TPTP Problem File: SWC496_1.p

View Solutions - Solve Problem

%------------------------------------------------------------------------------
% File     : SWC496_1 : TPTP v9.0.0. Released v9.0.0.
% Domain   : Software Creation
% Problem  : Atelier-B Proof Obligation: PO 2 8 Group s1226 Tag s1216
% Version  : Especial.
% English  :

% Refs     : [Deh22] Deharbe (2022), Proof Obligations from the B Formal Me
%          : [Deh24] Deharbe (2024), Email to Geoff Sutcliffe
% Source   : [Deh24]
% Names    : 0000-00234-2-8.tptp [Deh24]

% Status   : Theorem
% Rating   : 0.00 v9.0.0
% Syntax   : Number of formulae    : 2972 (1087 unt;1307 typ;   0 def)
%            Number of atoms       : 4333 ( 903 equ)
%            Maximal formula atoms :   76 (   2 avg)
%            Number of connectives : 2749 ( 220   ~; 197   |;1112   &)
%                                         ( 560 <=>; 660  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   35 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of FOOLs       :  864 ( 264 fml; 600 var)
%            Number arithmetic     : 2538 ( 529 atm;  40 fun; 363 num;1606 var)
%            Number of types       :   24 (  21 usr;   2 ari)
%            Number of type conns  :  102 (  47   >;  55   *;   0   +;   0  <<)
%            Number of predicates  :  292 ( 285 usr; 266 prp; 0-4 aty)
%            Number of functors    : 1100 (1001 usr;1069 con; 0-2 aty)
%            Number of variables   : 2110 (1754   !; 356   ?;2110   :)
% SPC      : TX0_THM_EQU_ARI

% Comments : Autogenerated by PPTRANS-TPTP - github.com/CLEARSY/pptranspog
%------------------------------------------------------------------------------
tff(set_0_type,type,
    set_0: $tType ).

tff(mem0_type,type,
    mem0: ( $int * set_0 ) > $o ).

tff(set_1_type,type,
    set_1: $tType ).

tff(mem1_type,type,
    mem1: ( $real * set_1 ) > $o ).

tff(b_division_type,type,
    divB: ( $int * $int ) > $int ).

tff(b_division_def_1,axiom,
    ! [X: $int,Y: $int] :
      ( ( $lesseq(0,X)
        & $less(0,Y) )
     => ( divB(X,Y) = $quotient_f(X,Y) ) ) ).

tff(b_division_def_2,axiom,
    ! [X: $int,Y: $int] :
      ( ( $lesseq(X,0)
        & $less(0,Y) )
     => ( divB(X,Y) = $uminus($quotient_f($uminus(X),Y)) ) ) ).

tff(b_division_def_3,axiom,
    ! [X: $int,Y: $int] :
      ( ( $lesseq(0,X)
        & $less(Y,0) )
     => ( divB(X,Y) = $quotient_f(X,Y) ) ) ).

tff(b_division_def_4,axiom,
    ! [X: $int,Y: $int] :
      ( ( $lesseq(X,0)
        & $less(Y,0) )
     => ( divB(X,Y) = $quotient_f($uminus(X),$uminus(Y)) ) ) ).

tff(exp_type,type,
    exp: ( $int * $int ) > $int ).

tff(exp_def_1,axiom,
    ! [X: $int] : ( exp(X,0) = 1 ) ).

tff(exp_def_2,axiom,
    ! [X: $int,Y: $int] :
      ( $greatereq(Y,1)
     => ( exp(X,Y) = $sum(X,exp(X,$difference(Y,1))) ) ) ).

tff(rexp_type,type,
    rexp: ( $real * $int ) > $real ).

tff(rexp_def_1,axiom,
    ! [X: $real] :
      ( ( X != 0.0 )
     => ( rexp(X,0) = 1.0 ) ) ).

tff(rexp_def_2,axiom,
    ! [X: $real,Y: $int] :
      ( $greatereq(Y,1)
     => ( rexp(X,Y) = $sum(X,rexp(X,$difference(Y,1))) ) ) ).

tff(isum_type,type,
    isum: set_0 > $int ).

tff(isum_def_1,axiom,
    ! [S: set_0] :
      ( ! [X: $int] : ~ mem0(X,S)
     => ( isum(S) = 0 ) ) ).

tff(isum_def_2,axiom,
    ! [S1: set_0,S2: set_0,E: $int,N: $int] :
      ( ( ( isum(S1) = N )
        & ~ mem0(E,S1)
        & ! [X: $int] :
            ( mem0(X,S2)
           => ( ( X = E )
              | mem0(X,S1) ) )
        & ! [X: $int] :
            ( mem0(X,S1)
           => mem0(X,S2) ) )
     => ( isum(S2) = $sum(N,E) ) ) ).

tff(rsum_type,type,
    rsum: set_1 > $real ).

tff(rsum_def_1,axiom,
    ! [S: set_1,X: $real] :
      ( ~ mem1(X,S)
     => ( rsum(S) = 0.0 ) ) ).

tff(rsum_def_2,axiom,
    ! [S1: set_1,S2: set_1,E: $real,N: $real] :
      ( ( ( rsum(S1) = N )
        & ~ mem1(E,S1)
        & ! [X: $real] :
            ( mem1(X,S2)
           => ( ( X = E )
              | mem1(X,S1) ) )
        & ! [X: $real] :
            ( mem1(X,S1)
           => mem1(X,S2) ) )
     => ( rsum(S2) = $sum(N,E) ) ) ).

tff(iprod_type,type,
    iprod: set_0 > $int ).

tff(iprod_def_1,axiom,
    ! [S: set_0,X: $int] :
      ( ~ mem0(X,S)
     => ( iprod(S) = 1 ) ) ).

tff(iprod_def_2,axiom,
    ! [S1: set_0,S2: set_0,E: $int,N: $int] :
      ( ( ( iprod(S1) = N )
        & ~ mem0(E,S1)
        & ! [X: $int] :
            ( mem0(X,S2)
           => ( ( X = E )
              | mem0(X,S1) ) )
        & ! [X: $int] :
            ( ( ( X = E )
              | mem0(X,S1) )
           => mem0(X,S2) ) )
     => ( isum(S2) = $product(N,E) ) ) ).

tff(rprod_type,type,
    rprod: set_1 > $real ).

tff(rprod_def_1,axiom,
    ! [S: set_1,X: $real] :
      ( ~ mem1(X,S)
     => ( rprod(S) = 1.0 ) ) ).

tff(rprod_def_2,axiom,
    ! [S1: set_1,S2: set_1,E: $real,N: $real] :
      ( ( ( rprod(S1) = N )
        & ~ mem1(E,S1)
        & ! [X: $real] :
            ( mem1(X,S2)
           => ( ( X = E )
              | mem1(X,S1) ) )
        & ! [X: $real] :
            ( ( ( X = E )
              | mem1(X,S1) )
           => mem1(X,S2) ) )
     => ( rprod(S2) = $sum(N,E) ) ) ).

tff(min_int_type,type,
    min_int: $int ).

tff(max_int_type,type,
    max_int: $int ).

tff(min_int_axiom,axiom,
    min_int = $uminus(2147483648) ).

tff(max_int_axiom,axiom,
    max_int = 2147483647 ).

%--------------------------------------------------------------------------
%----Global declarations
tff(g__s883_1_874_type,type,
    g__s883_1_874: $int ).

tff(g__s883_2_873_type,type,
    g__s883_2_873: $int ).

tff(g__s888_1_876_type,type,
    g__s888_1_876: $int ).

tff(g__s888_2_875_type,type,
    g__s888_2_875: $int ).

tff(g__s897_1_878_type,type,
    g__s897_1_878: $int ).

tff(g__s897_2_877_type,type,
    g__s897_2_877: $int ).

tff(g_s0_0_type,type,
    g_s0_0: set_0 ).

tff(g_s1000_997_type,type,
    g_s1000_997: $o ).

tff(g_s1001_998_type,type,
    g_s1001_998: $o ).

tff(g_s1002_999_type,type,
    g_s1002_999: $o ).

tff(g_s1003_1000_type,type,
    g_s1003_1000: $o ).

tff(g_s1004_1001_type,type,
    g_s1004_1001: $o ).

tff(g_s1005_1002_type,type,
    g_s1005_1002: $o ).

tff(g_s1006_1003_type,type,
    g_s1006_1003: $o ).

tff(g_s1007_1004_type,type,
    g_s1007_1004: $o ).

tff(g_s1008_1005_type,type,
    g_s1008_1005: $o ).

tff(g_s1009_1006_type,type,
    g_s1009_1006: $o ).

tff(g_s100_100_type,type,
    g_s100_100: $int ).

tff(g_s1010_1007_type,type,
    g_s1010_1007: $o ).

tff(g_s1011_1008_type,type,
    g_s1011_1008: $o ).

tff(g_s1012_1009_type,type,
    g_s1012_1009: $o ).

tff(g_s1013_1010_type,type,
    g_s1013_1010: $o ).

tff(g_s1014_1011_type,type,
    g_s1014_1011: $o ).

tff(g_s1015_1012_type,type,
    g_s1015_1012: $o ).

tff(g_s1016_1013_type,type,
    g_s1016_1013: $o ).

tff(g_s1017_1014_type,type,
    g_s1017_1014: $o ).

tff(g_s1018_1015_type,type,
    g_s1018_1015: $o ).

tff(g_s1019_1016_type,type,
    g_s1019_1016: $o ).

tff(g_s101_101_type,type,
    g_s101_101: $int ).

tff(g_s1020_1017_type,type,
    g_s1020_1017: $o ).

tff(g_s1021_1018_type,type,
    g_s1021_1018: $o ).

tff(g_s1022_1019_type,type,
    g_s1022_1019: $o ).

tff(g_s1023_1020_type,type,
    g_s1023_1020: $o ).

tff(g_s1024_1021_type,type,
    g_s1024_1021: $o ).

tff(g_s1025_1022_type,type,
    g_s1025_1022: $o ).

tff(g_s1026_1023_type,type,
    g_s1026_1023: $o ).

tff(g_s1027_1024_type,type,
    g_s1027_1024: $o ).

tff(g_s1028_1025_type,type,
    g_s1028_1025: $o ).

tff(g_s1029_1026_type,type,
    g_s1029_1026: $o ).

tff(g_s102_102_type,type,
    g_s102_102: $int ).

tff(g_s1030_1027_type,type,
    g_s1030_1027: $o ).

tff(g_s1031_1028_type,type,
    g_s1031_1028: $o ).

tff(g_s1032_1029_type,type,
    g_s1032_1029: $o ).

tff(g_s1033_1030_type,type,
    g_s1033_1030: $o ).

tff(g_s1034_1031_type,type,
    g_s1034_1031: $o ).

tff(g_s1035_1032_type,type,
    g_s1035_1032: $o ).

tff(g_s1036_1033_type,type,
    g_s1036_1033: $o ).

tff(g_s1037_1034_type,type,
    g_s1037_1034: $o ).

tff(g_s1038_1035_type,type,
    g_s1038_1035: $o ).

tff(g_s1039_1036_type,type,
    g_s1039_1036: $o ).

tff(g_s103_103_type,type,
    g_s103_103: $int ).

tff(g_s1040_1037_type,type,
    g_s1040_1037: $o ).

tff(g_s1041_1038_type,type,
    g_s1041_1038: $o ).

tff(g_s1042_1039_type,type,
    g_s1042_1039: $o ).

tff(g_s1043_1040_type,type,
    g_s1043_1040: $o ).

tff(g_s1044_1041_type,type,
    g_s1044_1041: $o ).

tff(g_s1045_1042_type,type,
    g_s1045_1042: $o ).

tff(g_s1046_1043_type,type,
    g_s1046_1043: $o ).

tff(g_s1047_1044_type,type,
    g_s1047_1044: $o ).

tff(g_s1048_1045_type,type,
    g_s1048_1045: $o ).

tff(g_s1049_1046_type,type,
    g_s1049_1046: $o ).

tff(g_s104_104_type,type,
    g_s104_104: $int ).

tff(g_s1050_1047_type,type,
    g_s1050_1047: $o ).

tff(g_s1051_1048_type,type,
    g_s1051_1048: $o ).

tff(g_s1052_1049_type,type,
    g_s1052_1049: $o ).

tff(g_s1053_1050_type,type,
    g_s1053_1050: $o ).

tff(g_s1054_1051_type,type,
    g_s1054_1051: $o ).

tff(g_s1055_1052_type,type,
    g_s1055_1052: $o ).

tff(g_s1056_1053_type,type,
    g_s1056_1053: $o ).

tff(g_s1057_1054_type,type,
    g_s1057_1054: $o ).

tff(g_s1058_1055_type,type,
    g_s1058_1055: $o ).

tff(g_s1059_1056_type,type,
    g_s1059_1056: $o ).

tff(g_s105_105_type,type,
    g_s105_105: set_0 ).

tff(g_s1060_1057_type,type,
    g_s1060_1057: $o ).

tff(g_s1061_1058_type,type,
    g_s1061_1058: $o ).

tff(g_s1062_1059_type,type,
    g_s1062_1059: $o ).

tff(g_s1063_1060_type,type,
    g_s1063_1060: $o ).

tff(g_s1064_1061_type,type,
    g_s1064_1061: $o ).

tff(g_s1065_1062_type,type,
    g_s1065_1062: $o ).

tff(g_s1066_1063_type,type,
    g_s1066_1063: $o ).

tff(g_s1067_1064_type,type,
    g_s1067_1064: $o ).

tff(g_s1068_1065_type,type,
    g_s1068_1065: $o ).

tff(g_s1069_1066_type,type,
    g_s1069_1066: $o ).

tff(g_s106_106_type,type,
    g_s106_106: $int ).

tff(g_s1070_1067_type,type,
    g_s1070_1067: $o ).

tff(g_s1071_1068_type,type,
    g_s1071_1068: $o ).

tff(g_s1072_1069_type,type,
    g_s1072_1069: $o ).

tff(g_s1073_1070_type,type,
    g_s1073_1070: $o ).

tff(g_s1074_1071_type,type,
    g_s1074_1071: $o ).

tff(g_s1075_1072_type,type,
    g_s1075_1072: $o ).

tff(g_s1076_1073_type,type,
    g_s1076_1073: $o ).

tff(g_s1077_1074_type,type,
    g_s1077_1074: $o ).

tff(g_s1078_1075_type,type,
    g_s1078_1075: $o ).

tff(g_s1079_1076_type,type,
    g_s1079_1076: $o ).

tff(g_s107_107_type,type,
    g_s107_107: $int ).

tff(g_s1080_1077_type,type,
    g_s1080_1077: $o ).

tff(g_s1081_1078_type,type,
    g_s1081_1078: $o ).

tff(g_s1082_1079_type,type,
    g_s1082_1079: $o ).

tff(g_s1083_1080_type,type,
    g_s1083_1080: $o ).

tff(g_s1084_1081_type,type,
    g_s1084_1081: $o ).

tff(g_s1085_1082_type,type,
    g_s1085_1082: $o ).

tff(g_s1086_1083_type,type,
    g_s1086_1083: $o ).

tff(g_s1087_1084_type,type,
    g_s1087_1084: $o ).

tff(g_s1088_1085_type,type,
    g_s1088_1085: $o ).

tff(g_s1089_1086_type,type,
    g_s1089_1086: $o ).

tff(g_s108_108_type,type,
    g_s108_108: $int ).

tff(g_s1090_1087_type,type,
    g_s1090_1087: $o ).

tff(g_s1091_1088_type,type,
    g_s1091_1088: $o ).

tff(g_s1092_1089_type,type,
    g_s1092_1089: $o ).

tff(g_s1093_1090_type,type,
    g_s1093_1090: $o ).

tff(g_s1094_1091_type,type,
    g_s1094_1091: $o ).

tff(g_s1095_1092_type,type,
    g_s1095_1092: $o ).

tff(g_s1096_1093_type,type,
    g_s1096_1093: $o ).

tff(g_s1097_1094_type,type,
    g_s1097_1094: $o ).

tff(g_s1098_1095_type,type,
    g_s1098_1095: $o ).

tff(g_s1099_1096_type,type,
    g_s1099_1096: $o ).

tff(g_s109_109_type,type,
    g_s109_109: $int ).

tff(g_s10_10_type,type,
    g_s10_10: $int ).

tff(g_s1100_1097_type,type,
    g_s1100_1097: $o ).

tff(g_s1101_1098_type,type,
    g_s1101_1098: $o ).

tff(g_s1102_1099_type,type,
    g_s1102_1099: $o ).

tff(g_s1103_1100_type,type,
    g_s1103_1100: $o ).

tff(g_s1104_1101_type,type,
    g_s1104_1101: $o ).

tff(g_s1105_1102_type,type,
    g_s1105_1102: $o ).

tff(g_s1106_1103_type,type,
    g_s1106_1103: $o ).

tff(g_s1107_1104_type,type,
    g_s1107_1104: $o ).

tff(g_s1108_1105_type,type,
    g_s1108_1105: $o ).

tff(g_s1109_1106_type,type,
    g_s1109_1106: $o ).

tff(g_s110_110_type,type,
    g_s110_110: set_0 ).

tff(g_s1110_1107_type,type,
    g_s1110_1107: $o ).

tff(g_s1111_1108_type,type,
    g_s1111_1108: $o ).

tff(g_s1112_1109_type,type,
    g_s1112_1109: $o ).

tff(g_s1113_1110_type,type,
    g_s1113_1110: $o ).

tff(g_s1114_1111_type,type,
    g_s1114_1111: $o ).

tff(g_s1115_1112_type,type,
    g_s1115_1112: $o ).

tff(g_s1116_1113_type,type,
    g_s1116_1113: $o ).

tff(g_s1117_1114_type,type,
    g_s1117_1114: $o ).

tff(g_s1118_1115_type,type,
    g_s1118_1115: $o ).

tff(g_s1119_1116_type,type,
    g_s1119_1116: $o ).

tff(g_s111_111_type,type,
    g_s111_111: $int ).

tff(g_s1120_1117_type,type,
    g_s1120_1117: $o ).

tff(g_s1121_1118_type,type,
    g_s1121_1118: $o ).

tff(g_s1122_1119_type,type,
    g_s1122_1119: $o ).

tff(g_s1123_1120_type,type,
    g_s1123_1120: $o ).

tff(g_s1124_1121_type,type,
    g_s1124_1121: $o ).

tff(g_s1125_1122_type,type,
    g_s1125_1122: $o ).

tff(g_s1126_1123_type,type,
    g_s1126_1123: $o ).

tff(g_s1127_1124_type,type,
    g_s1127_1124: $o ).

tff(g_s1128_1125_type,type,
    g_s1128_1125: $o ).

tff(g_s1129_1126_type,type,
    g_s1129_1126: $o ).

tff(g_s112_112_type,type,
    g_s112_112: $int ).

tff(g_s1130_1127_type,type,
    g_s1130_1127: $o ).

tff(g_s1131_1128_type,type,
    g_s1131_1128: $o ).

tff(g_s1132_1129_type,type,
    g_s1132_1129: $o ).

tff(g_s1133_1130_type,type,
    g_s1133_1130: $o ).

tff(g_s1134_1131_type,type,
    g_s1134_1131: $o ).

tff(g_s1135_1132_type,type,
    g_s1135_1132: $o ).

tff(g_s1136_1133_type,type,
    g_s1136_1133: $o ).

tff(g_s1137_1134_type,type,
    g_s1137_1134: $o ).

tff(g_s1138_1135_type,type,
    g_s1138_1135: $o ).

tff(g_s1139_1136_type,type,
    g_s1139_1136: $o ).

tff(g_s113_113_type,type,
    g_s113_113: $int ).

tff(g_s1140_1137_type,type,
    g_s1140_1137: $o ).

tff(g_s1141_1138_type,type,
    g_s1141_1138: $o ).

tff(g_s1142_1139_type,type,
    g_s1142_1139: $int ).

tff(g_s1143_1140_type,type,
    g_s1143_1140: $int ).

tff(g_s1144_1141_type,type,
    g_s1144_1141: $int ).

tff(g_s1145_1142_type,type,
    g_s1145_1142: $int ).

tff(g_s1146_1143_type,type,
    g_s1146_1143: $int ).

tff(g_s1147_1144_type,type,
    g_s1147_1144: $int ).

tff(g_s1148_1145_type,type,
    g_s1148_1145: $int ).

tff(g_s1149_1146_type,type,
    g_s1149_1146: $int ).

tff(g_s114_114_type,type,
    g_s114_114: $int ).

tff(g_s1150_1147_type,type,
    g_s1150_1147: $int ).

tff(g_s1151_1148_type,type,
    g_s1151_1148: $int ).

tff(g_s1152_1149_type,type,
    g_s1152_1149: $int ).

tff(g_s1153_1150_type,type,
    g_s1153_1150: $int ).

tff(g_s1154_1151_type,type,
    g_s1154_1151: $o ).

tff(g_s1155_1152_type,type,
    g_s1155_1152: $o ).

tff(g_s1156_1153_type,type,
    g_s1156_1153: $o ).

tff(g_s1157_1154_type,type,
    g_s1157_1154: $o ).

tff(g_s1158_1155_type,type,
    g_s1158_1155: $o ).

tff(g_s1159_1156_type,type,
    g_s1159_1156: $o ).

tff(g_s115_115_type,type,
    g_s115_115: $int ).

tff(g_s1160_1157_type,type,
    g_s1160_1157: $o ).

tff(g_s1161_1158_type,type,
    g_s1161_1158: $int ).

tff(g_s1162_1159_type,type,
    g_s1162_1159: set_7 ).

tff(g_s1163_1160_type,type,
    g_s1163_1160: $o ).

tff(g_s1164_1161_type,type,
    g_s1164_1161: $o ).

tff(g_s1165_1162_type,type,
    g_s1165_1162: $o ).

tff(g_s1166_1163_type,type,
    g_s1166_1163: set_7 ).

tff(g_s1167_1164_type,type,
    g_s1167_1164: $o ).

tff(g_s1168_1165_type,type,
    g_s1168_1165: $o ).

tff(g_s1169_1166_type,type,
    g_s1169_1166: $o ).

tff(g_s116_116_type,type,
    g_s116_116: $int ).

tff(g_s1170_1168_type,type,
    g_s1170_1168: set_2 ).

tff(g_s1170_1_892_type,type,
    g_s1170_1_892: set_2 ).

tff(g_s1171_1169_type,type,
    g_s1171_1169: set_2 ).

tff(g_s1171_1_893_type,type,
    g_s1171_1_893: set_2 ).

tff(g_s1172_1170_type,type,
    g_s1172_1170: set_10 ).

tff(g_s1172_1_894_type,type,
    g_s1172_1_894: set_10 ).

tff(g_s1173_1173_type,type,
    g_s1173_1173: set_11 ).

tff(g_s1173_1_897_type,type,
    g_s1173_1_897: set_11 ).

tff(g_s1174_1171_type,type,
    g_s1174_1171: set_2 ).

tff(g_s1174_1_895_type,type,
    g_s1174_1_895: set_2 ).

tff(g_s1176_1183_type,type,
    g_s1176_1183: set_7 ).

tff(g_s1177_1184_type,type,
    g_s1177_1184: set_2 ).

tff(g_s1178_1176_type,type,
    g_s1178_1176: set_7 ).

tff(g_s1178_1_900_type,type,
    g_s1178_1_900: set_7 ).

tff(g_s1179_1167_type,type,
    g_s1179_1167: set_7 ).

tff(g_s1179_1_891_type,type,
    g_s1179_1_891: set_7 ).

tff(g_s117_117_type,type,
    g_s117_117: $int ).

tff(g_s1180_1185_type,type,
    g_s1180_1185: $int ).

tff(g_s1181_1186_type,type,
    g_s1181_1186: $int ).

tff(g_s1182_1187_type,type,
    g_s1182_1187: $o ).

tff(g_s1183_1178_type,type,
    g_s1183_1178: $int ).

tff(g_s1183_1_902_type,type,
    g_s1183_1_902: $int ).

tff(g_s1184_1188_type,type,
    g_s1184_1188: $int ).

tff(g_s1185_1189_type,type,
    g_s1185_1189: $int ).

tff(g_s1186_1179_type,type,
    g_s1186_1179: $o ).

tff(g_s1186_1_903_type,type,
    g_s1186_1_903: $o ).

tff(g_s1187_1190_type,type,
    g_s1187_1190: $int ).

tff(g_s1188_1191_type,type,
    g_s1188_1191: $o ).

tff(g_s1188_1_1192_type,type,
    g_s1188_1_1192: $o ).

tff(g_s1189_1_1193_type,type,
    g_s1189_1_1193: $o ).

tff(g_s118_118_type,type,
    g_s118_118: set_0 ).

tff(g_s1190_1_1194_type,type,
    g_s1190_1_1194: $int ).

tff(g_s1191_1_1195_type,type,
    g_s1191_1_1195: $o ).

tff(g_s1192_1_1196_type,type,
    g_s1192_1_1196: $int ).

tff(g_s1193_1_1197_type,type,
    g_s1193_1_1197: $int ).

tff(g_s1194_1_1198_type,type,
    g_s1194_1_1198: $int ).

tff(g_s1195_1_1199_type,type,
    g_s1195_1_1199: $int ).

tff(g_s1196_1_1200_type,type,
    g_s1196_1_1200: $int ).

tff(g_s1197_1_1201_type,type,
    g_s1197_1_1201: $int ).

tff(g_s1198_1_1202_type,type,
    g_s1198_1_1202: $int ).

tff(g_s1199_1_1203_type,type,
    g_s1199_1_1203: $int ).

tff(g_s119_119_type,type,
    g_s119_119: $int ).

tff(g_s11_11_type,type,
    g_s11_11: $int ).

tff(g_s1200_1_1204_type,type,
    g_s1200_1_1204: $o ).

tff(g_s1201_1_1205_type,type,
    g_s1201_1_1205: $o ).

tff(g_s1202_1_1206_type,type,
    g_s1202_1_1206: $o ).

tff(g_s1203_1_1207_type,type,
    g_s1203_1_1207: $o ).

tff(g_s1204_1_1208_type,type,
    g_s1204_1_1208: $o ).

tff(g_s1205_1_1209_type,type,
    g_s1205_1_1209: $o ).

tff(g_s1206_1_1210_type,type,
    g_s1206_1_1210: $o ).

tff(g_s1207_1_1211_type,type,
    g_s1207_1_1211: $o ).

tff(g_s1208_1_896_type,type,
    g_s1208_1_896: set_10 ).

tff(g_s1209_1_898_type,type,
    g_s1209_1_898: $o ).

tff(g_s120_120_type,type,
    g_s120_120: $int ).

tff(g_s1210_1_899_type,type,
    g_s1210_1_899: $int ).

tff(g_s1211_1_901_type,type,
    g_s1211_1_901: set_2 ).

tff(g_s1212_1_904_type,type,
    g_s1212_1_904: $o ).

tff(g_s1213_1_905_type,type,
    g_s1213_1_905: set_7 ).

tff(g_s1214_1_906_type,type,
    g_s1214_1_906: $int ).

tff(g_s1218_1212_type,type,
    g_s1218_1212: $int ).

tff(g_s121_121_type,type,
    g_s121_121: $int ).

tff(g_s1220_1213_type,type,
    g_s1220_1213: $o ).

tff(g_s1220_1_1217_type,type,
    g_s1220_1_1217: $o ).

tff(g_s1221_1214_type,type,
    g_s1221_1214: $int ).

tff(g_s1221_1_1218_type,type,
    g_s1221_1_1218: $int ).

tff(g_s1222_1215_type,type,
    g_s1222_1215: $int ).

tff(g_s1222_1_1219_type,type,
    g_s1222_1_1219: $int ).

tff(g_s1223_1216_type,type,
    g_s1223_1216: $int ).

tff(g_s1223_1_1220_type,type,
    g_s1223_1_1220: $int ).

tff(g_s1224_1221_type,type,
    g_s1224_1221: $int ).

tff(g_s1227_1222_type,type,
    g_s1227_1222: $int ).

tff(g_s1228_1223_type,type,
    g_s1228_1223: $int ).

tff(g_s1228_1_1224_type,type,
    g_s1228_1_1224: $int ).

tff(g_s122_122_type,type,
    g_s122_122: $int ).

tff(g_s123_123_type,type,
    g_s123_123: set_0 ).

tff(g_s124_124_type,type,
    g_s124_124: $int ).

tff(g_s125_125_type,type,
    g_s125_125: $int ).

tff(g_s126_126_type,type,
    g_s126_126: $int ).

tff(g_s127_127_type,type,
    g_s127_127: $int ).

tff(g_s128_128_type,type,
    g_s128_128: $int ).

tff(g_s129_129_type,type,
    g_s129_129: set_0 ).

tff(g_s12_12_type,type,
    g_s12_12: set_0 ).

tff(g_s130_130_type,type,
    g_s130_130: set_0 ).

tff(g_s131_131_type,type,
    g_s131_131: set_0 ).

tff(g_s132_132_type,type,
    g_s132_132: set_0 ).

tff(g_s133_133_type,type,
    g_s133_133: set_0 ).

tff(g_s134_134_type,type,
    g_s134_134: $int ).

tff(g_s135_135_type,type,
    g_s135_135: $int ).

tff(g_s136_136_type,type,
    g_s136_136: $int ).

tff(g_s137_137_type,type,
    g_s137_137: $int ).

tff(g_s138_138_type,type,
    g_s138_138: $int ).

tff(g_s139_139_type,type,
    g_s139_139: $int ).

tff(g_s13_13_type,type,
    g_s13_13: $int ).

tff(g_s140_140_type,type,
    g_s140_140: $int ).

tff(g_s141_141_type,type,
    g_s141_141: $int ).

tff(g_s142_142_type,type,
    g_s142_142: $int ).

tff(g_s143_143_type,type,
    g_s143_143: $int ).

tff(g_s144_144_type,type,
    g_s144_144: $int ).

tff(g_s145_145_type,type,
    g_s145_145: $int ).

tff(g_s146_146_type,type,
    g_s146_146: $int ).

tff(g_s147_147_type,type,
    g_s147_147: $int ).

tff(g_s148_148_type,type,
    g_s148_148: $int ).

tff(g_s149_149_type,type,
    g_s149_149: $int ).

tff(g_s14_14_type,type,
    g_s14_14: $int ).

tff(g_s150_150_type,type,
    g_s150_150: $int ).

tff(g_s151_151_type,type,
    g_s151_151: set_0 ).

tff(g_s152_152_type,type,
    g_s152_152: $int ).

tff(g_s153_153_type,type,
    g_s153_153: $int ).

tff(g_s154_154_type,type,
    g_s154_154: $int ).

tff(g_s155_155_type,type,
    g_s155_155: $int ).

tff(g_s156_156_type,type,
    g_s156_156: $int ).

tff(g_s157_157_type,type,
    g_s157_157: $int ).

tff(g_s158_158_type,type,
    g_s158_158: $int ).

tff(g_s159_159_type,type,
    g_s159_159: $int ).

tff(g_s15_15_type,type,
    g_s15_15: $int ).

tff(g_s160_160_type,type,
    g_s160_160: $int ).

tff(g_s161_161_type,type,
    g_s161_161: $int ).

tff(g_s162_162_type,type,
    g_s162_162: $int ).

tff(g_s163_163_type,type,
    g_s163_163: $int ).

tff(g_s164_164_type,type,
    g_s164_164: $int ).

tff(g_s165_165_type,type,
    g_s165_165: $int ).

tff(g_s166_166_type,type,
    g_s166_166: $int ).

tff(g_s167_167_type,type,
    g_s167_167: $int ).

tff(g_s168_168_type,type,
    g_s168_168: $int ).

tff(g_s169_169_type,type,
    g_s169_169: set_0 ).

tff(g_s16_16_type,type,
    g_s16_16: $int ).

tff(g_s170_170_type,type,
    g_s170_170: $int ).

tff(g_s171_171_type,type,
    g_s171_171: $int ).

tff(g_s172_172_type,type,
    g_s172_172: $int ).

tff(g_s173_173_type,type,
    g_s173_173: set_0 ).

tff(g_s174_174_type,type,
    g_s174_174: $int ).

tff(g_s175_175_type,type,
    g_s175_175: $int ).

tff(g_s176_176_type,type,
    g_s176_176: set_0 ).

tff(g_s177_177_type,type,
    g_s177_177: $int ).

tff(g_s178_178_type,type,
    g_s178_178: $int ).

tff(g_s179_179_type,type,
    g_s179_179: $int ).

tff(g_s17_17_type,type,
    g_s17_17: $int ).

tff(g_s180_180_type,type,
    g_s180_180: $int ).

tff(g_s181_181_type,type,
    g_s181_181: $int ).

tff(g_s182_182_type,type,
    g_s182_182: $int ).

tff(g_s183_183_type,type,
    g_s183_183: $int ).

tff(g_s184_184_type,type,
    g_s184_184: $int ).

tff(g_s185_185_type,type,
    g_s185_185: $int ).

tff(g_s186_186_type,type,
    g_s186_186: set_0 ).

tff(g_s187_187_type,type,
    g_s187_187: $int ).

tff(g_s188_188_type,type,
    g_s188_188: $int ).

tff(g_s189_189_type,type,
    g_s189_189: $int ).

tff(g_s18_18_type,type,
    g_s18_18: set_0 ).

tff(g_s190_190_type,type,
    g_s190_190: $int ).

tff(g_s191_192_type,type,
    g_s191_192: $o ).

tff(g_s192_191_type,type,
    g_s192_191: set_3 ).

tff(g_s193_193_type,type,
    g_s193_193: $o ).

tff(g_s194_195_type,type,
    g_s194_195: $int ).

tff(g_s195_194_type,type,
    g_s195_194: set_0 ).

tff(g_s196_196_type,type,
    g_s196_196: $int ).

tff(g_s197_197_type,type,
    g_s197_197: $int ).

tff(g_s198_198_type,type,
    g_s198_198: $int ).

tff(g_s199_199_type,type,
    g_s199_199: $int ).

tff(g_s19_19_type,type,
    g_s19_19: $int ).

tff(g_s1_1_type,type,
    g_s1_1: $int ).

tff(g_s200_200_type,type,
    g_s200_200: $int ).

tff(g_s201_201_type,type,
    g_s201_201: $int ).

tff(g_s202_202_type,type,
    g_s202_202: $int ).

tff(g_s203_203_type,type,
    g_s203_203: $int ).

tff(g_s204_204_type,type,
    g_s204_204: $int ).

tff(g_s205_205_type,type,
    g_s205_205: $int ).

tff(g_s206_206_type,type,
    g_s206_206: $int ).

tff(g_s207_207_type,type,
    g_s207_207: $int ).

tff(g_s208_208_type,type,
    g_s208_208: $int ).

tff(g_s209_209_type,type,
    g_s209_209: $int ).

tff(g_s20_20_type,type,
    g_s20_20: $int ).

tff(g_s210_210_type,type,
    g_s210_210: $int ).

tff(g_s211_211_type,type,
    g_s211_211: $int ).

tff(g_s212_212_type,type,
    g_s212_212: $int ).

tff(g_s213_213_type,type,
    g_s213_213: $int ).

tff(g_s214_214_type,type,
    g_s214_214: $int ).

tff(g_s215_215_type,type,
    g_s215_215: $int ).

tff(g_s216_216_type,type,
    g_s216_216: $int ).

tff(g_s217_217_type,type,
    g_s217_217: $int ).

tff(g_s218_218_type,type,
    g_s218_218: $int ).

tff(g_s219_219_type,type,
    g_s219_219: $int ).

tff(g_s21_21_type,type,
    g_s21_21: set_0 ).

tff(g_s220_220_type,type,
    g_s220_220: $int ).

tff(g_s221_221_type,type,
    g_s221_221: $int ).

tff(g_s222_222_type,type,
    g_s222_222: $int ).

tff(g_s223_223_type,type,
    g_s223_223: $int ).

tff(g_s224_224_type,type,
    g_s224_224: $int ).

tff(g_s225_225_type,type,
    g_s225_225: $int ).

tff(g_s226_226_type,type,
    g_s226_226: $int ).

tff(g_s227_227_type,type,
    g_s227_227: $int ).

tff(g_s228_228_type,type,
    g_s228_228: $int ).

tff(g_s229_229_type,type,
    g_s229_229: $int ).

tff(g_s22_22_type,type,
    g_s22_22: $int ).

tff(g_s230_230_type,type,
    g_s230_230: $int ).

tff(g_s231_231_type,type,
    g_s231_231: $int ).

tff(g_s232_232_type,type,
    g_s232_232: $int ).

tff(g_s233_233_type,type,
    g_s233_233: $int ).

tff(g_s234_234_type,type,
    g_s234_234: $int ).

tff(g_s235_235_type,type,
    g_s235_235: $int ).

tff(g_s236_236_type,type,
    g_s236_236: $int ).

tff(g_s237_237_type,type,
    g_s237_237: $int ).

tff(g_s238_238_type,type,
    g_s238_238: $int ).

tff(g_s239_239_type,type,
    g_s239_239: $int ).

tff(g_s23_23_type,type,
    g_s23_23: $int ).

tff(g_s240_240_type,type,
    g_s240_240: $int ).

tff(g_s241_241_type,type,
    g_s241_241: $int ).

tff(g_s242_242_type,type,
    g_s242_242: $int ).

tff(g_s243_243_type,type,
    g_s243_243: $int ).

tff(g_s244_244_type,type,
    g_s244_244: $int ).

tff(g_s245_245_type,type,
    g_s245_245: $int ).

tff(g_s246_246_type,type,
    g_s246_246: $int ).

tff(g_s247_247_type,type,
    g_s247_247: $int ).

tff(g_s248_248_type,type,
    g_s248_248: $int ).

tff(g_s249_249_type,type,
    g_s249_249: $int ).

tff(g_s24_24_type,type,
    g_s24_24: $int ).

tff(g_s250_250_type,type,
    g_s250_250: $int ).

tff(g_s251_251_type,type,
    g_s251_251: $int ).

tff(g_s252_252_type,type,
    g_s252_252: $int ).

tff(g_s253_253_type,type,
    g_s253_253: $int ).

tff(g_s254_254_type,type,
    g_s254_254: $int ).

tff(g_s255_255_type,type,
    g_s255_255: $int ).

tff(g_s256_256_type,type,
    g_s256_256: $int ).

tff(g_s257_257_type,type,
    g_s257_257: $int ).

tff(g_s258_258_type,type,
    g_s258_258: $int ).

tff(g_s259_259_type,type,
    g_s259_259: $int ).

tff(g_s25_25_type,type,
    g_s25_25: $int ).

tff(g_s260_260_type,type,
    g_s260_260: $int ).

tff(g_s261_261_type,type,
    g_s261_261: $int ).

tff(g_s262_262_type,type,
    g_s262_262: $int ).

tff(g_s263_263_type,type,
    g_s263_263: $int ).

tff(g_s264_264_type,type,
    g_s264_264: $int ).

tff(g_s265_265_type,type,
    g_s265_265: $int ).

tff(g_s266_266_type,type,
    g_s266_266: $int ).

tff(g_s267_267_type,type,
    g_s267_267: $int ).

tff(g_s268_268_type,type,
    g_s268_268: $int ).

tff(g_s269_269_type,type,
    g_s269_269: $int ).

tff(g_s26_26_type,type,
    g_s26_26: set_0 ).

tff(g_s270_270_type,type,
    g_s270_270: $int ).

tff(g_s271_271_type,type,
    g_s271_271: $int ).

tff(g_s272_272_type,type,
    g_s272_272: $int ).

tff(g_s273_273_type,type,
    g_s273_273: $int ).

tff(g_s274_274_type,type,
    g_s274_274: $int ).

tff(g_s275_275_type,type,
    g_s275_275: $int ).

tff(g_s276_276_type,type,
    g_s276_276: $int ).

tff(g_s277_277_type,type,
    g_s277_277: $int ).

tff(g_s278_278_type,type,
    g_s278_278: $int ).

tff(g_s279_279_type,type,
    g_s279_279: $int ).

tff(g_s27_27_type,type,
    g_s27_27: $int ).

tff(g_s280_281_type,type,
    g_s280_281: $int ).

tff(g_s281_280_type,type,
    g_s281_280: set_0 ).

tff(g_s282_282_type,type,
    g_s282_282: $int ).

tff(g_s283_283_type,type,
    g_s283_283: $int ).

tff(g_s284_284_type,type,
    g_s284_284: $int ).

tff(g_s285_285_type,type,
    g_s285_285: $int ).

tff(g_s286_286_type,type,
    g_s286_286: $int ).

tff(g_s287_287_type,type,
    g_s287_287: $int ).

tff(g_s288_288_type,type,
    g_s288_288: $int ).

tff(g_s289_289_type,type,
    g_s289_289: $int ).

tff(g_s28_28_type,type,
    g_s28_28: $int ).

tff(g_s290_290_type,type,
    g_s290_290: $int ).

tff(g_s291_291_type,type,
    g_s291_291: $int ).

tff(g_s292_292_type,type,
    g_s292_292: set_0 ).

tff(g_s293_293_type,type,
    g_s293_293: set_0 ).

tff(g_s294_294_type,type,
    g_s294_294: set_0 ).

tff(g_s295_295_type,type,
    g_s295_295: set_0 ).

tff(g_s296_296_type,type,
    g_s296_296: set_0 ).

tff(g_s297_297_type,type,
    g_s297_297: set_0 ).

tff(g_s298_298_type,type,
    g_s298_298: set_0 ).

tff(g_s299_299_type,type,
    g_s299_299: set_0 ).

tff(g_s29_29_type,type,
    g_s29_29: $int ).

tff(g_s2_2_type,type,
    g_s2_2: $int ).

tff(g_s300_300_type,type,
    g_s300_300: set_0 ).

tff(g_s301_301_type,type,
    g_s301_301: set_0 ).

tff(g_s302_302_type,type,
    g_s302_302: set_0 ).

tff(g_s303_303_type,type,
    g_s303_303: set_0 ).

tff(g_s304_304_type,type,
    g_s304_304: set_0 ).

tff(g_s305_305_type,type,
    g_s305_305: set_0 ).

tff(g_s306_306_type,type,
    g_s306_306: set_0 ).

tff(g_s307_307_type,type,
    g_s307_307: set_0 ).

tff(g_s308_308_type,type,
    g_s308_308: set_0 ).

tff(g_s309_309_type,type,
    g_s309_309: set_0 ).

tff(g_s30_30_type,type,
    g_s30_30: $int ).

tff(g_s310_310_type,type,
    g_s310_310: set_0 ).

tff(g_s311_311_type,type,
    g_s311_311: set_0 ).

tff(g_s312_312_type,type,
    g_s312_312: set_0 ).

tff(g_s313_313_type,type,
    g_s313_313: set_0 ).

tff(g_s314_314_type,type,
    g_s314_314: set_0 ).

tff(g_s315_315_type,type,
    g_s315_315: set_0 ).

tff(g_s316_316_type,type,
    g_s316_316: set_0 ).

tff(g_s317_317_type,type,
    g_s317_317: set_0 ).

tff(g_s318_318_type,type,
    g_s318_318: set_0 ).

tff(g_s319_319_type,type,
    g_s319_319: $int ).

tff(g_s31_31_type,type,
    g_s31_31: $int ).

tff(g_s320_320_type,type,
    g_s320_320: $int ).

tff(g_s321_321_type,type,
    g_s321_321: set_0 ).

tff(g_s322_322_type,type,
    g_s322_322: set_0 ).

tff(g_s323_323_type,type,
    g_s323_323: $int ).

tff(g_s324_324_type,type,
    g_s324_324: set_0 ).

tff(g_s325_325_type,type,
    g_s325_325: set_0 ).

tff(g_s326_326_type,type,
    g_s326_326: set_0 ).

tff(g_s327_327_type,type,
    g_s327_327: set_0 ).

tff(g_s328_328_type,type,
    g_s328_328: $int ).

tff(g_s329_329_type,type,
    g_s329_329: set_0 ).

tff(g_s32_32_type,type,
    g_s32_32: set_0 ).

tff(g_s330_330_type,type,
    g_s330_330: set_0 ).

tff(g_s331_331_type,type,
    g_s331_331: set_0 ).

tff(g_s332_332_type,type,
    g_s332_332: set_3 ).

tff(g_s333_333_type,type,
    g_s333_333: set_3 ).

tff(g_s334_334_type,type,
    g_s334_334: set_0 ).

tff(g_s335_335_type,type,
    g_s335_335: $int ).

tff(g_s336_336_type,type,
    g_s336_336: $int ).

tff(g_s337_337_type,type,
    g_s337_337: $int ).

tff(g_s338_338_type,type,
    g_s338_338: $int ).

tff(g_s339_339_type,type,
    g_s339_339: $int ).

tff(g_s33_33_type,type,
    g_s33_33: $int ).

tff(g_s340_340_type,type,
    g_s340_340: $int ).

tff(g_s341_341_type,type,
    g_s341_341: $int ).

tff(g_s342_342_type,type,
    g_s342_342: $int ).

tff(g_s343_343_type,type,
    g_s343_343: $int ).

tff(g_s344_344_type,type,
    g_s344_344: $int ).

tff(g_s345_345_type,type,
    g_s345_345: $int ).

tff(g_s346_346_type,type,
    g_s346_346: $int ).

tff(g_s347_347_type,type,
    g_s347_347: $int ).

tff(g_s348_348_type,type,
    g_s348_348: $int ).

tff(g_s349_349_type,type,
    g_s349_349: $int ).

tff(g_s34_34_type,type,
    g_s34_34: $int ).

tff(g_s350_350_type,type,
    g_s350_350: $int ).

tff(g_s351_351_type,type,
    g_s351_351: $int ).

tff(g_s352_352_type,type,
    g_s352_352: $int ).

tff(g_s353_353_type,type,
    g_s353_353: $int ).

tff(g_s354_354_type,type,
    g_s354_354: $int ).

tff(g_s355_355_type,type,
    g_s355_355: $int ).

tff(g_s356_356_type,type,
    g_s356_356: $int ).

tff(g_s357_357_type,type,
    g_s357_357: $int ).

tff(g_s358_358_type,type,
    g_s358_358: $int ).

tff(g_s359_359_type,type,
    g_s359_359: $int ).

tff(g_s35_35_type,type,
    g_s35_35: $int ).

tff(g_s360_360_type,type,
    g_s360_360: $int ).

tff(g_s361_361_type,type,
    g_s361_361: $int ).

tff(g_s362_362_type,type,
    g_s362_362: $int ).

tff(g_s363_363_type,type,
    g_s363_363: $int ).

tff(g_s364_364_type,type,
    g_s364_364: $int ).

tff(g_s365_365_type,type,
    g_s365_365: $int ).

tff(g_s366_366_type,type,
    g_s366_366: $int ).

tff(g_s367_367_type,type,
    g_s367_367: $int ).

tff(g_s368_368_type,type,
    g_s368_368: $int ).

tff(g_s369_369_type,type,
    g_s369_369: $int ).

tff(g_s36_36_type,type,
    g_s36_36: set_0 ).

tff(g_s370_370_type,type,
    g_s370_370: $int ).

tff(g_s371_371_type,type,
    g_s371_371: $int ).

tff(g_s372_372_type,type,
    g_s372_372: $int ).

tff(g_s373_373_type,type,
    g_s373_373: set_0 ).

tff(g_s374_374_type,type,
    g_s374_374: $int ).

tff(g_s375_375_type,type,
    g_s375_375: $int ).

tff(g_s376_376_type,type,
    g_s376_376: $int ).

tff(g_s377_377_type,type,
    g_s377_377: $int ).

tff(g_s378_378_type,type,
    g_s378_378: $int ).

tff(g_s379_379_type,type,
    g_s379_379: $int ).

tff(g_s37_37_type,type,
    g_s37_37: $int ).

tff(g_s380_380_type,type,
    g_s380_380: $int ).

tff(g_s381_381_type,type,
    g_s381_381: $int ).

tff(g_s382_382_type,type,
    g_s382_382: $int ).

tff(g_s383_383_type,type,
    g_s383_383: $int ).

tff(g_s384_384_type,type,
    g_s384_384: $int ).

tff(g_s385_385_type,type,
    g_s385_385: $int ).

tff(g_s386_386_type,type,
    g_s386_386: $int ).

tff(g_s387_387_type,type,
    g_s387_387: $int ).

tff(g_s388_388_type,type,
    g_s388_388: $int ).

tff(g_s389_389_type,type,
    g_s389_389: $int ).

tff(g_s38_38_type,type,
    g_s38_38: $int ).

tff(g_s390_390_type,type,
    g_s390_390: $int ).

tff(g_s391_391_type,type,
    g_s391_391: $int ).

tff(g_s392_392_type,type,
    g_s392_392: $int ).

tff(g_s393_393_type,type,
    g_s393_393: $int ).

tff(g_s394_394_type,type,
    g_s394_394: $int ).

tff(g_s395_395_type,type,
    g_s395_395: $int ).

tff(g_s396_396_type,type,
    g_s396_396: $int ).

tff(g_s397_397_type,type,
    g_s397_397: $int ).

tff(g_s398_398_type,type,
    g_s398_398: $int ).

tff(g_s399_399_type,type,
    g_s399_399: $int ).

tff(g_s39_39_type,type,
    g_s39_39: set_0 ).

tff(g_s3_3_type,type,
    g_s3_3: $int ).

tff(g_s400_400_type,type,
    g_s400_400: $int ).

tff(g_s401_401_type,type,
    g_s401_401: $int ).

tff(g_s402_402_type,type,
    g_s402_402: $int ).

tff(g_s403_403_type,type,
    g_s403_403: $int ).

tff(g_s404_404_type,type,
    g_s404_404: $int ).

tff(g_s405_405_type,type,
    g_s405_405: $int ).

tff(g_s406_406_type,type,
    g_s406_406: $int ).

tff(g_s407_407_type,type,
    g_s407_407: $int ).

tff(g_s408_408_type,type,
    g_s408_408: $int ).

tff(g_s409_409_type,type,
    g_s409_409: $int ).

tff(g_s40_40_type,type,
    g_s40_40: $int ).

tff(g_s410_410_type,type,
    g_s410_410: $int ).

tff(g_s411_411_type,type,
    g_s411_411: $int ).

tff(g_s412_412_type,type,
    g_s412_412: $int ).

tff(g_s413_413_type,type,
    g_s413_413: $int ).

tff(g_s414_414_type,type,
    g_s414_414: $int ).

tff(g_s415_415_type,type,
    g_s415_415: $int ).

tff(g_s416_416_type,type,
    g_s416_416: $int ).

tff(g_s417_417_type,type,
    g_s417_417: $int ).

tff(g_s418_418_type,type,
    g_s418_418: $int ).

tff(g_s419_419_type,type,
    g_s419_419: $int ).

tff(g_s41_41_type,type,
    g_s41_41: $int ).

tff(g_s420_420_type,type,
    g_s420_420: $int ).

tff(g_s421_421_type,type,
    g_s421_421: $int ).

tff(g_s422_422_type,type,
    g_s422_422: $int ).

tff(g_s423_423_type,type,
    g_s423_423: $int ).

tff(g_s424_424_type,type,
    g_s424_424: $int ).

tff(g_s425_425_type,type,
    g_s425_425: $int ).

tff(g_s426_426_type,type,
    g_s426_426: $int ).

tff(g_s427_427_type,type,
    g_s427_427: $int ).

tff(g_s428_428_type,type,
    g_s428_428: $int ).

tff(g_s429_429_type,type,
    g_s429_429: $int ).

tff(g_s42_42_type,type,
    g_s42_42: $int ).

tff(g_s430_430_type,type,
    g_s430_430: $int ).

tff(g_s431_431_type,type,
    g_s431_431: $int ).

tff(g_s432_432_type,type,
    g_s432_432: $int ).

tff(g_s433_433_type,type,
    g_s433_433: $int ).

tff(g_s434_434_type,type,
    g_s434_434: $int ).

tff(g_s435_435_type,type,
    g_s435_435: $int ).

tff(g_s436_436_type,type,
    g_s436_436: $int ).

tff(g_s437_437_type,type,
    g_s437_437: $int ).

tff(g_s438_438_type,type,
    g_s438_438: $int ).

tff(g_s439_439_type,type,
    g_s439_439: $int ).

tff(g_s43_43_type,type,
    g_s43_43: set_0 ).

tff(g_s440_440_type,type,
    g_s440_440: $int ).

tff(g_s441_441_type,type,
    g_s441_441: $int ).

tff(g_s442_442_type,type,
    g_s442_442: $int ).

tff(g_s443_443_type,type,
    g_s443_443: $int ).

tff(g_s444_444_type,type,
    g_s444_444: $int ).

tff(g_s445_445_type,type,
    g_s445_445: $int ).

tff(g_s446_446_type,type,
    g_s446_446: $int ).

tff(g_s447_447_type,type,
    g_s447_447: $int ).

tff(g_s448_448_type,type,
    g_s448_448: $int ).

tff(g_s449_449_type,type,
    g_s449_449: $int ).

tff(g_s44_44_type,type,
    g_s44_44: $int ).

tff(g_s450_450_type,type,
    g_s450_450: $int ).

tff(g_s451_451_type,type,
    g_s451_451: $int ).

tff(g_s452_452_type,type,
    g_s452_452: $int ).

tff(g_s453_453_type,type,
    g_s453_453: $int ).

tff(g_s454_454_type,type,
    g_s454_454: $int ).

tff(g_s455_455_type,type,
    g_s455_455: $int ).

tff(g_s456_456_type,type,
    g_s456_456: $int ).

tff(g_s457_457_type,type,
    g_s457_457: $int ).

tff(g_s458_458_type,type,
    g_s458_458: $int ).

tff(g_s459_459_type,type,
    g_s459_459: $int ).

tff(g_s45_45_type,type,
    g_s45_45: $int ).

tff(g_s460_460_type,type,
    g_s460_460: $int ).

tff(g_s461_461_type,type,
    g_s461_461: $int ).

tff(g_s462_462_type,type,
    g_s462_462: $int ).

tff(g_s463_463_type,type,
    g_s463_463: $int ).

tff(g_s464_464_type,type,
    g_s464_464: $int ).

tff(g_s465_465_type,type,
    g_s465_465: $int ).

tff(g_s466_466_type,type,
    g_s466_466: $int ).

tff(g_s467_467_type,type,
    g_s467_467: $int ).

tff(g_s468_468_type,type,
    g_s468_468: $int ).

tff(g_s469_469_type,type,
    g_s469_469: $int ).

tff(g_s46_46_type,type,
    g_s46_46: $int ).

tff(g_s470_470_type,type,
    g_s470_470: $int ).

tff(g_s471_471_type,type,
    g_s471_471: $int ).

tff(g_s472_472_type,type,
    g_s472_472: $int ).

tff(g_s473_473_type,type,
    g_s473_473: $int ).

tff(g_s474_474_type,type,
    g_s474_474: $int ).

tff(g_s475_475_type,type,
    g_s475_475: $int ).

tff(g_s476_476_type,type,
    g_s476_476: $int ).

