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Proof step 32 from proof inv-allocate-ind (previous step)

# lpt1 = # avol, # lpt0 = # avol, lpt1[n0] = mklp(0, m1, LP_FREE, m2), keyset(gch) = gc-heap(lpt1, log0), buffered(n0) ≠ bleb, n0 < # avol, awbuf-inv(avol, bleb), bin-heap-inv(gch, lpt1), buf-ro-rw-mode(false, bleb, lpt1, avol), bufs-log-only(bleb, log0, lpt1), freelist-cons(lpt1, n0 ' + nx0), log-group-block(log0, lpt1), lpt-free-unref(lpt0), lpt-free-unref(lpt1), lpt-leb-size(lpt0), lpt-leb-size(lpt1), lpt-ram-flash(lpt1, lpt0, log0), synced(avol) ⊦ [fail_or_success#(; ; err); if err = ESUCCESS then avol[n0] := mapped(mkbuf(0)) else {skip or avol[n0] := unmapped}] ( awbuf-inv(avol, bleb) ∧ # lpt0 = # avol → ⟪n := n0; freelist := n0 ' + nx0; if err = ESUCCESS then {freelist := freelist.tail; lpt1[n] := mklp(lpt1[n].ref-size, 0, lpt1[n].flags, lpt1[n].gcheapidx); lpt1[n].ref-size := 0}; isbuf1 := false; if err = ESUCCESS then {awbuf_move_buf#(n, 0, adr, m, log0, avol, lpt0, ns, isbuf1; bleb; err); if err ≠ ESUCCESS then freelist := n ' + freelist else lpt1[n].flags := LP_INDEX_NODES}⟫ ( lpt-free-unref(lpt1) ∧ freelist-cons(lpt1, freelist) ∧ bin-heap-inv(gch, lpt1) ∧ keyset(gch) = gc-heap(lpt1, log0) ∧ bufs-log-only(bleb, log0, lpt1) ∧ # lpt1 = # avol ∧ log-group-block(log0, lpt1) ∧ buf-ro-rw-mode(isbuf1, bleb, lpt1, avol) ∧ lpt-leb-size(lpt1) ∧ lpt-ram-flash(lpt1, lpt0, log0) ∧ awbuf-inv(avol, bleb)))

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 33:
# lpt0 = # avol, # lpt1 = # avol, lpt1[n0] = mklp(0, m1, LP_FREE, m2), keyset(gch) = gc-heap(lpt1, log0), n0 < # avol, awbuf-inv(avol, bleb), bin-heap-inv(gch, lpt1), buf-ro-rw-mode(false, bleb, lpt1, avol), bufs-log-only(bleb, log0, lpt1), freelist-cons(lpt1, n0 ' + nx0), log-group-block(log0, lpt1), lpt-free-unref(lpt1), lpt-free-unref(lpt0), lpt-leb-size(lpt1), lpt-leb-size(lpt0), lpt-ram-flash(lpt1, lpt0, log0), synced(avol) ⊦ [choose err0 with ⌊err0⌋ ∨ err0 = ESUCCESS in err := err0; if err = ESUCCESS then avol[n0] := mapped(mkbuf(0)) else {skip or avol[n0] := unmapped}] ( awbuf-inv(avol, bleb) ∧ # lpt0 = # avol → ⟪n := n0; freelist := n0 ' + nx0; if err = ESUCCESS then {freelist := freelist.tail; lpt1[n] := mklp(lpt1[n].ref-size, 0, lpt1[n].flags, lpt1[n].gcheapidx); lpt1[n].ref-size := 0}; isbuf1 := false; if err = ESUCCESS then {awbuf_move_buf#(n, 0, adr, m, log0, avol, lpt0, ns, isbuf1; bleb; err); if err ≠ ESUCCESS then freelist := n ' + freelist else lpt1[n].flags := LP_INDEX_NODES}⟫ ( lpt-free-unref(lpt1) ∧ freelist-cons(lpt1, freelist) ∧ bin-heap-inv(gch, lpt1) ∧ keyset(gch) = gc-heap(lpt1, log0) ∧ bufs-log-only(bleb, log0, lpt1) ∧ # lpt1 = # avol ∧ log-group-block(log0, lpt1) ∧ buf-ro-rw-mode(isbuf1, bleb, lpt1, avol) ∧ lpt-leb-size(lpt1) ∧ lpt-ram-flash(lpt1, lpt0, log0) ∧ awbuf-inv(avol, bleb))), buffered(n0) = bleb

Rule argument

pos: right 1

Additional information

Used simplifier rules: fail_or_success#(; ; ERR) {choose ERR0 with ⌊ERR0⌋ ∨ ERR0 = ESUCCESS in ERR := ERR0};