TSTP Solution File: SYN458+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN458+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.YzOvshf2Xf true

% Computer : n021.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 04:03:41 EDT 2023

% Result   : Theorem 6.89s 1.58s
% Output   : Refutation 6.89s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   70
% Syntax   : Number of formulae    :  590 (   1 unt;  69 typ;   0 def)
%            Number of atoms       : 3487 (   0 equ;   0 cnn)
%            Maximal formula atoms :  596 (   6 avg)
%            Number of connectives : 7382 (1784   ~;2135   |; 446   &;2632   @)
%                                         (   0 <=>; 174  =>; 211  <=;   0 <~>)
%            Maximal formula depth :   97 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   70 (  69 usr;  66 con; 0-1 aty)
%            Number of variables   :  580 (   0   ^; 580   !;   0   ?; 580   :)

% Comments : 
%------------------------------------------------------------------------------
thf(hskp2_type,type,
    hskp2: $o ).

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

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

thf(a1109_type,type,
    a1109: $i ).

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

thf(a1122_type,type,
    a1122: $i ).

thf(a1092_type,type,
    a1092: $i ).

thf(a1100_type,type,
    a1100: $i ).

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

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

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

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

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

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

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

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

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

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

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

thf(a1113_type,type,
    a1113: $i ).

thf(a1121_type,type,
    a1121: $i ).

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

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

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

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

thf(a1090_type,type,
    a1090: $i ).

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

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

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

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

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

thf(a1148_type,type,
    a1148: $i ).

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

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

thf(a1094_type,type,
    a1094: $i ).

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

thf(a1120_type,type,
    a1120: $i ).

thf(a1146_type,type,
    a1146: $i ).

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

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

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

thf(a1114_type,type,
    a1114: $i ).

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

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

thf(a1087_type,type,
    a1087: $i ).

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

thf(a1125_type,type,
    a1125: $i ).

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

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

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

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

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

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

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

thf(a1085_type,type,
    a1085: $i ).

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

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

thf(a1124_type,type,
    a1124: $i ).