tff(g_s477_477_type,type,
    g_s477_477: $int ).

tff(g_s478_478_type,type,
    g_s478_478: $int ).

tff(g_s479_479_type,type,
    g_s479_479: $int ).

tff(g_s47_47_type,type,
    g_s47_47: set_0 ).

tff(g_s480_480_type,type,
    g_s480_480: $int ).

tff(g_s481_481_type,type,
    g_s481_481: $int ).

tff(g_s482_482_type,type,
    g_s482_482: $int ).

tff(g_s483_483_type,type,
    g_s483_483: $int ).

tff(g_s484_484_type,type,
    g_s484_484: $int ).

tff(g_s485_485_type,type,
    g_s485_485: $int ).

tff(g_s486_486_type,type,
    g_s486_486: $int ).

tff(g_s487_487_type,type,
    g_s487_487: $int ).

tff(g_s488_488_type,type,
    g_s488_488: $int ).

tff(g_s489_489_type,type,
    g_s489_489: $int ).

tff(g_s48_48_type,type,
    g_s48_48: $int ).

tff(g_s490_490_type,type,
    g_s490_490: $int ).

tff(g_s491_491_type,type,
    g_s491_491: $int ).

tff(g_s492_492_type,type,
    g_s492_492: $int ).

tff(g_s493_493_type,type,
    g_s493_493: $int ).

tff(g_s494_494_type,type,
    g_s494_494: $int ).

tff(g_s495_495_type,type,
    g_s495_495: $int ).

tff(g_s496_496_type,type,
    g_s496_496: $int ).

tff(g_s497_497_type,type,
    g_s497_497: $int ).

tff(g_s498_498_type,type,
    g_s498_498: $int ).

tff(g_s499_499_type,type,
    g_s499_499: $int ).

tff(g_s49_49_type,type,
    g_s49_49: $int ).

tff(g_s4_4_type,type,
    g_s4_4: set_0 ).

tff(g_s500_500_type,type,
    g_s500_500: $int ).

tff(g_s501_501_type,type,
    g_s501_501: $int ).

tff(g_s502_502_type,type,
    g_s502_502: $int ).

tff(g_s503_503_type,type,
    g_s503_503: $int ).

tff(g_s504_504_type,type,
    g_s504_504: $int ).

tff(g_s505_505_type,type,
    g_s505_505: $int ).

tff(g_s506_506_type,type,
    g_s506_506: $int ).

tff(g_s507_507_type,type,
    g_s507_507: $int ).

tff(g_s508_508_type,type,
    g_s508_508: $int ).

tff(g_s509_509_type,type,
    g_s509_509: $int ).

tff(g_s50_50_type,type,
    g_s50_50: $int ).

tff(g_s510_510_type,type,
    g_s510_510: $int ).

tff(g_s511_511_type,type,
    g_s511_511: $int ).

tff(g_s512_512_type,type,
    g_s512_512: $int ).

tff(g_s513_513_type,type,
    g_s513_513: $int ).

tff(g_s514_514_type,type,
    g_s514_514: $int ).

tff(g_s515_515_type,type,
    g_s515_515: $int ).

tff(g_s516_516_type,type,
    g_s516_516: $int ).

tff(g_s517_517_type,type,
    g_s517_517: $int ).

tff(g_s518_518_type,type,
    g_s518_518: $int ).

tff(g_s519_519_type,type,
    g_s519_519: $int ).

tff(g_s51_51_type,type,
    g_s51_51: set_0 ).

tff(g_s520_520_type,type,
    g_s520_520: $int ).

tff(g_s521_521_type,type,
    g_s521_521: $int ).

tff(g_s522_522_type,type,
    g_s522_522: $int ).

tff(g_s523_523_type,type,
    g_s523_523: $int ).

tff(g_s524_524_type,type,
    g_s524_524: $int ).

tff(g_s525_525_type,type,
    g_s525_525: $int ).

tff(g_s526_526_type,type,
    g_s526_526: $int ).

tff(g_s527_527_type,type,
    g_s527_527: $int ).

tff(g_s528_528_type,type,
    g_s528_528: $int ).

tff(g_s529_529_type,type,
    g_s529_529: set_0 ).

tff(g_s52_52_type,type,
    g_s52_52: $int ).

tff(g_s530_530_type,type,
    g_s530_530: set_0 ).

tff(g_s531_531_type,type,
    g_s531_531: set_0 ).

tff(g_s532_532_type,type,
    g_s532_532: set_0 ).

tff(g_s533_533_type,type,
    g_s533_533: set_0 ).

tff(g_s534_534_type,type,
    g_s534_534: set_0 ).

tff(g_s535_535_type,type,
    g_s535_535: set_0 ).

tff(g_s536_536_type,type,
    g_s536_536: set_0 ).

tff(g_s537_537_type,type,
    g_s537_537: set_0 ).

tff(g_s538_538_type,type,
    g_s538_538: $int ).

tff(g_s539_539_type,type,
    g_s539_539: set_0 ).

tff(g_s53_53_type,type,
    g_s53_53: $int ).

tff(g_s540_540_type,type,
    g_s540_540: set_0 ).

tff(g_s541_541_type,type,
    g_s541_541: set_0 ).

tff(g_s542_542_type,type,
    g_s542_542: set_0 ).

tff(g_s543_543_type,type,
    g_s543_543: set_0 ).

tff(g_s544_544_type,type,
    g_s544_544: set_0 ).

tff(g_s545_545_type,type,
    g_s545_545: set_0 ).

tff(g_s546_546_type,type,
    g_s546_546: set_0 ).

tff(g_s547_547_type,type,
    g_s547_547: set_0 ).

tff(g_s548_548_type,type,
    g_s548_548: set_0 ).

tff(g_s549_549_type,type,
    g_s549_549: set_0 ).

tff(g_s54_54_type,type,
    g_s54_54: $int ).

tff(g_s550_550_type,type,
    g_s550_550: set_0 ).

tff(g_s551_551_type,type,
    g_s551_551: set_0 ).

tff(g_s552_552_type,type,
    g_s552_552: set_0 ).

tff(g_s553_553_type,type,
    g_s553_553: set_0 ).

tff(g_s554_554_type,type,
    g_s554_554: set_0 ).

tff(g_s555_555_type,type,
    g_s555_555: set_0 ).

tff(g_s556_556_type,type,
    g_s556_556: set_0 ).

tff(g_s557_557_type,type,
    g_s557_557: set_0 ).

tff(g_s558_558_type,type,
    g_s558_558: set_0 ).

tff(g_s559_559_type,type,
    g_s559_559: set_0 ).

tff(g_s55_55_type,type,
    g_s55_55: $int ).

tff(g_s560_560_type,type,
    g_s560_560: set_0 ).

tff(g_s561_561_type,type,
    g_s561_561: set_0 ).

tff(g_s562_562_type,type,
    g_s562_562: set_0 ).

tff(g_s563_563_type,type,
    g_s563_563: set_0 ).

tff(g_s564_564_type,type,
    g_s564_564: set_0 ).

tff(g_s565_565_type,type,
    g_s565_565: set_0 ).

tff(g_s566_566_type,type,
    g_s566_566: set_0 ).

tff(g_s567_567_type,type,
    g_s567_567: set_0 ).

tff(g_s568_568_type,type,
    g_s568_568: set_0 ).

tff(g_s569_569_type,type,
    g_s569_569: set_0 ).

tff(g_s56_56_type,type,
    g_s56_56: set_0 ).

tff(g_s570_570_type,type,
    g_s570_570: set_0 ).

tff(g_s571_571_type,type,
    g_s571_571: set_0 ).

tff(g_s572_572_type,type,
    g_s572_572: set_0 ).

tff(g_s573_573_type,type,
    g_s573_573: set_0 ).

tff(g_s574_574_type,type,
    g_s574_574: set_0 ).

tff(g_s575_575_type,type,
    g_s575_575: set_0 ).

tff(g_s576_576_type,type,
    g_s576_576: set_0 ).

tff(g_s577_577_type,type,
    g_s577_577: set_0 ).

tff(g_s578_578_type,type,
    g_s578_578: set_0 ).

tff(g_s579_579_type,type,
    g_s579_579: set_0 ).

tff(g_s57_57_type,type,
    g_s57_57: $int ).

tff(g_s580_580_type,type,
    g_s580_580: set_0 ).

tff(g_s581_581_type,type,
    g_s581_581: set_0 ).

tff(g_s582_582_type,type,
    g_s582_582: set_0 ).

tff(g_s583_583_type,type,
    g_s583_583: set_0 ).

tff(g_s584_584_type,type,
    g_s584_584: set_0 ).

tff(g_s585_585_type,type,
    g_s585_585: set_0 ).

tff(g_s586_586_type,type,
    g_s586_586: $int ).

tff(g_s587_587_type,type,
    g_s587_587: $int ).

tff(g_s588_588_type,type,
    g_s588_588: $int ).

tff(g_s589_589_type,type,
    g_s589_589: $int ).

tff(g_s58_58_type,type,
    g_s58_58: $int ).

tff(g_s590_590_type,type,
    g_s590_590: $int ).

tff(g_s591_591_type,type,
    g_s591_591: $int ).

tff(g_s592_592_type,type,
    g_s592_592: $int ).

tff(g_s593_593_type,type,
    g_s593_593: $int ).

tff(g_s594_594_type,type,
    g_s594_594: $int ).

tff(g_s595_595_type,type,
    g_s595_595: $int ).

tff(g_s596_596_type,type,
    g_s596_596: $int ).

tff(g_s597_597_type,type,
    g_s597_597: $int ).

tff(g_s598_598_type,type,
    g_s598_598: $int ).

tff(g_s599_599_type,type,
    g_s599_599: $int ).

tff(g_s59_59_type,type,
    g_s59_59: $int ).

tff(g_s5_5_type,type,
    g_s5_5: $int ).

tff(g_s600_600_type,type,
    g_s600_600: $int ).

tff(g_s601_601_type,type,
    g_s601_601: $int ).

tff(g_s602_602_type,type,
    g_s602_602: $int ).

tff(g_s603_603_type,type,
    g_s603_603: $int ).

tff(g_s604_604_type,type,
    g_s604_604: $int ).

tff(g_s605_605_type,type,
    g_s605_605: $int ).

tff(g_s606_606_type,type,
    g_s606_606: $int ).

tff(g_s607_607_type,type,
    g_s607_607: $int ).

tff(g_s608_608_type,type,
    g_s608_608: $int ).

tff(g_s609_609_type,type,
    g_s609_609: $int ).

tff(g_s60_60_type,type,
    g_s60_60: $int ).

tff(g_s610_610_type,type,
    g_s610_610: $int ).

tff(g_s611_611_type,type,
    g_s611_611: $int ).

tff(g_s612_612_type,type,
    g_s612_612: $int ).

tff(g_s613_613_type,type,
    g_s613_613: $int ).

tff(g_s614_614_type,type,
    g_s614_614: $int ).

tff(g_s615_615_type,type,
    g_s615_615: $int ).

tff(g_s616_616_type,type,
    g_s616_616: $int ).

tff(g_s617_617_type,type,
    g_s617_617: $int ).

tff(g_s618_618_type,type,
    g_s618_618: $int ).

tff(g_s619_619_type,type,
    g_s619_619: $int ).

tff(g_s61_61_type,type,
    g_s61_61: $int ).

tff(g_s620_620_type,type,
    g_s620_620: $int ).

tff(g_s621_621_type,type,
    g_s621_621: $int ).

tff(g_s622_622_type,type,
    g_s622_622: $int ).

tff(g_s623_623_type,type,
    g_s623_623: $int ).

tff(g_s624_624_type,type,
    g_s624_624: $int ).

tff(g_s625_625_type,type,
    g_s625_625: $int ).

tff(g_s626_626_type,type,
    g_s626_626: $int ).

tff(g_s627_627_type,type,
    g_s627_627: $int ).

tff(g_s628_628_type,type,
    g_s628_628: $int ).

tff(g_s629_629_type,type,
    g_s629_629: $int ).

tff(g_s62_62_type,type,
    g_s62_62: $int ).

tff(g_s630_630_type,type,
    g_s630_630: $int ).

tff(g_s631_631_type,type,
    g_s631_631: $int ).

tff(g_s632_632_type,type,
    g_s632_632: $int ).

tff(g_s633_633_type,type,
    g_s633_633: set_0 ).

tff(g_s634_634_type,type,
    g_s634_634: $int ).

tff(g_s635_635_type,type,
    g_s635_635: set_0 ).

tff(g_s636_636_type,type,
    g_s636_636: $int ).

tff(g_s637_637_type,type,
    g_s637_637: $int ).

tff(g_s638_638_type,type,
    g_s638_638: set_0 ).

tff(g_s639_639_type,type,
    g_s639_639: $int ).

tff(g_s63_63_type,type,
    g_s63_63: $int ).

tff(g_s640_640_type,type,
    g_s640_640: set_0 ).

tff(g_s641_641_type,type,
    g_s641_641: $int ).

tff(g_s642_642_type,type,
    g_s642_642: $int ).

tff(g_s643_643_type,type,
    g_s643_643: $int ).

tff(g_s644_644_type,type,
    g_s644_644: set_0 ).

tff(g_s645_645_type,type,
    g_s645_645: set_0 ).

tff(g_s646_646_type,type,
    g_s646_646: set_0 ).

tff(g_s647_647_type,type,
    g_s647_647: $int ).

tff(g_s648_648_type,type,
    g_s648_648: set_0 ).

tff(g_s649_649_type,type,
    g_s649_649: set_0 ).

tff(g_s64_64_type,type,
    g_s64_64: $int ).

tff(g_s650_650_type,type,
    g_s650_650: $int ).

tff(g_s651_651_type,type,
    g_s651_651: $int ).

tff(g_s652_652_type,type,
    g_s652_652: set_0 ).

tff(g_s653_653_type,type,
    g_s653_653: set_0 ).

tff(g_s654_654_type,type,
    g_s654_654: $int ).

tff(g_s655_655_type,type,
    g_s655_655: set_0 ).

tff(g_s656_656_type,type,
    g_s656_656: set_0 ).

tff(g_s657_657_type,type,
    g_s657_657: set_0 ).

tff(g_s658_658_type,type,
    g_s658_658: set_0 ).

tff(g_s659_659_type,type,
    g_s659_659: set_0 ).

tff(g_s65_65_type,type,
    g_s65_65: $int ).

tff(g_s660_660_type,type,
    g_s660_660: $int ).

tff(g_s661_661_type,type,
    g_s661_661: set_0 ).

tff(g_s662_662_type,type,
    g_s662_662: $int ).

tff(g_s663_663_type,type,
    g_s663_663: set_0 ).

tff(g_s664_664_type,type,
    g_s664_664: $int ).

tff(g_s665_665_type,type,
    g_s665_665: set_0 ).

tff(g_s666_666_type,type,
    g_s666_666: $int ).

tff(g_s667_667_type,type,
    g_s667_667: set_0 ).

tff(g_s668_668_type,type,
    g_s668_668: set_0 ).

tff(g_s669_669_type,type,
    g_s669_669: set_0 ).

tff(g_s66_66_type,type,
    g_s66_66: $int ).

tff(g_s670_670_type,type,
    g_s670_670: $int ).

tff(g_s671_671_type,type,
    g_s671_671: $int ).

tff(g_s672_672_type,type,
    g_s672_672: $int ).

tff(g_s673_673_type,type,
    g_s673_673: $int ).

tff(g_s674_674_type,type,
    g_s674_674: $int ).

tff(g_s675_675_type,type,
    g_s675_675: $int ).

tff(g_s676_676_type,type,
    g_s676_676: $int ).

tff(g_s677_677_type,type,
    g_s677_677: $int ).

tff(g_s678_678_type,type,
    g_s678_678: $int ).

tff(g_s679_679_type,type,
    g_s679_679: $int ).

tff(g_s67_67_type,type,
    g_s67_67: $int ).

tff(g_s680_680_type,type,
    g_s680_680: $int ).

tff(g_s681_681_type,type,
    g_s681_681: $int ).

tff(g_s682_682_type,type,
    g_s682_682: $int ).

tff(g_s683_683_type,type,
    g_s683_683: $int ).

tff(g_s684_684_type,type,
    g_s684_684: $int ).

tff(g_s685_685_type,type,
    g_s685_685: $int ).

tff(g_s686_686_type,type,
    g_s686_686: $int ).

tff(g_s687_687_type,type,
    g_s687_687: $int ).

tff(g_s688_688_type,type,
    g_s688_688: $int ).

tff(g_s689_689_type,type,
    g_s689_689: $int ).

tff(g_s68_68_type,type,
    g_s68_68: $int ).

tff(g_s690_690_type,type,
    g_s690_690: $int ).

tff(g_s691_691_type,type,
    g_s691_691: $int ).

tff(g_s692_692_type,type,
    g_s692_692: $int ).

tff(g_s693_693_type,type,
    g_s693_693: $int ).

tff(g_s694_694_type,type,
    g_s694_694: $int ).

tff(g_s695_695_type,type,
    g_s695_695: $int ).

tff(g_s696_696_type,type,
    g_s696_696: $int ).

tff(g_s697_697_type,type,
    g_s697_697: $int ).

tff(g_s698_698_type,type,
    g_s698_698: $int ).

tff(g_s699_699_type,type,
    g_s699_699: $int ).

tff(g_s69_69_type,type,
    g_s69_69: $int ).

tff(g_s6_6_type,type,
    g_s6_6: $int ).

tff(g_s700_700_type,type,
    g_s700_700: $int ).

tff(g_s701_701_type,type,
    g_s701_701: $int ).

tff(g_s702_702_type,type,
    g_s702_702: $int ).

tff(g_s703_703_type,type,
    g_s703_703: $int ).

tff(g_s704_704_type,type,
    g_s704_704: $int ).

tff(g_s705_705_type,type,
    g_s705_705: $int ).

tff(g_s706_706_type,type,
    g_s706_706: $int ).

tff(g_s707_707_type,type,
    g_s707_707: $int ).

tff(g_s708_708_type,type,
    g_s708_708: $int ).

tff(g_s709_709_type,type,
    g_s709_709: $int ).

tff(g_s70_70_type,type,
    g_s70_70: $int ).

tff(g_s710_710_type,type,
    g_s710_710: $int ).

tff(g_s711_711_type,type,
    g_s711_711: $int ).

tff(g_s712_712_type,type,
    g_s712_712: $int ).

tff(g_s713_713_type,type,
    g_s713_713: $int ).

tff(g_s714_714_type,type,
    g_s714_714: $int ).

tff(g_s715_715_type,type,
    g_s715_715: $int ).

tff(g_s716_716_type,type,
    g_s716_716: $int ).

tff(g_s717_717_type,type,
    g_s717_717: $int ).

tff(g_s718_718_type,type,
    g_s718_718: $int ).

tff(g_s719_719_type,type,
    g_s719_719: $int ).

tff(g_s71_71_type,type,
    g_s71_71: $int ).

tff(g_s720_720_type,type,
    g_s720_720: $int ).

tff(g_s721_721_type,type,
    g_s721_721: $int ).

tff(g_s722_722_type,type,
    g_s722_722: $int ).

tff(g_s723_723_type,type,
    g_s723_723: $int ).

tff(g_s724_724_type,type,
    g_s724_724: set_3 ).

tff(g_s725_725_type,type,
    g_s725_725: set_3 ).

tff(g_s726_726_type,type,
    g_s726_726: set_0 ).

tff(g_s727_727_type,type,
    g_s727_727: set_0 ).

tff(g_s728_728_type,type,
    g_s728_728: set_0 ).

tff(g_s729_729_type,type,
    g_s729_729: set_0 ).

tff(g_s72_72_type,type,
    g_s72_72: set_0 ).

tff(g_s730_730_type,type,
    g_s730_730: set_0 ).

tff(g_s731_731_type,type,
    g_s731_731: set_0 ).

tff(g_s732_732_type,type,
    g_s732_732: set_4 ).

tff(g_s734_733_type,type,
    g_s734_733: set_4 ).

tff(g_s735_734_type,type,
    g_s735_734: set_4 ).

tff(g_s736_735_type,type,
    g_s736_735: set_4 ).

tff(g_s737_736_type,type,
    g_s737_736: set_5 ).

tff(g_s73_73_type,type,
    g_s73_73: $int ).

tff(g_s740_737_type,type,
    g_s740_737: set_5 ).

tff(g_s741_738_type,type,
    g_s741_738: set_5 ).

tff(g_s742_739_type,type,
    g_s742_739: set_5 ).

tff(g_s743_740_type,type,
    g_s743_740: set_5 ).

tff(g_s744_741_type,type,
    g_s744_741: set_5 ).

tff(g_s745_742_type,type,
    g_s745_742: set_6 ).

tff(g_s748_743_type,type,
    g_s748_743: set_6 ).

tff(g_s749_744_type,type,
    g_s749_744: set_6 ).

tff(g_s74_74_type,type,
    g_s74_74: $int ).

tff(g_s750_745_type,type,
    g_s750_745: set_6 ).

tff(g_s751_746_type,type,
    g_s751_746: set_6 ).

tff(g_s752_747_type,type,
    g_s752_747: set_6 ).

tff(g_s753_748_type,type,
    g_s753_748: set_6 ).

tff(g_s754_749_type,type,
    g_s754_749: set_6 ).

tff(g_s755_750_type,type,
    g_s755_750: set_6 ).

tff(g_s756_751_type,type,
    g_s756_751: set_6 ).

tff(g_s757_752_type,type,
    g_s757_752: set_6 ).

tff(g_s758_753_type,type,
    g_s758_753: set_6 ).

tff(g_s759_754_type,type,
    g_s759_754: set_6 ).

tff(g_s75_75_type,type,
    g_s75_75: $int ).

tff(g_s760_755_type,type,
    g_s760_755: set_6 ).

tff(g_s761_756_type,type,
    g_s761_756: set_4 ).

tff(g_s762_757_type,type,
    g_s762_757: set_4 ).

tff(g_s763_758_type,type,
    g_s763_758: set_4 ).

tff(g_s764_759_type,type,
    g_s764_759: set_4 ).

tff(g_s765_760_type,type,
    g_s765_760: set_4 ).

tff(g_s766_761_type,type,
    g_s766_761: set_6 ).

tff(g_s769_762_type,type,
    g_s769_762: set_6 ).

tff(g_s76_76_type,type,
    g_s76_76: $int ).

tff(g_s770_763_type,type,
    g_s770_763: set_2 ).

tff(g_s772_764_type,type,
    g_s772_764: set_2 ).

tff(g_s773_765_type,type,
    g_s773_765: set_2 ).

tff(g_s775_766_type,type,
    g_s775_766: set_4 ).

tff(g_s776_767_type,type,
    g_s776_767: $int ).

tff(g_s777_768_type,type,
    g_s777_768: $int ).

tff(g_s778_769_type,type,
    g_s778_769: $int ).

tff(g_s779_770_type,type,
    g_s779_770: $o ).

tff(g_s77_77_type,type,
    g_s77_77: $int ).

tff(g_s780_771_type,type,
    g_s780_771: $o ).

tff(g_s781_772_type,type,
    g_s781_772: $int ).

tff(g_s782_773_type,type,
    g_s782_773: $int ).

tff(g_s783_774_type,type,
    g_s783_774: $int ).

tff(g_s784_775_type,type,
    g_s784_775: $int ).

tff(g_s785_776_type,type,
    g_s785_776: $int ).

tff(g_s786_777_type,type,
    g_s786_777: $int ).

tff(g_s787_778_type,type,
    g_s787_778: $int ).

tff(g_s788_779_type,type,
    g_s788_779: $int ).

tff(g_s789_780_type,type,
    g_s789_780: $int ).

tff(g_s78_78_type,type,
    g_s78_78: $int ).

tff(g_s790_781_type,type,
    g_s790_781: $int ).

tff(g_s791_782_type,type,
    g_s791_782: $int ).

tff(g_s792_783_type,type,
    g_s792_783: $int ).

tff(g_s793_784_type,type,
    g_s793_784: $int ).

tff(g_s794_785_type,type,
    g_s794_785: $int ).

tff(g_s795_786_type,type,
    g_s795_786: $int ).

tff(g_s796_787_type,type,
    g_s796_787: $int ).

tff(g_s797_788_type,type,
    g_s797_788: $int ).

tff(g_s798_789_type,type,
    g_s798_789: $int ).

tff(g_s799_790_type,type,
    g_s799_790: $int ).

tff(g_s79_79_type,type,
    g_s79_79: $int ).

tff(g_s7_7_type,type,
    g_s7_7: $int ).

tff(g_s800_791_type,type,
    g_s800_791: $int ).

tff(g_s801_792_type,type,
    g_s801_792: $int ).

tff(g_s802_793_type,type,
    g_s802_793: $int ).

tff(g_s803_794_type,type,
    g_s803_794: $int ).

tff(g_s804_795_type,type,
    g_s804_795: $o ).

tff(g_s805_796_type,type,
    g_s805_796: $int ).

tff(g_s806_797_type,type,
    g_s806_797: $int ).

tff(g_s807_798_type,type,
    g_s807_798: $int ).

tff(g_s808_799_type,type,
    g_s808_799: $int ).

tff(g_s809_800_type,type,
    g_s809_800: $int ).

tff(g_s80_80_type,type,
    g_s80_80: $int ).

tff(g_s810_801_type,type,
    g_s810_801: $int ).

tff(g_s811_802_type,type,
    g_s811_802: $int ).

tff(g_s812_803_type,type,
    g_s812_803: $int ).

tff(g_s813_804_type,type,
    g_s813_804: $int ).

tff(g_s814_805_type,type,
    g_s814_805: $int ).

tff(g_s815_806_type,type,
    g_s815_806: $int ).

tff(g_s816_807_type,type,
    g_s816_807: $int ).

tff(g_s817_808_type,type,
    g_s817_808: $int ).

tff(g_s818_809_type,type,
    g_s818_809: $int ).

tff(g_s819_810_type,type,
    g_s819_810: $int ).

tff(g_s81_81_type,type,
    g_s81_81: $int ).

tff(g_s820_811_type,type,
    g_s820_811: $int ).

tff(g_s821_812_type,type,
    g_s821_812: $int ).

tff(g_s822_813_type,type,
    g_s822_813: $int ).

tff(g_s823_814_type,type,
    g_s823_814: $int ).

tff(g_s824_815_type,type,
    g_s824_815: $int ).

tff(g_s825_816_type,type,
    g_s825_816: $int ).

tff(g_s826_817_type,type,
    g_s826_817: $int ).

tff(g_s827_818_type,type,
    g_s827_818: $int ).

tff(g_s828_819_type,type,
    g_s828_819: $int ).

tff(g_s829_820_type,type,
    g_s829_820: $int ).

tff(g_s82_82_type,type,
    g_s82_82: $int ).

tff(g_s830_821_type,type,
    g_s830_821: $int ).

tff(g_s831_822_type,type,
    g_s831_822: $int ).

tff(g_s832_823_type,type,
    g_s832_823: $int ).

tff(g_s833_824_type,type,
    g_s833_824: set_2 ).

tff(g_s835_825_type,type,
    g_s835_825: set_7 ).

tff(g_s836_826_type,type,
    g_s836_826: $int ).

tff(g_s837_827_type,type,
    g_s837_827: $o ).

tff(g_s838_828_type,type,
    g_s838_828: $int ).

tff(g_s839_829_type,type,
    g_s839_829: $int ).

tff(g_s83_83_type,type,
    g_s83_83: $int ).

tff(g_s840_830_type,type,
    g_s840_830: $int ).

tff(g_s841_831_type,type,
    g_s841_831: $int ).

tff(g_s842_832_type,type,
    g_s842_832: set_2 ).

tff(g_s843_833_type,type,
    g_s843_833: set_8 ).

tff(g_s844_834_type,type,
    g_s844_834: set_8 ).

tff(g_s845_835_type,type,
    g_s845_835: set_8 ).

tff(g_s846_836_type,type,
    g_s846_836: set_2 ).

tff(g_s847_837_type,type,
    g_s847_837: set_2 ).

tff(g_s848_838_type,type,
    g_s848_838: set_2 ).

tff(g_s849_839_type,type,
    g_s849_839: set_2 ).

tff(g_s84_84_type,type,
    g_s84_84: $int ).

tff(g_s850_840_type,type,
    g_s850_840: set_2 ).

tff(g_s851_841_type,type,
    g_s851_841: set_2 ).

tff(g_s852_842_type,type,
    g_s852_842: set_2 ).

tff(g_s853_843_type,type,
    g_s853_843: set_2 ).

tff(g_s854_844_type,type,
    g_s854_844: set_2 ).

tff(g_s855_845_type,type,
    g_s855_845: set_2 ).

tff(g_s856_846_type,type,
    g_s856_846: set_2 ).

tff(g_s857_847_type,type,
    g_s857_847: set_2 ).

tff(g_s858_848_type,type,
    g_s858_848: set_2 ).

tff(g_s859_849_type,type,
    g_s859_849: set_2 ).

tff(g_s85_85_type,type,
    g_s85_85: $int ).

tff(g_s860_850_type,type,
    g_s860_850: set_2 ).

tff(g_s861_851_type,type,
    g_s861_851: set_2 ).

tff(g_s862_852_type,type,
    g_s862_852: set_2 ).

tff(g_s863_853_type,type,
    g_s863_853: set_2 ).

tff(g_s864_854_type,type,
    g_s864_854: set_2 ).

tff(g_s865_855_type,type,
    g_s865_855: set_2 ).

tff(g_s866_856_type,type,
    g_s866_856: set_2 ).

tff(g_s867_857_type,type,
    g_s867_857: set_2 ).

tff(g_s868_858_type,type,
    g_s868_858: set_2 ).

tff(g_s869_859_type,type,
    g_s869_859: set_2 ).

tff(g_s86_86_type,type,
    g_s86_86: $int ).

tff(g_s870_860_type,type,
    g_s870_860: set_2 ).

tff(g_s871_861_type,type,
    g_s871_861: set_2 ).

tff(g_s872_862_type,type,
    g_s872_862: set_2 ).

tff(g_s873_863_type,type,
    g_s873_863: set_9 ).

tff(g_s874_864_type,type,
    g_s874_864: set_9 ).

tff(g_s875_865_type,type,
    g_s875_865: set_2 ).

tff(g_s876_866_type,type,
    g_s876_866: set_2 ).

tff(g_s877_867_type,type,
    g_s877_867: set_2 ).

tff(g_s878_868_type,type,
    g_s878_868: $int ).

tff(g_s879_869_type,type,
    g_s879_869: $int ).

tff(g_s87_87_type,type,
    g_s87_87: $int ).

tff(g_s880_870_type,type,
    g_s880_870: set_2 ).

tff(g_s881_871_type,type,
    g_s881_871: set_2 ).

tff(g_s882_872_type,type,
    g_s882_872: set_2 ).

tff(g_s88_88_type,type,
    g_s88_88: $int ).

tff(g_s898_879_type,type,
    g_s898_879: set_0 ).

tff(g_s899_880_type,type,
    g_s899_880: $int ).

tff(g_s89_89_type,type,
    g_s89_89: $int ).

tff(g_s8_8_type,type,
    g_s8_8: set_0 ).

tff(g_s900_881_type,type,
    g_s900_881: $int ).

tff(g_s901_882_type,type,
    g_s901_882: $int ).

tff(g_s902_883_type,type,
    g_s902_883: $int ).

tff(g_s903_884_type,type,
    g_s903_884: $int ).

tff(g_s904_885_type,type,
    g_s904_885: set_2 ).

tff(g_s905_886_type,type,
    g_s905_886: set_2 ).

tff(g_s906_887_type,type,
    g_s906_887: set_2 ).

tff(g_s907_888_type,type,
    g_s907_888: set_2 ).

tff(g_s908_889_type,type,
    g_s908_889: set_2 ).

tff(g_s909_890_type,type,
    g_s909_890: set_2 ).

tff(g_s90_90_type,type,
    g_s90_90: $int ).

tff(g_s910_907_type,type,
    g_s910_907: $o ).

tff(g_s911_908_type,type,
    g_s911_908: $o ).

tff(g_s912_909_type,type,
    g_s912_909: $o ).

tff(g_s913_910_type,type,
    g_s913_910: $o ).

tff(g_s914_911_type,type,
    g_s914_911: $o ).

tff(g_s915_912_type,type,
    g_s915_912: $o ).

tff(g_s916_913_type,type,
    g_s916_913: $o ).

tff(g_s917_914_type,type,
    g_s917_914: $o ).

tff(g_s918_915_type,type,
    g_s918_915: $o ).

tff(g_s919_916_type,type,
    g_s919_916: $o ).

tff(g_s91_91_type,type,
    g_s91_91: $int ).

tff(g_s920_917_type,type,
    g_s920_917: $o ).

tff(g_s921_918_type,type,
    g_s921_918: $o ).

tff(g_s922_919_type,type,
    g_s922_919: $o ).

tff(g_s923_920_type,type,
    g_s923_920: $o ).

tff(g_s924_921_type,type,
    g_s924_921: $o ).

tff(g_s925_922_type,type,
    g_s925_922: $o ).

tff(g_s926_923_type,type,
    g_s926_923: $o ).

tff(g_s927_924_type,type,
    g_s927_924: $int ).

tff(g_s928_925_type,type,
    g_s928_925: $int ).

tff(g_s929_926_type,type,
    g_s929_926: set_0 ).

tff(g_s92_92_type,type,
    g_s92_92: $int ).

tff(g_s930_927_type,type,
    g_s930_927: $o ).

tff(g_s931_928_type,type,
    g_s931_928: $o ).

tff(g_s932_929_type,type,
    g_s932_929: $o ).

tff(g_s933_930_type,type,
    g_s933_930: $o ).

tff(g_s934_931_type,type,
    g_s934_931: $o ).

tff(g_s935_932_type,type,
    g_s935_932: $o ).

tff(g_s936_933_type,type,
    g_s936_933: $int ).

tff(g_s937_934_type,type,
    g_s937_934: $int ).

tff(g_s938_935_type,type,
    g_s938_935: $o ).

tff(g_s939_936_type,type,
    g_s939_936: $o ).

tff(g_s93_93_type,type,
    g_s93_93: $int ).

tff(g_s940_937_type,type,
    g_s940_937: $o ).

tff(g_s941_938_type,type,
    g_s941_938: $o ).

tff(g_s942_939_type,type,
    g_s942_939: $o ).

tff(g_s943_940_type,type,
    g_s943_940: $o ).

tff(g_s944_941_type,type,
    g_s944_941: $o ).

tff(g_s945_942_type,type,
    g_s945_942: $o ).

tff(g_s946_943_type,type,
    g_s946_943: $o ).

tff(g_s947_944_type,type,
    g_s947_944: $o ).

tff(g_s948_945_type,type,
    g_s948_945: $o ).

tff(g_s949_946_type,type,
    g_s949_946: $o ).

tff(g_s94_94_type,type,
    g_s94_94: $int ).

tff(g_s950_947_type,type,
    g_s950_947: $o ).

tff(g_s951_948_type,type,
    g_s951_948: $o ).

tff(g_s952_949_type,type,
    g_s952_949: $o ).

tff(g_s953_950_type,type,
    g_s953_950: $o ).

tff(g_s954_951_type,type,
    g_s954_951: $o ).

tff(g_s955_952_type,type,
    g_s955_952: $o ).

tff(g_s956_953_type,type,
    g_s956_953: $o ).

tff(g_s957_954_type,type,
    g_s957_954: $o ).

tff(g_s958_955_type,type,
    g_s958_955: $o ).

tff(g_s959_956_type,type,
    g_s959_956: $o ).

tff(g_s95_95_type,type,
    g_s95_95: $int ).

tff(g_s960_957_type,type,
    g_s960_957: $o ).

tff(g_s961_958_type,type,
    g_s961_958: $o ).

tff(g_s962_959_type,type,
    g_s962_959: $int ).

tff(g_s963_960_type,type,
    g_s963_960: $o ).

tff(g_s964_961_type,type,
    g_s964_961: $o ).

tff(g_s965_962_type,type,
    g_s965_962: $o ).

tff(g_s966_963_type,type,
    g_s966_963: $o ).

tff(g_s967_964_type,type,
    g_s967_964: $o ).

tff(g_s968_965_type,type,
    g_s968_965: $o ).

tff(g_s969_966_type,type,
    g_s969_966: $o ).

tff(g_s96_96_type,type,
    g_s96_96: $int ).

tff(g_s970_967_type,type,
    g_s970_967: $o ).

tff(g_s971_968_type,type,
    g_s971_968: $o ).

tff(g_s972_969_type,type,
    g_s972_969: $o ).

tff(g_s973_970_type,type,
    g_s973_970: $o ).

tff(g_s974_971_type,type,
    g_s974_971: $o ).

tff(g_s975_972_type,type,
    g_s975_972: $o ).

tff(g_s976_973_type,type,
    g_s976_973: $o ).

tff(g_s977_974_type,type,
    g_s977_974: $o ).

tff(g_s978_975_type,type,
    g_s978_975: $o ).

tff(g_s979_976_type,type,
    g_s979_976: $o ).

tff(g_s97_97_type,type,
    g_s97_97: $int ).

tff(g_s980_977_type,type,
    g_s980_977: $o ).

tff(g_s981_978_type,type,
    g_s981_978: $o ).

tff(g_s982_979_type,type,
    g_s982_979: $o ).

tff(g_s983_980_type,type,
    g_s983_980: $o ).

tff(g_s984_981_type,type,
    g_s984_981: $o ).

tff(g_s985_982_type,type,
    g_s985_982: $o ).

tff(g_s986_983_type,type,
    g_s986_983: $o ).

tff(g_s987_984_type,type,
    g_s987_984: $o ).

tff(g_s988_985_type,type,
    g_s988_985: $o ).

tff(g_s989_986_type,type,
    g_s989_986: $o ).

tff(g_s98_98_type,type,
    g_s98_98: $int ).

tff(g_s990_987_type,type,
    g_s990_987: $o ).

tff(g_s991_988_type,type,
    g_s991_988: $o ).

tff(g_s992_989_type,type,
    g_s992_989: $o ).

tff(g_s993_990_type,type,
    g_s993_990: $o ).

tff(g_s994_991_type,type,
    g_s994_991: $o ).

tff(g_s995_992_type,type,
    g_s995_992: $o ).

tff(g_s996_993_type,type,
    g_s996_993: $o ).

tff(g_s997_994_type,type,
    g_s997_994: $o ).

tff(g_s998_995_type,type,
    g_s998_995: $o ).

tff(g_s999_996_type,type,
    g_s999_996: $o ).

tff(g_s99_99_type,type,
    g_s99_99: $int ).

tff(g_s9_9_type,type,
    g_s9_9: $int ).

tff(mem10_type,type,
    mem10: ( $int * set_2 * set_10 ) > $o ).

tff(mem11_type,type,
    mem11: ( $int * set_7 * set_11 ) > $o ).

tff(mem2_type,type,
    mem2: ( $int * $int * set_2 ) > $o ).

tff(mem3_type,type,
    mem3: ( $o * set_3 ) > $o ).

tff(mem4_type,type,
    mem4: ( $o * $o * set_4 ) > $o ).

tff(mem5_type,type,
    mem5: ( $o * $o * $o * set_5 ) > $o ).

tff(mem6_type,type,
    mem6: ( $int * $int * $o * set_6 ) > $o ).

tff(mem7_type,type,
    mem7: ( $int * $o * set_7 ) > $o ).

tff(mem8_type,type,
    mem8: ( $int * $int * $int * set_8 ) > $o ).

tff(mem9_type,type,
    mem9: ( $int * $int * set_0 * set_9 ) > $o ).

tff(prod_0_type,type,
    prod_0: $tType ).

tff(prod_0_empty,type,
    prod_0_empty: prod_0 ).

tff(prod_0_insert,type,
    prod_0: ( $int * $int ) > prod_0 ).

tff(prod_0_in,type,
    prod_0_in: ( $int * $int * prod_0 ) > $o ).

tff(prod_1_type,type,
    prod_1: $tType ).

tff(prod_1_empty,type,
    prod_1_empty: prod_1 ).

tff(prod_1_insert,type,
    prod_1: ( $o * $o ) > prod_1 ).

tff(prod_1_in,type,
    prod_1_in: ( $o * $o * prod_1 ) > $o ).

tff(prod_2_type,type,
    prod_2: $tType ).

tff(prod_2_empty,type,
    prod_2_empty: prod_2 ).

tff(prod_2_insert,type,
    prod_2: ( prod_1 * $o ) > prod_2 ).

tff(prod_2_in,type,
    prod_2_in: ( prod_1 * $o * prod_2 ) > $o ).

tff(prod_3_type,type,
    prod_3: $tType ).

tff(prod_3_empty,type,
    prod_3_empty: prod_3 ).

tff(prod_3_insert,type,
    prod_3: ( prod_0 * $o ) > prod_3 ).

tff(prod_3_in,type,
    prod_3_in: ( prod_0 * $o * prod_3 ) > $o ).

tff(prod_4_type,type,
    prod_4: $tType ).

tff(prod_4_empty,type,
    prod_4_empty: prod_4 ).

tff(prod_4_insert,type,
    prod_4: ( $int * $o ) > prod_4 ).

tff(prod_4_in,type,
    prod_4_in: ( $int * $o * prod_4 ) > $o ).

tff(prod_5_type,type,
    prod_5: $tType ).

tff(prod_5_empty,type,
    prod_5_empty: prod_5 ).

tff(prod_5_insert,type,
    prod_5: ( prod_0 * $int ) > prod_5 ).

tff(prod_5_in,type,
    prod_5_in: ( prod_0 * $int * prod_5 ) > $o ).

tff(prod_6_type,type,
    prod_6: $tType ).

tff(prod_6_empty,type,
    prod_6_empty: prod_6 ).

tff(prod_6_insert,type,
    prod_6: ( prod_0 * set_0 ) > prod_6 ).

tff(prod_6_in,type,
    prod_6_in: ( prod_0 * set_0 * prod_6 ) > $o ).

tff(prod_7_type,type,
    prod_7: $tType ).

tff(prod_7_empty,type,
    prod_7_empty: prod_7 ).

tff(prod_7_insert,type,
    prod_7: ( $int * set_2 ) > prod_7 ).

tff(prod_7_in,type,
    prod_7_in: ( $int * set_2 * prod_7 ) > $o ).

tff(prod_8_type,type,
    prod_8: $tType ).

tff(prod_8_empty,type,
    prod_8_empty: prod_8 ).

tff(prod_8_insert,type,
    prod_8: ( $int * set_7 ) > prod_8 ).

tff(prod_8_in,type,
    prod_8_in: ( $int * set_7 * prod_8 ) > $o ).

tff(set_10_type,type,
    set_10: $tType ).

tff(set_10_empty,type,
    set_10_empty: set_10 ).

tff(set_10_insert,type,
    set_10: prod_7 > set_10 ).

tff(set_11_type,type,
    set_11: $tType ).

tff(set_11_empty,type,
    set_11_empty: set_11 ).

tff(set_11_insert,type,
    set_11: prod_8 > set_11 ).

tff(set_2_type,type,
    set_2: $tType ).

tff(set_2_empty,type,
    set_2_empty: set_2 ).

tff(set_2_insert,type,
    set_2: prod_0 > set_2 ).

tff(set_3_type,type,
    set_3: $tType ).

tff(set_3_empty,type,
    set_3_empty: set_3 ).

tff(set_3_insert,type,
    set_3: $o > set_3 ).

tff(set_4_type,type,
    set_4: $tType ).

tff(set_4_empty,type,
    set_4_empty: set_4 ).

tff(set_4_insert,type,
    set_4: prod_1 > set_4 ).

tff(set_5_type,type,
    set_5: $tType ).

tff(set_5_empty,type,
    set_5_empty: set_5 ).

tff(set_5_insert,type,
    set_5: prod_2 > set_5 ).

tff(set_6_type,type,
    set_6: $tType ).

tff(set_6_empty,type,
    set_6_empty: set_6 ).

tff(set_6_insert,type,
    set_6: prod_3 > set_6 ).

tff(set_7_type,type,
    set_7: $tType ).

tff(set_7_empty,type,
    set_7_empty: set_7 ).

tff(set_7_insert,type,
    set_7: prod_4 > set_7 ).

tff(set_8_type,type,
    set_8: $tType ).

tff(set_8_empty,type,
    set_8_empty: set_8 ).

tff(set_8_insert,type,
    set_8: prod_5 > set_8 ).

tff(set_9_type,type,
    set_9: $tType ).

tff(set_9_empty,type,
    set_9_empty: set_9 ).

tff(set_9_insert,type,
    set_9: prod_6 > set_9 ).

%----Defines
tff('Define:B definitions:0',axiom,
    ! [X_3: $int] :
      ( ( $greatereq(X_3,0)
        & $lesseq(X_3,max_int) )
    <=> ( $greatereq(X_3,0)
        & $lesseq(X_3,max_int) ) ) ).

tff('Define:B definitions:1',axiom,
    ! [X_4: $int] :
      ( ( $greatereq(X_4,min_int)
        & $lesseq(X_4,max_int) )
    <=> ( $greatereq(X_4,min_int)
        & $lesseq(X_4,max_int) ) ) ).

tff('Define:abs:0',axiom,
    ! [L_s883: $int] :
      ( mem0(L_s883,g_s534_534)
     => ! [X_2026: $int,X_2027: $int] :
          ( ( mem2(L_s883,X_2026,g_s1170_1168)
            & mem2(L_s883,X_2027,g_s848_838) )
         => $lesseq(X_2026,X_2027) ) ) ).

tff('Define:abs:1',axiom,
    ! [L_s883: $int] :
      ( mem0(L_s883,g_s534_534)
     => ! [X_2028: $int,X_2029: $int] :
          ( ( mem2(L_s883,X_2028,g_s1171_1169)
            & mem2(L_s883,X_2029,g_s848_838) )
         => $lesseq(X_2028,X_2029) ) ) ).

tff('Define:abs:10',axiom,
    ( ! [X_2059: set_2,X_2060: $int] :
        ( mem10(X_2060,X_2059,g_s1172_1170)
       => ( mem0(X_2060,g_s129_129)
          & ? [X_2061: set_2] :
              ( ! [X_2062: $int,X_2063: $int] :
                  ( mem2(X_2063,X_2062,X_2061)
                <=> mem2(X_2063,X_2062,X_2059) )
              & ! [X_2064: $int,X_2065: $int,X_2066: $int] :
                  ( ( mem2(X_2064,X_2065,X_2061)
                    & mem2(X_2064,X_2066,X_2061) )
                 => ( X_2065 = X_2066 ) )
              & ! [X_2067: $int] :
                  ( mem0(X_2067,g_s531_531)
                <=> ? [X_2068: $int] : mem2(X_2067,X_2068,X_2061) )
              & ! [X_2069: $int] :
                  ( ? [X_2070: $int] : mem2(X_2070,X_2069,X_2061)
                 => mem0(X_2069,g_s293_293) ) ) ) )
    & ! [X_2071: $int,X_2072: set_2,X_2073: set_2] :
        ( ( mem10(X_2071,X_2072,g_s1172_1170)
          & mem10(X_2071,X_2073,g_s1172_1170) )
       => ! [X_2074: $int,X_2075: $int] :
            ( mem2(X_2075,X_2074,X_2072)
          <=> mem2(X_2075,X_2074,X_2073) ) ) ) ).

tff('Define:abs:11',axiom,
    ( ! [X_2076: $int,X_2077: $int] :
        ( mem2(X_2077,X_2076,g_s1174_1171)
       => ( mem0(X_2077,g_s129_129)
          & mem0(X_2076,g_s293_293) ) )
    & ! [X_2078: $int,X_2079: $int,X_2080: $int] :
        ( ( mem2(X_2078,X_2079,g_s1174_1171)
          & mem2(X_2078,X_2080,g_s1174_1171) )
       => ( X_2079 = X_2080 ) ) ) ).

tff('Define:abs:12',axiom,
    ( ! [X_2081: set_7,X_2082: $int] :
        ( mem11(X_2082,X_2081,g_s1173_1173)
       => ( mem0(X_2082,g_s129_129)
          & ? [X_2083: set_7] :
              ( ! [X_2084: $o,X_2085: $int] :
                  ( mem7(X_2085,(X_2084),X_2083)
                <=> mem7(X_2085,(X_2084),X_2081) )
              & ! [X_2086: $int,X_2087: $o,X_2088: $o] :
                  ( ( mem7(X_2086,(X_2087),X_2083)
                    & mem7(X_2086,(X_2088),X_2083) )
                 => ( (X_2087)
                  <=> (X_2088) ) )
              & ! [X_2089: $int] :
                  ( mem0(X_2089,g_s531_531)
                <=> ? [X_2090: $o] : mem7(X_2089,(X_2090),X_2083) )
              & ! [X_2091: $o] :
                  ( ? [X_2092: $int] : mem7(X_2092,(X_2091),X_2083)
                 => mem3((X_2091),g_s332_332) ) ) ) )
    & ! [X_2093: $int,X_2094: set_7,X_2095: set_7] :
        ( ( mem11(X_2093,X_2094,g_s1173_1173)
          & mem11(X_2093,X_2095,g_s1173_1173) )
       => ! [X_2096: $o,X_2097: $int] :
            ( mem7(X_2097,(X_2096),X_2094)
          <=> mem7(X_2097,(X_2096),X_2095) ) ) ) ).

tff('Define:abs:13',axiom,
    mem0(g_s1180_1185,g_s301_301) ).

tff('Define:abs:14',axiom,
    mem0(g_s1181_1186,g_s301_301) ).

tff('Define:abs:15',axiom,
    mem3(g_s1182_1187,g_s332_332) ).

tff('Define:abs:16',axiom,
    mem0(g_s1183_1178,g_s301_301) ).

tff('Define:abs:17',axiom,
    mem0(g_s1184_1188,g_s133_133) ).

tff('Define:abs:18',axiom,
    mem0(g_s1185_1189,g_s301_301) ).

tff('Define:abs:19',axiom,
    mem3(g_s1186_1179,g_s332_332) ).

tff('Define:abs:2',axiom,
    ! [L_s883: $int,L_s834: $int] :
      ( ( mem0(L_s883,g_s534_534)
        & mem0(L_s834,g_s531_531) )
     => ! [X_2030: $int] :
          ( ! [X_2031: set_2] :
              ( mem10(L_s883,X_2031,g_s1172_1170)
             => mem2(L_s834,X_2030,X_2031) )
         => $lesseq(0,X_2030) ) ) ).

tff('Define:abs:20',axiom,
    mem0(g_s1187_1190,g_s640_640) ).

tff('Define:abs:21',axiom,
    mem3(g_s1188_1191,g_s332_332) ).

tff('Define:abs:22',axiom,
    ( ! [X_2098: $int,X_2099: $int] :
        ( mem2(X_2099,X_2098,g_s1177_1184)
       => ( mem0(X_2099,g_s531_531)
          & mem0(X_2098,g_s300_300) ) )
    & ! [X_2100: $int,X_2101: $int,X_2102: $int] :
        ( ( mem2(X_2100,X_2101,g_s1177_1184)
          & mem2(X_2100,X_2102,g_s1177_1184) )
       => ( X_2101 = X_2102 ) ) ) ).

tff('Define:abs:23',axiom,
    ( ! [X_2103: $o,X_2104: $int] :
        ( mem7(X_2104,(X_2103),g_s1176_1183)
       => ( mem0(X_2104,g_s531_531)
          & mem3((X_2103),g_s332_332) ) )
    & ! [X_2105: $int,X_2106: $o,X_2107: $o] :
        ( ( mem7(X_2105,(X_2106),g_s1176_1183)
          & mem7(X_2105,(X_2107),g_s1176_1183) )
       => ( (X_2106)
        <=> (X_2107) ) ) ) ).

tff('Define:abs:3',axiom,
    ! [L_s883: $int,L_s834: $int] :
      ( ( mem0(L_s883,g_s534_534)
        & mem0(L_s834,g_s531_531) )
     => ( ! [X_2032: set_7,X_2033: $o] :
            ( ( mem11(L_s883,X_2032,g_s1173_1173)
              & ( (X_2033)
              <=> $false ) )
           => mem7(L_s834,(X_2033),X_2032) )
       => ! [X_2034: set_2,X_2035: $int] :
            ( ( mem10(L_s883,X_2034,g_s1172_1170)
              & ( X_2035 = 0 ) )
           => mem2(L_s834,X_2035,X_2034) ) ) ) ).

tff('Define:abs:4',axiom,
    ! [L_s883: $int] :
      ( mem0(L_s883,g_s534_534)
     => ! [X_2036: $int] :
          ( mem2(L_s883,X_2036,g_s1174_1171)
         => $lesseq(0,X_2036) ) ) ).

tff('Define:abs:5',axiom,
    ! [L_s1175: $int] :
      ( mem0(L_s1175,g_s531_531)
     => ! [X_2037: $o] :
          ( ( (X_2037)
          <=> ! [X_2038: $int] :
                ( ( ( ( L_s1175 = g_s177_177 )
                    & ( X_2038 = 0 ) )
                  | ( ( L_s1175 = g_s178_178 )
                    & ( X_2038 = g_s284_284 ) )
                  | ( ( L_s1175 = g_s179_179 )
                    & ( X_2038 = g_s285_285 ) )
                  | ( ( L_s1175 = g_s180_180 )
                    & ( X_2038 = g_s286_286 ) )
                  | ( ( L_s1175 = g_s181_181 )
                    & ( X_2038 = g_s287_287 ) )
                  | ( ( L_s1175 = g_s182_182 )
                    & ( X_2038 = g_s288_288 ) )
                  | ( ( L_s1175 = g_s183_183 )
                    & ( X_2038 = g_s289_289 ) )
                  | ( ( L_s1175 = g_s184_184 )
                    & ( X_2038 = g_s290_290 ) )
                  | ( ( L_s1175 = g_s185_185 )
                    & ( X_2038 = g_s291_291 ) ) )
               => mem2(L_s1175,X_2038,g_s1177_1184) ) )
         => mem7(L_s1175,(X_2037),g_s1176_1183) ) ) ).

tff('Define:abs:6',axiom,
    ( ! [X_2039: $o,X_2040: $int] :
        ( mem7(X_2040,(X_2039),g_s1178_1176)
       => ( mem0(X_2040,g_s644_644)
          & mem3((X_2039),g_s332_332) ) )
    & ! [X_2041: $int,X_2042: $o,X_2043: $o] :
        ( ( mem7(X_2041,(X_2042),g_s1178_1176)
          & mem7(X_2041,(X_2043),g_s1178_1176) )
       => ( (X_2042)
        <=> (X_2043) ) ) ) ).

tff('Define:abs:7',axiom,
    ( ! [X_2044: $o,X_2045: $int] :
        ( mem7(X_2045,(X_2044),g_s1179_1167)
       => ( mem0(X_2045,g_s129_129)
          & mem3((X_2044),g_s332_332) ) )
    & ! [X_2046: $int,X_2047: $o,X_2048: $o] :
        ( ( mem7(X_2046,(X_2047),g_s1179_1167)
          & mem7(X_2046,(X_2048),g_s1179_1167) )
       => ( (X_2047)
        <=> (X_2048) ) ) ) ).

