TSTP Solution File: SYN461+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN461+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.xfpj3ayeQM true

% Computer : n014.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 04:03:44 EDT 2023

% Result   : Theorem 7.97s 1.77s
% Output   : Refutation 7.97s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   64
% Syntax   : Number of formulae    :  625 (   1 unt;  63 typ;   0 def)
%            Number of atoms       : 3721 (   0 equ;   0 cnn)
%            Maximal formula atoms :  607 (   6 avg)
%            Number of connectives : 7810 (1809   ~;2311   |; 427   &;2842   @)
%                                         (   0 <=>; 190  =>; 231  <=;   0 <~>)
%            Maximal formula depth :   92 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   64 (  63 usr;  60 con; 0-1 aty)
%            Number of variables   :  634 (   0   ^; 634   !;   0   ?; 634   :)

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

thf(a1174_type,type,
    a1174: $i ).

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

thf(a1186_type,type,
    a1186: $i ).

thf(a1218_type,type,
    a1218: $i ).

thf(a1236_type,type,
    a1236: $i ).

thf(a1199_type,type,
    a1199: $i ).

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

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

thf(a1168_type,type,
    a1168: $i ).

thf(a1178_type,type,
    a1178: $i ).

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

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

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

thf(a1169_type,type,
    a1169: $i ).

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

thf(a1175_type,type,
    a1175: $i ).

thf(a1204_type,type,
    a1204: $i ).

thf(a1211_type,type,
    a1211: $i ).

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

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

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

thf(a1184_type,type,
    a1184: $i ).

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

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

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

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

thf(a1181_type,type,
    a1181: $i ).

thf(a1187_type,type,
    a1187: $i ).

thf(a1202_type,type,
    a1202: $i ).

thf(a1207_type,type,
    a1207: $i ).

thf(a1190_type,type,
    a1190: $i ).

thf(a1200_type,type,
    a1200: $i ).

thf(a1195_type,type,
    a1195: $i ).

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

thf(a1205_type,type,
    a1205: $i ).

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

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

thf(a1179_type,type,
    a1179: $i ).

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

thf(a1182_type,type,
    a1182: $i ).

thf(a1180_type,type,
    a1180: $i ).

thf(a1192_type,type,
    a1192: $i ).

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

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

thf(a1194_type,type,
    a1194: $i ).

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

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

thf(a1176_type,type,
    a1176: $i ).

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

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

thf(a1232_type,type,
    a1232: $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(a1172_type,type,
    a1172: $i ).