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

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

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

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

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

thf(a1164_type,type,
    a1164: $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(co1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & ( c1_1 @ a1080 )
          & ~ ( c0_1 @ a1080 )
          & ~ ( c2_1 @ a1080 ) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & ( c3_1 @ a1081 )
          & ~ ( c0_1 @ a1081 )
          & ~ ( c1_1 @ a1081 ) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & ~ ( c0_1 @ a1082 )
          & ~ ( c2_1 @ a1082 )
          & ~ ( c3_1 @ a1082 ) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & ( c1_1 @ a1083 )
          & ~ ( c2_1 @ a1083 )
          & ~ ( c3_1 @ a1083 ) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & ( c0_1 @ a1084 )
          & ~ ( c1_1 @ a1084 )
          & ~ ( c3_1 @ a1084 ) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & ( c2_1 @ a1085 )
          & ~ ( c0_1 @ a1085 )
          & ~ ( c1_1 @ a1085 ) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & ( c0_1 @ a1086 )
          & ( c2_1 @ a1086 )
          & ~ ( c1_1 @ a1086 ) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & ~ ( c0_1 @ a1087 )
          & ~ ( c1_1 @ a1087 )
          & ~ ( c2_1 @ a1087 ) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & ( c0_1 @ a1088 )
          & ( c3_1 @ a1088 )
          & ~ ( c2_1 @ a1088 ) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & ( c2_1 @ a1089 )
          & ( c3_1 @ a1089 )
          & ~ ( c1_1 @ a1089 ) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & ~ ( c0_1 @ a1090 )
          & ~ ( c1_1 @ a1090 )
          & ~ ( c3_1 @ a1090 ) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & ( c2_1 @ a1091 )
          & ~ ( c0_1 @ a1091 )
          & ~ ( c3_1 @ a1091 ) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & ( c0_1 @ a1094 )
          & ( c1_1 @ a1094 )
          & ~ ( c3_1 @ a1094 ) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & ( c3_1 @ a1095 )
          & ~ ( c1_1 @ a1095 )
          & ~ ( c2_1 @ a1095 ) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & ( c1_1 @ a1097 )
          & ( c3_1 @ a1097 )
          & ~ ( c2_1 @ a1097 ) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & ( c2_1 @ a1098 )
          & ~ ( c1_1 @ a1098 )
          & ~ ( c3_1 @ a1098 ) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & ( c1_1 @ a1100 )
          & ~ ( c0_1 @ a1100 )
          & ~ ( c3_1 @ a1100 ) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & ( c3_1 @ a1102 )
          & ~ ( c0_1 @ a1102 )
          & ~ ( c2_1 @ a1102 ) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & ( c0_1 @ a1103 )
          & ( c3_1 @ a1103 )
          & ~ ( c1_1 @ a1103 ) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & ( c0_1 @ a1113 )
          & ( c1_1 @ a1113 )
          & ~ ( c2_1 @ a1113 ) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & ( c0_1 @ a1114 )
          & ~ ( c1_1 @ a1114 )
          & ~ ( c2_1 @ a1114 ) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & ( c1_1 @ a1120 )
          & ( c2_1 @ a1120 )
          & ~ ( c3_1 @ a1120 ) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & ( c1_1 @ a1121 )
          & ( c3_1 @ a1121 )
          & ~ ( c0_1 @ a1121 ) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & ( c0_1 @ a1122 )
          & ( c2_1 @ a1122 )
          & ~ ( c3_1 @ a1122 ) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & ( c1_1 @ a1124 )
          & ( c2_1 @ a1124 )
          & ~ ( c0_1 @ a1124 ) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & ~ ( c1_1 @ a1125 )
          & ~ ( c2_1 @ a1125 )
          & ~ ( c3_1 @ a1125 ) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & ( c2_1 @ a1146 )
          & ( c3_1 @ a1146 )
          & ~ ( c0_1 @ a1146 ) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & ( c0_1 @ a1164 )
          & ~ ( c2_1 @ a1164 )
          & ~ ( c3_1 @ a1164 ) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & ( c0_1 @ a1092 )
          & ( c2_1 @ a1092 )
          & ( c3_1 @ a1092 ) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & ( c1_1 @ a1101 )
          & ( c2_1 @ a1101 )
          & ( c3_1 @ a1101 ) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & ( c0_1 @ a1109 )
          & ( c1_1 @ a1109 )
          & ( c3_1 @ a1109 ) ) )
      & ( ~ hskp31
        | ( ndr1_0
          & ( c0_1 @ a1148 )
          & ( c1_1 @ a1148 )
          & ( c2_1 @ a1148 ) ) )
      & ( ! [U: $i] :
            ( ndr1_0
           => ( ( c0_1 @ U )
              | ( c1_1 @ U )
              | ( c2_1 @ U ) ) )
        | ! [V: $i] :
            ( ndr1_0
           => ( ( c0_1 @ V )
              | ( c2_1 @ V )
              | ( c3_1 @ V ) ) )
        | ! [W: $i] :
            ( ndr1_0
           => ( ( c1_1 @ W )
              | ~ ( c2_1 @ W )
              | ~ ( c3_1 @ W ) ) ) )
      & ( ! [X: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X )
              | ( c1_1 @ X )
              | ( c2_1 @ X ) ) )
        | ! [Y: $i] :
            ( ndr1_0
           => ( ( c0_1 @ Y )
              | ( c2_1 @ Y )
              | ~ ( c3_1 @ Y ) ) )
        | ! [Z: $i] :
            ( ndr1_0
           => ( ( c3_1 @ Z )
              | ~ ( c0_1 @ Z )
              | ~ ( c1_1 @ Z ) ) ) )
      & ( ! [X1: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X1 )
              | ( c1_1 @ X1 )
              | ( c2_1 @ X1 ) ) )
        | ! [X2: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X2 )
              | ( c2_1 @ X2 )
              | ~ ( c3_1 @ X2 ) ) )
        | hskp0 )
      & ( ! [X3: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X3 )
              | ( c1_1 @ X3 )
              | ( c2_1 @ X3 ) ) )
        | ! [X4: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X4 )
              | ~ ( c1_1 @ X4 )
              | ~ ( c3_1 @ X4 ) ) )
        | ! [X5: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X5 )
              | ~ ( c2_1 @ X5 )
              | ~ ( c3_1 @ X5 ) ) ) )
      & ( ! [X6: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X6 )
              | ( c1_1 @ X6 )
              | ( c2_1 @ X6 ) ) )
        | hskp1
        | hskp2 )
      & ( ! [X7: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X7 )
              | ( c1_1 @ X7 )
              | ( c3_1 @ X7 ) ) )
        | ! [X8: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X8 )
              | ( c3_1 @ X8 )
              | ~ ( c1_1 @ X8 ) ) )
        | ! [X9: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X9 )
              | ~ ( c1_1 @ X9 )
              | ~ ( c3_1 @ X9 ) ) ) )
      & ( ! [X10: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X10 )
              | ( c1_1 @ X10 )
              | ~ ( c2_1 @ X10 ) ) )
        | ! [X11: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X11 )
              | ( c2_1 @ X11 )
              | ~ ( c1_1 @ X11 ) ) )
        | hskp3 )
      & ( ! [X12: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X12 )
              | ( c1_1 @ X12 )
              | ~ ( c2_1 @ X12 ) ) )
        | ! [X13: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X13 )
              | ( c3_1 @ X13 )
              | ~ ( c1_1 @ X13 ) ) )
        | hskp4 )
      & ( ! [X14: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X14 )
              | ( c1_1 @ X14 )
              | ~ ( c2_1 @ X14 ) ) )
        | ! [X15: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X15 )
              | ~ ( c1_1 @ X15 )
              | ~ ( c2_1 @ X15 ) ) )
        | ! [X16: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X16 )
              | ~ ( c1_1 @ X16 )
              | ~ ( c2_1 @ X16 ) ) ) )
      & ( ! [X17: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X17 )
              | ( c1_1 @ X17 )
              | ~ ( c2_1 @ X17 ) ) )
        | ! [X18: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X18 )
              | ~ ( c2_1 @ X18 )
              | ~ ( c3_1 @ X18 ) ) )
        | hskp5 )
      & ( ! [X19: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X19 )
              | ( c1_1 @ X19 )
              | ~ ( c2_1 @ X19 ) ) )
        | ! [X20: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X20 )
              | ( c3_1 @ X20 )
              | ~ ( c0_1 @ X20 ) ) )
        | ! [X21: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X21 )
              | ~ ( c0_1 @ X21 )
              | ~ ( c1_1 @ X21 ) ) ) )
      & ( ! [X22: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X22 )
              | ( c1_1 @ X22 )
              | ~ ( c2_1 @ X22 ) ) )
        | hskp6
        | hskp7 )
      & ( ! [X23: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X23 )
              | ( c1_1 @ X23 )
              | ~ ( c2_1 @ X23 ) ) )
        | hskp8
        | hskp9 )
      & ( ! [X24: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X24 )
              | ( c1_1 @ X24 )
              | ~ ( c3_1 @ X24 ) ) )
        | ! [X25: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X25 )
              | ~ ( c1_1 @ X25 )
              | ~ ( c2_1 @ X25 ) ) )
        | hskp10 )
      & ( ! [X26: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X26 )
              | ( c1_1 @ X26 )
              | ~ ( c3_1 @ X26 ) ) )
        | ! [X27: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X27 )
              | ~ ( c2_1 @ X27 )
              | ~ ( c3_1 @ X27 ) ) )
        | hskp11 )
      & ( ! [X28: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X28 )
              | ( c1_1 @ X28 )
              | ~ ( c3_1 @ X28 ) ) )
        | hskp28
        | hskp1 )
      & ( ! [X29: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X29 )
              | ( c2_1 @ X29 )
              | ( c3_1 @ X29 ) ) )
        | hskp12
        | hskp13 )
      & ( ! [X30: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X30 )
              | ( c2_1 @ X30 )
              | ~ ( c1_1 @ X30 ) ) )
        | ! [X31: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X31 )
              | ~ ( c0_1 @ X31 )
              | ~ ( c3_1 @ X31 ) ) )
        | hskp5 )
      & ( ! [X32: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X32 )
              | ( c2_1 @ X32 )
              | ~ ( c1_1 @ X32 ) ) )
        | hskp14
        | hskp15 )
      & ( ! [X33: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X33 )
              | ( c2_1 @ X33 )
              | ~ ( c1_1 @ X33 ) ) )
        | hskp0
        | hskp16 )
      & ( ! [X34: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X34 )
              | ( c3_1 @ X34 )
              | ~ ( c1_1 @ X34 ) ) )
        | ! [X35: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X35 )
              | ~ ( c2_1 @ X35 )
              | ~ ( c3_1 @ X35 ) ) )
        | hskp29 )
      & ( ! [X36: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X36 )
              | ( c3_1 @ X36 )
              | ~ ( c2_1 @ X36 ) ) )
        | ! [X37: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X37 )
              | ~ ( c1_1 @ X37 )
              | ~ ( c3_1 @ X37 ) ) )
        | hskp17 )
      & ( ! [X38: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X38 )
              | ( c3_1 @ X38 )
              | ~ ( c2_1 @ X38 ) ) )
        | hskp18 )
      & ( ! [X39: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X39 )
              | ( c3_1 @ X39 )
              | ~ ( c2_1 @ X39 ) ) )
        | hskp4
        | hskp16 )
      & ( ! [X40: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X40 )
              | ~ ( c1_1 @ X40 )
              | ~ ( c2_1 @ X40 ) ) )
        | ! [X41: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X41 )
              | ( c3_1 @ X41 )
              | ~ ( c2_1 @ X41 ) ) )
        | hskp9 )
      & ( ! [X42: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X42 )
              | ~ ( c1_1 @ X42 )
              | ~ ( c2_1 @ X42 ) ) )
        | hskp15
        | hskp17 )
      & ( ! [X43: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X43 )
              | ~ ( c1_1 @ X43 )
              | ~ ( c3_1 @ X43 ) ) )
        | hskp30
        | hskp18 )
      & ( ! [X44: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X44 )
              | ~ ( c1_1 @ X44 )
              | ~ ( c3_1 @ X44 ) ) )
        | hskp9
        | hskp2 )
      & ( ! [X45: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X45 )
              | ~ ( c2_1 @ X45 )
              | ~ ( c3_1 @ X45 ) ) )
        | hskp19 )
      & ( ! [X46: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X46 )
              | ~ ( c2_1 @ X46 )
              | ~ ( c3_1 @ X46 ) ) )
        | hskp20
        | hskp3 )
      & ( ! [X47: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X47 )
              | ( c2_1 @ X47 )
              | ( c3_1 @ X47 ) ) )
        | ! [X48: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X48 )
              | ~ ( c0_1 @ X48 )
              | ~ ( c1_1 @ X48 ) ) )
        | hskp9 )
      & ( ! [X49: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X49 )
              | ( c2_1 @ X49 )
              | ( c3_1 @ X49 ) ) )
        | ! [X50: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X50 )
              | ~ ( c2_1 @ X50 )
              | ~ ( c3_1 @ X50 ) ) )
        | hskp20 )
      & ( ! [X51: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X51 )
              | ( c2_1 @ X51 )
              | ( c3_1 @ X51 ) ) )
        | hskp6
        | hskp8 )
      & ( ! [X52: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X52 )
              | ( c2_1 @ X52 )
              | ~ ( c0_1 @ X52 ) ) )
        | hskp21
        | hskp22 )
      & ( ! [X53: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X53 )
              | ( c2_1 @ X53 )
              | ~ ( c3_1 @ X53 ) ) )
        | ! [X54: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X54 )
              | ( c3_1 @ X54 )
              | ~ ( c1_1 @ X54 ) ) )
        | hskp23 )
      & ( ! [X55: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X55 )
              | ( c2_1 @ X55 )
              | ~ ( c3_1 @ X55 ) ) )
        | ! [X56: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X56 )
              | ~ ( c0_1 @ X56 )
              | ~ ( c1_1 @ X56 ) ) )
        | hskp1 )
      & ( ! [X57: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X57 )
              | ( c2_1 @ X57 )
              | ~ ( c3_1 @ X57 ) ) )
        | hskp24
        | hskp25 )
      & ( ! [X58: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X58 )
              | ( c3_1 @ X58 )
              | ~ ( c0_1 @ X58 ) ) )
        | hskp14
        | hskp13 )
      & ( ! [X59: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X59 )
              | ( c3_1 @ X59 )
              | ~ ( c2_1 @ X59 ) ) )
        | ! [X60: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X60 )
              | ~ ( c0_1 @ X60 )
              | ~ ( c2_1 @ X60 ) ) )
        | hskp17 )
      & ( ! [X61: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X61 )
              | ~ ( c0_1 @ X61 )
              | ~ ( c2_1 @ X61 ) ) )
        | ! [X62: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X62 )
              | ~ ( c1_1 @ X62 )
              | ~ ( c2_1 @ X62 ) ) )
        | hskp25 )
      & ( ! [X63: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X63 )
              | ~ ( c0_1 @ X63 )
              | ~ ( c2_1 @ X63 ) ) )
        | hskp14 )
      & ( ! [X64: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X64 )
              | ~ ( c0_1 @ X64 )
              | ~ ( c2_1 @ X64 ) ) )
        | hskp0
        | hskp2 )
      & ( ! [X65: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X65 )
              | ~ ( c2_1 @ X65 )
              | ~ ( c3_1 @ X65 ) ) )
        | hskp21 )
      & ( ! [X66: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X66 )
              | ~ ( c2_1 @ X66 )
              | ~ ( c3_1 @ X66 ) ) )
        | hskp14
        | hskp11 )
      & ( ! [X67: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X67 )
              | ~ ( c2_1 @ X67 )
              | ~ ( c3_1 @ X67 ) ) )
        | hskp9
        | hskp11 )
      & ( ! [X68: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X68 )
              | ( c3_1 @ X68 )
              | ~ ( c0_1 @ X68 ) ) )
        | hskp22
        | hskp5 )
      & ( ! [X69: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X69 )
              | ~ ( c0_1 @ X69 )
              | ~ ( c1_1 @ X69 ) ) )
        | hskp30
        | hskp9 )
      & ( ! [X70: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X70 )
              | ~ ( c0_1 @ X70 )
              | ~ ( c1_1 @ X70 ) ) )
        | hskp4
        | hskp1 )
      & ( ! [X71: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X71 )
              | ~ ( c0_1 @ X71 )
              | ~ ( c3_1 @ X71 ) ) )
        | hskp28
        | hskp9 )
      & ( ! [X72: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X72 )
              | ~ ( c1_1 @ X72 )
              | ~ ( c3_1 @ X72 ) ) )
        | ! [X73: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X73 )
              | ~ ( c2_1 @ X73 )
              | ~ ( c3_1 @ X73 ) ) )
        | hskp26 )
      & ( ! [X74: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X74 )
              | ~ ( c0_1 @ X74 )
              | ~ ( c1_1 @ X74 ) ) )
        | ! [X75: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X75 )
              | ~ ( c0_1 @ X75 )
              | ~ ( c2_1 @ X75 ) ) )
        | hskp5 )
      & ( ! [X76: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X76 )
              | ~ ( c0_1 @ X76 )
              | ~ ( c2_1 @ X76 ) ) )
        | ! [X77: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X77 )
              | ~ ( c1_1 @ X77 )
              | ~ ( c2_1 @ X77 ) ) )
        | hskp31 )
      & ( ! [X78: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X78 )
              | ~ ( c1_1 @ X78 )
              | ~ ( c2_1 @ X78 ) ) )
        | hskp5
        | hskp13 )
      & ( ! [X79: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X79 )
              | ~ ( c1_1 @ X79 )
              | ~ ( c3_1 @ X79 ) ) )
        | hskp19
        | hskp2 )
      & ( ! [X80: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X80 )
              | ~ ( c2_1 @ X80 )
              | ~ ( c3_1 @ X80 ) ) )
        | hskp31
        | hskp3 )
      & ( ! [X81: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X81 )
              | ~ ( c2_1 @ X81 )
              | ~ ( c3_1 @ X81 ) ) )
        | hskp20
        | hskp24 )
      & ( hskp31
        | hskp12
        | hskp13 )
      & ( hskp28
        | hskp6
        | hskp18 )
      & ( hskp20
        | hskp27
        | hskp13 )
      & ( hskp0
        | hskp5 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( ~ hskp0
      | ( ndr1_0
        & ( c1_1 @ a1080 )
        & ~ ( c0_1 @ a1080 )
        & ~ ( c2_1 @ a1080 ) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ( c3_1 @ a1081 )
        & ~ ( c0_1 @ a1081 )
        & ~ ( c1_1 @ a1081 ) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ~ ( c0_1 @ a1082 )
        & ~ ( c2_1 @ a1082 )
        & ~ ( c3_1 @ a1082 ) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ( c1_1 @ a1083 )
        & ~ ( c2_1 @ a1083 )
        & ~ ( c3_1 @ a1083 ) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ( c0_1 @ a1084 )
        & ~ ( c1_1 @ a1084 )
        & ~ ( c3_1 @ a1084 ) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ( c2_1 @ a1085 )
        & ~ ( c0_1 @ a1085 )
        & ~ ( c1_1 @ a1085 ) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ( c0_1 @ a1086 )
        & ( c2_1 @ a1086 )
        & ~ ( c1_1 @ a1086 ) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & ~ ( c0_1 @ a1087 )
        & ~ ( c1_1 @ a1087 )
        & ~ ( c2_1 @ a1087 ) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ( c0_1 @ a1088 )
        & ( c3_1 @ a1088 )
        & ~ ( c2_1 @ a1088 ) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ( c2_1 @ a1089 )
        & ( c3_1 @ a1089 )
        & ~ ( c1_1 @ a1089 ) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ~ ( c0_1 @ a1090 )
        & ~ ( c1_1 @ a1090 )
        & ~ ( c3_1 @ a1090 ) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ( c2_1 @ a1091 )
        & ~ ( c0_1 @ a1091 )
        & ~ ( c3_1 @ a1091 ) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ( c0_1 @ a1094 )
        & ( c1_1 @ a1094 )
        & ~ ( c3_1 @ a1094 ) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & ( c3_1 @ a1095 )
        & ~ ( c1_1 @ a1095 )
        & ~ ( c2_1 @ a1095 ) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ( c1_1 @ a1097 )
        & ( c3_1 @ a1097 )
        & ~ ( c2_1 @ a1097 ) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & ( c2_1 @ a1098 )
        & ~ ( c1_1 @ a1098 )
        & ~ ( c3_1 @ a1098 ) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & ( c1_1 @ a1100 )
        & ~ ( c0_1 @ a1100 )
        & ~ ( c3_1 @ a1100 ) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ( c3_1 @ a1102 )
        & ~ ( c0_1 @ a1102 )
        & ~ ( c2_1 @ a1102 ) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ( c0_1 @ a1103 )
        & ( c3_1 @ a1103 )
        & ~ ( c1_1 @ a1103 ) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ( c0_1 @ a1113 )
        & ( c1_1 @ a1113 )
        & ~ ( c2_1 @ a1113 ) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ( c0_1 @ a1114 )
        & ~ ( c1_1 @ a1114 )
        & ~ ( c2_1 @ a1114 ) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & ( c1_1 @ a1120 )
        & ( c2_1 @ a1120 )
        & ~ ( c3_1 @ a1120 ) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ( c1_1 @ a1121 )
        & ( c3_1 @ a1121 )
        & ~ ( c0_1 @ a1121 ) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ( c0_1 @ a1122 )
        & ( c2_1 @ a1122 )
        & ~ ( c3_1 @ a1122 ) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ( c1_1 @ a1124 )
        & ( c2_1 @ a1124 )
        & ~ ( c0_1 @ a1124 ) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ~ ( c1_1 @ a1125 )
        & ~ ( c2_1 @ a1125 )
        & ~ ( c3_1 @ a1125 ) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ( c2_1 @ a1146 )
        & ( c3_1 @ a1146 )
        & ~ ( c0_1 @ a1146 ) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ( c0_1 @ a1164 )
        & ~ ( c2_1 @ a1164 )
        & ~ ( c3_1 @ a1164 ) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & ( c0_1 @ a1092 )
        & ( c2_1 @ a1092 )
        & ( c3_1 @ a1092 ) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & ( c1_1 @ a1101 )
        & ( c2_1 @ a1101 )
        & ( c3_1 @ a1101 ) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & ( c0_1 @ a1109 )
        & ( c1_1 @ a1109 )
        & ( c3_1 @ a1109 ) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & ( c0_1 @ a1148 )
        & ( c1_1 @ a1148 )
        & ( c2_1 @ a1148 ) ) )
    & ( ! [U: $i] :
          ( ndr1_0
         => ( ( c0_1 @ U )
            | ( c1_1 @ U )
            | ( c2_1 @ U ) ) )
      | ! [V: $i] :
          ( ndr1_0
         => ( ( c0_1 @ V )
            | ( c2_1 @ V )
            | ( c3_1 @ V ) ) )
      | ! [W: $i] :
          ( ndr1_0
         => ( ( c1_1 @ W )
            | ~ ( c2_1 @ W )
            | ~ ( c3_1 @ W ) ) ) )
    & ( ! [X: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X )
            | ( c1_1 @ X )
            | ( c2_1 @ X ) ) )
      | ! [Y: $i] :
          ( ndr1_0
         => ( ( c0_1 @ Y )
            | ( c2_1 @ Y )
            | ~ ( c3_1 @ Y ) ) )
      | ! [Z: $i] :
          ( ndr1_0
         => ( ( c3_1 @ Z )
            | ~ ( c0_1 @ Z )
            | ~ ( c1_1 @ Z ) ) ) )
    & ( ! [X1: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X1 )
            | ( c1_1 @ X1 )
            | ( c2_1 @ X1 ) ) )
      | ! [X2: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X2 )
            | ( c2_1 @ X2 )
            | ~ ( c3_1 @ X2 ) ) )
      | hskp0 )
    & ( ! [X3: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X3 )
            | ( c1_1 @ X3 )
            | ( c2_1 @ X3 ) ) )
      | ! [X4: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X4 )
            | ~ ( c1_1 @ X4 )
            | ~ ( c3_1 @ X4 ) ) )
      | ! [X5: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X5 )
            | ~ ( c2_1 @ X5 )
            | ~ ( c3_1 @ X5 ) ) ) )
    & ( ! [X6: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X6 )
            | ( c1_1 @ X6 )
            | ( c2_1 @ X6 ) ) )
      | hskp1
      | hskp2 )
    & ( ! [X7: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X7 )
            | ( c1_1 @ X7 )
            | ( c3_1 @ X7 ) ) )
      | ! [X8: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X8 )
            | ( c3_1 @ X8 )
            | ~ ( c1_1 @ X8 ) ) )
      | ! [X9: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X9 )
            | ~ ( c1_1 @ X9 )
            | ~ ( c3_1 @ X9 ) ) ) )
    & ( ! [X10: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X10 )
            | ( c1_1 @ X10 )
            | ~ ( c2_1 @ X10 ) ) )
      | ! [X11: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X11 )
            | ( c2_1 @ X11 )
            | ~ ( c1_1 @ X11 ) ) )
      | hskp3 )
    & ( ! [X12: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X12 )
            | ( c1_1 @ X12 )
            | ~ ( c2_1 @ X12 ) ) )
      | ! [X13: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X13 )
            | ( c3_1 @ X13 )
            | ~ ( c1_1 @ X13 ) ) )
      | hskp4 )
    & ( ! [X14: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X14 )
            | ( c1_1 @ X14 )
            | ~ ( c2_1 @ X14 ) ) )
      | ! [X15: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X15 )
            | ~ ( c1_1 @ X15 )
            | ~ ( c2_1 @ X15 ) ) )
      | ! [X16: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X16 )
            | ~ ( c1_1 @ X16 )
            | ~ ( c2_1 @ X16 ) ) ) )
    & ( ! [X17: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X17 )
            | ( c1_1 @ X17 )
            | ~ ( c2_1 @ X17 ) ) )
      | ! [X18: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X18 )
            | ~ ( c2_1 @ X18 )
            | ~ ( c3_1 @ X18 ) ) )
      | hskp5 )
    & ( ! [X19: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X19 )
            | ( c1_1 @ X19 )
            | ~ ( c2_1 @ X19 ) ) )
      | ! [X20: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X20 )
            | ( c3_1 @ X20 )
            | ~ ( c0_1 @ X20 ) ) )
      | ! [X21: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X21 )
            | ~ ( c0_1 @ X21 )
            | ~ ( c1_1 @ X21 ) ) ) )
    & ( ! [X22: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X22 )
            | ( c1_1 @ X22 )
            | ~ ( c2_1 @ X22 ) ) )
      | hskp6
      | hskp7 )
    & ( ! [X23: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X23 )
            | ( c1_1 @ X23 )
            | ~ ( c2_1 @ X23 ) ) )
      | hskp8
      | hskp9 )
    & ( ! [X24: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X24 )
            | ( c1_1 @ X24 )
            | ~ ( c3_1 @ X24 ) ) )
      | ! [X25: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X25 )
            | ~ ( c1_1 @ X25 )
            | ~ ( c2_1 @ X25 ) ) )
      | hskp10 )
    & ( ! [X26: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X26 )
            | ( c1_1 @ X26 )
            | ~ ( c3_1 @ X26 ) ) )
      | ! [X27: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X27 )
            | ~ ( c2_1 @ X27 )
            | ~ ( c3_1 @ X27 ) ) )
      | hskp11 )
    & ( ! [X28: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X28 )
            | ( c1_1 @ X28 )
            | ~ ( c3_1 @ X28 ) ) )
      | hskp28
      | hskp1 )
    & ( ! [X29: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X29 )
            | ( c2_1 @ X29 )
            | ( c3_1 @ X29 ) ) )
      | hskp12
      | hskp13 )
    & ( ! [X30: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X30 )
            | ( c2_1 @ X30 )
            | ~ ( c1_1 @ X30 ) ) )
      | ! [X31: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X31 )
            | ~ ( c0_1 @ X31 )
            | ~ ( c3_1 @ X31 ) ) )
      | hskp5 )
    & ( ! [X32: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X32 )
            | ( c2_1 @ X32 )
            | ~ ( c1_1 @ X32 ) ) )
      | hskp14
      | hskp15 )
    & ( ! [X33: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X33 )
            | ( c2_1 @ X33 )
            | ~ ( c1_1 @ X33 ) ) )
      | hskp0
      | hskp16 )
    & ( ! [X34: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X34 )
            | ( c3_1 @ X34 )
            | ~ ( c1_1 @ X34 ) ) )
      | ! [X35: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X35 )
            | ~ ( c2_1 @ X35 )
            | ~ ( c3_1 @ X35 ) ) )
      | hskp29 )
    & ( ! [X36: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X36 )
            | ( c3_1 @ X36 )
            | ~ ( c2_1 @ X36 ) ) )
      | ! [X37: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X37 )
            | ~ ( c1_1 @ X37 )
            | ~ ( c3_1 @ X37 ) ) )
      | hskp17 )
    & ( ! [X38: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X38 )
            | ( c3_1 @ X38 )
            | ~ ( c2_1 @ X38 ) ) )
      | hskp18 )
    & ( ! [X39: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X39 )
            | ( c3_1 @ X39 )
            | ~ ( c2_1 @ X39 ) ) )
      | hskp4
      | hskp16 )
    & ( ! [X40: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X40 )
            | ~ ( c1_1 @ X40 )
            | ~ ( c2_1 @ X40 ) ) )
      | ! [X41: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X41 )
            | ( c3_1 @ X41 )
            | ~ ( c2_1 @ X41 ) ) )
      | hskp9 )
    & ( ! [X42: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X42 )
            | ~ ( c1_1 @ X42 )
            | ~ ( c2_1 @ X42 ) ) )
      | hskp15
      | hskp17 )
    & ( ! [X43: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X43 )
            | ~ ( c1_1 @ X43 )
            | ~ ( c3_1 @ X43 ) ) )
      | hskp30
      | hskp18 )
    & ( ! [X44: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X44 )
            | ~ ( c1_1 @ X44 )
            | ~ ( c3_1 @ X44 ) ) )
      | hskp9
      | hskp2 )
    & ( ! [X45: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X45 )
            | ~ ( c2_1 @ X45 )
            | ~ ( c3_1 @ X45 ) ) )
      | hskp19 )
    & ( ! [X46: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X46 )
            | ~ ( c2_1 @ X46 )
            | ~ ( c3_1 @ X46 ) ) )
      | hskp20
      | hskp3 )
    & ( ! [X47: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X47 )
            | ( c2_1 @ X47 )
            | ( c3_1 @ X47 ) ) )
      | ! [X48: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X48 )
            | ~ ( c0_1 @ X48 )
            | ~ ( c1_1 @ X48 ) ) )
      | hskp9 )
    & ( ! [X49: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X49 )
            | ( c2_1 @ X49 )
            | ( c3_1 @ X49 ) ) )
      | ! [X50: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X50 )
            | ~ ( c2_1 @ X50 )
            | ~ ( c3_1 @ X50 ) ) )
      | hskp20 )
    & ( ! [X51: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X51 )
            | ( c2_1 @ X51 )
            | ( c3_1 @ X51 ) ) )
      | hskp6
      | hskp8 )
    & ( ! [X52: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X52 )
            | ( c2_1 @ X52 )
            | ~ ( c0_1 @ X52 ) ) )
      | hskp21
      | hskp22 )
    & ( ! [X53: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X53 )
            | ( c2_1 @ X53 )
            | ~ ( c3_1 @ X53 ) ) )
      | ! [X54: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X54 )
            | ( c3_1 @ X54 )
            | ~ ( c1_1 @ X54 ) ) )
      | hskp23 )
    & ( ! [X55: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X55 )
            | ( c2_1 @ X55 )
            | ~ ( c3_1 @ X55 ) ) )
      | ! [X56: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X56 )
            | ~ ( c0_1 @ X56 )
            | ~ ( c1_1 @ X56 ) ) )
      | hskp1 )
    & ( ! [X57: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X57 )
            | ( c2_1 @ X57 )
            | ~ ( c3_1 @ X57 ) ) )
      | hskp24
      | hskp25 )
    & ( ! [X58: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X58 )
            | ( c3_1 @ X58 )
            | ~ ( c0_1 @ X58 ) ) )
      | hskp14
      | hskp13 )
    & ( ! [X59: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X59 )
            | ( c3_1 @ X59 )
            | ~ ( c2_1 @ X59 ) ) )
      | ! [X60: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X60 )
            | ~ ( c0_1 @ X60 )
            | ~ ( c2_1 @ X60 ) ) )
      | hskp17 )
    & ( ! [X61: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X61 )
            | ~ ( c0_1 @ X61 )
            | ~ ( c2_1 @ X61 ) ) )
      | ! [X62: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X62 )
            | ~ ( c1_1 @ X62 )
            | ~ ( c2_1 @ X62 ) ) )
      | hskp25 )
    & ( ! [X63: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X63 )
            | ~ ( c0_1 @ X63 )
            | ~ ( c2_1 @ X63 ) ) )
      | hskp14 )
    & ( ! [X64: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X64 )
            | ~ ( c0_1 @ X64 )
            | ~ ( c2_1 @ X64 ) ) )
      | hskp0
      | hskp2 )
    & ( ! [X65: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X65 )
            | ~ ( c2_1 @ X65 )
            | ~ ( c3_1 @ X65 ) ) )
      | hskp21 )
    & ( ! [X66: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X66 )
            | ~ ( c2_1 @ X66 )
            | ~ ( c3_1 @ X66 ) ) )
      | hskp14
      | hskp11 )
    & ( ! [X67: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X67 )
            | ~ ( c2_1 @ X67 )
            | ~ ( c3_1 @ X67 ) ) )
      | hskp9
      | hskp11 )
    & ( ! [X68: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X68 )
            | ( c3_1 @ X68 )
            | ~ ( c0_1 @ X68 ) ) )
      | hskp22
      | hskp5 )
    & ( ! [X69: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X69 )
            | ~ ( c0_1 @ X69 )
            | ~ ( c1_1 @ X69 ) ) )
      | hskp30
      | hskp9 )
    & ( ! [X70: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X70 )
            | ~ ( c0_1 @ X70 )
            | ~ ( c1_1 @ X70 ) ) )
      | hskp4
      | hskp1 )
    & ( ! [X71: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X71 )
            | ~ ( c0_1 @ X71 )
            | ~ ( c3_1 @ X71 ) ) )
      | hskp28
      | hskp9 )
    & ( ! [X72: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X72 )
            | ~ ( c1_1 @ X72 )
            | ~ ( c3_1 @ X72 ) ) )
      | ! [X73: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X73 )
            | ~ ( c2_1 @ X73 )
            | ~ ( c3_1 @ X73 ) ) )
      | hskp26 )
    & ( ! [X74: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X74 )
            | ~ ( c0_1 @ X74 )
            | ~ ( c1_1 @ X74 ) ) )
      | ! [X75: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X75 )
            | ~ ( c0_1 @ X75 )
            | ~ ( c2_1 @ X75 ) ) )
      | hskp5 )
    & ( ! [X76: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X76 )
            | ~ ( c0_1 @ X76 )
            | ~ ( c2_1 @ X76 ) ) )
      | ! [X77: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X77 )
            | ~ ( c1_1 @ X77 )
            | ~ ( c2_1 @ X77 ) ) )
      | hskp31 )
    & ( ! [X78: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X78 )
            | ~ ( c1_1 @ X78 )
            | ~ ( c2_1 @ X78 ) ) )
      | hskp5
      | hskp13 )
    & ( ! [X79: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X79 )
            | ~ ( c1_1 @ X79 )
            | ~ ( c3_1 @ X79 ) ) )
      | hskp19
      | hskp2 )
    & ( ! [X80: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X80 )
            | ~ ( c2_1 @ X80 )
            | ~ ( c3_1 @ X80 ) ) )
      | hskp31
      | hskp3 )
    & ( ! [X81: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X81 )
            | ~ ( c2_1 @ X81 )
            | ~ ( c3_1 @ X81 ) ) )
      | hskp20
      | hskp24 )
    & ( hskp31
      | hskp12
      | hskp13 )
    & ( hskp28
      | hskp6
      | hskp18 )
    & ( hskp20
      | hskp27
      | hskp13 )
    & ( hskp0
      | hskp5 ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl71,plain,
    ( ~ hskp29
    | ( c3_1 @ a1101 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl441,plain,
    ( ( c3_1 @ a1101 )
   <= ( c3_1 @ a1101 ) ),
    inference(split,[status(esa)],[zip_derived_cl71]) ).

