TSTP Solution File: SYN451+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN451+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ssoGBVRxIz true

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep  1 04:03:36 EDT 2023

% Result   : Theorem 30.06s 4.87s
% Output   : Refutation 30.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   64
% Syntax   : Number of formulae    :  669 (   1 unt;  63 typ;   0 def)
%            Number of atoms       : 4185 (   0 equ;   0 cnn)
%            Maximal formula atoms :  599 (   6 avg)
%            Number of connectives : 9040 (2120   ~;2612   |; 487   &;3341   @)
%                                         (   0 <=>; 184  =>; 296  <=;   0 <~>)
%            Maximal formula depth :   92 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   64 (  63 usr;  60 con; 0-1 aty)
%            Number of variables   :  794 (   0   ^; 794   !;   0   ?; 794   :)

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

thf(a733_type,type,
    a733: $i ).

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

thf(a749_type,type,
    a749: $i ).

thf(a798_type,type,
    a798: $i ).

thf(a784_type,type,
    a784: $i ).

thf(a764_type,type,
    a764: $i ).

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

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

thf(a730_type,type,
    a730: $i ).

thf(a738_type,type,
    a738: $i ).

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

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

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

thf(a731_type,type,
    a731: $i ).

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

thf(a734_type,type,
    a734: $i ).

thf(a777_type,type,
    a777: $i ).

thf(a797_type,type,
    a797: $i ).

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

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

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

thf(a748_type,type,
    a748: $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(a746_type,type,
    a746: $i ).

thf(a755_type,type,
    a755: $i ).

thf(a775_type,type,
    a775: $i ).

thf(a793_type,type,
    a793: $i ).

thf(a737_type,type,
    a737: $i ).

thf(a766_type,type,
    a766: $i ).

thf(a763_type,type,
    a763: $i ).

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

thf(a779_type,type,
    a779: $i ).

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

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

thf(a741_type,type,
    a741: $i ).

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

thf(a729_type,type,
    a729: $i ).

thf(a744_type,type,
    a744: $i ).

thf(a759_type,type,
    a759: $i ).

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

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

thf(a762_type,type,
    a762: $i ).

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

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

thf(a735_type,type,
    a735: $i ).

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

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

thf(a802_type,type,
    a802: $i ).

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

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

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

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

thf(a732_type,type,
    a732: $i ).

thf(a750_type,type,
    a750: $i ).