tff('Define:abs:8',axiom,
    ( ! [X_2049: $int,X_2050: $int] :
        ( mem2(X_2050,X_2049,g_s1170_1168)
       => ( mem0(X_2050,g_s129_129)
          & mem0(X_2049,g_s305_305) ) )
    & ! [X_2051: $int,X_2052: $int,X_2053: $int] :
        ( ( mem2(X_2051,X_2052,g_s1170_1168)
          & mem2(X_2051,X_2053,g_s1170_1168) )
       => ( X_2052 = X_2053 ) ) ) ).

tff('Define:abs:9',axiom,
    ( ! [X_2054: $int,X_2055: $int] :
        ( mem2(X_2055,X_2054,g_s1171_1169)
       => ( mem0(X_2055,g_s129_129)
          & mem0(X_2054,g_s305_305) ) )
    & ! [X_2056: $int,X_2057: $int,X_2058: $int] :
        ( ( mem2(X_2056,X_2057,g_s1171_1169)
          & mem2(X_2056,X_2058,g_s1171_1169) )
       => ( X_2057 = X_2058 ) ) ) ).

tff('Define:ctx:0',axiom,
    ( ! [X_5: $int] :
        ( mem0(X_5,g_s0_0)
      <=> ( ( X_5 = g_s1_1 )
          | ( X_5 = g_s2_2 )
          | ( X_5 = g_s3_3 ) ) )
    & ( g_s1_1 != g_s2_2 )
    & ( g_s2_2 != g_s3_3 ) ) ).

tff('Define:ctx:1',axiom,
    ( ! [X_6: $int] :
        ( mem0(X_6,g_s4_4)
      <=> ( ( X_6 = g_s5_5 )
          | ( X_6 = g_s6_6 )
          | ( X_6 = g_s7_7 ) ) )
    & ( g_s5_5 != g_s6_6 )
    & ( g_s6_6 != g_s7_7 ) ) ).

tff('Define:ctx:10',axiom,
    ( ! [X_15: $int] :
        ( mem0(X_15,g_s43_43)
      <=> ( ( X_15 = g_s44_44 )
          | ( X_15 = g_s45_45 )
          | ( X_15 = g_s46_46 ) ) )
    & ( g_s44_44 != g_s45_45 )
    & ( g_s45_45 != g_s46_46 ) ) ).

tff('Define:ctx:100',axiom,
    mem0(g_s264_264,g_s195_194) ).

tff('Define:ctx:1000',axiom,
    g_s722_722 = g_s413_413 ).

tff('Define:ctx:1001',axiom,
    g_s723_723 = g_s414_414 ).

tff('Define:ctx:1002',axiom,
    ! [X_581: $o] :
      ( mem3((X_581),g_s724_724)
    <=> $true ) ).

tff('Define:ctx:1003',axiom,
    ! [X_582: $o] :
      ( mem3((X_582),g_s725_725)
    <=> $true ) ).

tff('Define:ctx:1004',axiom,
    ! [X_583: $int] :
      ( mem0(X_583,g_s726_726)
    <=> ( $greatereq(X_583,min_int)
        & $lesseq(X_583,max_int) ) ) ).

tff('Define:ctx:1005',axiom,
    ! [X_584: $int] :
      ( mem0(X_584,g_s727_727)
    <=> ( $greatereq(X_584,min_int)
        & $lesseq(X_584,max_int) ) ) ).

tff('Define:ctx:1006',axiom,
    ! [X_585: $int] :
      ( mem0(X_585,g_s281_280)
    <=> ( $greatereq(X_585,min_int)
        & $lesseq(X_585,max_int) ) ) ).

tff('Define:ctx:1007',axiom,
    ! [X_586: $int] :
      ( mem0(X_586,g_s728_728)
    <=> mem0(X_586,g_s281_280) ) ).

tff('Define:ctx:1008',axiom,
    ! [X_587: $int] :
      ( mem0(X_587,g_s729_729)
    <=> mem0(X_587,g_s281_280) ) ).

tff('Define:ctx:1009',axiom,
    ! [X_588: $int] :
      ( mem0(X_588,g_s195_194)
    <=> mem0(X_588,g_s726_726) ) ).

tff('Define:ctx:101',axiom,
    mem0(g_s265_265,g_s195_194) ).

tff('Define:ctx:1010',axiom,
    ! [X_589: $o] :
      ( mem3((X_589),g_s192_191)
    <=> mem3((X_589),g_s724_724) ) ).

tff('Define:ctx:1011',axiom,
    ! [X_590: $int] :
      ( mem0(X_590,g_s730_730)
    <=> ( $greatereq(X_590,min_int)
        & $lesseq(X_590,max_int) ) ) ).

tff('Define:ctx:1012',axiom,
    ! [X_591: $int] :
      ( mem0(X_591,g_s731_731)
    <=> ( $greatereq(X_591,min_int)
        & $lesseq(X_591,max_int) ) ) ).

tff('Define:ctx:1013',axiom,
    g_s381_381 = 0 ).

tff('Define:ctx:1014',axiom,
    g_s383_383 = 1 ).

tff('Define:ctx:1015',axiom,
    g_s382_382 = 2 ).

tff('Define:ctx:1016',axiom,
    g_s384_384 = 3 ).

tff('Define:ctx:1017',axiom,
    g_s385_385 = 4 ).

tff('Define:ctx:1018',axiom,
    g_s411_411 = 5 ).

tff('Define:ctx:1019',axiom,
    g_s412_412 = 6 ).

tff('Define:ctx:102',axiom,
    mem0(g_s266_266,g_s195_194) ).

tff('Define:ctx:1020',axiom,
    g_s413_413 = 7 ).

tff('Define:ctx:1021',axiom,
    g_s414_414 = 8 ).

tff('Define:ctx:1022',axiom,
    g_s415_415 = 9 ).

tff('Define:ctx:1023',axiom,
    g_s416_416 = 10 ).

tff('Define:ctx:1024',axiom,
    g_s417_417 = 11 ).

tff('Define:ctx:1025',axiom,
    g_s418_418 = 12 ).

tff('Define:ctx:1026',axiom,
    g_s419_419 = 13 ).

tff('Define:ctx:1027',axiom,
    g_s420_420 = 14 ).

tff('Define:ctx:1028',axiom,
    g_s421_421 = 15 ).

tff('Define:ctx:1029',axiom,
    g_s422_422 = 16 ).

tff('Define:ctx:103',axiom,
    mem0(g_s267_267,g_s195_194) ).

tff('Define:ctx:1030',axiom,
    g_s423_423 = 17 ).

tff('Define:ctx:1031',axiom,
    g_s424_424 = 18 ).

tff('Define:ctx:1032',axiom,
    g_s425_425 = 19 ).

tff('Define:ctx:1033',axiom,
    g_s426_426 = 20 ).

tff('Define:ctx:1034',axiom,
    g_s427_427 = 21 ).

tff('Define:ctx:1035',axiom,
    g_s428_428 = 22 ).

tff('Define:ctx:1036',axiom,
    g_s429_429 = 23 ).

tff('Define:ctx:1037',axiom,
    g_s430_430 = 24 ).

tff('Define:ctx:1038',axiom,
    g_s471_471 = 25 ).

tff('Define:ctx:1039',axiom,
    g_s473_473 = 26 ).

tff('Define:ctx:104',axiom,
    mem0(g_s268_268,g_s195_194) ).

tff('Define:ctx:1040',axiom,
    g_s475_475 = 27 ).

tff('Define:ctx:1041',axiom,
    g_s477_477 = 28 ).

tff('Define:ctx:1042',axiom,
    g_s479_479 = 29 ).

tff('Define:ctx:1043',axiom,
    g_s481_481 = 30 ).

tff('Define:ctx:1044',axiom,
    g_s483_483 = 31 ).

tff('Define:ctx:1045',axiom,
    ? [X_592: set_4] :
      ( ! [X_593: $o,X_594: $o] :
          ( mem4((X_594),(X_593),X_592)
        <=> mem4((X_594),(X_593),g_s732_732) )
      & ! [X_595: $o,X_596: $o,X_597: $o] :
          ( ( mem4((X_595),(X_596),X_592)
            & mem4((X_595),(X_597),X_592) )
         => ( (X_596)
          <=> (X_597) ) )
      & ! [X_598: $o] :
          ( $true
        <=> ? [X_599: $o] : mem4((X_598),(X_599),X_592) )
      & ! [X_600: $o] :
          ( ? [X_601: $o] : mem4((X_601),(X_600),X_592)
         => $true ) ) ).

tff('Define:ctx:1046',axiom,
    ! [X_602: $o,X_603: $o] :
      ( mem4((X_603),(X_602),g_s732_732)
    <=> ( $true
        & ( (X_602)
        <=> ( (X_603)
          <=> $true ) ) ) ) ).

tff('Define:ctx:1047',axiom,
    ? [X_604: set_4] :
      ( ! [X_605: $o,X_606: $o] :
          ( mem4((X_606),(X_605),X_604)
        <=> mem4((X_606),(X_605),g_s734_733) )
      & ! [X_607: $o,X_608: $o,X_609: $o] :
          ( ( mem4((X_607),(X_608),X_604)
            & mem4((X_607),(X_609),X_604) )
         => ( (X_608)
          <=> (X_609) ) )
      & ! [X_610: $o] :
          ( $true
        <=> ? [X_611: $o] : mem4((X_610),(X_611),X_604) )
      & ! [X_612: $o] :
          ( ? [X_613: $o] : mem4((X_613),(X_612),X_604)
         => $true ) ) ).

tff('Define:ctx:1048',axiom,
    ! [X_614: $o,X_615: $o] :
      ( mem4((X_615),(X_614),g_s734_733)
    <=> mem4((X_615),(X_614),g_s732_732) ) ).

tff('Define:ctx:1049',axiom,
    ? [X_616: set_4] :
      ( ! [X_617: $o,X_618: $o] :
          ( mem4((X_618),(X_617),X_616)
        <=> mem4((X_618),(X_617),g_s735_734) )
      & ! [X_619: $o,X_620: $o,X_621: $o] :
          ( ( mem4((X_619),(X_620),X_616)
            & mem4((X_619),(X_621),X_616) )
         => ( (X_620)
          <=> (X_621) ) )
      & ! [X_622: $o] :
          ( $true
        <=> ? [X_623: $o] : mem4((X_622),(X_623),X_616) )
      & ! [X_624: $o] :
          ( ? [X_625: $o] : mem4((X_625),(X_624),X_616)
         => $true ) ) ).

tff('Define:ctx:105',axiom,
    mem0(g_s269_269,g_s195_194) ).

tff('Define:ctx:1050',axiom,
    ! [X_626: $o,X_627: $o] :
      ( mem4((X_627),(X_626),g_s735_734)
    <=> ( $true
        & ( (X_626)
        <=> ( (X_627)
          <=> $false ) ) ) ) ).

tff('Define:ctx:1051',axiom,
    ? [X_628: set_4] :
      ( ! [X_629: $o,X_630: $o] :
          ( mem4((X_630),(X_629),X_628)
        <=> mem4((X_630),(X_629),g_s736_735) )
      & ! [X_631: $o,X_632: $o,X_633: $o] :
          ( ( mem4((X_631),(X_632),X_628)
            & mem4((X_631),(X_633),X_628) )
         => ( (X_632)
          <=> (X_633) ) )
      & ! [X_634: $o] :
          ( $true
        <=> ? [X_635: $o] : mem4((X_634),(X_635),X_628) )
      & ! [X_636: $o] :
          ( ? [X_637: $o] : mem4((X_637),(X_636),X_628)
         => $true ) ) ).

tff('Define:ctx:1052',axiom,
    ! [X_638: $o,X_639: $o] :
      ( mem4((X_639),(X_638),g_s736_735)
    <=> mem4((X_639),(X_638),g_s735_734) ) ).

tff('Define:ctx:1053',axiom,
    ? [X_640: set_5] :
      ( ! [X_641: $o,X_642: $o,X_643: $o] :
          ( mem5((X_643),(X_642),(X_641),X_640)
        <=> mem5((X_643),(X_642),(X_641),g_s737_736) )
      & ! [X_644: $o,X_645: $o,X_646: $o,X_647: $o] :
          ( ( mem5((X_645),(X_644),(X_646),X_640)
            & mem5((X_645),(X_644),(X_647),X_640) )
         => ( (X_646)
          <=> (X_647) ) )
      & ! [X_648: $o,X_649: $o] :
          ( ( $true
            & $true )
        <=> ? [X_650: $o] : mem5((X_649),(X_648),(X_650),X_640) )
      & ! [X_651: $o] :
          ( ? [X_652: $o,X_653: $o] : mem5((X_653),(X_652),(X_651),X_640)
         => $true ) ) ).

tff('Define:ctx:1054',axiom,
    ! [X_654: $o,X_655: $o,X_656: $o] :
      ( mem5((X_656),(X_655),(X_654),g_s737_736)
    <=> ( $true
        & $true
        & ( (X_654)
        <=> ( ( (X_656)
            <=> $true )
            | ( (X_655)
            <=> $true ) ) ) ) ) ).

tff('Define:ctx:1055',axiom,
    ? [X_657: set_5] :
      ( ! [X_658: $o,X_659: $o,X_660: $o] :
          ( mem5((X_660),(X_659),(X_658),X_657)
        <=> mem5((X_660),(X_659),(X_658),g_s740_737) )
      & ! [X_661: $o,X_662: $o,X_663: $o,X_664: $o] :
          ( ( mem5((X_662),(X_661),(X_663),X_657)
            & mem5((X_662),(X_661),(X_664),X_657) )
         => ( (X_663)
          <=> (X_664) ) )
      & ! [X_665: $o,X_666: $o] :
          ( ( $true
            & $true )
        <=> ? [X_667: $o] : mem5((X_666),(X_665),(X_667),X_657) )
      & ! [X_668: $o] :
          ( ? [X_669: $o,X_670: $o] : mem5((X_670),(X_669),(X_668),X_657)
         => $true ) ) ).

tff('Define:ctx:1056',axiom,
    ! [X_671: $o,X_672: $o,X_673: $o] :
      ( mem5((X_673),(X_672),(X_671),g_s740_737)
    <=> mem5((X_673),(X_672),(X_671),g_s737_736) ) ).

tff('Define:ctx:1057',axiom,
    ? [X_674: set_5] :
      ( ! [X_675: $o,X_676: $o,X_677: $o] :
          ( mem5((X_677),(X_676),(X_675),X_674)
        <=> mem5((X_677),(X_676),(X_675),g_s741_738) )
      & ! [X_678: $o,X_679: $o,X_680: $o,X_681: $o] :
          ( ( mem5((X_679),(X_678),(X_680),X_674)
            & mem5((X_679),(X_678),(X_681),X_674) )
         => ( (X_680)
          <=> (X_681) ) )
      & ! [X_682: $o,X_683: $o] :
          ( ( $true
            & $true )
        <=> ? [X_684: $o] : mem5((X_683),(X_682),(X_684),X_674) )
      & ! [X_685: $o] :
          ( ? [X_686: $o,X_687: $o] : mem5((X_687),(X_686),(X_685),X_674)
         => $true ) ) ).

tff('Define:ctx:1058',axiom,
    ! [X_688: $o,X_689: $o,X_690: $o] :
      ( mem5((X_690),(X_689),(X_688),g_s741_738)
    <=> mem5((X_690),(X_689),(X_688),g_s737_736) ) ).

tff('Define:ctx:1059',axiom,
    ? [X_691: set_5] :
      ( ! [X_692: $o,X_693: $o,X_694: $o] :
          ( mem5((X_694),(X_693),(X_692),X_691)
        <=> mem5((X_694),(X_693),(X_692),g_s742_739) )
      & ! [X_695: $o,X_696: $o,X_697: $o,X_698: $o] :
          ( ( mem5((X_696),(X_695),(X_697),X_691)
            & mem5((X_696),(X_695),(X_698),X_691) )
         => ( (X_697)
          <=> (X_698) ) )
      & ! [X_699: $o,X_700: $o] :
          ( ( $true
            & $true )
        <=> ? [X_701: $o] : mem5((X_700),(X_699),(X_701),X_691) )
      & ! [X_702: $o] :
          ( ? [X_703: $o,X_704: $o] : mem5((X_704),(X_703),(X_702),X_691)
         => $true ) ) ).

tff('Define:ctx:106',axiom,
    mem0(g_s270_270,g_s195_194) ).

tff('Define:ctx:1060',axiom,
    ! [X_705: $o,X_706: $o,X_707: $o] :
      ( mem5((X_707),(X_706),(X_705),g_s742_739)
    <=> ( $true
        & $true
        & ( (X_705)
        <=> ( ( (X_707)
            <=> $true )
            & ( (X_706)
            <=> $true ) ) ) ) ) ).

tff('Define:ctx:1061',axiom,
    ? [X_708: set_5] :
      ( ! [X_709: $o,X_710: $o,X_711: $o] :
          ( mem5((X_711),(X_710),(X_709),X_708)
        <=> mem5((X_711),(X_710),(X_709),g_s743_740) )
      & ! [X_712: $o,X_713: $o,X_714: $o,X_715: $o] :
          ( ( mem5((X_713),(X_712),(X_714),X_708)
            & mem5((X_713),(X_712),(X_715),X_708) )
         => ( (X_714)
          <=> (X_715) ) )
      & ! [X_716: $o,X_717: $o] :
          ( ( $true
            & $true )
        <=> ? [X_718: $o] : mem5((X_717),(X_716),(X_718),X_708) )
      & ! [X_719: $o] :
          ( ? [X_720: $o,X_721: $o] : mem5((X_721),(X_720),(X_719),X_708)
         => $true ) ) ).

tff('Define:ctx:1062',axiom,
    ! [X_722: $o,X_723: $o,X_724: $o] :
      ( mem5((X_724),(X_723),(X_722),g_s743_740)
    <=> mem5((X_724),(X_723),(X_722),g_s742_739) ) ).

tff('Define:ctx:1063',axiom,
    ? [X_725: set_5] :
      ( ! [X_726: $o,X_727: $o,X_728: $o] :
          ( mem5((X_728),(X_727),(X_726),X_725)
        <=> mem5((X_728),(X_727),(X_726),g_s744_741) )
      & ! [X_729: $o,X_730: $o,X_731: $o,X_732: $o] :
          ( ( mem5((X_730),(X_729),(X_731),X_725)
            & mem5((X_730),(X_729),(X_732),X_725) )
         => ( (X_731)
          <=> (X_732) ) )
      & ! [X_733: $o,X_734: $o] :
          ( ( $true
            & $true )
        <=> ? [X_735: $o] : mem5((X_734),(X_733),(X_735),X_725) )
      & ! [X_736: $o] :
          ( ? [X_737: $o,X_738: $o] : mem5((X_738),(X_737),(X_736),X_725)
         => $true ) ) ).

tff('Define:ctx:1064',axiom,
    ! [X_739: $o,X_740: $o,X_741: $o] :
      ( mem5((X_741),(X_740),(X_739),g_s744_741)
    <=> mem5((X_741),(X_740),(X_739),g_s742_739) ) ).

tff('Define:ctx:1065',axiom,
    ? [X_742: set_6] :
      ( ! [X_743: $o,X_744: $int,X_745: $int] :
          ( mem6(X_745,X_744,(X_743),X_742)
        <=> mem6(X_745,X_744,(X_743),g_s745_742) )
      & ! [X_746: $int,X_747: $int,X_748: $o,X_749: $o] :
          ( ( mem6(X_747,X_746,(X_748),X_742)
            & mem6(X_747,X_746,(X_749),X_742) )
         => ( (X_748)
          <=> (X_749) ) )
      & ! [X_750: $int,X_751: $int] :
          ( ( mem0(X_751,g_s726_726)
            & mem0(X_750,g_s726_726) )
        <=> ? [X_752: $o] : mem6(X_751,X_750,(X_752),X_742) )
      & ! [X_753: $o] :
          ( ? [X_754: $int,X_755: $int] : mem6(X_755,X_754,(X_753),X_742)
         => $true ) ) ).

tff('Define:ctx:1066',axiom,
    ! [X_756: $o,X_757: $int,X_758: $int] :
      ( mem6(X_758,X_757,(X_756),g_s745_742)
    <=> ( mem0(X_758,g_s726_726)
        & mem0(X_757,g_s726_726)
        & ( (X_756)
        <=> $greatereq(X_758,X_757) ) ) ) ).

tff('Define:ctx:1067',axiom,
    ? [X_759: set_6] :
      ( ! [X_760: $o,X_761: $int,X_762: $int] :
          ( mem6(X_762,X_761,(X_760),X_759)
        <=> mem6(X_762,X_761,(X_760),g_s748_743) )
      & ! [X_763: $int,X_764: $int,X_765: $o,X_766: $o] :
          ( ( mem6(X_764,X_763,(X_765),X_759)
            & mem6(X_764,X_763,(X_766),X_759) )
         => ( (X_765)
          <=> (X_766) ) )
      & ! [X_767: $int,X_768: $int] :
          ( ( mem0(X_768,g_s726_726)
            & mem0(X_767,g_s726_726) )
        <=> ? [X_769: $o] : mem6(X_768,X_767,(X_769),X_759) )
      & ! [X_770: $o] :
          ( ? [X_771: $int,X_772: $int] : mem6(X_772,X_771,(X_770),X_759)
         => $true ) ) ).

tff('Define:ctx:1068',axiom,
    ! [X_773: $o,X_774: $int,X_775: $int] :
      ( mem6(X_775,X_774,(X_773),g_s748_743)
    <=> mem6(X_775,X_774,(X_773),g_s745_742) ) ).

tff('Define:ctx:1069',axiom,
    ? [X_776: set_6] :
      ( ! [X_777: $o,X_778: $int,X_779: $int] :
          ( mem6(X_779,X_778,(X_777),X_776)
        <=> mem6(X_779,X_778,(X_777),g_s749_744) )
      & ! [X_780: $int,X_781: $int,X_782: $o,X_783: $o] :
          ( ( mem6(X_781,X_780,(X_782),X_776)
            & mem6(X_781,X_780,(X_783),X_776) )
         => ( (X_782)
          <=> (X_783) ) )
      & ! [X_784: $int,X_785: $int] :
          ( ( mem0(X_785,g_s726_726)
            & mem0(X_784,g_s726_726) )
        <=> ? [X_786: $o] : mem6(X_785,X_784,(X_786),X_776) )
      & ! [X_787: $o] :
          ( ? [X_788: $int,X_789: $int] : mem6(X_789,X_788,(X_787),X_776)
         => $true ) ) ).

tff('Define:ctx:107',axiom,
    mem0(g_s271_271,g_s195_194) ).

tff('Define:ctx:1070',axiom,
    ! [X_790: $o,X_791: $int,X_792: $int] :
      ( mem6(X_792,X_791,(X_790),g_s749_744)
    <=> mem6(X_792,X_791,(X_790),g_s745_742) ) ).

tff('Define:ctx:1071',axiom,
    ? [X_793: set_6] :
      ( ! [X_794: $o,X_795: $int,X_796: $int] :
          ( mem6(X_796,X_795,(X_794),X_793)
        <=> mem6(X_796,X_795,(X_794),g_s750_745) )
      & ! [X_797: $int,X_798: $int,X_799: $o,X_800: $o] :
          ( ( mem6(X_798,X_797,(X_799),X_793)
            & mem6(X_798,X_797,(X_800),X_793) )
         => ( (X_799)
          <=> (X_800) ) )
      & ! [X_801: $int,X_802: $int] :
          ( ( mem0(X_802,g_s726_726)
            & mem0(X_801,g_s726_726) )
        <=> ? [X_803: $o] : mem6(X_802,X_801,(X_803),X_793) )
      & ! [X_804: $o] :
          ( ? [X_805: $int,X_806: $int] : mem6(X_806,X_805,(X_804),X_793)
         => $true ) ) ).

tff('Define:ctx:1072',axiom,
    ! [X_807: $o,X_808: $int,X_809: $int] :
      ( mem6(X_809,X_808,(X_807),g_s750_745)
    <=> mem6(X_809,X_808,(X_807),g_s745_742) ) ).

tff('Define:ctx:1073',axiom,
    ? [X_810: set_6] :
      ( ! [X_811: $o,X_812: $int,X_813: $int] :
          ( mem6(X_813,X_812,(X_811),X_810)
        <=> mem6(X_813,X_812,(X_811),g_s751_746) )
      & ! [X_814: $int,X_815: $int,X_816: $o,X_817: $o] :
          ( ( mem6(X_815,X_814,(X_816),X_810)
            & mem6(X_815,X_814,(X_817),X_810) )
         => ( (X_816)
          <=> (X_817) ) )
      & ! [X_818: $int,X_819: $int] :
          ( ( mem0(X_819,g_s726_726)
            & mem0(X_818,g_s726_726) )
        <=> ? [X_820: $o] : mem6(X_819,X_818,(X_820),X_810) )
      & ! [X_821: $o] :
          ( ? [X_822: $int,X_823: $int] : mem6(X_823,X_822,(X_821),X_810)
         => $true ) ) ).

tff('Define:ctx:1074',axiom,
    ! [X_824: $o,X_825: $int,X_826: $int] :
      ( mem6(X_826,X_825,(X_824),g_s751_746)
    <=> ( mem0(X_826,g_s726_726)
        & mem0(X_825,g_s726_726)
        & ( (X_824)
        <=> $greater(X_826,X_825) ) ) ) ).

tff('Define:ctx:1075',axiom,
    ? [X_827: set_6] :
      ( ! [X_828: $o,X_829: $int,X_830: $int] :
          ( mem6(X_830,X_829,(X_828),X_827)
        <=> mem6(X_830,X_829,(X_828),g_s752_747) )
      & ! [X_831: $int,X_832: $int,X_833: $o,X_834: $o] :
          ( ( mem6(X_832,X_831,(X_833),X_827)
            & mem6(X_832,X_831,(X_834),X_827) )
         => ( (X_833)
          <=> (X_834) ) )
      & ! [X_835: $int,X_836: $int] :
          ( ( mem0(X_836,g_s726_726)
            & mem0(X_835,g_s726_726) )
        <=> ? [X_837: $o] : mem6(X_836,X_835,(X_837),X_827) )
      & ! [X_838: $o] :
          ( ? [X_839: $int,X_840: $int] : mem6(X_840,X_839,(X_838),X_827)
         => $true ) ) ).

tff('Define:ctx:1076',axiom,
    ! [X_841: $o,X_842: $int,X_843: $int] :
      ( mem6(X_843,X_842,(X_841),g_s752_747)
    <=> mem6(X_843,X_842,(X_841),g_s751_746) ) ).

tff('Define:ctx:1077',axiom,
    ? [X_844: set_6] :
      ( ! [X_845: $o,X_846: $int,X_847: $int] :
          ( mem6(X_847,X_846,(X_845),X_844)
        <=> mem6(X_847,X_846,(X_845),g_s753_748) )
      & ! [X_848: $int,X_849: $int,X_850: $o,X_851: $o] :
          ( ( mem6(X_849,X_848,(X_850),X_844)
            & mem6(X_849,X_848,(X_851),X_844) )
         => ( (X_850)
          <=> (X_851) ) )
      & ! [X_852: $int,X_853: $int] :
          ( ( mem0(X_853,g_s726_726)
            & mem0(X_852,g_s726_726) )
        <=> ? [X_854: $o] : mem6(X_853,X_852,(X_854),X_844) )
      & ! [X_855: $o] :
          ( ? [X_856: $int,X_857: $int] : mem6(X_857,X_856,(X_855),X_844)
         => $true ) ) ).

tff('Define:ctx:1078',axiom,
    ! [X_858: $o,X_859: $int,X_860: $int] :
      ( mem6(X_860,X_859,(X_858),g_s753_748)
    <=> mem6(X_860,X_859,(X_858),g_s751_746) ) ).

tff('Define:ctx:1079',axiom,
    ? [X_861: set_6] :
      ( ! [X_862: $o,X_863: $int,X_864: $int] :
          ( mem6(X_864,X_863,(X_862),X_861)
        <=> mem6(X_864,X_863,(X_862),g_s754_749) )
      & ! [X_865: $int,X_866: $int,X_867: $o,X_868: $o] :
          ( ( mem6(X_866,X_865,(X_867),X_861)
            & mem6(X_866,X_865,(X_868),X_861) )
         => ( (X_867)
          <=> (X_868) ) )
      & ! [X_869: $int,X_870: $int] :
          ( ( mem0(X_870,g_s726_726)
            & mem0(X_869,g_s726_726) )
        <=> ? [X_871: $o] : mem6(X_870,X_869,(X_871),X_861) )
      & ! [X_872: $o] :
          ( ? [X_873: $int,X_874: $int] : mem6(X_874,X_873,(X_872),X_861)
         => $true ) ) ).

tff('Define:ctx:108',axiom,
    mem0(g_s272_272,g_s195_194) ).

tff('Define:ctx:1080',axiom,
    ! [X_875: $o,X_876: $int,X_877: $int] :
      ( mem6(X_877,X_876,(X_875),g_s754_749)
    <=> mem6(X_877,X_876,(X_875),g_s751_746) ) ).

tff('Define:ctx:1081',axiom,
    ? [X_878: set_6] :
      ( ! [X_879: $o,X_880: $int,X_881: $int] :
          ( mem6(X_881,X_880,(X_879),X_878)
        <=> mem6(X_881,X_880,(X_879),g_s755_750) )
      & ! [X_882: $int,X_883: $int,X_884: $o,X_885: $o] :
          ( ( mem6(X_883,X_882,(X_884),X_878)
            & mem6(X_883,X_882,(X_885),X_878) )
         => ( (X_884)
          <=> (X_885) ) )
      & ! [X_886: $int,X_887: $int] :
          ( ( mem0(X_887,g_s726_726)
            & mem0(X_886,g_s726_726) )
        <=> ? [X_888: $o] : mem6(X_887,X_886,(X_888),X_878) )
      & ! [X_889: $o] :
          ( ? [X_890: $int,X_891: $int] : mem6(X_891,X_890,(X_889),X_878)
         => $true ) ) ).

tff('Define:ctx:1082',axiom,
    ! [X_892: $o,X_893: $int,X_894: $int] :
      ( mem6(X_894,X_893,(X_892),g_s755_750)
    <=> ( mem0(X_894,g_s726_726)
        & mem0(X_893,g_s726_726)
        & ( (X_892)
        <=> ( X_894 = X_893 ) ) ) ) ).

tff('Define:ctx:1083',axiom,
    ? [X_895: set_6] :
      ( ! [X_896: $o,X_897: $int,X_898: $int] :
          ( mem6(X_898,X_897,(X_896),X_895)
        <=> mem6(X_898,X_897,(X_896),g_s756_751) )
      & ! [X_899: $int,X_900: $int,X_901: $o,X_902: $o] :
          ( ( mem6(X_900,X_899,(X_901),X_895)
            & mem6(X_900,X_899,(X_902),X_895) )
         => ( (X_901)
          <=> (X_902) ) )
      & ! [X_903: $int,X_904: $int] :
          ( ( mem0(X_904,g_s726_726)
            & mem0(X_903,g_s726_726) )
        <=> ? [X_905: $o] : mem6(X_904,X_903,(X_905),X_895) )
      & ! [X_906: $o] :
          ( ? [X_907: $int,X_908: $int] : mem6(X_908,X_907,(X_906),X_895)
         => $true ) ) ).

tff('Define:ctx:1084',axiom,
    ! [X_909: $o,X_910: $int,X_911: $int] :
      ( mem6(X_911,X_910,(X_909),g_s756_751)
    <=> mem6(X_911,X_910,(X_909),g_s755_750) ) ).

tff('Define:ctx:1085',axiom,
    ? [X_912: set_6] :
      ( ! [X_913: $o,X_914: $int,X_915: $int] :
          ( mem6(X_915,X_914,(X_913),X_912)
        <=> mem6(X_915,X_914,(X_913),g_s757_752) )
      & ! [X_916: $int,X_917: $int,X_918: $o,X_919: $o] :
          ( ( mem6(X_917,X_916,(X_918),X_912)
            & mem6(X_917,X_916,(X_919),X_912) )
         => ( (X_918)
          <=> (X_919) ) )
      & ! [X_920: $int,X_921: $int] :
          ( ( mem0(X_921,g_s726_726)
            & mem0(X_920,g_s726_726) )
        <=> ? [X_922: $o] : mem6(X_921,X_920,(X_922),X_912) )
      & ! [X_923: $o] :
          ( ? [X_924: $int,X_925: $int] : mem6(X_925,X_924,(X_923),X_912)
         => $true ) ) ).

tff('Define:ctx:1086',axiom,
    ! [X_926: $o,X_927: $int,X_928: $int] :
      ( mem6(X_928,X_927,(X_926),g_s757_752)
    <=> mem6(X_928,X_927,(X_926),g_s755_750) ) ).

tff('Define:ctx:1087',axiom,
    ? [X_929: set_6] :
      ( ! [X_930: $o,X_931: $int,X_932: $int] :
          ( mem6(X_932,X_931,(X_930),X_929)
        <=> mem6(X_932,X_931,(X_930),g_s758_753) )
      & ! [X_933: $int,X_934: $int,X_935: $o,X_936: $o] :
          ( ( mem6(X_934,X_933,(X_935),X_929)
            & mem6(X_934,X_933,(X_936),X_929) )
         => ( (X_935)
          <=> (X_936) ) )
      & ! [X_937: $int,X_938: $int] :
          ( ( mem0(X_938,g_s726_726)
            & mem0(X_937,g_s726_726) )
        <=> ? [X_939: $o] : mem6(X_938,X_937,(X_939),X_929) )
      & ! [X_940: $o] :
          ( ? [X_941: $int,X_942: $int] : mem6(X_942,X_941,(X_940),X_929)
         => $true ) ) ).

tff('Define:ctx:1088',axiom,
    ! [X_943: $o,X_944: $int,X_945: $int] :
      ( mem6(X_945,X_944,(X_943),g_s758_753)
    <=> ( mem0(X_945,g_s726_726)
        & mem0(X_944,g_s726_726)
        & ( (X_943)
        <=> ( X_945 != X_944 ) ) ) ) ).

tff('Define:ctx:1089',axiom,
    ? [X_946: set_6] :
      ( ! [X_947: $o,X_948: $int,X_949: $int] :
          ( mem6(X_949,X_948,(X_947),X_946)
        <=> mem6(X_949,X_948,(X_947),g_s759_754) )
      & ! [X_950: $int,X_951: $int,X_952: $o,X_953: $o] :
          ( ( mem6(X_951,X_950,(X_952),X_946)
            & mem6(X_951,X_950,(X_953),X_946) )
         => ( (X_952)
          <=> (X_953) ) )
      & ! [X_954: $int,X_955: $int] :
          ( ( mem0(X_955,g_s726_726)
            & mem0(X_954,g_s726_726) )
        <=> ? [X_956: $o] : mem6(X_955,X_954,(X_956),X_946) )
      & ! [X_957: $o] :
          ( ? [X_958: $int,X_959: $int] : mem6(X_959,X_958,(X_957),X_946)
         => $true ) ) ).

tff('Define:ctx:109',axiom,
    mem0(g_s273_273,g_s195_194) ).

tff('Define:ctx:1090',axiom,
    ! [X_960: $o,X_961: $int,X_962: $int] :
      ( mem6(X_962,X_961,(X_960),g_s759_754)
    <=> mem6(X_962,X_961,(X_960),g_s758_753) ) ).

tff('Define:ctx:1091',axiom,
    ? [X_963: set_6] :
      ( ! [X_964: $o,X_965: $int,X_966: $int] :
          ( mem6(X_966,X_965,(X_964),X_963)
        <=> mem6(X_966,X_965,(X_964),g_s760_755) )
      & ! [X_967: $int,X_968: $int,X_969: $o,X_970: $o] :
          ( ( mem6(X_968,X_967,(X_969),X_963)
            & mem6(X_968,X_967,(X_970),X_963) )
         => ( (X_969)
          <=> (X_970) ) )
      & ! [X_971: $int,X_972: $int] :
          ( ( mem0(X_972,g_s726_726)
            & mem0(X_971,g_s726_726) )
        <=> ? [X_973: $o] : mem6(X_972,X_971,(X_973),X_963) )
      & ! [X_974: $o] :
          ( ? [X_975: $int,X_976: $int] : mem6(X_976,X_975,(X_974),X_963)
         => $true ) ) ).

tff('Define:ctx:1092',axiom,
    ! [X_977: $o,X_978: $int,X_979: $int] :
      ( mem6(X_979,X_978,(X_977),g_s760_755)
    <=> mem6(X_979,X_978,(X_977),g_s758_753) ) ).

tff('Define:ctx:1093',axiom,
    ? [X_980: set_4] :
      ( ! [X_981: $o,X_982: $o] :
          ( mem4((X_982),(X_981),X_980)
        <=> mem4((X_982),(X_981),g_s761_756) )
      & ! [X_983: $o,X_984: $o,X_985: $o] :
          ( ( mem4((X_983),(X_984),X_980)
            & mem4((X_983),(X_985),X_980) )
         => ( (X_984)
          <=> (X_985) ) )
      & ! [X_986: $o] :
          ( $true
        <=> ? [X_987: $o] : mem4((X_986),(X_987),X_980) )
      & ! [X_988: $o] :
          ( ? [X_989: $o] : mem4((X_989),(X_988),X_980)
         => $true ) ) ).

tff('Define:ctx:1094',axiom,
    ! [X_990: $o,X_991: $o] :
      ( mem4((X_991),(X_990),g_s761_756)
    <=> ( $true
        & ( (X_990)
        <=> (X_991) ) ) ) ).

tff('Define:ctx:1095',axiom,
    ? [X_992: set_4] :
      ( ! [X_993: $o,X_994: $o] :
          ( mem4((X_994),(X_993),X_992)
        <=> mem4((X_994),(X_993),g_s762_757) )
      & ! [X_995: $o,X_996: $o,X_997: $o] :
          ( ( mem4((X_995),(X_996),X_992)
            & mem4((X_995),(X_997),X_992) )
         => ( (X_996)
          <=> (X_997) ) )
      & ! [X_998: $o] :
          ( $true
        <=> ? [X_999: $o] : mem4((X_998),(X_999),X_992) )
      & ! [X_1000: $o] :
          ( ? [X_1001: $o] : mem4((X_1001),(X_1000),X_992)
         => $true ) ) ).

tff('Define:ctx:1096',axiom,
    ! [X_1002: $o,X_1003: $o] :
      ( mem4((X_1003),(X_1002),g_s762_757)
    <=> ( $true
        & ( (X_1002)
        <=> (X_1003) ) ) ) ).

tff('Define:ctx:1097',axiom,
    ? [X_1004: set_4] :
      ( ! [X_1005: $o,X_1006: $o] :
          ( mem4((X_1006),(X_1005),X_1004)
        <=> mem4((X_1006),(X_1005),g_s763_758) )
      & ! [X_1007: $o,X_1008: $o,X_1009: $o] :
          ( ( mem4((X_1007),(X_1008),X_1004)
            & mem4((X_1007),(X_1009),X_1004) )
         => ( (X_1008)
          <=> (X_1009) ) )
      & ! [X_1010: $o] :
          ( $true
        <=> ? [X_1011: $o] : mem4((X_1010),(X_1011),X_1004) )
      & ! [X_1012: $o] :
          ( ? [X_1013: $o] : mem4((X_1013),(X_1012),X_1004)
         => $true ) ) ).

tff('Define:ctx:1098',axiom,
    ! [X_1014: $o,X_1015: $o] :
      ( mem4((X_1015),(X_1014),g_s763_758)
    <=> ( $true
        & ( (X_1014)
        <=> (X_1015) ) ) ) ).

tff('Define:ctx:1099',axiom,
    ? [X_1016: set_4] :
      ( ! [X_1017: $o,X_1018: $o] :
          ( mem4((X_1018),(X_1017),X_1016)
        <=> mem4((X_1018),(X_1017),g_s764_759) )
      & ! [X_1019: $o,X_1020: $o,X_1021: $o] :
          ( ( mem4((X_1019),(X_1020),X_1016)
            & mem4((X_1019),(X_1021),X_1016) )
         => ( (X_1020)
          <=> (X_1021) ) )
      & ! [X_1022: $o] :
          ( $true
        <=> ? [X_1023: $o] : mem4((X_1022),(X_1023),X_1016) )
      & ! [X_1024: $o] :
          ( ? [X_1025: $o] : mem4((X_1025),(X_1024),X_1016)
         => $true ) ) ).

tff('Define:ctx:11',axiom,
    ( ! [X_16: $int] :
        ( mem0(X_16,g_s47_47)
      <=> ( ( X_16 = g_s48_48 )
          | ( X_16 = g_s49_49 )
          | ( X_16 = g_s50_50 ) ) )
    & ( g_s48_48 != g_s49_49 )
    & ( g_s49_49 != g_s50_50 ) ) ).

tff('Define:ctx:110',axiom,
    mem0(g_s274_274,g_s195_194) ).

tff('Define:ctx:1100',axiom,
    ! [X_1026: $o,X_1027: $o] :
      ( mem4((X_1027),(X_1026),g_s764_759)
    <=> ( $true
        & ( (X_1026)
        <=> (X_1027) ) ) ) ).

tff('Define:ctx:1101',axiom,
    ? [X_1028: set_4] :
      ( ! [X_1029: $o,X_1030: $o] :
          ( mem4((X_1030),(X_1029),X_1028)
        <=> mem4((X_1030),(X_1029),g_s765_760) )
      & ! [X_1031: $o,X_1032: $o,X_1033: $o] :
          ( ( mem4((X_1031),(X_1032),X_1028)
            & mem4((X_1031),(X_1033),X_1028) )
         => ( (X_1032)
          <=> (X_1033) ) )
      & ! [X_1034: $o] :
          ( $true
        <=> ? [X_1035: $o] : mem4((X_1034),(X_1035),X_1028) )
      & ! [X_1036: $o] :
          ( ? [X_1037: $o] : mem4((X_1037),(X_1036),X_1028)
         => $true ) ) ).

tff('Define:ctx:1102',axiom,
    ! [X_1038: $o,X_1039: $o] :
      ( mem4((X_1039),(X_1038),g_s765_760)
    <=> ( $true
        & ( (X_1038)
        <=> (X_1039) ) ) ) ).

tff('Define:ctx:1103',axiom,
    ? [X_1040: set_6] :
      ( ! [X_1041: $o,X_1042: $int,X_1043: $int] :
          ( mem6(X_1043,X_1042,(X_1041),X_1040)
        <=> mem6(X_1043,X_1042,(X_1041),g_s766_761) )
      & ! [X_1044: $int,X_1045: $int,X_1046: $o,X_1047: $o] :
          ( ( mem6(X_1045,X_1044,(X_1046),X_1040)
            & mem6(X_1045,X_1044,(X_1047),X_1040) )
         => ( (X_1046)
          <=> (X_1047) ) )
      & ! [X_1048: $int,X_1049: $int] :
          ( ( mem0(X_1049,g_s728_728)
            & mem0(X_1048,g_s281_280) )
        <=> ? [X_1050: $o] : mem6(X_1049,X_1048,(X_1050),X_1040) )
      & ! [X_1051: $o] :
          ( ? [X_1052: $int,X_1053: $int] : mem6(X_1053,X_1052,(X_1051),X_1040)
         => $true ) ) ).

tff('Define:ctx:1104',axiom,
    ! [X_1054: $o,X_1055: $int,X_1056: $int] :
      ( mem6(X_1056,X_1055,(X_1054),g_s766_761)
    <=> ( mem0(X_1056,g_s728_728)
        & mem0(X_1055,g_s281_280)
        & ( (X_1054)
        <=> ( X_1056 = X_1055 ) ) ) ) ).

tff('Define:ctx:1105',axiom,
    ? [X_1057: set_6] :
      ( ! [X_1058: $o,X_1059: $int,X_1060: $int] :
          ( mem6(X_1060,X_1059,(X_1058),X_1057)
        <=> mem6(X_1060,X_1059,(X_1058),g_s769_762) )
      & ! [X_1061: $int,X_1062: $int,X_1063: $o,X_1064: $o] :
          ( ( mem6(X_1062,X_1061,(X_1063),X_1057)
            & mem6(X_1062,X_1061,(X_1064),X_1057) )
         => ( (X_1063)
          <=> (X_1064) ) )
      & ! [X_1065: $int,X_1066: $int] :
          ( ( mem0(X_1066,g_s281_280)
            & mem0(X_1065,g_s281_280) )
        <=> ? [X_1067: $o] : mem6(X_1066,X_1065,(X_1067),X_1057) )
      & ! [X_1068: $o] :
          ( ? [X_1069: $int,X_1070: $int] : mem6(X_1070,X_1069,(X_1068),X_1057)
         => $true ) ) ).

tff('Define:ctx:1106',axiom,
    ! [X_1071: $o,X_1072: $int,X_1073: $int] :
      ( mem6(X_1073,X_1072,(X_1071),g_s769_762)
    <=> mem6(X_1073,X_1072,(X_1071),g_s769_762) ) ).

tff('Define:ctx:1107',axiom,
    ( ? [X_1074: set_2] :
        ( ! [X_1075: $int,X_1076: $int] :
            ( mem2(X_1076,X_1075,X_1074)
          <=> mem2(X_1076,X_1075,g_s770_763) )
        & ! [X_1077: $int,X_1078: $int,X_1079: $int] :
            ( ( mem2(X_1077,X_1078,X_1074)
              & mem2(X_1077,X_1079,X_1074) )
           => ( X_1078 = X_1079 ) )
        & ! [X_1080: $int] :
            ( mem0(X_1080,g_s281_280)
          <=> ? [X_1081: $int] : mem2(X_1080,X_1081,X_1074) )
        & ! [X_1082: $int] :
            ( ? [X_1083: $int] : mem2(X_1083,X_1082,X_1074)
           => mem0(X_1082,g_s281_280) ) )
    & ! [X_1084: $int] :
        ( mem0(X_1084,g_s281_280)
       => ? [X_1085: $int] : mem2(X_1085,X_1084,g_s770_763) )
    & ! [X_1086: $int,X_1087: $int,X_1088: $int] :
        ( ( mem2(X_1087,X_1086,g_s770_763)
          & mem2(X_1088,X_1086,g_s770_763) )
       => ( X_1087 = X_1088 ) ) ) ).

tff('Define:ctx:1108',axiom,
    ! [X_1089: $int,X_1090: $int] :
      ( mem2(X_1090,X_1089,g_s770_763)
    <=> ( mem0(X_1090,g_s281_280)
        & ( X_1089 = X_1090 ) ) ) ).

tff('Define:ctx:1109',axiom,
    ( ? [X_1091: set_2] :
        ( ! [X_1092: $int,X_1093: $int] :
            ( mem2(X_1093,X_1092,X_1091)
          <=> mem2(X_1093,X_1092,g_s772_764) )
        & ! [X_1094: $int,X_1095: $int,X_1096: $int] :
            ( ( mem2(X_1094,X_1095,X_1091)
              & mem2(X_1094,X_1096,X_1091) )
           => ( X_1095 = X_1096 ) )
        & ! [X_1097: $int] :
            ( mem0(X_1097,g_s728_728)
          <=> ? [X_1098: $int] : mem2(X_1097,X_1098,X_1091) )
        & ! [X_1099: $int] :
            ( ? [X_1100: $int] : mem2(X_1100,X_1099,X_1091)
           => mem0(X_1099,g_s728_728) ) )
    & ! [X_1101: $int] :
        ( mem0(X_1101,g_s728_728)
       => ? [X_1102: $int] : mem2(X_1102,X_1101,g_s772_764) )
    & ! [X_1103: $int,X_1104: $int,X_1105: $int] :
        ( ( mem2(X_1104,X_1103,g_s772_764)
          & mem2(X_1105,X_1103,g_s772_764) )
       => ( X_1104 = X_1105 ) ) ) ).

tff('Define:ctx:111',axiom,
    mem0(g_s275_275,g_s195_194) ).

tff('Define:ctx:1110',axiom,
    ! [X_1106: $int,X_1107: $int] :
      ( mem2(X_1107,X_1106,g_s772_764)
    <=> mem2(X_1107,X_1106,g_s770_763) ) ).

tff('Define:ctx:1111',axiom,
    ! [X_1108: $int,X_1109: $int] :
      ( mem2(X_1109,X_1108,g_s773_765)
    <=> ( $true
        & ( X_1108 = X_1109 ) ) ) ).

tff('Define:ctx:1112',axiom,
    ! [X_1110: $o,X_1111: $o] :
      ( mem4((X_1111),(X_1110),g_s775_766)
    <=> ( $true
        & ( (X_1110)
        <=> (X_1111) ) ) ) ).

tff('Define:ctx:1113',axiom,
    mem0(g_s776_767,g_s293_293) ).

tff('Define:ctx:1114',axiom,
    mem0(g_s777_768,g_s297_297) ).

tff('Define:ctx:1115',axiom,
    mem0(g_s778_769,g_s297_297) ).

tff('Define:ctx:1116',axiom,
    mem3(g_s779_770,g_s332_332) ).

tff('Define:ctx:1117',axiom,
    mem3(g_s780_771,g_s332_332) ).

tff('Define:ctx:1118',axiom,
    mem0(g_s781_772,g_s43_43) ).

tff('Define:ctx:1119',axiom,
    mem0(g_s782_773,g_s293_293) ).

tff('Define:ctx:112',axiom,
    mem0(g_s276_276,g_s195_194) ).

tff('Define:ctx:1120',axiom,
    $greatereq(g_s782_773,0) ).

tff('Define:ctx:1121',axiom,
    mem0(g_s783_774,g_s301_301) ).

tff('Define:ctx:1122',axiom,
    mem0(g_s784_775,g_s301_301) ).

tff('Define:ctx:1123',axiom,
    $greatereq(g_s784_775,$uminus(2147483646)) ).

tff('Define:ctx:1124',axiom,
    ( $greatereq(g_s785_776,min_int)
    & $lesseq(g_s785_776,max_int) ) ).

tff('Define:ctx:1125',axiom,
    ( $greatereq(g_s786_777,min_int)
    & $lesseq(g_s786_777,max_int) ) ).

tff('Define:ctx:1126',axiom,
    mem0(g_s787_778,g_s301_301) ).

tff('Define:ctx:1127',axiom,
    mem0(g_s788_779,g_s301_301) ).

tff('Define:ctx:1128',axiom,
    ( $greatereq(g_s789_780,min_int)
    & $lesseq(g_s789_780,max_int) ) ).

tff('Define:ctx:1129',axiom,
    mem0(g_s790_781,g_s301_301) ).

tff('Define:ctx:113',axiom,
    mem0(g_s277_277,g_s195_194) ).

tff('Define:ctx:1130',axiom,
    $lesseq(g_s790_781,2147483646) ).

tff('Define:ctx:1131',axiom,
    ( $greatereq(g_s791_782,min_int)
    & $lesseq(g_s791_782,max_int) ) ).

tff('Define:ctx:1132',axiom,
    ( $greatereq(g_s792_783,min_int)
    & $lesseq(g_s792_783,max_int) ) ).

tff('Define:ctx:1133',axiom,
    mem0(g_s793_784,g_s301_301) ).

tff('Define:ctx:1134',axiom,
    mem0(g_s794_785,g_s301_301) ).

tff('Define:ctx:1135',axiom,
    mem0(g_s795_786,g_s301_301) ).

tff('Define:ctx:1136',axiom,
    mem0(g_s796_787,g_s301_301) ).

tff('Define:ctx:1137',axiom,
    g_s796_787 != 0 ).

tff('Define:ctx:1138',axiom,
    mem0(g_s797_788,g_s51_51) ).

tff('Define:ctx:1139',axiom,
    mem0(g_s798_789,g_s51_51) ).

tff('Define:ctx:114',axiom,
    mem0(g_s278_278,g_s195_194) ).

tff('Define:ctx:1140',axiom,
    mem0(g_s799_790,g_s51_51) ).

tff('Define:ctx:1141',axiom,
    mem0(g_s800_791,g_s297_297) ).

tff('Define:ctx:1142',axiom,
    mem0(g_s801_792,g_s301_301) ).

tff('Define:ctx:1143',axiom,
    $greater(g_s801_792,0) ).

tff('Define:ctx:1144',axiom,
    mem0(g_s802_793,g_s293_293) ).

tff('Define:ctx:1145',axiom,
    mem0(g_s803_794,g_s293_293) ).

tff('Define:ctx:1146',axiom,
    $less(0,g_s795_786) ).

tff('Define:ctx:1147',axiom,
    $less(0,g_s778_769) ).

tff('Define:ctx:1148',axiom,
    $less(0,g_s793_784) ).

tff('Define:ctx:1149',axiom,
    $less(g_s803_794,g_s802_793) ).

tff('Define:ctx:115',axiom,
    mem0(g_s279_279,g_s195_194) ).

tff('Define:ctx:1150',axiom,
    mem3(g_s804_795,g_s332_332) ).

tff('Define:ctx:1151',axiom,
    mem0(g_s805_796,g_s297_297) ).

tff('Define:ctx:1152',axiom,
    mem0(g_s806_797,g_s297_297) ).

tff('Define:ctx:1153',axiom,
    ! [X_1112: $int] :
      ( ( X_1112 = $sum(g_s806_797,1) )
     => mem0(X_1112,g_s297_297) ) ).

tff('Define:ctx:1154',axiom,
    mem0(g_s807_798,g_s297_297) ).

tff('Define:ctx:1155',axiom,
    mem0(g_s808_799,g_s301_301) ).

tff('Define:ctx:1156',axiom,
    mem0(g_s809_800,g_s51_51) ).

tff('Define:ctx:1157',axiom,
    mem0(g_s810_801,g_s293_293) ).

tff('Define:ctx:1158',axiom,
    mem0(g_s811_802,g_s301_301) ).

tff('Define:ctx:1159',axiom,
    mem0(g_s812_803,g_s301_301) ).

tff('Define:ctx:116',axiom,
    mem0(g_s280_281,g_s281_280) ).

tff('Define:ctx:1160',axiom,
    mem0(g_s813_804,g_s301_301) ).

tff('Define:ctx:1161',axiom,
    mem0(g_s814_805,g_s301_301) ).

tff('Define:ctx:1162',axiom,
    mem0(g_s815_806,g_s301_301) ).

tff('Define:ctx:1163',axiom,
    mem0(g_s816_807,g_s301_301) ).

tff('Define:ctx:1164',axiom,
    mem0(g_s817_808,g_s301_301) ).

tff('Define:ctx:1165',axiom,
    mem0(g_s818_809,g_s301_301) ).

tff('Define:ctx:1166',axiom,
    mem0(g_s819_810,g_s301_301) ).

tff('Define:ctx:1167',axiom,
    mem0(g_s820_811,g_s301_301) ).

