore ∪ jro0 → ⟨ri0 := ri; aubifs_core_index_remove#(key, fi1, jro1.keys, p_os.keys, nodes(gstore3 ↓, jro0), abs-log(nx, gstore3 ↓), jvalid2; ri)⟩ (ri0 -- key = ri ∧ abs-log(nx, gstore3 ↓) = abs-log(nx, gstore ↓) ∧ nodes(gstore3 ↓, jro0) = nodes(gstore ↓, jro0) ∧ (jvalid2 → jvalid0))), jmaxino = 0, pmaxino = 0, dups(nx)

Heuristic symbolic execution applied rule if positive right

And obtained the following new goals

Proof step 31:
jvalid ↔ jvalid0, gstore2[m] = groupblock(gndx, lax, m2), ri[key] = @(m, m0, m1), fi = fi1, fi0 = ri -- key, gstore = gstore2, gstore0 = gstore1, gstore3 = gstore2, jro = jro0, lnum = m, n = m2 - m1, remove-refsize0(gstore1) = gstore1, elems nx ∩ jro0 = ∅, dom gstore1 ∪ elems nx = dom gstore2 ∪ jro0, jro1.keys.inodes?, p_os.keys.inodes?, jro1 < jmaxino, p_os < pmaxino, ri.inos < jmaxino, fi1.inos < pmaxino, 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-inj(fi1), ri-inj(ri -- key), ri-inj(ri), m ∈ gstore2, key ∈ ri, pmaxino ≤ jmaxino, m2 ≥ m1, ri.lebs ⊆ dom gstore2, fi1.lebs ⊆ dom gstore1, jvalid2 → jvalid0, jvalid1 ∧ nx ≠ [] → valid-journal-head(nx, gstore2, jro0) ⊦ [gstore[lnum].ref-size := n] ( inv(gstore \ jro0) ∧ dom gstore1 ∪ elems nx = dom gstore ∪ jro0 → ⟨ri0 := ri; aubifs_core_index_remove#(key, fi1, jro1.keys, p_os.keys, nodes(gstore3 ↓, jro0), abs-log(nx, gstore3 ↓), jvalid2; ri)⟩ (ri0 -- key = ri ∧ abs-log(nx, gstore3 ↓) = abs-log(nx, gstore ↓) ∧ nodes(gstore3 ↓, jro0) = nodes(gstore ↓, jro0) ∧ (jvalid2 → jvalid0))), jmaxino = 0, pmaxino = 0, dups(nx)

Proof step 30 from proof refine-remove (previous step)

Heuristic symbolic execution applied rule if positive right

And obtained the following new goals

Rule argument

Additional information