thf(zip_derived_cl10,plain,
    ! [X8: $i,X9: $i] :
      ( ( c2_1 @ X8 )
      | ~ ( c1_1 @ X8 )
      | ~ ( c3_1 @ X8 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X9 )
      | ~ ( c2_1 @ X9 )
      | ~ ( c3_1 @ X9 )
      | ~ ndr1_0
      | hskp26 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl223,plain,
    ( ! [X9: $i] :
        ( ~ ( c0_1 @ X9 )
        | ~ ( c2_1 @ X9 )
        | ~ ( c3_1 @ X9 ) )
   <= ! [X9: $i] :
        ( ~ ( c0_1 @ X9 )
        | ~ ( c2_1 @ X9 )
        | ~ ( c3_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl1558,plain,
    ( ( ~ ( c0_1 @ a1101 )
      | ~ ( c2_1 @ a1101 ) )
   <= ( ! [X9: $i] :
          ( ~ ( c0_1 @ X9 )
          | ~ ( c2_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
      & ( c3_1 @ a1101 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl441,zip_derived_cl223]) ).

thf('0',plain,
    ( ~ ! [X9: $i] :
          ( ~ ( c0_1 @ X9 )
          | ~ ( c2_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
    | ~ ( c0_1 @ a1101 )
    | ~ ( c2_1 @ a1101 )
    | ~ ( c3_1 @ a1101 ) ),
    inference(split,[status(esa)],[zip_derived_cl1558]) ).

thf(zip_derived_cl25,plain,
    ! [X27: $i,X28: $i] :
      ( ( c1_1 @ X27 )
      | ( c2_1 @ X27 )
      | ~ ( c3_1 @ X27 )
      | ~ ndr1_0
      | ( c2_1 @ X28 )
      | ( c3_1 @ X28 )
      | ~ ( c1_1 @ X28 )
      | ~ ndr1_0
      | hskp23 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl281,plain,
    ( ! [X28: $i] :
        ( ( c2_1 @ X28 )
        | ( c3_1 @ X28 )
        | ~ ( c1_1 @ X28 ) )
   <= ! [X28: $i] :
        ( ( c2_1 @ X28 )
        | ( c3_1 @ X28 )
        | ~ ( c1_1 @ X28 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl175,plain,
    ( ~ hskp3
    | ~ ( c3_1 @ a1083 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl649,plain,
    ( ~ ( c3_1 @ a1083 )
   <= ~ ( c3_1 @ a1083 ) ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl1101,plain,
    ( ( ~ ( c1_1 @ a1083 )
      | ( c2_1 @ a1083 ) )
   <= ( ~ ( c3_1 @ a1083 )
      & ! [X28: $i] :
          ( ( c2_1 @ X28 )
          | ( c3_1 @ X28 )
          | ~ ( c1_1 @ X28 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl281,zip_derived_cl649]) ).

thf('1',plain,
    ( ( c2_1 @ a1083 )
    | ( c3_1 @ a1083 )
    | ~ ! [X28: $i] :
          ( ( c2_1 @ X28 )
          | ( c3_1 @ X28 )
          | ~ ( c1_1 @ X28 ) )
    | ~ ( c1_1 @ a1083 ) ),
    inference(split,[status(esa)],[zip_derived_cl1101]) ).

thf(zip_derived_cl54,plain,
    ! [X72: $i,X73: $i,X74: $i] :
      ( ( c0_1 @ X72 )
      | ( c1_1 @ X72 )
      | ( c3_1 @ X72 )
      | ~ ndr1_0
      | ( c2_1 @ X73 )
      | ( c3_1 @ X73 )
      | ~ ( c1_1 @ X73 )
      | ~ ndr1_0
      | ( c2_1 @ X74 )
      | ~ ( c1_1 @ X74 )
      | ~ ( c3_1 @ X74 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('2',plain,
    ( ! [X72: $i] :
        ( ( c0_1 @ X72 )
        | ( c1_1 @ X72 )
        | ( c3_1 @ X72 ) )
    | ! [X28: $i] :
        ( ( c2_1 @ X28 )
        | ( c3_1 @ X28 )
        | ~ ( c1_1 @ X28 ) )
    | ~ ndr1_0
    | ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c1_1 @ X8 )
        | ~ ( c3_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf(zip_derived_cl85,plain,
    ( ~ hskp25
    | ~ ( c1_1 @ a1125 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('3',plain,
    ( ~ ( c1_1 @ a1125 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf(zip_derived_cl397,plain,
    ( ! [X72: $i] :
        ( ( c0_1 @ X72 )
        | ( c1_1 @ X72 )
        | ( c3_1 @ X72 ) )
   <= ! [X72: $i] :
        ( ( c0_1 @ X72 )
        | ( c1_1 @ X72 )
        | ( c3_1 @ X72 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf(zip_derived_cl87,plain,
    ( ~ hskp25
    | ~ ( c3_1 @ a1125 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl473,plain,
    ( ~ ( c3_1 @ a1125 )
   <= ~ ( c3_1 @ a1125 ) ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl2455,plain,
    ( ( ( c1_1 @ a1125 )
      | ( c0_1 @ a1125 ) )
   <= ( ~ ( c3_1 @ a1125 )
      & ! [X72: $i] :
          ( ( c0_1 @ X72 )
          | ( c1_1 @ X72 )
          | ( c3_1 @ X72 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl397,zip_derived_cl473]) ).

thf('4',plain,
    ( ( c1_1 @ a1125 )
    | ( c3_1 @ a1125 )
    | ~ ! [X72: $i] :
          ( ( c0_1 @ X72 )
          | ( c1_1 @ X72 )
          | ( c3_1 @ X72 ) )
    | ( c0_1 @ a1125 ) ),
    inference(split,[status(esa)],[zip_derived_cl2455]) ).

thf(zip_derived_cl39,plain,
    ! [X46: $i,X47: $i] :
      ( ( c0_1 @ X46 )
      | ( c3_1 @ X46 )
      | ~ ( c1_1 @ X46 )
      | ~ ndr1_0
      | ( c1_1 @ X47 )
      | ~ ( c2_1 @ X47 )
      | ~ ( c3_1 @ X47 )
      | ~ ndr1_0
      | hskp29 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl336,plain,
    ( ! [X46: $i] :
        ( ( c0_1 @ X46 )
        | ( c3_1 @ X46 )
        | ~ ( c1_1 @ X46 ) )
   <= ! [X46: $i] :
        ( ( c0_1 @ X46 )
        | ( c3_1 @ X46 )
        | ~ ( c1_1 @ X46 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl179,plain,
    ( ~ hskp2
    | ~ ( c3_1 @ a1082 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl657,plain,
    ( ~ ( c3_1 @ a1082 )
   <= ~ ( c3_1 @ a1082 ) ),
    inference(split,[status(esa)],[zip_derived_cl179]) ).

thf(zip_derived_cl1748,plain,
    ( ( ~ ( c1_1 @ a1082 )
      | ( c0_1 @ a1082 ) )
   <= ( ~ ( c3_1 @ a1082 )
      & ! [X46: $i] :
          ( ( c0_1 @ X46 )
          | ( c3_1 @ X46 )
          | ~ ( c1_1 @ X46 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl336,zip_derived_cl657]) ).

thf('5',plain,
    ( ( c0_1 @ a1082 )
    | ~ ! [X46: $i] :
          ( ( c0_1 @ X46 )
          | ( c3_1 @ X46 )
          | ~ ( c1_1 @ X46 ) )
    | ( c3_1 @ a1082 )
    | ~ ( c1_1 @ a1082 ) ),
    inference(split,[status(esa)],[zip_derived_cl1748]) ).

thf(zip_derived_cl177,plain,
    ( ~ hskp2
    | ~ ( c0_1 @ a1082 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('6',plain,
    ( ~ ( c0_1 @ a1082 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf(zip_derived_cl55,plain,
    ! [X75: $i] :
      ( ( c0_1 @ X75 )
      | ( c1_1 @ X75 )
      | ( c2_1 @ X75 )
      | ~ ndr1_0
      | hskp1
      | hskp2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl399,plain,
    ( ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c1_1 @ X75 )
        | ( c2_1 @ X75 ) )
   <= ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c1_1 @ X75 )
        | ( c2_1 @ X75 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf(zip_derived_cl653,plain,
    ( ~ ( c0_1 @ a1082 )
   <= ~ ( c0_1 @ a1082 ) ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf(zip_derived_cl2497,plain,
    ( ( ( c2_1 @ a1082 )
      | ( c1_1 @ a1082 ) )
   <= ( ~ ( c0_1 @ a1082 )
      & ! [X75: $i] :
          ( ( c0_1 @ X75 )
          | ( c1_1 @ X75 )
          | ( c2_1 @ X75 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl399,zip_derived_cl653]) ).

thf('7',plain,
    ( ( c1_1 @ a1082 )
    | ( c0_1 @ a1082 )
    | ~ ! [X75: $i] :
          ( ( c0_1 @ X75 )
          | ( c1_1 @ X75 )
          | ( c2_1 @ X75 ) )
    | ( c2_1 @ a1082 ) ),
    inference(split,[status(esa)],[zip_derived_cl2497]) ).

thf(zip_derived_cl43,plain,
    ! [X52: $i] :
      ( ( c0_1 @ X52 )
      | ( c2_1 @ X52 )
      | ( c3_1 @ X52 )
      | ~ ndr1_0
      | hskp12
      | hskp13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl351,plain,
    ( ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ( c2_1 @ X52 )
        | ( c3_1 @ X52 ) )
   <= ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ( c2_1 @ X52 )
        | ( c3_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl473_001,plain,
    ( ~ ( c3_1 @ a1125 )
   <= ~ ( c3_1 @ a1125 ) ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl2203,plain,
    ( ( ( c2_1 @ a1125 )
      | ( c0_1 @ a1125 ) )
   <= ( ~ ( c3_1 @ a1125 )
      & ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ( c2_1 @ X52 )
          | ( c3_1 @ X52 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl351,zip_derived_cl473]) ).

thf('8',plain,
    ( ~ ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ( c2_1 @ X52 )
          | ( c3_1 @ X52 ) )
    | ( c2_1 @ a1125 )
    | ( c3_1 @ a1125 )
    | ( c0_1 @ a1125 ) ),
    inference(split,[status(esa)],[zip_derived_cl2203]) ).

thf(zip_derived_cl473_002,plain,
    ( ~ ( c3_1 @ a1125 )
   <= ~ ( c3_1 @ a1125 ) ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl14,plain,
    ! [X13: $i] :
      ( ( c2_1 @ X13 )
      | ( c3_1 @ X13 )
      | ~ ( c0_1 @ X13 )
      | ~ ndr1_0
      | hskp22
      | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl239,plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c0_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c0_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl801,plain,
    ( ( ( c2_1 @ a1125 )
      | ~ ( c0_1 @ a1125 ) )
   <= ( ~ ( c3_1 @ a1125 )
      & ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ( c3_1 @ X13 )
          | ~ ( c0_1 @ X13 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl473,zip_derived_cl239]) ).

thf('9',plain,
    ( ~ ( c0_1 @ a1125 )
    | ( c3_1 @ a1125 )
    | ~ ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ( c3_1 @ X13 )
          | ~ ( c0_1 @ X13 ) )
    | ( c2_1 @ a1125 ) ),
    inference(split,[status(esa)],[zip_derived_cl801]) ).

thf(zip_derived_cl18,plain,
    ! [X17: $i] :
      ( ( c1_1 @ X17 )
      | ~ ( c0_1 @ X17 )
      | ~ ( c2_1 @ X17 )
      | ~ ndr1_0
      | hskp0
      | hskp2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('10',plain,
    ( hskp2
    | hskp0
    | ! [X17: $i] :
        ( ( c1_1 @ X17 )
        | ~ ( c0_1 @ X17 )
        | ~ ( c2_1 @ X17 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl86,plain,
    ( ~ hskp25
    | ~ ( c2_1 @ a1125 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('11',plain,
    ( ~ ( c2_1 @ a1125 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf('12',plain,
    ( ~ ( c3_1 @ a1125 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl20,plain,
    ! [X19: $i,X20: $i] :
      ( ( c1_1 @ X19 )
      | ~ ( c0_1 @ X19 )
      | ~ ( c2_1 @ X19 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X20 )
      | ~ ( c1_1 @ X20 )
      | ~ ( c2_1 @ X20 )
      | ~ ndr1_0
      | hskp25 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('13',plain,
    ( ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
    | hskp25
    | ! [X17: $i] :
        ( ( c1_1 @ X17 )
        | ~ ( c0_1 @ X17 )
        | ~ ( c2_1 @ X17 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl15,plain,
    ! [X14: $i] :
      ( ( c1_1 @ X14 )
      | ~ ( c2_1 @ X14 )
      | ~ ( c3_1 @ X14 )
      | ~ ndr1_0
      | hskp9
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('14',plain,
    ( ! [X14: $i] :
        ( ( c1_1 @ X14 )
        | ~ ( c2_1 @ X14 )
        | ~ ( c3_1 @ X14 ) )
    | hskp9
    | hskp11
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl150,plain,
    ( ~ hskp9
    | ( c3_1 @ a1089 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl599,plain,
    ( ( c3_1 @ a1089 )
   <= ( c3_1 @ a1089 ) ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf(zip_derived_cl42,plain,
    ! [X50: $i,X51: $i] :
      ( ( c0_1 @ X50 )
      | ( c2_1 @ X50 )
      | ~ ( c1_1 @ X50 )
      | ~ ndr1_0
      | ( c1_1 @ X51 )
      | ~ ( c0_1 @ X51 )
      | ~ ( c3_1 @ X51 )
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl347,plain,
    ( ! [X51: $i] :
        ( ( c1_1 @ X51 )
        | ~ ( c0_1 @ X51 )
        | ~ ( c3_1 @ X51 ) )
   <= ! [X51: $i] :
        ( ( c1_1 @ X51 )
        | ~ ( c0_1 @ X51 )
        | ~ ( c3_1 @ X51 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl2078,plain,
    ( ( ( c1_1 @ a1089 )
      | ~ ( c0_1 @ a1089 ) )
   <= ( ! [X51: $i] :
          ( ( c1_1 @ X51 )
          | ~ ( c0_1 @ X51 )
          | ~ ( c3_1 @ X51 ) )
      & ( c3_1 @ a1089 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl599,zip_derived_cl347]) ).

thf('15',plain,
    ( ~ ( c0_1 @ a1089 )
    | ~ ! [X51: $i] :
          ( ( c1_1 @ X51 )
          | ~ ( c0_1 @ X51 )
          | ~ ( c3_1 @ X51 ) )
    | ( c1_1 @ a1089 )
    | ~ ( c3_1 @ a1089 ) ),
    inference(split,[status(esa)],[zip_derived_cl2078]) ).

thf(zip_derived_cl133,plain,
    ( ~ hskp13
    | ( c3_1 @ a1095 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl565,plain,
    ( ( c3_1 @ a1095 )
   <= ( c3_1 @ a1095 ) ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf(zip_derived_cl44,plain,
    ! [X53: $i] :
      ( ( c0_1 @ X53 )
      | ( c1_1 @ X53 )
      | ~ ( c3_1 @ X53 )
      | ~ ndr1_0
      | hskp28
      | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl355,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_cl44]) ).

thf(zip_derived_cl2265,plain,
    ( ( ( c0_1 @ a1095 )
      | ( c1_1 @ a1095 ) )
   <= ( ! [X53: $i] :
          ( ( c0_1 @ X53 )
          | ( c1_1 @ X53 )
          | ~ ( c3_1 @ X53 ) )
      & ( c3_1 @ a1095 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl565,zip_derived_cl355]) ).

thf('16',plain,
    ( ( c0_1 @ a1095 )
    | ~ ( c3_1 @ a1095 )
    | ( c1_1 @ a1095 )
    | ~ ! [X53: $i] :
          ( ( c0_1 @ X53 )
          | ( c1_1 @ X53 )
          | ~ ( c3_1 @ X53 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl2265]) ).

thf(zip_derived_cl65,plain,
    ( ~ hskp30
    | ( c0_1 @ a1109 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl429,plain,
    ( ( c0_1 @ a1109 )
   <= ( c0_1 @ a1109 ) ),
    inference(split,[status(esa)],[zip_derived_cl65]) ).

thf(zip_derived_cl7,plain,
    ! [X3: $i] :
      ( ~ ( c0_1 @ X3 )
      | ~ ( c1_1 @ X3 )
      | ~ ( c2_1 @ X3 )
      | ~ ndr1_0
      | hskp5
      | hskp13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl211,plain,
    ( ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl1468,plain,
    ( ( ~ ( c1_1 @ a1109 )
      | ~ ( c2_1 @ a1109 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ( c0_1 @ a1109 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl429,zip_derived_cl211]) ).

thf('17',plain,
    ( ~ ( c2_1 @ a1109 )
    | ~ ( c1_1 @ a1109 )
    | ~ ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
    | ~ ( c0_1 @ a1109 ) ),
    inference(split,[status(esa)],[zip_derived_cl1468]) ).

thf(zip_derived_cl565_003,plain,
    ( ( c3_1 @ a1095 )
   <= ( c3_1 @ a1095 ) ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf(zip_derived_cl347_004,plain,
    ( ! [X51: $i] :
        ( ( c1_1 @ X51 )
        | ~ ( c0_1 @ X51 )
        | ~ ( c3_1 @ X51 ) )
   <= ! [X51: $i] :
        ( ( c1_1 @ X51 )
        | ~ ( c0_1 @ X51 )
        | ~ ( c3_1 @ X51 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl2048,plain,
    ( ( ( c1_1 @ a1095 )
      | ~ ( c0_1 @ a1095 ) )
   <= ( ! [X51: $i] :
          ( ( c1_1 @ X51 )
          | ~ ( c0_1 @ X51 )
          | ~ ( c3_1 @ X51 ) )
      & ( c3_1 @ a1095 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl565,zip_derived_cl347]) ).

