TSTP Solution File: SYN485+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN485+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.dlOMXgtLUO true

% Computer : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep  1 04:04:03 EDT 2023

% Result   : Theorem 4.55s 1.46s
% Output   : Refutation 4.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   66
% Syntax   : Number of formulae    :  642 (   1 unt;  65 typ;   0 def)
%            Number of atoms       : 4134 (   0 equ;   0 cnn)
%            Maximal formula atoms :  732 (   7 avg)
%            Number of connectives : 8832 (2104   ~;2584   |; 480   &;3171   @)
%                                         (   0 <=>; 238  =>; 255  <=;   0 <~>)
%            Maximal formula depth :  109 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   66 (  65 usr;  62 con; 0-1 aty)
%            Number of variables   :  734 (   0   ^; 734   !;   0   ?; 734   :)

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

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

thf(a2093_type,type,
    a2093: $i ).

thf(a2149_type,type,
    a2149: $i ).

thf(a2075_type,type,
    a2075: $i ).

thf(a2104_type,type,
    a2104: $i ).

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

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

thf(a2068_type,type,
    a2068: $i ).

thf(a2078_type,type,
    a2078: $i ).

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

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

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

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

thf(a2070_type,type,
    a2070: $i ).

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

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

thf(a2074_type,type,
    a2074: $i ).

thf(a2122_type,type,
    a2122: $i ).

thf(a2140_type,type,
    a2140: $i ).

thf(a2077_type,type,
    a2077: $i ).

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

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

thf(a2087_type,type,
    a2087: $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(a2084_type,type,
    a2084: $i ).

thf(a2095_type,type,
    a2095: $i ).

thf(a2116_type,type,
    a2116: $i ).

thf(a2136_type,type,
    a2136: $i ).

thf(a2069_type,type,
    a2069: $i ).

thf(a2110_type,type,
    a2110: $i ).

thf(a2099_type,type,
    a2099: $i ).

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

thf(a2130_type,type,
    a2130: $i ).

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

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

thf(a2079_type,type,
    a2079: $i ).

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

thf(a2172_type,type,
    a2172: $i ).

thf(a2071_type,type,
    a2071: $i ).

thf(a2082_type,type,
    a2082: $i ).

thf(a2096_type,type,
    a2096: $i ).

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

thf(a2072_type,type,
    a2072: $i ).

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

thf(a2097_type,type,
    a2097: $i ).

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

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

thf(a2076_type,type,
    a2076: $i ).

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

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

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

thf(a2160_type,type,
    a2160: $i ).

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

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

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

thf(a2073_type,type,
    a2073: $i ).

