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Proof step 15 from proof inv-commit (previous step)

syn1 ↔ true, zh[rp] = mkznode(r, zbrar, boolvar, true, m), adr1 = adr3, ginval2 = ginval4, ginval3 = ginval, gstore3 = gstore2, gstore4 = gstore1, istore3 = istore1, maxino2 = maxino0, nx0 = nx, pstate = unbuffered, remove-refsize0(gstore1) = gstore1, remove-refsize0(istore1) = istore1, dom remove-refsize0(gstore2) ∩ ginval4 = ∅, elems nx ∩ ginval4 = ∅, dom gstore1 ∪ elems nx = dom gstore2 ∪ ginval4, btree-inv(rp, adr3, istore2, istore1, zh, ri, fi), inv(gstore2 \ ginval4), inv(gstore1), inv(istore2), inv(istore1), inv-index(istore2, istore1), inv-journal(nx, gstore2, gstore1, ginval4), inv-state(pstate, nx, gstore2, istore2, true), rp ∈ zh, istore1 ⊑ istore2 ⊦ [apersistence_allocate_ind#(adr3, istore1, ginval4, gstore2, gstore1, nx, maxino0, ginval, true; istore2, pstate; err)] ( inv-index(istore2, istore3) ∧ inv-state(pstate, nx0, gstore3, istore2, syn1) → ⟪syn0 := true; adr0 := adr3; adr := adr3; if err = ESUCCESS then btree_commit_rec#(rp, adr0, istore1, ginval4, gstore2, gstore1, nx, maxino0, ginval; adr, err, zh, istore2, pstate, syn0); syn := false; if err = ESUCCESS then {syn := true; apersistence_sync#(adr0, istore2, istore1, ginval4, gstore2, gstore1, nx, maxino0, ginval; pstate, syn0; err)}; if err = ESUCCESS then apersistence_commit# (adr, maxino1, syn0; ginval1, adr0, istore2, istore1, ginval4, gstore2, gstore1, nx, maxino0, ginval, pstate; err); if err = ESUCCESS then adr3 := adr else if syn then {zh[rp].dirty := true; let maxino = 0 in {apersistence_get_iblock_refsize# (adr.lnum, adr0, istore2, istore1, ginval4, gstore2, gstore1, nx, maxino0, ginval, pstate, syn0; ; maxino); apersistence_set_iblock_refsize# (adr.lnum, maxino - adr.size, adr0, istore1, ginval4, gstore2, gstore1, nx, maxino0, ginval, pstate, syn0; istore2)}}⟫ ( (∃ ri, fi. btree-inv(rp, adr0, istore2, istore1, zh, ri, fi)) ∧ inv(gstore2 \ ginval4) ∧ inv(gstore1) ∧ elems nx ∩ ginval4 = ∅ ∧ ¬ dups(nx) ∧ dom gstore1 ∪ elems nx = dom gstore2 ∪ ginval4 ∧ remove-refsize0(gstore1) = gstore1 ∧ inv(istore2) ∧ inv(istore1) ∧ istore1 ⊑ istore2 ∧ remove-refsize0(istore1) = istore1 ∧ (pstate.journal? → nx ≠ [] ∧ pstate.lnum = nx.last ∧ pstate.lnum ∈ gstore2) ∧ (pstate.index? → pstate.lnum ∈ istore2) ∧ (pstate = unbuffered → syn0))), dups(nx)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 16:
zh[rp] = mkznode(r, zbrar, boolvar, true, m), pstate = unbuffered, 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, adr3, istore2, istore1, zh, ri, fi), inv(istore1), inv(istore2), inv(gstore1), inv(gstore2 \ ginval4), rp ∈ zh, istore1 ⊑ istore2, ¬ dups(nx) ⊦ [apersistence_allocate_ind#(adr3, istore1, ginval4, gstore2, gstore1, nx, maxino0, ginval, true; istore2, pstate; err)] ( inv(istore2) ∧ istore1 ⊑ istore2 ∧ (pstate.journal? → nx ≠ [] ∧ pstate.lnum = nx.last ∧ pstate.lnum ∈ gstore2) ∧ (pstate.index? → pstate.lnum ∈ istore2) → ⟪syn0 := true; adr0 := adr3; adr := adr3; if err = ESUCCESS then btree_commit_rec#(rp, adr0, istore1, ginval4, gstore2, gstore1, nx, maxino0, ginval; adr, err, zh, istore2, pstate, syn0); syn := false; if err = ESUCCESS then {syn := true; apersistence_sync#(adr0, istore2, istore1, ginval4, gstore2, gstore1, nx, maxino0, ginval; pstate, syn0; err)}; if err = ESUCCESS then apersistence_commit# (adr, maxino1, syn0; ginval1, adr0, istore2, istore1, ginval4, gstore2, gstore1, nx, maxino0, ginval, pstate; err); if err = ESUCCESS then adr3 := adr else if syn then {zh[rp].dirty := true; let maxino = 0 in {apersistence_get_iblock_refsize# (adr.lnum, adr0, istore2, istore1, ginval4, gstore2, gstore1, nx, maxino0, ginval, pstate, syn0; ; maxino); apersistence_set_iblock_refsize# (adr.lnum, maxino - adr.size, adr0, istore1, ginval4, gstore2, gstore1, nx, maxino0, ginval, pstate, syn0; istore2)}}⟫ ( (∃ ri, fi. btree-inv(rp, adr0, istore2, istore1, zh, ri, fi)) ∧ inv(gstore2 \ ginval4) ∧ inv(gstore1) ∧ elems nx ∩ ginval4 = ∅ ∧ ¬ dups(nx) ∧ dom gstore1 ∪ elems nx = dom gstore2 ∪ ginval4 ∧ remove-refsize0(gstore1) = gstore1 ∧ inv(istore2) ∧ inv(istore1) ∧ istore1 ⊑ istore2 ∧ remove-refsize0(istore1) = istore1 ∧ (pstate.journal? → nx ≠ [] ∧ pstate.lnum = nx.last ∧ pstate.lnum ∈ gstore2) ∧ (pstate.index? → pstate.lnum ∈ istore2) ∧ (pstate = unbuffered → syn0)))

Rule argument

Additional information

Used simplifier rules: ⊦ inv-index(istore, istore0) ↔ inv(istore) ∧ inv(istore0) ∧ istore0 ⊑ istore ∧ remove-refsize0(istore0) = istore0; (s)%⊦ inv-journal(nx, gstore, gstore0, ginval) ↔ inv(gstore \ ginval) ∧ inv(gstore0) ∧ elems nx ∩ ginval = ∅ ∧ ¬ dups(nx) ∧ dom gstore0 ∪ elems nx = dom gstore ∪ ginval ∧ remove-refsize0(gstore0) = gstore0; (s)% ⊦ ¬ unbuffered.index?; (s)% ⊦ ¬ unbuffered.journal?; (s)%⊦ inv-state(pstate, nx, gstore, istore, syn) ↔ ( pstate.journal? → nx ≠ [] ∧ pstate.lnum = nx.last ∧ pstate.lnum ∈ gstore) ∧ (pstate.index? → pstate.lnum ∈ istore) ∧ (pstate = unbuffered → syn); (s)