tff('Define:ctx:1168',axiom,
    mem0(g_s821_812,g_s301_301) ).

tff('Define:ctx:1169',axiom,
    mem0(g_s822_813,g_s301_301) ).

tff('Define:ctx:117',axiom,
    mem0(g_s282_282,g_s281_280) ).

tff('Define:ctx:1170',axiom,
    mem0(g_s823_814,g_s301_301) ).

tff('Define:ctx:1171',axiom,
    mem0(g_s824_815,g_s301_301) ).

tff('Define:ctx:1172',axiom,
    mem0(g_s825_816,g_s301_301) ).

tff('Define:ctx:1173',axiom,
    mem0(g_s826_817,g_s301_301) ).

tff('Define:ctx:1174',axiom,
    mem0(g_s827_818,g_s301_301) ).

tff('Define:ctx:1175',axiom,
    $greatereq(g_s827_818,0) ).

tff('Define:ctx:1176',axiom,
    mem0(g_s828_819,g_s301_301) ).

tff('Define:ctx:1177',axiom,
    mem0(g_s829_820,g_s301_301) ).

tff('Define:ctx:1178',axiom,
    mem0(g_s830_821,g_s302_302) ).

tff('Define:ctx:1179',axiom,
    mem0(g_s831_822,g_s301_301) ).

tff('Define:ctx:118',axiom,
    mem0(g_s283_283,g_s281_280) ).

tff('Define:ctx:1180',axiom,
    $greatereq(g_s831_822,0) ).

tff('Define:ctx:1181',axiom,
    ! [X_1113: $int] :
      ( ( X_1113 = $difference($uminus(1000000000),g_s831_822) )
     => mem0(X_1113,g_s301_301) ) ).

tff('Define:ctx:1182',axiom,
    mem0(g_s832_823,g_s301_301) ).

tff('Define:ctx:1183',axiom,
    $greatereq(g_s832_823,0) ).

tff('Define:ctx:1184',axiom,
    ? [X_1114: set_2] :
      ( ! [X_1115: $int,X_1116: $int] :
          ( mem2(X_1116,X_1115,X_1114)
        <=> mem2(X_1116,X_1115,g_s833_824) )
      & ! [X_1117: $int,X_1118: $int,X_1119: $int] :
          ( ( mem2(X_1117,X_1118,X_1114)
            & mem2(X_1117,X_1119,X_1114) )
         => ( X_1118 = X_1119 ) )
      & ! [X_1120: $int] :
          ( mem0(X_1120,g_s531_531)
        <=> ? [X_1121: $int] : mem2(X_1120,X_1121,X_1114) )
      & ! [X_1122: $int] :
          ( ? [X_1123: $int] : mem2(X_1123,X_1122,X_1114)
         => mem0(X_1122,g_s304_304) ) ) ).

tff('Define:ctx:1185',axiom,
    ! [L_s834: $int] :
      ( mem0(L_s834,g_s531_531)
     => ! [X_1124: $int] :
          ( mem2(L_s834,X_1124,g_s833_824)
         => $lesseq(0,X_1124) ) ) ).

tff('Define:ctx:1186',axiom,
    ? [X_1125: set_7] :
      ( ! [X_1126: $o,X_1127: $int] :
          ( mem7(X_1127,(X_1126),X_1125)
        <=> mem7(X_1127,(X_1126),g_s835_825) )
      & ! [X_1128: $int,X_1129: $o,X_1130: $o] :
          ( ( mem7(X_1128,(X_1129),X_1125)
            & mem7(X_1128,(X_1130),X_1125) )
         => ( (X_1129)
          <=> (X_1130) ) )
      & ! [X_1131: $int] :
          ( mem0(X_1131,g_s531_531)
        <=> ? [X_1132: $o] : mem7(X_1131,(X_1132),X_1125) )
      & ! [X_1133: $o] :
          ( ? [X_1134: $int] : mem7(X_1134,(X_1133),X_1125)
         => mem3((X_1133),g_s332_332) ) ) ).

tff('Define:ctx:1187',axiom,
    ! [L_s834: $int] :
      ( mem0(L_s834,g_s531_531)
     => ( ! [X_1135: $o] :
            ( ( (X_1135)
            <=> $false )
           => mem7(L_s834,(X_1135),g_s835_825) )
       => ! [X_1136: $int] :
            ( ( X_1136 = 0 )
           => mem2(L_s834,X_1136,g_s833_824) ) ) ) ).

tff('Define:ctx:1188',axiom,
    ( $greatereq(g_s836_826,min_int)
    & $lesseq(g_s836_826,max_int) ) ).

tff('Define:ctx:1189',axiom,
    $greatereq(g_s836_826,0) ).

tff('Define:ctx:119',axiom,
    ( g_s191_192
  <=> $true ) ).

tff('Define:ctx:1190',axiom,
    mem3(g_s837_827,g_s332_332) ).

tff('Define:ctx:1191',axiom,
    mem0(g_s838_828,g_s638_638) ).

tff('Define:ctx:1192',axiom,
    mem0(g_s839_829,g_s186_186) ).

tff('Define:ctx:1193',axiom,
    mem0(g_s840_830,g_s301_301) ).

tff('Define:ctx:1194',axiom,
    mem0(g_s841_831,g_s301_301) ).

tff('Define:ctx:1195',axiom,
    ? [X_1137: set_2] :
      ( ! [X_1138: $int,X_1139: $int] :
          ( mem2(X_1139,X_1138,X_1137)
        <=> mem2(X_1139,X_1138,g_s842_832) )
      & ! [X_1140: $int,X_1141: $int,X_1142: $int] :
          ( ( mem2(X_1140,X_1141,X_1137)
            & mem2(X_1140,X_1142,X_1137) )
         => ( X_1141 = X_1142 ) )
      & ! [X_1143: $int] :
          ( mem0(X_1143,g_s539_539)
        <=> ? [X_1144: $int] : mem2(X_1143,X_1144,X_1137) )
      & ! [X_1145: $int] :
          ( ? [X_1146: $int] : mem2(X_1146,X_1145,X_1137)
         => mem0(X_1145,g_s542_542) ) ) ).

tff('Define:ctx:1196',axiom,
    ( ? [X_1147: set_8] :
        ( ! [X_1148: $int,X_1149: $int,X_1150: $int] :
            ( mem8(X_1150,X_1149,X_1148,X_1147)
          <=> mem8(X_1150,X_1149,X_1148,g_s843_833) )
        & ! [X_1151: $int,X_1152: $int,X_1153: $int,X_1154: $int] :
            ( ( mem8(X_1152,X_1151,X_1153,X_1147)
              & mem8(X_1152,X_1151,X_1154,X_1147) )
           => ( X_1153 = X_1154 ) )
        & ! [X_1155: $int,X_1156: $int] :
            ( ( mem0(X_1156,g_s534_534)
              & mem0(X_1155,g_s292_292) )
          <=> ? [X_1157: $int] : mem8(X_1156,X_1155,X_1157,X_1147) )
        & ! [X_1158: $int] :
            ( ? [X_1159: $int,X_1160: $int] : mem8(X_1160,X_1159,X_1158,X_1147)
           => mem0(X_1158,g_s539_539) ) )
    & ! [X_1161: $int,X_1162: $int,X_1163: $int,X_1164: $int,X_1165: $int] :
        ( ( mem8(X_1163,X_1162,X_1161,g_s843_833)
          & mem8(X_1165,X_1164,X_1161,g_s843_833) )
       => ( ( X_1163 = X_1165 )
          & ( X_1162 = X_1164 ) ) ) ) ).

tff('Define:ctx:1197',axiom,
    ( ? [X_1166: set_8] :
        ( ! [X_1167: $int,X_1168: $int,X_1169: $int] :
            ( mem8(X_1169,X_1168,X_1167,X_1166)
          <=> mem8(X_1169,X_1168,X_1167,g_s844_834) )
        & ! [X_1170: $int,X_1171: $int,X_1172: $int,X_1173: $int] :
            ( ( mem8(X_1171,X_1170,X_1172,X_1166)
              & mem8(X_1171,X_1170,X_1173,X_1166) )
           => ( X_1172 = X_1173 ) )
        & ! [X_1174: $int,X_1175: $int] :
            ( ( mem0(X_1175,g_s534_534)
              & mem0(X_1174,g_s292_292) )
          <=> ? [X_1176: $int] : mem8(X_1175,X_1174,X_1176,X_1166) )
        & ! [X_1177: $int] :
            ( ? [X_1178: $int,X_1179: $int] : mem8(X_1179,X_1178,X_1177,X_1166)
           => mem0(X_1177,g_s539_539) ) )
    & ! [X_1180: $int,X_1181: $int,X_1182: $int,X_1183: $int,X_1184: $int] :
        ( ( mem8(X_1182,X_1181,X_1180,g_s844_834)
          & mem8(X_1184,X_1183,X_1180,g_s844_834) )
       => ( ( X_1182 = X_1184 )
          & ( X_1181 = X_1183 ) ) ) ) ).

tff('Define:ctx:1198',axiom,
    ( ? [X_1185: set_8] :
        ( ! [X_1186: $int,X_1187: $int,X_1188: $int] :
            ( mem8(X_1188,X_1187,X_1186,X_1185)
          <=> mem8(X_1188,X_1187,X_1186,g_s845_835) )
        & ! [X_1189: $int,X_1190: $int,X_1191: $int,X_1192: $int] :
            ( ( mem8(X_1190,X_1189,X_1191,X_1185)
              & mem8(X_1190,X_1189,X_1192,X_1185) )
           => ( X_1191 = X_1192 ) )
        & ! [X_1193: $int,X_1194: $int] :
            ( ( mem0(X_1194,g_s536_536)
              & mem0(X_1193,g_s308_308) )
          <=> ? [X_1195: $int] : mem8(X_1194,X_1193,X_1195,X_1185) )
        & ! [X_1196: $int] :
            ( ? [X_1197: $int,X_1198: $int] : mem8(X_1198,X_1197,X_1196,X_1185)
           => mem0(X_1196,g_s539_539) ) )
    & ! [X_1199: $int,X_1200: $int,X_1201: $int,X_1202: $int,X_1203: $int] :
        ( ( mem8(X_1201,X_1200,X_1199,g_s845_835)
          & mem8(X_1203,X_1202,X_1199,g_s845_835) )
       => ( ( X_1201 = X_1203 )
          & ( X_1200 = X_1202 ) ) ) ) ).

tff('Define:ctx:1199',axiom,
    ? [X_1204: set_2] :
      ( ! [X_1205: $int,X_1206: $int] :
          ( mem2(X_1206,X_1205,X_1204)
        <=> mem2(X_1206,X_1205,g_s846_836) )
      & ! [X_1207: $int,X_1208: $int,X_1209: $int] :
          ( ( mem2(X_1207,X_1208,X_1204)
            & mem2(X_1207,X_1209,X_1204) )
         => ( X_1208 = X_1209 ) )
      & ! [X_1210: $int] :
          ( mem0(X_1210,g_s539_539)
        <=> ? [X_1211: $int] : mem2(X_1210,X_1211,X_1204) )
      & ! [X_1212: $int] :
          ( ? [X_1213: $int] : mem2(X_1213,X_1212,X_1204)
         => mem0(X_1212,g_s534_534) ) ) ).

tff('Define:ctx:12',axiom,
    ( ! [X_17: $int] :
        ( mem0(X_17,g_s51_51)
      <=> ( ( X_17 = g_s52_52 )
          | ( X_17 = g_s53_53 )
          | ( X_17 = g_s54_54 )
          | ( X_17 = g_s55_55 ) ) )
    & ( g_s52_52 != g_s53_53 )
    & ( g_s53_53 != g_s54_54 )
    & ( g_s54_54 != g_s55_55 ) ) ).

tff('Define:ctx:120',axiom,
    ( g_s193_193
  <=> $false ) ).

tff('Define:ctx:1200',axiom,
    ? [X_1214: set_2] :
      ( ! [X_1215: $int,X_1216: $int] :
          ( mem2(X_1216,X_1215,X_1214)
        <=> mem2(X_1216,X_1215,g_s847_837) )
      & ! [X_1217: $int,X_1218: $int,X_1219: $int] :
          ( ( mem2(X_1217,X_1218,X_1214)
            & mem2(X_1217,X_1219,X_1214) )
         => ( X_1218 = X_1219 ) )
      & ! [X_1220: $int] :
          ( mem0(X_1220,g_s539_539)
        <=> ? [X_1221: $int] : mem2(X_1220,X_1221,X_1214) )
      & ! [X_1222: $int] :
          ( ? [X_1223: $int] : mem2(X_1223,X_1222,X_1214)
         => mem0(X_1222,g_s292_292) ) ) ).

tff('Define:ctx:1201',axiom,
    ? [X_1224: set_2] :
      ( ! [X_1225: $int,X_1226: $int] :
          ( mem2(X_1226,X_1225,X_1224)
        <=> mem2(X_1226,X_1225,g_s848_838) )
      & ! [X_1227: $int,X_1228: $int,X_1229: $int] :
          ( ( mem2(X_1227,X_1228,X_1224)
            & mem2(X_1227,X_1229,X_1224) )
         => ( X_1228 = X_1229 ) )
      & ! [X_1230: $int] :
          ( mem0(X_1230,g_s534_534)
        <=> ? [X_1231: $int] : mem2(X_1230,X_1231,X_1224) )
      & ! [X_1232: $int] :
          ( ? [X_1233: $int] : mem2(X_1233,X_1232,X_1224)
         => mem0(X_1232,g_s297_297) ) ) ).

tff('Define:ctx:1202',axiom,
    ? [X_1234: set_2] :
      ( ! [X_1235: $int,X_1236: $int] :
          ( mem2(X_1236,X_1235,X_1234)
        <=> mem2(X_1236,X_1235,g_s849_839) )
      & ! [X_1237: $int,X_1238: $int,X_1239: $int] :
          ( ( mem2(X_1237,X_1238,X_1234)
            & mem2(X_1237,X_1239,X_1234) )
         => ( X_1238 = X_1239 ) )
      & ! [X_1240: $int] :
          ( mem0(X_1240,g_s534_534)
        <=> ? [X_1241: $int] : mem2(X_1240,X_1241,X_1234) )
      & ! [X_1242: $int] :
          ( ? [X_1243: $int] : mem2(X_1243,X_1242,X_1234)
         => mem0(X_1242,g_s297_297) ) ) ).

tff('Define:ctx:1203',axiom,
    ? [X_1244: set_2] :
      ( ! [X_1245: $int,X_1246: $int] :
          ( mem2(X_1246,X_1245,X_1244)
        <=> mem2(X_1246,X_1245,g_s850_840) )
      & ! [X_1247: $int,X_1248: $int,X_1249: $int] :
          ( ( mem2(X_1247,X_1248,X_1244)
            & mem2(X_1247,X_1249,X_1244) )
         => ( X_1248 = X_1249 ) )
      & ! [X_1250: $int] :
          ( mem0(X_1250,g_s534_534)
        <=> ? [X_1251: $int] : mem2(X_1250,X_1251,X_1244) )
      & ! [X_1252: $int] :
          ( ? [X_1253: $int] : mem2(X_1253,X_1252,X_1244)
         => mem0(X_1252,g_s129_129) ) ) ).

tff('Define:ctx:1204',axiom,
    ? [X_1254: set_2] :
      ( ! [X_1255: $int,X_1256: $int] :
          ( mem2(X_1256,X_1255,X_1254)
        <=> mem2(X_1256,X_1255,g_s851_841) )
      & ! [X_1257: $int,X_1258: $int,X_1259: $int] :
          ( ( mem2(X_1257,X_1258,X_1254)
            & mem2(X_1257,X_1259,X_1254) )
         => ( X_1258 = X_1259 ) )
      & ! [X_1260: $int] :
          ( mem0(X_1260,g_s534_534)
        <=> ? [X_1261: $int] : mem2(X_1260,X_1261,X_1254) )
      & ! [X_1262: $int] :
          ( ? [X_1263: $int] : mem2(X_1263,X_1262,X_1254)
         => mem0(X_1262,g_s535_535) ) ) ).

tff('Define:ctx:1205',axiom,
    ? [X_1264: set_2] :
      ( ! [X_1265: $int,X_1266: $int] :
          ( mem2(X_1266,X_1265,X_1264)
        <=> mem2(X_1266,X_1265,g_s852_842) )
      & ! [X_1267: $int,X_1268: $int,X_1269: $int] :
          ( ( mem2(X_1267,X_1268,X_1264)
            & mem2(X_1267,X_1269,X_1264) )
         => ( X_1268 = X_1269 ) )
      & ! [X_1270: $int] :
          ( mem0(X_1270,g_s534_534)
        <=> ? [X_1271: $int] : mem2(X_1270,X_1271,X_1264) )
      & ! [X_1272: $int] :
          ( ? [X_1273: $int] : mem2(X_1273,X_1272,X_1264)
         => mem0(X_1272,g_s292_292) ) ) ).

tff('Define:ctx:1206',axiom,
    ? [X_1274: set_2] :
      ( ! [X_1275: $int,X_1276: $int] :
          ( mem2(X_1276,X_1275,X_1274)
        <=> mem2(X_1276,X_1275,g_s853_843) )
      & ! [X_1277: $int,X_1278: $int,X_1279: $int] :
          ( ( mem2(X_1277,X_1278,X_1274)
            & mem2(X_1277,X_1279,X_1274) )
         => ( X_1278 = X_1279 ) )
      & ! [X_1280: $int] :
          ( mem0(X_1280,g_s534_534)
        <=> ? [X_1281: $int] : mem2(X_1280,X_1281,X_1274) )
      & ! [X_1282: $int] :
          ( ? [X_1283: $int] : mem2(X_1283,X_1282,X_1274)
         => mem0(X_1282,g_s132_132) ) ) ).

tff('Define:ctx:1207',axiom,
    ? [X_1284: set_2] :
      ( ! [X_1285: $int,X_1286: $int] :
          ( mem2(X_1286,X_1285,X_1284)
        <=> mem2(X_1286,X_1285,g_s854_844) )
      & ! [X_1287: $int,X_1288: $int,X_1289: $int] :
          ( ( mem2(X_1287,X_1288,X_1284)
            & mem2(X_1287,X_1289,X_1284) )
         => ( X_1288 = X_1289 ) )
      & ! [X_1290: $int] :
          ( mem0(X_1290,g_s534_534)
        <=> ? [X_1291: $int] : mem2(X_1290,X_1291,X_1284) )
      & ! [X_1292: $int] :
          ( ? [X_1293: $int] : mem2(X_1293,X_1292,X_1284)
         => mem0(X_1292,g_s129_129) ) ) ).

tff('Define:ctx:1208',axiom,
    ? [X_1294: set_2] :
      ( ! [X_1295: $int,X_1296: $int] :
          ( mem2(X_1296,X_1295,X_1294)
        <=> mem2(X_1296,X_1295,g_s855_845) )
      & ! [X_1297: $int,X_1298: $int,X_1299: $int] :
          ( ( mem2(X_1297,X_1298,X_1294)
            & mem2(X_1297,X_1299,X_1294) )
         => ( X_1298 = X_1299 ) )
      & ! [X_1300: $int] :
          ( mem0(X_1300,g_s534_534)
        <=> ? [X_1301: $int] : mem2(X_1300,X_1301,X_1294) )
      & ! [X_1302: $int] :
          ( ? [X_1303: $int] : mem2(X_1303,X_1302,X_1294)
         => mem0(X_1302,g_s535_535) ) ) ).

tff('Define:ctx:1209',axiom,
    ? [X_1304: set_2] :
      ( ! [X_1305: $int,X_1306: $int] :
          ( mem2(X_1306,X_1305,X_1304)
        <=> mem2(X_1306,X_1305,g_s856_846) )
      & ! [X_1307: $int,X_1308: $int,X_1309: $int] :
          ( ( mem2(X_1307,X_1308,X_1304)
            & mem2(X_1307,X_1309,X_1304) )
         => ( X_1308 = X_1309 ) )
      & ! [X_1310: $int] :
          ( mem0(X_1310,g_s534_534)
        <=> ? [X_1311: $int] : mem2(X_1310,X_1311,X_1304) )
      & ! [X_1312: $int] :
          ( ? [X_1313: $int] : mem2(X_1313,X_1312,X_1304)
         => mem0(X_1312,g_s292_292) ) ) ).

tff('Define:ctx:121',axiom,
    g_s194_195 = $uminus(1000000000) ).

tff('Define:ctx:1210',axiom,
    ? [X_1314: set_2] :
      ( ! [X_1315: $int,X_1316: $int] :
          ( mem2(X_1316,X_1315,X_1314)
        <=> mem2(X_1316,X_1315,g_s857_847) )
      & ! [X_1317: $int,X_1318: $int,X_1319: $int] :
          ( ( mem2(X_1317,X_1318,X_1314)
            & mem2(X_1317,X_1319,X_1314) )
         => ( X_1318 = X_1319 ) )
      & ! [X_1320: $int] :
          ( mem0(X_1320,g_s534_534)
        <=> ? [X_1321: $int] : mem2(X_1320,X_1321,X_1314) )
      & ! [X_1322: $int] :
          ( ? [X_1323: $int] : mem2(X_1323,X_1322,X_1314)
         => mem0(X_1322,g_s132_132) ) ) ).

tff('Define:ctx:1211',axiom,
    ? [X_1324: set_2] :
      ( ! [X_1325: $int,X_1326: $int] :
          ( mem2(X_1326,X_1325,X_1324)
        <=> mem2(X_1326,X_1325,g_s858_848) )
      & ! [X_1327: $int,X_1328: $int,X_1329: $int] :
          ( ( mem2(X_1327,X_1328,X_1324)
            & mem2(X_1327,X_1329,X_1324) )
         => ( X_1328 = X_1329 ) )
      & ! [X_1330: $int] :
          ( mem0(X_1330,g_s534_534)
        <=> ? [X_1331: $int] : mem2(X_1330,X_1331,X_1324) )
      & ! [X_1332: $int] :
          ( ? [X_1333: $int] : mem2(X_1333,X_1332,X_1324)
         => mem0(X_1332,g_s129_129) ) ) ).

tff('Define:ctx:1212',axiom,
    ? [X_1334: set_2] :
      ( ! [X_1335: $int,X_1336: $int] :
          ( mem2(X_1336,X_1335,X_1334)
        <=> mem2(X_1336,X_1335,g_s859_849) )
      & ! [X_1337: $int,X_1338: $int,X_1339: $int] :
          ( ( mem2(X_1337,X_1338,X_1334)
            & mem2(X_1337,X_1339,X_1334) )
         => ( X_1338 = X_1339 ) )
      & ! [X_1340: $int] :
          ( mem0(X_1340,g_s534_534)
        <=> ? [X_1341: $int] : mem2(X_1340,X_1341,X_1334) )
      & ! [X_1342: $int] :
          ( ? [X_1343: $int] : mem2(X_1343,X_1342,X_1334)
         => mem0(X_1342,g_s535_535) ) ) ).

tff('Define:ctx:1213',axiom,
    ? [X_1344: set_2] :
      ( ! [X_1345: $int,X_1346: $int] :
          ( mem2(X_1346,X_1345,X_1344)
        <=> mem2(X_1346,X_1345,g_s860_850) )
      & ! [X_1347: $int,X_1348: $int,X_1349: $int] :
          ( ( mem2(X_1347,X_1348,X_1344)
            & mem2(X_1347,X_1349,X_1344) )
         => ( X_1348 = X_1349 ) )
      & ! [X_1350: $int] :
          ( mem0(X_1350,g_s534_534)
        <=> ? [X_1351: $int] : mem2(X_1350,X_1351,X_1344) )
      & ! [X_1352: $int] :
          ( ? [X_1353: $int] : mem2(X_1353,X_1352,X_1344)
         => mem0(X_1352,g_s292_292) ) ) ).

tff('Define:ctx:1214',axiom,
    ? [X_1354: set_2] :
      ( ! [X_1355: $int,X_1356: $int] :
          ( mem2(X_1356,X_1355,X_1354)
        <=> mem2(X_1356,X_1355,g_s861_851) )
      & ! [X_1357: $int,X_1358: $int,X_1359: $int] :
          ( ( mem2(X_1357,X_1358,X_1354)
            & mem2(X_1357,X_1359,X_1354) )
         => ( X_1358 = X_1359 ) )
      & ! [X_1360: $int] :
          ( mem0(X_1360,g_s534_534)
        <=> ? [X_1361: $int] : mem2(X_1360,X_1361,X_1354) )
      & ! [X_1362: $int] :
          ( ? [X_1363: $int] : mem2(X_1363,X_1362,X_1354)
         => mem0(X_1362,g_s132_132) ) ) ).

tff('Define:ctx:1215',axiom,
    ? [X_1364: set_2] :
      ( ! [X_1365: $int,X_1366: $int] :
          ( mem2(X_1366,X_1365,X_1364)
        <=> mem2(X_1366,X_1365,g_s862_852) )
      & ! [X_1367: $int,X_1368: $int,X_1369: $int] :
          ( ( mem2(X_1367,X_1368,X_1364)
            & mem2(X_1367,X_1369,X_1364) )
         => ( X_1368 = X_1369 ) )
      & ! [X_1370: $int] :
          ( mem0(X_1370,g_s534_534)
        <=> ? [X_1371: $int] : mem2(X_1370,X_1371,X_1364) )
      & ! [X_1372: $int] :
          ( ? [X_1373: $int] : mem2(X_1373,X_1372,X_1364)
         => mem0(X_1372,g_s129_129) ) ) ).

tff('Define:ctx:1216',axiom,
    ? [X_1374: set_2] :
      ( ! [X_1375: $int,X_1376: $int] :
          ( mem2(X_1376,X_1375,X_1374)
        <=> mem2(X_1376,X_1375,g_s863_853) )
      & ! [X_1377: $int,X_1378: $int,X_1379: $int] :
          ( ( mem2(X_1377,X_1378,X_1374)
            & mem2(X_1377,X_1379,X_1374) )
         => ( X_1378 = X_1379 ) )
      & ! [X_1380: $int] :
          ( mem0(X_1380,g_s534_534)
        <=> ? [X_1381: $int] : mem2(X_1380,X_1381,X_1374) )
      & ! [X_1382: $int] :
          ( ? [X_1383: $int] : mem2(X_1383,X_1382,X_1374)
         => mem0(X_1382,g_s535_535) ) ) ).

tff('Define:ctx:1217',axiom,
    ? [X_1384: set_2] :
      ( ! [X_1385: $int,X_1386: $int] :
          ( mem2(X_1386,X_1385,X_1384)
        <=> mem2(X_1386,X_1385,g_s864_854) )
      & ! [X_1387: $int,X_1388: $int,X_1389: $int] :
          ( ( mem2(X_1387,X_1388,X_1384)
            & mem2(X_1387,X_1389,X_1384) )
         => ( X_1388 = X_1389 ) )
      & ! [X_1390: $int] :
          ( mem0(X_1390,g_s534_534)
        <=> ? [X_1391: $int] : mem2(X_1390,X_1391,X_1384) )
      & ! [X_1392: $int] :
          ( ? [X_1393: $int] : mem2(X_1393,X_1392,X_1384)
         => mem0(X_1392,g_s292_292) ) ) ).

tff('Define:ctx:1218',axiom,
    ? [X_1394: set_2] :
      ( ! [X_1395: $int,X_1396: $int] :
          ( mem2(X_1396,X_1395,X_1394)
        <=> mem2(X_1396,X_1395,g_s865_855) )
      & ! [X_1397: $int,X_1398: $int,X_1399: $int] :
          ( ( mem2(X_1397,X_1398,X_1394)
            & mem2(X_1397,X_1399,X_1394) )
         => ( X_1398 = X_1399 ) )
      & ! [X_1400: $int] :
          ( mem0(X_1400,g_s534_534)
        <=> ? [X_1401: $int] : mem2(X_1400,X_1401,X_1394) )
      & ! [X_1402: $int] :
          ( ? [X_1403: $int] : mem2(X_1403,X_1402,X_1394)
         => mem0(X_1402,g_s132_132) ) ) ).

tff('Define:ctx:1219',axiom,
    ? [X_1404: set_2] :
      ( ! [X_1405: $int,X_1406: $int] :
          ( mem2(X_1406,X_1405,X_1404)
        <=> mem2(X_1406,X_1405,g_s866_856) )
      & ! [X_1407: $int,X_1408: $int,X_1409: $int] :
          ( ( mem2(X_1407,X_1408,X_1404)
            & mem2(X_1407,X_1409,X_1404) )
         => ( X_1408 = X_1409 ) )
      & ! [X_1410: $int] :
          ( mem0(X_1410,g_s534_534)
        <=> ? [X_1411: $int] : mem2(X_1410,X_1411,X_1404) )
      & ! [X_1412: $int] :
          ( ? [X_1413: $int] : mem2(X_1413,X_1412,X_1404)
         => mem0(X_1412,g_s293_293) ) ) ).

tff('Define:ctx:122',axiom,
    g_s196_196 = $uminus(10000) ).

tff('Define:ctx:1220',axiom,
    ? [X_1414: set_2] :
      ( ! [X_1415: $int,X_1416: $int] :
          ( mem2(X_1416,X_1415,X_1414)
        <=> mem2(X_1416,X_1415,g_s867_857) )
      & ! [X_1417: $int,X_1418: $int,X_1419: $int] :
          ( ( mem2(X_1417,X_1418,X_1414)
            & mem2(X_1417,X_1419,X_1414) )
         => ( X_1418 = X_1419 ) )
      & ! [X_1420: $int] :
          ( mem0(X_1420,g_s534_534)
        <=> ? [X_1421: $int] : mem2(X_1420,X_1421,X_1414) )
      & ! [X_1422: $int] :
          ( ? [X_1423: $int] : mem2(X_1423,X_1422,X_1414)
         => mem0(X_1422,g_s293_293) ) ) ).

tff('Define:ctx:1221',axiom,
    ? [X_1424: set_2] :
      ( ! [X_1425: $int,X_1426: $int] :
          ( mem2(X_1426,X_1425,X_1424)
        <=> mem2(X_1426,X_1425,g_s868_858) )
      & ! [X_1427: $int,X_1428: $int,X_1429: $int] :
          ( ( mem2(X_1427,X_1428,X_1424)
            & mem2(X_1427,X_1429,X_1424) )
         => ( X_1428 = X_1429 ) )
      & ! [X_1430: $int] :
          ( mem0(X_1430,g_s534_534)
        <=> ? [X_1431: $int] : mem2(X_1430,X_1431,X_1424) )
      & ! [X_1432: $int] :
          ( ? [X_1433: $int] : mem2(X_1433,X_1432,X_1424)
         => mem0(X_1432,g_s297_297) ) ) ).

tff('Define:ctx:1222',axiom,
    ? [X_1434: set_2] :
      ( ! [X_1435: $int,X_1436: $int] :
          ( mem2(X_1436,X_1435,X_1434)
        <=> mem2(X_1436,X_1435,g_s869_859) )
      & ! [X_1437: $int,X_1438: $int,X_1439: $int] :
          ( ( mem2(X_1437,X_1438,X_1434)
            & mem2(X_1437,X_1439,X_1434) )
         => ( X_1438 = X_1439 ) )
      & ! [X_1440: $int] :
          ( mem0(X_1440,g_s534_534)
        <=> ? [X_1441: $int] : mem2(X_1440,X_1441,X_1434) )
      & ! [X_1442: $int] :
          ( ? [X_1443: $int] : mem2(X_1443,X_1442,X_1434)
         => mem0(X_1442,g_s297_297) ) ) ).

tff('Define:ctx:1223',axiom,
    ? [X_1444: set_2] :
      ( ! [X_1445: $int,X_1446: $int] :
          ( mem2(X_1446,X_1445,X_1444)
        <=> mem2(X_1446,X_1445,g_s870_860) )
      & ! [X_1447: $int,X_1448: $int,X_1449: $int] :
          ( ( mem2(X_1447,X_1448,X_1444)
            & mem2(X_1447,X_1449,X_1444) )
         => ( X_1448 = X_1449 ) )
      & ! [X_1450: $int] :
          ( mem0(X_1450,g_s539_539)
        <=> ? [X_1451: $int] : mem2(X_1450,X_1451,X_1444) )
      & ! [X_1452: $int] :
          ( ? [X_1453: $int] : mem2(X_1453,X_1452,X_1444)
         => mem0(X_1452,g_s297_297) ) ) ).

tff('Define:ctx:1224',axiom,
    ? [X_1454: set_2] :
      ( ! [X_1455: $int,X_1456: $int] :
          ( mem2(X_1456,X_1455,X_1454)
        <=> mem2(X_1456,X_1455,g_s871_861) )
      & ! [X_1457: $int,X_1458: $int,X_1459: $int] :
          ( ( mem2(X_1457,X_1458,X_1454)
            & mem2(X_1457,X_1459,X_1454) )
         => ( X_1458 = X_1459 ) )
      & ! [X_1460: $int] :
          ( mem0(X_1460,g_s539_539)
        <=> ? [X_1461: $int] : mem2(X_1460,X_1461,X_1454) )
      & ! [X_1462: $int] :
          ( ? [X_1463: $int] : mem2(X_1463,X_1462,X_1454)
         => mem0(X_1462,g_s297_297) ) ) ).

tff('Define:ctx:1225',axiom,
    ! [X_1464: $int,X_1465: $int] :
      ( mem2(X_1465,X_1464,g_s872_862)
     => ( mem0(X_1465,g_s539_539)
        & mem0(X_1464,g_s539_539) ) ) ).

tff('Define:ctx:1226',axiom,
    ? [X_1466: set_9] :
      ( ! [X_1467: set_0,X_1468: $int,X_1469: $int] :
          ( mem9(X_1469,X_1468,X_1467,X_1466)
        <=> mem9(X_1469,X_1468,X_1467,g_s873_863) )
      & ! [X_1470: $int,X_1471: $int,X_1472: set_0,X_1473: set_0] :
          ( ( mem9(X_1471,X_1470,X_1472,X_1466)
            & mem9(X_1471,X_1470,X_1473,X_1466) )
         => ! [X_1474: $int] :
              ( mem0(X_1474,X_1472)
            <=> mem0(X_1474,X_1473) ) )
      & ! [X_1475: $int,X_1476: $int] :
          ( mem2(X_1476,X_1475,g_s872_862)
        <=> ? [X_1477: set_0] : mem9(X_1476,X_1475,X_1477,X_1466) )
      & ! [X_1478: set_0] :
          ( ? [X_1479: $int,X_1480: $int] : mem9(X_1480,X_1479,X_1478,X_1466)
         => ! [X_1481: $int] :
              ( mem0(X_1481,X_1478)
             => mem0(X_1481,g_s546_546) ) ) ) ).

tff('Define:ctx:1227',axiom,
    ( ! [X_1482: set_0,X_1483: $int,X_1484: $int] :
        ( mem9(X_1484,X_1483,X_1482,g_s874_864)
       => ( mem0(X_1484,g_s539_539)
          & mem0(X_1483,g_s539_539)
          & ! [X_1485: $int] :
              ( mem0(X_1485,X_1482)
             => mem0(X_1485,g_s546_546) ) ) )
    & ! [X_1486: $int,X_1487: $int,X_1488: set_0,X_1489: set_0] :
        ( ( mem9(X_1487,X_1486,X_1488,g_s874_864)
          & mem9(X_1487,X_1486,X_1489,g_s874_864) )
       => ! [X_1490: $int] :
            ( mem0(X_1490,X_1488)
          <=> mem0(X_1490,X_1489) ) ) ) ).

tff('Define:ctx:1228',axiom,
    ? [X_1491: set_2] :
      ( ! [X_1492: $int,X_1493: $int] :
          ( mem2(X_1493,X_1492,X_1491)
        <=> mem2(X_1493,X_1492,g_s875_865) )
      & ! [X_1494: $int,X_1495: $int,X_1496: $int] :
          ( ( mem2(X_1494,X_1495,X_1491)
            & mem2(X_1494,X_1496,X_1491) )
         => ( X_1495 = X_1496 ) )
      & ! [X_1497: $int] :
          ( mem0(X_1497,g_s539_539)
        <=> ? [X_1498: $int] : mem2(X_1497,X_1498,X_1491) )
      & ! [X_1499: $int] :
          ( ? [X_1500: $int] : mem2(X_1500,X_1499,X_1491)
         => mem0(X_1499,g_s304_304) ) ) ).

tff('Define:ctx:1229',axiom,
    ? [X_1501: set_2] :
      ( ! [X_1502: $int,X_1503: $int] :
          ( mem2(X_1503,X_1502,X_1501)
        <=> mem2(X_1503,X_1502,g_s876_866) )
      & ! [X_1504: $int,X_1505: $int,X_1506: $int] :
          ( ( mem2(X_1504,X_1505,X_1501)
            & mem2(X_1504,X_1506,X_1501) )
         => ( X_1505 = X_1506 ) )
      & ! [X_1507: $int] :
          ( mem0(X_1507,g_s534_534)
        <=> ? [X_1508: $int] : mem2(X_1507,X_1508,X_1501) )
      & ! [X_1509: $int] :
          ( ? [X_1510: $int] : mem2(X_1510,X_1509,X_1501)
         => mem0(X_1509,g_s322_322) ) ) ).

tff('Define:ctx:123',axiom,
    g_s197_197 = $uminus(1) ).

tff('Define:ctx:1230',axiom,
    ? [X_1511: set_2] :
      ( ! [X_1512: $int,X_1513: $int] :
          ( mem2(X_1513,X_1512,X_1511)
        <=> mem2(X_1513,X_1512,g_s877_867) )
      & ! [X_1514: $int,X_1515: $int,X_1516: $int] :
          ( ( mem2(X_1514,X_1515,X_1511)
            & mem2(X_1514,X_1516,X_1511) )
         => ( X_1515 = X_1516 ) )
      & ! [X_1517: $int] :
          ( mem0(X_1517,g_s536_536)
        <=> ? [X_1518: $int] : mem2(X_1517,X_1518,X_1511) )
      & ! [X_1519: $int] :
          ( ? [X_1520: $int] : mem2(X_1520,X_1519,X_1511)
         => mem0(X_1519,g_s326_326) ) ) ).

tff('Define:ctx:1231',axiom,
    mem0(g_s878_868,g_s537_537) ).

tff('Define:ctx:1232',axiom,
    mem0(g_s879_869,g_s537_537) ).

tff('Define:ctx:1233',axiom,
    ? [X_1521: set_2] :
      ( ! [X_1522: $int,X_1523: $int] :
          ( mem2(X_1523,X_1522,X_1521)
        <=> mem2(X_1523,X_1522,g_s880_870) )
      & ! [X_1524: $int,X_1525: $int,X_1526: $int] :
          ( ( mem2(X_1524,X_1525,X_1521)
            & mem2(X_1524,X_1526,X_1521) )
         => ( X_1525 = X_1526 ) )
      & ! [X_1527: $int] :
          ( mem0(X_1527,g_s534_534)
        <=> ? [X_1528: $int] : mem2(X_1527,X_1528,X_1521) )
      & ! [X_1529: $int] :
          ( ? [X_1530: $int] : mem2(X_1530,X_1529,X_1521)
         => mem0(X_1529,g_s644_644) ) ) ).

tff('Define:ctx:1234',axiom,
    ? [X_1531: set_2] :
      ( ! [X_1532: $int,X_1533: $int] :
          ( mem2(X_1533,X_1532,X_1531)
        <=> mem2(X_1533,X_1532,g_s881_871) )
      & ! [X_1534: $int,X_1535: $int,X_1536: $int] :
          ( ( mem2(X_1534,X_1535,X_1531)
            & mem2(X_1534,X_1536,X_1531) )
         => ( X_1535 = X_1536 ) )
      & ! [X_1537: $int] :
          ( mem0(X_1537,g_s536_536)
        <=> ? [X_1538: $int] : mem2(X_1537,X_1538,X_1531) )
      & ! [X_1539: $int] :
          ( ? [X_1540: $int] : mem2(X_1540,X_1539,X_1531)
         => mem0(X_1539,g_s645_645) ) ) ).

tff('Define:ctx:1235',axiom,
    ? [X_1541: set_2] :
      ( ! [X_1542: $int,X_1543: $int] :
          ( mem2(X_1543,X_1542,X_1541)
        <=> mem2(X_1543,X_1542,g_s882_872) )
      & ! [X_1544: $int,X_1545: $int,X_1546: $int] :
          ( ( mem2(X_1544,X_1545,X_1541)
            & mem2(X_1544,X_1546,X_1541) )
         => ( X_1545 = X_1546 ) )
      & ! [X_1547: $int] :
          ( mem0(X_1547,g_s536_536)
        <=> ? [X_1548: $int] : mem2(X_1547,X_1548,X_1541) )
      & ! [X_1549: $int] :
          ( ? [X_1550: $int] : mem2(X_1550,X_1549,X_1541)
         => mem0(X_1549,g_s646_646) ) ) ).

tff('Define:ctx:1236',axiom,
    ! [L_s883: $int] :
      ( mem0(L_s883,g_s539_539)
     => ! [X_1551: $int] :
          ( mem2(L_s883,X_1551,g_s870_860)
         => $lesseq(1,X_1551) ) ) ).

tff('Define:ctx:1237',axiom,
    ! [L_s883: $int] :
      ( mem0(L_s883,g_s539_539)
     => ! [X_1552: $int] :
          ( mem2(L_s883,X_1552,g_s871_861)
         => $lesseq(1,X_1552) ) ) ).

tff('Define:ctx:1238',axiom,
    ! [L_s883: $int] :
      ( mem0(L_s883,g_s539_539)
     => ! [X_1553: $int,X_1554: $int] :
          ( ( mem2(L_s883,X_1553,g_s846_836)
            & mem2(L_s883,X_1554,g_s847_837) )
         => mem8(X_1553,X_1554,L_s883,g_s843_833) ) ) ).

tff('Define:ctx:1239',axiom,
    ! [L_s883: prod_0] :
      ( ( mem0(g__s883_2_873,g_s534_534)
        & mem0(g__s883_1_874,g_s292_292) )
     => ! [X_1555: $int,X_1556: $int] :
          ( ( mem8(g__s883_2_873,g__s883_1_874,X_1555,g_s844_834)
            & ( g__s883_2_873 = X_1556 )
            & mem0(g__s883_2_873,g_s534_534)
            & ( ( g__s883_1_874 = g_s2_2 )
              | ( g__s883_1_874 = g_s3_3 ) ) )
         => mem2(X_1555,X_1556,g_s846_836) ) ) ).

tff('Define:ctx:124',axiom,
    g_s198_198 = 0 ).

tff('Define:ctx:1240',axiom,
    ! [L_s883: $int,L_s884: $int] :
      ( ( mem0(L_s883,g_s534_534)
        & mem0(L_s884,g_s292_292) )
     => ! [X_1557: $int] :
          ( mem8(L_s883,L_s884,X_1557,g_s843_833)
         => mem2(X_1557,L_s883,g_s846_836) ) ) ).

tff('Define:ctx:1241',axiom,
    ! [L_s883: $int,L_s884: $int] :
      ( ( mem0(L_s883,g_s534_534)
        & mem0(L_s884,g_s292_292) )
     => ! [X_1558: $int] :
          ( mem8(L_s883,L_s884,X_1558,g_s843_833)
         => mem2(X_1558,L_s884,g_s847_837) ) ) ).

tff('Define:ctx:1242',axiom,
    ! [L_s883: $int,L_s884: $int] :
      ( ( mem0(L_s883,g_s534_534)
        & mem0(L_s884,g_s292_292) )
     => ! [X_1559: $int] :
          ( ! [X_1560: $int] :
              ( ( ( ( L_s884 = g_s2_2 )
                  & ( X_1560 = g_s3_3 ) )
                | ( ( L_s884 = g_s3_3 )
                  & ( X_1560 = g_s2_2 ) ) )
             => mem8(L_s883,X_1560,X_1559,g_s843_833) )
         => mem8(L_s883,L_s884,X_1559,g_s844_834) ) ) ).

tff('Define:ctx:1243',axiom,
    ! [L_s885: $int] :
      ( mem0(L_s885,g_s539_539)
     => ? [X_1561: $int] :
          ( ? [X_1562: $int,X_1563: $int] :
              ( mem2(L_s885,X_1563,g_s846_836)
              & mem2(L_s885,X_1562,g_s847_837)
              & mem8(X_1563,X_1562,X_1561,g_s844_834) )
          & ? [X_1564: $int,X_1565: $int] :
              ( mem2(X_1561,X_1565,g_s846_836)
              & mem2(X_1561,X_1564,g_s847_837)
              & mem8(X_1565,X_1564,L_s885,g_s844_834) ) ) ) ).

tff('Define:ctx:1244',axiom,
    ! [L_s885: $int] :
      ( ( mem0(L_s885,g_s539_539)
        & ! [X_1566: $int,X_1567: $int] :
            ( ( mem2(L_s885,X_1566,g_s846_836)
              & mem2(L_s885,X_1567,g_s847_837) )
           => mem8(X_1566,X_1567,g_s592_592,g_s844_834) ) )
     => ( L_s885 = g_s592_592 ) ) ).

tff('Define:ctx:1245',axiom,
    ! [L_s886: $int,L_s887: $int] :
      ( ( mem0(L_s886,g_s534_534)
        & mem0(L_s887,g_s292_292) )
     => ! [X_1568: $int] :
          ( mem8(L_s886,L_s887,X_1568,g_s843_833)
         => mem2(X_1568,L_s887,g_s847_837) ) ) ).

tff('Define:ctx:1246',axiom,
    ! [L_s886: $int] :
      ( mem0(L_s886,g_s534_534)
     => ( ! [X_1569: $int,X_1570: $int] :
            ( ( ! [X_1571: $int] :
                  ( mem8(L_s886,g_s2_2,X_1571,g_s843_833)
                 => mem2(X_1571,X_1569,g_s870_860) )
              & mem2(L_s886,X_1570,g_s848_838) )
           => $greatereq(X_1569,X_1570) )
        & ! [X_1572: $int,X_1573: $int] :
            ( ( ! [X_1574: $int] :
                  ( mem8(L_s886,g_s3_3,X_1574,g_s843_833)
                 => mem2(X_1574,X_1572,g_s870_860) )
              & mem2(L_s886,X_1573,g_s848_838) )
           => $greatereq(X_1572,X_1573) ) ) ) ).

tff('Define:ctx:1247',axiom,
    ! [L_s888: prod_0] :
      ( ( mem0(g__s888_2_875,g_s534_534)
        & mem0(g__s888_1_876,g_s292_292) )
     => ! [X_1575: $int,X_1576: $int] :
          ( ( ! [X_1577: $int] :
                ( ( ( g__s888_2_875 = X_1577 )
                  & mem0(g__s888_2_875,g_s534_534)
                  & ( ( g__s888_1_876 = g_s2_2 )
                    | ( g__s888_1_876 = g_s3_3 ) ) )
               => mem2(X_1577,X_1575,g_s848_838) )
            & ! [X_1578: $int] :
                ( mem8(g__s888_2_875,g__s888_1_876,X_1578,g_s843_833)
               => mem2(X_1578,X_1576,g_s870_860) ) )
         => $lesseq(X_1575,X_1576) ) ) ).

tff('Define:ctx:1248',axiom,
    ! [L_s885: $int] :
      ( ? [X_1579: $int] : mem2(L_s885,X_1579,g_s872_862)
     => ! [X_1580: $int,X_1581: $int] :
          ( ( mem2(L_s885,X_1580,g_s846_836)
            & mem2(L_s885,X_1581,g_s870_860) )
         => mem2(X_1580,X_1581,g_s848_838) ) ) ).

tff('Define:ctx:1249',axiom,
    ! [L_s885: $int] :
      ( mem0(L_s885,g_s539_539)
     => ? [L_s886: $int,L_s884: $int] :
          ( mem0(L_s886,g_s534_534)
          & mem0(L_s884,g_s292_292)
          & mem8(L_s886,L_s884,L_s885,g_s843_833)
          & ( ~ ! [X_1582: $int] :
                  ( mem2(L_s885,X_1582,g_s842_832)
                 => $greater(X_1582,1073741824) )
           => ( L_s884 = g_s2_2 ) )
          & ( ! [X_1583: $int] :
                ( mem2(L_s885,X_1583,g_s842_832)
               => $greater(X_1583,1073741824) )
           => ( L_s884 = g_s3_3 ) ) ) ) ).

tff('Define:ctx:125',axiom,
    g_s199_199 = 1 ).

tff('Define:ctx:1250',axiom,
    mem2(g_s592_592,g_s674_674,g_s870_860) ).

tff('Define:ctx:1251',axiom,
    mem2(g_s591_591,g_s675_675,g_s848_838) ).

tff('Define:ctx:1252',axiom,
    mem8(g_s591_591,g_s3_3,g_s592_592,g_s843_833) ).

tff('Define:ctx:1253',axiom,
    mem8(g_s591_591,g_s2_2,g_s592_592,g_s843_833) ).

tff('Define:ctx:1254',axiom,
    ! [L_s883: $int] :
      ( mem0(L_s883,g_s534_534)
     => ! [X_1584: $int] :
          ( mem2(L_s883,X_1584,g_s868_858)
         => $lesseq(0,X_1584) ) ) ).

tff('Define:ctx:1255',axiom,
    ! [L_s883: $int] :
      ( mem0(L_s883,g_s534_534)
     => ! [X_1585: $int] :
          ( mem2(L_s883,X_1585,g_s869_859)
         => $lesseq(0,X_1585) ) ) ).

tff('Define:ctx:1256',axiom,
    ! [L_s883: $int] :
      ( mem0(L_s883,g_s534_534)
     => ! [X_1586: $int] :
          ( mem2(L_s883,X_1586,g_s848_838)
         => $lesseq(1,X_1586) ) ) ).

tff('Define:ctx:1257',axiom,
    ! [L_s883: $int,L_s889: $int] :
      ( ( mem0(L_s883,g_s534_534)
        & mem0(L_s889,g_s305_305)
        & ( L_s883 = g_s591_591 ) )
     => ! [X_1587: $int] :
          ( mem2(L_s883,X_1587,g_s848_838)
         => ( $greatereq(L_s889,0)
            & $lesseq(L_s889,X_1587) ) ) ) ).

tff('Define:ctx:1258',axiom,
    ! [X_1588: $int] :
      ( ? [X_1589: $int] : mem2(X_1589,X_1588,g_s850_840)
     => ( mem0(X_1588,g_s534_534)
        | ( X_1588 = g_s586_586 ) ) ) ).

tff('Define:ctx:1259',axiom,
    ! [X_1590: $int] :
      ( ? [X_1591: $int] : mem2(X_1591,X_1590,g_s854_844)
     => ( mem0(X_1590,g_s534_534)
        | ( X_1590 = g_s586_586 ) ) ) ).

tff('Define:ctx:126',axiom,
    g_s200_200 = 2 ).

tff('Define:ctx:1260',axiom,
    ! [X_1592: $int] :
      ( ? [X_1593: $int] : mem2(X_1593,X_1592,g_s858_848)
     => ( mem0(X_1592,g_s534_534)
        | ( X_1592 = g_s586_586 ) ) ) ).

tff('Define:ctx:1261',axiom,
    ! [X_1594: $int] :
      ( ? [X_1595: $int] : mem2(X_1595,X_1594,g_s862_852)
     => ( mem0(X_1594,g_s534_534)
        | ( X_1594 = g_s586_586 ) ) ) ).

tff('Define:ctx:1262',axiom,
    ! [X_1596: $int] :
      ( ? [X_1597: $int] : mem2(X_1597,X_1596,g_s853_843)
     => ( mem0(X_1596,g_s546_546)
        | ( X_1596 = g_s589_589 ) ) ) ).

tff('Define:ctx:1263',axiom,
    ! [X_1598: $int] :
      ( ? [X_1599: $int] : mem2(X_1599,X_1598,g_s857_847)
     => ( mem0(X_1598,g_s546_546)
        | ( X_1598 = g_s589_589 ) ) ) ).

tff('Define:ctx:1264',axiom,
    ! [X_1600: $int] :
      ( ? [X_1601: $int] : mem2(X_1601,X_1600,g_s861_851)
     => ( mem0(X_1600,g_s546_546)
        | ( X_1600 = g_s589_589 ) ) ) ).

tff('Define:ctx:1265',axiom,
    ! [X_1602: $int] :
      ( ? [X_1603: $int] : mem2(X_1603,X_1602,g_s865_855)
     => ( mem0(X_1602,g_s546_546)
        | ( X_1602 = g_s589_589 ) ) ) ).

tff('Define:ctx:1266',axiom,
    ! [L_s883: $int] :
      ( mem0(L_s883,g_s534_534)
     => ( mem2(L_s883,g_s586_586,g_s850_840)
       => mem2(L_s883,g_s589_589,g_s853_843) ) ) ).

tff('Define:ctx:1267',axiom,
    ! [L_s883: $int] :
      ( mem0(L_s883,g_s534_534)
     => ( mem2(L_s883,g_s589_589,g_s853_843)
      <=> mem2(L_s883,g_s589_589,g_s857_847) ) ) ).

tff('Define:ctx:1268',axiom,
    ! [L_s883: $int] :
      ( mem0(L_s883,g_s534_534)
     => ( mem2(L_s883,g_s589_589,g_s857_847)
      <=> mem2(L_s883,g_s586_586,g_s854_844) ) ) ).

tff('Define:ctx:1269',axiom,
    ! [L_s883: $int] :
      ( mem0(L_s883,g_s534_534)
     => ( mem2(L_s883,g_s586_586,g_s858_848)
       => mem2(L_s883,g_s589_589,g_s861_851) ) ) ).

tff('Define:ctx:127',axiom,
    g_s201_201 = 3 ).

tff('Define:ctx:1270',axiom,
    ! [L_s883: $int] :
      ( mem0(L_s883,g_s534_534)
     => ( mem2(L_s883,g_s589_589,g_s861_851)
      <=> mem2(L_s883,g_s589_589,g_s865_855) ) ) ).

tff('Define:ctx:1271',axiom,
    ! [L_s883: $int] :
      ( mem0(L_s883,g_s534_534)
     => ( mem2(L_s883,g_s589_589,g_s865_855)
      <=> mem2(L_s883,g_s586_586,g_s862_852) ) ) ).

tff('Define:ctx:1272',axiom,
    ! [L_s883: $int] :
      ( mem0(L_s883,g_s539_539)
     => ! [X_1604: $int] :
          ( mem2(L_s883,X_1604,g_s875_865)
         => $less(X_1604,0) ) ) ).