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

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

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

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

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

thf(co1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & ( c3_1 @ a2068 )
          & ~ ( c0_1 @ a2068 )
          & ~ ( c2_1 @ a2068 ) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & ( c0_1 @ a2070 )
          & ( c3_1 @ a2070 )
          & ~ ( c2_1 @ a2070 ) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & ( c0_1 @ a2071 )
          & ( c2_1 @ a2071 )
          & ~ ( c3_1 @ a2071 ) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & ~ ( c0_1 @ a2072 )
          & ~ ( c1_1 @ a2072 )
          & ~ ( c3_1 @ a2072 ) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & ( c1_1 @ a2074 )
          & ( c3_1 @ a2074 )
          & ~ ( c2_1 @ a2074 ) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & ( c1_1 @ a2076 )
          & ( c3_1 @ a2076 )
          & ~ ( c0_1 @ a2076 ) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & ( c0_1 @ a2078 )
          & ~ ( c1_1 @ a2078 )
          & ~ ( c2_1 @ a2078 ) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & ( c0_1 @ a2079 )
          & ( c1_1 @ a2079 )
          & ~ ( c3_1 @ a2079 ) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & ( c1_1 @ a2082 )
          & ( c2_1 @ a2082 )
          & ~ ( c0_1 @ a2082 ) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & ( c2_1 @ a2084 )
          & ( c3_1 @ a2084 )
          & ~ ( c1_1 @ a2084 ) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & ( c2_1 @ a2087 )
          & ~ ( c1_1 @ a2087 )
          & ~ ( c3_1 @ a2087 ) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & ( c0_1 @ a2093 )
          & ~ ( c1_1 @ a2093 )
          & ~ ( c3_1 @ a2093 ) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & ( c1_1 @ a2095 )
          & ~ ( c0_1 @ a2095 )
          & ~ ( c2_1 @ a2095 ) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & ( c2_1 @ a2096 )
          & ~ ( c0_1 @ a2096 )
          & ~ ( c1_1 @ a2096 ) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & ~ ( c0_1 @ a2097 )
          & ~ ( c1_1 @ a2097 )
          & ~ ( c2_1 @ a2097 ) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & ( c0_1 @ a2099 )
          & ~ ( c2_1 @ a2099 )
          & ~ ( c3_1 @ a2099 ) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & ( c3_1 @ a2104 )
          & ~ ( c0_1 @ a2104 )
          & ~ ( c1_1 @ a2104 ) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & ( c0_1 @ a2110 )
          & ( c2_1 @ a2110 )
          & ~ ( c1_1 @ a2110 ) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & ( c1_1 @ a2116 )
          & ~ ( c2_1 @ a2116 )
          & ~ ( c3_1 @ a2116 ) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & ( c2_1 @ a2122 )
          & ~ ( c0_1 @ a2122 )
          & ~ ( c3_1 @ a2122 ) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & ~ ( c1_1 @ a2130 )
          & ~ ( c2_1 @ a2130 )
          & ~ ( c3_1 @ a2130 ) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & ( c0_1 @ a2136 )
          & ( c1_1 @ a2136 )
          & ~ ( c2_1 @ a2136 ) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & ( c2_1 @ a2140 )
          & ( c3_1 @ a2140 )
          & ~ ( c0_1 @ a2140 ) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & ( c0_1 @ a2149 )
          & ( c3_1 @ a2149 )
          & ~ ( c1_1 @ a2149 ) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & ( c1_1 @ a2160 )
          & ( c2_1 @ a2160 )
          & ~ ( c3_1 @ a2160 ) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & ( c1_1 @ a2172 )
          & ~ ( c0_1 @ a2172 )
          & ~ ( c3_1 @ a2172 ) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & ( c0_1 @ a2069 )
          & ( c2_1 @ a2069 )
          & ( c3_1 @ a2069 ) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & ( c0_1 @ a2073 )
          & ( c1_1 @ a2073 )
          & ( c3_1 @ a2073 ) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & ( c0_1 @ a2075 )
          & ( c1_1 @ a2075 )
          & ( c2_1 @ a2075 ) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & ( c1_1 @ a2077 )
          & ( c2_1 @ a2077 )
          & ( c3_1 @ a2077 ) ) )
      & ( ! [U: $i] :
            ( ndr1_0
           => ( ( c0_1 @ U )
              | ( c1_1 @ U )
              | ( c2_1 @ U ) ) )
        | ! [V: $i] :
            ( ndr1_0
           => ( ( c0_1 @ V )
              | ( c2_1 @ V )
              | ~ ( c1_1 @ V ) ) )
        | ! [W: $i] :
            ( ndr1_0
           => ( ( c1_1 @ W )
              | ( c2_1 @ W )
              | ( c3_1 @ W ) ) ) )
      & ( ! [X: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X )
              | ( c1_1 @ X )
              | ( c2_1 @ X ) ) )
        | ! [Y: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ Y )
              | ~ ( c2_1 @ Y )
              | ~ ( c3_1 @ Y ) ) )
        | hskp0 )
      & ( ! [Z: $i] :
            ( ndr1_0
           => ( ( c0_1 @ Z )
              | ( c1_1 @ Z )
              | ( c2_1 @ Z ) ) )
        | hskp26
        | hskp1 )
      & ( ! [X1: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X1 )
              | ( c1_1 @ X1 )
              | ( c2_1 @ X1 ) ) )
        | hskp2
        | hskp3 )
      & ( ! [X2: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X2 )
              | ( c1_1 @ X2 )
              | ( c3_1 @ X2 ) ) )
        | ! [X3: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X3 )
              | ( c1_1 @ X3 )
              | ~ ( c2_1 @ X3 ) ) )
        | hskp27 )
      & ( ! [X4: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X4 )
              | ( c1_1 @ X4 )
              | ( c3_1 @ X4 ) ) )
        | ! [X5: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X5 )
              | ( c3_1 @ X5 )
              | ~ ( c2_1 @ X5 ) ) )
        | hskp4 )
      & ( ! [X6: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X6 )
              | ( c1_1 @ X6 )
              | ( c3_1 @ X6 ) ) )
        | hskp28
        | hskp5 )
      & ( ! [X7: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X7 )
              | ( c1_1 @ X7 )
              | ~ ( c2_1 @ X7 ) ) )
        | ! [X8: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X8 )
              | ~ ( c2_1 @ X8 )
              | ~ ( c3_1 @ X8 ) ) )
        | ! [X9: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X9 )
              | ~ ( c0_1 @ X9 )
              | ~ ( c2_1 @ X9 ) ) ) )
      & ( ! [X10: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X10 )
              | ( c1_1 @ X10 )
              | ~ ( c2_1 @ X10 ) ) )
        | ! [X11: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X11 )
              | ~ ( c0_1 @ X11 )
              | ~ ( c1_1 @ X11 ) ) )
        | hskp29 )
      & ( ! [X12: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X12 )
              | ( c1_1 @ X12 )
              | ~ ( c3_1 @ X12 ) ) )
        | ! [X13: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X13 )
              | ~ ( c0_1 @ X13 )
              | ~ ( c3_1 @ X13 ) ) )
        | hskp6 )
      & ( ! [X14: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X14 )
              | ( c1_1 @ X14 )
              | ~ ( c3_1 @ X14 ) ) )
        | ! [X15: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X15 )
              | ~ ( c2_1 @ X15 )
              | ~ ( c3_1 @ X15 ) ) )
        | ! [X16: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X16 )
              | ( c3_1 @ X16 )
              | ~ ( c1_1 @ X16 ) ) ) )
      & ( ! [X17: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X17 )
              | ( c1_1 @ X17 )
              | ~ ( c3_1 @ X17 ) ) )
        | ! [X18: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X18 )
              | ~ ( c1_1 @ X18 )
              | ~ ( c3_1 @ X18 ) ) )
        | hskp7 )
      & ( ! [X19: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X19 )
              | ( c2_1 @ X19 )
              | ( c3_1 @ X19 ) ) )
        | ! [X20: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X20 )
              | ( c3_1 @ X20 )
              | ~ ( c2_1 @ X20 ) ) )
        | ! [X21: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X21 )
              | ~ ( c1_1 @ X21 )
              | ~ ( c3_1 @ X21 ) ) ) )
      & ( ! [X22: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X22 )
              | ( c2_1 @ X22 )
              | ( c3_1 @ X22 ) ) )
        | hskp5
        | hskp4 )
      & ( ! [X23: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X23 )
              | ( c2_1 @ X23 )
              | ~ ( c1_1 @ X23 ) ) )
        | ! [X24: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X24 )
              | ( c3_1 @ X24 )
              | ~ ( c2_1 @ X24 ) ) )
        | hskp8 )
      & ( ! [X25: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X25 )
              | ( c2_1 @ X25 )
              | ~ ( c1_1 @ X25 ) ) )
        | ! [X26: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X26 )
              | ~ ( c0_1 @ X26 )
              | ~ ( c3_1 @ X26 ) ) )
        | hskp2 )
      & ( ! [X27: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X27 )
              | ( c2_1 @ X27 )
              | ~ ( c1_1 @ X27 ) ) )
        | ! [X28: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X28 )
              | ~ ( c0_1 @ X28 )
              | ~ ( c1_1 @ X28 ) ) )
        | hskp9 )
      & ( ! [X29: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X29 )
              | ( c2_1 @ X29 )
              | ~ ( c1_1 @ X29 ) ) )
        | ! [X30: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X30 )
              | ~ ( c0_1 @ X30 )
              | ~ ( c3_1 @ X30 ) ) )
        | hskp9 )
      & ( ! [X31: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X31 )
              | ( c2_1 @ X31 )
              | ~ ( c3_1 @ X31 ) ) )
        | ! [X32: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X32 )
              | ( c3_1 @ X32 )
              | ~ ( c1_1 @ X32 ) ) )
        | ! [X33: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X33 )
              | ( c3_1 @ X33 )
              | ~ ( c1_1 @ X33 ) ) ) )
      & ( ! [X34: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X34 )
              | ( c2_1 @ X34 )
              | ~ ( c3_1 @ X34 ) ) )
        | ! [X35: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X35 )
              | ( c2_1 @ X35 )
              | ~ ( c3_1 @ X35 ) ) )
        | hskp4 )
      & ( ! [X36: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X36 )
              | ( c2_1 @ X36 )
              | ~ ( c3_1 @ X36 ) ) )
        | ! [X37: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X37 )
              | ~ ( c2_1 @ X37 )
              | ~ ( c3_1 @ X37 ) ) )
        | hskp10 )
      & ( ! [X38: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X38 )
              | ( c2_1 @ X38 )
              | ~ ( c3_1 @ X38 ) ) )
        | hskp27
        | hskp7 )
      & ( ! [X39: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X39 )
              | ( c3_1 @ X39 )
              | ~ ( c1_1 @ X39 ) ) )
        | ! [X40: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X40 )
              | ~ ( c2_1 @ X40 )
              | ~ ( c3_1 @ X40 ) ) )
        | hskp4 )
      & ( ! [X41: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X41 )
              | ( c3_1 @ X41 )
              | ~ ( c1_1 @ X41 ) ) )
        | ! [X42: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X42 )
              | ~ ( c2_1 @ X42 )
              | ~ ( c3_1 @ X42 ) ) )
        | hskp8 )
      & ( ! [X43: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X43 )
              | ( c3_1 @ X43 )
              | ~ ( c2_1 @ X43 ) ) )
        | ! [X44: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X44 )
              | ~ ( c1_1 @ X44 )
              | ~ ( c2_1 @ X44 ) ) )
        | hskp1 )
      & ( ! [X45: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X45 )
              | ( c3_1 @ X45 )
              | ~ ( c2_1 @ X45 ) ) )
        | ! [X46: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X46 )
              | ( c2_1 @ X46 )
              | ~ ( c0_1 @ X46 ) ) )
        | hskp11 )
      & ( ! [X47: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X47 )
              | ( c3_1 @ X47 )
              | ~ ( c2_1 @ X47 ) ) )
        | ! [X48: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X48 )
              | ~ ( c2_1 @ X48 )
              | ~ ( c3_1 @ X48 ) ) )
        | hskp10 )
      & ( ! [X49: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X49 )
              | ( c3_1 @ X49 )
              | ~ ( c2_1 @ X49 ) ) )
        | ! [X50: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X50 )
              | ~ ( c0_1 @ X50 )
              | ~ ( c3_1 @ X50 ) ) )
        | ! [X51: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X51 )
              | ~ ( c1_1 @ X51 )
              | ~ ( c3_1 @ X51 ) ) ) )
      & ( ! [X52: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X52 )
              | ( c3_1 @ X52 )
              | ~ ( c2_1 @ X52 ) ) )
        | hskp12
        | hskp13 )
      & ( ! [X53: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X53 )
              | ~ ( c1_1 @ X53 )
              | ~ ( c2_1 @ X53 ) ) )
        | ! [X54: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X54 )
              | ( c2_1 @ X54 )
              | ( c3_1 @ X54 ) ) )
        | hskp14 )
      & ( ! [X55: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X55 )
              | ~ ( c1_1 @ X55 )
              | ~ ( c2_1 @ X55 ) ) )
        | ! [X56: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X56 )
              | ( c3_1 @ X56 )
              | ~ ( c2_1 @ X56 ) ) )
        | hskp11 )
      & ( ! [X57: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X57 )
              | ~ ( c1_1 @ X57 )
              | ~ ( c3_1 @ X57 ) ) )
        | ! [X58: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X58 )
              | ( c2_1 @ X58 )
              | ~ ( c3_1 @ X58 ) ) )
        | hskp15 )
      & ( ! [X59: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X59 )
              | ~ ( c1_1 @ X59 )
              | ~ ( c3_1 @ X59 ) ) )
        | ! [X60: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X60 )
              | ~ ( c0_1 @ X60 )
              | ~ ( c3_1 @ X60 ) ) )
        | ! [X61: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X61 )
              | ~ ( c0_1 @ X61 )
              | ~ ( c1_1 @ X61 ) ) ) )
      & ( ! [X62: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X62 )
              | ~ ( c1_1 @ X62 )
              | ~ ( c3_1 @ X62 ) ) )
        | hskp28
        | hskp4 )
      & ( ! [X63: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X63 )
              | ~ ( c1_1 @ X63 )
              | ~ ( c3_1 @ X63 ) ) )
        | hskp0 )
      & ( ! [X64: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X64 )
              | ~ ( c2_1 @ X64 )
              | ~ ( c3_1 @ X64 ) ) )
        | ! [X65: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X65 )
              | ~ ( c2_1 @ X65 )
              | ~ ( c3_1 @ X65 ) ) )
        | hskp27 )
      & ( ! [X66: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X66 )
              | ~ ( c2_1 @ X66 )
              | ~ ( c3_1 @ X66 ) ) )
        | ! [X67: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X67 )
              | ( c3_1 @ X67 )
              | ~ ( c0_1 @ X67 ) ) )
        | hskp16 )
      & ( ! [X68: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X68 )
              | ~ ( c2_1 @ X68 )
              | ~ ( c3_1 @ X68 ) ) )
        | ! [X69: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X69 )
              | ~ ( c1_1 @ X69 )
              | ~ ( c2_1 @ X69 ) ) )
        | hskp26 )
      & ( ! [X70: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X70 )
              | ~ ( c2_1 @ X70 )
              | ~ ( c3_1 @ X70 ) ) )
        | hskp27
        | hskp29 )
      & ( ! [X71: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X71 )
              | ~ ( c2_1 @ X71 )
              | ~ ( c3_1 @ X71 ) ) )
        | hskp11
        | hskp0 )
      & ( ! [X72: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X72 )
              | ( c2_1 @ X72 )
              | ( c3_1 @ X72 ) ) )
        | hskp17
        | hskp1 )
      & ( ! [X73: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X73 )
              | ( c2_1 @ X73 )
              | ~ ( c0_1 @ X73 ) ) )
        | ! [X74: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X74 )
              | ~ ( c2_1 @ X74 )
              | ~ ( c3_1 @ X74 ) ) )
        | hskp26 )
      & ( ! [X75: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X75 )
              | ( c2_1 @ X75 )
              | ~ ( c3_1 @ X75 ) ) )
        | ! [X76: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X76 )
              | ~ ( c0_1 @ X76 )
              | ~ ( c2_1 @ X76 ) ) )
        | hskp16 )
      & ( ! [X77: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X77 )
              | ( c2_1 @ X77 )
              | ~ ( c3_1 @ X77 ) ) )
        | ! [X78: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X78 )
              | ~ ( c2_1 @ X78 )
              | ~ ( c3_1 @ X78 ) ) )
        | hskp8 )
      & ( ! [X79: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X79 )
              | ( c2_1 @ X79 )
              | ~ ( c3_1 @ X79 ) ) )
        | hskp26
        | hskp18 )
      & ( ! [X80: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X80 )
              | ( c3_1 @ X80 )
              | ~ ( c0_1 @ X80 ) ) )
        | ! [X81: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X81 )
              | ~ ( c2_1 @ X81 )
              | ~ ( c3_1 @ X81 ) ) )
        | hskp26 )
      & ( ! [X82: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X82 )
              | ( c3_1 @ X82 )
              | ~ ( c0_1 @ X82 ) ) )
        | ! [X83: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X83 )
              | ~ ( c1_1 @ X83 )
              | ~ ( c3_1 @ X83 ) ) )
        | hskp3 )
      & ( ! [X84: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X84 )
              | ( c3_1 @ X84 )
              | ~ ( c0_1 @ X84 ) ) )
        | ! [X85: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X85 )
              | ~ ( c1_1 @ X85 )
              | ~ ( c3_1 @ X85 ) ) )
        | ! [X86: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X86 )
              | ~ ( c2_1 @ X86 )
              | ~ ( c3_1 @ X86 ) ) ) )
      & ( ! [X87: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X87 )
              | ( c3_1 @ X87 )
              | ~ ( c0_1 @ X87 ) ) )
        | hskp1
        | hskp8 )
      & ( ! [X88: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X88 )
              | ( c3_1 @ X88 )
              | ~ ( c0_1 @ X88 ) ) )
        | hskp11
        | hskp19 )
      & ( ! [X89: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X89 )
              | ~ ( c0_1 @ X89 )
              | ~ ( c3_1 @ X89 ) ) )
        | ! [X90: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X90 )
              | ( c3_1 @ X90 )
              | ~ ( c1_1 @ X90 ) ) )
        | hskp17 )
      & ( ! [X91: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X91 )
              | ~ ( c0_1 @ X91 )
              | ~ ( c3_1 @ X91 ) ) )
        | ! [X92: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X92 )
              | ( c3_1 @ X92 )
              | ~ ( c1_1 @ X92 ) ) )
        | hskp8 )
      & ( ! [X93: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X93 )
              | ~ ( c0_1 @ X93 )
              | ~ ( c3_1 @ X93 ) ) )
        | hskp26
        | hskp5 )
      & ( ! [X94: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X94 )
              | ~ ( c0_1 @ X94 )
              | ~ ( c3_1 @ X94 ) ) )
        | hskp11
        | hskp10 )
      & ( ! [X95: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X95 )
              | ~ ( c2_1 @ X95 )
              | ~ ( c3_1 @ X95 ) ) )
        | ! [X96: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X96 )
              | ~ ( c0_1 @ X96 )
              | ~ ( c3_1 @ X96 ) ) )
        | hskp3 )
      & ( ! [X97: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X97 )
              | ~ ( c2_1 @ X97 )
              | ~ ( c3_1 @ X97 ) ) )
        | ! [X98: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X98 )
              | ~ ( c1_1 @ X98 )
              | ~ ( c2_1 @ X98 ) ) )
        | hskp20 )
      & ( ! [X99: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X99 )
              | ~ ( c2_1 @ X99 )
              | ~ ( c3_1 @ X99 ) ) )
        | hskp7
        | hskp15 )
      & ( ! [X100: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X100 )
              | ( c3_1 @ X100 )
              | ~ ( c0_1 @ X100 ) ) )
        | ! [X101: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X101 )
              | ~ ( c1_1 @ X101 )
              | ~ ( c2_1 @ X101 ) ) )
        | hskp11 )
      & ( ! [X102: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X102 )
              | ~ ( c0_1 @ X102 )
              | ~ ( c1_1 @ X102 ) ) )
        | ! [X103: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X103 )
              | ~ ( c1_1 @ X103 )
              | ~ ( c3_1 @ X103 ) ) )
        | hskp5 )
      & ( ! [X104: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X104 )
              | ~ ( c0_1 @ X104 )
              | ~ ( c1_1 @ X104 ) ) )
        | ! [X105: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X105 )
              | ~ ( c1_1 @ X105 )
              | ~ ( c2_1 @ X105 ) ) )
        | hskp12 )
      & ( ! [X106: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X106 )
              | ~ ( c0_1 @ X106 )
              | ~ ( c1_1 @ X106 ) ) )
        | hskp21
        | hskp16 )
      & ( ! [X107: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X107 )
              | ~ ( c0_1 @ X107 )
              | ~ ( c1_1 @ X107 ) ) )
        | hskp17
        | hskp20 )
      & ( ! [X108: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X108 )
              | ~ ( c0_1 @ X108 )
              | ~ ( c1_1 @ X108 ) ) )
        | hskp22 )
      & ( ! [X109: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X109 )
              | ~ ( c0_1 @ X109 )
              | ~ ( c3_1 @ X109 ) ) )
        | ! [X110: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X110 )
              | ~ ( c0_1 @ X110 )
              | ~ ( c2_1 @ X110 ) ) )
        | hskp4 )
      & ( ! [X111: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X111 )
              | ~ ( c0_1 @ X111 )
              | ~ ( c3_1 @ X111 ) ) )
        | hskp7
        | hskp16 )
      & ( ! [X112: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X112 )
              | ~ ( c1_1 @ X112 )
              | ~ ( c2_1 @ X112 ) ) )
        | hskp7
        | hskp4 )
      & ( ! [X113: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X113 )
              | ~ ( c1_1 @ X113 )
              | ~ ( c3_1 @ X113 ) ) )
        | hskp17
        | hskp22 )
      & ( hskp27
        | hskp23
        | hskp5 )
      & ( hskp7
        | hskp23
        | hskp15 )
      & ( hskp17
        | hskp2 )
      & ( hskp17
        | hskp23
        | hskp1 )
      & ( hskp23
        | hskp24
        | hskp5 )
      & ( hskp6
        | hskp5
        | hskp18 )
      & ( hskp29
        | hskp5
        | hskp3 )
      & ( hskp24
        | hskp12
        | hskp10 )
      & ( hskp12
        | hskp25
        | hskp18 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( ~ hskp0
      | ( ndr1_0
        & ( c3_1 @ a2068 )
        & ~ ( c0_1 @ a2068 )
        & ~ ( c2_1 @ a2068 ) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ( c0_1 @ a2070 )
        & ( c3_1 @ a2070 )
        & ~ ( c2_1 @ a2070 ) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ( c0_1 @ a2071 )
        & ( c2_1 @ a2071 )
        & ~ ( c3_1 @ a2071 ) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ~ ( c0_1 @ a2072 )
        & ~ ( c1_1 @ a2072 )
        & ~ ( c3_1 @ a2072 ) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ( c1_1 @ a2074 )
        & ( c3_1 @ a2074 )
        & ~ ( c2_1 @ a2074 ) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ( c1_1 @ a2076 )
        & ( c3_1 @ a2076 )
        & ~ ( c0_1 @ a2076 ) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ( c0_1 @ a2078 )
        & ~ ( c1_1 @ a2078 )
        & ~ ( c2_1 @ a2078 ) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & ( c0_1 @ a2079 )
        & ( c1_1 @ a2079 )
        & ~ ( c3_1 @ a2079 ) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ( c1_1 @ a2082 )
        & ( c2_1 @ a2082 )
        & ~ ( c0_1 @ a2082 ) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ( c2_1 @ a2084 )
        & ( c3_1 @ a2084 )
        & ~ ( c1_1 @ a2084 ) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ( c2_1 @ a2087 )
        & ~ ( c1_1 @ a2087 )
        & ~ ( c3_1 @ a2087 ) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ( c0_1 @ a2093 )
        & ~ ( c1_1 @ a2093 )
        & ~ ( c3_1 @ a2093 ) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ( c1_1 @ a2095 )
        & ~ ( c0_1 @ a2095 )
        & ~ ( c2_1 @ a2095 ) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & ( c2_1 @ a2096 )
        & ~ ( c0_1 @ a2096 )
        & ~ ( c1_1 @ a2096 ) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ~ ( c0_1 @ a2097 )
        & ~ ( c1_1 @ a2097 )
        & ~ ( c2_1 @ a2097 ) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & ( c0_1 @ a2099 )
        & ~ ( c2_1 @ a2099 )
        & ~ ( c3_1 @ a2099 ) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & ( c3_1 @ a2104 )
        & ~ ( c0_1 @ a2104 )
        & ~ ( c1_1 @ a2104 ) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ( c0_1 @ a2110 )
        & ( c2_1 @ a2110 )
        & ~ ( c1_1 @ a2110 ) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ( c1_1 @ a2116 )
        & ~ ( c2_1 @ a2116 )
        & ~ ( c3_1 @ a2116 ) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ( c2_1 @ a2122 )
        & ~ ( c0_1 @ a2122 )
        & ~ ( c3_1 @ a2122 ) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ~ ( c1_1 @ a2130 )
        & ~ ( c2_1 @ a2130 )
        & ~ ( c3_1 @ a2130 ) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & ( c0_1 @ a2136 )
        & ( c1_1 @ a2136 )
        & ~ ( c2_1 @ a2136 ) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ( c2_1 @ a2140 )
        & ( c3_1 @ a2140 )
        & ~ ( c0_1 @ a2140 ) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ( c0_1 @ a2149 )
        & ( c3_1 @ a2149 )
        & ~ ( c1_1 @ a2149 ) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ( c1_1 @ a2160 )
        & ( c2_1 @ a2160 )
        & ~ ( c3_1 @ a2160 ) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ( c1_1 @ a2172 )
        & ~ ( c0_1 @ a2172 )
        & ~ ( c3_1 @ a2172 ) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ( c0_1 @ a2069 )
        & ( c2_1 @ a2069 )
        & ( c3_1 @ a2069 ) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ( c0_1 @ a2073 )
        & ( c1_1 @ a2073 )
        & ( c3_1 @ a2073 ) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & ( c0_1 @ a2075 )
        & ( c1_1 @ a2075 )
        & ( c2_1 @ a2075 ) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & ( c1_1 @ a2077 )
        & ( c2_1 @ a2077 )
        & ( c3_1 @ a2077 ) ) )
    & ( ! [U: $i] :
          ( ndr1_0
         => ( ( c0_1 @ U )
            | ( c1_1 @ U )
            | ( c2_1 @ U ) ) )
      | ! [V: $i] :
          ( ndr1_0
         => ( ( c0_1 @ V )
            | ( c2_1 @ V )
            | ~ ( c1_1 @ V ) ) )
      | ! [W: $i] :
          ( ndr1_0
         => ( ( c1_1 @ W )
            | ( c2_1 @ W )
            | ( c3_1 @ W ) ) ) )
    & ( ! [X: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X )
            | ( c1_1 @ X )
            | ( c2_1 @ X ) ) )
      | ! [Y: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ Y )
            | ~ ( c2_1 @ Y )
            | ~ ( c3_1 @ Y ) ) )
      | hskp0 )
    & ( ! [Z: $i] :
          ( ndr1_0
         => ( ( c0_1 @ Z )
            | ( c1_1 @ Z )
            | ( c2_1 @ Z ) ) )
      | hskp26
      | hskp1 )
    & ( ! [X1: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X1 )
            | ( c1_1 @ X1 )
            | ( c2_1 @ X1 ) ) )
      | hskp2
      | hskp3 )
    & ( ! [X2: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X2 )
            | ( c1_1 @ X2 )
            | ( c3_1 @ X2 ) ) )
      | ! [X3: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X3 )
            | ( c1_1 @ X3 )
            | ~ ( c2_1 @ X3 ) ) )
      | hskp27 )
    & ( ! [X4: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X4 )
            | ( c1_1 @ X4 )
            | ( c3_1 @ X4 ) ) )
      | ! [X5: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X5 )
            | ( c3_1 @ X5 )
            | ~ ( c2_1 @ X5 ) ) )
      | hskp4 )
    & ( ! [X6: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X6 )
            | ( c1_1 @ X6 )
            | ( c3_1 @ X6 ) ) )
      | hskp28
      | hskp5 )
    & ( ! [X7: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X7 )
            | ( c1_1 @ X7 )
            | ~ ( c2_1 @ X7 ) ) )
      | ! [X8: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X8 )
            | ~ ( c2_1 @ X8 )
            | ~ ( c3_1 @ X8 ) ) )
      | ! [X9: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X9 )
            | ~ ( c0_1 @ X9 )
            | ~ ( c2_1 @ X9 ) ) ) )
    & ( ! [X10: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X10 )
            | ( c1_1 @ X10 )
            | ~ ( c2_1 @ X10 ) ) )
      | ! [X11: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X11 )
            | ~ ( c0_1 @ X11 )
            | ~ ( c1_1 @ X11 ) ) )
      | hskp29 )
    & ( ! [X12: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X12 )
            | ( c1_1 @ X12 )
            | ~ ( c3_1 @ X12 ) ) )
      | ! [X13: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X13 )
            | ~ ( c0_1 @ X13 )
            | ~ ( c3_1 @ X13 ) ) )
      | hskp6 )
    & ( ! [X14: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X14 )
            | ( c1_1 @ X14 )
            | ~ ( c3_1 @ X14 ) ) )
      | ! [X15: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X15 )
            | ~ ( c2_1 @ X15 )
            | ~ ( c3_1 @ X15 ) ) )
      | ! [X16: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X16 )
            | ( c3_1 @ X16 )
            | ~ ( c1_1 @ X16 ) ) ) )
    & ( ! [X17: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X17 )
            | ( c1_1 @ X17 )
            | ~ ( c3_1 @ X17 ) ) )
      | ! [X18: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X18 )
            | ~ ( c1_1 @ X18 )
            | ~ ( c3_1 @ X18 ) ) )
      | hskp7 )
    & ( ! [X19: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X19 )
            | ( c2_1 @ X19 )
            | ( c3_1 @ X19 ) ) )
      | ! [X20: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X20 )
            | ( c3_1 @ X20 )
            | ~ ( c2_1 @ X20 ) ) )
      | ! [X21: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X21 )
            | ~ ( c1_1 @ X21 )
            | ~ ( c3_1 @ X21 ) ) ) )
    & ( ! [X22: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X22 )
            | ( c2_1 @ X22 )
            | ( c3_1 @ X22 ) ) )
      | hskp5
      | hskp4 )
    & ( ! [X23: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X23 )
            | ( c2_1 @ X23 )
            | ~ ( c1_1 @ X23 ) ) )
      | ! [X24: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X24 )
            | ( c3_1 @ X24 )
            | ~ ( c2_1 @ X24 ) ) )
      | hskp8 )
    & ( ! [X25: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X25 )
            | ( c2_1 @ X25 )
            | ~ ( c1_1 @ X25 ) ) )
      | ! [X26: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X26 )
            | ~ ( c0_1 @ X26 )
            | ~ ( c3_1 @ X26 ) ) )
      | hskp2 )
    & ( ! [X27: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X27 )
            | ( c2_1 @ X27 )
            | ~ ( c1_1 @ X27 ) ) )
      | ! [X28: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X28 )
            | ~ ( c0_1 @ X28 )
            | ~ ( c1_1 @ X28 ) ) )
      | hskp9 )
    & ( ! [X29: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X29 )
            | ( c2_1 @ X29 )
            | ~ ( c1_1 @ X29 ) ) )
      | ! [X30: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X30 )
            | ~ ( c0_1 @ X30 )
            | ~ ( c3_1 @ X30 ) ) )
      | hskp9 )
    & ( ! [X31: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X31 )
            | ( c2_1 @ X31 )
            | ~ ( c3_1 @ X31 ) ) )
      | ! [X32: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X32 )
            | ( c3_1 @ X32 )
            | ~ ( c1_1 @ X32 ) ) )
      | ! [X33: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X33 )
            | ( c3_1 @ X33 )
            | ~ ( c1_1 @ X33 ) ) ) )
    & ( ! [X34: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X34 )
            | ( c2_1 @ X34 )
            | ~ ( c3_1 @ X34 ) ) )
      | ! [X35: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X35 )
            | ( c2_1 @ X35 )
            | ~ ( c3_1 @ X35 ) ) )
      | hskp4 )
    & ( ! [X36: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X36 )
            | ( c2_1 @ X36 )
            | ~ ( c3_1 @ X36 ) ) )
      | ! [X37: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X37 )
            | ~ ( c2_1 @ X37 )
            | ~ ( c3_1 @ X37 ) ) )
      | hskp10 )
    & ( ! [X38: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X38 )
            | ( c2_1 @ X38 )
            | ~ ( c3_1 @ X38 ) ) )
      | hskp27
      | hskp7 )
    & ( ! [X39: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X39 )
            | ( c3_1 @ X39 )
            | ~ ( c1_1 @ X39 ) ) )
      | ! [X40: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X40 )
            | ~ ( c2_1 @ X40 )
            | ~ ( c3_1 @ X40 ) ) )
      | hskp4 )
    & ( ! [X41: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X41 )
            | ( c3_1 @ X41 )
            | ~ ( c1_1 @ X41 ) ) )
      | ! [X42: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X42 )
            | ~ ( c2_1 @ X42 )
            | ~ ( c3_1 @ X42 ) ) )
      | hskp8 )
    & ( ! [X43: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X43 )
            | ( c3_1 @ X43 )
            | ~ ( c2_1 @ X43 ) ) )
      | ! [X44: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X44 )
            | ~ ( c1_1 @ X44 )
            | ~ ( c2_1 @ X44 ) ) )
      | hskp1 )
    & ( ! [X45: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X45 )
            | ( c3_1 @ X45 )
            | ~ ( c2_1 @ X45 ) ) )
      | ! [X46: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X46 )
            | ( c2_1 @ X46 )
            | ~ ( c0_1 @ X46 ) ) )
      | hskp11 )
    & ( ! [X47: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X47 )
            | ( c3_1 @ X47 )
            | ~ ( c2_1 @ X47 ) ) )
      | ! [X48: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X48 )
            | ~ ( c2_1 @ X48 )
            | ~ ( c3_1 @ X48 ) ) )
      | hskp10 )
    & ( ! [X49: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X49 )
            | ( c3_1 @ X49 )
            | ~ ( c2_1 @ X49 ) ) )
      | ! [X50: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X50 )
            | ~ ( c0_1 @ X50 )
            | ~ ( c3_1 @ X50 ) ) )
      | ! [X51: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X51 )
            | ~ ( c1_1 @ X51 )
            | ~ ( c3_1 @ X51 ) ) ) )
    & ( ! [X52: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X52 )
            | ( c3_1 @ X52 )
            | ~ ( c2_1 @ X52 ) ) )
      | hskp12
      | hskp13 )
    & ( ! [X53: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X53 )
            | ~ ( c1_1 @ X53 )
            | ~ ( c2_1 @ X53 ) ) )
      | ! [X54: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X54 )
            | ( c2_1 @ X54 )
            | ( c3_1 @ X54 ) ) )
      | hskp14 )
    & ( ! [X55: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X55 )
            | ~ ( c1_1 @ X55 )
            | ~ ( c2_1 @ X55 ) ) )
      | ! [X56: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X56 )
            | ( c3_1 @ X56 )
            | ~ ( c2_1 @ X56 ) ) )
      | hskp11 )
    & ( ! [X57: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X57 )
            | ~ ( c1_1 @ X57 )
            | ~ ( c3_1 @ X57 ) ) )
      | ! [X58: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X58 )
            | ( c2_1 @ X58 )
            | ~ ( c3_1 @ X58 ) ) )
      | hskp15 )
    & ( ! [X59: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X59 )
            | ~ ( c1_1 @ X59 )
            | ~ ( c3_1 @ X59 ) ) )
      | ! [X60: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X60 )
            | ~ ( c0_1 @ X60 )
            | ~ ( c3_1 @ X60 ) ) )
      | ! [X61: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X61 )
            | ~ ( c0_1 @ X61 )
            | ~ ( c1_1 @ X61 ) ) ) )
    & ( ! [X62: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X62 )
            | ~ ( c1_1 @ X62 )
            | ~ ( c3_1 @ X62 ) ) )
      | hskp28
      | hskp4 )
    & ( ! [X63: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X63 )
            | ~ ( c1_1 @ X63 )
            | ~ ( c3_1 @ X63 ) ) )
      | hskp0 )
    & ( ! [X64: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X64 )
            | ~ ( c2_1 @ X64 )
            | ~ ( c3_1 @ X64 ) ) )
      | ! [X65: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X65 )
            | ~ ( c2_1 @ X65 )
            | ~ ( c3_1 @ X65 ) ) )
      | hskp27 )
    & ( ! [X66: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X66 )
            | ~ ( c2_1 @ X66 )
            | ~ ( c3_1 @ X66 ) ) )
      | ! [X67: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X67 )
            | ( c3_1 @ X67 )
            | ~ ( c0_1 @ X67 ) ) )
      | hskp16 )
    & ( ! [X68: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X68 )
            | ~ ( c2_1 @ X68 )
            | ~ ( c3_1 @ X68 ) ) )
      | ! [X69: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X69 )
            | ~ ( c1_1 @ X69 )
            | ~ ( c2_1 @ X69 ) ) )
      | hskp26 )
    & ( ! [X70: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X70 )
            | ~ ( c2_1 @ X70 )
            | ~ ( c3_1 @ X70 ) ) )
      | hskp27
      | hskp29 )
    & ( ! [X71: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X71 )
            | ~ ( c2_1 @ X71 )
            | ~ ( c3_1 @ X71 ) ) )
      | hskp11
      | hskp0 )
    & ( ! [X72: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X72 )
            | ( c2_1 @ X72 )
            | ( c3_1 @ X72 ) ) )
      | hskp17
      | hskp1 )
    & ( ! [X73: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X73 )
            | ( c2_1 @ X73 )
            | ~ ( c0_1 @ X73 ) ) )
      | ! [X74: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X74 )
            | ~ ( c2_1 @ X74 )
            | ~ ( c3_1 @ X74 ) ) )
      | hskp26 )
    & ( ! [X75: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X75 )
            | ( c2_1 @ X75 )
            | ~ ( c3_1 @ X75 ) ) )
      | ! [X76: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X76 )
            | ~ ( c0_1 @ X76 )
            | ~ ( c2_1 @ X76 ) ) )
      | hskp16 )
    & ( ! [X77: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X77 )
            | ( c2_1 @ X77 )
            | ~ ( c3_1 @ X77 ) ) )
      | ! [X78: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X78 )
            | ~ ( c2_1 @ X78 )
            | ~ ( c3_1 @ X78 ) ) )
      | hskp8 )
    & ( ! [X79: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X79 )
            | ( c2_1 @ X79 )
            | ~ ( c3_1 @ X79 ) ) )
      | hskp26
      | hskp18 )
    & ( ! [X80: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X80 )
            | ( c3_1 @ X80 )
            | ~ ( c0_1 @ X80 ) ) )
      | ! [X81: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X81 )
            | ~ ( c2_1 @ X81 )
            | ~ ( c3_1 @ X81 ) ) )
      | hskp26 )
    & ( ! [X82: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X82 )
            | ( c3_1 @ X82 )
            | ~ ( c0_1 @ X82 ) ) )
      | ! [X83: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X83 )
            | ~ ( c1_1 @ X83 )
            | ~ ( c3_1 @ X83 ) ) )
      | hskp3 )
    & ( ! [X84: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X84 )
            | ( c3_1 @ X84 )
            | ~ ( c0_1 @ X84 ) ) )
      | ! [X85: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X85 )
            | ~ ( c1_1 @ X85 )
            | ~ ( c3_1 @ X85 ) ) )
      | ! [X86: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X86 )
            | ~ ( c2_1 @ X86 )
            | ~ ( c3_1 @ X86 ) ) ) )
    & ( ! [X87: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X87 )
            | ( c3_1 @ X87 )
            | ~ ( c0_1 @ X87 ) ) )
      | hskp1
      | hskp8 )
    & ( ! [X88: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X88 )
            | ( c3_1 @ X88 )
            | ~ ( c0_1 @ X88 ) ) )
      | hskp11
      | hskp19 )
    & ( ! [X89: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X89 )
            | ~ ( c0_1 @ X89 )
            | ~ ( c3_1 @ X89 ) ) )
      | ! [X90: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X90 )
            | ( c3_1 @ X90 )
            | ~ ( c1_1 @ X90 ) ) )
      | hskp17 )
    & ( ! [X91: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X91 )
            | ~ ( c0_1 @ X91 )
            | ~ ( c3_1 @ X91 ) ) )
      | ! [X92: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X92 )
            | ( c3_1 @ X92 )
            | ~ ( c1_1 @ X92 ) ) )
      | hskp8 )
    & ( ! [X93: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X93 )
            | ~ ( c0_1 @ X93 )
            | ~ ( c3_1 @ X93 ) ) )
      | hskp26
      | hskp5 )
    & ( ! [X94: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X94 )
            | ~ ( c0_1 @ X94 )
            | ~ ( c3_1 @ X94 ) ) )
      | hskp11
      | hskp10 )
    & ( ! [X95: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X95 )
            | ~ ( c2_1 @ X95 )
            | ~ ( c3_1 @ X95 ) ) )
      | ! [X96: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X96 )
            | ~ ( c0_1 @ X96 )
            | ~ ( c3_1 @ X96 ) ) )
      | hskp3 )
    & ( ! [X97: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X97 )
            | ~ ( c2_1 @ X97 )
            | ~ ( c3_1 @ X97 ) ) )
      | ! [X98: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X98 )
            | ~ ( c1_1 @ X98 )
            | ~ ( c2_1 @ X98 ) ) )
      | hskp20 )
    & ( ! [X99: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X99 )
            | ~ ( c2_1 @ X99 )
            | ~ ( c3_1 @ X99 ) ) )
      | hskp7
      | hskp15 )
    & ( ! [X100: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X100 )
            | ( c3_1 @ X100 )
            | ~ ( c0_1 @ X100 ) ) )
      | ! [X101: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X101 )
            | ~ ( c1_1 @ X101 )
            | ~ ( c2_1 @ X101 ) ) )
      | hskp11 )
    & ( ! [X102: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X102 )
            | ~ ( c0_1 @ X102 )
            | ~ ( c1_1 @ X102 ) ) )
      | ! [X103: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X103 )
            | ~ ( c1_1 @ X103 )
            | ~ ( c3_1 @ X103 ) ) )
      | hskp5 )
    & ( ! [X104: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X104 )
            | ~ ( c0_1 @ X104 )
            | ~ ( c1_1 @ X104 ) ) )
      | ! [X105: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X105 )
            | ~ ( c1_1 @ X105 )
            | ~ ( c2_1 @ X105 ) ) )
      | hskp12 )
    & ( ! [X106: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X106 )
            | ~ ( c0_1 @ X106 )
            | ~ ( c1_1 @ X106 ) ) )
      | hskp21
      | hskp16 )
    & ( ! [X107: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X107 )
            | ~ ( c0_1 @ X107 )
            | ~ ( c1_1 @ X107 ) ) )
      | hskp17
      | hskp20 )
    & ( ! [X108: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X108 )
            | ~ ( c0_1 @ X108 )
            | ~ ( c1_1 @ X108 ) ) )
      | hskp22 )
    & ( ! [X109: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X109 )
            | ~ ( c0_1 @ X109 )
            | ~ ( c3_1 @ X109 ) ) )
      | ! [X110: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X110 )
            | ~ ( c0_1 @ X110 )
            | ~ ( c2_1 @ X110 ) ) )
      | hskp4 )
    & ( ! [X111: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X111 )
            | ~ ( c0_1 @ X111 )
            | ~ ( c3_1 @ X111 ) ) )
      | hskp7
      | hskp16 )
    & ( ! [X112: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X112 )
            | ~ ( c1_1 @ X112 )
            | ~ ( c2_1 @ X112 ) ) )
      | hskp7
      | hskp4 )
    & ( ! [X113: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X113 )
            | ~ ( c1_1 @ X113 )
            | ~ ( c3_1 @ X113 ) ) )
      | hskp17
      | hskp22 )
    & ( hskp27
      | hskp23
      | hskp5 )
    & ( hskp7
      | hskp23
      | hskp15 )
    & ( hskp17
      | hskp2 )
    & ( hskp17
      | hskp23
      | hskp1 )
    & ( hskp23
      | hskp24
      | hskp5 )
    & ( hskp6
      | hskp5
      | hskp18 )
    & ( hskp29
      | hskp5
      | hskp3 )
    & ( hskp24
      | hskp12
      | hskp10 )
    & ( hskp12
      | hskp25
      | hskp18 ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl18,plain,
    ! [X12: $i,X13: $i] :
      ( ( c2_1 @ X12 )
      | ( c3_1 @ X12 )
      | ~ ( c0_1 @ X12 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X13 )
      | ~ ( c1_1 @ X13 )
      | ~ ( c2_1 @ X13 )
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('0',plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c0_1 @ X12 ) )
    | ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c2_1 @ X1 ) )
    | hskp11
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl16,plain,
    ! [X8: $i,X9: $i] :
      ( ( c2_1 @ X8 )
      | ~ ( c0_1 @ X8 )
      | ~ ( c1_1 @ X8 )
      | ~ ndr1_0
      | ( c3_1 @ X9 )
      | ~ ( c1_1 @ X9 )
      | ~ ( c2_1 @ X9 )
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('1',plain,
    ( ! [X9: $i] :
        ( ( c3_1 @ X9 )
        | ~ ( c1_1 @ X9 )
        | ~ ( c2_1 @ X9 ) )
    | hskp12
    | ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl77,plain,
    ( ~ hskp29
    | ( c1_1 @ a2077 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl490,plain,
    ( ( c1_1 @ a2077 )
   <= ( c1_1 @ a2077 ) ),
    inference(split,[status(esa)],[zip_derived_cl77]) ).