thf('18',plain,
    ( ~ ( c0_1 @ a1095 )
    | ~ ( c3_1 @ a1095 )
    | ~ ! [X51: $i] :
          ( ( c1_1 @ X51 )
          | ~ ( c0_1 @ X51 )
          | ~ ( c3_1 @ X51 ) )
    | ( c1_1 @ a1095 ) ),
    inference(split,[status(esa)],[zip_derived_cl2048]) ).

thf(zip_derived_cl67,plain,
    ( ~ hskp30
    | ( c3_1 @ a1109 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl433,plain,
    ( ( c3_1 @ a1109 )
   <= ( c3_1 @ a1109 ) ),
    inference(split,[status(esa)],[zip_derived_cl67]) ).

thf(zip_derived_cl11,plain,
    ! [X10: $i] :
      ( ( c2_1 @ X10 )
      | ~ ( c0_1 @ X10 )
      | ~ ( c3_1 @ X10 )
      | ~ ndr1_0
      | hskp28
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl227,plain,
    ( ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c3_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c3_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl1506,plain,
    ( ( ( c2_1 @ a1109 )
      | ~ ( c0_1 @ a1109 ) )
   <= ( ! [X10: $i] :
          ( ( c2_1 @ X10 )
          | ~ ( c0_1 @ X10 )
          | ~ ( c3_1 @ X10 ) )
      & ( c3_1 @ a1109 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl433,zip_derived_cl227]) ).

thf('19',plain,
    ( ( c2_1 @ a1109 )
    | ~ ( c3_1 @ a1109 )
    | ~ ! [X10: $i] :
          ( ( c2_1 @ X10 )
          | ~ ( c0_1 @ X10 )
          | ~ ( c3_1 @ X10 ) )
    | ~ ( c0_1 @ a1109 ) ),
    inference(split,[status(esa)],[zip_derived_cl1506]) ).

thf(zip_derived_cl433_005,plain,
    ( ( c3_1 @ a1109 )
   <= ( c3_1 @ a1109 ) ),
    inference(split,[status(esa)],[zip_derived_cl67]) ).

thf(zip_derived_cl223_006,plain,
    ( ! [X9: $i] :
        ( ~ ( c0_1 @ X9 )
        | ~ ( c2_1 @ X9 )
        | ~ ( c3_1 @ X9 ) )
   <= ! [X9: $i] :
        ( ~ ( c0_1 @ X9 )
        | ~ ( c2_1 @ X9 )
        | ~ ( c3_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl1505,plain,
    ( ( ~ ( c0_1 @ a1109 )
      | ~ ( c2_1 @ a1109 ) )
   <= ( ! [X9: $i] :
          ( ~ ( c0_1 @ X9 )
          | ~ ( c2_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
      & ( c3_1 @ a1109 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl433,zip_derived_cl223]) ).

thf('20',plain,
    ( ~ ( c2_1 @ a1109 )
    | ~ ( c3_1 @ a1109 )
    | ~ ! [X9: $i] :
          ( ~ ( c0_1 @ X9 )
          | ~ ( c2_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
    | ~ ( c0_1 @ a1109 ) ),
    inference(split,[status(esa)],[zip_derived_cl1505]) ).

thf(zip_derived_cl36,plain,
    ! [X42: $i] :
      ( ( c0_1 @ X42 )
      | ( c3_1 @ X42 )
      | ~ ( c2_1 @ X42 )
      | ~ ndr1_0
      | hskp4
      | hskp16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl324,plain,
    ( ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ( c3_1 @ X42 )
        | ~ ( c2_1 @ X42 ) )
   <= ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ( c3_1 @ X42 )
        | ~ ( c2_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl147,plain,
    ( ~ hskp10
    | ~ ( c3_1 @ a1090 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl593,plain,
    ( ~ ( c3_1 @ a1090 )
   <= ~ ( c3_1 @ a1090 ) ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl1525,plain,
    ( ( ~ ( c2_1 @ a1090 )
      | ( c0_1 @ a1090 ) )
   <= ( ~ ( c3_1 @ a1090 )
      & ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ( c3_1 @ X42 )
          | ~ ( c2_1 @ X42 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl324,zip_derived_cl593]) ).

thf('21',plain,
    ( ~ ( c2_1 @ a1090 )
    | ~ ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ( c3_1 @ X42 )
          | ~ ( c2_1 @ X42 ) )
    | ( c0_1 @ a1090 )
    | ( c3_1 @ a1090 ) ),
    inference(split,[status(esa)],[zip_derived_cl1525]) ).

thf(zip_derived_cl145,plain,
    ( ~ hskp10
    | ~ ( c0_1 @ a1090 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('22',plain,
    ( ~ ( c0_1 @ a1090 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf('23',plain,
    ( ~ ( c3_1 @ a1090 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl46,plain,
    ! [X56: $i,X57: $i] :
      ( ( c0_1 @ X56 )
      | ( c1_1 @ X56 )
      | ~ ( c3_1 @ X56 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X57 )
      | ~ ( c1_1 @ X57 )
      | ~ ( c2_1 @ X57 )
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('24',plain,
    ( hskp10
    | ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ( c1_1 @ X53 )
        | ~ ( c3_1 @ X53 ) )
    | ~ ndr1_0
    | ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl324_007,plain,
    ( ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ( c3_1 @ X42 )
        | ~ ( c2_1 @ X42 ) )
   <= ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ( c3_1 @ X42 )
        | ~ ( c2_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl103,plain,
    ( ~ hskp21
    | ~ ( c3_1 @ a1120 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl505,plain,
    ( ~ ( c3_1 @ a1120 )
   <= ~ ( c3_1 @ a1120 ) ),
    inference(split,[status(esa)],[zip_derived_cl103]) ).

thf(zip_derived_cl1530,plain,
    ( ( ~ ( c2_1 @ a1120 )
      | ( c0_1 @ a1120 ) )
   <= ( ~ ( c3_1 @ a1120 )
      & ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ( c3_1 @ X42 )
          | ~ ( c2_1 @ X42 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl324,zip_derived_cl505]) ).

thf(zip_derived_cl5152,plain,
    ( ( c0_1 @ a1120 )
   <= ( c0_1 @ a1120 ) ),
    inference(split,[status(esa)],[zip_derived_cl1530]) ).

thf(zip_derived_cl211_008,plain,
    ( ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl5154,plain,
    ( ( ~ ( c1_1 @ a1120 )
      | ~ ( c2_1 @ a1120 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ( c0_1 @ a1120 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl5152,zip_derived_cl211]) ).

thf('25',plain,
    ( ~ ( c0_1 @ a1120 )
    | ~ ( c2_1 @ a1120 )
    | ~ ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
    | ~ ( c1_1 @ a1120 ) ),
    inference(split,[status(esa)],[zip_derived_cl5154]) ).

thf(zip_derived_cl599_009,plain,
    ( ( c3_1 @ a1089 )
   <= ( c3_1 @ a1089 ) ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf(zip_derived_cl355_010,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_cl44]) ).

thf(zip_derived_cl2264,plain,
    ( ( ( c0_1 @ a1089 )
      | ( c1_1 @ a1089 ) )
   <= ( ! [X53: $i] :
          ( ( c0_1 @ X53 )
          | ( c1_1 @ X53 )
          | ~ ( c3_1 @ X53 ) )
      & ( c3_1 @ a1089 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl599,zip_derived_cl355]) ).

thf('26',plain,
    ( ~ ! [X53: $i] :
          ( ( c0_1 @ X53 )
          | ( c1_1 @ X53 )
          | ~ ( c3_1 @ X53 ) )
    | ( c0_1 @ a1089 )
    | ( c1_1 @ a1089 )
    | ~ ( c3_1 @ a1089 ) ),
    inference(split,[status(esa)],[zip_derived_cl2264]) ).

thf(zip_derived_cl56,plain,
    ! [X76: $i,X77: $i,X78: $i] :
      ( ( c0_1 @ X76 )
      | ( c1_1 @ X76 )
      | ( c2_1 @ X76 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X77 )
      | ~ ( c1_1 @ X77 )
      | ~ ( c3_1 @ X77 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X78 )
      | ~ ( c2_1 @ X78 )
      | ~ ( c3_1 @ X78 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('27',plain,
    ( ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c1_1 @ X75 )
        | ( c2_1 @ X75 ) )
    | ! [X9: $i] :
        ( ~ ( c0_1 @ X9 )
        | ~ ( c2_1 @ X9 )
        | ~ ( c3_1 @ X9 ) )
    | ~ ndr1_0
    | ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl56]) ).

thf(zip_derived_cl61,plain,
    ( ~ hskp31
    | ( c0_1 @ a1148 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('28',plain,
    ( ( c0_1 @ a1148 )
    | ~ hskp31 ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(zip_derived_cl62,plain,
    ( ~ hskp31
    | ( c1_1 @ a1148 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('29',plain,
    ( ( c1_1 @ a1148 )
    | ~ hskp31 ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf(zip_derived_cl63,plain,
    ( ~ hskp31
    | ( c2_1 @ a1148 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('30',plain,
    ( ( c2_1 @ a1148 )
    | ~ hskp31 ),
    inference(split,[status(esa)],[zip_derived_cl63]) ).

thf(zip_derived_cl8,plain,
    ! [X4: $i,X5: $i] :
      ( ( c3_1 @ X4 )
      | ~ ( c0_1 @ X4 )
      | ~ ( c2_1 @ X4 )
      | ~ ndr1_0
      | ( c3_1 @ X5 )
      | ~ ( c1_1 @ X5 )
      | ~ ( c2_1 @ X5 )
      | ~ ndr1_0
      | hskp31 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('31',plain,
    ( ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 ) )
    | ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) )
    | hskp31
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl51,plain,
    ! [X65: $i,X66: $i,X67: $i] :
      ( ( c0_1 @ X65 )
      | ( c1_1 @ X65 )
      | ~ ( c2_1 @ X65 )
      | ~ ndr1_0
      | ( c0_1 @ X66 )
      | ~ ( c1_1 @ X66 )
      | ~ ( c2_1 @ X66 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X67 )
      | ~ ( c1_1 @ X67 )
      | ~ ( c2_1 @ X67 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('32',plain,
    ( ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
    | ! [X39: $i] :
        ( ( c0_1 @ X39 )
        | ~ ( c1_1 @ X39 )
        | ~ ( c2_1 @ X39 ) )
    | ~ ndr1_0
    | ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c1_1 @ X58 )
        | ~ ( c2_1 @ X58 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf(zip_derived_cl441_011,plain,
    ( ( c3_1 @ a1101 )
   <= ( c3_1 @ a1101 ) ),
    inference(split,[status(esa)],[zip_derived_cl71]) ).

thf(zip_derived_cl6,plain,
    ! [X2: $i] :
      ( ~ ( c0_1 @ X2 )
      | ~ ( c1_1 @ X2 )
      | ~ ( c3_1 @ X2 )
      | ~ ndr1_0
      | hskp19
      | hskp2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl207,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl1556,plain,
    ( ( ~ ( c0_1 @ a1101 )
      | ~ ( c1_1 @ a1101 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ( c3_1 @ a1101 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl441,zip_derived_cl207]) ).

thf(zip_derived_cl2829,plain,
    ( ~ ( c0_1 @ a1101 )
   <= ~ ( c0_1 @ a1101 ) ),
    inference(split,[status(esa)],[zip_derived_cl1556]) ).

thf(zip_derived_cl34,plain,
    ! [X39: $i] :
      ( ( c0_1 @ X39 )
      | ~ ( c1_1 @ X39 )
      | ~ ( c2_1 @ X39 )
      | ~ ndr1_0
      | hskp15
      | hskp17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl316,plain,
    ( ! [X39: $i] :
        ( ( c0_1 @ X39 )
        | ~ ( c1_1 @ X39 )
        | ~ ( c2_1 @ X39 ) )
   <= ! [X39: $i] :
        ( ( c0_1 @ X39 )
        | ~ ( c1_1 @ X39 )
        | ~ ( c2_1 @ X39 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl2831,plain,
    ( ( ~ ( c1_1 @ a1101 )
      | ~ ( c2_1 @ a1101 ) )
   <= ( ~ ( c0_1 @ a1101 )
      & ! [X39: $i] :
          ( ( c0_1 @ X39 )
          | ~ ( c1_1 @ X39 )
          | ~ ( c2_1 @ X39 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2829,zip_derived_cl316]) ).

thf('33',plain,
    ( ~ ! [X39: $i] :
          ( ( c0_1 @ X39 )
          | ~ ( c1_1 @ X39 )
          | ~ ( c2_1 @ X39 ) )
    | ( c0_1 @ a1101 )
    | ~ ( c1_1 @ a1101 )
    | ~ ( c2_1 @ a1101 ) ),
    inference(split,[status(esa)],[zip_derived_cl2831]) ).

thf(zip_derived_cl69,plain,
    ( ~ hskp29
    | ( c1_1 @ a1101 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('34',plain,
    ( ( c1_1 @ a1101 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl69]) ).

thf(zip_derived_cl70,plain,
    ( ~ hskp29
    | ( c2_1 @ a1101 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('35',plain,
    ( ( c2_1 @ a1101 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl70]) ).

thf('36',plain,
    ( ( c3_1 @ a1101 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl71]) ).

thf('37',plain,
    ( ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ~ ( c0_1 @ a1101 )
    | ~ ( c3_1 @ a1101 )
    | ~ ( c1_1 @ a1101 ) ),
    inference(split,[status(esa)],[zip_derived_cl1556]) ).

thf('38',plain,
    ( hskp29
    | ! [X46: $i] :
        ( ( c0_1 @ X46 )
        | ( c3_1 @ X46 )
        | ~ ( c1_1 @ X46 ) )
    | ~ ndr1_0
    | ! [X14: $i] :
        ( ( c1_1 @ X14 )
        | ~ ( c2_1 @ X14 )
        | ~ ( c3_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl13,plain,
    ! [X12: $i] :
      ( ( c2_1 @ X12 )
      | ~ ( c0_1 @ X12 )
      | ~ ( c1_1 @ X12 )
      | ~ ndr1_0
      | hskp30
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('39',plain,
    ( hskp30
    | hskp9
    | ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c1_1 @ X11 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl174,plain,
    ( ~ hskp3
    | ~ ( c2_1 @ a1083 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('40',plain,
    ( ~ ( c2_1 @ a1083 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf(zip_derived_cl649_012,plain,
    ( ~ ( c3_1 @ a1083 )
   <= ~ ( c3_1 @ a1083 ) ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl239_013,plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c0_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c0_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl937,plain,
    ( ( ( c2_1 @ a1083 )
      | ~ ( c0_1 @ a1083 ) )
   <= ( ~ ( c3_1 @ a1083 )
      & ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ( c3_1 @ X13 )
          | ~ ( c0_1 @ X13 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl649,zip_derived_cl239]) ).

thf('41',plain,
    ( ~ ( c0_1 @ a1083 )
    | ( c3_1 @ a1083 )
    | ~ ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ( c3_1 @ X13 )
          | ~ ( c0_1 @ X13 ) )
    | ( c2_1 @ a1083 ) ),
    inference(split,[status(esa)],[zip_derived_cl937]) ).

thf(zip_derived_cl173,plain,
    ( ~ hskp3
    | ( c1_1 @ a1083 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('42',plain,
    ( ( c1_1 @ a1083 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl173]) ).

thf('43',plain,
    ( ~ ( c3_1 @ a1083 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl53,plain,
    ! [X70: $i,X71: $i] :
      ( ( c0_1 @ X70 )
      | ( c1_1 @ X70 )
      | ~ ( c2_1 @ X70 )
      | ~ ndr1_0
      | ( c0_1 @ X71 )
      | ( c2_1 @ X71 )
      | ~ ( c1_1 @ X71 )
      | ~ ndr1_0
      | hskp3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('44',plain,
    ( ! [X48: $i] :
        ( ( c0_1 @ X48 )
        | ( c2_1 @ X48 )
        | ~ ( c1_1 @ X48 ) )
    | hskp3
    | ~ ndr1_0
    | ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c1_1 @ X58 )
        | ~ ( c2_1 @ X58 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(zip_derived_cl52,plain,
    ! [X68: $i,X69: $i] :
      ( ( c0_1 @ X68 )
      | ( c1_1 @ X68 )
      | ~ ( c2_1 @ X68 )
      | ~ ndr1_0
      | ( c0_1 @ X69 )
      | ( c3_1 @ X69 )
      | ~ ( c1_1 @ X69 )
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('45',plain,
    ( hskp4
    | ! [X46: $i] :
        ( ( c0_1 @ X46 )
        | ( c3_1 @ X46 )
        | ~ ( c1_1 @ X46 ) )
    | ~ ndr1_0
    | ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c1_1 @ X58 )
        | ~ ( c2_1 @ X58 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf('46',plain,
    ( hskp4
    | ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ( c3_1 @ X42 )
        | ~ ( c2_1 @ X42 ) )
    | hskp16
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl16,plain,
    ! [X15: $i] :
      ( ( c1_1 @ X15 )
      | ~ ( c2_1 @ X15 )
      | ~ ( c3_1 @ X15 )
      | ~ ndr1_0
      | hskp14
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('47',plain,
    ( hskp14
    | hskp11
    | ! [X14: $i] :
        ( ( c1_1 @ X14 )
        | ~ ( c2_1 @ X14 )
        | ~ ( c3_1 @ X14 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl121,plain,
    ( ~ hskp16
    | ( c1_1 @ a1100 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('48',plain,
    ( ( c1_1 @ a1100 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl122,plain,
    ( ~ hskp16
    | ~ ( c0_1 @ a1100 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('49',plain,
    ( ~ hskp16
    | ~ ( c0_1 @ a1100 ) ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl123,plain,
    ( ~ hskp16
    | ~ ( c3_1 @ a1100 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('50',plain,
    ( ~ hskp16
    | ~ ( c3_1 @ a1100 ) ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl336_014,plain,
    ( ! [X46: $i] :
        ( ( c0_1 @ X46 )
        | ( c3_1 @ X46 )
        | ~ ( c1_1 @ X46 ) )
   <= ! [X46: $i] :
        ( ( c0_1 @ X46 )
        | ( c3_1 @ X46 )
        | ~ ( c1_1 @ X46 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl545,plain,
    ( ~ ( c3_1 @ a1100 )
   <= ~ ( c3_1 @ a1100 ) ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl1755,plain,
    ( ( ~ ( c1_1 @ a1100 )
      | ( c0_1 @ a1100 ) )
   <= ( ~ ( c3_1 @ a1100 )
      & ! [X46: $i] :
          ( ( c0_1 @ X46 )
          | ( c3_1 @ X46 )
          | ~ ( c1_1 @ X46 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl336,zip_derived_cl545]) ).

