TSTP Solution File: SYN447+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN447+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.knPZre6u7V true

% Computer : n025.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep  1 04:03:34 EDT 2023

% Result   : Theorem 21.40s 3.72s
% Output   : Refutation 21.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :  134
% Syntax   : Number of formulae    :  777 (   1 unt; 133 typ;   0 def)
%            Number of atoms       : 4231 (   0 equ;   0 cnn)
%            Maximal formula atoms :  778 (   6 avg)
%            Number of connectives : 9003 (2221   ~;2423   |; 717   &;3195   @)
%                                         (   0 <=>; 186  =>; 261  <=;   0 <~>)
%            Maximal formula depth :  131 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  134 ( 133 usr; 130 con; 0-1 aty)
%            Number of variables   :  634 (   0   ^; 634   !;   0   ?; 634   :)

% Comments : 
%------------------------------------------------------------------------------
thf(a1085_type,type,
    a1085: $i ).

thf(hskp32_type,type,
    hskp32: $o ).

thf(a1025_type,type,
    a1025: $i ).

thf(hskp60_type,type,
    hskp60: $o ).

thf(hskp10_type,type,
    hskp10: $o ).

thf(hskp38_type,type,
    hskp38: $o ).

thf(a1034_type,type,
    a1034: $i ).

thf(a1105_type,type,
    a1105: $i ).

thf(a1022_type,type,
    a1022: $i ).

thf(hskp54_type,type,
    hskp54: $o ).

thf(hskp35_type,type,
    hskp35: $o ).

thf(a1046_type,type,
    a1046: $i ).

thf(hskp44_type,type,
    hskp44: $o ).

thf(a1041_type,type,
    a1041: $i ).

thf(hskp48_type,type,
    hskp48: $o ).

thf(a1088_type,type,
    a1088: $i ).

thf(a1053_type,type,
    a1053: $i ).

thf(a1102_type,type,
    a1102: $i ).

thf(a1064_type,type,
    a1064: $i ).

thf(hskp25_type,type,
    hskp25: $o ).

thf(a1099_type,type,
    a1099: $i ).

thf(c1_1_type,type,
    c1_1: $i > $o ).

thf(a1037_type,type,
    a1037: $i ).

thf(a1020_type,type,
    a1020: $i ).

thf(hskp31_type,type,
    hskp31: $o ).

thf(a1033_type,type,
    a1033: $i ).

thf(a1030_type,type,
    a1030: $i ).

thf(a1086_type,type,
    a1086: $i ).

thf(a1095_type,type,
    a1095: $i ).

thf(hskp1_type,type,
    hskp1: $o ).

thf(hskp57_type,type,
    hskp57: $o ).

thf(hskp8_type,type,
    hskp8: $o ).

thf(hskp16_type,type,
    hskp16: $o ).

thf(a1042_type,type,
    a1042: $i ).

thf(hskp45_type,type,
    hskp45: $o ).

thf(a1023_type,type,
    a1023: $i ).

thf(hskp29_type,type,
    hskp29: $o ).

thf(hskp21_type,type,
    hskp21: $o ).

thf(a1026_type,type,
    a1026: $i ).

thf(a1079_type,type,
    a1079: $i ).

thf(a1062_type,type,
    a1062: $i ).

thf(a1045_type,type,
    a1045: $i ).

thf(a1032_type,type,
    a1032: $i ).

thf(hskp36_type,type,
    hskp36: $o ).

thf(a1083_type,type,
    a1083: $i ).

thf(hskp42_type,type,
    hskp42: $o ).

thf(a1021_type,type,
    a1021: $i ).

thf(hskp43_type,type,
    hskp43: $o ).

thf(c0_1_type,type,
    c0_1: $i > $o ).

thf(a1070_type,type,
    a1070: $i ).

thf(a1052_type,type,
    a1052: $i ).

thf(hskp24_type,type,
    hskp24: $o ).

thf(hskp41_type,type,
    hskp41: $o ).

thf(a1039_type,type,
    a1039: $i ).

thf(a1074_type,type,
    a1074: $i ).

thf(hskp22_type,type,
    hskp22: $o ).

thf(hskp30_type,type,
    hskp30: $o ).

thf(hskp9_type,type,
    hskp9: $o ).

thf(hskp49_type,type,
    hskp49: $o ).

thf(hskp40_type,type,
    hskp40: $o ).

thf(hskp46_type,type,
    hskp46: $o ).

thf(hskp61_type,type,
    hskp61: $o ).

thf(hskp27_type,type,
    hskp27: $o ).

thf(hskp52_type,type,
    hskp52: $o ).

thf(a1028_type,type,
    a1028: $i ).

thf(a1103_type,type,
    a1103: $i ).

thf(a1029_type,type,
    a1029: $i ).

thf(hskp17_type,type,
    hskp17: $o ).

thf(a1038_type,type,
    a1038: $i ).

thf(a1043_type,type,
    a1043: $i ).

thf(a1078_type,type,
    a1078: $i ).

thf(a1031_type,type,
    a1031: $i ).

thf(a1051_type,type,
    a1051: $i ).

thf(hskp50_type,type,
    hskp50: $o ).

thf(a1082_type,type,
    a1082: $i ).

thf(a1098_type,type,
    a1098: $i ).

thf(a1077_type,type,
    a1077: $i ).

thf(a1073_type,type,
    a1073: $i ).

thf(a1059_type,type,
    a1059: $i ).

thf(hskp18_type,type,
    hskp18: $o ).

thf(hskp59_type,type,
    hskp59: $o ).

thf(a1080_type,type,
    a1080: $i ).

thf(hskp55_type,type,
    hskp55: $o ).

thf(hskp58_type,type,
    hskp58: $o ).

thf(hskp13_type,type,
    hskp13: $o ).

thf(hskp47_type,type,
    hskp47: $o ).

thf(hskp19_type,type,
    hskp19: $o ).

thf(a1065_type,type,
    a1065: $i ).

thf(a1035_type,type,
    a1035: $i ).

thf(ndr1_0_type,type,
    ndr1_0: $o ).

thf(hskp37_type,type,
    hskp37: $o ).

thf(a1091_type,type,
    a1091: $i ).

thf(a1024_type,type,
    a1024: $i ).

thf(a1036_type,type,
    a1036: $i ).

thf(a1048_type,type,
    a1048: $i ).

thf(hskp7_type,type,
    hskp7: $o ).

thf(hskp34_type,type,
    hskp34: $o ).

thf(hskp12_type,type,
    hskp12: $o ).

thf(a1069_type,type,
    a1069: $i ).

thf(a1055_type,type,
    a1055: $i ).

thf(hskp0_type,type,
    hskp0: $o ).

thf(hskp11_type,type,
    hskp11: $o ).

thf(hskp39_type,type,
    hskp39: $o ).

thf(hskp33_type,type,
    hskp33: $o ).

thf(hskp53_type,type,
    hskp53: $o ).

thf(a1027_type,type,
    a1027: $i ).

thf(hskp14_type,type,
    hskp14: $o ).

thf(a1049_type,type,
    a1049: $i ).

thf(hskp26_type,type,
    hskp26: $o ).

thf(hskp2_type,type,
    hskp2: $o ).

thf(a1089_type,type,
    a1089: $i ).

thf(a1056_type,type,
    a1056: $i ).

thf(hskp20_type,type,
    hskp20: $o ).

thf(hskp62_type,type,
    hskp62: $o ).

thf(hskp3_type,type,
    hskp3: $o ).

thf(hskp63_type,type,
    hskp63: $o ).

thf(a1044_type,type,
    a1044: $i ).

thf(hskp23_type,type,
    hskp23: $o ).

thf(a1081_type,type,
    a1081: $i ).

thf(hskp51_type,type,
    hskp51: $o ).

thf(hskp56_type,type,
    hskp56: $o ).

thf(hskp15_type,type,
    hskp15: $o ).

thf(c3_1_type,type,
    c3_1: $i > $o ).

thf(a1040_type,type,
    a1040: $i ).

thf(a1101_type,type,
    a1101: $i ).

thf(a1071_type,type,
    a1071: $i ).

thf(a1097_type,type,
    a1097: $i ).

thf(hskp5_type,type,
    hskp5: $o ).

thf(c2_1_type,type,
    c2_1: $i > $o ).

thf(hskp6_type,type,
    hskp6: $o ).

thf(hskp28_type,type,
    hskp28: $o ).

thf(hskp4_type,type,
    hskp4: $o ).

thf(a1084_type,type,
    a1084: $i ).