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

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

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

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

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

thf(co1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & ( c0_1 @ a730 )
          & ( c3_1 @ a730 )
          & ~ ( c1_1 @ a730 ) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & ( c1_1 @ a731 )
          & ( c3_1 @ a731 )
          & ~ ( c2_1 @ a731 ) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & ~ ( c0_1 @ a732 )
          & ~ ( c2_1 @ a732 )
          & ~ ( c3_1 @ a732 ) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & ( c2_1 @ a733 )
          & ~ ( c0_1 @ a733 )
          & ~ ( c1_1 @ a733 ) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & ( c1_1 @ a734 )
          & ~ ( c0_1 @ a734 )
          & ~ ( c3_1 @ a734 ) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & ( c2_1 @ a735 )
          & ( c3_1 @ a735 )
          & ~ ( c0_1 @ a735 ) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & ( c1_1 @ a738 )
          & ~ ( c0_1 @ a738 )
          & ~ ( c2_1 @ a738 ) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & ( c1_1 @ a741 )
          & ( c3_1 @ a741 )
          & ~ ( c0_1 @ a741 ) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & ( c3_1 @ a744 )
          & ~ ( c0_1 @ a744 )
          & ~ ( c1_1 @ a744 ) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & ( c3_1 @ a746 )
          & ~ ( c0_1 @ a746 )
          & ~ ( c2_1 @ a746 ) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & ~ ( c0_1 @ a748 )
          & ~ ( c1_1 @ a748 )
          & ~ ( c2_1 @ a748 ) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & ~ ( c0_1 @ a749 )
          & ~ ( c1_1 @ a749 )
          & ~ ( c3_1 @ a749 ) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & ( c1_1 @ a755 )
          & ( c2_1 @ a755 )
          & ~ ( c3_1 @ a755 ) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & ( c2_1 @ a759 )
          & ( c3_1 @ a759 )
          & ~ ( c1_1 @ a759 ) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & ( c0_1 @ a762 )
          & ~ ( c1_1 @ a762 )
          & ~ ( c2_1 @ a762 ) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & ( c0_1 @ a763 )
          & ( c1_1 @ a763 )
          & ~ ( c2_1 @ a763 ) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & ( c0_1 @ a764 )
          & ( c2_1 @ a764 )
          & ~ ( c3_1 @ a764 ) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & ( c1_1 @ a766 )
          & ( c2_1 @ a766 )
          & ~ ( c0_1 @ a766 ) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & ( c1_1 @ a775 )
          & ~ ( c2_1 @ a775 )
          & ~ ( c3_1 @ a775 ) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & ( c2_1 @ a777 )
          & ~ ( c0_1 @ a777 )
          & ~ ( c3_1 @ a777 ) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & ( c2_1 @ a779 )
          & ~ ( c1_1 @ a779 )
          & ~ ( c3_1 @ a779 ) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & ( c0_1 @ a793 )
          & ( c3_1 @ a793 )
          & ~ ( c2_1 @ a793 ) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & ( c3_1 @ a797 )
          & ~ ( c1_1 @ a797 )
          & ~ ( c2_1 @ a797 ) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & ( c0_1 @ a798 )
          & ( c1_1 @ a798 )
          & ~ ( c3_1 @ a798 ) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & ( c0_1 @ a802 )
          & ~ ( c2_1 @ a802 )
          & ~ ( c3_1 @ a802 ) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & ( c0_1 @ a729 )
          & ( c2_1 @ a729 )
          & ( c3_1 @ a729 ) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & ( c1_1 @ a737 )
          & ( c2_1 @ a737 )
          & ( c3_1 @ a737 ) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & ( c0_1 @ a750 )
          & ( c1_1 @ a750 )
          & ( c2_1 @ a750 ) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & ( c0_1 @ a784 )
          & ( c1_1 @ a784 )
          & ( c3_1 @ a784 ) ) )
      & ( ! [U: $i] :
            ( ndr1_0
           => ( ( c0_1 @ U )
              | ( c1_1 @ U )
              | ( c2_1 @ U ) ) )
        | ! [V: $i] :
            ( ndr1_0
           => ( ( c0_1 @ V )
              | ( c3_1 @ V )
              | ~ ( c2_1 @ V ) ) )
        | ! [W: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ W )
              | ~ ( c1_1 @ W )
              | ~ ( c2_1 @ W ) ) ) )
      & ( ! [X: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X )
              | ( c1_1 @ X )
              | ( c2_1 @ X ) ) )
        | ! [Y: $i] :
            ( ndr1_0
           => ( ( c1_1 @ Y )
              | ~ ( c0_1 @ Y )
              | ~ ( c3_1 @ Y ) ) )
        | hskp25 )
      & ( ! [Z: $i] :
            ( ndr1_0
           => ( ( c0_1 @ Z )
              | ( c1_1 @ Z )
              | ( c2_1 @ Z ) ) )
        | hskp0
        | hskp1 )
      & ( ! [X1: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X1 )
              | ( c1_1 @ X1 )
              | ( c3_1 @ X1 ) ) )
        | ! [X2: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X2 )
              | ( c2_1 @ X2 )
              | ~ ( c3_1 @ X2 ) ) )
        | hskp2 )
      & ( ! [X3: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X3 )
              | ( c1_1 @ X3 )
              | ( c3_1 @ X3 ) ) )
        | ! [X4: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X4 )
              | ( c3_1 @ X4 )
              | ~ ( c1_1 @ X4 ) ) )
        | hskp3 )
      & ( ! [X5: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X5 )
              | ( c1_1 @ X5 )
              | ( c3_1 @ X5 ) ) )
        | ! [X6: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X6 )
              | ~ ( c0_1 @ X6 )
              | ~ ( c1_1 @ X6 ) ) )
        | ! [X7: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X7 )
              | ~ ( c1_1 @ X7 )
              | ~ ( c3_1 @ X7 ) ) ) )
      & ( ! [X8: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X8 )
              | ( c1_1 @ X8 )
              | ( c3_1 @ X8 ) ) )
        | hskp4
        | hskp5 )
      & ( ! [X9: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X9 )
              | ( c1_1 @ X9 )
              | ~ ( c2_1 @ X9 ) ) )
        | ! [X10: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X10 )
              | ( c2_1 @ X10 )
              | ~ ( c1_1 @ X10 ) ) )
        | hskp0 )
      & ( ! [X11: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X11 )
              | ( c1_1 @ X11 )
              | ~ ( c2_1 @ X11 ) ) )
        | hskp26
        | hskp6 )
      & ( ! [X12: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X12 )
              | ( c1_1 @ X12 )
              | ~ ( c2_1 @ X12 ) ) )
        | hskp1
        | hskp2 )
      & ( ! [X13: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X13 )
              | ( c1_1 @ X13 )
              | ~ ( c3_1 @ X13 ) ) )
        | ! [X14: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X14 )
              | ( c3_1 @ X14 )
              | ~ ( c2_1 @ X14 ) ) )
        | hskp7 )
      & ( ! [X15: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X15 )
              | ( c1_1 @ X15 )
              | ~ ( c3_1 @ X15 ) ) )
        | ! [X16: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X16 )
              | ~ ( c1_1 @ X16 )
              | ~ ( c2_1 @ X16 ) ) )
        | hskp5 )
      & ( ! [X17: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X17 )
              | ( c1_1 @ X17 )
              | ~ ( c3_1 @ X17 ) ) )
        | ! [X18: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X18 )
              | ( c3_1 @ X18 )
              | ~ ( c0_1 @ X18 ) ) )
        | ! [X19: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X19 )
              | ~ ( c0_1 @ X19 )
              | ~ ( c1_1 @ X19 ) ) ) )
      & ( ! [X20: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X20 )
              | ( c1_1 @ X20 )
              | ~ ( c3_1 @ X20 ) ) )
        | ! [X21: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X21 )
              | ~ ( c0_1 @ X21 )
              | ~ ( c2_1 @ X21 ) ) )
        | hskp4 )
      & ( ! [X22: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X22 )
              | ( c2_1 @ X22 )
              | ( c3_1 @ X22 ) ) )
        | ! [X23: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X23 )
              | ( c3_1 @ X23 )
              | ~ ( c2_1 @ X23 ) ) )
        | hskp8 )
      & ( ! [X24: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X24 )
              | ( c2_1 @ X24 )
              | ( c3_1 @ X24 ) ) )
        | hskp5
        | hskp9 )
      & ( ! [X25: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X25 )
              | ( c2_1 @ X25 )
              | ~ ( c1_1 @ X25 ) ) )
        | ! [X26: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X26 )
              | ( c3_1 @ X26 )
              | ~ ( c1_1 @ X26 ) ) )
        | hskp5 )
      & ( ! [X27: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X27 )
              | ( c2_1 @ X27 )
              | ~ ( c1_1 @ X27 ) ) )
        | ! [X28: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X28 )
              | ~ ( c2_1 @ X28 )
              | ~ ( c3_1 @ X28 ) ) )
        | hskp10 )
      & ( ! [X29: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X29 )
              | ( c2_1 @ X29 )
              | ~ ( c1_1 @ X29 ) ) )