thf(zip_derived_cl10,plain,
    ! [X1: $i] :
      ( ~ ( c0_1 @ X1 )
      | ~ ( c1_1 @ X1 )
      | ~ ( c2_1 @ X1 )
      | ~ ndr1_0
      | hskp7
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl226,plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c2_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c2_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl1208,plain,
    ( ( ~ ( c0_1 @ a2077 )
      | ~ ( c2_1 @ a2077 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c2_1 @ X1 ) )
      & ( c1_1 @ a2077 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl490,zip_derived_cl226]) ).

thf('2',plain,
    ( ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c2_1 @ X1 ) )
    | ~ ( c0_1 @ a2077 )
    | ~ ( c2_1 @ a2077 )
    | ~ ( c1_1 @ a2077 ) ),
    inference(split,[status(esa)],[zip_derived_cl1208]) ).

thf('3',plain,
    ( ( c1_1 @ a2077 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl77]) ).

thf(zip_derived_cl78,plain,
    ( ~ hskp29
    | ( c2_1 @ a2077 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('4',plain,
    ( ( c2_1 @ a2077 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl78]) ).

thf(zip_derived_cl67,plain,
    ! [X102: $i,X103: $i] :
      ( ( c0_1 @ X102 )
      | ( c1_1 @ X102 )
      | ~ ( c2_1 @ X102 )
      | ~ ndr1_0
      | ( c2_1 @ X103 )
      | ~ ( c0_1 @ X103 )
      | ~ ( c1_1 @ X103 )
      | ~ ndr1_0
      | hskp29 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('5',plain,
    ( hskp29
    | ! [X102: $i] :
        ( ( c0_1 @ X102 )
        | ( c1_1 @ X102 )
        | ~ ( c2_1 @ X102 ) )
    | ~ ndr1_0
    | ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl67]) ).

thf(zip_derived_cl490_001,plain,
    ( ( c1_1 @ a2077 )
   <= ( c1_1 @ a2077 ) ),
    inference(split,[status(esa)],[zip_derived_cl77]) ).

thf(zip_derived_cl45,plain,
    ! [X57: $i,X58: $i] :
      ( ( c0_1 @ X57 )
      | ~ ( c1_1 @ X57 )
      | ~ ( c2_1 @ X57 )
      | ~ ndr1_0
      | ( c1_1 @ X58 )
      | ( c3_1 @ X58 )
      | ~ ( c2_1 @ X58 )
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl365,plain,
    ( ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ~ ( c1_1 @ X57 )
        | ~ ( c2_1 @ X57 ) )
   <= ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ~ ( c1_1 @ X57 )
        | ~ ( c2_1 @ X57 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl1700,plain,
    ( ( ( c0_1 @ a2077 )
      | ~ ( c2_1 @ a2077 ) )
   <= ( ! [X57: $i] :
          ( ( c0_1 @ X57 )
          | ~ ( c1_1 @ X57 )
          | ~ ( c2_1 @ X57 ) )
      & ( c1_1 @ a2077 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl490,zip_derived_cl365]) ).

thf('6',plain,
    ( ( c0_1 @ a2077 )
    | ~ ( c1_1 @ a2077 )
    | ~ ! [X57: $i] :
          ( ( c0_1 @ X57 )
          | ~ ( c1_1 @ X57 )
          | ~ ( c2_1 @ X57 ) )
    | ~ ( c2_1 @ a2077 ) ),
    inference(split,[status(esa)],[zip_derived_cl1700]) ).

thf(zip_derived_cl86,plain,
    ( ~ hskp27
    | ( c1_1 @ a2073 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl508,plain,
    ( ( c1_1 @ a2073 )
   <= ( c1_1 @ a2073 ) ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf(zip_derived_cl17,plain,
    ! [X10: $i,X11: $i] :
      ( ( c2_1 @ X10 )
      | ~ ( c0_1 @ X10 )
      | ~ ( c1_1 @ X10 )
      | ~ ndr1_0
      | ( c2_1 @ X11 )
      | ~ ( c1_1 @ X11 )
      | ~ ( c3_1 @ X11 )
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl253,plain,
    ( ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c3_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c3_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl1307,plain,
    ( ( ( c2_1 @ a2073 )
      | ~ ( c3_1 @ a2073 ) )
   <= ( ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c1_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
      & ( c1_1 @ a2073 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl508,zip_derived_cl253]) ).

thf('7',plain,
    ( ( c2_1 @ a2073 )
    | ~ ( c1_1 @ a2073 )
    | ~ ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c1_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
    | ~ ( c3_1 @ a2073 ) ),
    inference(split,[status(esa)],[zip_derived_cl1307]) ).

thf(zip_derived_cl36,plain,
    ! [X42: $i] :
      ( ( c0_1 @ X42 )
      | ~ ( c2_1 @ X42 )
      | ~ ( c3_1 @ X42 )
      | ~ ndr1_0
      | hskp11
      | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('8',plain,
    ( hskp0
    | hskp11
    | ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c2_1 @ X42 )
        | ~ ( c3_1 @ X42 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl178,plain,
    ( ~ hskp4
    | ( c3_1 @ a2074 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl692,plain,
    ( ( c3_1 @ a2074 )
   <= ( c3_1 @ a2074 ) ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl11,plain,
    ! [X2: $i] :
      ( ( c2_1 @ X2 )
      | ~ ( c0_1 @ X2 )
      | ~ ( c3_1 @ X2 )
      | ~ ndr1_0
      | hskp7
      | hskp16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl230,plain,
    ( ! [X2: $i] :
        ( ( c2_1 @ X2 )
        | ~ ( c0_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ( c2_1 @ X2 )
        | ~ ( c0_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl1600,plain,
    ( ( ( c2_1 @ a2074 )
      | ~ ( c0_1 @ a2074 ) )
   <= ( ! [X2: $i] :
          ( ( c2_1 @ X2 )
          | ~ ( c0_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ( c3_1 @ a2074 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl692,zip_derived_cl230]) ).

thf('9',plain,
    ( ~ ( c0_1 @ a2074 )
    | ( c2_1 @ a2074 )
    | ~ ! [X2: $i] :
          ( ( c2_1 @ X2 )
          | ~ ( c0_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ~ ( c3_1 @ a2074 ) ),
    inference(split,[status(esa)],[zip_derived_cl1600]) ).

thf(zip_derived_cl49,plain,
    ! [X65: $i,X66: $i] :
      ( ( c0_1 @ X65 )
      | ( c3_1 @ X65 )
      | ~ ( c2_1 @ X65 )
      | ~ ndr1_0
      | ( c1_1 @ X66 )
      | ~ ( c2_1 @ X66 )
      | ~ ( c3_1 @ X66 )
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('10',plain,
    ( hskp10
    | ! [X14: $i] :
        ( ( c1_1 @ X14 )
        | ~ ( c2_1 @ X14 )
        | ~ ( c3_1 @ X14 ) )
    | ! [X61: $i] :
        ( ( c0_1 @ X61 )
        | ( c3_1 @ X61 )
        | ~ ( c2_1 @ X61 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl19,plain,
    ! [X14: $i] :
      ( ( c1_1 @ X14 )
      | ~ ( c2_1 @ X14 )
      | ~ ( c3_1 @ X14 )
      | ~ ndr1_0
      | hskp7
      | hskp15 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl261,plain,
    ( ! [X14: $i] :
        ( ( c1_1 @ X14 )
        | ~ ( c2_1 @ X14 )
        | ~ ( c3_1 @ X14 ) )
   <= ! [X14: $i] :
        ( ( c1_1 @ X14 )
        | ~ ( c2_1 @ X14 )
        | ~ ( c3_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl127,plain,
    ( ~ hskp17
    | ~ ( c1_1 @ a2110 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl590,plain,
    ( ~ ( c1_1 @ a2110 )
   <= ~ ( c1_1 @ a2110 ) ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl891,plain,
    ( ( ~ ( c3_1 @ a2110 )
      | ~ ( c2_1 @ a2110 ) )
   <= ( ~ ( c1_1 @ a2110 )
      & ! [X14: $i] :
          ( ( c1_1 @ X14 )
          | ~ ( c2_1 @ X14 )
          | ~ ( c3_1 @ X14 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl261,zip_derived_cl590]) ).

thf('11',plain,
    ( ~ ! [X14: $i] :
          ( ( c1_1 @ X14 )
          | ~ ( c2_1 @ X14 )
          | ~ ( c3_1 @ X14 ) )
    | ~ ( c3_1 @ a2110 )
    | ~ ( c2_1 @ a2110 )
    | ( c1_1 @ a2110 ) ),
    inference(split,[status(esa)],[zip_derived_cl891]) ).

thf(zip_derived_cl68,plain,
    ! [X104: $i,X105: $i,X106: $i] :
      ( ( c0_1 @ X104 )
      | ( c1_1 @ X104 )
      | ~ ( c2_1 @ X104 )
      | ~ ndr1_0
      | ( c0_1 @ X105 )
      | ~ ( c2_1 @ X105 )
      | ~ ( c3_1 @ X105 )
      | ~ ndr1_0
      | ( c1_1 @ X106 )
      | ~ ( c0_1 @ X106 )
      | ~ ( c2_1 @ X106 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('12',plain,
    ( ! [X106: $i] :
        ( ( c1_1 @ X106 )
        | ~ ( c0_1 @ X106 )
        | ~ ( c2_1 @ X106 ) )
    | ! [X102: $i] :
        ( ( c0_1 @ X102 )
        | ( c1_1 @ X102 )
        | ~ ( c2_1 @ X102 ) )
    | ~ ndr1_0
    | ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c2_1 @ X42 )
        | ~ ( c3_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl68]) ).

thf('13',plain,
    ( ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ~ ( c1_1 @ X57 )
        | ~ ( c2_1 @ X57 ) )
    | ! [X58: $i] :
        ( ( c1_1 @ X58 )
        | ( c3_1 @ X58 )
        | ~ ( c2_1 @ X58 ) )
    | hskp11
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl177,plain,
    ( ~ hskp4
    | ( c1_1 @ a2074 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl690,plain,
    ( ( c1_1 @ a2074 )
   <= ( c1_1 @ a2074 ) ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf(zip_derived_cl41,plain,
    ! [X50: $i] :
      ( ( c0_1 @ X50 )
      | ~ ( c1_1 @ X50 )
      | ~ ( c3_1 @ X50 )
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl349,plain,
    ( ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c1_1 @ X50 )
        | ~ ( c3_1 @ X50 ) )
   <= ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c1_1 @ X50 )
        | ~ ( c3_1 @ X50 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl1657,plain,
    ( ( ( c0_1 @ a2074 )
      | ~ ( c3_1 @ a2074 ) )
   <= ( ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ~ ( c1_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
      & ( c1_1 @ a2074 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl690,zip_derived_cl349]) ).

thf('14',plain,
    ( ( c0_1 @ a2074 )
    | ~ ( c1_1 @ a2074 )
    | ~ ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ~ ( c1_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
    | ~ ( c3_1 @ a2074 ) ),
    inference(split,[status(esa)],[zip_derived_cl1657]) ).

thf(zip_derived_cl26,plain,
    ! [X25: $i] :
      ( ( c1_1 @ X25 )
      | ( c3_1 @ X25 )
      | ~ ( c0_1 @ X25 )
      | ~ ndr1_0
      | hskp11
      | hskp19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl289,plain,
    ( ! [X25: $i] :
        ( ( c1_1 @ X25 )
        | ( c3_1 @ X25 )
        | ~ ( c0_1 @ X25 ) )
   <= ! [X25: $i] :
        ( ( c1_1 @ X25 )
        | ( c3_1 @ X25 )
        | ~ ( c0_1 @ X25 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl170,plain,
    ( ~ hskp6
    | ~ ( c1_1 @ a2078 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl676,plain,
    ( ~ ( c1_1 @ a2078 )
   <= ~ ( c1_1 @ a2078 ) ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl1097,plain,
    ( ( ~ ( c0_1 @ a2078 )
      | ( c3_1 @ a2078 ) )
   <= ( ~ ( c1_1 @ a2078 )
      & ! [X25: $i] :
          ( ( c1_1 @ X25 )
          | ( c3_1 @ X25 )
          | ~ ( c0_1 @ X25 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl289,zip_derived_cl676]) ).

thf(zip_derived_cl2882,plain,
    ( ( c3_1 @ a2078 )
   <= ( c3_1 @ a2078 ) ),
    inference(split,[status(esa)],[zip_derived_cl1097]) ).

thf(zip_derived_cl230_002,plain,
    ( ! [X2: $i] :
        ( ( c2_1 @ X2 )
        | ~ ( c0_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ( c2_1 @ X2 )
        | ~ ( c0_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl2894,plain,
    ( ( ( c2_1 @ a2078 )
      | ~ ( c0_1 @ a2078 ) )
   <= ( ! [X2: $i] :
          ( ( c2_1 @ X2 )
          | ~ ( c0_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ( c3_1 @ a2078 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2882,zip_derived_cl230]) ).

thf('15',plain,
    ( ~ ( c3_1 @ a2078 )
    | ( c2_1 @ a2078 )
    | ~ ! [X2: $i] :
          ( ( c2_1 @ X2 )
          | ~ ( c0_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ~ ( c0_1 @ a2078 ) ),
    inference(split,[status(esa)],[zip_derived_cl2894]) ).

thf(zip_derived_cl167,plain,
    ( ~ hskp7
    | ~ ( c3_1 @ a2079 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl670,plain,
    ( ~ ( c3_1 @ a2079 )
   <= ~ ( c3_1 @ a2079 ) ),
    inference(split,[status(esa)],[zip_derived_cl167]) ).

thf(zip_derived_cl12,plain,
    ! [X3: $i,X4: $i] :
      ( ( c2_1 @ X3 )
      | ~ ( c0_1 @ X3 )
      | ~ ( c3_1 @ X3 )
      | ~ ndr1_0
      | ( c3_1 @ X4 )
      | ~ ( c0_1 @ X4 )
      | ~ ( c2_1 @ X4 )
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl234,plain,
    ( ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl818,plain,
    ( ( ~ ( c0_1 @ a2079 )
      | ~ ( c2_1 @ a2079 ) )
   <= ( ~ ( c3_1 @ a2079 )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c2_1 @ X4 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl670,zip_derived_cl234]) ).

thf('16',plain,
    ( ~ ( c2_1 @ a2079 )
    | ~ ( c0_1 @ a2079 )
    | ~ ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
    | ( c3_1 @ a2079 ) ),
    inference(split,[status(esa)],[zip_derived_cl818]) ).

thf('17',plain,
    ( ( c3_1 @ a2078 )
    | ( c1_1 @ a2078 )
    | ~ ! [X25: $i] :
          ( ( c1_1 @ X25 )
          | ( c3_1 @ X25 )
          | ~ ( c0_1 @ X25 ) )
    | ~ ( c0_1 @ a2078 ) ),
    inference(split,[status(esa)],[zip_derived_cl1097]) ).

thf(zip_derived_cl261_003,plain,
    ( ! [X14: $i] :
        ( ( c1_1 @ X14 )
        | ~ ( c2_1 @ X14 )
        | ~ ( c3_1 @ X14 ) )
   <= ! [X14: $i] :
        ( ( c1_1 @ X14 )
        | ~ ( c2_1 @ X14 )
        | ~ ( c3_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl131,plain,
    ( ~ hskp16
    | ~ ( c1_1 @ a2104 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl598,plain,
    ( ~ ( c1_1 @ a2104 )
   <= ~ ( c1_1 @ a2104 ) ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf(zip_derived_cl890,plain,
    ( ( ~ ( c3_1 @ a2104 )
      | ~ ( c2_1 @ a2104 ) )
   <= ( ~ ( c1_1 @ a2104 )
      & ! [X14: $i] :
          ( ( c1_1 @ X14 )
          | ~ ( c2_1 @ X14 )
          | ~ ( c3_1 @ X14 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl261,zip_derived_cl598]) ).

thf('18',plain,
    ( ~ ( c2_1 @ a2104 )
    | ( c1_1 @ a2104 )
    | ~ ! [X14: $i] :
          ( ( c1_1 @ X14 )
          | ~ ( c2_1 @ X14 )
          | ~ ( c3_1 @ X14 ) )
    | ~ ( c3_1 @ a2104 ) ),
    inference(split,[status(esa)],[zip_derived_cl890]) ).

