           *******************************************************
                       Semantic Analysis of SPARK Text
                             Examiner GPL Edition

           *******************************************************


          procedure dns_table_pkg.DNS_Table_Type.InsertRRSIGRecord




For path(s) from start to run-time check associated with statement of line 625:

procedure_insertrrsigrecord_1.
H1:    for_all(i___1: integer, ((i___1 >= 
           rr_type__wirestringtypeindex__first) and (i___1 <= 
           rr_type__wirestringtypeindex__last)) -> ((element(
           key, [i___1]) >= character__first) and (element(
           key, [i___1]) <= character__last))) .
H2:    fld_ttlinseconds(fld_inherit(therecord)) >= 
           unsigned_types__unsigned32__first .
H3:    fld_ttlinseconds(fld_inherit(therecord)) <= 
           unsigned_types__unsigned32__last .
H4:    fld_class(fld_inherit(therecord)) >= 
           rr_type__classtype__first .
H5:    fld_class(fld_inherit(therecord)) <= 
           rr_type__classtype__last .
H6:    fld_typecovered(therecord) >= dns_types__query_type__first .
H7:    fld_typecovered(therecord) <= dns_types__query_type__last .
H8:    fld_algorithm(therecord) >= unsigned_types__unsigned8__first .
H9:    fld_algorithm(therecord) <= unsigned_types__unsigned8__last .
H10:   fld_numlabels(therecord) >= unsigned_types__unsigned8__first .
H11:   fld_numlabels(therecord) <= unsigned_types__unsigned8__last .
H12:   fld_origttl(therecord) >= unsigned_types__unsigned32__first .
H13:   fld_origttl(therecord) <= unsigned_types__unsigned32__last .
H14:   fld_sigexpiration(therecord) >= 
           unsigned_types__unsigned32__first .
H15:   fld_sigexpiration(therecord) <= 
           unsigned_types__unsigned32__last .
H16:   fld_siginception(therecord) >= 
           unsigned_types__unsigned32__first .
H17:   fld_siginception(therecord) <= 
           unsigned_types__unsigned32__last .
H18:   fld_keytag(therecord) >= unsigned_types__unsigned16__first .
H19:   fld_keytag(therecord) <= unsigned_types__unsigned16__last .
H20:   for_all(i___1: integer, ((i___1 >= 
           rr_type__domainnamestringtypeindex__first) and (
           i___1 <= rr_type__domainnamestringtypeindex__last)) -> ((element(
           fld_signername(therecord), [i___1]) >= character__first) and (element(
           fld_signername(therecord), [i___1]) <= character__last))) .
H21:   for_all(i___2: integer, ((i___2 >= 
           rr_type__rrsig_record_type__rrsigstringtypeindex__first) and (
           i___2 <= 
           rr_type__rrsig_record_type__rrsigstringtypeindex__last)) -> ((element(
           fld_signature(therecord), [i___2]) >= character__first) and (element(
           fld_signature(therecord), [i___2]) <= character__last))) .
H22:   fld_signaturelength(therecord) >= 
           rr_type__rrsig_record_type__siglengthvaluetype__first .
H23:   fld_signaturelength(therecord) <= 
           rr_type__rrsig_record_type__siglengthvaluetype__last .
H24:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_ttlinseconds(fld_inherit(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2]))) >= unsigned_types__unsigned32__first) and (
           fld_ttlinseconds(fld_inherit(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2]))) <= unsigned_types__unsigned32__last))))) .
H25:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_class(fld_inherit(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2]))) >= rr_type__classtype__first) and (fld_class(
           fld_inherit(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2]))) <= rr_type__classtype__last))))) .
H26:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_typecovered(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= dns_types__query_type__first) and (
           fld_typecovered(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= dns_types__query_type__last))))) .
H27:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_algorithm(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= unsigned_types__unsigned8__first) and (
           fld_algorithm(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= unsigned_types__unsigned8__last))))) .
H28:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_numlabels(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= unsigned_types__unsigned8__first) and (
           fld_numlabels(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= unsigned_types__unsigned8__last))))) .
H29:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_origttl(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= unsigned_types__unsigned32__first) and (
           fld_origttl(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= unsigned_types__unsigned32__last))))) .
H30:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_sigexpiration(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= unsigned_types__unsigned32__first) and (
           fld_sigexpiration(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= unsigned_types__unsigned32__last))))) .
H31:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_siginception(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= unsigned_types__unsigned32__first) and (
           fld_siginception(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= unsigned_types__unsigned32__last))))) .
H32:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_keytag(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= unsigned_types__unsigned16__first) and (
           fld_keytag(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= unsigned_types__unsigned16__last))))) .
H33:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> (for_all(
           i___3: integer, ((i___3 >= 
           rr_type__domainnamestringtypeindex__first) and (
           i___3 <= rr_type__domainnamestringtypeindex__last)) -> ((element(
           fld_signername(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])), [i___3]) >= character__first) and (element(
           fld_signername(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])), [i___3]) <= character__last))))))) .
H34:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> (for_all(
           i___4: integer, ((i___4 >= 
           rr_type__rrsig_record_type__rrsigstringtypeindex__first) and (
           i___4 <= 
           rr_type__rrsig_record_type__rrsigstringtypeindex__last)) -> ((element(
           fld_signature(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])), [i___4]) >= character__first) and (element(
           fld_signature(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])), [i___4]) <= character__last))))))) .
H35:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_signaturelength(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= 
           rr_type__rrsig_record_type__siglengthvaluetype__first) and (
           fld_signaturelength(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= 
           rr_type__rrsig_record_type__siglengthvaluetype__last))))) .
H36:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> (for_all(
           i___3: integer, ((i___3 >= 
           rr_type__wirestringtypeindex__first) and (i___3 <= 
           rr_type__wirestringtypeindex__last)) -> ((element(element(element(
           dns_table_type__rrsigrecordkeys, [i___1]), [
           i___2]), [i___3]) >= character__first) and (element(element(element(
           dns_table_type__rrsigrecordkeys, [i___1]), [
           i___2]), [i___3]) <= character__last))))))) .
H37:   for_all(i___1: integer, ((i___1 >= 
           rr_type__wirestringtypeindex__first) and (i___1 <= 
           rr_type__wirestringtypeindex__last)) -> ((element(
           to_lower(key), [i___1]) >= character__first) and (element(
           to_lower(key), [i___1]) <= character__last))) .
H38:   for_all(i___1: integer, ((i___1 >= 
           rr_type__wirestringtypeindex__first) and (i___1 <= 
           rr_type__wirestringtypeindex__last)) -> ((element(
           to_lower(key), [i___1]) >= character__first) and (element(
           to_lower(key), [i___1]) <= character__last))) .
H39:   hash(to_lower(key)) >= rr_type__numbucketsindextype__first .
H40:   hash(to_lower(key)) <= rr_type__numbucketsindextype__last .
        ->
C1:    hash(to_lower(key)) >= rr_type__numbucketsindextype__first .
C2:    hash(to_lower(key)) <= rr_type__numbucketsindextype__last .
 

For path(s) from start to assertion of line 629:

