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Proof step 245 from proof inv-io-save (previous step)

istore4[m2] = indexblock(indx, lax0, m), zh[r] = mkznode(r0, zbrar, boolvar, true, m0), istore0 = istore4 [m2, indexblock(indx + save(mkznode(r0, zbrar, boolvar, true, m0)) ', lax0 + @(m3, save(mkznode(r0, zbrar, boolvar, true, m0)).flashsize) ', m) ], remove-refsize0(istore2) = istore2, remove-refsize0(gstore1) = gstore1, elems nx ∩ ginval2 = ∅, dom gstore1 ∪ elems nx = dom gstore2 ∪ ginval2, ((btree(rp, r, adr1, height, dirty, ri, nodes(istore4), as, alladrs, ok) * P))(zh), btree-sub-clean(r, m0, zh), inv (istore4 [m2, indexblock(indx + save(mkznode(r0, zbrar, boolvar, true, m0)) ', lax0 + @(m3, save(mkznode(r0, zbrar, boolvar, true, m0)).flashsize) ', m) ]), inv(istore2), inv(istore4), inv(gstore1), inv(gstore2 \ ginval2), inv(indexblock(indx, lax0, m)), refsize-cons(istore4, as0 ∪ as), m2 ∈ istore4, r ∈ zh, n ≤ LEB_SIZE, save(mkznode(r0, zbrar, boolvar, true, m0)).flashsize ≤ n, save(mkznode(r0, zbrar, boolvar, true, m0)).flashsize ≤ LEB_SIZE, as ⊆ dom nodes(istore4), as ⊆ alladrs, alladrs ⊆ dom nodes(istore4), as0 ⊆ dom nodes(istore4), istore2 ⊑ istore4, istore2 ⊑ istore4 [m2, indexblock(indx + save(mkznode(r0, zbrar, boolvar, true, m0)) ', lax0 + @(m3, save(mkznode(r0, zbrar, boolvar, true, m0)).flashsize) ', m) ], ¬ dups(nx), ¬ adr1 ∈ as, ¬ @(m2, m3, save(mkznode(r0, zbrar, boolvar, true, m0)).flashsize) ∈ istore4, ¬ @(m2, m3, save(mkznode(r0, zbrar, boolvar, true, m0)).flashsize) ∈ istore2, height = 0 → as = ∅ ⊦ [apersistence_set_iblock_refsize# (index(m2).lnum, m + save(mkznode(r0, zbrar, boolvar, true, m0)).flashsize, adr0, istore2, ginval2, gstore2, gstore1, nx, maxino1, ginval, index(m2), syn ; istore0)] ( inv(istore0) ∧ istore2 ⊑ istore0 ∧ m2 ∈ istore0 → ⟪err := ESUCCESS; if err = ESUCCESS then zh[r].dirty := false⟫ ( refsize-cons(istore0, as0 ∪ (err = ESUCCESS ⊃ as ++ @(m2, m3, save(mkznode(r0, zbrar, boolvar, true, m0)).flashsize);as)) ∧ istore4 ⊑ istore0 ∧ r ∈ zh ∧ (err = ESUCCESS → ¬ @(m2, m3, save(mkznode(r0, zbrar, boolvar, true, m0)).flashsize) ∈ as) ∧ dom nodes(istore0) = dom nodes(istore4) ∪ (err = ESUCCESS ⊃ ∅ ++ @(m2, m3, save(mkznode(r0, zbrar, boolvar, true, m0)).flashsize);∅) ∧ (( btree (rp, r, (err = ESUCCESS ⊃ @(m2, m3, save(mkznode(r0, zbrar, boolvar, true, m0)).flashsize);adr1), height, err ≠ ESUCCESS, ri, nodes(istore0), (err = ESUCCESS ⊃ as ++ @(m2, m3, save(mkznode(r0, zbrar, boolvar, true, m0)).flashsize);as), (err = ESUCCESS ⊃ (alladrs -- adr1) ++ @(m2, m3, save(mkznode(r0, zbrar, boolvar, true, m0)).flashsize);alladrs), ok) * P) )(zh) ∧ (err = ESUCCESS ∨ ⌊err⌋ ) ∧ (err = ESUCCESS → ¬ zh[r].dirty)))