tff('Define:ctx:1273',axiom,
    ! [L_s890: set_2,L_s891: set_2,L_s892: $int,L_s893: $int] :
      ( ( ? [X_1605: $int,X_1606: set_2] :
            ( ! [X_1607: $int,X_1608: $int] :
                ( mem2(X_1608,X_1607,X_1606)
              <=> mem2(X_1608,X_1607,L_s890) )
            & ! [X_1609: $int,X_1610: $int,X_1611: $int] :
                ( ( mem2(X_1609,X_1610,X_1606)
                  & mem2(X_1609,X_1611,X_1606) )
               => ( X_1610 = X_1611 ) )
            & ! [X_1612: $int] :
                ( ( $greatereq(X_1612,1)
                  & $lesseq(X_1612,X_1605) )
              <=> ? [X_1613: $int] : mem2(X_1612,X_1613,X_1606) )
            & ! [X_1614: $int] :
                ( ? [X_1615: $int] : mem2(X_1615,X_1614,X_1606)
               => mem0(X_1614,g_s539_539) ) )
        & ~ ! [X_1616: $int,X_1617: $int] :
              ( mem2(X_1617,X_1616,L_s890)
            <=> $false )
        & ? [X_1618: $int,X_1619: set_2] :
            ( ! [X_1620: $int,X_1621: $int] :
                ( mem2(X_1621,X_1620,X_1619)
              <=> mem2(X_1621,X_1620,L_s891) )
            & ! [X_1622: $int,X_1623: $int,X_1624: $int] :
                ( ( mem2(X_1622,X_1623,X_1619)
                  & mem2(X_1622,X_1624,X_1619) )
               => ( X_1623 = X_1624 ) )
            & ! [X_1625: $int] :
                ( ( $greatereq(X_1625,1)
                  & $lesseq(X_1625,X_1618) )
              <=> ? [X_1626: $int] : mem2(X_1625,X_1626,X_1619) )
            & ! [X_1627: $int] :
                ( ? [X_1628: $int] : mem2(X_1628,X_1627,X_1619)
               => mem0(X_1627,g_s539_539) ) )
        & ~ ! [X_1629: $int,X_1630: $int] :
              ( mem2(X_1630,X_1629,L_s891)
            <=> $false )
        & ! [L_s894: $int] :
            ( ! [X_1631: $int] :
                ( ! [X_1632: $int] :
                    ( ? [X_1633: $int] : mem2(X_1632,X_1633,L_s890)
                  <=> ( $greatereq(X_1632,1)
                      & $lesseq(X_1632,X_1631) ) )
               => ( $greatereq(L_s894,1)
                  & $lesseq(L_s894,$difference(X_1631,1)) ) )
           => ! [X_1634: $int,X_1635: $int] :
                ( ( mem2(L_s894,X_1634,L_s890)
                  & ! [X_1636: $int] :
                      ( ( X_1636 = $sum(L_s894,1) )
                     => mem2(X_1636,X_1635,L_s890) ) )
               => mem2(X_1634,X_1635,g_s872_862) ) )
        & ! [L_s894: $int] :
            ( ! [X_1637: $int] :
                ( ! [X_1638: $int] :
                    ( ? [X_1639: $int] : mem2(X_1638,X_1639,L_s891)
                  <=> ( $greatereq(X_1638,1)
                      & $lesseq(X_1638,X_1637) ) )
               => ( $greatereq(L_s894,1)
                  & $lesseq(L_s894,$difference(X_1637,1)) ) )
           => ! [X_1640: $int,X_1641: $int] :
                ( ( mem2(L_s894,X_1640,L_s891)
                  & ! [X_1642: $int] :
                      ( ( X_1642 = $sum(L_s894,1) )
                     => mem2(X_1642,X_1641,L_s891) ) )
               => mem2(X_1640,X_1641,g_s872_862) ) )
        & ! [X_1643: $int,X_1644: $int] :
            ( ( ( X_1643 = 1 )
              & ! [X_1645: $int] :
                  ( ( X_1645 = 1 )
                 => mem2(X_1645,X_1644,L_s891) ) )
           => mem2(X_1643,X_1644,L_s890) )
        & ? [X_1646: $int] : mem2(L_s892,X_1646,L_s890)
        & ? [X_1647: $int] : mem2(L_s893,X_1647,L_s891)
        & ! [X_1648: $int] :
            ( mem2(L_s893,X_1648,L_s891)
           => mem2(L_s892,X_1648,L_s890) )
        & ! [X_1649: set_0,X_1650: set_0] :
            ( ( ! [X_1651: $int] :
                  ( mem0(X_1651,X_1649)
                <=> ? [X_1652: $int] :
                      ( $greatereq(X_1652,1)
                      & $lesseq(X_1652,$difference(L_s892,1))
                      & ! [X_1653: $int] :
                          ( mem2(X_1652,X_1653,L_s890)
                         => mem2(X_1653,X_1651,g_s870_860) ) ) )
              & ! [X_1654: $int] :
                  ( mem0(X_1654,X_1650)
                <=> ? [X_1655: $int] :
                      ( $greatereq(X_1655,1)
                      & $lesseq(X_1655,$difference(L_s893,1))
                      & ! [X_1656: $int] :
                          ( mem2(X_1655,X_1656,L_s891)
                         => mem2(X_1656,X_1654,g_s870_860) ) ) ) )
           => ( isum(X_1649) = isum(X_1650) ) ) )
     => ! [X_1657: $int,X_1658: $int] :
          ( ( mem2(X_1658,X_1657,L_s890)
            & $greatereq(X_1658,1)
            & $lesseq(X_1658,L_s892) )
        <=> ( mem2(X_1658,X_1657,L_s891)
            & $greatereq(X_1658,1)
            & $lesseq(X_1658,L_s893) ) ) ) ).

tff('Define:ctx:1274',axiom,
    ! [L_s890: set_2,L_s891: set_2,L_s892: $int] :
      ( ( ? [X_1659: $int] :
            ( ? [X_1660: set_2] :
                ( ! [X_1661: $int,X_1662: $int] :
                    ( mem2(X_1662,X_1661,X_1660)
                  <=> mem2(X_1662,X_1661,L_s890) )
                & ! [X_1663: $int,X_1664: $int,X_1665: $int] :
                    ( ( mem2(X_1663,X_1664,X_1660)
                      & mem2(X_1663,X_1665,X_1660) )
                   => ( X_1664 = X_1665 ) )
                & ! [X_1666: $int] :
                    ( ( $greatereq(X_1666,1)
                      & $lesseq(X_1666,X_1659) )
                  <=> ? [X_1667: $int] : mem2(X_1666,X_1667,X_1660) )
                & ! [X_1668: $int] :
                    ( ? [X_1669: $int] : mem2(X_1669,X_1668,X_1660)
                   => mem0(X_1668,g_s539_539) ) )
            & ! [X_1670: $int,X_1671: $int,X_1672: $int] :
                ( ( mem2(X_1671,X_1670,L_s890)
                  & mem2(X_1672,X_1670,L_s890) )
               => ( X_1671 = X_1672 ) ) )
        & ~ ! [X_1673: $int,X_1674: $int] :
              ( mem2(X_1674,X_1673,L_s890)
            <=> $false )
        & ? [X_1675: $int,X_1676: set_2] :
            ( ! [X_1677: $int,X_1678: $int] :
                ( mem2(X_1678,X_1677,X_1676)
              <=> mem2(X_1678,X_1677,L_s891) )
            & ! [X_1679: $int,X_1680: $int,X_1681: $int] :
                ( ( mem2(X_1679,X_1680,X_1676)
                  & mem2(X_1679,X_1681,X_1676) )
               => ( X_1680 = X_1681 ) )
            & ! [X_1682: $int] :
                ( ( $greatereq(X_1682,1)
                  & $lesseq(X_1682,X_1675) )
              <=> ? [X_1683: $int] : mem2(X_1682,X_1683,X_1676) )
            & ! [X_1684: $int] :
                ( ? [X_1685: $int] : mem2(X_1685,X_1684,X_1676)
               => mem0(X_1684,g_s539_539) ) )
        & ~ ! [X_1686: $int,X_1687: $int] :
              ( mem2(X_1687,X_1686,L_s891)
            <=> $false )
        & ! [L_s894: $int] :
            ( ! [X_1688: $int] :
                ( ! [X_1689: $int] :
                    ( ? [X_1690: $int] : mem2(X_1689,X_1690,L_s890)
                  <=> ( $greatereq(X_1689,1)
                      & $lesseq(X_1689,X_1688) ) )
               => ( $greatereq(L_s894,1)
                  & $lesseq(L_s894,$difference(X_1688,1)) ) )
           => ! [X_1691: $int,X_1692: $int] :
                ( ( mem2(L_s894,X_1691,L_s890)
                  & ! [X_1693: $int] :
                      ( ( X_1693 = $sum(L_s894,1) )
                     => mem2(X_1693,X_1692,L_s890) ) )
               => mem2(X_1691,X_1692,g_s872_862) ) )
        & ! [L_s894: $int] :
            ( ! [X_1694: $int] :
                ( ! [X_1695: $int] :
                    ( ? [X_1696: $int] : mem2(X_1695,X_1696,L_s891)
                  <=> ( $greatereq(X_1695,1)
                      & $lesseq(X_1695,X_1694) ) )
               => ( $greatereq(L_s894,1)
                  & $lesseq(L_s894,$difference(X_1694,1)) ) )
           => ! [X_1697: $int,X_1698: $int] :
                ( ( mem2(L_s894,X_1697,L_s891)
                  & ! [X_1699: $int] :
                      ( ( X_1699 = $sum(L_s894,1) )
                     => mem2(X_1699,X_1698,L_s891) ) )
               => mem2(X_1697,X_1698,g_s872_862) ) )
        & ! [X_1700: $int,X_1701: $int] :
            ( ( ( X_1700 = 1 )
              & ! [X_1702: $int] :
                  ( ( X_1702 = 1 )
                 => mem2(X_1702,X_1701,L_s891) ) )
           => mem2(X_1700,X_1701,L_s890) )
        & ? [X_1703: $int] : mem2(L_s892,X_1703,L_s890)
        & ! [X_1704: $int] :
            ( ! [X_1705: $int] :
                ( ! [X_1706: $int] :
                    ( ? [X_1707: $int] : mem2(X_1706,X_1707,L_s891)
                  <=> ( $greatereq(X_1706,1)
                      & $lesseq(X_1706,X_1705) ) )
               => mem2(X_1705,X_1704,L_s891) )
           => mem2(L_s892,X_1704,L_s890) )
        & ! [L_s896: $int] :
            ( ! [X_1708: $int] :
                ( ! [X_1709: $int] :
                    ( ? [X_1710: $int] : mem2(X_1709,X_1710,L_s891)
                  <=> ( $greatereq(X_1709,1)
                      & $lesseq(X_1709,X_1708) ) )
               => ( $greatereq(L_s896,2)
                  & $lesseq(L_s896,$difference(X_1708,1)) ) )
           => ? [X_1711: $int] :
              ! [X_1712: $int] :
                ( mem2(L_s896,X_1712,L_s891)
               => mem2(X_1711,X_1712,L_s890) ) ) )
     => ! [X_1713: set_0,X_1714: set_0] :
          ( ( ! [X_1715: $int] :
                ( mem0(X_1715,X_1713)
              <=> ? [X_1716: $int] :
                    ( $greatereq(X_1716,1)
                    & $lesseq(X_1716,$difference(L_s892,1))
                    & ! [X_1717: $int] :
                        ( mem2(X_1716,X_1717,L_s890)
                       => mem2(X_1717,X_1715,g_s870_860) ) ) )
            & ! [X_1718: $int] :
                ( mem0(X_1718,X_1714)
              <=> ? [X_1719: $int] :
                    ( ! [X_1720: $int] :
                        ( ! [X_1721: $int] :
                            ( ? [X_1722: $int] : mem2(X_1721,X_1722,L_s891)
                          <=> ( $greatereq(X_1721,1)
                              & $lesseq(X_1721,X_1720) ) )
                       => ( $greatereq(X_1719,1)
                          & $lesseq(X_1719,$difference(X_1720,1)) ) )
                    & ! [X_1723: $int] :
                        ( mem2(X_1719,X_1723,L_s891)
                       => mem2(X_1723,X_1718,g_s870_860) ) ) ) )
         => ( isum(X_1713) = isum(X_1714) ) ) ) ).

tff('Define:ctx:1275',axiom,
    ! [X_1724: $int,X_1725: $int] :
      ( ? [X_1726: set_0] : mem9(X_1725,X_1724,X_1726,g_s874_864)
    <=> ? [X_1727: set_0] : mem9(X_1725,X_1724,X_1727,g_s873_863) ) ).

tff('Define:ctx:1276',axiom,
    ! [L_s897: prod_0] :
      ( mem2(g__s897_2_877,g__s897_1_878,g_s872_862)
     => ! [X_1728: $int] :
          ( ( ! [X_1729: set_0] :
                ( mem9(g__s897_2_877,g__s897_1_878,X_1729,g_s874_864)
               => mem0(X_1728,X_1729) )
            & mem0(X_1728,g_s898_879) )
        <=> $false ) ) ).

tff('Define:ctx:1277',axiom,
    ( mem0(g_s878_868,g_s537_537)
    & ! [X_1730: $int] :
        ( mem0(X_1730,g_s537_537)
       => $lesseq(g_s878_868,X_1730) ) ) ).

tff('Define:ctx:1278',axiom,
    ( mem0(g_s879_869,g_s537_537)
    & ! [X_1731: $int] :
        ( mem0(X_1731,g_s537_537)
       => $greatereq(g_s879_869,X_1731) ) ) ).

tff('Define:ctx:1279',axiom,
    ! [X_1732: $int] :
      ( ( $greatereq(X_1732,g_s878_868)
        & $lesseq(X_1732,g_s879_869) )
     => mem0(X_1732,g_s537_537) ) ).

tff('Define:ctx:128',axiom,
    g_s202_202 = 4 ).

tff('Define:ctx:1280',axiom,
    mem0(g_s899_880,g_s638_638) ).

tff('Define:ctx:1281',axiom,
    mem0(g_s900_881,g_s638_638) ).

tff('Define:ctx:1282',axiom,
    mem0(g_s901_882,g_s638_638) ).

tff('Define:ctx:1283',axiom,
    mem0(g_s902_883,g_s638_638) ).

tff('Define:ctx:1284',axiom,
    mem0(g_s903_884,g_s549_549) ).

tff('Define:ctx:1285',axiom,
    ( ? [X_1733: set_2] :
        ( ! [X_1734: $int,X_1735: $int] :
            ( mem2(X_1735,X_1734,X_1733)
          <=> mem2(X_1735,X_1734,g_s904_885) )
        & ! [X_1736: $int,X_1737: $int,X_1738: $int] :
            ( ( mem2(X_1736,X_1737,X_1733)
              & mem2(X_1736,X_1738,X_1733) )
           => ( X_1737 = X_1738 ) )
        & ! [X_1739: $int] :
            ( mem0(X_1739,g_s655_655)
          <=> ? [X_1740: $int] : mem2(X_1739,X_1740,X_1733) )
        & ! [X_1741: $int] :
            ( ? [X_1742: $int] : mem2(X_1742,X_1741,X_1733)
           => mem0(X_1741,g_s652_652) ) )
    & ! [X_1743: $int,X_1744: $int,X_1745: $int] :
        ( ( mem2(X_1744,X_1743,g_s904_885)
          & mem2(X_1745,X_1743,g_s904_885) )
       => ( X_1744 = X_1745 ) ) ) ).

tff('Define:ctx:1286',axiom,
    ? [X_1746: set_2] :
      ( ! [X_1747: $int,X_1748: $int] :
          ( mem2(X_1748,X_1747,X_1746)
        <=> mem2(X_1748,X_1747,g_s905_886) )
      & ! [X_1749: $int,X_1750: $int,X_1751: $int] :
          ( ( mem2(X_1749,X_1750,X_1746)
            & mem2(X_1749,X_1751,X_1746) )
         => ( X_1750 = X_1751 ) )
      & ! [X_1752: $int] :
          ( mem0(X_1752,g_s656_656)
        <=> ? [X_1753: $int] : mem2(X_1752,X_1753,X_1746) )
      & ! [X_1754: $int] :
          ( ? [X_1755: $int] : mem2(X_1755,X_1754,X_1746)
         => mem0(X_1754,g_s638_638) ) ) ).

tff('Define:ctx:1287',axiom,
    ? [X_1756: set_2] :
      ( ! [X_1757: $int,X_1758: $int] :
          ( mem2(X_1758,X_1757,X_1756)
        <=> mem2(X_1758,X_1757,g_s906_887) )
      & ! [X_1759: $int,X_1760: $int,X_1761: $int] :
          ( ( mem2(X_1759,X_1760,X_1756)
            & mem2(X_1759,X_1761,X_1756) )
         => ( X_1760 = X_1761 ) )
      & ! [X_1762: $int] :
          ( mem0(X_1762,g_s534_534)
        <=> ? [X_1763: $int] : mem2(X_1762,X_1763,X_1756) )
      & ! [X_1764: $int] :
          ( ? [X_1765: $int] : mem2(X_1765,X_1764,X_1756)
         => mem0(X_1764,g_s133_133) ) ) ).

tff('Define:ctx:1288',axiom,
    ? [X_1766: set_2] :
      ( ! [X_1767: $int,X_1768: $int] :
          ( mem2(X_1768,X_1767,X_1766)
        <=> mem2(X_1768,X_1767,g_s907_888) )
      & ! [X_1769: $int,X_1770: $int,X_1771: $int] :
          ( ( mem2(X_1769,X_1770,X_1766)
            & mem2(X_1769,X_1771,X_1766) )
         => ( X_1770 = X_1771 ) )
      & ! [X_1772: $int] :
          ( mem0(X_1772,g_s534_534)
        <=> ? [X_1773: $int] : mem2(X_1772,X_1773,X_1766) )
      & ! [X_1774: $int] :
          ( ? [X_1775: $int] : mem2(X_1775,X_1774,X_1766)
         => mem0(X_1774,g_s533_533) ) ) ).

tff('Define:ctx:1289',axiom,
    ? [X_1776: set_2] :
      ( ! [X_1777: $int,X_1778: $int] :
          ( mem2(X_1778,X_1777,X_1776)
        <=> mem2(X_1778,X_1777,g_s908_889) )
      & ! [X_1779: $int,X_1780: $int,X_1781: $int] :
          ( ( mem2(X_1779,X_1780,X_1776)
            & mem2(X_1779,X_1781,X_1776) )
         => ( X_1780 = X_1781 ) )
      & ! [X_1782: $int] :
          ( mem0(X_1782,g_s534_534)
        <=> ? [X_1783: $int] : mem2(X_1782,X_1783,X_1776) )
      & ! [X_1784: $int] :
          ( ? [X_1785: $int] : mem2(X_1785,X_1784,X_1776)
         => mem0(X_1784,g_s652_652) ) ) ).

tff('Define:ctx:129',axiom,
    g_s203_203 = 5 ).

tff('Define:ctx:1290',axiom,
    ? [X_1786: set_2] :
      ( ! [X_1787: $int,X_1788: $int] :
          ( mem2(X_1788,X_1787,X_1786)
        <=> mem2(X_1788,X_1787,g_s909_890) )
      & ! [X_1789: $int,X_1790: $int,X_1791: $int] :
          ( ( mem2(X_1789,X_1790,X_1786)
            & mem2(X_1789,X_1791,X_1786) )
         => ( X_1790 = X_1791 ) )
      & ! [X_1792: $int] :
          ( mem0(X_1792,g_s652_652)
        <=> ? [X_1793: $int] : mem2(X_1792,X_1793,X_1786) )
      & ! [X_1794: $int] :
          ( ? [X_1795: $int] : mem2(X_1795,X_1794,X_1786)
         => mem0(X_1794,g_s133_133) ) ) ).

tff('Define:ctx:13',axiom,
    ( ! [X_18: $int] :
        ( mem0(X_18,g_s56_56)
      <=> ( ( X_18 = g_s57_57 )
          | ( X_18 = g_s58_58 )
          | ( X_18 = g_s59_59 )
          | ( X_18 = g_s60_60 )
          | ( X_18 = g_s61_61 )
          | ( X_18 = g_s62_62 )
          | ( X_18 = g_s63_63 )
          | ( X_18 = g_s64_64 )
          | ( X_18 = g_s65_65 )
          | ( X_18 = g_s66_66 )
          | ( X_18 = g_s67_67 )
          | ( X_18 = g_s68_68 )
          | ( X_18 = g_s69_69 )
          | ( X_18 = g_s70_70 )
          | ( X_18 = g_s71_71 ) ) )
    & ( g_s57_57 != g_s58_58 )
    & ( g_s58_58 != g_s59_59 )
    & ( g_s59_59 != g_s60_60 )
    & ( g_s60_60 != g_s61_61 )
    & ( g_s61_61 != g_s62_62 )
    & ( g_s62_62 != g_s63_63 )
    & ( g_s63_63 != g_s64_64 )
    & ( g_s64_64 != g_s65_65 )
    & ( g_s65_65 != g_s66_66 )
    & ( g_s66_66 != g_s67_67 )
    & ( g_s67_67 != g_s68_68 )
    & ( g_s68_68 != g_s69_69 )
    & ( g_s69_69 != g_s70_70 )
    & ( g_s70_70 != g_s71_71 ) ) ).

tff('Define:ctx:130',axiom,
    g_s204_204 = 6 ).

tff('Define:ctx:131',axiom,
    g_s205_205 = 7 ).

tff('Define:ctx:132',axiom,
    g_s206_206 = 8 ).

tff('Define:ctx:133',axiom,
    g_s207_207 = 9 ).

tff('Define:ctx:134',axiom,
    g_s208_208 = 10 ).

tff('Define:ctx:135',axiom,
    g_s209_209 = 11 ).

tff('Define:ctx:136',axiom,
    g_s210_210 = 12 ).

tff('Define:ctx:137',axiom,
    g_s211_211 = 13 ).

tff('Define:ctx:138',axiom,
    g_s212_212 = 14 ).

tff('Define:ctx:139',axiom,
    g_s213_213 = 15 ).

tff('Define:ctx:14',axiom,
    ( ! [X_19: $int] :
        ( mem0(X_19,g_s72_72)
      <=> ( ( X_19 = g_s73_73 )
          | ( X_19 = g_s74_74 )
          | ( X_19 = g_s75_75 )
          | ( X_19 = g_s76_76 )
          | ( X_19 = g_s77_77 )
          | ( X_19 = g_s78_78 )
          | ( X_19 = g_s79_79 )
          | ( X_19 = g_s80_80 )
          | ( X_19 = g_s81_81 )
          | ( X_19 = g_s82_82 )
          | ( X_19 = g_s83_83 )
          | ( X_19 = g_s84_84 )
          | ( X_19 = g_s85_85 )
          | ( X_19 = g_s86_86 )
          | ( X_19 = g_s87_87 )
          | ( X_19 = g_s88_88 )
          | ( X_19 = g_s89_89 )
          | ( X_19 = g_s90_90 )
          | ( X_19 = g_s91_91 )
          | ( X_19 = g_s92_92 )
          | ( X_19 = g_s93_93 )
          | ( X_19 = g_s94_94 )
          | ( X_19 = g_s95_95 )
          | ( X_19 = g_s96_96 )
          | ( X_19 = g_s97_97 )
          | ( X_19 = g_s98_98 )
          | ( X_19 = g_s99_99 )
          | ( X_19 = g_s100_100 )
          | ( X_19 = g_s101_101 )
          | ( X_19 = g_s102_102 )
          | ( X_19 = g_s103_103 )
          | ( X_19 = g_s104_104 ) ) )
    & ( g_s73_73 != g_s74_74 )
    & ( g_s74_74 != g_s75_75 )
    & ( g_s75_75 != g_s76_76 )
    & ( g_s76_76 != g_s77_77 )
    & ( g_s77_77 != g_s78_78 )
    & ( g_s78_78 != g_s79_79 )
    & ( g_s79_79 != g_s80_80 )
    & ( g_s80_80 != g_s81_81 )
    & ( g_s81_81 != g_s82_82 )
    & ( g_s82_82 != g_s83_83 )
    & ( g_s83_83 != g_s84_84 )
    & ( g_s84_84 != g_s85_85 )
    & ( g_s85_85 != g_s86_86 )
    & ( g_s86_86 != g_s87_87 )
    & ( g_s87_87 != g_s88_88 )
    & ( g_s88_88 != g_s89_89 )
    & ( g_s89_89 != g_s90_90 )
    & ( g_s90_90 != g_s91_91 )
    & ( g_s91_91 != g_s92_92 )
    & ( g_s92_92 != g_s93_93 )
    & ( g_s93_93 != g_s94_94 )
    & ( g_s94_94 != g_s95_95 )
    & ( g_s95_95 != g_s96_96 )
    & ( g_s96_96 != g_s97_97 )
    & ( g_s97_97 != g_s98_98 )
    & ( g_s98_98 != g_s99_99 )
    & ( g_s99_99 != g_s100_100 )
    & ( g_s100_100 != g_s101_101 )
    & ( g_s101_101 != g_s102_102 )
    & ( g_s102_102 != g_s103_103 )
    & ( g_s103_103 != g_s104_104 ) ) ).

tff('Define:ctx:140',axiom,
    g_s214_214 = 16 ).

tff('Define:ctx:141',axiom,
    g_s215_215 = 17 ).

tff('Define:ctx:142',axiom,
    g_s216_216 = 18 ).

tff('Define:ctx:143',axiom,
    g_s217_217 = 19 ).

tff('Define:ctx:144',axiom,
    g_s218_218 = 20 ).

tff('Define:ctx:145',axiom,
    g_s219_219 = 21 ).

tff('Define:ctx:146',axiom,
    g_s220_220 = 22 ).

tff('Define:ctx:147',axiom,
    g_s221_221 = 23 ).

tff('Define:ctx:148',axiom,
    g_s222_222 = 24 ).

tff('Define:ctx:149',axiom,
    g_s223_223 = 25 ).

tff('Define:ctx:15',axiom,
    ( ! [X_20: $int] :
        ( mem0(X_20,g_s105_105)
      <=> ( ( X_20 = g_s106_106 )
          | ( X_20 = g_s107_107 )
          | ( X_20 = g_s108_108 )
          | ( X_20 = g_s109_109 ) ) )
    & ( g_s106_106 != g_s107_107 )
    & ( g_s107_107 != g_s108_108 )
    & ( g_s108_108 != g_s109_109 ) ) ).

tff('Define:ctx:150',axiom,
    g_s224_224 = 26 ).

tff('Define:ctx:151',axiom,
    g_s225_225 = 27 ).

tff('Define:ctx:152',axiom,
    g_s226_226 = 28 ).

tff('Define:ctx:153',axiom,
    g_s227_227 = 29 ).

tff('Define:ctx:154',axiom,
    g_s228_228 = 30 ).

tff('Define:ctx:155',axiom,
    g_s229_229 = 31 ).

tff('Define:ctx:156',axiom,
    g_s230_230 = 32 ).

tff('Define:ctx:157',axiom,
    g_s231_231 = 33 ).

tff('Define:ctx:158',axiom,
    g_s232_232 = 34 ).

tff('Define:ctx:159',axiom,
    g_s233_233 = 35 ).

tff('Define:ctx:16',axiom,
    ( ! [X_21: $int] :
        ( mem0(X_21,g_s110_110)
      <=> ( ( X_21 = g_s111_111 )
          | ( X_21 = g_s112_112 )
          | ( X_21 = g_s113_113 )
          | ( X_21 = g_s114_114 )
          | ( X_21 = g_s115_115 )
          | ( X_21 = g_s116_116 )
          | ( X_21 = g_s117_117 ) ) )
    & ( g_s111_111 != g_s112_112 )
    & ( g_s112_112 != g_s113_113 )
    & ( g_s113_113 != g_s114_114 )
    & ( g_s114_114 != g_s115_115 )
    & ( g_s115_115 != g_s116_116 )
    & ( g_s116_116 != g_s117_117 ) ) ).

tff('Define:ctx:160',axiom,
    g_s234_234 = 36 ).

tff('Define:ctx:161',axiom,
    g_s235_235 = 37 ).

tff('Define:ctx:162',axiom,
    g_s236_236 = 38 ).

tff('Define:ctx:163',axiom,
    g_s237_237 = 39 ).

tff('Define:ctx:164',axiom,
    g_s238_238 = 40 ).

tff('Define:ctx:165',axiom,
    g_s239_239 = 41 ).

tff('Define:ctx:166',axiom,
    g_s240_240 = 42 ).

tff('Define:ctx:167',axiom,
    g_s241_241 = 43 ).

tff('Define:ctx:168',axiom,
    g_s242_242 = 44 ).

tff('Define:ctx:169',axiom,
    g_s243_243 = 45 ).

tff('Define:ctx:17',axiom,
    ( ! [X_22: $int] :
        ( mem0(X_22,g_s118_118)
      <=> ( ( X_22 = g_s119_119 )
          | ( X_22 = g_s120_120 )
          | ( X_22 = g_s121_121 )
          | ( X_22 = g_s122_122 ) ) )
    & ( g_s119_119 != g_s120_120 )
    & ( g_s120_120 != g_s121_121 )
    & ( g_s121_121 != g_s122_122 ) ) ).

tff('Define:ctx:170',axiom,
    g_s244_244 = 46 ).

tff('Define:ctx:171',axiom,
    g_s245_245 = 47 ).

tff('Define:ctx:172',axiom,
    g_s246_246 = 48 ).

tff('Define:ctx:173',axiom,
    g_s247_247 = 49 ).

tff('Define:ctx:174',axiom,
    g_s248_248 = 50 ).

tff('Define:ctx:175',axiom,
    g_s249_249 = 51 ).

tff('Define:ctx:176',axiom,
    g_s250_250 = 52 ).

tff('Define:ctx:177',axiom,
    g_s251_251 = 53 ).

tff('Define:ctx:178',axiom,
    g_s252_252 = 54 ).

tff('Define:ctx:179',axiom,
    g_s253_253 = 55 ).

tff('Define:ctx:18',axiom,
    ( ! [X_23: $int] :
        ( mem0(X_23,g_s123_123)
      <=> ( ( X_23 = g_s124_124 )
          | ( X_23 = g_s125_125 )
          | ( X_23 = g_s126_126 )
          | ( X_23 = g_s127_127 )
          | ( X_23 = g_s128_128 ) ) )
    & ( g_s124_124 != g_s125_125 )
    & ( g_s125_125 != g_s126_126 )
    & ( g_s126_126 != g_s127_127 )
    & ( g_s127_127 != g_s128_128 ) ) ).

tff('Define:ctx:180',axiom,
    g_s254_254 = 56 ).

tff('Define:ctx:181',axiom,
    g_s255_255 = 57 ).

tff('Define:ctx:182',axiom,
    g_s256_256 = 58 ).

tff('Define:ctx:183',axiom,
    g_s257_257 = 59 ).

tff('Define:ctx:184',axiom,
    g_s258_258 = 60 ).

tff('Define:ctx:185',axiom,
    g_s259_259 = 61 ).

tff('Define:ctx:186',axiom,
    g_s260_260 = 62 ).

tff('Define:ctx:187',axiom,
    g_s261_261 = 63 ).

tff('Define:ctx:188',axiom,
    g_s262_262 = 64 ).

tff('Define:ctx:189',axiom,
    g_s263_263 = 128 ).

tff('Define:ctx:19',axiom,
    ( ~ ! [X_24: $int] :
          ( mem0(X_24,g_s129_129)
        <=> $false )
    & ! [X_27: $int] :
        ( mem0(X_27,g_s129_129)
       => $true )
    & ? [X_25: $int,X_26: set_2] :
        ( ? [X_28: set_2] :
            ( ! [X_29: $int,X_30: $int] :
                ( mem2(X_30,X_29,X_28)
              <=> mem2(X_30,X_29,X_26) )
            & ! [X_31: $int,X_32: $int,X_33: $int] :
                ( ( mem2(X_31,X_32,X_28)
                  & mem2(X_31,X_33,X_28) )
               => ( X_32 = X_33 ) )
            & ! [X_34: $int] :
                ( ( $greatereq(X_34,1)
                  & $lesseq(X_34,X_25) )
              <=> ? [X_35: $int] : mem2(X_34,X_35,X_28) )
            & ! [X_36: $int] :
                ( ? [X_37: $int] : mem2(X_37,X_36,X_28)
               => mem0(X_36,g_s129_129) ) )
        & ! [X_38: $int] :
            ( mem0(X_38,g_s129_129)
           => ? [X_39: $int] : mem2(X_39,X_38,X_26) )
        & ! [X_40: $int,X_41: $int,X_42: $int] :
            ( ( mem2(X_41,X_40,X_26)
              & mem2(X_42,X_40,X_26) )
           => ( X_41 = X_42 ) ) ) ) ).

tff('Define:ctx:190',axiom,
    g_s264_264 = 200 ).

tff('Define:ctx:191',axiom,
    g_s265_265 = 256 ).

tff('Define:ctx:192',axiom,
    g_s266_266 = 288 ).

tff('Define:ctx:193',axiom,
    g_s267_267 = 336 ).

tff('Define:ctx:194',axiom,
    g_s268_268 = 1000 ).

tff('Define:ctx:195',axiom,
    g_s269_269 = 1024 ).

tff('Define:ctx:196',axiom,
    g_s270_270 = 7680 ).

tff('Define:ctx:197',axiom,
    g_s271_271 = 131072 ).

tff('Define:ctx:198',axiom,
    g_s279_279 = 5242880 ).

tff('Define:ctx:199',axiom,
    g_s272_272 = 2147483647 ).

tff('Define:ctx:2',axiom,
    ( ! [X_7: $int] :
        ( mem0(X_7,g_s8_8)
      <=> ( ( X_7 = g_s9_9 )
          | ( X_7 = g_s10_10 )
          | ( X_7 = g_s11_11 ) ) )
    & ( g_s9_9 != g_s10_10 )
    & ( g_s10_10 != g_s11_11 ) ) ).

tff('Define:ctx:20',axiom,
    ( ~ ! [X_43: $int] :
          ( mem0(X_43,g_s130_130)
        <=> $false )
    & ! [X_46: $int] :
        ( mem0(X_46,g_s130_130)
       => $true )
    & ? [X_44: $int,X_45: set_2] :
        ( ? [X_47: set_2] :
            ( ! [X_48: $int,X_49: $int] :
                ( mem2(X_49,X_48,X_47)
              <=> mem2(X_49,X_48,X_45) )
            & ! [X_50: $int,X_51: $int,X_52: $int] :
                ( ( mem2(X_50,X_51,X_47)
                  & mem2(X_50,X_52,X_47) )
               => ( X_51 = X_52 ) )
            & ! [X_53: $int] :
                ( ( $greatereq(X_53,1)
                  & $lesseq(X_53,X_44) )
              <=> ? [X_54: $int] : mem2(X_53,X_54,X_47) )
            & ! [X_55: $int] :
                ( ? [X_56: $int] : mem2(X_56,X_55,X_47)
               => mem0(X_55,g_s130_130) ) )
        & ! [X_57: $int] :
            ( mem0(X_57,g_s130_130)
           => ? [X_58: $int] : mem2(X_58,X_57,X_45) )
        & ! [X_59: $int,X_60: $int,X_61: $int] :
            ( ( mem2(X_60,X_59,X_45)
              & mem2(X_61,X_59,X_45) )
           => ( X_60 = X_61 ) ) ) ) ).

tff('Define:ctx:200',axiom,
    g_s273_273 = 2147483646 ).

tff('Define:ctx:201',axiom,
    g_s276_276 = 1073741824 ).

tff('Define:ctx:202',axiom,
    g_s277_277 = $uminus(1073741824) ).

tff('Define:ctx:203',axiom,
    g_s275_275 = $uminus(2147483647) ).

tff('Define:ctx:204',axiom,
    g_s278_278 = 1073741823 ).

tff('Define:ctx:205',axiom,
    g_s280_281 = 0 ).

tff('Define:ctx:206',axiom,
    g_s282_282 = 1 ).

tff('Define:ctx:207',axiom,
    g_s283_283 = 2 ).

tff('Define:ctx:208',axiom,
    mem0(g_s284_284,g_s195_194) ).

tff('Define:ctx:209',axiom,
    mem0(g_s285_285,g_s195_194) ).

tff('Define:ctx:21',axiom,
    ( ~ ! [X_62: $int] :
          ( mem0(X_62,g_s131_131)
        <=> $false )
    & ! [X_65: $int] :
        ( mem0(X_65,g_s131_131)
       => $true )
    & ? [X_63: $int,X_64: set_2] :
        ( ? [X_66: set_2] :
            ( ! [X_67: $int,X_68: $int] :
                ( mem2(X_68,X_67,X_66)
              <=> mem2(X_68,X_67,X_64) )
            & ! [X_69: $int,X_70: $int,X_71: $int] :
                ( ( mem2(X_69,X_70,X_66)
                  & mem2(X_69,X_71,X_66) )
               => ( X_70 = X_71 ) )
            & ! [X_72: $int] :
                ( ( $greatereq(X_72,1)
                  & $lesseq(X_72,X_63) )
              <=> ? [X_73: $int] : mem2(X_72,X_73,X_66) )
            & ! [X_74: $int] :
                ( ? [X_75: $int] : mem2(X_75,X_74,X_66)
               => mem0(X_74,g_s131_131) ) )
        & ! [X_76: $int] :
            ( mem0(X_76,g_s131_131)
           => ? [X_77: $int] : mem2(X_77,X_76,X_64) )
        & ! [X_78: $int,X_79: $int,X_80: $int] :
            ( ( mem2(X_79,X_78,X_64)
              & mem2(X_80,X_78,X_64) )
           => ( X_79 = X_80 ) ) ) ) ).

tff('Define:ctx:210',axiom,
    mem0(g_s286_286,g_s195_194) ).

tff('Define:ctx:211',axiom,
    mem0(g_s287_287,g_s195_194) ).

tff('Define:ctx:212',axiom,
    mem0(g_s288_288,g_s195_194) ).

tff('Define:ctx:213',axiom,
    mem0(g_s289_289,g_s195_194) ).

tff('Define:ctx:214',axiom,
    mem0(g_s290_290,g_s195_194) ).

tff('Define:ctx:215',axiom,
    mem0(g_s291_291,g_s195_194) ).

tff('Define:ctx:216',axiom,
    g_s284_284 = 4096 ).

tff('Define:ctx:217',axiom,
    g_s285_285 = 8192 ).

tff('Define:ctx:218',axiom,
    g_s286_286 = 12288 ).

tff('Define:ctx:219',axiom,
    g_s287_287 = 16384 ).

tff('Define:ctx:22',axiom,
    ( ~ ! [X_81: $int] :
          ( mem0(X_81,g_s132_132)
        <=> $false )
    & ! [X_84: $int] :
        ( mem0(X_84,g_s132_132)
       => $true )
    & ? [X_82: $int,X_83: set_2] :
        ( ? [X_85: set_2] :
            ( ! [X_86: $int,X_87: $int] :
                ( mem2(X_87,X_86,X_85)
              <=> mem2(X_87,X_86,X_83) )
            & ! [X_88: $int,X_89: $int,X_90: $int] :
                ( ( mem2(X_88,X_89,X_85)
                  & mem2(X_88,X_90,X_85) )
               => ( X_89 = X_90 ) )
            & ! [X_91: $int] :
                ( ( $greatereq(X_91,1)
                  & $lesseq(X_91,X_82) )
              <=> ? [X_92: $int] : mem2(X_91,X_92,X_85) )
            & ! [X_93: $int] :
                ( ? [X_94: $int] : mem2(X_94,X_93,X_85)
               => mem0(X_93,g_s132_132) ) )
        & ! [X_95: $int] :
            ( mem0(X_95,g_s132_132)
           => ? [X_96: $int] : mem2(X_96,X_95,X_83) )
        & ! [X_97: $int,X_98: $int,X_99: $int] :
            ( ( mem2(X_98,X_97,X_83)
              & mem2(X_99,X_97,X_83) )
           => ( X_98 = X_99 ) ) ) ) ).

tff('Define:ctx:220',axiom,
    g_s288_288 = 20480 ).

tff('Define:ctx:221',axiom,
    g_s289_289 = 24576 ).

tff('Define:ctx:222',axiom,
    g_s290_290 = 28672 ).

tff('Define:ctx:223',axiom,
    g_s291_291 = 32768 ).

tff('Define:ctx:224',axiom,
    ! [X_106: $int] :
      ( mem0(X_106,g_s292_292)
     => mem0(X_106,g_s0_0) ) ).

tff('Define:ctx:225',axiom,
    ! [X_107: $int] :
      ( mem0(X_107,g_s292_292)
    <=> ( ( X_107 = g_s2_2 )
        | ( X_107 = g_s3_3 ) ) ) ).

tff('Define:ctx:226',axiom,
    ! [X_108: $int] :
      ( mem0(X_108,g_s293_293)
    <=> ( $greatereq(X_108,min_int)
        & $lesseq(X_108,max_int) ) ) ).

tff('Define:ctx:227',axiom,
    ! [X_109: $int] :
      ( mem0(X_109,g_s294_294)
    <=> ( $greatereq(X_109,min_int)
        & $lesseq(X_109,max_int) ) ) ).

tff('Define:ctx:228',axiom,
    ! [X_110: $int] :
      ( mem0(X_110,g_s295_295)
    <=> ( $greatereq(X_110,min_int)
        & $lesseq(X_110,max_int) ) ) ).

tff('Define:ctx:229',axiom,
    ! [X_111: $int] :
      ( mem0(X_111,g_s296_296)
    <=> ( $greatereq(X_111,min_int)
        & $lesseq(X_111,max_int) ) ) ).

tff('Define:ctx:23',axiom,
    ( ! [X_100: $int] :
        ( mem0(X_100,g_s133_133)
      <=> ( ( X_100 = g_s134_134 )
          | ( X_100 = g_s135_135 )
          | ( X_100 = g_s136_136 )
          | ( X_100 = g_s137_137 )
          | ( X_100 = g_s138_138 )
          | ( X_100 = g_s139_139 )
          | ( X_100 = g_s140_140 )
          | ( X_100 = g_s141_141 )
          | ( X_100 = g_s142_142 )
          | ( X_100 = g_s143_143 )
          | ( X_100 = g_s144_144 )
          | ( X_100 = g_s145_145 )
          | ( X_100 = g_s146_146 )
          | ( X_100 = g_s147_147 )
          | ( X_100 = g_s148_148 )
          | ( X_100 = g_s149_149 )
          | ( X_100 = g_s150_150 ) ) )
    & ( g_s134_134 != g_s135_135 )
    & ( g_s135_135 != g_s136_136 )
    & ( g_s136_136 != g_s137_137 )
    & ( g_s137_137 != g_s138_138 )
    & ( g_s138_138 != g_s139_139 )
    & ( g_s139_139 != g_s140_140 )
    & ( g_s140_140 != g_s141_141 )
    & ( g_s141_141 != g_s142_142 )
    & ( g_s142_142 != g_s143_143 )
    & ( g_s143_143 != g_s144_144 )
    & ( g_s144_144 != g_s145_145 )
    & ( g_s145_145 != g_s146_146 )
    & ( g_s146_146 != g_s147_147 )
    & ( g_s147_147 != g_s148_148 )
    & ( g_s148_148 != g_s149_149 )
    & ( g_s149_149 != g_s150_150 ) ) ).

tff('Define:ctx:230',axiom,
    ! [X_112: $int] :
      ( mem0(X_112,g_s297_297)
    <=> ( $greatereq(X_112,min_int)
        & $lesseq(X_112,max_int) ) ) ).

tff('Define:ctx:231',axiom,
    ! [X_113: $int] :
      ( mem0(X_113,g_s298_298)
    <=> ( $greatereq(X_113,min_int)
        & $lesseq(X_113,max_int) ) ) ).

tff('Define:ctx:232',axiom,
    ! [X_114: $int] :
      ( mem0(X_114,g_s299_299)
    <=> ( $greatereq(X_114,0)
        & $lesseq(X_114,max_int) ) ) ).

tff('Define:ctx:233',axiom,
    ! [X_115: $int] :
      ( mem0(X_115,g_s300_300)
    <=> ( $greatereq(X_115,min_int)
        & $lesseq(X_115,max_int) ) ) ).

tff('Define:ctx:234',axiom,
    ! [X_116: $int] :
      ( mem0(X_116,g_s301_301)
    <=> ( $greatereq(X_116,min_int)
        & $lesseq(X_116,max_int) ) ) ).

tff('Define:ctx:235',axiom,
    ! [X_117: $int] :
      ( mem0(X_117,g_s302_302)
    <=> ( $greatereq(X_117,min_int)
        & $lesseq(X_117,max_int) ) ) ).

tff('Define:ctx:236',axiom,
    ! [X_118: $int] :
      ( mem0(X_118,g_s303_303)
    <=> ( $greatereq(X_118,0)
        & $lesseq(X_118,max_int) ) ) ).

tff('Define:ctx:237',axiom,
    ! [X_119: $int] :
      ( mem0(X_119,g_s304_304)
    <=> ( $greatereq(X_119,min_int)
        & $lesseq(X_119,max_int) ) ) ).

tff('Define:ctx:238',axiom,
    ! [X_120: $int] :
      ( mem0(X_120,g_s305_305)
    <=> ( $greatereq(X_120,0)
        & $lesseq(X_120,max_int) ) ) ).

tff('Define:ctx:239',axiom,
    ! [X_121: $int] :
      ( mem0(X_121,g_s306_306)
    <=> ( $greatereq(X_121,0)
        & $lesseq(X_121,max_int) ) ) ).

tff('Define:ctx:24',axiom,
    ( ! [X_101: $int] :
        ( mem0(X_101,g_s151_151)
      <=> ( ( X_101 = g_s152_152 )
          | ( X_101 = g_s153_153 )
          | ( X_101 = g_s154_154 )
          | ( X_101 = g_s155_155 )
          | ( X_101 = g_s156_156 )
          | ( X_101 = g_s157_157 )
          | ( X_101 = g_s158_158 )
          | ( X_101 = g_s159_159 )
          | ( X_101 = g_s160_160 )
          | ( X_101 = g_s161_161 )
          | ( X_101 = g_s162_162 )
          | ( X_101 = g_s163_163 )
          | ( X_101 = g_s164_164 )
          | ( X_101 = g_s165_165 )
          | ( X_101 = g_s166_166 )
          | ( X_101 = g_s167_167 )
          | ( X_101 = g_s168_168 ) ) )
    & ( g_s152_152 != g_s153_153 )
    & ( g_s153_153 != g_s154_154 )
    & ( g_s154_154 != g_s155_155 )
    & ( g_s155_155 != g_s156_156 )
    & ( g_s156_156 != g_s157_157 )
    & ( g_s157_157 != g_s158_158 )
    & ( g_s158_158 != g_s159_159 )
    & ( g_s159_159 != g_s160_160 )
    & ( g_s160_160 != g_s161_161 )
    & ( g_s161_161 != g_s162_162 )
    & ( g_s162_162 != g_s163_163 )
    & ( g_s163_163 != g_s164_164 )
    & ( g_s164_164 != g_s165_165 )
    & ( g_s165_165 != g_s166_166 )
    & ( g_s166_166 != g_s167_167 )
    & ( g_s167_167 != g_s168_168 ) ) ).

tff('Define:ctx:240',axiom,
    ! [X_122: $int] :
      ( mem0(X_122,g_s307_307)
    <=> ( $greatereq(X_122,0)
        & $lesseq(X_122,max_int) ) ) ).

tff('Define:ctx:241',axiom,
    ! [X_123: $int] :
      ( mem0(X_123,g_s308_308)
     => mem0(X_123,g_s292_292) ) ).

tff('Define:ctx:242',axiom,
    ! [X_124: $int] :
      ( mem0(X_124,g_s308_308)
    <=> mem0(X_124,g_s292_292) ) ).

tff('Define:ctx:243',axiom,
    ! [X_125: $int] :
      ( mem0(X_125,g_s309_309)
     => mem0(X_125,g_s8_8) ) ).

tff('Define:ctx:244',axiom,
    ! [X_126: $int] :
      ( mem0(X_126,g_s309_309)
    <=> mem0(X_126,g_s8_8) ) ).

tff('Define:ctx:245',axiom,
    ! [X_127: $int] :
      ( mem0(X_127,g_s310_310)
     => mem0(X_127,g_s56_56) ) ).

tff('Define:ctx:246',axiom,
    ! [X_128: $int] :
      ( mem0(X_128,g_s310_310)
    <=> ( ( X_128 = g_s57_57 )
        | ( X_128 = g_s58_58 )
        | ( X_128 = g_s59_59 )
        | ( X_128 = g_s60_60 )
        | ( X_128 = g_s61_61 )
        | ( X_128 = g_s62_62 )
        | ( X_128 = g_s63_63 )
        | ( X_128 = g_s64_64 )
        | ( X_128 = g_s65_65 )
        | ( X_128 = g_s66_66 )
        | ( X_128 = g_s67_67 )
        | ( X_128 = g_s71_71 ) ) ) ).

tff('Define:ctx:247',axiom,
    ! [X_129: $int] :
      ( mem0(X_129,g_s311_311)
    <=> mem0(X_129,g_s72_72) ) ).

tff('Define:ctx:248',axiom,
    ! [X_130: $int] :
      ( mem0(X_130,g_s312_312)
    <=> mem0(X_130,g_s310_310) ) ).

tff('Define:ctx:249',axiom,
    ! [X_131: $int] :
      ( mem0(X_131,g_s313_313)
    <=> mem0(X_131,g_s311_311) ) ).

tff('Define:ctx:25',axiom,
    ( ! [X_102: $int] :
        ( mem0(X_102,g_s169_169)
      <=> ( ( X_102 = g_s170_170 )
          | ( X_102 = g_s171_171 )
          | ( X_102 = g_s172_172 ) ) )
    & ( g_s170_170 != g_s171_171 )
    & ( g_s171_171 != g_s172_172 ) ) ).

tff('Define:ctx:250',axiom,
    ! [X_132: $int] :
      ( mem0(X_132,g_s314_314)
    <=> mem0(X_132,g_s110_110) ) ).

tff('Define:ctx:251',axiom,
    ! [X_133: $int] :
      ( mem0(X_133,g_s315_315)
    <=> mem0(X_133,g_s56_56) ) ).

tff('Define:ctx:252',axiom,
    ! [X_134: $int] :
      ( mem0(X_134,g_s316_316)
    <=> mem0(X_134,g_s72_72) ) ).

tff('Define:ctx:253',axiom,
    ! [X_135: $int] :
      ( mem0(X_135,g_s317_317)
    <=> mem0(X_135,g_s315_315) ) ).

tff('Define:ctx:254',axiom,
    ! [X_136: $int] :
      ( mem0(X_136,g_s318_318)
    <=> mem0(X_136,g_s316_316) ) ).

tff('Define:ctx:255',axiom,
    ( $greatereq(g_s319_319,0)
    & $lesseq(g_s319_319,max_int) ) ).

tff('Define:ctx:256',axiom,
    g_s319_319 = 3 ).

tff('Define:ctx:257',axiom,
    ( $greatereq(g_s320_320,0)
    & $lesseq(g_s320_320,max_int) ) ).

tff('Define:ctx:258',axiom,
    g_s320_320 = 64 ).

tff('Define:ctx:259',axiom,
    ! [X_137: $int] :
      ( mem0(X_137,g_s321_321)
     => ( $greatereq(X_137,min_int)
        & $lesseq(X_137,max_int) ) ) ).

tff('Define:ctx:26',axiom,
    ( ! [X_103: $int] :
        ( mem0(X_103,g_s173_173)
      <=> ( ( X_103 = g_s174_174 )
          | ( X_103 = g_s175_175 ) ) )
    & ( g_s174_174 != g_s175_175 ) ) ).

tff('Define:ctx:260',axiom,
    ~ ! [X_138: $int] :
        ( mem0(X_138,g_s321_321)
      <=> $false ) ).

tff('Define:ctx:261',axiom,
    ! [X_139: $int] :
      ( mem0(X_139,g_s321_321)
    <=> ( $greatereq(X_139,0)
        & $lesseq(X_139,g_s319_319) ) ) ).

tff('Define:ctx:262',axiom,
    ! [X_140: $int] :
      ( mem0(X_140,g_s322_322)
     => ( $greatereq(X_140,min_int)
        & $lesseq(X_140,max_int) ) ) ).

tff('Define:ctx:263',axiom,
    ~ ! [X_141: $int] :
        ( mem0(X_141,g_s322_322)
      <=> $false ) ).

tff('Define:ctx:264',axiom,
    ! [X_142: $int] :
      ( mem0(X_142,g_s322_322)
    <=> ( $greatereq(X_142,0)
        & $lesseq(X_142,g_s320_320) ) ) ).

tff('Define:ctx:265',axiom,
    ( $greatereq(g_s323_323,0)
    & $lesseq(g_s323_323,max_int) ) ).

tff('Define:ctx:266',axiom,
    g_s323_323 = 4 ).

tff('Define:ctx:267',axiom,
    ! [X_143: $int] :
      ( mem0(X_143,g_s324_324)
     => ( $greatereq(X_143,min_int)
        & $lesseq(X_143,max_int) ) ) ).

tff('Define:ctx:268',axiom,
    ~ ! [X_144: $int] :
        ( mem0(X_144,g_s324_324)
      <=> $false ) ).

tff('Define:ctx:269',axiom,
    ! [X_145: $int] :
      ( mem0(X_145,g_s324_324)
    <=> ( $greatereq(X_145,1)
        & $lesseq(X_145,g_s323_323) ) ) ).

tff('Define:ctx:27',axiom,
    ( ! [X_104: $int] :
        ( mem0(X_104,g_s176_176)
      <=> ( ( X_104 = g_s177_177 )
          | ( X_104 = g_s178_178 )
          | ( X_104 = g_s179_179 )
          | ( X_104 = g_s180_180 )
          | ( X_104 = g_s181_181 )
          | ( X_104 = g_s182_182 )
          | ( X_104 = g_s183_183 )
          | ( X_104 = g_s184_184 )
          | ( X_104 = g_s185_185 ) ) )
    & ( g_s177_177 != g_s178_178 )
    & ( g_s178_178 != g_s179_179 )
    & ( g_s179_179 != g_s180_180 )
    & ( g_s180_180 != g_s181_181 )
    & ( g_s181_181 != g_s182_182 )
    & ( g_s182_182 != g_s183_183 )
    & ( g_s183_183 != g_s184_184 )
    & ( g_s184_184 != g_s185_185 ) ) ).

tff('Define:ctx:270',axiom,
    ! [X_146: $int] :
      ( mem0(X_146,g_s325_325)
     => mem0(X_146,g_s321_321) ) ).

tff('Define:ctx:271',axiom,
    ! [X_147: $int] :
      ( mem0(X_147,g_s325_325)
    <=> mem0(X_147,g_s321_321) ) ).

tff('Define:ctx:272',axiom,
    ! [X_148: $int] :
      ( mem0(X_148,g_s326_326)
     => mem0(X_148,g_s322_322) ) ).

tff('Define:ctx:273',axiom,
    ! [X_149: $int] :
      ( mem0(X_149,g_s326_326)
    <=> mem0(X_149,g_s322_322) ) ).

tff('Define:ctx:274',axiom,
    ! [X_150: $int] :
      ( mem0(X_150,g_s327_327)
     => ( $greatereq(X_150,0)
        & $lesseq(X_150,max_int) ) ) ).