procedure_insertrrsigrecord_2.
H1:    for_all(i___1: integer, ((i___1 >= 
           rr_type__wirestringtypeindex__first) and (i___1 <= 
           rr_type__wirestringtypeindex__last)) -> ((element(
           key, [i___1]) >= character__first) and (element(
           key, [i___1]) <= character__last))) .
H2:    fld_ttlinseconds(fld_inherit(therecord)) >= 
           unsigned_types__unsigned32__first .
H3:    fld_ttlinseconds(fld_inherit(therecord)) <= 
           unsigned_types__unsigned32__last .
H4:    fld_class(fld_inherit(therecord)) >= 
           rr_type__classtype__first .
H5:    fld_class(fld_inherit(therecord)) <= 
           rr_type__classtype__last .
H6:    fld_typecovered(therecord) >= dns_types__query_type__first .
H7:    fld_typecovered(therecord) <= dns_types__query_type__last .
H8:    fld_algorithm(therecord) >= unsigned_types__unsigned8__first .
H9:    fld_algorithm(therecord) <= unsigned_types__unsigned8__last .
H10:   fld_numlabels(therecord) >= unsigned_types__unsigned8__first .
H11:   fld_numlabels(therecord) <= unsigned_types__unsigned8__last .
H12:   fld_origttl(therecord) >= unsigned_types__unsigned32__first .
H13:   fld_origttl(therecord) <= unsigned_types__unsigned32__last .
H14:   fld_sigexpiration(therecord) >= 
           unsigned_types__unsigned32__first .
H15:   fld_sigexpiration(therecord) <= 
           unsigned_types__unsigned32__last .
H16:   fld_siginception(therecord) >= 
           unsigned_types__unsigned32__first .
H17:   fld_siginception(therecord) <= 
           unsigned_types__unsigned32__last .
H18:   fld_keytag(therecord) >= unsigned_types__unsigned16__first .
H19:   fld_keytag(therecord) <= unsigned_types__unsigned16__last .
H20:   for_all(i___1: integer, ((i___1 >= 
           rr_type__domainnamestringtypeindex__first) and (
           i___1 <= rr_type__domainnamestringtypeindex__last)) -> ((element(
           fld_signername(therecord), [i___1]) >= character__first) and (element(
           fld_signername(therecord), [i___1]) <= character__last))) .
H21:   for_all(i___2: integer, ((i___2 >= 
           rr_type__rrsig_record_type__rrsigstringtypeindex__first) and (
           i___2 <= 
           rr_type__rrsig_record_type__rrsigstringtypeindex__last)) -> ((element(
           fld_signature(therecord), [i___2]) >= character__first) and (element(
           fld_signature(therecord), [i___2]) <= character__last))) .
H22:   fld_signaturelength(therecord) >= 
           rr_type__rrsig_record_type__siglengthvaluetype__first .
H23:   fld_signaturelength(therecord) <= 
           rr_type__rrsig_record_type__siglengthvaluetype__last .
H24:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_ttlinseconds(fld_inherit(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2]))) >= unsigned_types__unsigned32__first) and (
           fld_ttlinseconds(fld_inherit(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2]))) <= unsigned_types__unsigned32__last))))) .
H25:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_class(fld_inherit(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2]))) >= rr_type__classtype__first) and (fld_class(
           fld_inherit(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2]))) <= rr_type__classtype__last))))) .
H26:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_typecovered(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= dns_types__query_type__first) and (
           fld_typecovered(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= dns_types__query_type__last))))) .
H27:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_algorithm(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= unsigned_types__unsigned8__first) and (
           fld_algorithm(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= unsigned_types__unsigned8__last))))) .
H28:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_numlabels(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= unsigned_types__unsigned8__first) and (
           fld_numlabels(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= unsigned_types__unsigned8__last))))) .
H29:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_origttl(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= unsigned_types__unsigned32__first) and (
           fld_origttl(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= unsigned_types__unsigned32__last))))) .
H30:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_sigexpiration(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= unsigned_types__unsigned32__first) and (
           fld_sigexpiration(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= unsigned_types__unsigned32__last))))) .
H31:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_siginception(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= unsigned_types__unsigned32__first) and (
           fld_siginception(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= unsigned_types__unsigned32__last))))) .
H32:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_keytag(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= unsigned_types__unsigned16__first) and (
           fld_keytag(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= unsigned_types__unsigned16__last))))) .
H33:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> (for_all(
           i___3: integer, ((i___3 >= 
           rr_type__domainnamestringtypeindex__first) and (
           i___3 <= rr_type__domainnamestringtypeindex__last)) -> ((element(
           fld_signername(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])), [i___3]) >= character__first) and (element(
           fld_signername(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])), [i___3]) <= character__last))))))) .
H34:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> (for_all(
           i___4: integer, ((i___4 >= 
           rr_type__rrsig_record_type__rrsigstringtypeindex__first) and (
           i___4 <= 
           rr_type__rrsig_record_type__rrsigstringtypeindex__last)) -> ((element(
           fld_signature(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])), [i___4]) >= character__first) and (element(
           fld_signature(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])), [i___4]) <= character__last))))))) .
H35:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_signaturelength(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= 
           rr_type__rrsig_record_type__siglengthvaluetype__first) and (
           fld_signaturelength(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= 
           rr_type__rrsig_record_type__siglengthvaluetype__last))))) .
H36:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> (for_all(
           i___3: integer, ((i___3 >= 
           rr_type__wirestringtypeindex__first) and (i___3 <= 
           rr_type__wirestringtypeindex__last)) -> ((element(element(element(
           dns_table_type__rrsigrecordkeys, [i___1]), [
           i___2]), [i___3]) >= character__first) and (element(element(element(
           dns_table_type__rrsigrecordkeys, [i___1]), [
           i___2]), [i___3]) <= character__last))))))) .
H37:   for_all(i___1: integer, ((i___1 >= 
           rr_type__wirestringtypeindex__first) and (i___1 <= 
           rr_type__wirestringtypeindex__last)) -> ((element(
           to_lower(key), [i___1]) >= character__first) and (element(
           to_lower(key), [i___1]) <= character__last))) .
H38:   for_all(i___1: integer, ((i___1 >= 
           rr_type__wirestringtypeindex__first) and (i___1 <= 
           rr_type__wirestringtypeindex__last)) -> ((element(
           to_lower(key), [i___1]) >= character__first) and (element(
           to_lower(key), [i___1]) <= character__last))) .
H39:   hash(to_lower(key)) >= rr_type__numbucketsindextype__first .
H40:   hash(to_lower(key)) <= rr_type__numbucketsindextype__last .
H41:   hash(to_lower(key)) >= rr_type__numbucketsindextype__first .
H42:   hash(to_lower(key)) <= rr_type__numbucketsindextype__last .
        ->
C1:    for_all(i___1: integer, ((i___1 >= 
           rr_type__wirestringtypeindex__first) and (i___1 <= 
           rr_type__wirestringtypeindex__last)) -> ((element(
           key, [i___1]) >= character__first) and (element(
           key, [i___1]) <= character__last))) .
C2:    fld_ttlinseconds(fld_inherit(therecord)) >= 
           unsigned_types__unsigned32__first .
C3:    fld_ttlinseconds(fld_inherit(therecord)) <= 
           unsigned_types__unsigned32__last .
C4:    fld_class(fld_inherit(therecord)) >= 
           rr_type__classtype__first .
C5:    fld_class(fld_inherit(therecord)) <= 
           rr_type__classtype__last .
C6:    fld_typecovered(therecord) >= dns_types__query_type__first .
C7:    fld_typecovered(therecord) <= dns_types__query_type__last .
C8:    fld_algorithm(therecord) >= unsigned_types__unsigned8__first .
C9:    fld_algorithm(therecord) <= unsigned_types__unsigned8__last .
C10:   fld_numlabels(therecord) >= unsigned_types__unsigned8__first .
C11:   fld_numlabels(therecord) <= unsigned_types__unsigned8__last .
C12:   fld_origttl(therecord) >= unsigned_types__unsigned32__first .
C13:   fld_origttl(therecord) <= unsigned_types__unsigned32__last .
C14:   fld_sigexpiration(therecord) >= 
           unsigned_types__unsigned32__first .
C15:   fld_sigexpiration(therecord) <= 
           unsigned_types__unsigned32__last .
C16:   fld_siginception(therecord) >= 
           unsigned_types__unsigned32__first .
C17:   fld_siginception(therecord) <= 
           unsigned_types__unsigned32__last .
C18:   fld_keytag(therecord) >= unsigned_types__unsigned16__first .
C19:   fld_keytag(therecord) <= unsigned_types__unsigned16__last .
C20:   for_all(i___1: integer, ((i___1 >= 
           rr_type__domainnamestringtypeindex__first) and (
           i___1 <= rr_type__domainnamestringtypeindex__last)) -> ((element(
           fld_signername(therecord), [i___1]) >= character__first) and (element(
           fld_signername(therecord), [i___1]) <= character__last))) .
C21:   for_all(i___2: integer, ((i___2 >= 
           rr_type__rrsig_record_type__rrsigstringtypeindex__first) and (
           i___2 <= 
           rr_type__rrsig_record_type__rrsigstringtypeindex__last)) -> ((element(
           fld_signature(therecord), [i___2]) >= character__first) and (element(
           fld_signature(therecord), [i___2]) <= character__last))) .
C22:   fld_signaturelength(therecord) >= 
           rr_type__rrsig_record_type__siglengthvaluetype__first .
C23:   fld_signaturelength(therecord) <= 
           rr_type__rrsig_record_type__siglengthvaluetype__last .
C24:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_ttlinseconds(fld_inherit(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2]))) >= unsigned_types__unsigned32__first) and (
           fld_ttlinseconds(fld_inherit(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2]))) <= unsigned_types__unsigned32__last))))) .
C25:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_class(fld_inherit(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2]))) >= rr_type__classtype__first) and (fld_class(
           fld_inherit(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2]))) <= rr_type__classtype__last))))) .
C26:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_typecovered(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= dns_types__query_type__first) and (
           fld_typecovered(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= dns_types__query_type__last))))) .
C27:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_algorithm(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= unsigned_types__unsigned8__first) and (
           fld_algorithm(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= unsigned_types__unsigned8__last))))) .
C28:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_numlabels(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= unsigned_types__unsigned8__first) and (
           fld_numlabels(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= unsigned_types__unsigned8__last))))) .
C29:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_origttl(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= unsigned_types__unsigned32__first) and (
           fld_origttl(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= unsigned_types__unsigned32__last))))) .
C30:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_sigexpiration(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= unsigned_types__unsigned32__first) and (
           fld_sigexpiration(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= unsigned_types__unsigned32__last))))) .
C31:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_siginception(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= unsigned_types__unsigned32__first) and (
           fld_siginception(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= unsigned_types__unsigned32__last))))) .
C32:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_keytag(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= unsigned_types__unsigned16__first) and (
           fld_keytag(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= unsigned_types__unsigned16__last))))) .
C33:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> (for_all(
           i___3: integer, ((i___3 >= 
           rr_type__domainnamestringtypeindex__first) and (
           i___3 <= rr_type__domainnamestringtypeindex__last)) -> ((element(
           fld_signername(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])), [i___3]) >= character__first) and (element(
           fld_signername(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])), [i___3]) <= character__last))))))) .
C34:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> (for_all(
           i___4: integer, ((i___4 >= 
           rr_type__rrsig_record_type__rrsigstringtypeindex__first) and (
           i___4 <= 
           rr_type__rrsig_record_type__rrsigstringtypeindex__last)) -> ((element(
           fld_signature(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])), [i___4]) >= character__first) and (element(
           fld_signature(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])), [i___4]) <= character__last))))))) .
C35:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_signaturelength(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= 
           rr_type__rrsig_record_type__siglengthvaluetype__first) and (
           fld_signaturelength(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= 
           rr_type__rrsig_record_type__siglengthvaluetype__last))))) .
C36:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> (for_all(
           i___3: integer, ((i___3 >= 
           rr_type__wirestringtypeindex__first) and (i___3 <= 
           rr_type__wirestringtypeindex__last)) -> ((element(element(element(
           dns_table_type__rrsigrecordkeys, [i___1]), [
           i___2]), [i___3]) >= character__first) and (element(element(element(
           dns_table_type__rrsigrecordkeys, [i___1]), [
           i___2]), [i___3]) <= character__last))))))) .
C37:   rr_type__returnedrecordsindextype__first >= 
           rr_type__returnedrecordsindextype__first .
C38:   rr_type__returnedrecordsindextype__first <= 
           rr_type__returnedrecordsindextype__last .
C39:   rr_type__returnedrecordsindextype__first >= 
           rr_type__returnedrecordsindextype__first .
C40:   rr_type__returnedrecordsindextype__first <= 
           rr_type__returnedrecordsindextype__last .
 