thf('51',plain,
    ( ( c0_1 @ a1100 )
    | ( c3_1 @ a1100 )
    | ~ ! [X46: $i] :
          ( ( c0_1 @ X46 )
          | ( c3_1 @ X46 )
          | ~ ( c1_1 @ X46 ) )
    | ~ ( c1_1 @ a1100 ) ),
    inference(split,[status(esa)],[zip_derived_cl1755]) ).

thf(zip_derived_cl171,plain,
    ( ~ hskp4
    | ~ ( c3_1 @ a1084 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl641,plain,
    ( ~ ( c3_1 @ a1084 )
   <= ~ ( c3_1 @ a1084 ) ),
    inference(split,[status(esa)],[zip_derived_cl171]) ).

thf(zip_derived_cl239_015,plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c0_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c0_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl919,plain,
    ( ( ( c2_1 @ a1084 )
      | ~ ( c0_1 @ a1084 ) )
   <= ( ~ ( c3_1 @ a1084 )
      & ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ( c3_1 @ X13 )
          | ~ ( c0_1 @ X13 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl641,zip_derived_cl239]) ).

thf('52',plain,
    ( ( c2_1 @ a1084 )
    | ( c3_1 @ a1084 )
    | ~ ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ( c3_1 @ X13 )
          | ~ ( c0_1 @ X13 ) )
    | ~ ( c0_1 @ a1084 ) ),
    inference(split,[status(esa)],[zip_derived_cl919]) ).

thf(zip_derived_cl169,plain,
    ( ~ hskp4
    | ( c0_1 @ a1084 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('53',plain,
    ( ( c0_1 @ a1084 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl169]) ).

thf(zip_derived_cl170,plain,
    ( ~ hskp4
    | ~ ( c1_1 @ a1084 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('54',plain,
    ( ~ ( c1_1 @ a1084 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf('55',plain,
    ( ~ ( c3_1 @ a1084 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl171]) ).

thf(zip_derived_cl637,plain,
    ( ( c0_1 @ a1084 )
   <= ( c0_1 @ a1084 ) ),
    inference(split,[status(esa)],[zip_derived_cl169]) ).

thf(zip_derived_cl254,plain,
    ( ! [X17: $i] :
        ( ( c1_1 @ X17 )
        | ~ ( c0_1 @ X17 )
        | ~ ( c2_1 @ X17 ) )
   <= ! [X17: $i] :
        ( ( c1_1 @ X17 )
        | ~ ( c0_1 @ X17 )
        | ~ ( c2_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl2153,plain,
    ( ( ( c1_1 @ a1084 )
      | ~ ( c2_1 @ a1084 ) )
   <= ( ! [X17: $i] :
          ( ( c1_1 @ X17 )
          | ~ ( c0_1 @ X17 )
          | ~ ( c2_1 @ X17 ) )
      & ( c0_1 @ a1084 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl637,zip_derived_cl254]) ).

thf('56',plain,
    ( ~ ! [X17: $i] :
          ( ( c1_1 @ X17 )
          | ~ ( c0_1 @ X17 )
          | ~ ( c2_1 @ X17 ) )
    | ~ ( c0_1 @ a1084 )
    | ( c1_1 @ a1084 )
    | ~ ( c2_1 @ a1084 ) ),
    inference(split,[status(esa)],[zip_derived_cl2153]) ).

thf(zip_derived_cl336_016,plain,
    ( ! [X46: $i] :
        ( ( c0_1 @ X46 )
        | ( c3_1 @ X46 )
        | ~ ( c1_1 @ X46 ) )
   <= ! [X46: $i] :
        ( ( c0_1 @ X46 )
        | ( c3_1 @ X46 )
        | ~ ( c1_1 @ X46 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl649_017,plain,
    ( ~ ( c3_1 @ a1083 )
   <= ~ ( c3_1 @ a1083 ) ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl1749,plain,
    ( ( ~ ( c1_1 @ a1083 )
      | ( c0_1 @ a1083 ) )
   <= ( ~ ( c3_1 @ a1083 )
      & ! [X46: $i] :
          ( ( c0_1 @ X46 )
          | ( c3_1 @ X46 )
          | ~ ( c1_1 @ X46 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl336,zip_derived_cl649]) ).

thf('57',plain,
    ( ( c0_1 @ a1083 )
    | ( c3_1 @ a1083 )
    | ~ ! [X46: $i] :
          ( ( c0_1 @ X46 )
          | ( c3_1 @ X46 )
          | ~ ( c1_1 @ X46 ) )
    | ~ ( c1_1 @ a1083 ) ),
    inference(split,[status(esa)],[zip_derived_cl1749]) ).

thf(zip_derived_cl130,plain,
    ( ~ hskp14
    | ( c3_1 @ a1097 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl559,plain,
    ( ( c3_1 @ a1097 )
   <= ( c3_1 @ a1097 ) ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(zip_derived_cl207_018,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl1971,plain,
    ( ( ~ ( c0_1 @ a1097 )
      | ~ ( c1_1 @ a1097 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ( c3_1 @ a1097 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl559,zip_derived_cl207]) ).

thf(zip_derived_cl2949,plain,
    ( ~ ( c0_1 @ a1097 )
   <= ~ ( c0_1 @ a1097 ) ),
    inference(split,[status(esa)],[zip_derived_cl1971]) ).

thf(zip_derived_cl40,plain,
    ! [X48: $i] :
      ( ( c0_1 @ X48 )
      | ( c2_1 @ X48 )
      | ~ ( c1_1 @ X48 )
      | ~ ndr1_0
      | hskp0
      | hskp16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl339,plain,
    ( ! [X48: $i] :
        ( ( c0_1 @ X48 )
        | ( c2_1 @ X48 )
        | ~ ( c1_1 @ X48 ) )
   <= ! [X48: $i] :
        ( ( c0_1 @ X48 )
        | ( c2_1 @ X48 )
        | ~ ( c1_1 @ X48 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl2952,plain,
    ( ( ( c2_1 @ a1097 )
      | ~ ( c1_1 @ a1097 ) )
   <= ( ~ ( c0_1 @ a1097 )
      & ! [X48: $i] :
          ( ( c0_1 @ X48 )
          | ( c2_1 @ X48 )
          | ~ ( c1_1 @ X48 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2949,zip_derived_cl339]) ).

thf('58',plain,
    ( ( c0_1 @ a1097 )
    | ~ ! [X48: $i] :
          ( ( c0_1 @ X48 )
          | ( c2_1 @ X48 )
          | ~ ( c1_1 @ X48 ) )
    | ( c2_1 @ a1097 )
    | ~ ( c1_1 @ a1097 ) ),
    inference(split,[status(esa)],[zip_derived_cl2952]) ).

thf(zip_derived_cl33,plain,
    ! [X38: $i] :
      ( ( c0_1 @ X38 )
      | ~ ( c1_1 @ X38 )
      | ~ ( c3_1 @ X38 )
      | ~ ndr1_0
      | hskp30
      | hskp18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('59',plain,
    ( hskp30
    | hskp18
    | ! [X37: $i] :
        ( ( c0_1 @ X37 )
        | ~ ( c1_1 @ X37 )
        | ~ ( c3_1 @ X37 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf('60',plain,
    ( ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ~ ( c0_1 @ a1097 )
    | ~ ( c1_1 @ a1097 )
    | ~ ( c3_1 @ a1097 ) ),
    inference(split,[status(esa)],[zip_derived_cl1971]) ).

thf(zip_derived_cl114,plain,
    ( ~ hskp18
    | ( c3_1 @ a1103 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl527,plain,
    ( ( c3_1 @ a1103 )
   <= ( c3_1 @ a1103 ) ),
    inference(split,[status(esa)],[zip_derived_cl114]) ).

thf(zip_derived_cl223_019,plain,
    ( ! [X9: $i] :
        ( ~ ( c0_1 @ X9 )
        | ~ ( c2_1 @ X9 )
        | ~ ( c3_1 @ X9 ) )
   <= ! [X9: $i] :
        ( ~ ( c0_1 @ X9 )
        | ~ ( c2_1 @ X9 )
        | ~ ( c3_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl1844,plain,
    ( ( ~ ( c0_1 @ a1103 )
      | ~ ( c2_1 @ a1103 ) )
   <= ( ! [X9: $i] :
          ( ~ ( c0_1 @ X9 )
          | ~ ( c2_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
      & ( c3_1 @ a1103 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl527,zip_derived_cl223]) ).

thf('61',plain,
    ( ~ ( c2_1 @ a1103 )
    | ~ ! [X9: $i] :
          ( ~ ( c0_1 @ X9 )
          | ~ ( c2_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
    | ~ ( c3_1 @ a1103 )
    | ~ ( c0_1 @ a1103 ) ),
    inference(split,[status(esa)],[zip_derived_cl1844]) ).

thf(zip_derived_cl75,plain,
    ( ~ hskp28
    | ( c3_1 @ a1092 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl449,plain,
    ( ( c3_1 @ a1092 )
   <= ( c3_1 @ a1092 ) ),
    inference(split,[status(esa)],[zip_derived_cl75]) ).

thf(zip_derived_cl207_020,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl1597,plain,
    ( ( ~ ( c0_1 @ a1092 )
      | ~ ( c1_1 @ a1092 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ( c3_1 @ a1092 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl449,zip_derived_cl207]) ).

thf('62',plain,
    ( ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ~ ( c1_1 @ a1092 )
    | ~ ( c0_1 @ a1092 )
    | ~ ( c3_1 @ a1092 ) ),
    inference(split,[status(esa)],[zip_derived_cl1597]) ).

thf(zip_derived_cl73,plain,
    ( ~ hskp28
    | ( c0_1 @ a1092 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl445,plain,
    ( ( c0_1 @ a1092 )
   <= ( c0_1 @ a1092 ) ),
    inference(split,[status(esa)],[zip_derived_cl73]) ).

thf(zip_derived_cl254_021,plain,
    ( ! [X17: $i] :
        ( ( c1_1 @ X17 )
        | ~ ( c0_1 @ X17 )
        | ~ ( c2_1 @ X17 ) )
   <= ! [X17: $i] :
        ( ( c1_1 @ X17 )
        | ~ ( c0_1 @ X17 )
        | ~ ( c2_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl1566,plain,
    ( ( ( c1_1 @ a1092 )
      | ~ ( c2_1 @ a1092 ) )
   <= ( ! [X17: $i] :
          ( ( c1_1 @ X17 )
          | ~ ( c0_1 @ X17 )
          | ~ ( c2_1 @ X17 ) )
      & ( c0_1 @ a1092 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl445,zip_derived_cl254]) ).

thf('63',plain,
    ( ( c1_1 @ a1092 )
    | ~ ( c0_1 @ a1092 )
    | ~ ! [X17: $i] :
          ( ( c1_1 @ X17 )
          | ~ ( c0_1 @ X17 )
          | ~ ( c2_1 @ X17 ) )
    | ~ ( c2_1 @ a1092 ) ),
    inference(split,[status(esa)],[zip_derived_cl1566]) ).

thf('64',plain,
    ( ( c0_1 @ a1109 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl65]) ).

thf(zip_derived_cl66,plain,
    ( ~ hskp30
    | ( c1_1 @ a1109 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('65',plain,
    ( ( c1_1 @ a1109 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf('66',plain,
    ( ( c3_1 @ a1109 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl67]) ).

thf(zip_derived_cl433_022,plain,
    ( ( c3_1 @ a1109 )
   <= ( c3_1 @ a1109 ) ),
    inference(split,[status(esa)],[zip_derived_cl67]) ).

thf(zip_derived_cl207_023,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl1503,plain,
    ( ( ~ ( c0_1 @ a1109 )
      | ~ ( c1_1 @ a1109 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ( c3_1 @ a1109 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl433,zip_derived_cl207]) ).

thf('67',plain,
    ( ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ~ ( c1_1 @ a1109 )
    | ~ ( c0_1 @ a1109 )
    | ~ ( c3_1 @ a1109 ) ),
    inference(split,[status(esa)],[zip_derived_cl1503]) ).

thf(zip_derived_cl421,plain,
    ( ( c0_1 @ a1148 )
   <= ( c0_1 @ a1148 ) ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(zip_derived_cl211_024,plain,
    ( ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl1432,plain,
    ( ( ~ ( c1_1 @ a1148 )
      | ~ ( c2_1 @ a1148 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ( c0_1 @ a1148 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl421,zip_derived_cl211]) ).

thf('68',plain,
    ( ~ ( c0_1 @ a1148 )
    | ~ ( c1_1 @ a1148 )
    | ~ ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
    | ~ ( c2_1 @ a1148 ) ),
    inference(split,[status(esa)],[zip_derived_cl1432]) ).

thf(zip_derived_cl399_025,plain,
    ( ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c1_1 @ X75 )
        | ( c2_1 @ X75 ) )
   <= ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c1_1 @ X75 )
        | ( c2_1 @ X75 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf(zip_derived_cl157,plain,
    ( ~ hskp7
    | ~ ( c0_1 @ a1087 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl613,plain,
    ( ~ ( c0_1 @ a1087 )
   <= ~ ( c0_1 @ a1087 ) ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl2501,plain,
    ( ( ( c2_1 @ a1087 )
      | ( c1_1 @ a1087 ) )
   <= ( ~ ( c0_1 @ a1087 )
      & ! [X75: $i] :
          ( ( c0_1 @ X75 )
          | ( c1_1 @ X75 )
          | ( c2_1 @ X75 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl399,zip_derived_cl613]) ).

thf('69',plain,
    ( ( c0_1 @ a1087 )
    | ( c1_1 @ a1087 )
    | ~ ! [X75: $i] :
          ( ( c0_1 @ X75 )
          | ( c1_1 @ X75 )
          | ( c2_1 @ X75 ) )
    | ( c2_1 @ a1087 ) ),
    inference(split,[status(esa)],[zip_derived_cl2501]) ).

thf('70',plain,
    ( ~ ( c0_1 @ a1087 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl158,plain,
    ( ~ hskp7
    | ~ ( c1_1 @ a1087 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('71',plain,
    ( ~ ( c1_1 @ a1087 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl159,plain,
    ( ~ hskp7
    | ~ ( c2_1 @ a1087 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('72',plain,
    ( ~ ( c2_1 @ a1087 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl48,plain,
    ! [X59: $i] :
      ( ( c0_1 @ X59 )
      | ( c1_1 @ X59 )
      | ~ ( c2_1 @ X59 )
      | ~ ndr1_0
      | hskp6
      | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('73',plain,
    ( hskp7
    | hskp6
    | ~ ndr1_0
    | ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c1_1 @ X58 )
        | ~ ( c2_1 @ X58 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl109,plain,
    ( ~ hskp19
    | ( c0_1 @ a1113 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl517,plain,
    ( ( c0_1 @ a1113 )
   <= ( c0_1 @ a1113 ) ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf(zip_derived_cl239_026,plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c0_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c0_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl227_027,plain,
    ( ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c3_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c3_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl753,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ( c2_1 @ X0 )
        | ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 ) )
   <= ( ! [X10: $i] :
          ( ( c2_1 @ X10 )
          | ~ ( c0_1 @ X10 )
          | ~ ( c3_1 @ X10 ) )
      & ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ( c3_1 @ X13 )
          | ~ ( c0_1 @ X13 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl239,zip_derived_cl227]) ).

thf(zip_derived_cl757,plain,
    ( ! [X0: $i] :
        ( ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 ) )
   <= ( ! [X10: $i] :
          ( ( c2_1 @ X10 )
          | ~ ( c0_1 @ X10 )
          | ~ ( c3_1 @ X10 ) )
      & ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ( c3_1 @ X13 )
          | ~ ( c0_1 @ X13 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl753]) ).

thf(zip_derived_cl1793,plain,
    ( ( c2_1 @ a1113 )
   <= ( ! [X10: $i] :
          ( ( c2_1 @ X10 )
          | ~ ( c0_1 @ X10 )
          | ~ ( c3_1 @ X10 ) )
      & ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ( c3_1 @ X13 )
          | ~ ( c0_1 @ X13 ) )
      & ( c0_1 @ a1113 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl517,zip_derived_cl757]) ).

thf(zip_derived_cl111,plain,
    ( ~ hskp19
    | ~ ( c2_1 @ a1113 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl521,plain,
    ( ~ ( c2_1 @ a1113 )
   <= ~ ( c2_1 @ a1113 ) ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf('74',plain,
    ( ~ ! [X10: $i] :
          ( ( c2_1 @ X10 )
          | ~ ( c0_1 @ X10 )
          | ~ ( c3_1 @ X10 ) )
    | ~ ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ( c3_1 @ X13 )
          | ~ ( c0_1 @ X13 ) )
    | ~ ( c0_1 @ a1113 )
    | ( c2_1 @ a1113 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1793,zip_derived_cl521]) ).

thf(zip_derived_cl47,plain,
    ! [X58: $i] :
      ( ( c0_1 @ X58 )
      | ( c1_1 @ X58 )
      | ~ ( c2_1 @ X58 )
      | ~ ndr1_0
      | hskp8
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('75',plain,
    ( hskp8
    | hskp9
    | ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c1_1 @ X58 )
        | ~ ( c2_1 @ X58 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(zip_derived_cl181,plain,
    ( ~ hskp1
    | ( c3_1 @ a1081 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('76',plain,
    ( ( c3_1 @ a1081 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl181]) ).

thf(zip_derived_cl182,plain,
    ( ~ hskp1
    | ~ ( c0_1 @ a1081 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('77',plain,
    ( ~ ( c0_1 @ a1081 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf(zip_derived_cl183,plain,
    ( ~ hskp1
    | ~ ( c1_1 @ a1081 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('78',plain,
    ( ~ ( c1_1 @ a1081 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl183]) ).

thf(zip_derived_cl24,plain,
    ! [X25: $i,X26: $i] :
      ( ( c1_1 @ X25 )
      | ( c2_1 @ X25 )
      | ~ ( c3_1 @ X25 )
      | ~ ndr1_0
      | ( c2_1 @ X26 )
      | ~ ( c0_1 @ X26 )
      | ~ ( c1_1 @ X26 )
      | ~ ndr1_0
      | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('79',plain,
    ( hskp1
    | ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ( c2_1 @ X24 )
        | ~ ( c3_1 @ X24 ) )
    | ~ ndr1_0
    | ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c1_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl559_028,plain,
    ( ( c3_1 @ a1097 )
   <= ( c3_1 @ a1097 ) ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(zip_derived_cl224,plain,
    ( ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c1_1 @ X8 )
        | ~ ( c3_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c1_1 @ X8 )
        | ~ ( c3_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl1972,plain,
    ( ( ( c2_1 @ a1097 )
      | ~ ( c1_1 @ a1097 ) )
   <= ( ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c1_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
      & ( c3_1 @ a1097 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl559,zip_derived_cl224]) ).