thf(a1201_type,type,
    a1201: $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
          & ( c0_1 @ a1168 )
          & ( c1_1 @ a1168 )
          & ~ ( c2_1 @ a1168 ) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & ( c1_1 @ a1169 )
          & ~ ( c2_1 @ a1169 )
          & ~ ( c3_1 @ a1169 ) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & ( c2_1 @ a1172 )
          & ( c3_1 @ a1172 )
          & ~ ( c0_1 @ a1172 ) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & ( c0_1 @ a1174 )
          & ( c1_1 @ a1174 )
          & ~ ( c3_1 @ a1174 ) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & ( c1_1 @ a1175 )
          & ( c2_1 @ a1175 )
          & ~ ( c0_1 @ a1175 ) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & ( c0_1 @ a1176 )
          & ( c2_1 @ a1176 )
          & ~ ( c3_1 @ a1176 ) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & ( c1_1 @ a1178 )
          & ( c2_1 @ a1178 )
          & ~ ( c3_1 @ a1178 ) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & ~ ( c1_1 @ a1179 )
          & ~ ( c2_1 @ a1179 )
          & ~ ( c3_1 @ a1179 ) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & ( c1_1 @ a1180 )
          & ~ ( c0_1 @ a1180 )
          & ~ ( c3_1 @ a1180 ) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & ( c0_1 @ a1181 )
          & ( c3_1 @ a1181 )
          & ~ ( c2_1 @ a1181 ) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & ~ ( c0_1 @ a1184 )
          & ~ ( c1_1 @ a1184 )
          & ~ ( c2_1 @ a1184 ) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & ( c0_1 @ a1186 )
          & ~ ( c2_1 @ a1186 )
          & ~ ( c3_1 @ a1186 ) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & ~ ( c0_1 @ a1187 )
          & ~ ( c2_1 @ a1187 )
          & ~ ( c3_1 @ a1187 ) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & ( c1_1 @ a1192 )
          & ~ ( c0_1 @ a1192 )
          & ~ ( c2_1 @ a1192 ) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & ( c2_1 @ a1194 )
          & ~ ( c0_1 @ a1194 )
          & ~ ( c1_1 @ a1194 ) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & ( c2_1 @ a1195 )
          & ~ ( c1_1 @ a1195 )
          & ~ ( c3_1 @ a1195 ) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & ( c2_1 @ a1199 )
          & ~ ( c0_1 @ a1199 )
          & ~ ( c3_1 @ a1199 ) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & ( c0_1 @ a1200 )
          & ~ ( c1_1 @ a1200 )
          & ~ ( c2_1 @ a1200 ) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & ( c1_1 @ a1202 )
          & ( c3_1 @ a1202 )
          & ~ ( c0_1 @ a1202 ) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & ( c3_1 @ a1204 )
          & ~ ( c1_1 @ a1204 )
          & ~ ( c2_1 @ a1204 ) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & ( c1_1 @ a1205 )
          & ( c3_1 @ a1205 )
          & ~ ( c2_1 @ a1205 ) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & ( c2_1 @ a1207 )
          & ( c3_1 @ a1207 )
          & ~ ( c1_1 @ a1207 ) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & ( c0_1 @ a1211 )
          & ( c3_1 @ a1211 )
          & ~ ( c1_1 @ a1211 ) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & ~ ( c0_1 @ a1218 )
          & ~ ( c1_1 @ a1218 )
          & ~ ( c3_1 @ a1218 ) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & ( c3_1 @ a1232 )
          & ~ ( c0_1 @ a1232 )
          & ~ ( c1_1 @ a1232 ) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & ( c1_1 @ a1182 )
          & ( c2_1 @ a1182 )
          & ( c3_1 @ a1182 ) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & ( c0_1 @ a1190 )
          & ( c1_1 @ a1190 )
          & ( c3_1 @ a1190 ) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & ( c0_1 @ a1201 )
          & ( c1_1 @ a1201 )
          & ( c2_1 @ a1201 ) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & ( c0_1 @ a1236 )
          & ( c2_1 @ a1236 )
          & ( c3_1 @ a1236 ) ) )
      & ( ! [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
           => ( ( c3_1 @ W )
              | ~ ( c1_1 @ W )
              | ~ ( c2_1 @ W ) ) ) )
      & ( ! [X: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X )
              | ( c1_1 @ X )
              | ( c2_1 @ X ) ) )
        | ! [Y: $i] :
            ( ndr1_0
           => ( ( c1_1 @ Y )
              | ( c2_1 @ Y )
              | ~ ( c3_1 @ Y ) ) )
        | hskp0 )
      & ( ! [Z: $i] :
            ( ndr1_0
           => ( ( c0_1 @ Z )
              | ( c1_1 @ Z )
              | ( c2_1 @ Z ) ) )
        | ! [X1: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X1 )
              | ~ ( c0_1 @ X1 )
              | ~ ( c3_1 @ X1 ) ) )
        | hskp1 )
      & ( ! [X2: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X2 )
              | ( c1_1 @ X2 )
              | ( c2_1 @ X2 ) ) )
        | ! [X3: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X3 )
              | ~ ( c0_1 @ X3 )
              | ~ ( c2_1 @ X3 ) ) )
        | hskp0 )
      & ( ! [X4: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X4 )
              | ( c1_1 @ X4 )
              | ( c3_1 @ X4 ) ) )
        | ! [X5: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X5 )
              | ( c1_1 @ X5 )
              | ~ ( c2_1 @ X5 ) ) )
        | hskp0 )
      & ( ! [X6: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X6 )
              | ( c1_1 @ X6 )
              | ( c3_1 @ X6 ) ) )
        | ! [X7: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X7 )
              | ( c3_1 @ X7 )
              | ~ ( c2_1 @ X7 ) ) )
        | ! [X8: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X8 )
              | ~ ( c2_1 @ X8 )
              | ~ ( c3_1 @ X8 ) ) ) )
      & ( ! [X9: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X9 )
              | ( c1_1 @ X9 )
              | ( c3_1 @ X9 ) ) )
        | ! [X10: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X10 )
              | ( c3_1 @ X10 )
              | ~ ( c0_1 @ X10 ) ) )
        | hskp2 )
      & ( ! [X11: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X11 )
              | ( c1_1 @ X11 )
              | ( c3_1 @ X11 ) ) )
        | hskp0
        | hskp3 )
      & ( ! [X12: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X12 )
              | ( c1_1 @ X12 )
              | ~ ( c2_1 @ X12 ) ) )
        | ! [X13: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X13 )
              | ( c1_1 @ X13 )
              | ~ ( c3_1 @ X13 ) ) )
        | ! [X14: $i] :
            ( ndr1_0
           => ( ( c3_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 )
              | ~ ( c3_1 @ X16 ) ) )
        | hskp4 )
      & ( ! [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 )
              | ( c2_1 @ X19 )
              | ( c3_1 @ X19 ) ) )
        | ! [X20: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X20 )
              | ~ ( c0_1 @ X20 )
              | ~ ( c2_1 @ X20 ) ) )
        | ! [X21: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X21 )
              | ~ ( c0_1 @ X21 )
              | ~ ( c3_1 @ X21 ) ) ) )
      & ( ! [X22: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X22 )
              | ( c2_1 @ X22 )
              | ( c3_1 @ X22 ) ) )
        | hskp3
        | hskp6 )
      & ( ! [X23: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X23 )
              | ( c2_1 @ X23 )
              | ~ ( c1_1 @ X23 ) ) )
        | ! [X24: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X24 )
              | ( c2_1 @ X24 )
              | ~ ( c0_1 @ X24 ) ) )
        | hskp7 )
      & ( ! [X25: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X25 )
              | ( c2_1 @ X25 )
              | ~ ( c1_1 @ X25 ) ) )
        | ! [X26: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X26 )
              | ~ ( c0_1 @ X26 )
              | ~ ( c2_1 @ X26 ) ) )
        | hskp8 )
      & ( ! [X27: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X27 )
              | ( c2_1 @ X27 )
              | ~ ( c1_1 @ X27 ) ) )
        | hskp9
        | hskp25 )
      & ( ! [X28: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X28 )
              | ( c2_1 @ X28 )
              | ~ ( c3_1 @ X28 ) ) )
        | ! [X29: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X29 )
              | ~ ( c2_1 @ X29 )
              | ~ ( c3_1 @ X29 ) ) )
        | hskp1 )
      & ( ! [X30: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X30 )
              | ( c2_1 @ X30 )
              | ~ ( c3_1 @ X30 ) ) )
        | ! [X31: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X31 )
              | ~ ( c0_1 @ X31 )
              | ~ ( c1_1 @ X31 ) ) )
        | hskp10 )
      & ( ! [X32: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X32 )
              | ( c3_1 @ X32 )
              | ~ ( c1_1 @ X32 ) ) )
        | ! [X33: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X33 )
              | ~ ( c1_1 @ X33 )
              | ~ ( c3_1 @ X33 ) ) )
        | hskp3 )
      & ( ! [X34: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X34 )
              | ( c3_1 @ X34 )
              | ~ ( c2_1 @ X34 ) ) )
        | ! [X35: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X35 )
              | ( c3_1 @ X35 )
              | ~ ( c0_1 @ X35 ) ) )
        | ! [X36: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X36 )
              | ~ ( c1_1 @ X36 )
              | ~ ( c2_1 @ X36 ) ) ) )
      & ( ! [X37: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X37 )
              | ~ ( c1_1 @ X37 )
              | ~ ( c2_1 @ X37 ) ) )
        | ! [X38: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X38 )
              | ~ ( c0_1 @ X38 )
              | ~ ( c2_1 @ X38 ) ) )
        | ! [X39: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X39 )
              | ~ ( c2_1 @ X39 )
              | ~ ( c3_1 @ X39 ) ) ) )
      & ( ! [X40: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X40 )
              | ~ ( c1_1 @ X40 )
              | ~ ( c3_1 @ X40 ) ) )
        | ! [X41: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X41 )
              | ( c2_1 @ X41 )
              | ~ ( c3_1 @ X41 ) ) )
        | hskp11 )
      & ( ! [X42: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X42 )
              | ~ ( c1_1 @ X42 )
              | ~ ( c3_1 @ X42 ) ) )
        | ! [X43: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X43 )
              | ~ ( c0_1 @ X43 )
              | ~ ( c2_1 @ X43 ) ) )
        | hskp12 )
      & ( ! [X44: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X44 )
              | ~ ( c1_1 @ X44 )
              | ~ ( c3_1 @ X44 ) ) )
        | ! [X45: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X45 )
              | ~ ( c0_1 @ X45 )
              | ~ ( c2_1 @ X45 ) ) )
        | ! [X46: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X46 )
              | ~ ( c1_1 @ X46 )
              | ~ ( c2_1 @ X46 ) ) ) )
      & ( ! [X47: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X47 )
              | ~ ( c1_1 @ X47 )
              | ~ ( c3_1 @ X47 ) ) )
        | hskp5
        | hskp4 )
      & ( ! [X48: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X48 )
              | ( c2_1 @ X48 )
              | ( c3_1 @ X48 ) ) )
        | ! [X49: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X49 )
              | ( c3_1 @ X49 )
              | ~ ( c2_1 @ X49 ) ) )
        | hskp26 )
      & ( ! [X50: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X50 )
              | ( c2_1 @ X50 )
              | ( c3_1 @ X50 ) ) )
        | ! [X51: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X51 )
              | ~ ( c0_1 @ X51 )
              | ~ ( c1_1 @ X51 ) ) )
        | hskp6 )
      & ( ! [X52: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X52 )
              | ( c2_1 @ X52 )
              | ( c3_1 @ X52 ) ) )
        | ! [X53: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X53 )
              | ~ ( c1_1 @ X53 )
              | ~ ( c3_1 @ X53 ) ) )
        | hskp13 )
      & ( ! [X54: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X54 )
              | ( c2_1 @ X54 )
              | ( c3_1 @ X54 ) ) )
        | ! [X55: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X55 )
              | ~ ( c2_1 @ X55 )
              | ~ ( c3_1 @ X55 ) ) )
        | hskp3 )
      & ( ! [X56: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X56 )
              | ( c2_1 @ X56 )
              | ( c3_1 @ X56 ) ) )
        | hskp14
        | hskp15 )
      & ( ! [X57: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X57 )
              | ( c2_1 @ X57 )
              | ~ ( c0_1 @ X57 ) ) )
        | ! [X58: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X58 )
              | ~ ( c0_1 @ X58 )
              | ~ ( c3_1 @ X58 ) ) )
        | ! [X59: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X59 )
              | ~ ( c0_1 @ X59 )
              | ~ ( c1_1 @ X59 ) ) ) )
      & ( ! [X60: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X60 )
              | ( c2_1 @ X60 )
              | ~ ( c0_1 @ X60 ) ) )
        | ! [X61: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X61 )
              | ~ ( c1_1 @ X61 )
              | ~ ( c3_1 @ X61 ) ) ) )
      & ( ! [X62: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X62 )
              | ( c2_1 @ X62 )
              | ~ ( c0_1 @ X62 ) ) )
        | hskp0 )
      & ( ! [X63: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X63 )
              | ( c2_1 @ X63 )
              | ~ ( c3_1 @ X63 ) ) )
        | ! [X64: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X64 )
              | ~ ( c0_1 @ X64 )
              | ~ ( c1_1 @ X64 ) ) )
        | hskp11 )
      & ( ! [X65: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X65 )
              | ( c2_1 @ X65 )
              | ~ ( c3_1 @ X65 ) ) )
        | hskp0
        | hskp16 )
      & ( ! [X66: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X66 )
              | ~ ( c0_1 @ X66 )
              | ~ ( c2_1 @ X66 ) ) )
        | ! [X67: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X67 )
              | ( c3_1 @ X67 )
              | ~ ( c0_1 @ X67 ) ) )
        | hskp17 )
      & ( ! [X68: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X68 )
              | ~ ( c0_1 @ X68 )
              | ~ ( c2_1 @ X68 ) ) )
        | hskp27
        | hskp18 )
      & ( ! [X69: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X69 )
              | ~ ( c0_1 @ X69 )
              | ~ ( c3_1 @ X69 ) ) )
        | ! [X70: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X70 )
              | ( c3_1 @ X70 )
              | ~ ( c1_1 @ X70 ) ) )
        | ! [X71: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X71 )
              | ~ ( c1_1 @ X71 )
              | ~ ( c2_1 @ X71 ) ) ) )
      & ( ! [X72: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X72 )
              | ~ ( c0_1 @ X72 )
              | ~ ( c3_1 @ X72 ) ) )
        | hskp13
        | hskp19 )
      & ( ! [X73: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X73 )
              | ~ ( c2_1 @ X73 )
              | ~ ( c3_1 @ X73 ) ) )
        | hskp20
        | hskp12 )
      & ( ! [X74: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X74 )
              | ~ ( c2_1 @ X74 )
              | ~ ( c3_1 @ X74 ) ) )
        | hskp21
        | hskp12 )
      & ( ! [X75: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X75 )
              | ( c3_1 @ X75 )
              | ~ ( c0_1 @ X75 ) ) )
        | ! [X76: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X76 )
              | ~ ( c1_1 @ X76 )
              | ~ ( c3_1 @ X76 ) ) )
        | hskp11 )
      & ( ! [X77: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X77 )
              | ( c3_1 @ X77 )
              | ~ ( c0_1 @ X77 ) ) )
        | ! [X78: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X78 )
              | ~ ( c1_1 @ X78 )
              | ~ ( c3_1 @ X78 ) ) )
        | hskp13 )
      & ( ! [X79: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X79 )
              | ( c3_1 @ X79 )
              | ~ ( c0_1 @ X79 ) ) )
        | hskp22
        | hskp17 )
      & ( ! [X80: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X80 )
              | ( c3_1 @ X80 )
              | ~ ( c0_1 @ X80 ) ) )
        | hskp22
        | hskp14 )
      & ( ! [X81: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X81 )
              | ( c3_1 @ X81 )
              | ~ ( c0_1 @ X81 ) ) )
        | hskp9
        | hskp18 )
      & ( ! [X82: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X82 )
              | ( c3_1 @ X82 )
              | ~ ( c1_1 @ X82 ) ) )
        | hskp19
        | hskp23 )
      & ( ! [X83: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X83 )
              | ~ ( c0_1 @ X83 )
              | ~ ( c1_1 @ X83 ) ) )
        | ! [X84: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X84 )
              | ~ ( c0_1 @ X84 )
              | ~ ( c1_1 @ X84 ) ) )
        | hskp25 )
      & ( ! [X85: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X85 )
              | ~ ( c1_1 @ X85 )
              | ~ ( c3_1 @ X85 ) ) )
        | hskp26
        | hskp8 )
      & ( ! [X86: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X86 )
              | ~ ( c0_1 @ X86 )
              | ~ ( c2_1 @ X86 ) ) )
        | hskp22
        | hskp14 )
      & ( ! [X87: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X87 )
              | ~ ( c0_1 @ X87 )
              | ~ ( c2_1 @ X87 ) ) )
        | hskp11
        | hskp15 )
      & ( ! [X88: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X88 )
              | ~ ( c2_1 @ X88 )
              | ~ ( c3_1 @ X88 ) ) )
        | hskp22
        | hskp2 )
      & ( ! [X89: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X89 )
              | ~ ( c2_1 @ X89 )
              | ~ ( c3_1 @ X89 ) ) )
        | hskp13
        | hskp10 )
      & ( hskp26
        | hskp17
        | hskp24 )
      & ( hskp0
        | hskp1
        | hskp14 )
      & ( hskp28
        | hskp8 )
      & ( hskp17
        | hskp13
        | hskp2 )
      & ( hskp17
        | hskp1
        | hskp16 )
      & ( hskp6
        | hskp21
        | hskp14 )
      & ( hskp8
        | hskp21
        | hskp19 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( ~ hskp0
      | ( ndr1_0
        & ( c0_1 @ a1168 )
        & ( c1_1 @ a1168 )
        & ~ ( c2_1 @ a1168 ) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ( c1_1 @ a1169 )
        & ~ ( c2_1 @ a1169 )
        & ~ ( c3_1 @ a1169 ) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ( c2_1 @ a1172 )
        & ( c3_1 @ a1172 )
        & ~ ( c0_1 @ a1172 ) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ( c0_1 @ a1174 )
        & ( c1_1 @ a1174 )
        & ~ ( c3_1 @ a1174 ) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ( c1_1 @ a1175 )
        & ( c2_1 @ a1175 )
        & ~ ( c0_1 @ a1175 ) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ( c0_1 @ a1176 )
        & ( c2_1 @ a1176 )
        & ~ ( c3_1 @ a1176 ) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ( c1_1 @ a1178 )
        & ( c2_1 @ a1178 )
        & ~ ( c3_1 @ a1178 ) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & ~ ( c1_1 @ a1179 )
        & ~ ( c2_1 @ a1179 )
        & ~ ( c3_1 @ a1179 ) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ( c1_1 @ a1180 )
        & ~ ( c0_1 @ a1180 )
        & ~ ( c3_1 @ a1180 ) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ( c0_1 @ a1181 )
        & ( c3_1 @ a1181 )
        & ~ ( c2_1 @ a1181 ) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ~ ( c0_1 @ a1184 )
        & ~ ( c1_1 @ a1184 )
        & ~ ( c2_1 @ a1184 ) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ( c0_1 @ a1186 )
        & ~ ( c2_1 @ a1186 )
        & ~ ( c3_1 @ a1186 ) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ~ ( c0_1 @ a1187 )
        & ~ ( c2_1 @ a1187 )
        & ~ ( c3_1 @ a1187 ) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & ( c1_1 @ a1192 )
        & ~ ( c0_1 @ a1192 )
        & ~ ( c2_1 @ a1192 ) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ( c2_1 @ a1194 )
        & ~ ( c0_1 @ a1194 )
        & ~ ( c1_1 @ a1194 ) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & ( c2_1 @ a1195 )
        & ~ ( c1_1 @ a1195 )
        & ~ ( c3_1 @ a1195 ) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & ( c2_1 @ a1199 )
        & ~ ( c0_1 @ a1199 )
        & ~ ( c3_1 @ a1199 ) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ( c0_1 @ a1200 )
        & ~ ( c1_1 @ a1200 )
        & ~ ( c2_1 @ a1200 ) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ( c1_1 @ a1202 )
        & ( c3_1 @ a1202 )
        & ~ ( c0_1 @ a1202 ) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ( c3_1 @ a1204 )
        & ~ ( c1_1 @ a1204 )
        & ~ ( c2_1 @ a1204 ) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ( c1_1 @ a1205 )
        & ( c3_1 @ a1205 )
        & ~ ( c2_1 @ a1205 ) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & ( c2_1 @ a1207 )
        & ( c3_1 @ a1207 )
        & ~ ( c1_1 @ a1207 ) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ( c0_1 @ a1211 )
        & ( c3_1 @ a1211 )
        & ~ ( c1_1 @ a1211 ) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ~ ( c0_1 @ a1218 )
        & ~ ( c1_1 @ a1218 )
        & ~ ( c3_1 @ a1218 ) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ( c3_1 @ a1232 )
        & ~ ( c0_1 @ a1232 )
        & ~ ( c1_1 @ a1232 ) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ( c1_1 @ a1182 )
        & ( c2_1 @ a1182 )
        & ( c3_1 @ a1182 ) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ( c0_1 @ a1190 )
        & ( c1_1 @ a1190 )
        & ( c3_1 @ a1190 ) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ( c0_1 @ a1201 )
        & ( c1_1 @ a1201 )
        & ( c2_1 @ a1201 ) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & ( c0_1 @ a1236 )
        & ( c2_1 @ a1236 )
        & ( c3_1 @ a1236 ) ) )
    & ( ! [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
         => ( ( c3_1 @ W )
            | ~ ( c1_1 @ W )
            | ~ ( c2_1 @ W ) ) ) )
    & ( ! [X: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X )
            | ( c1_1 @ X )
            | ( c2_1 @ X ) ) )
      | ! [Y: $i] :
          ( ndr1_0
         => ( ( c1_1 @ Y )
            | ( c2_1 @ Y )
            | ~ ( c3_1 @ Y ) ) )
      | hskp0 )
    & ( ! [Z: $i] :
          ( ndr1_0
         => ( ( c0_1 @ Z )
            | ( c1_1 @ Z )
            | ( c2_1 @ Z ) ) )
      | ! [X1: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X1 )
            | ~ ( c0_1 @ X1 )
            | ~ ( c3_1 @ X1 ) ) )
      | hskp1 )
    & ( ! [X2: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X2 )
            | ( c1_1 @ X2 )
            | ( c2_1 @ X2 ) ) )
      | ! [X3: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X3 )
            | ~ ( c0_1 @ X3 )
            | ~ ( c2_1 @ X3 ) ) )
      | hskp0 )
    & ( ! [X4: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X4 )
            | ( c1_1 @ X4 )
            | ( c3_1 @ X4 ) ) )
      | ! [X5: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X5 )
            | ( c1_1 @ X5 )
            | ~ ( c2_1 @ X5 ) ) )
      | hskp0 )
    & ( ! [X6: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X6 )
            | ( c1_1 @ X6 )
            | ( c3_1 @ X6 ) ) )
      | ! [X7: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X7 )
            | ( c3_1 @ X7 )
            | ~ ( c2_1 @ X7 ) ) )
      | ! [X8: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X8 )
            | ~ ( c2_1 @ X8 )
            | ~ ( c3_1 @ X8 ) ) ) )
    & ( ! [X9: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X9 )
            | ( c1_1 @ X9 )
            | ( c3_1 @ X9 ) ) )
      | ! [X10: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X10 )
            | ( c3_1 @ X10 )
            | ~ ( c0_1 @ X10 ) ) )
      | hskp2 )
    & ( ! [X11: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X11 )
            | ( c1_1 @ X11 )
            | ( c3_1 @ X11 ) ) )
      | hskp0
      | hskp3 )
    & ( ! [X12: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X12 )
            | ( c1_1 @ X12 )
            | ~ ( c2_1 @ X12 ) ) )
      | ! [X13: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X13 )
            | ( c1_1 @ X13 )
            | ~ ( c3_1 @ X13 ) ) )
      | ! [X14: $i] :
          ( ndr1_0
         => ( ( c3_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 )
            | ~ ( c3_1 @ X16 ) ) )
      | hskp4 )
    & ( ! [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 )
            | ( c2_1 @ X19 )
            | ( c3_1 @ X19 ) ) )
      | ! [X20: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X20 )
            | ~ ( c0_1 @ X20 )
            | ~ ( c2_1 @ X20 ) ) )
      | ! [X21: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X21 )
            | ~ ( c0_1 @ X21 )
            | ~ ( c3_1 @ X21 ) ) ) )
    & ( ! [X22: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X22 )
            | ( c2_1 @ X22 )
            | ( c3_1 @ X22 ) ) )
      | hskp3
      | hskp6 )
    & ( ! [X23: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X23 )
            | ( c2_1 @ X23 )
            | ~ ( c1_1 @ X23 ) ) )
      | ! [X24: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X24 )
            | ( c2_1 @ X24 )
            | ~ ( c0_1 @ X24 ) ) )
      | hskp7 )
    & ( ! [X25: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X25 )
            | ( c2_1 @ X25 )
            | ~ ( c1_1 @ X25 ) ) )
      | ! [X26: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X26 )
            | ~ ( c0_1 @ X26 )
            | ~ ( c2_1 @ X26 ) ) )
      | hskp8 )
    & ( ! [X27: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X27 )
            | ( c2_1 @ X27 )
            | ~ ( c1_1 @ X27 ) ) )
      | hskp9
      | hskp25 )
    & ( ! [X28: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X28 )
            | ( c2_1 @ X28 )
            | ~ ( c3_1 @ X28 ) ) )
      | ! [X29: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X29 )
            | ~ ( c2_1 @ X29 )
            | ~ ( c3_1 @ X29 ) ) )
      | hskp1 )
    & ( ! [X30: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X30 )
            | ( c2_1 @ X30 )
            | ~ ( c3_1 @ X30 ) ) )
      | ! [X31: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X31 )
            | ~ ( c0_1 @ X31 )
            | ~ ( c1_1 @ X31 ) ) )
      | hskp10 )
    & ( ! [X32: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X32 )
            | ( c3_1 @ X32 )
            | ~ ( c1_1 @ X32 ) ) )
      | ! [X33: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X33 )
            | ~ ( c1_1 @ X33 )
            | ~ ( c3_1 @ X33 ) ) )
      | hskp3 )
    & ( ! [X34: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X34 )
            | ( c3_1 @ X34 )
            | ~ ( c2_1 @ X34 ) ) )
      | ! [X35: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X35 )
            | ( c3_1 @ X35 )
            | ~ ( c0_1 @ X35 ) ) )
      | ! [X36: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X36 )
            | ~ ( c1_1 @ X36 )
            | ~ ( c2_1 @ X36 ) ) ) )
    & ( ! [X37: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X37 )
            | ~ ( c1_1 @ X37 )
            | ~ ( c2_1 @ X37 ) ) )
      | ! [X38: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X38 )
            | ~ ( c0_1 @ X38 )
            | ~ ( c2_1 @ X38 ) ) )
      | ! [X39: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X39 )
            | ~ ( c2_1 @ X39 )
            | ~ ( c3_1 @ X39 ) ) ) )
    & ( ! [X40: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X40 )
            | ~ ( c1_1 @ X40 )
            | ~ ( c3_1 @ X40 ) ) )
      | ! [X41: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X41 )
            | ( c2_1 @ X41 )
            | ~ ( c3_1 @ X41 ) ) )
      | hskp11 )
    & ( ! [X42: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X42 )
            | ~ ( c1_1 @ X42 )
            | ~ ( c3_1 @ X42 ) ) )
      | ! [X43: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X43 )
            | ~ ( c0_1 @ X43 )
            | ~ ( c2_1 @ X43 ) ) )
      | hskp12 )
    & ( ! [X44: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X44 )
            | ~ ( c1_1 @ X44 )
            | ~ ( c3_1 @ X44 ) ) )
      | ! [X45: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X45 )
            | ~ ( c0_1 @ X45 )
            | ~ ( c2_1 @ X45 ) ) )
      | ! [X46: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X46 )
            | ~ ( c1_1 @ X46 )
            | ~ ( c2_1 @ X46 ) ) ) )
    & ( ! [X47: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X47 )
            | ~ ( c1_1 @ X47 )
            | ~ ( c3_1 @ X47 ) ) )
      | hskp5
      | hskp4 )
    & ( ! [X48: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X48 )
            | ( c2_1 @ X48 )
            | ( c3_1 @ X48 ) ) )
      | ! [X49: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X49 )
            | ( c3_1 @ X49 )
            | ~ ( c2_1 @ X49 ) ) )
      | hskp26 )
    & ( ! [X50: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X50 )
            | ( c2_1 @ X50 )
            | ( c3_1 @ X50 ) ) )
      | ! [X51: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X51 )
            | ~ ( c0_1 @ X51 )
            | ~ ( c1_1 @ X51 ) ) )
      | hskp6 )
    & ( ! [X52: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X52 )
            | ( c2_1 @ X52 )
            | ( c3_1 @ X52 ) ) )
      | ! [X53: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X53 )
            | ~ ( c1_1 @ X53 )
            | ~ ( c3_1 @ X53 ) ) )
      | hskp13 )
    & ( ! [X54: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X54 )
            | ( c2_1 @ X54 )
            | ( c3_1 @ X54 ) ) )
      | ! [X55: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X55 )
            | ~ ( c2_1 @ X55 )
            | ~ ( c3_1 @ X55 ) ) )
      | hskp3 )
    & ( ! [X56: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X56 )
            | ( c2_1 @ X56 )
            | ( c3_1 @ X56 ) ) )
      | hskp14
      | hskp15 )
    & ( ! [X57: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X57 )
            | ( c2_1 @ X57 )
            | ~ ( c0_1 @ X57 ) ) )
      | ! [X58: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X58 )
            | ~ ( c0_1 @ X58 )
            | ~ ( c3_1 @ X58 ) ) )
      | ! [X59: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X59 )
            | ~ ( c0_1 @ X59 )
            | ~ ( c1_1 @ X59 ) ) ) )
    & ( ! [X60: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X60 )
            | ( c2_1 @ X60 )
            | ~ ( c0_1 @ X60 ) ) )
      | ! [X61: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X61 )
            | ~ ( c1_1 @ X61 )
            | ~ ( c3_1 @ X61 ) ) ) )
    & ( ! [X62: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X62 )
            | ( c2_1 @ X62 )
            | ~ ( c0_1 @ X62 ) ) )
      | hskp0 )
    & ( ! [X63: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X63 )
            | ( c2_1 @ X63 )
            | ~ ( c3_1 @ X63 ) ) )
      | ! [X64: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X64 )
            | ~ ( c0_1 @ X64 )
            | ~ ( c1_1 @ X64 ) ) )
      | hskp11 )
    & ( ! [X65: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X65 )
            | ( c2_1 @ X65 )
            | ~ ( c3_1 @ X65 ) ) )
      | hskp0
      | hskp16 )
    & ( ! [X66: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X66 )
            | ~ ( c0_1 @ X66 )
            | ~ ( c2_1 @ X66 ) ) )
      | ! [X67: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X67 )
            | ( c3_1 @ X67 )
            | ~ ( c0_1 @ X67 ) ) )
      | hskp17 )
    & ( ! [X68: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X68 )
            | ~ ( c0_1 @ X68 )
            | ~ ( c2_1 @ X68 ) ) )
      | hskp27
      | hskp18 )
    & ( ! [X69: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X69 )
            | ~ ( c0_1 @ X69 )
            | ~ ( c3_1 @ X69 ) ) )
      | ! [X70: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X70 )
            | ( c3_1 @ X70 )
            | ~ ( c1_1 @ X70 ) ) )
      | ! [X71: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X71 )
            | ~ ( c1_1 @ X71 )
            | ~ ( c2_1 @ X71 ) ) ) )
    & ( ! [X72: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X72 )
            | ~ ( c0_1 @ X72 )
            | ~ ( c3_1 @ X72 ) ) )
      | hskp13
      | hskp19 )
    & ( ! [X73: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X73 )
            | ~ ( c2_1 @ X73 )
            | ~ ( c3_1 @ X73 ) ) )
      | hskp20
      | hskp12 )
    & ( ! [X74: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X74 )
            | ~ ( c2_1 @ X74 )
            | ~ ( c3_1 @ X74 ) ) )
      | hskp21
      | hskp12 )
    & ( ! [X75: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X75 )
            | ( c3_1 @ X75 )
            | ~ ( c0_1 @ X75 ) ) )
      | ! [X76: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X76 )
            | ~ ( c1_1 @ X76 )
            | ~ ( c3_1 @ X76 ) ) )
      | hskp11 )
    & ( ! [X77: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X77 )
            | ( c3_1 @ X77 )
            | ~ ( c0_1 @ X77 ) ) )
      | ! [X78: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X78 )
            | ~ ( c1_1 @ X78 )
            | ~ ( c3_1 @ X78 ) ) )
      | hskp13 )
    & ( ! [X79: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X79 )
            | ( c3_1 @ X79 )
            | ~ ( c0_1 @ X79 ) ) )
      | hskp22
      | hskp17 )
    & ( ! [X80: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X80 )
            | ( c3_1 @ X80 )
            | ~ ( c0_1 @ X80 ) ) )
      | hskp22
      | hskp14 )
    & ( ! [X81: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X81 )
            | ( c3_1 @ X81 )
            | ~ ( c0_1 @ X81 ) ) )
      | hskp9
      | hskp18 )
    & ( ! [X82: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X82 )
            | ( c3_1 @ X82 )
            | ~ ( c1_1 @ X82 ) ) )
      | hskp19
      | hskp23 )
    & ( ! [X83: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X83 )
            | ~ ( c0_1 @ X83 )
            | ~ ( c1_1 @ X83 ) ) )
      | ! [X84: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X84 )
            | ~ ( c0_1 @ X84 )
            | ~ ( c1_1 @ X84 ) ) )
      | hskp25 )
    & ( ! [X85: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X85 )
            | ~ ( c1_1 @ X85 )
            | ~ ( c3_1 @ X85 ) ) )
      | hskp26
      | hskp8 )
    & ( ! [X86: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X86 )
            | ~ ( c0_1 @ X86 )
            | ~ ( c2_1 @ X86 ) ) )
      | hskp22
      | hskp14 )
    & ( ! [X87: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X87 )
            | ~ ( c0_1 @ X87 )
            | ~ ( c2_1 @ X87 ) ) )
      | hskp11
      | hskp15 )
    & ( ! [X88: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X88 )
            | ~ ( c2_1 @ X88 )
            | ~ ( c3_1 @ X88 ) ) )
      | hskp22
      | hskp2 )
    & ( ! [X89: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X89 )
            | ~ ( c2_1 @ X89 )
            | ~ ( c3_1 @ X89 ) ) )
      | hskp13
      | hskp10 )
    & ( hskp26
      | hskp17
      | hskp24 )
    & ( hskp0
      | hskp1
      | hskp14 )
    & ( hskp28
      | hskp8 )
    & ( hskp17
      | hskp13
      | hskp2 )
    & ( hskp17
      | hskp1
      | hskp16 )
    & ( hskp6
      | hskp21
      | hskp14 )
    & ( hskp8
      | hskp21
      | hskp19 ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl19,plain,
    ! [X15: $i] :
      ( ( c1_1 @ X15 )
      | ~ ( c2_1 @ X15 )
      | ~ ( c3_1 @ X15 )
      | ~ ndr1_0
      | hskp21
      | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl244,plain,
    ( ! [X15: $i] :
        ( ( c1_1 @ X15 )
        | ~ ( c2_1 @ X15 )
        | ~ ( c3_1 @ X15 ) )
   <= ! [X15: $i] :
        ( ( c1_1 @ X15 )
        | ~ ( c2_1 @ X15 )
        | ~ ( c3_1 @ X15 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl119,plain,
    ( ~ hskp14
    | ~ ( c1_1 @ a1194 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl524,plain,
    ( ~ ( c1_1 @ a1194 )
   <= ~ ( c1_1 @ a1194 ) ),
    inference(split,[status(esa)],[zip_derived_cl119]) ).

thf(zip_derived_cl828,plain,
    ( ( ~ ( c3_1 @ a1194 )
      | ~ ( c2_1 @ a1194 ) )
   <= ( ~ ( c1_1 @ a1194 )
      & ! [X15: $i] :
          ( ( c1_1 @ X15 )
          | ~ ( c2_1 @ X15 )
          | ~ ( c3_1 @ X15 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl244,zip_derived_cl524]) ).

thf('0',plain,
    ( ~ ! [X15: $i] :
          ( ( c1_1 @ X15 )
          | ~ ( c2_1 @ X15 )
          | ~ ( c3_1 @ X15 ) )
    | ~ ( c3_1 @ a1194 )
    | ( c1_1 @ a1194 )
    | ~ ( c2_1 @ a1194 ) ),
    inference(split,[status(esa)],[zip_derived_cl828]) ).

thf(zip_derived_cl61,plain,
    ( ~ hskp28
    | ( c0_1 @ a1236 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('1',plain,
    ( ( c0_1 @ a1236 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(zip_derived_cl62,plain,
    ( ~ hskp28
    | ( c2_1 @ a1236 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('2',plain,
    ( ( c2_1 @ a1236 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf(zip_derived_cl63,plain,
    ( ~ hskp28
    | ( c3_1 @ a1236 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('3',plain,
    ( ( c3_1 @ a1236 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl63]) ).

thf(zip_derived_cl412,plain,
    ( ( c3_1 @ a1236 )
   <= ( c3_1 @ a1236 ) ),
    inference(split,[status(esa)],[zip_derived_cl63]) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i] :
      ( ~ ( c0_1 @ X0 )
      | ~ ( c2_1 @ X0 )
      | ~ ( c3_1 @ X0 )
      | ~ ndr1_0
      | hskp13
      | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl196,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl1135,plain,
    ( ( ~ ( c0_1 @ a1236 )
      | ~ ( c2_1 @ a1236 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c3_1 @ a1236 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl412,zip_derived_cl196]) ).