For path(s) from assertion of line 629 to assertion of line 629:

procedure_insertrrsigrecord_3.
H1:    for_all(i___1: integer, ((i___1 >= 
           rr_type__wirestringtypeindex__first) and (i___1 <= 
           rr_type__wirestringtypeindex__last)) -> ((element(
           key, [i___1]) >= character__first) and (element(
           key, [i___1]) <= character__last))) .
H2:    fld_ttlinseconds(fld_inherit(therecord)) >= 
           unsigned_types__unsigned32__first .
H3:    fld_ttlinseconds(fld_inherit(therecord)) <= 
           unsigned_types__unsigned32__last .
H4:    fld_class(fld_inherit(therecord)) >= 
           rr_type__classtype__first .
H5:    fld_class(fld_inherit(therecord)) <= 
           rr_type__classtype__last .
H6:    fld_typecovered(therecord) >= dns_types__query_type__first .
H7:    fld_typecovered(therecord) <= dns_types__query_type__last .
H8:    fld_algorithm(therecord) >= unsigned_types__unsigned8__first .
H9:    fld_algorithm(therecord) <= unsigned_types__unsigned8__last .
H10:   fld_numlabels(therecord) >= unsigned_types__unsigned8__first .
H11:   fld_numlabels(therecord) <= unsigned_types__unsigned8__last .
H12:   fld_origttl(therecord) >= unsigned_types__unsigned32__first .
H13:   fld_origttl(therecord) <= unsigned_types__unsigned32__last .
H14:   fld_sigexpiration(therecord) >= 
           unsigned_types__unsigned32__first .
H15:   fld_sigexpiration(therecord) <= 
           unsigned_types__unsigned32__last .
H16:   fld_siginception(therecord) >= 
           unsigned_types__unsigned32__first .
H17:   fld_siginception(therecord) <= 
           unsigned_types__unsigned32__last .
H18:   fld_keytag(therecord) >= unsigned_types__unsigned16__first .
H19:   fld_keytag(therecord) <= unsigned_types__unsigned16__last .
H20:   for_all(i___1: integer, ((i___1 >= 
           rr_type__domainnamestringtypeindex__first) and (
           i___1 <= rr_type__domainnamestringtypeindex__last)) -> ((element(
           fld_signername(therecord), [i___1]) >= character__first) and (element(
           fld_signername(therecord), [i___1]) <= character__last))) .
H21:   for_all(i___2: integer, ((i___2 >= 
           rr_type__rrsig_record_type__rrsigstringtypeindex__first) and (
           i___2 <= 
           rr_type__rrsig_record_type__rrsigstringtypeindex__last)) -> ((element(
           fld_signature(therecord), [i___2]) >= character__first) and (element(
           fld_signature(therecord), [i___2]) <= character__last))) .
H22:   fld_signaturelength(therecord) >= 
           rr_type__rrsig_record_type__siglengthvaluetype__first .
H23:   fld_signaturelength(therecord) <= 
           rr_type__rrsig_record_type__siglengthvaluetype__last .
H24:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_ttlinseconds(fld_inherit(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2]))) >= unsigned_types__unsigned32__first) and (
           fld_ttlinseconds(fld_inherit(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2]))) <= unsigned_types__unsigned32__last))))) .
H25:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_class(fld_inherit(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2]))) >= rr_type__classtype__first) and (fld_class(
           fld_inherit(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2]))) <= rr_type__classtype__last))))) .
H26:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_typecovered(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= dns_types__query_type__first) and (
           fld_typecovered(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= dns_types__query_type__last))))) .
H27:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_algorithm(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= unsigned_types__unsigned8__first) and (
           fld_algorithm(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= unsigned_types__unsigned8__last))))) .
H28:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_numlabels(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= unsigned_types__unsigned8__first) and (
           fld_numlabels(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= unsigned_types__unsigned8__last))))) .
H29:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_origttl(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= unsigned_types__unsigned32__first) and (
           fld_origttl(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= unsigned_types__unsigned32__last))))) .
H30:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_sigexpiration(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= unsigned_types__unsigned32__first) and (
           fld_sigexpiration(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= unsigned_types__unsigned32__last))))) .
H31:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_siginception(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= unsigned_types__unsigned32__first) and (
           fld_siginception(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= unsigned_types__unsigned32__last))))) .
H32:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_keytag(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= unsigned_types__unsigned16__first) and (
           fld_keytag(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= unsigned_types__unsigned16__last))))) .
H33:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> (for_all(
           i___3: integer, ((i___3 >= 
           rr_type__domainnamestringtypeindex__first) and (
           i___3 <= rr_type__domainnamestringtypeindex__last)) -> ((element(
           fld_signername(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])), [i___3]) >= character__first) and (element(
           fld_signername(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])), [i___3]) <= character__last))))))) .
H34:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> (for_all(
           i___4: integer, ((i___4 >= 
           rr_type__rrsig_record_type__rrsigstringtypeindex__first) and (
           i___4 <= 
           rr_type__rrsig_record_type__rrsigstringtypeindex__last)) -> ((element(
           fld_signature(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])), [i___4]) >= character__first) and (element(
           fld_signature(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])), [i___4]) <= character__last))))))) .
H35:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_signaturelength(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= 
           rr_type__rrsig_record_type__siglengthvaluetype__first) and (
           fld_signaturelength(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= 
           rr_type__rrsig_record_type__siglengthvaluetype__last))))) .
H36:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> (for_all(
           i___3: integer, ((i___3 >= 
           rr_type__wirestringtypeindex__first) and (i___3 <= 
           rr_type__wirestringtypeindex__last)) -> ((element(element(element(
           dns_table_type__rrsigrecordkeys, [i___1]), [
           i___2]), [i___3]) >= character__first) and (element(element(element(
           dns_table_type__rrsigrecordkeys, [i___1]), [
           i___2]), [i___3]) <= character__last))))))) .
H37:   loop__1__i >= rr_type__returnedrecordsindextype__first .
H38:   loop__1__i <= rr_type__returnedrecordsindextype__last .
H39:   loop__1__i >= rr_type__returnedrecordsindextype__first .
H40:   loop__1__i <= rr_type__returnedrecordsindextype__last .
H41:   bucket >= rr_type__numbucketsindextype__first .
H42:   bucket <= rr_type__numbucketsindextype__last .
H43:   loop__1__i >= rr_type__returnedrecordsindextype__first .
H44:   loop__1__i <= rr_type__returnedrecordsindextype__last .
H45:   bucket >= rr_type__numbucketsindextype__first .
H46:   bucket <= rr_type__numbucketsindextype__last .
H47:   element(element(dns_table_type__rrsigrecordkeys, [
           bucket]), [loop__1__i]) = rr_type__blankowner .
H48:   for_all(i___1: integer, ((i___1 >= 
           rr_type__wirestringtypeindex__first) and (i___1 <= 
           rr_type__wirestringtypeindex__last)) -> ((element(
           lower_key, [i___1]) >= character__first) and (element(
           lower_key, [i___1]) <= character__last))) .
H49:   loop__1__i >= rr_type__returnedrecordsindextype__first .
H50:   loop__1__i <= rr_type__returnedrecordsindextype__last .
H51:   bucket >= rr_type__numbucketsindextype__first .
H52:   bucket <= rr_type__numbucketsindextype__last .
H53:   loop__1__i >= rr_type__returnedrecordsindextype__first .
H54:   loop__1__i <= rr_type__returnedrecordsindextype__last .
H55:   bucket >= rr_type__numbucketsindextype__first .
H56:   bucket <= rr_type__numbucketsindextype__last .
H57:   true .
H58:   not true .
H59:   not (loop__1__i = rr_type__returnedrecordsindextype__last) .
        ->
C1:    for_all(i___1: integer, ((i___1 >= 
           rr_type__wirestringtypeindex__first) and (i___1 <= 
           rr_type__wirestringtypeindex__last)) -> ((element(
           key, [i___1]) >= character__first) and (element(
           key, [i___1]) <= character__last))) .
C2:    fld_ttlinseconds(fld_inherit(therecord)) >= 
           unsigned_types__unsigned32__first .
C3:    fld_ttlinseconds(fld_inherit(therecord)) <= 
           unsigned_types__unsigned32__last .
C4:    fld_class(fld_inherit(therecord)) >= 
           rr_type__classtype__first .
C5:    fld_class(fld_inherit(therecord)) <= 
           rr_type__classtype__last .
C6:    fld_typecovered(therecord) >= dns_types__query_type__first .
C7:    fld_typecovered(therecord) <= dns_types__query_type__last .
C8:    fld_algorithm(therecord) >= unsigned_types__unsigned8__first .
C9:    fld_algorithm(therecord) <= unsigned_types__unsigned8__last .
C10:   fld_numlabels(therecord) >= unsigned_types__unsigned8__first .
C11:   fld_numlabels(therecord) <= unsigned_types__unsigned8__last .
C12:   fld_origttl(therecord) >= unsigned_types__unsigned32__first .
C13:   fld_origttl(therecord) <= unsigned_types__unsigned32__last .
C14:   fld_sigexpiration(therecord) >= 
           unsigned_types__unsigned32__first .
C15:   fld_sigexpiration(therecord) <= 
           unsigned_types__unsigned32__last .
