[Imprint][Data Privacy Statement][E-Mail]



View long theorem info. View the proof. Back to main index. View the specification. View theorem base summary, View theorem base listing, the used properties by spec, the dependency list, the symbol table,

Proof step 136 from proof inv-commit (previous step)

syn ↔ true, zh0[rp] = mkznode(r0, zbrar0, boolvar0, false, m4), zh[rp] = mkznode(r, zbrar, boolvar, true, m), istore1[m0] = indexblock(indx, lax, m3), ginval0 = ginval1, gstore = gstore3, gstore0 = gstore4, istore = istore1, istore0 = istore2, maxino = maxino2, maxino0 = m0, n = istore1[m0].ref-size - m2, 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, istore1[m0, indexblock(indx, lax, m3 - m2)], istore2, zh0[rp, mkznode(r0, zbrar0, boolvar0, true, m4)], ri, fi), btree-inv(rp, @(m0, m1, m2), istore1, istore1, zh0, ri, ri), btree-inv(rp, adr, istore3, istore2, zh, ri, fi), btree-inv(rp, adr, istore3[n0, indexblock([], [], 0)], istore2, zh, ri, fi), inv(indexblock(indx, lax, m3)), inv(istore1), inv(gstore4 \ ginval1), inv(gstore3), inv(istore3), inv(istore2), inv(istore3[n0, indexblock([], [], 0)]), rp ∈ zh, m0 ∈ istore1, istore1[m0].ref-size ≥ m2, istore3[n0, indexblock([], [], 0)] ⊑ istore1, istore2 ⊑ istore3, istore2 ⊑ istore3[n0, indexblock([], [], 0)], istore2 ⊑ istore1, ⌊err⌋ ⊦ [if maxino0 ∈ istore then istore[maxino0].ref-size := n else abort] (inv(istore) ∧ istore2 ⊑ istore → (∃ ri0, fi0. btree-inv(rp, adr, istore, istore2, zh0[rp, mkznode(r0, zbrar0, boolvar0, true, m4)], ri0, fi0))), dups(nx), n0 ∈ istore3

Heuristic symbolic execution applied rule if positive right

And obtained the following new goals

Rule argument

pos: right 1

Additional information

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