tff('Define:ctx:275',axiom,
    mem0(g_s328_328,g_s327_327) ).

tff('Define:ctx:276',axiom,
    ! [X_151: $int] :
      ( mem0(X_151,g_s329_329)
     => ( $greatereq(X_151,0)
        & $lesseq(X_151,max_int) ) ) ).

tff('Define:ctx:277',axiom,
    ! [X_152: $int] :
      ( mem0(X_152,g_s329_329)
    <=> mem0(X_152,g_s327_327) ) ).

tff('Define:ctx:278',axiom,
    ! [X_153: $int] :
      ( mem0(X_153,g_s330_330)
     => ( $greatereq(X_153,0)
        & $lesseq(X_153,max_int) ) ) ).

tff('Define:ctx:279',axiom,
    ! [X_154: $int] :
      ( mem0(X_154,g_s331_331)
     => ( $greatereq(X_154,0)
        & $lesseq(X_154,max_int) ) ) ).

tff('Define:ctx:28',axiom,
    ( ! [X_105: $int] :
        ( mem0(X_105,g_s186_186)
      <=> ( ( X_105 = g_s187_187 )
          | ( X_105 = g_s188_188 )
          | ( X_105 = g_s189_189 )
          | ( X_105 = g_s190_190 ) ) )
    & ( g_s187_187 != g_s188_188 )
    & ( g_s188_188 != g_s189_189 )
    & ( g_s189_189 != g_s190_190 ) ) ).

tff('Define:ctx:280',axiom,
    ! [X_155: $o] :
      ( mem3((X_155),g_s332_332)
    <=> $true ) ).

tff('Define:ctx:281',axiom,
    ! [X_156: $o] :
      ( mem3((X_156),g_s333_333)
    <=> $true ) ).

tff('Define:ctx:282',axiom,
    ! [X_157: $int] :
      ( mem0(X_157,g_s334_334)
    <=> ( $greatereq(X_157,min_int)
        & $lesseq(X_157,max_int) ) ) ).

tff('Define:ctx:283',axiom,
    mem0(g_s335_335,g_s281_280) ).

tff('Define:ctx:284',axiom,
    mem0(g_s336_336,g_s281_280) ).

tff('Define:ctx:285',axiom,
    mem0(g_s337_337,g_s281_280) ).

tff('Define:ctx:286',axiom,
    mem0(g_s338_338,g_s281_280) ).

tff('Define:ctx:287',axiom,
    mem0(g_s339_339,g_s281_280) ).

tff('Define:ctx:288',axiom,
    mem0(g_s340_340,g_s281_280) ).

tff('Define:ctx:289',axiom,
    mem0(g_s341_341,g_s281_280) ).

tff('Define:ctx:29',axiom,
    mem3(g_s191_192,g_s192_191) ).

tff('Define:ctx:290',axiom,
    mem0(g_s342_342,g_s281_280) ).

tff('Define:ctx:291',axiom,
    mem0(g_s343_343,g_s281_280) ).

tff('Define:ctx:292',axiom,
    mem0(g_s344_344,g_s281_280) ).

tff('Define:ctx:293',axiom,
    mem0(g_s345_345,g_s281_280) ).

tff('Define:ctx:294',axiom,
    mem0(g_s346_346,g_s281_280) ).

tff('Define:ctx:295',axiom,
    mem0(g_s347_347,g_s281_280) ).

tff('Define:ctx:296',axiom,
    mem0(g_s348_348,g_s281_280) ).

tff('Define:ctx:297',axiom,
    mem0(g_s349_349,g_s281_280) ).

tff('Define:ctx:298',axiom,
    mem0(g_s350_350,g_s281_280) ).

tff('Define:ctx:299',axiom,
    mem0(g_s351_351,g_s281_280) ).

tff('Define:ctx:3',axiom,
    ( ! [X_8: $int] :
        ( mem0(X_8,g_s12_12)
      <=> ( ( X_8 = g_s13_13 )
          | ( X_8 = g_s14_14 )
          | ( X_8 = g_s15_15 )
          | ( X_8 = g_s16_16 )
          | ( X_8 = g_s17_17 ) ) )
    & ( g_s13_13 != g_s14_14 )
    & ( g_s14_14 != g_s15_15 )
    & ( g_s15_15 != g_s16_16 )
    & ( g_s16_16 != g_s17_17 ) ) ).

tff('Define:ctx:30',axiom,
    mem3(g_s193_193,g_s192_191) ).

tff('Define:ctx:300',axiom,
    mem0(g_s352_352,g_s281_280) ).

tff('Define:ctx:301',axiom,
    mem0(g_s353_353,g_s281_280) ).

tff('Define:ctx:302',axiom,
    mem0(g_s354_354,g_s281_280) ).

tff('Define:ctx:303',axiom,
    mem0(g_s355_355,g_s281_280) ).

tff('Define:ctx:304',axiom,
    mem0(g_s356_356,g_s281_280) ).

tff('Define:ctx:305',axiom,
    mem0(g_s357_357,g_s281_280) ).

tff('Define:ctx:306',axiom,
    mem0(g_s358_358,g_s281_280) ).

tff('Define:ctx:307',axiom,
    mem0(g_s359_359,g_s281_280) ).

tff('Define:ctx:308',axiom,
    mem0(g_s360_360,g_s281_280) ).

tff('Define:ctx:309',axiom,
    mem0(g_s361_361,g_s281_280) ).

tff('Define:ctx:31',axiom,
    mem0(g_s194_195,g_s195_194) ).

tff('Define:ctx:310',axiom,
    mem0(g_s362_362,g_s281_280) ).

tff('Define:ctx:311',axiom,
    mem0(g_s363_363,g_s281_280) ).

tff('Define:ctx:312',axiom,
    mem0(g_s364_364,g_s281_280) ).

tff('Define:ctx:313',axiom,
    mem0(g_s365_365,g_s281_280) ).

tff('Define:ctx:314',axiom,
    mem0(g_s366_366,g_s281_280) ).

tff('Define:ctx:315',axiom,
    mem0(g_s367_367,g_s281_280) ).

tff('Define:ctx:316',axiom,
    mem0(g_s368_368,g_s281_280) ).

tff('Define:ctx:317',axiom,
    mem0(g_s369_369,g_s281_280) ).

tff('Define:ctx:318',axiom,
    mem0(g_s370_370,g_s281_280) ).

tff('Define:ctx:319',axiom,
    mem0(g_s371_371,g_s281_280) ).

tff('Define:ctx:32',axiom,
    mem0(g_s196_196,g_s195_194) ).

tff('Define:ctx:320',axiom,
    mem0(g_s372_372,g_s281_280) ).

tff('Define:ctx:321',axiom,
    ! [X_158: $int] :
      ( mem0(X_158,g_s373_373)
    <=> mem0(X_158,g_s281_280) ) ).

tff('Define:ctx:322',axiom,
    mem0(g_s374_374,g_s281_280) ).

tff('Define:ctx:323',axiom,
    mem0(g_s375_375,g_s281_280) ).

tff('Define:ctx:324',axiom,
    mem0(g_s376_376,g_s281_280) ).

tff('Define:ctx:325',axiom,
    mem0(g_s377_377,g_s281_280) ).

tff('Define:ctx:326',axiom,
    mem0(g_s378_378,g_s281_280) ).

tff('Define:ctx:327',axiom,
    mem0(g_s379_379,g_s281_280) ).

tff('Define:ctx:328',axiom,
    mem0(g_s380_380,g_s281_280) ).

tff('Define:ctx:329',axiom,
    g_s377_377 = g_s381_381 ).

tff('Define:ctx:33',axiom,
    mem0(g_s197_197,g_s195_194) ).

tff('Define:ctx:330',axiom,
    g_s378_378 = g_s382_382 ).

tff('Define:ctx:331',axiom,
    g_s379_379 = g_s383_383 ).

tff('Define:ctx:332',axiom,
    g_s380_380 = g_s384_384 ).

tff('Define:ctx:333',axiom,
    g_s335_335 = g_s381_381 ).

tff('Define:ctx:334',axiom,
    g_s336_336 = g_s383_383 ).

tff('Define:ctx:335',axiom,
    g_s337_337 = g_s382_382 ).

tff('Define:ctx:336',axiom,
    g_s338_338 = g_s381_381 ).

tff('Define:ctx:337',axiom,
    g_s339_339 = g_s383_383 ).

tff('Define:ctx:338',axiom,
    g_s340_340 = g_s382_382 ).

tff('Define:ctx:339',axiom,
    g_s341_341 = g_s381_381 ).

tff('Define:ctx:34',axiom,
    mem0(g_s198_198,g_s195_194) ).

tff('Define:ctx:340',axiom,
    g_s342_342 = g_s383_383 ).

tff('Define:ctx:341',axiom,
    g_s343_343 = g_s382_382 ).

tff('Define:ctx:342',axiom,
    g_s344_344 = g_s381_381 ).

tff('Define:ctx:343',axiom,
    g_s345_345 = g_s383_383 ).

tff('Define:ctx:344',axiom,
    g_s346_346 = g_s382_382 ).

tff('Define:ctx:345',axiom,
    g_s347_347 = g_s384_384 ).

tff('Define:ctx:346',axiom,
    g_s348_348 = g_s385_385 ).

tff('Define:ctx:347',axiom,
    g_s349_349 = g_s381_381 ).

tff('Define:ctx:348',axiom,
    g_s350_350 = g_s383_383 ).

tff('Define:ctx:349',axiom,
    g_s351_351 = g_s382_382 ).

tff('Define:ctx:35',axiom,
    mem0(g_s199_199,g_s195_194) ).

tff('Define:ctx:350',axiom,
    g_s352_352 = g_s384_384 ).

tff('Define:ctx:351',axiom,
    g_s353_353 = g_s381_381 ).

tff('Define:ctx:352',axiom,
    g_s354_354 = g_s383_383 ).

tff('Define:ctx:353',axiom,
    g_s355_355 = g_s382_382 ).

tff('Define:ctx:354',axiom,
    g_s356_356 = g_s384_384 ).

tff('Define:ctx:355',axiom,
    g_s357_357 = g_s381_381 ).

tff('Define:ctx:356',axiom,
    g_s358_358 = g_s383_383 ).

tff('Define:ctx:357',axiom,
    g_s359_359 = g_s382_382 ).

tff('Define:ctx:358',axiom,
    g_s360_360 = g_s384_384 ).

tff('Define:ctx:359',axiom,
    g_s361_361 = g_s385_385 ).

tff('Define:ctx:36',axiom,
    mem0(g_s200_200,g_s195_194) ).

tff('Define:ctx:360',axiom,
    g_s362_362 = g_s381_381 ).

tff('Define:ctx:361',axiom,
    g_s363_363 = g_s383_383 ).

tff('Define:ctx:362',axiom,
    g_s364_364 = g_s382_382 ).

tff('Define:ctx:363',axiom,
    g_s365_365 = g_s381_381 ).

tff('Define:ctx:364',axiom,
    g_s366_366 = g_s383_383 ).

tff('Define:ctx:365',axiom,
    g_s367_367 = g_s381_381 ).

tff('Define:ctx:366',axiom,
    g_s368_368 = g_s383_383 ).

tff('Define:ctx:367',axiom,
    g_s369_369 = g_s382_382 ).

tff('Define:ctx:368',axiom,
    g_s370_370 = g_s381_381 ).

tff('Define:ctx:369',axiom,
    g_s371_371 = g_s383_383 ).

tff('Define:ctx:37',axiom,
    mem0(g_s201_201,g_s195_194) ).

tff('Define:ctx:370',axiom,
    g_s372_372 = g_s382_382 ).

tff('Define:ctx:371',axiom,
    g_s374_374 = g_s381_381 ).

tff('Define:ctx:372',axiom,
    g_s375_375 = g_s383_383 ).

tff('Define:ctx:373',axiom,
    g_s376_376 = g_s382_382 ).

tff('Define:ctx:374',axiom,
    mem0(g_s386_386,g_s281_280) ).

tff('Define:ctx:375',axiom,
    mem0(g_s387_387,g_s281_280) ).

tff('Define:ctx:376',axiom,
    mem0(g_s388_388,g_s281_280) ).

tff('Define:ctx:377',axiom,
    mem0(g_s389_389,g_s281_280) ).

tff('Define:ctx:378',axiom,
    mem0(g_s390_390,g_s281_280) ).

tff('Define:ctx:379',axiom,
    mem0(g_s391_391,g_s281_280) ).

tff('Define:ctx:38',axiom,
    mem0(g_s202_202,g_s195_194) ).

tff('Define:ctx:380',axiom,
    mem0(g_s392_392,g_s281_280) ).

tff('Define:ctx:381',axiom,
    mem0(g_s393_393,g_s281_280) ).

tff('Define:ctx:382',axiom,
    mem0(g_s394_394,g_s281_280) ).

tff('Define:ctx:383',axiom,
    mem0(g_s395_395,g_s281_280) ).

tff('Define:ctx:384',axiom,
    mem0(g_s396_396,g_s281_280) ).

tff('Define:ctx:385',axiom,
    mem0(g_s397_397,g_s281_280) ).

tff('Define:ctx:386',axiom,
    mem0(g_s398_398,g_s281_280) ).

tff('Define:ctx:387',axiom,
    mem0(g_s399_399,g_s281_280) ).

tff('Define:ctx:388',axiom,
    mem0(g_s400_400,g_s281_280) ).

tff('Define:ctx:389',axiom,
    mem0(g_s401_401,g_s281_280) ).

tff('Define:ctx:39',axiom,
    mem0(g_s203_203,g_s195_194) ).

tff('Define:ctx:390',axiom,
    mem0(g_s402_402,g_s281_280) ).

tff('Define:ctx:391',axiom,
    mem0(g_s403_403,g_s281_280) ).

tff('Define:ctx:392',axiom,
    mem0(g_s404_404,g_s281_280) ).

tff('Define:ctx:393',axiom,
    mem0(g_s405_405,g_s281_280) ).

tff('Define:ctx:394',axiom,
    mem0(g_s406_406,g_s281_280) ).

tff('Define:ctx:395',axiom,
    mem0(g_s407_407,g_s281_280) ).

tff('Define:ctx:396',axiom,
    mem0(g_s408_408,g_s281_280) ).

tff('Define:ctx:397',axiom,
    mem0(g_s409_409,g_s281_280) ).

tff('Define:ctx:398',axiom,
    mem0(g_s410_410,g_s281_280) ).

tff('Define:ctx:399',axiom,
    g_s386_386 = g_s381_381 ).

tff('Define:ctx:4',axiom,
    ( ! [X_9: $int] :
        ( mem0(X_9,g_s18_18)
      <=> ( ( X_9 = g_s19_19 )
          | ( X_9 = g_s20_20 ) ) )
    & ( g_s19_19 != g_s20_20 ) ) ).

tff('Define:ctx:40',axiom,
    mem0(g_s204_204,g_s195_194) ).

tff('Define:ctx:400',axiom,
    g_s387_387 = g_s383_383 ).

tff('Define:ctx:401',axiom,
    g_s388_388 = g_s382_382 ).

tff('Define:ctx:402',axiom,
    g_s389_389 = g_s384_384 ).

tff('Define:ctx:403',axiom,
    g_s390_390 = g_s385_385 ).

tff('Define:ctx:404',axiom,
    g_s391_391 = g_s411_411 ).

tff('Define:ctx:405',axiom,
    g_s392_392 = g_s412_412 ).

tff('Define:ctx:406',axiom,
    g_s393_393 = g_s413_413 ).

tff('Define:ctx:407',axiom,
    g_s394_394 = g_s414_414 ).

tff('Define:ctx:408',axiom,
    g_s395_395 = g_s415_415 ).

tff('Define:ctx:409',axiom,
    g_s396_396 = g_s416_416 ).

tff('Define:ctx:41',axiom,
    mem0(g_s205_205,g_s195_194) ).

tff('Define:ctx:410',axiom,
    g_s397_397 = g_s417_417 ).

tff('Define:ctx:411',axiom,
    g_s398_398 = g_s418_418 ).

tff('Define:ctx:412',axiom,
    g_s399_399 = g_s419_419 ).

tff('Define:ctx:413',axiom,
    g_s400_400 = g_s420_420 ).

tff('Define:ctx:414',axiom,
    g_s401_401 = g_s421_421 ).

tff('Define:ctx:415',axiom,
    g_s402_402 = g_s422_422 ).

tff('Define:ctx:416',axiom,
    g_s403_403 = g_s423_423 ).

tff('Define:ctx:417',axiom,
    g_s404_404 = g_s424_424 ).

tff('Define:ctx:418',axiom,
    g_s405_405 = g_s425_425 ).

tff('Define:ctx:419',axiom,
    g_s406_406 = g_s426_426 ).

tff('Define:ctx:42',axiom,
    mem0(g_s206_206,g_s195_194) ).

tff('Define:ctx:420',axiom,
    g_s407_407 = g_s427_427 ).

tff('Define:ctx:421',axiom,
    g_s408_408 = g_s428_428 ).

tff('Define:ctx:422',axiom,
    g_s409_409 = g_s429_429 ).

tff('Define:ctx:423',axiom,
    g_s410_410 = g_s430_430 ).

tff('Define:ctx:424',axiom,
    mem0(g_s431_431,g_s281_280) ).

tff('Define:ctx:425',axiom,
    mem0(g_s432_432,g_s281_280) ).

tff('Define:ctx:426',axiom,
    mem0(g_s433_433,g_s281_280) ).

tff('Define:ctx:427',axiom,
    mem0(g_s434_434,g_s281_280) ).

tff('Define:ctx:428',axiom,
    mem0(g_s435_435,g_s281_280) ).

tff('Define:ctx:429',axiom,
    mem0(g_s436_436,g_s281_280) ).

tff('Define:ctx:43',axiom,
    mem0(g_s207_207,g_s195_194) ).

tff('Define:ctx:430',axiom,
    mem0(g_s437_437,g_s281_280) ).

tff('Define:ctx:431',axiom,
    mem0(g_s438_438,g_s281_280) ).

tff('Define:ctx:432',axiom,
    mem0(g_s439_439,g_s281_280) ).

tff('Define:ctx:433',axiom,
    mem0(g_s440_440,g_s281_280) ).

tff('Define:ctx:434',axiom,
    mem0(g_s441_441,g_s281_280) ).

tff('Define:ctx:435',axiom,
    mem0(g_s442_442,g_s281_280) ).

tff('Define:ctx:436',axiom,
    mem0(g_s443_443,g_s281_280) ).

tff('Define:ctx:437',axiom,
    mem0(g_s444_444,g_s281_280) ).

tff('Define:ctx:438',axiom,
    g_s431_431 = g_s381_381 ).

tff('Define:ctx:439',axiom,
    g_s432_432 = g_s383_383 ).

tff('Define:ctx:44',axiom,
    mem0(g_s208_208,g_s195_194) ).

tff('Define:ctx:440',axiom,
    g_s433_433 = g_s382_382 ).

tff('Define:ctx:441',axiom,
    g_s434_434 = g_s384_384 ).

tff('Define:ctx:442',axiom,
    g_s435_435 = g_s385_385 ).

tff('Define:ctx:443',axiom,
    g_s436_436 = g_s411_411 ).

tff('Define:ctx:444',axiom,
    g_s437_437 = g_s412_412 ).

tff('Define:ctx:445',axiom,
    g_s438_438 = g_s413_413 ).

tff('Define:ctx:446',axiom,
    g_s439_439 = g_s414_414 ).

tff('Define:ctx:447',axiom,
    g_s440_440 = g_s415_415 ).

tff('Define:ctx:448',axiom,
    g_s441_441 = g_s416_416 ).

tff('Define:ctx:449',axiom,
    g_s442_442 = g_s417_417 ).

tff('Define:ctx:45',axiom,
    mem0(g_s209_209,g_s195_194) ).

tff('Define:ctx:450',axiom,
    g_s443_443 = g_s418_418 ).

tff('Define:ctx:451',axiom,
    g_s445_445 = g_s381_381 ).

tff('Define:ctx:452',axiom,
    g_s446_446 = g_s383_383 ).

tff('Define:ctx:453',axiom,
    g_s447_447 = g_s382_382 ).

tff('Define:ctx:454',axiom,
    g_s448_448 = g_s384_384 ).

tff('Define:ctx:455',axiom,
    g_s449_449 = g_s385_385 ).

tff('Define:ctx:456',axiom,
    g_s450_450 = g_s411_411 ).

tff('Define:ctx:457',axiom,
    g_s451_451 = g_s412_412 ).

tff('Define:ctx:458',axiom,
    g_s452_452 = g_s413_413 ).

tff('Define:ctx:459',axiom,
    g_s453_453 = g_s414_414 ).

tff('Define:ctx:46',axiom,
    mem0(g_s210_210,g_s195_194) ).

tff('Define:ctx:460',axiom,
    g_s454_454 = g_s415_415 ).

tff('Define:ctx:461',axiom,
    g_s455_455 = g_s416_416 ).

tff('Define:ctx:462',axiom,
    g_s456_456 = g_s417_417 ).

tff('Define:ctx:463',axiom,
    g_s457_457 = g_s418_418 ).

tff('Define:ctx:464',axiom,
    g_s458_458 = g_s419_419 ).

tff('Define:ctx:465',axiom,
    g_s459_459 = g_s420_420 ).

tff('Define:ctx:466',axiom,
    g_s460_460 = g_s421_421 ).

tff('Define:ctx:467',axiom,
    g_s461_461 = g_s422_422 ).

tff('Define:ctx:468',axiom,
    g_s462_462 = g_s423_423 ).

tff('Define:ctx:469',axiom,
    g_s463_463 = g_s424_424 ).

tff('Define:ctx:47',axiom,
    mem0(g_s211_211,g_s195_194) ).

tff('Define:ctx:470',axiom,
    g_s464_464 = g_s425_425 ).

tff('Define:ctx:471',axiom,
    g_s465_465 = g_s426_426 ).

tff('Define:ctx:472',axiom,
    g_s466_466 = g_s427_427 ).

tff('Define:ctx:473',axiom,
    g_s467_467 = g_s428_428 ).

tff('Define:ctx:474',axiom,
    g_s468_468 = g_s429_429 ).

tff('Define:ctx:475',axiom,
    g_s469_469 = g_s430_430 ).

tff('Define:ctx:476',axiom,
    g_s470_470 = g_s471_471 ).

tff('Define:ctx:477',axiom,
    g_s472_472 = g_s473_473 ).

tff('Define:ctx:478',axiom,
    g_s474_474 = g_s475_475 ).

tff('Define:ctx:479',axiom,
    g_s476_476 = g_s477_477 ).

tff('Define:ctx:48',axiom,
    mem0(g_s212_212,g_s195_194) ).

tff('Define:ctx:480',axiom,
    g_s478_478 = g_s479_479 ).

tff('Define:ctx:481',axiom,
    g_s480_480 = g_s481_481 ).

tff('Define:ctx:482',axiom,
    g_s482_482 = g_s483_483 ).

tff('Define:ctx:483',axiom,
    g_s484_484 = g_s381_381 ).

tff('Define:ctx:484',axiom,
    g_s485_485 = g_s383_383 ).

tff('Define:ctx:485',axiom,
    g_s486_486 = g_s382_382 ).

tff('Define:ctx:486',axiom,
    g_s487_487 = g_s384_384 ).

tff('Define:ctx:487',axiom,
    g_s488_488 = g_s385_385 ).

tff('Define:ctx:488',axiom,
    g_s489_489 = g_s411_411 ).

tff('Define:ctx:489',axiom,
    g_s490_490 = g_s412_412 ).

tff('Define:ctx:49',axiom,
    mem0(g_s213_213,g_s195_194) ).

tff('Define:ctx:490',axiom,
    mem0(g_s491_491,g_s281_280) ).

tff('Define:ctx:491',axiom,
    mem0(g_s492_492,g_s281_280) ).

tff('Define:ctx:492',axiom,
    mem0(g_s493_493,g_s281_280) ).

tff('Define:ctx:493',axiom,
    mem0(g_s494_494,g_s281_280) ).

tff('Define:ctx:494',axiom,
    mem0(g_s495_495,g_s281_280) ).

tff('Define:ctx:495',axiom,
    mem0(g_s496_496,g_s281_280) ).

tff('Define:ctx:496',axiom,
    mem0(g_s497_497,g_s281_280) ).

tff('Define:ctx:497',axiom,
    mem0(g_s498_498,g_s281_280) ).

tff('Define:ctx:498',axiom,
    mem0(g_s499_499,g_s281_280) ).

tff('Define:ctx:499',axiom,
    mem0(g_s500_500,g_s281_280) ).

tff('Define:ctx:5',axiom,
    ( ! [X_10: $int] :
        ( mem0(X_10,g_s21_21)
      <=> ( ( X_10 = g_s22_22 )
          | ( X_10 = g_s23_23 )
          | ( X_10 = g_s24_24 )
          | ( X_10 = g_s25_25 ) ) )
    & ( g_s22_22 != g_s23_23 )
    & ( g_s23_23 != g_s24_24 )
    & ( g_s24_24 != g_s25_25 ) ) ).

tff('Define:ctx:50',axiom,
    mem0(g_s214_214,g_s195_194) ).

tff('Define:ctx:500',axiom,
    mem0(g_s501_501,g_s281_280) ).

tff('Define:ctx:501',axiom,
    mem0(g_s502_502,g_s281_280) ).

tff('Define:ctx:502',axiom,
    mem0(g_s503_503,g_s281_280) ).

tff('Define:ctx:503',axiom,
    mem0(g_s504_504,g_s281_280) ).

tff('Define:ctx:504',axiom,
    mem0(g_s505_505,g_s281_280) ).

tff('Define:ctx:505',axiom,
    mem0(g_s506_506,g_s281_280) ).

tff('Define:ctx:506',axiom,
    mem0(g_s507_507,g_s281_280) ).

tff('Define:ctx:507',axiom,
    mem0(g_s508_508,g_s281_280) ).

tff('Define:ctx:508',axiom,
    mem0(g_s509_509,g_s281_280) ).

tff('Define:ctx:509',axiom,
    mem0(g_s510_510,g_s281_280) ).

tff('Define:ctx:51',axiom,
    mem0(g_s215_215,g_s195_194) ).

tff('Define:ctx:510',axiom,
    mem0(g_s511_511,g_s281_280) ).

tff('Define:ctx:511',axiom,
    mem0(g_s512_512,g_s281_280) ).

tff('Define:ctx:512',axiom,
    mem0(g_s513_513,g_s281_280) ).

tff('Define:ctx:513',axiom,
    mem0(g_s514_514,g_s281_280) ).

tff('Define:ctx:514',axiom,
    mem0(g_s515_515,g_s281_280) ).

tff('Define:ctx:515',axiom,
    mem0(g_s516_516,g_s281_280) ).

tff('Define:ctx:516',axiom,
    mem0(g_s517_517,g_s281_280) ).

tff('Define:ctx:517',axiom,
    mem0(g_s518_518,g_s281_280) ).

tff('Define:ctx:518',axiom,
    mem0(g_s519_519,g_s281_280) ).

tff('Define:ctx:519',axiom,
    mem0(g_s520_520,g_s281_280) ).

tff('Define:ctx:52',axiom,
    mem0(g_s216_216,g_s195_194) ).

tff('Define:ctx:520',axiom,
    mem0(g_s521_521,g_s281_280) ).

tff('Define:ctx:521',axiom,
    mem0(g_s522_522,g_s281_280) ).

tff('Define:ctx:522',axiom,
    g_s491_491 = g_s381_381 ).

tff('Define:ctx:523',axiom,
    g_s492_492 = g_s383_383 ).

tff('Define:ctx:524',axiom,
    g_s493_493 = g_s382_382 ).

tff('Define:ctx:525',axiom,
    g_s494_494 = g_s384_384 ).

tff('Define:ctx:526',axiom,
    g_s495_495 = g_s385_385 ).

tff('Define:ctx:527',axiom,
    g_s496_496 = g_s411_411 ).

tff('Define:ctx:528',axiom,
    g_s497_497 = g_s412_412 ).

tff('Define:ctx:529',axiom,
    g_s498_498 = g_s413_413 ).

tff('Define:ctx:53',axiom,
    mem0(g_s217_217,g_s195_194) ).

tff('Define:ctx:530',axiom,
    g_s499_499 = g_s414_414 ).

tff('Define:ctx:531',axiom,
    g_s500_500 = g_s415_415 ).

tff('Define:ctx:532',axiom,
    g_s501_501 = g_s416_416 ).

tff('Define:ctx:533',axiom,
    g_s502_502 = g_s417_417 ).

tff('Define:ctx:534',axiom,
    g_s503_503 = g_s418_418 ).

tff('Define:ctx:535',axiom,
    g_s504_504 = g_s419_419 ).

tff('Define:ctx:536',axiom,
    g_s505_505 = g_s420_420 ).

tff('Define:ctx:537',axiom,
    g_s506_506 = g_s421_421 ).

tff('Define:ctx:538',axiom,
    g_s507_507 = g_s422_422 ).

tff('Define:ctx:539',axiom,
    g_s508_508 = g_s423_423 ).

tff('Define:ctx:54',axiom,
    mem0(g_s218_218,g_s195_194) ).

tff('Define:ctx:540',axiom,
    g_s509_509 = g_s424_424 ).

tff('Define:ctx:541',axiom,
    g_s510_510 = g_s425_425 ).

tff('Define:ctx:542',axiom,
    g_s511_511 = g_s426_426 ).

tff('Define:ctx:543',axiom,
    g_s512_512 = g_s427_427 ).

tff('Define:ctx:544',axiom,
    g_s513_513 = g_s428_428 ).

tff('Define:ctx:545',axiom,
    g_s514_514 = g_s429_429 ).

tff('Define:ctx:546',axiom,
    g_s515_515 = g_s430_430 ).

tff('Define:ctx:547',axiom,
    g_s516_516 = g_s471_471 ).

tff('Define:ctx:548',axiom,
    g_s517_517 = g_s473_473 ).

tff('Define:ctx:549',axiom,
    g_s518_518 = g_s475_475 ).

tff('Define:ctx:55',axiom,
    mem0(g_s219_219,g_s195_194) ).

tff('Define:ctx:550',axiom,
    g_s519_519 = g_s477_477 ).

tff('Define:ctx:551',axiom,
    g_s520_520 = g_s479_479 ).

tff('Define:ctx:552',axiom,
    g_s521_521 = g_s481_481 ).

tff('Define:ctx:553',axiom,
    g_s522_522 = g_s483_483 ).

tff('Define:ctx:554',axiom,
    ( $greatereq(g_s523_523,min_int)
    & $lesseq(g_s523_523,max_int) ) ).

tff('Define:ctx:555',axiom,
    ( $greatereq(g_s524_524,min_int)
    & $lesseq(g_s524_524,max_int) ) ).

tff('Define:ctx:556',axiom,
    ( $greatereq(g_s525_525,min_int)
    & $lesseq(g_s525_525,max_int) ) ).

tff('Define:ctx:557',axiom,
    ( $greatereq(g_s526_526,min_int)
    & $lesseq(g_s526_526,max_int) ) ).

tff('Define:ctx:558',axiom,
    ( $greatereq(g_s527_527,min_int)
    & $lesseq(g_s527_527,max_int) ) ).

tff('Define:ctx:559',axiom,
    mem0(g_s528_528,g_s297_297) ).

tff('Define:ctx:56',axiom,
    mem0(g_s220_220,g_s195_194) ).

tff('Define:ctx:560',axiom,
    g_s528_528 = $uminus(131072000) ).

tff('Define:ctx:561',axiom,
    ! [X_159: $int] :
      ( mem0(X_159,g_s529_529)
     => ( $greatereq(X_159,0)
        & $lesseq(X_159,max_int) ) ) ).

tff('Define:ctx:562',axiom,
    ~ ! [X_160: $int] :
        ( mem0(X_160,g_s529_529)
      <=> $false ) ).

tff('Define:ctx:563',axiom,
    ! [X_161: $int] :
      ( mem0(X_161,g_s529_529)
    <=> ( $greatereq(X_161,0)
        & $lesseq(X_161,31) ) ) ).

tff('Define:ctx:564',axiom,
    ! [X_162: $int] :
      ( mem0(X_162,g_s530_530)
    <=> mem0(X_162,g_s529_529) ) ).

tff('Define:ctx:565',axiom,
    ! [X_163: $int] :
      ( mem0(X_163,g_s531_531)
     => mem0(X_163,g_s176_176) ) ).

tff('Define:ctx:566',axiom,
    ! [X_164: $int] :
      ( mem0(X_164,g_s531_531)
    <=> ( ( X_164 = g_s178_178 )
        | ( X_164 = g_s179_179 )
        | ( X_164 = g_s180_180 )
        | ( X_164 = g_s181_181 )
        | ( X_164 = g_s182_182 )
        | ( X_164 = g_s183_183 )
        | ( X_164 = g_s184_184 )
        | ( X_164 = g_s185_185 ) ) ) ).

tff('Define:ctx:567',axiom,
    mem0(g_s177_177,g_s176_176) ).

tff('Define:ctx:568',axiom,
    ~ mem0(g_s177_177,g_s531_531) ).

tff('Define:ctx:569',axiom,
    ! [X_165: $int] :
      ( mem0(X_165,g_s532_532)
    <=> mem0(X_165,g_s132_132) ) ).

tff('Define:ctx:57',axiom,
    mem0(g_s221_221,g_s195_194) ).

tff('Define:ctx:570',axiom,
    ! [X_166: $int] :
      ( mem0(X_166,g_s533_533)
    <=> mem0(X_166,g_s133_133) ) ).

tff('Define:ctx:571',axiom,
    ! [X_167: $int] :
      ( mem0(X_167,g_s534_534)
     => mem0(X_167,g_s129_129) ) ).

tff('Define:ctx:572',axiom,
    ! [X_168: $int] :
      ( mem0(X_168,g_s535_535)
     => mem0(X_168,g_s129_129) ) ).

tff('Define:ctx:573',axiom,
    ! [X_169: $int] :
      ( mem0(X_169,g_s536_536)
     => mem0(X_169,g_s535_535) ) ).

tff('Define:ctx:574',axiom,
    ! [X_170: $int] :
      ( mem0(X_170,g_s536_536)
    <=> mem0(X_170,g_s534_534) ) ).

tff('Define:ctx:575',axiom,
    ! [X_171: $int] :
      ( mem0(X_171,g_s537_537)
     => ( $greatereq(X_171,0)
        & $lesseq(X_171,max_int) ) ) ).

tff('Define:ctx:576',axiom,
    ~ ! [X_172: $int] :
        ( mem0(X_172,g_s537_537)
      <=> $false ) ).

tff('Define:ctx:577',axiom,
    ! [X_173: $int] :
      ( mem0(X_173,g_s537_537)
    <=> ( $greatereq(X_173,0)
        & $lesseq(X_173,2) ) ) ).

tff('Define:ctx:578',axiom,
    mem0(g_s538_538,g_s537_537) ).

tff('Define:ctx:579',axiom,
    ~ ! [X_174: $int] :
        ( mem0(X_174,g_s534_534)
      <=> $false ) ).

tff('Define:ctx:58',axiom,
    mem0(g_s222_222,g_s195_194) ).

tff('Define:ctx:580',axiom,
    ! [X_175: $int] :
      ( mem0(X_175,g_s539_539)
     => mem0(X_175,g_s130_130) ) ).

tff('Define:ctx:581',axiom,
    ~ ! [X_176: $int] :
        ( mem0(X_176,g_s539_539)
      <=> $false ) ).

tff('Define:ctx:582',axiom,
    ! [X_177: $int] :
      ( mem0(X_177,g_s540_540)
    <=> mem0(X_177,g_s130_130) ) ).

tff('Define:ctx:583',axiom,
    ! [X_178: $int] :
      ( mem0(X_178,g_s541_541)
     => mem0(X_178,g_s540_540) ) ).

tff('Define:ctx:584',axiom,
    ! [X_179: $int] :
      ( mem0(X_179,g_s541_541)
    <=> mem0(X_179,g_s539_539) ) ).

tff('Define:ctx:585',axiom,
    ! [X_180: $int] :
      ( mem0(X_180,g_s542_542)
    <=> ( $greatereq(X_180,0)
        & $lesseq(X_180,max_int) ) ) ).

tff('Define:ctx:586',axiom,
    ! [X_181: $int] :
      ( mem0(X_181,g_s543_543)
     => mem0(X_181,g_s131_131) ) ).

tff('Define:ctx:587',axiom,
    ! [X_182: $int] :
      ( mem0(X_182,g_s544_544)
    <=> mem0(X_182,g_s131_131) ) ).

tff('Define:ctx:588',axiom,
    ! [X_183: $int] :
      ( mem0(X_183,g_s545_545)
     => mem0(X_183,g_s131_131) ) ).

tff('Define:ctx:589',axiom,
    ! [X_184: $int] :
      ( mem0(X_184,g_s545_545)
    <=> mem0(X_184,g_s543_543) ) ).

tff('Define:ctx:59',axiom,
    mem0(g_s223_223,g_s195_194) ).

tff('Define:ctx:590',axiom,
    ! [X_185: $int] :
      ( mem0(X_185,g_s546_546)
     => mem0(X_185,g_s132_132) ) ).

tff('Define:ctx:591',axiom,
    ! [X_186: $int] :
      ( mem0(X_186,g_s547_547)
     => mem0(X_186,g_s532_532) ) ).

tff('Define:ctx:592',axiom,
    ! [X_187: $int] :
      ( mem0(X_187,g_s548_548)
    <=> ( $greatereq(X_187,0)
        & $lesseq(X_187,max_int) ) ) ).

tff('Define:ctx:593',axiom,
    ! [X_188: $int] :
      ( mem0(X_188,g_s549_549)
    <=> ( $greatereq(X_188,0)
        & $lesseq(X_188,max_int) ) ) ).

tff('Define:ctx:594',axiom,
    ! [X_189: $int] :
      ( mem0(X_189,g_s550_550)
    <=> ( $greatereq(X_189,0)
        & $lesseq(X_189,max_int) ) ) ).

tff('Define:ctx:595',axiom,
    ! [X_190: $int] :
      ( mem0(X_190,g_s551_551)
     => ( $greatereq(X_190,0)
        & $lesseq(X_190,max_int) ) ) ).

tff('Define:ctx:596',axiom,
    ~ ! [X_191: $int] :
        ( mem0(X_191,g_s551_551)
      <=> $false ) ).

tff('Define:ctx:597',axiom,
    ! [X_192: $int] :
      ( mem0(X_192,g_s551_551)
    <=> ! [X_193: $int,X_194: $int] :
          ( ( mem0(X_193,g_s551_551)
            & ! [X_195: $int] :
                ( mem0(X_195,g_s551_551)
               => $lesseq(X_193,X_195) )
            & mem0(X_194,g_s551_551)
            & ! [X_196: $int] :
                ( mem0(X_196,g_s551_551)
               => $greatereq(X_194,X_196) ) )
         => ( $greatereq(X_192,X_193)
            & $lesseq(X_192,X_194) ) ) ) ).

tff('Define:ctx:598',axiom,
    ! [X_197: $int] :
      ( mem0(X_197,g_s552_552)
     => ( $greatereq(X_197,0)
        & $lesseq(X_197,max_int) ) ) ).

tff('Define:ctx:599',axiom,
    ~ ! [X_198: $int] :
        ( mem0(X_198,g_s552_552)
      <=> $false ) ).

tff('Define:ctx:6',axiom,
    ( ! [X_11: $int] :
        ( mem0(X_11,g_s26_26)
      <=> ( ( X_11 = g_s27_27 )
          | ( X_11 = g_s28_28 )
          | ( X_11 = g_s29_29 )
          | ( X_11 = g_s30_30 )
          | ( X_11 = g_s31_31 ) ) )
    & ( g_s27_27 != g_s28_28 )
    & ( g_s28_28 != g_s29_29 )
    & ( g_s29_29 != g_s30_30 )
    & ( g_s30_30 != g_s31_31 ) ) ).

tff('Define:ctx:60',axiom,
    mem0(g_s224_224,g_s195_194) ).

tff('Define:ctx:600',axiom,
    ! [X_199: $int] :
      ( mem0(X_199,g_s552_552)
    <=> ! [X_200: $int,X_201: $int] :
          ( ( mem0(X_200,g_s552_552)
            & ! [X_202: $int] :
                ( mem0(X_202,g_s552_552)
               => $lesseq(X_200,X_202) )
            & mem0(X_201,g_s552_552)
            & ! [X_203: $int] :
                ( mem0(X_203,g_s552_552)
               => $greatereq(X_201,X_203) ) )
         => ( $greatereq(X_199,X_200)
            & $lesseq(X_199,X_201) ) ) ) ).

tff('Define:ctx:601',axiom,
    ! [X_204: $int] :
      ( mem0(X_204,g_s553_553)
     => ( $greatereq(X_204,0)
        & $lesseq(X_204,max_int) ) ) ).

tff('Define:ctx:602',axiom,
    ~ ! [X_205: $int] :
        ( mem0(X_205,g_s553_553)
      <=> $false ) ).

tff('Define:ctx:603',axiom,
    ! [X_206: $int] :
      ( mem0(X_206,g_s553_553)
    <=> ! [X_207: $int,X_208: $int] :
          ( ( mem0(X_207,g_s553_553)
            & ! [X_209: $int] :
                ( mem0(X_209,g_s553_553)
               => $lesseq(X_207,X_209) )
            & mem0(X_208,g_s553_553)
            & ! [X_210: $int] :
                ( mem0(X_210,g_s553_553)
               => $greatereq(X_208,X_210) ) )
         => ( $greatereq(X_206,X_207)
            & $lesseq(X_206,X_208) ) ) ) ).

tff('Define:ctx:604',axiom,
    ! [X_211: $int] :
      ( mem0(X_211,g_s554_554)
     => ( $greatereq(X_211,0)
        & $lesseq(X_211,max_int) ) ) ).

tff('Define:ctx:605',axiom,
    ~ ! [X_212: $int] :
        ( mem0(X_212,g_s554_554)
      <=> $false ) ).

tff('Define:ctx:606',axiom,
    ! [X_213: $int] :
      ( mem0(X_213,g_s554_554)
    <=> ! [X_214: $int,X_215: $int] :
          ( ( mem0(X_214,g_s554_554)
            & ! [X_216: $int] :
                ( mem0(X_216,g_s554_554)
               => $lesseq(X_214,X_216) )
            & mem0(X_215,g_s554_554)
            & ! [X_217: $int] :
                ( mem0(X_217,g_s554_554)
               => $greatereq(X_215,X_217) ) )
         => ( $greatereq(X_213,X_214)
            & $lesseq(X_213,X_215) ) ) ) ).

tff('Define:ctx:607',axiom,
    ! [X_218: $int] :
      ( mem0(X_218,g_s555_555)
     => ( $greatereq(X_218,0)
        & $lesseq(X_218,max_int) ) ) ).

tff('Define:ctx:608',axiom,
    ~ ! [X_219: $int] :
        ( mem0(X_219,g_s555_555)
      <=> $false ) ).

tff('Define:ctx:609',axiom,
    ! [X_220: $int] :
      ( mem0(X_220,g_s555_555)
    <=> ! [X_221: $int,X_222: $int] :
          ( ( mem0(X_221,g_s555_555)
            & ! [X_223: $int] :
                ( mem0(X_223,g_s555_555)
               => $lesseq(X_221,X_223) )
            & mem0(X_222,g_s555_555)
            & ! [X_224: $int] :
                ( mem0(X_224,g_s555_555)
               => $greatereq(X_222,X_224) ) )
         => ( $greatereq(X_220,X_221)
            & $lesseq(X_220,X_222) ) ) ) ).

tff('Define:ctx:61',axiom,
    mem0(g_s225_225,g_s195_194) ).

tff('Define:ctx:610',axiom,
    ! [X_225: $int] :
      ( mem0(X_225,g_s556_556)
     => ( $greatereq(X_225,0)
        & $lesseq(X_225,max_int) ) ) ).

tff('Define:ctx:611',axiom,
    ~ ! [X_226: $int] :
        ( mem0(X_226,g_s556_556)
      <=> $false ) ).

tff('Define:ctx:612',axiom,
    ! [X_227: $int] :
      ( mem0(X_227,g_s556_556)
    <=> ! [X_228: $int,X_229: $int] :
          ( ( mem0(X_228,g_s556_556)
            & ! [X_230: $int] :
                ( mem0(X_230,g_s556_556)
               => $lesseq(X_228,X_230) )
            & mem0(X_229,g_s556_556)
            & ! [X_231: $int] :
                ( mem0(X_231,g_s556_556)
               => $greatereq(X_229,X_231) ) )
         => ( $greatereq(X_227,X_228)
            & $lesseq(X_227,X_229) ) ) ) ).

tff('Define:ctx:613',axiom,
    ! [X_232: $int] :
      ( mem0(X_232,g_s557_557)
     => ( $greatereq(X_232,0)
        & $lesseq(X_232,max_int) ) ) ).

tff('Define:ctx:614',axiom,
    ~ ! [X_233: $int] :
        ( mem0(X_233,g_s557_557)
      <=> $false ) ).

tff('Define:ctx:615',axiom,
    ! [X_234: $int] :
      ( mem0(X_234,g_s557_557)
    <=> ! [X_235: $int,X_236: $int] :
          ( ( mem0(X_235,g_s557_557)
            & ! [X_237: $int] :
                ( mem0(X_237,g_s557_557)
               => $lesseq(X_235,X_237) )
            & mem0(X_236,g_s557_557)
            & ! [X_238: $int] :
                ( mem0(X_238,g_s557_557)
               => $greatereq(X_236,X_238) ) )
         => ( $greatereq(X_234,X_235)
            & $lesseq(X_234,X_236) ) ) ) ).

tff('Define:ctx:616',axiom,
    ! [X_239: $int] :
      ( mem0(X_239,g_s558_558)
     => ( $greatereq(X_239,0)
        & $lesseq(X_239,max_int) ) ) ).

tff('Define:ctx:617',axiom,
    ~ ! [X_240: $int] :
        ( mem0(X_240,g_s558_558)
      <=> $false ) ).

tff('Define:ctx:618',axiom,
    ! [X_241: $int] :
      ( mem0(X_241,g_s558_558)
    <=> ! [X_242: $int,X_243: $int] :
          ( ( mem0(X_242,g_s558_558)
            & ! [X_244: $int] :
                ( mem0(X_244,g_s558_558)
               => $lesseq(X_242,X_244) )
            & mem0(X_243,g_s558_558)
            & ! [X_245: $int] :
                ( mem0(X_245,g_s558_558)
               => $greatereq(X_243,X_245) ) )
         => ( $greatereq(X_241,X_242)
            & $lesseq(X_241,X_243) ) ) ) ).

tff('Define:ctx:619',axiom,
    ! [X_246: $int] :
      ( mem0(X_246,g_s559_559)
     => ( $greatereq(X_246,0)
        & $lesseq(X_246,max_int) ) ) ).

tff('Define:ctx:62',axiom,
    mem0(g_s226_226,g_s195_194) ).

tff('Define:ctx:620',axiom,
    ~ ! [X_247: $int] :
        ( mem0(X_247,g_s559_559)
      <=> $false ) ).

tff('Define:ctx:621',axiom,
    ! [X_248: $int] :
      ( mem0(X_248,g_s559_559)
    <=> ! [X_249: $int,X_250: $int] :
          ( ( mem0(X_249,g_s559_559)
            & ! [X_251: $int] :
                ( mem0(X_251,g_s559_559)
               => $lesseq(X_249,X_251) )
            & mem0(X_250,g_s559_559)
            & ! [X_252: $int] :
                ( mem0(X_252,g_s559_559)
               => $greatereq(X_250,X_252) ) )
         => ( $greatereq(X_248,X_249)
            & $lesseq(X_248,X_250) ) ) ) ).

tff('Define:ctx:622',axiom,
    ! [X_253: $int] :
      ( mem0(X_253,g_s560_560)
     => ( $greatereq(X_253,0)
        & $lesseq(X_253,max_int) ) ) ).

tff('Define:ctx:623',axiom,
    ~ ! [X_254: $int] :
        ( mem0(X_254,g_s560_560)
      <=> $false ) ).

tff('Define:ctx:624',axiom,
    ! [X_255: $int] :
      ( mem0(X_255,g_s560_560)
    <=> ! [X_256: $int,X_257: $int] :
          ( ( mem0(X_256,g_s560_560)
            & ! [X_258: $int] :
                ( mem0(X_258,g_s560_560)
               => $lesseq(X_256,X_258) )
            & mem0(X_257,g_s560_560)
            & ! [X_259: $int] :
                ( mem0(X_259,g_s560_560)
               => $greatereq(X_257,X_259) ) )
         => ( $greatereq(X_255,X_256)
            & $lesseq(X_255,X_257) ) ) ) ).

tff('Define:ctx:625',axiom,
    ! [X_260: $int] :
      ( mem0(X_260,g_s561_561)
     => ( $greatereq(X_260,0)
        & $lesseq(X_260,max_int) ) ) ).

tff('Define:ctx:626',axiom,
    ~ ! [X_261: $int] :
        ( mem0(X_261,g_s561_561)
      <=> $false ) ).

tff('Define:ctx:627',axiom,
    ! [X_262: $int] :
      ( mem0(X_262,g_s561_561)
    <=> ! [X_263: $int,X_264: $int] :
          ( ( mem0(X_263,g_s561_561)
            & ! [X_265: $int] :
                ( mem0(X_265,g_s561_561)
               => $lesseq(X_263,X_265) )
            & mem0(X_264,g_s561_561)
            & ! [X_266: $int] :
                ( mem0(X_266,g_s561_561)
               => $greatereq(X_264,X_266) ) )
         => ( $greatereq(X_262,X_263)
            & $lesseq(X_262,X_264) ) ) ) ).

tff('Define:ctx:628',axiom,
    ! [X_267: $int] :
      ( mem0(X_267,g_s562_562)
     => ( $greatereq(X_267,0)
        & $lesseq(X_267,max_int) ) ) ).

tff('Define:ctx:629',axiom,
    ~ ! [X_268: $int] :
        ( mem0(X_268,g_s562_562)
      <=> $false ) ).

tff('Define:ctx:63',axiom,
    mem0(g_s227_227,g_s195_194) ).

tff('Define:ctx:630',axiom,
    ! [X_269: $int] :
      ( mem0(X_269,g_s562_562)
    <=> ! [X_270: $int,X_271: $int] :
          ( ( mem0(X_270,g_s562_562)
            & ! [X_272: $int] :
                ( mem0(X_272,g_s562_562)
               => $lesseq(X_270,X_272) )
            & mem0(X_271,g_s562_562)
            & ! [X_273: $int] :
                ( mem0(X_273,g_s562_562)
               => $greatereq(X_271,X_273) ) )
         => ( $greatereq(X_269,X_270)
            & $lesseq(X_269,X_271) ) ) ) ).

tff('Define:ctx:631',axiom,
    ! [X_274: $int] :
      ( mem0(X_274,g_s561_561)
    <=> mem0(X_274,g_s562_562) ) ).

tff('Define:ctx:632',axiom,
    ! [X_275: $int] :
      ( mem0(X_275,g_s563_563)
     => ( $greatereq(X_275,0)
        & $lesseq(X_275,max_int) ) ) ).

tff('Define:ctx:633',axiom,
    ~ ! [X_276: $int] :
        ( mem0(X_276,g_s563_563)
      <=> $false ) ).

tff('Define:ctx:634',axiom,
    ! [X_277: $int] :
      ( ( X_277 = 0 )
     => mem0(X_277,g_s563_563) ) ).

tff('Define:ctx:635',axiom,
    ! [X_278: $int] :
      ( mem0(X_278,g_s563_563)
    <=> ! [X_279: $int,X_280: $int] :
          ( ( mem0(X_279,g_s563_563)
            & ! [X_281: $int] :
                ( mem0(X_281,g_s563_563)
               => $lesseq(X_279,X_281) )
            & mem0(X_280,g_s563_563)
            & ! [X_282: $int] :
                ( mem0(X_282,g_s563_563)
               => $greatereq(X_280,X_282) ) )
         => ( $greatereq(X_278,X_279)
            & $lesseq(X_278,X_280) ) ) ) ).

tff('Define:ctx:636',axiom,
    ! [X_283: $int] :
      ( mem0(X_283,g_s564_564)
    <=> mem0(X_283,g_s563_563) ) ).

tff('Define:ctx:637',axiom,
    ! [X_284: $int] :
      ( mem0(X_284,g_s565_565)
     => ( $greatereq(X_284,0)
        & $lesseq(X_284,max_int) ) ) ).

tff('Define:ctx:638',axiom,
    ~ ! [X_285: $int] :
        ( mem0(X_285,g_s565_565)
      <=> $false ) ).

tff('Define:ctx:639',axiom,
    ! [X_286: $int] :
      ( mem0(X_286,g_s565_565)
    <=> ! [X_287: $int,X_288: $int] :
          ( ( mem0(X_287,g_s565_565)
            & ! [X_289: $int] :
                ( mem0(X_289,g_s565_565)
               => $lesseq(X_287,X_289) )
            & mem0(X_288,g_s565_565)
            & ! [X_290: $int] :
                ( mem0(X_290,g_s565_565)
               => $greatereq(X_288,X_290) ) )
         => ( $greatereq(X_286,X_287)
            & $lesseq(X_286,X_288) ) ) ) ).

tff('Define:ctx:64',axiom,
    mem0(g_s228_228,g_s195_194) ).

tff('Define:ctx:640',axiom,
    ! [X_291: $int] :
      ( mem0(X_291,g_s566_566)
     => ( $greatereq(X_291,0)
        & $lesseq(X_291,max_int) ) ) ).

tff('Define:ctx:641',axiom,
    ~ ! [X_292: $int] :
        ( mem0(X_292,g_s566_566)
      <=> $false ) ).

tff('Define:ctx:642',axiom,
    ! [X_293: $int] :
      ( mem0(X_293,g_s566_566)
    <=> ! [X_294: $int,X_295: $int] :
          ( ( mem0(X_294,g_s566_566)
            & ! [X_296: $int] :
                ( mem0(X_296,g_s566_566)
               => $lesseq(X_294,X_296) )
            & mem0(X_295,g_s566_566)
            & ! [X_297: $int] :
                ( mem0(X_297,g_s566_566)
               => $greatereq(X_295,X_297) ) )
         => ( $greatereq(X_293,X_294)
            & $lesseq(X_293,X_295) ) ) ) ).

tff('Define:ctx:643',axiom,
    ! [X_298: $int] :
      ( mem0(X_298,g_s565_565)
    <=> mem0(X_298,g_s566_566) ) ).

tff('Define:ctx:644',axiom,
    ! [X_299: $int] :
      ( mem0(X_299,g_s559_559)
    <=> mem0(X_299,g_s560_560) ) ).

tff('Define:ctx:645',axiom,
    ! [X_300: $int] :
      ( mem0(X_300,g_s567_567)
     => ( $greatereq(X_300,0)
        & $lesseq(X_300,max_int) ) ) ).

