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Proof step 171 from proof refine-allocate-gnd (previous step)

# lpt1 = # avol, # lpt0 = # avol, lpt1[n0] = mklp(0, m1, LP_FREE, m2), keyset(gch) = gc-heap(lpt1, log1), log = log1, pstate0 = pstate, remove-refsize0(gstore0) = gstore0, remove-refsize0(istore0) = istore0, elems log1 ∩ ginval = ∅, dom gstore0 ∪ elems log1 = dom gstore ∪ ginval, pstate ≠ readonly, ginval < # avol, n0 < # avol, abs-gstore(avol, lpt1, gstore, ginval), abs-istore(avol, lpt1, istore), awbuf-inv(avol, bleb), bin-heap-inv(gch, lpt1), buf-ro-rw-mode(false, bleb, lpt1, avol), 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(avol), istore0 ⊑ istore, ⌊err0⌋ , ¬ dups(log1), 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) ⊦ ⟨apersistence_allocate_gnd#(adr0, istore, istore0, gstore0, m, ns0, true; ginval, gstore, log1, pstate; err1)⟩ ( abs-gstore(avol, lpt1, gstore, ginval) ∧ log1 = log ∧ ginval < # avol ∧ (pstate = unbuffered → bleb = nobuffer) ∧ (pstate = readonly ↔ pstate0 = readonly) ∧ (pstate ≠ unbuffered ∧ pstate ≠ readonly → bleb = buffered(pstate.lnum)) ∧ err0 = err1)

Heuristic nonrecursive calls applied rule call right

And obtained the following new goals

Proof step 172:
# lpt0 = # avol, # lpt1 = # avol, isbuf ↔ true, lpt1[n0] = mklp(0, m1, LP_FREE, m2), adr = adr0, istore = istore1, istore0 = istore2, keyset(gch) = gc-heap(lpt1, log1), log = log1, log0 = log1, maxino = m, ns = ns0, pstate0 = pstate, remove-refsize0(istore1) = istore1, remove-refsize0(gstore0) = gstore0, elems log1 ∩ ginval = ∅, dom gstore0 ∪ elems log1 = dom gstore ∪ ginval, n0 < # avol, ginval < # avol, abs-gstore(avol, lpt1, gstore, ginval), abs-istore(avol, lpt1, istore2), awbuf-inv(avol, bleb), bin-heap-inv(gch, lpt1), buf-ro-rw-mode(false, bleb, lpt1, avol), bufs-log-only(bleb, log1, lpt1), flash-lpt-cons(lpt0, istore1, gstore0), freelist-cons(lpt1, n0 ' + nx0), inv(istore1), inv(istore2), 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(avol), istore1 ⊑ istore2, ⌊err0⌋ , pstate ≠ unbuffered → bleb = buffered(pstate.lnum), pstate.index? → pstate.lnum ∈ istore2, pstate.journal? → log1 ≠ [] ∧ pstate.lnum = log1.last ∧ pstate.lnum ∈ gstore, pstate = unbuffered → bleb = nobuffer ⊦ ⟨if isbuf then if pstate = readonly then err := EROFS else {fail_or_success#(; ; err); if err = ESUCCESS then choose n with ¬ n ∈ gstore in gstore[n] := groupblock([], [], 0), log := log + n, ginval := ginval -- n, pstate := journal(n)} else abort⟩ ( abs-gstore(avol, lpt1, gstore, ginval) ∧ log = log0 ∧ ginval < # avol ∧ (pstate = unbuffered → bleb = nobuffer) ∧ (pstate = readonly ↔ pstate0 = readonly) ∧ (pstate ≠ unbuffered ∧ pstate ≠ readonly → bleb = buffered(pstate.lnum)) ∧ err0 = err), pstate = readonly, dups(log1)

Rule argument

pos: right 1

Additional information

Used simplifier rules: apersistence_allocate_gnd# (ROOTADR, ISTORE, ISTORE0, GSTORE0, MAXINO, OS, PSYNCED ; GINVAL, GSTORE, NL, PSTATE ; ERR ) {if PSYNCED then if PSTATE = readonly then ERR := EROFS else {fail_or_success#(; ; ERR); if ERR = ESUCCESS then choose N with ¬ N ∈ GSTORE in GSTORE[N] := groupblock([], [], 0), NL := NL + N, GINVAL := GINVAL -- N, PSTATE := journal(N)} else abort };