        | ! [X30: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X30 )
              | ~ ( c1_1 @ X30 )
              | ~ ( c3_1 @ X30 ) ) )
        | hskp11 )
      & ( ! [X31: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X31 )
              | ( c2_1 @ X31 )
              | ~ ( c1_1 @ X31 ) ) )
        | ! [X32: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X32 )
              | ~ ( c1_1 @ X32 )
              | ~ ( c2_1 @ X32 ) ) )
        | hskp27 )
      & ( ! [X33: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X33 )
              | ( c2_1 @ X33 )
              | ~ ( c3_1 @ X33 ) ) )
        | ! [X34: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X34 )
              | ~ ( c1_1 @ X34 )
              | ~ ( c3_1 @ X34 ) ) )
        | ! [X35: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X35 )
              | ~ ( c1_1 @ X35 )
              | ~ ( c3_1 @ X35 ) ) ) )
      & ( ! [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 ) ) )
        | ! [X38: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X38 )
              | ~ ( c2_1 @ X38 )
              | ~ ( c3_1 @ X38 ) ) ) )
      & ( ! [X39: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X39 )
              | ( c2_1 @ X39 )
              | ~ ( c3_1 @ X39 ) ) )
        | ! [X40: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X40 )
              | ( c3_1 @ X40 )
              | ~ ( c2_1 @ X40 ) ) )
        | ! [X41: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X41 )
              | ~ ( c0_1 @ X41 )
              | ~ ( c1_1 @ X41 ) ) ) )
      & ( ! [X42: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X42 )
              | ( c2_1 @ X42 )
              | ~ ( c3_1 @ X42 ) ) )
        | hskp27
        | hskp11 )
      & ( ! [X43: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X43 )
              | ( c2_1 @ X43 )
              | ~ ( c3_1 @ X43 ) ) )
        | hskp25
        | hskp6 )
      & ( ! [X44: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X44 )
              | ( c2_1 @ X44 )
              | ~ ( c3_1 @ X44 ) ) )
        | hskp12
        | hskp7 )
      & ( ! [X45: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X45 )
              | ( c2_1 @ X45 )
              | ~ ( c3_1 @ X45 ) ) )
        | hskp6
        | hskp4 )
      & ( ! [X46: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X46 )
              | ( c3_1 @ X46 )
              | ~ ( c1_1 @ X46 ) ) )
        | ! [X47: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X47 )
              | ~ ( c0_1 @ X47 )
              | ~ ( c1_1 @ X47 ) ) )
        | hskp13 )
      & ( ! [X48: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X48 )
              | ( c3_1 @ X48 )
              | ~ ( c1_1 @ X48 ) ) )
        | hskp0
        | hskp9 )
      & ( ! [X49: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X49 )
              | ( c3_1 @ X49 )
              | ~ ( c2_1 @ X49 ) ) )
        | ! [X50: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X50 )
              | ( c3_1 @ X50 )
              | ~ ( c1_1 @ X50 ) ) )
        | hskp14 )
      & ( ! [X51: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X51 )
              | ( c3_1 @ X51 )
              | ~ ( c2_1 @ X51 ) ) )
        | ! [X52: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X52 )
              | ~ ( c1_1 @ X52 )
              | ~ ( c3_1 @ X52 ) ) )
        | hskp15 )
      & ( ! [X53: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X53 )
              | ~ ( c1_1 @ X53 )
              | ~ ( c2_1 @ X53 ) ) )
        | ! [X54: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X54 )
              | ~ ( c2_1 @ X54 )
              | ~ ( c3_1 @ X54 ) ) )
        | hskp16 )
      & ( ! [X55: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X55 )
              | ~ ( c1_1 @ X55 )
              | ~ ( c2_1 @ X55 ) ) )
        | hskp27
        | hskp17 )
      & ( ! [X56: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X56 )
              | ~ ( c1_1 @ X56 )
              | ~ ( c3_1 @ X56 ) ) )
        | ! [X57: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X57 )
              | ( c2_1 @ X57 )
              | ~ ( c0_1 @ X57 ) ) )
        | hskp2 )
      & ( ! [X58: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X58 )
              | ~ ( c2_1 @ X58 )
              | ~ ( c3_1 @ X58 ) ) )
        | ! [X59: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X59 )
              | ~ ( c2_1 @ X59 )
              | ~ ( c3_1 @ X59 ) ) )
        | ! [X60: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X60 )
              | ~ ( c0_1 @ X60 )
              | ~ ( c3_1 @ X60 ) ) ) )
      & ( ! [X61: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X61 )
              | ( c2_1 @ X61 )
              | ( c3_1 @ X61 ) ) )
        | hskp27
        | hskp0 )
      & ( ! [X62: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X62 )
              | ( c2_1 @ X62 )
              | ~ ( c0_1 @ X62 ) ) )
        | ! [X63: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X63 )
              | ~ ( c2_1 @ X63 )
              | ~ ( c3_1 @ X63 ) ) )
        | hskp26 )
      & ( ! [X64: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X64 )
              | ( c2_1 @ X64 )
              | ~ ( c3_1 @ X64 ) ) )
        | ! [X65: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X65 )
              | ~ ( c1_1 @ X65 )
              | ~ ( c3_1 @ X65 ) ) )
        | hskp11 )
      & ( ! [X66: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X66 )
              | ( c3_1 @ X66 )
              | ~ ( c0_1 @ X66 ) ) )
        | hskp27
        | hskp5 )
      & ( ! [X67: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X67 )
              | ( c3_1 @ X67 )
              | ~ ( c2_1 @ X67 ) ) )
        | ! [X68: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X68 )
              | ~ ( c0_1 @ X68 )
              | ~ ( c3_1 @ X68 ) ) )
        | hskp5 )
      & ( ! [X69: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X69 )
              | ( c3_1 @ X69 )
              | ~ ( c2_1 @ X69 ) ) )
        | ! [X70: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X70 )
              | ( c3_1 @ X70 )
              | ~ ( c0_1 @ X70 ) ) )
        | ! [X71: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X71 )
              | ~ ( c1_1 @ X71 )
              | ~ ( c2_1 @ X71 ) ) ) )
      & ( ! [X72: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X72 )
              | ( c3_1 @ X72 )
              | ~ ( c2_1 @ X72 ) ) )
        | ! [X73: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X73 )
              | ~ ( c1_1 @ X73 )
              | ~ ( c3_1 @ X73 ) ) )
        | hskp18 )
      & ( ! [X74: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X74 )
              | ~ ( c0_1 @ X74 )
              | ~ ( c3_1 @ X74 ) ) )
        | hskp27
        | hskp19 )
      & ( ! [X75: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X75 )
              | ~ ( c2_1 @ X75 )
              | ~ ( c3_1 @ X75 ) ) )
        | hskp5
        | hskp20 )
      & ( ! [X76: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X76 )
              | ( c3_1 @ X76 )
              | ~ ( c0_1 @ X76 ) ) )
        | hskp25
        | hskp9 )
      & ( ! [X77: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X77 )
              | ( c3_1 @ X77 )
              | ~ ( c0_1 @ X77 ) ) )
        | hskp16
        | hskp3 )
      & ( ! [X78: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X78 )
              | ( c3_1 @ X78 )
              | ~ ( c1_1 @ X78 ) ) )
        | hskp28
        | hskp16 )
      & ( ! [X79: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X79 )
              | ~ ( c0_1 @ X79 )
              | ~ ( c1_1 @ X79 ) ) )
        | ! [X80: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X80 )
              | ~ ( c2_1 @ X80 )
              | ~ ( c3_1 @ X80 ) ) )
        | hskp1 )
      & ( ! [X81: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X81 )
              | ~ ( c0_1 @ X81 )
              | ~ ( c1_1 @ X81 ) ) )
        | hskp18
        | hskp11 )
      & ( ! [X82: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X82 )
              | ~ ( c1_1 @ X82 )
              | ~ ( c2_1 @ X82 ) ) )
        | hskp27
        | hskp11 )
      & ( ! [X83: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X83 )
              | ~ ( c2_1 @ X83 )
              | ~ ( c3_1 @ X83 ) ) )
        | hskp28
        | hskp11 )
      & ( ! [X84: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X84 )
              | ~ ( c2_1 @ X84 )
              | ~ ( c3_1 @ X84 ) ) )
        | hskp21 )
      & ( ! [X85: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X85 )
              | ~ ( c2_1 @ X85 )
              | ~ ( c3_1 @ X85 ) ) )
        | hskp21
        | hskp2 )
      & ( ! [X86: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X86 )
              | ~ ( c2_1 @ X86 )
              | ~ ( c3_1 @ X86 ) ) )
        | hskp16
        | hskp22 )
      & ( hskp23
        | hskp21
        | hskp17 )
      & ( hskp23
        | hskp24
        | hskp13 )
      & ( hskp16
        | hskp18
        | hskp19 )
      & ( hskp0
        | hskp5
        | hskp19 )
      & ( hskp0
        | hskp8 )
      & ( hskp7
        | hskp1
        | hskp4 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( ~ hskp0
      | ( ndr1_0
        & ( c0_1 @ a730 )