thf('4',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c0_1 @ a1236 )
    | ~ ( c2_1 @ a1236 )
    | ~ ( c3_1 @ a1236 ) ),
    inference(split,[status(esa)],[zip_derived_cl1135]) ).

thf(zip_derived_cl42,plain,
    ! [X58: $i,X59: $i] :
      ( ( c0_1 @ X58 )
      | ( c2_1 @ X58 )
      | ~ ( c3_1 @ X58 )
      | ~ ndr1_0
      | ( c3_1 @ X59 )
      | ~ ( c0_1 @ X59 )
      | ~ ( c1_1 @ X59 )
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('5',plain,
    ( ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c1_1 @ X6 ) )
    | ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c2_1 @ X58 )
        | ~ ( c3_1 @ X58 ) )
    | ~ ndr1_0
    | hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl0,plain,
    ( hskp8
    | hskp21
    | hskp19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('6',plain,
    ( hskp21
    | hskp8
    | hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf(zip_derived_cl244_001,plain,
    ( ! [X15: $i] :
        ( ( c1_1 @ X15 )
        | ~ ( c2_1 @ X15 )
        | ~ ( c3_1 @ X15 ) )
   <= ! [X15: $i] :
        ( ( c1_1 @ X15 )
        | ~ ( c2_1 @ X15 )
        | ~ ( c3_1 @ X15 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl91,plain,
    ( ~ hskp21
    | ~ ( c1_1 @ a1207 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl468,plain,
    ( ~ ( c1_1 @ a1207 )
   <= ~ ( c1_1 @ a1207 ) ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl832,plain,
    ( ( ~ ( c3_1 @ a1207 )
      | ~ ( c2_1 @ a1207 ) )
   <= ( ~ ( c1_1 @ a1207 )
      & ! [X15: $i] :
          ( ( c1_1 @ X15 )
          | ~ ( c2_1 @ X15 )
          | ~ ( c3_1 @ X15 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl244,zip_derived_cl468]) ).

thf('7',plain,
    ( ~ ! [X15: $i] :
          ( ( c1_1 @ X15 )
          | ~ ( c2_1 @ X15 )
          | ~ ( c3_1 @ X15 ) )
    | ~ ( c2_1 @ a1207 )
    | ( c1_1 @ a1207 )
    | ~ ( c3_1 @ a1207 ) ),
    inference(split,[status(esa)],[zip_derived_cl832]) ).

thf(zip_derived_cl43,plain,
    ! [X60: $i,X61: $i] :
      ( ( c0_1 @ X60 )
      | ( c2_1 @ X60 )
      | ~ ( c3_1 @ X60 )
      | ~ ndr1_0
      | ( c1_1 @ X61 )
      | ~ ( c2_1 @ X61 )
      | ~ ( c3_1 @ X61 )
      | ~ ndr1_0
      | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('8',plain,
    ( ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c2_1 @ X58 )
        | ~ ( c3_1 @ X58 ) )
    | ! [X15: $i] :
        ( ( c1_1 @ X15 )
        | ~ ( c2_1 @ X15 )
        | ~ ( c3_1 @ X15 ) )
    | ~ ndr1_0
    | hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl4,plain,
    ( hskp28
    | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('9',plain,
    ( hskp28
    | hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf(zip_derived_cl169,plain,
    ( ~ hskp1
    | ( c1_1 @ a1169 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl624,plain,
    ( ( c1_1 @ a1169 )
   <= ( c1_1 @ a1169 ) ),
    inference(split,[status(esa)],[zip_derived_cl169]) ).

thf(zip_derived_cl41,plain,
    ! [X56: $i,X57: $i] :
      ( ( c0_1 @ X56 )
      | ( c3_1 @ X56 )
      | ~ ( c1_1 @ X56 )
      | ~ ndr1_0
      | ( c2_1 @ X57 )
      | ~ ( c1_1 @ X57 )
      | ~ ( c3_1 @ X57 )
      | ~ ndr1_0
      | hskp3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl331,plain,
    ( ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ( c3_1 @ X56 )
        | ~ ( c1_1 @ X56 ) )
   <= ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ( c3_1 @ X56 )
        | ~ ( c1_1 @ X56 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl1604,plain,
    ( ( ( c0_1 @ a1169 )
      | ( c3_1 @ a1169 ) )
   <= ( ! [X56: $i] :
          ( ( c0_1 @ X56 )
          | ( c3_1 @ X56 )
          | ~ ( c1_1 @ X56 ) )
      & ( c1_1 @ a1169 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl624,zip_derived_cl331]) ).

thf('10',plain,
    ( ( c3_1 @ a1169 )
    | ~ ( c1_1 @ a1169 )
    | ~ ! [X56: $i] :
          ( ( c0_1 @ X56 )
          | ( c3_1 @ X56 )
          | ~ ( c1_1 @ X56 ) )
    | ( c0_1 @ a1169 ) ),
    inference(split,[status(esa)],[zip_derived_cl1604]) ).

thf(zip_derived_cl36,plain,
    ! [X43: $i,X44: $i,X45: $i] :
      ( ( c0_1 @ X43 )
      | ~ ( c1_1 @ X43 )
      | ~ ( c3_1 @ X43 )
      | ~ ndr1_0
      | ( c3_1 @ X44 )
      | ~ ( c0_1 @ X44 )
      | ~ ( c2_1 @ X44 )
      | ~ ndr1_0
      | ( c3_1 @ X45 )
      | ~ ( c1_1 @ X45 )
      | ~ ( c2_1 @ X45 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('11',plain,
    ( ! [X2: $i] :
        ( ( c3_1 @ X2 )
        | ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 ) )
    | ! [X45: $i] :
        ( ( c3_1 @ X45 )
        | ~ ( c1_1 @ X45 )
        | ~ ( c2_1 @ X45 ) )
    | ~ ndr1_0
    | ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c3_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl25,plain,
    ! [X24: $i] :
      ( ( c1_1 @ X24 )
      | ( c2_1 @ X24 )
      | ~ ( c3_1 @ X24 )
      | ~ ndr1_0
      | hskp0
      | hskp16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl268,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_cl25]) ).

thf(zip_derived_cl98,plain,
    ( ~ hskp19
    | ~ ( c1_1 @ a1204 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl482,plain,
    ( ~ ( c1_1 @ a1204 )
   <= ~ ( c1_1 @ a1204 ) ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf(zip_derived_cl1036,plain,
    ( ( ~ ( c3_1 @ a1204 )
      | ( c2_1 @ a1204 ) )
   <= ( ~ ( c1_1 @ a1204 )
      & ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ( c2_1 @ X24 )
          | ~ ( c3_1 @ X24 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl268,zip_derived_cl482]) ).

thf('12',plain,
    ( ( c1_1 @ a1204 )
    | ( c2_1 @ a1204 )
    | ~ ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ( c2_1 @ X24 )
          | ~ ( c3_1 @ X24 ) )
    | ~ ( c3_1 @ a1204 ) ),
    inference(split,[status(esa)],[zip_derived_cl1036]) ).

thf(zip_derived_cl49,plain,
    ! [X71: $i,X72: $i] :
      ( ( c0_1 @ X71 )
      | ( c1_1 @ X71 )
      | ~ ( c2_1 @ X71 )
      | ~ ndr1_0
      | ( c1_1 @ X72 )
      | ( c2_1 @ X72 )
      | ( c3_1 @ X72 )
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl363,plain,
    ( ! [X71: $i] :
        ( ( c0_1 @ X71 )
        | ( c1_1 @ X71 )
        | ~ ( c2_1 @ X71 ) )
   <= ! [X71: $i] :
        ( ( c0_1 @ X71 )
        | ( c1_1 @ X71 )
        | ~ ( c2_1 @ X71 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl468_002,plain,
    ( ~ ( c1_1 @ a1207 )
   <= ~ ( c1_1 @ a1207 ) ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl1780,plain,
    ( ( ~ ( c2_1 @ a1207 )
      | ( c0_1 @ a1207 ) )
   <= ( ~ ( c1_1 @ a1207 )
      & ! [X71: $i] :
          ( ( c0_1 @ X71 )
          | ( c1_1 @ X71 )
          | ~ ( c2_1 @ X71 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl363,zip_derived_cl468]) ).

thf('13',plain,
    ( ~ ! [X71: $i] :
          ( ( c0_1 @ X71 )
          | ( c1_1 @ X71 )
          | ~ ( c2_1 @ X71 ) )
    | ( c0_1 @ a1207 )
    | ( c1_1 @ a1207 )
    | ~ ( c2_1 @ a1207 ) ),
    inference(split,[status(esa)],[zip_derived_cl1780]) ).

thf(zip_derived_cl115,plain,
    ( ~ hskp15
    | ~ ( c3_1 @ a1195 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl516,plain,
    ( ~ ( c3_1 @ a1195 )
   <= ~ ( c3_1 @ a1195 ) ),
    inference(split,[status(esa)],[zip_derived_cl115]) ).

thf(zip_derived_cl9,plain,
    ! [X2: $i] :
      ( ( c3_1 @ X2 )
      | ~ ( c0_1 @ X2 )
      | ~ ( c2_1 @ X2 )
      | ~ ndr1_0
      | hskp11
      | hskp15 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl204,plain,
    ( ! [X2: $i] :
        ( ( c3_1 @ X2 )
        | ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ( c3_1 @ X2 )
        | ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl694,plain,
    ( ( ~ ( c0_1 @ a1195 )
      | ~ ( c2_1 @ a1195 ) )
   <= ( ~ ( c3_1 @ a1195 )
      & ! [X2: $i] :
          ( ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl516,zip_derived_cl204]) ).

thf('14',plain,
    ( ( c3_1 @ a1195 )
    | ~ ( c0_1 @ a1195 )
    | ~ ! [X2: $i] :
          ( ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
    | ~ ( c2_1 @ a1195 ) ),
    inference(split,[status(esa)],[zip_derived_cl694]) ).

thf(zip_derived_cl363_003,plain,
    ( ! [X71: $i] :
        ( ( c0_1 @ X71 )
        | ( c1_1 @ X71 )
        | ~ ( c2_1 @ X71 ) )
   <= ! [X71: $i] :
        ( ( c0_1 @ X71 )
        | ( c1_1 @ X71 )
        | ~ ( c2_1 @ X71 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl114,plain,
    ( ~ hskp15
    | ~ ( c1_1 @ a1195 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl514,plain,
    ( ~ ( c1_1 @ a1195 )
   <= ~ ( c1_1 @ a1195 ) ),
    inference(split,[status(esa)],[zip_derived_cl114]) ).

thf(zip_derived_cl1777,plain,
    ( ( ~ ( c2_1 @ a1195 )
      | ( c0_1 @ a1195 ) )
   <= ( ~ ( c1_1 @ a1195 )
      & ! [X71: $i] :
          ( ( c0_1 @ X71 )
          | ( c1_1 @ X71 )
          | ~ ( c2_1 @ X71 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl363,zip_derived_cl514]) ).

thf('15',plain,
    ( ( c0_1 @ a1195 )
    | ( c1_1 @ a1195 )
    | ~ ! [X71: $i] :
          ( ( c0_1 @ X71 )
          | ( c1_1 @ X71 )
          | ~ ( c2_1 @ X71 ) )
    | ~ ( c2_1 @ a1195 ) ),
    inference(split,[status(esa)],[zip_derived_cl1777]) ).

thf(zip_derived_cl97,plain,
    ( ~ hskp19
    | ( c3_1 @ a1204 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('16',plain,
    ( ( c3_1 @ a1204 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(zip_derived_cl47,plain,
    ! [X67: $i] :
      ( ( c0_1 @ X67 )
      | ( c2_1 @ X67 )
      | ( c3_1 @ X67 )
      | ~ ndr1_0
      | hskp3
      | hskp6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl354,plain,
    ( ! [X67: $i] :
        ( ( c0_1 @ X67 )
        | ( c2_1 @ X67 )
        | ( c3_1 @ X67 ) )
   <= ! [X67: $i] :
        ( ( c0_1 @ X67 )
        | ( c2_1 @ X67 )
        | ( c3_1 @ X67 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(zip_derived_cl171,plain,
    ( ~ hskp1
    | ~ ( c3_1 @ a1169 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl628,plain,
    ( ~ ( c3_1 @ a1169 )
   <= ~ ( c3_1 @ a1169 ) ),
    inference(split,[status(esa)],[zip_derived_cl171]) ).

thf(zip_derived_cl1859,plain,
    ( ( ( c2_1 @ a1169 )
      | ( c0_1 @ a1169 ) )
   <= ( ~ ( c3_1 @ a1169 )
      & ! [X67: $i] :
          ( ( c0_1 @ X67 )
          | ( c2_1 @ X67 )
          | ( c3_1 @ X67 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl354,zip_derived_cl628]) ).

thf('17',plain,
    ( ( c0_1 @ a1169 )
    | ( c3_1 @ a1169 )
    | ~ ! [X67: $i] :
          ( ( c0_1 @ X67 )
          | ( c2_1 @ X67 )
          | ( c3_1 @ X67 ) )
    | ( c2_1 @ a1169 ) ),
    inference(split,[status(esa)],[zip_derived_cl1859]) ).

thf(zip_derived_cl628_004,plain,
    ( ~ ( c3_1 @ a1169 )
   <= ~ ( c3_1 @ a1169 ) ),
    inference(split,[status(esa)],[zip_derived_cl171]) ).

thf(zip_derived_cl14,plain,
    ! [X8: $i] :
      ( ( c2_1 @ X8 )
      | ( c3_1 @ X8 )
      | ~ ( c0_1 @ X8 )
      | ~ ndr1_0
      | hskp9
      | hskp18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl224,plain,
    ( ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl774,plain,
    ( ( ( c2_1 @ a1169 )
      | ~ ( c0_1 @ a1169 ) )
   <= ( ~ ( c3_1 @ a1169 )
      & ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl628,zip_derived_cl224]) ).

thf('18',plain,
    ( ( c2_1 @ a1169 )
    | ( c3_1 @ a1169 )
    | ~ ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 ) )
    | ~ ( c0_1 @ a1169 ) ),
    inference(split,[status(esa)],[zip_derived_cl774]) ).

thf(zip_derived_cl50,plain,
    ! [X73: $i,X74: $i] :
      ( ( c0_1 @ X73 )
      | ( c1_1 @ X73 )
      | ~ ( c2_1 @ X73 )
      | ~ ndr1_0
      | ( c0_1 @ X74 )
      | ( c1_1 @ X74 )
      | ~ ( c3_1 @ X74 )
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl366,plain,
    ( ! [X74: $i] :
        ( ( c0_1 @ X74 )
        | ( c1_1 @ X74 )
        | ~ ( c3_1 @ X74 ) )
   <= ! [X74: $i] :
        ( ( c0_1 @ X74 )
        | ( c1_1 @ X74 )
        | ~ ( c3_1 @ X74 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl482_005,plain,
    ( ~ ( c1_1 @ a1204 )
   <= ~ ( c1_1 @ a1204 ) ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf(zip_derived_cl1816,plain,
    ( ( ~ ( c3_1 @ a1204 )
      | ( c0_1 @ a1204 ) )
   <= ( ~ ( c1_1 @ a1204 )
      & ! [X74: $i] :
          ( ( c0_1 @ X74 )
          | ( c1_1 @ X74 )
          | ~ ( c3_1 @ X74 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl366,zip_derived_cl482]) ).

thf('19',plain,
    ( ~ ! [X74: $i] :
          ( ( c0_1 @ X74 )
          | ( c1_1 @ X74 )
          | ~ ( c3_1 @ X74 ) )
    | ~ ( c3_1 @ a1204 )
    | ( c1_1 @ a1204 )
    | ( c0_1 @ a1204 ) ),
    inference(split,[status(esa)],[zip_derived_cl1816]) ).

thf(zip_derived_cl23,plain,
    ! [X21: $i] :
      ( ( c1_1 @ X21 )
      | ~ ( c0_1 @ X21 )
      | ~ ( c2_1 @ X21 )
      | ~ ndr1_0
      | hskp27
      | hskp18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl260,plain,
    ( ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ~ ( c0_1 @ X21 )
        | ~ ( c2_1 @ X21 ) )
   <= ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ~ ( c0_1 @ X21 )
        | ~ ( c2_1 @ X21 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl468_006,plain,
    ( ~ ( c1_1 @ a1207 )
   <= ~ ( c1_1 @ a1207 ) ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl976,plain,
    ( ( ~ ( c2_1 @ a1207 )
      | ~ ( c0_1 @ a1207 ) )
   <= ( ~ ( c1_1 @ a1207 )
      & ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c2_1 @ X21 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl260,zip_derived_cl468]) ).

thf('20',plain,
    ( ~ ( c0_1 @ a1207 )
    | ~ ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c2_1 @ X21 ) )
    | ( c1_1 @ a1207 )
    | ~ ( c2_1 @ a1207 ) ),
    inference(split,[status(esa)],[zip_derived_cl976]) ).

thf(zip_derived_cl21,plain,
    ! [X17: $i] :
      ( ( c1_1 @ X17 )
      | ~ ( c0_1 @ X17 )
      | ~ ( c3_1 @ X17 )
      | ~ ndr1_0
      | hskp13
      | hskp19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl252,plain,
    ( ! [X17: $i] :
        ( ( c1_1 @ X17 )
        | ~ ( c0_1 @ X17 )
        | ~ ( c3_1 @ X17 ) )
   <= ! [X17: $i] :
        ( ( c1_1 @ X17 )
        | ~ ( c0_1 @ X17 )
        | ~ ( c3_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl468_007,plain,
    ( ~ ( c1_1 @ a1207 )
   <= ~ ( c1_1 @ a1207 ) ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl907,plain,
    ( ( ~ ( c3_1 @ a1207 )
      | ~ ( c0_1 @ a1207 ) )
   <= ( ~ ( c1_1 @ a1207 )
      & ! [X17: $i] :
          ( ( c1_1 @ X17 )
          | ~ ( c0_1 @ X17 )
          | ~ ( c3_1 @ X17 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl252,zip_derived_cl468]) ).

thf('21',plain,
    ( ~ ( c0_1 @ a1207 )
    | ~ ! [X17: $i] :
          ( ( c1_1 @ X17 )
          | ~ ( c0_1 @ X17 )
          | ~ ( c3_1 @ X17 ) )
    | ( c1_1 @ a1207 )
    | ~ ( c3_1 @ a1207 ) ),
    inference(split,[status(esa)],[zip_derived_cl907]) ).

thf(zip_derived_cl90,plain,
    ( ~ hskp21
    | ( c3_1 @ a1207 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl466,plain,
    ( ( c3_1 @ a1207 )
   <= ( c3_1 @ a1207 ) ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl196_008,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl1182,plain,
    ( ( ~ ( c0_1 @ a1207 )
      | ~ ( c2_1 @ a1207 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c3_1 @ a1207 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl466,zip_derived_cl196]) ).

thf('22',plain,
    ( ~ ( c0_1 @ a1207 )
    | ~ ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c2_1 @ a1207 )
    | ~ ( c3_1 @ a1207 ) ),
    inference(split,[status(esa)],[zip_derived_cl1182]) ).

thf(zip_derived_cl366_009,plain,
    ( ! [X74: $i] :
        ( ( c0_1 @ X74 )
        | ( c1_1 @ X74 )
        | ~ ( c3_1 @ X74 ) )
   <= ! [X74: $i] :
        ( ( c0_1 @ X74 )
        | ( c1_1 @ X74 )
        | ~ ( c3_1 @ X74 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl468_010,plain,
    ( ~ ( c1_1 @ a1207 )
   <= ~ ( c1_1 @ a1207 ) ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl1817,plain,
    ( ( ~ ( c3_1 @ a1207 )
      | ( c0_1 @ a1207 ) )
   <= ( ~ ( c1_1 @ a1207 )
      & ! [X74: $i] :
          ( ( c0_1 @ X74 )
          | ( c1_1 @ X74 )
          | ~ ( c3_1 @ X74 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl366,zip_derived_cl468]) ).

thf('23',plain,
    ( ~ ! [X74: $i] :
          ( ( c0_1 @ X74 )
          | ( c1_1 @ X74 )
          | ~ ( c3_1 @ X74 ) )
    | ( c0_1 @ a1207 )
    | ~ ( c3_1 @ a1207 )
    | ( c1_1 @ a1207 ) ),
    inference(split,[status(esa)],[zip_derived_cl1817]) ).

