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Proof step 75 from proof refine-allocate-gnd (previous step)

# lpt1 = # avol0, # lpt0 = # avol0, isbuf ↔ false, lpt1[n0] = mklp(0, m3, LP_FREE, m2), adr = adr0, avol = avol0[n0, mapped(mkbuf(0))], keyset(gch) = gc-heap(lpt1, log1), log = log1, lpt = lpt0, m0 = 0, m1 = n0, ns = ns0, remove-refsize0(gstore0) = gstore0, remove-refsize0(istore0) = istore0, elems log1 ∩ ginval = ∅, dom gstore0 ∪ elems log1 = dom gstore ∪ ginval, n0 < # avol0, ginval < # avol0, abs-gstore(avol0, lpt1, gstore, ginval), abs-istore(avol0, lpt1, istore), awbuf-inv(avol0, bleb), bin-heap-inv(gch, lpt1), buf-ro-rw-mode(false, bleb, lpt1, avol0), bufs-log-only(bleb, log1, lpt1), flash-lpt-cons(lpt0, istore0, gstore0), freelist-cons(lpt1, n0 ' + nx0), inv(gstore \ ginval), inv(gstore0), inv(istore), inv(istore0), log-group-block(log1, lpt1), lpt-free-unref(lpt1), lpt-free-unref(lpt0), lpt-leb-size(lpt1), lpt-leb-size(lpt0), lpt-ram-flash(lpt1, lpt0, log1), synced(avol0), istore0 ⊑ istore, pstate = unbuffered → bleb = nobuffer, pstate.journal? → log1 ≠ [] ∧ pstate.lnum = log1.last ∧ pstate.lnum ∈ gstore, pstate.index? → pstate.lnum ∈ istore, pstate ≠ unbuffered → bleb = buffered(pstate.lnum) ⊦ ⟪if m1 < # avol ∧ avol[m1].mapped? ∧ m0 = # avol[m1].data ∧ synced(avol) then {fail_or_success#(; ; err); if err = ESUCCESS then log := log + m1, bleb := buffered(m1)} else abort; if err ≠ ESUCCESS then freelist := n0 ' + (n0 ' + nx0).tail; log0 := log1; lpt1 := lpt1[n0, mklp(lpt1[n0].ref-size, 0, lpt1[n0].flags, lpt1[n0].gcheapidx)] [n0, lpt1[n0, mklp(lpt1[n0].ref-size, 0, lpt1[n0].flags, lpt1[n0].gcheapidx)][n0].ref-size:= 0 ]; if err = ESUCCESS then {lpt1[n0].flags := LP_GROUP_NODES; log0 := log0 + n0 '}⟫ ⟨pstate0 := pstate; apersistence_allocate_gnd#(adr0, istore, istore0, gstore0, m, ns0, true; ginval, gstore, log1, pstate; err1)⟩ ( abs-istore(avol0[n0, mapped(mkbuf(0))], lpt1, istore) ∧ abs-gstore(avol0[n0, mapped(mkbuf(0))], lpt1, gstore, ginval) ∧ log1 = log0 ∧ ginval < # lpt1 ∧ (pstate = unbuffered → bleb = nobuffer) ∧ (pstate = readonly ↔ pstate0 = readonly) ∧ (pstate ≠ unbuffered ∧ pstate ≠ readonly → bleb = buffered(pstate.lnum)) ∧ err = err1), pstate = readonly, dups(log1)

Heuristic symbolic execution applied rule if positive right

And obtained the following new goals

Proof step 76:
# lpt0 = # avol0, # lpt1 = # avol0, isbuf ↔ false, lpt1[n0] = mklp(0, m3, LP_FREE, m2), adr = adr0, avol = avol0[n0, mapped(mkbuf(0))], keyset(gch) = gc-heap(lpt1, log1), log = log1, lpt = lpt0, m0 = 0, m1 = n0, ns = ns0, remove-refsize0(istore0) = istore0, remove-refsize0(gstore0) = gstore0, elems log1 ∩ ginval = ∅, dom gstore0 ∪ elems log1 = dom gstore ∪ ginval, ginval < # avol0, n0 < # avol0, abs-gstore(avol0, lpt1, gstore, ginval), abs-istore(avol0, lpt1, istore), awbuf-inv(avol0, bleb), bin-heap-inv(gch, lpt1), buf-ro-rw-mode(false, bleb, lpt1, avol0), bufs-log-only(bleb, log1, lpt1), flash-lpt-cons(lpt0, istore0, gstore0), freelist-cons(lpt1, n0 ' + nx0), inv(istore0), inv(istore), inv(gstore0), inv(gstore \ ginval), log-group-block(log1, lpt1), lpt-free-unref(lpt0), lpt-free-unref(lpt1), lpt-leb-size(lpt0), lpt-leb-size(lpt1), lpt-ram-flash(lpt1, lpt0, log1), synced(avol0), istore0 ⊑ istore, pstate ≠ unbuffered → bleb = buffered(pstate.lnum), pstate.index? → pstate.lnum ∈ istore, pstate.journal? → log1 ≠ [] ∧ pstate.lnum = log1.last ∧ pstate.lnum ∈ gstore, pstate = unbuffered → bleb = nobuffer ⊦ ⟪fail_or_success#(; ; err); if err = ESUCCESS then log := log + m1, bleb := buffered(m1); if err ≠ ESUCCESS then freelist := n0 ' + (n0 ' + nx0).tail; log0 := log1; lpt1 := lpt1[n0, mklp(lpt1[n0].ref-size, 0, lpt1[n0].flags, lpt1[n0].gcheapidx)] [n0, lpt1[n0, mklp(lpt1[n0].ref-size, 0, lpt1[n0].flags, lpt1[n0].gcheapidx)][n0].ref-size:= 0 ]; if err = ESUCCESS then {lpt1[n0].flags := LP_GROUP_NODES; log0 := log0 + n0 '}⟫ ⟨pstate0 := pstate; apersistence_allocate_gnd#(adr0, istore, istore0, gstore0, m, ns0, true; ginval, gstore, log1, pstate; err1)⟩ ( abs-istore(avol0[n0, mapped(mkbuf(0))], lpt1, istore) ∧ abs-gstore(avol0[n0, mapped(mkbuf(0))], lpt1, gstore, ginval) ∧ log1 = log0 ∧ ginval < # lpt1 ∧ (pstate = unbuffered → bleb = nobuffer) ∧ (pstate = readonly ↔ pstate0 = readonly) ∧ (pstate ≠ unbuffered ∧ pstate ≠ readonly → bleb = buffered(pstate.lnum)) ∧ err = err1), pstate = readonly, dups(log1)

Rule argument

pos: right 1

Additional information

Used simplifier rules: ⊦ # avol[n, aleb] = # avol; (s)% ⊦ m < # avol → avol[m, aleb][m] = aleb; (s)% ⊦ mapped(buf).mapped?; (s)% ⊦ mapped(buf).data = buf; (s)% ⊦ # mkbuf(n) = n; (s)% ⊦ synced(avol) → (synced(avol[n, mapped(mkbuf(0))]) ↔ true); (ss)