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Proof step 3 from proof recovery (previous step)

ginval = ginval0, ginval1 = ginval2, ginval5 = ginval6, gstore = crash(gstore0, gstore1, ginval0, nx), gstore2 = gstore1, istore = remove-refsize0(crash(istore0, istore1)), maxino = maxino0, maxino2 = maxino3, nx0 = nx, nx2 = nx3, remove-refsize0(gstore1) = gstore1, remove-refsize0(istore1) = istore1, elems nx ∩ ginval0 = ∅, dom gstore1 ∪ elems nx = dom gstore0 ∪ ginval0, btree-inv(rp, adr0, istore0, istore1, zh, fi, fi0), btree-inv(rp, adr0, istore0, istore1, zh, ri, fi3), inv(gstore0 \ ginval0), inv(gstore1), inv(istore0), inv(istore1), ri-inj(fi), ri-inj(fi0), istore1 ⊑ istore0, ¬ dups(nx), pstate.journal? → nx ≠ [] ∧ pstate.lnum = nx.last ∧ pstate.lnum ∈ gstore0, pstate.index? → pstate.lnum ∈ istore0 ⊦ ⟪btree_recover#(; maxino2, nx2, ginval5, rp0, adr1, adr0, istore, istore1, ginval, gstore, gstore2, nx0, maxino, ginval1, pstate0, syn1; err)⟫ ( ( err = ESUCCESS → (∃ fi3, syn. ⟨gstore3 := crash(gstore0, gstore1, ginval0, nx); index+persistence_recover#(; maxino3, nx3, ginval6, fi3, fi0, ginval0, gstore3, gstore1, nx, maxino0, ginval2, syn; err0)⟩ ( ginval0 = ginval ∧ gstore3 = gstore ∧ gstore1 = gstore2 ∧ nx = nx0 ∧ maxino0 = maxino ∧ ginval2 = ginval1 ∧ btree-inv(rp0, adr0, istore, istore1, zh0, fi3, fi0) ∧ (syn ↔ syn1) ∧ maxino2 = maxino3 ∧ nx2 = nx3 ∧ ginval5 = ginval6 ∧ ESUCCESS = err0))) ∧ ( err ≠ ESUCCESS → (∀ fi, fi0, ginval, gstore, gstore0, nx, maxino, ginval0, syn. ⟨index+persistence_recover#(; maxino3, nx3, ginval6, fi1, fi2, ginval7, gstore5, gstore6, nx4, maxino4, ginval8, syn2; err0)⟩ ( fi = fi1 ∧ fi0 = fi2 ∧ ginval = ginval7 ∧ gstore = gstore5 ∧ gstore0 = gstore6 ∧ nx = nx4 ∧ maxino = maxino4 ∧ ginval0 = ginval8 ∧ (syn ↔ syn2) ∧ maxino2 = maxino3 ∧ nx2 = nx3 ∧ ginval5 = ginval6 ∧ err = err0))))

Heuristic nonrecursive calls applied rule call right

And obtained the following new goals

Proof step 4:
syn ↔ syn1, adr = adr2, adr0 = adr1, ginval = ginval4, ginval0 = ginval9, ginval1 = ginval5, ginval4 = ginval2, ginval5 = ginval6, ginval9 = ginval3, gstore = gstore2, gstore0 = gstore7, gstore2 = gstore1, gstore7 = crash(gstore4, gstore1, ginval3, nx1), istore = istore1, istore0 = istore3, istore3 = remove-refsize0(crash(istore2, istore1)), maxino = maxino1, maxino0 = maxino2, maxino2 = maxino3, nx = nx5, nx0 = nx2, nx2 = nx3, nx5 = nx1, pstate = pstate0, remove-refsize0(istore1) = istore1, remove-refsize0(gstore1) = gstore1, rp = rp0, elems nx1 ∩ ginval3 = ∅, dom gstore1 ∪ elems nx1 = dom gstore4 ∪ ginval3, btree-inv(rp1, adr2, istore2, istore1, zh, ri, fi3), btree-inv(rp1, adr2, istore2, istore1, zh, fi, fi0), inv(istore1), inv(istore2), inv(gstore1), inv(gstore4 \ ginval3), ri-inj(fi0), ri-inj(fi), istore1 ⊑ istore2, pstate1.index? → pstate1.lnum ∈ istore2, pstate1.journal? → nx1 ≠ [] ∧ pstate1.lnum = nx1.last ∧ pstate1.lnum ∈ gstore4 ⊦ ⟪apersistence_recover#(; adr0, maxino0, nx0, ginval1, adr, istore0, istore, ginval0, gstore0, gstore, nx, maxino, ginval, pstate, syn; err); rp := null⟫ ( ( err = ESUCCESS → (∃ fi3, syn0. ⟨gstore3 := crash(gstore4, gstore1, ginval3, nx1); index+persistence_recover#(; maxino3, nx3, ginval6, fi3, fi0, ginval3, gstore3, gstore1, nx1, maxino1, ginval2, syn0; err0)⟩ ( ginval3 = ginval0 ∧ gstore3 = gstore0 ∧ gstore1 = gstore ∧ nx1 = nx ∧ maxino1 = maxino ∧ ginval2 = ginval ∧ btree-inv(rp, adr, istore0, istore, zh0, fi3, fi0) ∧ (syn0 ↔ syn) ∧ maxino0 = maxino3 ∧ nx0 = nx3 ∧ ginval1 = ginval6 ∧ ESUCCESS = err0))) ∧ ( err ≠ ESUCCESS → (∀ fi, fi0, ginval, gstore, gstore0, nx, maxino, ginval0, syn. ⟨index+persistence_recover#(; maxino3, nx3, ginval6, fi1, fi2, ginval7, gstore5, gstore6, nx4, maxino4, ginval8, syn2; err0)⟩ ( fi = fi1 ∧ fi0 = fi2 ∧ ginval = ginval7 ∧ gstore = gstore5 ∧ gstore0 = gstore6 ∧ nx = nx4 ∧ maxino = maxino4 ∧ ginval0 = ginval8 ∧ (syn ↔ syn2) ∧ maxino0 = maxino3 ∧ nx0 = nx3 ∧ ginval1 = ginval6 ∧ err = err0)))), dups(nx1)

Rule argument

pos: right 1

Additional information

Used simplifier rules: btree_recover# (; MAXINO0, NL0, OS0, RT, ADRT, ROOTADR, ISTORE, ISTORE0, GINVAL, GSTORE, GSTORE0, NL, MAXINO, OS, PSTATE, PSYNCED ; ERR ) {apersistence_recover# (; ADRT, MAXINO0, NL0, OS0, ROOTADR, ISTORE, ISTORE0, GINVAL, GSTORE, GSTORE0, NL, MAXINO, OS, PSTATE, PSYNCED ; ERR); RT := null };