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Proof step 218 from proof inv-commit (previous step)

syn ↔ false, istore0[m0] = indexblock(indx, lax, m3), zh[rp] = mkznode(r, zbrar, boolvar, true, m), zh0[rp] = mkznode(r0, zbrar0, boolvar0, false, m4), ginval0 = ginval4, gstore = gstore1, gstore0 = gstore2, istore = istore1, maxino = maxino1, maxino0 = m0, pstate = pstate1, remove-refsize0(istore1) = istore1, remove-refsize0(gstore1) = gstore1, elems nx ∩ ginval4 = ∅, dom remove-refsize0(gstore2) ∩ ginval4 = ∅, dom gstore1 ∪ elems nx = dom gstore2 ∪ ginval4, btree-inv(rp, adr, istore3[n, indexblock([], [], 0)], istore1, zh, ri, fi), btree-inv(rp, adr, istore3, istore1, zh, ri, fi), btree-inv(rp, @(m0, m1, m2), istore0, istore0, zh0, ri, ri), btree-inv(rp, adr, istore0[m0, indexblock(indx, lax, m3 - m2)], istore1, zh0[rp, mkznode(r0, zbrar0, boolvar0, true, m4)], ri, fi), inv(istore3[n, indexblock([], [], 0)]), inv(istore1), inv(istore3), inv(gstore1), inv(gstore2 \ ginval4), inv(istore0), rp ∈ zh, istore1 ⊑ istore0, istore1 ⊑ istore3[n, indexblock([], [], 0)], istore1 ⊑ istore3, istore3[n, indexblock([], [], 0)] ⊑ istore0, ⌊err⌋ , pstate1.index? → pstate1.lnum ∈ istore0, pstate1.journal? → nx ≠ [] ∧ pstate1.lnum = nx.last ∧ pstate1.lnum ∈ gstore2 ⊦ ⟪if maxino0 ∈ istore0 then n := istore0[maxino0].ref-size else abort; apersistence_set_iblock_refsize#(m0, n - m2, adr, istore1, ginval4, gstore2, gstore1, nx, maxino1, ginval, pstate1, err = ESUCCESS; istore0)⟫ ( (∃ ri0, fi0. btree-inv(rp, adr, istore0, istore1, zh0[rp, mkznode(r0, zbrar0, boolvar0, true, m4)], ri0, fi0)) ∧ inv(istore0) ∧ istore1 ⊑ istore0 ∧ (pstate1.journal? → nx ≠ [] ∧ pstate1.lnum = nx.last ∧ pstate1.lnum ∈ gstore2) ∧ (pstate1.index? → pstate1.lnum ∈ istore0)), pstate1 = unbuffered, pstate1 = readonly, dups(nx), n ∈ istore3

Heuristic conditional right split applied rule if positive right

And obtained the following new goals

Proof step 219:
syn ↔ false, zh0[rp] = mkznode(r0, zbrar0, boolvar0, false, m4), zh[rp] = mkznode(r, zbrar, boolvar, true, m), istore0[m0] = indexblock(indx, lax, m3), ginval0 = ginval4, gstore = gstore1, gstore0 = gstore2, istore = istore1, maxino = maxino1, maxino0 = m0, pstate = pstate1, remove-refsize0(gstore1) = gstore1, remove-refsize0(istore1) = istore1, dom remove-refsize0(gstore2) ∩ ginval4 = ∅, elems nx ∩ ginval4 = ∅, dom gstore1 ∪ elems nx = dom gstore2 ∪ ginval4, btree-inv(rp, adr, istore0[m0, indexblock(indx, lax, m3 - m2)], istore1, zh0[rp, mkznode(r0, zbrar0, boolvar0, true, m4)], ri, fi), btree-inv(rp, @(m0, m1, m2), istore0, istore0, zh0, ri, ri), btree-inv(rp, adr, istore3, istore1, zh, ri, fi), btree-inv(rp, adr, istore3[n, indexblock([], [], 0)], istore1, zh, ri, fi), inv(istore0), inv(gstore2 \ ginval4), inv(gstore1), inv(istore3), inv(istore1), inv(istore3[n, indexblock([], [], 0)]), rp ∈ zh, istore3[n, indexblock([], [], 0)] ⊑ istore0, istore1 ⊑ istore3, istore1 ⊑ istore3[n, indexblock([], [], 0)], istore1 ⊑ istore0, ⌊err⌋ , pstate1.journal? → nx ≠ [] ∧ pstate1.lnum = nx.last ∧ pstate1.lnum ∈ gstore2, pstate1.index? → pstate1.lnum ∈ istore0 ⊦ ⟪n := istore0[maxino0].ref-size; apersistence_set_iblock_refsize#(m0, n - m2, adr, istore1, ginval4, gstore2, gstore1, nx, maxino1, ginval, pstate1, err = ESUCCESS; istore0)⟫ ( (∃ ri0, fi0. btree-inv(rp, adr, istore0, istore1, zh0[rp, mkznode(r0, zbrar0, boolvar0, true, m4)], ri0, fi0)) ∧ inv(istore0) ∧ istore1 ⊑ istore0 ∧ (pstate1.journal? → nx ≠ [] ∧ pstate1.lnum = nx.last ∧ pstate1.lnum ∈ gstore2) ∧ (pstate1.index? → pstate1.lnum ∈ istore0)), pstate1 = readonly, pstate1 = unbuffered, dups(nx), n ∈ istore3

Rule argument

pos: right 1

Additional information

Used simplifier rules: ⊦ btree-inv(rp, @(m0, m1, m2), istore, istore0, zh, fi, fi0) → m0 ∈ istore; (ss)