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Proof step 78 from proof inv-commit (previous step)

syn ↔ syn1, 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 = maxino0, pstate = pstate0, 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, pstate0 = unbuffered → syn1, pstate0.index? → pstate0.lnum ∈ istore0, pstate0.journal? → nx ≠ [] ∧ pstate0.lnum = nx.last ∧ pstate0.lnum ∈ gstore2 ⊦ [if pstate = unbuffered then err := ESUCCESS else {fail_or_success#(; ; err); syn := err = ESUCCESS; skip or pstate := readonly}] ( (pstate.journal? → nx ≠ [] ∧ pstate.lnum = nx.last ∧ pstate.lnum ∈ gstore2) ∧ (pstate.index? → pstate.lnum ∈ istore0) ∧ (pstate = unbuffered → syn) → ⟪adr0 := adr; adr1 := @(m0, m1, m2); syn1 := syn, pstate0 := pstate; if err = ESUCCESS then apersistence_commit# (adr1, maxino1, syn1; ginval1, adr0, istore0, istore1, ginval4, gstore2, gstore1, nx, maxino0, ginval, pstate0; err); if err = ESUCCESS then adr := adr1 else if true then {zh0[rp].dirty := true; let maxino = 0 in {apersistence_get_iblock_refsize# (m0, adr0, istore0, istore1, ginval4, gstore2, gstore1, nx, maxino0, ginval, pstate0, syn1; ; maxino); apersistence_set_iblock_refsize# (m0, maxino - m2, adr0, istore1, ginval4, gstore2, gstore1, nx, maxino0, ginval, pstate0, syn1; istore0)}}⟫ ( (∃ ri, fi. btree-inv(rp, adr0, istore0, istore1, zh0, ri, fi)) ∧ inv(gstore2 \ ginval4) ∧ inv(gstore1) ∧ elems nx ∩ ginval4 = ∅ ∧ ¬ dups(nx) ∧ dom gstore1 ∪ elems nx = dom gstore2 ∪ ginval4 ∧ remove-refsize0(gstore1) = gstore1 ∧ inv(istore0) ∧ inv(istore1) ∧ istore1 ⊑ istore0 ∧ remove-refsize0(istore1) = istore1 ∧ (pstate0.journal? → nx ≠ [] ∧ pstate0.lnum = nx.last ∧ pstate0.lnum ∈ gstore2) ∧ (pstate0.index? → pstate0.lnum ∈ istore0) ∧ (pstate0 = unbuffered → syn1))), pstate = readonly, dups(nx), n ∈ istore3

Heuristic conditional right split applied rule if right

And obtained the following new goals

Rule argument

pos: right 1

Additional information