thf(zip_derived_cl129,plain,
    ( ~ hskp16
    | ( c3_1 @ a2104 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl594,plain,
    ( ( c3_1 @ a2104 )
   <= ( c3_1 @ a2104 ) ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf(zip_derived_cl329,plain,
    ( ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c2_1 @ X42 )
        | ~ ( c3_1 @ X42 ) )
   <= ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c2_1 @ X42 )
        | ~ ( c3_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl1520,plain,
    ( ( ( c0_1 @ a2104 )
      | ~ ( c2_1 @ a2104 ) )
   <= ( ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ~ ( c2_1 @ X42 )
          | ~ ( c3_1 @ X42 ) )
      & ( c3_1 @ a2104 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl594,zip_derived_cl329]) ).

thf('19',plain,
    ( ~ ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ~ ( c2_1 @ X42 )
          | ~ ( c3_1 @ X42 ) )
    | ~ ( c2_1 @ a2104 )
    | ( c0_1 @ a2104 )
    | ~ ( c3_1 @ a2104 ) ),
    inference(split,[status(esa)],[zip_derived_cl1520]) ).

thf(zip_derived_cl594_004,plain,
    ( ( c3_1 @ a2104 )
   <= ( c3_1 @ a2104 ) ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf(zip_derived_cl54,plain,
    ! [X75: $i] :
      ( ( c0_1 @ X75 )
      | ( c2_1 @ X75 )
      | ~ ( c3_1 @ X75 )
      | ~ ndr1_0
      | hskp27
      | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl400,plain,
    ( ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c2_1 @ X75 )
        | ~ ( c3_1 @ X75 ) )
   <= ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c2_1 @ X75 )
        | ~ ( c3_1 @ X75 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf(zip_derived_cl1883,plain,
    ( ( ( c0_1 @ a2104 )
      | ( c2_1 @ a2104 ) )
   <= ( ! [X75: $i] :
          ( ( c0_1 @ X75 )
          | ( c2_1 @ X75 )
          | ~ ( c3_1 @ X75 ) )
      & ( c3_1 @ a2104 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl594,zip_derived_cl400]) ).

thf('20',plain,
    ( ( c2_1 @ a2104 )
    | ~ ( c3_1 @ a2104 )
    | ~ ! [X75: $i] :
          ( ( c0_1 @ X75 )
          | ( c2_1 @ X75 )
          | ~ ( c3_1 @ X75 ) )
    | ( c0_1 @ a2104 ) ),
    inference(split,[status(esa)],[zip_derived_cl1883]) ).

thf(zip_derived_cl50,plain,
    ! [X67: $i,X68: $i] :
      ( ( c0_1 @ X67 )
      | ( c3_1 @ X67 )
      | ~ ( c2_1 @ X67 )
      | ~ ndr1_0
      | ( c1_1 @ X68 )
      | ( c2_1 @ X68 )
      | ~ ( c0_1 @ X68 )
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('21',plain,
    ( ! [X39: $i] :
        ( ( c1_1 @ X39 )
        | ( c2_1 @ X39 )
        | ~ ( c0_1 @ X39 ) )
    | hskp11
    | ! [X61: $i] :
        ( ( c0_1 @ X61 )
        | ( c3_1 @ X61 )
        | ~ ( c2_1 @ X61 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl34,plain,
    ! [X39: $i,X40: $i] :
      ( ( c1_1 @ X39 )
      | ( c2_1 @ X39 )
      | ~ ( c0_1 @ X39 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X40 )
      | ~ ( c2_1 @ X40 )
      | ~ ( c3_1 @ X40 )
      | ~ ndr1_0
      | hskp26 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl322,plain,
    ( ! [X39: $i] :
        ( ( c1_1 @ X39 )
        | ( c2_1 @ X39 )
        | ~ ( c0_1 @ X39 ) )
   <= ! [X39: $i] :
        ( ( c1_1 @ X39 )
        | ( c2_1 @ X39 )
        | ~ ( c0_1 @ X39 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl676_005,plain,
    ( ~ ( c1_1 @ a2078 )
   <= ~ ( c1_1 @ a2078 ) ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl1397,plain,
    ( ( ~ ( c0_1 @ a2078 )
      | ( c2_1 @ a2078 ) )
   <= ( ~ ( c1_1 @ a2078 )
      & ! [X39: $i] :
          ( ( c1_1 @ X39 )
          | ( c2_1 @ X39 )
          | ~ ( c0_1 @ X39 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl322,zip_derived_cl676]) ).

thf('22',plain,
    ( ( c1_1 @ a2078 )
    | ~ ( c0_1 @ a2078 )
    | ~ ! [X39: $i] :
          ( ( c1_1 @ X39 )
          | ( c2_1 @ X39 )
          | ~ ( c0_1 @ X39 ) )
    | ( c2_1 @ a2078 ) ),
    inference(split,[status(esa)],[zip_derived_cl1397]) ).

thf(zip_derived_cl169,plain,
    ( ~ hskp6
    | ( c0_1 @ a2078 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('23',plain,
    ( ( c0_1 @ a2078 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl169]) ).

thf('24',plain,
    ( ~ ( c1_1 @ a2078 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl171,plain,
    ( ~ hskp6
    | ~ ( c2_1 @ a2078 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('25',plain,
    ( ~ ( c2_1 @ a2078 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl171]) ).

thf(zip_derived_cl3,plain,
    ( hskp6
    | hskp5
    | hskp18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('26',plain,
    ( hskp18
    | hskp5
    | hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl53,plain,
    ! [X73: $i,X74: $i] :
      ( ( c0_1 @ X73 )
      | ( c3_1 @ X73 )
      | ~ ( c1_1 @ X73 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X74 )
      | ~ ( c2_1 @ X74 )
      | ~ ( c3_1 @ X74 )
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('27',plain,
    ( ! [X71: $i] :
        ( ( c0_1 @ X71 )
        | ( c3_1 @ X71 )
        | ~ ( c1_1 @ X71 ) )
    | hskp4
    | ! [X29: $i] :
        ( ~ ( c0_1 @ X29 )
        | ~ ( c2_1 @ X29 )
        | ~ ( c3_1 @ X29 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(zip_derived_cl161,plain,
    ( ~ hskp8
    | ( c1_1 @ a2082 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl658,plain,
    ( ( c1_1 @ a2082 )
   <= ( c1_1 @ a2082 ) ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl52,plain,
    ! [X71: $i,X72: $i] :
      ( ( c0_1 @ X71 )
      | ( c3_1 @ X71 )
      | ~ ( c1_1 @ X71 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X72 )
      | ~ ( c2_1 @ X72 )
      | ~ ( c3_1 @ X72 )
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl393,plain,
    ( ! [X71: $i] :
        ( ( c0_1 @ X71 )
        | ( c3_1 @ X71 )
        | ~ ( c1_1 @ X71 ) )
   <= ! [X71: $i] :
        ( ( c0_1 @ X71 )
        | ( c3_1 @ X71 )
        | ~ ( c1_1 @ X71 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl1857,plain,
    ( ( ( c0_1 @ a2082 )
      | ( c3_1 @ a2082 ) )
   <= ( ! [X71: $i] :
          ( ( c0_1 @ X71 )
          | ( c3_1 @ X71 )
          | ~ ( c1_1 @ X71 ) )
      & ( c1_1 @ a2082 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl658,zip_derived_cl393]) ).

thf('28',plain,
    ( ( c3_1 @ a2082 )
    | ( c0_1 @ a2082 )
    | ~ ! [X71: $i] :
          ( ( c0_1 @ X71 )
          | ( c3_1 @ X71 )
          | ~ ( c1_1 @ X71 ) )
    | ~ ( c1_1 @ a2082 ) ),
    inference(split,[status(esa)],[zip_derived_cl1857]) ).

thf(zip_derived_cl508_006,plain,
    ( ( c1_1 @ a2073 )
   <= ( c1_1 @ a2073 ) ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf(zip_derived_cl226_007,plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c2_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c2_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl1304,plain,
    ( ( ~ ( c0_1 @ a2073 )
      | ~ ( c2_1 @ a2073 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c2_1 @ X1 ) )
      & ( c1_1 @ a2073 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl508,zip_derived_cl226]) ).

thf('29',plain,
    ( ~ ( c2_1 @ a2073 )
    | ~ ( c0_1 @ a2073 )
    | ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c2_1 @ X1 ) )
    | ~ ( c1_1 @ a2073 ) ),
    inference(split,[status(esa)],[zip_derived_cl1304]) ).

thf(zip_derived_cl173,plain,
    ( ~ hskp5
    | ( c1_1 @ a2076 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl682,plain,
    ( ( c1_1 @ a2076 )
   <= ( c1_1 @ a2076 ) ),
    inference(split,[status(esa)],[zip_derived_cl173]) ).

thf(zip_derived_cl365_008,plain,
    ( ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ~ ( c1_1 @ X57 )
        | ~ ( c2_1 @ X57 ) )
   <= ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ~ ( c1_1 @ X57 )
        | ~ ( c2_1 @ X57 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl1690,plain,
    ( ( ( c0_1 @ a2076 )
      | ~ ( c2_1 @ a2076 ) )
   <= ( ! [X57: $i] :
          ( ( c0_1 @ X57 )
          | ~ ( c1_1 @ X57 )
          | ~ ( c2_1 @ X57 ) )
      & ( c1_1 @ a2076 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl682,zip_derived_cl365]) ).

thf('30',plain,
    ( ~ ( c2_1 @ a2076 )
    | ~ ( c1_1 @ a2076 )
    | ~ ! [X57: $i] :
          ( ( c0_1 @ X57 )
          | ~ ( c1_1 @ X57 )
          | ~ ( c2_1 @ X57 ) )
    | ( c0_1 @ a2076 ) ),
    inference(split,[status(esa)],[zip_derived_cl1690]) ).

thf(zip_derived_cl456,plain,
    ( ! [X106: $i] :
        ( ( c1_1 @ X106 )
        | ~ ( c0_1 @ X106 )
        | ~ ( c2_1 @ X106 ) )
   <= ! [X106: $i] :
        ( ( c1_1 @ X106 )
        | ~ ( c0_1 @ X106 )
        | ~ ( c2_1 @ X106 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl68]) ).

thf(zip_derived_cl590_009,plain,
    ( ~ ( c1_1 @ a2110 )
   <= ~ ( c1_1 @ a2110 ) ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl1819,plain,
    ( ( ~ ( c2_1 @ a2110 )
      | ~ ( c0_1 @ a2110 ) )
   <= ( ~ ( c1_1 @ a2110 )
      & ! [X106: $i] :
          ( ( c1_1 @ X106 )
          | ~ ( c0_1 @ X106 )
          | ~ ( c2_1 @ X106 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl456,zip_derived_cl590]) ).

thf('31',plain,
    ( ~ ( c0_1 @ a2110 )
    | ~ ( c2_1 @ a2110 )
    | ~ ! [X106: $i] :
          ( ( c1_1 @ X106 )
          | ~ ( c0_1 @ X106 )
          | ~ ( c2_1 @ X106 ) )
    | ( c1_1 @ a2110 ) ),
    inference(split,[status(esa)],[zip_derived_cl1819]) ).

thf(zip_derived_cl453,plain,
    ( ! [X102: $i] :
        ( ( c0_1 @ X102 )
        | ( c1_1 @ X102 )
        | ~ ( c2_1 @ X102 ) )
   <= ! [X102: $i] :
        ( ( c0_1 @ X102 )
        | ( c1_1 @ X102 )
        | ~ ( c2_1 @ X102 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl67]) ).

thf(zip_derived_cl154,plain,
    ( ~ hskp10
    | ~ ( c1_1 @ a2087 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl644,plain,
    ( ~ ( c1_1 @ a2087 )
   <= ~ ( c1_1 @ a2087 ) ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl2045,plain,
    ( ( ~ ( c2_1 @ a2087 )
      | ( c0_1 @ a2087 ) )
   <= ( ~ ( c1_1 @ a2087 )
      & ! [X102: $i] :
          ( ( c0_1 @ X102 )
          | ( c1_1 @ X102 )
          | ~ ( c2_1 @ X102 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl453,zip_derived_cl644]) ).

thf('32',plain,
    ( ~ ! [X102: $i] :
          ( ( c0_1 @ X102 )
          | ( c1_1 @ X102 )
          | ~ ( c2_1 @ X102 ) )
    | ( c0_1 @ a2087 )
    | ( c1_1 @ a2087 )
    | ~ ( c2_1 @ a2087 ) ),
    inference(split,[status(esa)],[zip_derived_cl2045]) ).

thf(zip_derived_cl28,plain,
    ! [X27: $i,X28: $i,X29: $i] :
      ( ( c1_1 @ X27 )
      | ( c3_1 @ X27 )
      | ~ ( c0_1 @ X27 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X28 )
      | ~ ( c1_1 @ X28 )
      | ~ ( c3_1 @ X28 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X29 )
      | ~ ( c2_1 @ X29 )
      | ~ ( c3_1 @ X29 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('33',plain,
    ( ! [X25: $i] :
        ( ( c1_1 @ X25 )
        | ( c3_1 @ X25 )
        | ~ ( c0_1 @ X25 ) )
    | ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | ~ ndr1_0
    | ! [X29: $i] :
        ( ~ ( c0_1 @ X29 )
        | ~ ( c2_1 @ X29 )
        | ~ ( c3_1 @ X29 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf('34',plain,
    ( ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c3_1 @ X11 ) )
    | hskp5
    | ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl692_010,plain,
    ( ( c3_1 @ a2074 )
   <= ( c3_1 @ a2074 ) ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl400_011,plain,
    ( ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c2_1 @ X75 )
        | ~ ( c3_1 @ X75 ) )
   <= ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c2_1 @ X75 )
        | ~ ( c3_1 @ X75 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf(zip_derived_cl1880,plain,
    ( ( ( c0_1 @ a2074 )
      | ( c2_1 @ a2074 ) )
   <= ( ! [X75: $i] :
          ( ( c0_1 @ X75 )
          | ( c2_1 @ X75 )
          | ~ ( c3_1 @ X75 ) )
      & ( c3_1 @ a2074 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl692,zip_derived_cl400]) ).

thf('35',plain,
    ( ~ ! [X75: $i] :
          ( ( c0_1 @ X75 )
          | ( c2_1 @ X75 )
          | ~ ( c3_1 @ X75 ) )
    | ( c0_1 @ a2074 )
    | ( c2_1 @ a2074 )
    | ~ ( c3_1 @ a2074 ) ),
    inference(split,[status(esa)],[zip_derived_cl1880]) ).

thf(zip_derived_cl658_012,plain,
    ( ( c1_1 @ a2082 )
   <= ( c1_1 @ a2082 ) ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl349_013,plain,
    ( ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c1_1 @ X50 )
        | ~ ( c3_1 @ X50 ) )
   <= ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c1_1 @ X50 )
        | ~ ( c3_1 @ X50 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl1660,plain,
    ( ( ( c0_1 @ a2082 )
      | ~ ( c3_1 @ a2082 ) )
   <= ( ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ~ ( c1_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
      & ( c1_1 @ a2082 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl658,zip_derived_cl349]) ).

thf('36',plain,
    ( ~ ( c3_1 @ a2082 )
    | ~ ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ~ ( c1_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
    | ~ ( c1_1 @ a2082 )
    | ( c0_1 @ a2082 ) ),
    inference(split,[status(esa)],[zip_derived_cl1660]) ).

thf(zip_derived_cl145,plain,
    ( ~ hskp12
    | ( c1_1 @ a2095 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl626,plain,
    ( ( c1_1 @ a2095 )
   <= ( c1_1 @ a2095 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl253_014,plain,
    ( ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c3_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c3_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl1501,plain,
    ( ( ( c2_1 @ a2095 )
      | ~ ( c3_1 @ a2095 ) )
   <= ( ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c1_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
      & ( c1_1 @ a2095 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl626,zip_derived_cl253]) ).

thf('37',plain,
    ( ~ ( c3_1 @ a2095 )
    | ( c2_1 @ a2095 )
    | ~ ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c1_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
    | ~ ( c1_1 @ a2095 ) ),
    inference(split,[status(esa)],[zip_derived_cl1501]) ).

thf(zip_derived_cl121,plain,
    ( ~ hskp18
    | ( c1_1 @ a2116 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl578,plain,
    ( ( c1_1 @ a2116 )
   <= ( c1_1 @ a2116 ) ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl13,plain,
    ! [X5: $i] :
      ( ( c2_1 @ X5 )
      | ~ ( c0_1 @ X5 )
      | ~ ( c1_1 @ X5 )
      | ~ ndr1_0
      | hskp22 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl238,plain,
    ( ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl1425,plain,
    ( ( ( c2_1 @ a2116 )
      | ~ ( c0_1 @ a2116 ) )
   <= ( ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c1_1 @ X5 ) )
      & ( c1_1 @ a2116 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl578,zip_derived_cl238]) ).

thf('38',plain,
    ( ~ ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c1_1 @ X5 ) )
    | ~ ( c0_1 @ a2116 )
    | ( c2_1 @ a2116 )
    | ~ ( c1_1 @ a2116 ) ),
    inference(split,[status(esa)],[zip_derived_cl1425]) ).

thf(zip_derived_cl578_015,plain,
    ( ( c1_1 @ a2116 )
   <= ( c1_1 @ a2116 ) ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl393_016,plain,
    ( ! [X71: $i] :
        ( ( c0_1 @ X71 )
        | ( c3_1 @ X71 )
        | ~ ( c1_1 @ X71 ) )
   <= ! [X71: $i] :
        ( ( c0_1 @ X71 )
        | ( c3_1 @ X71 )
        | ~ ( c1_1 @ X71 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl1859,plain,
    ( ( ( c0_1 @ a2116 )
      | ( c3_1 @ a2116 ) )
   <= ( ! [X71: $i] :
          ( ( c0_1 @ X71 )
          | ( c3_1 @ X71 )
          | ~ ( c1_1 @ X71 ) )
      & ( c1_1 @ a2116 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl578,zip_derived_cl393]) ).

thf('39',plain,
    ( ( c0_1 @ a2116 )
    | ( c3_1 @ a2116 )
    | ~ ! [X71: $i] :
          ( ( c0_1 @ X71 )
          | ( c3_1 @ X71 )
          | ~ ( c1_1 @ X71 ) )
    | ~ ( c1_1 @ a2116 ) ),
    inference(split,[status(esa)],[zip_derived_cl1859]) ).

thf(zip_derived_cl57,plain,
    ! [X80: $i,X81: $i,X82: $i] :
      ( ( c0_1 @ X80 )
      | ( c2_1 @ X80 )
      | ~ ( c3_1 @ X80 )
      | ~ ndr1_0
      | ( c0_1 @ X81 )
      | ( c3_1 @ X81 )
      | ~ ( c1_1 @ X81 )
      | ~ ndr1_0
      | ( c2_1 @ X82 )
      | ( c3_1 @ X82 )
      | ~ ( c1_1 @ X82 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('40',plain,
    ( ! [X71: $i] :
        ( ( c0_1 @ X71 )
        | ( c3_1 @ X71 )
        | ~ ( c1_1 @ X71 ) )
    | ! [X22: $i] :
        ( ( c2_1 @ X22 )
        | ( c3_1 @ X22 )
        | ~ ( c1_1 @ X22 ) )
    | ~ ndr1_0
    | ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c2_1 @ X75 )
        | ~ ( c3_1 @ X75 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf(zip_derived_cl93,plain,
    ( ~ hskp25
    | ( c1_1 @ a2172 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl522,plain,
    ( ( c1_1 @ a2172 )
   <= ( c1_1 @ a2172 ) ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf(zip_derived_cl24,plain,
    ! [X21: $i,X22: $i] :
      ( ( c1_1 @ X21 )
      | ~ ( c0_1 @ X21 )
      | ~ ( c3_1 @ X21 )
      | ~ ndr1_0
      | ( c2_1 @ X22 )
      | ( c3_1 @ X22 )
      | ~ ( c1_1 @ X22 )
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl281,plain,
    ( ! [X22: $i] :
        ( ( c2_1 @ X22 )
        | ( c3_1 @ X22 )
        | ~ ( c1_1 @ X22 ) )
   <= ! [X22: $i] :
        ( ( c2_1 @ X22 )
        | ( c3_1 @ X22 )
        | ~ ( c1_1 @ X22 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl1337,plain,
    ( ( ( c2_1 @ a2172 )
      | ( c3_1 @ a2172 ) )
   <= ( ! [X22: $i] :
          ( ( c2_1 @ X22 )
          | ( c3_1 @ X22 )
          | ~ ( c1_1 @ X22 ) )
      & ( c1_1 @ a2172 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl522,zip_derived_cl281]) ).

thf('41',plain,
    ( ( c3_1 @ a2172 )
    | ( c2_1 @ a2172 )
    | ~ ! [X22: $i] :
          ( ( c2_1 @ X22 )
          | ( c3_1 @ X22 )
          | ~ ( c1_1 @ X22 ) )
    | ~ ( c1_1 @ a2172 ) ),
    inference(split,[status(esa)],[zip_derived_cl1337]) ).

