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Proof step 19 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(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, pstate.lnum ∈ istore[pstate.lnum, istore[pstate.lnum].indlist:= (istore[pstate.lnum].indlist + ind)], istore0 ⊑ istore, pstate.index? ∨ pstate.journal?, ¬ @(pstate.lnum, maxino, ind.flashsize) ∈ istore ∧ err = ESUCCESS ∨ ⌊err⌋ ⊦ dups(nx), inv (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)) ]) ∧ istore0 ⊑ 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)) ] ∧ (pstate.journal? → nx ≠ [] ∧ pstate.lnum = nx.last ∧ pstate.lnum ∈ gstore2) ∧ ( pstate.index? → pstate.lnum ∈ 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)) ]) ∧ (pstate = unbuffered → syn)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 20:
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 ⊦ dups(nx), @(m, maxino, ind.flashsize) ∈ istore, @(m, maxino, ind.flashsize) ∈ istore0, inv(istore[m, (istore[m].indlist:= (istore[m].indlist + ind ')).ladrlist:= (istore[m].ladrlist + @(maxino, ind.flashsize) ')]) ∧ istore0 ⊑ istore[m, (istore[m].indlist:= (istore[m].indlist + ind ')).ladrlist:= (istore[m].ladrlist + @(maxino, ind.flashsize) ')]

Rule argument

Additional information

Used simplifier rules: prefix-notin-fwd: ⊦ ¬ adr ∈ istore ∧ istore0 ⊑ istore → ¬ adr ∈ istore0; (forward) from specification ablock-store-inv[index-store]% ⊦ unbuffered ≠ index(m); (s)% ⊦ ¬ index(m).journal?; (s)% ⊦ istore[n, iblock][n, iblock0] = istore[n, iblock0]; (s)% ⊦ lax + ladr = lax + ladr '; (s)% ⊦ @(m, m0, m1).size = m1; (s)% ⊦ @(m, m0, m1).pos = m0; (s)% ⊦ (iblock.indlist:= indx).ladrlist = iblock.ladrlist; (s)% ⊦ istore[n, iblock][n] = iblock; (s)% ⊦ index(m).index?; (s)% ⊦ ¬ ⌊ESUCCESS⌋ ; (s)% ⊦ n ∈ istore[n, iblock]; (s)% ⊦ indx + ind = indx + ind '; (s)% ⊦ index(m).lnum = m; (s)