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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN477+1 : TPTP v9.2.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.d7U78x218L true

% Computer : n003.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 : Thu Oct  2 05:05:02 PM UTC 2025

% Result   : Theorem 6.78s 1.58s
% Output   : Refutation 6.78s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    1
% Syntax   : Number of formulae    :  658 (   1 unt;   0 typ;   0 def)
%            Number of atoms       : 4392 (   0 equ;   0 cnn)
%            Maximal formula atoms :  683 (   6 avg)
%            Number of connectives : 9424 (2250   ~;2723   |; 485   &;3440   @)
%                                         (   0 <=>; 218  =>; 308  <=;   0 <~>)
%            Maximal formula depth :  104 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   64 (  63 usr;  60 con; 0-1 aty)
%            Number of variables   :  786 (   0   ^; 786   !;   0   ?; 786   :)

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

thf(a1210_type,type,
    a1210: $i ).

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

thf(a1224_type,type,
    a1224: $i ).

thf(a1261_type,type,
    a1261: $i ).

thf(a1214_type,type,
    a1214: $i ).

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

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

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

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

thf(a1215_type,type,
    a1215: $i ).

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

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

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

thf(a1206_type,type,
    a1206: $i ).

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

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

thf(a1247_type,type,
    a1247: $i ).

thf(a1259_type,type,
    a1259: $i ).

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

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

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

thf(a1223_type,type,
    a1223: $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(a1219_type,type,
    a1219: $i ).

thf(a1228_type,type,
    a1228: $i ).

thf(a1246_type,type,
    a1246: $i ).

thf(a1257_type,type,
    a1257: $i ).

thf(a1208_type,type,
    a1208: $i ).

thf(a1237_type,type,
    a1237: $i ).

thf(a1233_type,type,
    a1233: $i ).

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

thf(a1250_type,type,
    a1250: $i ).

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

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

thf(a1216_type,type,
    a1216: $i ).

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

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

thf(a1217_type,type,
    a1217: $i ).

thf(a1229_type,type,
    a1229: $i ).

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

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

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

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

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

thf(a1212_type,type,
    a1212: $i ).

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

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

thf(a1267_type,type,
    a1267: $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(a1207_type,type,
    a1207: $i ).

thf(a1213_type,type,
    a1213: $i ).