thf(zip_derived_cl89,plain,
    ( ~ hskp21
    | ( c2_1 @ a1207 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('24',plain,
    ( ( c2_1 @ a1207 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf('25',plain,
    ( ( c3_1 @ a1207 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf('26',plain,
    ( ~ ( c1_1 @ a1207 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl1,plain,
    ( hskp6
    | hskp21
    | hskp14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('27',plain,
    ( hskp21
    | hskp14
    | hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl151,plain,
    ( ~ hskp6
    | ~ ( c3_1 @ a1178 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl588,plain,
    ( ~ ( c3_1 @ a1178 )
   <= ~ ( c3_1 @ a1178 ) ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl204_011,plain,
    ( ! [X2: $i] :
        ( ( c3_1 @ X2 )
        | ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ( c3_1 @ X2 )
        | ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl753,plain,
    ( ( ~ ( c0_1 @ a1178 )
      | ~ ( c2_1 @ a1178 ) )
   <= ( ~ ( c3_1 @ a1178 )
      & ! [X2: $i] :
          ( ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl588,zip_derived_cl204]) ).

thf('28',plain,
    ( ( c3_1 @ a1178 )
    | ~ ( c0_1 @ a1178 )
    | ~ ! [X2: $i] :
          ( ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
    | ~ ( c2_1 @ a1178 ) ),
    inference(split,[status(esa)],[zip_derived_cl753]) ).

thf(zip_derived_cl149,plain,
    ( ~ hskp6
    | ( c1_1 @ a1178 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl584,plain,
    ( ( c1_1 @ a1178 )
   <= ( c1_1 @ a1178 ) ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl331_012,plain,
    ( ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ( c3_1 @ X56 )
        | ~ ( c1_1 @ X56 ) )
   <= ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ( c3_1 @ X56 )
        | ~ ( c1_1 @ X56 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl1607,plain,
    ( ( ( c0_1 @ a1178 )
      | ( c3_1 @ a1178 ) )
   <= ( ! [X56: $i] :
          ( ( c0_1 @ X56 )
          | ( c3_1 @ X56 )
          | ~ ( c1_1 @ X56 ) )
      & ( c1_1 @ a1178 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl584,zip_derived_cl331]) ).

thf('29',plain,
    ( ( c3_1 @ a1178 )
    | ~ ( c1_1 @ a1178 )
    | ~ ! [X56: $i] :
          ( ( c0_1 @ X56 )
          | ( c3_1 @ X56 )
          | ~ ( c1_1 @ X56 ) )
    | ( c0_1 @ a1178 ) ),
    inference(split,[status(esa)],[zip_derived_cl1607]) ).

thf(zip_derived_cl163,plain,
    ( ~ hskp3
    | ~ ( c3_1 @ a1174 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl612,plain,
    ( ~ ( c3_1 @ a1174 )
   <= ~ ( c3_1 @ a1174 ) ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl204_013,plain,
    ( ! [X2: $i] :
        ( ( c3_1 @ X2 )
        | ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ( c3_1 @ X2 )
        | ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl769,plain,
    ( ( ~ ( c0_1 @ a1174 )
      | ~ ( c2_1 @ a1174 ) )
   <= ( ~ ( c3_1 @ a1174 )
      & ! [X2: $i] :
          ( ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl612,zip_derived_cl204]) ).

thf('30',plain,
    ( ( c3_1 @ a1174 )
    | ~ ( c2_1 @ a1174 )
    | ~ ! [X2: $i] :
          ( ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
    | ~ ( c0_1 @ a1174 ) ),
    inference(split,[status(esa)],[zip_derived_cl769]) ).

thf(zip_derived_cl10,plain,
    ! [X3: $i] :
      ( ( c3_1 @ X3 )
      | ~ ( c0_1 @ X3 )
      | ~ ( c2_1 @ X3 )
      | ~ ndr1_0
      | hskp22
      | hskp14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('31',plain,
    ( ! [X2: $i] :
        ( ( c3_1 @ X2 )
        | ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 ) )
    | hskp14
    | ~ ndr1_0
    | hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl40,plain,
    ! [X53: $i,X54: $i,X55: $i] :
      ( ( c0_1 @ X53 )
      | ( c3_1 @ X53 )
      | ~ ( c2_1 @ X53 )
      | ~ ndr1_0
      | ( c2_1 @ X54 )
      | ( c3_1 @ X54 )
      | ~ ( c0_1 @ X54 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X55 )
      | ~ ( c1_1 @ X55 )
      | ~ ( c2_1 @ X55 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl328,plain,
    ( ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ( c3_1 @ X53 )
        | ~ ( c2_1 @ X53 ) )
   <= ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ( c3_1 @ X53 )
        | ~ ( c2_1 @ X53 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl861,plain,
    ( ~ ( c3_1 @ a1194 )
   <= ~ ( c3_1 @ a1194 ) ),
    inference(split,[status(esa)],[zip_derived_cl828]) ).

thf(zip_derived_cl1714,plain,
    ( ( ~ ( c2_1 @ a1194 )
      | ( c0_1 @ a1194 ) )
   <= ( ~ ( c3_1 @ a1194 )
      & ! [X53: $i] :
          ( ( c0_1 @ X53 )
          | ( c3_1 @ X53 )
          | ~ ( c2_1 @ X53 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl328,zip_derived_cl861]) ).

thf('32',plain,
    ( ~ ! [X53: $i] :
          ( ( c0_1 @ X53 )
          | ( c3_1 @ X53 )
          | ~ ( c2_1 @ X53 ) )
    | ( c3_1 @ a1194 )
    | ( c0_1 @ a1194 )
    | ~ ( c2_1 @ a1194 ) ),
    inference(split,[status(esa)],[zip_derived_cl1714]) ).

thf(zip_derived_cl54,plain,
    ! [X81: $i,X82: $i,X83: $i] :
      ( ( c0_1 @ X81 )
      | ( c1_1 @ X81 )
      | ( c3_1 @ X81 )
      | ~ ndr1_0
      | ( c0_1 @ X82 )
      | ( c3_1 @ X82 )
      | ~ ( c2_1 @ X82 )
      | ~ ndr1_0
      | ( c0_1 @ X83 )
      | ~ ( c2_1 @ X83 )
      | ~ ( c3_1 @ X83 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('33',plain,
    ( ! [X78: $i] :
        ( ( c0_1 @ X78 )
        | ( c1_1 @ X78 )
        | ( c3_1 @ X78 ) )
    | ! [X83: $i] :
        ( ( c0_1 @ X83 )
        | ~ ( c2_1 @ X83 )
        | ~ ( c3_1 @ X83 ) )
    | ~ ndr1_0
    | ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ( c3_1 @ X53 )
        | ~ ( c2_1 @ X53 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf(zip_derived_cl165,plain,
    ( ~ hskp2
    | ( c2_1 @ a1172 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('34',plain,
    ( ( c2_1 @ a1172 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl166,plain,
    ( ~ hskp2
    | ( c3_1 @ a1172 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('35',plain,
    ( ( c3_1 @ a1172 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl166]) ).

thf(zip_derived_cl167,plain,
    ( ~ hskp2
    | ~ ( c0_1 @ a1172 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('36',plain,
    ( ~ ( c0_1 @ a1172 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl167]) ).

thf(zip_derived_cl618,plain,
    ( ( c3_1 @ a1172 )
   <= ( c3_1 @ a1172 ) ),
    inference(split,[status(esa)],[zip_derived_cl166]) ).

thf(zip_derived_cl382,plain,
    ( ! [X83: $i] :
        ( ( c0_1 @ X83 )
        | ~ ( c2_1 @ X83 )
        | ~ ( c3_1 @ X83 ) )
   <= ! [X83: $i] :
        ( ( c0_1 @ X83 )
        | ~ ( c2_1 @ X83 )
        | ~ ( c3_1 @ X83 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf(zip_derived_cl1521,plain,
    ( ( ( c0_1 @ a1172 )
      | ~ ( c2_1 @ a1172 ) )
   <= ( ! [X83: $i] :
          ( ( c0_1 @ X83 )
          | ~ ( c2_1 @ X83 )
          | ~ ( c3_1 @ X83 ) )
      & ( c3_1 @ a1172 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl618,zip_derived_cl382]) ).

thf('37',plain,
    ( ~ ! [X83: $i] :
          ( ( c0_1 @ X83 )
          | ~ ( c2_1 @ X83 )
          | ~ ( c3_1 @ X83 ) )
    | ~ ( c2_1 @ a1172 )
    | ~ ( c3_1 @ a1172 )
    | ( c0_1 @ a1172 ) ),
    inference(split,[status(esa)],[zip_derived_cl1521]) ).

thf(zip_derived_cl74,plain,
    ( ~ hskp25
    | ( c2_1 @ a1182 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('38',plain,
    ( ( c2_1 @ a1182 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl74]) ).

thf(zip_derived_cl121,plain,
    ( ~ hskp13
    | ( c1_1 @ a1192 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl528,plain,
    ( ( c1_1 @ a1192 )
   <= ( c1_1 @ a1192 ) ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl331_014,plain,
    ( ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ( c3_1 @ X56 )
        | ~ ( c1_1 @ X56 ) )
   <= ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ( c3_1 @ X56 )
        | ~ ( c1_1 @ X56 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl1609,plain,
    ( ( ( c0_1 @ a1192 )
      | ( c3_1 @ a1192 ) )
   <= ( ! [X56: $i] :
          ( ( c0_1 @ X56 )
          | ( c3_1 @ X56 )
          | ~ ( c1_1 @ X56 ) )
      & ( c1_1 @ a1192 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl528,zip_derived_cl331]) ).

thf('39',plain,
    ( ( c3_1 @ a1192 )
    | ( c0_1 @ a1192 )
    | ~ ! [X56: $i] :
          ( ( c0_1 @ X56 )
          | ( c3_1 @ X56 )
          | ~ ( c1_1 @ X56 ) )
    | ~ ( c1_1 @ a1192 ) ),
    inference(split,[status(esa)],[zip_derived_cl1609]) ).

thf(zip_derived_cl3,plain,
    ( hskp17
    | hskp13
    | hskp2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('40',plain,
    ( hskp13
    | hskp2
    | hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl8,plain,
    ! [X1: $i] :
      ( ~ ( c0_1 @ X1 )
      | ~ ( c2_1 @ X1 )
      | ~ ( c3_1 @ X1 )
      | ~ ndr1_0
      | hskp22
      | hskp2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('41',plain,
    ( hskp2
    | ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | hskp22
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl75,plain,
    ( ~ hskp25
    | ( c3_1 @ a1182 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl436,plain,
    ( ( c3_1 @ a1182 )
   <= ( c3_1 @ a1182 ) ),
    inference(split,[status(esa)],[zip_derived_cl75]) ).

thf(zip_derived_cl196_015,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl1161,plain,
    ( ( ~ ( c0_1 @ a1182 )
      | ~ ( c2_1 @ a1182 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c3_1 @ a1182 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl436,zip_derived_cl196]) ).

thf('42',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c0_1 @ a1182 )
    | ~ ( c3_1 @ a1182 )
    | ~ ( c2_1 @ a1182 ) ),
    inference(split,[status(esa)],[zip_derived_cl1161]) ).

thf(zip_derived_cl174,plain,
    ( ~ hskp0
    | ( c1_1 @ a1168 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl634,plain,
    ( ( c1_1 @ a1168 )
   <= ( c1_1 @ a1168 ) ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf(zip_derived_cl11,plain,
    ! [X4: $i] :
      ( ( c2_1 @ X4 )
      | ~ ( c1_1 @ X4 )
      | ~ ( c3_1 @ X4 )
      | ~ ndr1_0
      | hskp26
      | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl212,plain,
    ( ! [X4: $i] :
        ( ( c2_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c3_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c2_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c3_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl1334,plain,
    ( ( ( c2_1 @ a1168 )
      | ~ ( c3_1 @ a1168 ) )
   <= ( ! [X4: $i] :
          ( ( c2_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c3_1 @ X4 ) )
      & ( c1_1 @ a1168 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl634,zip_derived_cl212]) ).

thf('43',plain,
    ( ~ ! [X4: $i] :
          ( ( c2_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c3_1 @ X4 ) )
    | ~ ( c3_1 @ a1168 )
    | ~ ( c1_1 @ a1168 )
    | ( c2_1 @ a1168 ) ),
    inference(split,[status(esa)],[zip_derived_cl1334]) ).

thf(zip_derived_cl634_016,plain,
    ( ( c1_1 @ a1168 )
   <= ( c1_1 @ a1168 ) ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf(zip_derived_cl12,plain,
    ! [X5: $i,X6: $i] :
      ( ( c2_1 @ X5 )
      | ~ ( c0_1 @ X5 )
      | ~ ( c1_1 @ X5 )
      | ~ ndr1_0
      | ( c3_1 @ X6 )
      | ~ ( c0_1 @ X6 )
      | ~ ( c1_1 @ X6 )
      | ~ ndr1_0
      | hskp25 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl216,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_cl12]) ).

thf(zip_derived_cl1336,plain,
    ( ( ( c3_1 @ a1168 )
      | ~ ( c0_1 @ a1168 ) )
   <= ( ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c1_1 @ X6 ) )
      & ( c1_1 @ a1168 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl634,zip_derived_cl216]) ).

thf(zip_derived_cl4288,plain,
    ( ( c3_1 @ a1168 )
   <= ( c3_1 @ a1168 ) ),
    inference(split,[status(esa)],[zip_derived_cl1336]) ).

thf(zip_derived_cl57,plain,
    ! [X88: $i,X89: $i] :
      ( ( c0_1 @ X88 )
      | ( c1_1 @ X88 )
      | ( c2_1 @ X88 )
      | ~ ndr1_0
      | ( c2_1 @ X89 )
      | ~ ( c0_1 @ X89 )
      | ~ ( c3_1 @ X89 )
      | ~ ndr1_0
      | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl394,plain,
    ( ! [X89: $i] :
        ( ( c2_1 @ X89 )
        | ~ ( c0_1 @ X89 )
        | ~ ( c3_1 @ X89 ) )
   <= ! [X89: $i] :
        ( ( c2_1 @ X89 )
        | ~ ( c0_1 @ X89 )
        | ~ ( c3_1 @ X89 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf(zip_derived_cl4310,plain,
    ( ( ( c2_1 @ a1168 )
      | ~ ( c0_1 @ a1168 ) )
   <= ( ! [X89: $i] :
          ( ( c2_1 @ X89 )
          | ~ ( c0_1 @ X89 )
          | ~ ( c3_1 @ X89 ) )
      & ( c3_1 @ a1168 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4288,zip_derived_cl394]) ).

thf('44',plain,
    ( ~ ! [X89: $i] :
          ( ( c2_1 @ X89 )
          | ~ ( c0_1 @ X89 )
          | ~ ( c3_1 @ X89 ) )
    | ~ ( c3_1 @ a1168 )
    | ( c2_1 @ a1168 )
    | ~ ( c0_1 @ a1168 ) ),
    inference(split,[status(esa)],[zip_derived_cl4310]) ).

thf(zip_derived_cl55,plain,
    ! [X84: $i,X85: $i] :
      ( ( c0_1 @ X84 )
      | ( c1_1 @ X84 )
      | ( c3_1 @ X84 )
      | ~ ndr1_0
      | ( c0_1 @ X85 )
      | ( c1_1 @ X85 )
      | ~ ( c2_1 @ X85 )
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('45',plain,
    ( ! [X78: $i] :
        ( ( c0_1 @ X78 )
        | ( c1_1 @ X78 )
        | ( c3_1 @ X78 ) )
    | ! [X71: $i] :
        ( ( c0_1 @ X71 )
        | ( c1_1 @ X71 )
        | ~ ( c2_1 @ X71 ) )
    | ~ ndr1_0
    | hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf(zip_derived_cl52,plain,
    ! [X78: $i] :
      ( ( c0_1 @ X78 )
      | ( c1_1 @ X78 )
      | ( c3_1 @ X78 )
      | ~ ndr1_0
      | hskp0
      | hskp3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl374,plain,
    ( ! [X78: $i] :
        ( ( c0_1 @ X78 )
        | ( c1_1 @ X78 )
        | ( c3_1 @ X78 ) )
   <= ! [X78: $i] :
        ( ( c0_1 @ X78 )
        | ( c1_1 @ X78 )
        | ( c3_1 @ X78 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl524_017,plain,
    ( ~ ( c1_1 @ a1194 )
   <= ~ ( c1_1 @ a1194 ) ),
    inference(split,[status(esa)],[zip_derived_cl119]) ).

thf(zip_derived_cl1992,plain,
    ( ( ( c3_1 @ a1194 )
      | ( c0_1 @ a1194 ) )
   <= ( ~ ( c1_1 @ a1194 )
      & ! [X78: $i] :
          ( ( c0_1 @ X78 )
          | ( c1_1 @ X78 )
          | ( c3_1 @ X78 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl374,zip_derived_cl524]) ).

thf('46',plain,
    ( ( c3_1 @ a1194 )
    | ( c1_1 @ a1194 )
    | ~ ! [X78: $i] :
          ( ( c0_1 @ X78 )
          | ( c1_1 @ X78 )
          | ( c3_1 @ X78 ) )
    | ( c0_1 @ a1194 ) ),
    inference(split,[status(esa)],[zip_derived_cl1992]) ).

thf(zip_derived_cl159,plain,
    ( ~ hskp4
    | ~ ( c0_1 @ a1175 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('47',plain,
    ( ~ ( c0_1 @ a1175 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl354_018,plain,
    ( ! [X67: $i] :
        ( ( c0_1 @ X67 )
        | ( c2_1 @ X67 )
        | ( c3_1 @ X67 ) )
   <= ! [X67: $i] :
        ( ( c0_1 @ X67 )
        | ( c2_1 @ X67 )
        | ( c3_1 @ X67 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(zip_derived_cl528_019,plain,
    ( ( c1_1 @ a1192 )
   <= ( c1_1 @ a1192 ) ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl17,plain,
    ! [X11: $i,X12: $i] :
      ( ( c2_1 @ X11 )
      | ( c3_1 @ X11 )
      | ~ ( c0_1 @ X11 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X12 )
      | ~ ( c1_1 @ X12 )
      | ~ ( c3_1 @ X12 )
      | ~ ndr1_0
      | hskp13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl236,plain,
    ( ! [X12: $i] :
        ( ~ ( c0_1 @ X12 )
        | ~ ( c1_1 @ X12 )
        | ~ ( c3_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ~ ( c0_1 @ X12 )
        | ~ ( c1_1 @ X12 )
        | ~ ( c3_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl1258,plain,
    ( ( ~ ( c0_1 @ a1192 )
      | ~ ( c3_1 @ a1192 ) )
   <= ( ! [X12: $i] :
          ( ~ ( c0_1 @ X12 )
          | ~ ( c1_1 @ X12 )
          | ~ ( c3_1 @ X12 ) )
      & ( c1_1 @ a1192 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl528,zip_derived_cl236]) ).

thf(zip_derived_cl1577,plain,
    ( ~ ( c3_1 @ a1192 )
   <= ~ ( c3_1 @ a1192 ) ),
    inference(split,[status(esa)],[zip_derived_cl1258]) ).

thf(zip_derived_cl1869,plain,
    ( ( ( c2_1 @ a1192 )
      | ( c0_1 @ a1192 ) )
   <= ( ~ ( c3_1 @ a1192 )
      & ! [X67: $i] :
          ( ( c0_1 @ X67 )
          | ( c2_1 @ X67 )
          | ( c3_1 @ X67 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl354,zip_derived_cl1577]) ).

thf('48',plain,
    ( ( c3_1 @ a1192 )
    | ( c2_1 @ a1192 )
    | ~ ! [X67: $i] :
          ( ( c0_1 @ X67 )
          | ( c2_1 @ X67 )
          | ( c3_1 @ X67 ) )
    | ( c0_1 @ a1192 ) ),
    inference(split,[status(esa)],[zip_derived_cl1869]) ).