thf('80',plain,
    ( ~ ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c1_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
    | ~ ( c3_1 @ a1097 )
    | ( c2_1 @ a1097 )
    | ~ ( c1_1 @ a1097 ) ),
    inference(split,[status(esa)],[zip_derived_cl1972]) ).

thf(zip_derived_cl45,plain,
    ! [X54: $i,X55: $i] :
      ( ( c0_1 @ X54 )
      | ( c1_1 @ X54 )
      | ~ ( c3_1 @ X54 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X55 )
      | ~ ( c2_1 @ X55 )
      | ~ ( c3_1 @ X55 )
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('81',plain,
    ( hskp11
    | ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ( c1_1 @ X53 )
        | ~ ( c3_1 @ X53 ) )
    | ! [X9: $i] :
        ( ~ ( c0_1 @ X9 )
        | ~ ( c2_1 @ X9 )
        | ~ ( c3_1 @ X9 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl141,plain,
    ( ~ hskp11
    | ( c2_1 @ a1091 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('82',plain,
    ( ( c2_1 @ a1091 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf(zip_derived_cl142,plain,
    ( ~ hskp11
    | ~ ( c0_1 @ a1091 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('83',plain,
    ( ~ ( c0_1 @ a1091 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf(zip_derived_cl143,plain,
    ( ~ hskp11
    | ~ ( c3_1 @ a1091 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('84',plain,
    ( ~ ( c3_1 @ a1091 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(zip_derived_cl324_029,plain,
    ( ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ( c3_1 @ X42 )
        | ~ ( c2_1 @ X42 ) )
   <= ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ( c3_1 @ X42 )
        | ~ ( c2_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl585,plain,
    ( ~ ( c3_1 @ a1091 )
   <= ~ ( c3_1 @ a1091 ) ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(zip_derived_cl1526,plain,
    ( ( ~ ( c2_1 @ a1091 )
      | ( c0_1 @ a1091 ) )
   <= ( ~ ( c3_1 @ a1091 )
      & ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ( c3_1 @ X42 )
          | ~ ( c2_1 @ X42 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl324,zip_derived_cl585]) ).

thf('85',plain,
    ( ~ ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ( c3_1 @ X42 )
          | ~ ( c2_1 @ X42 ) )
    | ( c0_1 @ a1091 )
    | ( c3_1 @ a1091 )
    | ~ ( c2_1 @ a1091 ) ),
    inference(split,[status(esa)],[zip_derived_cl1526]) ).

thf('86',plain,
    ( hskp23
    | ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ( c2_1 @ X24 )
        | ~ ( c3_1 @ X24 ) )
    | ~ ndr1_0
    | ! [X28: $i] :
        ( ( c2_1 @ X28 )
        | ( c3_1 @ X28 )
        | ~ ( c1_1 @ X28 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl32,plain,
    ! [X37: $i] :
      ( ( c0_1 @ X37 )
      | ~ ( c1_1 @ X37 )
      | ~ ( c3_1 @ X37 )
      | ~ ndr1_0
      | hskp9
      | hskp2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('87',plain,
    ( hskp2
    | ! [X37: $i] :
        ( ( c0_1 @ X37 )
        | ~ ( c1_1 @ X37 )
        | ~ ( c3_1 @ X37 ) )
    | ~ ndr1_0
    | hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl565_030,plain,
    ( ( c3_1 @ a1095 )
   <= ( c3_1 @ a1095 ) ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf(zip_derived_cl23,plain,
    ! [X24: $i] :
      ( ( c1_1 @ X24 )
      | ( c2_1 @ X24 )
      | ~ ( c3_1 @ X24 )
      | ~ ndr1_0
      | hskp24
      | hskp25 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl273,plain,
    ( ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ( c2_1 @ X24 )
        | ~ ( c3_1 @ X24 ) )
   <= ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ( c2_1 @ X24 )
        | ~ ( c3_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl1985,plain,
    ( ( ( c1_1 @ a1095 )
      | ( c2_1 @ a1095 ) )
   <= ( ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ( c2_1 @ X24 )
          | ~ ( c3_1 @ X24 ) )
      & ( c3_1 @ a1095 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl565,zip_derived_cl273]) ).

thf('88',plain,
    ( ~ ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ( c2_1 @ X24 )
          | ~ ( c3_1 @ X24 ) )
    | ~ ( c3_1 @ a1095 )
    | ( c1_1 @ a1095 )
    | ( c2_1 @ a1095 ) ),
    inference(split,[status(esa)],[zip_derived_cl1985]) ).

thf(zip_derived_cl559_031,plain,
    ( ( c3_1 @ a1097 )
   <= ( c3_1 @ a1097 ) ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(zip_derived_cl308,plain,
    ( ! [X37: $i] :
        ( ( c0_1 @ X37 )
        | ~ ( c1_1 @ X37 )
        | ~ ( c3_1 @ X37 ) )
   <= ! [X37: $i] :
        ( ( c0_1 @ X37 )
        | ~ ( c1_1 @ X37 )
        | ~ ( c3_1 @ X37 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl1978,plain,
    ( ( ( c0_1 @ a1097 )
      | ~ ( c1_1 @ a1097 ) )
   <= ( ! [X37: $i] :
          ( ( c0_1 @ X37 )
          | ~ ( c1_1 @ X37 )
          | ~ ( c3_1 @ X37 ) )
      & ( c3_1 @ a1097 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl559,zip_derived_cl308]) ).

thf('89',plain,
    ( ( c0_1 @ a1097 )
    | ~ ! [X37: $i] :
          ( ( c0_1 @ X37 )
          | ~ ( c1_1 @ X37 )
          | ~ ( c3_1 @ X37 ) )
    | ~ ( c3_1 @ a1097 )
    | ~ ( c1_1 @ a1097 ) ),
    inference(split,[status(esa)],[zip_derived_cl1978]) ).

thf('90',plain,
    ( ( c3_1 @ a1095 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf(zip_derived_cl134,plain,
    ( ~ hskp13
    | ~ ( c1_1 @ a1095 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('91',plain,
    ( ~ ( c1_1 @ a1095 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl135,plain,
    ( ~ hskp13
    | ~ ( c2_1 @ a1095 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('92',plain,
    ( ~ ( c2_1 @ a1095 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl135]) ).

thf(zip_derived_cl559_032,plain,
    ( ( c3_1 @ a1097 )
   <= ( c3_1 @ a1097 ) ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(zip_derived_cl227_033,plain,
    ( ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c3_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c3_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl1974,plain,
    ( ( ( c2_1 @ a1097 )
      | ~ ( c0_1 @ a1097 ) )
   <= ( ! [X10: $i] :
          ( ( c2_1 @ X10 )
          | ~ ( c0_1 @ X10 )
          | ~ ( c3_1 @ X10 ) )
      & ( c3_1 @ a1097 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl559,zip_derived_cl227]) ).

thf('93',plain,
    ( ~ ! [X10: $i] :
          ( ( c2_1 @ X10 )
          | ~ ( c0_1 @ X10 )
          | ~ ( c3_1 @ X10 ) )
    | ~ ( c0_1 @ a1097 )
    | ~ ( c3_1 @ a1097 )
    | ( c2_1 @ a1097 ) ),
    inference(split,[status(esa)],[zip_derived_cl1974]) ).

thf('94',plain,
    ( hskp13
    | hskp5
    | ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl129,plain,
    ( ~ hskp14
    | ( c1_1 @ a1097 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('95',plain,
    ( ( c1_1 @ a1097 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf('96',plain,
    ( ( c3_1 @ a1097 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(zip_derived_cl41,plain,
    ! [X49: $i] :
      ( ( c0_1 @ X49 )
      | ( c2_1 @ X49 )
      | ~ ( c1_1 @ X49 )
      | ~ ndr1_0
      | hskp14
      | hskp15 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('97',plain,
    ( hskp14
    | hskp15
    | ! [X48: $i] :
        ( ( c0_1 @ X48 )
        | ( c2_1 @ X48 )
        | ~ ( c1_1 @ X48 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl449_034,plain,
    ( ( c3_1 @ a1092 )
   <= ( c3_1 @ a1092 ) ),
    inference(split,[status(esa)],[zip_derived_cl75]) ).

thf(zip_derived_cl347_035,plain,
    ( ! [X51: $i] :
        ( ( c1_1 @ X51 )
        | ~ ( c0_1 @ X51 )
        | ~ ( c3_1 @ X51 ) )
   <= ! [X51: $i] :
        ( ( c1_1 @ X51 )
        | ~ ( c0_1 @ X51 )
        | ~ ( c3_1 @ X51 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl2054,plain,
    ( ( ( c1_1 @ a1092 )
      | ~ ( c0_1 @ a1092 ) )
   <= ( ! [X51: $i] :
          ( ( c1_1 @ X51 )
          | ~ ( c0_1 @ X51 )
          | ~ ( c3_1 @ X51 ) )
      & ( c3_1 @ a1092 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl449,zip_derived_cl347]) ).

thf('98',plain,
    ( ( c1_1 @ a1092 )
    | ~ ! [X51: $i] :
          ( ( c1_1 @ X51 )
          | ~ ( c0_1 @ X51 )
          | ~ ( c3_1 @ X51 ) )
    | ~ ( c3_1 @ a1092 )
    | ~ ( c0_1 @ a1092 ) ),
    inference(split,[status(esa)],[zip_derived_cl2054]) ).

thf(zip_derived_cl324_036,plain,
    ( ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ( c3_1 @ X42 )
        | ~ ( c2_1 @ X42 ) )
   <= ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ( c3_1 @ X42 )
        | ~ ( c2_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl127,plain,
    ( ~ hskp15
    | ~ ( c3_1 @ a1098 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl553,plain,
    ( ~ ( c3_1 @ a1098 )
   <= ~ ( c3_1 @ a1098 ) ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl1528,plain,
    ( ( ~ ( c2_1 @ a1098 )
      | ( c0_1 @ a1098 ) )
   <= ( ~ ( c3_1 @ a1098 )
      & ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ( c3_1 @ X42 )
          | ~ ( c2_1 @ X42 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl324,zip_derived_cl553]) ).

thf('99',plain,
    ( ( c0_1 @ a1098 )
    | ( c3_1 @ a1098 )
    | ~ ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ( c3_1 @ X42 )
          | ~ ( c2_1 @ X42 ) )
    | ~ ( c2_1 @ a1098 ) ),
    inference(split,[status(esa)],[zip_derived_cl1528]) ).

thf(zip_derived_cl125,plain,
    ( ~ hskp15
    | ( c2_1 @ a1098 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('100',plain,
    ( ( c2_1 @ a1098 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl125]) ).

thf(zip_derived_cl126,plain,
    ( ~ hskp15
    | ~ ( c1_1 @ a1098 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('101',plain,
    ( ~ hskp15
    | ~ ( c1_1 @ a1098 ) ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf('102',plain,
    ( ~ hskp15
    | ~ ( c3_1 @ a1098 ) ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl4979,plain,
    ( ( c0_1 @ a1098 )
   <= ( c0_1 @ a1098 ) ),
    inference(split,[status(esa)],[zip_derived_cl1528]) ).

thf(zip_derived_cl254_037,plain,
    ( ! [X17: $i] :
        ( ( c1_1 @ X17 )
        | ~ ( c0_1 @ X17 )
        | ~ ( c2_1 @ X17 ) )
   <= ! [X17: $i] :
        ( ( c1_1 @ X17 )
        | ~ ( c0_1 @ X17 )
        | ~ ( c2_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl4983,plain,
    ( ( ( c1_1 @ a1098 )
      | ~ ( c2_1 @ a1098 ) )
   <= ( ! [X17: $i] :
          ( ( c1_1 @ X17 )
          | ~ ( c0_1 @ X17 )
          | ~ ( c2_1 @ X17 ) )
      & ( c0_1 @ a1098 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4979,zip_derived_cl254]) ).

thf('103',plain,
    ( ( c1_1 @ a1098 )
    | ~ ( c0_1 @ a1098 )
    | ~ ! [X17: $i] :
          ( ( c1_1 @ X17 )
          | ~ ( c0_1 @ X17 )
          | ~ ( c2_1 @ X17 ) )
    | ~ ( c2_1 @ a1098 ) ),
    inference(split,[status(esa)],[zip_derived_cl4983]) ).

thf(zip_derived_cl37,plain,
    ! [X43: $i] :
      ( ( c0_1 @ X43 )
      | ( c3_1 @ X43 )
      | ~ ( c2_1 @ X43 )
      | ~ ndr1_0
      | hskp18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('104',plain,
    ( hskp18
    | ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ( c3_1 @ X42 )
        | ~ ( c2_1 @ X42 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl2,plain,
    ( hskp28
    | hskp6
    | hskp18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('105',plain,
    ( hskp6
    | hskp18
    | hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl27,plain,
    ! [X30: $i] :
      ( ( c1_1 @ X30 )
      | ( c2_1 @ X30 )
      | ( c3_1 @ X30 )
      | ~ ndr1_0
      | hskp6
      | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('106',plain,
    ( hskp6
    | hskp8
    | ~ ndr1_0
    | ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ( c2_1 @ X30 )
        | ( c3_1 @ X30 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl113,plain,
    ( ~ hskp18
    | ( c0_1 @ a1103 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl525,plain,
    ( ( c0_1 @ a1103 )
   <= ( c0_1 @ a1103 ) ),
    inference(split,[status(esa)],[zip_derived_cl113]) ).

thf(zip_derived_cl254_038,plain,
    ( ! [X17: $i] :
        ( ( c1_1 @ X17 )
        | ~ ( c0_1 @ X17 )
        | ~ ( c2_1 @ X17 ) )
   <= ! [X17: $i] :
        ( ( c1_1 @ X17 )
        | ~ ( c0_1 @ X17 )
        | ~ ( c2_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl1813,plain,
    ( ( ( c1_1 @ a1103 )
      | ~ ( c2_1 @ a1103 ) )
   <= ( ! [X17: $i] :
          ( ( c1_1 @ X17 )
          | ~ ( c0_1 @ X17 )
          | ~ ( c2_1 @ X17 ) )
      & ( c0_1 @ a1103 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl525,zip_derived_cl254]) ).

thf('107',plain,
    ( ~ ( c2_1 @ a1103 )
    | ~ ! [X17: $i] :
          ( ( c1_1 @ X17 )
          | ~ ( c0_1 @ X17 )
          | ~ ( c2_1 @ X17 ) )
    | ( c1_1 @ a1103 )
    | ~ ( c0_1 @ a1103 ) ),
    inference(split,[status(esa)],[zip_derived_cl1813]) ).

thf(zip_derived_cl527_039,plain,
    ( ( c3_1 @ a1103 )
   <= ( c3_1 @ a1103 ) ),
    inference(split,[status(esa)],[zip_derived_cl114]) ).

thf(zip_derived_cl227_040,plain,
    ( ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c3_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c3_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl1845,plain,
    ( ( ( c2_1 @ a1103 )
      | ~ ( c0_1 @ a1103 ) )
   <= ( ! [X10: $i] :
          ( ( c2_1 @ X10 )
          | ~ ( c0_1 @ X10 )
          | ~ ( c3_1 @ X10 ) )
      & ( c3_1 @ a1103 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl527,zip_derived_cl227]) ).

thf('108',plain,
    ( ~ ! [X10: $i] :
          ( ( c2_1 @ X10 )
          | ~ ( c0_1 @ X10 )
          | ~ ( c3_1 @ X10 ) )
    | ( c2_1 @ a1103 )
    | ~ ( c3_1 @ a1103 )
    | ~ ( c0_1 @ a1103 ) ),
    inference(split,[status(esa)],[zip_derived_cl1845]) ).

thf(zip_derived_cl153,plain,
    ( ~ hskp8
    | ( c0_1 @ a1088 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('109',plain,
    ( ( c0_1 @ a1088 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl154,plain,
    ( ~ hskp8
    | ( c3_1 @ a1088 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('110',plain,
    ( ( c3_1 @ a1088 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl155,plain,
    ( ~ hskp8
    | ~ ( c2_1 @ a1088 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('111',plain,
    ( ~ ( c2_1 @ a1088 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf(zip_derived_cl607,plain,
    ( ( c3_1 @ a1088 )
   <= ( c3_1 @ a1088 ) ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl227_041,plain,
    ( ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c3_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c3_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl2113,plain,
    ( ( ( c2_1 @ a1088 )
      | ~ ( c0_1 @ a1088 ) )
   <= ( ! [X10: $i] :
          ( ( c2_1 @ X10 )
          | ~ ( c0_1 @ X10 )
          | ~ ( c3_1 @ X10 ) )
      & ( c3_1 @ a1088 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl607,zip_derived_cl227]) ).

thf('112',plain,
    ( ~ ! [X10: $i] :
          ( ( c2_1 @ X10 )
          | ~ ( c0_1 @ X10 )
          | ~ ( c3_1 @ X10 ) )
    | ~ ( c3_1 @ a1088 )
    | ( c2_1 @ a1088 )
    | ~ ( c0_1 @ a1088 ) ),
    inference(split,[status(esa)],[zip_derived_cl2113]) ).

thf(zip_derived_cl281_042,plain,
    ( ! [X28: $i] :
        ( ( c2_1 @ X28 )
        | ( c3_1 @ X28 )
        | ~ ( c1_1 @ X28 ) )
   <= ! [X28: $i] :
        ( ( c2_1 @ X28 )
        | ( c3_1 @ X28 )
        | ~ ( c1_1 @ X28 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl657_043,plain,
    ( ~ ( c3_1 @ a1082 )
   <= ~ ( c3_1 @ a1082 ) ),
    inference(split,[status(esa)],[zip_derived_cl179]) ).

thf(zip_derived_cl1100,plain,
    ( ( ~ ( c1_1 @ a1082 )
      | ( c2_1 @ a1082 ) )
   <= ( ~ ( c3_1 @ a1082 )
      & ! [X28: $i] :
          ( ( c2_1 @ X28 )
          | ( c3_1 @ X28 )
          | ~ ( c1_1 @ X28 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl281,zip_derived_cl657]) ).