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

thf(c1_1_type,type,
    c1_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
          & ( c2_1 @ a1205 )
          & ~ ( c0_1 @ a1205 )
          & ~ ( c1_1 @ a1205 ) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & ( c0_1 @ a1206 )
          & ( c2_1 @ a1206 )
          & ~ ( c3_1 @ a1206 ) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & ~ ( c0_1 @ a1207 )
          & ~ ( c1_1 @ a1207 )
          & ~ ( c2_1 @ a1207 ) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & ( c0_1 @ a1210 )
          & ( c1_1 @ a1210 )
          & ~ ( c3_1 @ a1210 ) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & ( c1_1 @ a1211 )
          & ~ ( c0_1 @ a1211 )
          & ~ ( c2_1 @ a1211 ) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & ( c2_1 @ a1212 )
          & ~ ( c0_1 @ a1212 )
          & ~ ( c3_1 @ a1212 ) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & ( c1_1 @ a1215 )
          & ( c2_1 @ a1215 )
          & ~ ( c3_1 @ a1215 ) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & ~ ( c1_1 @ a1216 )
          & ~ ( c2_1 @ a1216 )
          & ~ ( c3_1 @ a1216 ) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & ~ ( c0_1 @ a1217 )
          & ~ ( c1_1 @ a1217 )
          & ~ ( c3_1 @ a1217 ) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & ( c1_1 @ a1219 )
          & ( c2_1 @ a1219 )
          & ~ ( c0_1 @ a1219 ) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & ( c2_1 @ a1223 )
          & ~ ( c1_1 @ a1223 )
          & ~ ( c3_1 @ a1223 ) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & ( c1_1 @ a1224 )
          & ( c3_1 @ a1224 )
          & ~ ( c2_1 @ a1224 ) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & ( c0_1 @ a1228 )
          & ( c3_1 @ a1228 )
          & ~ ( c2_1 @ a1228 ) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & ( c0_1 @ a1229 )
          & ( c2_1 @ a1229 )
          & ~ ( c1_1 @ a1229 ) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & ( c3_1 @ a1232 )
          & ~ ( c0_1 @ a1232 )
          & ~ ( c2_1 @ a1232 ) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & ( c0_1 @ a1233 )
          & ( c1_1 @ a1233 )
          & ~ ( c2_1 @ a1233 ) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & ( c0_1 @ a1236 )
          & ~ ( c1_1 @ a1236 )
          & ~ ( c3_1 @ a1236 ) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & ( c0_1 @ a1237 )
          & ( c3_1 @ a1237 )
          & ~ ( c1_1 @ a1237 ) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & ( c2_1 @ a1246 )
          & ( c3_1 @ a1246 )
          & ~ ( c1_1 @ a1246 ) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & ( c1_1 @ a1247 )
          & ~ ( c2_1 @ a1247 )
          & ~ ( c3_1 @ a1247 ) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & ( c2_1 @ a1250 )
          & ( c3_1 @ a1250 )
          & ~ ( c0_1 @ a1250 ) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & ( c3_1 @ a1257 )
          & ~ ( c0_1 @ a1257 )
          & ~ ( c1_1 @ a1257 ) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & ( c0_1 @ a1259 )
          & ~ ( c2_1 @ a1259 )
          & ~ ( c3_1 @ a1259 ) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & ~ ( c0_1 @ a1261 )
          & ~ ( c2_1 @ a1261 )
          & ~ ( c3_1 @ a1261 ) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & ( c0_1 @ a1267 )
          & ~ ( c1_1 @ a1267 )
          & ~ ( c2_1 @ a1267 ) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & ( c0_1 @ a1204 )
          & ( c2_1 @ a1204 )
          & ( c3_1 @ a1204 ) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & ( c0_1 @ a1208 )
          & ( c1_1 @ a1208 )
          & ( c2_1 @ a1208 ) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & ( c1_1 @ a1213 )
          & ( c2_1 @ a1213 )
          & ( c3_1 @ a1213 ) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & ( c0_1 @ a1214 )
          & ( c1_1 @ a1214 )
          & ( c3_1 @ a1214 ) ) )
      & ( ! [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
           => ( ( c0_1 @ W )
              | ( c3_1 @ W )
              | ~ ( c1_1 @ W ) ) ) )
      & ( ! [X: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X )
              | ( c1_1 @ X )
              | ( c2_1 @ X ) ) )
        | ! [Y: $i] :
            ( ndr1_0
           => ( ( c0_1 @ Y )
              | ( c3_1 @ Y )
              | ~ ( c2_1 @ Y ) ) )
        | ! [Z: $i] :
            ( ndr1_0
           => ( ( c1_1 @ Z )
              | ( c2_1 @ Z )
              | ~ ( c0_1 @ Z ) ) ) )
      & ( ! [X1: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X1 )
              | ( c1_1 @ X1 )
              | ( c2_1 @ X1 ) ) )
        | ! [X2: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X2 )
              | ~ ( c1_1 @ X2 )
              | ~ ( c2_1 @ X2 ) ) )
        | ! [X3: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X3 )
              | ~ ( c0_1 @ X3 )
              | ~ ( c3_1 @ X3 ) ) ) )
      & ( ! [X4: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X4 )
              | ( c1_1 @ X4 )
              | ( c2_1 @ X4 ) ) )
        | hskp25
        | hskp0 )
      & ( ! [X5: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X5 )
              | ( c1_1 @ X5 )
              | ( c2_1 @ X5 ) ) )
        | hskp1
        | hskp2 )
      & ( ! [X6: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X6 )
              | ( c1_1 @ X6 )
              | ( c3_1 @ X6 ) ) )
        | ! [X7: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X7 )
              | ( c2_1 @ X7 )
              | ~ ( c3_1 @ X7 ) ) )
        | hskp26 )
      & ( ! [X8: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X8 )
              | ( c1_1 @ X8 )
              | ~ ( c2_1 @ X8 ) ) )
        | ! [X9: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X9 )
              | ( c2_1 @ X9 )
              | ( c3_1 @ X9 ) ) )
        | ! [X10: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X10 )
              | ~ ( c0_1 @ X10 )
              | ~ ( c3_1 @ X10 ) ) ) )
      & ( ! [X11: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X11 )
              | ( c1_1 @ X11 )
              | ~ ( c2_1 @ X11 ) ) )
        | ! [X12: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X12 )
              | ( c2_1 @ X12 )
              | ( c3_1 @ X12 ) ) )
        | hskp25 )
      & ( ! [X13: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X13 )
              | ( c1_1 @ X13 )
              | ~ ( c3_1 @ X13 ) ) )
        | ! [X14: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X14 )
              | ~ ( c2_1 @ X14 )
              | ~ ( c3_1 @ X14 ) ) )
        | hskp3 )
      & ( ! [X15: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X15 )
              | ( c1_1 @ X15 )
              | ~ ( c3_1 @ X15 ) ) )
        | ! [X16: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X16 )
              | ( c3_1 @ X16 )
              | ~ ( c0_1 @ X16 ) ) )
        | ! [X17: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X17 )
              | ~ ( c2_1 @ X17 )
              | ~ ( c3_1 @ X17 ) ) ) )
      & ( ! [X18: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X18 )
              | ( c1_1 @ X18 )
              | ~ ( c3_1 @ X18 ) ) )
        | ! [X19: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X19 )
              | ( c3_1 @ X19 )
              | ~ ( c0_1 @ X19 ) ) )
        | hskp4 )
      & ( ! [X20: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X20 )
              | ( c1_1 @ X20 )
              | ~ ( c3_1 @ X20 ) ) )
        | ! [X21: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X21 )
              | ~ ( c0_1 @ X21 )
              | ~ ( c2_1 @ X21 ) ) )
        | ! [X22: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X22 )
              | ~ ( c1_1 @ X22 )
              | ~ ( c3_1 @ X22 ) ) ) )
      & ( ! [X23: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X23 )
              | ( c1_1 @ X23 )
              | ~ ( c3_1 @ X23 ) ) )
        | ! [X24: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X24 )
              | ~ ( c1_1 @ X24 )
              | ~ ( c3_1 @ X24 ) ) )
        | hskp5 )
      & ( ! [X25: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X25 )
              | ( c2_1 @ X25 )
              | ( c3_1 @ X25 ) ) )
        | ! [X26: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X26 )
              | ~ ( c0_1 @ X26 )
              | ~ ( c1_1 @ X26 ) ) )
        | hskp27 )
      & ( ! [X27: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X27 )
              | ( c2_1 @ X27 )
              | ( c3_1 @ X27 ) ) )
        | ! [X28: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X28 )
              | ~ ( c1_1 @ X28 )
              | ~ ( c2_1 @ X28 ) ) )
        | ! [X29: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X29 )
              | ~ ( c1_1 @ X29 )
              | ~ ( c3_1 @ X29 ) ) ) )
      & ( ! [X30: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X30 )
              | ( c2_1 @ X30 )
              | ( c3_1 @ X30 ) ) )
        | hskp28 )
      & ( ! [X31: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X31 )
              | ( c2_1 @ X31 )
              | ( c3_1 @ X31 ) ) )
        | hskp6
        | hskp7 )
      & ( ! [X32: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X32 )
              | ( c2_1 @ X32 )
              | ~ ( c1_1 @ X32 ) ) )
        | ! [X33: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X33 )
              | ( c3_1 @ X33 )
              | ~ ( c1_1 @ X33 ) ) )
        | hskp8 )
      & ( ! [X34: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X34 )
              | ( c2_1 @ X34 )
              | ~ ( c1_1 @ X34 ) ) )
        | ! [X35: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X35 )
              | ( c3_1 @ X35 )
              | ~ ( c0_1 @ X35 ) ) )
        | hskp25 )
      & ( ! [X36: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X36 )
              | ( c2_1 @ X36 )
              | ~ ( c3_1 @ X36 ) ) )
        | ! [X37: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X37 )
              | ~ ( c1_1 @ X37 )
              | ~ ( c3_1 @ X37 ) ) )
        | ! [X38: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X38 )
              | ~ ( c1_1 @ X38 )
              | ~ ( c2_1 @ X38 ) ) ) )
      & ( ! [X39: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X39 )
              | ( c3_1 @ X39 )
              | ~ ( c1_1 @ X39 ) ) )
        | ! [X40: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X40 )
              | ( c3_1 @ X40 )
              | ~ ( c0_1 @ X40 ) ) )
        | ! [X41: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X41 )
              | ( c3_1 @ X41 )
              | ~ ( c0_1 @ X41 ) ) ) )
      & ( ! [X42: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X42 )
              | ( c3_1 @ X42 )
              | ~ ( c1_1 @ X42 ) ) )
        | ! [X43: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X43 )
              | ~ ( c2_1 @ X43 )
              | ~ ( c3_1 @ X43 ) ) )
        | hskp9 )
      & ( ! [X44: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X44 )
              | ( c3_1 @ X44 )
              | ~ ( c1_1 @ X44 ) ) )
        | ! [X45: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X45 )
              | ~ ( c2_1 @ X45 )
              | ~ ( c3_1 @ X45 ) ) ) )
      & ( ! [X46: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X46 )
              | ( c3_1 @ X46 )
              | ~ ( c1_1 @ X46 ) ) )
        | hskp27
        | hskp0 )
      & ( ! [X47: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X47 )
              | ( c3_1 @ X47 )
              | ~ ( c2_1 @ X47 ) ) )
        | ! [X48: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X48 )
              | ( c3_1 @ X48 )
              | ~ ( c0_1 @ X48 ) ) )
        | hskp0 )
      & ( ! [X49: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X49 )
              | ( c3_1 @ X49 )
              | ~ ( c2_1 @ X49 ) ) )
        | ! [X50: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X50 )
              | ~ ( c0_1 @ X50 )
              | ~ ( c2_1 @ X50 ) ) )
        | hskp10 )
      & ( ! [X51: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X51 )
              | ( c3_1 @ X51 )
              | ~ ( c2_1 @ X51 ) ) )
        | ! [X52: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X52 )
              | ~ ( c1_1 @ X52 )
              | ~ ( c3_1 @ X52 ) ) )
        | ! [X53: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X53 )
              | ~ ( c2_1 @ X53 )
              | ~ ( c3_1 @ X53 ) ) ) )
      & ( ! [X54: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X54 )
              | ( c3_1 @ X54 )
              | ~ ( c2_1 @ X54 ) ) )
        | hskp11 )
      & ( ! [X55: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X55 )
              | ~ ( c1_1 @ X55 )
              | ~ ( c2_1 @ X55 ) ) )
        | ! [X56: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X56 )
              | ~ ( c0_1 @ X56 )
              | ~ ( c1_1 @ X56 ) ) )
        | hskp1 )
      & ( ! [X57: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X57 )
              | ~ ( c1_1 @ X57 )
              | ~ ( c3_1 @ X57 ) ) )
        | ! [X58: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X58 )
              | ~ ( c2_1 @ X58 )
              | ~ ( c3_1 @ X58 ) ) )
        | hskp3 )
      & ( ! [X59: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X59 )
              | ~ ( c1_1 @ X59 )
              | ~ ( c3_1 @ X59 ) ) )
        | ! [X60: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X60 )
              | ~ ( c1_1 @ X60 )
              | ~ ( c2_1 @ X60 ) ) )
        | hskp11 )
      & ( ! [X61: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X61 )
              | ( c2_1 @ X61 )
              | ( c3_1 @ X61 ) ) )
        | ! [X62: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X62 )
              | ~ ( c0_1 @ X62 )
              | ~ ( c3_1 @ X62 ) ) )
        | hskp12 )
      & ( ! [X63: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X63 )
              | ( c2_1 @ X63 )
              | ( c3_1 @ X63 ) ) )
        | hskp13
        | hskp12 )
      & ( ! [X64: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X64 )
              | ( c2_1 @ X64 )
              | ~ ( c0_1 @ X64 ) ) )
        | ! [X65: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X65 )
              | ( c3_1 @ X65 )
              | ~ ( c0_1 @ X65 ) ) )
        | hskp10 )
      & ( ! [X66: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X66 )
              | ( c2_1 @ X66 )
              | ~ ( c0_1 @ X66 ) ) )
        | ! [X67: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X67 )
              | ( c3_1 @ X67 )
              | ~ ( c1_1 @ X67 ) ) )
        | ! [X68: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X68 )
              | ~ ( c0_1 @ X68 )
              | ~ ( c1_1 @ X68 ) ) ) )
      & ( ! [X69: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X69 )
              | ( c2_1 @ X69 )
              | ~ ( c0_1 @ X69 ) ) )
        | ! [X70: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X70 )
              | ~ ( c0_1 @ X70 )
              | ~ ( c2_1 @ X70 ) ) )
        | hskp14 )
      & ( ! [X71: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X71 )
              | ( c2_1 @ X71 )
              | ~ ( c3_1 @ X71 ) ) )
        | hskp15
        | hskp4 )
      & ( ! [X72: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X72 )
              | ( c2_1 @ X72 )
              | ~ ( c3_1 @ X72 ) ) )
        | hskp1
        | hskp16 )
      & ( ! [X73: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X73 )
              | ( c3_1 @ X73 )
              | ~ ( c0_1 @ X73 ) ) )
        | hskp17
        | hskp5 )
      & ( ! [X74: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X74 )
              | ( c3_1 @ X74 )
              | ~ ( c2_1 @ X74 ) ) )
        | ! [X75: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X75 )
              | ~ ( c0_1 @ X75 )
              | ~ ( c3_1 @ X75 ) ) )
        | hskp9 )
      & ( ! [X76: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X76 )
              | ( c3_1 @ X76 )
              | ~ ( c2_1 @ X76 ) ) )
        | ! [X77: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X77 )
              | ~ ( c1_1 @ X77 )
              | ~ ( c3_1 @ X77 ) ) )
        | hskp14 )
      & ( ! [X78: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X78 )
              | ( c3_1 @ X78 )
              | ~ ( c2_1 @ X78 ) ) )
        | hskp13
        | hskp6 )
      & ( ! [X79: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X79 )
              | ( c3_1 @ X79 )
              | ~ ( c2_1 @ X79 ) ) )
        | hskp13
        | hskp14 )
      & ( ! [X80: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X80 )
              | ~ ( c0_1 @ X80 )
              | ~ ( c2_1 @ X80 ) ) )
        | ! [X81: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X81 )
              | ~ ( c0_1 @ X81 )
              | ~ ( c3_1 @ X81 ) ) )
        | hskp6 )
      & ( ! [X82: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X82 )
              | ~ ( c2_1 @ X82 )
              | ~ ( c3_1 @ X82 ) ) )
        | ! [X83: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X83 )
              | ( c3_1 @ X83 )
              | ~ ( c1_1 @ X83 ) ) )
        | hskp18 )
      & ( ! [X84: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X84 )
              | ~ ( c2_1 @ X84 )
              | ~ ( c3_1 @ X84 ) ) )
        | ! [X85: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X85 )
              | ~ ( c0_1 @ X85 )
              | ~ ( c1_1 @ X85 ) ) )
        | hskp19 )
      & ( ! [X86: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X86 )
              | ( c3_1 @ X86 )
              | ~ ( c0_1 @ X86 ) ) )
        | ! [X87: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X87 )
              | ~ ( c1_1 @ X87 )
              | ~ ( c2_1 @ X87 ) ) ) )
      & ( ! [X88: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X88 )
              | ( c3_1 @ X88 )
              | ~ ( c1_1 @ X88 ) ) )
        | ! [X89: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X89 )
              | ~ ( c1_1 @ X89 )
              | ~ ( c2_1 @ X89 ) ) )
        | hskp0 )
      & ( ! [X90: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X90 )
              | ( c3_1 @ X90 )
              | ~ ( c1_1 @ X90 ) ) )
        | hskp19
        | hskp20 )
      & ( ! [X91: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X91 )
              | ~ ( c0_1 @ X91 )
              | ~ ( c1_1 @ X91 ) ) )
        | ! [X92: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X92 )
              | ~ ( c1_1 @ X92 )
              | ~ ( c2_1 @ X92 ) ) )
        | hskp8 )
      & ( ! [X93: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X93 )
              | ~ ( c0_1 @ X93 )
              | ~ ( c1_1 @ X93 ) ) )
        | ! [X94: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X94 )
              | ~ ( c2_1 @ X94 )
              | ~ ( c3_1 @ X94 ) ) )
        | hskp10 )
      & ( ! [X95: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X95 )
              | ~ ( c0_1 @ X95 )
              | ~ ( c1_1 @ X95 ) ) )
        | hskp11
        | hskp8 )
      & ( ! [X96: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X96 )
              | ~ ( c0_1 @ X96 )
              | ~ ( c3_1 @ X96 ) ) )
        | ! [X97: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X97 )
              | ~ ( c2_1 @ X97 )
              | ~ ( c3_1 @ X97 ) ) )
        | hskp3 )
      & ( ! [X98: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X98 )
              | ~ ( c1_1 @ X98 )
              | ~ ( c2_1 @ X98 ) ) )
        | hskp0
        | hskp21 )
      & ( ! [X99: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X99 )
              | ~ ( c1_1 @ X99 )
              | ~ ( c2_1 @ X99 ) ) )
        | hskp13
        | hskp22 )
      & ( ! [X100: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X100 )
              | ~ ( c1_1 @ X100 )
              | ~ ( c2_1 @ X100 ) ) )
        | hskp0
        | hskp23 )
      & ( ! [X101: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X101 )
              | ~ ( c1_1 @ X101 )
              | ~ ( c3_1 @ X101 ) ) )
        | hskp2
        | hskp7 )
      & ( ! [X102: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X102 )
              | ~ ( c2_1 @ X102 )
              | ~ ( c3_1 @ X102 ) ) )
        | ! [X103: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X103 )
              | ~ ( c2_1 @ X103 )
              | ~ ( c3_1 @ X103 ) ) )
        | hskp1 )
      & ( hskp26
        | hskp28
        | hskp24 )
      & ( hskp26
        | hskp25
        | hskp1 )
      & ( hskp15
        | hskp6
        | hskp5 )
      & ( hskp3
        | hskp24
        | hskp7 )
      & ( hskp25
        | hskp21 )
      & ( hskp17
        | hskp12
        | hskp4 )
      & ( hskp24
        | hskp19
        | hskp14 )
      & ( hskp16
        | hskp20
        | hskp23 )
      & ( hskp22
        | hskp6
        | hskp8 )
      & ( hskp22
        | hskp6
        | hskp7 )
      & ( hskp27
        | hskp19
        | hskp2 )
      & ( hskp4
        | hskp18
        | hskp7 )
      & ( hskp18
        | hskp10
        | hskp2 )
      & ( hskp18
        | hskp14
        | hskp23 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( ~ hskp0
      | ( ndr1_0
        & ( c2_1 @ a1205 )
        & ~ ( c0_1 @ a1205 )
        & ~ ( c1_1 @ a1205 ) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ( c0_1 @ a1206 )
        & ( c2_1 @ a1206 )
        & ~ ( c3_1 @ a1206 ) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ~ ( c0_1 @ a1207 )
        & ~ ( c1_1 @ a1207 )
        & ~ ( c2_1 @ a1207 ) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ( c0_1 @ a1210 )
        & ( c1_1 @ a1210 )
        & ~ ( c3_1 @ a1210 ) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ( c1_1 @ a1211 )
        & ~ ( c0_1 @ a1211 )
        & ~ ( c2_1 @ a1211 ) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ( c2_1 @ a1212 )
        & ~ ( c0_1 @ a1212 )
        & ~ ( c3_1 @ a1212 ) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ( c1_1 @ a1215 )
        & ( c2_1 @ a1215 )
        & ~ ( c3_1 @ a1215 ) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & ~ ( c1_1 @ a1216 )
        & ~ ( c2_1 @ a1216 )
        & ~ ( c3_1 @ a1216 ) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ~ ( c0_1 @ a1217 )
        & ~ ( c1_1 @ a1217 )
        & ~ ( c3_1 @ a1217 ) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ( c1_1 @ a1219 )
        & ( c2_1 @ a1219 )
        & ~ ( c0_1 @ a1219 ) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ( c2_1 @ a1223 )
        & ~ ( c1_1 @ a1223 )
        & ~ ( c3_1 @ a1223 ) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ( c1_1 @ a1224 )
        & ( c3_1 @ a1224 )
        & ~ ( c2_1 @ a1224 ) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ( c0_1 @ a1228 )
        & ( c3_1 @ a1228 )
        & ~ ( c2_1 @ a1228 ) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & ( c0_1 @ a1229 )
        & ( c2_1 @ a1229 )
        & ~ ( c1_1 @ a1229 ) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ( c3_1 @ a1232 )
        & ~ ( c0_1 @ a1232 )
        & ~ ( c2_1 @ a1232 ) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & ( c0_1 @ a1233 )
        & ( c1_1 @ a1233 )
        & ~ ( c2_1 @ a1233 ) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & ( c0_1 @ a1236 )
        & ~ ( c1_1 @ a1236 )
        & ~ ( c3_1 @ a1236 ) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ( c0_1 @ a1237 )
        & ( c3_1 @ a1237 )
        & ~ ( c1_1 @ a1237 ) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ( c2_1 @ a1246 )
        & ( c3_1 @ a1246 )
        & ~ ( c1_1 @ a1246 ) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ( c1_1 @ a1247 )
        & ~ ( c2_1 @ a1247 )
        & ~ ( c3_1 @ a1247 ) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ( c2_1 @ a1250 )
        & ( c3_1 @ a1250 )
        & ~ ( c0_1 @ a1250 ) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & ( c3_1 @ a1257 )
        & ~ ( c0_1 @ a1257 )
        & ~ ( c1_1 @ a1257 ) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ( c0_1 @ a1259 )
        & ~ ( c2_1 @ a1259 )
        & ~ ( c3_1 @ a1259 ) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ~ ( c0_1 @ a1261 )
        & ~ ( c2_1 @ a1261 )
        & ~ ( c3_1 @ a1261 ) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ( c0_1 @ a1267 )
        & ~ ( c1_1 @ a1267 )
        & ~ ( c2_1 @ a1267 ) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ( c0_1 @ a1204 )
        & ( c2_1 @ a1204 )
        & ( c3_1 @ a1204 ) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ( c0_1 @ a1208 )
        & ( c1_1 @ a1208 )
        & ( c2_1 @ a1208 ) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ( c1_1 @ a1213 )
        & ( c2_1 @ a1213 )
        & ( c3_1 @ a1213 ) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & ( c0_1 @ a1214 )
        & ( c1_1 @ a1214 )
        & ( c3_1 @ a1214 ) ) )
    & ( ! [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
         => ( ( c0_1 @ W )
            | ( c3_1 @ W )
            | ~ ( c1_1 @ W ) ) ) )
    & ( ! [X: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X )
            | ( c1_1 @ X )
            | ( c2_1 @ X ) ) )
      | ! [Y: $i] :
          ( ndr1_0
         => ( ( c0_1 @ Y )
            | ( c3_1 @ Y )
            | ~ ( c2_1 @ Y ) ) )
      | ! [Z: $i] :
          ( ndr1_0
         => ( ( c1_1 @ Z )
            | ( c2_1 @ Z )
            | ~ ( c0_1 @ Z ) ) ) )
    & ( ! [X1: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X1 )
            | ( c1_1 @ X1 )
            | ( c2_1 @ X1 ) ) )
      | ! [X2: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X2 )
            | ~ ( c1_1 @ X2 )
            | ~ ( c2_1 @ X2 ) ) )
      | ! [X3: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X3 )
            | ~ ( c0_1 @ X3 )
            | ~ ( c3_1 @ X3 ) ) ) )
    & ( ! [X4: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X4 )
            | ( c1_1 @ X4 )
            | ( c2_1 @ X4 ) ) )
      | hskp25
      | hskp0 )
    & ( ! [X5: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X5 )
            | ( c1_1 @ X5 )
            | ( c2_1 @ X5 ) ) )
      | hskp1
      | hskp2 )
    & ( ! [X6: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X6 )
            | ( c1_1 @ X6 )
            | ( c3_1 @ X6 ) ) )
      | ! [X7: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X7 )
            | ( c2_1 @ X7 )
            | ~ ( c3_1 @ X7 ) ) )
      | hskp26 )
    & ( ! [X8: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X8 )
            | ( c1_1 @ X8 )
            | ~ ( c2_1 @ X8 ) ) )
      | ! [X9: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X9 )
            | ( c2_1 @ X9 )
            | ( c3_1 @ X9 ) ) )
      | ! [X10: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X10 )
            | ~ ( c0_1 @ X10 )
            | ~ ( c3_1 @ X10 ) ) ) )
    & ( ! [X11: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X11 )
            | ( c1_1 @ X11 )
            | ~ ( c2_1 @ X11 ) ) )
      | ! [X12: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X12 )
            | ( c2_1 @ X12 )
            | ( c3_1 @ X12 ) ) )
      | hskp25 )
    & ( ! [X13: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X13 )
            | ( c1_1 @ X13 )
            | ~ ( c3_1 @ X13 ) ) )
      | ! [X14: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X14 )
            | ~ ( c2_1 @ X14 )
            | ~ ( c3_1 @ X14 ) ) )
      | hskp3 )
    & ( ! [X15: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X15 )
            | ( c1_1 @ X15 )
            | ~ ( c3_1 @ X15 ) ) )
      | ! [X16: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X16 )
            | ( c3_1 @ X16 )
            | ~ ( c0_1 @ X16 ) ) )
      | ! [X17: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X17 )
            | ~ ( c2_1 @ X17 )
            | ~ ( c3_1 @ X17 ) ) ) )
    & ( ! [X18: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X18 )
            | ( c1_1 @ X18 )
            | ~ ( c3_1 @ X18 ) ) )
      | ! [X19: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X19 )
            | ( c3_1 @ X19 )
            | ~ ( c0_1 @ X19 ) ) )
      | hskp4 )
    & ( ! [X20: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X20 )
            | ( c1_1 @ X20 )
            | ~ ( c3_1 @ X20 ) ) )
      | ! [X21: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X21 )
            | ~ ( c0_1 @ X21 )
            | ~ ( c2_1 @ X21 ) ) )
      | ! [X22: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X22 )
            | ~ ( c1_1 @ X22 )
            | ~ ( c3_1 @ X22 ) ) ) )
    & ( ! [X23: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X23 )
            | ( c1_1 @ X23 )
            | ~ ( c3_1 @ X23 ) ) )
      | ! [X24: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X24 )
            | ~ ( c1_1 @ X24 )
            | ~ ( c3_1 @ X24 ) ) )
      | hskp5 )
    & ( ! [X25: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X25 )
            | ( c2_1 @ X25 )
            | ( c3_1 @ X25 ) ) )
      | ! [X26: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X26 )
            | ~ ( c0_1 @ X26 )
            | ~ ( c1_1 @ X26 ) ) )
      | hskp27 )
    & ( ! [X27: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X27 )
            | ( c2_1 @ X27 )
            | ( c3_1 @ X27 ) ) )
      | ! [X28: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X28 )
            | ~ ( c1_1 @ X28 )
            | ~ ( c2_1 @ X28 ) ) )
      | ! [X29: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X29 )
            | ~ ( c1_1 @ X29 )
            | ~ ( c3_1 @ X29 ) ) ) )
    & ( ! [X30: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X30 )
            | ( c2_1 @ X30 )
            | ( c3_1 @ X30 ) ) )
      | hskp28 )
    & ( ! [X31: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X31 )
            | ( c2_1 @ X31 )
            | ( c3_1 @ X31 ) ) )
      | hskp6
      | hskp7 )
    & ( ! [X32: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X32 )
            | ( c2_1 @ X32 )
            | ~ ( c1_1 @ X32 ) ) )
      | ! [X33: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X33 )
            | ( c3_1 @ X33 )
            | ~ ( c1_1 @ X33 ) ) )
      | hskp8 )
    & ( ! [X34: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X34 )
            | ( c2_1 @ X34 )
            | ~ ( c1_1 @ X34 ) ) )
      | ! [X35: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X35 )
            | ( c3_1 @ X35 )
            | ~ ( c0_1 @ X35 ) ) )
      | hskp25 )
    & ( ! [X36: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X36 )
            | ( c2_1 @ X36 )
            | ~ ( c3_1 @ X36 ) ) )
      | ! [X37: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X37 )
            | ~ ( c1_1 @ X37 )
            | ~ ( c3_1 @ X37 ) ) )
      | ! [X38: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X38 )
            | ~ ( c1_1 @ X38 )
            | ~ ( c2_1 @ X38 ) ) ) )
    & ( ! [X39: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X39 )
            | ( c3_1 @ X39 )
            | ~ ( c1_1 @ X39 ) ) )
      | ! [X40: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X40 )
            | ( c3_1 @ X40 )
            | ~ ( c0_1 @ X40 ) ) )
      | ! [X41: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X41 )
            | ( c3_1 @ X41 )
            | ~ ( c0_1 @ X41 ) ) ) )
    & ( ! [X42: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X42 )
            | ( c3_1 @ X42 )
            | ~ ( c1_1 @ X42 ) ) )
      | ! [X43: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X43 )
            | ~ ( c2_1 @ X43 )
            | ~ ( c3_1 @ X43 ) ) )
      | hskp9 )
    & ( ! [X44: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X44 )
            | ( c3_1 @ X44 )
            | ~ ( c1_1 @ X44 ) ) )
      | ! [X45: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X45 )
            | ~ ( c2_1 @ X45 )
            | ~ ( c3_1 @ X45 ) ) ) )
    & ( ! [X46: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X46 )
            | ( c3_1 @ X46 )
            | ~ ( c1_1 @ X46 ) ) )
      | hskp27
      | hskp0 )
    & ( ! [X47: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X47 )
            | ( c3_1 @ X47 )
            | ~ ( c2_1 @ X47 ) ) )
      | ! [X48: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X48 )
            | ( c3_1 @ X48 )
            | ~ ( c0_1 @ X48 ) ) )
      | hskp0 )
    & ( ! [X49: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X49 )
            | ( c3_1 @ X49 )
            | ~ ( c2_1 @ X49 ) ) )
      | ! [X50: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X50 )
            | ~ ( c0_1 @ X50 )
            | ~ ( c2_1 @ X50 ) ) )
      | hskp10 )
    & ( ! [X51: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X51 )
            | ( c3_1 @ X51 )
            | ~ ( c2_1 @ X51 ) ) )
      | ! [X52: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X52 )
            | ~ ( c1_1 @ X52 )
            | ~ ( c3_1 @ X52 ) ) )
      | ! [X53: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X53 )
            | ~ ( c2_1 @ X53 )
            | ~ ( c3_1 @ X53 ) ) ) )
    & ( ! [X54: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X54 )
            | ( c3_1 @ X54 )
            | ~ ( c2_1 @ X54 ) ) )
      | hskp11 )
    & ( ! [X55: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X55 )
            | ~ ( c1_1 @ X55 )
            | ~ ( c2_1 @ X55 ) ) )
      | ! [X56: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X56 )
            | ~ ( c0_1 @ X56 )
            | ~ ( c1_1 @ X56 ) ) )
      | hskp1 )
    & ( ! [X57: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X57 )
            | ~ ( c1_1 @ X57 )
            | ~ ( c3_1 @ X57 ) ) )
      | ! [X58: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X58 )
            | ~ ( c2_1 @ X58 )
            | ~ ( c3_1 @ X58 ) ) )
      | hskp3 )
    & ( ! [X59: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X59 )
            | ~ ( c1_1 @ X59 )
            | ~ ( c3_1 @ X59 ) ) )
      | ! [X60: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X60 )
            | ~ ( c1_1 @ X60 )
            | ~ ( c2_1 @ X60 ) ) )
      | hskp11 )
    & ( ! [X61: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X61 )
            | ( c2_1 @ X61 )
            | ( c3_1 @ X61 ) ) )
      | ! [X62: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X62 )
            | ~ ( c0_1 @ X62 )
            | ~ ( c3_1 @ X62 ) ) )
      | hskp12 )
    & ( ! [X63: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X63 )
            | ( c2_1 @ X63 )
            | ( c3_1 @ X63 ) ) )
      | hskp13
      | hskp12 )
    & ( ! [X64: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X64 )
            | ( c2_1 @ X64 )
            | ~ ( c0_1 @ X64 ) ) )
      | ! [X65: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X65 )
            | ( c3_1 @ X65 )
            | ~ ( c0_1 @ X65 ) ) )
      | hskp10 )
    & ( ! [X66: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X66 )
            | ( c2_1 @ X66 )
            | ~ ( c0_1 @ X66 ) ) )
      | ! [X67: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X67 )
            | ( c3_1 @ X67 )
            | ~ ( c1_1 @ X67 ) ) )
      | ! [X68: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X68 )
            | ~ ( c0_1 @ X68 )
            | ~ ( c1_1 @ X68 ) ) ) )
    & ( ! [X69: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X69 )
            | ( c2_1 @ X69 )
            | ~ ( c0_1 @ X69 ) ) )
      | ! [X70: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X70 )
            | ~ ( c0_1 @ X70 )
            | ~ ( c2_1 @ X70 ) ) )
      | hskp14 )
    & ( ! [X71: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X71 )
            | ( c2_1 @ X71 )
            | ~ ( c3_1 @ X71 ) ) )
      | hskp15
      | hskp4 )
    & ( ! [X72: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X72 )
            | ( c2_1 @ X72 )
            | ~ ( c3_1 @ X72 ) ) )
      | hskp1
      | hskp16 )
    & ( ! [X73: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X73 )
            | ( c3_1 @ X73 )
            | ~ ( c0_1 @ X73 ) ) )
      | hskp17
      | hskp5 )
    & ( ! [X74: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X74 )
            | ( c3_1 @ X74 )
            | ~ ( c2_1 @ X74 ) ) )
      | ! [X75: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X75 )
            | ~ ( c0_1 @ X75 )
            | ~ ( c3_1 @ X75 ) ) )
      | hskp9 )
    & ( ! [X76: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X76 )
            | ( c3_1 @ X76 )
            | ~ ( c2_1 @ X76 ) ) )
      | ! [X77: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X77 )
            | ~ ( c1_1 @ X77 )
            | ~ ( c3_1 @ X77 ) ) )
      | hskp14 )
    & ( ! [X78: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X78 )
            | ( c3_1 @ X78 )
            | ~ ( c2_1 @ X78 ) ) )
      | hskp13
      | hskp6 )
    & ( ! [X79: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X79 )
            | ( c3_1 @ X79 )
            | ~ ( c2_1 @ X79 ) ) )
      | hskp13
      | hskp14 )
    & ( ! [X80: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X80 )
            | ~ ( c0_1 @ X80 )
            | ~ ( c2_1 @ X80 ) ) )
      | ! [X81: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X81 )
            | ~ ( c0_1 @ X81 )
            | ~ ( c3_1 @ X81 ) ) )
      | hskp6 )
    & ( ! [X82: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X82 )
            | ~ ( c2_1 @ X82 )
            | ~ ( c3_1 @ X82 ) ) )
      | ! [X83: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X83 )
            | ( c3_1 @ X83 )
            | ~ ( c1_1 @ X83 ) ) )
      | hskp18 )
    & ( ! [X84: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X84 )
            | ~ ( c2_1 @ X84 )
            | ~ ( c3_1 @ X84 ) ) )
      | ! [X85: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X85 )
            | ~ ( c0_1 @ X85 )
            | ~ ( c1_1 @ X85 ) ) )
      | hskp19 )
    & ( ! [X86: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X86 )
            | ( c3_1 @ X86 )
            | ~ ( c0_1 @ X86 ) ) )
      | ! [X87: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X87 )
            | ~ ( c1_1 @ X87 )
            | ~ ( c2_1 @ X87 ) ) ) )
    & ( ! [X88: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X88 )
            | ( c3_1 @ X88 )
            | ~ ( c1_1 @ X88 ) ) )
      | ! [X89: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X89 )
            | ~ ( c1_1 @ X89 )
            | ~ ( c2_1 @ X89 ) ) )
      | hskp0 )
    & ( ! [X90: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X90 )
            | ( c3_1 @ X90 )
            | ~ ( c1_1 @ X90 ) ) )
      | hskp19
      | hskp20 )
    & ( ! [X91: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X91 )
            | ~ ( c0_1 @ X91 )
            | ~ ( c1_1 @ X91 ) ) )
      | ! [X92: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X92 )
            | ~ ( c1_1 @ X92 )
            | ~ ( c2_1 @ X92 ) ) )
      | hskp8 )
    & ( ! [X93: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X93 )
            | ~ ( c0_1 @ X93 )
            | ~ ( c1_1 @ X93 ) ) )
      | ! [X94: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X94 )
            | ~ ( c2_1 @ X94 )
            | ~ ( c3_1 @ X94 ) ) )
      | hskp10 )
    & ( ! [X95: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X95 )
            | ~ ( c0_1 @ X95 )
            | ~ ( c1_1 @ X95 ) ) )
      | hskp11
      | hskp8 )
    & ( ! [X96: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X96 )
            | ~ ( c0_1 @ X96 )
            | ~ ( c3_1 @ X96 ) ) )
      | ! [X97: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X97 )
            | ~ ( c2_1 @ X97 )
            | ~ ( c3_1 @ X97 ) ) )
      | hskp3 )
    & ( ! [X98: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X98 )
            | ~ ( c1_1 @ X98 )
            | ~ ( c2_1 @ X98 ) ) )
      | hskp0
      | hskp21 )
    & ( ! [X99: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X99 )
            | ~ ( c1_1 @ X99 )
            | ~ ( c2_1 @ X99 ) ) )
      | hskp13
      | hskp22 )
    & ( ! [X100: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X100 )
            | ~ ( c1_1 @ X100 )
            | ~ ( c2_1 @ X100 ) ) )
      | hskp0
      | hskp23 )
    & ( ! [X101: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X101 )
            | ~ ( c1_1 @ X101 )
            | ~ ( c3_1 @ X101 ) ) )
      | hskp2
      | hskp7 )
    & ( ! [X102: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X102 )
            | ~ ( c2_1 @ X102 )
            | ~ ( c3_1 @ X102 ) ) )
      | ! [X103: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X103 )
            | ~ ( c2_1 @ X103 )
            | ~ ( c3_1 @ X103 ) ) )
      | hskp1 )
    & ( hskp26
      | hskp28
      | hskp24 )
    & ( hskp26
      | hskp25
      | hskp1 )
    & ( hskp15
      | hskp6
      | hskp5 )
    & ( hskp3
      | hskp24
      | hskp7 )
    & ( hskp25
      | hskp21 )
    & ( hskp17
      | hskp12
      | hskp4 )
    & ( hskp24
      | hskp19
      | hskp14 )
    & ( hskp16
      | hskp20
      | hskp23 )
    & ( hskp22
      | hskp6
      | hskp8 )
    & ( hskp22
      | hskp6
      | hskp7 )
    & ( hskp27
      | hskp19
      | hskp2 )
    & ( hskp4
      | hskp18
      | hskp7 )
    & ( hskp18
      | hskp10
      | hskp2 )
    & ( hskp18
      | hskp14
      | hskp23 ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl174,plain,
    ( ~ hskp3
    | ( c1_1 @ a1210 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl661,plain,
    ( ( c1_1 @ a1210 )
   <= ( c1_1 @ a1210 ) ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf(zip_derived_cl18,plain,
    ! [X5: $i] :
      ( ( c3_1 @ X5 )
      | ~ ( c1_1 @ X5 )
      | ~ ( c2_1 @ X5 )
      | ~ ndr1_0
      | hskp0
      | hskp21 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl245,plain,
    ( ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl1105,plain,
    ( ( ( c3_1 @ a1210 )
      | ~ ( c2_1 @ a1210 ) )
   <= ( ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
      & ( c1_1 @ a1210 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl661,zip_derived_cl245]) ).

thf('0',plain,
    ( ~ ( c2_1 @ a1210 )
    | ( c3_1 @ a1210 )
    | ~ ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
    | ~ ( c1_1 @ a1210 ) ),
    inference(split,[status(esa)],[zip_derived_cl1105]) ).

thf(zip_derived_cl77,plain,
    ( ~ hskp27
    | ( c1_1 @ a1213 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl467,plain,
    ( ( c1_1 @ a1213 )
   <= ( c1_1 @ a1213 ) ),
    inference(split,[status(esa)],[zip_derived_cl77]) ).

thf(zip_derived_cl43,plain,
    ! [X47: $i,X48: $i] :
      ( ( c0_1 @ X47 )
      | ~ ( c1_1 @ X47 )
      | ~ ( c2_1 @ X47 )
      | ~ ndr1_0
      | ( c2_1 @ X48 )
      | ~ ( c0_1 @ X48 )
      | ~ ( c1_1 @ X48 )
      | ~ ndr1_0
      | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl344,plain,
    ( ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c1_1 @ X47 )
        | ~ ( c2_1 @ X47 ) )
   <= ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c1_1 @ X47 )
        | ~ ( c2_1 @ X47 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl1252,plain,
    ( ( ( c0_1 @ a1213 )
      | ~ ( c2_1 @ a1213 ) )
   <= ( ! [X47: $i] :
          ( ( c0_1 @ X47 )
          | ~ ( c1_1 @ X47 )
          | ~ ( c2_1 @ X47 ) )
      & ( c1_1 @ a1213 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl467,zip_derived_cl344]) ).

thf('1',plain,
    ( ~ ! [X47: $i] :
          ( ( c0_1 @ X47 )
          | ~ ( c1_1 @ X47 )
          | ~ ( c2_1 @ X47 ) )
    | ( c0_1 @ a1213 )
    | ~ ( c2_1 @ a1213 )
    | ~ ( c1_1 @ a1213 ) ),
    inference(split,[status(esa)],[zip_derived_cl1252]) ).

