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Proof step 77 from proof inv-recover (previous step)

# avol2 = # avol0, # lpt2 = # avol0, # avol = # avol0, # lpt3 = # avol0, (lpt3[n].flags = LP_FREE ∨ n ∈ log2 ⊃ replay-log(lpt3, log2)[n] ;(lpt3[n].flags = LP_INDEX_NODES ∧ lpt3[n].ref-size ≠ 0 ⊃ mklp(lpt3[n].ref-size, LEB_SIZE, lpt3[n].flags, lpt3[n].gcheapidx) ;(lpt3[n].ref-size = 0 ⊃ mklp(0, 0, LP_FREE, lpt3[n].gcheapidx);lpt3[n]) ) ) = mklp(m, m0, lpf, m1), gc-heap(replay-lpt(replay-log(lpt3, log2), log2, # avol0), log2) = keyset(gch), keyset(gch1) = gc-heap(lpt2, log2), LEB_SIZE < m0, n < # avol0, avol-replay-lpt-unchanged(avol, avol2, replay-log(lpt3, log2), log2), awbuf-inv(avol0, bleb1), awbuf-inv(avol2, nobuffer), bin-heap-inv(gch, lpt), bin-heap-inv(gch1, lpt2), buf-ro-rw-mode(isbuf1, bleb1, lpt2, avol0), bufs-log-only(bleb1, log2, lpt2), freelist-cons(replay-lpt(replay-log(lpt3, log2), log2, # avol0), freelist), freelist-cons(lpt2, log5), id-idx(replay-lpt(replay-log(lpt3, log2), log2, # avol0), lpt), log-group-block(log2, replay-lpt(replay-log(lpt3, log2), log2, # avol0)), log-group-block(log2, lpt2), lpt-free-unref(lpt3), lpt-free-unref(lpt2), lpt-leb-size(lpt3), lpt-leb-size(lpt2), lpt-ram-flash(lpt2, lpt3, log2), synced(avol), synced(avol0), valid-indices(lpt3, log2), avol ↓ avol0 ⊦ dups(log2)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 78:
# lpt3 = # avol0, # avol = # avol0, # lpt2 = # avol0, # avol2 = # avol0, (lpf0 = LP_FREE ∨ n ∈ log2 ⊃ replay-log(lpt3, log2)[n] ;(lpf0 = LP_INDEX_NODES ∧ m2 ≠ 0 ⊃ mklp(m2, LEB_SIZE, lpf0, m4);(m2 = 0 ⊃ mklp(0, 0, LP_FREE, m4);lpt3[n])) ) = mklp(m, m0, lpf, m1), lpt3[n] = mklp(m2, m3, lpf0, m4), gc-heap(replay-lpt(replay-log(lpt3, log2), log2, # avol0), log2) = keyset(gch), keyset(gch1) = gc-heap(lpt2, log2), n < # avol0, LEB_SIZE < m0, avol-replay-lpt-unchanged(avol, avol2, replay-log(lpt3, log2), log2), awbuf-inv(avol2, nobuffer), awbuf-inv(avol0, bleb1), bin-heap-inv(gch1, lpt2), bin-heap-inv(gch, lpt), buf-ro-rw-mode(isbuf1, bleb1, lpt2, avol0), bufs-log-only(bleb1, log2, lpt2), freelist-cons(lpt2, log5), freelist-cons(replay-lpt(replay-log(lpt3, log2), log2, # avol0), freelist), id-idx(replay-lpt(replay-log(lpt3, log2), log2, # avol0), lpt), log-group-block(log2, lpt2), log-group-block(log2, replay-lpt(replay-log(lpt3, log2), log2, # avol0)), lpt-free-unref(lpt2), lpt-free-unref(lpt3), lpt-leb-size(lpt2), lpt-leb-size(lpt3), lpt-ram-flash(lpt2, lpt3, log2), synced(avol0), synced(avol), valid-indices(lpt3, log2), avol ↓ avol0 ⊦ dups(log2)

Rule argument

spec: lprops name: elim seq: ⊦ ((m = lp.ref-size ∧ m0 = lp.size) ∧ lpf = lp.flags) ∧ m1 = lp.gcheapidx ↔ lp = mklp(m, m0, lpf, m1) subst: [lp, m, m0, lpf, m1] → [lpt3[n], m2, m3, lpf0, m4]

Additional information

Used simplifier rules: ⊦ ((m = lp.ref-size ∧ m0 = lp.size) ∧ lpf = lp.flags) ∧ m1 = lp.gcheapidx ↔ lp = mklp(m, m0, lpf, m1); (elim) Used terms: lpt3[n], m2, m3, lpf0, m4