thf('113',plain,
    ( ~ ( c1_1 @ a1082 )
    | ( c2_1 @ a1082 )
    | ~ ! [X28: $i] :
          ( ( c2_1 @ X28 )
          | ( c3_1 @ X28 )
          | ~ ( c1_1 @ X28 ) )
    | ( c3_1 @ a1082 ) ),
    inference(split,[status(esa)],[zip_derived_cl1100]) ).

thf(zip_derived_cl178,plain,
    ( ~ hskp2
    | ~ ( c2_1 @ a1082 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('114',plain,
    ( ~ ( c2_1 @ a1082 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf('115',plain,
    ( ~ ( c3_1 @ a1082 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl179]) ).

thf(zip_derived_cl289,plain,
    ( ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ( c2_1 @ X30 )
        | ( c3_1 @ X30 ) )
   <= ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ( c2_1 @ X30 )
        | ( c3_1 @ X30 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl657_044,plain,
    ( ~ ( c3_1 @ a1082 )
   <= ~ ( c3_1 @ a1082 ) ),
    inference(split,[status(esa)],[zip_derived_cl179]) ).

thf(zip_derived_cl1173,plain,
    ( ( ( c2_1 @ a1082 )
      | ( c1_1 @ a1082 ) )
   <= ( ~ ( c3_1 @ a1082 )
      & ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ( c2_1 @ X30 )
          | ( c3_1 @ X30 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl289,zip_derived_cl657]) ).

thf('116',plain,
    ( ~ ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ( c2_1 @ X30 )
          | ( c3_1 @ X30 ) )
    | ( c1_1 @ a1082 )
    | ( c2_1 @ a1082 )
    | ( c3_1 @ a1082 ) ),
    inference(split,[status(esa)],[zip_derived_cl1173]) ).

thf('117',plain,
    ( ( c0_1 @ a1103 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl113]) ).

thf('118',plain,
    ( ( c3_1 @ a1103 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl114]) ).

thf(zip_derived_cl115,plain,
    ( ~ hskp18
    | ~ ( c1_1 @ a1103 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('119',plain,
    ( ~ ( c1_1 @ a1103 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl115]) ).

thf(zip_derived_cl527_045,plain,
    ( ( c3_1 @ a1103 )
   <= ( c3_1 @ a1103 ) ),
    inference(split,[status(esa)],[zip_derived_cl114]) ).

thf(zip_derived_cl347_046,plain,
    ( ! [X51: $i] :
        ( ( c1_1 @ X51 )
        | ~ ( c0_1 @ X51 )
        | ~ ( c3_1 @ X51 ) )
   <= ! [X51: $i] :
        ( ( c1_1 @ X51 )
        | ~ ( c0_1 @ X51 )
        | ~ ( c3_1 @ X51 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl2051,plain,
    ( ( ( c1_1 @ a1103 )
      | ~ ( c0_1 @ a1103 ) )
   <= ( ! [X51: $i] :
          ( ( c1_1 @ X51 )
          | ~ ( c0_1 @ X51 )
          | ~ ( c3_1 @ X51 ) )
      & ( c3_1 @ a1103 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl527,zip_derived_cl347]) ).

thf('120',plain,
    ( ~ ! [X51: $i] :
          ( ( c1_1 @ X51 )
          | ~ ( c0_1 @ X51 )
          | ~ ( c3_1 @ X51 ) )
    | ~ ( c3_1 @ a1103 )
    | ( c1_1 @ a1103 )
    | ~ ( c0_1 @ a1103 ) ),
    inference(split,[status(esa)],[zip_derived_cl2051]) ).

thf('121',plain,
    ( hskp5
    | ! [X51: $i] :
        ( ( c1_1 @ X51 )
        | ~ ( c0_1 @ X51 )
        | ~ ( c3_1 @ X51 ) )
    | ~ ndr1_0
    | ! [X48: $i] :
        ( ( c0_1 @ X48 )
        | ( c2_1 @ X48 )
        | ~ ( c1_1 @ X48 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl185,plain,
    ( ~ hskp0
    | ( c1_1 @ a1080 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('122',plain,
    ( ( c1_1 @ a1080 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl185]) ).

thf(zip_derived_cl186,plain,
    ( ~ hskp0
    | ~ ( c0_1 @ a1080 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('123',plain,
    ( ~ ( c0_1 @ a1080 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl186]) ).

thf(zip_derived_cl187,plain,
    ( ~ hskp0
    | ~ ( c2_1 @ a1080 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('124',plain,
    ( ~ ( c2_1 @ a1080 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl187]) ).

thf(zip_derived_cl339_047,plain,
    ( ! [X48: $i] :
        ( ( c0_1 @ X48 )
        | ( c2_1 @ X48 )
        | ~ ( c1_1 @ X48 ) )
   <= ! [X48: $i] :
        ( ( c0_1 @ X48 )
        | ( c2_1 @ X48 )
        | ~ ( c1_1 @ X48 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl671,plain,
    ( ~ ( c0_1 @ a1080 )
   <= ~ ( c0_1 @ a1080 ) ),
    inference(split,[status(esa)],[zip_derived_cl186]) ).

thf(zip_derived_cl1867,plain,
    ( ( ~ ( c1_1 @ a1080 )
      | ( c2_1 @ a1080 ) )
   <= ( ~ ( c0_1 @ a1080 )
      & ! [X48: $i] :
          ( ( c0_1 @ X48 )
          | ( c2_1 @ X48 )
          | ~ ( c1_1 @ X48 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl339,zip_derived_cl671]) ).

thf('125',plain,
    ( ( c0_1 @ a1080 )
    | ( c2_1 @ a1080 )
    | ~ ! [X48: $i] :
          ( ( c0_1 @ X48 )
          | ( c2_1 @ X48 )
          | ~ ( c1_1 @ X48 ) )
    | ~ ( c1_1 @ a1080 ) ),
    inference(split,[status(esa)],[zip_derived_cl1867]) ).

thf(zip_derived_cl95,plain,
    ( ~ hskp23
    | ~ ( c3_1 @ a1122 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl489,plain,
    ( ~ ( c3_1 @ a1122 )
   <= ~ ( c3_1 @ a1122 ) ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl9,plain,
    ! [X6: $i,X7: $i] :
      ( ( c3_1 @ X6 )
      | ~ ( c0_1 @ X6 )
      | ~ ( c1_1 @ X6 )
      | ~ ndr1_0
      | ( c3_1 @ X7 )
      | ~ ( c0_1 @ X7 )
      | ~ ( c2_1 @ X7 )
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl220,plain,
    ( ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c1_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c1_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl808,plain,
    ( ( ~ ( c0_1 @ a1122 )
      | ~ ( c1_1 @ a1122 ) )
   <= ( ~ ( c3_1 @ a1122 )
      & ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c1_1 @ X6 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl489,zip_derived_cl220]) ).

thf('126',plain,
    ( ~ ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c1_1 @ X6 ) )
    | ~ ( c0_1 @ a1122 )
    | ( c3_1 @ a1122 )
    | ~ ( c1_1 @ a1122 ) ),
    inference(split,[status(esa)],[zip_derived_cl808]) ).

thf(zip_derived_cl489_048,plain,
    ( ~ ( c3_1 @ a1122 )
   <= ~ ( c3_1 @ a1122 ) ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl216,plain,
    ( ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl806,plain,
    ( ( ~ ( c0_1 @ a1122 )
      | ~ ( c2_1 @ a1122 ) )
   <= ( ~ ( c3_1 @ a1122 )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c2_1 @ X4 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl489,zip_derived_cl216]) ).

thf('127',plain,
    ( ~ ( c2_1 @ a1122 )
    | ( c3_1 @ a1122 )
    | ~ ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
    | ~ ( c0_1 @ a1122 ) ),
    inference(split,[status(esa)],[zip_derived_cl806]) ).

thf(zip_derived_cl93,plain,
    ( ~ hskp23
    | ( c0_1 @ a1122 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl485,plain,
    ( ( c0_1 @ a1122 )
   <= ( c0_1 @ a1122 ) ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf(zip_derived_cl254_049,plain,
    ( ! [X17: $i] :
        ( ( c1_1 @ X17 )
        | ~ ( c0_1 @ X17 )
        | ~ ( c2_1 @ X17 ) )
   <= ! [X17: $i] :
        ( ( c1_1 @ X17 )
        | ~ ( c0_1 @ X17 )
        | ~ ( c2_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl1656,plain,
    ( ( ( c1_1 @ a1122 )
      | ~ ( c2_1 @ a1122 ) )
   <= ( ! [X17: $i] :
          ( ( c1_1 @ X17 )
          | ~ ( c0_1 @ X17 )
          | ~ ( c2_1 @ X17 ) )
      & ( c0_1 @ a1122 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl485,zip_derived_cl254]) ).

thf('128',plain,
    ( ( c1_1 @ a1122 )
    | ~ ( c2_1 @ a1122 )
    | ~ ! [X17: $i] :
          ( ( c1_1 @ X17 )
          | ~ ( c0_1 @ X17 )
          | ~ ( c2_1 @ X17 ) )
    | ~ ( c0_1 @ a1122 ) ),
    inference(split,[status(esa)],[zip_derived_cl1656]) ).

thf('129',plain,
    ( ( c0_1 @ a1122 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf(zip_derived_cl94,plain,
    ( ~ hskp23
    | ( c2_1 @ a1122 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('130',plain,
    ( ( c2_1 @ a1122 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf('131',plain,
    ( ~ ( c3_1 @ a1122 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf('132',plain,
    ( hskp5
    | ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 ) )
    | ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c1_1 @ X6 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl599_050,plain,
    ( ( c3_1 @ a1089 )
   <= ( c3_1 @ a1089 ) ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf(zip_derived_cl207_051,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl2070,plain,
    ( ( ~ ( c0_1 @ a1089 )
      | ~ ( c1_1 @ a1089 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ( c3_1 @ a1089 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl599,zip_derived_cl207]) ).

thf(zip_derived_cl2991,plain,
    ( ~ ( c0_1 @ a1089 )
   <= ~ ( c0_1 @ a1089 ) ),
    inference(split,[status(esa)],[zip_derived_cl2070]) ).

thf(zip_derived_cl367,plain,
    ( ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c1_1 @ X58 )
        | ~ ( c2_1 @ X58 ) )
   <= ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c1_1 @ X58 )
        | ~ ( c2_1 @ X58 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(zip_derived_cl2995,plain,
    ( ( ( c1_1 @ a1089 )
      | ~ ( c2_1 @ a1089 ) )
   <= ( ~ ( c0_1 @ a1089 )
      & ! [X58: $i] :
          ( ( c0_1 @ X58 )
          | ( c1_1 @ X58 )
          | ~ ( c2_1 @ X58 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2991,zip_derived_cl367]) ).

thf('133',plain,
    ( ~ ! [X58: $i] :
          ( ( c0_1 @ X58 )
          | ( c1_1 @ X58 )
          | ~ ( c2_1 @ X58 ) )
    | ( c0_1 @ a1089 )
    | ( c1_1 @ a1089 )
    | ~ ( c2_1 @ a1089 ) ),
    inference(split,[status(esa)],[zip_derived_cl2995]) ).

thf(zip_derived_cl599_052,plain,
    ( ( c3_1 @ a1089 )
   <= ( c3_1 @ a1089 ) ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf(zip_derived_cl30,plain,
    ! [X35: $i] :
      ( ( c0_1 @ X35 )
      | ~ ( c2_1 @ X35 )
      | ~ ( c3_1 @ X35 )
      | ~ ndr1_0
      | hskp20
      | hskp3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl301,plain,
    ( ! [X35: $i] :
        ( ( c0_1 @ X35 )
        | ~ ( c2_1 @ X35 )
        | ~ ( c3_1 @ X35 ) )
   <= ! [X35: $i] :
        ( ( c0_1 @ X35 )
        | ~ ( c2_1 @ X35 )
        | ~ ( c3_1 @ X35 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl2076,plain,
    ( ( ( c0_1 @ a1089 )
      | ~ ( c2_1 @ a1089 ) )
   <= ( ! [X35: $i] :
          ( ( c0_1 @ X35 )
          | ~ ( c2_1 @ X35 )
          | ~ ( c3_1 @ X35 ) )
      & ( c3_1 @ a1089 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl599,zip_derived_cl301]) ).

thf(zip_derived_cl6198,plain,
    ( ( c0_1 @ a1089 )
   <= ( c0_1 @ a1089 ) ),
    inference(split,[status(esa)],[zip_derived_cl2076]) ).

thf(zip_derived_cl254_053,plain,
    ( ! [X17: $i] :
        ( ( c1_1 @ X17 )
        | ~ ( c0_1 @ X17 )
        | ~ ( c2_1 @ X17 ) )
   <= ! [X17: $i] :
        ( ( c1_1 @ X17 )
        | ~ ( c0_1 @ X17 )
        | ~ ( c2_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl6202,plain,
    ( ( ( c1_1 @ a1089 )
      | ~ ( c2_1 @ a1089 ) )
   <= ( ! [X17: $i] :
          ( ( c1_1 @ X17 )
          | ~ ( c0_1 @ X17 )
          | ~ ( c2_1 @ X17 ) )
      & ( c0_1 @ a1089 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6198,zip_derived_cl254]) ).

thf('134',plain,
    ( ~ ( c0_1 @ a1089 )
    | ~ ! [X17: $i] :
          ( ( c1_1 @ X17 )
          | ~ ( c0_1 @ X17 )
          | ~ ( c2_1 @ X17 ) )
    | ( c1_1 @ a1089 )
    | ~ ( c2_1 @ a1089 ) ),
    inference(split,[status(esa)],[zip_derived_cl6202]) ).

thf(zip_derived_cl165,plain,
    ( ~ hskp5
    | ( c2_1 @ a1085 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('135',plain,
    ( ( c2_1 @ a1085 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl166,plain,
    ( ~ hskp5
    | ~ ( c0_1 @ a1085 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('136',plain,
    ( ~ ( c0_1 @ a1085 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl166]) ).

thf(zip_derived_cl167,plain,
    ( ~ hskp5
    | ~ ( c1_1 @ a1085 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('137',plain,
    ( ~ ( c1_1 @ a1085 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl167]) ).

thf(zip_derived_cl367_054,plain,
    ( ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c1_1 @ X58 )
        | ~ ( c2_1 @ X58 ) )
   <= ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c1_1 @ X58 )
        | ~ ( c2_1 @ X58 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(zip_derived_cl631,plain,
    ( ~ ( c0_1 @ a1085 )
   <= ~ ( c0_1 @ a1085 ) ),
    inference(split,[status(esa)],[zip_derived_cl166]) ).

thf(zip_derived_cl2359,plain,
    ( ( ~ ( c2_1 @ a1085 )
      | ( c1_1 @ a1085 ) )
   <= ( ~ ( c0_1 @ a1085 )
      & ! [X58: $i] :
          ( ( c0_1 @ X58 )
          | ( c1_1 @ X58 )
          | ~ ( c2_1 @ X58 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl367,zip_derived_cl631]) ).

thf('138',plain,
    ( ~ ! [X58: $i] :
          ( ( c0_1 @ X58 )
          | ( c1_1 @ X58 )
          | ~ ( c2_1 @ X58 ) )
    | ( c0_1 @ a1085 )
    | ( c1_1 @ a1085 )
    | ~ ( c2_1 @ a1085 ) ),
    inference(split,[status(esa)],[zip_derived_cl2359]) ).

thf(zip_derived_cl661,plain,
    ( ( c3_1 @ a1081 )
   <= ( c3_1 @ a1081 ) ),
    inference(split,[status(esa)],[zip_derived_cl181]) ).

thf(zip_derived_cl355_055,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_cl44]) ).

thf(zip_derived_cl2262,plain,
    ( ( ( c0_1 @ a1081 )
      | ( c1_1 @ a1081 ) )
   <= ( ! [X53: $i] :
          ( ( c0_1 @ X53 )
          | ( c1_1 @ X53 )
          | ~ ( c3_1 @ X53 ) )
      & ( c3_1 @ a1081 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl661,zip_derived_cl355]) ).

thf('139',plain,
    ( ~ ! [X53: $i] :
          ( ( c0_1 @ X53 )
          | ( c1_1 @ X53 )
          | ~ ( c3_1 @ X53 ) )
    | ~ ( c3_1 @ a1081 )
    | ( c0_1 @ a1081 )
    | ( c1_1 @ a1081 ) ),
    inference(split,[status(esa)],[zip_derived_cl2262]) ).

thf(zip_derived_cl161,plain,
    ( ~ hskp6
    | ( c0_1 @ a1086 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('140',plain,
    ( ( c0_1 @ a1086 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl162,plain,
    ( ~ hskp6
    | ( c2_1 @ a1086 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('141',plain,
    ( ( c2_1 @ a1086 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf(zip_derived_cl163,plain,
    ( ~ hskp6
    | ~ ( c1_1 @ a1086 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('142',plain,
    ( ~ ( c1_1 @ a1086 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl621,plain,
    ( ( c0_1 @ a1086 )
   <= ( c0_1 @ a1086 ) ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl254_056,plain,
    ( ! [X17: $i] :
        ( ( c1_1 @ X17 )
        | ~ ( c0_1 @ X17 )
        | ~ ( c2_1 @ X17 ) )
   <= ! [X17: $i] :
        ( ( c1_1 @ X17 )
        | ~ ( c0_1 @ X17 )
        | ~ ( c2_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl2123,plain,
    ( ( ( c1_1 @ a1086 )
      | ~ ( c2_1 @ a1086 ) )
   <= ( ! [X17: $i] :
          ( ( c1_1 @ X17 )
          | ~ ( c0_1 @ X17 )
          | ~ ( c2_1 @ X17 ) )
      & ( c0_1 @ a1086 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl621,zip_derived_cl254]) ).

thf('143',plain,
    ( ~ ! [X17: $i] :
          ( ( c1_1 @ X17 )
          | ~ ( c0_1 @ X17 )
          | ~ ( c2_1 @ X17 ) )
    | ~ ( c2_1 @ a1086 )
    | ( c1_1 @ a1086 )
    | ~ ( c0_1 @ a1086 ) ),
    inference(split,[status(esa)],[zip_derived_cl2123]) ).

thf(zip_derived_cl351_057,plain,
    ( ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ( c2_1 @ X52 )
        | ( c3_1 @ X52 ) )
   <= ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ( c2_1 @ X52 )
        | ( c3_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl593_058,plain,
    ( ~ ( c3_1 @ a1090 )
   <= ~ ( c3_1 @ a1090 ) ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl2196,plain,
    ( ( ( c2_1 @ a1090 )
      | ( c0_1 @ a1090 ) )
   <= ( ~ ( c3_1 @ a1090 )
      & ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ( c2_1 @ X52 )
          | ( c3_1 @ X52 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl351,zip_derived_cl593]) ).