        & ( c3_1 @ a730 )
        & ~ ( c1_1 @ a730 ) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ( c1_1 @ a731 )
        & ( c3_1 @ a731 )
        & ~ ( c2_1 @ a731 ) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ~ ( c0_1 @ a732 )
        & ~ ( c2_1 @ a732 )
        & ~ ( c3_1 @ a732 ) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ( c2_1 @ a733 )
        & ~ ( c0_1 @ a733 )
        & ~ ( c1_1 @ a733 ) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ( c1_1 @ a734 )
        & ~ ( c0_1 @ a734 )
        & ~ ( c3_1 @ a734 ) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ( c2_1 @ a735 )
        & ( c3_1 @ a735 )
        & ~ ( c0_1 @ a735 ) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ( c1_1 @ a738 )
        & ~ ( c0_1 @ a738 )
        & ~ ( c2_1 @ a738 ) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & ( c1_1 @ a741 )
        & ( c3_1 @ a741 )
        & ~ ( c0_1 @ a741 ) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ( c3_1 @ a744 )
        & ~ ( c0_1 @ a744 )
        & ~ ( c1_1 @ a744 ) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ( c3_1 @ a746 )
        & ~ ( c0_1 @ a746 )
        & ~ ( c2_1 @ a746 ) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ~ ( c0_1 @ a748 )
        & ~ ( c1_1 @ a748 )
        & ~ ( c2_1 @ a748 ) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ~ ( c0_1 @ a749 )
        & ~ ( c1_1 @ a749 )
        & ~ ( c3_1 @ a749 ) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ( c1_1 @ a755 )
        & ( c2_1 @ a755 )
        & ~ ( c3_1 @ a755 ) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & ( c2_1 @ a759 )
        & ( c3_1 @ a759 )
        & ~ ( c1_1 @ a759 ) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ( c0_1 @ a762 )
        & ~ ( c1_1 @ a762 )
        & ~ ( c2_1 @ a762 ) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & ( c0_1 @ a763 )
        & ( c1_1 @ a763 )
        & ~ ( c2_1 @ a763 ) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & ( c0_1 @ a764 )
        & ( c2_1 @ a764 )
        & ~ ( c3_1 @ a764 ) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ( c1_1 @ a766 )
        & ( c2_1 @ a766 )
        & ~ ( c0_1 @ a766 ) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ( c1_1 @ a775 )
        & ~ ( c2_1 @ a775 )
        & ~ ( c3_1 @ a775 ) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ( c2_1 @ a777 )
        & ~ ( c0_1 @ a777 )
        & ~ ( c3_1 @ a777 ) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ( c2_1 @ a779 )
        & ~ ( c1_1 @ a779 )
        & ~ ( c3_1 @ a779 ) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & ( c0_1 @ a793 )
        & ( c3_1 @ a793 )
        & ~ ( c2_1 @ a793 ) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ( c3_1 @ a797 )
        & ~ ( c1_1 @ a797 )
        & ~ ( c2_1 @ a797 ) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ( c0_1 @ a798 )
        & ( c1_1 @ a798 )
        & ~ ( c3_1 @ a798 ) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ( c0_1 @ a802 )
        & ~ ( c2_1 @ a802 )
        & ~ ( c3_1 @ a802 ) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ( c0_1 @ a729 )
        & ( c2_1 @ a729 )
        & ( c3_1 @ a729 ) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ( c1_1 @ a737 )
        & ( c2_1 @ a737 )
        & ( c3_1 @ a737 ) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ( c0_1 @ a750 )
        & ( c1_1 @ a750 )
        & ( c2_1 @ a750 ) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & ( c0_1 @ a784 )
        & ( c1_1 @ a784 )
        & ( c3_1 @ a784 ) ) )
    & ( ! [U: $i] :
          ( ndr1_0
         => ( ( c0_1 @ U )
            | ( c1_1 @ U )
            | ( c2_1 @ U ) ) )
      | ! [V: $i] :
          ( ndr1_0
         => ( ( c0_1 @ V )
            | ( c3_1 @ V )
            | ~ ( c2_1 @ V ) ) )
      | ! [W: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ W )
            | ~ ( c1_1 @ W )
            | ~ ( c2_1 @ W ) ) ) )
    & ( ! [X: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X )
            | ( c1_1 @ X )
            | ( c2_1 @ X ) ) )
      | ! [Y: $i] :
          ( ndr1_0
         => ( ( c1_1 @ Y )
            | ~ ( c0_1 @ Y )
            | ~ ( c3_1 @ Y ) ) )
      | hskp25 )
    & ( ! [Z: $i] :
          ( ndr1_0
         => ( ( c0_1 @ Z )
            | ( c1_1 @ Z )
            | ( c2_1 @ Z ) ) )
      | hskp0
      | hskp1 )
    & ( ! [X1: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X1 )
            | ( c1_1 @ X1 )
            | ( c3_1 @ X1 ) ) )
      | ! [X2: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X2 )
            | ( c2_1 @ X2 )
            | ~ ( c3_1 @ X2 ) ) )
      | hskp2 )
    & ( ! [X3: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X3 )
            | ( c1_1 @ X3 )
            | ( c3_1 @ X3 ) ) )
      | ! [X4: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X4 )
            | ( c3_1 @ X4 )
            | ~ ( c1_1 @ X4 ) ) )
      | hskp3 )
    & ( ! [X5: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X5 )
            | ( c1_1 @ X5 )
            | ( c3_1 @ X5 ) ) )
      | ! [X6: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X6 )
            | ~ ( c0_1 @ X6 )
            | ~ ( c1_1 @ X6 ) ) )
      | ! [X7: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X7 )
            | ~ ( c1_1 @ X7 )
            | ~ ( c3_1 @ X7 ) ) ) )
    & ( ! [X8: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X8 )
            | ( c1_1 @ X8 )
            | ( c3_1 @ X8 ) ) )
      | hskp4
      | hskp5 )
    & ( ! [X9: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X9 )
            | ( c1_1 @ X9 )
            | ~ ( c2_1 @ X9 ) ) )
      | ! [X10: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X10 )
            | ( c2_1 @ X10 )
            | ~ ( c1_1 @ X10 ) ) )
      | hskp0 )
    & ( ! [X11: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X11 )
            | ( c1_1 @ X11 )
            | ~ ( c2_1 @ X11 ) ) )
      | hskp26
      | hskp6 )
    & ( ! [X12: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X12 )
            | ( c1_1 @ X12 )
            | ~ ( c2_1 @ X12 ) ) )
      | hskp1
      | hskp2 )
    & ( ! [X13: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X13 )
            | ( c1_1 @ X13 )
            | ~ ( c3_1 @ X13 ) ) )
      | ! [X14: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X14 )
            | ( c3_1 @ X14 )
            | ~ ( c2_1 @ X14 ) ) )
      | hskp7 )
    & ( ! [X15: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X15 )
            | ( c1_1 @ X15 )
            | ~ ( c3_1 @ X15 ) ) )
      | ! [X16: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X16 )
            | ~ ( c1_1 @ X16 )
            | ~ ( c2_1 @ X16 ) ) )
      | hskp5 )
    & ( ! [X17: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X17 )
            | ( c1_1 @ X17 )
            | ~ ( c3_1 @ X17 ) ) )
      | ! [X18: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X18 )
            | ( c3_1 @ X18 )
            | ~ ( c0_1 @ X18 ) ) )
      | ! [X19: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X19 )
            | ~ ( c0_1 @ X19 )
            | ~ ( c1_1 @ X19 ) ) ) )
    & ( ! [X20: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X20 )
            | ( c1_1 @ X20 )
            | ~ ( c3_1 @ X20 ) ) )
      | ! [X21: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X21 )
            | ~ ( c0_1 @ X21 )
            | ~ ( c2_1 @ X21 ) ) )
      | hskp4 )
    & ( ! [X22: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X22 )
            | ( c2_1 @ X22 )
            | ( c3_1 @ X22 ) ) )
      | ! [X23: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X23 )
            | ( c3_1 @ X23 )
            | ~ ( c2_1 @ X23 ) ) )
      | hskp8 )
    & ( ! [X24: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X24 )
            | ( c2_1 @ X24 )
            | ( c3_1 @ X24 ) ) )
      | hskp5
      | hskp9 )
    & ( ! [X25: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X25 )
            | ( c2_1 @ X25 )
            | ~ ( c1_1 @ X25 ) ) )
      | ! [X26: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X26 )
            | ( c3_1 @ X26 )
            | ~ ( c1_1 @ X26 ) ) )
      | hskp5 )
    & ( ! [X27: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X27 )
            | ( c2_1 @ X27 )
            | ~ ( c1_1 @ X27 ) ) )
      | ! [X28: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X28 )
            | ~ ( c2_1 @ X28 )
            | ~ ( c3_1 @ X28 ) ) )
      | hskp10 )
    & ( ! [X29: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X29 )
            | ( c2_1 @ X29 )
            | ~ ( c1_1 @ X29 ) ) )
      | ! [X30: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X30 )
            | ~ ( c1_1 @ X30 )
            | ~ ( c3_1 @ X30 ) ) )
      | hskp11 )
    & ( ! [X31: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X31 )
            | ( c2_1 @ X31 )
            | ~ ( c1_1 @ X31 ) ) )
      | ! [X32: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X32 )
            | ~ ( c1_1 @ X32 )
            | ~ ( c2_1 @ X32 ) ) )
      | hskp27 )
    & ( ! [X33: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X33 )
            | ( c2_1 @ X33 )
            | ~ ( c3_1 @ X33 ) ) )
      | ! [X34: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X34 )
            | ~ ( c1_1 @ X34 )
            | ~ ( c3_1 @ X34 ) ) )
      | ! [X35: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X35 )