thf(co1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & ( c0_1 @ a1020 )
          & ~ ( c1_1 @ a1020 )
          & ~ ( c2_1 @ a1020 ) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & ( c2_1 @ a1023 )
          & ~ ( c1_1 @ a1023 )
          & ~ ( c0_1 @ a1023 ) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & ( c2_1 @ a1024 )
          & ( c1_1 @ a1024 )
          & ~ ( c3_1 @ a1024 ) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & ~ ( c0_1 @ a1025 )
          & ~ ( c3_1 @ a1025 )
          & ~ ( c2_1 @ a1025 ) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & ( c0_1 @ a1026 )
          & ~ ( c2_1 @ a1026 )
          & ~ ( c1_1 @ a1026 ) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & ( c1_1 @ a1027 )
          & ( c2_1 @ a1027 )
          & ~ ( c3_1 @ a1027 ) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & ~ ( c2_1 @ a1030 )
          & ~ ( c3_1 @ a1030 )
          & ~ ( c0_1 @ a1030 ) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & ( c0_1 @ a1035 )
          & ( c1_1 @ a1035 )
          & ~ ( c2_1 @ a1035 ) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & ( c0_1 @ a1036 )
          & ~ ( c3_1 @ a1036 )
          & ~ ( c1_1 @ a1036 ) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & ~ ( c1_1 @ a1038 )
          & ( c2_1 @ a1038 )
          & ~ ( c0_1 @ a1038 ) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & ( c1_1 @ a1039 )
          & ~ ( c2_1 @ a1039 )
          & ~ ( c0_1 @ a1039 ) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & ~ ( c3_1 @ a1041 )
          & ( c1_1 @ a1041 )
          & ~ ( c2_1 @ a1041 ) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & ~ ( c1_1 @ a1043 )
          & ( c0_1 @ a1043 )
          & ~ ( c3_1 @ a1043 ) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & ( c0_1 @ a1048 )
          & ( c3_1 @ a1048 )
          & ~ ( c2_1 @ a1048 ) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & ~ ( c0_1 @ a1055 )
          & ~ ( c1_1 @ a1055 )
          & ~ ( c2_1 @ a1055 ) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & ( c3_1 @ a1059 )
          & ( c2_1 @ a1059 )
          & ~ ( c1_1 @ a1059 ) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & ( c2_1 @ a1064 )
          & ( c0_1 @ a1064 )
          & ~ ( c3_1 @ a1064 ) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & ~ ( c0_1 @ a1077 )
          & ( c3_1 @ a1077 )
          & ~ ( c2_1 @ a1077 ) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & ( c2_1 @ a1078 )
          & ( c0_1 @ a1078 )
          & ~ ( c1_1 @ a1078 ) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & ( c1_1 @ a1079 )
          & ~ ( c0_1 @ a1079 )
          & ~ ( c2_1 @ a1079 ) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & ~ ( c0_1 @ a1080 )
          & ~ ( c2_1 @ a1080 )
          & ~ ( c1_1 @ a1080 ) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & ~ ( c3_1 @ a1082 )
          & ~ ( c2_1 @ a1082 )
          & ~ ( c0_1 @ a1082 ) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & ( c2_1 @ a1083 )
          & ( c3_1 @ a1083 )
          & ~ ( c1_1 @ a1083 ) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & ( c1_1 @ a1088 )
          & ( c3_1 @ a1088 )
          & ~ ( c2_1 @ a1088 ) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & ~ ( c2_1 @ a1089 )
          & ( c0_1 @ a1089 )
          & ~ ( c1_1 @ a1089 ) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & ~ ( c3_1 @ a1091 )
          & ~ ( c0_1 @ a1091 )
          & ~ ( c2_1 @ a1091 ) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & ~ ( c3_1 @ a1098 )
          & ( c1_1 @ a1098 )
          & ~ ( c0_1 @ a1098 ) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & ( c3_1 @ a1101 )
          & ( c1_1 @ a1101 )
          & ~ ( c0_1 @ a1101 ) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & ~ ( c0_1 @ a1102 )
          & ( c2_1 @ a1102 )
          & ~ ( c1_1 @ a1102 ) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & ~ ( c1_1 @ a1021 )
          & ~ ( c3_1 @ a1021 )
          & ( c2_1 @ a1021 ) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & ~ ( c2_1 @ a1022 )
          & ( c3_1 @ a1022 )
          & ( c1_1 @ a1022 ) ) )
      & ( ~ hskp31
        | ( ndr1_0
          & ( c0_1 @ a1028 )
          & ~ ( c1_1 @ a1028 )
          & ( c3_1 @ a1028 ) ) )
      & ( ~ hskp32
        | ( ndr1_0
          & ~ ( c0_1 @ a1029 )
          & ( c1_1 @ a1029 )
          & ( c2_1 @ a1029 ) ) )
      & ( ~ hskp33
        | ( ndr1_0
          & ( c3_1 @ a1031 )
          & ~ ( c1_1 @ a1031 )
          & ( c2_1 @ a1031 ) ) )
      & ( ~ hskp34
        | ( ndr1_0
          & ~ ( c2_1 @ a1032 )
          & ~ ( c1_1 @ a1032 )
          & ( c3_1 @ a1032 ) ) )
      & ( ~ hskp35
        | ( ndr1_0
          & ( c0_1 @ a1033 )
          & ( c1_1 @ a1033 )
          & ( c3_1 @ a1033 ) ) )
      & ( ~ hskp36
        | ( ndr1_0
          & ( c3_1 @ a1034 )
          & ~ ( c0_1 @ a1034 )
          & ( c1_1 @ a1034 ) ) )
      & ( ~ hskp37
        | ( ndr1_0
          & ~ ( c1_1 @ a1037 )
          & ( c0_1 @ a1037 )
          & ( c3_1 @ a1037 ) ) )
      & ( ~ hskp38
        | ( ndr1_0
          & ( c1_1 @ a1040 )
          & ( c3_1 @ a1040 )
          & ( c2_1 @ a1040 ) ) )
      & ( ~ hskp39
        | ( ndr1_0
          & ( c0_1 @ a1042 )
          & ~ ( c1_1 @ a1042 )
          & ( c2_1 @ a1042 ) ) )
      & ( ~ hskp40
        | ( ndr1_0
          & ~ ( c1_1 @ a1044 )
          & ( c3_1 @ a1044 )
          & ( c0_1 @ a1044 ) ) )
      & ( ~ hskp41
        | ( ndr1_0
          & ~ ( c1_1 @ a1045 )
          & ~ ( c0_1 @ a1045 )
          & ( c3_1 @ a1045 ) ) )
      & ( ~ hskp42
        | ( ndr1_0
          & ~ ( c2_1 @ a1046 )
          & ( c1_1 @ a1046 )
          & ( c0_1 @ a1046 ) ) )
      & ( ~ hskp43
        | ( ndr1_0
          & ( c0_1 @ a1049 )
          & ( c2_1 @ a1049 )
          & ( c1_1 @ a1049 ) ) )
      & ( ~ hskp44
        | ( ndr1_0
          & ( c1_1 @ a1051 )
          & ~ ( c2_1 @ a1051 )
          & ( c0_1 @ a1051 ) ) )
      & ( ~ hskp45
        | ( ndr1_0
          & ( c0_1 @ a1052 )
          & ( c3_1 @ a1052 )
          & ( c2_1 @ a1052 ) ) )
      & ( ~ hskp46
        | ( ndr1_0
          & ~ ( c1_1 @ a1053 )
          & ~ ( c2_1 @ a1053 )
          & ( c0_1 @ a1053 ) ) )
      & ( ~ hskp47
        | ( ndr1_0
          & ( c2_1 @ a1056 )
          & ( c1_1 @ a1056 )
          & ( c3_1 @ a1056 ) ) )
      & ( ~ hskp48
        | ( ndr1_0
          & ( c3_1 @ a1062 )
          & ( c2_1 @ a1062 )
          & ( c0_1 @ a1062 ) ) )
      & ( ~ hskp49
        | ( ndr1_0
          & ~ ( c0_1 @ a1065 )
          & ~ ( c2_1 @ a1065 )
          & ( c1_1 @ a1065 ) ) )
      & ( ~ hskp50
        | ( ndr1_0
          & ~ ( c0_1 @ a1069 )
          & ( c3_1 @ a1069 )
          & ( c1_1 @ a1069 ) ) )
      & ( ~ hskp51
        | ( ndr1_0
          & ( c2_1 @ a1070 )
          & ~ ( c1_1 @ a1070 )
          & ( c0_1 @ a1070 ) ) )
      & ( ~ hskp52
        | ( ndr1_0
          & ( c1_1 @ a1071 )
          & ( c0_1 @ a1071 )
          & ( c3_1 @ a1071 ) ) )
      & ( ~ hskp53
        | ( ndr1_0
          & ( c1_1 @ a1073 )
          & ( c2_1 @ a1073 )
          & ( c0_1 @ a1073 ) ) )
      & ( ~ hskp54
        | ( ndr1_0
          & ( c3_1 @ a1074 )
          & ( c0_1 @ a1074 )
          & ( c2_1 @ a1074 ) ) )
      & ( ~ hskp55
        | ( ndr1_0
          & ( c1_1 @ a1081 )
          & ~ ( c0_1 @ a1081 )
          & ( c3_1 @ a1081 ) ) )
      & ( ~ hskp56
        | ( ndr1_0
          & ~ ( c3_1 @ a1084 )
          & ~ ( c1_1 @ a1084 )
          & ( c0_1 @ a1084 ) ) )
      & ( ~ hskp57
        | ( ndr1_0
          & ( c2_1 @ a1085 )
          & ( c0_1 @ a1085 )
          & ( c3_1 @ a1085 ) ) )
      & ( ~ hskp58
        | ( ndr1_0
          & ~ ( c0_1 @ a1086 )
          & ( c2_1 @ a1086 )
          & ( c3_1 @ a1086 ) ) )
      & ( ~ hskp59
        | ( ndr1_0
          & ~ ( c0_1 @ a1095 )
          & ~ ( c3_1 @ a1095 )
          & ( c1_1 @ a1095 ) ) )
      & ( ~ hskp60
        | ( ndr1_0
          & ( c2_1 @ a1097 )
          & ~ ( c0_1 @ a1097 )
          & ( c3_1 @ a1097 ) ) )
      & ( ~ hskp61
        | ( ndr1_0
          & ~ ( c3_1 @ a1099 )
          & ~ ( c0_1 @ a1099 )
          & ( c2_1 @ a1099 ) ) )
      & ( ~ hskp62
        | ( ndr1_0
          & ( c2_1 @ a1103 )
          & ( c3_1 @ a1103 )
          & ( c1_1 @ a1103 ) ) )
      & ( ~ hskp63
        | ( ndr1_0
          & ~ ( c2_1 @ a1105 )
          & ( c1_1 @ a1105 )
          & ( c3_1 @ a1105 ) ) )
      & ( hskp0
        | hskp29
        | hskp30 )
      & ( ! [U: $i] :
            ( ndr1_0
           => ( ~ ( c3_1 @ U )
              | ( c2_1 @ U )
              | ( c1_1 @ U ) ) )
        | ! [V: $i] :
            ( ndr1_0
           => ( ( c1_1 @ V )
              | ~ ( c0_1 @ V )
              | ~ ( c2_1 @ V ) ) )
        | hskp1 )
      & ( hskp2
        | ! [W: $i] :
            ( ndr1_0
           => ( ( c3_1 @ W )
              | ( c2_1 @ W )
              | ( c0_1 @ W ) ) )
        | ! [X: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X )
              | ~ ( c1_1 @ X )
              | ~ ( c3_1 @ X ) ) ) )
      & ( ! [Y: $i] :
            ( ndr1_0
           => ( ( c2_1 @ Y )
              | ( c3_1 @ Y )
              | ( c0_1 @ Y ) ) )
        | hskp3
        | ! [Z: $i] :
            ( ndr1_0
           => ( ( c1_1 @ Z )
              | ~ ( c0_1 @ Z )
              | ( c2_1 @ Z ) ) ) )
      & ( hskp4
        | hskp5
        | ! [X1: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X1 )
              | ~ ( c2_1 @ X1 )
              | ( c3_1 @ X1 ) ) ) )
      & ( hskp31
        | ! [X2: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X2 )
              | ~ ( c1_1 @ X2 )
              | ( c2_1 @ X2 ) ) )
        | ! [X3: $i] :
            ( ndr1_0
           => ( ~ ( c2_1 @ X3 )
              | ( c1_1 @ X3 )
              | ( c3_1 @ X3 ) ) ) )
      & ( ! [X4: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X4 )
              | ~ ( c0_1 @ X4 )
              | ( c3_1 @ X4 ) ) )
        | hskp32
        | hskp6 )
      & ( hskp33
        | ! [X5: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X5 )
              | ( c2_1 @ X5 )
              | ( c0_1 @ X5 ) ) )
        | ! [X6: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X6 )
              | ~ ( c3_1 @ X6 )
              | ~ ( c2_1 @ X6 ) ) ) )
      & ( ! [X7: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X7 )
              | ~ ( c1_1 @ X7 )
              | ( c3_1 @ X7 ) ) )
        | ! [X8: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X8 )
              | ( c1_1 @ X8 )
              | ~ ( c0_1 @ X8 ) ) )
        | hskp34 )
      & ( ! [X9: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X9 )
              | ( c0_1 @ X9 )
              | ( c3_1 @ X9 ) ) )
        | hskp35
        | ! [X10: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X10 )
              | ( c2_1 @ X10 )
              | ~ ( c3_1 @ X10 ) ) ) )
      & ( ! [X11: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X11 )
              | ~ ( c1_1 @ X11 )
              | ( c0_1 @ X11 ) ) )
        | hskp36
        | hskp7 )
      & ( ! [X12: $i] :
            ( ndr1_0
           => ( ~ ( c3_1 @ X12 )
              | ~ ( c1_1 @ X12 )
              | ( c0_1 @ X12 ) ) )
        | hskp8
        | hskp37 )
      & ( ! [X13: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X13 )
              | ( c3_1 @ X13 )
              | ( c2_1 @ X13 ) ) )
        | hskp9
        | ! [X14: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X14 )
              | ~ ( c3_1 @ X14 )
              | ( c1_1 @ X14 ) ) ) )
      & ( ! [X15: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X15 )
              | ( c2_1 @ X15 )
              | ( c0_1 @ X15 ) ) )
        | hskp10 )
      & ( ! [X16: $i] :
            ( ndr1_0
           => ( ~ ( c3_1 @ X16 )
              | ( c2_1 @ X16 )
              | ~ ( c0_1 @ X16 ) ) )
        | hskp38
        | ! [X17: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X17 )
              | ~ ( c3_1 @ X17 )
              | ( c1_1 @ X17 ) ) ) )
      & ( hskp11
        | ! [X18: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X18 )
              | ~ ( c3_1 @ X18 )
              | ~ ( c1_1 @ X18 ) ) )
        | hskp39 )
      & ( hskp12
        | ! [X19: $i] :
            ( ndr1_0
           => ( ~ ( c2_1 @ X19 )
              | ~ ( c1_1 @ X19 )
              | ~ ( c0_1 @ X19 ) ) )
        | ! [X20: $i] :
            ( ndr1_0
           => ( ~ ( c3_1 @ X20 )
              | ( c2_1 @ X20 )
              | ~ ( c0_1 @ X20 ) ) ) )
      & ( hskp40
        | hskp41
        | ! [X21: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X21 )
              | ( c1_1 @ X21 )
              | ~ ( c2_1 @ X21 ) ) ) )
      & ( hskp42
        | ! [X22: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X22 )
              | ( c0_1 @ X22 )
              | ~ ( c2_1 @ X22 ) ) )
        | ! [X23: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X23 )
              | ~ ( c3_1 @ X23 )
              | ( c2_1 @ X23 ) ) ) )
      & ( ! [X24: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X24 )
              | ( c2_1 @ X24 )
              | ~ ( c1_1 @ X24 ) ) )
        | ! [X25: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X25 )
              | ~ ( c0_1 @ X25 )
              | ~ ( c3_1 @ X25 ) ) )
        | hskp4 )
      & ( ! [X26: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X26 )
              | ~ ( c2_1 @ X26 )
              | ( c3_1 @ X26 ) ) )
        | hskp13
        | hskp43 )
      & ( ! [X27: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X27 )
              | ~ ( c2_1 @ X27 )
              | ~ ( c3_1 @ X27 ) ) )
        | ! [X28: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X28 )
              | ~ ( c3_1 @ X28 )
              | ~ ( c2_1 @ X28 ) ) )
        | hskp7 )
      & ( ! [X29: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X29 )
              | ( c3_1 @ X29 )
              | ( c2_1 @ X29 ) ) )
        | hskp44
        | hskp45 )
      & ( hskp46
        | hskp38
        | hskp14 )
      & ( ! [X30: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X30 )
              | ~ ( c2_1 @ X30 )
              | ( c1_1 @ X30 ) ) )
        | hskp47
        | ! [X31: $i] :
            ( ndr1_0
           => ( ~ ( c2_1 @ X31 )
              | ~ ( c0_1 @ X31 )
              | ( c3_1 @ X31 ) ) ) )
      & ( hskp10
        | ! [X32: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X32 )
              | ( c0_1 @ X32 )
              | ~ ( c2_1 @ X32 ) ) )
        | hskp43 )
      & ( ! [X33: $i] :
            ( ndr1_0
           => ( ~ ( c3_1 @ X33 )
              | ( c2_1 @ X33 )
              | ( c0_1 @ X33 ) ) )
        | hskp15
        | hskp33 )
      & ( ! [X34: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X34 )
              | ~ ( c1_1 @ X34 )
              | ( c3_1 @ X34 ) ) )
        | hskp36
        | hskp48 )
      & ( ! [X35: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X35 )
              | ( c3_1 @ X35 )
              | ( c2_1 @ X35 ) ) )
        | hskp42
        | hskp16 )
      & ( ! [X36: $i] :
            ( ndr1_0
           => ( ~ ( c3_1 @ X36 )
              | ( c2_1 @ X36 )
              | ~ ( c0_1 @ X36 ) ) )
        | ! [X37: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X37 )
              | ( c1_1 @ X37 )
              | ( c0_1 @ X37 ) ) )
        | hskp49 )
      & ( ! [X38: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X38 )
              | ( c2_1 @ X38 )
              | ( c0_1 @ X38 ) ) )
        | hskp1
        | ! [X39: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X39 )
              | ( c2_1 @ X39 )
              | ~ ( c0_1 @ X39 ) ) ) )
      & ( ! [X40: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X40 )
              | ( c3_1 @ X40 )
              | ( c0_1 @ X40 ) ) )
        | ! [X41: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X41 )
              | ~ ( c2_1 @ X41 )
              | ( c1_1 @ X41 ) ) )
        | ! [X42: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X42 )
              | ( c1_1 @ X42 )
              | ~ ( c2_1 @ X42 ) ) ) )
      & ( hskp7
        | ! [X43: $i] :
            ( ndr1_0
           => ( ~ ( c2_1 @ X43 )
              | ~ ( c1_1 @ X43 )
              | ( c3_1 @ X43 ) ) )
        | hskp12 )
      & ( ! [X44: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X44 )
              | ~ ( c2_1 @ X44 )
              | ~ ( c1_1 @ X44 ) ) )
        | hskp50
        | hskp51 )
      & ( ! [X45: $i] :
            ( ndr1_0
           => ( ~ ( c2_1 @ X45 )
              | ( c0_1 @ X45 )
              | ( c1_1 @ X45 ) ) )
        | ! [X46: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X46 )
              | ( c3_1 @ X46 )
              | ( c1_1 @ X46 ) ) )
        | ! [X47: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X47 )
              | ( c1_1 @ X47 )
              | ( c2_1 @ X47 ) ) ) )
      & ( hskp52
        | hskp34
        | ! [X48: $i] :
            ( ndr1_0
           => ( ~ ( c3_1 @ X48 )
              | ( c1_1 @ X48 )
              | ~ ( c0_1 @ X48 ) ) ) )
      & ( ! [X49: $i] :
            ( ndr1_0
           => ( ~ ( c2_1 @ X49 )
              | ~ ( c3_1 @ X49 )
              | ~ ( c0_1 @ X49 ) ) )
        | hskp53
        | ! [X50: $i] :
            ( ndr1_0
           => ( ~ ( c3_1 @ X50 )
              | ( c1_1 @ X50 )
              | ~ ( c2_1 @ X50 ) ) ) )
      & ( hskp54
        | hskp47
        | ! [X51: $i] :
            ( ndr1_0
           => ( ~ ( c3_1 @ X51 )
              | ~ ( c2_1 @ X51 )
              | ~ ( c1_1 @ X51 ) ) ) )
      & ( ! [X52: $i] :
            ( ndr1_0
           => ( ~ ( c2_1 @ X52 )
              | ~ ( c1_1 @ X52 )
              | ~ ( c3_1 @ X52 ) ) )
        | ! [X53: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X53 )
              | ~ ( c0_1 @ X53 )
              | ( c1_1 @ X53 ) ) )
        | ! [X54: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X54 )
              | ~ ( c1_1 @ X54 )
              | ( c3_1 @ X54 ) ) ) )
      & ( hskp39
        | hskp17
        | hskp18 )
      & ( hskp19
        | ! [X55: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X55 )
              | ~ ( c0_1 @ X55 )
              | ( c3_1 @ X55 ) ) )
        | hskp20 )
      & ( hskp55
        | ! [X56: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X56 )
              | ( c2_1 @ X56 )
              | ( c1_1 @ X56 ) ) )
        | hskp21 )
      & ( hskp22
        | ! [X57: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X57 )
              | ( c2_1 @ X57 )
              | ~ ( c3_1 @ X57 ) ) )
        | hskp56 )
      & ( ! [X58: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X58 )
              | ( c0_1 @ X58 )
              | ( c2_1 @ X58 ) ) )
        | ! [X59: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X59 )
              | ( c3_1 @ X59 )
              | ( c1_1 @ X59 ) ) )
        | ! [X60: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X60 )
              | ~ ( c1_1 @ X60 )
              | ( c2_1 @ X60 ) ) ) )
      & ( ! [X61: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X61 )
              | ~ ( c3_1 @ X61 )
              | ( c2_1 @ X61 ) ) )
        | ! [X62: $i] :
            ( ndr1_0
           => ( ~ ( c2_1 @ X62 )
              | ~ ( c3_1 @ X62 )
              | ( c1_1 @ X62 ) ) )
        | hskp57 )
      & ( ! [X63: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X63 )
              | ~ ( c1_1 @ X63 )
              | ~ ( c3_1 @ X63 ) ) )
        | ! [X64: $i] :
            ( ndr1_0
           => ( ~ ( c3_1 @ X64 )
              | ( c1_1 @ X64 )
              | ( c2_1 @ X64 ) ) )
        | hskp58 )
      & ( hskp33
        | hskp23
        | ! [X65: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X65 )
              | ~ ( c2_1 @ X65 )
              | ~ ( c3_1 @ X65 ) ) ) )
      & ( ! [X66: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X66 )
              | ~ ( c1_1 @ X66 )
              | ~ ( c3_1 @ X66 ) ) )
        | ! [X67: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X67 )
              | ( c0_1 @ X67 )
              | ( c3_1 @ X67 ) ) )
        | hskp24 )
      & ( ! [X68: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X68 )
              | ~ ( c2_1 @ X68 )
              | ~ ( c3_1 @ X68 ) ) )
        | hskp36
        | ! [X69: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X69 )
              | ( c0_1 @ X69 )
              | ~ ( c3_1 @ X69 ) ) ) )
      & ( ! [X70: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X70 )
              | ~ ( c1_1 @ X70 )
              | ( c0_1 @ X70 ) ) )
        | hskp25
        | ! [X71: $i] :
            ( ndr1_0
           => ( ~ ( c2_1 @ X71 )
              | ~ ( c1_1 @ X71 )
              | ~ ( c3_1 @ X71 ) ) ) )
      & ( hskp51
        | ! [X72: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X72 )
              | ~ ( c3_1 @ X72 )
              | ~ ( c2_1 @ X72 ) ) )
        | ! [X73: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X73 )
              | ~ ( c0_1 @ X73 )
              | ( c2_1 @ X73 ) ) ) )
      & ( hskp48
        | ! [X74: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X74 )
              | ( c2_1 @ X74 )
              | ( c1_1 @ X74 ) ) )
        | hskp14 )
      & ( ! [X75: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X75 )
              | ~ ( c2_1 @ X75 )
              | ~ ( c3_1 @ X75 ) ) )
        | ! [X76: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X76 )
              | ( c1_1 @ X76 )
              | ~ ( c2_1 @ X76 ) ) )
        | ! [X77: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X77 )
              | ( c1_1 @ X77 )
              | ( c2_1 @ X77 ) ) ) )
      & ( ! [X78: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X78 )
              | ~ ( c0_1 @ X78 )
              | ~ ( c2_1 @ X78 ) ) )
        | ! [X79: $i] :
            ( ndr1_0
           => ( ~ ( c2_1 @ X79 )
              | ~ ( c0_1 @ X79 )
              | ~ ( c3_1 @ X79 ) ) )
        | ! [X80: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X80 )
              | ~ ( c1_1 @ X80 )
              | ~ ( c2_1 @ X80 ) ) ) )
      & ( ! [X81: $i] :
            ( ndr1_0
           => ( ~ ( c3_1 @ X81 )
              | ( c2_1 @ X81 )
              | ~ ( c1_1 @ X81 ) ) )
        | hskp59
        | ! [X82: $i] :
            ( ndr1_0
           => ( ~ ( c3_1 @ X82 )
              | ( c0_1 @ X82 )
              | ( c2_1 @ X82 ) ) ) )
      & ( ! [X83: $i] :
            ( ndr1_0
           => ( ~ ( c2_1 @ X83 )
              | ~ ( c3_1 @ X83 )
              | ( c0_1 @ X83 ) ) )
        | ! [X84: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X84 )
              | ( c3_1 @ X84 )
              | ~ ( c1_1 @ X84 ) ) )
        | hskp35 )
      & ( ! [X85: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X85 )
              | ( c1_1 @ X85 )
              | ( c2_1 @ X85 ) ) )
        | hskp60
        | hskp26 )
      & ( ! [X86: $i] :
            ( ndr1_0
           => ( ~ ( c3_1 @ X86 )
              | ~ ( c1_1 @ X86 )
              | ( c0_1 @ X86 ) ) )
        | ! [X87: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X87 )
              | ( c3_1 @ X87 )
              | ( c2_1 @ X87 ) ) )
        | hskp61 )
      & ( hskp43
        | hskp27
        | hskp28 )
      & ( hskp62
        | hskp56
        | hskp63 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( ~ hskp0
      | ( ndr1_0
        & ( c0_1 @ a1020 )
        & ~ ( c1_1 @ a1020 )
        & ~ ( c2_1 @ a1020 ) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ( c2_1 @ a1023 )
        & ~ ( c1_1 @ a1023 )
        & ~ ( c0_1 @ a1023 ) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ( c2_1 @ a1024 )
        & ( c1_1 @ a1024 )
        & ~ ( c3_1 @ a1024 ) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ~ ( c0_1 @ a1025 )
        & ~ ( c3_1 @ a1025 )
        & ~ ( c2_1 @ a1025 ) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ( c0_1 @ a1026 )
        & ~ ( c2_1 @ a1026 )
        & ~ ( c1_1 @ a1026 ) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ( c1_1 @ a1027 )
        & ( c2_1 @ a1027 )
        & ~ ( c3_1 @ a1027 ) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ~ ( c2_1 @ a1030 )
        & ~ ( c3_1 @ a1030 )
        & ~ ( c0_1 @ a1030 ) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & ( c0_1 @ a1035 )
        & ( c1_1 @ a1035 )
        & ~ ( c2_1 @ a1035 ) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ( c0_1 @ a1036 )
        & ~ ( c3_1 @ a1036 )
        & ~ ( c1_1 @ a1036 ) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ~ ( c1_1 @ a1038 )
        & ( c2_1 @ a1038 )
        & ~ ( c0_1 @ a1038 ) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ( c1_1 @ a1039 )
        & ~ ( c2_1 @ a1039 )
        & ~ ( c0_1 @ a1039 ) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ~ ( c3_1 @ a1041 )
        & ( c1_1 @ a1041 )
        & ~ ( c2_1 @ a1041 ) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ~ ( c1_1 @ a1043 )
        & ( c0_1 @ a1043 )
        & ~ ( c3_1 @ a1043 ) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & ( c0_1 @ a1048 )
        & ( c3_1 @ a1048 )
        & ~ ( c2_1 @ a1048 ) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ~ ( c0_1 @ a1055 )
        & ~ ( c1_1 @ a1055 )
        & ~ ( c2_1 @ a1055 ) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & ( c3_1 @ a1059 )
        & ( c2_1 @ a1059 )
        & ~ ( c1_1 @ a1059 ) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & ( c2_1 @ a1064 )
        & ( c0_1 @ a1064 )
        & ~ ( c3_1 @ a1064 ) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ~ ( c0_1 @ a1077 )
        & ( c3_1 @ a1077 )
        & ~ ( c2_1 @ a1077 ) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ( c2_1 @ a1078 )
        & ( c0_1 @ a1078 )
        & ~ ( c1_1 @ a1078 ) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ( c1_1 @ a1079 )
        & ~ ( c0_1 @ a1079 )
        & ~ ( c2_1 @ a1079 ) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ~ ( c0_1 @ a1080 )
        & ~ ( c2_1 @ a1080 )
        & ~ ( c1_1 @ a1080 ) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & ~ ( c3_1 @ a1082 )
        & ~ ( c2_1 @ a1082 )
        & ~ ( c0_1 @ a1082 ) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ( c2_1 @ a1083 )
        & ( c3_1 @ a1083 )
        & ~ ( c1_1 @ a1083 ) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ( c1_1 @ a1088 )
        & ( c3_1 @ a1088 )
        & ~ ( c2_1 @ a1088 ) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ~ ( c2_1 @ a1089 )
        & ( c0_1 @ a1089 )
        & ~ ( c1_1 @ a1089 ) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ~ ( c3_1 @ a1091 )
        & ~ ( c0_1 @ a1091 )
        & ~ ( c2_1 @ a1091 ) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ~ ( c3_1 @ a1098 )
        & ( c1_1 @ a1098 )
        & ~ ( c0_1 @ a1098 ) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ( c3_1 @ a1101 )
        & ( c1_1 @ a1101 )
        & ~ ( c0_1 @ a1101 ) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & ~ ( c0_1 @ a1102 )
        & ( c2_1 @ a1102 )
        & ~ ( c1_1 @ a1102 ) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & ~ ( c1_1 @ a1021 )
        & ~ ( c3_1 @ a1021 )
        & ( c2_1 @ a1021 ) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & ~ ( c2_1 @ a1022 )
        & ( c3_1 @ a1022 )
        & ( c1_1 @ a1022 ) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & ( c0_1 @ a1028 )
        & ~ ( c1_1 @ a1028 )
        & ( c3_1 @ a1028 ) ) )
    & ( ~ hskp32
      | ( ndr1_0
        & ~ ( c0_1 @ a1029 )
        & ( c1_1 @ a1029 )
        & ( c2_1 @ a1029 ) ) )
    & ( ~ hskp33
      | ( ndr1_0
        & ( c3_1 @ a1031 )
        & ~ ( c1_1 @ a1031 )
        & ( c2_1 @ a1031 ) ) )
    & ( ~ hskp34
      | ( ndr1_0
        & ~ ( c2_1 @ a1032 )
        & ~ ( c1_1 @ a1032 )
        & ( c3_1 @ a1032 ) ) )
    & ( ~ hskp35
      | ( ndr1_0
        & ( c0_1 @ a1033 )
        & ( c1_1 @ a1033 )
        & ( c3_1 @ a1033 ) ) )
    & ( ~ hskp36
      | ( ndr1_0
        & ( c3_1 @ a1034 )
        & ~ ( c0_1 @ a1034 )
        & ( c1_1 @ a1034 ) ) )
    & ( ~ hskp37
      | ( ndr1_0
        & ~ ( c1_1 @ a1037 )
        & ( c0_1 @ a1037 )
        & ( c3_1 @ a1037 ) ) )
    & ( ~ hskp38
      | ( ndr1_0
        & ( c1_1 @ a1040 )
        & ( c3_1 @ a1040 )
        & ( c2_1 @ a1040 ) ) )
    & ( ~ hskp39
      | ( ndr1_0
        & ( c0_1 @ a1042 )
        & ~ ( c1_1 @ a1042 )
        & ( c2_1 @ a1042 ) ) )
    & ( ~ hskp40
      | ( ndr1_0
        & ~ ( c1_1 @ a1044 )
        & ( c3_1 @ a1044 )
        & ( c0_1 @ a1044 ) ) )
    & ( ~ hskp41
      | ( ndr1_0
        & ~ ( c1_1 @ a1045 )
        & ~ ( c0_1 @ a1045 )
        & ( c3_1 @ a1045 ) ) )
    & ( ~ hskp42
      | ( ndr1_0
        & ~ ( c2_1 @ a1046 )
        & ( c1_1 @ a1046 )
        & ( c0_1 @ a1046 ) ) )
    & ( ~ hskp43
      | ( ndr1_0
        & ( c0_1 @ a1049 )
        & ( c2_1 @ a1049 )
        & ( c1_1 @ a1049 ) ) )
    & ( ~ hskp44
      | ( ndr1_0
        & ( c1_1 @ a1051 )
        & ~ ( c2_1 @ a1051 )
        & ( c0_1 @ a1051 ) ) )
    & ( ~ hskp45
      | ( ndr1_0
        & ( c0_1 @ a1052 )
        & ( c3_1 @ a1052 )
        & ( c2_1 @ a1052 ) ) )
    & ( ~ hskp46
      | ( ndr1_0
        & ~ ( c1_1 @ a1053 )
        & ~ ( c2_1 @ a1053 )
        & ( c0_1 @ a1053 ) ) )
    & ( ~ hskp47
      | ( ndr1_0
        & ( c2_1 @ a1056 )
        & ( c1_1 @ a1056 )
        & ( c3_1 @ a1056 ) ) )
    & ( ~ hskp48
      | ( ndr1_0
        & ( c3_1 @ a1062 )
        & ( c2_1 @ a1062 )
        & ( c0_1 @ a1062 ) ) )
    & ( ~ hskp49
      | ( ndr1_0
        & ~ ( c0_1 @ a1065 )
        & ~ ( c2_1 @ a1065 )
        & ( c1_1 @ a1065 ) ) )
    & ( ~ hskp50
      | ( ndr1_0
        & ~ ( c0_1 @ a1069 )
        & ( c3_1 @ a1069 )
        & ( c1_1 @ a1069 ) ) )
    & ( ~ hskp51
      | ( ndr1_0
        & ( c2_1 @ a1070 )
        & ~ ( c1_1 @ a1070 )
        & ( c0_1 @ a1070 ) ) )
    & ( ~ hskp52
      | ( ndr1_0
        & ( c1_1 @ a1071 )
        & ( c0_1 @ a1071 )
        & ( c3_1 @ a1071 ) ) )
    & ( ~ hskp53
      | ( ndr1_0
        & ( c1_1 @ a1073 )
        & ( c2_1 @ a1073 )
        & ( c0_1 @ a1073 ) ) )
    & ( ~ hskp54
      | ( ndr1_0
        & ( c3_1 @ a1074 )
        & ( c0_1 @ a1074 )
        & ( c2_1 @ a1074 ) ) )
    & ( ~ hskp55
      | ( ndr1_0
        & ( c1_1 @ a1081 )
        & ~ ( c0_1 @ a1081 )
        & ( c3_1 @ a1081 ) ) )
    & ( ~ hskp56
      | ( ndr1_0
        & ~ ( c3_1 @ a1084 )
        & ~ ( c1_1 @ a1084 )
        & ( c0_1 @ a1084 ) ) )
    & ( ~ hskp57
      | ( ndr1_0
        & ( c2_1 @ a1085 )
        & ( c0_1 @ a1085 )
        & ( c3_1 @ a1085 ) ) )
    & ( ~ hskp58
      | ( ndr1_0
        & ~ ( c0_1 @ a1086 )
        & ( c2_1 @ a1086 )
        & ( c3_1 @ a1086 ) ) )
    & ( ~ hskp59
      | ( ndr1_0
        & ~ ( c0_1 @ a1095 )
        & ~ ( c3_1 @ a1095 )
        & ( c1_1 @ a1095 ) ) )
    & ( ~ hskp60
      | ( ndr1_0
        & ( c2_1 @ a1097 )
        & ~ ( c0_1 @ a1097 )
        & ( c3_1 @ a1097 ) ) )
    & ( ~ hskp61
      | ( ndr1_0
        & ~ ( c3_1 @ a1099 )
        & ~ ( c0_1 @ a1099 )
        & ( c2_1 @ a1099 ) ) )
    & ( ~ hskp62
      | ( ndr1_0
        & ( c2_1 @ a1103 )
        & ( c3_1 @ a1103 )
        & ( c1_1 @ a1103 ) ) )
    & ( ~ hskp63
      | ( ndr1_0
        & ~ ( c2_1 @ a1105 )
        & ( c1_1 @ a1105 )
        & ( c3_1 @ a1105 ) ) )
    & ( hskp0
      | hskp29
      | hskp30 )
    & ( ! [U: $i] :
          ( ndr1_0
         => ( ~ ( c3_1 @ U )
            | ( c2_1 @ U )
            | ( c1_1 @ U ) ) )
      | ! [V: $i] :
          ( ndr1_0
         => ( ( c1_1 @ V )
            | ~ ( c0_1 @ V )
            | ~ ( c2_1 @ V ) ) )
      | hskp1 )
    & ( hskp2
      | ! [W: $i] :
          ( ndr1_0
         => ( ( c3_1 @ W )
            | ( c2_1 @ W )
            | ( c0_1 @ W ) ) )
      | ! [X: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X )
            | ~ ( c1_1 @ X )
            | ~ ( c3_1 @ X ) ) ) )
    & ( ! [Y: $i] :
          ( ndr1_0
         => ( ( c2_1 @ Y )
            | ( c3_1 @ Y )
            | ( c0_1 @ Y ) ) )
      | hskp3
      | ! [Z: $i] :
          ( ndr1_0
         => ( ( c1_1 @ Z )
            | ~ ( c0_1 @ Z )
            | ( c2_1 @ Z ) ) ) )
    & ( hskp4
      | hskp5
      | ! [X1: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X1 )
            | ~ ( c2_1 @ X1 )
            | ( c3_1 @ X1 ) ) ) )
    & ( hskp31
      | ! [X2: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X2 )
            | ~ ( c1_1 @ X2 )
            | ( c2_1 @ X2 ) ) )
      | ! [X3: $i] :
          ( ndr1_0
         => ( ~ ( c2_1 @ X3 )
            | ( c1_1 @ X3 )
            | ( c3_1 @ X3 ) ) ) )
    & ( ! [X4: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X4 )
            | ~ ( c0_1 @ X4 )
            | ( c3_1 @ X4 ) ) )
      | hskp32
      | hskp6 )
    & ( hskp33
      | ! [X5: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X5 )
            | ( c2_1 @ X5 )
            | ( c0_1 @ X5 ) ) )
      | ! [X6: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X6 )
            | ~ ( c3_1 @ X6 )
            | ~ ( c2_1 @ X6 ) ) ) )
    & ( ! [X7: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X7 )
            | ~ ( c1_1 @ X7 )
            | ( c3_1 @ X7 ) ) )
      | ! [X8: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X8 )
            | ( c1_1 @ X8 )
            | ~ ( c0_1 @ X8 ) ) )
      | hskp34 )
    & ( ! [X9: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X9 )
            | ( c0_1 @ X9 )
            | ( c3_1 @ X9 ) ) )
      | hskp35
      | ! [X10: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X10 )
            | ( c2_1 @ X10 )
            | ~ ( c3_1 @ X10 ) ) ) )
    & ( ! [X11: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X11 )
            | ~ ( c1_1 @ X11 )
            | ( c0_1 @ X11 ) ) )
      | hskp36
      | hskp7 )
    & ( ! [X12: $i] :
          ( ndr1_0
         => ( ~ ( c3_1 @ X12 )
            | ~ ( c1_1 @ X12 )
            | ( c0_1 @ X12 ) ) )
      | hskp8
      | hskp37 )
    & ( ! [X13: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X13 )
            | ( c3_1 @ X13 )
            | ( c2_1 @ X13 ) ) )
      | hskp9
      | ! [X14: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X14 )
            | ~ ( c3_1 @ X14 )
            | ( c1_1 @ X14 ) ) ) )
    & ( ! [X15: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X15 )
            | ( c2_1 @ X15 )
            | ( c0_1 @ X15 ) ) )
      | hskp10 )
    & ( ! [X16: $i] :
          ( ndr1_0
         => ( ~ ( c3_1 @ X16 )
            | ( c2_1 @ X16 )
            | ~ ( c0_1 @ X16 ) ) )
      | hskp38
      | ! [X17: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X17 )
            | ~ ( c3_1 @ X17 )
            | ( c1_1 @ X17 ) ) ) )
    & ( hskp11
      | ! [X18: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X18 )
            | ~ ( c3_1 @ X18 )
            | ~ ( c1_1 @ X18 ) ) )
      | hskp39 )
    & ( hskp12
      | ! [X19: $i] :
          ( ndr1_0
         => ( ~ ( c2_1 @ X19 )
            | ~ ( c1_1 @ X19 )
            | ~ ( c0_1 @ X19 ) ) )
      | ! [X20: $i] :
          ( ndr1_0
         => ( ~ ( c3_1 @ X20 )
            | ( c2_1 @ X20 )
            | ~ ( c0_1 @ X20 ) ) ) )
    & ( hskp40
      | hskp41
      | ! [X21: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X21 )
            | ( c1_1 @ X21 )
            | ~ ( c2_1 @ X21 ) ) ) )
    & ( hskp42
      | ! [X22: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X22 )
            | ( c0_1 @ X22 )
            | ~ ( c2_1 @ X22 ) ) )
      | ! [X23: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X23 )
            | ~ ( c3_1 @ X23 )
            | ( c2_1 @ X23 ) ) ) )
    & ( ! [X24: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X24 )
            | ( c2_1 @ X24 )
            | ~ ( c1_1 @ X24 ) ) )
      | ! [X25: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X25 )
            | ~ ( c0_1 @ X25 )
            | ~ ( c3_1 @ X25 ) ) )
      | hskp4 )
    & ( ! [X26: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X26 )
            | ~ ( c2_1 @ X26 )
            | ( c3_1 @ X26 ) ) )
      | hskp13
      | hskp43 )
    & ( ! [X27: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X27 )
            | ~ ( c2_1 @ X27 )
            | ~ ( c3_1 @ X27 ) ) )
      | ! [X28: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X28 )
            | ~ ( c3_1 @ X28 )
            | ~ ( c2_1 @ X28 ) ) )
      | hskp7 )
    & ( ! [X29: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X29 )
            | ( c3_1 @ X29 )
            | ( c2_1 @ X29 ) ) )
      | hskp44
      | hskp45 )
    & ( hskp46
      | hskp38
      | hskp14 )
    & ( ! [X30: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X30 )
            | ~ ( c2_1 @ X30 )
            | ( c1_1 @ X30 ) ) )
      | hskp47
      | ! [X31: $i] :
          ( ndr1_0
         => ( ~ ( c2_1 @ X31 )
            | ~ ( c0_1 @ X31 )
            | ( c3_1 @ X31 ) ) ) )
    & ( hskp10
      | ! [X32: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X32 )
            | ( c0_1 @ X32 )
            | ~ ( c2_1 @ X32 ) ) )
      | hskp43 )
    & ( ! [X33: $i] :
          ( ndr1_0
         => ( ~ ( c3_1 @ X33 )
            | ( c2_1 @ X33 )
            | ( c0_1 @ X33 ) ) )
      | hskp15
      | hskp33 )
    & ( ! [X34: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X34 )
            | ~ ( c1_1 @ X34 )
            | ( c3_1 @ X34 ) ) )
      | hskp36
      | hskp48 )
    & ( ! [X35: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X35 )
            | ( c3_1 @ X35 )
            | ( c2_1 @ X35 ) ) )
      | hskp42
      | hskp16 )
    & ( ! [X36: $i] :
          ( ndr1_0
         => ( ~ ( c3_1 @ X36 )
            | ( c2_1 @ X36 )
            | ~ ( c0_1 @ X36 ) ) )
      | ! [X37: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X37 )
            | ( c1_1 @ X37 )
            | ( c0_1 @ X37 ) ) )
      | hskp49 )
    & ( ! [X38: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X38 )
            | ( c2_1 @ X38 )
            | ( c0_1 @ X38 ) ) )
      | hskp1
      | ! [X39: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X39 )
            | ( c2_1 @ X39 )
            | ~ ( c0_1 @ X39 ) ) ) )
    & ( ! [X40: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X40 )
            | ( c3_1 @ X40 )
            | ( c0_1 @ X40 ) ) )
      | ! [X41: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X41 )
            | ~ ( c2_1 @ X41 )
            | ( c1_1 @ X41 ) ) )
      | ! [X42: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X42 )
            | ( c1_1 @ X42 )
            | ~ ( c2_1 @ X42 ) ) ) )
    & ( hskp7
      | ! [X43: $i] :
          ( ndr1_0
         => ( ~ ( c2_1 @ X43 )
            | ~ ( c1_1 @ X43 )
            | ( c3_1 @ X43 ) ) )
      | hskp12 )
    & ( ! [X44: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X44 )
            | ~ ( c2_1 @ X44 )
            | ~ ( c1_1 @ X44 ) ) )
      | hskp50
      | hskp51 )
    & ( ! [X45: $i] :
          ( ndr1_0
         => ( ~ ( c2_1 @ X45 )
            | ( c0_1 @ X45 )
            | ( c1_1 @ X45 ) ) )
      | ! [X46: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X46 )
            | ( c3_1 @ X46 )
            | ( c1_1 @ X46 ) ) )
      | ! [X47: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X47 )
            | ( c1_1 @ X47 )
            | ( c2_1 @ X47 ) ) ) )
    & ( hskp52
      | hskp34
      | ! [X48: $i] :
          ( ndr1_0
         => ( ~ ( c3_1 @ X48 )
            | ( c1_1 @ X48 )
            | ~ ( c0_1 @ X48 ) ) ) )
    & ( ! [X49: $i] :
          ( ndr1_0
         => ( ~ ( c2_1 @ X49 )
            | ~ ( c3_1 @ X49 )
            | ~ ( c0_1 @ X49 ) ) )
      | hskp53
      | ! [X50: $i] :
          ( ndr1_0
         => ( ~ ( c3_1 @ X50 )
            | ( c1_1 @ X50 )
            | ~ ( c2_1 @ X50 ) ) ) )
    & ( hskp54
      | hskp47
      | ! [X51: $i] :
          ( ndr1_0
         => ( ~ ( c3_1 @ X51 )
            | ~ ( c2_1 @ X51 )
            | ~ ( c1_1 @ X51 ) ) ) )
    & ( ! [X52: $i] :
          ( ndr1_0
         => ( ~ ( c2_1 @ X52 )
            | ~ ( c1_1 @ X52 )
            | ~ ( c3_1 @ X52 ) ) )
      | ! [X53: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X53 )
            | ~ ( c0_1 @ X53 )
            | ( c1_1 @ X53 ) ) )
      | ! [X54: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X54 )
            | ~ ( c1_1 @ X54 )
            | ( c3_1 @ X54 ) ) ) )
    & ( hskp39
      | hskp17
      | hskp18 )
    & ( hskp19
      | ! [X55: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X55 )
            | ~ ( c0_1 @ X55 )
            | ( c3_1 @ X55 ) ) )
      | hskp20 )
    & ( hskp55
      | ! [X56: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X56 )
            | ( c2_1 @ X56 )
            | ( c1_1 @ X56 ) ) )
      | hskp21 )
    & ( hskp22
      | ! [X57: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X57 )
            | ( c2_1 @ X57 )
            | ~ ( c3_1 @ X57 ) ) )
      | hskp56 )
    & ( ! [X58: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X58 )
            | ( c0_1 @ X58 )
            | ( c2_1 @ X58 ) ) )
      | ! [X59: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X59 )
            | ( c3_1 @ X59 )
            | ( c1_1 @ X59 ) ) )
      | ! [X60: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X60 )
            | ~ ( c1_1 @ X60 )
            | ( c2_1 @ X60 ) ) ) )
    & ( ! [X61: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X61 )
            | ~ ( c3_1 @ X61 )
            | ( c2_1 @ X61 ) ) )
      | ! [X62: $i] :
          ( ndr1_0
         => ( ~ ( c2_1 @ X62 )
            | ~ ( c3_1 @ X62 )
            | ( c1_1 @ X62 ) ) )
      | hskp57 )
    & ( ! [X63: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X63 )
            | ~ ( c1_1 @ X63 )
            | ~ ( c3_1 @ X63 ) ) )
      | ! [X64: $i] :
          ( ndr1_0
         => ( ~ ( c3_1 @ X64 )
            | ( c1_1 @ X64 )
            | ( c2_1 @ X64 ) ) )
      | hskp58 )
    & ( hskp33
      | hskp23
      | ! [X65: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X65 )
            | ~ ( c2_1 @ X65 )
            | ~ ( c3_1 @ X65 ) ) ) )
    & ( ! [X66: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X66 )
            | ~ ( c1_1 @ X66 )
            | ~ ( c3_1 @ X66 ) ) )
      | ! [X67: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X67 )
            | ( c0_1 @ X67 )
            | ( c3_1 @ X67 ) ) )
      | hskp24 )
    & ( ! [X68: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X68 )
            | ~ ( c2_1 @ X68 )
            | ~ ( c3_1 @ X68 ) ) )
      | hskp36
      | ! [X69: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X69 )
            | ( c0_1 @ X69 )
            | ~ ( c3_1 @ X69 ) ) ) )
    & ( ! [X70: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X70 )
            | ~ ( c1_1 @ X70 )
            | ( c0_1 @ X70 ) ) )
      | hskp25
      | ! [X71: $i] :
          ( ndr1_0
         => ( ~ ( c2_1 @ X71 )
            | ~ ( c1_1 @ X71 )
            | ~ ( c3_1 @ X71 ) ) ) )
    & ( hskp51
      | ! [X72: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X72 )
            | ~ ( c3_1 @ X72 )
            | ~ ( c2_1 @ X72 ) ) )
      | ! [X73: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X73 )
            | ~ ( c0_1 @ X73 )
            | ( c2_1 @ X73 ) ) ) )
    & ( hskp48
      | ! [X74: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X74 )
            | ( c2_1 @ X74 )
            | ( c1_1 @ X74 ) ) )
      | hskp14 )
    & ( ! [X75: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X75 )
            | ~ ( c2_1 @ X75 )
            | ~ ( c3_1 @ X75 ) ) )
      | ! [X76: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X76 )
            | ( c1_1 @ X76 )
            | ~ ( c2_1 @ X76 ) ) )
      | ! [X77: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X77 )
            | ( c1_1 @ X77 )
            | ( c2_1 @ X77 ) ) ) )
    & ( ! [X78: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X78 )
            | ~ ( c0_1 @ X78 )
            | ~ ( c2_1 @ X78 ) ) )
      | ! [X79: $i] :
          ( ndr1_0
         => ( ~ ( c2_1 @ X79 )
            | ~ ( c0_1 @ X79 )
            | ~ ( c3_1 @ X79 ) ) )
      | ! [X80: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X80 )
            | ~ ( c1_1 @ X80 )
            | ~ ( c2_1 @ X80 ) ) ) )
    & ( ! [X81: $i] :
          ( ndr1_0
         => ( ~ ( c3_1 @ X81 )
            | ( c2_1 @ X81 )
            | ~ ( c1_1 @ X81 ) ) )
      | hskp59
      | ! [X82: $i] :
          ( ndr1_0
         => ( ~ ( c3_1 @ X82 )
            | ( c0_1 @ X82 )
            | ( c2_1 @ X82 ) ) ) )
    & ( ! [X83: $i] :
          ( ndr1_0
         => ( ~ ( c2_1 @ X83 )
            | ~ ( c3_1 @ X83 )
            | ( c0_1 @ X83 ) ) )
      | ! [X84: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X84 )
            | ( c3_1 @ X84 )
            | ~ ( c1_1 @ X84 ) ) )
      | hskp35 )
    & ( ! [X85: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X85 )
            | ( c1_1 @ X85 )
            | ( c2_1 @ X85 ) ) )
      | hskp60
      | hskp26 )
    & ( ! [X86: $i] :
          ( ndr1_0
         => ( ~ ( c3_1 @ X86 )
            | ~ ( c1_1 @ X86 )
            | ( c0_1 @ X86 ) ) )
      | ! [X87: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X87 )
            | ( c3_1 @ X87 )
            | ( c2_1 @ X87 ) ) )
      | hskp61 )
    & ( hskp43
      | hskp27
      | hskp28 )
    & ( hskp62
      | hskp56
      | hskp63 ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl154,plain,
    ( ~ hskp40
    | ( c3_1 @ a1044 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl738,plain,
    ( ( c3_1 @ a1044 )
   <= ( c3_1 @ a1044 ) ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl15,plain,
    ! [X25: $i,X26: $i] :
      ( ~ ( c0_1 @ X25 )
      | ~ ( c3_1 @ X25 )
      | ( c2_1 @ X25 )
      | ~ ndr1_0
      | ~ ( c2_1 @ X26 )
      | ~ ( c3_1 @ X26 )
      | ( c1_1 @ X26 )
      | ~ ndr1_0
      | hskp57 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl374,plain,
    ( ! [X26: $i] :
        ( ~ ( c2_1 @ X26 )
        | ~ ( c3_1 @ X26 )
        | ( c1_1 @ X26 ) )
   <= ! [X26: $i] :
        ( ~ ( c2_1 @ X26 )
        | ~ ( c3_1 @ X26 )
        | ( c1_1 @ X26 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl4134,plain,
    ( ( ~ ( c2_1 @ a1044 )
      | ( c1_1 @ a1044 ) )
   <= ( ! [X26: $i] :
          ( ~ ( c2_1 @ X26 )
          | ~ ( c3_1 @ X26 )
          | ( c1_1 @ X26 ) )
      & ( c3_1 @ a1044 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl738,zip_derived_cl374]) ).