thf('144',plain,
    ( ~ ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ( c2_1 @ X52 )
          | ( c3_1 @ X52 ) )
    | ( c2_1 @ a1090 )
    | ( c3_1 @ a1090 )
    | ( c0_1 @ a1090 ) ),
    inference(split,[status(esa)],[zip_derived_cl2196]) ).

thf(zip_derived_cl19,plain,
    ! [X18: $i] :
      ( ( c1_1 @ X18 )
      | ~ ( c0_1 @ X18 )
      | ~ ( c2_1 @ X18 )
      | ~ ndr1_0
      | hskp14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('145',plain,
    ( hskp14
    | ! [X17: $i] :
        ( ( c1_1 @ X17 )
        | ~ ( c0_1 @ X17 )
        | ~ ( c2_1 @ X17 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl131,plain,
    ( ~ hskp14
    | ~ ( c2_1 @ a1097 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('146',plain,
    ( ~ ( c2_1 @ a1097 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf(zip_derived_cl599_059,plain,
    ( ( c3_1 @ a1089 )
   <= ( c3_1 @ a1089 ) ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf(zip_derived_cl223_060,plain,
    ( ! [X9: $i] :
        ( ~ ( c0_1 @ X9 )
        | ~ ( c2_1 @ X9 )
        | ~ ( c3_1 @ X9 ) )
   <= ! [X9: $i] :
        ( ~ ( c0_1 @ X9 )
        | ~ ( c2_1 @ X9 )
        | ~ ( c3_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl2072,plain,
    ( ( ~ ( c0_1 @ a1089 )
      | ~ ( c2_1 @ a1089 ) )
   <= ( ! [X9: $i] :
          ( ~ ( c0_1 @ X9 )
          | ~ ( c2_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
      & ( c3_1 @ a1089 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl599,zip_derived_cl223]) ).

thf('147',plain,
    ( ~ ( c0_1 @ a1089 )
    | ~ ! [X9: $i] :
          ( ~ ( c0_1 @ X9 )
          | ~ ( c2_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
    | ~ ( c2_1 @ a1089 )
    | ~ ( c3_1 @ a1089 ) ),
    inference(split,[status(esa)],[zip_derived_cl2072]) ).

thf('148',plain,
    ( ( c0_1 @ a1092 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl73]) ).

thf('149',plain,
    ( ( c3_1 @ a1092 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl75]) ).

thf(zip_derived_cl449_061,plain,
    ( ( c3_1 @ a1092 )
   <= ( c3_1 @ a1092 ) ),
    inference(split,[status(esa)],[zip_derived_cl75]) ).

thf(zip_derived_cl223_062,plain,
    ( ! [X9: $i] :
        ( ~ ( c0_1 @ X9 )
        | ~ ( c2_1 @ X9 )
        | ~ ( c3_1 @ X9 ) )
   <= ! [X9: $i] :
        ( ~ ( c0_1 @ X9 )
        | ~ ( c2_1 @ X9 )
        | ~ ( c3_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl1599,plain,
    ( ( ~ ( c0_1 @ a1092 )
      | ~ ( c2_1 @ a1092 ) )
   <= ( ! [X9: $i] :
          ( ~ ( c0_1 @ X9 )
          | ~ ( c2_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
      & ( c3_1 @ a1092 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl449,zip_derived_cl223]) ).

thf('150',plain,
    ( ~ ! [X9: $i] :
          ( ~ ( c0_1 @ X9 )
          | ~ ( c2_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
    | ~ ( c0_1 @ a1092 )
    | ~ ( c3_1 @ a1092 )
    | ~ ( c2_1 @ a1092 ) ),
    inference(split,[status(esa)],[zip_derived_cl1599]) ).

thf('151',plain,
    ( ~ ! [X35: $i] :
          ( ( c0_1 @ X35 )
          | ~ ( c2_1 @ X35 )
          | ~ ( c3_1 @ X35 ) )
    | ( c0_1 @ a1089 )
    | ~ ( c2_1 @ a1089 )
    | ~ ( c3_1 @ a1089 ) ),
    inference(split,[status(esa)],[zip_derived_cl2076]) ).

thf(zip_derived_cl81,plain,
    ( ~ hskp26
    | ( c2_1 @ a1146 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('152',plain,
    ( ( c2_1 @ a1146 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf(zip_derived_cl82,plain,
    ( ~ hskp26
    | ( c3_1 @ a1146 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('153',plain,
    ( ( c3_1 @ a1146 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl83,plain,
    ( ~ hskp26
    | ~ ( c0_1 @ a1146 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('154',plain,
    ( ~ ( c0_1 @ a1146 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl463,plain,
    ( ( c3_1 @ a1146 )
   <= ( c3_1 @ a1146 ) ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl301_063,plain,
    ( ! [X35: $i] :
        ( ( c0_1 @ X35 )
        | ~ ( c2_1 @ X35 )
        | ~ ( c3_1 @ X35 ) )
   <= ! [X35: $i] :
        ( ( c0_1 @ X35 )
        | ~ ( c2_1 @ X35 )
        | ~ ( c3_1 @ X35 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl1644,plain,
    ( ( ( c0_1 @ a1146 )
      | ~ ( c2_1 @ a1146 ) )
   <= ( ! [X35: $i] :
          ( ( c0_1 @ X35 )
          | ~ ( c2_1 @ X35 )
          | ~ ( c3_1 @ X35 ) )
      & ( c3_1 @ a1146 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl463,zip_derived_cl301]) ).

thf('155',plain,
    ( ~ ! [X35: $i] :
          ( ( c0_1 @ X35 )
          | ~ ( c2_1 @ X35 )
          | ~ ( c3_1 @ X35 ) )
    | ~ ( c3_1 @ a1146 )
    | ( c0_1 @ a1146 )
    | ~ ( c2_1 @ a1146 ) ),
    inference(split,[status(esa)],[zip_derived_cl1644]) ).

thf('156',plain,
    ( hskp26
    | ! [X9: $i] :
        ( ~ ( c0_1 @ X9 )
        | ~ ( c2_1 @ X9 )
        | ~ ( c3_1 @ X9 ) )
    | ~ ndr1_0
    | ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c1_1 @ X8 )
        | ~ ( c3_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl31,plain,
    ! [X36: $i] :
      ( ( c0_1 @ X36 )
      | ~ ( c2_1 @ X36 )
      | ~ ( c3_1 @ X36 )
      | ~ ndr1_0
      | hskp19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('157',plain,
    ( hskp19
    | ! [X35: $i] :
        ( ( c0_1 @ X35 )
        | ~ ( c2_1 @ X35 )
        | ~ ( c3_1 @ X35 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl31]) ).

thf('158',plain,
    ( ( c0_1 @ a1113 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf(zip_derived_cl110,plain,
    ( ~ hskp19
    | ( c1_1 @ a1113 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('159',plain,
    ( ( c1_1 @ a1113 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl110]) ).

thf('160',plain,
    ( ~ ( c2_1 @ a1113 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl517_064,plain,
    ( ( c0_1 @ a1113 )
   <= ( c0_1 @ a1113 ) ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf(zip_derived_cl12,plain,
    ! [X11: $i] :
      ( ( c2_1 @ X11 )
      | ~ ( c0_1 @ X11 )
      | ~ ( c1_1 @ X11 )
      | ~ ndr1_0
      | hskp4
      | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl231,plain,
    ( ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c1_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c1_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl1778,plain,
    ( ( ( c2_1 @ a1113 )
      | ~ ( c1_1 @ a1113 ) )
   <= ( ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c0_1 @ X11 )
          | ~ ( c1_1 @ X11 ) )
      & ( c0_1 @ a1113 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl517,zip_derived_cl231]) ).

thf('161',plain,
    ( ~ ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c0_1 @ X11 )
          | ~ ( c1_1 @ X11 ) )
    | ~ ( c1_1 @ a1113 )
    | ( c2_1 @ a1113 )
    | ~ ( c0_1 @ a1113 ) ),
    inference(split,[status(esa)],[zip_derived_cl1778]) ).

thf(zip_derived_cl49,plain,
    ! [X60: $i,X61: $i,X62: $i] :
      ( ( c0_1 @ X60 )
      | ( c1_1 @ X60 )
      | ~ ( c2_1 @ X60 )
      | ~ ndr1_0
      | ( c2_1 @ X61 )
      | ( c3_1 @ X61 )
      | ~ ( c0_1 @ X61 )
      | ~ ndr1_0
      | ( c2_1 @ X62 )
      | ~ ( c0_1 @ X62 )
      | ~ ( c1_1 @ X62 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('162',plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c0_1 @ X13 ) )
    | ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c1_1 @ X11 ) )
    | ~ ndr1_0
    | ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c1_1 @ X58 )
        | ~ ( c2_1 @ X58 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl336_065,plain,
    ( ! [X46: $i] :
        ( ( c0_1 @ X46 )
        | ( c3_1 @ X46 )
        | ~ ( c1_1 @ X46 ) )
   <= ! [X46: $i] :
        ( ( c0_1 @ X46 )
        | ( c3_1 @ X46 )
        | ~ ( c1_1 @ X46 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl505_066,plain,
    ( ~ ( c3_1 @ a1120 )
   <= ~ ( c3_1 @ a1120 ) ),
    inference(split,[status(esa)],[zip_derived_cl103]) ).

thf(zip_derived_cl1756,plain,
    ( ( ~ ( c1_1 @ a1120 )
      | ( c0_1 @ a1120 ) )
   <= ( ~ ( c3_1 @ a1120 )
      & ! [X46: $i] :
          ( ( c0_1 @ X46 )
          | ( c3_1 @ X46 )
          | ~ ( c1_1 @ X46 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl336,zip_derived_cl505]) ).

thf('163',plain,
    ( ~ ! [X46: $i] :
          ( ( c0_1 @ X46 )
          | ( c3_1 @ X46 )
          | ~ ( c1_1 @ X46 ) )
    | ( c0_1 @ a1120 )
    | ( c3_1 @ a1120 )
    | ~ ( c1_1 @ a1120 ) ),
    inference(split,[status(esa)],[zip_derived_cl1756]) ).

thf(zip_derived_cl59,plain,
    ! [X84: $i,X85: $i,X86: $i] :
      ( ( c0_1 @ X84 )
      | ( c1_1 @ X84 )
      | ( c2_1 @ X84 )
      | ~ ndr1_0
      | ( c0_1 @ X85 )
      | ( c2_1 @ X85 )
      | ( c3_1 @ X85 )
      | ~ ndr1_0
      | ( c1_1 @ X86 )
      | ~ ( c2_1 @ X86 )
      | ~ ( c3_1 @ X86 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('164',plain,
    ( ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c1_1 @ X75 )
        | ( c2_1 @ X75 ) )
    | ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ( c2_1 @ X52 )
        | ( c3_1 @ X52 ) )
    | ~ ndr1_0
    | ! [X14: $i] :
        ( ( c1_1 @ X14 )
        | ~ ( c2_1 @ X14 )
        | ~ ( c3_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl505_067,plain,
    ( ~ ( c3_1 @ a1120 )
   <= ~ ( c3_1 @ a1120 ) ),
    inference(split,[status(esa)],[zip_derived_cl103]) ).

thf(zip_derived_cl215,plain,
    ( ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl825,plain,
    ( ( ~ ( c1_1 @ a1120 )
      | ~ ( c2_1 @ a1120 ) )
   <= ( ~ ( c3_1 @ a1120 )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl505,zip_derived_cl215]) ).

thf('165',plain,
    ( ~ ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
    | ~ ( c2_1 @ a1120 )
    | ( c3_1 @ a1120 )
    | ~ ( c1_1 @ a1120 ) ),
    inference(split,[status(esa)],[zip_derived_cl825]) ).

thf(zip_derived_cl101,plain,
    ( ~ hskp21
    | ( c1_1 @ a1120 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('166',plain,
    ( ( c1_1 @ a1120 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf(zip_derived_cl102,plain,
    ( ~ hskp21
    | ( c2_1 @ a1120 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('167',plain,
    ( ( c2_1 @ a1120 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl102]) ).

thf('168',plain,
    ( ~ ( c3_1 @ a1120 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl103]) ).

thf(zip_derived_cl17,plain,
    ! [X16: $i] :
      ( ( c1_1 @ X16 )
      | ~ ( c2_1 @ X16 )
      | ~ ( c3_1 @ X16 )
      | ~ ndr1_0
      | hskp21 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('169',plain,
    ( hskp21
    | ! [X14: $i] :
        ( ( c1_1 @ X14 )
        | ~ ( c2_1 @ X14 )
        | ~ ( c3_1 @ X14 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl164,plain,
    ( ~ hskp5
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('170',plain,
    ( ndr1_0
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl164]) ).

thf(zip_derived_cl184,plain,
    ( ~ hskp0
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('171',plain,
    ( ndr1_0
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl184]) ).

thf(zip_derived_cl0,plain,
    ( hskp0
    | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('172',plain,
    ( hskp5
    | hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf(zip_derived_cl641_068,plain,
    ( ~ ( c3_1 @ a1084 )
   <= ~ ( c3_1 @ a1084 ) ),
    inference(split,[status(esa)],[zip_derived_cl171]) ).

thf(zip_derived_cl216_069,plain,
    ( ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl916,plain,
    ( ( ~ ( c0_1 @ a1084 )
      | ~ ( c2_1 @ a1084 ) )
   <= ( ~ ( c3_1 @ a1084 )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c2_1 @ X4 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl641,zip_derived_cl216]) ).

thf('173',plain,
    ( ~ ( c0_1 @ a1084 )
    | ( c3_1 @ a1084 )
    | ~ ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
    | ~ ( c2_1 @ a1084 ) ),
    inference(split,[status(esa)],[zip_derived_cl916]) ).

thf(zip_derived_cl149,plain,
    ( ~ hskp9
    | ( c2_1 @ a1089 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('174',plain,
    ( ( c2_1 @ a1089 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf('175',plain,
    ( ( c3_1 @ a1089 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf(zip_derived_cl151,plain,
    ( ~ hskp9
    | ~ ( c1_1 @ a1089 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('176',plain,
    ( ~ ( c1_1 @ a1089 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl599_070,plain,
    ( ( c3_1 @ a1089 )
   <= ( c3_1 @ a1089 ) ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf(zip_derived_cl243,plain,
    ( ! [X14: $i] :
        ( ( c1_1 @ X14 )
        | ~ ( c2_1 @ X14 )
        | ~ ( c3_1 @ X14 ) )
   <= ! [X14: $i] :
        ( ( c1_1 @ X14 )
        | ~ ( c2_1 @ X14 )
        | ~ ( c3_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl2074,plain,
    ( ( ( c1_1 @ a1089 )
      | ~ ( c2_1 @ a1089 ) )
   <= ( ! [X14: $i] :
          ( ( c1_1 @ X14 )
          | ~ ( c2_1 @ X14 )
          | ~ ( c3_1 @ X14 ) )
      & ( c3_1 @ a1089 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl599,zip_derived_cl243]) ).

thf('177',plain,
    ( ~ ( c3_1 @ a1089 )
    | ( c1_1 @ a1089 )
    | ~ ! [X14: $i] :
          ( ( c1_1 @ X14 )
          | ~ ( c2_1 @ X14 )
          | ~ ( c3_1 @ X14 ) )
    | ~ ( c2_1 @ a1089 ) ),
    inference(split,[status(esa)],[zip_derived_cl2074]) ).

thf('178',plain,
    ( hskp28
    | hskp9
    | ~ ndr1_0
    | ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c3_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl74,plain,
    ( ~ hskp28
    | ( c2_1 @ a1092 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('179',plain,
    ( ( c2_1 @ a1092 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl74]) ).

thf(zip_derived_cl449_071,plain,
    ( ( c3_1 @ a1092 )
   <= ( c3_1 @ a1092 ) ),
    inference(split,[status(esa)],[zip_derived_cl75]) ).

thf(zip_derived_cl243_072,plain,
    ( ! [X14: $i] :
        ( ( c1_1 @ X14 )
        | ~ ( c2_1 @ X14 )
        | ~ ( c3_1 @ X14 ) )
   <= ! [X14: $i] :
        ( ( c1_1 @ X14 )
        | ~ ( c2_1 @ X14 )
        | ~ ( c3_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl1601,plain,
    ( ( ( c1_1 @ a1092 )
      | ~ ( c2_1 @ a1092 ) )
   <= ( ! [X14: $i] :
          ( ( c1_1 @ X14 )
          | ~ ( c2_1 @ X14 )
          | ~ ( c3_1 @ X14 ) )
      & ( c3_1 @ a1092 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl449,zip_derived_cl243]) ).

thf('180',plain,
    ( ( c1_1 @ a1092 )
    | ~ ( c2_1 @ a1092 )
    | ~ ! [X14: $i] :
          ( ( c1_1 @ X14 )
          | ~ ( c2_1 @ X14 )
          | ~ ( c3_1 @ X14 ) )
    | ~ ( c3_1 @ a1092 ) ),
    inference(split,[status(esa)],[zip_derived_cl1601]) ).

thf(zip_derived_cl445_073,plain,
    ( ( c0_1 @ a1092 )
   <= ( c0_1 @ a1092 ) ),
    inference(split,[status(esa)],[zip_derived_cl73]) ).

thf(zip_derived_cl211_074,plain,
    ( ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl1564,plain,
    ( ( ~ ( c1_1 @ a1092 )
      | ~ ( c2_1 @ a1092 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ( c0_1 @ a1092 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl445,zip_derived_cl211]) ).

thf('181',plain,
    ( ~ ( c1_1 @ a1092 )
    | ~ ( c0_1 @ a1092 )
    | ~ ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
    | ~ ( c2_1 @ a1092 ) ),
    inference(split,[status(esa)],[zip_derived_cl1564]) ).

thf(zip_derived_cl7867,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']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SYN458+1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.YzOvshf2Xf true
% 0.14/0.35  % Computer : n021.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Sat Aug 26 17:21:12 EDT 2023
% 0.20/0.35  % CPUTime  : 
% 0.20/0.35  % Running portfolio for 300 s
% 0.20/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.35  % Number of cores: 8
% 0.20/0.35  % Python version: Python 3.6.8
% 0.20/0.35  % Running in FO mode
% 0.21/0.63  % Total configuration time : 435
% 0.21/0.63  % Estimated wc time : 1092
% 0.21/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/fo/fo6_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
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.07/0.78  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 6.89/1.58  % Solved by fo/fo1_av.sh.
% 6.89/1.58  % done 2310 iterations in 0.774s
% 6.89/1.58  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 6.89/1.58  % SZS output start Refutation
% See solution above
% 6.89/1.59  
% 6.89/1.59  
% 6.89/1.59  % Terminating...
% 7.09/1.65  % Runner terminated.
% 7.09/1.66  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------