thf(zip_derived_cl467_001,plain,
    ( ( c1_1 @ a1213 )
   <= ( c1_1 @ a1213 ) ),
    inference(split,[status(esa)],[zip_derived_cl77]) ).

thf(zip_derived_cl16,plain,
    ! [X3: $i] :
      ( ~ ( c0_1 @ X3 )
      | ~ ( c1_1 @ X3 )
      | ~ ( c2_1 @ X3 )
      | ~ ndr1_0
      | hskp0
      | hskp23 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl237,plain,
    ( ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl792,plain,
    ( ( ~ ( c0_1 @ a1213 )
      | ~ ( c2_1 @ a1213 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ( c1_1 @ a1213 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl467,zip_derived_cl237]) ).

thf('2',plain,
    ( ~ ( c0_1 @ a1213 )
    | ~ ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
    | ~ ( c1_1 @ a1213 )
    | ~ ( c2_1 @ a1213 ) ),
    inference(split,[status(esa)],[zip_derived_cl792]) ).

thf(zip_derived_cl22,plain,
    ! [X11: $i,X12: $i] :
      ( ( c2_1 @ X11 )
      | ~ ( c0_1 @ X11 )
      | ~ ( c1_1 @ X11 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X12 )
      | ~ ( c1_1 @ X12 )
      | ~ ( c2_1 @ X12 )
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('3',plain,
    ( hskp8
    | ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
    | ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c1_1 @ X8 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl126,plain,
    ( ~ hskp15
    | ( c1_1 @ a1233 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl565,plain,
    ( ( c1_1 @ a1233 )
   <= ( c1_1 @ a1233 ) ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl23,plain,
    ! [X13: $i] :
      ( ( c2_1 @ X13 )
      | ( c3_1 @ X13 )
      | ~ ( c1_1 @ X13 )
      | ~ ndr1_0
      | hskp19
      | hskp20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl265,plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c1_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c1_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl1010,plain,
    ( ( ( c2_1 @ a1233 )
      | ( c3_1 @ a1233 ) )
   <= ( ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ( c3_1 @ X13 )
          | ~ ( c1_1 @ X13 ) )
      & ( c1_1 @ a1233 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl565,zip_derived_cl265]) ).

thf('4',plain,
    ( ~ ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ( c3_1 @ X13 )
          | ~ ( c1_1 @ X13 ) )
    | ( c3_1 @ a1233 )
    | ( c2_1 @ a1233 )
    | ~ ( c1_1 @ a1233 ) ),
    inference(split,[status(esa)],[zip_derived_cl1010]) ).

thf(zip_derived_cl149,plain,
    ( ~ hskp9
    | ( c1_1 @ a1219 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('5',plain,
    ( ( c1_1 @ a1219 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl44,plain,
    ! [X49: $i] :
      ( ( c0_1 @ X49 )
      | ( c3_1 @ X49 )
      | ~ ( c2_1 @ X49 )
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl348,plain,
    ( ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ( c3_1 @ X49 )
        | ~ ( c2_1 @ X49 ) )
   <= ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ( c3_1 @ X49 )
        | ~ ( c2_1 @ X49 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl44]) ).

thf(zip_derived_cl611,plain,
    ( ( c1_1 @ a1219 )
   <= ( c1_1 @ a1219 ) ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( c0_1 @ X0 )
      | ~ ( c2_1 @ X0 )
      | ~ ( c3_1 @ X0 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X1 )
      | ~ ( c2_1 @ X1 )
      | ~ ( c3_1 @ X1 )
      | ~ ndr1_0
      | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl229,plain,
    ( ! [X1: $i] :
        ( ~ ( c1_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c1_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl1039,plain,
    ( ( ~ ( c2_1 @ a1219 )
      | ~ ( c3_1 @ a1219 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c1_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ( c1_1 @ a1219 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl611,zip_derived_cl229]) ).

thf(zip_derived_cl1536,plain,
    ( ~ ( c3_1 @ a1219 )
   <= ~ ( c3_1 @ a1219 ) ),
    inference(split,[status(esa)],[zip_derived_cl1039]) ).

thf(zip_derived_cl1685,plain,
    ( ( ~ ( c2_1 @ a1219 )
      | ( c0_1 @ a1219 ) )
   <= ( ~ ( c3_1 @ a1219 )
      & ! [X49: $i] :
          ( ( c0_1 @ X49 )
          | ( c3_1 @ X49 )
          | ~ ( c2_1 @ X49 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl348,zip_derived_cl1536]) ).

thf('6',plain,
    ( ( c3_1 @ a1219 )
    | ~ ( c2_1 @ a1219 )
    | ~ ! [X49: $i] :
          ( ( c0_1 @ X49 )
          | ( c3_1 @ X49 )
          | ~ ( c2_1 @ X49 ) )
    | ( c0_1 @ a1219 ) ),
    inference(split,[status(esa)],[zip_derived_cl1685]) ).

thf(zip_derived_cl150,plain,
    ( ~ hskp9
    | ( c2_1 @ a1219 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('7',plain,
    ( ( c2_1 @ a1219 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf(zip_derived_cl151,plain,
    ( ~ hskp9
    | ~ ( c0_1 @ a1219 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('8',plain,
    ( ~ ( c0_1 @ a1219 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl32,plain,
    ! [X28: $i,X29: $i] :
      ( ( c1_1 @ X28 )
      | ( c3_1 @ X28 )
      | ~ ( c2_1 @ X28 )
      | ~ ndr1_0
      | ( c1_1 @ X29 )
      | ~ ( c0_1 @ X29 )
      | ~ ( c3_1 @ X29 )
      | ~ ndr1_0
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('9',plain,
    ( hskp9
    | ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ~ ( c0_1 @ X29 )
        | ~ ( c3_1 @ X29 ) )
    | ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ( c3_1 @ X24 )
        | ~ ( c2_1 @ X24 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl300,plain,
    ( ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ~ ( c0_1 @ X29 )
        | ~ ( c3_1 @ X29 ) )
   <= ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ~ ( c0_1 @ X29 )
        | ~ ( c3_1 @ X29 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl15,plain,
    ! [X2: $i] :
      ( ~ ( c0_1 @ X2 )
      | ~ ( c1_1 @ X2 )
      | ~ ( c3_1 @ X2 )
      | ~ ndr1_0
      | hskp2
      | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl233,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl1122,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ! [X29: $i] :
          ( ( c1_1 @ X29 )
          | ~ ( c0_1 @ X29 )
          | ~ ( c3_1 @ X29 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl300,zip_derived_cl233]) ).

thf(zip_derived_cl1151,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ! [X29: $i] :
          ( ( c1_1 @ X29 )
          | ~ ( c0_1 @ X29 )
          | ~ ( c3_1 @ X29 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1122]) ).

thf(zip_derived_cl87,plain,
    ( ~ hskp25
    | ( c3_1 @ a1204 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl487,plain,
    ( ( c3_1 @ a1204 )
   <= ( c3_1 @ a1204 ) ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl2099,plain,
    ( ~ ( c0_1 @ a1204 )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ! [X29: $i] :
          ( ( c1_1 @ X29 )
          | ~ ( c0_1 @ X29 )
          | ~ ( c3_1 @ X29 ) )
      & ( c3_1 @ a1204 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1151,zip_derived_cl487]) ).

thf(zip_derived_cl85,plain,
    ( ~ hskp25
    | ( c0_1 @ a1204 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl483,plain,
    ( ( c0_1 @ a1204 )
   <= ( c0_1 @ a1204 ) ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf('10',plain,
    ( ~ ! [X29: $i] :
          ( ( c1_1 @ X29 )
          | ~ ( c0_1 @ X29 )
          | ~ ( c3_1 @ X29 ) )
    | ~ ( c3_1 @ a1204 )
    | ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ~ ( c0_1 @ a1204 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2099,zip_derived_cl483]) ).

thf(zip_derived_cl20,plain,
    ! [X8: $i] :
      ( ( c2_1 @ X8 )
      | ~ ( c0_1 @ X8 )
      | ~ ( c1_1 @ X8 )
      | ~ ndr1_0
      | hskp11
      | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('11',plain,
    ( hskp11
    | hskp8
    | ~ ndr1_0
    | ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c1_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl55,plain,
    ! [X72: $i] :
      ( ( c0_1 @ X72 )
      | ( c2_1 @ X72 )
      | ( c3_1 @ X72 )
      | ~ ndr1_0
      | hskp6
      | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl390,plain,
    ( ! [X72: $i] :
        ( ( c0_1 @ X72 )
        | ( c2_1 @ X72 )
        | ( c3_1 @ X72 ) )
   <= ! [X72: $i] :
        ( ( c0_1 @ X72 )
        | ( c2_1 @ X72 )
        | ( c3_1 @ X72 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf(zip_derived_cl155,plain,
    ( ~ hskp8
    | ~ ( c3_1 @ a1217 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl623,plain,
    ( ~ ( c3_1 @ a1217 )
   <= ~ ( c3_1 @ a1217 ) ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf(zip_derived_cl1765,plain,
    ( ( ( c2_1 @ a1217 )
      | ( c0_1 @ a1217 ) )
   <= ( ~ ( c3_1 @ a1217 )
      & ! [X72: $i] :
          ( ( c0_1 @ X72 )
          | ( c2_1 @ X72 )
          | ( c3_1 @ X72 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl390,zip_derived_cl623]) ).

thf('12',plain,
    ( ( c2_1 @ a1217 )
    | ~ ! [X72: $i] :
          ( ( c0_1 @ X72 )
          | ( c2_1 @ X72 )
          | ( c3_1 @ X72 ) )
    | ( c0_1 @ a1217 )
    | ( c3_1 @ a1217 ) ),
    inference(split,[status(esa)],[zip_derived_cl1765]) ).

thf(zip_derived_cl348_002,plain,
    ( ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ( c3_1 @ X49 )
        | ~ ( c2_1 @ X49 ) )
   <= ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ( c3_1 @ X49 )
        | ~ ( c2_1 @ X49 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl44]) ).

thf(zip_derived_cl623_003,plain,
    ( ~ ( c3_1 @ a1217 )
   <= ~ ( c3_1 @ a1217 ) ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf(zip_derived_cl1684,plain,
    ( ( ~ ( c2_1 @ a1217 )
      | ( c0_1 @ a1217 ) )
   <= ( ~ ( c3_1 @ a1217 )
      & ! [X49: $i] :
          ( ( c0_1 @ X49 )
          | ( c3_1 @ X49 )
          | ~ ( c2_1 @ X49 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl348,zip_derived_cl623]) ).

thf('13',plain,
    ( ~ ( c2_1 @ a1217 )
    | ( c0_1 @ a1217 )
    | ~ ! [X49: $i] :
          ( ( c0_1 @ X49 )
          | ( c3_1 @ X49 )
          | ~ ( c2_1 @ X49 ) )
    | ( c3_1 @ a1217 ) ),
    inference(split,[status(esa)],[zip_derived_cl1684]) ).

thf(zip_derived_cl611_004,plain,
    ( ( c1_1 @ a1219 )
   <= ( c1_1 @ a1219 ) ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl245_005,plain,
    ( ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl1042,plain,
    ( ( ( c3_1 @ a1219 )
      | ~ ( c2_1 @ a1219 ) )
   <= ( ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
      & ( c1_1 @ a1219 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl611,zip_derived_cl245]) ).

thf(zip_derived_cl3724,plain,
    ( ( c3_1 @ a1219 )
   <= ( c3_1 @ a1219 ) ),
    inference(split,[status(esa)],[zip_derived_cl1042]) ).

thf(zip_derived_cl42,plain,
    ! [X45: $i,X46: $i] :
      ( ( c0_1 @ X45 )
      | ~ ( c1_1 @ X45 )
      | ~ ( c3_1 @ X45 )
      | ~ ndr1_0
      | ( c0_1 @ X46 )
      | ~ ( c2_1 @ X46 )
      | ~ ( c3_1 @ X46 )
      | ~ ndr1_0
      | hskp3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl340,plain,
    ( ! [X46: $i] :
        ( ( c0_1 @ X46 )
        | ~ ( c2_1 @ X46 )
        | ~ ( c3_1 @ X46 ) )
   <= ! [X46: $i] :
        ( ( c0_1 @ X46 )
        | ~ ( c2_1 @ X46 )
        | ~ ( c3_1 @ X46 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl3738,plain,
    ( ( ( c0_1 @ a1219 )
      | ~ ( c2_1 @ a1219 ) )
   <= ( ! [X46: $i] :
          ( ( c0_1 @ X46 )
          | ~ ( c2_1 @ X46 )
          | ~ ( c3_1 @ X46 ) )
      & ( c3_1 @ a1219 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3724,zip_derived_cl340]) ).

thf('14',plain,
    ( ~ ( c3_1 @ a1219 )
    | ~ ( c2_1 @ a1219 )
    | ~ ! [X46: $i] :
          ( ( c0_1 @ X46 )
          | ~ ( c2_1 @ X46 )
          | ~ ( c3_1 @ X46 ) )
    | ( c0_1 @ a1219 ) ),
    inference(split,[status(esa)],[zip_derived_cl3738]) ).

thf(zip_derived_cl611_006,plain,
    ( ( c1_1 @ a1219 )
   <= ( c1_1 @ a1219 ) ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl48,plain,
    ! [X57: $i] :
      ( ( c0_1 @ X57 )
      | ( c3_1 @ X57 )
      | ~ ( c1_1 @ X57 )
      | ~ ndr1_0
      | hskp27
      | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl363,plain,
    ( ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ( c3_1 @ X57 )
        | ~ ( c1_1 @ X57 ) )
   <= ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ( c3_1 @ X57 )
        | ~ ( c1_1 @ X57 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl1518,plain,
    ( ( ( c0_1 @ a1219 )
      | ( c3_1 @ a1219 ) )
   <= ( ! [X57: $i] :
          ( ( c0_1 @ X57 )
          | ( c3_1 @ X57 )
          | ~ ( c1_1 @ X57 ) )
      & ( c1_1 @ a1219 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl611,zip_derived_cl363]) ).

thf('15',plain,
    ( ( c3_1 @ a1219 )
    | ~ ( c1_1 @ a1219 )
    | ~ ! [X57: $i] :
          ( ( c0_1 @ X57 )
          | ( c3_1 @ X57 )
          | ~ ( c1_1 @ X57 ) )
    | ( c0_1 @ a1219 ) ),
    inference(split,[status(esa)],[zip_derived_cl1518]) ).

thf(zip_derived_cl29,plain,
    ! [X24: $i] :
      ( ( c1_1 @ X24 )
      | ( c3_1 @ X24 )
      | ~ ( c2_1 @ X24 )
      | ~ ndr1_0
      | hskp13
      | hskp14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl288,plain,
    ( ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ( c3_1 @ X24 )
        | ~ ( c2_1 @ X24 ) )
   <= ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ( c3_1 @ X24 )
        | ~ ( c2_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl90,plain,
    ( ~ hskp24
    | ~ ( c1_1 @ a1267 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl493,plain,
    ( ~ ( c1_1 @ a1267 )
   <= ~ ( c1_1 @ a1267 ) ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl987,plain,
    ( ( ~ ( c2_1 @ a1267 )
      | ( c3_1 @ a1267 ) )
   <= ( ~ ( c1_1 @ a1267 )
      & ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ( c3_1 @ X24 )
          | ~ ( c2_1 @ X24 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl288,zip_derived_cl493]) ).

thf(zip_derived_cl3311,plain,
    ( ( c3_1 @ a1267 )
   <= ( c3_1 @ a1267 ) ),
    inference(split,[status(esa)],[zip_derived_cl987]) ).

thf(zip_derived_cl19,plain,
    ! [X6: $i,X7: $i] :
      ( ( c2_1 @ X6 )
      | ~ ( c0_1 @ X6 )
      | ~ ( c3_1 @ X6 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X7 )
      | ~ ( c2_1 @ X7 )
      | ~ ( c3_1 @ X7 )
      | ~ ndr1_0
      | hskp3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl250,plain,
    ( ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c3_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c3_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl3324,plain,
    ( ( ( c2_1 @ a1267 )
      | ~ ( c0_1 @ a1267 ) )
   <= ( ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c3_1 @ X6 ) )
      & ( c3_1 @ a1267 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3311,zip_derived_cl250]) ).

thf('16',plain,
    ( ~ ( c3_1 @ a1267 )
    | ~ ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c3_1 @ X6 ) )
    | ~ ( c0_1 @ a1267 )
    | ( c2_1 @ a1267 ) ),
    inference(split,[status(esa)],[zip_derived_cl3324]) ).

thf(zip_derived_cl59,plain,
    ! [X79: $i,X80: $i] :
      ( ( c0_1 @ X79 )
      | ( c1_1 @ X79 )
      | ~ ( c3_1 @ X79 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X80 )
      | ~ ( c1_1 @ X80 )
      | ~ ( c3_1 @ X80 )
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('17',plain,
    ( ! [X79: $i] :
        ( ( c0_1 @ X79 )
        | ( c1_1 @ X79 )
        | ~ ( c3_1 @ X79 ) )
    | hskp5
    | ~ ndr1_0
    | ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl36,plain,
    ! [X33: $i,X34: $i] :
      ( ( c1_1 @ X33 )
      | ( c2_1 @ X33 )
      | ~ ( c0_1 @ X33 )
      | ~ ndr1_0
      | ( c3_1 @ X34 )
      | ~ ( c0_1 @ X34 )
      | ~ ( c2_1 @ X34 )
      | ~ ndr1_0
      | hskp14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl317,plain,
    ( ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c2_1 @ X33 )
        | ~ ( c0_1 @ X33 ) )
   <= ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c2_1 @ X33 )
        | ~ ( c0_1 @ X33 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl157,plain,
    ( ~ hskp7
    | ~ ( c1_1 @ a1216 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl627,plain,
    ( ~ ( c1_1 @ a1216 )
   <= ~ ( c1_1 @ a1216 ) ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl1469,plain,
    ( ( ~ ( c0_1 @ a1216 )
      | ( c2_1 @ a1216 ) )
   <= ( ~ ( c1_1 @ a1216 )
      & ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ( c2_1 @ X33 )
          | ~ ( c0_1 @ X33 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl317,zip_derived_cl627]) ).

thf('18',plain,
    ( ~ ( c0_1 @ a1216 )
    | ~ ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ( c2_1 @ X33 )
          | ~ ( c0_1 @ X33 ) )
    | ( c1_1 @ a1216 )
    | ( c2_1 @ a1216 ) ),
    inference(split,[status(esa)],[zip_derived_cl1469]) ).

thf(zip_derived_cl661_007,plain,
    ( ( c1_1 @ a1210 )
   <= ( c1_1 @ a1210 ) ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf(zip_derived_cl265_008,plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c1_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c1_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl1107,plain,
    ( ( ( c2_1 @ a1210 )
      | ( c3_1 @ a1210 ) )
   <= ( ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ( c3_1 @ X13 )
          | ~ ( c1_1 @ X13 ) )
      & ( c1_1 @ a1210 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl661,zip_derived_cl265]) ).

thf('19',plain,
    ( ( c2_1 @ a1210 )
    | ~ ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ( c3_1 @ X13 )
          | ~ ( c1_1 @ X13 ) )
    | ( c3_1 @ a1210 )
    | ~ ( c1_1 @ a1210 ) ),
    inference(split,[status(esa)],[zip_derived_cl1107]) ).

thf(zip_derived_cl661_009,plain,
    ( ( c1_1 @ a1210 )
   <= ( c1_1 @ a1210 ) ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf(zip_derived_cl37,plain,
    ! [X35: $i,X36: $i,X37: $i] :
      ( ( c1_1 @ X35 )
      | ( c2_1 @ X35 )
      | ~ ( c0_1 @ X35 )
      | ~ ndr1_0
      | ( c2_1 @ X36 )
      | ( c3_1 @ X36 )
      | ~ ( c1_1 @ X36 )
      | ~ ndr1_0
      | ( c3_1 @ X37 )
      | ~ ( c0_1 @ X37 )
      | ~ ( c1_1 @ X37 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl320,plain,
    ( ! [X37: $i] :
        ( ( c3_1 @ X37 )
        | ~ ( c0_1 @ X37 )
        | ~ ( c1_1 @ X37 ) )
   <= ! [X37: $i] :
        ( ( c3_1 @ X37 )
        | ~ ( c0_1 @ X37 )
        | ~ ( c1_1 @ X37 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl1167,plain,
    ( ( ( c3_1 @ a1210 )
      | ~ ( c0_1 @ a1210 ) )
   <= ( ! [X37: $i] :
          ( ( c3_1 @ X37 )
          | ~ ( c0_1 @ X37 )
          | ~ ( c1_1 @ X37 ) )
      & ( c1_1 @ a1210 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl661,zip_derived_cl320]) ).

thf('20',plain,
    ( ~ ! [X37: $i] :
          ( ( c3_1 @ X37 )
          | ~ ( c0_1 @ X37 )
          | ~ ( c1_1 @ X37 ) )
    | ~ ( c1_1 @ a1210 )
    | ( c3_1 @ a1210 )
    | ~ ( c0_1 @ a1210 ) ),
    inference(split,[status(esa)],[zip_derived_cl1167]) ).

thf('21',plain,
    ( ( c0_1 @ a1204 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf(zip_derived_cl487_010,plain,
    ( ( c3_1 @ a1204 )
   <= ( c3_1 @ a1204 ) ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl230,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_cl14]) ).

thf(zip_derived_cl866,plain,
    ( ( ~ ( c0_1 @ a1204 )
      | ~ ( c2_1 @ a1204 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c3_1 @ a1204 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl487,zip_derived_cl230]) ).

thf('22',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c0_1 @ a1204 )
    | ~ ( c2_1 @ a1204 )
    | ~ ( c3_1 @ a1204 ) ),
    inference(split,[status(esa)],[zip_derived_cl866]) ).

thf(zip_derived_cl62,plain,
    ! [X86: $i,X87: $i,X88: $i] :
      ( ( c0_1 @ X86 )
      | ( c1_1 @ X86 )
      | ~ ( c3_1 @ X86 )
      | ~ ndr1_0
      | ( c2_1 @ X87 )
      | ( c3_1 @ X87 )
      | ~ ( c0_1 @ X87 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X88 )
      | ~ ( c2_1 @ X88 )
      | ~ ( c3_1 @ X88 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('23',plain,
    ( ! [X79: $i] :
        ( ( c0_1 @ X79 )
        | ( c1_1 @ X79 )
        | ~ ( c3_1 @ X79 ) )
    | ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | ~ ndr1_0
    | ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c0_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf(zip_derived_cl405,plain,
    ( ! [X79: $i] :
        ( ( c0_1 @ X79 )
        | ( c1_1 @ X79 )
        | ~ ( c3_1 @ X79 ) )
   <= ! [X79: $i] :
        ( ( c0_1 @ X79 )
        | ( c1_1 @ X79 )
        | ~ ( c3_1 @ X79 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl115,plain,
    ( ~ hskp18
    | ~ ( c1_1 @ a1246 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl543,plain,
    ( ~ ( c1_1 @ a1246 )
   <= ~ ( c1_1 @ a1246 ) ),
    inference(split,[status(esa)],[zip_derived_cl115]) ).

