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Proof step 267 from proof inv-io-save (previous step)

zh[r] = mkznode(r0, zbrar, boolvar, true, m0), adr2 = adr1, adr3 = @(pstate0.lnum, maxino, ind.flashsize), err0 = err, err1 = err0, ginval0 = ginval2, gstore = gstore1, gstore0 = gstore2, ind = save(mkznode(r0, zbrar, boolvar, true, m0)), istore = istore4, istore0 = istore2, istore1 = istore4, istore3 = istore, pstate = readonly, pstate0 = index(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(istore), inv(istore2), inv(istore4), inv(gstore1), inv(gstore2 \ ginval2), refsize-cons(istore4, as0 ∪ as), m ∈ 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 ⊆ alladrs, alladrs ⊆ dom nodes(istore4), as0 ⊆ dom nodes(istore4), as ⊆ dom nodes(istore4), istore2 ⊑ istore, istore2 ⊑ istore4, pstate.journal? → nx ≠ [] ∧ pstate.lnum = nx.last ∧ pstate.lnum ∈ gstore2, pstate.index? → pstate.lnum ∈ istore, pstate = unbuffered → syn, height = 0 → as = ∅, pstate0.index? ∨ pstate0.journal?, ¬ @(pstate0.lnum, maxino, ind.flashsize) ∈ istore ∧ err = ESUCCESS ∨ ⌊err⌋ ⊦ ⟪skip⟫ ( refsize-cons(istore3, as0 ∪ (err1 = ESUCCESS ⊃ as ++ adr;as)) ∧ inv(istore3) ∧ istore2 ⊑ istore3 ∧ (pstate.journal? → nx ≠ [] ∧ pstate.lnum = nx.last ∧ pstate.lnum ∈ gstore2) ∧ (pstate.index? → pstate.lnum ∈ istore3) ∧ (pstate = unbuffered → syn) ∧ istore1 ⊑ istore3 ∧ r ∈ zh ∧ (err1 = ESUCCESS → ¬ adr ∈ as) ∧ dom nodes(istore3) = dom nodes(istore1) ∪ (err1 = ESUCCESS ⊃ ∅ ++ adr;∅) ∧ (err1 = ESUCCESS → ¬ adr ∈ istore1) ∧ (( btree (rp, r, (err1 = ESUCCESS ⊃ adr;adr1), height, err1 ≠ ESUCCESS, ri, nodes(istore3), (err1 = ESUCCESS ⊃ as ++ adr;as), (err1 = ESUCCESS ⊃ (alladrs -- adr1) ++ adr;alladrs), ok) * P) )(zh) ∧ (err1 = ESUCCESS ∨ ⌊err1⌋ ) ∧ (err1 = ESUCCESS → pstate.index? ∧ ¬ zh[r].dirty)), err0 = ESUCCESS, dups(nx), adr1 ∈ as

Heuristic symbolic execution applied rule skip right

And closed the goal!

Rule argument

Additional information

Used simplifier rules: ⊦ index(m).index?; (s)% ⊦ index(m).lnum = m; (s)% ⊦ ⌊err⌋ → err ≠ ESUCCESS; (s)% ⊦ ¬ readonly.journal?; (s)% ⊦ ¬ readonly.index?; (s)% ⊦ unbuffered ≠ readonly; (s)% ⊦ inv(istore) → istore ⊑ istore; (s)% ⊦ as ∪ ∅ = as; (s)%una: ⊦ (as ∪ as0) ∪ as1 = as ∪ as0 ∪ as1; from specification set-union[node-store]%unc: ⊦ as ∪ as0 = as0 ∪ as; from specification set-union[node-store]%sep-ass: ⊦ (P * P3) * P4 = P * P3 * P4; from specification heap-sep[zheap]%sep-com: ⊦ P * P2 = P2 * P; from specification heap-sep[zheap]%⊦ (( btree(rp, r, adr, height, dirty, fi, iast, as, alladrs, nstat) * P) )(zh) → (( btree(rp, r, adr, height, true, fi, iast, as, alladrs, nstat) * P) )(zh); (s)