C16:   fld_siginception(therecord) >= 
           unsigned_types__unsigned32__first .
C17:   fld_siginception(therecord) <= 
           unsigned_types__unsigned32__last .
C18:   fld_keytag(therecord) >= unsigned_types__unsigned16__first .
C19:   fld_keytag(therecord) <= unsigned_types__unsigned16__last .
C20:   for_all(i___1: integer, ((i___1 >= 
           rr_type__domainnamestringtypeindex__first) and (
           i___1 <= rr_type__domainnamestringtypeindex__last)) -> ((element(
           fld_signername(therecord), [i___1]) >= character__first) and (element(
           fld_signername(therecord), [i___1]) <= character__last))) .
C21:   for_all(i___2: integer, ((i___2 >= 
           rr_type__rrsig_record_type__rrsigstringtypeindex__first) and (
           i___2 <= 
           rr_type__rrsig_record_type__rrsigstringtypeindex__last)) -> ((element(
           fld_signature(therecord), [i___2]) >= character__first) and (element(
           fld_signature(therecord), [i___2]) <= character__last))) .
C22:   fld_signaturelength(therecord) >= 
           rr_type__rrsig_record_type__siglengthvaluetype__first .
C23:   fld_signaturelength(therecord) <= 
           rr_type__rrsig_record_type__siglengthvaluetype__last .
C24:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_ttlinseconds(fld_inherit(element(element(update(
           dns_table_type__rrsigrecordtable, [bucket], update(element(
           dns_table_type__rrsigrecordtable, [bucket]), [
           loop__1__i], therecord)), [i___1]), [i___2]))) >= 
           unsigned_types__unsigned32__first) and (fld_ttlinseconds(
           fld_inherit(element(element(update(
           dns_table_type__rrsigrecordtable, [bucket], update(element(
           dns_table_type__rrsigrecordtable, [bucket]), [
           loop__1__i], therecord)), [i___1]), [i___2]))) <= 
           unsigned_types__unsigned32__last))))) .
C25:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_class(fld_inherit(element(element(update(
           dns_table_type__rrsigrecordtable, [bucket], update(element(
           dns_table_type__rrsigrecordtable, [bucket]), [
           loop__1__i], therecord)), [i___1]), [i___2]))) >= 
           rr_type__classtype__first) and (fld_class(fld_inherit(element(element(update(
           dns_table_type__rrsigrecordtable, [bucket], update(element(
           dns_table_type__rrsigrecordtable, [bucket]), [
           loop__1__i], therecord)), [i___1]), [i___2]))) <= 
           rr_type__classtype__last))))) .
C26:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_typecovered(element(element(update(
           dns_table_type__rrsigrecordtable, [bucket], update(element(
           dns_table_type__rrsigrecordtable, [bucket]), [
           loop__1__i], therecord)), [i___1]), [i___2])) >= 
           dns_types__query_type__first) and (fld_typecovered(element(element(update(
           dns_table_type__rrsigrecordtable, [bucket], update(element(
           dns_table_type__rrsigrecordtable, [bucket]), [
           loop__1__i], therecord)), [i___1]), [i___2])) <= 
           dns_types__query_type__last))))) .
C27:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_algorithm(element(element(update(
           dns_table_type__rrsigrecordtable, [bucket], update(element(
           dns_table_type__rrsigrecordtable, [bucket]), [
           loop__1__i], therecord)), [i___1]), [i___2])) >= 
           unsigned_types__unsigned8__first) and (fld_algorithm(element(element(update(
           dns_table_type__rrsigrecordtable, [bucket], update(element(
           dns_table_type__rrsigrecordtable, [bucket]), [
           loop__1__i], therecord)), [i___1]), [i___2])) <= 
           unsigned_types__unsigned8__last))))) .
C28:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_numlabels(element(element(update(
           dns_table_type__rrsigrecordtable, [bucket], update(element(
           dns_table_type__rrsigrecordtable, [bucket]), [
           loop__1__i], therecord)), [i___1]), [i___2])) >= 
           unsigned_types__unsigned8__first) and (fld_numlabels(element(element(update(
           dns_table_type__rrsigrecordtable, [bucket], update(element(
           dns_table_type__rrsigrecordtable, [bucket]), [
           loop__1__i], therecord)), [i___1]), [i___2])) <= 
           unsigned_types__unsigned8__last))))) .
C29:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_origttl(element(element(update(
           dns_table_type__rrsigrecordtable, [bucket], update(element(
           dns_table_type__rrsigrecordtable, [bucket]), [
           loop__1__i], therecord)), [i___1]), [i___2])) >= 
           unsigned_types__unsigned32__first) and (fld_origttl(element(element(update(
           dns_table_type__rrsigrecordtable, [bucket], update(element(
           dns_table_type__rrsigrecordtable, [bucket]), [
           loop__1__i], therecord)), [i___1]), [i___2])) <= 
           unsigned_types__unsigned32__last))))) .
C30:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_sigexpiration(element(element(update(
           dns_table_type__rrsigrecordtable, [bucket], update(element(
           dns_table_type__rrsigrecordtable, [bucket]), [
           loop__1__i], therecord)), [i___1]), [i___2])) >= 
           unsigned_types__unsigned32__first) and (fld_sigexpiration(element(element(update(
           dns_table_type__rrsigrecordtable, [bucket], update(element(
           dns_table_type__rrsigrecordtable, [bucket]), [
           loop__1__i], therecord)), [i___1]), [i___2])) <= 
           unsigned_types__unsigned32__last))))) .
C31:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_siginception(element(element(update(
           dns_table_type__rrsigrecordtable, [bucket], update(element(
           dns_table_type__rrsigrecordtable, [bucket]), [
           loop__1__i], therecord)), [i___1]), [i___2])) >= 
           unsigned_types__unsigned32__first) and (fld_siginception(element(element(update(
           dns_table_type__rrsigrecordtable, [bucket], update(element(
           dns_table_type__rrsigrecordtable, [bucket]), [
           loop__1__i], therecord)), [i___1]), [i___2])) <= 
           unsigned_types__unsigned32__last))))) .
C32:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_keytag(element(element(update(
           dns_table_type__rrsigrecordtable, [bucket], update(element(
           dns_table_type__rrsigrecordtable, [bucket]), [
           loop__1__i], therecord)), [i___1]), [i___2])) >= 
           unsigned_types__unsigned16__first) and (fld_keytag(element(element(update(
           dns_table_type__rrsigrecordtable, [bucket], update(element(
           dns_table_type__rrsigrecordtable, [bucket]), [
           loop__1__i], therecord)), [i___1]), [i___2])) <= 
           unsigned_types__unsigned16__last))))) .
C33:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> (for_all(
           i___3: integer, ((i___3 >= 
           rr_type__domainnamestringtypeindex__first) and (
           i___3 <= rr_type__domainnamestringtypeindex__last)) -> ((element(
           fld_signername(element(element(update(
           dns_table_type__rrsigrecordtable, [bucket], update(element(
           dns_table_type__rrsigrecordtable, [bucket]), [
           loop__1__i], therecord)), [i___1]), [i___2])), [
           i___3]) >= character__first) and (element(fld_signername(element(element(update(
           dns_table_type__rrsigrecordtable, [bucket], update(element(
           dns_table_type__rrsigrecordtable, [bucket]), [
           loop__1__i], therecord)), [i___1]), [i___2])), [
           i___3]) <= character__last))))))) .
C34:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> (for_all(
           i___4: integer, ((i___4 >= 
           rr_type__rrsig_record_type__rrsigstringtypeindex__first) and (
           i___4 <= 
           rr_type__rrsig_record_type__rrsigstringtypeindex__last)) -> ((element(
           fld_signature(element(element(update(
           dns_table_type__rrsigrecordtable, [bucket], update(element(
           dns_table_type__rrsigrecordtable, [bucket]), [
           loop__1__i], therecord)), [i___1]), [i___2])), [
           i___4]) >= character__first) and (element(fld_signature(element(element(update(
           dns_table_type__rrsigrecordtable, [bucket], update(element(
           dns_table_type__rrsigrecordtable, [bucket]), [
           loop__1__i], therecord)), [i___1]), [i___2])), [
           i___4]) <= character__last))))))) .
C35:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_signaturelength(element(element(update(
           dns_table_type__rrsigrecordtable, [bucket], update(element(
           dns_table_type__rrsigrecordtable, [bucket]), [
           loop__1__i], therecord)), [i___1]), [i___2])) >= 
           rr_type__rrsig_record_type__siglengthvaluetype__first) and (
           fld_signaturelength(element(element(update(
           dns_table_type__rrsigrecordtable, [bucket], update(element(
           dns_table_type__rrsigrecordtable, [bucket]), [
           loop__1__i], therecord)), [i___1]), [i___2])) <= 
           rr_type__rrsig_record_type__siglengthvaluetype__last))))) .
C36:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> (for_all(
           i___3: integer, ((i___3 >= 
           rr_type__wirestringtypeindex__first) and (i___3 <= 
           rr_type__wirestringtypeindex__last)) -> ((element(element(element(update(
           dns_table_type__rrsigrecordkeys, [bucket], update(element(
           dns_table_type__rrsigrecordkeys, [bucket]), [
           loop__1__i], lower_key)), [i___1]), [i___2]), [
           i___3]) >= character__first) and (element(element(element(update(
           dns_table_type__rrsigrecordkeys, [bucket], update(element(
           dns_table_type__rrsigrecordkeys, [bucket]), [
           loop__1__i], lower_key)), [i___1]), [i___2]), [
           i___3]) <= character__last))))))) .
C37:   loop__1__i + 1 >= rr_type__returnedrecordsindextype__first .
C38:   loop__1__i + 1 <= rr_type__returnedrecordsindextype__last .
C39:   loop__1__i + 1 >= rr_type__returnedrecordsindextype__first .
C40:   loop__1__i + 1 <= rr_type__returnedrecordsindextype__last .
 