            | ~ ( c1_1 @ X35 )
            | ~ ( c3_1 @ X35 ) ) ) )
    & ( ! [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 ) ) )
      | ! [X38: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X38 )
            | ~ ( c2_1 @ X38 )
            | ~ ( c3_1 @ X38 ) ) ) )
    & ( ! [X39: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X39 )
            | ( c2_1 @ X39 )
            | ~ ( c3_1 @ X39 ) ) )
      | ! [X40: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X40 )
            | ( c3_1 @ X40 )
            | ~ ( c2_1 @ X40 ) ) )
      | ! [X41: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X41 )
            | ~ ( c0_1 @ X41 )
            | ~ ( c1_1 @ X41 ) ) ) )
    & ( ! [X42: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X42 )
            | ( c2_1 @ X42 )
            | ~ ( c3_1 @ X42 ) ) )
      | hskp27
      | hskp11 )
    & ( ! [X43: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X43 )
            | ( c2_1 @ X43 )
            | ~ ( c3_1 @ X43 ) ) )
      | hskp25
      | hskp6 )
    & ( ! [X44: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X44 )
            | ( c2_1 @ X44 )
            | ~ ( c3_1 @ X44 ) ) )
      | hskp12
      | hskp7 )
    & ( ! [X45: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X45 )
            | ( c2_1 @ X45 )
            | ~ ( c3_1 @ X45 ) ) )
      | hskp6
      | hskp4 )
    & ( ! [X46: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X46 )
            | ( c3_1 @ X46 )
            | ~ ( c1_1 @ X46 ) ) )
      | ! [X47: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X47 )
            | ~ ( c0_1 @ X47 )
            | ~ ( c1_1 @ X47 ) ) )
      | hskp13 )
    & ( ! [X48: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X48 )
            | ( c3_1 @ X48 )
            | ~ ( c1_1 @ X48 ) ) )
      | hskp0
      | hskp9 )
    & ( ! [X49: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X49 )
            | ( c3_1 @ X49 )
            | ~ ( c2_1 @ X49 ) ) )
      | ! [X50: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X50 )
            | ( c3_1 @ X50 )
            | ~ ( c1_1 @ X50 ) ) )
      | hskp14 )
    & ( ! [X51: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X51 )
            | ( c3_1 @ X51 )
            | ~ ( c2_1 @ X51 ) ) )
      | ! [X52: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X52 )
            | ~ ( c1_1 @ X52 )
            | ~ ( c3_1 @ X52 ) ) )
      | hskp15 )
    & ( ! [X53: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X53 )
            | ~ ( c1_1 @ X53 )
            | ~ ( c2_1 @ X53 ) ) )
      | ! [X54: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X54 )
            | ~ ( c2_1 @ X54 )
            | ~ ( c3_1 @ X54 ) ) )
      | hskp16 )
    & ( ! [X55: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X55 )
            | ~ ( c1_1 @ X55 )
            | ~ ( c2_1 @ X55 ) ) )
      | hskp27
      | hskp17 )
    & ( ! [X56: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X56 )
            | ~ ( c1_1 @ X56 )
            | ~ ( c3_1 @ X56 ) ) )
      | ! [X57: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X57 )
            | ( c2_1 @ X57 )
            | ~ ( c0_1 @ X57 ) ) )
      | hskp2 )
    & ( ! [X58: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X58 )
            | ~ ( c2_1 @ X58 )
            | ~ ( c3_1 @ X58 ) ) )
      | ! [X59: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X59 )
            | ~ ( c2_1 @ X59 )
            | ~ ( c3_1 @ X59 ) ) )
      | ! [X60: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X60 )
            | ~ ( c0_1 @ X60 )
            | ~ ( c3_1 @ X60 ) ) ) )
    & ( ! [X61: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X61 )
            | ( c2_1 @ X61 )
            | ( c3_1 @ X61 ) ) )
      | hskp27
      | hskp0 )
    & ( ! [X62: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X62 )
            | ( c2_1 @ X62 )
            | ~ ( c0_1 @ X62 ) ) )
      | ! [X63: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X63 )
            | ~ ( c2_1 @ X63 )
            | ~ ( c3_1 @ X63 ) ) )
      | hskp26 )
    & ( ! [X64: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X64 )
            | ( c2_1 @ X64 )
            | ~ ( c3_1 @ X64 ) ) )
      | ! [X65: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X65 )
            | ~ ( c1_1 @ X65 )
            | ~ ( c3_1 @ X65 ) ) )
      | hskp11 )
    & ( ! [X66: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X66 )
            | ( c3_1 @ X66 )
            | ~ ( c0_1 @ X66 ) ) )
      | hskp27
      | hskp5 )
    & ( ! [X67: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X67 )
            | ( c3_1 @ X67 )
            | ~ ( c2_1 @ X67 ) ) )
      | ! [X68: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X68 )
            | ~ ( c0_1 @ X68 )
            | ~ ( c3_1 @ X68 ) ) )
      | hskp5 )
    & ( ! [X69: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X69 )
            | ( c3_1 @ X69 )
            | ~ ( c2_1 @ X69 ) ) )
      | ! [X70: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X70 )
            | ( c3_1 @ X70 )
            | ~ ( c0_1 @ X70 ) ) )
      | ! [X71: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X71 )
            | ~ ( c1_1 @ X71 )
            | ~ ( c2_1 @ X71 ) ) ) )
    & ( ! [X72: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X72 )
            | ( c3_1 @ X72 )
            | ~ ( c2_1 @ X72 ) ) )
      | ! [X73: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X73 )
            | ~ ( c1_1 @ X73 )
            | ~ ( c3_1 @ X73 ) ) )
      | hskp18 )
    & ( ! [X74: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X74 )
            | ~ ( c0_1 @ X74 )
            | ~ ( c3_1 @ X74 ) ) )
      | hskp27
      | hskp19 )
    & ( ! [X75: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X75 )
            | ~ ( c2_1 @ X75 )
            | ~ ( c3_1 @ X75 ) ) )
      | hskp5
      | hskp20 )
    & ( ! [X76: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X76 )
            | ( c3_1 @ X76 )
            | ~ ( c0_1 @ X76 ) ) )
      | hskp25
      | hskp9 )
    & ( ! [X77: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X77 )
            | ( c3_1 @ X77 )
            | ~ ( c0_1 @ X77 ) ) )
      | hskp16
      | hskp3 )
    & ( ! [X78: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X78 )
            | ( c3_1 @ X78 )
            | ~ ( c1_1 @ X78 ) ) )
      | hskp28
      | hskp16 )
    & ( ! [X79: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X79 )
            | ~ ( c0_1 @ X79 )
            | ~ ( c1_1 @ X79 ) ) )
      | ! [X80: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X80 )
            | ~ ( c2_1 @ X80 )
            | ~ ( c3_1 @ X80 ) ) )
      | hskp1 )
    & ( ! [X81: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X81 )
            | ~ ( c0_1 @ X81 )
            | ~ ( c1_1 @ X81 ) ) )
      | hskp18
      | hskp11 )
    & ( ! [X82: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X82 )
            | ~ ( c1_1 @ X82 )
            | ~ ( c2_1 @ X82 ) ) )
      | hskp27
      | hskp11 )
    & ( ! [X83: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X83 )
            | ~ ( c2_1 @ X83 )
            | ~ ( c3_1 @ X83 ) ) )
      | hskp28
      | hskp11 )
    & ( ! [X84: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X84 )
            | ~ ( c2_1 @ X84 )
            | ~ ( c3_1 @ X84 ) ) )
      | hskp21 )
    & ( ! [X85: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X85 )
            | ~ ( c2_1 @ X85 )
            | ~ ( c3_1 @ X85 ) ) )
      | hskp21
      | hskp2 )
    & ( ! [X86: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X86 )
            | ~ ( c2_1 @ X86 )
            | ~ ( c3_1 @ X86 ) ) )
      | hskp16
      | hskp22 )
    & ( hskp23
      | hskp21
      | hskp17 )
    & ( hskp23
      | hskp24
      | hskp13 )
    & ( hskp16
      | hskp18
      | hskp19 )
    & ( hskp0
      | hskp5
      | hskp19 )
    & ( hskp0
      | hskp8 )
    & ( hskp7
      | hskp1
      | hskp4 ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl90,plain,
    ( ~ hskp21
    | ( c3_1 @ a793 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl468,plain,
    ( ( c3_1 @ a793 )
   <= ( c3_1 @ a793 ) ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl17,plain,
    ! [X12: $i] :
      ( ( c1_1 @ X12 )
      | ~ ( c0_1 @ X12 )
      | ~ ( c3_1 @ X12 )
      | ~ ndr1_0
      | hskp27
      | hskp19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl29,plain,
    ! [X34: $i,X35: $i] :
      ( ( c0_1 @ X34 )
      | ( c3_1 @ X34 )
      | ~ ( c2_1 @ X34 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X35 )
      | ~ ( c1_1 @ X35 )
      | ~ ( c3_1 @ X35 )
      | ~ ndr1_0
      | hskp15 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl284,plain,
    ( ! [X35: $i] :
        ( ~ ( c0_1 @ X35 )
        | ~ ( c1_1 @ X35 )
        | ~ ( c3_1 @ X35 ) )
   <= ! [X35: $i] :
        ( ~ ( c0_1 @ X35 )
        | ~ ( c1_1 @ X35 )
        | ~ ( c3_1 @ X35 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl1028,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X12: $i] :
          ( ( c1_1 @ X12 )
          | ~ ( c0_1 @ X12 )
          | ~ ( c3_1 @ X12 ) )
      & ! [X35: $i] :
          ( ~ ( c0_1 @ X35 )
          | ~ ( c1_1 @ X35 )
          | ~ ( c3_1 @ X35 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl236,zip_derived_cl284]) ).