thf('42',plain,
    ( ( c1_1 @ a2172 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf(zip_derived_cl94,plain,
    ( ~ hskp25
    | ~ ( c0_1 @ a2172 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('43',plain,
    ( ~ hskp25
    | ~ ( c0_1 @ a2172 ) ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf(zip_derived_cl95,plain,
    ( ~ hskp25
    | ~ ( c3_1 @ a2172 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('44',plain,
    ( ~ hskp25
    | ~ ( c3_1 @ a2172 ) ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl0,plain,
    ( hskp12
    | hskp25
    | hskp18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('45',plain,
    ( hskp25
    | hskp18
    | hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf('46',plain,
    ( ( c1_1 @ a2116 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl122,plain,
    ( ~ hskp18
    | ~ ( c2_1 @ a2116 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('47',plain,
    ( ~ ( c2_1 @ a2116 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl123,plain,
    ( ~ hskp18
    | ~ ( c3_1 @ a2116 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('48',plain,
    ( ~ ( c3_1 @ a2116 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl578_017,plain,
    ( ( c1_1 @ a2116 )
   <= ( c1_1 @ a2116 ) ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl281_018,plain,
    ( ! [X22: $i] :
        ( ( c2_1 @ X22 )
        | ( c3_1 @ X22 )
        | ~ ( c1_1 @ X22 ) )
   <= ! [X22: $i] :
        ( ( c2_1 @ X22 )
        | ( c3_1 @ X22 )
        | ~ ( c1_1 @ X22 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl1428,plain,
    ( ( ( c2_1 @ a2116 )
      | ( c3_1 @ a2116 ) )
   <= ( ! [X22: $i] :
          ( ( c2_1 @ X22 )
          | ( c3_1 @ X22 )
          | ~ ( c1_1 @ X22 ) )
      & ( c1_1 @ a2116 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl578,zip_derived_cl281]) ).

thf('49',plain,
    ( ( c2_1 @ a2116 )
    | ( c3_1 @ a2116 )
    | ~ ! [X22: $i] :
          ( ( c2_1 @ X22 )
          | ( c3_1 @ X22 )
          | ~ ( c1_1 @ X22 ) )
    | ~ ( c1_1 @ a2116 ) ),
    inference(split,[status(esa)],[zip_derived_cl1428]) ).

thf(zip_derived_cl47,plain,
    ! [X61: $i] :
      ( ( c0_1 @ X61 )
      | ( c3_1 @ X61 )
      | ~ ( c2_1 @ X61 )
      | ~ ndr1_0
      | hskp12
      | hskp13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl372,plain,
    ( ! [X61: $i] :
        ( ( c0_1 @ X61 )
        | ( c3_1 @ X61 )
        | ~ ( c2_1 @ X61 ) )
   <= ! [X61: $i] :
        ( ( c0_1 @ X61 )
        | ( c3_1 @ X61 )
        | ~ ( c2_1 @ X61 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(zip_derived_cl526,plain,
    ( ~ ( c3_1 @ a2172 )
   <= ~ ( c3_1 @ a2172 ) ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl1775,plain,
    ( ( ~ ( c2_1 @ a2172 )
      | ( c0_1 @ a2172 ) )
   <= ( ~ ( c3_1 @ a2172 )
      & ! [X61: $i] :
          ( ( c0_1 @ X61 )
          | ( c3_1 @ X61 )
          | ~ ( c2_1 @ X61 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl372,zip_derived_cl526]) ).

thf('50',plain,
    ( ( c3_1 @ a2172 )
    | ~ ( c2_1 @ a2172 )
    | ~ ! [X61: $i] :
          ( ( c0_1 @ X61 )
          | ( c3_1 @ X61 )
          | ~ ( c2_1 @ X61 ) )
    | ( c0_1 @ a2172 ) ),
    inference(split,[status(esa)],[zip_derived_cl1775]) ).

thf(zip_derived_cl522_019,plain,
    ( ( c1_1 @ a2172 )
   <= ( c1_1 @ a2172 ) ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf(zip_derived_cl393_020,plain,
    ( ! [X71: $i] :
        ( ( c0_1 @ X71 )
        | ( c3_1 @ X71 )
        | ~ ( c1_1 @ X71 ) )
   <= ! [X71: $i] :
        ( ( c0_1 @ X71 )
        | ( c3_1 @ X71 )
        | ~ ( c1_1 @ X71 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl1862,plain,
    ( ( ( c0_1 @ a2172 )
      | ( c3_1 @ a2172 ) )
   <= ( ! [X71: $i] :
          ( ( c0_1 @ X71 )
          | ( c3_1 @ X71 )
          | ~ ( c1_1 @ X71 ) )
      & ( c1_1 @ a2172 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl522,zip_derived_cl393]) ).

thf('51',plain,
    ( ( c3_1 @ a2172 )
    | ( c0_1 @ a2172 )
    | ~ ! [X71: $i] :
          ( ( c0_1 @ X71 )
          | ( c3_1 @ X71 )
          | ~ ( c1_1 @ X71 ) )
    | ~ ( c1_1 @ a2172 ) ),
    inference(split,[status(esa)],[zip_derived_cl1862]) ).

thf(zip_derived_cl626_021,plain,
    ( ( c1_1 @ a2095 )
   <= ( c1_1 @ a2095 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl393_022,plain,
    ( ! [X71: $i] :
        ( ( c0_1 @ X71 )
        | ( c3_1 @ X71 )
        | ~ ( c1_1 @ X71 ) )
   <= ! [X71: $i] :
        ( ( c0_1 @ X71 )
        | ( c3_1 @ X71 )
        | ~ ( c1_1 @ X71 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl1858,plain,
    ( ( ( c0_1 @ a2095 )
      | ( c3_1 @ a2095 ) )
   <= ( ! [X71: $i] :
          ( ( c0_1 @ X71 )
          | ( c3_1 @ X71 )
          | ~ ( c1_1 @ X71 ) )
      & ( c1_1 @ a2095 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl626,zip_derived_cl393]) ).

thf('52',plain,
    ( ( c3_1 @ a2095 )
    | ( c0_1 @ a2095 )
    | ~ ! [X71: $i] :
          ( ( c0_1 @ X71 )
          | ( c3_1 @ X71 )
          | ~ ( c1_1 @ X71 ) )
    | ~ ( c1_1 @ a2095 ) ),
    inference(split,[status(esa)],[zip_derived_cl1858]) ).

thf('53',plain,
    ( ~ ( c3_1 @ a2079 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl167]) ).

thf(zip_derived_cl65,plain,
    ! [X97: $i,X98: $i,X99: $i] :
      ( ( c0_1 @ X97 )
      | ( c1_1 @ X97 )
      | ~ ( c3_1 @ X97 )
      | ~ ndr1_0
      | ( c1_1 @ X98 )
      | ~ ( c2_1 @ X98 )
      | ~ ( c3_1 @ X98 )
      | ~ ndr1_0
      | ( c2_1 @ X99 )
      | ( c3_1 @ X99 )
      | ~ ( c1_1 @ X99 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('54',plain,
    ( ! [X95: $i] :
        ( ( c0_1 @ X95 )
        | ( c1_1 @ X95 )
        | ~ ( c3_1 @ X95 ) )
    | ! [X22: $i] :
        ( ( c2_1 @ X22 )
        | ( c3_1 @ X22 )
        | ~ ( c1_1 @ X22 ) )
    | ~ ndr1_0
    | ! [X14: $i] :
        ( ( c1_1 @ X14 )
        | ~ ( c2_1 @ X14 )
        | ~ ( c3_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl65]) ).

thf(zip_derived_cl508_023,plain,
    ( ( c1_1 @ a2073 )
   <= ( c1_1 @ a2073 ) ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i] :
      ( ~ ( c0_1 @ X0 )
      | ~ ( c1_1 @ X0 )
      | ~ ( c3_1 @ X0 )
      | ~ ndr1_0
      | hskp17
      | hskp22 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl222,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl1303,plain,
    ( ( ~ ( c0_1 @ a2073 )
      | ~ ( c3_1 @ a2073 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c1_1 @ a2073 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl508,zip_derived_cl222]) ).

thf('55',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c1_1 @ a2073 )
    | ~ ( c3_1 @ a2073 )
    | ~ ( c0_1 @ a2073 ) ),
    inference(split,[status(esa)],[zip_derived_cl1303]) ).

thf(zip_derived_cl64,plain,
    ! [X95: $i,X96: $i] :
      ( ( c0_1 @ X95 )
      | ( c1_1 @ X95 )
      | ~ ( c3_1 @ X95 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X96 )
      | ~ ( c1_1 @ X96 )
      | ~ ( c3_1 @ X96 )
      | ~ ndr1_0
      | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl440,plain,
    ( ! [X95: $i] :
        ( ( c0_1 @ X95 )
        | ( c1_1 @ X95 )
        | ~ ( c3_1 @ X95 ) )
   <= ! [X95: $i] :
        ( ( c0_1 @ X95 )
        | ( c1_1 @ X95 )
        | ~ ( c3_1 @ X95 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl64]) ).

thf(zip_derived_cl159,plain,
    ( ~ hskp9
    | ~ ( c1_1 @ a2084 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl654,plain,
    ( ~ ( c1_1 @ a2084 )
   <= ~ ( c1_1 @ a2084 ) ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl1953,plain,
    ( ( ~ ( c3_1 @ a2084 )
      | ( c0_1 @ a2084 ) )
   <= ( ~ ( c1_1 @ a2084 )
      & ! [X95: $i] :
          ( ( c0_1 @ X95 )
          | ( c1_1 @ X95 )
          | ~ ( c3_1 @ X95 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl440,zip_derived_cl654]) ).

thf('56',plain,
    ( ~ ! [X95: $i] :
          ( ( c0_1 @ X95 )
          | ( c1_1 @ X95 )
          | ~ ( c3_1 @ X95 ) )
    | ( c0_1 @ a2084 )
    | ( c1_1 @ a2084 )
    | ~ ( c3_1 @ a2084 ) ),
    inference(split,[status(esa)],[zip_derived_cl1953]) ).

thf(zip_derived_cl40,plain,
    ! [X48: $i,X49: $i] :
      ( ( c0_1 @ X48 )
      | ~ ( c2_1 @ X48 )
      | ~ ( c3_1 @ X48 )
      | ~ ndr1_0
      | ( c1_1 @ X49 )
      | ~ ( c2_1 @ X49 )
      | ~ ( c3_1 @ X49 )
      | ~ ndr1_0
      | hskp27 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('57',plain,
    ( hskp27
    | ! [X14: $i] :
        ( ( c1_1 @ X14 )
        | ~ ( c2_1 @ X14 )
        | ~ ( c3_1 @ X14 ) )
    | ~ ndr1_0
    | ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c2_1 @ X42 )
        | ~ ( c3_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl22,plain,
    ! [X19: $i] :
      ( ( c1_1 @ X19 )
      | ~ ( c0_1 @ X19 )
      | ~ ( c3_1 @ X19 )
      | ~ ndr1_0
      | hskp11
      | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl273,plain,
    ( ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c3_1 @ X19 ) )
   <= ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c3_1 @ X19 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl654_024,plain,
    ( ~ ( c1_1 @ a2084 )
   <= ~ ( c1_1 @ a2084 ) ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl994,plain,
    ( ( ~ ( c3_1 @ a2084 )
      | ~ ( c0_1 @ a2084 ) )
   <= ( ~ ( c1_1 @ a2084 )
      & ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c0_1 @ X19 )
          | ~ ( c3_1 @ X19 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl273,zip_derived_cl654]) ).

thf('58',plain,
    ( ~ ( c0_1 @ a2084 )
    | ( c1_1 @ a2084 )
    | ~ ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c0_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
    | ~ ( c3_1 @ a2084 ) ),
    inference(split,[status(esa)],[zip_derived_cl994]) ).

thf(zip_derived_cl261_025,plain,
    ( ! [X14: $i] :
        ( ( c1_1 @ X14 )
        | ~ ( c2_1 @ X14 )
        | ~ ( c3_1 @ X14 ) )
   <= ! [X14: $i] :
        ( ( c1_1 @ X14 )
        | ~ ( c2_1 @ X14 )
        | ~ ( c3_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl654_026,plain,
    ( ~ ( c1_1 @ a2084 )
   <= ~ ( c1_1 @ a2084 ) ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl885,plain,
    ( ( ~ ( c3_1 @ a2084 )
      | ~ ( c2_1 @ a2084 ) )
   <= ( ~ ( c1_1 @ a2084 )
      & ! [X14: $i] :
          ( ( c1_1 @ X14 )
          | ~ ( c2_1 @ X14 )
          | ~ ( c3_1 @ X14 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl261,zip_derived_cl654]) ).

thf('59',plain,
    ( ~ ( c3_1 @ a2084 )
    | ( c1_1 @ a2084 )
    | ~ ! [X14: $i] :
          ( ( c1_1 @ X14 )
          | ~ ( c2_1 @ X14 )
          | ~ ( c3_1 @ X14 ) )
    | ~ ( c2_1 @ a2084 ) ),
    inference(split,[status(esa)],[zip_derived_cl885]) ).

thf('60',plain,
    ( ~ ( c1_1 @ a2084 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl59,plain,
    ! [X85: $i,X86: $i] :
      ( ( c0_1 @ X85 )
      | ( c2_1 @ X85 )
      | ~ ( c1_1 @ X85 )
      | ~ ndr1_0
      | ( c2_1 @ X86 )
      | ~ ( c0_1 @ X86 )
      | ~ ( c1_1 @ X86 )
      | ~ ndr1_0
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('61',plain,
    ( hskp9
    | ! [X83: $i] :
        ( ( c0_1 @ X83 )
        | ( c2_1 @ X83 )
        | ~ ( c1_1 @ X83 ) )
    | ~ ndr1_0
    | ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl626_027,plain,
    ( ( c1_1 @ a2095 )
   <= ( c1_1 @ a2095 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl58,plain,
    ! [X83: $i,X84: $i] :
      ( ( c0_1 @ X83 )
      | ( c2_1 @ X83 )
      | ~ ( c1_1 @ X83 )
      | ~ ndr1_0
      | ( c2_1 @ X84 )
      | ~ ( c0_1 @ X84 )
      | ~ ( c3_1 @ X84 )
      | ~ ndr1_0
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl417,plain,
    ( ! [X83: $i] :
        ( ( c0_1 @ X83 )
        | ( c2_1 @ X83 )
        | ~ ( c1_1 @ X83 ) )
   <= ! [X83: $i] :
        ( ( c0_1 @ X83 )
        | ( c2_1 @ X83 )
        | ~ ( c1_1 @ X83 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf(zip_derived_cl1920,plain,
    ( ( ( c0_1 @ a2095 )
      | ( c2_1 @ a2095 ) )
   <= ( ! [X83: $i] :
          ( ( c0_1 @ X83 )
          | ( c2_1 @ X83 )
          | ~ ( c1_1 @ X83 ) )
      & ( c1_1 @ a2095 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl626,zip_derived_cl417]) ).

thf('62',plain,
    ( ( c0_1 @ a2095 )
    | ( c2_1 @ a2095 )
    | ~ ! [X83: $i] :
          ( ( c0_1 @ X83 )
          | ( c2_1 @ X83 )
          | ~ ( c1_1 @ X83 ) )
    | ~ ( c1_1 @ a2095 ) ),
    inference(split,[status(esa)],[zip_derived_cl1920]) ).

thf(zip_derived_cl372_028,plain,
    ( ! [X61: $i] :
        ( ( c0_1 @ X61 )
        | ( c3_1 @ X61 )
        | ~ ( c2_1 @ X61 ) )
   <= ! [X61: $i] :
        ( ( c0_1 @ X61 )
        | ( c3_1 @ X61 )
        | ~ ( c2_1 @ X61 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(zip_derived_cl183,plain,
    ( ~ hskp3
    | ~ ( c3_1 @ a2072 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl702,plain,
    ( ~ ( c3_1 @ a2072 )
   <= ~ ( c3_1 @ a2072 ) ),
    inference(split,[status(esa)],[zip_derived_cl183]) ).

thf(zip_derived_cl1759,plain,
    ( ( ~ ( c2_1 @ a2072 )
      | ( c0_1 @ a2072 ) )
   <= ( ~ ( c3_1 @ a2072 )
      & ! [X61: $i] :
          ( ( c0_1 @ X61 )
          | ( c3_1 @ X61 )
          | ~ ( c2_1 @ X61 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl372,zip_derived_cl702]) ).

thf('63',plain,
    ( ~ ( c2_1 @ a2072 )
    | ( c0_1 @ a2072 )
    | ~ ! [X61: $i] :
          ( ( c0_1 @ X61 )
          | ( c3_1 @ X61 )
          | ~ ( c2_1 @ X61 ) )
    | ( c3_1 @ a2072 ) ),
    inference(split,[status(esa)],[zip_derived_cl1759]) ).

thf(zip_derived_cl181,plain,
    ( ~ hskp3
    | ~ ( c0_1 @ a2072 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('64',plain,
    ( ~ ( c0_1 @ a2072 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl181]) ).

thf('65',plain,
    ( ~ ( c3_1 @ a2072 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl183]) ).

thf(zip_derived_cl29,plain,
    ! [X30: $i,X31: $i] :
      ( ( c1_1 @ X30 )
      | ( c3_1 @ X30 )
      | ~ ( c0_1 @ X30 )
      | ~ ndr1_0
      | ( c2_1 @ X31 )
      | ~ ( c1_1 @ X31 )
      | ~ ( c3_1 @ X31 )
      | ~ ndr1_0
      | hskp3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('66',plain,
    ( hskp3
    | ! [X25: $i] :
        ( ( c1_1 @ X25 )
        | ( c3_1 @ X25 )
        | ~ ( c0_1 @ X25 ) )
    | ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c3_1 @ X11 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl63,plain,
    ! [X92: $i,X93: $i,X94: $i] :
      ( ( c0_1 @ X92 )
      | ( c2_1 @ X92 )
      | ( c3_1 @ X92 )
      | ~ ndr1_0
      | ( c1_1 @ X93 )
      | ( c3_1 @ X93 )
      | ~ ( c2_1 @ X93 )
      | ~ ndr1_0
      | ( c2_1 @ X94 )
      | ~ ( c1_1 @ X94 )
      | ~ ( c3_1 @ X94 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('67',plain,
    ( ! [X91: $i] :
        ( ( c0_1 @ X91 )
        | ( c2_1 @ X91 )
        | ( c3_1 @ X91 ) )
    | ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c3_1 @ X11 ) )
    | ~ ndr1_0
    | ! [X58: $i] :
        ( ( c1_1 @ X58 )
        | ( c3_1 @ X58 )
        | ~ ( c2_1 @ X58 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl63]) ).

thf(zip_derived_cl62,plain,
    ! [X91: $i] :
      ( ( c0_1 @ X91 )
      | ( c2_1 @ X91 )
      | ( c3_1 @ X91 )
      | ~ ndr1_0
      | hskp5
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl432,plain,
    ( ! [X91: $i] :
        ( ( c0_1 @ X91 )
        | ( c2_1 @ X91 )
        | ( c3_1 @ X91 ) )
   <= ! [X91: $i] :
        ( ( c0_1 @ X91 )
        | ( c2_1 @ X91 )
        | ( c3_1 @ X91 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf(zip_derived_cl702_029,plain,
    ( ~ ( c3_1 @ a2072 )
   <= ~ ( c3_1 @ a2072 ) ),
    inference(split,[status(esa)],[zip_derived_cl183]) ).

thf(zip_derived_cl1989,plain,
    ( ( ( c2_1 @ a2072 )
      | ( c0_1 @ a2072 ) )
   <= ( ~ ( c3_1 @ a2072 )
      & ! [X91: $i] :
          ( ( c0_1 @ X91 )
          | ( c2_1 @ X91 )
          | ( c3_1 @ X91 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl432,zip_derived_cl702]) ).

thf('68',plain,
    ( ( c2_1 @ a2072 )
    | ( c0_1 @ a2072 )
    | ~ ! [X91: $i] :
          ( ( c0_1 @ X91 )
          | ( c2_1 @ X91 )
          | ( c3_1 @ X91 ) )
    | ( c3_1 @ a2072 ) ),
    inference(split,[status(esa)],[zip_derived_cl1989]) ).

thf(zip_derived_cl42,plain,
    ! [X51: $i] :
      ( ( c0_1 @ X51 )
      | ~ ( c1_1 @ X51 )
      | ~ ( c3_1 @ X51 )
      | ~ ndr1_0
      | hskp28
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('69',plain,
    ( hskp28
    | ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c1_1 @ X50 )
        | ~ ( c3_1 @ X50 ) )
    | hskp4
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl43,plain,
    ! [X52: $i,X53: $i,X54: $i] :
      ( ( c0_1 @ X52 )
      | ~ ( c1_1 @ X52 )
      | ~ ( c3_1 @ X52 )
      | ~ ndr1_0
      | ( c1_1 @ X53 )
      | ~ ( c0_1 @ X53 )
      | ~ ( c3_1 @ X53 )
      | ~ ndr1_0
      | ( c2_1 @ X54 )
      | ~ ( c0_1 @ X54 )
      | ~ ( c1_1 @ X54 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('70',plain,
    ( ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c3_1 @ X19 ) )
    | ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c1_1 @ X50 )
        | ~ ( c3_1 @ X50 ) )
    | ~ ndr1_0
    | ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl166,plain,
    ( ~ hskp7
    | ( c1_1 @ a2079 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl668,plain,
    ( ( c1_1 @ a2079 )
   <= ( c1_1 @ a2079 ) ),
    inference(split,[status(esa)],[zip_derived_cl166]) ).