procedure_insertrrsigrecord_4.
H1:    for_all(i___1: integer, ((i___1 >= 
           rr_type__wirestringtypeindex__first) and (i___1 <= 
           rr_type__wirestringtypeindex__last)) -> ((element(
           key, [i___1]) >= character__first) and (element(
           key, [i___1]) <= character__last))) .
H2:    fld_ttlinseconds(fld_inherit(therecord)) >= 
           unsigned_types__unsigned32__first .
H3:    fld_ttlinseconds(fld_inherit(therecord)) <= 
           unsigned_types__unsigned32__last .
H4:    fld_class(fld_inherit(therecord)) >= 
           rr_type__classtype__first .
H5:    fld_class(fld_inherit(therecord)) <= 
           rr_type__classtype__last .
H6:    fld_typecovered(therecord) >= dns_types__query_type__first .
H7:    fld_typecovered(therecord) <= dns_types__query_type__last .
H8:    fld_algorithm(therecord) >= unsigned_types__unsigned8__first .
H9:    fld_algorithm(therecord) <= unsigned_types__unsigned8__last .
H10:   fld_numlabels(therecord) >= unsigned_types__unsigned8__first .
H11:   fld_numlabels(therecord) <= unsigned_types__unsigned8__last .
H12:   fld_origttl(therecord) >= unsigned_types__unsigned32__first .
H13:   fld_origttl(therecord) <= unsigned_types__unsigned32__last .
H14:   fld_sigexpiration(therecord) >= 
           unsigned_types__unsigned32__first .
H15:   fld_sigexpiration(therecord) <= 
           unsigned_types__unsigned32__last .
H16:   fld_siginception(therecord) >= 
           unsigned_types__unsigned32__first .
H17:   fld_siginception(therecord) <= 
           unsigned_types__unsigned32__last .
H18:   fld_keytag(therecord) >= unsigned_types__unsigned16__first .
H19:   fld_keytag(therecord) <= unsigned_types__unsigned16__last .
H20:   for_all(i___1: integer, ((i___1 >= 
           rr_type__domainnamestringtypeindex__first) and (
           i___1 <= rr_type__domainnamestringtypeindex__last)) -> ((element(
           fld_signername(therecord), [i___1]) >= character__first) and (element(
           fld_signername(therecord), [i___1]) <= character__last))) .
H21:   for_all(i___2: integer, ((i___2 >= 
           rr_type__rrsig_record_type__rrsigstringtypeindex__first) and (
           i___2 <= 
           rr_type__rrsig_record_type__rrsigstringtypeindex__last)) -> ((element(
           fld_signature(therecord), [i___2]) >= character__first) and (element(
           fld_signature(therecord), [i___2]) <= character__last))) .
H22:   fld_signaturelength(therecord) >= 
           rr_type__rrsig_record_type__siglengthvaluetype__first .
H23:   fld_signaturelength(therecord) <= 
           rr_type__rrsig_record_type__siglengthvaluetype__last .
H24:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_ttlinseconds(fld_inherit(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2]))) >= unsigned_types__unsigned32__first) and (
           fld_ttlinseconds(fld_inherit(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2]))) <= unsigned_types__unsigned32__last))))) .
H25:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_class(fld_inherit(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2]))) >= rr_type__classtype__first) and (fld_class(
           fld_inherit(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2]))) <= rr_type__classtype__last))))) .
H26:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_typecovered(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= dns_types__query_type__first) and (
           fld_typecovered(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= dns_types__query_type__last))))) .
H27:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_algorithm(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= unsigned_types__unsigned8__first) and (
           fld_algorithm(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= unsigned_types__unsigned8__last))))) .
H28:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_numlabels(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= unsigned_types__unsigned8__first) and (
           fld_numlabels(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= unsigned_types__unsigned8__last))))) .
H29:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_origttl(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= unsigned_types__unsigned32__first) and (
           fld_origttl(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= unsigned_types__unsigned32__last))))) .
H30:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_sigexpiration(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= unsigned_types__unsigned32__first) and (
           fld_sigexpiration(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= unsigned_types__unsigned32__last))))) .
H31:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_siginception(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= unsigned_types__unsigned32__first) and (
           fld_siginception(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= unsigned_types__unsigned32__last))))) .
H32:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_keytag(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= unsigned_types__unsigned16__first) and (
           fld_keytag(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= unsigned_types__unsigned16__last))))) .
H33:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> (for_all(
           i___3: integer, ((i___3 >= 
           rr_type__domainnamestringtypeindex__first) and (
           i___3 <= rr_type__domainnamestringtypeindex__last)) -> ((element(
           fld_signername(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])), [i___3]) >= character__first) and (element(
           fld_signername(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])), [i___3]) <= character__last))))))) .
H34:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> (for_all(
           i___4: integer, ((i___4 >= 
           rr_type__rrsig_record_type__rrsigstringtypeindex__first) and (
           i___4 <= 
           rr_type__rrsig_record_type__rrsigstringtypeindex__last)) -> ((element(
           fld_signature(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])), [i___4]) >= character__first) and (element(
           fld_signature(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])), [i___4]) <= character__last))))))) .
H35:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_signaturelength(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= 
           rr_type__rrsig_record_type__siglengthvaluetype__first) and (
           fld_signaturelength(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= 
           rr_type__rrsig_record_type__siglengthvaluetype__last))))) .
H36:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> (for_all(
           i___3: integer, ((i___3 >= 
           rr_type__wirestringtypeindex__first) and (i___3 <= 
           rr_type__wirestringtypeindex__last)) -> ((element(element(element(
           dns_table_type__rrsigrecordkeys, [i___1]), [
           i___2]), [i___3]) >= character__first) and (element(element(element(
           dns_table_type__rrsigrecordkeys, [i___1]), [
           i___2]), [i___3]) <= character__last))))))) .
H37:   loop__1__i >= rr_type__returnedrecordsindextype__first .
H38:   loop__1__i <= rr_type__returnedrecordsindextype__last .
H39:   loop__1__i >= rr_type__returnedrecordsindextype__first .
H40:   loop__1__i <= rr_type__returnedrecordsindextype__last .
H41:   bucket >= rr_type__numbucketsindextype__first .
H42:   bucket <= rr_type__numbucketsindextype__last .
H43:   loop__1__i >= rr_type__returnedrecordsindextype__first .
H44:   loop__1__i <= rr_type__returnedrecordsindextype__last .
H45:   bucket >= rr_type__numbucketsindextype__first .
H46:   bucket <= rr_type__numbucketsindextype__last .
H47:   not (element(element(dns_table_type__rrsigrecordkeys, [
           bucket]), [loop__1__i]) = rr_type__blankowner) .
H48:   true .
H49:   not success .
H50:   not (loop__1__i = rr_type__returnedrecordsindextype__last) .
        ->
C1:    for_all(i___1: integer, ((i___1 >= 
           rr_type__wirestringtypeindex__first) and (i___1 <= 
           rr_type__wirestringtypeindex__last)) -> ((element(
           key, [i___1]) >= character__first) and (element(
           key, [i___1]) <= character__last))) .
C2:    fld_ttlinseconds(fld_inherit(therecord)) >= 
           unsigned_types__unsigned32__first .
C3:    fld_ttlinseconds(fld_inherit(therecord)) <= 
           unsigned_types__unsigned32__last .
C4:    fld_class(fld_inherit(therecord)) >= 
           rr_type__classtype__first .
C5:    fld_class(fld_inherit(therecord)) <= 
           rr_type__classtype__last .
C6:    fld_typecovered(therecord) >= dns_types__query_type__first .
C7:    fld_typecovered(therecord) <= dns_types__query_type__last .
C8:    fld_algorithm(therecord) >= unsigned_types__unsigned8__first .
C9:    fld_algorithm(therecord) <= unsigned_types__unsigned8__last .
C10:   fld_numlabels(therecord) >= unsigned_types__unsigned8__first .
C11:   fld_numlabels(therecord) <= unsigned_types__unsigned8__last .
C12:   fld_origttl(therecord) >= unsigned_types__unsigned32__first .
C13:   fld_origttl(therecord) <= unsigned_types__unsigned32__last .
C14:   fld_sigexpiration(therecord) >= 
           unsigned_types__unsigned32__first .
C15:   fld_sigexpiration(therecord) <= 
           unsigned_types__unsigned32__last .
C16:   fld_siginception(therecord) >= 
           unsigned_types__unsigned32__first .
C17:   fld_siginception(therecord) <= 
           unsigned_types__unsigned32__last .
C18:   fld_keytag(therecord) >= unsigned_types__unsigned16__first .
C19:   fld_keytag(therecord) <= unsigned_types__unsigned16__last .
C20:   for_all(i___1: integer, ((i___1 >= 
           rr_type__domainnamestringtypeindex__first) and (
           i___1 <= rr_type__domainnamestringtypeindex__last)) -> ((element(
           fld_signername(therecord), [i___1]) >= character__first) and (element(
           fld_signername(therecord), [i___1]) <= character__last))) .
C21:   for_all(i___2: integer, ((i___2 >= 
           rr_type__rrsig_record_type__rrsigstringtypeindex__first) and (
           i___2 <= 
           rr_type__rrsig_record_type__rrsigstringtypeindex__last)) -> ((element(
           fld_signature(therecord), [i___2]) >= character__first) and (element(
           fld_signature(therecord), [i___2]) <= character__last))) .
C22:   fld_signaturelength(therecord) >= 
           rr_type__rrsig_record_type__siglengthvaluetype__first .
C23:   fld_signaturelength(therecord) <= 
           rr_type__rrsig_record_type__siglengthvaluetype__last .
C24:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_ttlinseconds(fld_inherit(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2]))) >= unsigned_types__unsigned32__first) and (
           fld_ttlinseconds(fld_inherit(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2]))) <= unsigned_types__unsigned32__last))))) .
C25:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_class(fld_inherit(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2]))) >= rr_type__classtype__first) and (fld_class(
           fld_inherit(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2]))) <= rr_type__classtype__last))))) .
C26:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_typecovered(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= dns_types__query_type__first) and (
           fld_typecovered(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= dns_types__query_type__last))))) .
C27:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_algorithm(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= unsigned_types__unsigned8__first) and (
           fld_algorithm(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= unsigned_types__unsigned8__last))))) .
C28:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_numlabels(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= unsigned_types__unsigned8__first) and (
           fld_numlabels(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= unsigned_types__unsigned8__last))))) .
C29:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_origttl(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= unsigned_types__unsigned32__first) and (
           fld_origttl(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= unsigned_types__unsigned32__last))))) .
C30:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_sigexpiration(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= unsigned_types__unsigned32__first) and (
           fld_sigexpiration(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= unsigned_types__unsigned32__last))))) .
C31:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_siginception(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= unsigned_types__unsigned32__first) and (
           fld_siginception(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= unsigned_types__unsigned32__last))))) .
C32:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_keytag(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= unsigned_types__unsigned16__first) and (
           fld_keytag(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= unsigned_types__unsigned16__last))))) .
C33:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> (for_all(
           i___3: integer, ((i___3 >= 
           rr_type__domainnamestringtypeindex__first) and (
           i___3 <= rr_type__domainnamestringtypeindex__last)) -> ((element(
           fld_signername(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])), [i___3]) >= character__first) and (element(
           fld_signername(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])), [i___3]) <= character__last))))))) .
C34:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> (for_all(
           i___4: integer, ((i___4 >= 
           rr_type__rrsig_record_type__rrsigstringtypeindex__first) and (
           i___4 <= 
           rr_type__rrsig_record_type__rrsigstringtypeindex__last)) -> ((element(
           fld_signature(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])), [i___4]) >= character__first) and (element(
           fld_signature(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])), [i___4]) <= character__last))))))) .
C35:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_signaturelength(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= 
           rr_type__rrsig_record_type__siglengthvaluetype__first) and (
           fld_signaturelength(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= 
           rr_type__rrsig_record_type__siglengthvaluetype__last))))) .
C36:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> (for_all(
           i___3: integer, ((i___3 >= 
           rr_type__wirestringtypeindex__first) and (i___3 <= 
           rr_type__wirestringtypeindex__last)) -> ((element(element(element(
           dns_table_type__rrsigrecordkeys, [i___1]), [
           i___2]), [i___3]) >= character__first) and (element(element(element(
           dns_table_type__rrsigrecordkeys, [i___1]), [
           i___2]), [i___3]) <= character__last))))))) .
C37:   loop__1__i + 1 >= rr_type__returnedrecordsindextype__first .
C38:   loop__1__i + 1 <= rr_type__returnedrecordsindextype__last .
C39:   loop__1__i + 1 >= rr_type__returnedrecordsindextype__first .
C40:   loop__1__i + 1 <= rr_type__returnedrecordsindextype__last .
 