thf(zip_derived_cl1033,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X12: $i] :
          ( ( c1_1 @ X12 )
          | ~ ( c0_1 @ X12 )
          | ~ ( c3_1 @ X12 ) )
      & ! [X35: $i] :
          ( ~ ( c0_1 @ X35 )
          | ~ ( c1_1 @ X35 )
          | ~ ( c3_1 @ X35 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1028]) ).

thf(zip_derived_cl1328,plain,
    ( ~ ( c0_1 @ a793 )
   <= ( ! [X12: $i] :
          ( ( c1_1 @ X12 )
          | ~ ( c0_1 @ X12 )
          | ~ ( c3_1 @ X12 ) )
      & ! [X35: $i] :
          ( ~ ( c0_1 @ X35 )
          | ~ ( c1_1 @ X35 )
          | ~ ( c3_1 @ X35 ) )
      & ( c3_1 @ a793 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl468,zip_derived_cl1033]) ).

thf(zip_derived_cl89,plain,
    ( ~ hskp21
    | ( c0_1 @ a793 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl466,plain,
    ( ( c0_1 @ a793 )
   <= ( c0_1 @ a793 ) ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf('0',plain,
    ( ~ ! [X35: $i] :
          ( ~ ( c0_1 @ X35 )
          | ~ ( c1_1 @ X35 )
          | ~ ( c3_1 @ X35 ) )
    | ~ ! [X12: $i] :
          ( ( c1_1 @ X12 )
          | ~ ( c0_1 @ X12 )
          | ~ ( c3_1 @ X12 ) )
    | ~ ( c3_1 @ a793 )
    | ~ ( c0_1 @ a793 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1328,zip_derived_cl466]) ).

thf(zip_derived_cl236_001,plain,
    ( ! [X12: $i] :
        ( ( c1_1 @ X12 )
        | ~ ( c0_1 @ X12 )
        | ~ ( c3_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ( c1_1 @ X12 )
        | ~ ( c0_1 @ X12 )
        | ~ ( c3_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl32,plain,
    ! [X39: $i,X40: $i] :
      ( ( c0_1 @ X39 )
      | ( c3_1 @ X39 )
      | ~ ( c1_1 @ X39 )
      | ~ ndr1_0
      | ( c2_1 @ X40 )
      | ~ ( c0_1 @ X40 )
      | ~ ( c1_1 @ X40 )
      | ~ ndr1_0
      | hskp13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl296,plain,
    ( ! [X40: $i] :
        ( ( c2_1 @ X40 )
        | ~ ( c0_1 @ X40 )
        | ~ ( c1_1 @ X40 ) )
   <= ! [X40: $i] :
        ( ( c2_1 @ X40 )
        | ~ ( c0_1 @ X40 )
        | ~ ( c1_1 @ X40 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl1421,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 ) )
   <= ( ! [X12: $i] :
          ( ( c1_1 @ X12 )
          | ~ ( c0_1 @ X12 )
          | ~ ( c3_1 @ X12 ) )
      & ! [X40: $i] :
          ( ( c2_1 @ X40 )
          | ~ ( c0_1 @ X40 )
          | ~ ( c1_1 @ X40 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl236,zip_derived_cl296]) ).

thf(zip_derived_cl1434,plain,
    ( ! [X0: $i] :
        ( ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X12: $i] :
          ( ( c1_1 @ X12 )
          | ~ ( c0_1 @ X12 )
          | ~ ( c3_1 @ X12 ) )
      & ! [X40: $i] :
          ( ( c2_1 @ X40 )
          | ~ ( c0_1 @ X40 )
          | ~ ( c1_1 @ X40 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1421]) ).

thf(zip_derived_cl468_002,plain,
    ( ( c3_1 @ a793 )
   <= ( c3_1 @ a793 ) ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl4402,plain,
    ( ( ~ ( c0_1 @ a793 )
      | ( c2_1 @ a793 ) )
   <= ( ! [X12: $i] :
          ( ( c1_1 @ X12 )
          | ~ ( c0_1 @ X12 )
          | ~ ( c3_1 @ X12 ) )
      & ! [X40: $i] :
          ( ( c2_1 @ X40 )
          | ~ ( c0_1 @ X40 )
          | ~ ( c1_1 @ X40 ) )
      & ( c3_1 @ a793 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1434,zip_derived_cl468]) ).

