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Proof step 36 from proof inv-commit (previous step)

zh[rp] = mkznode(r, zbrar, boolvar, true, m), adr2 = adr3, adr3 = adr, err1 = ESUCCESS, fi0 = fi, ginval0 = ginval4, gstore3 = gstore2, gstore4 = gstore1, ino0 = maxino0, istore = istore3[n, indexblock([], [], 0)], istore = istore, istore2 = istore, istore4 = istore1, ns0 = ginval, nx0 = nx, pstate = index(n), r1 = rp, remove-refsize0(gstore1) = gstore1, remove-refsize0(istore1) = istore1, ri0 = ri, syn0, dom remove-refsize0(gstore2) ∩ ginval4 = ∅, elems nx ∩ ginval4 = ∅, dom gstore1 ∪ elems nx = dom gstore2 ∪ ginval4, zh[rp].dirty, pstate.index?, btree-inv(rp, adr3, istore3, istore1, zh, ri, fi), btree-inv(rp, adr3, istore, istore1, zh, ri, fi), inv(gstore2 \ ginval4), inv(gstore1), inv(istore3), inv(istore1), inv(istore3[n, indexblock([], [], 0)]), inv-index(istore, istore1), inv-journal(nx, gstore2, gstore1, ginval4), inv-state(pstate, nx, gstore2, istore, syn0), rp ∈ zh, istore1 ⊑ istore3, istore1 ⊑ istore3[n, indexblock([], [], 0)] ⊦ [btree_commit_rec#(rp, adr3, istore1, ginval4, gstore2, gstore1, nx, maxino0, ginval; adr, err1, zh, istore, pstate, syn0)] ( istore2 ⊑ istore ∧ inv-state(pstate, nx0, gstore3, istore, syn0) ∧ inv-journal(nx0, gstore3, gstore4, ginval0) ∧ inv-index(istore, istore4) ∧ (err1 ≠ ESUCCESS → btree-inv(r1, adr2, istore, istore4, zh, ri0, fi0)) ∧ ( err1 = ESUCCESS → btree-inv(r1, adr, istore, istore, zh, ri0, ri0) ∧ btree-inv (r1, adr2, istore[adr.lnum, istore[adr.lnum].ref-size:= (istore[adr.lnum].ref-size - adr.size)], istore4, zh[r1, zh[r1].dirty:= true], ri0, fi0) ∧ ¬ zh[r1].dirty) → ⟪syn := false; adr0 := adr3; if err1 = ESUCCESS then {syn := true; apersistence_sync#(adr0, istore, istore1, ginval4, gstore2, gstore1, nx, maxino0, ginval; pstate, syn0; err1)}; if err1 = ESUCCESS then apersistence_commit# (adr, maxino1, syn0; ginval1, adr0, istore, istore1, ginval4, gstore2, gstore1, nx, maxino0, ginval, pstate; err1); if err1 = ESUCCESS then adr3 := adr else if syn then {zh[rp].dirty := true; let maxino = 0 in {apersistence_get_iblock_refsize# (adr.lnum, adr0, istore, 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; istore)}}⟫ ( (∃ ri, fi. btree-inv(rp, adr0, istore, 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(istore) ∧ inv(istore1) ∧ istore1 ⊑ istore ∧ remove-refsize0(istore1) = istore1 ∧ (pstate.journal? → nx ≠ [] ∧ pstate.lnum = nx.last ∧ pstate.lnum ∈ gstore2) ∧ (pstate.index? → pstate.lnum ∈ istore) ∧ (pstate = unbuffered → syn0))), dups(nx), n ∈ istore3

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 37:
zh[rp] = mkznode(r, zbrar, boolvar, true, m), adr3 = adr, err1 = ESUCCESS, istore = istore3[n, indexblock([], [], 0)], pstate = index(n), remove-refsize0(gstore1) = gstore1, remove-refsize0(istore1) = istore1, syn0, dom remove-refsize0(gstore2) ∩ ginval4 = ∅, elems nx ∩ ginval4 = ∅, dom gstore1 ∪ elems nx = dom gstore2 ∪ ginval4, btree-inv(rp, adr, istore3, istore1, zh, ri, fi), btree-inv(rp, adr, istore3[n, indexblock([], [], 0)], istore1, zh, ri, fi), inv(gstore2 \ ginval4), inv(gstore1), inv(istore3), inv(istore1), inv(istore3[n, indexblock([], [], 0)]), rp ∈ zh, istore1 ⊑ istore3, istore1 ⊑ istore3[n, indexblock([], [], 0)], ¬ dups(nx), ¬ n ∈ istore3 ⊦ [btree_commit_rec#(rp, adr, istore1, ginval4, gstore2, gstore1, nx, maxino0, ginval; adr, err1, zh, istore, pstate, syn0)] ( istore3[n, indexblock([], [], 0)] ⊑ istore ∧ (pstate.journal? → nx ≠ [] ∧ pstate.lnum = nx.last ∧ pstate.lnum ∈ gstore2) ∧ (pstate.index? → pstate.lnum ∈ istore) ∧ (pstate = unbuffered → syn0) ∧ inv(istore) ∧ istore1 ⊑ istore ∧ (err1 ≠ ESUCCESS → btree-inv(rp, adr3, istore, istore1, zh, ri, fi)) ∧ ( err1 = ESUCCESS → btree-inv(rp, adr, istore, istore, zh, ri, ri) ∧ btree-inv (rp, adr3, istore[adr.lnum, istore[adr.lnum].ref-size:= (istore[adr.lnum].ref-size - adr.size)], istore1, zh[rp, zh[rp].dirty:= true], ri, fi) ∧ ¬ zh[rp].dirty) → ⟪syn := false; adr0 := adr3; if err1 = ESUCCESS then {syn := true; apersistence_sync#(adr0, istore, istore1, ginval4, gstore2, gstore1, nx, maxino0, ginval; pstate, syn0; err1)}; if err1 = ESUCCESS then apersistence_commit# (adr, maxino1, syn0; ginval1, adr0, istore, istore1, ginval4, gstore2, gstore1, nx, maxino0, ginval, pstate; err1); if err1 = ESUCCESS then adr3 := adr else if syn then {zh[rp].dirty := true; let maxino = 0 in {apersistence_get_iblock_refsize# (adr.lnum, adr0, istore, 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; istore)}}⟫ ( (∃ ri, fi. btree-inv(rp, adr0, istore, 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(istore) ∧ inv(istore1) ∧ istore1 ⊑ istore ∧ remove-refsize0(istore1) = istore1 ∧ (pstate.journal? → nx ≠ [] ∧ pstate.lnum = nx.last ∧ pstate.lnum ∈ gstore2) ∧ (pstate.index? → pstate.lnum ∈ istore) ∧ (pstate = unbuffered → syn0)))

Rule argument

Additional information

Used simplifier rules: ⊦ mkznode(r, zbrar, boolvar, boolvar0, m).dirty ↔ boolvar0; (s)%⊦ 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)% ⊦ n ∈ istore[n0, iblock] ↔ n = n0 ∨ n ∈ istore; (ws)% ⊦ index(m).lnum = m; (s)% ⊦ index(m).index?; (s)% ⊦ ¬ index(m).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)