For path(s) from assertion of line 629 to run-time check associated with statement of line 630:

procedure_insertrrsigrecord_5.
H1:    for_all(i___1: integer, ((i___1 >= 
           rr_type__wirestringtypeindex__first) and (i___1 <= 
           rr_type__wirestringtypeindex__last)) -> ((element(
           key, [i___1]) >= character__first) and (element(
           key, [i___1]) <= character__last))) .
H2:    fld_ttlinseconds(fld_inherit(therecord)) >= 
           unsigned_types__unsigned32__first .
H3:    fld_ttlinseconds(fld_inherit(therecord)) <= 
           unsigned_types__unsigned32__last .
H4:    fld_class(fld_inherit(therecord)) >= 
           rr_type__classtype__first .
H5:    fld_class(fld_inherit(therecord)) <= 
           rr_type__classtype__last .
H6:    fld_typecovered(therecord) >= dns_types__query_type__first .
H7:    fld_typecovered(therecord) <= dns_types__query_type__last .
H8:    fld_algorithm(therecord) >= unsigned_types__unsigned8__first .
H9:    fld_algorithm(therecord) <= unsigned_types__unsigned8__last .
H10:   fld_numlabels(therecord) >= unsigned_types__unsigned8__first .
H11:   fld_numlabels(therecord) <= unsigned_types__unsigned8__last .
H12:   fld_origttl(therecord) >= unsigned_types__unsigned32__first .
H13:   fld_origttl(therecord) <= unsigned_types__unsigned32__last .
H14:   fld_sigexpiration(therecord) >= 
           unsigned_types__unsigned32__first .
H15:   fld_sigexpiration(therecord) <= 
           unsigned_types__unsigned32__last .
H16:   fld_siginception(therecord) >= 
           unsigned_types__unsigned32__first .
H17:   fld_siginception(therecord) <= 
           unsigned_types__unsigned32__last .
H18:   fld_keytag(therecord) >= unsigned_types__unsigned16__first .
H19:   fld_keytag(therecord) <= unsigned_types__unsigned16__last .
H20:   for_all(i___1: integer, ((i___1 >= 
           rr_type__domainnamestringtypeindex__first) and (
           i___1 <= rr_type__domainnamestringtypeindex__last)) -> ((element(
           fld_signername(therecord), [i___1]) >= character__first) and (element(
           fld_signername(therecord), [i___1]) <= character__last))) .
H21:   for_all(i___2: integer, ((i___2 >= 
           rr_type__rrsig_record_type__rrsigstringtypeindex__first) and (
           i___2 <= 
           rr_type__rrsig_record_type__rrsigstringtypeindex__last)) -> ((element(
           fld_signature(therecord), [i___2]) >= character__first) and (element(
           fld_signature(therecord), [i___2]) <= character__last))) .
H22:   fld_signaturelength(therecord) >= 
           rr_type__rrsig_record_type__siglengthvaluetype__first .
H23:   fld_signaturelength(therecord) <= 
           rr_type__rrsig_record_type__siglengthvaluetype__last .
H24:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_ttlinseconds(fld_inherit(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2]))) >= unsigned_types__unsigned32__first) and (
           fld_ttlinseconds(fld_inherit(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2]))) <= unsigned_types__unsigned32__last))))) .
H25:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_class(fld_inherit(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2]))) >= rr_type__classtype__first) and (fld_class(
           fld_inherit(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2]))) <= rr_type__classtype__last))))) .
H26:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_typecovered(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= dns_types__query_type__first) and (
           fld_typecovered(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= dns_types__query_type__last))))) .
H27:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_algorithm(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= unsigned_types__unsigned8__first) and (
           fld_algorithm(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= unsigned_types__unsigned8__last))))) .
H28:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_numlabels(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= unsigned_types__unsigned8__first) and (
           fld_numlabels(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= unsigned_types__unsigned8__last))))) .
H29:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_origttl(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= unsigned_types__unsigned32__first) and (
           fld_origttl(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= unsigned_types__unsigned32__last))))) .
H30:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_sigexpiration(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= unsigned_types__unsigned32__first) and (
           fld_sigexpiration(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= unsigned_types__unsigned32__last))))) .
H31:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_siginception(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= unsigned_types__unsigned32__first) and (
           fld_siginception(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= unsigned_types__unsigned32__last))))) .
H32:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_keytag(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= unsigned_types__unsigned16__first) and (
           fld_keytag(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= unsigned_types__unsigned16__last))))) .
H33:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> (for_all(
           i___3: integer, ((i___3 >= 
           rr_type__domainnamestringtypeindex__first) and (
           i___3 <= rr_type__domainnamestringtypeindex__last)) -> ((element(
           fld_signername(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])), [i___3]) >= character__first) and (element(
           fld_signername(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])), [i___3]) <= character__last))))))) .
H34:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> (for_all(
           i___4: integer, ((i___4 >= 
           rr_type__rrsig_record_type__rrsigstringtypeindex__first) and (
           i___4 <= 
           rr_type__rrsig_record_type__rrsigstringtypeindex__last)) -> ((element(
           fld_signature(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])), [i___4]) >= character__first) and (element(
           fld_signature(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])), [i___4]) <= character__last))))))) .
H35:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_signaturelength(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= 
           rr_type__rrsig_record_type__siglengthvaluetype__first) and (
           fld_signaturelength(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= 
           rr_type__rrsig_record_type__siglengthvaluetype__last))))) .
H36:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> (for_all(
           i___3: integer, ((i___3 >= 
           rr_type__wirestringtypeindex__first) and (i___3 <= 
           rr_type__wirestringtypeindex__last)) -> ((element(element(element(
           dns_table_type__rrsigrecordkeys, [i___1]), [
           i___2]), [i___3]) >= character__first) and (element(element(element(
           dns_table_type__rrsigrecordkeys, [i___1]), [
           i___2]), [i___3]) <= character__last))))))) .
H37:   loop__1__i >= rr_type__returnedrecordsindextype__first .
H38:   loop__1__i <= rr_type__returnedrecordsindextype__last .
H39:   loop__1__i >= rr_type__returnedrecordsindextype__first .
H40:   loop__1__i <= rr_type__returnedrecordsindextype__last .
H41:   bucket >= rr_type__numbucketsindextype__first .
H42:   bucket <= rr_type__numbucketsindextype__last .
        ->
C1:    loop__1__i >= rr_type__returnedrecordsindextype__first .
C2:    loop__1__i <= rr_type__returnedrecordsindextype__last .
C3:    bucket >= rr_type__numbucketsindextype__first .
C4:    bucket <= rr_type__numbucketsindextype__last .
 