thf('1',plain,
    ( ~ ! [X40: $i] :
          ( ( c2_1 @ X40 )
          | ~ ( c0_1 @ X40 )
          | ~ ( c1_1 @ X40 ) )
    | ~ ! [X12: $i] :
          ( ( c1_1 @ X12 )
          | ~ ( c0_1 @ X12 )
          | ~ ( c3_1 @ X12 ) )
    | ~ ( c3_1 @ a793 )
    | ~ ( c0_1 @ a793 )
    | ( c2_1 @ a793 ) ),
    inference(split,[status(esa)],[zip_derived_cl4402]) ).

thf(zip_derived_cl236_003,plain,
    ( ! [X12: $i] :
        ( ( c1_1 @ X12 )
        | ~ ( c0_1 @ X12 )
        | ~ ( c3_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ( c1_1 @ X12 )
        | ~ ( c0_1 @ X12 )
        | ~ ( c3_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl18,plain,
    ! [X13: $i,X14: $i] :
      ( ( c1_1 @ X13 )
      | ( c3_1 @ X13 )
      | ~ ( c2_1 @ X13 )
      | ~ ndr1_0
      | ( c2_1 @ X14 )
      | ~ ( c1_1 @ X14 )
      | ~ ( c3_1 @ X14 )
      | ~ ndr1_0
      | hskp18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl240,plain,
    ( ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ~ ( c1_1 @ X14 )
        | ~ ( c3_1 @ X14 ) )
   <= ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ~ ( c1_1 @ X14 )
        | ~ ( c3_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl821,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X12: $i] :
          ( ( c1_1 @ X12 )
          | ~ ( c0_1 @ X12 )
          | ~ ( c3_1 @ X12 ) )
      & ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ~ ( c1_1 @ X14 )
          | ~ ( c3_1 @ X14 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl236,zip_derived_cl240]) ).

thf(zip_derived_cl823,plain,
    ( ! [X0: $i] :
        ( ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X12: $i] :
          ( ( c1_1 @ X12 )
          | ~ ( c0_1 @ X12 )
          | ~ ( c3_1 @ X12 ) )
      & ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ~ ( c1_1 @ X14 )
          | ~ ( c3_1 @ X14 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl821]) ).

thf(zip_derived_cl468_004,plain,
    ( ( c3_1 @ a793 )
   <= ( c3_1 @ a793 ) ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl2115,plain,
    ( ( ~ ( c0_1 @ a793 )
      | ( c2_1 @ a793 ) )
   <= ( ! [X12: $i] :
          ( ( c1_1 @ X12 )
          | ~ ( c0_1 @ X12 )
          | ~ ( c3_1 @ X12 ) )
      & ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ~ ( c1_1 @ X14 )
          | ~ ( c3_1 @ X14 ) )
      & ( c3_1 @ a793 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl823,zip_derived_cl468]) ).

thf('2',plain,
    ( ~ ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ~ ( c1_1 @ X14 )
          | ~ ( c3_1 @ X14 ) )
    | ~ ! [X12: $i] :
          ( ( c1_1 @ X12 )
          | ~ ( c0_1 @ X12 )
          | ~ ( c3_1 @ X12 ) )
    | ( c2_1 @ a793 )
    | ~ ( c0_1 @ a793 )
    | ~ ( c3_1 @ a793 ) ),
    inference(split,[status(esa)],[zip_derived_cl2115]) ).

thf(zip_derived_cl69,plain,
    ( ~ hskp26
    | ( c1_1 @ a737 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('3',plain,
    ( ( c1_1 @ a737 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl69]) ).

thf(zip_derived_cl70,plain,
    ( ~ hskp26
    | ( c2_1 @ a737 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('4',plain,
    ( ( c2_1 @ a737 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl70]) ).

thf(zip_derived_cl71,plain,
    ( ~ hskp26
    | ( c3_1 @ a737 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('5',plain,
    ( ( c3_1 @ a737 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl71]) ).

thf(zip_derived_cl23,plain,
    ! [X23: $i,X24: $i] :
      ( ( c1_1 @ X23 )
      | ( c2_1 @ X23 )
      | ~ ( c0_1 @ X23 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X24 )
      | ~ ( c2_1 @ X24 )
      | ~ ( c3_1 @ X24 )
      | ~ ndr1_0
      | hskp26 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('6',plain,
    ( hskp26
    | ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ( c2_1 @ X23 )
        | ~ ( c0_1 @ X23 ) )
    | ~ ndr1_0
    | ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl261,plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ( c2_1 @ X23 )
        | ~ ( c0_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ( c2_1 @ X23 )
        | ~ ( c0_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl11,plain,
    ! [X5: $i] :
      ( ( c3_1 @ X5 )
      | ~ ( c0_1 @ X5 )
      | ~ ( c1_1 @ X5 )
      | ~ ndr1_0
      | hskp18
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl212,plain,
    ( ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl1053,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ( c2_1 @ X0 )
        | ( c3_1 @ X0 )
        | ~ ( c0_1 @ X0 ) )
   <= ( ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c1_1 @ X5 ) )
      & ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ( c2_1 @ X23 )
          | ~ ( c0_1 @ X23 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl261,zip_derived_cl212]) ).

thf(zip_derived_cl1078,plain,
    ( ! [X0: $i] :
        ( ( c3_1 @ X0 )
        | ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 ) )
   <= ( ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c1_1 @ X5 ) )
      & ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ( c2_1 @ X23 )
          | ~ ( c0_1 @ X23 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1053]) ).

thf(zip_derived_cl79,plain,
    ( ~ hskp24
    | ~ ( c3_1 @ a802 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl446,plain,
    ( ~ ( c3_1 @ a802 )
   <= ~ ( c3_1 @ a802 ) ),
    inference(split,[status(esa)],[zip_derived_cl79]) ).

thf(zip_derived_cl4847,plain,
    ( ( ~ ( c0_1 @ a802 )
      | ( c2_1 @ a802 ) )
   <= ( ~ ( c3_1 @ a802 )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c1_1 @ X5 ) )
      & ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ( c2_1 @ X23 )
          | ~ ( c0_1 @ X23 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1078,zip_derived_cl446]) ).

thf('7',plain,
    ( ~ ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ( c2_1 @ X23 )
          | ~ ( c0_1 @ X23 ) )
    | ~ ( c0_1 @ a802 )
    | ~ ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c1_1 @ X5 ) )
    | ( c2_1 @ a802 )
    | ( c3_1 @ a802 ) ),
    inference(split,[status(esa)],[zip_derived_cl4847]) ).

thf(zip_derived_cl26,plain,
    ! [X29: $i,X30: $i] :
      ( ( c0_1 @ X29 )
      | ~ ( c1_1 @ X29 )
      | ~ ( c3_1 @ X29 )
      | ~ ndr1_0
      | ( c1_1 @ X30 )
      | ( c2_1 @ X30 )
      | ~ ( c0_1 @ X30 )
      | ~ ndr1_0
      | hskp2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('8',plain,
    ( hskp2
    | ! [X29: $i] :
        ( ( c0_1 @ X29 )
        | ~ ( c1_1 @ X29 )
        | ~ ( c3_1 @ X29 ) )
    | ~ ndr1_0
    | ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ( c2_1 @ X23 )
        | ~ ( c0_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl430,plain,
    ( ( c3_1 @ a737 )
   <= ( c3_1 @ a737 ) ),
    inference(split,[status(esa)],[zip_derived_cl71]) ).