thf(zip_derived_cl281_030,plain,
    ( ! [X22: $i] :
        ( ( c2_1 @ X22 )
        | ( c3_1 @ X22 )
        | ~ ( c1_1 @ X22 ) )
   <= ! [X22: $i] :
        ( ( c2_1 @ X22 )
        | ( c3_1 @ X22 )
        | ~ ( c1_1 @ X22 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl1563,plain,
    ( ( ( c2_1 @ a2079 )
      | ( c3_1 @ a2079 ) )
   <= ( ! [X22: $i] :
          ( ( c2_1 @ X22 )
          | ( c3_1 @ X22 )
          | ~ ( c1_1 @ X22 ) )
      & ( c1_1 @ a2079 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl668,zip_derived_cl281]) ).

thf('71',plain,
    ( ( c2_1 @ a2079 )
    | ~ ! [X22: $i] :
          ( ( c2_1 @ X22 )
          | ( c3_1 @ X22 )
          | ~ ( c1_1 @ X22 ) )
    | ~ ( c1_1 @ a2079 )
    | ( c3_1 @ a2079 ) ),
    inference(split,[status(esa)],[zip_derived_cl1563]) ).

thf(zip_derived_cl81,plain,
    ( ~ hskp28
    | ( c0_1 @ a2075 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('72',plain,
    ( ( c0_1 @ a2075 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf(zip_derived_cl82,plain,
    ( ~ hskp28
    | ( c1_1 @ a2075 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('73',plain,
    ( ( c1_1 @ a2075 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl83,plain,
    ( ~ hskp28
    | ( c2_1 @ a2075 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('74',plain,
    ( ( c2_1 @ a2075 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl500,plain,
    ( ( c1_1 @ a2075 )
   <= ( c1_1 @ a2075 ) ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl226_031,plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c2_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c2_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl1285,plain,
    ( ( ~ ( c0_1 @ a2075 )
      | ~ ( c2_1 @ a2075 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c2_1 @ X1 ) )
      & ( c1_1 @ a2075 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl500,zip_derived_cl226]) ).

thf('75',plain,
    ( ~ ( c1_1 @ a2075 )
    | ~ ( c2_1 @ a2075 )
    | ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c2_1 @ X1 ) )
    | ~ ( c0_1 @ a2075 ) ),
    inference(split,[status(esa)],[zip_derived_cl1285]) ).

thf(zip_derived_cl364,plain,
    ( ! [X58: $i] :
        ( ( c1_1 @ X58 )
        | ( c3_1 @ X58 )
        | ~ ( c2_1 @ X58 ) )
   <= ! [X58: $i] :
        ( ( c1_1 @ X58 )
        | ( c3_1 @ X58 )
        | ~ ( c2_1 @ X58 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl644_032,plain,
    ( ~ ( c1_1 @ a2087 )
   <= ~ ( c1_1 @ a2087 ) ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl1723,plain,
    ( ( ~ ( c2_1 @ a2087 )
      | ( c3_1 @ a2087 ) )
   <= ( ~ ( c1_1 @ a2087 )
      & ! [X58: $i] :
          ( ( c1_1 @ X58 )
          | ( c3_1 @ X58 )
          | ~ ( c2_1 @ X58 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl364,zip_derived_cl644]) ).

thf('76',plain,
    ( ~ ! [X58: $i] :
          ( ( c1_1 @ X58 )
          | ( c3_1 @ X58 )
          | ~ ( c2_1 @ X58 ) )
    | ~ ( c2_1 @ a2087 )
    | ( c1_1 @ a2087 )
    | ( c3_1 @ a2087 ) ),
    inference(split,[status(esa)],[zip_derived_cl1723]) ).

thf(zip_derived_cl61,plain,
    ! [X89: $i,X90: $i] :
      ( ( c0_1 @ X89 )
      | ( c2_1 @ X89 )
      | ~ ( c1_1 @ X89 )
      | ~ ndr1_0
      | ( c1_1 @ X90 )
      | ( c3_1 @ X90 )
      | ~ ( c2_1 @ X90 )
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('77',plain,
    ( ! [X83: $i] :
        ( ( c0_1 @ X83 )
        | ( c2_1 @ X83 )
        | ~ ( c1_1 @ X83 ) )
    | ! [X58: $i] :
        ( ( c1_1 @ X58 )
        | ( c3_1 @ X58 )
        | ~ ( c2_1 @ X58 ) )
    | ~ ndr1_0
    | hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf('78',plain,
    ( ( c1_1 @ a2082 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl658_033,plain,
    ( ( c1_1 @ a2082 )
   <= ( c1_1 @ a2082 ) ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl365_034,plain,
    ( ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ~ ( c1_1 @ X57 )
        | ~ ( c2_1 @ X57 ) )
   <= ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ~ ( c1_1 @ X57 )
        | ~ ( c2_1 @ X57 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl1692,plain,
    ( ( ( c0_1 @ a2082 )
      | ~ ( c2_1 @ a2082 ) )
   <= ( ! [X57: $i] :
          ( ( c0_1 @ X57 )
          | ~ ( c1_1 @ X57 )
          | ~ ( c2_1 @ X57 ) )
      & ( c1_1 @ a2082 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl658,zip_derived_cl365]) ).

thf('79',plain,
    ( ~ ( c1_1 @ a2082 )
    | ~ ( c2_1 @ a2082 )
    | ~ ! [X57: $i] :
          ( ( c0_1 @ X57 )
          | ~ ( c1_1 @ X57 )
          | ~ ( c2_1 @ X57 ) )
    | ( c0_1 @ a2082 ) ),
    inference(split,[status(esa)],[zip_derived_cl1692]) ).

thf(zip_derived_cl48,plain,
    ! [X62: $i,X63: $i,X64: $i] :
      ( ( c0_1 @ X62 )
      | ( c3_1 @ X62 )
      | ~ ( c2_1 @ X62 )
      | ~ ndr1_0
      | ( c2_1 @ X63 )
      | ~ ( c0_1 @ X63 )
      | ~ ( c3_1 @ X63 )
      | ~ ndr1_0
      | ( c2_1 @ X64 )
      | ~ ( c1_1 @ X64 )
      | ~ ( c3_1 @ X64 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('80',plain,
    ( ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c3_1 @ X11 ) )
    | ! [X2: $i] :
        ( ( c2_1 @ X2 )
        | ~ ( c0_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
    | ~ ndr1_0
    | ! [X61: $i] :
        ( ( c0_1 @ X61 )
        | ( c3_1 @ X61 )
        | ~ ( c2_1 @ X61 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl682_035,plain,
    ( ( c1_1 @ a2076 )
   <= ( c1_1 @ a2076 ) ),
    inference(split,[status(esa)],[zip_derived_cl173]) ).

thf(zip_derived_cl253_036,plain,
    ( ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c3_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c3_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl1579,plain,
    ( ( ( c2_1 @ a2076 )
      | ~ ( c3_1 @ a2076 ) )
   <= ( ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c1_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
      & ( c1_1 @ a2076 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl682,zip_derived_cl253]) ).

thf('81',plain,
    ( ( c2_1 @ a2076 )
    | ~ ( c1_1 @ a2076 )
    | ~ ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c1_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
    | ~ ( c3_1 @ a2076 ) ),
    inference(split,[status(esa)],[zip_derived_cl1579]) ).

thf(zip_derived_cl682_037,plain,
    ( ( c1_1 @ a2076 )
   <= ( c1_1 @ a2076 ) ),
    inference(split,[status(esa)],[zip_derived_cl173]) ).

thf(zip_derived_cl417_038,plain,
    ( ! [X83: $i] :
        ( ( c0_1 @ X83 )
        | ( c2_1 @ X83 )
        | ~ ( c1_1 @ X83 ) )
   <= ! [X83: $i] :
        ( ( c0_1 @ X83 )
        | ( c2_1 @ X83 )
        | ~ ( c1_1 @ X83 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf(zip_derived_cl1917,plain,
    ( ( ( c0_1 @ a2076 )
      | ( c2_1 @ a2076 ) )
   <= ( ! [X83: $i] :
          ( ( c0_1 @ X83 )
          | ( c2_1 @ X83 )
          | ~ ( c1_1 @ X83 ) )
      & ( c1_1 @ a2076 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl682,zip_derived_cl417]) ).

thf('82',plain,
    ( ( c2_1 @ a2076 )
    | ( c0_1 @ a2076 )
    | ~ ! [X83: $i] :
          ( ( c0_1 @ X83 )
          | ( c2_1 @ X83 )
          | ~ ( c1_1 @ X83 ) )
    | ~ ( c1_1 @ a2076 ) ),
    inference(split,[status(esa)],[zip_derived_cl1917]) ).

thf(zip_derived_cl174,plain,
    ( ~ hskp5
    | ( c3_1 @ a2076 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl684,plain,
    ( ( c3_1 @ a2076 )
   <= ( c3_1 @ a2076 ) ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf(zip_derived_cl329_039,plain,
    ( ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c2_1 @ X42 )
        | ~ ( c3_1 @ X42 ) )
   <= ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c2_1 @ X42 )
        | ~ ( c3_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl1588,plain,
    ( ( ( c0_1 @ a2076 )
      | ~ ( c2_1 @ a2076 ) )
   <= ( ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ~ ( c2_1 @ X42 )
          | ~ ( c3_1 @ X42 ) )
      & ( c3_1 @ a2076 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl684,zip_derived_cl329]) ).

thf('83',plain,
    ( ~ ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ~ ( c2_1 @ X42 )
          | ~ ( c3_1 @ X42 ) )
    | ~ ( c2_1 @ a2076 )
    | ( c0_1 @ a2076 )
    | ~ ( c3_1 @ a2076 ) ),
    inference(split,[status(esa)],[zip_derived_cl1588]) ).

thf(zip_derived_cl8,plain,
    ( hskp27
    | hskp23
    | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('84',plain,
    ( hskp27
    | hskp5
    | hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl158,plain,
    ( ~ hskp9
    | ( c3_1 @ a2084 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl652,plain,
    ( ( c3_1 @ a2084 )
   <= ( c3_1 @ a2084 ) ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl329_040,plain,
    ( ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c2_1 @ X42 )
        | ~ ( c3_1 @ X42 ) )
   <= ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c2_1 @ X42 )
        | ~ ( c3_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl1534,plain,
    ( ( ( c0_1 @ a2084 )
      | ~ ( c2_1 @ a2084 ) )
   <= ( ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ~ ( c2_1 @ X42 )
          | ~ ( c3_1 @ X42 ) )
      & ( c3_1 @ a2084 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl652,zip_derived_cl329]) ).

thf('85',plain,
    ( ~ ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ~ ( c2_1 @ X42 )
          | ~ ( c3_1 @ X42 ) )
    | ( c0_1 @ a2084 )
    | ~ ( c3_1 @ a2084 )
    | ~ ( c2_1 @ a2084 ) ),
    inference(split,[status(esa)],[zip_derived_cl1534]) ).

thf(zip_derived_cl157,plain,
    ( ~ hskp9
    | ( c2_1 @ a2084 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('86',plain,
    ( ( c2_1 @ a2084 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf('87',plain,
    ( ( c3_1 @ a2084 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf('88',plain,
    ( hskp9
    | ! [X83: $i] :
        ( ( c0_1 @ X83 )
        | ( c2_1 @ X83 )
        | ~ ( c1_1 @ X83 ) )
    | ~ ndr1_0
    | ! [X2: $i] :
        ( ( c2_1 @ X2 )
        | ~ ( c0_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf(zip_derived_cl690_041,plain,
    ( ( c1_1 @ a2074 )
   <= ( c1_1 @ a2074 ) ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf(zip_derived_cl238_042,plain,
    ( ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl1593,plain,
    ( ( ( c2_1 @ a2074 )
      | ~ ( c0_1 @ a2074 ) )
   <= ( ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c1_1 @ X5 ) )
      & ( c1_1 @ a2074 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl690,zip_derived_cl238]) ).

thf('89',plain,
    ( ~ ( c0_1 @ a2074 )
    | ~ ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c1_1 @ X5 ) )
    | ~ ( c1_1 @ a2074 )
    | ( c2_1 @ a2074 ) ),
    inference(split,[status(esa)],[zip_derived_cl1593]) ).

thf('90',plain,
    ( ! [X2: $i] :
        ( ( c2_1 @ X2 )
        | ~ ( c0_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
    | hskp4
    | ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf('91',plain,
    ( hskp10
    | ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c3_1 @ X19 ) )
    | hskp11
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf('92',plain,
    ( ~ ( c1_1 @ a2087 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl289_043,plain,
    ( ! [X25: $i] :
        ( ( c1_1 @ X25 )
        | ( c3_1 @ X25 )
        | ~ ( c0_1 @ X25 ) )
   <= ! [X25: $i] :
        ( ( c1_1 @ X25 )
        | ( c3_1 @ X25 )
        | ~ ( c0_1 @ X25 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl644_044,plain,
    ( ~ ( c1_1 @ a2087 )
   <= ~ ( c1_1 @ a2087 ) ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl1099,plain,
    ( ( ~ ( c0_1 @ a2087 )
      | ( c3_1 @ a2087 ) )
   <= ( ~ ( c1_1 @ a2087 )
      & ! [X25: $i] :
          ( ( c1_1 @ X25 )
          | ( c3_1 @ X25 )
          | ~ ( c0_1 @ X25 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl289,zip_derived_cl644]) ).

thf('93',plain,
    ( ~ ( c0_1 @ a2087 )
    | ( c1_1 @ a2087 )
    | ~ ! [X25: $i] :
          ( ( c1_1 @ X25 )
          | ( c3_1 @ X25 )
          | ~ ( c0_1 @ X25 ) )
    | ( c3_1 @ a2087 ) ),
    inference(split,[status(esa)],[zip_derived_cl1099]) ).

thf(zip_derived_cl149,plain,
    ( ~ hskp11
    | ( c0_1 @ a2093 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('94',plain,
    ( ( c0_1 @ a2093 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl150,plain,
    ( ~ hskp11
    | ~ ( c1_1 @ a2093 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('95',plain,
    ( ~ ( c1_1 @ a2093 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf(zip_derived_cl151,plain,
    ( ~ hskp11
    | ~ ( c3_1 @ a2093 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('96',plain,
    ( ~ ( c3_1 @ a2093 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl289_045,plain,
    ( ! [X25: $i] :
        ( ( c1_1 @ X25 )
        | ( c3_1 @ X25 )
        | ~ ( c0_1 @ X25 ) )
   <= ! [X25: $i] :
        ( ( c1_1 @ X25 )
        | ( c3_1 @ X25 )
        | ~ ( c0_1 @ X25 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl636,plain,
    ( ~ ( c1_1 @ a2093 )
   <= ~ ( c1_1 @ a2093 ) ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf(zip_derived_cl1100,plain,
    ( ( ~ ( c0_1 @ a2093 )
      | ( c3_1 @ a2093 ) )
   <= ( ~ ( c1_1 @ a2093 )
      & ! [X25: $i] :
          ( ( c1_1 @ X25 )
          | ( c3_1 @ X25 )
          | ~ ( c0_1 @ X25 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl289,zip_derived_cl636]) ).

thf('97',plain,
    ( ( c1_1 @ a2093 )
    | ( c3_1 @ a2093 )
    | ~ ! [X25: $i] :
          ( ( c1_1 @ X25 )
          | ( c3_1 @ X25 )
          | ~ ( c0_1 @ X25 ) )
    | ~ ( c0_1 @ a2093 ) ),
    inference(split,[status(esa)],[zip_derived_cl1100]) ).

thf(zip_derived_cl27,plain,
    ! [X26: $i] :
      ( ( c1_1 @ X26 )
      | ( c3_1 @ X26 )
      | ~ ( c0_1 @ X26 )
      | ~ ndr1_0
      | hskp1
      | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('98',plain,
    ( ! [X25: $i] :
        ( ( c1_1 @ X25 )
        | ( c3_1 @ X25 )
        | ~ ( c0_1 @ X25 ) )
    | hskp8
    | hskp1
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl289_046,plain,
    ( ! [X25: $i] :
        ( ( c1_1 @ X25 )
        | ( c3_1 @ X25 )
        | ~ ( c0_1 @ X25 ) )
   <= ! [X25: $i] :
        ( ( c1_1 @ X25 )
        | ( c3_1 @ X25 )
        | ~ ( c0_1 @ X25 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl590_047,plain,
    ( ~ ( c1_1 @ a2110 )
   <= ~ ( c1_1 @ a2110 ) ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl1104,plain,
    ( ( ~ ( c0_1 @ a2110 )
      | ( c3_1 @ a2110 ) )
   <= ( ~ ( c1_1 @ a2110 )
      & ! [X25: $i] :
          ( ( c1_1 @ X25 )
          | ( c3_1 @ X25 )
          | ~ ( c0_1 @ X25 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl289,zip_derived_cl590]) ).

thf('99',plain,
    ( ( c3_1 @ a2110 )
    | ( c1_1 @ a2110 )
    | ~ ! [X25: $i] :
          ( ( c1_1 @ X25 )
          | ( c3_1 @ X25 )
          | ~ ( c0_1 @ X25 ) )
    | ~ ( c0_1 @ a2110 ) ),
    inference(split,[status(esa)],[zip_derived_cl1104]) ).

thf(zip_derived_cl99,plain,
    ( ~ hskp24
    | ~ ( c3_1 @ a2160 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl534,plain,
    ( ~ ( c3_1 @ a2160 )
   <= ~ ( c3_1 @ a2160 ) ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl234_048,plain,
    ( ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl776,plain,
    ( ( ~ ( c0_1 @ a2160 )
      | ~ ( c2_1 @ a2160 ) )
   <= ( ~ ( c3_1 @ a2160 )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c2_1 @ X4 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl534,zip_derived_cl234]) ).

thf('100',plain,
    ( ~ ( c2_1 @ a2160 )
    | ( c3_1 @ a2160 )
    | ~ ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
    | ~ ( c0_1 @ a2160 ) ),
    inference(split,[status(esa)],[zip_derived_cl776]) ).

thf(zip_derived_cl626_049,plain,
    ( ( c1_1 @ a2095 )
   <= ( c1_1 @ a2095 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl349_050,plain,
    ( ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c1_1 @ X50 )
        | ~ ( c3_1 @ X50 ) )
   <= ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c1_1 @ X50 )
        | ~ ( c3_1 @ X50 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl1661,plain,
    ( ( ( c0_1 @ a2095 )
      | ~ ( c3_1 @ a2095 ) )
   <= ( ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ~ ( c1_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
      & ( c1_1 @ a2095 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl626,zip_derived_cl349]) ).

thf('101',plain,
    ( ~ ( c3_1 @ a2095 )
    | ( c0_1 @ a2095 )
    | ~ ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ~ ( c1_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
    | ~ ( c1_1 @ a2095 ) ),
    inference(split,[status(esa)],[zip_derived_cl1661]) ).

thf(zip_derived_cl626_051,plain,
    ( ( c1_1 @ a2095 )
   <= ( c1_1 @ a2095 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl281_052,plain,
    ( ! [X22: $i] :
        ( ( c2_1 @ X22 )
        | ( c3_1 @ X22 )
        | ~ ( c1_1 @ X22 ) )
   <= ! [X22: $i] :
        ( ( c2_1 @ X22 )
        | ( c3_1 @ X22 )
        | ~ ( c1_1 @ X22 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl1502,plain,
    ( ( ( c2_1 @ a2095 )
      | ( c3_1 @ a2095 ) )
   <= ( ! [X22: $i] :
          ( ( c2_1 @ X22 )
          | ( c3_1 @ X22 )
          | ~ ( c1_1 @ X22 ) )
      & ( c1_1 @ a2095 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl626,zip_derived_cl281]) ).

thf('102',plain,
    ( ( c3_1 @ a2095 )
    | ~ ( c1_1 @ a2095 )
    | ~ ! [X22: $i] :
          ( ( c2_1 @ X22 )
          | ( c3_1 @ X22 )
          | ~ ( c1_1 @ X22 ) )
    | ( c2_1 @ a2095 ) ),
    inference(split,[status(esa)],[zip_derived_cl1502]) ).

thf('103',plain,
    ( ! [X22: $i] :
        ( ( c2_1 @ X22 )
        | ( c3_1 @ X22 )
        | ~ ( c1_1 @ X22 ) )
    | ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c3_1 @ X19 ) )
    | hskp8
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl273_053,plain,
    ( ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c3_1 @ X19 ) )
   <= ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c3_1 @ X19 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl590_054,plain,
    ( ~ ( c1_1 @ a2110 )
   <= ~ ( c1_1 @ a2110 ) ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl1000,plain,
    ( ( ~ ( c3_1 @ a2110 )
      | ~ ( c0_1 @ a2110 ) )
   <= ( ~ ( c1_1 @ a2110 )
      & ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c0_1 @ X19 )
          | ~ ( c3_1 @ X19 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl273,zip_derived_cl590]) ).

thf('104',plain,
    ( ~ ( c3_1 @ a2110 )
    | ( c1_1 @ a2110 )
    | ~ ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c0_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
    | ~ ( c0_1 @ a2110 ) ),
    inference(split,[status(esa)],[zip_derived_cl1000]) ).

thf(zip_derived_cl55,plain,
    ! [X76: $i,X77: $i] :
      ( ( c0_1 @ X76 )
      | ( c2_1 @ X76 )
      | ~ ( c3_1 @ X76 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X77 )
      | ~ ( c2_1 @ X77 )
      | ~ ( c3_1 @ X77 )
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('105',plain,
    ( hskp10
    | ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c2_1 @ X75 )
        | ~ ( c3_1 @ X75 ) )
    | ! [X29: $i] :
        ( ~ ( c0_1 @ X29 )
        | ~ ( c2_1 @ X29 )
        | ~ ( c3_1 @ X29 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf(zip_derived_cl945,plain,
    ( ~ ( c3_1 @ a2110 )
   <= ~ ( c3_1 @ a2110 ) ),
    inference(split,[status(esa)],[zip_derived_cl891]) ).

