Proof step 13 from proof inv-add-gnds (previous step)

Heuristic symbolic execution applied rule choose right

And obtained the following new goals

• Proof step 14:

  err = ESUCCESS ↔ # lax = # gndx, ginval = ginval1, ginval0 = ginval2, istore = istore1, istore0 = istore2, pstate = journal(nx.last), remove-refsize0(istore1) = istore1, remove-refsize0(gstore0) = gstore0, elems nx ∩ ginval2 = ∅, dom gstore0 ∪ elems nx = dom gstore ∪ ginval2, inv(gstore[nx.last]), inv(istore1), inv(istore2), inv(gstore0), inv(gstore \ ginval2), inv-flashsize(prefixn(# lax, gndx), lax), nx.last ∈ gstore, # lax ≤ # gndx, istore1 ⊑ istore2, ⌊err⌋ ∨ err = ESUCCESS ⊦ ⟪ax := lax.to-adr(pstate.lnum), err0 := err; gstore[pstate.lnum].gndlist := gstore[pstate.lnum].gndlist + prefixn(# lax, gndx); gstore[pstate.lnum].ladrlist := gstore[pstate.lnum].ladrlist + lax; if err0 ≠ ESUCCESS then ax := ?, pstate := readonly; syn := ?⟫ ( inv(gstore \ ginval2) ∧ dom gstore0 ∪ elems nx = dom gstore ∪ ginval2 ∧ (pstate.journal? → pstate.lnum = nx.last ∧ pstate.lnum ∈ gstore) ∧ (pstate.index? → pstate.lnum ∈ istore2) ∧ (pstate = unbuffered → syn)), nx = [], dups(nx), dups(gstore[pstate.lnum].ladrlist + lax)

• Proof step 38:

  ginval = ginval1, ginval0 = ginval2, istore = istore1, istore0 = istore2, pstate = journal(nx.last), remove-refsize0(istore1) = istore1, remove-refsize0(gstore0) = gstore0, elems nx ∩ ginval2 = ∅, dom gstore0 ∪ elems nx = dom gstore ∪ ginval2, inv(gstore[nx.last]), inv(istore1), inv(istore2), inv(gstore0), inv(gstore \ ginval2), nx.last ∈ gstore, istore1 ⊑ istore2 ⊦ nx = [], dups(nx), ∃ lax, err. (⌊err⌋ ∨ err = ESUCCESS) ∧ ¬ dups(gstore[pstate.lnum].ladrlist + lax) ∧ # lax ≤ # gndx ∧ inv-flashsize(prefixn(# lax, gndx), lax) ∧ (err = ESUCCESS ↔ # lax = # gndx)

• Proof step 43:

  ginval = ginval1, ginval0 = ginval2, istore = istore1, istore0 = istore2, pstate = journal(nx.last), remove-refsize0(istore1) = istore1, remove-refsize0(gstore0) = gstore0, elems nx ∩ ginval2 = ∅, dom gstore0 ∪ elems nx = dom gstore ∪ ginval2, inv(gstore[nx.last]), inv(istore1), inv(istore2), inv(gstore0), inv(gstore \ ginval2), nx.last ∈ gstore, istore1 ⊑ istore2 ⊦ nx = [], dups(nx), ∀ lax, err. ⌊err⌋ ∨ err = ESUCCESS → pstate.lnum ∈ gstore ∧ (pstate.index? ∨ pstate.journal?)

Rule argument

Additional information