tff('Define:ctx:646',axiom,
    ~ ! [X_301: $int] :
        ( mem0(X_301,g_s567_567)
      <=> $false ) ).

tff('Define:ctx:647',axiom,
    ! [X_302: $int] :
      ( mem0(X_302,g_s567_567)
    <=> ! [X_303: $int,X_304: $int] :
          ( ( mem0(X_303,g_s567_567)
            & ! [X_305: $int] :
                ( mem0(X_305,g_s567_567)
               => $lesseq(X_303,X_305) )
            & mem0(X_304,g_s567_567)
            & ! [X_306: $int] :
                ( mem0(X_306,g_s567_567)
               => $greatereq(X_304,X_306) ) )
         => ( $greatereq(X_302,X_303)
            & $lesseq(X_302,X_304) ) ) ) ).

tff('Define:ctx:648',axiom,
    ! [X_307: $int] :
      ( mem0(X_307,g_s568_568)
     => ( $greatereq(X_307,0)
        & $lesseq(X_307,max_int) ) ) ).

tff('Define:ctx:649',axiom,
    ~ ! [X_308: $int] :
        ( mem0(X_308,g_s568_568)
      <=> $false ) ).

tff('Define:ctx:65',axiom,
    mem0(g_s229_229,g_s195_194) ).

tff('Define:ctx:650',axiom,
    ! [X_309: $int] :
      ( mem0(X_309,g_s568_568)
    <=> ! [X_310: $int,X_311: $int] :
          ( ( mem0(X_310,g_s567_567)
            & ! [X_312: $int] :
                ( mem0(X_312,g_s567_567)
               => $lesseq(X_310,X_312) )
            & mem0(X_311,g_s567_567)
            & ! [X_313: $int] :
                ( mem0(X_313,g_s567_567)
               => $greatereq(X_311,X_313) ) )
         => ( $greatereq(X_309,X_310)
            & $lesseq(X_309,X_311) ) ) ) ).

tff('Define:ctx:651',axiom,
    ! [X_314: $int] :
      ( mem0(X_314,g_s568_568)
    <=> mem0(X_314,g_s567_567) ) ).

tff('Define:ctx:652',axiom,
    ! [X_315: $int] :
      ( mem0(X_315,g_s569_569)
     => ( $greatereq(X_315,0)
        & $lesseq(X_315,max_int) ) ) ).

tff('Define:ctx:653',axiom,
    ~ ! [X_316: $int] :
        ( mem0(X_316,g_s569_569)
      <=> $false ) ).

tff('Define:ctx:654',axiom,
    ! [X_317: $int] :
      ( mem0(X_317,g_s569_569)
    <=> ! [X_318: $int,X_319: $int] :
          ( ( mem0(X_318,g_s569_569)
            & ! [X_320: $int] :
                ( mem0(X_320,g_s569_569)
               => $lesseq(X_318,X_320) )
            & mem0(X_319,g_s569_569)
            & ! [X_321: $int] :
                ( mem0(X_321,g_s569_569)
               => $greatereq(X_319,X_321) ) )
         => ( $greatereq(X_317,X_318)
            & $lesseq(X_317,X_319) ) ) ) ).

tff('Define:ctx:655',axiom,
    ! [X_322: $int] :
      ( mem0(X_322,g_s570_570)
     => ( $greatereq(X_322,0)
        & $lesseq(X_322,max_int) ) ) ).

tff('Define:ctx:656',axiom,
    ~ ! [X_323: $int] :
        ( mem0(X_323,g_s570_570)
      <=> $false ) ).

tff('Define:ctx:657',axiom,
    ! [X_324: $int] :
      ( mem0(X_324,g_s570_570)
    <=> ! [X_325: $int,X_326: $int] :
          ( ( mem0(X_325,g_s569_569)
            & ! [X_327: $int] :
                ( mem0(X_327,g_s569_569)
               => $lesseq(X_325,X_327) )
            & mem0(X_326,g_s569_569)
            & ! [X_328: $int] :
                ( mem0(X_328,g_s569_569)
               => $greatereq(X_326,X_328) ) )
         => ( $greatereq(X_324,X_325)
            & $lesseq(X_324,X_326) ) ) ) ).

tff('Define:ctx:658',axiom,
    ! [X_329: $int] :
      ( mem0(X_329,g_s570_570)
    <=> mem0(X_329,g_s569_569) ) ).

tff('Define:ctx:659',axiom,
    ! [X_330: $int] :
      ( mem0(X_330,g_s571_571)
     => ( $greatereq(X_330,0)
        & $lesseq(X_330,max_int) ) ) ).

tff('Define:ctx:66',axiom,
    mem0(g_s230_230,g_s195_194) ).

tff('Define:ctx:660',axiom,
    ~ ! [X_331: $int] :
        ( mem0(X_331,g_s571_571)
      <=> $false ) ).

tff('Define:ctx:661',axiom,
    ! [X_332: $int] :
      ( mem0(X_332,g_s571_571)
    <=> ! [X_333: $int,X_334: $int] :
          ( ( mem0(X_333,g_s571_571)
            & ! [X_335: $int] :
                ( mem0(X_335,g_s571_571)
               => $lesseq(X_333,X_335) )
            & mem0(X_334,g_s571_571)
            & ! [X_336: $int] :
                ( mem0(X_336,g_s571_571)
               => $greatereq(X_334,X_336) ) )
         => ( $greatereq(X_332,X_333)
            & $lesseq(X_332,X_334) ) ) ) ).

tff('Define:ctx:662',axiom,
    ! [X_337: $int] :
      ( mem0(X_337,g_s572_572)
     => ( $greatereq(X_337,0)
        & $lesseq(X_337,max_int) ) ) ).

tff('Define:ctx:663',axiom,
    ~ ! [X_338: $int] :
        ( mem0(X_338,g_s572_572)
      <=> $false ) ).

tff('Define:ctx:664',axiom,
    ! [X_339: $int] :
      ( mem0(X_339,g_s572_572)
    <=> ! [X_340: $int,X_341: $int] :
          ( ( mem0(X_340,g_s572_572)
            & ! [X_342: $int] :
                ( mem0(X_342,g_s572_572)
               => $lesseq(X_340,X_342) )
            & mem0(X_341,g_s572_572)
            & ! [X_343: $int] :
                ( mem0(X_343,g_s572_572)
               => $greatereq(X_341,X_343) ) )
         => ( $greatereq(X_339,X_340)
            & $lesseq(X_339,X_341) ) ) ) ).

tff('Define:ctx:665',axiom,
    ! [X_344: $int] :
      ( mem0(X_344,g_s573_573)
     => ( $greatereq(X_344,0)
        & $lesseq(X_344,max_int) ) ) ).

tff('Define:ctx:666',axiom,
    ~ ! [X_345: $int] :
        ( mem0(X_345,g_s573_573)
      <=> $false ) ).

tff('Define:ctx:667',axiom,
    ! [X_346: $int] :
      ( mem0(X_346,g_s573_573)
    <=> ! [X_347: $int,X_348: $int] :
          ( ( mem0(X_347,g_s573_573)
            & ! [X_349: $int] :
                ( mem0(X_349,g_s573_573)
               => $lesseq(X_347,X_349) )
            & mem0(X_348,g_s573_573)
            & ! [X_350: $int] :
                ( mem0(X_350,g_s573_573)
               => $greatereq(X_348,X_350) ) )
         => ( $greatereq(X_346,X_347)
            & $lesseq(X_346,X_348) ) ) ) ).

tff('Define:ctx:668',axiom,
    ! [X_351: $int] :
      ( mem0(X_351,g_s574_574)
     => ( $greatereq(X_351,0)
        & $lesseq(X_351,max_int) ) ) ).

tff('Define:ctx:669',axiom,
    ~ ! [X_352: $int] :
        ( mem0(X_352,g_s574_574)
      <=> $false ) ).

tff('Define:ctx:67',axiom,
    mem0(g_s231_231,g_s195_194) ).

tff('Define:ctx:670',axiom,
    ! [X_353: $int] :
      ( mem0(X_353,g_s574_574)
    <=> ! [X_354: $int,X_355: $int] :
          ( ( mem0(X_354,g_s574_574)
            & ! [X_356: $int] :
                ( mem0(X_356,g_s574_574)
               => $lesseq(X_354,X_356) )
            & mem0(X_355,g_s574_574)
            & ! [X_357: $int] :
                ( mem0(X_357,g_s574_574)
               => $greatereq(X_355,X_357) ) )
         => ( $greatereq(X_353,X_354)
            & $lesseq(X_353,X_355) ) ) ) ).

tff('Define:ctx:671',axiom,
    ! [X_358: $int] :
      ( mem0(X_358,g_s575_575)
     => ( $greatereq(X_358,0)
        & $lesseq(X_358,max_int) ) ) ).

tff('Define:ctx:672',axiom,
    ~ ! [X_359: $int] :
        ( mem0(X_359,g_s575_575)
      <=> $false ) ).

tff('Define:ctx:673',axiom,
    ! [X_360: $int] :
      ( mem0(X_360,g_s575_575)
    <=> ! [X_361: $int,X_362: $int] :
          ( ( mem0(X_361,g_s574_574)
            & ! [X_363: $int] :
                ( mem0(X_363,g_s574_574)
               => $lesseq(X_361,X_363) )
            & mem0(X_362,g_s574_574)
            & ! [X_364: $int] :
                ( mem0(X_364,g_s574_574)
               => $greatereq(X_362,X_364) ) )
         => ( $greatereq(X_360,X_361)
            & $lesseq(X_360,X_362) ) ) ) ).

tff('Define:ctx:674',axiom,
    ! [X_365: $int] :
      ( mem0(X_365,g_s575_575)
    <=> mem0(X_365,g_s574_574) ) ).

tff('Define:ctx:675',axiom,
    ! [X_366: $int] :
      ( mem0(X_366,g_s576_576)
     => ( $greatereq(X_366,0)
        & $lesseq(X_366,max_int) ) ) ).

tff('Define:ctx:676',axiom,
    ~ ! [X_367: $int] :
        ( mem0(X_367,g_s576_576)
      <=> $false ) ).

tff('Define:ctx:677',axiom,
    ! [X_368: $int] :
      ( mem0(X_368,g_s576_576)
    <=> ! [X_369: $int,X_370: $int] :
          ( ( mem0(X_369,g_s576_576)
            & ! [X_371: $int] :
                ( mem0(X_371,g_s576_576)
               => $lesseq(X_369,X_371) )
            & mem0(X_370,g_s576_576)
            & ! [X_372: $int] :
                ( mem0(X_372,g_s576_576)
               => $greatereq(X_370,X_372) ) )
         => ( $greatereq(X_368,X_369)
            & $lesseq(X_368,X_370) ) ) ) ).

tff('Define:ctx:678',axiom,
    ! [X_373: $int] :
      ( mem0(X_373,g_s564_564)
     => ( $greatereq(X_373,0)
        & $lesseq(X_373,max_int) ) ) ).

tff('Define:ctx:679',axiom,
    ~ ! [X_374: $int] :
        ( mem0(X_374,g_s564_564)
      <=> $false ) ).

tff('Define:ctx:68',axiom,
    mem0(g_s232_232,g_s195_194) ).

tff('Define:ctx:680',axiom,
    ! [X_375: $int] :
      ( mem0(X_375,g_s564_564)
    <=> ! [X_376: $int,X_377: $int] :
          ( ( mem0(X_376,g_s564_564)
            & ! [X_378: $int] :
                ( mem0(X_378,g_s564_564)
               => $lesseq(X_376,X_378) )
            & mem0(X_377,g_s564_564)
            & ! [X_379: $int] :
                ( mem0(X_379,g_s564_564)
               => $greatereq(X_377,X_379) ) )
         => ( $greatereq(X_375,X_376)
            & $lesseq(X_375,X_377) ) ) ) ).

tff('Define:ctx:681',axiom,
    ! [X_380: $int] :
      ( mem0(X_380,g_s577_577)
     => ( $greatereq(X_380,0)
        & $lesseq(X_380,max_int) ) ) ).

tff('Define:ctx:682',axiom,
    ~ ! [X_381: $int] :
        ( mem0(X_381,g_s577_577)
      <=> $false ) ).

tff('Define:ctx:683',axiom,
    ! [X_382: $int] :
      ( mem0(X_382,g_s577_577)
    <=> ! [X_383: $int,X_384: $int] :
          ( ( mem0(X_383,g_s577_577)
            & ! [X_385: $int] :
                ( mem0(X_385,g_s577_577)
               => $lesseq(X_383,X_385) )
            & mem0(X_384,g_s577_577)
            & ! [X_386: $int] :
                ( mem0(X_386,g_s577_577)
               => $greatereq(X_384,X_386) ) )
         => ( $greatereq(X_382,X_383)
            & $lesseq(X_382,X_384) ) ) ) ).

tff('Define:ctx:684',axiom,
    ! [X_387: $int] :
      ( mem0(X_387,g_s578_578)
     => ( $greatereq(X_387,0)
        & $lesseq(X_387,max_int) ) ) ).

tff('Define:ctx:685',axiom,
    ~ ! [X_388: $int] :
        ( mem0(X_388,g_s578_578)
      <=> $false ) ).

tff('Define:ctx:686',axiom,
    ! [X_389: $int] :
      ( mem0(X_389,g_s578_578)
    <=> ! [X_390: $int,X_391: $int] :
          ( ( mem0(X_390,g_s578_578)
            & ! [X_392: $int] :
                ( mem0(X_392,g_s578_578)
               => $lesseq(X_390,X_392) )
            & mem0(X_391,g_s578_578)
            & ! [X_393: $int] :
                ( mem0(X_393,g_s578_578)
               => $greatereq(X_391,X_393) ) )
         => ( $greatereq(X_389,X_390)
            & $lesseq(X_389,X_391) ) ) ) ).

tff('Define:ctx:687',axiom,
    ! [X_394: $int] :
      ( mem0(X_394,g_s579_579)
     => ( $greatereq(X_394,0)
        & $lesseq(X_394,max_int) ) ) ).

tff('Define:ctx:688',axiom,
    ~ ! [X_395: $int] :
        ( mem0(X_395,g_s579_579)
      <=> $false ) ).

tff('Define:ctx:689',axiom,
    ! [X_396: $int] :
      ( mem0(X_396,g_s579_579)
    <=> ! [X_397: $int,X_398: $int] :
          ( ( mem0(X_397,g_s579_579)
            & ! [X_399: $int] :
                ( mem0(X_399,g_s579_579)
               => $lesseq(X_397,X_399) )
            & mem0(X_398,g_s579_579)
            & ! [X_400: $int] :
                ( mem0(X_400,g_s579_579)
               => $greatereq(X_398,X_400) ) )
         => ( $greatereq(X_396,X_397)
            & $lesseq(X_396,X_398) ) ) ) ).

tff('Define:ctx:69',axiom,
    mem0(g_s233_233,g_s195_194) ).

tff('Define:ctx:690',axiom,
    ! [X_401: $int] :
      ( mem0(X_401,g_s580_580)
     => ( $greatereq(X_401,0)
        & $lesseq(X_401,max_int) ) ) ).

tff('Define:ctx:691',axiom,
    ~ ! [X_402: $int] :
        ( mem0(X_402,g_s580_580)
      <=> $false ) ).

tff('Define:ctx:692',axiom,
    ! [X_403: $int] :
      ( mem0(X_403,g_s580_580)
    <=> ! [X_404: $int,X_405: $int] :
          ( ( mem0(X_404,g_s580_580)
            & ! [X_406: $int] :
                ( mem0(X_406,g_s580_580)
               => $lesseq(X_404,X_406) )
            & mem0(X_405,g_s580_580)
            & ! [X_407: $int] :
                ( mem0(X_407,g_s580_580)
               => $greatereq(X_405,X_407) ) )
         => ( $greatereq(X_403,X_404)
            & $lesseq(X_403,X_405) ) ) ) ).

tff('Define:ctx:693',axiom,
    ! [X_408: $int] :
      ( mem0(X_408,g_s579_579)
    <=> mem0(X_408,g_s580_580) ) ).

tff('Define:ctx:694',axiom,
    ! [X_409: $int] :
      ( mem0(X_409,g_s581_581)
     => ( $greatereq(X_409,0)
        & $lesseq(X_409,max_int) ) ) ).

tff('Define:ctx:695',axiom,
    ~ ! [X_410: $int] :
        ( mem0(X_410,g_s581_581)
      <=> $false ) ).

tff('Define:ctx:696',axiom,
    ! [X_411: $int] :
      ( mem0(X_411,g_s581_581)
    <=> ! [X_412: $int,X_413: $int] :
          ( ( mem0(X_412,g_s581_581)
            & ! [X_414: $int] :
                ( mem0(X_414,g_s581_581)
               => $lesseq(X_412,X_414) )
            & mem0(X_413,g_s581_581)
            & ! [X_415: $int] :
                ( mem0(X_415,g_s581_581)
               => $greatereq(X_413,X_415) ) )
         => ( $greatereq(X_411,X_412)
            & $lesseq(X_411,X_413) ) ) ) ).

tff('Define:ctx:697',axiom,
    ! [X_416: $int] :
      ( mem0(X_416,g_s582_582)
     => ( $greatereq(X_416,0)
        & $lesseq(X_416,max_int) ) ) ).

tff('Define:ctx:698',axiom,
    ~ ! [X_417: $int] :
        ( mem0(X_417,g_s582_582)
      <=> $false ) ).

tff('Define:ctx:699',axiom,
    ! [X_418: $int] :
      ( mem0(X_418,g_s582_582)
    <=> ! [X_419: $int,X_420: $int] :
          ( ( mem0(X_419,g_s582_582)
            & ! [X_421: $int] :
                ( mem0(X_421,g_s582_582)
               => $lesseq(X_419,X_421) )
            & mem0(X_420,g_s582_582)
            & ! [X_422: $int] :
                ( mem0(X_422,g_s582_582)
               => $greatereq(X_420,X_422) ) )
         => ( $greatereq(X_418,X_419)
            & $lesseq(X_418,X_420) ) ) ) ).

tff('Define:ctx:7',axiom,
    ( ! [X_12: $int] :
        ( mem0(X_12,g_s32_32)
      <=> ( ( X_12 = g_s33_33 )
          | ( X_12 = g_s34_34 )
          | ( X_12 = g_s35_35 ) ) )
    & ( g_s33_33 != g_s34_34 )
    & ( g_s34_34 != g_s35_35 ) ) ).

tff('Define:ctx:70',axiom,
    mem0(g_s234_234,g_s195_194) ).

tff('Define:ctx:700',axiom,
    ! [X_423: $int] :
      ( mem0(X_423,g_s583_583)
     => ( $greatereq(X_423,0)
        & $lesseq(X_423,max_int) ) ) ).

tff('Define:ctx:701',axiom,
    ~ ! [X_424: $int] :
        ( mem0(X_424,g_s583_583)
      <=> $false ) ).

tff('Define:ctx:702',axiom,
    ! [X_425: $int] :
      ( mem0(X_425,g_s583_583)
    <=> ! [X_426: $int,X_427: $int] :
          ( ( mem0(X_426,g_s583_583)
            & ! [X_428: $int] :
                ( mem0(X_428,g_s583_583)
               => $lesseq(X_426,X_428) )
            & mem0(X_427,g_s583_583)
            & ! [X_429: $int] :
                ( mem0(X_429,g_s583_583)
               => $greatereq(X_427,X_429) ) )
         => ( $greatereq(X_425,X_426)
            & $lesseq(X_425,X_427) ) ) ) ).

tff('Define:ctx:703',axiom,
    ! [X_430: $int] :
      ( mem0(X_430,g_s583_583)
    <=> mem0(X_430,g_s582_582) ) ).

tff('Define:ctx:704',axiom,
    ! [X_431: $int] :
      ( mem0(X_431,g_s584_584)
     => ( $greatereq(X_431,0)
        & $lesseq(X_431,max_int) ) ) ).

tff('Define:ctx:705',axiom,
    ~ ! [X_432: $int] :
        ( mem0(X_432,g_s584_584)
      <=> $false ) ).

tff('Define:ctx:706',axiom,
    ! [X_433: $int] :
      ( mem0(X_433,g_s584_584)
    <=> ! [X_434: $int,X_435: $int] :
          ( ( mem0(X_434,g_s584_584)
            & ! [X_436: $int] :
                ( mem0(X_436,g_s584_584)
               => $lesseq(X_434,X_436) )
            & mem0(X_435,g_s584_584)
            & ! [X_437: $int] :
                ( mem0(X_437,g_s584_584)
               => $greatereq(X_435,X_437) ) )
         => ( $greatereq(X_433,X_434)
            & $lesseq(X_433,X_435) ) ) ) ).

tff('Define:ctx:707',axiom,
    ! [X_438: $int] :
      ( mem0(X_438,g_s585_585)
     => ( $greatereq(X_438,0)
        & $lesseq(X_438,max_int) ) ) ).

tff('Define:ctx:708',axiom,
    ~ ! [X_439: $int] :
        ( mem0(X_439,g_s585_585)
      <=> $false ) ).

tff('Define:ctx:709',axiom,
    ! [X_440: $int] :
      ( mem0(X_440,g_s585_585)
    <=> ! [X_441: $int,X_442: $int] :
          ( ( mem0(X_441,g_s585_585)
            & ! [X_443: $int] :
                ( mem0(X_443,g_s585_585)
               => $lesseq(X_441,X_443) )
            & mem0(X_442,g_s585_585)
            & ! [X_444: $int] :
                ( mem0(X_444,g_s585_585)
               => $greatereq(X_442,X_444) ) )
         => ( $greatereq(X_440,X_441)
            & $lesseq(X_440,X_442) ) ) ) ).

tff('Define:ctx:71',axiom,
    mem0(g_s235_235,g_s195_194) ).

tff('Define:ctx:710',axiom,
    ! [X_445: $int] :
      ( mem0(X_445,g_s585_585)
    <=> mem0(X_445,g_s584_584) ) ).

tff('Define:ctx:711',axiom,
    mem0(g_s586_586,g_s129_129) ).

tff('Define:ctx:712',axiom,
    ~ mem0(g_s586_586,g_s534_534) ).

tff('Define:ctx:713',axiom,
    mem0(g_s587_587,g_s131_131) ).

tff('Define:ctx:714',axiom,
    ~ mem0(g_s587_587,g_s543_543) ).

tff('Define:ctx:715',axiom,
    mem0(g_s588_588,g_s544_544) ).

tff('Define:ctx:716',axiom,
    ~ mem0(g_s588_588,g_s545_545) ).

tff('Define:ctx:717',axiom,
    mem0(g_s589_589,g_s132_132) ).

tff('Define:ctx:718',axiom,
    ~ mem0(g_s589_589,g_s546_546) ).

tff('Define:ctx:719',axiom,
    mem0(g_s590_590,g_s532_532) ).

tff('Define:ctx:72',axiom,
    mem0(g_s236_236,g_s195_194) ).

tff('Define:ctx:720',axiom,
    ~ mem0(g_s590_590,g_s547_547) ).

tff('Define:ctx:721',axiom,
    g_s589_589 = g_s590_590 ).

tff('Define:ctx:722',axiom,
    ! [X_446: $int] :
      ( mem0(X_446,g_s546_546)
    <=> mem0(X_446,g_s547_547) ) ).

tff('Define:ctx:723',axiom,
    ! [X_447: $int] :
      ( mem0(X_447,g_s132_132)
    <=> mem0(X_447,g_s532_532) ) ).

tff('Define:ctx:724',axiom,
    mem0(g_s591_591,g_s129_129) ).

tff('Define:ctx:725',axiom,
    mem0(g_s591_591,g_s534_534) ).

tff('Define:ctx:726',axiom,
    mem0(g_s592_592,g_s130_130) ).

tff('Define:ctx:727',axiom,
    mem0(g_s592_592,g_s539_539) ).

tff('Define:ctx:728',axiom,
    mem0(g_s593_593,g_s129_129) ).

tff('Define:ctx:729',axiom,
    mem0(g_s593_593,g_s534_534) ).

tff('Define:ctx:73',axiom,
    mem0(g_s237_237,g_s195_194) ).

tff('Define:ctx:730',axiom,
    mem0(g_s594_594,g_s535_535) ).

tff('Define:ctx:731',axiom,
    g_s594_594 = g_s591_591 ).

tff('Define:ctx:732',axiom,
    mem0(g_s595_595,g_s540_540) ).

tff('Define:ctx:733',axiom,
    g_s595_595 = g_s592_592 ).

tff('Define:ctx:734',axiom,
    mem0(g_s596_596,g_s577_577) ).

tff('Define:ctx:735',axiom,
    mem0(g_s597_597,g_s578_578) ).

tff('Define:ctx:736',axiom,
    ! [X_448: $int] :
      ( mem0(X_448,g_s577_577)
    <=> mem0(X_448,g_s578_578) ) ).

tff('Define:ctx:737',axiom,
    g_s597_597 = g_s596_596 ).

tff('Define:ctx:738',axiom,
    mem0(g_s598_598,g_s579_579) ).

tff('Define:ctx:739',axiom,
    mem0(g_s599_599,g_s580_580) ).

tff('Define:ctx:74',axiom,
    mem0(g_s238_238,g_s195_194) ).

tff('Define:ctx:740',axiom,
    g_s599_599 = g_s598_598 ).

tff('Define:ctx:741',axiom,
    mem0(g_s600_600,g_s131_131) ).

tff('Define:ctx:742',axiom,
    mem0(g_s600_600,g_s543_543) ).

tff('Define:ctx:743',axiom,
    mem0(g_s601_601,g_s544_544) ).

tff('Define:ctx:744',axiom,
    mem0(g_s601_601,g_s545_545) ).

tff('Define:ctx:745',axiom,
    g_s601_601 = g_s600_600 ).

tff('Define:ctx:746',axiom,
    mem0(g_s602_602,g_s132_132) ).

tff('Define:ctx:747',axiom,
    mem0(g_s602_602,g_s546_546) ).

tff('Define:ctx:748',axiom,
    mem0(g_s603_603,g_s551_551) ).

tff('Define:ctx:749',axiom,
    mem0(g_s604_604,g_s552_552) ).

tff('Define:ctx:75',axiom,
    mem0(g_s239_239,g_s195_194) ).

tff('Define:ctx:750',axiom,
    mem0(g_s605_605,g_s552_552) ).

tff('Define:ctx:751',axiom,
    g_s605_605 = 1 ).

tff('Define:ctx:752',axiom,
    mem0(g_s606_606,g_s553_553) ).

tff('Define:ctx:753',axiom,
    mem0(g_s607_607,g_s554_554) ).

tff('Define:ctx:754',axiom,
    mem0(g_s608_608,g_s556_556) ).

tff('Define:ctx:755',axiom,
    mem0(g_s609_609,g_s557_557) ).

tff('Define:ctx:756',axiom,
    mem0(g_s610_610,g_s558_558) ).

tff('Define:ctx:757',axiom,
    mem0(g_s611_611,g_s560_560) ).

tff('Define:ctx:758',axiom,
    mem0(g_s612_612,g_s559_559) ).

tff('Define:ctx:759',axiom,
    g_s611_611 = g_s612_612 ).

tff('Define:ctx:76',axiom,
    mem0(g_s240_240,g_s195_194) ).

tff('Define:ctx:760',axiom,
    mem0(g_s613_613,g_s566_566) ).

tff('Define:ctx:761',axiom,
    mem0(g_s614_614,g_s565_565) ).

tff('Define:ctx:762',axiom,
    g_s613_613 = g_s614_614 ).

tff('Define:ctx:763',axiom,
    mem0(g_s615_615,g_s562_562) ).

tff('Define:ctx:764',axiom,
    mem0(g_s616_616,g_s561_561) ).

tff('Define:ctx:765',axiom,
    g_s615_615 = g_s616_616 ).

tff('Define:ctx:766',axiom,
    mem0(g_s617_617,g_s567_567) ).

tff('Define:ctx:767',axiom,
    mem0(g_s618_618,g_s568_568) ).

tff('Define:ctx:768',axiom,
    g_s618_618 = g_s617_617 ).

tff('Define:ctx:769',axiom,
    mem0(g_s619_619,g_s569_569) ).

tff('Define:ctx:77',axiom,
    mem0(g_s241_241,g_s195_194) ).

tff('Define:ctx:770',axiom,
    mem0(g_s620_620,g_s570_570) ).

tff('Define:ctx:771',axiom,
    g_s620_620 = g_s619_619 ).

tff('Define:ctx:772',axiom,
    mem0(g_s621_621,g_s564_564) ).

tff('Define:ctx:773',axiom,
    mem0(g_s622_622,g_s563_563) ).

tff('Define:ctx:774',axiom,
    g_s622_622 = g_s621_621 ).

tff('Define:ctx:775',axiom,
    mem0(g_s623_623,g_s571_571) ).

tff('Define:ctx:776',axiom,
    mem0(g_s624_624,g_s576_576) ).

tff('Define:ctx:777',axiom,
    mem0(g_s625_625,g_s572_572) ).

tff('Define:ctx:778',axiom,
    mem0(g_s626_626,g_s573_573) ).

tff('Define:ctx:779',axiom,
    mem0(g_s627_627,g_s574_574) ).

tff('Define:ctx:78',axiom,
    mem0(g_s242_242,g_s195_194) ).

tff('Define:ctx:780',axiom,
    mem0(g_s628_628,g_s581_581) ).

tff('Define:ctx:781',axiom,
    mem0(g_s629_629,g_s582_582) ).

tff('Define:ctx:782',axiom,
    mem0(g_s630_630,g_s583_583) ).

tff('Define:ctx:783',axiom,
    mem0(g_s631_631,g_s584_584) ).

tff('Define:ctx:784',axiom,
    mem0(g_s632_632,g_s585_585) ).

tff('Define:ctx:785',axiom,
    ! [X_449: $int] :
      ( mem0(X_449,g_s633_633)
     => ( $greatereq(X_449,0)
        & $lesseq(X_449,max_int) ) ) ).

tff('Define:ctx:786',axiom,
    ~ ! [X_450: $int] :
        ( mem0(X_450,g_s633_633)
      <=> $false ) ).

tff('Define:ctx:787',axiom,
    ! [X_451: $int] :
      ( mem0(X_451,g_s633_633)
    <=> ! [X_452: $int,X_453: $int] :
          ( ( mem0(X_452,g_s633_633)
            & ! [X_454: $int] :
                ( mem0(X_454,g_s633_633)
               => $lesseq(X_452,X_454) )
            & mem0(X_453,g_s633_633)
            & ! [X_455: $int] :
                ( mem0(X_455,g_s633_633)
               => $greatereq(X_453,X_455) ) )
         => ( $greatereq(X_451,X_452)
            & $lesseq(X_451,X_453) ) ) ) ).

tff('Define:ctx:788',axiom,
    mem0(g_s634_634,g_s633_633) ).

tff('Define:ctx:789',axiom,
    ! [X_456: $int] :
      ( mem0(X_456,g_s635_635)
     => ( $greatereq(X_456,0)
        & $lesseq(X_456,max_int) ) ) ).

tff('Define:ctx:79',axiom,
    mem0(g_s243_243,g_s195_194) ).

tff('Define:ctx:790',axiom,
    ~ ! [X_457: $int] :
        ( mem0(X_457,g_s635_635)
      <=> $false ) ).

tff('Define:ctx:791',axiom,
    ! [X_458: $int] :
      ( mem0(X_458,g_s635_635)
    <=> ! [X_459: $int,X_460: $int] :
          ( ( mem0(X_459,g_s635_635)
            & ! [X_461: $int] :
                ( mem0(X_461,g_s635_635)
               => $lesseq(X_459,X_461) )
            & mem0(X_460,g_s635_635)
            & ! [X_462: $int] :
                ( mem0(X_462,g_s635_635)
               => $greatereq(X_460,X_462) ) )
         => ( $greatereq(X_458,X_459)
            & $lesseq(X_458,X_460) ) ) ) ).

tff('Define:ctx:792',axiom,
    mem0(g_s636_636,g_s635_635) ).

tff('Define:ctx:793',axiom,
    mem0(g_s637_637,g_s633_633) ).

tff('Define:ctx:794',axiom,
    g_s637_637 = 1 ).

tff('Define:ctx:795',axiom,
    ! [X_463: $int] :
      ( mem0(X_463,g_s638_638)
    <=> ( $greatereq(X_463,0)
        & $lesseq(X_463,max_int) ) ) ).

tff('Define:ctx:796',axiom,
    mem0(g_s639_639,g_s638_638) ).

tff('Define:ctx:797',axiom,
    ! [X_464: $int] :
      ( mem0(X_464,g_s640_640)
     => ( $greatereq(X_464,0)
        & $lesseq(X_464,max_int) ) ) ).

tff('Define:ctx:798',axiom,
    ! [X_465: $int] :
      ( mem0(X_465,g_s640_640)
    <=> ! [X_466: $int,X_467: $int] :
          ( ( mem0(X_466,g_s640_640)
            & ! [X_468: $int] :
                ( mem0(X_468,g_s640_640)
               => $lesseq(X_466,X_468) )
            & mem0(X_467,g_s640_640)
            & ! [X_469: $int] :
                ( mem0(X_469,g_s640_640)
               => $greatereq(X_467,X_469) ) )
         => ( $greatereq(X_465,X_466)
            & $lesseq(X_465,X_467) ) ) ) ).

tff('Define:ctx:799',axiom,
    ~ ! [X_470: $int] :
        ( mem0(X_470,g_s640_640)
      <=> $false ) ).

tff('Define:ctx:8',axiom,
    ( ! [X_13: $int] :
        ( mem0(X_13,g_s36_36)
      <=> ( ( X_13 = g_s37_37 )
          | ( X_13 = g_s38_38 ) ) )
    & ( g_s37_37 != g_s38_38 ) ) ).

tff('Define:ctx:80',axiom,
    mem0(g_s244_244,g_s195_194) ).

tff('Define:ctx:800',axiom,
    ! [X_471: $int] :
      ( ( X_471 = 0 )
     => mem0(X_471,g_s640_640) ) ).

tff('Define:ctx:801',axiom,
    ! [X_472: $int] :
      ( ( X_472 = 1 )
     => mem0(X_472,g_s640_640) ) ).

tff('Define:ctx:802',axiom,
    ! [X_473: $int] :
      ( ( X_473 = 2 )
     => mem0(X_473,g_s640_640) ) ).

tff('Define:ctx:803',axiom,
    ! [X_474: $int] :
      ( ( X_474 = 3 )
     => mem0(X_474,g_s640_640) ) ).

tff('Define:ctx:804',axiom,
    ! [X_475: $int] :
      ( ( X_475 = 4 )
     => mem0(X_475,g_s640_640) ) ).

tff('Define:ctx:805',axiom,
    ! [X_476: $int] :
      ( ( X_476 = 5 )
     => mem0(X_476,g_s640_640) ) ).

tff('Define:ctx:806',axiom,
    ! [X_477: $int] :
      ( ( X_477 = 6 )
     => mem0(X_477,g_s640_640) ) ).

tff('Define:ctx:807',axiom,
    ! [X_478: $int] :
      ( ( X_478 = 7 )
     => mem0(X_478,g_s640_640) ) ).

tff('Define:ctx:808',axiom,
    ! [X_479: $int] :
      ( ( X_479 = 8 )
     => mem0(X_479,g_s640_640) ) ).

tff('Define:ctx:809',axiom,
    ! [X_480: $int] :
      ( ( X_480 = 9 )
     => mem0(X_480,g_s640_640) ) ).

tff('Define:ctx:81',axiom,
    mem0(g_s245_245,g_s195_194) ).

tff('Define:ctx:810',axiom,
    ! [X_481: $int] :
      ( ( X_481 = 10 )
     => mem0(X_481,g_s640_640) ) ).

tff('Define:ctx:811',axiom,
    ! [X_482: $int] :
      ( ( X_482 = 11 )
     => mem0(X_482,g_s640_640) ) ).

tff('Define:ctx:812',axiom,
    ! [X_483: $int] :
      ( ( X_483 = 12 )
     => mem0(X_483,g_s640_640) ) ).

tff('Define:ctx:813',axiom,
    ! [X_484: $int] :
      ( ( X_484 = 13 )
     => mem0(X_484,g_s640_640) ) ).

tff('Define:ctx:814',axiom,
    ! [X_485: $int] :
      ( ( X_485 = 14 )
     => mem0(X_485,g_s640_640) ) ).

tff('Define:ctx:815',axiom,
    ! [X_486: $int] :
      ( ( X_486 = 15 )
     => mem0(X_486,g_s640_640) ) ).

tff('Define:ctx:816',axiom,
    ! [X_487: $int] :
      ( ( X_487 = 16 )
     => mem0(X_487,g_s640_640) ) ).

tff('Define:ctx:817',axiom,
    ( $greatereq(g_s641_641,0)
    & $lesseq(g_s641_641,max_int) ) ).

tff('Define:ctx:818',axiom,
    g_s641_641 = 32 ).

tff('Define:ctx:819',axiom,
    ( $greatereq(g_s642_642,0)
    & $lesseq(g_s642_642,max_int) ) ).

tff('Define:ctx:82',axiom,
    mem0(g_s246_246,g_s195_194) ).

tff('Define:ctx:820',axiom,
    g_s642_642 = 226 ).

tff('Define:ctx:821',axiom,
    ( $greatereq(g_s643_643,0)
    & $lesseq(g_s643_643,max_int) ) ).

tff('Define:ctx:822',axiom,
    g_s643_643 = 16 ).

tff('Define:ctx:823',axiom,
    ! [X_488: $int] :
      ( mem0(X_488,g_s644_644)
     => ( $greatereq(X_488,0)
        & $lesseq(X_488,max_int) ) ) ).

tff('Define:ctx:824',axiom,
    ~ ! [X_489: $int] :
        ( mem0(X_489,g_s644_644)
      <=> $false ) ).

tff('Define:ctx:825',axiom,
    ! [X_490: $int] :
      ( mem0(X_490,g_s644_644)
    <=> ( $greatereq(X_490,1)
        & $lesseq(X_490,g_s641_641) ) ) ).

tff('Define:ctx:826',axiom,
    ! [X_491: $int] :
      ( mem0(X_491,g_s645_645)
     => ( $greatereq(X_491,0)
        & $lesseq(X_491,max_int) ) ) ).

tff('Define:ctx:827',axiom,
    ! [X_492: $int] :
      ( mem0(X_492,g_s645_645)
    <=> ( $greatereq(X_492,1)
        & $lesseq(X_492,g_s641_641) ) ) ).

tff('Define:ctx:828',axiom,
    ! [X_493: $int] :
      ( mem0(X_493,g_s646_646)
     => ( $greatereq(X_493,0)
        & $lesseq(X_493,max_int) ) ) ).

tff('Define:ctx:829',axiom,
    ! [X_494: $int] :
      ( mem0(X_494,g_s646_646)
    <=> ( $greatereq(X_494,1)
        & $lesseq(X_494,g_s642_642) ) ) ).

tff('Define:ctx:83',axiom,
    mem0(g_s247_247,g_s195_194) ).

tff('Define:ctx:830',axiom,
    ( $greatereq(g_s647_647,0)
    & $lesseq(g_s647_647,max_int) ) ).

tff('Define:ctx:831',axiom,
    g_s647_647 = 8 ).

tff('Define:ctx:832',axiom,
    ! [X_495: $int] :
      ( mem0(X_495,g_s648_648)
     => ( $greatereq(X_495,0)
        & $lesseq(X_495,max_int) ) ) ).

tff('Define:ctx:833',axiom,
    ! [X_496: $int] :
      ( mem0(X_496,g_s648_648)
    <=> ( $greatereq(X_496,0)
        & $lesseq(X_496,g_s647_647) ) ) ).

tff('Define:ctx:834',axiom,
    ! [X_497: $int] :
      ( mem0(X_497,g_s649_649)
     => mem0(X_497,g_s648_648) ) ).

tff('Define:ctx:835',axiom,
    ! [X_498: $int] :
      ( mem0(X_498,g_s649_649)
    <=> ( $greatereq(X_498,1)
        & $lesseq(X_498,g_s647_647) ) ) ).

tff('Define:ctx:836',axiom,
    mem0(g_s650_650,g_s648_648) ).

tff('Define:ctx:837',axiom,
    ~ mem0(g_s650_650,g_s649_649) ).

tff('Define:ctx:838',axiom,
    g_s650_650 = 0 ).

tff('Define:ctx:839',axiom,
    mem0(g_s651_651,g_s640_640) ).

tff('Define:ctx:84',axiom,
    mem0(g_s248_248,g_s195_194) ).

tff('Define:ctx:840',axiom,
    ! [X_499: $int] :
      ( mem0(X_499,g_s652_652)
     => ( $greatereq(X_499,0)
        & $lesseq(X_499,max_int) ) ) ).

tff('Define:ctx:841',axiom,
    ! [X_500: $int] :
      ( mem0(X_500,g_s652_652)
    <=> ! [X_501: $int,X_502: $int] :
          ( ( mem0(X_501,g_s652_652)
            & ! [X_503: $int] :
                ( mem0(X_503,g_s652_652)
               => $lesseq(X_501,X_503) )
            & mem0(X_502,g_s652_652)
            & ! [X_504: $int] :
                ( mem0(X_504,g_s652_652)
               => $greatereq(X_502,X_504) ) )
         => ( $greatereq(X_500,X_501)
            & $lesseq(X_500,X_502) ) ) ) ).

tff('Define:ctx:842',axiom,
    ~ ! [X_505: $int] :
        ( mem0(X_505,g_s652_652)
      <=> $false ) ).

tff('Define:ctx:843',axiom,
    ! [X_506: $int] :
      ( mem0(X_506,g_s653_653)
    <=> mem0(X_506,g_s652_652) ) ).

tff('Define:ctx:844',axiom,
    mem0(g_s270_270,g_s652_652) ).

tff('Define:ctx:845',axiom,
    ! [X_507: $int] :
      ( ( X_507 = 0 )
     => mem0(X_507,g_s652_652) ) ).

tff('Define:ctx:846',axiom,
    ! [X_508: $int] :
      ( ( X_508 = 1 )
     => mem0(X_508,g_s652_652) ) ).

tff('Define:ctx:847',axiom,
    ! [X_509: $int] :
      ( ( X_509 = 2 )
     => mem0(X_509,g_s652_652) ) ).

tff('Define:ctx:848',axiom,
    ! [X_510: $int] :
      ( ( X_510 = 3 )
     => mem0(X_510,g_s652_652) ) ).

tff('Define:ctx:849',axiom,
    ! [X_511: $int] :
      ( ( X_511 = 4 )
     => mem0(X_511,g_s652_652) ) ).

tff('Define:ctx:85',axiom,
    mem0(g_s249_249,g_s195_194) ).

tff('Define:ctx:850',axiom,
    ! [X_512: $int] :
      ( ( X_512 = 5 )
     => mem0(X_512,g_s652_652) ) ).

tff('Define:ctx:851',axiom,
    ! [X_513: $int] :
      ( ( X_513 = 6 )
     => mem0(X_513,g_s652_652) ) ).

tff('Define:ctx:852',axiom,
    ! [X_514: $int] :
      ( ( X_514 = 7 )
     => mem0(X_514,g_s652_652) ) ).

tff('Define:ctx:853',axiom,
    ! [X_515: $int] :
      ( ( X_515 = 8 )
     => mem0(X_515,g_s652_652) ) ).

tff('Define:ctx:854',axiom,
    ! [X_516: $int] :
      ( ( X_516 = 9 )
     => mem0(X_516,g_s652_652) ) ).

tff('Define:ctx:855',axiom,
    ! [X_517: $int] :
      ( ( X_517 = 10 )
     => mem0(X_517,g_s652_652) ) ).

tff('Define:ctx:856',axiom,
    ! [X_518: $int] :
      ( ( X_518 = 11 )
     => mem0(X_518,g_s652_652) ) ).

tff('Define:ctx:857',axiom,
    ! [X_519: $int] :
      ( ( X_519 = 12 )
     => mem0(X_519,g_s652_652) ) ).

tff('Define:ctx:858',axiom,
    ! [X_520: $int] :
      ( ( X_520 = 13 )
     => mem0(X_520,g_s652_652) ) ).

tff('Define:ctx:859',axiom,
    ! [X_521: $int] :
      ( ( X_521 = 14 )
     => mem0(X_521,g_s652_652) ) ).

tff('Define:ctx:86',axiom,
    mem0(g_s250_250,g_s195_194) ).

tff('Define:ctx:860',axiom,
    ! [X_522: $int] :
      ( ( X_522 = 15 )
     => mem0(X_522,g_s652_652) ) ).

tff('Define:ctx:861',axiom,
    ! [X_523: $int] :
      ( ( X_523 = 16 )
     => mem0(X_523,g_s652_652) ) ).

tff('Define:ctx:862',axiom,
    mem0(g_s654_654,g_s652_652) ).

tff('Define:ctx:863',axiom,
    ! [X_524: $int] :
      ( mem0(X_524,g_s655_655)
    <=> ( $greatereq(X_524,0)
        & $lesseq(X_524,max_int) ) ) ).

tff('Define:ctx:864',axiom,
    ! [X_525: $int] :
      ( mem0(X_525,g_s656_656)
     => ( $greatereq(X_525,0)
        & $lesseq(X_525,max_int) ) ) ).

tff('Define:ctx:865',axiom,
    ~ ! [X_526: $int] :
        ( mem0(X_526,g_s656_656)
      <=> $false ) ).

tff('Define:ctx:866',axiom,
    ! [X_527: $int] :
      ( mem0(X_527,g_s656_656)
    <=> ( $greatereq(X_527,1)
        & $lesseq(X_527,divB(g_s643_643,2)) ) ) ).

tff('Define:ctx:867',axiom,
    ! [X_528: $int] :
      ( mem0(X_528,g_s657_657)
     => ( $greatereq(X_528,0)
        & $lesseq(X_528,max_int) ) ) ).

tff('Define:ctx:868',axiom,
    ! [X_529: $int] :
      ( mem0(X_529,g_s657_657)
    <=> ! [X_530: $int,X_531: $int] :
          ( ( mem0(X_530,g_s652_652)
            & ! [X_532: $int] :
                ( mem0(X_532,g_s652_652)
               => $lesseq(X_530,X_532) )
            & mem0(X_531,g_s652_652)
            & ! [X_533: $int] :
                ( mem0(X_533,g_s652_652)
               => $greatereq(X_531,X_533) ) )
         => ( $greatereq(X_529,X_530)
            & $lesseq(X_529,X_531) ) ) ) ).

tff('Define:ctx:869',axiom,
    ~ ! [X_534: $int] :
        ( mem0(X_534,g_s657_657)
      <=> $false ) ).

tff('Define:ctx:87',axiom,
    mem0(g_s251_251,g_s195_194) ).

tff('Define:ctx:870',axiom,
    ! [X_535: $int] :
      ( mem0(X_535,g_s658_658)
    <=> ( $greatereq(X_535,0)
        & $lesseq(X_535,max_int) ) ) ).

tff('Define:ctx:871',axiom,
    ! [X_536: $int] :
      ( mem0(X_536,g_s659_659)
     => ( $greatereq(X_536,0)
        & $lesseq(X_536,max_int) ) ) ).

tff('Define:ctx:872',axiom,
    ! [X_537: $int] :
      ( mem0(X_537,g_s659_659)
    <=> ! [X_538: $int,X_539: $int] :
          ( ( mem0(X_538,g_s659_659)
            & ! [X_540: $int] :
                ( mem0(X_540,g_s659_659)
               => $lesseq(X_538,X_540) )
            & mem0(X_539,g_s659_659)
            & ! [X_541: $int] :
                ( mem0(X_541,g_s659_659)
               => $greatereq(X_539,X_541) ) )
         => ( $greatereq(X_537,X_538)
            & $lesseq(X_537,X_539) ) ) ) ).

tff('Define:ctx:873',axiom,
    ~ ! [X_542: $int] :
        ( mem0(X_542,g_s659_659)
      <=> $false ) ).

tff('Define:ctx:874',axiom,
    mem0(g_s660_660,g_s659_659) ).

tff('Define:ctx:875',axiom,
    ! [X_543: $int] :
      ( mem0(X_543,g_s661_661)
     => ( $greatereq(X_543,0)
        & $lesseq(X_543,max_int) ) ) ).

tff('Define:ctx:876',axiom,
    ! [X_544: $int] :
      ( mem0(X_544,g_s661_661)
     => ( ( X_544 = 1 )
        | ( X_544 = 2 ) ) ) ).

tff('Define:ctx:877',axiom,
    ~ ! [X_545: $int] :
        ( mem0(X_545,g_s661_661)
      <=> $false ) ).

tff('Define:ctx:878',axiom,
    mem0(g_s662_662,g_s661_661) ).

tff('Define:ctx:879',axiom,
    ! [X_546: $int] :
      ( mem0(X_546,g_s663_663)
     => ( $greatereq(X_546,0)
        & $lesseq(X_546,max_int) ) ) ).

tff('Define:ctx:88',axiom,
    mem0(g_s252_252,g_s195_194) ).

tff('Define:ctx:880',axiom,
    ! [X_547: $int] :
      ( mem0(X_547,g_s663_663)
    <=> ! [X_548: $int,X_549: $int] :
          ( ( mem0(X_548,g_s663_663)
            & ! [X_550: $int] :
                ( mem0(X_550,g_s663_663)
               => $lesseq(X_548,X_550) )
            & mem0(X_549,g_s663_663)
            & ! [X_551: $int] :
                ( mem0(X_551,g_s663_663)
               => $greatereq(X_549,X_551) ) )
         => ( $greatereq(X_547,X_548)
            & $lesseq(X_547,X_549) ) ) ) ).

tff('Define:ctx:881',axiom,
    ~ ! [X_552: $int] :
        ( mem0(X_552,g_s663_663)
      <=> $false ) ).

tff('Define:ctx:882',axiom,
    mem0(g_s664_664,g_s663_663) ).

tff('Define:ctx:883',axiom,
    ! [X_553: $int] :
      ( mem0(X_553,g_s665_665)
     => ( $greatereq(X_553,0)
        & $lesseq(X_553,max_int) ) ) ).

tff('Define:ctx:884',axiom,
    ! [X_554: $int] :
      ( mem0(X_554,g_s665_665)
    <=> ! [X_555: $int,X_556: $int] :
          ( ( mem0(X_555,g_s665_665)
            & ! [X_557: $int] :
                ( mem0(X_557,g_s665_665)
               => $lesseq(X_555,X_557) )
            & mem0(X_556,g_s665_665)
            & ! [X_558: $int] :
                ( mem0(X_558,g_s665_665)
               => $greatereq(X_556,X_558) ) )
         => ( $greatereq(X_554,X_555)
            & $lesseq(X_554,X_556) ) ) ) ).

tff('Define:ctx:885',axiom,
    ~ ! [X_559: $int] :
        ( mem0(X_559,g_s665_665)
      <=> $false ) ).

tff('Define:ctx:886',axiom,
    mem0(g_s666_666,g_s665_665) ).

tff('Define:ctx:887',axiom,
    ! [X_560: $int] :
      ( mem0(X_560,g_s667_667)
    <=> ( $greatereq(X_560,min_int)
        & $lesseq(X_560,max_int) ) ) ).

tff('Define:ctx:888',axiom,
    ! [X_561: $int] :
      ( mem0(X_561,g_s668_668)
     => ( $greatereq(X_561,0)
        & $lesseq(X_561,max_int) ) ) ).

tff('Define:ctx:889',axiom,
    ~ ! [X_562: $int] :
        ( mem0(X_562,g_s668_668)
      <=> $false ) ).

tff('Define:ctx:89',axiom,
    mem0(g_s253_253,g_s195_194) ).

tff('Define:ctx:890',axiom,
    ! [X_563: $int] :
      ( ( X_563 = 0 )
     => mem0(X_563,g_s668_668) ) ).

tff('Define:ctx:891',axiom,
    ! [X_564: $int] :
      ( mem0(X_564,g_s668_668)
    <=> ! [X_565: $int,X_566: $int] :
          ( ( mem0(X_565,g_s668_668)
            & ! [X_567: $int] :
                ( mem0(X_567,g_s668_668)
               => $lesseq(X_565,X_567) )
            & mem0(X_566,g_s668_668)
            & ! [X_568: $int] :
                ( mem0(X_568,g_s668_668)
               => $greatereq(X_566,X_568) ) )
         => ( $greatereq(X_564,X_565)
            & $lesseq(X_564,X_566) ) ) ) ).

tff('Define:ctx:892',axiom,
    ! [X_569: $int] :
      ( mem0(X_569,g_s669_669)
     => ( $greatereq(X_569,0)
        & $lesseq(X_569,max_int) ) ) ).

tff('Define:ctx:893',axiom,
    ~ ! [X_570: $int] :
        ( mem0(X_570,g_s669_669)
      <=> $false ) ).

tff('Define:ctx:894',axiom,
    ! [X_571: $int] :
      ( mem0(X_571,g_s669_669)
    <=> ! [X_572: $int,X_573: $int] :
          ( ( mem0(X_572,g_s669_669)
            & ! [X_574: $int] :
                ( mem0(X_574,g_s669_669)
               => $lesseq(X_572,X_574) )
            & mem0(X_573,g_s669_669)
            & ! [X_575: $int] :
                ( mem0(X_575,g_s669_669)
               => $greatereq(X_573,X_575) ) )
         => ( $greatereq(X_571,X_572)
            & $lesseq(X_571,X_573) ) ) ) ).

tff('Define:ctx:895',axiom,
    mem0(g_s670_670,g_s304_304) ).

tff('Define:ctx:896',axiom,
    g_s670_670 = g_s198_198 ).

tff('Define:ctx:897',axiom,
    mem0(g_s671_671,g_s304_304) ).

tff('Define:ctx:898',axiom,
    ( mem0(g_s671_671,g_s304_304)
    & ! [X_576: $int] :
        ( mem0(X_576,g_s304_304)
       => $greatereq(g_s671_671,X_576) ) ) ).

tff('Define:ctx:899',axiom,
    mem0(g_s672_672,g_s304_304) ).

tff('Define:ctx:9',axiom,
    ( ! [X_14: $int] :
        ( mem0(X_14,g_s39_39)
      <=> ( ( X_14 = g_s40_40 )
          | ( X_14 = g_s41_41 )
          | ( X_14 = g_s42_42 ) ) )
    & ( g_s40_40 != g_s41_41 )
    & ( g_s41_41 != g_s42_42 ) ) ).

tff('Define:ctx:90',axiom,
    mem0(g_s254_254,g_s195_194) ).

tff('Define:ctx:900',axiom,
    ( mem0(g_s672_672,g_s304_304)
    & ! [X_577: $int] :
        ( mem0(X_577,g_s304_304)
       => $greatereq(g_s672_672,X_577) ) ) ).

tff('Define:ctx:901',axiom,
    mem0(g_s673_673,g_s305_305) ).