For path(s) from assertion of line 629 to run-time check associated with statement of line 631:

procedure_insertrrsigrecord_6.
H1:    for_all(i___1: integer, ((i___1 >= 
           rr_type__wirestringtypeindex__first) and (i___1 <= 
           rr_type__wirestringtypeindex__last)) -> ((element(
           key, [i___1]) >= character__first) and (element(
           key, [i___1]) <= character__last))) .
H2:    fld_ttlinseconds(fld_inherit(therecord)) >= 
           unsigned_types__unsigned32__first .
H3:    fld_ttlinseconds(fld_inherit(therecord)) <= 
           unsigned_types__unsigned32__last .
H4:    fld_class(fld_inherit(therecord)) >= 
           rr_type__classtype__first .
H5:    fld_class(fld_inherit(therecord)) <= 
           rr_type__classtype__last .
H6:    fld_typecovered(therecord) >= dns_types__query_type__first .
H7:    fld_typecovered(therecord) <= dns_types__query_type__last .
H8:    fld_algorithm(therecord) >= unsigned_types__unsigned8__first .
H9:    fld_algorithm(therecord) <= unsigned_types__unsigned8__last .
H10:   fld_numlabels(therecord) >= unsigned_types__unsigned8__first .
H11:   fld_numlabels(therecord) <= unsigned_types__unsigned8__last .
H12:   fld_origttl(therecord) >= unsigned_types__unsigned32__first .
H13:   fld_origttl(therecord) <= unsigned_types__unsigned32__last .
H14:   fld_sigexpiration(therecord) >= 
           unsigned_types__unsigned32__first .
H15:   fld_sigexpiration(therecord) <= 
           unsigned_types__unsigned32__last .
H16:   fld_siginception(therecord) >= 
           unsigned_types__unsigned32__first .
H17:   fld_siginception(therecord) <= 
           unsigned_types__unsigned32__last .
H18:   fld_keytag(therecord) >= unsigned_types__unsigned16__first .
H19:   fld_keytag(therecord) <= unsigned_types__unsigned16__last .
H20:   for_all(i___1: integer, ((i___1 >= 
           rr_type__domainnamestringtypeindex__first) and (
           i___1 <= rr_type__domainnamestringtypeindex__last)) -> ((element(
           fld_signername(therecord), [i___1]) >= character__first) and (element(
           fld_signername(therecord), [i___1]) <= character__last))) .
H21:   for_all(i___2: integer, ((i___2 >= 
           rr_type__rrsig_record_type__rrsigstringtypeindex__first) and (
           i___2 <= 
           rr_type__rrsig_record_type__rrsigstringtypeindex__last)) -> ((element(
           fld_signature(therecord), [i___2]) >= character__first) and (element(
           fld_signature(therecord), [i___2]) <= character__last))) .
H22:   fld_signaturelength(therecord) >= 
           rr_type__rrsig_record_type__siglengthvaluetype__first .
H23:   fld_signaturelength(therecord) <= 
           rr_type__rrsig_record_type__siglengthvaluetype__last .
H24:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_ttlinseconds(fld_inherit(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2]))) >= unsigned_types__unsigned32__first) and (
           fld_ttlinseconds(fld_inherit(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2]))) <= unsigned_types__unsigned32__last))))) .
H25:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_class(fld_inherit(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2]))) >= rr_type__classtype__first) and (fld_class(
           fld_inherit(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2]))) <= rr_type__classtype__last))))) .
H26:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_typecovered(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= dns_types__query_type__first) and (
           fld_typecovered(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= dns_types__query_type__last))))) .
H27:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_algorithm(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= unsigned_types__unsigned8__first) and (
           fld_algorithm(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= unsigned_types__unsigned8__last))))) .
H28:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_numlabels(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= unsigned_types__unsigned8__first) and (
           fld_numlabels(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= unsigned_types__unsigned8__last))))) .
H29:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_origttl(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= unsigned_types__unsigned32__first) and (
           fld_origttl(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= unsigned_types__unsigned32__last))))) .
H30:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_sigexpiration(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= unsigned_types__unsigned32__first) and (
           fld_sigexpiration(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= unsigned_types__unsigned32__last))))) .
H31:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_siginception(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= unsigned_types__unsigned32__first) and (
           fld_siginception(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= unsigned_types__unsigned32__last))))) .
H32:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_keytag(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= unsigned_types__unsigned16__first) and (
           fld_keytag(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= unsigned_types__unsigned16__last))))) .
H33:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> (for_all(
           i___3: integer, ((i___3 >= 
           rr_type__domainnamestringtypeindex__first) and (
           i___3 <= rr_type__domainnamestringtypeindex__last)) -> ((element(
           fld_signername(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])), [i___3]) >= character__first) and (element(
           fld_signername(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])), [i___3]) <= character__last))))))) .
H34:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> (for_all(
           i___4: integer, ((i___4 >= 
           rr_type__rrsig_record_type__rrsigstringtypeindex__first) and (
           i___4 <= 
           rr_type__rrsig_record_type__rrsigstringtypeindex__last)) -> ((element(
           fld_signature(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])), [i___4]) >= character__first) and (element(
           fld_signature(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])), [i___4]) <= character__last))))))) .
H35:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_signaturelength(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= 
           rr_type__rrsig_record_type__siglengthvaluetype__first) and (
           fld_signaturelength(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= 
           rr_type__rrsig_record_type__siglengthvaluetype__last))))) .
H36:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> (for_all(
           i___3: integer, ((i___3 >= 
           rr_type__wirestringtypeindex__first) and (i___3 <= 
           rr_type__wirestringtypeindex__last)) -> ((element(element(element(
           dns_table_type__rrsigrecordkeys, [i___1]), [
           i___2]), [i___3]) >= character__first) and (element(element(element(
           dns_table_type__rrsigrecordkeys, [i___1]), [
           i___2]), [i___3]) <= character__last))))))) .
H37:   loop__1__i >= rr_type__returnedrecordsindextype__first .
H38:   loop__1__i <= rr_type__returnedrecordsindextype__last .
H39:   loop__1__i >= rr_type__returnedrecordsindextype__first .
H40:   loop__1__i <= rr_type__returnedrecordsindextype__last .
H41:   bucket >= rr_type__numbucketsindextype__first .
H42:   bucket <= rr_type__numbucketsindextype__last .
H43:   loop__1__i >= rr_type__returnedrecordsindextype__first .
H44:   loop__1__i <= rr_type__returnedrecordsindextype__last .
H45:   bucket >= rr_type__numbucketsindextype__first .
H46:   bucket <= rr_type__numbucketsindextype__last .
H47:   element(element(dns_table_type__rrsigrecordkeys, [
           bucket]), [loop__1__i]) = rr_type__blankowner .
H48:   for_all(i___1: integer, ((i___1 >= 
           rr_type__wirestringtypeindex__first) and (i___1 <= 
           rr_type__wirestringtypeindex__last)) -> ((element(
           lower_key, [i___1]) >= character__first) and (element(
           lower_key, [i___1]) <= character__last))) .
        ->
C1:    loop__1__i >= rr_type__returnedrecordsindextype__first .
C2:    loop__1__i <= rr_type__returnedrecordsindextype__last .
C3:    bucket >= rr_type__numbucketsindextype__first .
C4:    bucket <= rr_type__numbucketsindextype__last .
 