thf(zip_derived_cl1832,plain,
    ( ( ~ ( c3_1 @ a1246 )
      | ( c0_1 @ a1246 ) )
   <= ( ~ ( c1_1 @ a1246 )
      & ! [X79: $i] :
          ( ( c0_1 @ X79 )
          | ( c1_1 @ X79 )
          | ~ ( c3_1 @ X79 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl405,zip_derived_cl543]) ).

thf('24',plain,
    ( ( c0_1 @ a1246 )
    | ( c1_1 @ a1246 )
    | ~ ! [X79: $i] :
          ( ( c0_1 @ X79 )
          | ( c1_1 @ X79 )
          | ~ ( c3_1 @ X79 ) )
    | ~ ( c3_1 @ a1246 ) ),
    inference(split,[status(esa)],[zip_derived_cl1832]) ).

thf(zip_derived_cl28,plain,
    ! [X22: $i,X23: $i] :
      ( ( c1_1 @ X22 )
      | ~ ( c0_1 @ X22 )
      | ~ ( c2_1 @ X22 )
      | ~ ndr1_0
      | ( c2_1 @ X23 )
      | ~ ( c0_1 @ X23 )
      | ~ ( c3_1 @ X23 )
      | ~ ndr1_0
      | hskp6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl285,plain,
    ( ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ~ ( c0_1 @ X22 )
        | ~ ( c2_1 @ X22 ) )
   <= ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ~ ( c0_1 @ X22 )
        | ~ ( c2_1 @ X22 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl543_011,plain,
    ( ~ ( c1_1 @ a1246 )
   <= ~ ( c1_1 @ a1246 ) ),
    inference(split,[status(esa)],[zip_derived_cl115]) ).

thf(zip_derived_cl934,plain,
    ( ( ~ ( c2_1 @ a1246 )
      | ~ ( c0_1 @ a1246 ) )
   <= ( ~ ( c1_1 @ a1246 )
      & ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ~ ( c0_1 @ X22 )
          | ~ ( c2_1 @ X22 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl285,zip_derived_cl543]) ).

thf('25',plain,
    ( ~ ( c0_1 @ a1246 )
    | ~ ( c2_1 @ a1246 )
    | ~ ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ~ ( c0_1 @ X22 )
          | ~ ( c2_1 @ X22 ) )
    | ( c1_1 @ a1246 ) ),
    inference(split,[status(esa)],[zip_derived_cl934]) ).

thf(zip_derived_cl75,plain,
    ( ~ hskp28
    | ( c3_1 @ a1214 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl463,plain,
    ( ( c3_1 @ a1214 )
   <= ( c3_1 @ a1214 ) ),
    inference(split,[status(esa)],[zip_derived_cl75]) ).

thf(zip_derived_cl250_012,plain,
    ( ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c3_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c3_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl789,plain,
    ( ( ( c2_1 @ a1214 )
      | ~ ( c0_1 @ a1214 ) )
   <= ( ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c3_1 @ X6 ) )
      & ( c3_1 @ a1214 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl463,zip_derived_cl250]) ).

thf('26',plain,
    ( ~ ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c3_1 @ X6 ) )
    | ( c2_1 @ a1214 )
    | ~ ( c0_1 @ a1214 )
    | ~ ( c3_1 @ a1214 ) ),
    inference(split,[status(esa)],[zip_derived_cl789]) ).

thf(zip_derived_cl141,plain,
    ( ~ hskp11
    | ( c1_1 @ a1224 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl595,plain,
    ( ( c1_1 @ a1224 )
   <= ( c1_1 @ a1224 ) ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf(zip_derived_cl53,plain,
    ! [X68: $i,X69: $i] :
      ( ( c0_1 @ X68 )
      | ( c2_1 @ X68 )
      | ~ ( c1_1 @ X68 )
      | ~ ndr1_0
      | ( c1_1 @ X69 )
      | ( c3_1 @ X69 )
      | ~ ( c0_1 @ X69 )
      | ~ ndr1_0
      | hskp25 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl383,plain,
    ( ! [X68: $i] :
        ( ( c0_1 @ X68 )
        | ( c2_1 @ X68 )
        | ~ ( c1_1 @ X68 ) )
   <= ! [X68: $i] :
        ( ( c0_1 @ X68 )
        | ( c2_1 @ X68 )
        | ~ ( c1_1 @ X68 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(zip_derived_cl1582,plain,
    ( ( ( c0_1 @ a1224 )
      | ( c2_1 @ a1224 ) )
   <= ( ! [X68: $i] :
          ( ( c0_1 @ X68 )
          | ( c2_1 @ X68 )
          | ~ ( c1_1 @ X68 ) )
      & ( c1_1 @ a1224 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl595,zip_derived_cl383]) ).

thf('27',plain,
    ( ~ ! [X68: $i] :
          ( ( c0_1 @ X68 )
          | ( c2_1 @ X68 )
          | ~ ( c1_1 @ X68 ) )
    | ( c0_1 @ a1224 )
    | ( c2_1 @ a1224 )
    | ~ ( c1_1 @ a1224 ) ),
    inference(split,[status(esa)],[zip_derived_cl1582]) ).

thf(zip_derived_cl595_013,plain,
    ( ( c1_1 @ a1224 )
   <= ( c1_1 @ a1224 ) ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf(zip_derived_cl233_014,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl1030,plain,
    ( ( ~ ( c0_1 @ a1224 )
      | ~ ( c3_1 @ a1224 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ( c1_1 @ a1224 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl595,zip_derived_cl233]) ).

thf('28',plain,
    ( ~ ( c0_1 @ a1224 )
    | ~ ( c1_1 @ a1224 )
    | ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ~ ( c3_1 @ a1224 ) ),
    inference(split,[status(esa)],[zip_derived_cl1030]) ).

thf('29',plain,
    ( hskp2
    | hskp7
    | ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf('30',plain,
    ( ~ ( c1_1 @ a1216 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl33,plain,
    ! [X30: $i] :
      ( ( c1_1 @ X30 )
      | ( c3_1 @ X30 )
      | ~ ( c0_1 @ X30 )
      | ~ ndr1_0
      | hskp17
      | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl304,plain,
    ( ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ( c3_1 @ X30 )
        | ~ ( c0_1 @ X30 ) )
   <= ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ( c3_1 @ X30 )
        | ~ ( c0_1 @ X30 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl627_015,plain,
    ( ~ ( c1_1 @ a1216 )
   <= ~ ( c1_1 @ a1216 ) ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl1283,plain,
    ( ( ~ ( c0_1 @ a1216 )
      | ( c3_1 @ a1216 ) )
   <= ( ~ ( c1_1 @ a1216 )
      & ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ( c3_1 @ X30 )
          | ~ ( c0_1 @ X30 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl304,zip_derived_cl627]) ).

thf('31',plain,
    ( ~ ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ( c3_1 @ X30 )
          | ~ ( c0_1 @ X30 ) )
    | ~ ( c0_1 @ a1216 )
    | ( c1_1 @ a1216 )
    | ( c3_1 @ a1216 ) ),
    inference(split,[status(esa)],[zip_derived_cl1283]) ).

thf(zip_derived_cl316,plain,
    ( ! [X34: $i] :
        ( ( c3_1 @ X34 )
        | ~ ( c0_1 @ X34 )
        | ~ ( c2_1 @ X34 ) )
   <= ! [X34: $i] :
        ( ( c3_1 @ X34 )
        | ~ ( c0_1 @ X34 )
        | ~ ( c2_1 @ X34 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl183,plain,
    ( ~ hskp1
    | ~ ( c3_1 @ a1206 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl679,plain,
    ( ~ ( c3_1 @ a1206 )
   <= ~ ( c3_1 @ a1206 ) ),
    inference(split,[status(esa)],[zip_derived_cl183]) ).

thf(zip_derived_cl1373,plain,
    ( ( ~ ( c2_1 @ a1206 )
      | ~ ( c0_1 @ a1206 ) )
   <= ( ~ ( c3_1 @ a1206 )
      & ! [X34: $i] :
          ( ( c3_1 @ X34 )
          | ~ ( c0_1 @ X34 )
          | ~ ( c2_1 @ X34 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl316,zip_derived_cl679]) ).

thf('32',plain,
    ( ~ ! [X34: $i] :
          ( ( c3_1 @ X34 )
          | ~ ( c0_1 @ X34 )
          | ~ ( c2_1 @ X34 ) )
    | ~ ( c0_1 @ a1206 )
    | ~ ( c2_1 @ a1206 )
    | ( c3_1 @ a1206 ) ),
    inference(split,[status(esa)],[zip_derived_cl1373]) ).

thf(zip_derived_cl181,plain,
    ( ~ hskp1
    | ( c0_1 @ a1206 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('33',plain,
    ( ( c0_1 @ a1206 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl181]) ).

thf(zip_derived_cl182,plain,
    ( ~ hskp1
    | ( c2_1 @ a1206 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('34',plain,
    ( ( c2_1 @ a1206 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf('35',plain,
    ( ~ ( c3_1 @ a1206 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl183]) ).

thf('36',plain,
    ( hskp1
    | ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c1_1 @ X47 )
        | ~ ( c2_1 @ X47 ) )
    | ~ ndr1_0
    | ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c1_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl161,plain,
    ( ~ hskp6
    | ( c1_1 @ a1215 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl635,plain,
    ( ( c1_1 @ a1215 )
   <= ( c1_1 @ a1215 ) ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl344_016,plain,
    ( ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c1_1 @ X47 )
        | ~ ( c2_1 @ X47 ) )
   <= ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c1_1 @ X47 )
        | ~ ( c2_1 @ X47 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl1246,plain,
    ( ( ( c0_1 @ a1215 )
      | ~ ( c2_1 @ a1215 ) )
   <= ( ! [X47: $i] :
          ( ( c0_1 @ X47 )
          | ~ ( c1_1 @ X47 )
          | ~ ( c2_1 @ X47 ) )
      & ( c1_1 @ a1215 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl635,zip_derived_cl344]) ).

thf('37',plain,
    ( ~ ! [X47: $i] :
          ( ( c0_1 @ X47 )
          | ~ ( c1_1 @ X47 )
          | ~ ( c2_1 @ X47 ) )
    | ( c0_1 @ a1215 )
    | ~ ( c2_1 @ a1215 )
    | ~ ( c1_1 @ a1215 ) ),
    inference(split,[status(esa)],[zip_derived_cl1246]) ).

thf(zip_derived_cl348_017,plain,
    ( ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ( c3_1 @ X49 )
        | ~ ( c2_1 @ X49 ) )
   <= ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ( c3_1 @ X49 )
        | ~ ( c2_1 @ X49 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl44]) ).

thf(zip_derived_cl163,plain,
    ( ~ hskp6
    | ~ ( c3_1 @ a1215 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl639,plain,
    ( ~ ( c3_1 @ a1215 )
   <= ~ ( c3_1 @ a1215 ) ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl1682,plain,
    ( ( ~ ( c2_1 @ a1215 )
      | ( c0_1 @ a1215 ) )
   <= ( ~ ( c3_1 @ a1215 )
      & ! [X49: $i] :
          ( ( c0_1 @ X49 )
          | ( c3_1 @ X49 )
          | ~ ( c2_1 @ X49 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl348,zip_derived_cl639]) ).

thf('38',plain,
    ( ( c0_1 @ a1215 )
    | ~ ( c2_1 @ a1215 )
    | ~ ! [X49: $i] :
          ( ( c0_1 @ X49 )
          | ( c3_1 @ X49 )
          | ~ ( c2_1 @ X49 ) )
    | ( c3_1 @ a1215 ) ),
    inference(split,[status(esa)],[zip_derived_cl1682]) ).

thf(zip_derived_cl66,plain,
    ! [X96: $i,X97: $i] :
      ( ( c0_1 @ X96 )
      | ( c1_1 @ X96 )
      | ( c3_1 @ X96 )
      | ~ ndr1_0
      | ( c1_1 @ X97 )
      | ( c2_1 @ X97 )
      | ~ ( c3_1 @ X97 )
      | ~ ndr1_0
      | hskp26 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl434,plain,
    ( ! [X96: $i] :
        ( ( c0_1 @ X96 )
        | ( c1_1 @ X96 )
        | ( c3_1 @ X96 ) )
   <= ! [X96: $i] :
        ( ( c0_1 @ X96 )
        | ( c1_1 @ X96 )
        | ( c3_1 @ X96 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf(zip_derived_cl154,plain,
    ( ~ hskp8
    | ~ ( c1_1 @ a1217 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl621,plain,
    ( ~ ( c1_1 @ a1217 )
   <= ~ ( c1_1 @ a1217 ) ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl1947,plain,
    ( ( ( c3_1 @ a1217 )
      | ( c0_1 @ a1217 ) )
   <= ( ~ ( c1_1 @ a1217 )
      & ! [X96: $i] :
          ( ( c0_1 @ X96 )
          | ( c1_1 @ X96 )
          | ( c3_1 @ X96 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl621]) ).

thf('39',plain,
    ( ~ ! [X96: $i] :
          ( ( c0_1 @ X96 )
          | ( c1_1 @ X96 )
          | ( c3_1 @ X96 ) )
    | ( c0_1 @ a1217 )
    | ( c1_1 @ a1217 )
    | ( c3_1 @ a1217 ) ),
    inference(split,[status(esa)],[zip_derived_cl1947]) ).

thf(zip_derived_cl34,plain,
    ! [X31: $i] :
      ( ( c1_1 @ X31 )
      | ( c2_1 @ X31 )
      | ~ ( c3_1 @ X31 )
      | ~ ndr1_0
      | hskp1
      | hskp16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl308,plain,
    ( ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c2_1 @ X31 )
        | ~ ( c3_1 @ X31 ) )
   <= ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c2_1 @ X31 )
        | ~ ( c3_1 @ X31 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl493_018,plain,
    ( ~ ( c1_1 @ a1267 )
   <= ~ ( c1_1 @ a1267 ) ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl1345,plain,
    ( ( ~ ( c3_1 @ a1267 )
      | ( c2_1 @ a1267 ) )
   <= ( ~ ( c1_1 @ a1267 )
      & ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c2_1 @ X31 )
          | ~ ( c3_1 @ X31 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl308,zip_derived_cl493]) ).

thf('40',plain,
    ( ~ ( c3_1 @ a1267 )
    | ~ ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c2_1 @ X31 )
          | ~ ( c3_1 @ X31 ) )
    | ( c1_1 @ a1267 )
    | ( c2_1 @ a1267 ) ),
    inference(split,[status(esa)],[zip_derived_cl1345]) ).

thf(zip_derived_cl153,plain,
    ( ~ hskp8
    | ~ ( c0_1 @ a1217 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('41',plain,
    ( ~ ( c0_1 @ a1217 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf('42',plain,
    ( ~ ( c1_1 @ a1217 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf('43',plain,
    ( ~ ( c3_1 @ a1217 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf(zip_derived_cl304_019,plain,
    ( ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ( c3_1 @ X30 )
        | ~ ( c0_1 @ X30 ) )
   <= ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ( c3_1 @ X30 )
        | ~ ( c0_1 @ X30 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl493_020,plain,
    ( ~ ( c1_1 @ a1267 )
   <= ~ ( c1_1 @ a1267 ) ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl1291,plain,
    ( ( ~ ( c0_1 @ a1267 )
      | ( c3_1 @ a1267 ) )
   <= ( ~ ( c1_1 @ a1267 )
      & ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ( c3_1 @ X30 )
          | ~ ( c0_1 @ X30 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl304,zip_derived_cl493]) ).

thf('44',plain,
    ( ~ ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ( c3_1 @ X30 )
          | ~ ( c0_1 @ X30 ) )
    | ( c3_1 @ a1267 )
    | ( c1_1 @ a1267 )
    | ~ ( c0_1 @ a1267 ) ),
    inference(split,[status(esa)],[zip_derived_cl1291]) ).

thf(zip_derived_cl54,plain,
    ! [X70: $i,X71: $i] :
      ( ( c0_1 @ X70 )
      | ( c2_1 @ X70 )
      | ~ ( c1_1 @ X70 )
      | ~ ndr1_0
      | ( c0_1 @ X71 )
      | ( c3_1 @ X71 )
      | ~ ( c1_1 @ X71 )
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('45',plain,
    ( ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ( c3_1 @ X57 )
        | ~ ( c1_1 @ X57 ) )
    | hskp8
    | ! [X68: $i] :
        ( ( c0_1 @ X68 )
        | ( c2_1 @ X68 )
        | ~ ( c1_1 @ X68 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf('46',plain,
    ( ! [X37: $i] :
        ( ( c3_1 @ X37 )
        | ~ ( c0_1 @ X37 )
        | ~ ( c1_1 @ X37 ) )
    | ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c1_1 @ X13 ) )
    | ~ ndr1_0
    | ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c2_1 @ X33 )
        | ~ ( c0_1 @ X33 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl109,plain,
    ( ~ hskp19
    | ( c1_1 @ a1247 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl531,plain,
    ( ( c1_1 @ a1247 )
   <= ( c1_1 @ a1247 ) ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf(zip_derived_cl320_021,plain,
    ( ! [X37: $i] :
        ( ( c3_1 @ X37 )
        | ~ ( c0_1 @ X37 )
        | ~ ( c1_1 @ X37 ) )
   <= ! [X37: $i] :
        ( ( c3_1 @ X37 )
        | ~ ( c0_1 @ X37 )
        | ~ ( c1_1 @ X37 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl1173,plain,
    ( ( ( c3_1 @ a1247 )
      | ~ ( c0_1 @ a1247 ) )
   <= ( ! [X37: $i] :
          ( ( c3_1 @ X37 )
          | ~ ( c0_1 @ X37 )
          | ~ ( c1_1 @ X37 ) )
      & ( c1_1 @ a1247 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl531,zip_derived_cl320]) ).

thf('47',plain,
    ( ~ ( c0_1 @ a1247 )
    | ~ ( c1_1 @ a1247 )
    | ~ ! [X37: $i] :
          ( ( c3_1 @ X37 )
          | ~ ( c0_1 @ X37 )
          | ~ ( c1_1 @ X37 ) )
    | ( c3_1 @ a1247 ) ),
    inference(split,[status(esa)],[zip_derived_cl1173]) ).

thf(zip_derived_cl27,plain,
    ! [X20: $i,X21: $i] :
      ( ( c1_1 @ X20 )
      | ~ ( c2_1 @ X20 )
      | ~ ( c3_1 @ X20 )
      | ~ ndr1_0
      | ( c2_1 @ X21 )
      | ( c3_1 @ X21 )
      | ~ ( c1_1 @ X21 )
      | ~ ndr1_0
      | hskp18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('48',plain,
    ( ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ~ ( c2_1 @ X18 )
        | ~ ( c3_1 @ X18 ) )
    | hskp18
    | ~ ndr1_0
    | ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c1_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl531_022,plain,
    ( ( c1_1 @ a1247 )
   <= ( c1_1 @ a1247 ) ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf(zip_derived_cl265_023,plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c1_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c1_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl907,plain,
    ( ( ( c2_1 @ a1247 )
      | ( c3_1 @ a1247 ) )
   <= ( ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ( c3_1 @ X13 )
          | ~ ( c1_1 @ X13 ) )
      & ( c1_1 @ a1247 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl531,zip_derived_cl265]) ).

thf('49',plain,
    ( ~ ( c1_1 @ a1247 )
    | ( c3_1 @ a1247 )
    | ~ ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ( c3_1 @ X13 )
          | ~ ( c1_1 @ X13 ) )
    | ( c2_1 @ a1247 ) ),
    inference(split,[status(esa)],[zip_derived_cl907]) ).

thf(zip_derived_cl26,plain,
    ! [X18: $i,X19: $i] :
      ( ( c1_1 @ X18 )
      | ~ ( c2_1 @ X18 )
      | ~ ( c3_1 @ X18 )
      | ~ ndr1_0
      | ( c2_1 @ X19 )
      | ~ ( c0_1 @ X19 )
      | ~ ( c1_1 @ X19 )
      | ~ ndr1_0
      | hskp19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('50',plain,
    ( ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ~ ( c2_1 @ X18 )
        | ~ ( c3_1 @ X18 ) )
    | hskp19
    | ~ ndr1_0
    | ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c1_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl79,plain,
    ( ~ hskp27
    | ( c3_1 @ a1213 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl471,plain,
    ( ( c3_1 @ a1213 )
   <= ( c3_1 @ a1213 ) ),
    inference(split,[status(esa)],[zip_derived_cl79]) ).

thf(zip_derived_cl340_024,plain,
    ( ! [X46: $i] :
        ( ( c0_1 @ X46 )
        | ~ ( c2_1 @ X46 )
        | ~ ( c3_1 @ X46 ) )
   <= ! [X46: $i] :
        ( ( c0_1 @ X46 )
        | ~ ( c2_1 @ X46 )
        | ~ ( c3_1 @ X46 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl1234,plain,
    ( ( ( c0_1 @ a1213 )
      | ~ ( c2_1 @ a1213 ) )
   <= ( ! [X46: $i] :
          ( ( c0_1 @ X46 )
          | ~ ( c2_1 @ X46 )
          | ~ ( c3_1 @ X46 ) )
      & ( c3_1 @ a1213 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl471,zip_derived_cl340]) ).

thf('51',plain,
    ( ~ ! [X46: $i] :
          ( ( c0_1 @ X46 )
          | ~ ( c2_1 @ X46 )
          | ~ ( c3_1 @ X46 ) )
    | ( c0_1 @ a1213 )
    | ~ ( c2_1 @ a1213 )
    | ~ ( c3_1 @ a1213 ) ),
    inference(split,[status(esa)],[zip_derived_cl1234]) ).

thf(zip_derived_cl595_025,plain,
    ( ( c1_1 @ a1224 )
   <= ( c1_1 @ a1224 ) ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf(zip_derived_cl31,plain,
    ! [X26: $i,X27: $i] :
      ( ( c1_1 @ X26 )
      | ( c3_1 @ X26 )
      | ~ ( c2_1 @ X26 )
      | ~ ndr1_0
      | ( c2_1 @ X27 )
      | ~ ( c1_1 @ X27 )
      | ~ ( c3_1 @ X27 )
      | ~ ndr1_0
      | hskp14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl296,plain,
    ( ! [X27: $i] :
        ( ( c2_1 @ X27 )
        | ~ ( c1_1 @ X27 )
        | ~ ( c3_1 @ X27 ) )
   <= ! [X27: $i] :
        ( ( c2_1 @ X27 )
        | ~ ( c1_1 @ X27 )
        | ~ ( c3_1 @ X27 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl31]) ).

