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Proof step 17 from proof inv-get-gc-block (previous step)

# lpt = # avol, bh = bin-heap(kar, m), keyset(bin-heap(kar, m)) = gc-heap(lpt, log), 0 < # bh.ar, bin-heap-inv(bin-heap(kar, m), lpt), buf-ro-rw-mode(isbuf, bleb, lpt, avol), bufs-log-only(bleb, log, lpt), freelist-cons(lpt, freelist), log-group-block(log, lpt), lpt-free-unref(lpt), lpt-leb-size(lpt), lpt-ram-flash(lpt, lpt0, log) ⊦ m = 0, dups(log), (ESUCCESS = ENOSPC ∨ ESUCCESS = ESUCCESS) ∧ (ESUCCESS ≠ ESUCCESS → bh.ar[0].idx = n0) ∧ (ESUCCESS = ESUCCESS → bh.ar[0].idx < # avol ∧ lpt[bh.ar[0].idx].flags = LP_GROUP_NODES ∧ ¬ bh.ar[0].idx ∈ log)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 18:
# lpt = # avol, keyset(bin-heap(kar, m)) = gc-heap(lpt, log), bin-heap-inv(bin-heap(kar, m), lpt), buf-ro-rw-mode(isbuf, bleb, lpt, avol), bufs-log-only(bleb, log, lpt), freelist-cons(lpt, freelist), log-group-block(log, lpt), lpt-free-unref(lpt), lpt-leb-size(lpt), lpt-ram-flash(lpt, lpt0, log) ⊦ # kar = 0, m = 0, dups(log), kar[0].idx < # avol ∧ lpt[kar[0].idx].flags = LP_GROUP_NODES ∧ ¬ kar[0].idx ∈ log

Rule argument

Additional information

Used simplifier rules: ⊦ ESUCCESS ≠ ENOSPC; (s)% ⊦ 0 < m ↔ m ≠ 0; (s)% ⊦ bin-heap(kar, m).ar = kar; (s)