For path(s) from assertion of line 629 to run-time check associated with statement of line 632:

procedure_insertrrsigrecord_7.
H1:    for_all(i___1: integer, ((i___1 >= 
           rr_type__wirestringtypeindex__first) and (i___1 <= 
           rr_type__wirestringtypeindex__last)) -> ((element(
           key, [i___1]) >= character__first) and (element(
           key, [i___1]) <= character__last))) .
H2:    fld_ttlinseconds(fld_inherit(therecord)) >= 
           unsigned_types__unsigned32__first .
H3:    fld_ttlinseconds(fld_inherit(therecord)) <= 
           unsigned_types__unsigned32__last .
H4:    fld_class(fld_inherit(therecord)) >= 
           rr_type__classtype__first .
H5:    fld_class(fld_inherit(therecord)) <= 
           rr_type__classtype__last .
H6:    fld_typecovered(therecord) >= dns_types__query_type__first .
H7:    fld_typecovered(therecord) <= dns_types__query_type__last .
H8:    fld_algorithm(therecord) >= unsigned_types__unsigned8__first .
H9:    fld_algorithm(therecord) <= unsigned_types__unsigned8__last .
H10:   fld_numlabels(therecord) >= unsigned_types__unsigned8__first .
H11:   fld_numlabels(therecord) <= unsigned_types__unsigned8__last .
H12:   fld_origttl(therecord) >= unsigned_types__unsigned32__first .
H13:   fld_origttl(therecord) <= unsigned_types__unsigned32__last .
H14:   fld_sigexpiration(therecord) >= 
           unsigned_types__unsigned32__first .
H15:   fld_sigexpiration(therecord) <= 
           unsigned_types__unsigned32__last .
H16:   fld_siginception(therecord) >= 
           unsigned_types__unsigned32__first .
H17:   fld_siginception(therecord) <= 
           unsigned_types__unsigned32__last .
H18:   fld_keytag(therecord) >= unsigned_types__unsigned16__first .
H19:   fld_keytag(therecord) <= unsigned_types__unsigned16__last .
H20:   for_all(i___1: integer, ((i___1 >= 
           rr_type__domainnamestringtypeindex__first) and (
           i___1 <= rr_type__domainnamestringtypeindex__last)) -> ((element(
           fld_signername(therecord), [i___1]) >= character__first) and (element(
           fld_signername(therecord), [i___1]) <= character__last))) .
H21:   for_all(i___2: integer, ((i___2 >= 
           rr_type__rrsig_record_type__rrsigstringtypeindex__first) and (
           i___2 <= 
           rr_type__rrsig_record_type__rrsigstringtypeindex__last)) -> ((element(
           fld_signature(therecord), [i___2]) >= character__first) and (element(
           fld_signature(therecord), [i___2]) <= character__last))) .
H22:   fld_signaturelength(therecord) >= 
           rr_type__rrsig_record_type__siglengthvaluetype__first .
H23:   fld_signaturelength(therecord) <= 
           rr_type__rrsig_record_type__siglengthvaluetype__last .
H24:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_ttlinseconds(fld_inherit(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2]))) >= unsigned_types__unsigned32__first) and (
           fld_ttlinseconds(fld_inherit(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2]))) <= unsigned_types__unsigned32__last))))) .
H25:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_class(fld_inherit(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2]))) >= rr_type__classtype__first) and (fld_class(
           fld_inherit(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2]))) <= rr_type__classtype__last))))) .
H26:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_typecovered(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= dns_types__query_type__first) and (
           fld_typecovered(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= dns_types__query_type__last))))) .
H27:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_algorithm(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= unsigned_types__unsigned8__first) and (
           fld_algorithm(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= unsigned_types__unsigned8__last))))) .
H28:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_numlabels(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= unsigned_types__unsigned8__first) and (
           fld_numlabels(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= unsigned_types__unsigned8__last))))) .
H29:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_origttl(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= unsigned_types__unsigned32__first) and (
           fld_origttl(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= unsigned_types__unsigned32__last))))) .
H30:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_sigexpiration(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= unsigned_types__unsigned32__first) and (
           fld_sigexpiration(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= unsigned_types__unsigned32__last))))) .
H31:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_siginception(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= unsigned_types__unsigned32__first) and (
           fld_siginception(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= unsigned_types__unsigned32__last))))) .
H32:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_keytag(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= unsigned_types__unsigned16__first) and (
           fld_keytag(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= unsigned_types__unsigned16__last))))) .
H33:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> (for_all(
           i___3: integer, ((i___3 >= 
           rr_type__domainnamestringtypeindex__first) and (
           i___3 <= rr_type__domainnamestringtypeindex__last)) -> ((element(
           fld_signername(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])), [i___3]) >= character__first) and (element(
           fld_signername(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])), [i___3]) <= character__last))))))) .
H34:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> (for_all(
           i___4: integer, ((i___4 >= 
           rr_type__rrsig_record_type__rrsigstringtypeindex__first) and (
           i___4 <= 
           rr_type__rrsig_record_type__rrsigstringtypeindex__last)) -> ((element(
           fld_signature(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])), [i___4]) >= character__first) and (element(
           fld_signature(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])), [i___4]) <= character__last))))))) .
H35:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> ((
           fld_signaturelength(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) >= 
           rr_type__rrsig_record_type__siglengthvaluetype__first) and (
           fld_signaturelength(element(element(
           dns_table_type__rrsigrecordtable, [i___1]), [
           i___2])) <= 
           rr_type__rrsig_record_type__siglengthvaluetype__last))))) .
H36:   for_all(i___1: integer, ((i___1 >= 
           rr_type__numbucketsindextype__first) and (i___1 <= 
           rr_type__numbucketsindextype__last)) -> (for_all(
           i___2: integer, ((i___2 >= 
           rr_type__returnedrecordsindextype__first) and (
           i___2 <= rr_type__returnedrecordsindextype__last)) -> (for_all(
           i___3: integer, ((i___3 >= 
           rr_type__wirestringtypeindex__first) and (i___3 <= 
           rr_type__wirestringtypeindex__last)) -> ((element(element(element(
           dns_table_type__rrsigrecordkeys, [i___1]), [
           i___2]), [i___3]) >= character__first) and (element(element(element(
           dns_table_type__rrsigrecordkeys, [i___1]), [
           i___2]), [i___3]) <= character__last))))))) .
H37:   loop__1__i >= rr_type__returnedrecordsindextype__first .
H38:   loop__1__i <= rr_type__returnedrecordsindextype__last .
H39:   loop__1__i >= rr_type__returnedrecordsindextype__first .
H40:   loop__1__i <= rr_type__returnedrecordsindextype__last .
H41:   bucket >= rr_type__numbucketsindextype__first .
H42:   bucket <= rr_type__numbucketsindextype__last .
H43:   loop__1__i >= rr_type__returnedrecordsindextype__first .
H44:   loop__1__i <= rr_type__returnedrecordsindextype__last .
H45:   bucket >= rr_type__numbucketsindextype__first .
H46:   bucket <= rr_type__numbucketsindextype__last .
H47:   element(element(dns_table_type__rrsigrecordkeys, [
           bucket]), [loop__1__i]) = rr_type__blankowner .
H48:   for_all(i___1: integer, ((i___1 >= 
           rr_type__wirestringtypeindex__first) and (i___1 <= 
           rr_type__wirestringtypeindex__last)) -> ((element(
           lower_key, [i___1]) >= character__first) and (element(
           lower_key, [i___1]) <= character__last))) .
H49:   loop__1__i >= rr_type__returnedrecordsindextype__first .
H50:   loop__1__i <= rr_type__returnedrecordsindextype__last .
H51:   bucket >= rr_type__numbucketsindextype__first .
H52:   bucket <= rr_type__numbucketsindextype__last .
        ->
C1:    loop__1__i >= rr_type__returnedrecordsindextype__first .
C2:    loop__1__i <= rr_type__returnedrecordsindextype__last .
C3:    bucket >= rr_type__numbucketsindextype__first .
C4:    bucket <= rr_type__numbucketsindextype__last .
 

For path(s) from assertion of line 629 to finish:

procedure_insertrrsigrecord_8.
*** true .          /* trivially true VC removed by Examiner */


procedure_insertrrsigrecord_9.
*** true .          /* trivially true VC removed by Examiner */


procedure_insertrrsigrecord_10.
*** true .          /* trivially true VC removed by Examiner */


procedure_insertrrsigrecord_11.
*** true .          /* trivially true VC removed by Examiner */


For checks of refinement integrity: 

procedure_insertrrsigrecord_12.
*** true .          /* trivially true VC removed by Examiner */


procedure_insertrrsigrecord_13.
*** true .          /* trivially true VC removed by Examiner */