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 246:
zh[r] = mkznode(r0, zbrar, boolvar, true, m0), istore4[m2] = indexblock(indx, lax0, m), adr = adr0, ginval0 = ginval2, gstore = gstore1, gstore0 = gstore2, istore = istore1, istore0 = istore2, istore1 = istore4 [m2, indexblock(indx + save(mkznode(r0, zbrar, boolvar, true, m0)) ', lax0 + @(m3, save(mkznode(r0, zbrar, boolvar, true, m0)).flashsize) ', m) ], maxino = maxino1, maxino0 = index(m2).lnum, n = m + save(mkznode(r0, zbrar, boolvar, true, m0)).flashsize, pstate = index(m2), remove-refsize0(gstore1) = gstore1, remove-refsize0(istore2) = istore2, elems nx ∩ ginval2 = ∅, dom gstore1 ∪ elems nx = dom gstore2 ∪ ginval2, ((btree(rp, r, adr1, height, dirty, ri, nodes(istore4), as, alladrs, ok) * P))(zh), btree-sub-clean(r, m0, zh), inv(indexblock(indx, lax0, m)), inv(gstore2 \ ginval2), inv(gstore1), inv(istore4), inv(istore2), inv (istore4 [m2, indexblock(indx + save(mkznode(r0, zbrar, boolvar, true, m0)) ', lax0 + @(m3, save(mkznode(r0, zbrar, boolvar, true, m0)).flashsize) ', m) ]), refsize-cons(istore4, as0 ∪ as), r ∈ zh, m2 ∈ istore4, save(mkznode(r0, zbrar, boolvar, true, m0)).flashsize ≤ LEB_SIZE, save(mkznode(r0, zbrar, boolvar, true, m0)).flashsize ≤ n0, n0 ≤ LEB_SIZE, as0 ⊆ dom nodes(istore4), alladrs ⊆ dom nodes(istore4), as ⊆ alladrs, as ⊆ dom nodes(istore4), istore2 ⊑ istore4 [m2, indexblock(indx + save(mkznode(r0, zbrar, boolvar, true, m0)) ', lax0 + @(m3, save(mkznode(r0, zbrar, boolvar, true, m0)).flashsize) ', m) ], istore2 ⊑ istore4, height = 0 → as = ∅, index(m2).index? ∨ index(m2).journal? ⊦ [if maxino0 ∈ istore then istore[maxino0].ref-size := n else abort] ( inv(istore) ∧ istore2 ⊑ istore ∧ m2 ∈ istore → ⟪err := ESUCCESS; if err = ESUCCESS then zh[r].dirty := false⟫ ( refsize-cons(istore, as0 ∪ (err = ESUCCESS ⊃ as ++ @(m2, m3, save(mkznode(r0, zbrar, boolvar, true, m0)).flashsize);as)) ∧ istore4 ⊑ istore ∧ r ∈ zh ∧ (err = ESUCCESS → ¬ @(m2, m3, save(mkznode(r0, zbrar, boolvar, true, m0)).flashsize) ∈ as) ∧ dom nodes(istore) = dom nodes(istore4) ∪ (err = ESUCCESS ⊃ ∅ ++ @(m2, m3, save(mkznode(r0, zbrar, boolvar, true, m0)).flashsize);∅) ∧ (( btree (rp, r, (err = ESUCCESS ⊃ @(m2, m3, save(mkznode(r0, zbrar, boolvar, true, m0)).flashsize);adr1), height, err ≠ ESUCCESS, ri, nodes(istore), (err = ESUCCESS ⊃ as ++ @(m2, m3, save(mkznode(r0, zbrar, boolvar, true, m0)).flashsize);as), (err = ESUCCESS ⊃ (alladrs -- adr1) ++ @(m2, m3, save(mkznode(r0, zbrar, boolvar, true, m0)).flashsize);alladrs), ok) * P) )(zh) ∧ (err = ESUCCESS ∨ ⌊err⌋ ) ∧ (err = ESUCCESS → ¬ zh[r].dirty))), dups(nx), adr1 ∈ as, @(m2, m3, save(mkznode(r0, zbrar, boolvar, true, m0)).flashsize) ∈ istore4, @(m2, m3, save(mkznode(r0, zbrar, boolvar, true, m0)).flashsize) ∈ istore2

Rule argument

pos: right 1

Additional information

Used simplifier rules: apersistence_set_iblock_refsize# (LNUM, N, ROOTADR, ISTORE0, GINVAL, GSTORE, GSTORE0, NL, MAXINO, OS, PSTATE, PSYNCED ; ISTORE ) {if LNUM ∈ ISTORE then ISTORE[LNUM].ref-size := N else abort};