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Proof step 8 from proof crash-neutral-recovery (previous step)

adr = adr3, ginval0 = ginval2, ginval4 = ginval, gstore = gstore3, gstore1 = crash(gstore4, gstore3, ginval, nx), istore = istore3, istore0 = istore4, maxino = maxino3, nx2 = nx, remove-refsize0(istore3) = istore3, remove-refsize0(gstore3) = gstore3, elems nx ∩ ginval = ∅, dom gstore3 ∪ elems nx = dom gstore4 ∪ ginval, inv(istore3), inv(istore4), inv(gstore3), inv(gstore4 \ ginval), istore3 ⊑ istore4, pstate.index? → pstate.lnum ∈ istore4, pstate.journal? → nx ≠ [] ∧ pstate.lnum = nx.last ∧ pstate.lnum ∈ gstore4 ⊦ (⌊EIO⌋ ∨ EIO = ESUCCESS) ∧ ⟨err := EIO; if err = ESUCCESS then pstate := unbuffered, syn := true, adr0 := adr, maxino0 := maxino, nx0 := nx, ginval1 := ginval0 else pstate := ?, syn := ?, adr := ?, istore0 := ?, istore := ?, ginval := ?, gstore4 := ?, gstore := ?, nx := ?, maxino := ?, ginval0 := ?, adr0 := ?, maxino0 := ?, nx0 := ?, ginval1 := ?⟩ ( syn ∧ adr3 = adr ∧ remove-refsize0(crash(istore4, istore)) = remove-refsize0(crash(istore0, istore)) ∧ istore3 = istore ∧ ginval4 = ginval ∧ gstore1 = crash(gstore4, gstore, ginval, nx) ∧ gstore3 = gstore ∧ nx2 = nx ∧ maxino3 = maxino ∧ ginval2 = ginval0), dups(nx)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
adr = adr3, ginval0 = ginval2, ginval4 = ginval, gstore = gstore3, gstore1 = crash(gstore4, gstore3, ginval, nx), istore = istore3, istore0 = istore4, maxino = maxino3, nx2 = nx, remove-refsize0(gstore3) = gstore3, remove-refsize0(istore3) = istore3, elems nx ∩ ginval = ∅, dom gstore3 ∪ elems nx = dom gstore4 ∪ ginval, inv(gstore4 \ ginval), inv(gstore3), inv(istore4), inv(istore3), istore3 ⊑ istore4, ¬ dups(nx), pstate.journal? → nx ≠ [] ∧ pstate.lnum = nx.last ∧ pstate.lnum ∈ gstore4, pstate.index? → pstate.lnum ∈ istore4 ⊦ ⟨err := EIO; if err = ESUCCESS then pstate := unbuffered, syn := true, adr0 := adr, maxino0 := maxino, nx0 := nx, ginval1 := ginval0 else pstate := ?, syn := ?, adr := ?, istore0 := ?, istore := ?, ginval := ?, gstore4 := ?, gstore := ?, nx := ?, maxino := ?, ginval0 := ?, adr0 := ?, maxino0 := ?, nx0 := ?, ginval1 := ?⟩ ( syn ∧ adr3 = adr ∧ remove-refsize0(crash(istore4, istore)) = remove-refsize0(crash(istore0, istore)) ∧ istore3 = istore ∧ ginval4 = ginval ∧ gstore1 = crash(gstore4, gstore, ginval, nx) ∧ gstore3 = gstore ∧ nx2 = nx ∧ maxino3 = maxino ∧ ginval2 = ginval0)

Rule argument

Additional information

Used simplifier rules: ⊦ ⌊EIO⌋ ; (s)