thf('49',plain,
    ( ( c1_1 @ a1192 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl122,plain,
    ( ~ hskp13
    | ~ ( c0_1 @ a1192 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('50',plain,
    ( ~ ( c0_1 @ a1192 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl22,plain,
    ! [X18: $i,X19: $i,X20: $i] :
      ( ( c1_1 @ X18 )
      | ~ ( c0_1 @ X18 )
      | ~ ( c3_1 @ X18 )
      | ~ ndr1_0
      | ( c2_1 @ X19 )
      | ( c3_1 @ X19 )
      | ~ ( c1_1 @ X19 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X20 )
      | ~ ( c1_1 @ X20 )
      | ~ ( c2_1 @ X20 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('51',plain,
    ( ! [X17: $i] :
        ( ( c1_1 @ X17 )
        | ~ ( c0_1 @ X17 )
        | ~ ( c3_1 @ X17 ) )
    | ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ( c3_1 @ X7 )
        | ~ ( c1_1 @ X7 ) )
    | ~ ndr1_0
    | ! [X20: $i] :
        ( ~ ( c0_1 @ X20 )
        | ~ ( c1_1 @ X20 )
        | ~ ( c2_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl65,plain,
    ( ~ hskp27
    | ( c0_1 @ a1201 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('52',plain,
    ( ( c0_1 @ a1201 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl65]) ).

thf(zip_derived_cl66,plain,
    ( ~ hskp27
    | ( c1_1 @ a1201 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('53',plain,
    ( ( c1_1 @ a1201 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf(zip_derived_cl67,plain,
    ( ~ hskp27
    | ( c2_1 @ a1201 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('54',plain,
    ( ( c2_1 @ a1201 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl67]) ).

thf(zip_derived_cl418,plain,
    ( ( c1_1 @ a1201 )
   <= ( c1_1 @ a1201 ) ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf(zip_derived_cl256,plain,
    ( ! [X20: $i] :
        ( ~ ( c0_1 @ X20 )
        | ~ ( c1_1 @ X20 )
        | ~ ( c2_1 @ X20 ) )
   <= ! [X20: $i] :
        ( ~ ( c0_1 @ X20 )
        | ~ ( c1_1 @ X20 )
        | ~ ( c2_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl1143,plain,
    ( ( ~ ( c0_1 @ a1201 )
      | ~ ( c2_1 @ a1201 ) )
   <= ( ! [X20: $i] :
          ( ~ ( c0_1 @ X20 )
          | ~ ( c1_1 @ X20 )
          | ~ ( c2_1 @ X20 ) )
      & ( c1_1 @ a1201 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl418,zip_derived_cl256]) ).

thf('55',plain,
    ( ~ ! [X20: $i] :
          ( ~ ( c0_1 @ X20 )
          | ~ ( c1_1 @ X20 )
          | ~ ( c2_1 @ X20 ) )
    | ~ ( c1_1 @ a1201 )
    | ~ ( c2_1 @ a1201 )
    | ~ ( c0_1 @ a1201 ) ),
    inference(split,[status(esa)],[zip_derived_cl1143]) ).

thf('56',plain,
    ( hskp27
    | ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ~ ( c0_1 @ X21 )
        | ~ ( c2_1 @ X21 ) )
    | hskp18
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl86,plain,
    ( ~ hskp22
    | ( c3_1 @ a1211 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl458,plain,
    ( ( c3_1 @ a1211 )
   <= ( c3_1 @ a1211 ) ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf(zip_derived_cl196_020,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl1177,plain,
    ( ( ~ ( c0_1 @ a1211 )
      | ~ ( c2_1 @ a1211 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c3_1 @ a1211 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl458,zip_derived_cl196]) ).

thf('57',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c2_1 @ a1211 )
    | ~ ( c0_1 @ a1211 )
    | ~ ( c3_1 @ a1211 ) ),
    inference(split,[status(esa)],[zip_derived_cl1177]) ).

thf(zip_derived_cl528_021,plain,
    ( ( c1_1 @ a1192 )
   <= ( c1_1 @ a1192 ) ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl35,plain,
    ! [X42: $i] :
      ( ( c0_1 @ X42 )
      | ~ ( c1_1 @ X42 )
      | ~ ( c3_1 @ X42 )
      | ~ ndr1_0
      | hskp5
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl306,plain,
    ( ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c3_1 @ X42 ) )
   <= ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c3_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl1358,plain,
    ( ( ( c0_1 @ a1192 )
      | ~ ( c3_1 @ a1192 ) )
   <= ( ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ~ ( c1_1 @ X42 )
          | ~ ( c3_1 @ X42 ) )
      & ( c1_1 @ a1192 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl528,zip_derived_cl306]) ).

thf('58',plain,
    ( ~ ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ~ ( c1_1 @ X42 )
          | ~ ( c3_1 @ X42 ) )
    | ~ ( c3_1 @ a1192 )
    | ( c0_1 @ a1192 )
    | ~ ( c1_1 @ a1192 ) ),
    inference(split,[status(esa)],[zip_derived_cl1358]) ).

thf('59',plain,
    ( ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 ) )
    | hskp9
    | ~ ndr1_0
    | hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl137,plain,
    ( ~ hskp9
    | ( c0_1 @ a1181 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('60',plain,
    ( ( c0_1 @ a1181 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(zip_derived_cl138,plain,
    ( ~ hskp9
    | ( c3_1 @ a1181 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('61',plain,
    ( ( c3_1 @ a1181 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf(zip_derived_cl139,plain,
    ( ~ hskp9
    | ~ ( c2_1 @ a1181 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('62',plain,
    ( ~ ( c2_1 @ a1181 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf(zip_derived_cl562,plain,
    ( ( c3_1 @ a1181 )
   <= ( c3_1 @ a1181 ) ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf(zip_derived_cl394_022,plain,
    ( ! [X89: $i] :
        ( ( c2_1 @ X89 )
        | ~ ( c0_1 @ X89 )
        | ~ ( c3_1 @ X89 ) )
   <= ! [X89: $i] :
        ( ( c2_1 @ X89 )
        | ~ ( c0_1 @ X89 )
        | ~ ( c3_1 @ X89 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf(zip_derived_cl1539,plain,
    ( ( ( c2_1 @ a1181 )
      | ~ ( c0_1 @ a1181 ) )
   <= ( ! [X89: $i] :
          ( ( c2_1 @ X89 )
          | ~ ( c0_1 @ X89 )
          | ~ ( c3_1 @ X89 ) )
      & ( c3_1 @ a1181 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl562,zip_derived_cl394]) ).

thf('63',plain,
    ( ~ ! [X89: $i] :
          ( ( c2_1 @ X89 )
          | ~ ( c0_1 @ X89 )
          | ~ ( c3_1 @ X89 ) )
    | ~ ( c3_1 @ a1181 )
    | ( c2_1 @ a1181 )
    | ~ ( c0_1 @ a1181 ) ),
    inference(split,[status(esa)],[zip_derived_cl1539]) ).

thf(zip_derived_cl102,plain,
    ( ~ hskp18
    | ( c3_1 @ a1202 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('64',plain,
    ( ( c3_1 @ a1202 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl102]) ).

thf(zip_derived_cl101,plain,
    ( ~ hskp18
    | ( c1_1 @ a1202 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('65',plain,
    ( ( c1_1 @ a1202 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf(zip_derived_cl103,plain,
    ( ~ hskp18
    | ~ ( c0_1 @ a1202 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('66',plain,
    ( ~ ( c0_1 @ a1202 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl103]) ).

thf(zip_derived_cl488,plain,
    ( ( c1_1 @ a1202 )
   <= ( c1_1 @ a1202 ) ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf(zip_derived_cl306_023,plain,
    ( ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c3_1 @ X42 ) )
   <= ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c3_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl1359,plain,
    ( ( ( c0_1 @ a1202 )
      | ~ ( c3_1 @ a1202 ) )
   <= ( ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ~ ( c1_1 @ X42 )
          | ~ ( c3_1 @ X42 ) )
      & ( c1_1 @ a1202 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl488,zip_derived_cl306]) ).

thf('67',plain,
    ( ~ ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ~ ( c1_1 @ X42 )
          | ~ ( c3_1 @ X42 ) )
    | ~ ( c1_1 @ a1202 )
    | ( c0_1 @ a1202 )
    | ~ ( c3_1 @ a1202 ) ),
    inference(split,[status(esa)],[zip_derived_cl1359]) ).

thf(zip_derived_cl37,plain,
    ! [X46: $i,X47: $i] :
      ( ( c0_1 @ X46 )
      | ~ ( c1_1 @ X46 )
      | ~ ( c3_1 @ X46 )
      | ~ ndr1_0
      | ( c1_1 @ X47 )
      | ~ ( c0_1 @ X47 )
      | ~ ( c2_1 @ X47 )
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('68',plain,
    ( ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ~ ( c0_1 @ X21 )
        | ~ ( c2_1 @ X21 ) )
    | hskp12
    | ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c3_1 @ X42 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl48,plain,
    ! [X68: $i,X69: $i,X70: $i] :
      ( ( c0_1 @ X68 )
      | ( c2_1 @ X68 )
      | ( c3_1 @ X68 )
      | ~ ndr1_0
      | ( c1_1 @ X69 )
      | ~ ( c0_1 @ X69 )
      | ~ ( c2_1 @ X69 )
      | ~ ndr1_0
      | ( c1_1 @ X70 )
      | ~ ( c0_1 @ X70 )
      | ~ ( c3_1 @ X70 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('69',plain,
    ( ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ~ ( c0_1 @ X21 )
        | ~ ( c2_1 @ X21 ) )
    | ! [X17: $i] :
        ( ( c1_1 @ X17 )
        | ~ ( c0_1 @ X17 )
        | ~ ( c3_1 @ X17 ) )
    | ~ ndr1_0
    | ! [X67: $i] :
        ( ( c0_1 @ X67 )
        | ( c2_1 @ X67 )
        | ( c3_1 @ X67 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl366_024,plain,
    ( ! [X74: $i] :
        ( ( c0_1 @ X74 )
        | ( c1_1 @ X74 )
        | ~ ( c3_1 @ X74 ) )
   <= ! [X74: $i] :
        ( ( c0_1 @ X74 )
        | ( c1_1 @ X74 )
        | ~ ( c3_1 @ X74 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl524_025,plain,
    ( ~ ( c1_1 @ a1194 )
   <= ~ ( c1_1 @ a1194 ) ),
    inference(split,[status(esa)],[zip_derived_cl119]) ).

thf(zip_derived_cl1813,plain,
    ( ( ~ ( c3_1 @ a1194 )
      | ( c0_1 @ a1194 ) )
   <= ( ~ ( c1_1 @ a1194 )
      & ! [X74: $i] :
          ( ( c0_1 @ X74 )
          | ( c1_1 @ X74 )
          | ~ ( c3_1 @ X74 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl366,zip_derived_cl524]) ).

thf('70',plain,
    ( ~ ! [X74: $i] :
          ( ( c0_1 @ X74 )
          | ( c1_1 @ X74 )
          | ~ ( c3_1 @ X74 ) )
    | ~ ( c3_1 @ a1194 )
    | ( c0_1 @ a1194 )
    | ( c1_1 @ a1194 ) ),
    inference(split,[status(esa)],[zip_derived_cl1813]) ).

thf(zip_derived_cl34,plain,
    ! [X40: $i,X41: $i] :
      ( ( c1_1 @ X40 )
      | ( c2_1 @ X40 )
      | ( c3_1 @ X40 )
      | ~ ndr1_0
      | ( c1_1 @ X41 )
      | ( c3_1 @ X41 )
      | ~ ( c2_1 @ X41 )
      | ~ ndr1_0
      | hskp26 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl302,plain,
    ( ! [X41: $i] :
        ( ( c1_1 @ X41 )
        | ( c3_1 @ X41 )
        | ~ ( c2_1 @ X41 ) )
   <= ! [X41: $i] :
        ( ( c1_1 @ X41 )
        | ( c3_1 @ X41 )
        | ~ ( c2_1 @ X41 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl524_026,plain,
    ( ~ ( c1_1 @ a1194 )
   <= ~ ( c1_1 @ a1194 ) ),
    inference(split,[status(esa)],[zip_derived_cl119]) ).

thf(zip_derived_cl1393,plain,
    ( ( ~ ( c2_1 @ a1194 )
      | ( c3_1 @ a1194 ) )
   <= ( ~ ( c1_1 @ a1194 )
      & ! [X41: $i] :
          ( ( c1_1 @ X41 )
          | ( c3_1 @ X41 )
          | ~ ( c2_1 @ X41 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl302,zip_derived_cl524]) ).

thf('71',plain,
    ( ( c3_1 @ a1194 )
    | ~ ! [X41: $i] :
          ( ( c1_1 @ X41 )
          | ( c3_1 @ X41 )
          | ~ ( c2_1 @ X41 ) )
    | ( c1_1 @ a1194 )
    | ~ ( c2_1 @ a1194 ) ),
    inference(split,[status(esa)],[zip_derived_cl1393]) ).

thf(zip_derived_cl33,plain,
    ! [X38: $i,X39: $i] :
      ( ( c1_1 @ X38 )
      | ( c2_1 @ X38 )
      | ( c3_1 @ X38 )
      | ~ ndr1_0
      | ( c2_1 @ X39 )
      | ~ ( c0_1 @ X39 )
      | ~ ( c1_1 @ X39 )
      | ~ ndr1_0
      | hskp6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('72',plain,
    ( ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c2_1 @ X33 )
        | ( c3_1 @ X33 ) )
    | ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 ) )
    | hskp6
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl30,plain,
    ! [X33: $i] :
      ( ( c1_1 @ X33 )
      | ( c2_1 @ X33 )
      | ( c3_1 @ X33 )
      | ~ ndr1_0
      | hskp14
      | hskp15 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl286,plain,
    ( ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c2_1 @ X33 )
        | ( c3_1 @ X33 ) )
   <= ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c2_1 @ X33 )
        | ( c3_1 @ X33 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl106,plain,
    ( ~ hskp17
    | ~ ( c1_1 @ a1200 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl498,plain,
    ( ~ ( c1_1 @ a1200 )
   <= ~ ( c1_1 @ a1200 ) ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(zip_derived_cl1199,plain,
    ( ( ( c3_1 @ a1200 )
      | ( c2_1 @ a1200 ) )
   <= ( ~ ( c1_1 @ a1200 )
      & ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ( c2_1 @ X33 )
          | ( c3_1 @ X33 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl286,zip_derived_cl498]) ).

thf('73',plain,
    ( ( c1_1 @ a1200 )
    | ( c2_1 @ a1200 )
    | ~ ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ( c2_1 @ X33 )
          | ( c3_1 @ X33 ) )
    | ( c3_1 @ a1200 ) ),
    inference(split,[status(esa)],[zip_derived_cl1199]) ).

thf(zip_derived_cl252_027,plain,
    ( ! [X17: $i] :
        ( ( c1_1 @ X17 )
        | ~ ( c0_1 @ X17 )
        | ~ ( c3_1 @ X17 ) )
   <= ! [X17: $i] :
        ( ( c1_1 @ X17 )
        | ~ ( c0_1 @ X17 )
        | ~ ( c3_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl498_028,plain,
    ( ~ ( c1_1 @ a1200 )
   <= ~ ( c1_1 @ a1200 ) ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(zip_derived_cl905,plain,
    ( ( ~ ( c3_1 @ a1200 )
      | ~ ( c0_1 @ a1200 ) )
   <= ( ~ ( c1_1 @ a1200 )
      & ! [X17: $i] :
          ( ( c1_1 @ X17 )
          | ~ ( c0_1 @ X17 )
          | ~ ( c3_1 @ X17 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl252,zip_derived_cl498]) ).

thf('74',plain,
    ( ( c1_1 @ a1200 )
    | ~ ( c3_1 @ a1200 )
    | ~ ! [X17: $i] :
          ( ( c1_1 @ X17 )
          | ~ ( c0_1 @ X17 )
          | ~ ( c3_1 @ X17 ) )
    | ~ ( c0_1 @ a1200 ) ),
    inference(split,[status(esa)],[zip_derived_cl905]) ).

thf(zip_derived_cl612_029,plain,
    ( ~ ( c3_1 @ a1174 )
   <= ~ ( c3_1 @ a1174 ) ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl224_030,plain,
    ( ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl770,plain,
    ( ( ( c2_1 @ a1174 )
      | ~ ( c0_1 @ a1174 ) )
   <= ( ~ ( c3_1 @ a1174 )
      & ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl612,zip_derived_cl224]) ).

thf('75',plain,
    ( ( c3_1 @ a1174 )
    | ( c2_1 @ a1174 )
    | ~ ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 ) )
    | ~ ( c0_1 @ a1174 ) ),
    inference(split,[status(esa)],[zip_derived_cl770]) ).

thf(zip_derived_cl162,plain,
    ( ~ hskp3
    | ( c1_1 @ a1174 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl610,plain,
    ( ( c1_1 @ a1174 )
   <= ( c1_1 @ a1174 ) ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf(zip_derived_cl310,plain,
    ( ! [X45: $i] :
        ( ( c3_1 @ X45 )
        | ~ ( c1_1 @ X45 )
        | ~ ( c2_1 @ X45 ) )
   <= ! [X45: $i] :
        ( ( c3_1 @ X45 )
        | ~ ( c1_1 @ X45 )
        | ~ ( c2_1 @ X45 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl1433,plain,
    ( ( ( c3_1 @ a1174 )
      | ~ ( c2_1 @ a1174 ) )
   <= ( ! [X45: $i] :
          ( ( c3_1 @ X45 )
          | ~ ( c1_1 @ X45 )
          | ~ ( c2_1 @ X45 ) )
      & ( c1_1 @ a1174 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl610,zip_derived_cl310]) ).

thf('76',plain,
    ( ( c3_1 @ a1174 )
    | ~ ( c2_1 @ a1174 )
    | ~ ! [X45: $i] :
          ( ( c3_1 @ X45 )
          | ~ ( c1_1 @ X45 )
          | ~ ( c2_1 @ X45 ) )
    | ~ ( c1_1 @ a1174 ) ),
    inference(split,[status(esa)],[zip_derived_cl1433]) ).

thf(zip_derived_cl26,plain,
    ! [X25: $i,X26: $i] :
      ( ( c1_1 @ X25 )
      | ( c2_1 @ X25 )
      | ~ ( c3_1 @ X25 )
      | ~ ndr1_0
      | ( c3_1 @ X26 )
      | ~ ( c0_1 @ X26 )
      | ~ ( c1_1 @ X26 )
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('77',plain,
    ( ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c1_1 @ X6 ) )
    | ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ( c2_1 @ X24 )
        | ~ ( c3_1 @ X24 ) )
    | ~ ndr1_0
    | hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl29,plain,
    ! [X30: $i,X31: $i,X32: $i] :
      ( ( c1_1 @ X30 )
      | ( c2_1 @ X30 )
      | ~ ( c0_1 @ X30 )
      | ~ ndr1_0
      | ( c1_1 @ X31 )
      | ~ ( c0_1 @ X31 )
      | ~ ( c3_1 @ X31 )
      | ~ ndr1_0
      | ( c2_1 @ X32 )
      | ~ ( c0_1 @ X32 )
      | ~ ( c1_1 @ X32 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('78',plain,
    ( ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ( c2_1 @ X27 )
        | ~ ( c0_1 @ X27 ) )
    | ! [X17: $i] :
        ( ( c1_1 @ X17 )
        | ~ ( c0_1 @ X17 )
        | ~ ( c3_1 @ X17 ) )
    | ~ ndr1_0
    | ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl244_031,plain,
    ( ! [X15: $i] :
        ( ( c1_1 @ X15 )
        | ~ ( c2_1 @ X15 )
        | ~ ( c3_1 @ X15 ) )
   <= ! [X15: $i] :
        ( ( c1_1 @ X15 )
        | ~ ( c2_1 @ X15 )
        | ~ ( c3_1 @ X15 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl79,plain,
    ( ~ hskp24
    | ~ ( c1_1 @ a1232 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl444,plain,
    ( ~ ( c1_1 @ a1232 )
   <= ~ ( c1_1 @ a1232 ) ),
    inference(split,[status(esa)],[zip_derived_cl79]) ).

thf(zip_derived_cl835,plain,
    ( ( ~ ( c3_1 @ a1232 )
      | ~ ( c2_1 @ a1232 ) )
   <= ( ~ ( c1_1 @ a1232 )
      & ! [X15: $i] :
          ( ( c1_1 @ X15 )
          | ~ ( c2_1 @ X15 )
          | ~ ( c3_1 @ X15 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl244,zip_derived_cl444]) ).