thf('0',plain,
    ( ~ ( c2_1 @ a1044 )
    | ( c1_1 @ a1044 )
    | ~ ! [X26: $i] :
          ( ~ ( c2_1 @ X26 )
          | ~ ( c3_1 @ X26 )
          | ( c1_1 @ X26 ) )
    | ~ ( c3_1 @ a1044 ) ),
    inference(split,[status(esa)],[zip_derived_cl4134]) ).

thf(zip_derived_cl204,plain,
    ( ~ hskp27
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('1',plain,
    ( ndr1_0
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl204]) ).

thf(zip_derived_cl221,plain,
    ( ~ hskp23
    | ( c1_1 @ a1088 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('2',plain,
    ( ( c1_1 @ a1088 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl221]) ).

thf(zip_derived_cl222,plain,
    ( ~ hskp23
    | ( c3_1 @ a1088 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl874,plain,
    ( ( c3_1 @ a1088 )
   <= ( c3_1 @ a1088 ) ),
    inference(split,[status(esa)],[zip_derived_cl222]) ).

thf(zip_derived_cl5,plain,
    ! [X5: $i,X6: $i] :
      ( ~ ( c3_1 @ X5 )
      | ( c2_1 @ X5 )
      | ~ ( c1_1 @ X5 )
      | ~ ndr1_0
      | hskp59
      | ~ ( c3_1 @ X6 )
      | ( c0_1 @ X6 )
      | ( c2_1 @ X6 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl335,plain,
    ( ! [X5: $i] :
        ( ~ ( c3_1 @ X5 )
        | ( c2_1 @ X5 )
        | ~ ( c1_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ~ ( c3_1 @ X5 )
        | ( c2_1 @ X5 )
        | ~ ( c1_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl4571,plain,
    ( ( ( c2_1 @ a1088 )
      | ~ ( c1_1 @ a1088 ) )
   <= ( ! [X5: $i] :
          ( ~ ( c3_1 @ X5 )
          | ( c2_1 @ X5 )
          | ~ ( c1_1 @ X5 ) )
      & ( c3_1 @ a1088 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl874,zip_derived_cl335]) ).

thf('3',plain,
    ( ~ ! [X5: $i] :
          ( ~ ( c3_1 @ X5 )
          | ( c2_1 @ X5 )
          | ~ ( c1_1 @ X5 ) )
    | ~ ( c1_1 @ a1088 )
    | ( c2_1 @ a1088 )
    | ~ ( c3_1 @ a1088 ) ),
    inference(split,[status(esa)],[zip_derived_cl4571]) ).

thf(zip_derived_cl126,plain,
    ( ~ hskp47
    | ( c1_1 @ a1056 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl682,plain,
    ( ( c1_1 @ a1056 )
   <= ( c1_1 @ a1056 ) ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl26,plain,
    ! [X43: $i] :
      ( ( c0_1 @ X43 )
      | ~ ( c2_1 @ X43 )
      | ~ ( c1_1 @ X43 )
      | ~ ndr1_0
      | hskp50
      | hskp51 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl417,plain,
    ( ! [X43: $i] :
        ( ( c0_1 @ X43 )
        | ~ ( c2_1 @ X43 )
        | ~ ( c1_1 @ X43 ) )
   <= ! [X43: $i] :
        ( ( c0_1 @ X43 )
        | ~ ( c2_1 @ X43 )
        | ~ ( c1_1 @ X43 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl3897,plain,
    ( ( ( c0_1 @ a1056 )
      | ~ ( c2_1 @ a1056 ) )
   <= ( ! [X43: $i] :
          ( ( c0_1 @ X43 )
          | ~ ( c2_1 @ X43 )
          | ~ ( c1_1 @ X43 ) )
      & ( c1_1 @ a1056 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl682,zip_derived_cl417]) ).

thf('4',plain,
    ( ~ ! [X43: $i] :
          ( ( c0_1 @ X43 )
          | ~ ( c2_1 @ X43 )
          | ~ ( c1_1 @ X43 ) )
    | ~ ( c2_1 @ a1056 )
    | ~ ( c1_1 @ a1056 )
    | ( c0_1 @ a1056 ) ),
    inference(split,[status(esa)],[zip_derived_cl3897]) ).

thf(zip_derived_cl874_001,plain,
    ( ( c3_1 @ a1088 )
   <= ( c3_1 @ a1088 ) ),
    inference(split,[status(esa)],[zip_derived_cl222]) ).

thf(zip_derived_cl334,plain,
    ( ! [X6: $i] :
        ( ~ ( c3_1 @ X6 )
        | ( c0_1 @ X6 )
        | ( c2_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ~ ( c3_1 @ X6 )
        | ( c0_1 @ X6 )
        | ( c2_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl4572,plain,
    ( ( ( c0_1 @ a1088 )
      | ( c2_1 @ a1088 ) )
   <= ( ! [X6: $i] :
          ( ~ ( c3_1 @ X6 )
          | ( c0_1 @ X6 )
          | ( c2_1 @ X6 ) )
      & ( c3_1 @ a1088 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl874,zip_derived_cl334]) ).

thf('5',plain,
    ( ( c0_1 @ a1088 )
    | ( c2_1 @ a1088 )
    | ~ ! [X6: $i] :
          ( ~ ( c3_1 @ X6 )
          | ( c0_1 @ X6 )
          | ( c2_1 @ X6 ) )
    | ~ ( c3_1 @ a1088 ) ),
    inference(split,[status(esa)],[zip_derived_cl4572]) ).

thf('6',plain,
    ( ( c3_1 @ a1088 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl222]) ).

thf(zip_derived_cl13,plain,
    ! [X22: $i] :
      ( hskp33
      | hskp23
      | ~ ( c0_1 @ X22 )
      | ~ ( c2_1 @ X22 )
      | ~ ( c3_1 @ X22 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('7',plain,
    ( hskp23
    | hskp33
    | ~ ndr1_0
    | ! [X8: $i] :
        ( ~ ( c2_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c3_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl223,plain,
    ( ~ hskp23
    | ~ ( c2_1 @ a1088 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('8',plain,
    ( ~ ( c2_1 @ a1088 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl223]) ).

thf(zip_derived_cl874_002,plain,
    ( ( c3_1 @ a1088 )
   <= ( c3_1 @ a1088 ) ),
    inference(split,[status(esa)],[zip_derived_cl222]) ).

thf(zip_derived_cl375,plain,
    ( ! [X25: $i] :
        ( ~ ( c0_1 @ X25 )
        | ~ ( c3_1 @ X25 )
        | ( c2_1 @ X25 ) )
   <= ! [X25: $i] :
        ( ~ ( c0_1 @ X25 )
        | ~ ( c3_1 @ X25 )
        | ( c2_1 @ X25 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl4576,plain,
    ( ( ~ ( c0_1 @ a1088 )
      | ( c2_1 @ a1088 ) )
   <= ( ! [X25: $i] :
          ( ~ ( c0_1 @ X25 )
          | ~ ( c3_1 @ X25 )
          | ( c2_1 @ X25 ) )
      & ( c3_1 @ a1088 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl874,zip_derived_cl375]) ).

thf('9',plain,
    ( ~ ! [X25: $i] :
          ( ~ ( c0_1 @ X25 )
          | ~ ( c3_1 @ X25 )
          | ( c2_1 @ X25 ) )
    | ( c2_1 @ a1088 )
    | ~ ( c3_1 @ a1088 )
    | ~ ( c0_1 @ a1088 ) ),
    inference(split,[status(esa)],[zip_derived_cl4576]) ).

thf(zip_derived_cl267,plain,
    ( ~ hskp12
    | ~ ( c3_1 @ a1043 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl964,plain,
    ( ~ ( c3_1 @ a1043 )
   <= ~ ( c3_1 @ a1043 ) ),
    inference(split,[status(esa)],[zip_derived_cl267]) ).

thf(zip_derived_cl7,plain,
    ! [X10: $i,X11: $i,X12: $i] :
      ( ( c0_1 @ X10 )
      | ~ ( c2_1 @ X10 )
      | ~ ( c3_1 @ X10 )
      | ~ ndr1_0
      | ( c3_1 @ X11 )
      | ( c1_1 @ X11 )
      | ~ ( c2_1 @ X11 )
      | ~ ndr1_0
      | ( c0_1 @ X12 )
      | ( c1_1 @ X12 )
      | ( c2_1 @ X12 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl343,plain,
    ( ! [X11: $i] :
        ( ( c3_1 @ X11 )
        | ( c1_1 @ X11 )
        | ~ ( c2_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c3_1 @ X11 )
        | ( c1_1 @ X11 )
        | ~ ( c2_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl2930,plain,
    ( ( ( c1_1 @ a1043 )
      | ~ ( c2_1 @ a1043 ) )
   <= ( ~ ( c3_1 @ a1043 )
      & ! [X11: $i] :
          ( ( c3_1 @ X11 )
          | ( c1_1 @ X11 )
          | ~ ( c2_1 @ X11 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl964,zip_derived_cl343]) ).

thf('10',plain,
    ( ~ ! [X11: $i] :
          ( ( c3_1 @ X11 )
          | ( c1_1 @ X11 )
          | ~ ( c2_1 @ X11 ) )
    | ~ ( c2_1 @ a1043 )
    | ( c3_1 @ a1043 )
    | ( c1_1 @ a1043 ) ),
    inference(split,[status(esa)],[zip_derived_cl2930]) ).

thf(zip_derived_cl964_003,plain,
    ( ~ ( c3_1 @ a1043 )
   <= ~ ( c3_1 @ a1043 ) ),
    inference(split,[status(esa)],[zip_derived_cl267]) ).

thf(zip_derived_cl25,plain,
    ! [X40: $i,X41: $i,X42: $i] :
      ( ~ ( c2_1 @ X40 )
      | ( c0_1 @ X40 )
      | ( c1_1 @ X40 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X41 )
      | ( c3_1 @ X41 )
      | ( c1_1 @ X41 )
      | ~ ndr1_0
      | ( c3_1 @ X42 )
      | ( c1_1 @ X42 )
      | ( c2_1 @ X42 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl413,plain,
    ( ! [X42: $i] :
        ( ( c3_1 @ X42 )
        | ( c1_1 @ X42 )
        | ( c2_1 @ X42 ) )
   <= ! [X42: $i] :
        ( ( c3_1 @ X42 )
        | ( c1_1 @ X42 )
        | ( c2_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl2934,plain,
    ( ( ( c1_1 @ a1043 )
      | ( c2_1 @ a1043 ) )
   <= ( ~ ( c3_1 @ a1043 )
      & ! [X42: $i] :
          ( ( c3_1 @ X42 )
          | ( c1_1 @ X42 )
          | ( c2_1 @ X42 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl964,zip_derived_cl413]) ).

thf('11',plain,
    ( ( c2_1 @ a1043 )
    | ( c3_1 @ a1043 )
    | ~ ! [X42: $i] :
          ( ( c3_1 @ X42 )
          | ( c1_1 @ X42 )
          | ( c2_1 @ X42 ) )
    | ( c1_1 @ a1043 ) ),
    inference(split,[status(esa)],[zip_derived_cl2934]) ).

thf(zip_derived_cl964_004,plain,
    ( ~ ( c3_1 @ a1043 )
   <= ~ ( c3_1 @ a1043 ) ),
    inference(split,[status(esa)],[zip_derived_cl267]) ).

thf(zip_derived_cl19,plain,
    ! [X32: $i] :
      ( hskp19
      | ( c1_1 @ X32 )
      | ~ ( c0_1 @ X32 )
      | ( c3_1 @ X32 )
      | ~ ndr1_0
      | hskp20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl390,plain,
    ( ! [X32: $i] :
        ( ( c1_1 @ X32 )
        | ~ ( c0_1 @ X32 )
        | ( c3_1 @ X32 ) )
   <= ! [X32: $i] :
        ( ( c1_1 @ X32 )
        | ~ ( c0_1 @ X32 )
        | ( c3_1 @ X32 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl2932,plain,
    ( ( ( c1_1 @ a1043 )
      | ~ ( c0_1 @ a1043 ) )
   <= ( ~ ( c3_1 @ a1043 )
      & ! [X32: $i] :
          ( ( c1_1 @ X32 )
          | ~ ( c0_1 @ X32 )
          | ( c3_1 @ X32 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl964,zip_derived_cl390]) ).

thf('12',plain,
    ( ~ ! [X32: $i] :
          ( ( c1_1 @ X32 )
          | ~ ( c0_1 @ X32 )
          | ( c3_1 @ X32 ) )
    | ( c1_1 @ a1043 )
    | ( c3_1 @ a1043 )
    | ~ ( c0_1 @ a1043 ) ),
    inference(split,[status(esa)],[zip_derived_cl2932]) ).

thf(zip_derived_cl265,plain,
    ( ~ hskp12
    | ~ ( c1_1 @ a1043 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('13',plain,
    ( ~ ( c1_1 @ a1043 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl265]) ).

thf(zip_derived_cl266,plain,
    ( ~ hskp12
    | ( c0_1 @ a1043 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('14',plain,
    ( ( c0_1 @ a1043 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl266]) ).

thf('15',plain,
    ( ~ ( c3_1 @ a1043 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl267]) ).

thf(zip_derived_cl43,plain,
    ! [X67: $i,X68: $i] :
      ( hskp12
      | ~ ( c2_1 @ X67 )
      | ~ ( c1_1 @ X67 )
      | ~ ( c0_1 @ X67 )
      | ~ ndr1_0
      | ~ ( c3_1 @ X68 )
      | ( c2_1 @ X68 )
      | ~ ( c0_1 @ X68 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('16',plain,
    ( hskp12
    | ! [X9: $i] :
        ( ~ ( c0_1 @ X9 )
        | ~ ( c1_1 @ X9 )
        | ~ ( c2_1 @ X9 ) )
    | ~ ndr1_0
    | ! [X25: $i] :
        ( ~ ( c0_1 @ X25 )
        | ~ ( c3_1 @ X25 )
        | ( c2_1 @ X25 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl162,plain,
    ( ~ hskp38
    | ( c3_1 @ a1040 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl754,plain,
    ( ( c3_1 @ a1040 )
   <= ( c3_1 @ a1040 ) ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf(zip_derived_cl4,plain,
    ! [X3: $i,X4: $i] :
      ( ~ ( c2_1 @ X3 )
      | ~ ( c3_1 @ X3 )
      | ( c0_1 @ X3 )
      | ~ ndr1_0
      | ( c2_1 @ X4 )
      | ( c3_1 @ X4 )
      | ~ ( c1_1 @ X4 )
      | ~ ndr1_0
      | hskp35 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl331,plain,
    ( ! [X3: $i] :
        ( ~ ( c2_1 @ X3 )
        | ~ ( c3_1 @ X3 )
        | ( c0_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ~ ( c2_1 @ X3 )
        | ~ ( c3_1 @ X3 )
        | ( c0_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf(zip_derived_cl4209,plain,
    ( ( ~ ( c2_1 @ a1040 )
      | ( c0_1 @ a1040 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c2_1 @ X3 )
          | ~ ( c3_1 @ X3 )
          | ( c0_1 @ X3 ) )
      & ( c3_1 @ a1040 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl754,zip_derived_cl331]) ).

thf('17',plain,
    ( ~ ! [X3: $i] :
          ( ~ ( c2_1 @ X3 )
          | ~ ( c3_1 @ X3 )
          | ( c0_1 @ X3 ) )
    | ( c0_1 @ a1040 )
    | ~ ( c3_1 @ a1040 )
    | ~ ( c2_1 @ a1040 ) ),
    inference(split,[status(esa)],[zip_derived_cl4209]) ).

thf(zip_derived_cl161,plain,
    ( ~ hskp38
    | ( c1_1 @ a1040 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl752,plain,
    ( ( c1_1 @ a1040 )
   <= ( c1_1 @ a1040 ) ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl417_005,plain,
    ( ! [X43: $i] :
        ( ( c0_1 @ X43 )
        | ~ ( c2_1 @ X43 )
        | ~ ( c1_1 @ X43 ) )
   <= ! [X43: $i] :
        ( ( c0_1 @ X43 )
        | ~ ( c2_1 @ X43 )
        | ~ ( c1_1 @ X43 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl4199,plain,
    ( ( ( c0_1 @ a1040 )
      | ~ ( c2_1 @ a1040 ) )
   <= ( ! [X43: $i] :
          ( ( c0_1 @ X43 )
          | ~ ( c2_1 @ X43 )
          | ~ ( c1_1 @ X43 ) )
      & ( c1_1 @ a1040 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl752,zip_derived_cl417]) ).

thf('18',plain,
    ( ~ ! [X43: $i] :
          ( ( c0_1 @ X43 )
          | ~ ( c2_1 @ X43 )
          | ~ ( c1_1 @ X43 ) )
    | ( c0_1 @ a1040 )
    | ~ ( c2_1 @ a1040 )
    | ~ ( c1_1 @ a1040 ) ),
    inference(split,[status(esa)],[zip_derived_cl4199]) ).