thf(zip_derived_cl1064,plain,
    ( ( ( c2_1 @ a1224 )
      | ~ ( c3_1 @ a1224 ) )
   <= ( ! [X27: $i] :
          ( ( c2_1 @ X27 )
          | ~ ( c1_1 @ X27 )
          | ~ ( c3_1 @ X27 ) )
      & ( c1_1 @ a1224 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl595,zip_derived_cl296]) ).

thf('52',plain,
    ( ~ ! [X27: $i] :
          ( ( c2_1 @ X27 )
          | ~ ( c1_1 @ X27 )
          | ~ ( c3_1 @ X27 ) )
    | ~ ( c3_1 @ a1224 )
    | ~ ( c1_1 @ a1224 )
    | ( c2_1 @ a1224 ) ),
    inference(split,[status(esa)],[zip_derived_cl1064]) ).

thf(zip_derived_cl467_026,plain,
    ( ( c1_1 @ a1213 )
   <= ( c1_1 @ a1213 ) ),
    inference(split,[status(esa)],[zip_derived_cl77]) ).

thf(zip_derived_cl41,plain,
    ! [X43: $i,X44: $i] :
      ( ( c0_1 @ X43 )
      | ~ ( c1_1 @ X43 )
      | ~ ( c3_1 @ X43 )
      | ~ ndr1_0
      | ( c3_1 @ X44 )
      | ~ ( c1_1 @ X44 )
      | ~ ( c2_1 @ X44 )
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl337,plain,
    ( ! [X43: $i] :
        ( ( c0_1 @ X43 )
        | ~ ( c1_1 @ X43 )
        | ~ ( c3_1 @ X43 ) )
   <= ! [X43: $i] :
        ( ( c0_1 @ X43 )
        | ~ ( c1_1 @ X43 )
        | ~ ( c3_1 @ X43 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl1218,plain,
    ( ( ( c0_1 @ a1213 )
      | ~ ( c3_1 @ a1213 ) )
   <= ( ! [X43: $i] :
          ( ( c0_1 @ X43 )
          | ~ ( c1_1 @ X43 )
          | ~ ( c3_1 @ X43 ) )
      & ( c1_1 @ a1213 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl467,zip_derived_cl337]) ).

thf('53',plain,
    ( ~ ! [X43: $i] :
          ( ( c0_1 @ X43 )
          | ~ ( c1_1 @ X43 )
          | ~ ( c3_1 @ X43 ) )
    | ( c0_1 @ a1213 )
    | ~ ( c1_1 @ a1213 )
    | ~ ( c3_1 @ a1213 ) ),
    inference(split,[status(esa)],[zip_derived_cl1218]) ).

thf(zip_derived_cl467_027,plain,
    ( ( c1_1 @ a1213 )
   <= ( c1_1 @ a1213 ) ),
    inference(split,[status(esa)],[zip_derived_cl77]) ).

thf(zip_derived_cl233_028,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl791,plain,
    ( ( ~ ( c0_1 @ a1213 )
      | ~ ( c3_1 @ a1213 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ( c1_1 @ a1213 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl467,zip_derived_cl233]) ).

thf('54',plain,
    ( ~ ( c0_1 @ a1213 )
    | ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ~ ( c1_1 @ a1213 )
    | ~ ( c3_1 @ a1213 ) ),
    inference(split,[status(esa)],[zip_derived_cl791]) ).

thf(zip_derived_cl405_029,plain,
    ( ! [X79: $i] :
        ( ( c0_1 @ X79 )
        | ( c1_1 @ X79 )
        | ~ ( c3_1 @ X79 ) )
   <= ! [X79: $i] :
        ( ( c0_1 @ X79 )
        | ( c1_1 @ X79 )
        | ~ ( c3_1 @ X79 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl187,plain,
    ( ~ hskp0
    | ~ ( c1_1 @ a1205 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl687,plain,
    ( ~ ( c1_1 @ a1205 )
   <= ~ ( c1_1 @ a1205 ) ),
    inference(split,[status(esa)],[zip_derived_cl187]) ).

thf(zip_derived_cl1824,plain,
    ( ( ~ ( c3_1 @ a1205 )
      | ( c0_1 @ a1205 ) )
   <= ( ~ ( c1_1 @ a1205 )
      & ! [X79: $i] :
          ( ( c0_1 @ X79 )
          | ( c1_1 @ X79 )
          | ~ ( c3_1 @ X79 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl405,zip_derived_cl687]) ).

thf('55',plain,
    ( ~ ( c3_1 @ a1205 )
    | ( c1_1 @ a1205 )
    | ~ ! [X79: $i] :
          ( ( c0_1 @ X79 )
          | ( c1_1 @ X79 )
          | ~ ( c3_1 @ X79 ) )
    | ( c0_1 @ a1205 ) ),
    inference(split,[status(esa)],[zip_derived_cl1824]) ).

thf(zip_derived_cl60,plain,
    ! [X81: $i,X82: $i,X83: $i] :
      ( ( c0_1 @ X81 )
      | ( c1_1 @ X81 )
      | ~ ( c3_1 @ X81 )
      | ~ ndr1_0
      | ( c3_1 @ X82 )
      | ~ ( c0_1 @ X82 )
      | ~ ( c2_1 @ X82 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X83 )
      | ~ ( c1_1 @ X83 )
      | ~ ( c3_1 @ X83 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('56',plain,
    ( ! [X79: $i] :
        ( ( c0_1 @ X79 )
        | ( c1_1 @ X79 )
        | ~ ( c3_1 @ X79 ) )
    | ! [X34: $i] :
        ( ( c3_1 @ X34 )
        | ~ ( c0_1 @ X34 )
        | ~ ( c2_1 @ X34 ) )
    | ~ ndr1_0
    | ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl60]) ).

thf(zip_derived_cl348_030,plain,
    ( ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ( c3_1 @ X49 )
        | ~ ( c2_1 @ X49 ) )
   <= ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ( c3_1 @ X49 )
        | ~ ( c2_1 @ X49 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl44]) ).

thf(zip_derived_cl277,plain,
    ( ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ~ ( c2_1 @ X18 )
        | ~ ( c3_1 @ X18 ) )
   <= ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ~ ( c2_1 @ X18 )
        | ~ ( c3_1 @ X18 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl687_031,plain,
    ( ~ ( c1_1 @ a1205 )
   <= ~ ( c1_1 @ a1205 ) ),
    inference(split,[status(esa)],[zip_derived_cl187]) ).

thf(zip_derived_cl816,plain,
    ( ( ~ ( c3_1 @ a1205 )
      | ~ ( c2_1 @ a1205 ) )
   <= ( ~ ( c1_1 @ a1205 )
      & ! [X18: $i] :
          ( ( c1_1 @ X18 )
          | ~ ( c2_1 @ X18 )
          | ~ ( c3_1 @ X18 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl277,zip_derived_cl687]) ).

thf(zip_derived_cl862,plain,
    ( ~ ( c3_1 @ a1205 )
   <= ~ ( c3_1 @ a1205 ) ),
    inference(split,[status(esa)],[zip_derived_cl816]) ).

thf(zip_derived_cl1676,plain,
    ( ( ~ ( c2_1 @ a1205 )
      | ( c0_1 @ a1205 ) )
   <= ( ~ ( c3_1 @ a1205 )
      & ! [X49: $i] :
          ( ( c0_1 @ X49 )
          | ( c3_1 @ X49 )
          | ~ ( c2_1 @ X49 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl348,zip_derived_cl862]) ).

thf('57',plain,
    ( ( c3_1 @ a1205 )
    | ( c0_1 @ a1205 )
    | ~ ! [X49: $i] :
          ( ( c0_1 @ X49 )
          | ( c3_1 @ X49 )
          | ~ ( c2_1 @ X49 ) )
    | ~ ( c2_1 @ a1205 ) ),
    inference(split,[status(esa)],[zip_derived_cl1676]) ).

thf(zip_derived_cl316_032,plain,
    ( ! [X34: $i] :
        ( ( c3_1 @ X34 )
        | ~ ( c0_1 @ X34 )
        | ~ ( c2_1 @ X34 ) )
   <= ! [X34: $i] :
        ( ( c3_1 @ X34 )
        | ~ ( c0_1 @ X34 )
        | ~ ( c2_1 @ X34 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl639_033,plain,
    ( ~ ( c3_1 @ a1215 )
   <= ~ ( c3_1 @ a1215 ) ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl1377,plain,
    ( ( ~ ( c2_1 @ a1215 )
      | ~ ( c0_1 @ a1215 ) )
   <= ( ~ ( c3_1 @ a1215 )
      & ! [X34: $i] :
          ( ( c3_1 @ X34 )
          | ~ ( c0_1 @ X34 )
          | ~ ( c2_1 @ X34 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl316,zip_derived_cl639]) ).

thf('58',plain,
    ( ~ ! [X34: $i] :
          ( ( c3_1 @ X34 )
          | ~ ( c0_1 @ X34 )
          | ~ ( c2_1 @ X34 ) )
    | ~ ( c0_1 @ a1215 )
    | ~ ( c2_1 @ a1215 )
    | ( c3_1 @ a1215 ) ),
    inference(split,[status(esa)],[zip_derived_cl1377]) ).

thf('59',plain,
    ( hskp0
    | hskp23
    | ~ ndr1_0
    | ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl57,plain,
    ! [X74: $i,X75: $i,X76: $i] :
      ( ( c0_1 @ X74 )
      | ( c2_1 @ X74 )
      | ( c3_1 @ X74 )
      | ~ ndr1_0
      | ( c3_1 @ X75 )
      | ~ ( c1_1 @ X75 )
      | ~ ( c2_1 @ X75 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X76 )
      | ~ ( c1_1 @ X76 )
      | ~ ( c3_1 @ X76 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('60',plain,
    ( ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) )
    | ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
    | ~ ndr1_0
    | ! [X72: $i] :
        ( ( c0_1 @ X72 )
        | ( c2_1 @ X72 )
        | ( c3_1 @ X72 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf(zip_derived_cl45,plain,
    ! [X50: $i,X51: $i,X52: $i] :
      ( ( c0_1 @ X50 )
      | ( c3_1 @ X50 )
      | ~ ( c2_1 @ X50 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X51 )
      | ~ ( c1_1 @ X51 )
      | ~ ( c3_1 @ X51 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X52 )
      | ~ ( c2_1 @ X52 )
      | ~ ( c3_1 @ X52 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('61',plain,
    ( ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ( c3_1 @ X49 )
        | ~ ( c2_1 @ X49 ) )
    | ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
    | ~ ndr1_0
    | ! [X1: $i] :
        ( ~ ( c1_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl74,plain,
    ( ~ hskp28
    | ( c1_1 @ a1214 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl461,plain,
    ( ( c1_1 @ a1214 )
   <= ( c1_1 @ a1214 ) ),
    inference(split,[status(esa)],[zip_derived_cl74]) ).

thf(zip_derived_cl233_034,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl783,plain,
    ( ( ~ ( c0_1 @ a1214 )
      | ~ ( c3_1 @ a1214 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ( c1_1 @ a1214 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl461,zip_derived_cl233]) ).

thf('62',plain,
    ( ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ~ ( c0_1 @ a1214 )
    | ~ ( c3_1 @ a1214 )
    | ~ ( c1_1 @ a1214 ) ),
    inference(split,[status(esa)],[zip_derived_cl783]) ).

thf('63',plain,
    ( ( c1_1 @ a1247 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf(zip_derived_cl142,plain,
    ( ~ hskp11
    | ( c3_1 @ a1224 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl597,plain,
    ( ( c3_1 @ a1224 )
   <= ( c3_1 @ a1224 ) ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf(zip_derived_cl250_035,plain,
    ( ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c3_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c3_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl1036,plain,
    ( ( ( c2_1 @ a1224 )
      | ~ ( c0_1 @ a1224 ) )
   <= ( ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c3_1 @ X6 ) )
      & ( c3_1 @ a1224 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl597,zip_derived_cl250]) ).

thf('64',plain,
    ( ~ ( c0_1 @ a1224 )
    | ~ ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c3_1 @ X6 ) )
    | ~ ( c3_1 @ a1224 )
    | ( c2_1 @ a1224 ) ),
    inference(split,[status(esa)],[zip_derived_cl1036]) ).

thf(zip_derived_cl47,plain,
    ! [X55: $i,X56: $i] :
      ( ( c0_1 @ X55 )
      | ( c3_1 @ X55 )
      | ~ ( c2_1 @ X55 )
      | ~ ndr1_0
      | ( c1_1 @ X56 )
      | ( c3_1 @ X56 )
      | ~ ( c0_1 @ X56 )
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('65',plain,
    ( hskp0
    | ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ( c3_1 @ X49 )
        | ~ ( c2_1 @ X49 ) )
    | ~ ndr1_0
    | ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ( c3_1 @ X30 )
        | ~ ( c0_1 @ X30 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf('66',plain,
    ( ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ~ ( c0_1 @ X22 )
        | ~ ( c2_1 @ X22 ) )
    | ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c3_1 @ X6 ) )
    | ~ ndr1_0
    | hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl348_036,plain,
    ( ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ( c3_1 @ X49 )
        | ~ ( c2_1 @ X49 ) )
   <= ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ( c3_1 @ X49 )
        | ~ ( c2_1 @ X49 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl44]) ).

thf(zip_derived_cl167,plain,
    ( ~ hskp5
    | ~ ( c3_1 @ a1212 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl647,plain,
    ( ~ ( c3_1 @ a1212 )
   <= ~ ( c3_1 @ a1212 ) ),
    inference(split,[status(esa)],[zip_derived_cl167]) ).

thf(zip_derived_cl1681,plain,
    ( ( ~ ( c2_1 @ a1212 )
      | ( c0_1 @ a1212 ) )
   <= ( ~ ( c3_1 @ a1212 )
      & ! [X49: $i] :
          ( ( c0_1 @ X49 )
          | ( c3_1 @ X49 )
          | ~ ( c2_1 @ X49 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl348,zip_derived_cl647]) ).

thf('67',plain,
    ( ~ ( c2_1 @ a1212 )
    | ( c0_1 @ a1212 )
    | ~ ! [X49: $i] :
          ( ( c0_1 @ X49 )
          | ( c3_1 @ X49 )
          | ~ ( c2_1 @ X49 ) )
    | ( c3_1 @ a1212 ) ),
    inference(split,[status(esa)],[zip_derived_cl1681]) ).

thf(zip_derived_cl285_037,plain,
    ( ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ~ ( c0_1 @ X22 )
        | ~ ( c2_1 @ X22 ) )
   <= ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ~ ( c0_1 @ X22 )
        | ~ ( c2_1 @ X22 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl135,plain,
    ( ~ hskp13
    | ~ ( c1_1 @ a1229 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl583,plain,
    ( ~ ( c1_1 @ a1229 )
   <= ~ ( c1_1 @ a1229 ) ),
    inference(split,[status(esa)],[zip_derived_cl135]) ).

thf(zip_derived_cl931,plain,
    ( ( ~ ( c2_1 @ a1229 )
      | ~ ( c0_1 @ a1229 ) )
   <= ( ~ ( c1_1 @ a1229 )
      & ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ~ ( c0_1 @ X22 )
          | ~ ( c2_1 @ X22 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl285,zip_derived_cl583]) ).

thf('68',plain,
    ( ~ ( c2_1 @ a1229 )
    | ( c1_1 @ a1229 )
    | ~ ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ~ ( c0_1 @ X22 )
          | ~ ( c2_1 @ X22 ) )
    | ~ ( c0_1 @ a1229 ) ),
    inference(split,[status(esa)],[zip_derived_cl931]) ).

thf(zip_derived_cl165,plain,
    ( ~ hskp5
    | ( c2_1 @ a1212 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('69',plain,
    ( ( c2_1 @ a1212 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl166,plain,
    ( ~ hskp5
    | ~ ( c0_1 @ a1212 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('70',plain,
    ( ~ ( c0_1 @ a1212 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl166]) ).

thf('71',plain,
    ( ~ ( c3_1 @ a1212 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl167]) ).

thf(zip_derived_cl133,plain,
    ( ~ hskp13
    | ( c0_1 @ a1229 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('72',plain,
    ( ( c0_1 @ a1229 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf(zip_derived_cl134,plain,
    ( ~ hskp13
    | ( c2_1 @ a1229 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('73',plain,
    ( ( c2_1 @ a1229 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf('74',plain,
    ( ~ ( c1_1 @ a1229 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl135]) ).

thf(zip_derived_cl11,plain,
    ( hskp15
    | hskp6
    | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('75',plain,
    ( hskp15
    | hskp5
    | hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl30,plain,
    ! [X25: $i] :
      ( ( c1_1 @ X25 )
      | ( c3_1 @ X25 )
      | ~ ( c2_1 @ X25 )
      | ~ ndr1_0
      | hskp13
      | hskp6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('76',plain,
    ( hskp13
    | ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ( c3_1 @ X24 )
        | ~ ( c2_1 @ X24 ) )
    | hskp6
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl51,plain,
    ! [X62: $i,X63: $i,X64: $i] :
      ( ( c0_1 @ X62 )
      | ( c3_1 @ X62 )
      | ~ ( c1_1 @ X62 )
      | ~ ndr1_0
      | ( c1_1 @ X63 )
      | ( c3_1 @ X63 )
      | ~ ( c0_1 @ X63 )
      | ~ ndr1_0
      | ( c2_1 @ X64 )
      | ( c3_1 @ X64 )
      | ~ ( c0_1 @ X64 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('77',plain,
    ( ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ( c3_1 @ X57 )
        | ~ ( c1_1 @ X57 ) )
    | ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ( c3_1 @ X30 )
        | ~ ( c0_1 @ X30 ) )
    | ~ ndr1_0
    | ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c0_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf('78',plain,
    ( hskp3
    | ! [X46: $i] :
        ( ( c0_1 @ X46 )
        | ~ ( c2_1 @ X46 )
        | ~ ( c3_1 @ X46 ) )
    | ~ ndr1_0
    | ! [X43: $i] :
        ( ( c0_1 @ X43 )
        | ~ ( c1_1 @ X43 )
        | ~ ( c3_1 @ X43 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf('79',plain,
    ( hskp11
    | ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ( c3_1 @ X49 )
        | ~ ( c2_1 @ X49 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl44]) ).

thf(zip_derived_cl107,plain,
    ( ~ hskp20
    | ~ ( c0_1 @ a1250 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('80',plain,
    ( ~ ( c0_1 @ a1250 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl107]) ).

thf(zip_derived_cl106,plain,
    ( ~ hskp20
    | ( c3_1 @ a1250 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl525,plain,
    ( ( c3_1 @ a1250 )
   <= ( c3_1 @ a1250 ) ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(zip_derived_cl340_038,plain,
    ( ! [X46: $i] :
        ( ( c0_1 @ X46 )
        | ~ ( c2_1 @ X46 )
        | ~ ( c3_1 @ X46 ) )
   <= ! [X46: $i] :
        ( ( c0_1 @ X46 )
        | ~ ( c2_1 @ X46 )
        | ~ ( c3_1 @ X46 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl1231,plain,
    ( ( ( c0_1 @ a1250 )
      | ~ ( c2_1 @ a1250 ) )
   <= ( ! [X46: $i] :
          ( ( c0_1 @ X46 )
          | ~ ( c2_1 @ X46 )
          | ~ ( c3_1 @ X46 ) )
      & ( c3_1 @ a1250 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl525,zip_derived_cl340]) ).

thf('81',plain,
    ( ~ ( c2_1 @ a1250 )
    | ( c0_1 @ a1250 )
    | ~ ! [X46: $i] :
          ( ( c0_1 @ X46 )
          | ~ ( c2_1 @ X46 )
          | ~ ( c3_1 @ X46 ) )
    | ~ ( c3_1 @ a1250 ) ),
    inference(split,[status(esa)],[zip_derived_cl1231]) ).

thf(zip_derived_cl348_039,plain,
    ( ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ( c3_1 @ X49 )
        | ~ ( c2_1 @ X49 ) )
   <= ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ( c3_1 @ X49 )
        | ~ ( c2_1 @ X49 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl44]) ).

thf(zip_derived_cl147,plain,
    ( ~ hskp10
    | ~ ( c3_1 @ a1223 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl607,plain,
    ( ~ ( c3_1 @ a1223 )
   <= ~ ( c3_1 @ a1223 ) ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl1686,plain,
    ( ( ~ ( c2_1 @ a1223 )
      | ( c0_1 @ a1223 ) )
   <= ( ~ ( c3_1 @ a1223 )
      & ! [X49: $i] :
          ( ( c0_1 @ X49 )
          | ( c3_1 @ X49 )
          | ~ ( c2_1 @ X49 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl348,zip_derived_cl607]) ).

thf('82',plain,
    ( ( c0_1 @ a1223 )
    | ( c3_1 @ a1223 )
    | ~ ! [X49: $i] :
          ( ( c0_1 @ X49 )
          | ( c3_1 @ X49 )
          | ~ ( c2_1 @ X49 ) )
    | ~ ( c2_1 @ a1223 ) ),
    inference(split,[status(esa)],[zip_derived_cl1686]) ).

thf(zip_derived_cl304_040,plain,
    ( ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ( c3_1 @ X30 )
        | ~ ( c0_1 @ X30 ) )
   <= ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ( c3_1 @ X30 )
        | ~ ( c0_1 @ X30 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl146,plain,
    ( ~ hskp10
    | ~ ( c1_1 @ a1223 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl605,plain,
    ( ~ ( c1_1 @ a1223 )
   <= ~ ( c1_1 @ a1223 ) ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf(zip_derived_cl1285,plain,
    ( ( ~ ( c0_1 @ a1223 )
      | ( c3_1 @ a1223 ) )
   <= ( ~ ( c1_1 @ a1223 )
      & ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ( c3_1 @ X30 )
          | ~ ( c0_1 @ X30 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl304,zip_derived_cl605]) ).

thf('83',plain,
    ( ~ ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ( c3_1 @ X30 )
          | ~ ( c0_1 @ X30 ) )
    | ~ ( c0_1 @ a1223 )
    | ( c1_1 @ a1223 )
    | ( c3_1 @ a1223 ) ),
    inference(split,[status(esa)],[zip_derived_cl1285]) ).

thf(zip_derived_cl595_041,plain,
    ( ( c1_1 @ a1224 )
   <= ( c1_1 @ a1224 ) ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf(zip_derived_cl337_042,plain,
    ( ! [X43: $i] :
        ( ( c0_1 @ X43 )
        | ~ ( c1_1 @ X43 )
        | ~ ( c3_1 @ X43 ) )
   <= ! [X43: $i] :
        ( ( c0_1 @ X43 )
        | ~ ( c1_1 @ X43 )
        | ~ ( c3_1 @ X43 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl1214,plain,
    ( ( ( c0_1 @ a1224 )
      | ~ ( c3_1 @ a1224 ) )
   <= ( ! [X43: $i] :
          ( ( c0_1 @ X43 )
          | ~ ( c1_1 @ X43 )
          | ~ ( c3_1 @ X43 ) )
      & ( c1_1 @ a1224 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl595,zip_derived_cl337]) ).

