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Proof step 58 from proof initialization (previous step)

awbuf-inv(fill(mkavolume(m3), unmapped), nobuffer), freelist-cons(fill(mklparray(m3), mklp(0, 0, LP_FREE, 0)), freelist), synced(fill(mkavolume(m3), unmapped)) ⊦ flash-lpt-cons(fill(mklparray(m3), mklp(0, 0, LP_FREE, 0)), ∅, ∅)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 59:
⊦ flash-lpt-cons(lpt0, istore0, gstore0) ↔ lpt-free-unref(lpt0) ∧ (∀ n. n < # lpt0 → (n ∈ istore0 ↔ lpt0[n].flags = LP_INDEX_NODES ∧ lpt0[n].ref-size ≠ 0) ∧ (n ∈ gstore0 ↔ lpt0[n].flags = LP_GROUP_NODES ∧ lpt0[n].ref-size ≠ 0) ∧ (n ∈ istore0 → lpt0[n].ref-size = istore0[n].ref-size) ∧ (n ∈ gstore0 → lpt0[n].ref-size = gstore0[n].ref-size) ∧ (lpt0[n].flags = LP_FREE → lpt0[n].ref-size = 0))
Proof step 60:
awbuf-inv(fill(mkavolume(m3), unmapped), nobuffer), freelist-cons(fill(mklparray(m3), mklp(0, 0, LP_FREE, 0)), freelist), synced(fill(mkavolume(m3), unmapped)) ⊦ lpt-free-unref(fill(mklparray(m3), mklp(0, 0, LP_FREE, 0))) ∧ (∀ n. n < # fill(mklparray(m3), mklp(0, 0, LP_FREE, 0)) → ( n ∈ ∅ ↔ fill(mklparray(m3), mklp(0, 0, LP_FREE, 0))[n].flags = LP_INDEX_NODES ∧ fill(mklparray(m3), mklp(0, 0, LP_FREE, 0))[n].ref-size ≠ 0) ∧ ( n ∈ ∅ ↔ fill(mklparray(m3), mklp(0, 0, LP_FREE, 0))[n].flags = LP_GROUP_NODES ∧ fill(mklparray(m3), mklp(0, 0, LP_FREE, 0))[n].ref-size ≠ 0) ∧ (n ∈ ∅ → fill(mklparray(m3), mklp(0, 0, LP_FREE, 0))[n].ref-size = (∅)[n].ref-size) ∧ (n ∈ ∅ → fill(mklparray(m3), mklp(0, 0, LP_FREE, 0))[n].ref-size = (∅)[n].ref-size) ∧ (fill(mklparray(m3), mklp(0, 0, LP_FREE, 0))[n].flags = LP_FREE → fill(mklparray(m3), mklp(0, 0, LP_FREE, 0))[n].ref-size = 0))

Rule argument

spec: persistence-base name: flash-lpt-cons seq: ⊦ flash-lpt-cons(lpt0, istore0, gstore0) ↔ lpt-free-unref(lpt0) ∧ (∀ n. n < # lpt0 → ( n ∈ istore0 ↔ lpt0[n].flags = LP_INDEX_NODES ∧ lpt0[n].ref-size ≠ 0) ∧ ( n ∈ gstore0 ↔ lpt0[n].flags = LP_GROUP_NODES ∧ lpt0[n].ref-size ≠ 0) ∧ ( n ∈ istore0 → lpt0[n].ref-size = istore0[n].ref-size) ∧ ( n ∈ gstore0 → lpt0[n].ref-size = gstore0[n].ref-size) ∧ (lpt0[n].flags = LP_FREE → lpt0[n].ref-size = 0)) subst: [gstore0, istore0, lpt0] → [∅, ∅, fill(mklparray(m3), mklp(0, 0, LP_FREE, 0))] flags: <all paths>

Additional information

Used terms: ∅, ∅, fill(mklparray(m3), mklp(0, 0, LP_FREE, 0))