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Proof step 99 from proof abs-gstore-crash (previous step)

# avol0 = # lpt, # lpt0 = # lpt, # avol1 = # lpt, (n ∈ nx ⊃ mklp(m13, LEB_SIZE, LP_GROUP_NODES, m15);mklp(m13, m14, lpf2, m15)) = mklp(m0, m1, LP_GROUP_NODES, m19), lpf1 = LP_GROUP_NODES ↔ n ∈ gstore, n ∈ gstore0 ↔ lpf2 = LP_GROUP_NODES, lpt0[n] = mklp(m13, m14, lpf2, m15), (∅)[n] = indexblock(indx, lax1, m10), gstore0[n] = groupblock(gndx1, lax2, m11), lpt[n] = mklp(m7, m8, lpf1, m9), gstore[n] = groupblock(gndx, lax, m6), lpt[bleb.leb] = mklp(m3, m4, lpf0, m5), dom istore ∩ elems nx = ∅, ginval < # lpt, n < # lpt, awbuf-inv(avol0, bleb), n ∈ nx, istore0 ⊑ istore, lpf2 = LP_GROUP_NODES → m13 = m11, n ∈ gstore ∧ ¬ n ∈ ginval → avol0[n].mapped? ∧ abs-nodes(avol0[n].data, gndx, lax, m8 = LEB_SIZE) ∧ (m8 ≠ LEB_SIZE → m8 = # avol0[n].data), n ∈ gstore → m7 = m6, avol0[n].mapped? → avol1[n] = mapped(avol0[n].data.align↓), ¬ avol0[n].mapped? ∧ avol1[n].mapped? → # avol1[n].data ≤ LEB_SIZE ∧ is-aligned(# avol1[n].data, EB_PAGE_SIZE), avol0[n].mapped? → is-aligned(# avol0[n].data, EB_PAGE_SIZE), ∀ n. n < # lpt ∧ lpt0[n].flags = LP_FREE → lpt0[n].ref-size = 0, ∀ n. n < # lpt ∧ lpt0[n].flags = LP_GROUP_NODES ∧ lpt[n].flags = LP_GROUP_NODES ∧ ¬ n ∈ nx → lpt[n].size = lpt0[n].size, lpf2 = LP_GROUP_NODES ∨ n ∈ nx, bleb = nobuffer ∨ bleb.leb < # lpt ∧ (nx ≠ [] ∧ bleb.leb = nx.last ∧ lpf0 = LP_GROUP_NODES ∨ lpf0 = LP_INDEX_NODES), n ∈ gstore ∨ n ∈ ginval, n ∈ nx ∨ ¬ n ∈ ginval ⊦ lpf1 = LP_INDEX_NODES, lpf2 = LP_FREE, lpf2 = LP_INDEX_NODES, m0 = (lpf2 = LP_GROUP_NODES ⊃ m11;0), m0 = 0, m13 = 0, n ∈ istore, n ∈ istore0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 100:
# avol0 = # lpt, # lpt0 = # lpt, # avol1 = # lpt, lpf1 = LP_GROUP_NODES ↔ n ∈ gstore, n ∈ gstore0 ↔ lpf2 = LP_GROUP_NODES, lpt0[n] = mklp(m0, m14, lpf2, m15), (∅)[n] = indexblock(indx, lax1, m10), gstore0[n] = groupblock(gndx1, lax2, m11), lpt[n] = mklp(m7, m8, lpf1, m9), gstore[n] = groupblock(gndx, lax, m6), lpt[bleb.leb] = mklp(m3, m4, lpf0, m5), dom istore ∩ elems nx = ∅, ginval < # lpt, n < # lpt, awbuf-inv(avol0, bleb), n ∈ nx, istore0 ⊑ istore, lpf2 = LP_GROUP_NODES → m0 = m11, n ∈ gstore ∧ ¬ n ∈ ginval → avol0[n].mapped? ∧ abs-nodes(avol0[n].data, gndx, lax, m8 = LEB_SIZE) ∧ (m8 ≠ LEB_SIZE → m8 = # avol0[n].data), n ∈ gstore → m7 = m6, avol0[n].mapped? → avol1[n] = mapped(avol0[n].data.align↓), ¬ avol0[n].mapped? ∧ avol1[n].mapped? → # avol1[n].data ≤ LEB_SIZE ∧ is-aligned(# avol1[n].data, EB_PAGE_SIZE), avol0[n].mapped? → is-aligned(# avol0[n].data, EB_PAGE_SIZE), ∀ n. n < # lpt ∧ lpt0[n].flags = LP_FREE → lpt0[n].ref-size = 0, ∀ n. n < # lpt ∧ lpt0[n].flags = LP_GROUP_NODES ∧ lpt[n].flags = LP_GROUP_NODES ∧ ¬ n ∈ nx → lpt[n].size = lpt0[n].size, bleb = nobuffer ∨ bleb.leb < # lpt ∧ (nx ≠ [] ∧ bleb.leb = nx.last ∧ lpf0 = LP_GROUP_NODES ∨ lpf0 = LP_INDEX_NODES), n ∈ gstore ∨ n ∈ ginval ⊦ lpf1 = LP_INDEX_NODES, lpf2 = LP_FREE, lpf2 = LP_INDEX_NODES, m0 = (lpf2 = LP_GROUP_NODES ⊃ m11;0), m0 = 0, n ∈ istore0, n ∈ istore

Rule argument

Additional information

Used simplifier rules: ⊦ n ∈ dom istore ↔ n ∈ istore; (s)%elems-in-notin-ginval: ⊦ n ∈ nx ∧ elems nx ∩ ns = ∅ → ¬ n ∈ ns; (forward) from specification apersistence-base%int-c: ⊦ ns ∩ ns0 = ns0 ∩ ns; from specification set-union[nat-set]%int-a: ⊦ (ns ∩ ns0) ∩ ns1 = ns ∩ ns0 ∩ ns1; from specification set-union[nat-set]%⊦ mklp(m, m0, lpf, m1) = mklp(m2, m3, lpf0, m4) ↔ m = m2 ∧ m0 = m3 ∧ lpf = lpf0 ∧ m1 = m4; (ws)