thf('79',plain,
    ( ~ ! [X15: $i] :
          ( ( c1_1 @ X15 )
          | ~ ( c2_1 @ X15 )
          | ~ ( c3_1 @ X15 ) )
    | ~ ( c2_1 @ a1232 )
    | ~ ( c3_1 @ a1232 )
    | ( c1_1 @ a1232 ) ),
    inference(split,[status(esa)],[zip_derived_cl835]) ).

thf(zip_derived_cl244_032,plain,
    ( ! [X15: $i] :
        ( ( c1_1 @ X15 )
        | ~ ( c2_1 @ X15 )
        | ~ ( c3_1 @ X15 ) )
   <= ! [X15: $i] :
        ( ( c1_1 @ X15 )
        | ~ ( c2_1 @ X15 )
        | ~ ( c3_1 @ X15 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl87,plain,
    ( ~ hskp22
    | ~ ( c1_1 @ a1211 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl460,plain,
    ( ~ ( c1_1 @ a1211 )
   <= ~ ( c1_1 @ a1211 ) ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl833,plain,
    ( ( ~ ( c3_1 @ a1211 )
      | ~ ( c2_1 @ a1211 ) )
   <= ( ~ ( c1_1 @ a1211 )
      & ! [X15: $i] :
          ( ( c1_1 @ X15 )
          | ~ ( c2_1 @ X15 )
          | ~ ( c3_1 @ X15 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl244,zip_derived_cl460]) ).

thf('80',plain,
    ( ~ ! [X15: $i] :
          ( ( c1_1 @ X15 )
          | ~ ( c2_1 @ X15 )
          | ~ ( c3_1 @ X15 ) )
    | ~ ( c2_1 @ a1211 )
    | ( c1_1 @ a1211 )
    | ~ ( c3_1 @ a1211 ) ),
    inference(split,[status(esa)],[zip_derived_cl833]) ).

thf(zip_derived_cl93,plain,
    ( ~ hskp20
    | ( c1_1 @ a1205 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('81',plain,
    ( ( c1_1 @ a1205 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf(zip_derived_cl95,plain,
    ( ~ hskp20
    | ~ ( c2_1 @ a1205 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('82',plain,
    ( ~ ( c2_1 @ a1205 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl472,plain,
    ( ( c1_1 @ a1205 )
   <= ( c1_1 @ a1205 ) ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf(zip_derived_cl212_033,plain,
    ( ! [X4: $i] :
        ( ( c2_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c3_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c2_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c3_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl1221,plain,
    ( ( ( c2_1 @ a1205 )
      | ~ ( c3_1 @ a1205 ) )
   <= ( ! [X4: $i] :
          ( ( c2_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c3_1 @ X4 ) )
      & ( c1_1 @ a1205 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl472,zip_derived_cl212]) ).

thf('83',plain,
    ( ~ ! [X4: $i] :
          ( ( c2_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c3_1 @ X4 ) )
    | ~ ( c1_1 @ a1205 )
    | ~ ( c3_1 @ a1205 )
    | ( c2_1 @ a1205 ) ),
    inference(split,[status(esa)],[zip_derived_cl1221]) ).

thf(zip_derived_cl141,plain,
    ( ~ hskp8
    | ( c1_1 @ a1180 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('84',plain,
    ( ( c1_1 @ a1180 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf(zip_derived_cl142,plain,
    ( ~ hskp8
    | ~ ( c0_1 @ a1180 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('85',plain,
    ( ~ hskp8
    | ~ ( c0_1 @ a1180 ) ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf(zip_derived_cl143,plain,
    ( ~ hskp8
    | ~ ( c3_1 @ a1180 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('86',plain,
    ( ~ hskp8
    | ~ ( c3_1 @ a1180 ) ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf('87',plain,
    ( hskp26
    | ! [X4: $i] :
        ( ( c2_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c3_1 @ X4 ) )
    | ~ ndr1_0
    | hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf('88',plain,
    ( ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ( c3_1 @ X56 )
        | ~ ( c1_1 @ X56 ) )
    | ! [X4: $i] :
        ( ( c2_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c3_1 @ X4 ) )
    | ~ ndr1_0
    | hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl568,plain,
    ( ( c1_1 @ a1180 )
   <= ( c1_1 @ a1180 ) ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf(zip_derived_cl331_034,plain,
    ( ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ( c3_1 @ X56 )
        | ~ ( c1_1 @ X56 ) )
   <= ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ( c3_1 @ X56 )
        | ~ ( c1_1 @ X56 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl1608,plain,
    ( ( ( c0_1 @ a1180 )
      | ( c3_1 @ a1180 ) )
   <= ( ! [X56: $i] :
          ( ( c0_1 @ X56 )
          | ( c3_1 @ X56 )
          | ~ ( c1_1 @ X56 ) )
      & ( c1_1 @ a1180 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl568,zip_derived_cl331]) ).

thf('89',plain,
    ( ( c0_1 @ a1180 )
    | ( c3_1 @ a1180 )
    | ~ ! [X56: $i] :
          ( ( c0_1 @ X56 )
          | ( c3_1 @ X56 )
          | ~ ( c1_1 @ X56 ) )
    | ~ ( c1_1 @ a1180 ) ),
    inference(split,[status(esa)],[zip_derived_cl1608]) ).

thf(zip_derived_cl161,plain,
    ( ~ hskp3
    | ( c0_1 @ a1174 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('90',plain,
    ( ( c0_1 @ a1174 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf('91',plain,
    ( ( c1_1 @ a1174 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf('92',plain,
    ( ~ hskp3
    | ~ ( c3_1 @ a1174 ) ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl610_035,plain,
    ( ( c1_1 @ a1174 )
   <= ( c1_1 @ a1174 ) ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf(zip_derived_cl216_036,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_cl12]) ).

thf(zip_derived_cl1307,plain,
    ( ( ( c3_1 @ a1174 )
      | ~ ( c0_1 @ a1174 ) )
   <= ( ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c1_1 @ X6 ) )
      & ( c1_1 @ a1174 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl610,zip_derived_cl216]) ).

thf('93',plain,
    ( ( c3_1 @ a1174 )
    | ~ ( c1_1 @ a1174 )
    | ~ ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c1_1 @ X6 ) )
    | ~ ( c0_1 @ a1174 ) ),
    inference(split,[status(esa)],[zip_derived_cl1307]) ).

thf(zip_derived_cl260_037,plain,
    ( ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ~ ( c0_1 @ X21 )
        | ~ ( c2_1 @ X21 ) )
   <= ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ~ ( c0_1 @ X21 )
        | ~ ( c2_1 @ X21 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl460_038,plain,
    ( ~ ( c1_1 @ a1211 )
   <= ~ ( c1_1 @ a1211 ) ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl977,plain,
    ( ( ~ ( c2_1 @ a1211 )
      | ~ ( c0_1 @ a1211 ) )
   <= ( ~ ( c1_1 @ a1211 )
      & ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c2_1 @ X21 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl260,zip_derived_cl460]) ).

thf('94',plain,
    ( ( c1_1 @ a1211 )
    | ~ ( c2_1 @ a1211 )
    | ~ ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c2_1 @ X21 ) )
    | ~ ( c0_1 @ a1211 ) ),
    inference(split,[status(esa)],[zip_derived_cl977]) ).

thf(zip_derived_cl24,plain,
    ! [X22: $i,X23: $i] :
      ( ( c1_1 @ X22 )
      | ~ ( c0_1 @ X22 )
      | ~ ( c2_1 @ X22 )
      | ~ ndr1_0
      | ( c2_1 @ X23 )
      | ( c3_1 @ X23 )
      | ~ ( c0_1 @ X23 )
      | ~ ndr1_0
      | hskp17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('95',plain,
    ( ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 ) )
    | ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ~ ( c0_1 @ X21 )
        | ~ ( c2_1 @ X21 ) )
    | ~ ndr1_0
    | hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl15,plain,
    ! [X9: $i] :
      ( ( c2_1 @ X9 )
      | ( c3_1 @ X9 )
      | ~ ( c0_1 @ X9 )
      | ~ ndr1_0
      | hskp22
      | hskp14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('96',plain,
    ( ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 ) )
    | hskp22
    | ~ ndr1_0
    | hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl634_039,plain,
    ( ( c1_1 @ a1168 )
   <= ( c1_1 @ a1168 ) ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf(zip_derived_cl236_040,plain,
    ( ! [X12: $i] :
        ( ~ ( c0_1 @ X12 )
        | ~ ( c1_1 @ X12 )
        | ~ ( c3_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ~ ( c0_1 @ X12 )
        | ~ ( c1_1 @ X12 )
        | ~ ( c3_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl1338,plain,
    ( ( ~ ( c0_1 @ a1168 )
      | ~ ( c3_1 @ a1168 ) )
   <= ( ! [X12: $i] :
          ( ~ ( c0_1 @ X12 )
          | ~ ( c1_1 @ X12 )
          | ~ ( c3_1 @ X12 ) )
      & ( c1_1 @ a1168 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl634,zip_derived_cl236]) ).

thf(zip_derived_cl1846,plain,
    ( ~ ( c3_1 @ a1168 )
   <= ~ ( c3_1 @ a1168 ) ),
    inference(split,[status(esa)],[zip_derived_cl1338]) ).

thf(zip_derived_cl224_041,plain,
    ( ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl1849,plain,
    ( ( ( c2_1 @ a1168 )
      | ~ ( c0_1 @ a1168 ) )
   <= ( ~ ( c3_1 @ a1168 )
      & ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1846,zip_derived_cl224]) ).

thf('97',plain,
    ( ( c3_1 @ a1168 )
    | ( c2_1 @ a1168 )
    | ~ ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 ) )
    | ~ ( c0_1 @ a1168 ) ),
    inference(split,[status(esa)],[zip_derived_cl1849]) ).

thf(zip_derived_cl129,plain,
    ( ~ hskp11
    | ( c0_1 @ a1186 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('98',plain,
    ( ( c0_1 @ a1186 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf(zip_derived_cl130,plain,
    ( ~ hskp11
    | ~ ( c2_1 @ a1186 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('99',plain,
    ( ~ hskp11
    | ~ ( c2_1 @ a1186 ) ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(zip_derived_cl131,plain,
    ( ~ hskp11
    | ~ ( c3_1 @ a1186 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('100',plain,
    ( ~ hskp11
    | ~ ( c3_1 @ a1186 ) ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf(zip_derived_cl548,plain,
    ( ~ ( c3_1 @ a1186 )
   <= ~ ( c3_1 @ a1186 ) ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf(zip_derived_cl224_042,plain,
    ( ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl725,plain,
    ( ( ( c2_1 @ a1186 )
      | ~ ( c0_1 @ a1186 ) )
   <= ( ~ ( c3_1 @ a1186 )
      & ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl548,zip_derived_cl224]) ).

thf('101',plain,
    ( ( c3_1 @ a1186 )
    | ( c2_1 @ a1186 )
    | ~ ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 ) )
    | ~ ( c0_1 @ a1186 ) ),
    inference(split,[status(esa)],[zip_derived_cl725]) ).

thf(zip_derived_cl27,plain,
    ! [X27: $i] :
      ( ( c1_1 @ X27 )
      | ( c2_1 @ X27 )
      | ~ ( c0_1 @ X27 )
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl276,plain,
    ( ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ( c2_1 @ X27 )
        | ~ ( c0_1 @ X27 ) )
   <= ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ( c2_1 @ X27 )
        | ~ ( c0_1 @ X27 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl460_043,plain,
    ( ~ ( c1_1 @ a1211 )
   <= ~ ( c1_1 @ a1211 ) ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl1098,plain,
    ( ( ~ ( c0_1 @ a1211 )
      | ( c2_1 @ a1211 ) )
   <= ( ~ ( c1_1 @ a1211 )
      & ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ( c2_1 @ X27 )
          | ~ ( c0_1 @ X27 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl276,zip_derived_cl460]) ).

thf('102',plain,
    ( ( c2_1 @ a1211 )
    | ( c1_1 @ a1211 )
    | ~ ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ( c2_1 @ X27 )
          | ~ ( c0_1 @ X27 ) )
    | ~ ( c0_1 @ a1211 ) ),
    inference(split,[status(esa)],[zip_derived_cl1098]) ).

thf(zip_derived_cl38,plain,
    ! [X48: $i,X49: $i] :
      ( ( c0_1 @ X48 )
      | ~ ( c1_1 @ X48 )
      | ~ ( c3_1 @ X48 )
      | ~ ndr1_0
      | ( c1_1 @ X49 )
      | ( c2_1 @ X49 )
      | ~ ( c3_1 @ X49 )
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('103',plain,
    ( ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ( c2_1 @ X24 )
        | ~ ( c3_1 @ X24 ) )
    | hskp11
    | ~ ndr1_0
    | ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c3_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf('104',plain,
    ( ( c3_1 @ a1168 )
    | ~ ( c1_1 @ a1168 )
    | ~ ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c1_1 @ X6 ) )
    | ~ ( c0_1 @ a1168 ) ),
    inference(split,[status(esa)],[zip_derived_cl1336]) ).

thf(zip_derived_cl634_044,plain,
    ( ( c1_1 @ a1168 )
   <= ( c1_1 @ a1168 ) ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf(zip_derived_cl217,plain,
    ( ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl1335,plain,
    ( ( ( c2_1 @ a1168 )
      | ~ ( c0_1 @ a1168 ) )
   <= ( ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c1_1 @ X5 ) )
      & ( c1_1 @ a1168 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl634,zip_derived_cl217]) ).

thf('105',plain,
    ( ~ ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c1_1 @ X5 ) )
    | ~ ( c0_1 @ a1168 )
    | ~ ( c1_1 @ a1168 )
    | ( c2_1 @ a1168 ) ),
    inference(split,[status(esa)],[zip_derived_cl1335]) ).

thf('106',plain,
    ( ~ ! [X12: $i] :
          ( ~ ( c0_1 @ X12 )
          | ~ ( c1_1 @ X12 )
          | ~ ( c3_1 @ X12 ) )
    | ~ ( c3_1 @ a1168 )
    | ~ ( c0_1 @ a1168 )
    | ~ ( c1_1 @ a1168 ) ),
    inference(split,[status(esa)],[zip_derived_cl1338]) ).

thf(zip_derived_cl113,plain,
    ( ~ hskp15
    | ( c2_1 @ a1195 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('107',plain,
    ( ( c2_1 @ a1195 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl113]) ).

thf('108',plain,
    ( ~ hskp15
    | ~ ( c1_1 @ a1195 ) ),
    inference(split,[status(esa)],[zip_derived_cl114]) ).

thf('109',plain,
    ( ~ hskp15
    | ~ ( c3_1 @ a1195 ) ),
    inference(split,[status(esa)],[zip_derived_cl115]) ).

thf('110',plain,
    ( ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c2_1 @ X33 )
        | ( c3_1 @ X33 ) )
    | hskp15
    | hskp14
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf('111',plain,
    ( ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c2_1 @ X33 )
        | ( c3_1 @ X33 ) )
    | hskp26
    | ~ ndr1_0
    | ! [X41: $i] :
        ( ( c1_1 @ X41 )
        | ( c3_1 @ X41 )
        | ~ ( c2_1 @ X41 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl286_045,plain,
    ( ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c2_1 @ X33 )
        | ( c3_1 @ X33 ) )
   <= ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c2_1 @ X33 )
        | ( c3_1 @ X33 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl82,plain,
    ( ~ hskp23
    | ~ ( c1_1 @ a1218 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl450,plain,
    ( ~ ( c1_1 @ a1218 )
   <= ~ ( c1_1 @ a1218 ) ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl1203,plain,
    ( ( ( c3_1 @ a1218 )
      | ( c2_1 @ a1218 ) )
   <= ( ~ ( c1_1 @ a1218 )
      & ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ( c2_1 @ X33 )
          | ( c3_1 @ X33 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl286,zip_derived_cl450]) ).

thf('112',plain,
    ( ( c2_1 @ a1218 )
    | ( c1_1 @ a1218 )
    | ~ ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ( c2_1 @ X33 )
          | ( c3_1 @ X33 ) )
    | ( c3_1 @ a1218 ) ),
    inference(split,[status(esa)],[zip_derived_cl1203]) ).

thf(zip_derived_cl363_046,plain,
    ( ! [X71: $i] :
        ( ( c0_1 @ X71 )
        | ( c1_1 @ X71 )
        | ~ ( c2_1 @ X71 ) )
   <= ! [X71: $i] :
        ( ( c0_1 @ X71 )
        | ( c1_1 @ X71 )
        | ~ ( c2_1 @ X71 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl450_047,plain,
    ( ~ ( c1_1 @ a1218 )
   <= ~ ( c1_1 @ a1218 ) ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl1782,plain,
    ( ( ~ ( c2_1 @ a1218 )
      | ( c0_1 @ a1218 ) )
   <= ( ~ ( c1_1 @ a1218 )
      & ! [X71: $i] :
          ( ( c0_1 @ X71 )
          | ( c1_1 @ X71 )
          | ~ ( c2_1 @ X71 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl363,zip_derived_cl450]) ).

thf('113',plain,
    ( ( c0_1 @ a1218 )
    | ~ ( c2_1 @ a1218 )
    | ~ ! [X71: $i] :
          ( ( c0_1 @ X71 )
          | ( c1_1 @ X71 )
          | ~ ( c2_1 @ X71 ) )
    | ( c1_1 @ a1218 ) ),
    inference(split,[status(esa)],[zip_derived_cl1782]) ).

thf(zip_derived_cl276_048,plain,
    ( ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ( c2_1 @ X27 )
        | ~ ( c0_1 @ X27 ) )
   <= ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ( c2_1 @ X27 )
        | ~ ( c0_1 @ X27 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl482_049,plain,
    ( ~ ( c1_1 @ a1204 )
   <= ~ ( c1_1 @ a1204 ) ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf(zip_derived_cl1096,plain,
    ( ( ~ ( c0_1 @ a1204 )
      | ( c2_1 @ a1204 ) )
   <= ( ~ ( c1_1 @ a1204 )
      & ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ( c2_1 @ X27 )
          | ~ ( c0_1 @ X27 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl276,zip_derived_cl482]) ).

thf('114',plain,
    ( ( c1_1 @ a1204 )
    | ~ ( c0_1 @ a1204 )
    | ~ ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ( c2_1 @ X27 )
          | ~ ( c0_1 @ X27 ) )
    | ( c2_1 @ a1204 ) ),
    inference(split,[status(esa)],[zip_derived_cl1096]) ).

thf('115',plain,
    ( ~ hskp19
    | ~ ( c1_1 @ a1204 ) ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf(zip_derived_cl99,plain,
    ( ~ hskp19
    | ~ ( c2_1 @ a1204 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('116',plain,
    ( ~ hskp19
    | ~ ( c2_1 @ a1204 ) ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl56,plain,
    ! [X86: $i,X87: $i] :
      ( ( c0_1 @ X86 )
      | ( c1_1 @ X86 )
      | ( c2_1 @ X86 )
      | ~ ndr1_0
      | ( c3_1 @ X87 )
      | ~ ( c0_1 @ X87 )
      | ~ ( c2_1 @ X87 )
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl391,plain,
    ( ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c1_1 @ X86 )
        | ( c2_1 @ X86 ) )
   <= ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c1_1 @ X86 )
        | ( c2_1 @ X86 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl56]) ).

thf(zip_derived_cl482_050,plain,
    ( ~ ( c1_1 @ a1204 )
   <= ~ ( c1_1 @ a1204 ) ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf(zip_derived_cl2035,plain,
    ( ( ( c2_1 @ a1204 )
      | ( c0_1 @ a1204 ) )
   <= ( ~ ( c1_1 @ a1204 )
      & ! [X86: $i] :
          ( ( c0_1 @ X86 )
          | ( c1_1 @ X86 )
          | ( c2_1 @ X86 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl391,zip_derived_cl482]) ).

thf('117',plain,
    ( ( c0_1 @ a1204 )
    | ( c1_1 @ a1204 )
    | ~ ! [X86: $i] :
          ( ( c0_1 @ X86 )
          | ( c1_1 @ X86 )
          | ( c2_1 @ X86 ) )
    | ( c2_1 @ a1204 ) ),
    inference(split,[status(esa)],[zip_derived_cl2035]) ).