tff('Define:ctx:902',axiom,
    ( mem0(g_s673_673,g_s305_305)
    & ! [X_578: $int] :
        ( mem0(X_578,g_s305_305)
       => $greatereq(g_s673_673,X_578) ) ) ).

tff('Define:ctx:903',axiom,
    mem0(g_s592_592,g_s130_130) ).

tff('Define:ctx:904',axiom,
    mem0(g_s592_592,g_s539_539) ).

tff('Define:ctx:905',axiom,
    mem0(g_s674_674,g_s305_305) ).

tff('Define:ctx:906',axiom,
    ( mem0(g_s674_674,g_s305_305)
    & ! [X_579: $int] :
        ( mem0(X_579,g_s305_305)
       => $greatereq(g_s674_674,X_579) ) ) ).

tff('Define:ctx:907',axiom,
    mem0(g_s675_675,g_s305_305) ).

tff('Define:ctx:908',axiom,
    ( mem0(g_s675_675,g_s305_305)
    & ! [X_580: $int] :
        ( mem0(X_580,g_s305_305)
       => $greatereq(g_s675_675,X_580) ) ) ).

tff('Define:ctx:909',axiom,
    ( $greatereq(g_s676_676,min_int)
    & $lesseq(g_s676_676,max_int) ) ).

tff('Define:ctx:91',axiom,
    mem0(g_s255_255,g_s195_194) ).

tff('Define:ctx:910',axiom,
    g_s676_676 = min_int ).

tff('Define:ctx:911',axiom,
    mem0(g_s677_677,g_s130_130) ).

tff('Define:ctx:912',axiom,
    mem0(g_s677_677,g_s539_539) ).

tff('Define:ctx:913',axiom,
    mem0(g_s678_678,g_s281_280) ).

tff('Define:ctx:914',axiom,
    mem0(g_s679_679,g_s281_280) ).

tff('Define:ctx:915',axiom,
    mem0(g_s680_680,g_s281_280) ).

tff('Define:ctx:916',axiom,
    mem0(g_s681_681,g_s281_280) ).

tff('Define:ctx:917',axiom,
    mem0(g_s682_682,g_s281_280) ).

tff('Define:ctx:918',axiom,
    mem0(g_s683_683,g_s281_280) ).

tff('Define:ctx:919',axiom,
    mem0(g_s684_684,g_s281_280) ).

tff('Define:ctx:92',axiom,
    mem0(g_s256_256,g_s195_194) ).

tff('Define:ctx:920',axiom,
    mem0(g_s685_685,g_s281_280) ).

tff('Define:ctx:921',axiom,
    mem0(g_s686_686,g_s281_280) ).

tff('Define:ctx:922',axiom,
    mem0(g_s687_687,g_s281_280) ).

tff('Define:ctx:923',axiom,
    mem0(g_s688_688,g_s281_280) ).

tff('Define:ctx:924',axiom,
    mem0(g_s689_689,g_s281_280) ).

tff('Define:ctx:925',axiom,
    mem0(g_s690_690,g_s281_280) ).

tff('Define:ctx:926',axiom,
    mem0(g_s691_691,g_s281_280) ).

tff('Define:ctx:927',axiom,
    mem0(g_s692_692,g_s281_280) ).

tff('Define:ctx:928',axiom,
    mem0(g_s693_693,g_s281_280) ).

tff('Define:ctx:929',axiom,
    mem0(g_s694_694,g_s281_280) ).

tff('Define:ctx:93',axiom,
    mem0(g_s257_257,g_s195_194) ).

tff('Define:ctx:930',axiom,
    g_s678_678 = g_s381_381 ).

tff('Define:ctx:931',axiom,
    g_s679_679 = g_s383_383 ).

tff('Define:ctx:932',axiom,
    g_s680_680 = g_s382_382 ).

tff('Define:ctx:933',axiom,
    g_s681_681 = g_s384_384 ).

tff('Define:ctx:934',axiom,
    g_s682_682 = g_s385_385 ).

tff('Define:ctx:935',axiom,
    g_s683_683 = g_s411_411 ).

tff('Define:ctx:936',axiom,
    g_s684_684 = g_s412_412 ).

tff('Define:ctx:937',axiom,
    g_s685_685 = g_s413_413 ).

tff('Define:ctx:938',axiom,
    g_s686_686 = g_s414_414 ).

tff('Define:ctx:939',axiom,
    g_s687_687 = g_s415_415 ).

tff('Define:ctx:94',axiom,
    mem0(g_s258_258,g_s195_194) ).

tff('Define:ctx:940',axiom,
    g_s688_688 = g_s416_416 ).

tff('Define:ctx:941',axiom,
    g_s689_689 = g_s417_417 ).

tff('Define:ctx:942',axiom,
    g_s690_690 = g_s418_418 ).

tff('Define:ctx:943',axiom,
    g_s691_691 = g_s419_419 ).

tff('Define:ctx:944',axiom,
    g_s692_692 = g_s420_420 ).

tff('Define:ctx:945',axiom,
    g_s693_693 = g_s421_421 ).

tff('Define:ctx:946',axiom,
    g_s694_694 = g_s422_422 ).

tff('Define:ctx:947',axiom,
    mem0(g_s695_695,g_s281_280) ).

tff('Define:ctx:948',axiom,
    mem0(g_s696_696,g_s281_280) ).

tff('Define:ctx:949',axiom,
    mem0(g_s697_697,g_s281_280) ).

tff('Define:ctx:95',axiom,
    mem0(g_s259_259,g_s195_194) ).

tff('Define:ctx:950',axiom,
    mem0(g_s698_698,g_s281_280) ).

tff('Define:ctx:951',axiom,
    mem0(g_s699_699,g_s281_280) ).

tff('Define:ctx:952',axiom,
    mem0(g_s700_700,g_s281_280) ).

tff('Define:ctx:953',axiom,
    mem0(g_s701_701,g_s281_280) ).

tff('Define:ctx:954',axiom,
    mem0(g_s702_702,g_s281_280) ).

tff('Define:ctx:955',axiom,
    mem0(g_s703_703,g_s281_280) ).

tff('Define:ctx:956',axiom,
    mem0(g_s704_704,g_s281_280) ).

tff('Define:ctx:957',axiom,
    mem0(g_s705_705,g_s281_280) ).

tff('Define:ctx:958',axiom,
    mem0(g_s706_706,g_s281_280) ).

tff('Define:ctx:959',axiom,
    mem0(g_s707_707,g_s281_280) ).

tff('Define:ctx:96',axiom,
    mem0(g_s260_260,g_s195_194) ).

tff('Define:ctx:960',axiom,
    mem0(g_s708_708,g_s281_280) ).

tff('Define:ctx:961',axiom,
    mem0(g_s709_709,g_s281_280) ).

tff('Define:ctx:962',axiom,
    mem0(g_s710_710,g_s281_280) ).

tff('Define:ctx:963',axiom,
    mem0(g_s711_711,g_s281_280) ).

tff('Define:ctx:964',axiom,
    g_s695_695 = g_s381_381 ).

tff('Define:ctx:965',axiom,
    g_s696_696 = g_s383_383 ).

tff('Define:ctx:966',axiom,
    g_s697_697 = g_s382_382 ).

tff('Define:ctx:967',axiom,
    g_s698_698 = g_s384_384 ).

tff('Define:ctx:968',axiom,
    g_s699_699 = g_s385_385 ).

tff('Define:ctx:969',axiom,
    g_s700_700 = g_s411_411 ).

tff('Define:ctx:97',axiom,
    mem0(g_s261_261,g_s195_194) ).

tff('Define:ctx:970',axiom,
    g_s701_701 = g_s412_412 ).

tff('Define:ctx:971',axiom,
    g_s702_702 = g_s413_413 ).

tff('Define:ctx:972',axiom,
    g_s703_703 = g_s414_414 ).

tff('Define:ctx:973',axiom,
    g_s704_704 = g_s415_415 ).

tff('Define:ctx:974',axiom,
    g_s705_705 = g_s416_416 ).

tff('Define:ctx:975',axiom,
    g_s706_706 = g_s417_417 ).

tff('Define:ctx:976',axiom,
    g_s707_707 = g_s418_418 ).

tff('Define:ctx:977',axiom,
    g_s708_708 = g_s419_419 ).

tff('Define:ctx:978',axiom,
    g_s709_709 = g_s420_420 ).

tff('Define:ctx:979',axiom,
    g_s710_710 = g_s421_421 ).

tff('Define:ctx:98',axiom,
    mem0(g_s262_262,g_s195_194) ).

tff('Define:ctx:980',axiom,
    g_s711_711 = g_s422_422 ).

tff('Define:ctx:981',axiom,
    g_s712_712 = g_s381_381 ).

tff('Define:ctx:982',axiom,
    g_s713_713 = g_s383_383 ).

tff('Define:ctx:983',axiom,
    g_s714_714 = g_s382_382 ).

tff('Define:ctx:984',axiom,
    mem0(g_s715_715,g_s281_280) ).

tff('Define:ctx:985',axiom,
    mem0(g_s716_716,g_s281_280) ).

tff('Define:ctx:986',axiom,
    mem0(g_s717_717,g_s281_280) ).

tff('Define:ctx:987',axiom,
    mem0(g_s718_718,g_s281_280) ).

tff('Define:ctx:988',axiom,
    mem0(g_s719_719,g_s281_280) ).

tff('Define:ctx:989',axiom,
    mem0(g_s720_720,g_s281_280) ).

tff('Define:ctx:99',axiom,
    mem0(g_s263_263,g_s195_194) ).

tff('Define:ctx:990',axiom,
    mem0(g_s721_721,g_s281_280) ).

tff('Define:ctx:991',axiom,
    mem0(g_s722_722,g_s281_280) ).

tff('Define:ctx:992',axiom,
    mem0(g_s723_723,g_s281_280) ).

tff('Define:ctx:993',axiom,
    g_s715_715 = g_s381_381 ).

tff('Define:ctx:994',axiom,
    g_s716_716 = g_s383_383 ).

tff('Define:ctx:995',axiom,
    g_s717_717 = g_s382_382 ).

tff('Define:ctx:996',axiom,
    g_s718_718 = g_s384_384 ).

tff('Define:ctx:997',axiom,
    g_s719_719 = g_s385_385 ).

tff('Define:ctx:998',axiom,
    g_s720_720 = g_s411_411 ).

tff('Define:ctx:999',axiom,
    g_s721_721 = g_s412_412 ).

tff('Define:imext:0',axiom,
    ( ! [X_1796: $o,X_1797: $int] :
        ( mem7(X_1797,(X_1796),g_s1179_1_891)
       => ( mem0(X_1797,g_s129_129)
          & mem3((X_1796),g_s332_332) ) )
    & ! [X_1798: $int,X_1799: $o,X_1800: $o] :
        ( ( mem7(X_1798,(X_1799),g_s1179_1_891)
          & mem7(X_1798,(X_1800),g_s1179_1_891) )
       => ( (X_1799)
        <=> (X_1800) ) ) ) ).

tff('Define:imext:1',axiom,
    ( ! [X_1801: $int,X_1802: $int] :
        ( mem2(X_1802,X_1801,g_s1170_1_892)
       => ( mem0(X_1802,g_s129_129)
          & mem0(X_1801,g_s305_305) ) )
    & ! [X_1803: $int,X_1804: $int,X_1805: $int] :
        ( ( mem2(X_1803,X_1804,g_s1170_1_892)
          & mem2(X_1803,X_1805,g_s1170_1_892) )
       => ( X_1804 = X_1805 ) ) ) ).

tff('Define:imext:10',axiom,
    ( ! [X_1872: $int,X_1873: $int] :
        ( mem2(X_1873,X_1872,g_s1211_1_901)
       => ( mem0(X_1873,g_s644_644)
          & mem0(X_1872,g_s301_301) ) )
    & ! [X_1874: $int,X_1875: $int,X_1876: $int] :
        ( ( mem2(X_1874,X_1875,g_s1211_1_901)
          & mem2(X_1874,X_1876,g_s1211_1_901) )
       => ( X_1875 = X_1876 ) ) ) ).

tff('Define:imext:11',axiom,
    mem0(g_s1183_1_902,g_s301_301) ).

tff('Define:imext:12',axiom,
    mem3(g_s1186_1_903,g_s332_332) ).

tff('Define:imext:13',axiom,
    mem3(g_s1212_1_904,g_s332_332) ).

tff('Define:imext:14',axiom,
    ( ! [X_1877: $o,X_1878: $int] :
        ( mem7(X_1878,(X_1877),g_s1213_1_905)
       => ( mem0(X_1878,g_s644_644)
          & mem3((X_1877),g_s333_333) ) )
    & ! [X_1879: $int,X_1880: $o,X_1881: $o] :
        ( ( mem7(X_1879,(X_1880),g_s1213_1_905)
          & mem7(X_1879,(X_1881),g_s1213_1_905) )
       => ( (X_1880)
        <=> (X_1881) ) ) ) ).

tff('Define:imext:15',axiom,
    mem0(g_s1214_1_906,g_s176_176) ).

tff('Define:imext:2',axiom,
    ( ! [X_1806: $int,X_1807: $int] :
        ( mem2(X_1807,X_1806,g_s1171_1_893)
       => ( mem0(X_1807,g_s129_129)
          & mem0(X_1806,g_s305_305) ) )
    & ! [X_1808: $int,X_1809: $int,X_1810: $int] :
        ( ( mem2(X_1808,X_1809,g_s1171_1_893)
          & mem2(X_1808,X_1810,g_s1171_1_893) )
       => ( X_1809 = X_1810 ) ) ) ).

tff('Define:imext:3',axiom,
    ( ! [X_1811: set_2,X_1812: $int] :
        ( mem10(X_1812,X_1811,g_s1172_1_894)
       => ( mem0(X_1812,g_s129_129)
          & ? [X_1813: set_2] :
              ( ! [X_1814: $int,X_1815: $int] :
                  ( mem2(X_1815,X_1814,X_1813)
                <=> mem2(X_1815,X_1814,X_1811) )
              & ! [X_1816: $int,X_1817: $int,X_1818: $int] :
                  ( ( mem2(X_1816,X_1817,X_1813)
                    & mem2(X_1816,X_1818,X_1813) )
                 => ( X_1817 = X_1818 ) )
              & ! [X_1819: $int] :
                  ( mem0(X_1819,g_s531_531)
                <=> ? [X_1820: $int] : mem2(X_1819,X_1820,X_1813) )
              & ! [X_1821: $int] :
                  ( ? [X_1822: $int] : mem2(X_1822,X_1821,X_1813)
                 => mem0(X_1821,g_s293_293) ) ) ) )
    & ! [X_1823: $int,X_1824: set_2,X_1825: set_2] :
        ( ( mem10(X_1823,X_1824,g_s1172_1_894)
          & mem10(X_1823,X_1825,g_s1172_1_894) )
       => ! [X_1826: $int,X_1827: $int] :
            ( mem2(X_1827,X_1826,X_1824)
          <=> mem2(X_1827,X_1826,X_1825) ) ) ) ).

tff('Define:imext:4',axiom,
    ( ! [X_1828: $int,X_1829: $int] :
        ( mem2(X_1829,X_1828,g_s1174_1_895)
       => ( mem0(X_1829,g_s129_129)
          & mem0(X_1828,g_s293_293) ) )
    & ! [X_1830: $int,X_1831: $int,X_1832: $int] :
        ( ( mem2(X_1830,X_1831,g_s1174_1_895)
          & mem2(X_1830,X_1832,g_s1174_1_895) )
       => ( X_1831 = X_1832 ) ) ) ).

tff('Define:imext:5',axiom,
    ( ! [X_1833: set_2,X_1834: $int] :
        ( mem10(X_1834,X_1833,g_s1208_1_896)
       => ( mem0(X_1834,g_s129_129)
          & ? [X_1835: set_2] :
              ( ! [X_1836: $int,X_1837: $int] :
                  ( mem2(X_1837,X_1836,X_1835)
                <=> mem2(X_1837,X_1836,X_1833) )
              & ! [X_1838: $int,X_1839: $int,X_1840: $int] :
                  ( ( mem2(X_1838,X_1839,X_1835)
                    & mem2(X_1838,X_1840,X_1835) )
                 => ( X_1839 = X_1840 ) )
              & ! [X_1841: $int] :
                  ( mem0(X_1841,g_s649_649)
                <=> ? [X_1842: $int] : mem2(X_1841,X_1842,X_1835) )
              & ! [X_1843: $int] :
                  ( ? [X_1844: $int] : mem2(X_1844,X_1843,X_1835)
                 => mem0(X_1843,g_s294_294) ) ) ) )
    & ! [X_1845: $int,X_1846: set_2,X_1847: set_2] :
        ( ( mem10(X_1845,X_1846,g_s1208_1_896)
          & mem10(X_1845,X_1847,g_s1208_1_896) )
       => ! [X_1848: $int,X_1849: $int] :
            ( mem2(X_1849,X_1848,X_1846)
          <=> mem2(X_1849,X_1848,X_1847) ) ) ) ).

tff('Define:imext:6',axiom,
    ( ! [X_1850: set_7,X_1851: $int] :
        ( mem11(X_1851,X_1850,g_s1173_1_897)
       => ( mem0(X_1851,g_s129_129)
          & ? [X_1852: set_7] :
              ( ! [X_1853: $o,X_1854: $int] :
                  ( mem7(X_1854,(X_1853),X_1852)
                <=> mem7(X_1854,(X_1853),X_1850) )
              & ! [X_1855: $int,X_1856: $o,X_1857: $o] :
                  ( ( mem7(X_1855,(X_1856),X_1852)
                    & mem7(X_1855,(X_1857),X_1852) )
                 => ( (X_1856)
                  <=> (X_1857) ) )
              & ! [X_1858: $int] :
                  ( mem0(X_1858,g_s531_531)
                <=> ? [X_1859: $o] : mem7(X_1858,(X_1859),X_1852) )
              & ! [X_1860: $o] :
                  ( ? [X_1861: $int] : mem7(X_1861,(X_1860),X_1852)
                 => mem3((X_1860),g_s332_332) ) ) ) )
    & ! [X_1862: $int,X_1863: set_7,X_1864: set_7] :
        ( ( mem11(X_1862,X_1863,g_s1173_1_897)
          & mem11(X_1862,X_1864,g_s1173_1_897) )
       => ! [X_1865: $o,X_1866: $int] :
            ( mem7(X_1866,(X_1865),X_1863)
          <=> mem7(X_1866,(X_1865),X_1864) ) ) ) ).

tff('Define:imext:7',axiom,
    mem3(g_s1209_1_898,g_s332_332) ).

tff('Define:imext:8',axiom,
    mem0(g_s1210_1_899,g_s301_301) ).

tff('Define:imext:9',axiom,
    ( ! [X_1867: $o,X_1868: $int] :
        ( mem7(X_1868,(X_1867),g_s1178_1_900)
       => ( mem0(X_1868,g_s644_644)
          & mem3((X_1867),g_s332_332) ) )
    & ! [X_1869: $int,X_1870: $o,X_1871: $o] :
        ( ( mem7(X_1869,(X_1870),g_s1178_1_900)
          & mem7(X_1869,(X_1871),g_s1178_1_900) )
       => ( (X_1870)
        <=> (X_1871) ) ) ) ).

tff('Define:inv:0',axiom,
    ! [X_2108: $o,X_2109: $int] :
      ( mem7(X_2109,(X_2108),g_s1179_1167)
    <=> mem7(X_2109,(X_2108),g_s1179_1_891) ) ).

tff('Define:inv:1',axiom,
    ! [X_2110: $int,X_2111: $int] :
      ( mem2(X_2111,X_2110,g_s1170_1168)
    <=> mem2(X_2111,X_2110,g_s1170_1_892) ) ).

tff('Define:inv:10',axiom,
    mem3(g_s1189_1_1193,g_s332_332) ).

tff('Define:inv:11',axiom,
    mem0(g_s1190_1_1194,g_s301_301) ).

tff('Define:inv:12',axiom,
    mem3(g_s1191_1_1195,g_s332_332) ).

tff('Define:inv:13',axiom,
    mem0(g_s1192_1_1196,g_s300_300) ).

tff('Define:inv:14',axiom,
    mem0(g_s1193_1_1197,g_s300_300) ).

tff('Define:inv:15',axiom,
    mem0(g_s1194_1_1198,g_s300_300) ).

tff('Define:inv:16',axiom,
    mem0(g_s1195_1_1199,g_s300_300) ).

tff('Define:inv:17',axiom,
    mem0(g_s1196_1_1200,g_s300_300) ).

tff('Define:inv:18',axiom,
    mem0(g_s1197_1_1201,g_s300_300) ).

tff('Define:inv:19',axiom,
    mem0(g_s1198_1_1202,g_s300_300) ).

tff('Define:inv:2',axiom,
    ! [X_2112: $int,X_2113: $int] :
      ( mem2(X_2113,X_2112,g_s1171_1169)
    <=> mem2(X_2113,X_2112,g_s1171_1_893) ) ).

tff('Define:inv:20',axiom,
    mem0(g_s1199_1_1203,g_s300_300) ).

tff('Define:inv:21',axiom,
    mem3(g_s1188_1_1192,g_s332_332) ).

tff('Define:inv:22',axiom,
    mem3(g_s1200_1_1204,g_s332_332) ).

tff('Define:inv:23',axiom,
    mem3(g_s1201_1_1205,g_s332_332) ).

tff('Define:inv:24',axiom,
    mem3(g_s1202_1_1206,g_s332_332) ).

tff('Define:inv:25',axiom,
    mem3(g_s1203_1_1207,g_s332_332) ).

tff('Define:inv:26',axiom,
    mem3(g_s1204_1_1208,g_s332_332) ).

tff('Define:inv:27',axiom,
    mem3(g_s1205_1_1209,g_s332_332) ).

tff('Define:inv:28',axiom,
    mem3(g_s1206_1_1210,g_s332_332) ).

tff('Define:inv:29',axiom,
    mem3(g_s1207_1_1211,g_s332_332) ).

tff('Define:inv:3',axiom,
    ! [X_2114: set_2,X_2115: $int] :
      ( mem10(X_2115,X_2114,g_s1172_1170)
    <=> mem10(X_2115,X_2114,g_s1172_1_894) ) ).

tff('Define:inv:30',axiom,
    ! [X_2122: $int,X_2123: $int] :
      ( mem2(X_2123,X_2122,g_s1177_1184)
    <=> ( ( ( X_2123 = g_s178_178 )
          & ( X_2122 = g_s1192_1_1196 ) )
        | ( ( X_2123 = g_s179_179 )
          & ( X_2122 = g_s1193_1_1197 ) )
        | ( ( X_2123 = g_s180_180 )
          & ( X_2122 = g_s1194_1_1198 ) )
        | ( ( X_2123 = g_s181_181 )
          & ( X_2122 = g_s1195_1_1199 ) )
        | ( ( X_2123 = g_s182_182 )
          & ( X_2122 = g_s1196_1_1200 ) )
        | ( ( X_2123 = g_s183_183 )
          & ( X_2122 = g_s1197_1_1201 ) )
        | ( ( X_2123 = g_s184_184 )
          & ( X_2122 = g_s1198_1_1202 ) )
        | ( ( X_2123 = g_s185_185 )
          & ( X_2122 = g_s1199_1_1203 ) ) ) ) ).

tff('Define:inv:31',axiom,
    ! [X_2124: $o,X_2125: $int] :
      ( mem7(X_2125,(X_2124),g_s1176_1183)
    <=> ( ( ( X_2125 = g_s178_178 )
          & ( (X_2124)
          <=> g_s1200_1_1204 ) )
        | ( ( X_2125 = g_s179_179 )
          & ( (X_2124)
          <=> g_s1201_1_1205 ) )
        | ( ( X_2125 = g_s180_180 )
          & ( (X_2124)
          <=> g_s1202_1_1206 ) )
        | ( ( X_2125 = g_s181_181 )
          & ( (X_2124)
          <=> g_s1203_1_1207 ) )
        | ( ( X_2125 = g_s182_182 )
          & ( (X_2124)
          <=> g_s1204_1_1208 ) )
        | ( ( X_2125 = g_s183_183 )
          & ( (X_2124)
          <=> g_s1205_1_1209 ) )
        | ( ( X_2125 = g_s184_184 )
          & ( (X_2124)
          <=> g_s1206_1_1210 ) )
        | ( ( X_2125 = g_s185_185 )
          & ( (X_2124)
          <=> g_s1207_1_1211 ) ) ) ) ).

tff('Define:inv:4',axiom,
    ! [X_2116: $int,X_2117: $int] :
      ( mem2(X_2117,X_2116,g_s1174_1171)
    <=> mem2(X_2117,X_2116,g_s1174_1_895) ) ).

tff('Define:inv:5',axiom,
    ! [X_2118: set_7,X_2119: $int] :
      ( mem11(X_2119,X_2118,g_s1173_1173)
    <=> mem11(X_2119,X_2118,g_s1173_1_897) ) ).

tff('Define:inv:6',axiom,
    ! [X_2120: $o,X_2121: $int] :
      ( mem7(X_2121,(X_2120),g_s1178_1176)
    <=> mem7(X_2121,(X_2120),g_s1178_1_900) ) ).

tff('Define:inv:7',axiom,
    g_s1183_1178 = g_s1183_1_902 ).

tff('Define:inv:8',axiom,
    ( g_s1186_1179
  <=> g_s1186_1_903 ) ).

tff('Define:inv:9',axiom,
    ( g_s1188_1191
  <=> g_s1188_1_1192 ) ).

tff('Define:seext:0',axiom,
    mem3(g_s910_907,g_s332_332) ).

tff('Define:seext:1',axiom,
    mem3(g_s911_908,g_s332_332) ).

tff('Define:seext:10',axiom,
    mem3(g_s920_917,g_s332_332) ).

tff('Define:seext:100',axiom,
    mem3(g_s1010_1007,g_s332_332) ).

tff('Define:seext:101',axiom,
    mem3(g_s1011_1008,g_s332_332) ).

tff('Define:seext:102',axiom,
    mem3(g_s1012_1009,g_s332_332) ).

tff('Define:seext:103',axiom,
    mem3(g_s1013_1010,g_s332_332) ).

tff('Define:seext:104',axiom,
    mem3(g_s1014_1011,g_s332_332) ).

tff('Define:seext:105',axiom,
    mem3(g_s1015_1012,g_s332_332) ).

tff('Define:seext:106',axiom,
    mem3(g_s1016_1013,g_s332_332) ).

tff('Define:seext:107',axiom,
    mem3(g_s1017_1014,g_s332_332) ).

tff('Define:seext:108',axiom,
    mem3(g_s1018_1015,g_s332_332) ).

tff('Define:seext:109',axiom,
    mem3(g_s1019_1016,g_s332_332) ).

tff('Define:seext:11',axiom,
    mem3(g_s921_918,g_s332_332) ).

tff('Define:seext:110',axiom,
    mem3(g_s1020_1017,g_s332_332) ).

tff('Define:seext:111',axiom,
    mem3(g_s1021_1018,g_s332_332) ).

tff('Define:seext:112',axiom,
    mem3(g_s1022_1019,g_s332_332) ).

tff('Define:seext:113',axiom,
    mem3(g_s1023_1020,g_s332_332) ).

tff('Define:seext:114',axiom,
    mem3(g_s1024_1021,g_s332_332) ).

tff('Define:seext:115',axiom,
    mem3(g_s1025_1022,g_s332_332) ).

tff('Define:seext:116',axiom,
    mem3(g_s1026_1023,g_s332_332) ).

tff('Define:seext:117',axiom,
    mem3(g_s1027_1024,g_s332_332) ).

tff('Define:seext:118',axiom,
    mem3(g_s1028_1025,g_s332_332) ).

tff('Define:seext:119',axiom,
    mem3(g_s1029_1026,g_s332_332) ).

tff('Define:seext:12',axiom,
    mem3(g_s922_919,g_s332_332) ).

tff('Define:seext:120',axiom,
    mem3(g_s1030_1027,g_s332_332) ).

tff('Define:seext:121',axiom,
    mem3(g_s1031_1028,g_s332_332) ).

tff('Define:seext:122',axiom,
    mem3(g_s1032_1029,g_s332_332) ).

tff('Define:seext:123',axiom,
    mem3(g_s1033_1030,g_s332_332) ).

tff('Define:seext:124',axiom,
    mem3(g_s1034_1031,g_s332_332) ).

tff('Define:seext:125',axiom,
    mem3(g_s1035_1032,g_s332_332) ).

tff('Define:seext:126',axiom,
    mem3(g_s1036_1033,g_s332_332) ).

tff('Define:seext:127',axiom,
    mem3(g_s1037_1034,g_s332_332) ).

tff('Define:seext:128',axiom,
    mem3(g_s1038_1035,g_s332_332) ).

tff('Define:seext:129',axiom,
    mem3(g_s1039_1036,g_s332_332) ).

tff('Define:seext:13',axiom,
    mem3(g_s923_920,g_s332_332) ).

tff('Define:seext:130',axiom,
    mem3(g_s1040_1037,g_s332_332) ).

tff('Define:seext:131',axiom,
    mem3(g_s1041_1038,g_s332_332) ).

tff('Define:seext:132',axiom,
    mem3(g_s1042_1039,g_s332_332) ).

tff('Define:seext:133',axiom,
    mem3(g_s1043_1040,g_s332_332) ).

tff('Define:seext:134',axiom,
    mem3(g_s1044_1041,g_s332_332) ).

tff('Define:seext:135',axiom,
    mem3(g_s1045_1042,g_s332_332) ).

tff('Define:seext:136',axiom,
    mem3(g_s1046_1043,g_s332_332) ).

tff('Define:seext:137',axiom,
    mem3(g_s1047_1044,g_s332_332) ).

tff('Define:seext:138',axiom,
    mem3(g_s1048_1045,g_s332_332) ).

tff('Define:seext:139',axiom,
    mem3(g_s1049_1046,g_s332_332) ).

tff('Define:seext:14',axiom,
    mem3(g_s924_921,g_s332_332) ).

tff('Define:seext:140',axiom,
    mem3(g_s1050_1047,g_s332_332) ).

tff('Define:seext:141',axiom,
    mem3(g_s1051_1048,g_s332_332) ).

tff('Define:seext:142',axiom,
    mem3(g_s1052_1049,g_s332_332) ).

tff('Define:seext:143',axiom,
    mem3(g_s1053_1050,g_s332_332) ).

tff('Define:seext:144',axiom,
    mem3(g_s1054_1051,g_s332_332) ).

tff('Define:seext:145',axiom,
    mem3(g_s1055_1052,g_s332_332) ).

tff('Define:seext:146',axiom,
    mem3(g_s1056_1053,g_s332_332) ).

tff('Define:seext:147',axiom,
    mem3(g_s1057_1054,g_s332_332) ).

tff('Define:seext:148',axiom,
    mem3(g_s1058_1055,g_s332_332) ).

tff('Define:seext:149',axiom,
    mem3(g_s1059_1056,g_s332_332) ).

tff('Define:seext:15',axiom,
    mem3(g_s925_922,g_s332_332) ).

tff('Define:seext:150',axiom,
    mem3(g_s1060_1057,g_s332_332) ).

tff('Define:seext:151',axiom,
    mem3(g_s1061_1058,g_s332_332) ).

tff('Define:seext:152',axiom,
    mem3(g_s1062_1059,g_s332_332) ).

tff('Define:seext:153',axiom,
    mem3(g_s1063_1060,g_s332_332) ).

tff('Define:seext:154',axiom,
    mem3(g_s1064_1061,g_s332_332) ).

tff('Define:seext:155',axiom,
    mem3(g_s1065_1062,g_s332_332) ).

tff('Define:seext:156',axiom,
    mem3(g_s1066_1063,g_s332_332) ).

tff('Define:seext:157',axiom,
    mem3(g_s1067_1064,g_s332_332) ).

tff('Define:seext:158',axiom,
    mem3(g_s1068_1065,g_s332_332) ).

tff('Define:seext:159',axiom,
    mem3(g_s1069_1066,g_s332_332) ).

tff('Define:seext:16',axiom,
    mem3(g_s926_923,g_s332_332) ).

tff('Define:seext:160',axiom,
    mem3(g_s1070_1067,g_s332_332) ).

tff('Define:seext:161',axiom,
    mem3(g_s1071_1068,g_s332_332) ).

tff('Define:seext:162',axiom,
    mem3(g_s1072_1069,g_s332_332) ).

tff('Define:seext:163',axiom,
    mem3(g_s1073_1070,g_s332_332) ).

tff('Define:seext:164',axiom,
    mem3(g_s1074_1071,g_s332_332) ).

tff('Define:seext:165',axiom,
    mem3(g_s1075_1072,g_s332_332) ).

tff('Define:seext:166',axiom,
    mem3(g_s1076_1073,g_s332_332) ).

tff('Define:seext:167',axiom,
    mem3(g_s1077_1074,g_s332_332) ).

tff('Define:seext:168',axiom,
    mem3(g_s1078_1075,g_s332_332) ).

tff('Define:seext:169',axiom,
    mem3(g_s1079_1076,g_s332_332) ).

tff('Define:seext:17',axiom,
    mem0(g_s927_924,g_s301_301) ).

tff('Define:seext:170',axiom,
    mem3(g_s1080_1077,g_s332_332) ).

tff('Define:seext:171',axiom,
    mem3(g_s1081_1078,g_s332_332) ).

tff('Define:seext:172',axiom,
    mem3(g_s1082_1079,g_s332_332) ).

tff('Define:seext:173',axiom,
    mem3(g_s1083_1080,g_s332_332) ).

tff('Define:seext:174',axiom,
    mem3(g_s1084_1081,g_s332_332) ).

tff('Define:seext:175',axiom,
    mem3(g_s1085_1082,g_s332_332) ).

tff('Define:seext:176',axiom,
    mem3(g_s1086_1083,g_s332_332) ).

tff('Define:seext:177',axiom,
    mem3(g_s1087_1084,g_s332_332) ).

tff('Define:seext:178',axiom,
    mem3(g_s1088_1085,g_s332_332) ).

tff('Define:seext:179',axiom,
    mem3(g_s1089_1086,g_s332_332) ).

tff('Define:seext:18',axiom,
    mem0(g_s928_925,g_s301_301) ).

tff('Define:seext:180',axiom,
    mem3(g_s1090_1087,g_s332_332) ).

tff('Define:seext:181',axiom,
    mem3(g_s1091_1088,g_s332_332) ).

tff('Define:seext:182',axiom,
    mem3(g_s1092_1089,g_s332_332) ).

tff('Define:seext:183',axiom,
    mem3(g_s1093_1090,g_s332_332) ).

tff('Define:seext:184',axiom,
    mem3(g_s1094_1091,g_s332_332) ).

tff('Define:seext:185',axiom,
    mem3(g_s1095_1092,g_s332_332) ).

tff('Define:seext:186',axiom,
    mem3(g_s1096_1093,g_s332_332) ).

tff('Define:seext:187',axiom,
    mem3(g_s1097_1094,g_s332_332) ).

tff('Define:seext:188',axiom,
    mem3(g_s1098_1095,g_s332_332) ).

tff('Define:seext:189',axiom,
    mem3(g_s1099_1096,g_s332_332) ).

tff('Define:seext:19',axiom,
    ! [X_1882: $int] :
      ( mem0(X_1882,g_s929_926)
     => mem0(X_1882,g_s529_529) ) ).

tff('Define:seext:190',axiom,
    mem3(g_s1100_1097,g_s332_332) ).

tff('Define:seext:191',axiom,
    mem3(g_s1101_1098,g_s332_332) ).

tff('Define:seext:192',axiom,
    mem3(g_s1102_1099,g_s332_332) ).

tff('Define:seext:193',axiom,
    mem3(g_s1103_1100,g_s332_332) ).

tff('Define:seext:194',axiom,
    mem3(g_s1104_1101,g_s332_332) ).

tff('Define:seext:195',axiom,
    mem3(g_s1105_1102,g_s332_332) ).

tff('Define:seext:196',axiom,
    mem3(g_s1106_1103,g_s332_332) ).

tff('Define:seext:197',axiom,
    mem3(g_s1107_1104,g_s332_332) ).

tff('Define:seext:198',axiom,
    mem3(g_s1108_1105,g_s332_332) ).

tff('Define:seext:199',axiom,
    mem3(g_s1109_1106,g_s332_332) ).

tff('Define:seext:2',axiom,
    mem3(g_s912_909,g_s332_332) ).

tff('Define:seext:20',axiom,
    mem3(g_s930_927,g_s332_332) ).

tff('Define:seext:200',axiom,
    mem3(g_s1110_1107,g_s332_332) ).

tff('Define:seext:201',axiom,
    mem3(g_s1111_1108,g_s332_332) ).

tff('Define:seext:202',axiom,
    mem3(g_s1112_1109,g_s332_332) ).

tff('Define:seext:203',axiom,
    mem3(g_s1113_1110,g_s332_332) ).

tff('Define:seext:204',axiom,
    mem3(g_s1114_1111,g_s332_332) ).

tff('Define:seext:205',axiom,
    mem3(g_s1115_1112,g_s332_332) ).

tff('Define:seext:206',axiom,
    mem3(g_s1116_1113,g_s332_332) ).

tff('Define:seext:207',axiom,
    mem3(g_s1117_1114,g_s332_332) ).

tff('Define:seext:208',axiom,
    mem3(g_s1118_1115,g_s332_332) ).

tff('Define:seext:209',axiom,
    mem3(g_s1119_1116,g_s332_332) ).

tff('Define:seext:21',axiom,
    mem3(g_s931_928,g_s332_332) ).

tff('Define:seext:210',axiom,
    mem3(g_s1120_1117,g_s332_332) ).

tff('Define:seext:211',axiom,
    mem3(g_s1121_1118,g_s332_332) ).

tff('Define:seext:212',axiom,
    mem3(g_s1122_1119,g_s332_332) ).

tff('Define:seext:213',axiom,
    mem3(g_s1123_1120,g_s332_332) ).

tff('Define:seext:214',axiom,
    mem3(g_s1124_1121,g_s332_332) ).

tff('Define:seext:215',axiom,
    mem3(g_s1125_1122,g_s332_332) ).

tff('Define:seext:216',axiom,
    mem3(g_s1126_1123,g_s332_332) ).

tff('Define:seext:217',axiom,
    mem3(g_s1127_1124,g_s332_332) ).

tff('Define:seext:218',axiom,
    mem3(g_s1128_1125,g_s332_332) ).

tff('Define:seext:219',axiom,
    mem3(g_s1129_1126,g_s332_332) ).

tff('Define:seext:22',axiom,
    mem3(g_s932_929,g_s332_332) ).

tff('Define:seext:220',axiom,
    mem3(g_s1130_1127,g_s332_332) ).

tff('Define:seext:221',axiom,
    mem3(g_s1131_1128,g_s332_332) ).

tff('Define:seext:222',axiom,
    mem3(g_s1132_1129,g_s332_332) ).

tff('Define:seext:223',axiom,
    mem3(g_s1133_1130,g_s332_332) ).

tff('Define:seext:224',axiom,
    mem3(g_s1134_1131,g_s332_332) ).

tff('Define:seext:225',axiom,
    mem3(g_s1135_1132,g_s332_332) ).

tff('Define:seext:226',axiom,
    mem3(g_s1136_1133,g_s332_332) ).

tff('Define:seext:227',axiom,
    mem3(g_s1137_1134,g_s332_332) ).

tff('Define:seext:228',axiom,
    mem3(g_s1138_1135,g_s332_332) ).

tff('Define:seext:229',axiom,
    mem3(g_s1139_1136,g_s332_332) ).

tff('Define:seext:23',axiom,
    mem3(g_s933_930,g_s332_332) ).

tff('Define:seext:230',axiom,
    mem3(g_s1140_1137,g_s332_332) ).

tff('Define:seext:231',axiom,
    mem3(g_s1141_1138,g_s332_332) ).

tff('Define:seext:232',axiom,
    mem0(g_s1142_1139,g_s301_301) ).

tff('Define:seext:233',axiom,
    mem0(g_s1143_1140,g_s301_301) ).

tff('Define:seext:234',axiom,
    mem0(g_s1144_1141,g_s301_301) ).

tff('Define:seext:235',axiom,
    mem0(g_s1145_1142,g_s301_301) ).

tff('Define:seext:236',axiom,
    mem0(g_s1146_1143,g_s301_301) ).

tff('Define:seext:237',axiom,
    mem0(g_s1147_1144,g_s301_301) ).

tff('Define:seext:238',axiom,
    mem0(g_s1148_1145,g_s301_301) ).

tff('Define:seext:239',axiom,
    mem0(g_s1149_1146,g_s301_301) ).

tff('Define:seext:24',axiom,
    mem3(g_s934_931,g_s332_332) ).

tff('Define:seext:240',axiom,
    mem0(g_s1150_1147,g_s301_301) ).

tff('Define:seext:241',axiom,
    mem0(g_s1151_1148,g_s301_301) ).

tff('Define:seext:242',axiom,
    mem0(g_s1152_1149,g_s301_301) ).

tff('Define:seext:243',axiom,
    mem0(g_s1153_1150,g_s301_301) ).

tff('Define:seext:244',axiom,
    mem3(g_s1154_1151,g_s332_332) ).

tff('Define:seext:245',axiom,
    mem3(g_s1155_1152,g_s332_332) ).

tff('Define:seext:246',axiom,
    mem3(g_s1156_1153,g_s332_332) ).

tff('Define:seext:247',axiom,
    mem3(g_s1157_1154,g_s332_332) ).

tff('Define:seext:248',axiom,
    mem3(g_s1158_1155,g_s332_332) ).

tff('Define:seext:249',axiom,
    mem3(g_s1159_1156,g_s332_332) ).

tff('Define:seext:25',axiom,
    mem3(g_s935_932,g_s332_332) ).

tff('Define:seext:250',axiom,
    mem3(g_s1160_1157,g_s332_332) ).

tff('Define:seext:251',axiom,
    mem0(g_s1161_1158,g_s293_293) ).

tff('Define:seext:252',axiom,
    ? [X_1883: set_7] :
      ( ! [X_1884: $o,X_1885: $int] :
          ( mem7(X_1885,(X_1884),X_1883)
        <=> mem7(X_1885,(X_1884),g_s1162_1159) )
      & ! [X_1886: $int,X_1887: $o,X_1888: $o] :
          ( ( mem7(X_1886,(X_1887),X_1883)
            & mem7(X_1886,(X_1888),X_1883) )
         => ( (X_1887)
          <=> (X_1888) ) )
      & ! [X_1889: $int] :
          ( mem0(X_1889,g_s531_531)
        <=> ? [X_1890: $o] : mem7(X_1889,(X_1890),X_1883) )
      & ! [X_1891: $o] :
          ( ? [X_1892: $int] : mem7(X_1892,(X_1891),X_1883)
         => mem3((X_1891),g_s332_332) ) ) ).

tff('Define:seext:253',axiom,
    mem3(g_s1163_1160,g_s332_332) ).

tff('Define:seext:254',axiom,
    mem3(g_s1164_1161,g_s332_332) ).

tff('Define:seext:255',axiom,
    mem3(g_s1165_1162,g_s332_332) ).

tff('Define:seext:256',axiom,
    ? [X_1893: set_7] :
      ( ! [X_1894: $o,X_1895: $int] :
          ( mem7(X_1895,(X_1894),X_1893)
        <=> mem7(X_1895,(X_1894),g_s1166_1163) )
      & ! [X_1896: $int,X_1897: $o,X_1898: $o] :
          ( ( mem7(X_1896,(X_1897),X_1893)
            & mem7(X_1896,(X_1898),X_1893) )
         => ( (X_1897)
          <=> (X_1898) ) )
      & ! [X_1899: $int] :
          ( mem0(X_1899,g_s324_324)
        <=> ? [X_1900: $o] : mem7(X_1899,(X_1900),X_1893) )
      & ! [X_1901: $o] :
          ( ? [X_1902: $int] : mem7(X_1902,(X_1901),X_1893)
         => mem3((X_1901),g_s332_332) ) ) ).

tff('Define:seext:257',axiom,
    mem3(g_s1167_1164,g_s332_332) ).

tff('Define:seext:258',axiom,
    mem3(g_s1168_1165,g_s332_332) ).

tff('Define:seext:259',axiom,
    mem3(g_s1169_1166,g_s332_332) ).

tff('Define:seext:26',axiom,
    mem0(g_s936_933,g_s301_301) ).

tff('Define:seext:27',axiom,
    mem0(g_s937_934,g_s301_301) ).

tff('Define:seext:28',axiom,
    mem3(g_s938_935,g_s332_332) ).

tff('Define:seext:29',axiom,
    mem3(g_s939_936,g_s332_332) ).

tff('Define:seext:3',axiom,
    mem3(g_s913_910,g_s332_332) ).

tff('Define:seext:30',axiom,
    mem3(g_s940_937,g_s332_332) ).

tff('Define:seext:31',axiom,
    mem3(g_s941_938,g_s332_332) ).

tff('Define:seext:32',axiom,
    mem3(g_s942_939,g_s332_332) ).

tff('Define:seext:33',axiom,
    mem3(g_s943_940,g_s332_332) ).

tff('Define:seext:34',axiom,
    mem3(g_s944_941,g_s332_332) ).

tff('Define:seext:35',axiom,
    mem3(g_s945_942,g_s332_332) ).

tff('Define:seext:36',axiom,
    mem3(g_s946_943,g_s332_332) ).

tff('Define:seext:37',axiom,
    mem3(g_s947_944,g_s332_332) ).

tff('Define:seext:38',axiom,
    mem3(g_s948_945,g_s332_332) ).

tff('Define:seext:39',axiom,
    mem3(g_s949_946,g_s332_332) ).

tff('Define:seext:4',axiom,
    mem3(g_s914_911,g_s332_332) ).

tff('Define:seext:40',axiom,
    mem3(g_s950_947,g_s332_332) ).

tff('Define:seext:41',axiom,
    mem3(g_s951_948,g_s332_332) ).

tff('Define:seext:42',axiom,
    mem3(g_s952_949,g_s332_332) ).

tff('Define:seext:43',axiom,
    mem3(g_s953_950,g_s332_332) ).

tff('Define:seext:44',axiom,
    mem3(g_s954_951,g_s332_332) ).

tff('Define:seext:45',axiom,
    mem3(g_s955_952,g_s332_332) ).

tff('Define:seext:46',axiom,
    mem3(g_s956_953,g_s332_332) ).

tff('Define:seext:47',axiom,
    mem3(g_s957_954,g_s332_332) ).

tff('Define:seext:48',axiom,
    mem3(g_s958_955,g_s332_332) ).

tff('Define:seext:49',axiom,
    mem3(g_s959_956,g_s332_332) ).

tff('Define:seext:5',axiom,
    mem3(g_s915_912,g_s332_332) ).

tff('Define:seext:50',axiom,
    mem3(g_s960_957,g_s332_332) ).

tff('Define:seext:51',axiom,
    mem3(g_s961_958,g_s332_332) ).

tff('Define:seext:52',axiom,
    mem0(g_s962_959,g_s8_8) ).

tff('Define:seext:53',axiom,
    mem3(g_s963_960,g_s332_332) ).

tff('Define:seext:54',axiom,
    mem3(g_s964_961,g_s332_332) ).

tff('Define:seext:55',axiom,
    mem3(g_s965_962,g_s332_332) ).

tff('Define:seext:56',axiom,
    mem3(g_s966_963,g_s332_332) ).

tff('Define:seext:57',axiom,
    mem3(g_s967_964,g_s332_332) ).

tff('Define:seext:58',axiom,
    mem3(g_s968_965,g_s332_332) ).

tff('Define:seext:59',axiom,
    mem3(g_s969_966,g_s332_332) ).

tff('Define:seext:6',axiom,
    mem3(g_s916_913,g_s332_332) ).

tff('Define:seext:60',axiom,
    mem3(g_s970_967,g_s332_332) ).

tff('Define:seext:61',axiom,
    mem3(g_s971_968,g_s332_332) ).

tff('Define:seext:62',axiom,
    mem3(g_s972_969,g_s332_332) ).

tff('Define:seext:63',axiom,
    mem3(g_s973_970,g_s332_332) ).

tff('Define:seext:64',axiom,
    mem3(g_s974_971,g_s332_332) ).

tff('Define:seext:65',axiom,
    mem3(g_s975_972,g_s332_332) ).

tff('Define:seext:66',axiom,
    mem3(g_s976_973,g_s332_332) ).

tff('Define:seext:67',axiom,
    mem3(g_s977_974,g_s332_332) ).

tff('Define:seext:68',axiom,
    mem3(g_s978_975,g_s332_332) ).

tff('Define:seext:69',axiom,
    mem3(g_s979_976,g_s332_332) ).

tff('Define:seext:7',axiom,
    mem3(g_s917_914,g_s332_332) ).

tff('Define:seext:70',axiom,
    mem3(g_s980_977,g_s332_332) ).

tff('Define:seext:71',axiom,
    mem3(g_s981_978,g_s332_332) ).

tff('Define:seext:72',axiom,
    mem3(g_s982_979,g_s332_332) ).

tff('Define:seext:73',axiom,
    mem3(g_s983_980,g_s332_332) ).

tff('Define:seext:74',axiom,
    mem3(g_s984_981,g_s332_332) ).

tff('Define:seext:75',axiom,
    mem3(g_s985_982,g_s332_332) ).

tff('Define:seext:76',axiom,
    mem3(g_s986_983,g_s332_332) ).

tff('Define:seext:77',axiom,
    mem3(g_s987_984,g_s332_332) ).

tff('Define:seext:78',axiom,
    mem3(g_s988_985,g_s332_332) ).

tff('Define:seext:79',axiom,
    mem3(g_s989_986,g_s332_332) ).

tff('Define:seext:8',axiom,
    mem3(g_s918_915,g_s332_332) ).

tff('Define:seext:80',axiom,
    mem3(g_s990_987,g_s332_332) ).

tff('Define:seext:81',axiom,
    mem3(g_s991_988,g_s332_332) ).

tff('Define:seext:82',axiom,
    mem3(g_s992_989,g_s332_332) ).

tff('Define:seext:83',axiom,
    mem3(g_s993_990,g_s332_332) ).

tff('Define:seext:84',axiom,
    mem3(g_s994_991,g_s332_332) ).

tff('Define:seext:85',axiom,
    mem3(g_s995_992,g_s332_332) ).

tff('Define:seext:86',axiom,
    mem3(g_s996_993,g_s332_332) ).

tff('Define:seext:87',axiom,
    mem3(g_s997_994,g_s332_332) ).

tff('Define:seext:88',axiom,
    mem3(g_s998_995,g_s332_332) ).

tff('Define:seext:89',axiom,
    mem3(g_s999_996,g_s332_332) ).

tff('Define:seext:9',axiom,
    mem3(g_s919_916,g_s332_332) ).

tff('Define:seext:90',axiom,
    mem3(g_s1000_997,g_s332_332) ).

tff('Define:seext:91',axiom,
    mem3(g_s1001_998,g_s332_332) ).

tff('Define:seext:92',axiom,
    mem3(g_s1002_999,g_s332_332) ).

tff('Define:seext:93',axiom,
    mem3(g_s1003_1000,g_s332_332) ).

tff('Define:seext:94',axiom,
    mem3(g_s1004_1001,g_s332_332) ).

tff('Define:seext:95',axiom,
    mem3(g_s1005_1002,g_s332_332) ).

tff('Define:seext:96',axiom,
    mem3(g_s1006_1003,g_s332_332) ).

tff('Define:seext:97',axiom,
    mem3(g_s1007_1004,g_s332_332) ).

tff('Define:seext:98',axiom,
    mem3(g_s1008_1005,g_s332_332) ).

tff('Define:seext:99',axiom,
    mem3(g_s1009_1006,g_s332_332) ).

%Global hypotheses
%----Local hypotheses
tff('Local_Hyp:0',hypothesis,
    mem0(g_s1218_1212,g_s534_534) ).

tff('Local_Hyp:1',hypothesis,
    mem0(g_s1227_1222,g_s176_176) ).

tff('Local_Hyp:2',hypothesis,
    $true ).

tff('Local_Hyp:3',hypothesis,
    mem3(g_s1220_1213,g_s332_332) ).

tff('Local_Hyp:4',hypothesis,
    mem0(g_s1221_1214,g_s305_305) ).

tff('Local_Hyp:5',hypothesis,
    mem0(g_s1222_1215,g_s305_305) ).

tff('Local_Hyp:6',hypothesis,
    mem0(g_s1228_1223,g_s304_304) ).

tff('Local_Hyp:7',hypothesis,
    mem0(g_s1223_1216,g_s304_304) ).

tff('Local_Hyp:8',hypothesis,
    ! [X_2193: $o,X_2194: $int] :
      ( mem7(X_2194,(X_2193),g_s1162_1159)
    <=> mem7(X_2194,(X_2193),g_s1176_1183) ) ).

tff('Local_Hyp:9',hypothesis,
    mem3(g_s1220_1_1217,g_s332_332) ).

tff('Local_Hyp:10',hypothesis,
    mem0(g_s1221_1_1218,g_s305_305) ).

tff('Local_Hyp:11',hypothesis,
    mem0(g_s1222_1_1219,g_s305_305) ).

tff('Local_Hyp:12',hypothesis,
    mem0(g_s1228_1_1224,g_s304_304) ).

tff('Local_Hyp:13',hypothesis,
    mem0(g_s1223_1_1220,g_s304_304) ).

tff('Local_Hyp:14',hypothesis,
    mem0(g_s1224_1221,g_s644_644) ).

tff('Local_Hyp:15',hypothesis,
    ! [X_2196: $int] :
      ( mem2(g_s1218_1212,X_2196,g_s880_870)
     => mem0(X_2196,g_s644_644) ) ).

tff('Local_Hyp:17',hypothesis,
    ~ ( g_s1188_1_1192
    <=> $false ) ).

tff('Local_Hyp:18',hypothesis,
    ! [X_2202: $int,X_2203: $o] :
      ( ( mem2(g_s1218_1212,X_2202,g_s880_870)
        & ( (X_2203)
        <=> $true ) )
     => mem7(X_2202,(X_2203),g_s1178_1_900) ) ).

tff('Local_Hyp:19',hypothesis,
    mem0(g_s1218_1212,g_s129_129) ).

tff('Local_Hyp:20',hypothesis,
    ! [X_2206: $int] :
      ( ! [X_2207: $int] :
          ( mem2(g_s1218_1212,X_2207,g_s880_870)
         => mem2(X_2207,X_2206,g_s1211_1_901) )
     => mem0(X_2206,g_s301_301) ) ).

tff('Local_Hyp:21',hypothesis,
    ! [X_2208: $o] :
      ( ( (X_2208)
      <=> $true )
     => mem7(g_s1218_1212,(X_2208),g_s1179_1_891) ) ).

%----Goal
tff('Goal',conjecture,
    ! [X_2212: $o] :
      ( ( (X_2212)
      <=> $false )
     => mem3((X_2212),g_s332_332) ) ).

%------------------------------------------------------------------------------