thf(zip_derived_cl234_055,plain,
    ( ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl947,plain,
    ( ( ~ ( c0_1 @ a2110 )
      | ~ ( c2_1 @ a2110 ) )
   <= ( ~ ( c3_1 @ a2110 )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c2_1 @ X4 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl945,zip_derived_cl234]) ).

thf('106',plain,
    ( ( c3_1 @ a2110 )
    | ~ ( c0_1 @ a2110 )
    | ~ ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
    | ~ ( c2_1 @ a2110 ) ),
    inference(split,[status(esa)],[zip_derived_cl947]) ).

thf(zip_derived_cl125,plain,
    ( ~ hskp17
    | ( c0_1 @ a2110 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl586,plain,
    ( ( c0_1 @ a2110 )
   <= ( c0_1 @ a2110 ) ),
    inference(split,[status(esa)],[zip_derived_cl125]) ).

thf(zip_derived_cl234_056,plain,
    ( ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl297,plain,
    ( ! [X29: $i] :
        ( ~ ( c0_1 @ X29 )
        | ~ ( c2_1 @ X29 )
        | ~ ( c3_1 @ X29 ) )
   <= ! [X29: $i] :
        ( ~ ( c0_1 @ X29 )
        | ~ ( c2_1 @ X29 )
        | ~ ( c3_1 @ X29 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl1150,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
      & ! [X29: $i] :
          ( ~ ( c0_1 @ X29 )
          | ~ ( c2_1 @ X29 )
          | ~ ( c3_1 @ X29 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl234,zip_derived_cl297]) ).

thf(zip_derived_cl1152,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
      & ! [X29: $i] :
          ( ~ ( c0_1 @ X29 )
          | ~ ( c2_1 @ X29 )
          | ~ ( c3_1 @ X29 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1150]) ).

thf(zip_derived_cl1430,plain,
    ( ~ ( c2_1 @ a2110 )
   <= ( ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
      & ! [X29: $i] :
          ( ~ ( c0_1 @ X29 )
          | ~ ( c2_1 @ X29 )
          | ~ ( c3_1 @ X29 ) )
      & ( c0_1 @ a2110 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl586,zip_derived_cl1152]) ).

thf(zip_derived_cl126,plain,
    ( ~ hskp17
    | ( c2_1 @ a2110 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl588,plain,
    ( ( c2_1 @ a2110 )
   <= ( c2_1 @ a2110 ) ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf('107',plain,
    ( ~ ! [X29: $i] :
          ( ~ ( c0_1 @ X29 )
          | ~ ( c2_1 @ X29 )
          | ~ ( c3_1 @ X29 ) )
    | ~ ( c0_1 @ a2110 )
    | ~ ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
    | ~ ( c2_1 @ a2110 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1430,zip_derived_cl588]) ).

thf('108',plain,
    ( ( c1_1 @ a2095 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl146,plain,
    ( ~ hskp12
    | ~ ( c0_1 @ a2095 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('109',plain,
    ( ~ ( c0_1 @ a2095 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf(zip_derived_cl147,plain,
    ( ~ hskp12
    | ~ ( c2_1 @ a2095 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('110',plain,
    ( ~ ( c2_1 @ a2095 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf('111',plain,
    ( ( c0_1 @ a2110 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl125]) ).

thf('112',plain,
    ( ( c2_1 @ a2110 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf('113',plain,
    ( ~ ( c1_1 @ a2110 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl1,plain,
    ( hskp24
    | hskp12
    | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('114',plain,
    ( hskp10
    | hskp12
    | hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl6,plain,
    ( hskp17
    | hskp2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('115',plain,
    ( hskp17
    | hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl155,plain,
    ( ~ hskp10
    | ~ ( c3_1 @ a2087 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl646,plain,
    ( ~ ( c3_1 @ a2087 )
   <= ~ ( c3_1 @ a2087 ) ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf(zip_derived_cl234_057,plain,
    ( ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl816,plain,
    ( ( ~ ( c0_1 @ a2087 )
      | ~ ( c2_1 @ a2087 ) )
   <= ( ~ ( c3_1 @ a2087 )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c2_1 @ X4 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl646,zip_derived_cl234]) ).

thf('116',plain,
    ( ~ ( c0_1 @ a2087 )
    | ~ ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
    | ( c3_1 @ a2087 )
    | ~ ( c2_1 @ a2087 ) ),
    inference(split,[status(esa)],[zip_derived_cl816]) ).

thf(zip_derived_cl153,plain,
    ( ~ hskp10
    | ( c2_1 @ a2087 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('117',plain,
    ( ( c2_1 @ a2087 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf('118',plain,
    ( ~ ( c3_1 @ a2087 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf(zip_derived_cl372_058,plain,
    ( ! [X61: $i] :
        ( ( c0_1 @ X61 )
        | ( c3_1 @ X61 )
        | ~ ( c2_1 @ X61 ) )
   <= ! [X61: $i] :
        ( ( c0_1 @ X61 )
        | ( c3_1 @ X61 )
        | ~ ( c2_1 @ X61 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(zip_derived_cl646_059,plain,
    ( ~ ( c3_1 @ a2087 )
   <= ~ ( c3_1 @ a2087 ) ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf(zip_derived_cl1763,plain,
    ( ( ~ ( c2_1 @ a2087 )
      | ( c0_1 @ a2087 ) )
   <= ( ~ ( c3_1 @ a2087 )
      & ! [X61: $i] :
          ( ( c0_1 @ X61 )
          | ( c3_1 @ X61 )
          | ~ ( c2_1 @ X61 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl372,zip_derived_cl646]) ).

thf('119',plain,
    ( ~ ! [X61: $i] :
          ( ( c0_1 @ X61 )
          | ( c3_1 @ X61 )
          | ~ ( c2_1 @ X61 ) )
    | ( c0_1 @ a2087 )
    | ( c3_1 @ a2087 )
    | ~ ( c2_1 @ a2087 ) ),
    inference(split,[status(esa)],[zip_derived_cl1763]) ).

thf(zip_derived_cl185,plain,
    ( ~ hskp2
    | ( c0_1 @ a2071 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('120',plain,
    ( ( c0_1 @ a2071 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl185]) ).

thf(zip_derived_cl186,plain,
    ( ~ hskp2
    | ( c2_1 @ a2071 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('121',plain,
    ( ( c2_1 @ a2071 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl186]) ).

thf(zip_derived_cl187,plain,
    ( ~ hskp2
    | ~ ( c3_1 @ a2071 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('122',plain,
    ( ~ ( c3_1 @ a2071 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl187]) ).

thf(zip_derived_cl710,plain,
    ( ~ ( c3_1 @ a2071 )
   <= ~ ( c3_1 @ a2071 ) ),
    inference(split,[status(esa)],[zip_derived_cl187]) ).

thf(zip_derived_cl234_060,plain,
    ( ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl834,plain,
    ( ( ~ ( c0_1 @ a2071 )
      | ~ ( c2_1 @ a2071 ) )
   <= ( ~ ( c3_1 @ a2071 )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c2_1 @ X4 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl710,zip_derived_cl234]) ).

thf('123',plain,
    ( ~ ( c2_1 @ a2071 )
    | ( c3_1 @ a2071 )
    | ~ ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
    | ~ ( c0_1 @ a2071 ) ),
    inference(split,[status(esa)],[zip_derived_cl834]) ).

thf(zip_derived_cl658_061,plain,
    ( ( c1_1 @ a2082 )
   <= ( c1_1 @ a2082 ) ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl222_062,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl1539,plain,
    ( ( ~ ( c0_1 @ a2082 )
      | ~ ( c3_1 @ a2082 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c1_1 @ a2082 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl658,zip_derived_cl222]) ).

thf(zip_derived_cl2428,plain,
    ( ~ ( c3_1 @ a2082 )
   <= ~ ( c3_1 @ a2082 ) ),
    inference(split,[status(esa)],[zip_derived_cl1539]) ).

thf(zip_derived_cl372_063,plain,
    ( ! [X61: $i] :
        ( ( c0_1 @ X61 )
        | ( c3_1 @ X61 )
        | ~ ( c2_1 @ X61 ) )
   <= ! [X61: $i] :
        ( ( c0_1 @ X61 )
        | ( c3_1 @ X61 )
        | ~ ( c2_1 @ X61 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(zip_derived_cl2432,plain,
    ( ( ( c0_1 @ a2082 )
      | ~ ( c2_1 @ a2082 ) )
   <= ( ~ ( c3_1 @ a2082 )
      & ! [X61: $i] :
          ( ( c0_1 @ X61 )
          | ( c3_1 @ X61 )
          | ~ ( c2_1 @ X61 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2428,zip_derived_cl372]) ).

thf('124',plain,
    ( ( c3_1 @ a2082 )
    | ~ ! [X61: $i] :
          ( ( c0_1 @ X61 )
          | ( c3_1 @ X61 )
          | ~ ( c2_1 @ X61 ) )
    | ( c0_1 @ a2082 )
    | ~ ( c2_1 @ a2082 ) ),
    inference(split,[status(esa)],[zip_derived_cl2432]) ).

thf(zip_derived_cl162,plain,
    ( ~ hskp8
    | ( c2_1 @ a2082 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('125',plain,
    ( ( c2_1 @ a2082 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf(zip_derived_cl163,plain,
    ( ~ hskp8
    | ~ ( c0_1 @ a2082 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('126',plain,
    ( ~ ( c0_1 @ a2082 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl658_064,plain,
    ( ( c1_1 @ a2082 )
   <= ( c1_1 @ a2082 ) ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl249,plain,
    ( ! [X9: $i] :
        ( ( c3_1 @ X9 )
        | ~ ( c1_1 @ X9 )
        | ~ ( c2_1 @ X9 ) )
   <= ! [X9: $i] :
        ( ( c3_1 @ X9 )
        | ~ ( c1_1 @ X9 )
        | ~ ( c2_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl1542,plain,
    ( ( ( c3_1 @ a2082 )
      | ~ ( c2_1 @ a2082 ) )
   <= ( ! [X9: $i] :
          ( ( c3_1 @ X9 )
          | ~ ( c1_1 @ X9 )
          | ~ ( c2_1 @ X9 ) )
      & ( c1_1 @ a2082 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl658,zip_derived_cl249]) ).

thf(zip_derived_cl5178,plain,
    ( ( c3_1 @ a2082 )
   <= ( c3_1 @ a2082 ) ),
    inference(split,[status(esa)],[zip_derived_cl1542]) ).

thf(zip_derived_cl329_065,plain,
    ( ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c2_1 @ X42 )
        | ~ ( c3_1 @ X42 ) )
   <= ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c2_1 @ X42 )
        | ~ ( c3_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl5204,plain,
    ( ( ( c0_1 @ a2082 )
      | ~ ( c2_1 @ a2082 ) )
   <= ( ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ~ ( c2_1 @ X42 )
          | ~ ( c3_1 @ X42 ) )
      & ( c3_1 @ a2082 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl5178,zip_derived_cl329]) ).

thf('127',plain,
    ( ~ ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ~ ( c2_1 @ X42 )
          | ~ ( c3_1 @ X42 ) )
    | ~ ( c3_1 @ a2082 )
    | ( c0_1 @ a2082 )
    | ~ ( c2_1 @ a2082 ) ),
    inference(split,[status(esa)],[zip_derived_cl5204]) ).

thf('128',plain,
    ( hskp22
    | ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl105,plain,
    ( ~ hskp22
    | ( c2_1 @ a2140 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('129',plain,
    ( ( c2_1 @ a2140 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl105]) ).

thf(zip_derived_cl106,plain,
    ( ~ hskp22
    | ( c3_1 @ a2140 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('130',plain,
    ( ( c3_1 @ a2140 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(zip_derived_cl107,plain,
    ( ~ hskp22
    | ~ ( c0_1 @ a2140 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('131',plain,
    ( ~ ( c0_1 @ a2140 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl107]) ).

thf(zip_derived_cl548,plain,
    ( ( c3_1 @ a2140 )
   <= ( c3_1 @ a2140 ) ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(zip_derived_cl329_066,plain,
    ( ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c2_1 @ X42 )
        | ~ ( c3_1 @ X42 ) )
   <= ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c2_1 @ X42 )
        | ~ ( c3_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl1521,plain,
    ( ( ( c0_1 @ a2140 )
      | ~ ( c2_1 @ a2140 ) )
   <= ( ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ~ ( c2_1 @ X42 )
          | ~ ( c3_1 @ X42 ) )
      & ( c3_1 @ a2140 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl548,zip_derived_cl329]) ).

thf('132',plain,
    ( ~ ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ~ ( c2_1 @ X42 )
          | ~ ( c3_1 @ X42 ) )
    | ~ ( c3_1 @ a2140 )
    | ( c0_1 @ a2140 )
    | ~ ( c2_1 @ a2140 ) ),
    inference(split,[status(esa)],[zip_derived_cl1521]) ).

thf(zip_derived_cl652_067,plain,
    ( ( c3_1 @ a2084 )
   <= ( c3_1 @ a2084 ) ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl297_068,plain,
    ( ! [X29: $i] :
        ( ~ ( c0_1 @ X29 )
        | ~ ( c2_1 @ X29 )
        | ~ ( c3_1 @ X29 ) )
   <= ! [X29: $i] :
        ( ~ ( c0_1 @ X29 )
        | ~ ( c2_1 @ X29 )
        | ~ ( c3_1 @ X29 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl1533,plain,
    ( ( ~ ( c0_1 @ a2084 )
      | ~ ( c2_1 @ a2084 ) )
   <= ( ! [X29: $i] :
          ( ~ ( c0_1 @ X29 )
          | ~ ( c2_1 @ X29 )
          | ~ ( c3_1 @ X29 ) )
      & ( c3_1 @ a2084 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl652,zip_derived_cl297]) ).

thf('133',plain,
    ( ~ ( c0_1 @ a2084 )
    | ~ ( c3_1 @ a2084 )
    | ~ ! [X29: $i] :
          ( ~ ( c0_1 @ X29 )
          | ~ ( c2_1 @ X29 )
          | ~ ( c3_1 @ X29 ) )
    | ~ ( c2_1 @ a2084 ) ),
    inference(split,[status(esa)],[zip_derived_cl1533]) ).

thf(zip_derived_cl38,plain,
    ! [X44: $i,X45: $i] :
      ( ( c0_1 @ X44 )
      | ~ ( c2_1 @ X44 )
      | ~ ( c3_1 @ X44 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X45 )
      | ~ ( c1_1 @ X45 )
      | ~ ( c2_1 @ X45 )
      | ~ ndr1_0
      | hskp26 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('134',plain,
    ( hskp26
    | ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c2_1 @ X1 ) )
    | ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c2_1 @ X42 )
        | ~ ( c3_1 @ X42 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl190,plain,
    ( ~ hskp1
    | ( c3_1 @ a2070 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl716,plain,
    ( ( c3_1 @ a2070 )
   <= ( c3_1 @ a2070 ) ),
    inference(split,[status(esa)],[zip_derived_cl190]) ).

thf(zip_derived_cl273_069,plain,
    ( ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c3_1 @ X19 ) )
   <= ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c3_1 @ X19 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl222_070,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl987,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c0_1 @ X19 )
          | ~ ( c3_1 @ X19 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl273,zip_derived_cl222]) ).

thf(zip_derived_cl1014,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c0_1 @ X19 )
          | ~ ( c3_1 @ X19 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl987]) ).

thf(zip_derived_cl1625,plain,
    ( ~ ( c0_1 @ a2070 )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c0_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
      & ( c3_1 @ a2070 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl716,zip_derived_cl1014]) ).

thf(zip_derived_cl189,plain,
    ( ~ hskp1
    | ( c0_1 @ a2070 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl714,plain,
    ( ( c0_1 @ a2070 )
   <= ( c0_1 @ a2070 ) ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf('135',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c0_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
    | ~ ( c3_1 @ a2070 )
    | ~ ( c0_1 @ a2070 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1625,zip_derived_cl714]) ).

thf(zip_derived_cl191,plain,
    ( ~ hskp1
    | ~ ( c2_1 @ a2070 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('136',plain,
    ( ~ ( c2_1 @ a2070 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl191]) ).

thf(zip_derived_cl716_071,plain,
    ( ( c3_1 @ a2070 )
   <= ( c3_1 @ a2070 ) ),
    inference(split,[status(esa)],[zip_derived_cl190]) ).

thf(zip_derived_cl230_072,plain,
    ( ! [X2: $i] :
        ( ( c2_1 @ X2 )
        | ~ ( c0_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ( c2_1 @ X2 )
        | ~ ( c0_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl1627,plain,
    ( ( ( c2_1 @ a2070 )
      | ~ ( c0_1 @ a2070 ) )
   <= ( ! [X2: $i] :
          ( ( c2_1 @ X2 )
          | ~ ( c0_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ( c3_1 @ a2070 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl716,zip_derived_cl230]) ).

thf('137',plain,
    ( ~ ( c0_1 @ a2070 )
    | ( c2_1 @ a2070 )
    | ~ ! [X2: $i] :
          ( ( c2_1 @ X2 )
          | ~ ( c0_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ~ ( c3_1 @ a2070 ) ),
    inference(split,[status(esa)],[zip_derived_cl1627]) ).

thf('138',plain,
    ( ( c0_1 @ a2070 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf('139',plain,
    ( ( c3_1 @ a2070 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl190]) ).

thf(zip_derived_cl51,plain,
    ! [X69: $i,X70: $i] :
      ( ( c0_1 @ X69 )
      | ( c3_1 @ X69 )
      | ~ ( c2_1 @ X69 )
      | ~ ndr1_0
      | ( c0_1 @ X70 )
      | ~ ( c1_1 @ X70 )
      | ~ ( c2_1 @ X70 )
      | ~ ndr1_0
      | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('140',plain,
    ( ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ~ ( c1_1 @ X57 )
        | ~ ( c2_1 @ X57 ) )
    | hskp1
    | ~ ndr1_0
    | ! [X61: $i] :
        ( ( c0_1 @ X61 )
        | ( c3_1 @ X61 )
        | ~ ( c2_1 @ X61 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf(zip_derived_cl97,plain,
    ( ~ hskp24
    | ( c1_1 @ a2160 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl530,plain,
    ( ( c1_1 @ a2160 )
   <= ( c1_1 @ a2160 ) ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(zip_derived_cl365_073,plain,
    ( ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ~ ( c1_1 @ X57 )
        | ~ ( c2_1 @ X57 ) )
   <= ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ~ ( c1_1 @ X57 )
        | ~ ( c2_1 @ X57 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl1696,plain,
    ( ( ( c0_1 @ a2160 )
      | ~ ( c2_1 @ a2160 ) )
   <= ( ! [X57: $i] :
          ( ( c0_1 @ X57 )
          | ~ ( c1_1 @ X57 )
          | ~ ( c2_1 @ X57 ) )
      & ( c1_1 @ a2160 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl530,zip_derived_cl365]) ).

thf('141',plain,
    ( ( c0_1 @ a2160 )
    | ~ ( c2_1 @ a2160 )
    | ~ ! [X57: $i] :
          ( ( c0_1 @ X57 )
          | ~ ( c1_1 @ X57 )
          | ~ ( c2_1 @ X57 ) )
    | ~ ( c1_1 @ a2160 ) ),
    inference(split,[status(esa)],[zip_derived_cl1696]) ).

thf(zip_derived_cl372_074,plain,
    ( ! [X61: $i] :
        ( ( c0_1 @ X61 )
        | ( c3_1 @ X61 )
        | ~ ( c2_1 @ X61 ) )
   <= ! [X61: $i] :
        ( ( c0_1 @ X61 )
        | ( c3_1 @ X61 )
        | ~ ( c2_1 @ X61 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(zip_derived_cl534_075,plain,
    ( ~ ( c3_1 @ a2160 )
   <= ~ ( c3_1 @ a2160 ) ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl1774,plain,
    ( ( ~ ( c2_1 @ a2160 )
      | ( c0_1 @ a2160 ) )
   <= ( ~ ( c3_1 @ a2160 )
      & ! [X61: $i] :
          ( ( c0_1 @ X61 )
          | ( c3_1 @ X61 )
          | ~ ( c2_1 @ X61 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl372,zip_derived_cl534]) ).

thf('142',plain,
    ( ( c0_1 @ a2160 )
    | ( c3_1 @ a2160 )
    | ~ ! [X61: $i] :
          ( ( c0_1 @ X61 )
          | ( c3_1 @ X61 )
          | ~ ( c2_1 @ X61 ) )
    | ~ ( c2_1 @ a2160 ) ),
    inference(split,[status(esa)],[zip_derived_cl1774]) ).

thf('143',plain,
    ( ~ ( c3_1 @ a2160 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl530_076,plain,
    ( ( c1_1 @ a2160 )
   <= ( c1_1 @ a2160 ) ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(zip_derived_cl226_077,plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c2_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c2_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl1340,plain,
    ( ( ~ ( c0_1 @ a2160 )
      | ~ ( c2_1 @ a2160 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c2_1 @ X1 ) )
      & ( c1_1 @ a2160 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl530,zip_derived_cl226]) ).

thf('144',plain,
    ( ~ ( c0_1 @ a2160 )
    | ~ ( c1_1 @ a2160 )
    | ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c2_1 @ X1 ) )
    | ~ ( c2_1 @ a2160 ) ),
    inference(split,[status(esa)],[zip_derived_cl1340]) ).