thf(zip_derived_cl58,plain,
    ! [X90: $i,X91: $i] :
      ( ( c0_1 @ X90 )
      | ( c1_1 @ X90 )
      | ( c2_1 @ X90 )
      | ~ ndr1_0
      | ( c1_1 @ X91 )
      | ( c2_1 @ X91 )
      | ~ ( c3_1 @ X91 )
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('118',plain,
    ( ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c1_1 @ X86 )
        | ( c2_1 @ X86 ) )
    | ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ( c2_1 @ X24 )
        | ~ ( c3_1 @ X24 ) )
    | ~ ndr1_0
    | hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf(zip_derived_cl268_051,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_cl25]) ).

thf(zip_derived_cl444_052,plain,
    ( ~ ( c1_1 @ a1232 )
   <= ~ ( c1_1 @ a1232 ) ),
    inference(split,[status(esa)],[zip_derived_cl79]) ).

thf(zip_derived_cl1040,plain,
    ( ( ~ ( c3_1 @ a1232 )
      | ( c2_1 @ a1232 ) )
   <= ( ~ ( c1_1 @ a1232 )
      & ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ( c2_1 @ X24 )
          | ~ ( c3_1 @ X24 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl268,zip_derived_cl444]) ).

thf('119',plain,
    ( ( c2_1 @ a1232 )
    | ( c1_1 @ a1232 )
    | ~ ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ( c2_1 @ X24 )
          | ~ ( c3_1 @ X24 ) )
    | ~ ( c3_1 @ a1232 ) ),
    inference(split,[status(esa)],[zip_derived_cl1040]) ).

thf(zip_derived_cl363_053,plain,
    ( ! [X71: $i] :
        ( ( c0_1 @ X71 )
        | ( c1_1 @ X71 )
        | ~ ( c2_1 @ X71 ) )
   <= ! [X71: $i] :
        ( ( c0_1 @ X71 )
        | ( c1_1 @ X71 )
        | ~ ( c2_1 @ X71 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl444_054,plain,
    ( ~ ( c1_1 @ a1232 )
   <= ~ ( c1_1 @ a1232 ) ),
    inference(split,[status(esa)],[zip_derived_cl79]) ).

thf(zip_derived_cl1783,plain,
    ( ( ~ ( c2_1 @ a1232 )
      | ( c0_1 @ a1232 ) )
   <= ( ~ ( c1_1 @ a1232 )
      & ! [X71: $i] :
          ( ( c0_1 @ X71 )
          | ( c1_1 @ X71 )
          | ~ ( c2_1 @ X71 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl363,zip_derived_cl444]) ).

thf('120',plain,
    ( ( c0_1 @ a1232 )
    | ~ ( c2_1 @ a1232 )
    | ~ ! [X71: $i] :
          ( ( c0_1 @ X71 )
          | ( c1_1 @ X71 )
          | ~ ( c2_1 @ X71 ) )
    | ( c1_1 @ a1232 ) ),
    inference(split,[status(esa)],[zip_derived_cl1783]) ).

thf(zip_derived_cl157,plain,
    ( ~ hskp4
    | ( c1_1 @ a1175 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl600,plain,
    ( ( c1_1 @ a1175 )
   <= ( c1_1 @ a1175 ) ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl236_055,plain,
    ( ! [X12: $i] :
        ( ~ ( c0_1 @ X12 )
        | ~ ( c1_1 @ X12 )
        | ~ ( c3_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ~ ( c0_1 @ X12 )
        | ~ ( c1_1 @ X12 )
        | ~ ( c3_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl1297,plain,
    ( ( ~ ( c0_1 @ a1175 )
      | ~ ( c3_1 @ a1175 ) )
   <= ( ! [X12: $i] :
          ( ~ ( c0_1 @ X12 )
          | ~ ( c1_1 @ X12 )
          | ~ ( c3_1 @ X12 ) )
      & ( c1_1 @ a1175 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl600,zip_derived_cl236]) ).

thf('121',plain,
    ( ~ ( c0_1 @ a1175 )
    | ~ ( c3_1 @ a1175 )
    | ~ ( c1_1 @ a1175 )
    | ~ ! [X12: $i] :
          ( ~ ( c0_1 @ X12 )
          | ~ ( c1_1 @ X12 )
          | ~ ( c3_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl1297]) ).

thf(zip_derived_cl600_056,plain,
    ( ( c1_1 @ a1175 )
   <= ( c1_1 @ a1175 ) ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl306_057,plain,
    ( ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c3_1 @ X42 ) )
   <= ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c3_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl1355,plain,
    ( ( ( c0_1 @ a1175 )
      | ~ ( c3_1 @ a1175 ) )
   <= ( ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ~ ( c1_1 @ X42 )
          | ~ ( c3_1 @ X42 ) )
      & ( c1_1 @ a1175 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl600,zip_derived_cl306]) ).

thf('122',plain,
    ( ~ ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ~ ( c1_1 @ X42 )
          | ~ ( c3_1 @ X42 ) )
    | ~ ( c3_1 @ a1175 )
    | ~ ( c1_1 @ a1175 )
    | ( c0_1 @ a1175 ) ),
    inference(split,[status(esa)],[zip_derived_cl1355]) ).

thf('123',plain,
    ( ( c1_1 @ a1175 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl158,plain,
    ( ~ hskp4
    | ( c2_1 @ a1175 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('124',plain,
    ( ( c2_1 @ a1175 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf('125',plain,
    ( hskp4
    | ! [X71: $i] :
        ( ( c0_1 @ X71 )
        | ( c1_1 @ X71 )
        | ~ ( c2_1 @ X71 ) )
    | ~ ndr1_0
    | ! [X74: $i] :
        ( ( c0_1 @ X74 )
        | ( c1_1 @ X74 )
        | ~ ( c3_1 @ X74 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl600_058,plain,
    ( ( c1_1 @ a1175 )
   <= ( c1_1 @ a1175 ) ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl310_059,plain,
    ( ! [X45: $i] :
        ( ( c3_1 @ X45 )
        | ~ ( c1_1 @ X45 )
        | ~ ( c2_1 @ X45 ) )
   <= ! [X45: $i] :
        ( ( c3_1 @ X45 )
        | ~ ( c1_1 @ X45 )
        | ~ ( c2_1 @ X45 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl1434,plain,
    ( ( ( c3_1 @ a1175 )
      | ~ ( c2_1 @ a1175 ) )
   <= ( ! [X45: $i] :
          ( ( c3_1 @ X45 )
          | ~ ( c1_1 @ X45 )
          | ~ ( c2_1 @ X45 ) )
      & ( c1_1 @ a1175 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl600,zip_derived_cl310]) ).

thf('126',plain,
    ( ( c3_1 @ a1175 )
    | ~ ( c1_1 @ a1175 )
    | ~ ! [X45: $i] :
          ( ( c3_1 @ X45 )
          | ~ ( c1_1 @ X45 )
          | ~ ( c2_1 @ X45 ) )
    | ~ ( c2_1 @ a1175 ) ),
    inference(split,[status(esa)],[zip_derived_cl1434]) ).

thf(zip_derived_cl366_060,plain,
    ( ! [X74: $i] :
        ( ( c0_1 @ X74 )
        | ( c1_1 @ X74 )
        | ~ ( c3_1 @ X74 ) )
   <= ! [X74: $i] :
        ( ( c0_1 @ X74 )
        | ( c1_1 @ X74 )
        | ~ ( c3_1 @ X74 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl444_061,plain,
    ( ~ ( c1_1 @ a1232 )
   <= ~ ( c1_1 @ a1232 ) ),
    inference(split,[status(esa)],[zip_derived_cl79]) ).

thf(zip_derived_cl1820,plain,
    ( ( ~ ( c3_1 @ a1232 )
      | ( c0_1 @ a1232 ) )
   <= ( ~ ( c1_1 @ a1232 )
      & ! [X74: $i] :
          ( ( c0_1 @ X74 )
          | ( c1_1 @ X74 )
          | ~ ( c3_1 @ X74 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl366,zip_derived_cl444]) ).

thf('127',plain,
    ( ( c0_1 @ a1232 )
    | ~ ! [X74: $i] :
          ( ( c0_1 @ X74 )
          | ( c1_1 @ X74 )
          | ~ ( c3_1 @ X74 ) )
    | ~ ( c3_1 @ a1232 )
    | ( c1_1 @ a1232 ) ),
    inference(split,[status(esa)],[zip_derived_cl1820]) ).

thf(zip_derived_cl77,plain,
    ( ~ hskp24
    | ( c3_1 @ a1232 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('128',plain,
    ( ( c3_1 @ a1232 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl77]) ).

thf(zip_derived_cl78,plain,
    ( ~ hskp24
    | ~ ( c0_1 @ a1232 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('129',plain,
    ( ~ hskp24
    | ~ ( c0_1 @ a1232 ) ),
    inference(split,[status(esa)],[zip_derived_cl78]) ).

thf('130',plain,
    ( ~ hskp24
    | ~ ( c1_1 @ a1232 ) ),
    inference(split,[status(esa)],[zip_derived_cl79]) ).

thf(zip_derived_cl6,plain,
    ( hskp26
    | hskp17
    | hskp24 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('131',plain,
    ( hskp26
    | hskp24
    | hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl105,plain,
    ( ~ hskp17
    | ( c0_1 @ a1200 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('132',plain,
    ( ~ hskp17
    | ( c0_1 @ a1200 ) ),
    inference(split,[status(esa)],[zip_derived_cl105]) ).

thf('133',plain,
    ( ~ hskp17
    | ~ ( c1_1 @ a1200 ) ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(zip_derived_cl107,plain,
    ( ~ hskp17
    | ~ ( c2_1 @ a1200 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('134',plain,
    ( ~ hskp17
    | ~ ( c2_1 @ a1200 ) ),
    inference(split,[status(esa)],[zip_derived_cl107]) ).

thf(zip_derived_cl276_062,plain,
    ( ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ( c2_1 @ X27 )
        | ~ ( c0_1 @ X27 ) )
   <= ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ( c2_1 @ X27 )
        | ~ ( c0_1 @ X27 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl498_063,plain,
    ( ~ ( c1_1 @ a1200 )
   <= ~ ( c1_1 @ a1200 ) ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(zip_derived_cl1095,plain,
    ( ( ~ ( c0_1 @ a1200 )
      | ( c2_1 @ a1200 ) )
   <= ( ~ ( c1_1 @ a1200 )
      & ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ( c2_1 @ X27 )
          | ~ ( c0_1 @ X27 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl276,zip_derived_cl498]) ).

thf('135',plain,
    ( ( c1_1 @ a1200 )
    | ( c2_1 @ a1200 )
    | ~ ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ( c2_1 @ X27 )
          | ~ ( c0_1 @ X27 ) )
    | ~ ( c0_1 @ a1200 ) ),
    inference(split,[status(esa)],[zip_derived_cl1095]) ).

thf('136',plain,
    ( ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ( c2_1 @ X27 )
        | ~ ( c0_1 @ X27 ) )
    | hskp0
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl116,plain,
    ( ~ hskp14
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('137',plain,
    ( ndr1_0
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl116]) ).

thf(zip_derived_cl168,plain,
    ( ~ hskp1
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('138',plain,
    ( ndr1_0
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl168]) ).

thf(zip_derived_cl172,plain,
    ( ~ hskp0
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('139',plain,
    ( ndr1_0
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl172]) ).

thf(zip_derived_cl302_064,plain,
    ( ! [X41: $i] :
        ( ( c1_1 @ X41 )
        | ( c3_1 @ X41 )
        | ~ ( c2_1 @ X41 ) )
   <= ! [X41: $i] :
        ( ( c1_1 @ X41 )
        | ( c3_1 @ X41 )
        | ~ ( c2_1 @ X41 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl514_065,plain,
    ( ~ ( c1_1 @ a1195 )
   <= ~ ( c1_1 @ a1195 ) ),
    inference(split,[status(esa)],[zip_derived_cl114]) ).

thf(zip_derived_cl1394,plain,
    ( ( ~ ( c2_1 @ a1195 )
      | ( c3_1 @ a1195 ) )
   <= ( ~ ( c1_1 @ a1195 )
      & ! [X41: $i] :
          ( ( c1_1 @ X41 )
          | ( c3_1 @ X41 )
          | ~ ( c2_1 @ X41 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl302,zip_derived_cl514]) ).

thf('140',plain,
    ( ( c1_1 @ a1195 )
    | ~ ( c2_1 @ a1195 )
    | ~ ! [X41: $i] :
          ( ( c1_1 @ X41 )
          | ( c3_1 @ X41 )
          | ~ ( c2_1 @ X41 ) )
    | ( c3_1 @ a1195 ) ),
    inference(split,[status(esa)],[zip_derived_cl1394]) ).

thf(zip_derived_cl73,plain,
    ( ~ hskp25
    | ( c1_1 @ a1182 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl432,plain,
    ( ( c1_1 @ a1182 )
   <= ( c1_1 @ a1182 ) ),
    inference(split,[status(esa)],[zip_derived_cl73]) ).

thf(zip_derived_cl236_066,plain,
    ( ! [X12: $i] :
        ( ~ ( c0_1 @ X12 )
        | ~ ( c1_1 @ X12 )
        | ~ ( c3_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ~ ( c0_1 @ X12 )
        | ~ ( c1_1 @ X12 )
        | ~ ( c3_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl1159,plain,
    ( ( ~ ( c0_1 @ a1182 )
      | ~ ( c3_1 @ a1182 ) )
   <= ( ! [X12: $i] :
          ( ~ ( c0_1 @ X12 )
          | ~ ( c1_1 @ X12 )
          | ~ ( c3_1 @ X12 ) )
      & ( c1_1 @ a1182 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl432,zip_derived_cl236]) ).

thf('141',plain,
    ( ~ ! [X12: $i] :
          ( ~ ( c0_1 @ X12 )
          | ~ ( c1_1 @ X12 )
          | ~ ( c3_1 @ X12 ) )
    | ~ ( c0_1 @ a1182 )
    | ~ ( c3_1 @ a1182 )
    | ~ ( c1_1 @ a1182 ) ),
    inference(split,[status(esa)],[zip_derived_cl1159]) ).

thf('142',plain,
    ( ( c1_1 @ a1182 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl73]) ).

thf('143',plain,
    ( ( c3_1 @ a1182 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl75]) ).

thf(zip_derived_cl432_067,plain,
    ( ( c1_1 @ a1182 )
   <= ( c1_1 @ a1182 ) ),
    inference(split,[status(esa)],[zip_derived_cl73]) ).

thf(zip_derived_cl306_068,plain,
    ( ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c3_1 @ X42 ) )
   <= ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c3_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl1361,plain,
    ( ( ( c0_1 @ a1182 )
      | ~ ( c3_1 @ a1182 ) )
   <= ( ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ~ ( c1_1 @ X42 )
          | ~ ( c3_1 @ X42 ) )
      & ( c1_1 @ a1182 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl432,zip_derived_cl306]) ).

thf('144',plain,
    ( ( c0_1 @ a1182 )
    | ~ ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ~ ( c1_1 @ X42 )
          | ~ ( c3_1 @ X42 ) )
    | ~ ( c3_1 @ a1182 )
    | ~ ( c1_1 @ a1182 ) ),
    inference(split,[status(esa)],[zip_derived_cl1361]) ).

thf('145',plain,
    ( hskp25
    | ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c1_1 @ X6 ) )
    | ~ ndr1_0
    | ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl69,plain,
    ( ~ hskp26
    | ( c0_1 @ a1190 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('146',plain,
    ( ( c0_1 @ a1190 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl69]) ).

thf(zip_derived_cl70,plain,
    ( ~ hskp26
    | ( c1_1 @ a1190 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('147',plain,
    ( ( c1_1 @ a1190 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl70]) ).

thf(zip_derived_cl71,plain,
    ( ~ hskp26
    | ( c3_1 @ a1190 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('148',plain,
    ( ( c3_1 @ a1190 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl71]) ).

thf(zip_derived_cl426,plain,
    ( ( c1_1 @ a1190 )
   <= ( c1_1 @ a1190 ) ),
    inference(split,[status(esa)],[zip_derived_cl70]) ).

thf(zip_derived_cl236_069,plain,
    ( ! [X12: $i] :
        ( ~ ( c0_1 @ X12 )
        | ~ ( c1_1 @ X12 )
        | ~ ( c3_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ~ ( c0_1 @ X12 )
        | ~ ( c1_1 @ X12 )
        | ~ ( c3_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl1152,plain,
    ( ( ~ ( c0_1 @ a1190 )
      | ~ ( c3_1 @ a1190 ) )
   <= ( ! [X12: $i] :
          ( ~ ( c0_1 @ X12 )
          | ~ ( c1_1 @ X12 )
          | ~ ( c3_1 @ X12 ) )
      & ( c1_1 @ a1190 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl426,zip_derived_cl236]) ).

thf('149',plain,
    ( ~ ! [X12: $i] :
          ( ~ ( c0_1 @ X12 )
          | ~ ( c1_1 @ X12 )
          | ~ ( c3_1 @ X12 ) )
    | ~ ( c0_1 @ a1190 )
    | ~ ( c3_1 @ a1190 )
    | ~ ( c1_1 @ a1190 ) ),
    inference(split,[status(esa)],[zip_derived_cl1152]) ).

thf(zip_derived_cl28,plain,
    ! [X28: $i,X29: $i] :
      ( ( c1_1 @ X28 )
      | ( c2_1 @ X28 )
      | ~ ( c0_1 @ X28 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X29 )
      | ~ ( c1_1 @ X29 )
      | ~ ( c3_1 @ X29 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('150',plain,
    ( ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ( c2_1 @ X27 )
        | ~ ( c0_1 @ X27 ) )
    | ! [X12: $i] :
        ( ~ ( c0_1 @ X12 )
        | ~ ( c1_1 @ X12 )
        | ~ ( c3_1 @ X12 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf('151',plain,
    ( ( c3_1 @ a1211 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf(zip_derived_cl252_070,plain,
    ( ! [X17: $i] :
        ( ( c1_1 @ X17 )
        | ~ ( c0_1 @ X17 )
        | ~ ( c3_1 @ X17 ) )
   <= ! [X17: $i] :
        ( ( c1_1 @ X17 )
        | ~ ( c0_1 @ X17 )
        | ~ ( c3_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl460_071,plain,
    ( ~ ( c1_1 @ a1211 )
   <= ~ ( c1_1 @ a1211 ) ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl908,plain,
    ( ( ~ ( c3_1 @ a1211 )
      | ~ ( c0_1 @ a1211 ) )
   <= ( ~ ( c1_1 @ a1211 )
      & ! [X17: $i] :
          ( ( c1_1 @ X17 )
          | ~ ( c0_1 @ X17 )
          | ~ ( c3_1 @ X17 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl252,zip_derived_cl460]) ).

thf('152',plain,
    ( ( c1_1 @ a1211 )
    | ~ ( c3_1 @ a1211 )
    | ~ ! [X17: $i] :
          ( ( c1_1 @ X17 )
          | ~ ( c0_1 @ X17 )
          | ~ ( c3_1 @ X17 ) )
    | ~ ( c0_1 @ a1211 ) ),
    inference(split,[status(esa)],[zip_derived_cl908]) ).

thf(zip_derived_cl85,plain,
    ( ~ hskp22
    | ( c0_1 @ a1211 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('153',plain,
    ( ( c0_1 @ a1211 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf('154',plain,
    ( ~ hskp22
    | ~ ( c1_1 @ a1211 ) ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl16,plain,
    ! [X10: $i] :
      ( ( c2_1 @ X10 )
      | ( c3_1 @ X10 )
      | ~ ( c0_1 @ X10 )
      | ~ ndr1_0
      | hskp22
      | hskp17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('155',plain,
    ( ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 ) )
    | hskp22
    | ~ ndr1_0
    | hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl173,plain,
    ( ~ hskp0
    | ( c0_1 @ a1168 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('156',plain,
    ( ( c0_1 @ a1168 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl173]) ).