thf(zip_derived_cl754_006,plain,
    ( ( c3_1 @ a1040 )
   <= ( c3_1 @ a1040 ) ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf(zip_derived_cl6,plain,
    ! [X7: $i,X8: $i,X9: $i] :
      ( ~ ( c1_1 @ X7 )
      | ~ ( c0_1 @ X7 )
      | ~ ( c2_1 @ X7 )
      | ~ ndr1_0
      | ~ ( c2_1 @ X8 )
      | ~ ( c0_1 @ X8 )
      | ~ ( c3_1 @ X8 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X9 )
      | ~ ( c1_1 @ X9 )
      | ~ ( c2_1 @ X9 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl339,plain,
    ( ! [X8: $i] :
        ( ~ ( c2_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c3_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ~ ( c2_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c3_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl4212,plain,
    ( ( ~ ( c2_1 @ a1040 )
      | ~ ( c0_1 @ a1040 ) )
   <= ( ! [X8: $i] :
          ( ~ ( c2_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
      & ( c3_1 @ a1040 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl754,zip_derived_cl339]) ).

thf('19',plain,
    ( ~ ( c0_1 @ a1040 )
    | ~ ! [X8: $i] :
          ( ~ ( c2_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
    | ~ ( c2_1 @ a1040 )
    | ~ ( c3_1 @ a1040 ) ),
    inference(split,[status(esa)],[zip_derived_cl4212]) ).

thf(zip_derived_cl58,plain,
    ! [X91: $i,X92: $i] :
      ( ~ ( c3_1 @ X91 )
      | ( c2_1 @ X91 )
      | ( c1_1 @ X91 )
      | ~ ndr1_0
      | ( c1_1 @ X92 )
      | ~ ( c0_1 @ X92 )
      | ~ ( c2_1 @ X92 )
      | ~ ndr1_0
      | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('20',plain,
    ( hskp1
    | ! [X24: $i] :
        ( ~ ( c3_1 @ X24 )
        | ( c1_1 @ X24 )
        | ( c2_1 @ X24 ) )
    | ! [X56: $i] :
        ( ~ ( c0_1 @ X56 )
        | ~ ( c2_1 @ X56 )
        | ( c1_1 @ X56 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf(zip_derived_cl738_007,plain,
    ( ( c3_1 @ a1044 )
   <= ( c3_1 @ a1044 ) ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl14,plain,
    ! [X23: $i,X24: $i] :
      ( ( c2_1 @ X23 )
      | ~ ( c1_1 @ X23 )
      | ~ ( c3_1 @ X23 )
      | ~ ndr1_0
      | ~ ( c3_1 @ X24 )
      | ( c1_1 @ X24 )
      | ( c2_1 @ X24 )
      | ~ ndr1_0
      | hskp58 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl370,plain,
    ( ! [X24: $i] :
        ( ~ ( c3_1 @ X24 )
        | ( c1_1 @ X24 )
        | ( c2_1 @ X24 ) )
   <= ! [X24: $i] :
        ( ~ ( c3_1 @ X24 )
        | ( c1_1 @ X24 )
        | ( c2_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl4132,plain,
    ( ( ( c1_1 @ a1044 )
      | ( c2_1 @ a1044 ) )
   <= ( ! [X24: $i] :
          ( ~ ( c3_1 @ X24 )
          | ( c1_1 @ X24 )
          | ( c2_1 @ X24 ) )
      & ( c3_1 @ a1044 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl738,zip_derived_cl370]) ).

thf('21',plain,
    ( ~ ! [X24: $i] :
          ( ~ ( c3_1 @ X24 )
          | ( c1_1 @ X24 )
          | ( c2_1 @ X24 ) )
    | ( c2_1 @ a1044 )
    | ( c1_1 @ a1044 )
    | ~ ( c3_1 @ a1044 ) ),
    inference(split,[status(esa)],[zip_derived_cl4132]) ).

thf(zip_derived_cl153,plain,
    ( ~ hskp40
    | ~ ( c1_1 @ a1044 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('22',plain,
    ( ~ ( c1_1 @ a1044 )
    | ~ hskp40 ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl50,plain,
    ! [X77: $i,X78: $i] :
      ( ( c2_1 @ X77 )
      | ( c0_1 @ X77 )
      | ( c3_1 @ X77 )
      | ~ ndr1_0
      | hskp35
      | ( c0_1 @ X78 )
      | ( c2_1 @ X78 )
      | ~ ( c3_1 @ X78 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('23',plain,
    ( ! [X6: $i] :
        ( ~ ( c3_1 @ X6 )
        | ( c0_1 @ X6 )
        | ( c2_1 @ X6 ) )
    | ! [X48: $i] :
        ( ( c3_1 @ X48 )
        | ( c2_1 @ X48 )
        | ( c0_1 @ X48 ) )
    | ~ ndr1_0
    | hskp35 ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl214,plain,
    ( ~ hskp25
    | ~ ( c0_1 @ a1091 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('24',plain,
    ( ~ ( c0_1 @ a1091 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl214]) ).

thf(zip_derived_cl213,plain,
    ( ~ hskp25
    | ~ ( c3_1 @ a1091 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl856,plain,
    ( ~ ( c3_1 @ a1091 )
   <= ~ ( c3_1 @ a1091 ) ),
    inference(split,[status(esa)],[zip_derived_cl213]) ).

thf(zip_derived_cl29,plain,
    ! [X48: $i,X49: $i] :
      ( ( c3_1 @ X48 )
      | ( c2_1 @ X48 )
      | ( c0_1 @ X48 )
      | ~ ndr1_0
      | hskp1
      | ( c1_1 @ X49 )
      | ( c2_1 @ X49 )
      | ~ ( c0_1 @ X49 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl430,plain,
    ( ! [X48: $i] :
        ( ( c3_1 @ X48 )
        | ( c2_1 @ X48 )
        | ( c0_1 @ X48 ) )
   <= ! [X48: $i] :
        ( ( c3_1 @ X48 )
        | ( c2_1 @ X48 )
        | ( c0_1 @ X48 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl2482,plain,
    ( ( ( c2_1 @ a1091 )
      | ( c0_1 @ a1091 ) )
   <= ( ~ ( c3_1 @ a1091 )
      & ! [X48: $i] :
          ( ( c3_1 @ X48 )
          | ( c2_1 @ X48 )
          | ( c0_1 @ X48 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl856,zip_derived_cl430]) ).

thf('25',plain,
    ( ( c3_1 @ a1091 )
    | ( c2_1 @ a1091 )
    | ~ ! [X48: $i] :
          ( ( c3_1 @ X48 )
          | ( c2_1 @ X48 )
          | ( c0_1 @ X48 ) )
    | ( c0_1 @ a1091 ) ),
    inference(split,[status(esa)],[zip_derived_cl2482]) ).

thf(zip_derived_cl127,plain,
    ( ~ hskp47
    | ( c3_1 @ a1056 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl684,plain,
    ( ( c3_1 @ a1056 )
   <= ( c3_1 @ a1056 ) ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl331_008,plain,
    ( ! [X3: $i] :
        ( ~ ( c2_1 @ X3 )
        | ~ ( c3_1 @ X3 )
        | ( c0_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ~ ( c2_1 @ X3 )
        | ~ ( c3_1 @ X3 )
        | ( c0_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf(zip_derived_cl3907,plain,
    ( ( ~ ( c2_1 @ a1056 )
      | ( c0_1 @ a1056 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c2_1 @ X3 )
          | ~ ( c3_1 @ X3 )
          | ( c0_1 @ X3 ) )
      & ( c3_1 @ a1056 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl684,zip_derived_cl331]) ).

thf('26',plain,
    ( ~ ! [X3: $i] :
          ( ~ ( c2_1 @ X3 )
          | ~ ( c3_1 @ X3 )
          | ( c0_1 @ X3 ) )
    | ~ ( c2_1 @ a1056 )
    | ~ ( c3_1 @ a1056 )
    | ( c0_1 @ a1056 ) ),
    inference(split,[status(esa)],[zip_derived_cl3907]) ).

thf(zip_derived_cl282,plain,
    ( ~ hskp8
    | ~ ( c3_1 @ a1036 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl994,plain,
    ( ~ ( c3_1 @ a1036 )
   <= ~ ( c3_1 @ a1036 ) ),
    inference(split,[status(esa)],[zip_derived_cl282]) ).

thf(zip_derived_cl35,plain,
    ! [X56: $i,X57: $i] :
      ( ~ ( c0_1 @ X56 )
      | ~ ( c2_1 @ X56 )
      | ( c1_1 @ X56 )
      | ~ ndr1_0
      | hskp47
      | ~ ( c2_1 @ X57 )
      | ~ ( c0_1 @ X57 )
      | ( c3_1 @ X57 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl453,plain,
    ( ! [X57: $i] :
        ( ~ ( c2_1 @ X57 )
        | ~ ( c0_1 @ X57 )
        | ( c3_1 @ X57 ) )
   <= ! [X57: $i] :
        ( ~ ( c2_1 @ X57 )
        | ~ ( c0_1 @ X57 )
        | ( c3_1 @ X57 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl3046,plain,
    ( ( ~ ( c2_1 @ a1036 )
      | ~ ( c0_1 @ a1036 ) )
   <= ( ~ ( c3_1 @ a1036 )
      & ! [X57: $i] :
          ( ~ ( c2_1 @ X57 )
          | ~ ( c0_1 @ X57 )
          | ( c3_1 @ X57 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl994,zip_derived_cl453]) ).

thf('27',plain,
    ( ( c3_1 @ a1036 )
    | ~ ! [X57: $i] :
          ( ~ ( c2_1 @ X57 )
          | ~ ( c0_1 @ X57 )
          | ( c3_1 @ X57 ) )
    | ~ ( c2_1 @ a1036 )
    | ~ ( c0_1 @ a1036 ) ),
    inference(split,[status(esa)],[zip_derived_cl3046]) ).

thf(zip_derived_cl175,plain,
    ( ~ hskp35
    | ( c3_1 @ a1033 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl780,plain,
    ( ( c3_1 @ a1033 )
   <= ( c3_1 @ a1033 ) ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl339_009,plain,
    ( ! [X8: $i] :
        ( ~ ( c2_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c3_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ~ ( c2_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c3_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl4359,plain,
    ( ( ~ ( c2_1 @ a1033 )
      | ~ ( c0_1 @ a1033 ) )
   <= ( ! [X8: $i] :
          ( ~ ( c2_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
      & ( c3_1 @ a1033 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl780,zip_derived_cl339]) ).

thf('28',plain,
    ( ~ ( c0_1 @ a1033 )
    | ~ ( c2_1 @ a1033 )
    | ~ ! [X8: $i] :
          ( ~ ( c2_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
    | ~ ( c3_1 @ a1033 ) ),
    inference(split,[status(esa)],[zip_derived_cl4359]) ).

thf(zip_derived_cl173,plain,
    ( ~ hskp35
    | ( c0_1 @ a1033 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('29',plain,
    ( ~ hskp35
    | ( c0_1 @ a1033 ) ),
    inference(split,[status(esa)],[zip_derived_cl173]) ).

thf(zip_derived_cl174,plain,
    ( ~ hskp35
    | ( c1_1 @ a1033 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('30',plain,
    ( ( c1_1 @ a1033 )
    | ~ hskp35 ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf('31',plain,
    ( ( c3_1 @ a1033 )
    | ~ hskp35 ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf('32',plain,
    ( ! [X1: $i] :
        ( ~ ( c1_1 @ X1 )
        | ( c3_1 @ X1 )
        | ( c2_1 @ X1 ) )
    | hskp35
    | ~ ndr1_0
    | ! [X3: $i] :
        ( ~ ( c2_1 @ X3 )
        | ~ ( c3_1 @ X3 )
        | ( c0_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf(zip_derived_cl856_010,plain,
    ( ~ ( c3_1 @ a1091 )
   <= ~ ( c3_1 @ a1091 ) ),
    inference(split,[status(esa)],[zip_derived_cl213]) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( c3_1 @ X0 )
      | ~ ( c1_1 @ X0 )
      | ( c0_1 @ X0 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X1 )
      | ( c3_1 @ X1 )
      | ( c2_1 @ X1 )
      | ~ ndr1_0
      | hskp61 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl322,plain,
    ( ! [X1: $i] :
        ( ~ ( c1_1 @ X1 )
        | ( c3_1 @ X1 )
        | ( c2_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c1_1 @ X1 )
        | ( c3_1 @ X1 )
        | ( c2_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl2475,plain,
    ( ( ~ ( c1_1 @ a1091 )
      | ( c2_1 @ a1091 ) )
   <= ( ~ ( c3_1 @ a1091 )
      & ! [X1: $i] :
          ( ~ ( c1_1 @ X1 )
          | ( c3_1 @ X1 )
          | ( c2_1 @ X1 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl856,zip_derived_cl322]) ).

thf('33',plain,
    ( ( c3_1 @ a1091 )
    | ( c2_1 @ a1091 )
    | ~ ! [X1: $i] :
          ( ~ ( c1_1 @ X1 )
          | ( c3_1 @ X1 )
          | ( c2_1 @ X1 ) )
    | ~ ( c1_1 @ a1091 ) ),
    inference(split,[status(esa)],[zip_derived_cl2475]) ).

thf(zip_derived_cl856_011,plain,
    ( ~ ( c3_1 @ a1091 )
   <= ~ ( c3_1 @ a1091 ) ),
    inference(split,[status(esa)],[zip_derived_cl213]) ).

thf(zip_derived_cl413_012,plain,
    ( ! [X42: $i] :
        ( ( c3_1 @ X42 )
        | ( c1_1 @ X42 )
        | ( c2_1 @ X42 ) )
   <= ! [X42: $i] :
        ( ( c3_1 @ X42 )
        | ( c1_1 @ X42 )
        | ( c2_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl2480,plain,
    ( ( ( c1_1 @ a1091 )
      | ( c2_1 @ a1091 ) )
   <= ( ~ ( c3_1 @ a1091 )
      & ! [X42: $i] :
          ( ( c3_1 @ X42 )
          | ( c1_1 @ X42 )
          | ( c2_1 @ X42 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl856,zip_derived_cl413]) ).

thf('34',plain,
    ( ( c1_1 @ a1091 )
    | ( c3_1 @ a1091 )
    | ~ ! [X42: $i] :
          ( ( c3_1 @ X42 )
          | ( c1_1 @ X42 )
          | ( c2_1 @ X42 ) )
    | ( c2_1 @ a1091 ) ),
    inference(split,[status(esa)],[zip_derived_cl2480]) ).

thf('35',plain,
    ( ~ hskp25
    | ~ ( c3_1 @ a1091 ) ),
    inference(split,[status(esa)],[zip_derived_cl213]) ).

thf(zip_derived_cl215,plain,
    ( ~ hskp25
    | ~ ( c2_1 @ a1091 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('36',plain,
    ( ~ hskp25
    | ~ ( c2_1 @ a1091 ) ),
    inference(split,[status(esa)],[zip_derived_cl215]) ).

thf(zip_derived_cl10,plain,
    ! [X16: $i,X17: $i] :
      ( ( c2_1 @ X16 )
      | ~ ( c1_1 @ X16 )
      | ( c0_1 @ X16 )
      | ~ ndr1_0
      | hskp25
      | ~ ( c2_1 @ X17 )
      | ~ ( c1_1 @ X17 )
      | ~ ( c3_1 @ X17 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('37',plain,
    ( ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ~ ( c1_1 @ X16 )
        | ( c0_1 @ X16 ) )
    | hskp25
    | ~ ndr1_0
    | ! [X17: $i] :
        ( ~ ( c2_1 @ X17 )
        | ~ ( c1_1 @ X17 )
        | ~ ( c3_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl237,plain,
    ( ~ hskp19
    | ( c1_1 @ a1079 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl904,plain,
    ( ( c1_1 @ a1079 )
   <= ( c1_1 @ a1079 ) ),
    inference(split,[status(esa)],[zip_derived_cl237]) ).

thf(zip_derived_cl355,plain,
    ( ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ~ ( c1_1 @ X16 )
        | ( c0_1 @ X16 ) )
   <= ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ~ ( c1_1 @ X16 )
        | ( c0_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl4624,plain,
    ( ( ( c2_1 @ a1079 )
      | ( c0_1 @ a1079 ) )
   <= ( ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ~ ( c1_1 @ X16 )
          | ( c0_1 @ X16 ) )
      & ( c1_1 @ a1079 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl904,zip_derived_cl355]) ).

thf('38',plain,
    ( ( c2_1 @ a1079 )
    | ( c0_1 @ a1079 )
    | ~ ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ~ ( c1_1 @ X16 )
          | ( c0_1 @ X16 ) )
    | ~ ( c1_1 @ a1079 ) ),
    inference(split,[status(esa)],[zip_derived_cl4624]) ).

thf('39',plain,
    ( ~ hskp19
    | ( c1_1 @ a1079 ) ),
    inference(split,[status(esa)],[zip_derived_cl237]) ).

thf(zip_derived_cl238,plain,
    ( ~ hskp19
    | ~ ( c0_1 @ a1079 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('40',plain,
    ( ~ hskp19
    | ~ ( c0_1 @ a1079 ) ),
    inference(split,[status(esa)],[zip_derived_cl238]) ).

thf(zip_derived_cl239,plain,
    ( ~ hskp19
    | ~ ( c2_1 @ a1079 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('41',plain,
    ( ~ hskp19
    | ~ ( c2_1 @ a1079 ) ),
    inference(split,[status(esa)],[zip_derived_cl239]) ).

thf('42',plain,
    ( hskp20
    | hskp19
    | ~ ndr1_0
    | ! [X32: $i] :
        ( ( c1_1 @ X32 )
        | ~ ( c0_1 @ X32 )
        | ( c3_1 @ X32 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl233,plain,
    ( ~ hskp20
    | ~ ( c0_1 @ a1080 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('43',plain,
    ( ~ ( c0_1 @ a1080 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl233]) ).

thf(zip_derived_cl234,plain,
    ( ~ hskp20
    | ~ ( c2_1 @ a1080 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('44',plain,
    ( ~ ( c2_1 @ a1080 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl234]) ).

thf(zip_derived_cl235,plain,
    ( ~ hskp20
    | ~ ( c1_1 @ a1080 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('45',plain,
    ( ~ ( c1_1 @ a1080 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl235]) ).

thf(zip_derived_cl900,plain,
    ( ~ ( c1_1 @ a1080 )
   <= ~ ( c1_1 @ a1080 ) ),
    inference(split,[status(esa)],[zip_derived_cl235]) ).

thf(zip_derived_cl342,plain,
    ( ! [X12: $i] :
        ( ( c0_1 @ X12 )
        | ( c1_1 @ X12 )
        | ( c2_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ( c0_1 @ X12 )
        | ( c1_1 @ X12 )
        | ( c2_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl2676,plain,
    ( ( ( c0_1 @ a1080 )
      | ( c2_1 @ a1080 ) )
   <= ( ~ ( c1_1 @ a1080 )
      & ! [X12: $i] :
          ( ( c0_1 @ X12 )
          | ( c1_1 @ X12 )
          | ( c2_1 @ X12 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl900,zip_derived_cl342]) ).

thf('46',plain,
    ( ~ ! [X12: $i] :
          ( ( c0_1 @ X12 )
          | ( c1_1 @ X12 )
          | ( c2_1 @ X12 ) )
    | ( c0_1 @ a1080 )
    | ( c2_1 @ a1080 )
    | ( c1_1 @ a1080 ) ),
    inference(split,[status(esa)],[zip_derived_cl2676]) ).

thf(zip_derived_cl41,plain,
    ! [X64: $i,X65: $i] :
      ( hskp42
      | ( c1_1 @ X64 )
      | ( c0_1 @ X64 )
      | ~ ( c2_1 @ X64 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X65 )
      | ~ ( c3_1 @ X65 )
      | ( c2_1 @ X65 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('47',plain,
    ( hskp42
    | ! [X5: $i] :
        ( ~ ( c3_1 @ X5 )
        | ( c2_1 @ X5 )
        | ~ ( c1_1 @ X5 ) )
    | ~ ndr1_0
    | ! [X40: $i] :
        ( ~ ( c2_1 @ X40 )
        | ( c0_1 @ X40 )
        | ( c1_1 @ X40 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl145,plain,
    ( ~ hskp42
    | ~ ( c2_1 @ a1046 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('48',plain,
    ( ~ ( c2_1 @ a1046 )
    | ~ hskp42 ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl146,plain,
    ( ~ hskp42
    | ( c1_1 @ a1046 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('49',plain,
    ( ( c1_1 @ a1046 )
    | ~ hskp42 ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf(zip_derived_cl147,plain,
    ( ~ hskp42
    | ( c0_1 @ a1046 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('50',plain,
    ( ( c0_1 @ a1046 )
    | ~ hskp42 ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl722,plain,
    ( ( c1_1 @ a1046 )
   <= ( c1_1 @ a1046 ) ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf(zip_derived_cl40,plain,
    ! [X62: $i,X63: $i] :
      ( ~ ( c0_1 @ X62 )
      | ( c2_1 @ X62 )
      | ~ ( c1_1 @ X62 )
      | ~ ndr1_0
      | ( c1_1 @ X63 )
      | ~ ( c0_1 @ X63 )
      | ~ ( c3_1 @ X63 )
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl473,plain,
    ( ! [X62: $i] :
        ( ~ ( c0_1 @ X62 )
        | ( c2_1 @ X62 )
        | ~ ( c1_1 @ X62 ) )
   <= ! [X62: $i] :
        ( ~ ( c0_1 @ X62 )
        | ( c2_1 @ X62 )
        | ~ ( c1_1 @ X62 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl4080,plain,
    ( ( ~ ( c0_1 @ a1046 )
      | ( c2_1 @ a1046 ) )
   <= ( ! [X62: $i] :
          ( ~ ( c0_1 @ X62 )
          | ( c2_1 @ X62 )
          | ~ ( c1_1 @ X62 ) )
      & ( c1_1 @ a1046 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl722,zip_derived_cl473]) ).

thf('51',plain,
    ( ~ ! [X62: $i] :
          ( ~ ( c0_1 @ X62 )
          | ( c2_1 @ X62 )
          | ~ ( c1_1 @ X62 ) )
    | ( c2_1 @ a1046 )
    | ~ ( c0_1 @ a1046 )
    | ~ ( c1_1 @ a1046 ) ),
    inference(split,[status(esa)],[zip_derived_cl4080]) ).

thf(zip_derived_cl54,plain,
    ! [X84: $i,X85: $i] :
      ( hskp31
      | ~ ( c0_1 @ X84 )
      | ~ ( c1_1 @ X84 )
      | ( c2_1 @ X84 )
      | ~ ndr1_0
      | ~ ( c2_1 @ X85 )
      | ( c1_1 @ X85 )
      | ( c3_1 @ X85 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('52',plain,
    ( hskp31
    | ! [X11: $i] :
        ( ( c3_1 @ X11 )
        | ( c1_1 @ X11 )
        | ~ ( c2_1 @ X11 ) )
    | ~ ndr1_0
    | ! [X62: $i] :
        ( ~ ( c0_1 @ X62 )
        | ( c2_1 @ X62 )
        | ~ ( c1_1 @ X62 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf(zip_derived_cl994_013,plain,
    ( ~ ( c3_1 @ a1036 )
   <= ~ ( c3_1 @ a1036 ) ),
    inference(split,[status(esa)],[zip_derived_cl282]) ).

thf(zip_derived_cl343_014,plain,
    ( ! [X11: $i] :
        ( ( c3_1 @ X11 )
        | ( c1_1 @ X11 )
        | ~ ( c2_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c3_1 @ X11 )
        | ( c1_1 @ X11 )
        | ~ ( c2_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl3038,plain,
    ( ( ( c1_1 @ a1036 )
      | ~ ( c2_1 @ a1036 ) )
   <= ( ~ ( c3_1 @ a1036 )
      & ! [X11: $i] :
          ( ( c3_1 @ X11 )
          | ( c1_1 @ X11 )
          | ~ ( c2_1 @ X11 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl994,zip_derived_cl343]) ).

thf('53',plain,
    ( ( c3_1 @ a1036 )
    | ( c1_1 @ a1036 )
    | ~ ! [X11: $i] :
          ( ( c3_1 @ X11 )
          | ( c1_1 @ X11 )
          | ~ ( c2_1 @ X11 ) )
    | ~ ( c2_1 @ a1036 ) ),
    inference(split,[status(esa)],[zip_derived_cl3038]) ).

thf(zip_derived_cl151,plain,
    ( ~ hskp41
    | ( c3_1 @ a1045 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl732,plain,
    ( ( c3_1 @ a1045 )
   <= ( c3_1 @ a1045 ) ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl331_015,plain,
    ( ! [X3: $i] :
        ( ~ ( c2_1 @ X3 )
        | ~ ( c3_1 @ X3 )
        | ( c0_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ~ ( c2_1 @ X3 )
        | ~ ( c3_1 @ X3 )
        | ( c0_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf(zip_derived_cl4115,plain,
    ( ( ~ ( c2_1 @ a1045 )
      | ( c0_1 @ a1045 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c2_1 @ X3 )
          | ~ ( c3_1 @ X3 )
          | ( c0_1 @ X3 ) )
      & ( c3_1 @ a1045 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl732,zip_derived_cl331]) ).

thf('54',plain,
    ( ~ ! [X3: $i] :
          ( ~ ( c2_1 @ X3 )
          | ~ ( c3_1 @ X3 )
          | ( c0_1 @ X3 ) )
    | ~ ( c2_1 @ a1045 )
    | ~ ( c3_1 @ a1045 )
    | ( c0_1 @ a1045 ) ),
    inference(split,[status(esa)],[zip_derived_cl4115]) ).

thf(zip_derived_cl63,plain,
    ( ~ hskp63
    | ( c3_1 @ a1105 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl556,plain,
    ( ( c3_1 @ a1105 )
   <= ( c3_1 @ a1105 ) ),
    inference(split,[status(esa)],[zip_derived_cl63]) ).

thf(zip_derived_cl334_016,plain,
    ( ! [X6: $i] :
        ( ~ ( c3_1 @ X6 )
        | ( c0_1 @ X6 )
        | ( c2_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ~ ( c3_1 @ X6 )
        | ( c0_1 @ X6 )
        | ( c2_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl3463,plain,
    ( ( ( c0_1 @ a1105 )
      | ( c2_1 @ a1105 ) )
   <= ( ! [X6: $i] :
          ( ~ ( c3_1 @ X6 )
          | ( c0_1 @ X6 )
          | ( c2_1 @ X6 ) )
      & ( c3_1 @ a1105 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl556,zip_derived_cl334]) ).

thf('55',plain,
    ( ( c0_1 @ a1105 )
    | ( c2_1 @ a1105 )
    | ~ ! [X6: $i] :
          ( ~ ( c3_1 @ X6 )
          | ( c0_1 @ X6 )
          | ( c2_1 @ X6 ) )
    | ~ ( c3_1 @ a1105 ) ),
    inference(split,[status(esa)],[zip_derived_cl3463]) ).

