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Proof step 12 from proof inv-gc-copy (previous step)

# ax = # ndx1, abs-log(nx, gstore3 ↓) = abs-log(nx1, gstore2 ↓) + ax, fi = fi2[ndx1.keys, ax], fi0 = fi2[ndx1.keys, ax], fi3 = fi1, gstore = gstore1, gstore0 = gstore3, nodes(gstore3 ↓, jro) = nodes(gstore2 ↓, jro0)[ax, ndx1], remove-refsize0(gstore1) = gstore1, elems nx ∩ jro = ∅, (nx.toSet \ nx1.toSet) ∩ dom gstore2 = ∅, elems nx1 ∩ jro0 = ∅, dom gstore1 ∪ elems nx = dom gstore3 ∪ jro, dom gstore1 ∪ elems nx1 = dom gstore2 ∪ jro0, fi2[ndx1.keys, ax].inos < jmaxino0, fi1.inos < pmaxino, fi2.inos < jmaxino3, p_os < pmaxino, jro2 < jmaxino3, inv(gstore3 \ jro), inv(gstore1), inv(gstore2 \ jro0), key-cons(ndx4), key-cons(ndx1), new(ax, nodes(gstore2 ↓, jro0)), refsize-cons(gstore3, range fi2[ndx1.keys, ax]), refsize-cons(gstore1, range fi1), refsize-cons(gstore2, range fi2), ri-inj(fi2[ndx1.keys, ax]), ri-inj(fi1), ri-inj(fi2), pmaxino ≤ jmaxino0, pmaxino ≤ jmaxino3, jmaxino3 ≤ jmaxino0, fi2.lebs ⊆ dom gstore3, dom gstore2 ⊆ dom gstore3, range fi2[ndx1.keys, ax] ⊆ dom nodes(gstore3 ↓, jro), fi2[ndx1.keys, ax].lebs ⊆ dom gstore3, range fi2 ⊆ dom nodes(gstore2 ↓, jro0), ndx4.keys.toSet ⊆ dom fi2, ndx1.keys.toSet ⊆ dom fi2, fi1.lebs ⊆ dom gstore1, fi2.lebs ⊆ dom gstore2, jvalid1 ∧ nx ≠ [] → valid-journal-head(nx, gstore3, jro), jvalid7 ∧ nx1 ≠ [] → valid-journal-head(nx1, gstore2, jro0) ⊦ ⟪ndx2 := ndx4; jmaxino := 0; if nx ≠ [] then {index_get_block_free_size#(fi, fi1, jro, gstore3, gstore1, nx, pmaxino, p_os, jvalid0; ; jmaxino); if jmaxino < ndx2.head.flashsize then jmaxino := 0}; let ndx = [], ax0 = [], n = ? in {index_get_leb_size(fi, fi1, jro, gstore3, gstore1, nx, pmaxino, p_os, jvalid0; ; n); ndx0 := ndx2; gjournal_split_nodes#(n - jmaxino; ndx2, ndx); if ndx = [] then err := EINVAL else {gjournal_journal_addn#(ndx, jvalid2, fi, fi1, gstore1, pmaxino, p_os; ax0, jvalid1, jmaxino1, jro, gstore3, nx, jvalid0; err); if err = ESUCCESS then gjournal_gc_update_index#(jvalid1, fi1, jro, gstore1, nx, pmaxino, p_os, jvalid0; ax0, ndx, jmaxino0, fi, gstore3)}}⟫ ( (err = ESUCCESS ∨ ⌊err⌋ ) ∧ (∃ ndx3. ndx1 + ndx0 = ndx3 + ndx2) ∧ jmaxino3 ≤ jmaxino0 ∧ (jvalid1 ∧ nx ≠ [] → valid-journal-head(nx, gstore3, jro)) ∧ fi.inos < jmaxino0 ∧ fi.lebs ⊆ dom gstore3 ∧ refsize-cons(gstore3, range fi) ∧ inv(gstore3 \ jro) ∧ elems nx ∩ jro = ∅ ∧ ¬ dups(nx) ∧ dom gstore1 ∪ elems nx = dom gstore3 ∪ jro ∧ ri-inj(fi) ∧ ndx2.keys.toSet ⊆ dom fi ∧ range fi ⊆ dom nodes(gstore3 ↓, jro) ∧ dom gstore2 ⊆ dom gstore3 ∧ (nx.toSet \ nx1.toSet) ∩ dom gstore2 = ∅ ∧ (∃ ax, ndx3, ndx4. ndx1 + ndx0 = ndx3 + ndx4 ∧ (err = ESUCCESS → ndx4 = ndx2) ∧ new(ax, nodes(gstore2 ↓, jro0)) ∧ ¬ dups(ax) ∧ # ax = # ndx3 ∧ fi = fi2[ndx3.keys, ax] ∧ nodes(gstore3 ↓, jro) = nodes(gstore2 ↓, jro0)[ax, ndx3] ∧ abs-log(nx, gstore3 ↓) = abs-log(nx1, gstore2 ↓) + ax) ∧ (err = ESUCCESS ⊃ # ndx2;0) < # ndx4), jmaxino3 = 0, ndx4 = [], pmaxino = 0, dups(ax), dups(nx), dups(nx1), dups(ndx1.keys + ndx4.keys), dups(ndx1.keys), dups(ndx4.keys)

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Rule argument

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