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Proof step 406 from proof refine-sync (previous step)

# lpt0 = # avol, # lpt1 = # avol, lpt1[bleb1.leb] = mklp(m0, m5, lpf, m4), keyset(gch) = gc-heap(lpt1, log1), pstate = readonly, remove-refsize0(gstore0) = gstore0, remove-refsize0(istore0) = istore0, elems log1 ∩ ginval = ∅, dom gstore0 ∪ elems log1 = dom gstore ∪ ginval, ginval < # avol, abs-gstore(avol, lpt1, gstore, ginval), abs-istore(avol, lpt1, istore), awbuf-inv(avol, bleb1), bin-heap-inv(gch, lpt1), buf-ro-rw-mode(true, bleb1, lpt1, avol), bufs-log-only(bleb1, log1, lpt1), flash-lpt-cons(lpt0, istore0, gstore0), freelist-cons(lpt1, freelist), inv(gstore \ ginval), inv(gstore0), inv(istore), inv(istore0), 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), istore0 ⊑ istore, ¬ dups(log1), isbuf1 → synced(avol) ⊦ ⟨apersistence_sync#(adr0, istore, istore0, ginval, gstore, gstore0, log1, m, ns0; pstate, isbuf1; err0)⟩ ((isbuf1 → synced(avol)) ∧ pstate = readonly ∧ EROFS = err0)

Heuristic nonrecursive calls applied rule call right

And obtained the following new goals

Proof step 407:
# lpt1 = # avol, # lpt0 = # avol, isbuf ↔ isbuf1, lpt1[bleb1.leb] = mklp(m0, m5, lpf, m4), adr = adr0, gstore = gstore1, gstore0 = gstore2, istore = istore1, istore0 = istore2, keyset(gch) = gc-heap(lpt1, log1), log = log1, maxino = m, ns = ns0, pstate = readonly, remove-refsize0(istore1) = istore1, remove-refsize0(gstore1) = gstore1, elems log1 ∩ ginval = ∅, dom gstore1 ∪ elems log1 = dom gstore2 ∪ ginval, ginval < # avol, abs-gstore(avol, lpt1, gstore2, ginval), abs-istore(avol, lpt1, istore2), awbuf-inv(avol, bleb1), bin-heap-inv(gch, lpt1), buf-ro-rw-mode(true, bleb1, lpt1, avol), bufs-log-only(bleb1, log1, lpt1), flash-lpt-cons(lpt0, istore1, gstore1), freelist-cons(lpt1, freelist), inv(istore1), inv(istore2), inv(gstore1), inv(gstore2 \ ginval), 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), istore1 ⊑ istore2, isbuf1 → synced(avol) ⊦ ⟨if pstate = readonly then err := EROFS else if pstate = unbuffered then err := ESUCCESS else {fail_or_success#(; ; err); isbuf := err = ESUCCESS; skip or pstate := readonly}⟩ ((isbuf → synced(avol)) ∧ pstate = readonly ∧ EROFS = err), dups(log1)

Rule argument

pos: right 1

Additional information

Used simplifier rules: apersistence_sync# (ROOTADR, ISTORE, ISTORE0, GINVAL, GSTORE, GSTORE0, NL, MAXINO, OS ; PSTATE, PSYNCED ; ERR ) {if PSTATE = readonly then ERR := EROFS else if PSTATE = unbuffered then ERR := ESUCCESS else {fail_or_success#(; ; ERR); PSYNCED := ERR = ESUCCESS; skip or PSTATE := readonly} };