thf(zip_derived_cl780_017,plain,
    ( ( c3_1 @ a1033 )
   <= ( c3_1 @ a1033 ) ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl335_018,plain,
    ( ! [X5: $i] :
        ( ~ ( c3_1 @ X5 )
        | ( c2_1 @ X5 )
        | ~ ( c1_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ~ ( c3_1 @ X5 )
        | ( c2_1 @ X5 )
        | ~ ( c1_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl4357,plain,
    ( ( ( c2_1 @ a1033 )
      | ~ ( c1_1 @ a1033 ) )
   <= ( ! [X5: $i] :
          ( ~ ( c3_1 @ X5 )
          | ( c2_1 @ X5 )
          | ~ ( c1_1 @ X5 ) )
      & ( c3_1 @ a1033 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl780,zip_derived_cl335]) ).

thf('56',plain,
    ( ( c2_1 @ a1033 )
    | ~ ( c3_1 @ a1033 )
    | ~ ! [X5: $i] :
          ( ~ ( c3_1 @ X5 )
          | ( c2_1 @ X5 )
          | ~ ( c1_1 @ X5 ) )
    | ~ ( c1_1 @ a1033 ) ),
    inference(split,[status(esa)],[zip_derived_cl4357]) ).

thf(zip_derived_cl149,plain,
    ( ~ hskp41
    | ~ ( c1_1 @ a1045 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl728,plain,
    ( ~ ( c1_1 @ a1045 )
   <= ~ ( c1_1 @ a1045 ) ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl415,plain,
    ( ! [X40: $i] :
        ( ~ ( c2_1 @ X40 )
        | ( c0_1 @ X40 )
        | ( c1_1 @ X40 ) )
   <= ! [X40: $i] :
        ( ~ ( c2_1 @ X40 )
        | ( c0_1 @ X40 )
        | ( c1_1 @ X40 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl2170,plain,
    ( ( ~ ( c2_1 @ a1045 )
      | ( c0_1 @ a1045 ) )
   <= ( ~ ( c1_1 @ a1045 )
      & ! [X40: $i] :
          ( ~ ( c2_1 @ X40 )
          | ( c0_1 @ X40 )
          | ( c1_1 @ X40 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl728,zip_derived_cl415]) ).

thf('57',plain,
    ( ~ ! [X40: $i] :
          ( ~ ( c2_1 @ X40 )
          | ( c0_1 @ X40 )
          | ( c1_1 @ X40 ) )
    | ~ ( c2_1 @ a1045 )
    | ( c0_1 @ a1045 )
    | ( c1_1 @ a1045 ) ),
    inference(split,[status(esa)],[zip_derived_cl2170]) ).

thf(zip_derived_cl253,plain,
    ( ~ hskp15
    | ( c3_1 @ a1059 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl936,plain,
    ( ( c3_1 @ a1059 )
   <= ( c3_1 @ a1059 ) ),
    inference(split,[status(esa)],[zip_derived_cl253]) ).

thf(zip_derived_cl339_019,plain,
    ( ! [X8: $i] :
        ( ~ ( c2_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c3_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ~ ( c2_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c3_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl4702,plain,
    ( ( ~ ( c2_1 @ a1059 )
      | ~ ( c0_1 @ a1059 ) )
   <= ( ! [X8: $i] :
          ( ~ ( c2_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
      & ( c3_1 @ a1059 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl936,zip_derived_cl339]) ).

thf('58',plain,
    ( ~ ( c0_1 @ a1059 )
    | ~ ( c3_1 @ a1059 )
    | ~ ! [X8: $i] :
          ( ~ ( c2_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
    | ~ ( c2_1 @ a1059 ) ),
    inference(split,[status(esa)],[zip_derived_cl4702]) ).

thf(zip_derived_cl181,plain,
    ( ~ hskp33
    | ( c3_1 @ a1031 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl792,plain,
    ( ( c3_1 @ a1031 )
   <= ( c3_1 @ a1031 ) ),
    inference(split,[status(esa)],[zip_derived_cl181]) ).

thf(zip_derived_cl339_020,plain,
    ( ! [X8: $i] :
        ( ~ ( c2_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c3_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ~ ( c2_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c3_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl4383,plain,
    ( ( ~ ( c2_1 @ a1031 )
      | ~ ( c0_1 @ a1031 ) )
   <= ( ! [X8: $i] :
          ( ~ ( c2_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
      & ( c3_1 @ a1031 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl792,zip_derived_cl339]) ).

thf('59',plain,
    ( ~ ( c0_1 @ a1031 )
    | ~ ( c3_1 @ a1031 )
    | ~ ! [X8: $i] :
          ( ~ ( c2_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
    | ~ ( c2_1 @ a1031 ) ),
    inference(split,[status(esa)],[zip_derived_cl4383]) ).

thf(zip_derived_cl167,plain,
    ( ~ hskp37
    | ( c3_1 @ a1037 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl764,plain,
    ( ( c3_1 @ a1037 )
   <= ( c3_1 @ a1037 ) ),
    inference(split,[status(esa)],[zip_derived_cl167]) ).

thf(zip_derived_cl339_021,plain,
    ( ! [X8: $i] :
        ( ~ ( c2_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c3_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ~ ( c2_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c3_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl4250,plain,
    ( ( ~ ( c2_1 @ a1037 )
      | ~ ( c0_1 @ a1037 ) )
   <= ( ! [X8: $i] :
          ( ~ ( c2_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
      & ( c3_1 @ a1037 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl764,zip_derived_cl339]) ).

thf('60',plain,
    ( ~ ( c2_1 @ a1037 )
    | ~ ( c0_1 @ a1037 )
    | ~ ! [X8: $i] :
          ( ~ ( c2_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
    | ~ ( c3_1 @ a1037 ) ),
    inference(split,[status(esa)],[zip_derived_cl4250]) ).

thf(zip_derived_cl682_022,plain,
    ( ( c1_1 @ a1056 )
   <= ( c1_1 @ a1056 ) ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl338,plain,
    ( ! [X9: $i] :
        ( ~ ( c0_1 @ X9 )
        | ~ ( c1_1 @ X9 )
        | ~ ( c2_1 @ X9 ) )
   <= ! [X9: $i] :
        ( ~ ( c0_1 @ X9 )
        | ~ ( c1_1 @ X9 )
        | ~ ( c2_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl3895,plain,
    ( ( ~ ( c0_1 @ a1056 )
      | ~ ( c2_1 @ a1056 ) )
   <= ( ! [X9: $i] :
          ( ~ ( c0_1 @ X9 )
          | ~ ( c1_1 @ X9 )
          | ~ ( c2_1 @ X9 ) )
      & ( c1_1 @ a1056 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl682,zip_derived_cl338]) ).

thf('61',plain,
    ( ~ ( c0_1 @ a1056 )
    | ~ ( c1_1 @ a1056 )
    | ~ ! [X9: $i] :
          ( ~ ( c0_1 @ X9 )
          | ~ ( c1_1 @ X9 )
          | ~ ( c2_1 @ X9 ) )
    | ~ ( c2_1 @ a1056 ) ),
    inference(split,[status(esa)],[zip_derived_cl3895]) ).

thf(zip_derived_cl22,plain,
    ! [X36: $i] :
      ( hskp54
      | hskp47
      | ~ ( c3_1 @ X36 )
      | ~ ( c2_1 @ X36 )
      | ~ ( c1_1 @ X36 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('62',plain,
    ( hskp47
    | ! [X17: $i] :
        ( ~ ( c2_1 @ X17 )
        | ~ ( c1_1 @ X17 )
        | ~ ( c3_1 @ X17 ) )
    | hskp54
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl48,plain,
    ! [X75: $i] :
      ( ~ ( c3_1 @ X75 )
      | ~ ( c1_1 @ X75 )
      | ( c0_1 @ X75 )
      | ~ ndr1_0
      | hskp8
      | hskp37 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('63',plain,
    ( hskp37
    | hskp8
    | ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ( c0_1 @ X0 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl556_023,plain,
    ( ( c3_1 @ a1105 )
   <= ( c3_1 @ a1105 ) ),
    inference(split,[status(esa)],[zip_derived_cl63]) ).

thf(zip_derived_cl323,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ( c0_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ( c0_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl3460,plain,
    ( ( ~ ( c1_1 @ a1105 )
      | ( c0_1 @ a1105 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c3_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ( c0_1 @ X0 ) )
      & ( c3_1 @ a1105 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl556,zip_derived_cl323]) ).

thf('64',plain,
    ( ( c0_1 @ a1105 )
    | ~ ! [X0: $i] :
          ( ~ ( c3_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ( c0_1 @ X0 ) )
    | ~ ( c3_1 @ a1105 )
    | ~ ( c1_1 @ a1105 ) ),
    inference(split,[status(esa)],[zip_derived_cl3460]) ).

thf(zip_derived_cl556_024,plain,
    ( ( c3_1 @ a1105 )
   <= ( c3_1 @ a1105 ) ),
    inference(split,[status(esa)],[zip_derived_cl63]) ).

thf(zip_derived_cl375_025,plain,
    ( ! [X25: $i] :
        ( ~ ( c0_1 @ X25 )
        | ~ ( c3_1 @ X25 )
        | ( c2_1 @ X25 ) )
   <= ! [X25: $i] :
        ( ~ ( c0_1 @ X25 )
        | ~ ( c3_1 @ X25 )
        | ( c2_1 @ X25 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl3467,plain,
    ( ( ~ ( c0_1 @ a1105 )
      | ( c2_1 @ a1105 ) )
   <= ( ! [X25: $i] :
          ( ~ ( c0_1 @ X25 )
          | ~ ( c3_1 @ X25 )
          | ( c2_1 @ X25 ) )
      & ( c3_1 @ a1105 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl556,zip_derived_cl375]) ).

thf('65',plain,
    ( ~ ! [X25: $i] :
          ( ~ ( c0_1 @ X25 )
          | ~ ( c3_1 @ X25 )
          | ( c2_1 @ X25 ) )
    | ~ ( c0_1 @ a1105 )
    | ( c2_1 @ a1105 )
    | ~ ( c3_1 @ a1105 ) ),
    inference(split,[status(esa)],[zip_derived_cl3467]) ).

thf(zip_derived_cl165,plain,
    ( ~ hskp37
    | ~ ( c1_1 @ a1037 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('66',plain,
    ( ~ ( c1_1 @ a1037 )
    | ~ hskp37 ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl454,plain,
    ( ! [X56: $i] :
        ( ~ ( c0_1 @ X56 )
        | ~ ( c2_1 @ X56 )
        | ( c1_1 @ X56 ) )
   <= ! [X56: $i] :
        ( ~ ( c0_1 @ X56 )
        | ~ ( c2_1 @ X56 )
        | ( c1_1 @ X56 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl760,plain,
    ( ~ ( c1_1 @ a1037 )
   <= ~ ( c1_1 @ a1037 ) ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl2733,plain,
    ( ( ~ ( c2_1 @ a1037 )
      | ~ ( c0_1 @ a1037 ) )
   <= ( ~ ( c1_1 @ a1037 )
      & ! [X56: $i] :
          ( ~ ( c0_1 @ X56 )
          | ~ ( c2_1 @ X56 )
          | ( c1_1 @ X56 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl454,zip_derived_cl760]) ).

thf('67',plain,
    ( ~ ! [X56: $i] :
          ( ~ ( c0_1 @ X56 )
          | ~ ( c2_1 @ X56 )
          | ( c1_1 @ X56 ) )
    | ( c1_1 @ a1037 )
    | ~ ( c2_1 @ a1037 )
    | ~ ( c0_1 @ a1037 ) ),
    inference(split,[status(esa)],[zip_derived_cl2733]) ).

thf(zip_derived_cl166,plain,
    ( ~ hskp37
    | ( c0_1 @ a1037 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('68',plain,
    ( ( c0_1 @ a1037 )
    | ~ hskp37 ),
    inference(split,[status(esa)],[zip_derived_cl166]) ).

thf('69',plain,
    ( ( c3_1 @ a1037 )
    | ~ hskp37 ),
    inference(split,[status(esa)],[zip_derived_cl167]) ).

thf(zip_derived_cl764_026,plain,
    ( ( c3_1 @ a1037 )
   <= ( c3_1 @ a1037 ) ),
    inference(split,[status(esa)],[zip_derived_cl167]) ).

thf(zip_derived_cl375_027,plain,
    ( ! [X25: $i] :
        ( ~ ( c0_1 @ X25 )
        | ~ ( c3_1 @ X25 )
        | ( c2_1 @ X25 ) )
   <= ! [X25: $i] :
        ( ~ ( c0_1 @ X25 )
        | ~ ( c3_1 @ X25 )
        | ( c2_1 @ X25 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl4253,plain,
    ( ( ~ ( c0_1 @ a1037 )
      | ( c2_1 @ a1037 ) )
   <= ( ! [X25: $i] :
          ( ~ ( c0_1 @ X25 )
          | ~ ( c3_1 @ X25 )
          | ( c2_1 @ X25 ) )
      & ( c3_1 @ a1037 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl764,zip_derived_cl375]) ).

thf('70',plain,
    ( ~ ! [X25: $i] :
          ( ~ ( c0_1 @ X25 )
          | ~ ( c3_1 @ X25 )
          | ( c2_1 @ X25 ) )
    | ( c2_1 @ a1037 )
    | ~ ( c3_1 @ a1037 )
    | ~ ( c0_1 @ a1037 ) ),
    inference(split,[status(esa)],[zip_derived_cl4253]) ).

thf('71',plain,
    ( ! [X26: $i] :
        ( ~ ( c2_1 @ X26 )
        | ~ ( c3_1 @ X26 )
        | ( c1_1 @ X26 ) )
    | ! [X25: $i] :
        ( ~ ( c0_1 @ X25 )
        | ~ ( c3_1 @ X25 )
        | ( c2_1 @ X25 ) )
    | ~ ndr1_0
    | hskp57 ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl226,plain,
    ( ~ hskp22
    | ( c3_1 @ a1083 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl882,plain,
    ( ( c3_1 @ a1083 )
   <= ( c3_1 @ a1083 ) ),
    inference(split,[status(esa)],[zip_derived_cl226]) ).

thf(zip_derived_cl374_028,plain,
    ( ! [X26: $i] :
        ( ~ ( c2_1 @ X26 )
        | ~ ( c3_1 @ X26 )
        | ( c1_1 @ X26 ) )
   <= ! [X26: $i] :
        ( ~ ( c2_1 @ X26 )
        | ~ ( c3_1 @ X26 )
        | ( c1_1 @ X26 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl4612,plain,
    ( ( ~ ( c2_1 @ a1083 )
      | ( c1_1 @ a1083 ) )
   <= ( ! [X26: $i] :
          ( ~ ( c2_1 @ X26 )
          | ~ ( c3_1 @ X26 )
          | ( c1_1 @ X26 ) )
      & ( c3_1 @ a1083 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl882,zip_derived_cl374]) ).

thf('72',plain,
    ( ( c1_1 @ a1083 )
    | ~ ( c3_1 @ a1083 )
    | ~ ! [X26: $i] :
          ( ~ ( c2_1 @ X26 )
          | ~ ( c3_1 @ X26 )
          | ( c1_1 @ X26 ) )
    | ~ ( c2_1 @ a1083 ) ),
    inference(split,[status(esa)],[zip_derived_cl4612]) ).

thf('73',plain,
    ( ( c3_1 @ a1083 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl226]) ).

thf(zip_derived_cl89,plain,
    ( ~ hskp56
    | ~ ( c3_1 @ a1084 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl608,plain,
    ( ~ ( c3_1 @ a1084 )
   <= ~ ( c3_1 @ a1084 ) ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf(zip_derived_cl390_029,plain,
    ( ! [X32: $i] :
        ( ( c1_1 @ X32 )
        | ~ ( c0_1 @ X32 )
        | ( c3_1 @ X32 ) )
   <= ! [X32: $i] :
        ( ( c1_1 @ X32 )
        | ~ ( c0_1 @ X32 )
        | ( c3_1 @ X32 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl2020,plain,
    ( ( ( c1_1 @ a1084 )
      | ~ ( c0_1 @ a1084 ) )
   <= ( ~ ( c3_1 @ a1084 )
      & ! [X32: $i] :
          ( ( c1_1 @ X32 )
          | ~ ( c0_1 @ X32 )
          | ( c3_1 @ X32 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl608,zip_derived_cl390]) ).

thf('74',plain,
    ( ~ ! [X32: $i] :
          ( ( c1_1 @ X32 )
          | ~ ( c0_1 @ X32 )
          | ( c3_1 @ X32 ) )
    | ( c3_1 @ a1084 )
    | ( c1_1 @ a1084 )
    | ~ ( c0_1 @ a1084 ) ),
    inference(split,[status(esa)],[zip_derived_cl2020]) ).

thf(zip_derived_cl608_030,plain,
    ( ~ ( c3_1 @ a1084 )
   <= ~ ( c3_1 @ a1084 ) ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf(zip_derived_cl413_031,plain,
    ( ! [X42: $i] :
        ( ( c3_1 @ X42 )
        | ( c1_1 @ X42 )
        | ( c2_1 @ X42 ) )
   <= ! [X42: $i] :
        ( ( c3_1 @ X42 )
        | ( c1_1 @ X42 )
        | ( c2_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl2022,plain,
    ( ( ( c1_1 @ a1084 )
      | ( c2_1 @ a1084 ) )
   <= ( ~ ( c3_1 @ a1084 )
      & ! [X42: $i] :
          ( ( c3_1 @ X42 )
          | ( c1_1 @ X42 )
          | ( c2_1 @ X42 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl608,zip_derived_cl413]) ).

thf('75',plain,
    ( ( c2_1 @ a1084 )
    | ~ ! [X42: $i] :
          ( ( c3_1 @ X42 )
          | ( c1_1 @ X42 )
          | ( c2_1 @ X42 ) )
    | ( c1_1 @ a1084 )
    | ( c3_1 @ a1084 ) ),
    inference(split,[status(esa)],[zip_derived_cl2022]) ).

thf(zip_derived_cl93,plain,
    ( ~ hskp55
    | ( c1_1 @ a1081 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('76',plain,
    ( ( c1_1 @ a1081 )
    | ~ hskp55 ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf(zip_derived_cl95,plain,
    ( ~ hskp55
    | ( c3_1 @ a1081 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl620,plain,
    ( ( c3_1 @ a1081 )
   <= ( c3_1 @ a1081 ) ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl354,plain,
    ( ! [X17: $i] :
        ( ~ ( c2_1 @ X17 )
        | ~ ( c1_1 @ X17 )
        | ~ ( c3_1 @ X17 ) )
   <= ! [X17: $i] :
        ( ~ ( c2_1 @ X17 )
        | ~ ( c1_1 @ X17 )
        | ~ ( c3_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl3631,plain,
    ( ( ~ ( c2_1 @ a1081 )
      | ~ ( c1_1 @ a1081 ) )
   <= ( ! [X17: $i] :
          ( ~ ( c2_1 @ X17 )
          | ~ ( c1_1 @ X17 )
          | ~ ( c3_1 @ X17 ) )
      & ( c3_1 @ a1081 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl620,zip_derived_cl354]) ).

thf('77',plain,
    ( ~ ! [X17: $i] :
          ( ~ ( c2_1 @ X17 )
          | ~ ( c1_1 @ X17 )
          | ~ ( c3_1 @ X17 ) )
    | ~ ( c2_1 @ a1081 )
    | ~ ( c3_1 @ a1081 )
    | ~ ( c1_1 @ a1081 ) ),
    inference(split,[status(esa)],[zip_derived_cl3631]) ).

thf(zip_derived_cl94,plain,
    ( ~ hskp55
    | ~ ( c0_1 @ a1081 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('78',plain,
    ( ~ ( c0_1 @ a1081 )
    | ~ hskp55 ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf('79',plain,
    ( ( c3_1 @ a1081 )
    | ~ hskp55 ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl18,plain,
    ! [X31: $i] :
      ( hskp55
      | ~ ( c0_1 @ X31 )
      | ( c2_1 @ X31 )
      | ( c1_1 @ X31 )
      | ~ ndr1_0
      | hskp21 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('80',plain,
    ( hskp55
    | hskp21
    | ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ( c1_1 @ X2 )
        | ( c2_1 @ X2 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl229,plain,
    ( ~ hskp21
    | ~ ( c3_1 @ a1082 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('81',plain,
    ( ~ hskp21
    | ~ ( c3_1 @ a1082 ) ),
    inference(split,[status(esa)],[zip_derived_cl229]) ).

thf(zip_derived_cl230,plain,
    ( ~ hskp21
    | ~ ( c2_1 @ a1082 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('82',plain,
    ( ~ hskp21
    | ~ ( c2_1 @ a1082 ) ),
    inference(split,[status(esa)],[zip_derived_cl230]) ).

thf(zip_derived_cl231,plain,
    ( ~ hskp21
    | ~ ( c0_1 @ a1082 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('83',plain,
    ( ~ hskp21
    | ~ ( c0_1 @ a1082 ) ),
    inference(split,[status(esa)],[zip_derived_cl231]) ).

thf(zip_derived_cl888,plain,
    ( ~ ( c3_1 @ a1082 )
   <= ~ ( c3_1 @ a1082 ) ),
    inference(split,[status(esa)],[zip_derived_cl229]) ).

thf(zip_derived_cl430_032,plain,
    ( ! [X48: $i] :
        ( ( c3_1 @ X48 )
        | ( c2_1 @ X48 )
        | ( c0_1 @ X48 ) )
   <= ! [X48: $i] :
        ( ( c3_1 @ X48 )
        | ( c2_1 @ X48 )
        | ( c0_1 @ X48 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl2586,plain,
    ( ( ( c2_1 @ a1082 )
      | ( c0_1 @ a1082 ) )
   <= ( ~ ( c3_1 @ a1082 )
      & ! [X48: $i] :
          ( ( c3_1 @ X48 )
          | ( c2_1 @ X48 )
          | ( c0_1 @ X48 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl888,zip_derived_cl430]) ).

thf('84',plain,
    ( ( c3_1 @ a1082 )
    | ( c2_1 @ a1082 )
    | ~ ! [X48: $i] :
          ( ( c3_1 @ X48 )
          | ( c2_1 @ X48 )
          | ( c0_1 @ X48 ) )
    | ( c0_1 @ a1082 ) ),
    inference(split,[status(esa)],[zip_derived_cl2586]) ).

thf('85',plain,
    ( hskp1
    | ! [X48: $i] :
        ( ( c3_1 @ X48 )
        | ( c2_1 @ X48 )
        | ( c0_1 @ X48 ) )
    | ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ( c1_1 @ X2 )
        | ( c2_1 @ X2 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl608_033,plain,
    ( ~ ( c3_1 @ a1084 )
   <= ~ ( c3_1 @ a1084 ) ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf(zip_derived_cl343_034,plain,
    ( ! [X11: $i] :
        ( ( c3_1 @ X11 )
        | ( c1_1 @ X11 )
        | ~ ( c2_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c3_1 @ X11 )
        | ( c1_1 @ X11 )
        | ~ ( c2_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl2018,plain,
    ( ( ( c1_1 @ a1084 )
      | ~ ( c2_1 @ a1084 ) )
   <= ( ~ ( c3_1 @ a1084 )
      & ! [X11: $i] :
          ( ( c3_1 @ X11 )
          | ( c1_1 @ X11 )
          | ~ ( c2_1 @ X11 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl608,zip_derived_cl343]) ).

thf(zip_derived_cl12120,plain,
    ( ( c1_1 @ a1084 )
   <= ( c1_1 @ a1084 ) ),
    inference(split,[status(esa)],[zip_derived_cl2018]) ).

thf(zip_derived_cl338_035,plain,
    ( ! [X9: $i] :
        ( ~ ( c0_1 @ X9 )
        | ~ ( c1_1 @ X9 )
        | ~ ( c2_1 @ X9 ) )
   <= ! [X9: $i] :
        ( ~ ( c0_1 @ X9 )
        | ~ ( c1_1 @ X9 )
        | ~ ( c2_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl12138,plain,
    ( ( ~ ( c0_1 @ a1084 )
      | ~ ( c2_1 @ a1084 ) )
   <= ( ! [X9: $i] :
          ( ~ ( c0_1 @ X9 )
          | ~ ( c1_1 @ X9 )
          | ~ ( c2_1 @ X9 ) )
      & ( c1_1 @ a1084 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl12120,zip_derived_cl338]) ).

thf('86',plain,
    ( ~ ( c2_1 @ a1084 )
    | ~ ( c1_1 @ a1084 )
    | ~ ( c0_1 @ a1084 )
    | ~ ! [X9: $i] :
          ( ~ ( c0_1 @ X9 )
          | ~ ( c1_1 @ X9 )
          | ~ ( c2_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12138]) ).

thf(zip_derived_cl17,plain,
    ! [X30: $i] :
      ( hskp22
      | ~ ( c1_1 @ X30 )
      | ( c2_1 @ X30 )
      | ~ ( c3_1 @ X30 )
      | ~ ndr1_0
      | hskp56 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('87',plain,
    ( hskp56
    | ! [X5: $i] :
        ( ~ ( c3_1 @ X5 )
        | ( c2_1 @ X5 )
        | ~ ( c1_1 @ X5 ) )
    | ~ ndr1_0
    | hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl32,plain,
    ! [X53: $i] :
      ( ( c0_1 @ X53 )
      | ~ ( c1_1 @ X53 )
      | ( c3_1 @ X53 )
      | ~ ndr1_0
      | hskp36
      | hskp48 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('88',plain,
    ( hskp36
    | ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ~ ( c1_1 @ X53 )
        | ( c3_1 @ X53 ) )
    | ~ ndr1_0
    | hskp48 ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl3,plain,
    ! [X2: $i] :
      ( ~ ( c0_1 @ X2 )
      | ( c1_1 @ X2 )
      | ( c2_1 @ X2 )
      | ~ ndr1_0
      | hskp60
      | hskp26 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('89',plain,
    ( hskp60
    | hskp26
    | ~ ndr1_0
    | ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ( c1_1 @ X2 )
        | ( c2_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl121,plain,
    ( ~ hskp48
    | ( c3_1 @ a1062 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('90',plain,
    ( ~ hskp48
    | ( c3_1 @ a1062 ) ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl122,plain,
    ( ~ hskp48
    | ( c2_1 @ a1062 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('91',plain,
    ( ~ hskp48
    | ( c2_1 @ a1062 ) ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl123,plain,
    ( ~ hskp48
    | ( c0_1 @ a1062 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('92',plain,
    ( ~ hskp48
    | ( c0_1 @ a1062 ) ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl672,plain,
    ( ( c3_1 @ a1062 )
   <= ( c3_1 @ a1062 ) ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl339_036,plain,
    ( ! [X8: $i] :
        ( ~ ( c2_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c3_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ~ ( c2_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c3_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl3854,plain,
    ( ( ~ ( c2_1 @ a1062 )
      | ~ ( c0_1 @ a1062 ) )
   <= ( ! [X8: $i] :
          ( ~ ( c2_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
      & ( c3_1 @ a1062 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl672,zip_derived_cl339]) ).

