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Proof step 3 from proof refine-requires-commit (previous step)

remove-refsize0(gstore2) = gstore2, remove-refsize0(istore0) = istore0, elems nx0 ∩ ginval0 = ∅, dom gstore2 ∪ elems nx0 = dom gstore0 ∪ ginval0, btree-inv(rp, adr, istore, istore0, zh, fi, fi0), inv(gstore0 \ ginval0), inv(gstore2), inv(istore), inv(istore0), ri-inj(fi), ri-inj(fi0), istore0 ⊑ istore, ¬ dups(nx0), pstate.journal? → nx0 ≠ [] ∧ pstate.lnum = nx0.last ∧ pstate.lnum ∈ gstore0, pstate.index? → pstate.lnum ∈ istore, pstate = unbuffered → syn0 ⊦ ⟪btree_requires_commit#(adr, istore, istore0, ginval0, gstore0, gstore2, nx0, maxino0, ginval2, pstate, syn0; ; syn1)⟫ ⟨index_requires_commit#(fi, fi0, ginval0, gstore0, gstore2, nx0, maxino0, ginval2, syn0; ; syn2)⟩ (syn1 ↔ syn2)

Heuristic nonrecursive calls applied rule call right

And obtained the following new goals

Proof step 4:
ginval = ginval2, gstore = gstore2, istore = istore1, istore0 = istore2, maxino = maxino0, nx = nx0, remove-refsize0(istore1) = istore1, remove-refsize0(gstore2) = gstore2, elems nx0 ∩ ginval0 = ∅, dom gstore2 ∪ elems nx0 = dom gstore0 ∪ ginval0, btree-inv(rp, adr, istore2, istore1, zh, fi, fi0), inv(istore1), inv(istore2), inv(gstore2), inv(gstore0 \ ginval0), ri-inj(fi0), ri-inj(fi), istore1 ⊑ istore2, pstate = unbuffered → syn0, pstate.index? → pstate.lnum ∈ istore2, pstate.journal? → nx0 ≠ [] ∧ pstate.lnum = nx0.last ∧ pstate.lnum ∈ gstore0 ⊦ ⟪apersistence_requires_commit#(adr, istore0, istore, ginval0, gstore0, gstore, nx, maxino, ginval, pstate, syn0; ; syn)⟫ ⟨index_requires_commit#(fi, fi0, ginval0, gstore0, gstore2, nx0, maxino0, ginval2, syn0; ; syn2)⟩ (syn ↔ syn2), dups(nx0)

Rule argument

pos: right 1

Additional information

Used simplifier rules: btree_requires_commit# (ROOTADR, ISTORE, ISTORE0, GINVAL, GSTORE, GSTORE0, NL, MAXINO, OS, PSTATE, PSYNCED ; ; COMMIT? ) {apersistence_requires_commit# (ROOTADR, ISTORE, ISTORE0, GINVAL, GSTORE, GSTORE0, NL, MAXINO, OS, PSTATE, PSYNCED ; ; COMMIT?) };