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Proof step 131 from proof inv-commit (previous step)

syn ↔ true, zh0[rp] = mkznode(r0, zbrar0, boolvar0, false, m4), zh[rp] = mkznode(r, zbrar, boolvar, true, m), istore0[m0] = indexblock(indx, lax, m3), ginval0 = ginval1, gstore = gstore3, gstore0 = gstore4, istore = istore2, maxino = maxino2, maxino0 = m0, pstate = readonly, remove-refsize0(istore2) = istore2, remove-refsize0(gstore3) = gstore3, dom remove-refsize0(gstore4) ∩ ginval1 = ∅, elems nx ∩ ginval1 = ∅, dom gstore3 ∪ elems nx = dom gstore4 ∪ ginval1, btree-inv(rp, adr, istore0[m0, indexblock(indx, lax, m3 - m2)], istore2, 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, istore2, zh, ri, fi), btree-inv(rp, adr, istore3[n, indexblock([], [], 0)], istore2, zh, ri, fi), inv(istore0), inv(gstore4 \ ginval1), inv(gstore3), inv(istore3), inv(istore2), inv(istore3[n, indexblock([], [], 0)]), maxino0 ∈ istore0, rp ∈ zh, istore3[n, indexblock([], [], 0)] ⊑ istore0, istore2 ⊑ istore3, istore2 ⊑ istore3[n, indexblock([], [], 0)], istore2 ⊑ istore0, ⌊err⌋ ⊦ ⟪apersistence_set_iblock_refsize# (m0, istore0[maxino0].ref-size - m2, adr, istore2, ginval1, gstore4, gstore3, nx, maxino2, ginval, readonly, true; istore0)⟫ ( (∃ ri0, fi0. btree-inv(rp, adr, istore0, istore2, zh0[rp, mkznode(r0, zbrar0, boolvar0, true, m4)], ri0, fi0)) ∧ inv(istore0) ∧ istore2 ⊑ istore0), dups(nx), n ∈ istore3

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 132:
istore0[m0] = indexblock(indx, lax, m3), zh[rp] = mkznode(r, zbrar, boolvar, true, m), zh0[rp] = mkznode(r0, zbrar0, boolvar0, false, m4), remove-refsize0(gstore3) = gstore3, remove-refsize0(istore2) = istore2, elems nx ∩ ginval1 = ∅, dom remove-refsize0(gstore4) ∩ ginval1 = ∅, dom gstore3 ∪ elems nx = dom gstore4 ∪ ginval1, btree-inv(rp, adr, istore3[n, indexblock([], [], 0)], istore2, zh, ri, fi), btree-inv(rp, adr, istore3, istore2, 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)], istore2, zh0[rp, mkznode(r0, zbrar0, boolvar0, true, m4)], ri, fi), inv(istore3[n, indexblock([], [], 0)]), inv(istore2), inv(istore3), inv(gstore3), inv(gstore4 \ ginval1), inv(istore0), inv(indexblock(indx, lax, m3)), rp ∈ zh, m0 ∈ istore0, istore2 ⊑ istore0, istore2 ⊑ istore3[n, indexblock([], [], 0)], istore2 ⊑ istore3, istore3[n, indexblock([], [], 0)] ⊑ istore0, ⌊err⌋ , ¬ dups(nx), ¬ n ∈ istore3 ⊦ ⟪apersistence_set_iblock_refsize# (m0, istore0[m0].ref-size - m2, adr, istore2, ginval1, gstore4, gstore3, nx, maxino2, ginval, readonly, true; istore0)⟫ ( (∃ ri0, fi0. btree-inv(rp, adr, istore0, istore2, zh0[rp, mkznode(r0, zbrar0, boolvar0, true, m4)], ri0, fi0)) ∧ inv(istore0) ∧ istore2 ⊑ istore0)

Rule argument

Additional information

Used simplifier rules: fwd-inv-iblock: ⊦ inv(istore) ∧ n ∈ istore ∧ istore[n] = iblock → inv(iblock); (forward) from specification apersistence-base