thf('93',plain,
    ( ~ ( c3_1 @ a1062 )
    | ~ ( c2_1 @ a1062 )
    | ~ ! [X8: $i] :
          ( ~ ( c2_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
    | ~ ( c0_1 @ a1062 ) ),
    inference(split,[status(esa)],[zip_derived_cl3854]) ).

thf(zip_derived_cl90,plain,
    ( ~ hskp56
    | ~ ( c1_1 @ a1084 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl610,plain,
    ( ~ ( c1_1 @ a1084 )
   <= ~ ( c1_1 @ a1084 ) ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl326,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ( c1_1 @ X2 )
        | ( c2_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ( c1_1 @ X2 )
        | ( c2_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl2033,plain,
    ( ( ~ ( c0_1 @ a1084 )
      | ( c2_1 @ a1084 ) )
   <= ( ~ ( c1_1 @ a1084 )
      & ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ( c1_1 @ X2 )
          | ( c2_1 @ X2 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl610,zip_derived_cl326]) ).

thf('94',plain,
    ( ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ( c1_1 @ X2 )
          | ( c2_1 @ X2 ) )
    | ( c2_1 @ a1084 )
    | ~ ( c0_1 @ a1084 )
    | ( c1_1 @ a1084 ) ),
    inference(split,[status(esa)],[zip_derived_cl2033]) ).

thf(zip_derived_cl454_037,plain,
    ( ! [X56: $i] :
        ( ~ ( c0_1 @ X56 )
        | ~ ( c2_1 @ X56 )
        | ( c1_1 @ X56 ) )
   <= ! [X56: $i] :
        ( ~ ( c0_1 @ X56 )
        | ~ ( c2_1 @ X56 )
        | ( c1_1 @ X56 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl610_038,plain,
    ( ~ ( c1_1 @ a1084 )
   <= ~ ( c1_1 @ a1084 ) ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl2739,plain,
    ( ( ~ ( c2_1 @ a1084 )
      | ~ ( c0_1 @ a1084 ) )
   <= ( ~ ( c1_1 @ a1084 )
      & ! [X56: $i] :
          ( ~ ( c0_1 @ X56 )
          | ~ ( c2_1 @ X56 )
          | ( c1_1 @ X56 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl454,zip_derived_cl610]) ).

thf('95',plain,
    ( ~ ! [X56: $i] :
          ( ~ ( c0_1 @ X56 )
          | ~ ( c2_1 @ X56 )
          | ( c1_1 @ X56 ) )
    | ~ ( c2_1 @ a1084 )
    | ( c1_1 @ a1084 )
    | ~ ( c0_1 @ a1084 ) ),
    inference(split,[status(esa)],[zip_derived_cl2739]) ).

thf(zip_derived_cl453_039,plain,
    ( ! [X57: $i] :
        ( ~ ( c2_1 @ X57 )
        | ~ ( c0_1 @ X57 )
        | ( c3_1 @ X57 ) )
   <= ! [X57: $i] :
        ( ~ ( c2_1 @ X57 )
        | ~ ( c0_1 @ X57 )
        | ( c3_1 @ X57 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl608_040,plain,
    ( ~ ( c3_1 @ a1084 )
   <= ~ ( c3_1 @ a1084 ) ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf(zip_derived_cl2644,plain,
    ( ( ~ ( c0_1 @ a1084 )
      | ~ ( c2_1 @ a1084 ) )
   <= ( ~ ( c3_1 @ a1084 )
      & ! [X57: $i] :
          ( ~ ( c2_1 @ X57 )
          | ~ ( c0_1 @ X57 )
          | ( c3_1 @ X57 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl453,zip_derived_cl608]) ).

thf('96',plain,
    ( ~ ( c2_1 @ a1084 )
    | ~ ! [X57: $i] :
          ( ~ ( c2_1 @ X57 )
          | ~ ( c0_1 @ X57 )
          | ( c3_1 @ X57 ) )
    | ~ ( c0_1 @ a1084 )
    | ( c3_1 @ a1084 ) ),
    inference(split,[status(esa)],[zip_derived_cl2644]) ).

thf('97',plain,
    ( hskp47
    | ! [X57: $i] :
        ( ~ ( c2_1 @ X57 )
        | ~ ( c0_1 @ X57 )
        | ( c3_1 @ X57 ) )
    | ! [X56: $i] :
        ( ~ ( c0_1 @ X56 )
        | ~ ( c2_1 @ X56 )
        | ( c1_1 @ X56 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl141,plain,
    ( ~ hskp43
    | ( c0_1 @ a1049 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('98',plain,
    ( ( c0_1 @ a1049 )
    | ~ hskp43 ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf(zip_derived_cl142,plain,
    ( ~ hskp43
    | ( c2_1 @ a1049 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('99',plain,
    ( ( c2_1 @ a1049 )
    | ~ hskp43 ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf(zip_derived_cl143,plain,
    ( ~ hskp43
    | ( c1_1 @ a1049 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('100',plain,
    ( ( c1_1 @ a1049 )
    | ~ hskp43 ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(zip_derived_cl716,plain,
    ( ( c1_1 @ a1049 )
   <= ( c1_1 @ a1049 ) ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(zip_derived_cl338_041,plain,
    ( ! [X9: $i] :
        ( ~ ( c0_1 @ X9 )
        | ~ ( c1_1 @ X9 )
        | ~ ( c2_1 @ X9 ) )
   <= ! [X9: $i] :
        ( ~ ( c0_1 @ X9 )
        | ~ ( c1_1 @ X9 )
        | ~ ( c2_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl4059,plain,
    ( ( ~ ( c0_1 @ a1049 )
      | ~ ( c2_1 @ a1049 ) )
   <= ( ! [X9: $i] :
          ( ~ ( c0_1 @ X9 )
          | ~ ( c1_1 @ X9 )
          | ~ ( c2_1 @ X9 ) )
      & ( c1_1 @ a1049 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl716,zip_derived_cl338]) ).

thf('101',plain,
    ( ~ ( c0_1 @ a1049 )
    | ~ ( c1_1 @ a1049 )
    | ~ ! [X9: $i] :
          ( ~ ( c0_1 @ X9 )
          | ~ ( c1_1 @ X9 )
          | ~ ( c2_1 @ X9 ) )
    | ~ ( c2_1 @ a1049 ) ),
    inference(split,[status(esa)],[zip_derived_cl4059]) ).

thf('102',plain,
    ( ~ ( c3_1 @ a1084 )
    | ~ hskp56 ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf('103',plain,
    ( ~ ( c1_1 @ a1084 )
    | ~ hskp56 ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl91,plain,
    ( ~ hskp56
    | ( c0_1 @ a1084 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('104',plain,
    ( ( c0_1 @ a1084 )
    | ~ hskp56 ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl1,plain,
    ( hskp43
    | hskp27
    | hskp28 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('105',plain,
    ( hskp27
    | hskp28
    | hskp43 ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl0,plain,
    ( hskp62
    | hskp56
    | hskp63 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('106',plain,
    ( hskp62
    | hskp63
    | hskp56 ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf(zip_derived_cl205,plain,
    ( ~ hskp27
    | ( c3_1 @ a1101 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl840,plain,
    ( ( c3_1 @ a1101 )
   <= ( c3_1 @ a1101 ) ),
    inference(split,[status(esa)],[zip_derived_cl205]) ).

thf(zip_derived_cl354_042,plain,
    ( ! [X17: $i] :
        ( ~ ( c2_1 @ X17 )
        | ~ ( c1_1 @ X17 )
        | ~ ( c3_1 @ X17 ) )
   <= ! [X17: $i] :
        ( ~ ( c2_1 @ X17 )
        | ~ ( c1_1 @ X17 )
        | ~ ( c3_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl4482,plain,
    ( ( ~ ( c2_1 @ a1101 )
      | ~ ( c1_1 @ a1101 ) )
   <= ( ! [X17: $i] :
          ( ~ ( c2_1 @ X17 )
          | ~ ( c1_1 @ X17 )
          | ~ ( c3_1 @ X17 ) )
      & ( c3_1 @ a1101 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl840,zip_derived_cl354]) ).

thf('107',plain,
    ( ~ ! [X17: $i] :
          ( ~ ( c2_1 @ X17 )
          | ~ ( c1_1 @ X17 )
          | ~ ( c3_1 @ X17 ) )
    | ~ ( c2_1 @ a1101 )
    | ~ ( c1_1 @ a1101 )
    | ~ ( c3_1 @ a1101 ) ),
    inference(split,[status(esa)],[zip_derived_cl4482]) ).

thf('108',plain,
    ( ( c3_1 @ a1101 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl205]) ).

thf(zip_derived_cl206,plain,
    ( ~ hskp27
    | ( c1_1 @ a1101 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('109',plain,
    ( ( c1_1 @ a1101 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl206]) ).

thf(zip_derived_cl840_043,plain,
    ( ( c3_1 @ a1101 )
   <= ( c3_1 @ a1101 ) ),
    inference(split,[status(esa)],[zip_derived_cl205]) ).

thf(zip_derived_cl335_044,plain,
    ( ! [X5: $i] :
        ( ~ ( c3_1 @ X5 )
        | ( c2_1 @ X5 )
        | ~ ( c1_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ~ ( c3_1 @ X5 )
        | ( c2_1 @ X5 )
        | ~ ( c1_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl4479,plain,
    ( ( ( c2_1 @ a1101 )
      | ~ ( c1_1 @ a1101 ) )
   <= ( ! [X5: $i] :
          ( ~ ( c3_1 @ X5 )
          | ( c2_1 @ X5 )
          | ~ ( c1_1 @ X5 ) )
      & ( c3_1 @ a1101 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl840,zip_derived_cl335]) ).

thf('110',plain,
    ( ( c2_1 @ a1101 )
    | ~ ( c1_1 @ a1101 )
    | ~ ! [X5: $i] :
          ( ~ ( c3_1 @ X5 )
          | ( c2_1 @ X5 )
          | ~ ( c1_1 @ X5 ) )
    | ~ ( c3_1 @ a1101 ) ),
    inference(split,[status(esa)],[zip_derived_cl4479]) ).

thf(zip_derived_cl169,plain,
    ( ~ hskp36
    | ( c3_1 @ a1034 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl768,plain,
    ( ( c3_1 @ a1034 )
   <= ( c3_1 @ a1034 ) ),
    inference(split,[status(esa)],[zip_derived_cl169]) ).

thf(zip_derived_cl354_045,plain,
    ( ! [X17: $i] :
        ( ~ ( c2_1 @ X17 )
        | ~ ( c1_1 @ X17 )
        | ~ ( c3_1 @ X17 ) )
   <= ! [X17: $i] :
        ( ~ ( c2_1 @ X17 )
        | ~ ( c1_1 @ X17 )
        | ~ ( c3_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl4263,plain,
    ( ( ~ ( c2_1 @ a1034 )
      | ~ ( c1_1 @ a1034 ) )
   <= ( ! [X17: $i] :
          ( ~ ( c2_1 @ X17 )
          | ~ ( c1_1 @ X17 )
          | ~ ( c3_1 @ X17 ) )
      & ( c3_1 @ a1034 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl768,zip_derived_cl354]) ).

thf('111',plain,
    ( ~ ! [X17: $i] :
          ( ~ ( c2_1 @ X17 )
          | ~ ( c1_1 @ X17 )
          | ~ ( c3_1 @ X17 ) )
    | ~ ( c2_1 @ a1034 )
    | ~ ( c1_1 @ a1034 )
    | ~ ( c3_1 @ a1034 ) ),
    inference(split,[status(esa)],[zip_derived_cl4263]) ).

thf('112',plain,
    ( ( c3_1 @ a1034 )
    | ~ hskp36 ),
    inference(split,[status(esa)],[zip_derived_cl169]) ).

thf(zip_derived_cl171,plain,
    ( ~ hskp36
    | ( c1_1 @ a1034 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('113',plain,
    ( ( c1_1 @ a1034 )
    | ~ hskp36 ),
    inference(split,[status(esa)],[zip_derived_cl171]) ).

thf(zip_derived_cl768_046,plain,
    ( ( c3_1 @ a1034 )
   <= ( c3_1 @ a1034 ) ),
    inference(split,[status(esa)],[zip_derived_cl169]) ).

thf(zip_derived_cl335_047,plain,
    ( ! [X5: $i] :
        ( ~ ( c3_1 @ X5 )
        | ( c2_1 @ X5 )
        | ~ ( c1_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ~ ( c3_1 @ X5 )
        | ( c2_1 @ X5 )
        | ~ ( c1_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl4260,plain,
    ( ( ( c2_1 @ a1034 )
      | ~ ( c1_1 @ a1034 ) )
   <= ( ! [X5: $i] :
          ( ~ ( c3_1 @ X5 )
          | ( c2_1 @ X5 )
          | ~ ( c1_1 @ X5 ) )
      & ( c3_1 @ a1034 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl768,zip_derived_cl335]) ).

thf('114',plain,
    ( ( c2_1 @ a1034 )
    | ~ ! [X5: $i] :
          ( ~ ( c3_1 @ X5 )
          | ( c2_1 @ X5 )
          | ~ ( c1_1 @ X5 ) )
    | ~ ( c3_1 @ a1034 )
    | ~ ( c1_1 @ a1034 ) ),
    inference(split,[status(esa)],[zip_derived_cl4260]) ).

thf(zip_derived_cl61,plain,
    ( ~ hskp63
    | ~ ( c2_1 @ a1105 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('115',plain,
    ( ~ hskp63
    | ~ ( c2_1 @ a1105 ) ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(zip_derived_cl62,plain,
    ( ~ hskp63
    | ( c1_1 @ a1105 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('116',plain,
    ( ~ hskp63
    | ( c1_1 @ a1105 ) ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf('117',plain,
    ( ~ hskp63
    | ( c3_1 @ a1105 ) ),
    inference(split,[status(esa)],[zip_derived_cl63]) ).

thf(zip_derived_cl556_048,plain,
    ( ( c3_1 @ a1105 )
   <= ( c3_1 @ a1105 ) ),
    inference(split,[status(esa)],[zip_derived_cl63]) ).

thf(zip_derived_cl335_049,plain,
    ( ! [X5: $i] :
        ( ~ ( c3_1 @ X5 )
        | ( c2_1 @ X5 )
        | ~ ( c1_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ~ ( c3_1 @ X5 )
        | ( c2_1 @ X5 )
        | ~ ( c1_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl3462,plain,
    ( ( ( c2_1 @ a1105 )
      | ~ ( c1_1 @ a1105 ) )
   <= ( ! [X5: $i] :
          ( ~ ( c3_1 @ X5 )
          | ( c2_1 @ X5 )
          | ~ ( c1_1 @ X5 ) )
      & ( c3_1 @ a1105 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl556,zip_derived_cl335]) ).

thf('118',plain,
    ( ( c2_1 @ a1105 )
    | ~ ( c3_1 @ a1105 )
    | ~ ! [X5: $i] :
          ( ~ ( c3_1 @ X5 )
          | ( c2_1 @ X5 )
          | ~ ( c1_1 @ X5 ) )
    | ~ ( c1_1 @ a1105 ) ),
    inference(split,[status(esa)],[zip_derived_cl3462]) ).

thf(zip_derived_cl209,plain,
    ( ~ hskp26
    | ~ ( c3_1 @ a1098 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('119',plain,
    ( ~ hskp26
    | ~ ( c3_1 @ a1098 ) ),
    inference(split,[status(esa)],[zip_derived_cl209]) ).

thf(zip_derived_cl210,plain,
    ( ~ hskp26
    | ( c1_1 @ a1098 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('120',plain,
    ( ( c1_1 @ a1098 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl210]) ).

thf(zip_derived_cl211,plain,
    ( ~ hskp26
    | ~ ( c0_1 @ a1098 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('121',plain,
    ( ~ hskp26
    | ~ ( c0_1 @ a1098 ) ),
    inference(split,[status(esa)],[zip_derived_cl211]) ).

thf(zip_derived_cl441,plain,
    ( ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ~ ( c1_1 @ X53 )
        | ( c3_1 @ X53 ) )
   <= ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ~ ( c1_1 @ X53 )
        | ( c3_1 @ X53 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl848,plain,
    ( ~ ( c3_1 @ a1098 )
   <= ~ ( c3_1 @ a1098 ) ),
    inference(split,[status(esa)],[zip_derived_cl209]) ).

thf(zip_derived_cl2451,plain,
    ( ( ~ ( c1_1 @ a1098 )
      | ( c0_1 @ a1098 ) )
   <= ( ~ ( c3_1 @ a1098 )
      & ! [X53: $i] :
          ( ( c0_1 @ X53 )
          | ~ ( c1_1 @ X53 )
          | ( c3_1 @ X53 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl441,zip_derived_cl848]) ).

thf('122',plain,
    ( ( c3_1 @ a1098 )
    | ( c0_1 @ a1098 )
    | ~ ! [X53: $i] :
          ( ( c0_1 @ X53 )
          | ~ ( c1_1 @ X53 )
          | ( c3_1 @ X53 ) )
    | ~ ( c1_1 @ a1098 ) ),
    inference(split,[status(esa)],[zip_derived_cl2451]) ).

thf(zip_derived_cl75,plain,
    ( ~ hskp60
    | ( c3_1 @ a1097 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('123',plain,
    ( ( c3_1 @ a1097 )
    | ~ hskp60 ),
    inference(split,[status(esa)],[zip_derived_cl75]) ).

thf(zip_derived_cl580,plain,
    ( ( c3_1 @ a1097 )
   <= ( c3_1 @ a1097 ) ),
    inference(split,[status(esa)],[zip_derived_cl75]) ).

thf(zip_derived_cl354_050,plain,
    ( ! [X17: $i] :
        ( ~ ( c2_1 @ X17 )
        | ~ ( c1_1 @ X17 )
        | ~ ( c3_1 @ X17 ) )
   <= ! [X17: $i] :
        ( ~ ( c2_1 @ X17 )
        | ~ ( c1_1 @ X17 )
        | ~ ( c3_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl3507,plain,
    ( ( ~ ( c2_1 @ a1097 )
      | ~ ( c1_1 @ a1097 ) )
   <= ( ! [X17: $i] :
          ( ~ ( c2_1 @ X17 )
          | ~ ( c1_1 @ X17 )
          | ~ ( c3_1 @ X17 ) )
      & ( c3_1 @ a1097 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl580,zip_derived_cl354]) ).

thf('124',plain,
    ( ~ ! [X17: $i] :
          ( ~ ( c2_1 @ X17 )
          | ~ ( c1_1 @ X17 )
          | ~ ( c3_1 @ X17 ) )
    | ~ ( c2_1 @ a1097 )
    | ~ ( c3_1 @ a1097 )
    | ~ ( c1_1 @ a1097 ) ),
    inference(split,[status(esa)],[zip_derived_cl3507]) ).

thf(zip_derived_cl73,plain,
    ( ~ hskp60
    | ( c2_1 @ a1097 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('125',plain,
    ( ( c2_1 @ a1097 )
    | ~ hskp60 ),
    inference(split,[status(esa)],[zip_derived_cl73]) ).

thf(zip_derived_cl74,plain,
    ( ~ hskp60
    | ~ ( c0_1 @ a1097 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('126',plain,
    ( ~ ( c0_1 @ a1097 )
    | ~ hskp60 ),
    inference(split,[status(esa)],[zip_derived_cl74]) ).

thf(zip_derived_cl9332,plain,
    ( ~ ( c1_1 @ a1097 )
   <= ~ ( c1_1 @ a1097 ) ),
    inference(split,[status(esa)],[zip_derived_cl3507]) ).

thf(zip_derived_cl415_051,plain,
    ( ! [X40: $i] :
        ( ~ ( c2_1 @ X40 )
        | ( c0_1 @ X40 )
        | ( c1_1 @ X40 ) )
   <= ! [X40: $i] :
        ( ~ ( c2_1 @ X40 )
        | ( c0_1 @ X40 )
        | ( c1_1 @ X40 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl9353,plain,
    ( ( ~ ( c2_1 @ a1097 )
      | ( c0_1 @ a1097 ) )
   <= ( ~ ( c1_1 @ a1097 )
      & ! [X40: $i] :
          ( ~ ( c2_1 @ X40 )
          | ( c0_1 @ X40 )
          | ( c1_1 @ X40 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl9332,zip_derived_cl415]) ).

thf('127',plain,
    ( ( c1_1 @ a1097 )
    | ~ ! [X40: $i] :
          ( ~ ( c2_1 @ X40 )
          | ( c0_1 @ X40 )
          | ( c1_1 @ X40 ) )
    | ( c0_1 @ a1097 )
    | ~ ( c2_1 @ a1097 ) ),
    inference(split,[status(esa)],[zip_derived_cl9353]) ).

thf(zip_derived_cl454_052,plain,
    ( ! [X56: $i] :
        ( ~ ( c0_1 @ X56 )
        | ~ ( c2_1 @ X56 )
        | ( c1_1 @ X56 ) )
   <= ! [X56: $i] :
        ( ~ ( c0_1 @ X56 )
        | ~ ( c2_1 @ X56 )
        | ( c1_1 @ X56 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl227,plain,
    ( ~ hskp22
    | ~ ( c1_1 @ a1083 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl884,plain,
    ( ~ ( c1_1 @ a1083 )
   <= ~ ( c1_1 @ a1083 ) ),
    inference(split,[status(esa)],[zip_derived_cl227]) ).

thf(zip_derived_cl2726,plain,
    ( ( ~ ( c2_1 @ a1083 )
      | ~ ( c0_1 @ a1083 ) )
   <= ( ~ ( c1_1 @ a1083 )
      & ! [X56: $i] :
          ( ~ ( c0_1 @ X56 )
          | ~ ( c2_1 @ X56 )
          | ( c1_1 @ X56 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl454,zip_derived_cl884]) ).

thf('128',plain,
    ( ~ ( c0_1 @ a1083 )
    | ~ ! [X56: $i] :
          ( ~ ( c0_1 @ X56 )
          | ~ ( c2_1 @ X56 )
          | ( c1_1 @ X56 ) )
    | ~ ( c2_1 @ a1083 )
    | ( c1_1 @ a1083 ) ),
    inference(split,[status(esa)],[zip_derived_cl2726]) ).

thf(zip_derived_cl225,plain,
    ( ~ hskp22
    | ( c2_1 @ a1083 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('129',plain,
    ( ( c2_1 @ a1083 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl225]) ).

thf('130',plain,
    ( ~ hskp22
    | ~ ( c1_1 @ a1083 ) ),
    inference(split,[status(esa)],[zip_derived_cl227]) ).

thf(zip_derived_cl884_053,plain,
    ( ~ ( c1_1 @ a1083 )
   <= ~ ( c1_1 @ a1083 ) ),
    inference(split,[status(esa)],[zip_derived_cl227]) ).

thf(zip_derived_cl415_054,plain,
    ( ! [X40: $i] :
        ( ~ ( c2_1 @ X40 )
        | ( c0_1 @ X40 )
        | ( c1_1 @ X40 ) )
   <= ! [X40: $i] :
        ( ~ ( c2_1 @ X40 )
        | ( c0_1 @ X40 )
        | ( c1_1 @ X40 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl2565,plain,
    ( ( ~ ( c2_1 @ a1083 )
      | ( c0_1 @ a1083 ) )
   <= ( ~ ( c1_1 @ a1083 )
      & ! [X40: $i] :
          ( ~ ( c2_1 @ X40 )
          | ( c0_1 @ X40 )
          | ( c1_1 @ X40 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl884,zip_derived_cl415]) ).

thf('131',plain,
    ( ~ ! [X40: $i] :
          ( ~ ( c2_1 @ X40 )
          | ( c0_1 @ X40 )
          | ( c1_1 @ X40 ) )
    | ( c0_1 @ a1083 )
    | ( c1_1 @ a1083 )
    | ~ ( c2_1 @ a1083 ) ),
    inference(split,[status(esa)],[zip_derived_cl2565]) ).

thf(zip_derived_cl201,plain,
    ( ~ hskp28
    | ~ ( c0_1 @ a1102 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('132',plain,
    ( ~ ( c0_1 @ a1102 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl201]) ).

thf(zip_derived_cl202,plain,
    ( ~ hskp28
    | ( c2_1 @ a1102 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('133',plain,
    ( ( c2_1 @ a1102 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl202]) ).

thf(zip_derived_cl203,plain,
    ( ~ hskp28
    | ~ ( c1_1 @ a1102 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('134',plain,
    ( ~ ( c1_1 @ a1102 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl203]) ).

thf(zip_derived_cl836,plain,
    ( ~ ( c1_1 @ a1102 )
   <= ~ ( c1_1 @ a1102 ) ),
    inference(split,[status(esa)],[zip_derived_cl203]) ).

thf(zip_derived_cl415_055,plain,
    ( ! [X40: $i] :
        ( ~ ( c2_1 @ X40 )
        | ( c0_1 @ X40 )
        | ( c1_1 @ X40 ) )
   <= ! [X40: $i] :
        ( ~ ( c2_1 @ X40 )
        | ( c0_1 @ X40 )
        | ( c1_1 @ X40 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl2402,plain,
    ( ( ~ ( c2_1 @ a1102 )
      | ( c0_1 @ a1102 ) )
   <= ( ~ ( c1_1 @ a1102 )
      & ! [X40: $i] :
          ( ~ ( c2_1 @ X40 )
          | ( c0_1 @ X40 )
          | ( c1_1 @ X40 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl836,zip_derived_cl415]) ).

thf('135',plain,
    ( ~ ! [X40: $i] :
          ( ~ ( c2_1 @ X40 )
          | ( c0_1 @ X40 )
          | ( c1_1 @ X40 ) )
    | ( c0_1 @ a1102 )
    | ( c1_1 @ a1102 )
    | ~ ( c2_1 @ a1102 ) ),
    inference(split,[status(esa)],[zip_derived_cl2402]) ).

thf(zip_derived_cl309,plain,
    ( ~ hskp1
    | ( c2_1 @ a1023 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('136',plain,
    ( ( c2_1 @ a1023 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl309]) ).

thf(zip_derived_cl310,plain,
    ( ~ hskp1
    | ~ ( c1_1 @ a1023 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('137',plain,
    ( ~ ( c1_1 @ a1023 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl310]) ).

