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Proof step 127 from proof inv-commit (previous step)

istore0[m0] = indexblock(indx, lax, m3), zh[rp] = mkznode(r, zbrar, boolvar, true, m), zh0[rp] = mkznode(r0, zbrar0, boolvar0, false, m4), adr0 = adr, err1 = err, ginval0 = ginval1, ginval4 = ginval0, gstore = gstore3, gstore0 = gstore4, gstore1 = gstore, gstore2 = gstore0, istore = istore2, istore1 = istore, maxino = 0, maxino2 = maxino0, pstate = readonly, remove-refsize0(gstore) = gstore, remove-refsize0(istore) = istore, remove-refsize0(istore2) = istore2, remove-refsize0(gstore3) = gstore3, elems nx ∩ ginval0 = ∅, dom remove-refsize0(gstore4) ∩ ginval1 = ∅, elems nx ∩ ginval1 = ∅, dom gstore ∪ elems nx = dom gstore0 ∪ ginval0, 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(gstore0 \ ginval0), inv(gstore), inv(istore), inv(istore3[n, indexblock([], [], 0)]), inv(istore2), inv(istore3), inv(gstore3), inv(gstore4 \ ginval1), inv(istore0), rp ∈ zh, istore ⊑ istore0, istore2 ⊑ istore0, istore2 ⊑ istore3[n, indexblock([], [], 0)], istore2 ⊑ istore3, istore3[n, indexblock([], [], 0)] ⊑ istore0, pstate.journal? → nx ≠ [] ∧ pstate.lnum = nx.last ∧ pstate.lnum ∈ gstore0, pstate.index? → pstate.lnum ∈ istore0, ⌊err⌋ ∨ err = ESUCCESS ⊦ ⟪apersistence_get_iblock_refsize#(m0, adr0, istore0, istore1, ginval4, gstore2, gstore1, nx, maxino2, ginval, pstate, true; ; maxino); apersistence_set_iblock_refsize#(m0, maxino - m2, adr0, istore1, ginval4, gstore2, gstore1, nx, maxino2, ginval, pstate, true; istore0)⟫ ( (∃ ri, fi. btree-inv(rp, adr0, istore0, istore1, zh0[rp, zh0[rp].dirty:= true], ri, fi)) ∧ inv(istore0) ∧ istore1 ⊑ istore0 ∧ (pstate.journal? → nx ≠ [] ∧ pstate.lnum = nx.last ∧ pstate.lnum ∈ gstore2) ∧ (pstate.index? → pstate.lnum ∈ istore0)), err1 = ESUCCESS, dups(nx), n ∈ istore3

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 128:
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), rp ∈ zh, istore2 ⊑ istore0, istore2 ⊑ istore3[n, indexblock([], [], 0)], istore2 ⊑ istore3, istore3[n, indexblock([], [], 0)] ⊑ istore0, ⌊err⌋ , ¬ dups(nx), ¬ n ∈ istore3 ⊦ ⟪apersistence_get_iblock_refsize#(m0, adr, istore0, istore2, ginval1, gstore4, gstore3, nx, maxino2, ginval, readonly, true; ; maxino); apersistence_set_iblock_refsize#(m0, maxino - 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: ⊦ mkznode(r, zbrar, boolvar, boolvar0, m).dirty:= boolvar2 = mkznode(r, zbrar, boolvar, boolvar2, m); (s)%prefix-trans: ⊦ istore ⊑ istore0 ∧ istore0 ⊑ istore1 → istore ⊑ istore1; (forward) from specification ablock-store-inv[index-store]% ⊦ ¬ readonly.journal?; (s)% ⊦ ¬ readonly.index?; (s)% ⊦ ⌊err⌋ → err ≠ ESUCCESS; (s)