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Proof step 3 from proof crash-neutral-commit (previous step)

adr = adr0, ginval0 = ginval, ginval1 = ginval2, gstore1 = crash(gstore, gstore0, ginval, nx), gstore2 = gstore0, istore1 = remove-refsize0(crash(istore, istore0)), istore2 = istore0, maxino = maxino0, nx0 = nx, remove-refsize0(gstore0) = gstore0, remove-refsize0(istore0) = istore0, dom remove-refsize0(gstore) ∩ ginval = ∅, elems nx ∩ ginval = ∅, dom gstore0 ∪ elems nx = dom gstore ∪ ginval, inv(gstore \ ginval), inv(gstore0), inv(istore), inv(istore0), istore0 ⊑ istore, ¬ dups(nx), pstate.journal? → nx ≠ [] ∧ pstate.lnum = nx.last ∧ pstate.lnum ∈ gstore, pstate.index? → pstate.lnum ∈ istore ⊦ ⟨apersistence_commit#(adr1, maxino1, true; ginval3, istore, ginval, gstore, adr0, istore0, gstore0, nx, maxino0, ginval2; pstate, err)⟩ ( adr = adr0 ∧ istore1 = remove-refsize0(crash(istore, istore0)) ∧ istore2 = istore0 ∧ ginval0 = ginval ∧ gstore1 = crash(gstore, gstore0, ginval, nx) ∧ gstore2 = gstore0 ∧ nx0 = nx ∧ maxino = maxino0 ∧ ginval1 = ginval2)

Heuristic nonrecursive calls applied rule call right

And obtained the following new goals

Proof step 4:
syn ↔ true, adr = adr3, adr0 = adr1, adr2 = adr3, ginval = ginval2, ginval0 = ginval6, ginval1 = ginval3, ginval4 = ginval6, ginval5 = ginval2, gstore = gstore3, gstore0 = gstore4, gstore1 = crash(gstore4, gstore3, ginval6, nx), gstore2 = gstore3, istore = istore3, istore0 = istore4, istore1 = remove-refsize0(crash(istore4, istore3)), istore2 = istore3, maxino = maxino3, maxino0 = maxino1, maxino2 = maxino3, nx0 = nx, remove-refsize0(istore3) = istore3, remove-refsize0(gstore3) = gstore3, elems nx ∩ ginval6 = ∅, dom remove-refsize0(gstore4) ∩ ginval6 = ∅, dom gstore3 ∪ elems nx = dom gstore4 ∪ ginval6, inv(istore3), inv(istore4), inv(gstore3), inv(gstore4 \ ginval6), istore3 ⊑ istore4, pstate.index? → pstate.lnum ∈ istore4, pstate.journal? → nx ≠ [] ∧ pstate.lnum = nx.last ∧ pstate.lnum ∈ gstore4 ⊦ ⟨if syn ∧ dom remove-refsize0(gstore0) ∩ ginval0 = ∅ then {fail_or_success#(; ; err); if err = ESUCCESS then {istore0 := remove-refsize0(istore0); istore := istore0; gstore0 := remove-refsize0(gstore0); gstore := gstore0; ginval0 := ∅; adr := adr0; ginval := ginval1; nx := []; maxino := maxino0; pstate := unbuffered} else pstate := readonly; ginval1 := ?} else abort⟩ ( adr2 = adr ∧ istore1 = remove-refsize0(crash(istore0, istore)) ∧ istore2 = istore ∧ ginval4 = ginval0 ∧ gstore1 = crash(gstore0, gstore, ginval0, nx) ∧ gstore2 = gstore ∧ nx0 = nx ∧ maxino2 = maxino ∧ ginval5 = ginval), dups(nx)

Rule argument

pos: right 1

Additional information

Used simplifier rules: commit: ⊦ ;