thf('84',plain,
    ( ~ ! [X43: $i] :
          ( ( c0_1 @ X43 )
          | ~ ( c1_1 @ X43 )
          | ~ ( c3_1 @ X43 ) )
    | ( c0_1 @ a1224 )
    | ~ ( c3_1 @ a1224 )
    | ~ ( c1_1 @ a1224 ) ),
    inference(split,[status(esa)],[zip_derived_cl1214]) ).

thf(zip_derived_cl288_043,plain,
    ( ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ( c3_1 @ X24 )
        | ~ ( c2_1 @ X24 ) )
   <= ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ( c3_1 @ X24 )
        | ~ ( c2_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl605_044,plain,
    ( ~ ( c1_1 @ a1223 )
   <= ~ ( c1_1 @ a1223 ) ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf(zip_derived_cl981,plain,
    ( ( ~ ( c2_1 @ a1223 )
      | ( c3_1 @ a1223 ) )
   <= ( ~ ( c1_1 @ a1223 )
      & ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ( c3_1 @ X24 )
          | ~ ( c2_1 @ X24 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl288,zip_derived_cl605]) ).

thf('85',plain,
    ( ~ ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ( c3_1 @ X24 )
          | ~ ( c2_1 @ X24 ) )
    | ( c1_1 @ a1223 )
    | ( c3_1 @ a1223 )
    | ~ ( c2_1 @ a1223 ) ),
    inference(split,[status(esa)],[zip_derived_cl981]) ).

thf(zip_derived_cl145,plain,
    ( ~ hskp10
    | ( c2_1 @ a1223 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('86',plain,
    ( ( c2_1 @ a1223 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf('87',plain,
    ( ~ ( c1_1 @ a1223 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf('88',plain,
    ( ~ ( c3_1 @ a1223 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl38,plain,
    ! [X38: $i,X39: $i] :
      ( ( c1_1 @ X38 )
      | ( c2_1 @ X38 )
      | ~ ( c0_1 @ X38 )
      | ~ ndr1_0
      | ( c2_1 @ X39 )
      | ( c3_1 @ X39 )
      | ~ ( c0_1 @ X39 )
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('89',plain,
    ( hskp10
    | ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c2_1 @ X33 )
        | ~ ( c0_1 @ X33 ) )
    | ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c0_1 @ X16 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl317_045,plain,
    ( ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c2_1 @ X33 )
        | ~ ( c0_1 @ X33 ) )
   <= ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c2_1 @ X33 )
        | ~ ( c0_1 @ X33 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl493_046,plain,
    ( ~ ( c1_1 @ a1267 )
   <= ~ ( c1_1 @ a1267 ) ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl1477,plain,
    ( ( ~ ( c0_1 @ a1267 )
      | ( c2_1 @ a1267 ) )
   <= ( ~ ( c1_1 @ a1267 )
      & ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ( c2_1 @ X33 )
          | ~ ( c0_1 @ X33 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl317,zip_derived_cl493]) ).

thf('90',plain,
    ( ~ ( c0_1 @ a1267 )
    | ( c1_1 @ a1267 )
    | ~ ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ( c2_1 @ X33 )
          | ~ ( c0_1 @ X33 ) )
    | ( c2_1 @ a1267 ) ),
    inference(split,[status(esa)],[zip_derived_cl1477]) ).

thf(zip_derived_cl89,plain,
    ( ~ hskp24
    | ( c0_1 @ a1267 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('91',plain,
    ( ( c0_1 @ a1267 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf('92',plain,
    ( ~ ( c1_1 @ a1267 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl91,plain,
    ( ~ hskp24
    | ~ ( c2_1 @ a1267 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('93',plain,
    ( ~ ( c2_1 @ a1267 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl13,plain,
    ( hskp26
    | hskp28
    | hskp24 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('94',plain,
    ( hskp24
    | hskp28
    | hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl461_047,plain,
    ( ( c1_1 @ a1214 )
   <= ( c1_1 @ a1214 ) ),
    inference(split,[status(esa)],[zip_derived_cl74]) ).

thf(zip_derived_cl237_048,plain,
    ( ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl784,plain,
    ( ( ~ ( c0_1 @ a1214 )
      | ~ ( c2_1 @ a1214 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ( c1_1 @ a1214 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl461,zip_derived_cl237]) ).

thf('95',plain,
    ( ~ ( c2_1 @ a1214 )
    | ~ ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
    | ~ ( c0_1 @ a1214 )
    | ~ ( c1_1 @ a1214 ) ),
    inference(split,[status(esa)],[zip_derived_cl784]) ).

thf(zip_derived_cl434_049,plain,
    ( ! [X96: $i] :
        ( ( c0_1 @ X96 )
        | ( c1_1 @ X96 )
        | ( c3_1 @ X96 ) )
   <= ! [X96: $i] :
        ( ( c0_1 @ X96 )
        | ( c1_1 @ X96 )
        | ( c3_1 @ X96 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf(zip_derived_cl687_050,plain,
    ( ~ ( c1_1 @ a1205 )
   <= ~ ( c1_1 @ a1205 ) ),
    inference(split,[status(esa)],[zip_derived_cl187]) ).

thf(zip_derived_cl1944,plain,
    ( ( ( c3_1 @ a1205 )
      | ( c0_1 @ a1205 ) )
   <= ( ~ ( c1_1 @ a1205 )
      & ! [X96: $i] :
          ( ( c0_1 @ X96 )
          | ( c1_1 @ X96 )
          | ( c3_1 @ X96 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl687]) ).

thf('96',plain,
    ( ~ ! [X96: $i] :
          ( ( c0_1 @ X96 )
          | ( c1_1 @ X96 )
          | ( c3_1 @ X96 ) )
    | ( c3_1 @ a1205 )
    | ( c0_1 @ a1205 )
    | ( c1_1 @ a1205 ) ),
    inference(split,[status(esa)],[zip_derived_cl1944]) ).

thf(zip_derived_cl185,plain,
    ( ~ hskp0
    | ( c2_1 @ a1205 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('97',plain,
    ( ( c2_1 @ a1205 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl185]) ).

thf(zip_derived_cl186,plain,
    ( ~ hskp0
    | ~ ( c0_1 @ a1205 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('98',plain,
    ( ~ ( c0_1 @ a1205 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl186]) ).

thf('99',plain,
    ( ~ ( c1_1 @ a1205 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl187]) ).

thf('100',plain,
    ( hskp0
    | ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ( c3_1 @ X57 )
        | ~ ( c1_1 @ X57 ) )
    | ~ ndr1_0
    | hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl63,plain,
    ! [X89: $i,X90: $i] :
      ( ( c0_1 @ X89 )
      | ( c1_1 @ X89 )
      | ~ ( c3_1 @ X89 )
      | ~ ndr1_0
      | ( c0_1 @ X90 )
      | ~ ( c2_1 @ X90 )
      | ~ ( c3_1 @ X90 )
      | ~ ndr1_0
      | hskp3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('101',plain,
    ( ! [X79: $i] :
        ( ( c0_1 @ X79 )
        | ( c1_1 @ X79 )
        | ~ ( c3_1 @ X79 ) )
    | ! [X46: $i] :
        ( ( c0_1 @ X46 )
        | ~ ( c2_1 @ X46 )
        | ~ ( c3_1 @ X46 ) )
    | ~ ndr1_0
    | hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl63]) ).

thf('102',plain,
    ( ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c2_1 @ X31 )
        | ~ ( c3_1 @ X31 ) )
    | ! [X96: $i] :
        ( ( c0_1 @ X96 )
        | ( c1_1 @ X96 )
        | ( c3_1 @ X96 ) )
    | hskp26
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf(zip_derived_cl635_051,plain,
    ( ( c1_1 @ a1215 )
   <= ( c1_1 @ a1215 ) ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl237_052,plain,
    ( ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl1076,plain,
    ( ( ~ ( c0_1 @ a1215 )
      | ~ ( c2_1 @ a1215 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ( c1_1 @ a1215 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl635,zip_derived_cl237]) ).

thf('103',plain,
    ( ~ ( c0_1 @ a1215 )
    | ~ ( c1_1 @ a1215 )
    | ~ ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
    | ~ ( c2_1 @ a1215 ) ),
    inference(split,[status(esa)],[zip_derived_cl1076]) ).

thf(zip_derived_cl635_053,plain,
    ( ( c1_1 @ a1215 )
   <= ( c1_1 @ a1215 ) ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl363_054,plain,
    ( ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ( c3_1 @ X57 )
        | ~ ( c1_1 @ X57 ) )
   <= ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ( c3_1 @ X57 )
        | ~ ( c1_1 @ X57 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl1517,plain,
    ( ( ( c0_1 @ a1215 )
      | ( c3_1 @ a1215 ) )
   <= ( ! [X57: $i] :
          ( ( c0_1 @ X57 )
          | ( c3_1 @ X57 )
          | ~ ( c1_1 @ X57 ) )
      & ( c1_1 @ a1215 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl635,zip_derived_cl363]) ).

thf('104',plain,
    ( ( c0_1 @ a1215 )
    | ~ ( c1_1 @ a1215 )
    | ~ ! [X57: $i] :
          ( ( c0_1 @ X57 )
          | ( c3_1 @ X57 )
          | ~ ( c1_1 @ X57 ) )
    | ( c3_1 @ a1215 ) ),
    inference(split,[status(esa)],[zip_derived_cl1517]) ).

thf(zip_derived_cl25,plain,
    ! [X16: $i,X17: $i] :
      ( ( c2_1 @ X16 )
      | ( c3_1 @ X16 )
      | ~ ( c0_1 @ X16 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X17 )
      | ~ ( c1_1 @ X17 )
      | ~ ( c2_1 @ X17 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl274,plain,
    ( ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c0_1 @ X16 ) )
   <= ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c0_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl175,plain,
    ( ~ hskp3
    | ~ ( c3_1 @ a1210 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl663,plain,
    ( ~ ( c3_1 @ a1210 )
   <= ~ ( c3_1 @ a1210 ) ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl751,plain,
    ( ( ~ ( c0_1 @ a1210 )
      | ( c2_1 @ a1210 ) )
   <= ( ~ ( c3_1 @ a1210 )
      & ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ( c3_1 @ X16 )
          | ~ ( c0_1 @ X16 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl274,zip_derived_cl663]) ).

thf('105',plain,
    ( ( c2_1 @ a1210 )
    | ( c3_1 @ a1210 )
    | ~ ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ( c3_1 @ X16 )
          | ~ ( c0_1 @ X16 ) )
    | ~ ( c0_1 @ a1210 ) ),
    inference(split,[status(esa)],[zip_derived_cl751]) ).

thf('106',plain,
    ( ~ ( c3_1 @ a1210 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl52,plain,
    ! [X65: $i,X66: $i,X67: $i] :
      ( ( c0_1 @ X65 )
      | ( c2_1 @ X65 )
      | ~ ( c3_1 @ X65 )
      | ~ ndr1_0
      | ( c2_1 @ X66 )
      | ~ ( c1_1 @ X66 )
      | ~ ( c3_1 @ X66 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X67 )
      | ~ ( c1_1 @ X67 )
      | ~ ( c2_1 @ X67 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('107',plain,
    ( ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ( c2_1 @ X65 )
        | ~ ( c3_1 @ X65 ) )
    | ! [X27: $i] :
        ( ( c2_1 @ X27 )
        | ~ ( c1_1 @ X27 )
        | ~ ( c3_1 @ X27 ) )
    | ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl595_055,plain,
    ( ( c1_1 @ a1224 )
   <= ( c1_1 @ a1224 ) ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf(zip_derived_cl253,plain,
    ( ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c1_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c1_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl1033,plain,
    ( ( ( c2_1 @ a1224 )
      | ~ ( c0_1 @ a1224 ) )
   <= ( ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c1_1 @ X8 ) )
      & ( c1_1 @ a1224 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl595,zip_derived_cl253]) ).

thf('108',plain,
    ( ~ ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c1_1 @ X8 ) )
    | ~ ( c0_1 @ a1224 )
    | ( c2_1 @ a1224 )
    | ~ ( c1_1 @ a1224 ) ),
    inference(split,[status(esa)],[zip_derived_cl1033]) ).

thf('109',plain,
    ( ( c1_1 @ a1224 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf('110',plain,
    ( ( c3_1 @ a1224 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf(zip_derived_cl143,plain,
    ( ~ hskp11
    | ~ ( c2_1 @ a1224 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('111',plain,
    ( ~ ( c2_1 @ a1224 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf('112',plain,
    ( hskp11
    | ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) )
    | ! [X43: $i] :
        ( ( c0_1 @ X43 )
        | ~ ( c1_1 @ X43 )
        | ~ ( c3_1 @ X43 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl169,plain,
    ( ~ hskp4
    | ( c1_1 @ a1211 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl651,plain,
    ( ( c1_1 @ a1211 )
   <= ( c1_1 @ a1211 ) ),
    inference(split,[status(esa)],[zip_derived_cl169]) ).

thf(zip_derived_cl337_056,plain,
    ( ! [X43: $i] :
        ( ( c0_1 @ X43 )
        | ~ ( c1_1 @ X43 )
        | ~ ( c3_1 @ X43 ) )
   <= ! [X43: $i] :
        ( ( c0_1 @ X43 )
        | ~ ( c1_1 @ X43 )
        | ~ ( c3_1 @ X43 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl1211,plain,
    ( ( ( c0_1 @ a1211 )
      | ~ ( c3_1 @ a1211 ) )
   <= ( ! [X43: $i] :
          ( ( c0_1 @ X43 )
          | ~ ( c1_1 @ X43 )
          | ~ ( c3_1 @ X43 ) )
      & ( c1_1 @ a1211 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl651,zip_derived_cl337]) ).

thf('113',plain,
    ( ~ ! [X43: $i] :
          ( ( c0_1 @ X43 )
          | ~ ( c1_1 @ X43 )
          | ~ ( c3_1 @ X43 ) )
    | ~ ( c3_1 @ a1211 )
    | ~ ( c1_1 @ a1211 )
    | ( c0_1 @ a1211 ) ),
    inference(split,[status(esa)],[zip_derived_cl1211]) ).

thf(zip_derived_cl651_057,plain,
    ( ( c1_1 @ a1211 )
   <= ( c1_1 @ a1211 ) ),
    inference(split,[status(esa)],[zip_derived_cl169]) ).

thf(zip_derived_cl296_058,plain,
    ( ! [X27: $i] :
        ( ( c2_1 @ X27 )
        | ~ ( c1_1 @ X27 )
        | ~ ( c3_1 @ X27 ) )
   <= ! [X27: $i] :
        ( ( c2_1 @ X27 )
        | ~ ( c1_1 @ X27 )
        | ~ ( c3_1 @ X27 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl31]) ).

thf(zip_derived_cl1087,plain,
    ( ( ( c2_1 @ a1211 )
      | ~ ( c3_1 @ a1211 ) )
   <= ( ! [X27: $i] :
          ( ( c2_1 @ X27 )
          | ~ ( c1_1 @ X27 )
          | ~ ( c3_1 @ X27 ) )
      & ( c1_1 @ a1211 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl651,zip_derived_cl296]) ).

thf('114',plain,
    ( ~ ! [X27: $i] :
          ( ( c2_1 @ X27 )
          | ~ ( c1_1 @ X27 )
          | ~ ( c3_1 @ X27 ) )
    | ~ ( c3_1 @ a1211 )
    | ~ ( c1_1 @ a1211 )
    | ( c2_1 @ a1211 ) ),
    inference(split,[status(esa)],[zip_derived_cl1087]) ).

thf(zip_derived_cl390_059,plain,
    ( ! [X72: $i] :
        ( ( c0_1 @ X72 )
        | ( c2_1 @ X72 )
        | ( c3_1 @ X72 ) )
   <= ! [X72: $i] :
        ( ( c0_1 @ X72 )
        | ( c2_1 @ X72 )
        | ( c3_1 @ X72 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf(zip_derived_cl651_060,plain,
    ( ( c1_1 @ a1211 )
   <= ( c1_1 @ a1211 ) ),
    inference(split,[status(esa)],[zip_derived_cl169]) ).

thf(zip_derived_cl229_061,plain,
    ( ! [X1: $i] :
        ( ~ ( c1_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c1_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl1081,plain,
    ( ( ~ ( c2_1 @ a1211 )
      | ~ ( c3_1 @ a1211 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c1_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ( c1_1 @ a1211 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl651,zip_derived_cl229]) ).

thf(zip_derived_cl1605,plain,
    ( ~ ( c3_1 @ a1211 )
   <= ~ ( c3_1 @ a1211 ) ),
    inference(split,[status(esa)],[zip_derived_cl1081]) ).

thf(zip_derived_cl1761,plain,
    ( ( ( c2_1 @ a1211 )
      | ( c0_1 @ a1211 ) )
   <= ( ~ ( c3_1 @ a1211 )
      & ! [X72: $i] :
          ( ( c0_1 @ X72 )
          | ( c2_1 @ X72 )
          | ( c3_1 @ X72 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl390,zip_derived_cl1605]) ).

thf('115',plain,
    ( ( c3_1 @ a1211 )
    | ( c0_1 @ a1211 )
    | ~ ! [X72: $i] :
          ( ( c0_1 @ X72 )
          | ( c2_1 @ X72 )
          | ( c3_1 @ X72 ) )
    | ( c2_1 @ a1211 ) ),
    inference(split,[status(esa)],[zip_derived_cl1761]) ).

thf(zip_derived_cl405_062,plain,
    ( ! [X79: $i] :
        ( ( c0_1 @ X79 )
        | ( c1_1 @ X79 )
        | ~ ( c3_1 @ X79 ) )
   <= ! [X79: $i] :
        ( ( c0_1 @ X79 )
        | ( c1_1 @ X79 )
        | ~ ( c3_1 @ X79 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl178,plain,
    ( ~ hskp2
    | ~ ( c1_1 @ a1207 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl669,plain,
    ( ~ ( c1_1 @ a1207 )
   <= ~ ( c1_1 @ a1207 ) ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl1825,plain,
    ( ( ~ ( c3_1 @ a1207 )
      | ( c0_1 @ a1207 ) )
   <= ( ~ ( c1_1 @ a1207 )
      & ! [X79: $i] :
          ( ( c0_1 @ X79 )
          | ( c1_1 @ X79 )
          | ~ ( c3_1 @ X79 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl405,zip_derived_cl669]) ).

thf('116',plain,
    ( ~ ( c3_1 @ a1207 )
    | ( c0_1 @ a1207 )
    | ~ ! [X79: $i] :
          ( ( c0_1 @ X79 )
          | ( c1_1 @ X79 )
          | ~ ( c3_1 @ X79 ) )
    | ( c1_1 @ a1207 ) ),
    inference(split,[status(esa)],[zip_derived_cl1825]) ).

thf(zip_derived_cl308_063,plain,
    ( ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c2_1 @ X31 )
        | ~ ( c3_1 @ X31 ) )
   <= ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c2_1 @ X31 )
        | ~ ( c3_1 @ X31 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl669_064,plain,
    ( ~ ( c1_1 @ a1207 )
   <= ~ ( c1_1 @ a1207 ) ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl1336,plain,
    ( ( ~ ( c3_1 @ a1207 )
      | ( c2_1 @ a1207 ) )
   <= ( ~ ( c1_1 @ a1207 )
      & ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c2_1 @ X31 )
          | ~ ( c3_1 @ X31 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl308,zip_derived_cl669]) ).

thf('117',plain,
    ( ~ ( c3_1 @ a1207 )
    | ( c1_1 @ a1207 )
    | ~ ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c2_1 @ X31 )
          | ~ ( c3_1 @ X31 ) )
    | ( c2_1 @ a1207 ) ),
    inference(split,[status(esa)],[zip_derived_cl1336]) ).

thf(zip_derived_cl390_065,plain,
    ( ! [X72: $i] :
        ( ( c0_1 @ X72 )
        | ( c2_1 @ X72 )
        | ( c3_1 @ X72 ) )
   <= ! [X72: $i] :
        ( ( c0_1 @ X72 )
        | ( c2_1 @ X72 )
        | ( c3_1 @ X72 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf(zip_derived_cl277_066,plain,
    ( ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ~ ( c2_1 @ X18 )
        | ~ ( c3_1 @ X18 ) )
   <= ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ~ ( c2_1 @ X18 )
        | ~ ( c3_1 @ X18 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl669_067,plain,
    ( ~ ( c1_1 @ a1207 )
   <= ~ ( c1_1 @ a1207 ) ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl817,plain,
    ( ( ~ ( c3_1 @ a1207 )
      | ~ ( c2_1 @ a1207 ) )
   <= ( ~ ( c1_1 @ a1207 )
      & ! [X18: $i] :
          ( ( c1_1 @ X18 )
          | ~ ( c2_1 @ X18 )
          | ~ ( c3_1 @ X18 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl277,zip_derived_cl669]) ).

thf(zip_derived_cl868,plain,
    ( ~ ( c3_1 @ a1207 )
   <= ~ ( c3_1 @ a1207 ) ),
    inference(split,[status(esa)],[zip_derived_cl817]) ).

thf(zip_derived_cl1759,plain,
    ( ( ( c2_1 @ a1207 )
      | ( c0_1 @ a1207 ) )
   <= ( ~ ( c3_1 @ a1207 )
      & ! [X72: $i] :
          ( ( c0_1 @ X72 )
          | ( c2_1 @ X72 )
          | ( c3_1 @ X72 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl390,zip_derived_cl868]) ).

thf('118',plain,
    ( ( c3_1 @ a1207 )
    | ( c0_1 @ a1207 )
    | ~ ! [X72: $i] :
          ( ( c0_1 @ X72 )
          | ( c2_1 @ X72 )
          | ( c3_1 @ X72 ) )
    | ( c2_1 @ a1207 ) ),
    inference(split,[status(esa)],[zip_derived_cl1759]) ).

thf(zip_derived_cl177,plain,
    ( ~ hskp2
    | ~ ( c0_1 @ a1207 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('119',plain,
    ( ~ ( c0_1 @ a1207 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf('120',plain,
    ( ~ ( c1_1 @ a1207 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl179,plain,
    ( ~ hskp2
    | ~ ( c2_1 @ a1207 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('121',plain,
    ( ~ ( c2_1 @ a1207 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl179]) ).

thf('122',plain,
    ( ( c1_1 @ a1215 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl162,plain,
    ( ~ hskp6
    | ( c2_1 @ a1215 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('123',plain,
    ( ( c2_1 @ a1215 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf('124',plain,
    ( ~ ( c3_1 @ a1215 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl635_068,plain,
    ( ( c1_1 @ a1215 )
   <= ( c1_1 @ a1215 ) ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl245_069,plain,
    ( ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl1077,plain,
    ( ( ( c3_1 @ a1215 )
      | ~ ( c2_1 @ a1215 ) )
   <= ( ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
      & ( c1_1 @ a1215 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl635,zip_derived_cl245]) ).

thf('125',plain,
    ( ~ ( c1_1 @ a1215 )
    | ~ ( c2_1 @ a1215 )
    | ~ ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
    | ( c3_1 @ a1215 ) ),
    inference(split,[status(esa)],[zip_derived_cl1077]) ).