thf(zip_derived_cl311,plain,
    ( ~ hskp1
    | ~ ( c0_1 @ a1023 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('138',plain,
    ( ~ ( c0_1 @ a1023 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl311]) ).

thf(zip_derived_cl1050,plain,
    ( ~ ( c1_1 @ a1023 )
   <= ~ ( c1_1 @ a1023 ) ),
    inference(split,[status(esa)],[zip_derived_cl310]) ).

thf(zip_derived_cl415_056,plain,
    ( ! [X40: $i] :
        ( ~ ( c2_1 @ X40 )
        | ( c0_1 @ X40 )
        | ( c1_1 @ X40 ) )
   <= ! [X40: $i] :
        ( ~ ( c2_1 @ X40 )
        | ( c0_1 @ X40 )
        | ( c1_1 @ X40 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl3255,plain,
    ( ( ~ ( c2_1 @ a1023 )
      | ( c0_1 @ a1023 ) )
   <= ( ~ ( c1_1 @ a1023 )
      & ! [X40: $i] :
          ( ~ ( c2_1 @ X40 )
          | ( c0_1 @ X40 )
          | ( c1_1 @ X40 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1050,zip_derived_cl415]) ).

thf('139',plain,
    ( ~ ! [X40: $i] :
          ( ~ ( c2_1 @ X40 )
          | ( c0_1 @ X40 )
          | ( c1_1 @ X40 ) )
    | ( c1_1 @ a1023 )
    | ( c0_1 @ a1023 )
    | ~ ( c2_1 @ a1023 ) ),
    inference(split,[status(esa)],[zip_derived_cl3255]) ).

thf(zip_derived_cl620_057,plain,
    ( ( c3_1 @ a1081 )
   <= ( c3_1 @ a1081 ) ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl334_058,plain,
    ( ! [X6: $i] :
        ( ~ ( c3_1 @ X6 )
        | ( c0_1 @ X6 )
        | ( c2_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ~ ( c3_1 @ X6 )
        | ( c0_1 @ X6 )
        | ( c2_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl3629,plain,
    ( ( ( c0_1 @ a1081 )
      | ( c2_1 @ a1081 ) )
   <= ( ! [X6: $i] :
          ( ~ ( c3_1 @ X6 )
          | ( c0_1 @ X6 )
          | ( c2_1 @ X6 ) )
      & ( c3_1 @ a1081 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl620,zip_derived_cl334]) ).

thf('140',plain,
    ( ( c2_1 @ a1081 )
    | ( c0_1 @ a1081 )
    | ~ ! [X6: $i] :
          ( ~ ( c3_1 @ X6 )
          | ( c0_1 @ X6 )
          | ( c2_1 @ X6 ) )
    | ~ ( c3_1 @ a1081 ) ),
    inference(split,[status(esa)],[zip_derived_cl3629]) ).

thf('141',plain,
    ( ( c3_1 @ a1056 )
    | ~ hskp47 ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl125,plain,
    ( ~ hskp47
    | ( c2_1 @ a1056 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('142',plain,
    ( ( c2_1 @ a1056 )
    | ~ hskp47 ),
    inference(split,[status(esa)],[zip_derived_cl125]) ).

thf('143',plain,
    ( ( c1_1 @ a1056 )
    | ~ hskp47 ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl684_059,plain,
    ( ( c3_1 @ a1056 )
   <= ( c3_1 @ a1056 ) ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl354_060,plain,
    ( ! [X17: $i] :
        ( ~ ( c2_1 @ X17 )
        | ~ ( c1_1 @ X17 )
        | ~ ( c3_1 @ X17 ) )
   <= ! [X17: $i] :
        ( ~ ( c2_1 @ X17 )
        | ~ ( c1_1 @ X17 )
        | ~ ( c3_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl3911,plain,
    ( ( ~ ( c2_1 @ a1056 )
      | ~ ( c1_1 @ a1056 ) )
   <= ( ! [X17: $i] :
          ( ~ ( c2_1 @ X17 )
          | ~ ( c1_1 @ X17 )
          | ~ ( c3_1 @ X17 ) )
      & ( c3_1 @ a1056 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl684,zip_derived_cl354]) ).

thf('144',plain,
    ( ~ ! [X17: $i] :
          ( ~ ( c2_1 @ X17 )
          | ~ ( c1_1 @ X17 )
          | ~ ( c3_1 @ X17 ) )
    | ~ ( c2_1 @ a1056 )
    | ~ ( c3_1 @ a1056 )
    | ~ ( c1_1 @ a1056 ) ),
    inference(split,[status(esa)],[zip_derived_cl3911]) ).

thf(zip_derived_cl67,plain,
    ( ~ hskp62
    | ( c1_1 @ a1103 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('145',plain,
    ( ( c1_1 @ a1103 )
    | ~ hskp62 ),
    inference(split,[status(esa)],[zip_derived_cl67]) ).

thf(zip_derived_cl65,plain,
    ( ~ hskp62
    | ( c2_1 @ a1103 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('146',plain,
    ( ( c2_1 @ a1103 )
    | ~ hskp62 ),
    inference(split,[status(esa)],[zip_derived_cl65]) ).

thf(zip_derived_cl66,plain,
    ( ~ hskp62
    | ( c3_1 @ a1103 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('147',plain,
    ( ( c3_1 @ a1103 )
    | ~ hskp62 ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf(zip_derived_cl562,plain,
    ( ( c3_1 @ a1103 )
   <= ( c3_1 @ a1103 ) ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf(zip_derived_cl354_061,plain,
    ( ! [X17: $i] :
        ( ~ ( c2_1 @ X17 )
        | ~ ( c1_1 @ X17 )
        | ~ ( c3_1 @ X17 ) )
   <= ! [X17: $i] :
        ( ~ ( c2_1 @ X17 )
        | ~ ( c1_1 @ X17 )
        | ~ ( c3_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl3477,plain,
    ( ( ~ ( c2_1 @ a1103 )
      | ~ ( c1_1 @ a1103 ) )
   <= ( ! [X17: $i] :
          ( ~ ( c2_1 @ X17 )
          | ~ ( c1_1 @ X17 )
          | ~ ( c3_1 @ X17 ) )
      & ( c3_1 @ a1103 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl562,zip_derived_cl354]) ).

thf('148',plain,
    ( ~ ! [X17: $i] :
          ( ~ ( c2_1 @ X17 )
          | ~ ( c1_1 @ X17 )
          | ~ ( c3_1 @ X17 ) )
    | ~ ( c2_1 @ a1103 )
    | ~ ( c3_1 @ a1103 )
    | ~ ( c1_1 @ a1103 ) ),
    inference(split,[status(esa)],[zip_derived_cl3477]) ).

thf(zip_derived_cl684_062,plain,
    ( ( c3_1 @ a1056 )
   <= ( c3_1 @ a1056 ) ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl323_063,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ( c0_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ( c0_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl3906,plain,
    ( ( ~ ( c1_1 @ a1056 )
      | ( c0_1 @ a1056 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c3_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ( c0_1 @ X0 ) )
      & ( c3_1 @ a1056 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl684,zip_derived_cl323]) ).

thf('149',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c3_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ( c0_1 @ X0 ) )
    | ( c0_1 @ a1056 )
    | ~ ( c1_1 @ a1056 )
    | ~ ( c3_1 @ a1056 ) ),
    inference(split,[status(esa)],[zip_derived_cl3906]) ).

thf(zip_derived_cl994_064,plain,
    ( ~ ( c3_1 @ a1036 )
   <= ~ ( c3_1 @ a1036 ) ),
    inference(split,[status(esa)],[zip_derived_cl282]) ).

thf(zip_derived_cl390_065,plain,
    ( ! [X32: $i] :
        ( ( c1_1 @ X32 )
        | ~ ( c0_1 @ X32 )
        | ( c3_1 @ X32 ) )
   <= ! [X32: $i] :
        ( ( c1_1 @ X32 )
        | ~ ( c0_1 @ X32 )
        | ( c3_1 @ X32 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl3040,plain,
    ( ( ( c1_1 @ a1036 )
      | ~ ( c0_1 @ a1036 ) )
   <= ( ~ ( c3_1 @ a1036 )
      & ! [X32: $i] :
          ( ( c1_1 @ X32 )
          | ~ ( c0_1 @ X32 )
          | ( c3_1 @ X32 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl994,zip_derived_cl390]) ).

thf('150',plain,
    ( ( c3_1 @ a1036 )
    | ( c1_1 @ a1036 )
    | ~ ! [X32: $i] :
          ( ( c1_1 @ X32 )
          | ~ ( c0_1 @ X32 )
          | ( c3_1 @ X32 ) )
    | ~ ( c0_1 @ a1036 ) ),
    inference(split,[status(esa)],[zip_derived_cl3040]) ).

thf(zip_derived_cl994_066,plain,
    ( ~ ( c3_1 @ a1036 )
   <= ~ ( c3_1 @ a1036 ) ),
    inference(split,[status(esa)],[zip_derived_cl282]) ).

thf(zip_derived_cl413_067,plain,
    ( ! [X42: $i] :
        ( ( c3_1 @ X42 )
        | ( c1_1 @ X42 )
        | ( c2_1 @ X42 ) )
   <= ! [X42: $i] :
        ( ( c3_1 @ X42 )
        | ( c1_1 @ X42 )
        | ( c2_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl3042,plain,
    ( ( ( c1_1 @ a1036 )
      | ( c2_1 @ a1036 ) )
   <= ( ~ ( c3_1 @ a1036 )
      & ! [X42: $i] :
          ( ( c3_1 @ X42 )
          | ( c1_1 @ X42 )
          | ( c2_1 @ X42 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl994,zip_derived_cl413]) ).

thf('151',plain,
    ( ( c1_1 @ a1036 )
    | ( c2_1 @ a1036 )
    | ~ ! [X42: $i] :
          ( ( c3_1 @ X42 )
          | ( c1_1 @ X42 )
          | ( c2_1 @ X42 ) )
    | ( c3_1 @ a1036 ) ),
    inference(split,[status(esa)],[zip_derived_cl3042]) ).

thf(zip_derived_cl283,plain,
    ( ~ hskp8
    | ~ ( c1_1 @ a1036 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl996,plain,
    ( ~ ( c1_1 @ a1036 )
   <= ~ ( c1_1 @ a1036 ) ),
    inference(split,[status(esa)],[zip_derived_cl283]) ).

thf(zip_derived_cl454_068,plain,
    ( ! [X56: $i] :
        ( ~ ( c0_1 @ X56 )
        | ~ ( c2_1 @ X56 )
        | ( c1_1 @ X56 ) )
   <= ! [X56: $i] :
        ( ~ ( c0_1 @ X56 )
        | ~ ( c2_1 @ X56 )
        | ( c1_1 @ X56 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl3060,plain,
    ( ( ~ ( c0_1 @ a1036 )
      | ~ ( c2_1 @ a1036 ) )
   <= ( ~ ( c1_1 @ a1036 )
      & ! [X56: $i] :
          ( ~ ( c0_1 @ X56 )
          | ~ ( c2_1 @ X56 )
          | ( c1_1 @ X56 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl996,zip_derived_cl454]) ).

thf('152',plain,
    ( ~ ! [X56: $i] :
          ( ~ ( c0_1 @ X56 )
          | ~ ( c2_1 @ X56 )
          | ( c1_1 @ X56 ) )
    | ~ ( c2_1 @ a1036 )
    | ( c1_1 @ a1036 )
    | ~ ( c0_1 @ a1036 ) ),
    inference(split,[status(esa)],[zip_derived_cl3060]) ).

thf(zip_derived_cl281,plain,
    ( ~ hskp8
    | ( c0_1 @ a1036 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('153',plain,
    ( ~ hskp8
    | ( c0_1 @ a1036 ) ),
    inference(split,[status(esa)],[zip_derived_cl281]) ).

thf('154',plain,
    ( ~ hskp8
    | ~ ( c3_1 @ a1036 ) ),
    inference(split,[status(esa)],[zip_derived_cl282]) ).

thf('155',plain,
    ( ~ hskp8
    | ~ ( c1_1 @ a1036 ) ),
    inference(split,[status(esa)],[zip_derived_cl283]) ).

thf('156',plain,
    ( ! [X42: $i] :
        ( ( c3_1 @ X42 )
        | ( c1_1 @ X42 )
        | ( c2_1 @ X42 ) )
    | ! [X32: $i] :
        ( ( c1_1 @ X32 )
        | ~ ( c0_1 @ X32 )
        | ( c3_1 @ X32 ) )
    | ~ ndr1_0
    | ! [X40: $i] :
        ( ~ ( c2_1 @ X40 )
        | ( c0_1 @ X40 )
        | ( c1_1 @ X40 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl255,plain,
    ( ~ hskp15
    | ~ ( c1_1 @ a1059 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl940,plain,
    ( ~ ( c1_1 @ a1059 )
   <= ~ ( c1_1 @ a1059 ) ),
    inference(split,[status(esa)],[zip_derived_cl255]) ).

thf(zip_derived_cl454_069,plain,
    ( ! [X56: $i] :
        ( ~ ( c0_1 @ X56 )
        | ~ ( c2_1 @ X56 )
        | ( c1_1 @ X56 ) )
   <= ! [X56: $i] :
        ( ~ ( c0_1 @ X56 )
        | ~ ( c2_1 @ X56 )
        | ( c1_1 @ X56 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl2839,plain,
    ( ( ~ ( c0_1 @ a1059 )
      | ~ ( c2_1 @ a1059 ) )
   <= ( ~ ( c1_1 @ a1059 )
      & ! [X56: $i] :
          ( ~ ( c0_1 @ X56 )
          | ~ ( c2_1 @ X56 )
          | ( c1_1 @ X56 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl940,zip_derived_cl454]) ).

thf('157',plain,
    ( ~ ( c0_1 @ a1059 )
    | ~ ! [X56: $i] :
          ( ~ ( c0_1 @ X56 )
          | ~ ( c2_1 @ X56 )
          | ( c1_1 @ X56 ) )
    | ~ ( c2_1 @ a1059 )
    | ( c1_1 @ a1059 ) ),
    inference(split,[status(esa)],[zip_derived_cl2839]) ).

thf(zip_derived_cl940_070,plain,
    ( ~ ( c1_1 @ a1059 )
   <= ~ ( c1_1 @ a1059 ) ),
    inference(split,[status(esa)],[zip_derived_cl255]) ).

thf(zip_derived_cl415_071,plain,
    ( ! [X40: $i] :
        ( ~ ( c2_1 @ X40 )
        | ( c0_1 @ X40 )
        | ( c1_1 @ X40 ) )
   <= ! [X40: $i] :
        ( ~ ( c2_1 @ X40 )
        | ( c0_1 @ X40 )
        | ( c1_1 @ X40 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl2838,plain,
    ( ( ~ ( c2_1 @ a1059 )
      | ( c0_1 @ a1059 ) )
   <= ( ~ ( c1_1 @ a1059 )
      & ! [X40: $i] :
          ( ~ ( c2_1 @ X40 )
          | ( c0_1 @ X40 )
          | ( c1_1 @ X40 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl940,zip_derived_cl415]) ).

thf('158',plain,
    ( ~ ! [X40: $i] :
          ( ~ ( c2_1 @ X40 )
          | ( c0_1 @ X40 )
          | ( c1_1 @ X40 ) )
    | ( c0_1 @ a1059 )
    | ( c1_1 @ a1059 )
    | ~ ( c2_1 @ a1059 ) ),
    inference(split,[status(esa)],[zip_derived_cl2838]) ).

thf(zip_derived_cl454_072,plain,
    ( ! [X56: $i] :
        ( ~ ( c0_1 @ X56 )
        | ~ ( c2_1 @ X56 )
        | ( c1_1 @ X56 ) )
   <= ! [X56: $i] :
        ( ~ ( c0_1 @ X56 )
        | ~ ( c2_1 @ X56 )
        | ( c1_1 @ X56 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl182,plain,
    ( ~ hskp33
    | ~ ( c1_1 @ a1031 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl794,plain,
    ( ~ ( c1_1 @ a1031 )
   <= ~ ( c1_1 @ a1031 ) ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf(zip_derived_cl2731,plain,
    ( ( ~ ( c2_1 @ a1031 )
      | ~ ( c0_1 @ a1031 ) )
   <= ( ~ ( c1_1 @ a1031 )
      & ! [X56: $i] :
          ( ~ ( c0_1 @ X56 )
          | ~ ( c2_1 @ X56 )
          | ( c1_1 @ X56 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl454,zip_derived_cl794]) ).

thf('159',plain,
    ( ~ ( c0_1 @ a1031 )
    | ~ ! [X56: $i] :
          ( ~ ( c0_1 @ X56 )
          | ~ ( c2_1 @ X56 )
          | ( c1_1 @ X56 ) )
    | ( c1_1 @ a1031 )
    | ~ ( c2_1 @ a1031 ) ),
    inference(split,[status(esa)],[zip_derived_cl2731]) ).

thf(zip_derived_cl794_073,plain,
    ( ~ ( c1_1 @ a1031 )
   <= ~ ( c1_1 @ a1031 ) ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf(zip_derived_cl415_074,plain,
    ( ! [X40: $i] :
        ( ~ ( c2_1 @ X40 )
        | ( c0_1 @ X40 )
        | ( c1_1 @ X40 ) )
   <= ! [X40: $i] :
        ( ~ ( c2_1 @ X40 )
        | ( c0_1 @ X40 )
        | ( c1_1 @ X40 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl2305,plain,
    ( ( ~ ( c2_1 @ a1031 )
      | ( c0_1 @ a1031 ) )
   <= ( ~ ( c1_1 @ a1031 )
      & ! [X40: $i] :
          ( ~ ( c2_1 @ X40 )
          | ( c0_1 @ X40 )
          | ( c1_1 @ X40 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl794,zip_derived_cl415]) ).

thf('160',plain,
    ( ~ ! [X40: $i] :
          ( ~ ( c2_1 @ X40 )
          | ( c0_1 @ X40 )
          | ( c1_1 @ X40 ) )
    | ( c0_1 @ a1031 )
    | ( c1_1 @ a1031 )
    | ~ ( c2_1 @ a1031 ) ),
    inference(split,[status(esa)],[zip_derived_cl2305]) ).

thf(zip_derived_cl246,plain,
    ( ~ hskp17
    | ( c3_1 @ a1077 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl922,plain,
    ( ( c3_1 @ a1077 )
   <= ( c3_1 @ a1077 ) ),
    inference(split,[status(esa)],[zip_derived_cl246]) ).

thf(zip_derived_cl334_075,plain,
    ( ! [X6: $i] :
        ( ~ ( c3_1 @ X6 )
        | ( c0_1 @ X6 )
        | ( c2_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ~ ( c3_1 @ X6 )
        | ( c0_1 @ X6 )
        | ( c2_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl4663,plain,
    ( ( ( c0_1 @ a1077 )
      | ( c2_1 @ a1077 ) )
   <= ( ! [X6: $i] :
          ( ~ ( c3_1 @ X6 )
          | ( c0_1 @ X6 )
          | ( c2_1 @ X6 ) )
      & ( c3_1 @ a1077 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl922,zip_derived_cl334]) ).

thf('161',plain,
    ( ( c0_1 @ a1077 )
    | ( c2_1 @ a1077 )
    | ~ ! [X6: $i] :
          ( ~ ( c3_1 @ X6 )
          | ( c0_1 @ X6 )
          | ( c2_1 @ X6 ) )
    | ~ ( c3_1 @ a1077 ) ),
    inference(split,[status(esa)],[zip_derived_cl4663]) ).

thf(zip_derived_cl244,plain,
    ( ~ hskp17
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('162',plain,
    ( ~ hskp17
    | ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl244]) ).

thf(zip_derived_cl245,plain,
    ( ~ hskp17
    | ~ ( c0_1 @ a1077 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('163',plain,
    ( ~ hskp17
    | ~ ( c0_1 @ a1077 ) ),
    inference(split,[status(esa)],[zip_derived_cl245]) ).

thf('164',plain,
    ( ~ hskp17
    | ( c3_1 @ a1077 ) ),
    inference(split,[status(esa)],[zip_derived_cl246]) ).

thf(zip_derived_cl247,plain,
    ( ~ hskp17
    | ~ ( c2_1 @ a1077 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('165',plain,
    ( ~ hskp17
    | ~ ( c2_1 @ a1077 ) ),
    inference(split,[status(esa)],[zip_derived_cl247]) ).

thf(zip_derived_cl241,plain,
    ( ~ hskp18
    | ( c2_1 @ a1078 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('166',plain,
    ( ( c2_1 @ a1078 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl241]) ).

thf(zip_derived_cl242,plain,
    ( ~ hskp18
    | ( c0_1 @ a1078 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('167',plain,
    ( ( c0_1 @ a1078 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl242]) ).

thf(zip_derived_cl243,plain,
    ( ~ hskp18
    | ~ ( c1_1 @ a1078 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('168',plain,
    ( ~ ( c1_1 @ a1078 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl243]) ).

thf(zip_derived_cl20,plain,
    ( hskp39
    | hskp17
    | hskp18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('169',plain,
    ( hskp18
    | hskp39
    | hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl157,plain,
    ( ~ hskp39
    | ( c0_1 @ a1042 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('170',plain,
    ( ( c0_1 @ a1042 )
    | ~ hskp39 ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl158,plain,
    ( ~ hskp39
    | ~ ( c1_1 @ a1042 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('171',plain,
    ( ~ hskp39
    | ~ ( c1_1 @ a1042 ) ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl159,plain,
    ( ~ hskp39
    | ( c2_1 @ a1042 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('172',plain,
    ( ( c2_1 @ a1042 )
    | ~ hskp39 ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl454_076,plain,
    ( ! [X56: $i] :
        ( ~ ( c0_1 @ X56 )
        | ~ ( c2_1 @ X56 )
        | ( c1_1 @ X56 ) )
   <= ! [X56: $i] :
        ( ~ ( c0_1 @ X56 )
        | ~ ( c2_1 @ X56 )
        | ( c1_1 @ X56 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl746,plain,
    ( ~ ( c1_1 @ a1042 )
   <= ~ ( c1_1 @ a1042 ) ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl2734,plain,
    ( ( ~ ( c2_1 @ a1042 )
      | ~ ( c0_1 @ a1042 ) )
   <= ( ~ ( c1_1 @ a1042 )
      & ! [X56: $i] :
          ( ~ ( c0_1 @ X56 )
          | ~ ( c2_1 @ X56 )
          | ( c1_1 @ X56 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl454,zip_derived_cl746]) ).

thf('173',plain,
    ( ( c1_1 @ a1042 )
    | ~ ( c0_1 @ a1042 )
    | ~ ! [X56: $i] :
          ( ~ ( c0_1 @ X56 )
          | ~ ( c2_1 @ X56 )
          | ( c1_1 @ X56 ) )
    | ~ ( c2_1 @ a1042 ) ),
    inference(split,[status(esa)],[zip_derived_cl2734]) ).

thf(zip_derived_cl916,plain,
    ( ~ ( c1_1 @ a1078 )
   <= ~ ( c1_1 @ a1078 ) ),
    inference(split,[status(esa)],[zip_derived_cl243]) ).

thf(zip_derived_cl454_077,plain,
    ( ! [X56: $i] :
        ( ~ ( c0_1 @ X56 )
        | ~ ( c2_1 @ X56 )
        | ( c1_1 @ X56 ) )
   <= ! [X56: $i] :
        ( ~ ( c0_1 @ X56 )
        | ~ ( c2_1 @ X56 )
        | ( c1_1 @ X56 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl2775,plain,
    ( ( ~ ( c0_1 @ a1078 )
      | ~ ( c2_1 @ a1078 ) )
   <= ( ~ ( c1_1 @ a1078 )
      & ! [X56: $i] :
          ( ~ ( c0_1 @ X56 )
          | ~ ( c2_1 @ X56 )
          | ( c1_1 @ X56 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl916,zip_derived_cl454]) ).

thf('174',plain,
    ( ~ ! [X56: $i] :
          ( ~ ( c0_1 @ X56 )
          | ~ ( c2_1 @ X56 )
          | ( c1_1 @ X56 ) )
    | ~ ( c0_1 @ a1078 )
    | ( c1_1 @ a1078 )
    | ~ ( c2_1 @ a1078 ) ),
    inference(split,[status(esa)],[zip_derived_cl2775]) ).

thf(zip_derived_cl192,plain,
    ( ~ hskp30
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('175',plain,
    ( ndr1_0
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl192]) ).

thf(zip_derived_cl196,plain,
    ( ~ hskp29
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('176',plain,
    ( ndr1_0
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl196]) ).

thf(zip_derived_cl312,plain,
    ( ~ hskp0
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('177',plain,
    ( ndr1_0
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl312]) ).

thf(zip_derived_cl59,plain,
    ( hskp0
    | hskp29
    | hskp30 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('178',plain,
    ( hskp0
    | hskp30
    | hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl738_078,plain,
    ( ( c3_1 @ a1044 )
   <= ( c3_1 @ a1044 ) ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl375_079,plain,
    ( ! [X25: $i] :
        ( ~ ( c0_1 @ X25 )
        | ~ ( c3_1 @ X25 )
        | ( c2_1 @ X25 ) )
   <= ! [X25: $i] :
        ( ~ ( c0_1 @ X25 )
        | ~ ( c3_1 @ X25 )
        | ( c2_1 @ X25 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl4133,plain,
    ( ( ~ ( c0_1 @ a1044 )
      | ( c2_1 @ a1044 ) )
   <= ( ! [X25: $i] :
          ( ~ ( c0_1 @ X25 )
          | ~ ( c3_1 @ X25 )
          | ( c2_1 @ X25 ) )
      & ( c3_1 @ a1044 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl738,zip_derived_cl375]) ).

thf('179',plain,
    ( ~ ! [X25: $i] :
          ( ~ ( c0_1 @ X25 )
          | ~ ( c3_1 @ X25 )
          | ( c2_1 @ X25 ) )
    | ( c2_1 @ a1044 )
    | ~ ( c3_1 @ a1044 )
    | ~ ( c0_1 @ a1044 ) ),
    inference(split,[status(esa)],[zip_derived_cl4133]) ).

thf(zip_derived_cl155,plain,
    ( ~ hskp40
    | ( c0_1 @ a1044 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('180',plain,
    ( ( c0_1 @ a1044 )
    | ~ hskp40 ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf(zip_derived_cl738_080,plain,
    ( ( c3_1 @ a1044 )
   <= ( c3_1 @ a1044 ) ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl339_081,plain,
    ( ! [X8: $i] :
        ( ~ ( c2_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c3_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ~ ( c2_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c3_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl4130,plain,
    ( ( ~ ( c2_1 @ a1044 )
      | ~ ( c0_1 @ a1044 ) )
   <= ( ! [X8: $i] :
          ( ~ ( c2_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
      & ( c3_1 @ a1044 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl738,zip_derived_cl339]) ).