thf('157',plain,
    ( ( c1_1 @ a1168 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf(zip_derived_cl175,plain,
    ( ~ hskp0
    | ~ ( c2_1 @ a1168 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('158',plain,
    ( ~ ( c2_1 @ a1168 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf('159',plain,
    ( ! [X78: $i] :
        ( ( c0_1 @ X78 )
        | ( c1_1 @ X78 )
        | ( c3_1 @ X78 ) )
    | hskp0
    | ~ ndr1_0
    | hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl81,plain,
    ( ~ hskp23
    | ~ ( c0_1 @ a1218 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('160',plain,
    ( ~ hskp23
    | ~ ( c0_1 @ a1218 ) ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf('161',plain,
    ( ~ hskp23
    | ~ ( c1_1 @ a1218 ) ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl83,plain,
    ( ~ hskp23
    | ~ ( c3_1 @ a1218 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('162',plain,
    ( ~ hskp23
    | ~ ( c3_1 @ a1218 ) ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl374_072,plain,
    ( ! [X78: $i] :
        ( ( c0_1 @ X78 )
        | ( c1_1 @ X78 )
        | ( c3_1 @ X78 ) )
   <= ! [X78: $i] :
        ( ( c0_1 @ X78 )
        | ( c1_1 @ X78 )
        | ( c3_1 @ X78 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl450_073,plain,
    ( ~ ( c1_1 @ a1218 )
   <= ~ ( c1_1 @ a1218 ) ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl1998,plain,
    ( ( ( c3_1 @ a1218 )
      | ( c0_1 @ a1218 ) )
   <= ( ~ ( c1_1 @ a1218 )
      & ! [X78: $i] :
          ( ( c0_1 @ X78 )
          | ( c1_1 @ X78 )
          | ( c3_1 @ X78 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl374,zip_derived_cl450]) ).

thf('163',plain,
    ( ( c0_1 @ a1218 )
    | ( c1_1 @ a1218 )
    | ~ ! [X78: $i] :
          ( ( c0_1 @ X78 )
          | ( c1_1 @ X78 )
          | ( c3_1 @ X78 ) )
    | ( c3_1 @ a1218 ) ),
    inference(split,[status(esa)],[zip_derived_cl1998]) ).

thf(zip_derived_cl13,plain,
    ! [X7: $i] :
      ( ( c2_1 @ X7 )
      | ( c3_1 @ X7 )
      | ~ ( c1_1 @ X7 )
      | ~ ndr1_0
      | hskp19
      | hskp23 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('164',plain,
    ( ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ( c3_1 @ X7 )
        | ~ ( c1_1 @ X7 ) )
    | hskp23
    | ~ ndr1_0
    | hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf('165',plain,
    ( ( c1_1 @ a1169 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl169]) ).

thf(zip_derived_cl170,plain,
    ( ~ hskp1
    | ~ ( c2_1 @ a1169 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('166',plain,
    ( ~ hskp1
    | ~ ( c2_1 @ a1169 ) ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf('167',plain,
    ( ~ hskp1
    | ~ ( c3_1 @ a1169 ) ),
    inference(split,[status(esa)],[zip_derived_cl171]) ).

thf(zip_derived_cl624_074,plain,
    ( ( c1_1 @ a1169 )
   <= ( c1_1 @ a1169 ) ),
    inference(split,[status(esa)],[zip_derived_cl169]) ).

thf(zip_derived_cl220,plain,
    ( ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ( c3_1 @ X7 )
        | ~ ( c1_1 @ X7 ) )
   <= ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ( c3_1 @ X7 )
        | ~ ( c1_1 @ X7 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl1315,plain,
    ( ( ( c2_1 @ a1169 )
      | ( c3_1 @ a1169 ) )
   <= ( ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ( c3_1 @ X7 )
          | ~ ( c1_1 @ X7 ) )
      & ( c1_1 @ a1169 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl624,zip_derived_cl220]) ).

thf('168',plain,
    ( ( c2_1 @ a1169 )
    | ( c3_1 @ a1169 )
    | ~ ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ( c3_1 @ X7 )
          | ~ ( c1_1 @ X7 ) )
    | ~ ( c1_1 @ a1169 ) ),
    inference(split,[status(esa)],[zip_derived_cl1315]) ).

thf(zip_derived_cl5,plain,
    ( hskp0
    | hskp1
    | hskp14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('169',plain,
    ( hskp14
    | hskp1
    | hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl117,plain,
    ( ~ hskp14
    | ( c2_1 @ a1194 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('170',plain,
    ( ( c2_1 @ a1194 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl117]) ).

thf(zip_derived_cl118,plain,
    ( ~ hskp14
    | ~ ( c0_1 @ a1194 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('171',plain,
    ( ~ ( c0_1 @ a1194 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl118]) ).

thf('172',plain,
    ( ~ ( c1_1 @ a1194 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl119]) ).

thf(zip_derived_cl363_075,plain,
    ( ! [X71: $i] :
        ( ( c0_1 @ X71 )
        | ( c1_1 @ X71 )
        | ~ ( c2_1 @ X71 ) )
   <= ! [X71: $i] :
        ( ( c0_1 @ X71 )
        | ( c1_1 @ X71 )
        | ~ ( c2_1 @ X71 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl524_076,plain,
    ( ~ ( c1_1 @ a1194 )
   <= ~ ( c1_1 @ a1194 ) ),
    inference(split,[status(esa)],[zip_derived_cl119]) ).

thf(zip_derived_cl1776,plain,
    ( ( ~ ( c2_1 @ a1194 )
      | ( c0_1 @ a1194 ) )
   <= ( ~ ( c1_1 @ a1194 )
      & ! [X71: $i] :
          ( ( c0_1 @ X71 )
          | ( c1_1 @ X71 )
          | ~ ( c2_1 @ X71 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl363,zip_derived_cl524]) ).

thf('173',plain,
    ( ~ ! [X71: $i] :
          ( ( c0_1 @ X71 )
          | ( c1_1 @ X71 )
          | ~ ( c2_1 @ X71 ) )
    | ( c0_1 @ a1194 )
    | ( c1_1 @ a1194 )
    | ~ ( c2_1 @ a1194 ) ),
    inference(split,[status(esa)],[zip_derived_cl1776]) ).

thf(zip_derived_cl51,plain,
    ! [X75: $i,X76: $i,X77: $i] :
      ( ( c0_1 @ X75 )
      | ( c1_1 @ X75 )
      | ~ ( c2_1 @ X75 )
      | ~ ndr1_0
      | ( c0_1 @ X76 )
      | ( c1_1 @ X76 )
      | ~ ( c3_1 @ X76 )
      | ~ ndr1_0
      | ( c3_1 @ X77 )
      | ~ ( c1_1 @ X77 )
      | ~ ( c2_1 @ X77 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('174',plain,
    ( ! [X45: $i] :
        ( ( c3_1 @ X45 )
        | ~ ( c1_1 @ X45 )
        | ~ ( c2_1 @ X45 ) )
    | ! [X71: $i] :
        ( ( c0_1 @ X71 )
        | ( c1_1 @ X71 )
        | ~ ( c2_1 @ X71 ) )
    | ~ ndr1_0
    | ! [X74: $i] :
        ( ( c0_1 @ X74 )
        | ( c1_1 @ X74 )
        | ~ ( c3_1 @ X74 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf('175',plain,
    ( ( c1_1 @ a1178 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl150,plain,
    ( ~ hskp6
    | ( c2_1 @ a1178 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('176',plain,
    ( ( c2_1 @ a1178 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf('177',plain,
    ( ~ hskp6
    | ~ ( c3_1 @ a1178 ) ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl584_077,plain,
    ( ( c1_1 @ a1178 )
   <= ( c1_1 @ a1178 ) ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl310_078,plain,
    ( ! [X45: $i] :
        ( ( c3_1 @ X45 )
        | ~ ( c1_1 @ X45 )
        | ~ ( c2_1 @ X45 ) )
   <= ! [X45: $i] :
        ( ( c3_1 @ X45 )
        | ~ ( c1_1 @ X45 )
        | ~ ( c2_1 @ X45 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl1435,plain,
    ( ( ( c3_1 @ a1178 )
      | ~ ( c2_1 @ a1178 ) )
   <= ( ! [X45: $i] :
          ( ( c3_1 @ X45 )
          | ~ ( c1_1 @ X45 )
          | ~ ( c2_1 @ X45 ) )
      & ( c1_1 @ a1178 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl584,zip_derived_cl310]) ).

thf('178',plain,
    ( ( c3_1 @ a1178 )
    | ~ ( c2_1 @ a1178 )
    | ~ ! [X45: $i] :
          ( ( c3_1 @ X45 )
          | ~ ( c1_1 @ X45 )
          | ~ ( c2_1 @ X45 ) )
    | ~ ( c1_1 @ a1178 ) ),
    inference(split,[status(esa)],[zip_derived_cl1435]) ).

thf('179',plain,
    ( ! [X67: $i] :
        ( ( c0_1 @ X67 )
        | ( c2_1 @ X67 )
        | ( c3_1 @ X67 ) )
    | hskp6
    | hskp3
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(zip_derived_cl125,plain,
    ( ~ hskp12
    | ~ ( c0_1 @ a1187 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('180',plain,
    ( ~ hskp12
    | ~ ( c0_1 @ a1187 ) ),
    inference(split,[status(esa)],[zip_derived_cl125]) ).

thf(zip_derived_cl126,plain,
    ( ~ hskp12
    | ~ ( c2_1 @ a1187 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('181',plain,
    ( ~ hskp12
    | ~ ( c2_1 @ a1187 ) ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl127,plain,
    ( ~ hskp12
    | ~ ( c3_1 @ a1187 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('182',plain,
    ( ~ hskp12
    | ~ ( c3_1 @ a1187 ) ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl354_079,plain,
    ( ! [X67: $i] :
        ( ( c0_1 @ X67 )
        | ( c2_1 @ X67 )
        | ( c3_1 @ X67 ) )
   <= ! [X67: $i] :
        ( ( c0_1 @ X67 )
        | ( c2_1 @ X67 )
        | ( c3_1 @ X67 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(zip_derived_cl540,plain,
    ( ~ ( c3_1 @ a1187 )
   <= ~ ( c3_1 @ a1187 ) ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl1868,plain,
    ( ( ( c2_1 @ a1187 )
      | ( c0_1 @ a1187 ) )
   <= ( ~ ( c3_1 @ a1187 )
      & ! [X67: $i] :
          ( ( c0_1 @ X67 )
          | ( c2_1 @ X67 )
          | ( c3_1 @ X67 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl354,zip_derived_cl540]) ).

thf('183',plain,
    ( ( c0_1 @ a1187 )
    | ( c2_1 @ a1187 )
    | ~ ! [X67: $i] :
          ( ( c0_1 @ X67 )
          | ( c2_1 @ X67 )
          | ( c3_1 @ X67 ) )
    | ( c3_1 @ a1187 ) ),
    inference(split,[status(esa)],[zip_derived_cl1868]) ).

thf(zip_derived_cl20,plain,
    ! [X16: $i] :
      ( ( c1_1 @ X16 )
      | ~ ( c2_1 @ X16 )
      | ~ ( c3_1 @ X16 )
      | ~ ndr1_0
      | hskp20
      | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('184',plain,
    ( hskp20
    | hskp12
    | ! [X15: $i] :
        ( ( c1_1 @ X15 )
        | ~ ( c2_1 @ X15 )
        | ~ ( c3_1 @ X15 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl94,plain,
    ( ~ hskp20
    | ( c3_1 @ a1205 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('185',plain,
    ( ( c3_1 @ a1205 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf(zip_derived_cl474,plain,
    ( ( c3_1 @ a1205 )
   <= ( c3_1 @ a1205 ) ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf(zip_derived_cl335,plain,
    ( ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c2_1 @ X58 )
        | ~ ( c3_1 @ X58 ) )
   <= ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c2_1 @ X58 )
        | ~ ( c3_1 @ X58 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl1627,plain,
    ( ( ( c0_1 @ a1205 )
      | ( c2_1 @ a1205 ) )
   <= ( ! [X58: $i] :
          ( ( c0_1 @ X58 )
          | ( c2_1 @ X58 )
          | ~ ( c3_1 @ X58 ) )
      & ( c3_1 @ a1205 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl474,zip_derived_cl335]) ).

thf('186',plain,
    ( ( c0_1 @ a1205 )
    | ~ ( c3_1 @ a1205 )
    | ~ ! [X58: $i] :
          ( ( c0_1 @ X58 )
          | ( c2_1 @ X58 )
          | ~ ( c3_1 @ X58 ) )
    | ( c2_1 @ a1205 ) ),
    inference(split,[status(esa)],[zip_derived_cl1627]) ).

thf(zip_derived_cl474_080,plain,
    ( ( c3_1 @ a1205 )
   <= ( c3_1 @ a1205 ) ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf(zip_derived_cl394_081,plain,
    ( ! [X89: $i] :
        ( ( c2_1 @ X89 )
        | ~ ( c0_1 @ X89 )
        | ~ ( c3_1 @ X89 ) )
   <= ! [X89: $i] :
        ( ( c2_1 @ X89 )
        | ~ ( c0_1 @ X89 )
        | ~ ( c3_1 @ X89 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf(zip_derived_cl1542,plain,
    ( ( ( c2_1 @ a1205 )
      | ~ ( c0_1 @ a1205 ) )
   <= ( ! [X89: $i] :
          ( ( c2_1 @ X89 )
          | ~ ( c0_1 @ X89 )
          | ~ ( c3_1 @ X89 ) )
      & ( c3_1 @ a1205 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl474,zip_derived_cl394]) ).

thf('187',plain,
    ( ~ ! [X89: $i] :
          ( ( c2_1 @ X89 )
          | ~ ( c0_1 @ X89 )
          | ~ ( c3_1 @ X89 ) )
    | ~ ( c0_1 @ a1205 )
    | ( c2_1 @ a1205 )
    | ~ ( c3_1 @ a1205 ) ),
    inference(split,[status(esa)],[zip_derived_cl1542]) ).

thf('188',plain,
    ( ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c1_1 @ X86 )
        | ( c2_1 @ X86 ) )
    | ! [X89: $i] :
        ( ( c2_1 @ X89 )
        | ~ ( c0_1 @ X89 )
        | ~ ( c3_1 @ X89 ) )
    | ~ ndr1_0
    | hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf(zip_derived_cl133,plain,
    ( ~ hskp10
    | ~ ( c0_1 @ a1184 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('189',plain,
    ( ~ hskp10
    | ~ ( c0_1 @ a1184 ) ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf(zip_derived_cl134,plain,
    ( ~ hskp10
    | ~ ( c1_1 @ a1184 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('190',plain,
    ( ~ hskp10
    | ~ ( c1_1 @ a1184 ) ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl135,plain,
    ( ~ hskp10
    | ~ ( c2_1 @ a1184 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('191',plain,
    ( ~ hskp10
    | ~ ( c2_1 @ a1184 ) ),
    inference(split,[status(esa)],[zip_derived_cl135]) ).

thf(zip_derived_cl391_082,plain,
    ( ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c1_1 @ X86 )
        | ( c2_1 @ X86 ) )
   <= ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c1_1 @ X86 )
        | ( c2_1 @ X86 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl56]) ).

thf(zip_derived_cl554,plain,
    ( ~ ( c1_1 @ a1184 )
   <= ~ ( c1_1 @ a1184 ) ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl2031,plain,
    ( ( ( c2_1 @ a1184 )
      | ( c0_1 @ a1184 ) )
   <= ( ~ ( c1_1 @ a1184 )
      & ! [X86: $i] :
          ( ( c0_1 @ X86 )
          | ( c1_1 @ X86 )
          | ( c2_1 @ X86 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl391,zip_derived_cl554]) ).

thf('192',plain,
    ( ( c0_1 @ a1184 )
    | ( c1_1 @ a1184 )
    | ~ ! [X86: $i] :
          ( ( c0_1 @ X86 )
          | ( c1_1 @ X86 )
          | ( c2_1 @ X86 ) )
    | ( c2_1 @ a1184 ) ),
    inference(split,[status(esa)],[zip_derived_cl2031]) ).

thf('193',plain,
    ( hskp13
    | hskp10
    | ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl123,plain,
    ( ~ hskp13
    | ~ ( c2_1 @ a1192 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('194',plain,
    ( ~ ( c2_1 @ a1192 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl528_083,plain,
    ( ( c1_1 @ a1192 )
   <= ( c1_1 @ a1192 ) ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl220_084,plain,
    ( ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ( c3_1 @ X7 )
        | ~ ( c1_1 @ X7 ) )
   <= ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ( c3_1 @ X7 )
        | ~ ( c1_1 @ X7 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl1257,plain,
    ( ( ( c2_1 @ a1192 )
      | ( c3_1 @ a1192 ) )
   <= ( ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ( c3_1 @ X7 )
          | ~ ( c1_1 @ X7 ) )
      & ( c1_1 @ a1192 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl528,zip_derived_cl220]) ).

thf('195',plain,
    ( ( c3_1 @ a1192 )
    | ( c2_1 @ a1192 )
    | ~ ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ( c3_1 @ X7 )
          | ~ ( c1_1 @ X7 ) )
    | ~ ( c1_1 @ a1192 ) ),
    inference(split,[status(esa)],[zip_derived_cl1257]) ).

thf(zip_derived_cl528_085,plain,
    ( ( c1_1 @ a1192 )
   <= ( c1_1 @ a1192 ) ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl216_086,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_cl12]) ).

thf(zip_derived_cl1256,plain,
    ( ( ( c3_1 @ a1192 )
      | ~ ( c0_1 @ a1192 ) )
   <= ( ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c1_1 @ X6 ) )
      & ( c1_1 @ a1192 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl528,zip_derived_cl216]) ).

thf(zip_derived_cl4025,plain,
    ( ( c3_1 @ a1192 )
   <= ( c3_1 @ a1192 ) ),
    inference(split,[status(esa)],[zip_derived_cl1256]) ).

thf(zip_derived_cl335_087,plain,
    ( ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c2_1 @ X58 )
        | ~ ( c3_1 @ X58 ) )
   <= ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c2_1 @ X58 )
        | ~ ( c3_1 @ X58 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl4045,plain,
    ( ( ( c0_1 @ a1192 )
      | ( c2_1 @ a1192 ) )
   <= ( ! [X58: $i] :
          ( ( c0_1 @ X58 )
          | ( c2_1 @ X58 )
          | ~ ( c3_1 @ X58 ) )
      & ( c3_1 @ a1192 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4025,zip_derived_cl335]) ).

thf('196',plain,
    ( ~ ( c3_1 @ a1192 )
    | ( c0_1 @ a1192 )
    | ~ ! [X58: $i] :
          ( ( c0_1 @ X58 )
          | ( c2_1 @ X58 )
          | ~ ( c3_1 @ X58 ) )
    | ( c2_1 @ a1192 ) ),
    inference(split,[status(esa)],[zip_derived_cl4045]) ).

thf(zip_derived_cl9269,plain,
    $false,
    inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6','7','8','9','10','11','12','13','14','15','16','17','18','19','20','21','22','23','24','25','26','27','28','29','30','31','32','33','34','35','36','37','38','39','40','41','42','43','44','45','46','47','48','49','50','51','52','53','54','55','56','57','58','59','60','61','62','63','64','65','66','67','68','69','70','71','72','73','74','75','76','77','78','79','80','81','82','83','84','85','86','87','88','89','90','91','92','93','94','95','96','97','98','99','100','101','102','103','104','105','106','107','108','109','110','111','112','113','114','115','116','117','118','119','120','121','122','123','124','125','126','127','128','129','130','131','132','133','134','135','136','137','138','139','140','141','142','143','144','145','146','147','148','149','150','151','152','153','154','155','156','157','158','159','160','161','162','163','164','165','166','167','168','169','170','171','172','173','174','175','176','177','178','179','180','181','182','183','184','185','186','187','188','189','190','191','192','193','194','195','196']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SYN461+1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.15  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.xfpj3ayeQM true
% 0.15/0.36  % Computer : n014.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Sat Aug 26 21:24:32 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  % Running portfolio for 300 s
% 0.15/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36  % Number of cores: 8
% 0.15/0.37  % Python version: Python 3.6.8
% 0.15/0.37  % Running in FO mode
% 0.23/0.68  % Total configuration time : 435
% 0.23/0.68  % Estimated wc time : 1092
% 0.23/0.68  % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.80/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.80/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.80/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.80/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.80/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.80/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 7.97/1.77  % Solved by fo/fo1_av.sh.
% 7.97/1.77  % done 2728 iterations in 0.942s
% 7.97/1.77  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 7.97/1.77  % SZS output start Refutation
% See solution above
% 7.97/1.77  
% 7.97/1.77  
% 7.97/1.78  % Terminating...
% 8.47/1.89  % Runner terminated.
% 8.47/1.90  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------