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Proof step 16 from proof inv-add-ind (previous step)

adr = adr1, adr0 = adr2, err = ESUCCESS, ginval = ginval1, ginval0 = ginval2, gstore = gstore1, gstore0 = gstore2, maxino0 = maxino1, pstate = index(m), remove-refsize0(gstore1) = gstore1, remove-refsize0(istore0) = istore0, elems nx ∩ ginval2 = ∅, dom gstore1 ∪ elems nx = dom gstore2 ∪ ginval2, inv(gstore2 \ ginval2), inv(gstore1), inv(istore), inv(istore0), m ∈ istore, istore0 ⊑ istore, ¬ @(pstate.lnum, maxino, ind.flashsize) ∈ istore ∧ err = ESUCCESS ∨ ⌊err⌋ , pstate.index? ∨ pstate.journal? ⊦ ⟪istore[pstate.lnum].indlist := istore[pstate.lnum].indlist + ind; istore[pstate.lnum].ladrlist := istore[pstate.lnum].ladrlist + @(@(pstate.lnum, maxino, ind.flashsize).pos, @(pstate.lnum, maxino, ind.flashsize).size); syn := ?⟫ ( inv(istore) ∧ istore0 ⊑ istore ∧ (pstate.journal? → nx ≠ [] ∧ pstate.lnum = nx.last ∧ pstate.lnum ∈ gstore2) ∧ (pstate.index? → pstate.lnum ∈ istore) ∧ (pstate = unbuffered → syn)), dups(nx)

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Proof step 17:
adr = adr1, adr0 = adr2, err = ESUCCESS, ginval = ginval1, ginval0 = ginval2, gstore = gstore1, gstore0 = gstore2, maxino0 = maxino1, pstate = index(m), remove-refsize0(istore0) = istore0, remove-refsize0(gstore1) = gstore1, elems nx ∩ ginval2 = ∅, dom gstore1 ∪ elems nx = dom gstore2 ∪ ginval2, inv(istore0), inv(istore), inv(gstore1), inv(gstore2 \ ginval2), pstate.lnum ∈ istore, m ∈ istore, istore0 ⊑ istore, pstate.index? ∨ pstate.journal?, ¬ @(pstate.lnum, maxino, ind.flashsize) ∈ istore ∧ err = ESUCCESS ∨ ⌊err⌋ ⊦ ⟪istore := istore[pstate.lnum, istore[pstate.lnum].indlist:= (istore[pstate.lnum].indlist + ind)] [pstate.lnum, istore[pstate.lnum, istore[pstate.lnum].indlist:= (istore[pstate.lnum].indlist + ind)][pstate.lnum] .ladrlist:= ( istore[pstate.lnum, istore[pstate.lnum].indlist:= (istore[pstate.lnum].indlist + ind)][pstate.lnum].ladrlist + @(@(pstate.lnum, maxino, ind.flashsize).pos, @(pstate.lnum, maxino, ind.flashsize).size)) ]; syn := ?⟫ ( inv(istore) ∧ istore0 ⊑ istore ∧ (pstate.journal? → nx ≠ [] ∧ pstate.lnum = nx.last ∧ pstate.lnum ∈ gstore2) ∧ (pstate.index? → pstate.lnum ∈ istore) ∧ (pstate = unbuffered → syn)), dups(nx)

Rule argument

Additional information

Used simplifier rules: ⊦ index(m).lnum = m; (s)% ⊦ ¬ ⌊ESUCCESS⌋ ; (s)% ⊦ index(m).index?; (s)