thf(zip_derived_cl3,plain,
    ( hskp27
    | hskp19
    | hskp2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('126',plain,
    ( hskp27
    | hskp2
    | hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl4,plain,
    ( hskp22
    | hskp6
    | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('127',plain,
    ( hskp7
    | hskp6
    | hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf(zip_derived_cl274_070,plain,
    ( ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c0_1 @ X16 ) )
   <= ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c0_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl111,plain,
    ( ~ hskp19
    | ~ ( c3_1 @ a1247 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl535,plain,
    ( ~ ( c3_1 @ a1247 )
   <= ~ ( c3_1 @ a1247 ) ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl758,plain,
    ( ( ~ ( c0_1 @ a1247 )
      | ( c2_1 @ a1247 ) )
   <= ( ~ ( c3_1 @ a1247 )
      & ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ( c3_1 @ X16 )
          | ~ ( c0_1 @ X16 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl274,zip_derived_cl535]) ).

thf('128',plain,
    ( ~ ( c0_1 @ a1247 )
    | ( c2_1 @ a1247 )
    | ~ ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ( c3_1 @ X16 )
          | ~ ( c0_1 @ X16 ) )
    | ( c3_1 @ a1247 ) ),
    inference(split,[status(esa)],[zip_derived_cl758]) ).

thf(zip_derived_cl110,plain,
    ( ~ hskp19
    | ~ ( c2_1 @ a1247 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('129',plain,
    ( ~ ( c2_1 @ a1247 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl110]) ).

thf('130',plain,
    ( ~ ( c3_1 @ a1247 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl390_071,plain,
    ( ! [X72: $i] :
        ( ( c0_1 @ X72 )
        | ( c2_1 @ X72 )
        | ( c3_1 @ X72 ) )
   <= ! [X72: $i] :
        ( ( c0_1 @ X72 )
        | ( c2_1 @ X72 )
        | ( c3_1 @ X72 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf(zip_derived_cl535_072,plain,
    ( ~ ( c3_1 @ a1247 )
   <= ~ ( c3_1 @ a1247 ) ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl1774,plain,
    ( ( ( c2_1 @ a1247 )
      | ( c0_1 @ a1247 ) )
   <= ( ~ ( c3_1 @ a1247 )
      & ! [X72: $i] :
          ( ( c0_1 @ X72 )
          | ( c2_1 @ X72 )
          | ( c3_1 @ X72 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl390,zip_derived_cl535]) ).

thf('131',plain,
    ( ( c0_1 @ a1247 )
    | ( c2_1 @ a1247 )
    | ~ ! [X72: $i] :
          ( ( c0_1 @ X72 )
          | ( c2_1 @ X72 )
          | ( c3_1 @ X72 ) )
    | ( c3_1 @ a1247 ) ),
    inference(split,[status(esa)],[zip_derived_cl1774]) ).

thf(zip_derived_cl97,plain,
    ( ~ hskp22
    | ( c0_1 @ a1259 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('132',plain,
    ( ( c0_1 @ a1259 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(zip_derived_cl98,plain,
    ( ~ hskp22
    | ~ ( c2_1 @ a1259 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('133',plain,
    ( ~ ( c2_1 @ a1259 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf(zip_derived_cl99,plain,
    ( ~ hskp22
    | ~ ( c3_1 @ a1259 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('134',plain,
    ( ~ ( c3_1 @ a1259 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl274_073,plain,
    ( ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c0_1 @ X16 ) )
   <= ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c0_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl511,plain,
    ( ~ ( c3_1 @ a1259 )
   <= ~ ( c3_1 @ a1259 ) ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl759,plain,
    ( ( ~ ( c0_1 @ a1259 )
      | ( c2_1 @ a1259 ) )
   <= ( ~ ( c3_1 @ a1259 )
      & ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ( c3_1 @ X16 )
          | ~ ( c0_1 @ X16 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl274,zip_derived_cl511]) ).

thf('135',plain,
    ( ( c2_1 @ a1259 )
    | ( c3_1 @ a1259 )
    | ~ ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ( c3_1 @ X16 )
          | ~ ( c0_1 @ X16 ) )
    | ~ ( c0_1 @ a1259 ) ),
    inference(split,[status(esa)],[zip_derived_cl759]) ).

thf(zip_derived_cl288_074,plain,
    ( ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ( c3_1 @ X24 )
        | ~ ( c2_1 @ X24 ) )
   <= ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ( c3_1 @ X24 )
        | ~ ( c2_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl687_075,plain,
    ( ~ ( c1_1 @ a1205 )
   <= ~ ( c1_1 @ a1205 ) ),
    inference(split,[status(esa)],[zip_derived_cl187]) ).

thf(zip_derived_cl977,plain,
    ( ( ~ ( c2_1 @ a1205 )
      | ( c3_1 @ a1205 ) )
   <= ( ~ ( c1_1 @ a1205 )
      & ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ( c3_1 @ X24 )
          | ~ ( c2_1 @ X24 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl288,zip_derived_cl687]) ).

thf(zip_derived_cl3053,plain,
    ( ( c3_1 @ a1205 )
   <= ( c3_1 @ a1205 ) ),
    inference(split,[status(esa)],[zip_derived_cl977]) ).

thf(zip_derived_cl340_076,plain,
    ( ! [X46: $i] :
        ( ( c0_1 @ X46 )
        | ~ ( c2_1 @ X46 )
        | ~ ( c3_1 @ X46 ) )
   <= ! [X46: $i] :
        ( ( c0_1 @ X46 )
        | ~ ( c2_1 @ X46 )
        | ~ ( c3_1 @ X46 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl3067,plain,
    ( ( ( c0_1 @ a1205 )
      | ~ ( c2_1 @ a1205 ) )
   <= ( ! [X46: $i] :
          ( ( c0_1 @ X46 )
          | ~ ( c2_1 @ X46 )
          | ~ ( c3_1 @ X46 ) )
      & ( c3_1 @ a1205 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3053,zip_derived_cl340]) ).

thf('136',plain,
    ( ~ ( c3_1 @ a1205 )
    | ~ ( c2_1 @ a1205 )
    | ~ ! [X46: $i] :
          ( ( c0_1 @ X46 )
          | ~ ( c2_1 @ X46 )
          | ~ ( c3_1 @ X46 ) )
    | ( c0_1 @ a1205 ) ),
    inference(split,[status(esa)],[zip_derived_cl3067]) ).

thf(zip_derived_cl531_077,plain,
    ( ( c1_1 @ a1247 )
   <= ( c1_1 @ a1247 ) ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf(zip_derived_cl253_078,plain,
    ( ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c1_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c1_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl906,plain,
    ( ( ( c2_1 @ a1247 )
      | ~ ( c0_1 @ a1247 ) )
   <= ( ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c1_1 @ X8 ) )
      & ( c1_1 @ a1247 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl531,zip_derived_cl253]) ).

thf('137',plain,
    ( ~ ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c1_1 @ X8 ) )
    | ~ ( c0_1 @ a1247 )
    | ~ ( c1_1 @ a1247 )
    | ( c2_1 @ a1247 ) ),
    inference(split,[status(esa)],[zip_derived_cl906]) ).

thf(zip_derived_cl461_079,plain,
    ( ( c1_1 @ a1214 )
   <= ( c1_1 @ a1214 ) ),
    inference(split,[status(esa)],[zip_derived_cl74]) ).

thf(zip_derived_cl229_080,plain,
    ( ! [X1: $i] :
        ( ~ ( c1_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c1_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl782,plain,
    ( ( ~ ( c2_1 @ a1214 )
      | ~ ( c3_1 @ a1214 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c1_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ( c1_1 @ a1214 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl461,zip_derived_cl229]) ).

thf('138',plain,
    ( ~ ( c2_1 @ a1214 )
    | ~ ! [X1: $i] :
          ( ~ ( c1_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c1_1 @ a1214 )
    | ~ ( c3_1 @ a1214 ) ),
    inference(split,[status(esa)],[zip_derived_cl782]) ).

thf(zip_derived_cl173,plain,
    ( ~ hskp3
    | ( c0_1 @ a1210 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('139',plain,
    ( ( c0_1 @ a1210 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl173]) ).

thf('140',plain,
    ( ( c1_1 @ a1210 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf(zip_derived_cl661_081,plain,
    ( ( c1_1 @ a1210 )
   <= ( c1_1 @ a1210 ) ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf(zip_derived_cl237_082,plain,
    ( ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl1104,plain,
    ( ( ~ ( c0_1 @ a1210 )
      | ~ ( c2_1 @ a1210 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ( c1_1 @ a1210 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl661,zip_derived_cl237]) ).

thf('141',plain,
    ( ~ ( c2_1 @ a1210 )
    | ~ ( c1_1 @ a1210 )
    | ~ ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
    | ~ ( c0_1 @ a1210 ) ),
    inference(split,[status(esa)],[zip_derived_cl1104]) ).

thf(zip_derived_cl661_083,plain,
    ( ( c1_1 @ a1210 )
   <= ( c1_1 @ a1210 ) ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf(zip_derived_cl253_084,plain,
    ( ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c1_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c1_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl1106,plain,
    ( ( ( c2_1 @ a1210 )
      | ~ ( c0_1 @ a1210 ) )
   <= ( ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c1_1 @ X8 ) )
      & ( c1_1 @ a1210 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl661,zip_derived_cl253]) ).

thf('142',plain,
    ( ~ ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c1_1 @ X8 ) )
    | ( c2_1 @ a1210 )
    | ~ ( c1_1 @ a1210 )
    | ~ ( c0_1 @ a1210 ) ),
    inference(split,[status(esa)],[zip_derived_cl1106]) ).

thf(zip_derived_cl61,plain,
    ! [X84: $i,X85: $i] :
      ( ( c0_1 @ X84 )
      | ( c1_1 @ X84 )
      | ~ ( c3_1 @ X84 )
      | ~ ndr1_0
      | ( c2_1 @ X85 )
      | ( c3_1 @ X85 )
      | ~ ( c0_1 @ X85 )
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('143',plain,
    ( hskp4
    | ! [X79: $i] :
        ( ( c0_1 @ X79 )
        | ( c1_1 @ X79 )
        | ~ ( c3_1 @ X79 ) )
    | ~ ndr1_0
    | ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c0_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(zip_derived_cl2,plain,
    ( hskp4
    | hskp18
    | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('144',plain,
    ( hskp4
    | hskp18
    | hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl58,plain,
    ! [X77: $i,X78: $i] :
      ( ( c0_1 @ X77 )
      | ( c2_1 @ X77 )
      | ( c3_1 @ X77 )
      | ~ ndr1_0
      | ( c2_1 @ X78 )
      | ~ ( c0_1 @ X78 )
      | ~ ( c1_1 @ X78 )
      | ~ ndr1_0
      | hskp27 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('145',plain,
    ( hskp27
    | ! [X72: $i] :
        ( ( c0_1 @ X72 )
        | ( c2_1 @ X72 )
        | ( c3_1 @ X72 ) )
    | ~ ndr1_0
    | ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c1_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf(zip_derived_cl80,plain,
    ( ~ hskp26
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('146',plain,
    ( ~ hskp26
    | ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl80]) ).

thf(zip_derived_cl84,plain,
    ( ~ hskp25
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('147',plain,
    ( ndr1_0
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl84]) ).

thf(zip_derived_cl180,plain,
    ( ~ hskp1
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('148',plain,
    ( ndr1_0
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl180]) ).

thf(zip_derived_cl12,plain,
    ( hskp26
    | hskp25
    | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('149',plain,
    ( hskp1
    | hskp25
    | hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl125,plain,
    ( ~ hskp15
    | ( c0_1 @ a1233 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('150',plain,
    ( ( c0_1 @ a1233 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl125]) ).

thf('151',plain,
    ( ( c1_1 @ a1233 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl127,plain,
    ( ~ hskp15
    | ~ ( c2_1 @ a1233 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('152',plain,
    ( ~ ( c2_1 @ a1233 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl565_085,plain,
    ( ( c1_1 @ a1233 )
   <= ( c1_1 @ a1233 ) ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl253_086,plain,
    ( ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c1_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c1_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl1009,plain,
    ( ( ( c2_1 @ a1233 )
      | ~ ( c0_1 @ a1233 ) )
   <= ( ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c1_1 @ X8 ) )
      & ( c1_1 @ a1233 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl565,zip_derived_cl253]) ).

thf('153',plain,
    ( ~ ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c1_1 @ X8 ) )
    | ~ ( c0_1 @ a1233 )
    | ( c2_1 @ a1233 )
    | ~ ( c1_1 @ a1233 ) ),
    inference(split,[status(esa)],[zip_derived_cl1009]) ).

thf('154',plain,
    ( ( c1_1 @ a1211 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl169]) ).

thf(zip_derived_cl170,plain,
    ( ~ hskp4
    | ~ ( c0_1 @ a1211 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('155',plain,
    ( ~ ( c0_1 @ a1211 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl171,plain,
    ( ~ hskp4
    | ~ ( c2_1 @ a1211 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('156',plain,
    ( ~ ( c2_1 @ a1211 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl171]) ).

thf(zip_derived_cl651_087,plain,
    ( ( c1_1 @ a1211 )
   <= ( c1_1 @ a1211 ) ),
    inference(split,[status(esa)],[zip_derived_cl169]) ).

thf(zip_derived_cl383_088,plain,
    ( ! [X68: $i] :
        ( ( c0_1 @ X68 )
        | ( c2_1 @ X68 )
        | ~ ( c1_1 @ X68 ) )
   <= ! [X68: $i] :
        ( ( c0_1 @ X68 )
        | ( c2_1 @ X68 )
        | ~ ( c1_1 @ X68 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(zip_derived_cl1579,plain,
    ( ( ( c0_1 @ a1211 )
      | ( c2_1 @ a1211 ) )
   <= ( ! [X68: $i] :
          ( ( c0_1 @ X68 )
          | ( c2_1 @ X68 )
          | ~ ( c1_1 @ X68 ) )
      & ( c1_1 @ a1211 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl651,zip_derived_cl383]) ).

thf('157',plain,
    ( ~ ! [X68: $i] :
          ( ( c0_1 @ X68 )
          | ( c2_1 @ X68 )
          | ~ ( c1_1 @ X68 ) )
    | ~ ( c1_1 @ a1211 )
    | ( c0_1 @ a1211 )
    | ( c2_1 @ a1211 ) ),
    inference(split,[status(esa)],[zip_derived_cl1579]) ).

thf(zip_derived_cl308_089,plain,
    ( ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c2_1 @ X31 )
        | ~ ( c3_1 @ X31 ) )
   <= ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c2_1 @ X31 )
        | ~ ( c3_1 @ X31 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl103,plain,
    ( ~ hskp21
    | ~ ( c1_1 @ a1257 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl519,plain,
    ( ~ ( c1_1 @ a1257 )
   <= ~ ( c1_1 @ a1257 ) ),
    inference(split,[status(esa)],[zip_derived_cl103]) ).

thf(zip_derived_cl1344,plain,
    ( ( ~ ( c3_1 @ a1257 )
      | ( c2_1 @ a1257 ) )
   <= ( ~ ( c1_1 @ a1257 )
      & ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c2_1 @ X31 )
          | ~ ( c3_1 @ X31 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl308,zip_derived_cl519]) ).

thf('158',plain,
    ( ( c2_1 @ a1257 )
    | ( c1_1 @ a1257 )
    | ~ ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ( c2_1 @ X31 )
          | ~ ( c3_1 @ X31 ) )
    | ~ ( c3_1 @ a1257 ) ),
    inference(split,[status(esa)],[zip_derived_cl1344]) ).

thf(zip_derived_cl277_090,plain,
    ( ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ~ ( c2_1 @ X18 )
        | ~ ( c3_1 @ X18 ) )
   <= ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ~ ( c2_1 @ X18 )
        | ~ ( c3_1 @ X18 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl519_091,plain,
    ( ~ ( c1_1 @ a1257 )
   <= ~ ( c1_1 @ a1257 ) ),
    inference(split,[status(esa)],[zip_derived_cl103]) ).

thf(zip_derived_cl825,plain,
    ( ( ~ ( c3_1 @ a1257 )
      | ~ ( c2_1 @ a1257 ) )
   <= ( ~ ( c1_1 @ a1257 )
      & ! [X18: $i] :
          ( ( c1_1 @ X18 )
          | ~ ( c2_1 @ X18 )
          | ~ ( c3_1 @ X18 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl277,zip_derived_cl519]) ).

thf('159',plain,
    ( ~ ( c2_1 @ a1257 )
    | ~ ( c3_1 @ a1257 )
    | ~ ! [X18: $i] :
          ( ( c1_1 @ X18 )
          | ~ ( c2_1 @ X18 )
          | ~ ( c3_1 @ X18 ) )
    | ( c1_1 @ a1257 ) ),
    inference(split,[status(esa)],[zip_derived_cl825]) ).

thf('160',plain,
    ( hskp25
    | ! [X68: $i] :
        ( ( c0_1 @ X68 )
        | ( c2_1 @ X68 )
        | ~ ( c1_1 @ X68 ) )
    | ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ( c3_1 @ X30 )
        | ~ ( c0_1 @ X30 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(zip_derived_cl121,plain,
    ( ~ hskp16
    | ( c0_1 @ a1236 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('161',plain,
    ( ( c0_1 @ a1236 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl122,plain,
    ( ~ hskp16
    | ~ ( c1_1 @ a1236 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('162',plain,
    ( ~ ( c1_1 @ a1236 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl123,plain,
    ( ~ hskp16
    | ~ ( c3_1 @ a1236 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('163',plain,
    ( ~ ( c3_1 @ a1236 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl304_092,plain,
    ( ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ( c3_1 @ X30 )
        | ~ ( c0_1 @ X30 ) )
   <= ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ( c3_1 @ X30 )
        | ~ ( c0_1 @ X30 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl557,plain,
    ( ~ ( c1_1 @ a1236 )
   <= ~ ( c1_1 @ a1236 ) ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl1287,plain,
    ( ( ~ ( c0_1 @ a1236 )
      | ( c3_1 @ a1236 ) )
   <= ( ~ ( c1_1 @ a1236 )
      & ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ( c3_1 @ X30 )
          | ~ ( c0_1 @ X30 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl304,zip_derived_cl557]) ).

thf('164',plain,
    ( ~ ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ( c3_1 @ X30 )
          | ~ ( c0_1 @ X30 ) )
    | ( c1_1 @ a1236 )
    | ( c3_1 @ a1236 )
    | ~ ( c0_1 @ a1236 ) ),
    inference(split,[status(esa)],[zip_derived_cl1287]) ).

thf(zip_derived_cl6,plain,
    ( hskp16
    | hskp20
    | hskp23 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('165',plain,
    ( hskp16
    | hskp20
    | hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl35,plain,
    ! [X32: $i] :
      ( ( c1_1 @ X32 )
      | ( c2_1 @ X32 )
      | ~ ( c3_1 @ X32 )
      | ~ ndr1_0
      | hskp15
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('166',plain,
    ( hskp4
    | ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ( c2_1 @ X31 )
        | ~ ( c3_1 @ X31 ) )
    | hskp15
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl100,plain,
    ( ~ hskp21
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('167',plain,
    ( ndr1_0
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl100]) ).

thf(zip_derived_cl73,plain,
    ( ~ hskp28
    | ( c0_1 @ a1214 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('168',plain,
    ( ( c0_1 @ a1214 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl73]) ).

thf(zip_derived_cl461_093,plain,
    ( ( c1_1 @ a1214 )
   <= ( c1_1 @ a1214 ) ),
    inference(split,[status(esa)],[zip_derived_cl74]) ).

thf(zip_derived_cl253_094,plain,
    ( ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c1_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c1_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl786,plain,
    ( ( ( c2_1 @ a1214 )
      | ~ ( c0_1 @ a1214 ) )
   <= ( ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c1_1 @ X8 ) )
      & ( c1_1 @ a1214 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl461,zip_derived_cl253]) ).

thf('169',plain,
    ( ~ ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c1_1 @ X8 ) )
    | ( c2_1 @ a1214 )
    | ~ ( c1_1 @ a1214 )
    | ~ ( c0_1 @ a1214 ) ),
    inference(split,[status(esa)],[zip_derived_cl786]) ).

thf('170',plain,
    ( ( c3_1 @ a1214 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl75]) ).

thf(zip_derived_cl2232,plain,
    ( ( c2_1 @ a1214 )
   <= ( c2_1 @ a1214 ) ),
    inference(split,[status(esa)],[zip_derived_cl786]) ).

thf(zip_derived_cl277_095,plain,
    ( ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ~ ( c2_1 @ X18 )
        | ~ ( c3_1 @ X18 ) )
   <= ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ~ ( c2_1 @ X18 )
        | ~ ( c3_1 @ X18 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl229_096,plain,
    ( ! [X1: $i] :
        ( ~ ( c1_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c1_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl810,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c1_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X18: $i] :
          ( ( c1_1 @ X18 )
          | ~ ( c2_1 @ X18 )
          | ~ ( c3_1 @ X18 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl277,zip_derived_cl229]) ).

thf(zip_derived_cl838,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c1_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X18: $i] :
          ( ( c1_1 @ X18 )
          | ~ ( c2_1 @ X18 )
          | ~ ( c3_1 @ X18 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl810]) ).

thf(zip_derived_cl463_097,plain,
    ( ( c3_1 @ a1214 )
   <= ( c3_1 @ a1214 ) ),
    inference(split,[status(esa)],[zip_derived_cl75]) ).

thf(zip_derived_cl2041,plain,
    ( ~ ( c2_1 @ a1214 )
   <= ( ! [X1: $i] :
          ( ~ ( c1_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X18: $i] :
          ( ( c1_1 @ X18 )
          | ~ ( c2_1 @ X18 )
          | ~ ( c3_1 @ X18 ) )
      & ( c3_1 @ a1214 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl838,zip_derived_cl463]) ).

thf('171',plain,
    ( ~ ! [X1: $i] :
          ( ~ ( c1_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ! [X18: $i] :
          ( ( c1_1 @ X18 )
          | ~ ( c2_1 @ X18 )
          | ~ ( c3_1 @ X18 ) )
    | ~ ( c3_1 @ a1214 )
    | ~ ( c2_1 @ a1214 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2232,zip_derived_cl2041]) ).

