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Proof step 7 from proof inv-recover (previous step)

gstore0 = crash(gstore2, gstore1, ginval0, nx), istore0 = remove-refsize0(crash(istore2, istore1)), remove-refsize0(istore1) = istore1, remove-refsize0(gstore1) = gstore1, elems nx ∩ ginval0 = ∅, dom gstore1 ∪ elems nx = dom gstore2 ∪ ginval0, btree-inv(rp, adr2, istore2, istore1, zh, ri, fi), inv(istore1), inv(istore2), inv(gstore1), inv(gstore2 \ ginval0), istore1 ⊑ istore2, ¬ dups(nx), pstate1.index? → pstate1.lnum ∈ istore2, pstate1.journal? → nx ≠ [] ∧ pstate1.lnum = nx.last ∧ pstate1.lnum ∈ gstore2 ⊦ [apersistence_recover#(; adr0, maxino0, nx0, ginval1, adr2, nx, maxino, ginval, istore0, istore1, ginval0, gstore0, gstore1; pstate, syn, err)] ( ( err = ESUCCESS → syn ∧ inv(gstore0 \ ginval0) ∧ inv(gstore1) ∧ elems nx ∩ ginval0 = ∅ ∧ ¬ dups(nx) ∧ dom gstore1 ∪ elems nx = dom gstore0 ∪ ginval0 ∧ remove-refsize0(gstore1) = gstore1 ∧ inv(istore0) ∧ inv(istore1) ∧ istore1 ⊑ istore0 ∧ remove-refsize0(istore1) = istore1 ∧ (pstate.journal? → nx ≠ [] ∧ pstate.lnum = nx.last ∧ pstate.lnum ∈ gstore0) ∧ (pstate.index? → pstate.lnum ∈ istore0)) → ⟪rp := null⟫ ( err = ESUCCESS → syn ∧ (∃ ri, fi. btree-inv(rp, adr2, istore0, istore1, zh0, ri, fi)) ∧ inv(gstore0 \ ginval0) ∧ inv(gstore1) ∧ elems nx ∩ ginval0 = ∅ ∧ ¬ dups(nx) ∧ dom gstore1 ∪ elems nx = dom gstore0 ∪ ginval0 ∧ remove-refsize0(gstore1) = gstore1 ∧ inv(istore0) ∧ inv(istore1) ∧ istore1 ⊑ istore0 ∧ remove-refsize0(istore1) = istore1 ∧ (pstate.journal? → nx ≠ [] ∧ pstate.lnum = nx.last ∧ pstate.lnum ∈ gstore0) ∧ (pstate.index? → pstate.lnum ∈ istore0)))

Heuristic nonrecursive calls applied rule call right

And obtained the following new goals

Proof step 8:
adr = adr2, ginval = ginval2, ginval0 = ginval3, gstore = gstore1, gstore0 = crash(gstore2, gstore1, ginval2, nx), istore = istore1, istore0 = remove-refsize0(crash(istore2, istore1)), remove-refsize0(gstore1) = gstore1, remove-refsize0(istore1) = istore1, elems nx ∩ ginval2 = ∅, dom gstore1 ∪ elems nx = dom gstore2 ∪ ginval2, btree-inv(rp, adr2, istore2, istore1, zh, ri, fi), inv(gstore2 \ ginval2), inv(gstore1), inv(istore2), inv(istore1), istore1 ⊑ istore2, pstate1.journal? → nx ≠ [] ∧ pstate1.lnum = nx.last ∧ pstate1.lnum ∈ gstore2, pstate1.index? → pstate1.lnum ∈ istore2 ⊦ [fail_or_success#(; ; err); if err = ESUCCESS then pstate := unbuffered, syn := true, adr0 := adr, maxino0 := maxino, nx0 := nx, ginval1 := ginval0 else pstate := ?, syn := ?, adr := ?, istore0 := ?, istore := ?, ginval := ?, gstore0 := ?, gstore := ?, nx := ?, maxino := ?, ginval0 := ?, adr0 := ?, maxino0 := ?, nx0 := ?, ginval1 := ?] ( ( err = ESUCCESS → syn ∧ inv(gstore0 \ ginval) ∧ inv(gstore) ∧ elems nx ∩ ginval = ∅ ∧ ¬ dups(nx) ∧ dom gstore ∪ elems nx = dom gstore0 ∪ ginval ∧ remove-refsize0(gstore) = gstore ∧ inv(istore0) ∧ inv(istore) ∧ istore ⊑ istore0 ∧ remove-refsize0(istore) = istore ∧ (pstate.journal? → nx ≠ [] ∧ pstate.lnum = nx.last ∧ pstate.lnum ∈ gstore0) ∧ (pstate.index? → pstate.lnum ∈ istore0)) → ⟪rp := null⟫ ( err = ESUCCESS → syn ∧ (∃ ri, fi. btree-inv(rp, adr, istore0, istore, zh0, ri, fi)) ∧ inv(gstore0 \ ginval) ∧ inv(gstore) ∧ elems nx ∩ ginval = ∅ ∧ ¬ dups(nx) ∧ dom gstore ∪ elems nx = dom gstore0 ∪ ginval ∧ remove-refsize0(gstore) = gstore ∧ inv(istore0) ∧ inv(istore) ∧ istore ⊑ istore0 ∧ remove-refsize0(istore) = istore ∧ (pstate.journal? → nx ≠ [] ∧ pstate.lnum = nx.last ∧ pstate.lnum ∈ gstore0) ∧ (pstate.index? → pstate.lnum ∈ istore0))), dups(nx)

Rule argument

pos: right 1

Additional information

Used simplifier rules: apersistence_recover# (; ROOTADR0, MAXINO0, NL0, OS0, ROOTADR, NL, MAXINO, OS, ISTORE, ISTORE0, GINVAL, GSTORE, GSTORE0 ; PSTATE, PSYNCED, ERR ) {fail_or_success#(; ; ERR); if ERR = ESUCCESS then PSTATE := unbuffered, PSYNCED := true, ROOTADR0 := ROOTADR, MAXINO0 := MAXINO, NL0 := NL, OS0 := OS else PSTATE := ?, PSYNCED := ?, ROOTADR := ?, ISTORE := ?, ISTORE0 := ?, GINVAL := ?, GSTORE := ?, GSTORE0 := ?, NL := ?, MAXINO := ?, OS := ?, ROOTADR0 := ?, MAXINO0 := ?, NL0 := ?, OS0 := ? };