thf('181',plain,
    ( ~ ( c2_1 @ a1044 )
    | ~ ! [X8: $i] :
          ( ~ ( c2_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
    | ~ ( c3_1 @ a1044 )
    | ~ ( c0_1 @ a1044 ) ),
    inference(split,[status(esa)],[zip_derived_cl4130]) ).

thf(zip_derived_cl191,plain,
    ( ~ hskp31
    | ( c3_1 @ a1028 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl812,plain,
    ( ( c3_1 @ a1028 )
   <= ( c3_1 @ a1028 ) ),
    inference(split,[status(esa)],[zip_derived_cl191]) ).

thf(zip_derived_cl339_082,plain,
    ( ! [X8: $i] :
        ( ~ ( c2_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c3_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ~ ( c2_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c3_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl4439,plain,
    ( ( ~ ( c2_1 @ a1028 )
      | ~ ( c0_1 @ a1028 ) )
   <= ( ! [X8: $i] :
          ( ~ ( c2_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
      & ( c3_1 @ a1028 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl812,zip_derived_cl339]) ).

thf('182',plain,
    ( ~ ( c2_1 @ a1028 )
    | ~ ( c0_1 @ a1028 )
    | ~ ! [X8: $i] :
          ( ~ ( c2_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
    | ~ ( c3_1 @ a1028 ) ),
    inference(split,[status(esa)],[zip_derived_cl4439]) ).

thf(zip_derived_cl189,plain,
    ( ~ hskp31
    | ( c0_1 @ a1028 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('183',plain,
    ( ( c0_1 @ a1028 )
    | ~ hskp31 ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf('184',plain,
    ( ( c3_1 @ a1028 )
    | ~ hskp31 ),
    inference(split,[status(esa)],[zip_derived_cl191]) ).

thf(zip_derived_cl812_083,plain,
    ( ( c3_1 @ a1028 )
   <= ( c3_1 @ a1028 ) ),
    inference(split,[status(esa)],[zip_derived_cl191]) ).

thf(zip_derived_cl375_084,plain,
    ( ! [X25: $i] :
        ( ~ ( c0_1 @ X25 )
        | ~ ( c3_1 @ X25 )
        | ( c2_1 @ X25 ) )
   <= ! [X25: $i] :
        ( ~ ( c0_1 @ X25 )
        | ~ ( c3_1 @ X25 )
        | ( c2_1 @ X25 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl4442,plain,
    ( ( ~ ( c0_1 @ a1028 )
      | ( c2_1 @ a1028 ) )
   <= ( ! [X25: $i] :
          ( ~ ( c0_1 @ X25 )
          | ~ ( c3_1 @ X25 )
          | ( c2_1 @ X25 ) )
      & ( c3_1 @ a1028 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl812,zip_derived_cl375]) ).

thf('185',plain,
    ( ~ ! [X25: $i] :
          ( ~ ( c0_1 @ X25 )
          | ~ ( c3_1 @ X25 )
          | ( c2_1 @ X25 ) )
    | ( c2_1 @ a1028 )
    | ~ ( c3_1 @ a1028 )
    | ~ ( c0_1 @ a1028 ) ),
    inference(split,[status(esa)],[zip_derived_cl4442]) ).

thf(zip_derived_cl684_085,plain,
    ( ( c3_1 @ a1056 )
   <= ( c3_1 @ a1056 ) ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl339_086,plain,
    ( ! [X8: $i] :
        ( ~ ( c2_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c3_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ~ ( c2_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c3_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl3910,plain,
    ( ( ~ ( c2_1 @ a1056 )
      | ~ ( c0_1 @ a1056 ) )
   <= ( ! [X8: $i] :
          ( ~ ( c2_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
      & ( c3_1 @ a1056 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl684,zip_derived_cl339]) ).

thf('186',plain,
    ( ~ ( c0_1 @ a1056 )
    | ~ ( c2_1 @ a1056 )
    | ~ ! [X8: $i] :
          ( ~ ( c2_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
    | ~ ( c3_1 @ a1056 ) ),
    inference(split,[status(esa)],[zip_derived_cl3910]) ).

thf(zip_derived_cl97,plain,
    ( ~ hskp54
    | ( c3_1 @ a1074 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('187',plain,
    ( ~ hskp54
    | ( c3_1 @ a1074 ) ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(zip_derived_cl98,plain,
    ( ~ hskp54
    | ( c0_1 @ a1074 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('188',plain,
    ( ~ hskp54
    | ( c0_1 @ a1074 ) ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf(zip_derived_cl99,plain,
    ( ~ hskp54
    | ( c2_1 @ a1074 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('189',plain,
    ( ( c2_1 @ a1074 )
    | ~ hskp54 ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl624,plain,
    ( ( c3_1 @ a1074 )
   <= ( c3_1 @ a1074 ) ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(zip_derived_cl339_087,plain,
    ( ! [X8: $i] :
        ( ~ ( c2_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c3_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ~ ( c2_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c3_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl3642,plain,
    ( ( ~ ( c2_1 @ a1074 )
      | ~ ( c0_1 @ a1074 ) )
   <= ( ! [X8: $i] :
          ( ~ ( c2_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
      & ( c3_1 @ a1074 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl624,zip_derived_cl339]) ).

thf('190',plain,
    ( ~ ( c3_1 @ a1074 )
    | ~ ( c0_1 @ a1074 )
    | ~ ! [X8: $i] :
          ( ~ ( c2_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
    | ~ ( c2_1 @ a1074 ) ),
    inference(split,[status(esa)],[zip_derived_cl3642]) ).

thf(zip_derived_cl86,plain,
    ( ~ hskp57
    | ( c0_1 @ a1085 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('191',plain,
    ( ( c0_1 @ a1085 )
    | ~ hskp57 ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf(zip_derived_cl85,plain,
    ( ~ hskp57
    | ( c2_1 @ a1085 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('192',plain,
    ( ~ hskp57
    | ( c2_1 @ a1085 ) ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf(zip_derived_cl87,plain,
    ( ~ hskp57
    | ( c3_1 @ a1085 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('193',plain,
    ( ~ hskp57
    | ( c3_1 @ a1085 ) ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl604,plain,
    ( ( c3_1 @ a1085 )
   <= ( c3_1 @ a1085 ) ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl339_088,plain,
    ( ! [X8: $i] :
        ( ~ ( c2_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c3_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ~ ( c2_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c3_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl3574,plain,
    ( ( ~ ( c2_1 @ a1085 )
      | ~ ( c0_1 @ a1085 ) )
   <= ( ! [X8: $i] :
          ( ~ ( c2_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
      & ( c3_1 @ a1085 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl604,zip_derived_cl339]) ).

thf('194',plain,
    ( ~ ( c3_1 @ a1085 )
    | ~ ( c2_1 @ a1085 )
    | ~ ! [X8: $i] :
          ( ~ ( c2_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
    | ~ ( c0_1 @ a1085 ) ),
    inference(split,[status(esa)],[zip_derived_cl3574]) ).

thf('195',plain,
    ( ! [X11: $i] :
        ( ( c3_1 @ X11 )
        | ( c1_1 @ X11 )
        | ~ ( c2_1 @ X11 ) )
    | ! [X12: $i] :
        ( ( c0_1 @ X12 )
        | ( c1_1 @ X12 )
        | ( c2_1 @ X12 ) )
    | ~ ndr1_0
    | ! [X3: $i] :
        ( ~ ( c2_1 @ X3 )
        | ~ ( c3_1 @ X3 )
        | ( c0_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf('196',plain,
    ( ! [X9: $i] :
        ( ~ ( c0_1 @ X9 )
        | ~ ( c1_1 @ X9 )
        | ~ ( c2_1 @ X9 ) )
    | ! [X8: $i] :
        ( ~ ( c2_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c3_1 @ X8 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl102,plain,
    ( ~ hskp53
    | ( c2_1 @ a1073 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('197',plain,
    ( ( c2_1 @ a1073 )
    | ~ hskp53 ),
    inference(split,[status(esa)],[zip_derived_cl102]) ).

thf(zip_derived_cl101,plain,
    ( ~ hskp53
    | ( c1_1 @ a1073 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('198',plain,
    ( ~ hskp53
    | ( c1_1 @ a1073 ) ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf(zip_derived_cl103,plain,
    ( ~ hskp53
    | ( c0_1 @ a1073 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('199',plain,
    ( ~ hskp53
    | ( c0_1 @ a1073 ) ),
    inference(split,[status(esa)],[zip_derived_cl103]) ).

thf(zip_derived_cl632,plain,
    ( ( c1_1 @ a1073 )
   <= ( c1_1 @ a1073 ) ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf(zip_derived_cl338_089,plain,
    ( ! [X9: $i] :
        ( ~ ( c0_1 @ X9 )
        | ~ ( c1_1 @ X9 )
        | ~ ( c2_1 @ X9 ) )
   <= ! [X9: $i] :
        ( ~ ( c0_1 @ X9 )
        | ~ ( c1_1 @ X9 )
        | ~ ( c2_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl3683,plain,
    ( ( ~ ( c0_1 @ a1073 )
      | ~ ( c2_1 @ a1073 ) )
   <= ( ! [X9: $i] :
          ( ~ ( c0_1 @ X9 )
          | ~ ( c1_1 @ X9 )
          | ~ ( c2_1 @ X9 ) )
      & ( c1_1 @ a1073 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl632,zip_derived_cl338]) ).

thf('200',plain,
    ( ~ ( c0_1 @ a1073 )
    | ~ ( c1_1 @ a1073 )
    | ~ ! [X9: $i] :
          ( ~ ( c0_1 @ X9 )
          | ~ ( c1_1 @ X9 )
          | ~ ( c2_1 @ X9 ) )
    | ~ ( c2_1 @ a1073 ) ),
    inference(split,[status(esa)],[zip_derived_cl3683]) ).

thf(zip_derived_cl23,plain,
    ! [X37: $i,X38: $i] :
      ( ~ ( c2_1 @ X37 )
      | ~ ( c3_1 @ X37 )
      | ~ ( c0_1 @ X37 )
      | ~ ndr1_0
      | hskp53
      | ~ ( c3_1 @ X38 )
      | ( c1_1 @ X38 )
      | ~ ( c2_1 @ X38 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('201',plain,
    ( ! [X26: $i] :
        ( ~ ( c2_1 @ X26 )
        | ~ ( c3_1 @ X26 )
        | ( c1_1 @ X26 ) )
    | hskp53
    | ! [X8: $i] :
        ( ~ ( c2_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c3_1 @ X8 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf('202',plain,
    ( ( c3_1 @ a1059 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl253]) ).

thf(zip_derived_cl254,plain,
    ( ~ hskp15
    | ( c2_1 @ a1059 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('203',plain,
    ( ( c2_1 @ a1059 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl254]) ).

thf('204',plain,
    ( ~ hskp15
    | ~ ( c1_1 @ a1059 ) ),
    inference(split,[status(esa)],[zip_derived_cl255]) ).

thf(zip_derived_cl33,plain,
    ! [X54: $i] :
      ( ~ ( c3_1 @ X54 )
      | ( c2_1 @ X54 )
      | ( c0_1 @ X54 )
      | ~ ndr1_0
      | hskp15
      | hskp33 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('205',plain,
    ( ! [X6: $i] :
        ( ~ ( c3_1 @ X6 )
        | ( c0_1 @ X6 )
        | ( c2_1 @ X6 ) )
    | hskp15
    | ~ ndr1_0
    | hskp33 ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf('206',plain,
    ( ( c3_1 @ a1031 )
    | ~ hskp33 ),
    inference(split,[status(esa)],[zip_derived_cl181]) ).

thf('207',plain,
    ( ~ hskp33
    | ~ ( c1_1 @ a1031 ) ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf(zip_derived_cl183,plain,
    ( ~ hskp33
    | ( c2_1 @ a1031 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('208',plain,
    ( ( c2_1 @ a1031 )
    | ~ hskp33 ),
    inference(split,[status(esa)],[zip_derived_cl183]) ).

thf(zip_derived_cl792_090,plain,
    ( ( c3_1 @ a1031 )
   <= ( c3_1 @ a1031 ) ),
    inference(split,[status(esa)],[zip_derived_cl181]) ).

thf(zip_derived_cl374_091,plain,
    ( ! [X26: $i] :
        ( ~ ( c2_1 @ X26 )
        | ~ ( c3_1 @ X26 )
        | ( c1_1 @ X26 ) )
   <= ! [X26: $i] :
        ( ~ ( c2_1 @ X26 )
        | ~ ( c3_1 @ X26 )
        | ( c1_1 @ X26 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl4387,plain,
    ( ( ~ ( c2_1 @ a1031 )
      | ( c1_1 @ a1031 ) )
   <= ( ! [X26: $i] :
          ( ~ ( c2_1 @ X26 )
          | ~ ( c3_1 @ X26 )
          | ( c1_1 @ X26 ) )
      & ( c3_1 @ a1031 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl792,zip_derived_cl374]) ).

thf('209',plain,
    ( ( c1_1 @ a1031 )
    | ~ ( c3_1 @ a1031 )
    | ~ ! [X26: $i] :
          ( ~ ( c2_1 @ X26 )
          | ~ ( c3_1 @ X26 )
          | ( c1_1 @ X26 ) )
    | ~ ( c2_1 @ a1031 ) ),
    inference(split,[status(esa)],[zip_derived_cl4387]) ).

thf(zip_derived_cl936_092,plain,
    ( ( c3_1 @ a1059 )
   <= ( c3_1 @ a1059 ) ),
    inference(split,[status(esa)],[zip_derived_cl253]) ).

thf(zip_derived_cl374_093,plain,
    ( ! [X26: $i] :
        ( ~ ( c2_1 @ X26 )
        | ~ ( c3_1 @ X26 )
        | ( c1_1 @ X26 ) )
   <= ! [X26: $i] :
        ( ~ ( c2_1 @ X26 )
        | ~ ( c3_1 @ X26 )
        | ( c1_1 @ X26 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl4706,plain,
    ( ( ~ ( c2_1 @ a1059 )
      | ( c1_1 @ a1059 ) )
   <= ( ! [X26: $i] :
          ( ~ ( c2_1 @ X26 )
          | ~ ( c3_1 @ X26 )
          | ( c1_1 @ X26 ) )
      & ( c3_1 @ a1059 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl936,zip_derived_cl374]) ).

thf('210',plain,
    ( ( c1_1 @ a1059 )
    | ~ ( c3_1 @ a1059 )
    | ~ ! [X26: $i] :
          ( ~ ( c2_1 @ X26 )
          | ~ ( c3_1 @ X26 )
          | ( c1_1 @ X26 ) )
    | ~ ( c2_1 @ a1059 ) ),
    inference(split,[status(esa)],[zip_derived_cl4706]) ).

thf(zip_derived_cl732_094,plain,
    ( ( c3_1 @ a1045 )
   <= ( c3_1 @ a1045 ) ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl334_095,plain,
    ( ! [X6: $i] :
        ( ~ ( c3_1 @ X6 )
        | ( c0_1 @ X6 )
        | ( c2_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ~ ( c3_1 @ X6 )
        | ( c0_1 @ X6 )
        | ( c2_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl4117,plain,
    ( ( ( c0_1 @ a1045 )
      | ( c2_1 @ a1045 ) )
   <= ( ! [X6: $i] :
          ( ~ ( c3_1 @ X6 )
          | ( c0_1 @ X6 )
          | ( c2_1 @ X6 ) )
      & ( c3_1 @ a1045 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl732,zip_derived_cl334]) ).

thf('211',plain,
    ( ( c0_1 @ a1045 )
    | ( c2_1 @ a1045 )
    | ~ ! [X6: $i] :
          ( ~ ( c3_1 @ X6 )
          | ( c0_1 @ X6 )
          | ( c2_1 @ X6 ) )
    | ~ ( c3_1 @ a1045 ) ),
    inference(split,[status(esa)],[zip_derived_cl4117]) ).

thf('212',plain,
    ( ~ ( c1_1 @ a1045 )
    | ~ hskp41 ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl150,plain,
    ( ~ hskp41
    | ~ ( c0_1 @ a1045 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('213',plain,
    ( ~ hskp41
    | ~ ( c0_1 @ a1045 ) ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf('214',plain,
    ( ( c3_1 @ a1045 )
    | ~ hskp41 ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl732_096,plain,
    ( ( c3_1 @ a1045 )
   <= ( c3_1 @ a1045 ) ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl374_097,plain,
    ( ! [X26: $i] :
        ( ~ ( c2_1 @ X26 )
        | ~ ( c3_1 @ X26 )
        | ( c1_1 @ X26 ) )
   <= ! [X26: $i] :
        ( ~ ( c2_1 @ X26 )
        | ~ ( c3_1 @ X26 )
        | ( c1_1 @ X26 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl4122,plain,
    ( ( ~ ( c2_1 @ a1045 )
      | ( c1_1 @ a1045 ) )
   <= ( ! [X26: $i] :
          ( ~ ( c2_1 @ X26 )
          | ~ ( c3_1 @ X26 )
          | ( c1_1 @ X26 ) )
      & ( c3_1 @ a1045 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl732,zip_derived_cl374]) ).

thf('215',plain,
    ( ~ ( c2_1 @ a1045 )
    | ( c1_1 @ a1045 )
    | ~ ! [X26: $i] :
          ( ~ ( c2_1 @ X26 )
          | ~ ( c3_1 @ X26 )
          | ( c1_1 @ X26 ) )
    | ~ ( c3_1 @ a1045 ) ),
    inference(split,[status(esa)],[zip_derived_cl4122]) ).

thf(zip_derived_cl42,plain,
    ! [X66: $i] :
      ( hskp40
      | hskp41
      | ~ ( c0_1 @ X66 )
      | ( c1_1 @ X66 )
      | ~ ( c2_1 @ X66 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('216',plain,
    ( hskp40
    | hskp41
    | ! [X56: $i] :
        ( ~ ( c0_1 @ X56 )
        | ~ ( c2_1 @ X56 )
        | ( c1_1 @ X56 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf('217',plain,
    ( ( c3_1 @ a1044 )
    | ~ hskp40 ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl738_098,plain,
    ( ( c3_1 @ a1044 )
   <= ( c3_1 @ a1044 ) ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl24,plain,
    ! [X39: $i] :
      ( hskp52
      | hskp34
      | ~ ( c3_1 @ X39 )
      | ( c1_1 @ X39 )
      | ~ ( c0_1 @ X39 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl409,plain,
    ( ! [X39: $i] :
        ( ~ ( c3_1 @ X39 )
        | ( c1_1 @ X39 )
        | ~ ( c0_1 @ X39 ) )
   <= ! [X39: $i] :
        ( ~ ( c3_1 @ X39 )
        | ( c1_1 @ X39 )
        | ~ ( c0_1 @ X39 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl4135,plain,
    ( ( ( c1_1 @ a1044 )
      | ~ ( c0_1 @ a1044 ) )
   <= ( ! [X39: $i] :
          ( ~ ( c3_1 @ X39 )
          | ( c1_1 @ X39 )
          | ~ ( c0_1 @ X39 ) )
      & ( c3_1 @ a1044 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl738,zip_derived_cl409]) ).

thf('218',plain,
    ( ~ ! [X39: $i] :
          ( ~ ( c3_1 @ X39 )
          | ( c1_1 @ X39 )
          | ~ ( c0_1 @ X39 ) )
    | ~ ( c3_1 @ a1044 )
    | ~ ( c0_1 @ a1044 )
    | ( c1_1 @ a1044 ) ),
    inference(split,[status(esa)],[zip_derived_cl4135]) ).

thf(zip_derived_cl45,plain,
    ! [X70: $i,X71: $i] :
      ( ~ ( c3_1 @ X70 )
      | ( c2_1 @ X70 )
      | ~ ( c0_1 @ X70 )
      | ~ ndr1_0
      | hskp38
      | ~ ( c0_1 @ X71 )
      | ~ ( c3_1 @ X71 )
      | ( c1_1 @ X71 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('219',plain,
    ( hskp38
    | ! [X39: $i] :
        ( ~ ( c3_1 @ X39 )
        | ( c1_1 @ X39 )
        | ~ ( c0_1 @ X39 ) )
    | ~ ndr1_0
    | ! [X25: $i] :
        ( ~ ( c0_1 @ X25 )
        | ~ ( c3_1 @ X25 )
        | ( c2_1 @ X25 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf('220',plain,
    ( ( c1_1 @ a1040 )
    | ~ hskp38 ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf('221',plain,
    ( ( c3_1 @ a1040 )
    | ~ hskp38 ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf(zip_derived_cl163,plain,
    ( ~ hskp38
    | ( c2_1 @ a1040 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('222',plain,
    ( ( c2_1 @ a1040 )
    | ~ hskp38 ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl754_099,plain,
    ( ( c3_1 @ a1040 )
   <= ( c3_1 @ a1040 ) ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf(zip_derived_cl354_100,plain,
    ( ! [X17: $i] :
        ( ~ ( c2_1 @ X17 )
        | ~ ( c1_1 @ X17 )
        | ~ ( c3_1 @ X17 ) )
   <= ! [X17: $i] :
        ( ~ ( c2_1 @ X17 )
        | ~ ( c1_1 @ X17 )
        | ~ ( c3_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl4213,plain,
    ( ( ~ ( c2_1 @ a1040 )
      | ~ ( c1_1 @ a1040 ) )
   <= ( ! [X17: $i] :
          ( ~ ( c2_1 @ X17 )
          | ~ ( c1_1 @ X17 )
          | ~ ( c3_1 @ X17 ) )
      & ( c3_1 @ a1040 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl754,zip_derived_cl354]) ).

thf('223',plain,
    ( ~ ! [X17: $i] :
          ( ~ ( c2_1 @ X17 )
          | ~ ( c1_1 @ X17 )
          | ~ ( c3_1 @ X17 ) )
    | ~ ( c1_1 @ a1040 )
    | ~ ( c3_1 @ a1040 )
    | ~ ( c2_1 @ a1040 ) ),
    inference(split,[status(esa)],[zip_derived_cl4213]) ).

thf(zip_derived_cl52,plain,
    ! [X81: $i,X82: $i] :
      ( hskp33
      | ~ ( c1_1 @ X81 )
      | ( c2_1 @ X81 )
      | ( c0_1 @ X81 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X82 )
      | ~ ( c3_1 @ X82 )
      | ~ ( c2_1 @ X82 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('224',plain,
    ( ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ~ ( c1_1 @ X16 )
        | ( c0_1 @ X16 ) )
    | ! [X17: $i] :
        ( ~ ( c2_1 @ X17 )
        | ~ ( c1_1 @ X17 )
        | ~ ( c3_1 @ X17 ) )
    | hskp33
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl273,plain,
    ( ~ hskp10
    | ( c1_1 @ a1039 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('225',plain,
    ( ( c1_1 @ a1039 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl273]) ).

thf(zip_derived_cl274,plain,
    ( ~ hskp10
    | ~ ( c2_1 @ a1039 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('226',plain,
    ( ~ ( c2_1 @ a1039 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl274]) ).

thf(zip_derived_cl275,plain,
    ( ~ hskp10
    | ~ ( c0_1 @ a1039 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('227',plain,
    ( ~ ( c0_1 @ a1039 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl275]) ).

thf(zip_derived_cl976,plain,
    ( ( c1_1 @ a1039 )
   <= ( c1_1 @ a1039 ) ),
    inference(split,[status(esa)],[zip_derived_cl273]) ).

thf(zip_derived_cl355_101,plain,
    ( ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ~ ( c1_1 @ X16 )
        | ( c0_1 @ X16 ) )
   <= ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ~ ( c1_1 @ X16 )
        | ( c0_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl4800,plain,
    ( ( ( c2_1 @ a1039 )
      | ( c0_1 @ a1039 ) )
   <= ( ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ~ ( c1_1 @ X16 )
          | ( c0_1 @ X16 ) )
      & ( c1_1 @ a1039 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl976,zip_derived_cl355]) ).

thf('228',plain,
    ( ~ ( c1_1 @ a1039 )
    | ( c2_1 @ a1039 )
    | ~ ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ~ ( c1_1 @ X16 )
          | ( c0_1 @ X16 ) )
    | ( c0_1 @ a1039 ) ),
    inference(split,[status(esa)],[zip_derived_cl4800]) ).

thf(zip_derived_cl34,plain,
    ! [X55: $i] :
      ( hskp10
      | ~ ( c1_1 @ X55 )
      | ( c0_1 @ X55 )
      | ~ ( c2_1 @ X55 )
      | ~ ndr1_0
      | hskp43 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('229',plain,
    ( hskp10
    | ! [X43: $i] :
        ( ( c0_1 @ X43 )
        | ~ ( c2_1 @ X43 )
        | ~ ( c1_1 @ X43 ) )
    | ~ ndr1_0
    | hskp43 ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl18191,plain,
    $false,
    inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6','7','8','9','10','11','12','13','14','15','16','17','18','19','20','21','22','23','24','25','26','27','28','29','30','31','32','33','34','35','36','37','38','39','40','41','42','43','44','45','46','47','48','49','50','51','52','53','54','55','56','57','58','59','60','61','62','63','64','65','66','67','68','69','70','71','72','73','74','75','76','77','78','79','80','81','82','83','84','85','86','87','88','89','90','91','92','93','94','95','96','97','98','99','100','101','102','103','104','105','106','107','108','109','110','111','112','113','114','115','116','117','118','119','120','121','122','123','124','125','126','127','128','129','130','131','132','133','134','135','136','137','138','139','140','141','142','143','144','145','146','147','148','149','150','151','152','153','154','155','156','157','158','159','160','161','162','163','164','165','166','167','168','169','170','171','172','173','174','175','176','177','178','179','180','181','182','183','184','185','186','187','188','189','190','191','192','193','194','195','196','197','198','199','200','201','202','203','204','205','206','207','208','209','210','211','212','213','214','215','216','217','218','219','220','221','222','223','224','225','226','227','228','229']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN447+1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.knPZre6u7V true
% 0.13/0.35  % Computer : n025.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Sat Aug 26 19:52:38 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.21/0.65  % Total configuration time : 435
% 0.21/0.65  % Estimated wc time : 1092
% 0.21/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.79  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 21.40/3.72  % Solved by fo/fo1_av.sh.
% 21.40/3.72  % done 4532 iterations in 2.920s
% 21.40/3.72  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 21.40/3.72  % SZS output start Refutation
% See solution above
% 21.40/3.74  
% 21.40/3.74  
% 21.40/3.74  % Terminating...
% 21.77/3.85  % Runner terminated.
% 21.77/3.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------