thf('145',plain,
    ( ( c1_1 @ a2160 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(zip_derived_cl98,plain,
    ( ~ hskp24
    | ( c2_1 @ a2160 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('146',plain,
    ( ( c2_1 @ a2160 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf(zip_derived_cl4,plain,
    ( hskp23
    | hskp24
    | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('147',plain,
    ( hskp24
    | hskp5
    | hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf(zip_derived_cl23,plain,
    ! [X20: $i] :
      ( ( c1_1 @ X20 )
      | ~ ( c0_1 @ X20 )
      | ~ ( c3_1 @ X20 )
      | ~ ndr1_0
      | hskp26
      | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('148',plain,
    ( hskp26
    | ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c3_1 @ X19 ) )
    | hskp5
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf('149',plain,
    ( ( c1_1 @ a2076 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl173]) ).

thf('150',plain,
    ( ( c3_1 @ a2076 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf(zip_derived_cl175,plain,
    ( ~ hskp5
    | ~ ( c0_1 @ a2076 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('151',plain,
    ( ~ ( c0_1 @ a2076 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl682_078,plain,
    ( ( c1_1 @ a2076 )
   <= ( c1_1 @ a2076 ) ),
    inference(split,[status(esa)],[zip_derived_cl173]) ).

thf(zip_derived_cl349_079,plain,
    ( ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c1_1 @ X50 )
        | ~ ( c3_1 @ X50 ) )
   <= ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c1_1 @ X50 )
        | ~ ( c3_1 @ X50 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl1658,plain,
    ( ( ( c0_1 @ a2076 )
      | ~ ( c3_1 @ a2076 ) )
   <= ( ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ~ ( c1_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
      & ( c1_1 @ a2076 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl682,zip_derived_cl349]) ).

thf('152',plain,
    ( ~ ( c1_1 @ a2076 )
    | ( c0_1 @ a2076 )
    | ~ ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ~ ( c1_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
    | ~ ( c3_1 @ a2076 ) ),
    inference(split,[status(esa)],[zip_derived_cl1658]) ).

thf('153',plain,
    ( hskp0
    | ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c1_1 @ X50 )
        | ~ ( c3_1 @ X50 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl193,plain,
    ( ~ hskp0
    | ( c3_1 @ a2068 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('154',plain,
    ( ( c3_1 @ a2068 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl193]) ).

thf(zip_derived_cl194,plain,
    ( ~ hskp0
    | ~ ( c0_1 @ a2068 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('155',plain,
    ( ~ ( c0_1 @ a2068 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl194]) ).

thf(zip_derived_cl195,plain,
    ( ~ hskp0
    | ~ ( c2_1 @ a2068 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('156',plain,
    ( ~ ( c2_1 @ a2068 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl195]) ).

thf(zip_derived_cl722,plain,
    ( ( c3_1 @ a2068 )
   <= ( c3_1 @ a2068 ) ),
    inference(split,[status(esa)],[zip_derived_cl193]) ).

thf(zip_derived_cl400_080,plain,
    ( ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c2_1 @ X75 )
        | ~ ( c3_1 @ X75 ) )
   <= ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c2_1 @ X75 )
        | ~ ( c3_1 @ X75 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf(zip_derived_cl1878,plain,
    ( ( ( c0_1 @ a2068 )
      | ( c2_1 @ a2068 ) )
   <= ( ! [X75: $i] :
          ( ( c0_1 @ X75 )
          | ( c2_1 @ X75 )
          | ~ ( c3_1 @ X75 ) )
      & ( c3_1 @ a2068 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl722,zip_derived_cl400]) ).

thf('157',plain,
    ( ~ ! [X75: $i] :
          ( ( c0_1 @ X75 )
          | ( c2_1 @ X75 )
          | ~ ( c3_1 @ X75 ) )
    | ~ ( c3_1 @ a2068 )
    | ( c0_1 @ a2068 )
    | ( c2_1 @ a2068 ) ),
    inference(split,[status(esa)],[zip_derived_cl1878]) ).

thf(zip_derived_cl87,plain,
    ( ~ hskp27
    | ( c3_1 @ a2073 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl510,plain,
    ( ( c3_1 @ a2073 )
   <= ( c3_1 @ a2073 ) ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl297_081,plain,
    ( ! [X29: $i] :
        ( ~ ( c0_1 @ X29 )
        | ~ ( c2_1 @ X29 )
        | ~ ( c3_1 @ X29 ) )
   <= ! [X29: $i] :
        ( ~ ( c0_1 @ X29 )
        | ~ ( c2_1 @ X29 )
        | ~ ( c3_1 @ X29 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl1315,plain,
    ( ( ~ ( c0_1 @ a2073 )
      | ~ ( c2_1 @ a2073 ) )
   <= ( ! [X29: $i] :
          ( ~ ( c0_1 @ X29 )
          | ~ ( c2_1 @ X29 )
          | ~ ( c3_1 @ X29 ) )
      & ( c3_1 @ a2073 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl510,zip_derived_cl297]) ).

thf('158',plain,
    ( ~ ( c2_1 @ a2073 )
    | ~ ( c3_1 @ a2073 )
    | ~ ! [X29: $i] :
          ( ~ ( c0_1 @ X29 )
          | ~ ( c2_1 @ X29 )
          | ~ ( c3_1 @ X29 ) )
    | ~ ( c0_1 @ a2073 ) ),
    inference(split,[status(esa)],[zip_derived_cl1315]) ).

thf(zip_derived_cl85,plain,
    ( ~ hskp27
    | ( c0_1 @ a2073 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('159',plain,
    ( ( c0_1 @ a2073 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf('160',plain,
    ( ( c1_1 @ a2073 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf('161',plain,
    ( ( c3_1 @ a2073 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf('162',plain,
    ( hskp7
    | hskp27
    | ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c2_1 @ X75 )
        | ~ ( c3_1 @ X75 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf(zip_derived_cl668_082,plain,
    ( ( c1_1 @ a2079 )
   <= ( c1_1 @ a2079 ) ),
    inference(split,[status(esa)],[zip_derived_cl166]) ).

thf(zip_derived_cl226_083,plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c2_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c2_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl1559,plain,
    ( ( ~ ( c0_1 @ a2079 )
      | ~ ( c2_1 @ a2079 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c2_1 @ X1 ) )
      & ( c1_1 @ a2079 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl668,zip_derived_cl226]) ).

thf('163',plain,
    ( ~ ( c2_1 @ a2079 )
    | ~ ( c0_1 @ a2079 )
    | ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c2_1 @ X1 ) )
    | ~ ( c1_1 @ a2079 ) ),
    inference(split,[status(esa)],[zip_derived_cl1559]) ).

thf(zip_derived_cl165,plain,
    ( ~ hskp7
    | ( c0_1 @ a2079 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('164',plain,
    ( ( c0_1 @ a2079 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl668_084,plain,
    ( ( c1_1 @ a2079 )
   <= ( c1_1 @ a2079 ) ),
    inference(split,[status(esa)],[zip_derived_cl166]) ).

thf(zip_derived_cl238_085,plain,
    ( ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl1560,plain,
    ( ( ( c2_1 @ a2079 )
      | ~ ( c0_1 @ a2079 ) )
   <= ( ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c1_1 @ X5 ) )
      & ( c1_1 @ a2079 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl668,zip_derived_cl238]) ).

thf('165',plain,
    ( ( c2_1 @ a2079 )
    | ~ ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c1_1 @ X5 ) )
    | ~ ( c1_1 @ a2079 )
    | ~ ( c0_1 @ a2079 ) ),
    inference(split,[status(esa)],[zip_derived_cl1560]) ).

thf(zip_derived_cl508_086,plain,
    ( ( c1_1 @ a2073 )
   <= ( c1_1 @ a2073 ) ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf(zip_derived_cl238_087,plain,
    ( ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl1305,plain,
    ( ( ( c2_1 @ a2073 )
      | ~ ( c0_1 @ a2073 ) )
   <= ( ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c1_1 @ X5 ) )
      & ( c1_1 @ a2073 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl508,zip_derived_cl238]) ).

thf('166',plain,
    ( ( c2_1 @ a2073 )
    | ~ ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c1_1 @ X5 ) )
    | ~ ( c1_1 @ a2073 )
    | ~ ( c0_1 @ a2073 ) ),
    inference(split,[status(esa)],[zip_derived_cl1305]) ).

thf(zip_derived_cl100,plain,
    ( ~ hskp23
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('167',plain,
    ( ndr1_0
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl100]) ).

thf(zip_derived_cl124,plain,
    ( ~ hskp17
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('168',plain,
    ( ndr1_0
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl124]) ).

thf(zip_derived_cl188,plain,
    ( ~ hskp1
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('169',plain,
    ( ndr1_0
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl188]) ).

thf(zip_derived_cl5,plain,
    ( hskp17
    | hskp23
    | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('170',plain,
    ( hskp17
    | hskp23
    | hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf('171',plain,
    ( hskp7
    | ! [X95: $i] :
        ( ( c0_1 @ X95 )
        | ( c1_1 @ X95 )
        | ~ ( c3_1 @ X95 ) )
    | ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl64]) ).

thf('172',plain,
    ( hskp16
    | hskp7
    | ! [X2: $i] :
        ( ( c2_1 @ X2 )
        | ~ ( c0_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf('173',plain,
    ( ( c3_1 @ a2104 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf(zip_derived_cl130,plain,
    ( ~ hskp16
    | ~ ( c0_1 @ a2104 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('174',plain,
    ( ~ ( c0_1 @ a2104 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf('175',plain,
    ( ~ ( c1_1 @ a2104 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf(zip_derived_cl440_088,plain,
    ( ! [X95: $i] :
        ( ( c0_1 @ X95 )
        | ( c1_1 @ X95 )
        | ~ ( c3_1 @ X95 ) )
   <= ! [X95: $i] :
        ( ( c0_1 @ X95 )
        | ( c1_1 @ X95 )
        | ~ ( c3_1 @ X95 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl64]) ).

thf(zip_derived_cl598_089,plain,
    ( ~ ( c1_1 @ a2104 )
   <= ~ ( c1_1 @ a2104 ) ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf(zip_derived_cl1958,plain,
    ( ( ~ ( c3_1 @ a2104 )
      | ( c0_1 @ a2104 ) )
   <= ( ~ ( c1_1 @ a2104 )
      & ! [X95: $i] :
          ( ( c0_1 @ X95 )
          | ( c1_1 @ X95 )
          | ~ ( c3_1 @ X95 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl440,zip_derived_cl598]) ).

thf('176',plain,
    ( ~ ! [X95: $i] :
          ( ( c0_1 @ X95 )
          | ( c1_1 @ X95 )
          | ~ ( c3_1 @ X95 ) )
    | ( c0_1 @ a2104 )
    | ( c1_1 @ a2104 )
    | ~ ( c3_1 @ a2104 ) ),
    inference(split,[status(esa)],[zip_derived_cl1958]) ).

thf(zip_derived_cl364_090,plain,
    ( ! [X58: $i] :
        ( ( c1_1 @ X58 )
        | ( c3_1 @ X58 )
        | ~ ( c2_1 @ X58 ) )
   <= ! [X58: $i] :
        ( ( c1_1 @ X58 )
        | ( c3_1 @ X58 )
        | ~ ( c2_1 @ X58 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl590_091,plain,
    ( ~ ( c1_1 @ a2110 )
   <= ~ ( c1_1 @ a2110 ) ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl1728,plain,
    ( ( ~ ( c2_1 @ a2110 )
      | ( c3_1 @ a2110 ) )
   <= ( ~ ( c1_1 @ a2110 )
      & ! [X58: $i] :
          ( ( c1_1 @ X58 )
          | ( c3_1 @ X58 )
          | ~ ( c2_1 @ X58 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl364,zip_derived_cl590]) ).

thf('177',plain,
    ( ( c3_1 @ a2110 )
    | ~ ! [X58: $i] :
          ( ( c1_1 @ X58 )
          | ( c3_1 @ X58 )
          | ~ ( c2_1 @ X58 ) )
    | ( c1_1 @ a2110 )
    | ~ ( c2_1 @ a2110 ) ),
    inference(split,[status(esa)],[zip_derived_cl1728]) ).

thf(zip_derived_cl89,plain,
    ( ~ hskp26
    | ( c0_1 @ a2069 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('178',plain,
    ( ( c0_1 @ a2069 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf(zip_derived_cl90,plain,
    ( ~ hskp26
    | ( c2_1 @ a2069 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('179',plain,
    ( ( c2_1 @ a2069 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl91,plain,
    ( ~ hskp26
    | ( c3_1 @ a2069 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('180',plain,
    ( ( c3_1 @ a2069 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl518,plain,
    ( ( c3_1 @ a2069 )
   <= ( c3_1 @ a2069 ) ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl297_092,plain,
    ( ! [X29: $i] :
        ( ~ ( c0_1 @ X29 )
        | ~ ( c2_1 @ X29 )
        | ~ ( c3_1 @ X29 ) )
   <= ! [X29: $i] :
        ( ~ ( c0_1 @ X29 )
        | ~ ( c2_1 @ X29 )
        | ~ ( c3_1 @ X29 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl1329,plain,
    ( ( ~ ( c0_1 @ a2069 )
      | ~ ( c2_1 @ a2069 ) )
   <= ( ! [X29: $i] :
          ( ~ ( c0_1 @ X29 )
          | ~ ( c2_1 @ X29 )
          | ~ ( c3_1 @ X29 ) )
      & ( c3_1 @ a2069 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl518,zip_derived_cl297]) ).

thf('181',plain,
    ( ~ ! [X29: $i] :
          ( ~ ( c0_1 @ X29 )
          | ~ ( c2_1 @ X29 )
          | ~ ( c3_1 @ X29 ) )
    | ~ ( c0_1 @ a2069 )
    | ~ ( c3_1 @ a2069 )
    | ~ ( c2_1 @ a2069 ) ),
    inference(split,[status(esa)],[zip_derived_cl1329]) ).

thf(zip_derived_cl101,plain,
    ( ~ hskp23
    | ( c0_1 @ a2149 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('182',plain,
    ( ( c0_1 @ a2149 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf(zip_derived_cl102,plain,
    ( ~ hskp23
    | ( c3_1 @ a2149 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('183',plain,
    ( ( c3_1 @ a2149 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl102]) ).

thf(zip_derived_cl103,plain,
    ( ~ hskp23
    | ~ ( c1_1 @ a2149 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('184',plain,
    ( ~ ( c1_1 @ a2149 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl103]) ).

thf(zip_derived_cl273_093,plain,
    ( ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c3_1 @ X19 ) )
   <= ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c3_1 @ X19 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl542,plain,
    ( ~ ( c1_1 @ a2149 )
   <= ~ ( c1_1 @ a2149 ) ),
    inference(split,[status(esa)],[zip_derived_cl103]) ).

thf(zip_derived_cl1002,plain,
    ( ( ~ ( c3_1 @ a2149 )
      | ~ ( c0_1 @ a2149 ) )
   <= ( ~ ( c1_1 @ a2149 )
      & ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c0_1 @ X19 )
          | ~ ( c3_1 @ X19 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl273,zip_derived_cl542]) ).

thf('185',plain,
    ( ~ ( c3_1 @ a2149 )
    | ( c1_1 @ a2149 )
    | ~ ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c0_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
    | ~ ( c0_1 @ a2149 ) ),
    inference(split,[status(esa)],[zip_derived_cl1002]) ).

thf(zip_derived_cl518_094,plain,
    ( ( c3_1 @ a2069 )
   <= ( c3_1 @ a2069 ) ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl1014_095,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c0_1 @ X19 )
          | ~ ( c3_1 @ X19 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl987]) ).

thf(zip_derived_cl1326,plain,
    ( ~ ( c0_1 @ a2069 )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c0_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
      & ( c3_1 @ a2069 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl518,zip_derived_cl1014]) ).

thf(zip_derived_cl514,plain,
    ( ( c0_1 @ a2069 )
   <= ( c0_1 @ a2069 ) ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf('186',plain,
    ( ~ ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c0_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
    | ~ ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c3_1 @ a2069 )
    | ~ ( c0_1 @ a2069 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1326,zip_derived_cl514]) ).

thf('187',plain,
    ( ( c3_1 @ a2074 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl690_096,plain,
    ( ( c1_1 @ a2074 )
   <= ( c1_1 @ a2074 ) ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf(zip_derived_cl253_097,plain,
    ( ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c3_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c1_1 @ X11 )
        | ~ ( c3_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl1595,plain,
    ( ( ( c2_1 @ a2074 )
      | ~ ( c3_1 @ a2074 ) )
   <= ( ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c1_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
      & ( c1_1 @ a2074 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl690,zip_derived_cl253]) ).

thf('188',plain,
    ( ~ ( c1_1 @ a2074 )
    | ~ ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c1_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
    | ( c2_1 @ a2074 )
    | ~ ( c3_1 @ a2074 ) ),
    inference(split,[status(esa)],[zip_derived_cl1595]) ).

thf('189',plain,
    ( ( c1_1 @ a2074 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf(zip_derived_cl179,plain,
    ( ~ hskp4
    | ~ ( c2_1 @ a2074 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('190',plain,
    ( ~ ( c2_1 @ a2074 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl179]) ).

thf(zip_derived_cl690_098,plain,
    ( ( c1_1 @ a2074 )
   <= ( c1_1 @ a2074 ) ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf(zip_derived_cl417_099,plain,
    ( ! [X83: $i] :
        ( ( c0_1 @ X83 )
        | ( c2_1 @ X83 )
        | ~ ( c1_1 @ X83 ) )
   <= ! [X83: $i] :
        ( ( c0_1 @ X83 )
        | ( c2_1 @ X83 )
        | ~ ( c1_1 @ X83 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf(zip_derived_cl1916,plain,
    ( ( ( c0_1 @ a2074 )
      | ( c2_1 @ a2074 ) )
   <= ( ! [X83: $i] :
          ( ( c0_1 @ X83 )
          | ( c2_1 @ X83 )
          | ~ ( c1_1 @ X83 ) )
      & ( c1_1 @ a2074 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl690,zip_derived_cl417]) ).

thf('191',plain,
    ( ( c0_1 @ a2074 )
    | ( c2_1 @ a2074 )
    | ~ ! [X83: $i] :
          ( ( c0_1 @ X83 )
          | ( c2_1 @ X83 )
          | ~ ( c1_1 @ X83 ) )
    | ~ ( c1_1 @ a2074 ) ),
    inference(split,[status(esa)],[zip_derived_cl1916]) ).

thf('192',plain,
    ( hskp7
    | hskp4
    | ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c2_1 @ X1 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf('193',plain,
    ( ( c1_1 @ a2079 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl166]) ).

thf(zip_derived_cl668_100,plain,
    ( ( c1_1 @ a2079 )
   <= ( c1_1 @ a2079 ) ),
    inference(split,[status(esa)],[zip_derived_cl166]) ).

thf(zip_derived_cl249_101,plain,
    ( ! [X9: $i] :
        ( ( c3_1 @ X9 )
        | ~ ( c1_1 @ X9 )
        | ~ ( c2_1 @ X9 ) )
   <= ! [X9: $i] :
        ( ( c3_1 @ X9 )
        | ~ ( c1_1 @ X9 )
        | ~ ( c2_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl1561,plain,
    ( ( ( c3_1 @ a2079 )
      | ~ ( c2_1 @ a2079 ) )
   <= ( ! [X9: $i] :
          ( ( c3_1 @ X9 )
          | ~ ( c1_1 @ X9 )
          | ~ ( c2_1 @ X9 ) )
      & ( c1_1 @ a2079 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl668,zip_derived_cl249]) ).

thf('194',plain,
    ( ~ ( c2_1 @ a2079 )
    | ~ ( c1_1 @ a2079 )
    | ~ ! [X9: $i] :
          ( ( c3_1 @ X9 )
          | ~ ( c1_1 @ X9 )
          | ~ ( c2_1 @ X9 ) )
    | ( c3_1 @ a2079 ) ),
    inference(split,[status(esa)],[zip_derived_cl1561]) ).

thf(zip_derived_cl258,plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c0_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c0_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl670_102,plain,
    ( ~ ( c3_1 @ a2079 )
   <= ~ ( c3_1 @ a2079 ) ),
    inference(split,[status(esa)],[zip_derived_cl167]) ).

thf(zip_derived_cl843,plain,
    ( ( ~ ( c0_1 @ a2079 )
      | ( c2_1 @ a2079 ) )
   <= ( ~ ( c3_1 @ a2079 )
      & ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c3_1 @ X12 )
          | ~ ( c0_1 @ X12 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl258,zip_derived_cl670]) ).

thf('195',plain,
    ( ( c2_1 @ a2079 )
    | ~ ( c0_1 @ a2079 )
    | ~ ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c3_1 @ X12 )
          | ~ ( c0_1 @ X12 ) )
    | ( c3_1 @ a2079 ) ),
    inference(split,[status(esa)],[zip_derived_cl843]) ).

thf(zip_derived_cl7316,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']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN485+1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.dlOMXgtLUO true
% 0.12/0.34  % Computer : n026.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Sat Aug 26 18:18:18 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.34  % Python version: Python 3.6.8
% 0.12/0.34  % Running in FO mode
% 0.21/0.62  % Total configuration time : 435
% 0.21/0.62  % Estimated wc time : 1092
% 0.21/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 4.55/1.46  % Solved by fo/fo1_av.sh.
% 4.55/1.46  % done 2024 iterations in 0.690s
% 4.55/1.46  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 4.55/1.46  % SZS output start Refutation
% See solution above
% 4.55/1.47  
% 4.55/1.47  
% 4.55/1.47  % Terminating...
% 4.55/1.55  % Runner terminated.
% 4.55/1.56  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------