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Proof step 10 from proof inv-allocate-gnd (previous step)

# lpt0 = # avol, # lpt = # avol, isbuf0 ↔ isbuf1, keyset(gch) = gc-heap(lpt, log1), log = log1, awbuf-inv(avol, bleb), bin-heap-inv(gch, lpt), buf-ro-rw-mode(isbuf1, bleb, lpt, avol), bufs-log-only(bleb, log1, lpt), freelist-cons(lpt, freelist), log-group-block(log1, lpt), lpt-free-unref(lpt0), lpt-free-unref(lpt), lpt-leb-size(lpt0), lpt-leb-size(lpt), lpt-ram-flash(lpt, lpt0, log1), synced(avol) ⊦ ⟪awbuf_is_readonly#(adr, m, log, avol, lpt0, ns, bleb, isbuf0; ; isbuf); if isbuf then err := EROFS else if freelist = [] then err := ENOSPC else {n := freelist.head; awbuf_remap#(n, adr, m, log, lpt0, ns, bleb, isbuf0; avol; err); if err = ESUCCESS then {freelist := freelist.tail; lpt[n].size := 0; lpt[n].ref-size := 0}}; log := log1; if err = ESUCCESS then {awbuf_add_log_leb#(n, 0, adr, m, avol, lpt0, ns, isbuf1; log, bleb; err); if err ≠ ESUCCESS then freelist := n ' + freelist}; if err = ESUCCESS then {lpt[n].flags := LP_GROUP_NODES; log1 := log1 + n '}⟫ ( lpt-free-unref(lpt) ∧ freelist-cons(lpt, freelist) ∧ log1 = log ∧ bin-heap-inv(gch, lpt) ∧ keyset(gch) = gc-heap(lpt, log) ∧ bufs-log-only(bleb, log, lpt) ∧ # lpt = # avol ∧ ¬ dups(log) ∧ log-group-block(log, lpt) ∧ buf-ro-rw-mode(isbuf1, bleb, lpt, avol) ∧ lpt-leb-size(lpt) ∧ lpt-ram-flash(lpt, lpt0, log) ∧ awbuf-inv(avol, bleb) ∧ # lpt0 = # avol), dups(log1)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 11:
# lpt = # avol, # lpt0 = # avol, keyset(gch) = gc-heap(lpt, log1), awbuf-inv(avol, bleb), bin-heap-inv(gch, lpt), buf-ro-rw-mode(isbuf1, bleb, lpt, avol), bufs-log-only(bleb, log1, lpt), freelist-cons(lpt, freelist), log-group-block(log1, lpt), lpt-free-unref(lpt), lpt-free-unref(lpt0), lpt-leb-size(lpt), lpt-leb-size(lpt0), lpt-ram-flash(lpt, lpt0, log1), synced(avol), ¬ dups(log1) ⊦ ⟪awbuf_is_readonly#(adr, m, log1, avol, lpt0, ns, bleb, isbuf1; ; isbuf); if isbuf then err := EROFS else if freelist = [] then err := ENOSPC else {n := freelist.head; awbuf_remap#(n, adr, m, log1, lpt0, ns, bleb, isbuf1; avol; err); if err = ESUCCESS then {freelist := freelist.tail; lpt[n] := mklp(lpt[n].ref-size, 0, lpt[n].flags, lpt[n].gcheapidx); lpt[n].ref-size := 0}}; log := log1; if err = ESUCCESS then {awbuf_add_log_leb#(n, 0, adr, m, avol, lpt0, ns, isbuf1; log, bleb; err); if err ≠ ESUCCESS then freelist := n ' + freelist}; if err = ESUCCESS then {lpt[n].flags := LP_GROUP_NODES; log1 := log1 + n '}⟫ ( lpt-free-unref(lpt) ∧ freelist-cons(lpt, freelist) ∧ log1 = log ∧ bin-heap-inv(gch, lpt) ∧ keyset(gch) = gc-heap(lpt, log) ∧ bufs-log-only(bleb, log, lpt) ∧ # lpt = # avol ∧ ¬ dups(log) ∧ log-group-block(log, lpt) ∧ buf-ro-rw-mode(isbuf1, bleb, lpt, avol) ∧ lpt-leb-size(lpt) ∧ lpt-ram-flash(lpt, lpt0, log) ∧ awbuf-inv(avol, bleb) ∧ # lpt0 = # avol)

Rule argument

Additional information

Used simplifier rules: elim-lp-upd-size: ⊦ lp.size:= n = mklp(lp.ref-size, n, lp.flags, lp.gcheapidx);