thf(zip_derived_cl93,plain,
    ( ~ hskp23
    | ~ ( c0_1 @ a1261 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('172',plain,
    ( ~ hskp23
    | ~ ( c0_1 @ a1261 ) ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf(zip_derived_cl94,plain,
    ( ~ hskp23
    | ~ ( c2_1 @ a1261 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('173',plain,
    ( ~ hskp23
    | ~ ( c2_1 @ a1261 ) ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf(zip_derived_cl95,plain,
    ( ~ hskp23
    | ~ ( c3_1 @ a1261 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('174',plain,
    ( ~ hskp23
    | ~ ( c3_1 @ a1261 ) ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl390_098,plain,
    ( ! [X72: $i] :
        ( ( c0_1 @ X72 )
        | ( c2_1 @ X72 )
        | ( c3_1 @ X72 ) )
   <= ! [X72: $i] :
        ( ( c0_1 @ X72 )
        | ( c2_1 @ X72 )
        | ( c3_1 @ X72 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf(zip_derived_cl503,plain,
    ( ~ ( c3_1 @ a1261 )
   <= ~ ( c3_1 @ a1261 ) ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl1777,plain,
    ( ( ( c2_1 @ a1261 )
      | ( c0_1 @ a1261 ) )
   <= ( ~ ( c3_1 @ a1261 )
      & ! [X72: $i] :
          ( ( c0_1 @ X72 )
          | ( c2_1 @ X72 )
          | ( c3_1 @ X72 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl390,zip_derived_cl503]) ).

thf('175',plain,
    ( ( c0_1 @ a1261 )
    | ( c2_1 @ a1261 )
    | ~ ! [X72: $i] :
          ( ( c0_1 @ X72 )
          | ( c2_1 @ X72 )
          | ( c3_1 @ X72 ) )
    | ( c3_1 @ a1261 ) ),
    inference(split,[status(esa)],[zip_derived_cl1777]) ).

thf(zip_derived_cl405_099,plain,
    ( ! [X79: $i] :
        ( ( c0_1 @ X79 )
        | ( c1_1 @ X79 )
        | ~ ( c3_1 @ X79 ) )
   <= ! [X79: $i] :
        ( ( c0_1 @ X79 )
        | ( c1_1 @ X79 )
        | ~ ( c3_1 @ X79 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl519_100,plain,
    ( ~ ( c1_1 @ a1257 )
   <= ~ ( c1_1 @ a1257 ) ),
    inference(split,[status(esa)],[zip_derived_cl103]) ).

thf(zip_derived_cl1833,plain,
    ( ( ~ ( c3_1 @ a1257 )
      | ( c0_1 @ a1257 ) )
   <= ( ~ ( c1_1 @ a1257 )
      & ! [X79: $i] :
          ( ( c0_1 @ X79 )
          | ( c1_1 @ X79 )
          | ~ ( c3_1 @ X79 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl405,zip_derived_cl519]) ).

thf('176',plain,
    ( ~ ( c3_1 @ a1257 )
    | ( c0_1 @ a1257 )
    | ~ ! [X79: $i] :
          ( ( c0_1 @ X79 )
          | ( c1_1 @ X79 )
          | ~ ( c3_1 @ X79 ) )
    | ( c1_1 @ a1257 ) ),
    inference(split,[status(esa)],[zip_derived_cl1833]) ).

thf(zip_derived_cl101,plain,
    ( ~ hskp21
    | ( c3_1 @ a1257 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('177',plain,
    ( ( c3_1 @ a1257 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf(zip_derived_cl102,plain,
    ( ~ hskp21
    | ~ ( c0_1 @ a1257 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('178',plain,
    ( ~ ( c0_1 @ a1257 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl102]) ).

thf('179',plain,
    ( ~ ( c1_1 @ a1257 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl103]) ).

thf(zip_derived_cl9,plain,
    ( hskp25
    | hskp21 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('180',plain,
    ( hskp21
    | hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl105,plain,
    ( ~ hskp20
    | ( c2_1 @ a1250 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('181',plain,
    ( ( c2_1 @ a1250 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl105]) ).

thf('182',plain,
    ( ( c3_1 @ a1250 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(zip_derived_cl838_101,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c1_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X18: $i] :
          ( ( c1_1 @ X18 )
          | ~ ( c2_1 @ X18 )
          | ~ ( c3_1 @ X18 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl810]) ).

thf(zip_derived_cl525_102,plain,
    ( ( c3_1 @ a1250 )
   <= ( c3_1 @ a1250 ) ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(zip_derived_cl2037,plain,
    ( ~ ( c2_1 @ a1250 )
   <= ( ! [X1: $i] :
          ( ~ ( c1_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X18: $i] :
          ( ( c1_1 @ X18 )
          | ~ ( c2_1 @ X18 )
          | ~ ( c3_1 @ X18 ) )
      & ( c3_1 @ a1250 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl838,zip_derived_cl525]) ).

thf(zip_derived_cl523,plain,
    ( ( c2_1 @ a1250 )
   <= ( c2_1 @ a1250 ) ),
    inference(split,[status(esa)],[zip_derived_cl105]) ).

thf('183',plain,
    ( ~ ( c2_1 @ a1250 )
    | ~ ( c3_1 @ a1250 )
    | ~ ! [X18: $i] :
          ( ( c1_1 @ X18 )
          | ~ ( c2_1 @ X18 )
          | ~ ( c3_1 @ X18 ) )
    | ~ ! [X1: $i] :
          ( ~ ( c1_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2037,zip_derived_cl523]) ).

thf(zip_derived_cl86,plain,
    ( ~ hskp25
    | ( c2_1 @ a1204 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('184',plain,
    ( ( c2_1 @ a1204 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf('185',plain,
    ( ( c3_1 @ a1204 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl838_103,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c1_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X18: $i] :
          ( ( c1_1 @ X18 )
          | ~ ( c2_1 @ X18 )
          | ~ ( c3_1 @ X18 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl810]) ).

thf(zip_derived_cl487_104,plain,
    ( ( c3_1 @ a1204 )
   <= ( c3_1 @ a1204 ) ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl2039,plain,
    ( ~ ( c2_1 @ a1204 )
   <= ( ! [X1: $i] :
          ( ~ ( c1_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X18: $i] :
          ( ( c1_1 @ X18 )
          | ~ ( c2_1 @ X18 )
          | ~ ( c3_1 @ X18 ) )
      & ( c3_1 @ a1204 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl838,zip_derived_cl487]) ).

thf(zip_derived_cl485,plain,
    ( ( c2_1 @ a1204 )
   <= ( c2_1 @ a1204 ) ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf('186',plain,
    ( ~ ! [X1: $i] :
          ( ~ ( c1_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ! [X18: $i] :
          ( ( c1_1 @ X18 )
          | ~ ( c2_1 @ X18 )
          | ~ ( c3_1 @ X18 ) )
    | ~ ( c2_1 @ a1204 )
    | ~ ( c3_1 @ a1204 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2039,zip_derived_cl485]) ).

thf(zip_derived_cl113,plain,
    ( ~ hskp18
    | ( c2_1 @ a1246 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('187',plain,
    ( ( c2_1 @ a1246 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl113]) ).

thf(zip_derived_cl114,plain,
    ( ~ hskp18
    | ( c3_1 @ a1246 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('188',plain,
    ( ( c3_1 @ a1246 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl114]) ).

thf('189',plain,
    ( ~ ( c1_1 @ a1246 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl115]) ).

thf(zip_derived_cl277_105,plain,
    ( ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ~ ( c2_1 @ X18 )
        | ~ ( c3_1 @ X18 ) )
   <= ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ~ ( c2_1 @ X18 )
        | ~ ( c3_1 @ X18 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl543_106,plain,
    ( ~ ( c1_1 @ a1246 )
   <= ~ ( c1_1 @ a1246 ) ),
    inference(split,[status(esa)],[zip_derived_cl115]) ).

thf(zip_derived_cl824,plain,
    ( ( ~ ( c3_1 @ a1246 )
      | ~ ( c2_1 @ a1246 ) )
   <= ( ~ ( c1_1 @ a1246 )
      & ! [X18: $i] :
          ( ( c1_1 @ X18 )
          | ~ ( c2_1 @ X18 )
          | ~ ( c3_1 @ X18 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl277,zip_derived_cl543]) ).

thf('190',plain,
    ( ~ ( c3_1 @ a1246 )
    | ( c1_1 @ a1246 )
    | ~ ! [X18: $i] :
          ( ( c1_1 @ X18 )
          | ~ ( c2_1 @ X18 )
          | ~ ( c3_1 @ X18 ) )
    | ~ ( c2_1 @ a1246 ) ),
    inference(split,[status(esa)],[zip_derived_cl824]) ).

thf(zip_derived_cl274_107,plain,
    ( ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c0_1 @ X16 ) )
   <= ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c0_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl159,plain,
    ( ~ hskp7
    | ~ ( c3_1 @ a1216 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl631,plain,
    ( ~ ( c3_1 @ a1216 )
   <= ~ ( c3_1 @ a1216 ) ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl754,plain,
    ( ( ~ ( c0_1 @ a1216 )
      | ( c2_1 @ a1216 ) )
   <= ( ~ ( c3_1 @ a1216 )
      & ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ( c3_1 @ X16 )
          | ~ ( c0_1 @ X16 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl274,zip_derived_cl631]) ).

thf('191',plain,
    ( ~ ( c0_1 @ a1216 )
    | ~ ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ( c3_1 @ X16 )
          | ~ ( c0_1 @ X16 ) )
    | ( c3_1 @ a1216 )
    | ( c2_1 @ a1216 ) ),
    inference(split,[status(esa)],[zip_derived_cl754]) ).

thf(zip_derived_cl158,plain,
    ( ~ hskp7
    | ~ ( c2_1 @ a1216 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('192',plain,
    ( ~ ( c2_1 @ a1216 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf('193',plain,
    ( ~ ( c3_1 @ a1216 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl390_108,plain,
    ( ! [X72: $i] :
        ( ( c0_1 @ X72 )
        | ( c2_1 @ X72 )
        | ( c3_1 @ X72 ) )
   <= ! [X72: $i] :
        ( ( c0_1 @ X72 )
        | ( c2_1 @ X72 )
        | ( c3_1 @ X72 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf(zip_derived_cl631_109,plain,
    ( ~ ( c3_1 @ a1216 )
   <= ~ ( c3_1 @ a1216 ) ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl1764,plain,
    ( ( ( c2_1 @ a1216 )
      | ( c0_1 @ a1216 ) )
   <= ( ~ ( c3_1 @ a1216 )
      & ! [X72: $i] :
          ( ( c0_1 @ X72 )
          | ( c2_1 @ X72 )
          | ( c3_1 @ X72 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl390,zip_derived_cl631]) ).

thf('194',plain,
    ( ~ ! [X72: $i] :
          ( ( c0_1 @ X72 )
          | ( c2_1 @ X72 )
          | ( c3_1 @ X72 ) )
    | ( c0_1 @ a1216 )
    | ( c2_1 @ a1216 )
    | ( c3_1 @ a1216 ) ),
    inference(split,[status(esa)],[zip_derived_cl1764]) ).

thf('195',plain,
    ( ( c3_1 @ a1213 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl79]) ).

thf('196',plain,
    ( ( c1_1 @ a1213 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl77]) ).

thf(zip_derived_cl78,plain,
    ( ~ hskp27
    | ( c2_1 @ a1213 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('197',plain,
    ( ( c2_1 @ a1213 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl78]) ).

thf(zip_derived_cl467_110,plain,
    ( ( c1_1 @ a1213 )
   <= ( c1_1 @ a1213 ) ),
    inference(split,[status(esa)],[zip_derived_cl77]) ).

thf(zip_derived_cl229_111,plain,
    ( ! [X1: $i] :
        ( ~ ( c1_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c1_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl790,plain,
    ( ( ~ ( c2_1 @ a1213 )
      | ~ ( c3_1 @ a1213 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c1_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ( c1_1 @ a1213 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl467,zip_derived_cl229]) ).

thf('198',plain,
    ( ~ ! [X1: $i] :
          ( ~ ( c1_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c1_1 @ a1213 )
    | ~ ( c2_1 @ a1213 )
    | ~ ( c3_1 @ a1213 ) ),
    inference(split,[status(esa)],[zip_derived_cl790]) ).

thf(zip_derived_cl49,plain,
    ! [X58: $i,X59: $i] :
      ( ( c0_1 @ X58 )
      | ( c3_1 @ X58 )
      | ~ ( c1_1 @ X58 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X59 )
      | ~ ( c2_1 @ X59 )
      | ~ ( c3_1 @ X59 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('199',plain,
    ( ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ( c3_1 @ X57 )
        | ~ ( c1_1 @ X57 ) )
    | ! [X1: $i] :
        ( ~ ( c1_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl81,plain,
    ( ~ hskp26
    | ( c0_1 @ a1208 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('200',plain,
    ( ~ hskp26
    | ( c0_1 @ a1208 ) ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf(zip_derived_cl82,plain,
    ( ~ hskp26
    | ( c1_1 @ a1208 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('201',plain,
    ( ~ hskp26
    | ( c1_1 @ a1208 ) ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl83,plain,
    ( ~ hskp26
    | ( c2_1 @ a1208 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('202',plain,
    ( ( c2_1 @ a1208 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl477,plain,
    ( ( c1_1 @ a1208 )
   <= ( c1_1 @ a1208 ) ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl237_112,plain,
    ( ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl846,plain,
    ( ( ~ ( c0_1 @ a1208 )
      | ~ ( c2_1 @ a1208 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ( c1_1 @ a1208 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl477,zip_derived_cl237]) ).

thf('203',plain,
    ( ~ ( c1_1 @ a1208 )
    | ~ ( c0_1 @ a1208 )
    | ~ ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
    | ~ ( c2_1 @ a1208 ) ),
    inference(split,[status(esa)],[zip_derived_cl846]) ).

thf(zip_derived_cl565_113,plain,
    ( ( c1_1 @ a1233 )
   <= ( c1_1 @ a1233 ) ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl320_114,plain,
    ( ! [X37: $i] :
        ( ( c3_1 @ X37 )
        | ~ ( c0_1 @ X37 )
        | ~ ( c1_1 @ X37 ) )
   <= ! [X37: $i] :
        ( ( c3_1 @ X37 )
        | ~ ( c0_1 @ X37 )
        | ~ ( c1_1 @ X37 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl1172,plain,
    ( ( ( c3_1 @ a1233 )
      | ~ ( c0_1 @ a1233 ) )
   <= ( ! [X37: $i] :
          ( ( c3_1 @ X37 )
          | ~ ( c0_1 @ X37 )
          | ~ ( c1_1 @ X37 ) )
      & ( c1_1 @ a1233 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl565,zip_derived_cl320]) ).

thf('204',plain,
    ( ~ ! [X37: $i] :
          ( ( c3_1 @ X37 )
          | ~ ( c0_1 @ X37 )
          | ~ ( c1_1 @ X37 ) )
    | ( c3_1 @ a1233 )
    | ~ ( c0_1 @ a1233 )
    | ~ ( c1_1 @ a1233 ) ),
    inference(split,[status(esa)],[zip_derived_cl1172]) ).

thf(zip_derived_cl597_115,plain,
    ( ( c3_1 @ a1224 )
   <= ( c3_1 @ a1224 ) ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf(zip_derived_cl380,plain,
    ( ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ( c2_1 @ X65 )
        | ~ ( c3_1 @ X65 ) )
   <= ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ( c2_1 @ X65 )
        | ~ ( c3_1 @ X65 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl1552,plain,
    ( ( ( c0_1 @ a1224 )
      | ( c2_1 @ a1224 ) )
   <= ( ! [X65: $i] :
          ( ( c0_1 @ X65 )
          | ( c2_1 @ X65 )
          | ~ ( c3_1 @ X65 ) )
      & ( c3_1 @ a1224 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl597,zip_derived_cl380]) ).

thf('205',plain,
    ( ~ ! [X65: $i] :
          ( ( c0_1 @ X65 )
          | ( c2_1 @ X65 )
          | ~ ( c3_1 @ X65 ) )
    | ( c0_1 @ a1224 )
    | ( c2_1 @ a1224 )
    | ~ ( c3_1 @ a1224 ) ),
    inference(split,[status(esa)],[zip_derived_cl1552]) ).

thf(zip_derived_cl56,plain,
    ! [X73: $i] :
      ( ( c0_1 @ X73 )
      | ( c2_1 @ X73 )
      | ( c3_1 @ X73 )
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('206',plain,
    ( hskp28
    | ! [X72: $i] :
        ( ( c0_1 @ X72 )
        | ( c2_1 @ X72 )
        | ( c3_1 @ X72 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl56]) ).

thf('207',plain,
    ( ( c1_1 @ a1214 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl74]) ).

thf(zip_derived_cl285_116,plain,
    ( ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ~ ( c0_1 @ X22 )
        | ~ ( c2_1 @ X22 ) )
   <= ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ~ ( c0_1 @ X22 )
        | ~ ( c2_1 @ X22 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl237_117,plain,
    ( ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl922,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ~ ( c0_1 @ X22 )
          | ~ ( c2_1 @ X22 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl285,zip_derived_cl237]) ).

thf(zip_derived_cl950,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ~ ( c0_1 @ X22 )
          | ~ ( c2_1 @ X22 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl922]) ).

thf(zip_derived_cl675,plain,
    ( ( c0_1 @ a1206 )
   <= ( c0_1 @ a1206 ) ),
    inference(split,[status(esa)],[zip_derived_cl181]) ).

thf(zip_derived_cl2064,plain,
    ( ~ ( c2_1 @ a1206 )
   <= ( ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ~ ( c0_1 @ X22 )
          | ~ ( c2_1 @ X22 ) )
      & ( c0_1 @ a1206 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl950,zip_derived_cl675]) ).

thf(zip_derived_cl274_118,plain,
    ( ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c0_1 @ X16 ) )
   <= ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c0_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl679_119,plain,
    ( ~ ( c3_1 @ a1206 )
   <= ~ ( c3_1 @ a1206 ) ),
    inference(split,[status(esa)],[zip_derived_cl183]) ).

thf(zip_derived_cl750,plain,
    ( ( ~ ( c0_1 @ a1206 )
      | ( c2_1 @ a1206 ) )
   <= ( ~ ( c3_1 @ a1206 )
      & ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ( c3_1 @ X16 )
          | ~ ( c0_1 @ X16 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl274,zip_derived_cl679]) ).

thf(zip_derived_cl774,plain,
    ( ( c2_1 @ a1206 )
   <= ( c2_1 @ a1206 ) ),
    inference(split,[status(esa)],[zip_derived_cl750]) ).

thf('208',plain,
    ( ~ ( c0_1 @ a1206 )
    | ~ ( c2_1 @ a1206 )
    | ~ ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ~ ( c0_1 @ X22 )
          | ~ ( c2_1 @ X22 ) )
    | ~ ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2064,zip_derived_cl774]) ).

thf('209',plain,
    ( ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c0_1 @ X16 ) )
    | ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl565_120,plain,
    ( ( c1_1 @ a1233 )
   <= ( c1_1 @ a1233 ) ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl229_121,plain,
    ( ! [X1: $i] :
        ( ~ ( c1_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c1_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl1005,plain,
    ( ( ~ ( c2_1 @ a1233 )
      | ~ ( c3_1 @ a1233 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c1_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ( c1_1 @ a1233 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl565,zip_derived_cl229]) ).

thf(zip_derived_cl1428,plain,
    ( ~ ( c3_1 @ a1233 )
   <= ~ ( c3_1 @ a1233 ) ),
    inference(split,[status(esa)],[zip_derived_cl1005]) ).

thf(zip_derived_cl274_122,plain,
    ( ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c0_1 @ X16 ) )
   <= ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c0_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl1430,plain,
    ( ( ( c2_1 @ a1233 )
      | ~ ( c0_1 @ a1233 ) )
   <= ( ~ ( c3_1 @ a1233 )
      & ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ( c3_1 @ X16 )
          | ~ ( c0_1 @ X16 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1428,zip_derived_cl274]) ).

thf('210',plain,
    ( ( c3_1 @ a1233 )
    | ~ ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ( c3_1 @ X16 )
          | ~ ( c0_1 @ X16 ) )
    | ( c2_1 @ a1233 )
    | ~ ( c0_1 @ a1233 ) ),
    inference(split,[status(esa)],[zip_derived_cl1430]) ).

thf(zip_derived_cl565_123,plain,
    ( ( c1_1 @ a1233 )
   <= ( c1_1 @ a1233 ) ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl245_124,plain,
    ( ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl1008,plain,
    ( ( ( c3_1 @ a1233 )
      | ~ ( c2_1 @ a1233 ) )
   <= ( ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
      & ( c1_1 @ a1233 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl565,zip_derived_cl245]) ).

thf(zip_derived_cl3655,plain,
    ( ( c3_1 @ a1233 )
   <= ( c3_1 @ a1233 ) ),
    inference(split,[status(esa)],[zip_derived_cl1008]) ).

thf(zip_derived_cl250_125,plain,
    ( ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c3_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c3_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl3668,plain,
    ( ( ( c2_1 @ a1233 )
      | ~ ( c0_1 @ a1233 ) )
   <= ( ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c3_1 @ X6 ) )
      & ( c3_1 @ a1233 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3655,zip_derived_cl250]) ).

thf('211',plain,
    ( ~ ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c3_1 @ X6 ) )
    | ~ ( c3_1 @ a1233 )
    | ~ ( c0_1 @ a1233 )
    | ( c2_1 @ a1233 ) ),
    inference(split,[status(esa)],[zip_derived_cl3668]) ).

thf('212',plain,
    ( ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c3_1 @ X6 ) )
    | hskp3
    | ~ ndr1_0
    | ! [X1: $i] :
        ( ~ ( c1_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl7630,plain,
    $false,
    inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6','7','8','9','10','11','12','13','14','15','16','17','18','19','20','21','22','23','24','25','26','27','28','29','30','31','32','33','34','35','36','37','38','39','40','41','42','43','44','45','46','47','48','49','50','51','52','53','54','55','56','57','58','59','60','61','62','63','64','65','66','67','68','69','70','71','72','73','74','75','76','77','78','79','80','81','82','83','84','85','86','87','88','89','90','91','92','93','94','95','96','97','98','99','100','101','102','103','104','105','106','107','108','109','110','111','112','113','114','115','116','117','118','119','120','121','122','123','124','125','126','127','128','129','130','131','132','133','134','135','136','137','138','139','140','141','142','143','144','145','146','147','148','149','150','151','152','153','154','155','156','157','158','159','160','161','162','163','164','165','166','167','168','169','170','171','172','173','174','175','176','177','178','179','180','181','182','183','184','185','186','187','188','189','190','191','192','193','194','195','196','197','198','199','200','201','202','203','204','205','206','207','208','209','210','211','212']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN477+1 : TPTP v9.2.0. Released v2.1.0.
% 0.03/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.d7U78x218L true
% 0.13/0.35  % Computer : n003.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Wed Oct  1 13:35:38 EDT 2025
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.54/0.64  % Total configuration time : 435
% 0.54/0.64  % Estimated wc time : 1092
% 0.54/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.78  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.79  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.80  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 6.78/1.58  % Solved by fo/fo1_av.sh.
% 6.78/1.58  % done 1892 iterations in 0.781s
% 6.78/1.58  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 6.78/1.58  % SZS output start Refutation
% See solution above
% 6.78/1.59  
% 6.78/1.59  
% 6.78/1.59  % Terminating...
% 7.25/1.67  % Runner terminated.
% 7.25/1.68  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------