thf(zip_derived_cl25,plain,
    ! [X26: $i,X27: $i,X28: $i] :
      ( ( c0_1 @ X26 )
      | ~ ( c2_1 @ X26 )
      | ~ ( c3_1 @ X26 )
      | ~ ndr1_0
      | ( c1_1 @ X27 )
      | ~ ( c2_1 @ X27 )
      | ~ ( c3_1 @ X27 )
      | ~ ndr1_0
      | ( c2_1 @ X28 )
      | ~ ( c0_1 @ X28 )
      | ~ ( c3_1 @ X28 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl270,plain,
    ( ! [X26: $i] :
        ( ( c0_1 @ X26 )
        | ~ ( c2_1 @ X26 )
        | ~ ( c3_1 @ X26 ) )
   <= ! [X26: $i] :
        ( ( c0_1 @ X26 )
        | ~ ( c2_1 @ X26 )
        | ~ ( c3_1 @ X26 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl1237,plain,
    ( ( ( c0_1 @ a737 )
      | ~ ( c2_1 @ a737 ) )
   <= ( ! [X26: $i] :
          ( ( c0_1 @ X26 )
          | ~ ( c2_1 @ X26 )
          | ~ ( c3_1 @ X26 ) )
      & ( c3_1 @ a737 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl430,zip_derived_cl270]) ).

thf('9',plain,
    ( ( c0_1 @ a737 )
    | ~ ( c3_1 @ a737 )
    | ~ ! [X26: $i] :
          ( ( c0_1 @ X26 )
          | ~ ( c2_1 @ X26 )
          | ~ ( c3_1 @ X26 ) )
    | ~ ( c2_1 @ a737 ) ),
    inference(split,[status(esa)],[zip_derived_cl1237]) ).

thf(zip_derived_cl426,plain,
    ( ( c1_1 @ a737 )
   <= ( c1_1 @ a737 ) ),
    inference(split,[status(esa)],[zip_derived_cl69]) ).

thf(zip_derived_cl273,plain,
    ( ! [X29: $i] :
        ( ( c0_1 @ X29 )
        | ~ ( c1_1 @ X29 )
        | ~ ( c3_1 @ X29 ) )
   <= ! [X29: $i] :
        ( ( c0_1 @ X29 )
        | ~ ( c1_1 @ X29 )
        | ~ ( c3_1 @ X29 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl1231,plain,
    ( ( ( c0_1 @ a737 )
      | ~ ( c3_1 @ a737 ) )
   <= ( ! [X29: $i] :
          ( ( c0_1 @ X29 )
          | ~ ( c1_1 @ X29 )
          | ~ ( c3_1 @ X29 ) )
      & ( c1_1 @ a737 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl426,zip_derived_cl273]) ).

thf('10',plain,
    ( ( c0_1 @ a737 )
    | ~ ( c1_1 @ a737 )
    | ~ ! [X29: $i] :
          ( ( c0_1 @ X29 )
          | ~ ( c1_1 @ X29 )
          | ~ ( c3_1 @ X29 ) )
    | ~ ( c3_1 @ a737 ) ),
    inference(split,[status(esa)],[zip_derived_cl1231]) ).

thf(zip_derived_cl16,plain,
    ! [X11: $i] :
      ( ( c1_1 @ X11 )
      | ~ ( c2_1 @ X11 )
      | ~ ( c3_1 @ X11 )
      | ~ ndr1_0
      | hskp5
      | hskp20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl232,plain,
    ( ! [X11: $i] :
        ( ( c1_1 @ X11 )
        | ~ ( c2_1 @ X11 )
        | ~ ( c3_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c1_1 @ X11 )
        | ~ ( c2_1 @ X11 )
        | ~ ( c3_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl19,plain,
    ! [X15: $i,X16: $i,X17: $i] :
      ( ( c1_1 @ X15 )
      | ( c3_1 @ X15 )
      | ~ ( c2_1 @ X15 )
      | ~ ndr1_0
      | ( c2_1 @ X16 )
      | ( c3_1 @ X16 )
      | ~ ( c0_1 @ X16 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X17 )
      | ~ ( c1_1 @ X17 )
      | ~ ( c2_1 @ X17 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl245,plain,
    ( ! [X17: $i] :
        ( ~ ( c0_1 @ X17 )
        | ~ ( c1_1 @ X17 )
        | ~ ( c2_1 @ X17 ) )
   <= ! [X17: $i] :
        ( ~ ( c0_1 @ X17 )
        | ~ ( c1_1 @ X17 )
        | ~ ( c2_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl890,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X11: $i] :
          ( ( c1_1 @ X11 )
          | ~ ( c2_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
      & ! [X17: $i] :
          ( ~ ( c0_1 @ X17 )
          | ~ ( c1_1 @ X17 )
          | ~ ( c2_1 @ X17 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl232,zip_derived_cl245]) ).

thf(zip_derived_cl893,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X11: $i] :
          ( ( c1_1 @ X11 )
          | ~ ( c2_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
      & ! [X17: $i] :
          ( ~ ( c0_1 @ X17 )
          | ~ ( c1_1 @ X17 )
          | ~ ( c2_1 @ X17 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl890]) ).

thf(zip_derived_cl430_005,plain,
    ( ( c3_1 @ a737 )
   <= ( c3_1 @ a737 ) ),
    inference(split,[status(esa)],[zip_derived_cl71]) ).

thf(zip_derived_cl2449,plain,
    ( ( ~ ( c2_1 @ a737 )
      | ~ ( c0_1 @ a737 ) )
   <= ( ! [X11: $i] :
          ( ( c1_1 @ X11 )
          | ~ ( c2_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
      & ! [X17: $i] :
          ( ~ ( c0_1 @ X17 )
          | ~ ( c1_1 @ X17 )
          | ~ ( c2_1 @ X17 ) )
      & ( c3_1 @ a737 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl893,zip_derived_cl430]) ).

thf('11',plain,
    ( ~ ( c0_1 @ a737 )
    | ~ ( c2_1 @ a737 )
    | ~ ! [X17: $i] :
          ( ~ ( c0_1 @ X17 )
          | ~ ( c1_1 @ X17 )
          | ~ ( c2_1 @ X17 ) )
    | ~ ( c3_1 @ a737 )
    | ~ ! [X11: $i] :
          ( ( c1_1 @ X11 )
          | ~ ( c2_1 @ X11 )
          | ~ ( c3_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl2449]) ).

thf(zip_derived_cl236_006,plain,
    ( ! [X12: $i] :
        ( ( c1_1 @ X12 )
        | ~ ( c0_1 @ X12 )
        | ~ ( c3_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ( c1_1 @ X12 )
        | ~ ( c0_1 @ X12 )
        | ~ ( c3_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl123,plain,
    ( ~ hskp13
    | ~ ( c1_1 @ a759 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl534,plain,
    ( ~ ( c1_1 @ a759 )
   <= ~ ( c1_1 @ a759 ) ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl769,plain,
    ( ( ~ ( c3_1 @ a759 )
      | ~ ( c0_1 @ a759 ) )
   <= ( ~ ( c1_1 @ a759 )
      & ! [X12: $i] :
          ( ( c1_1 @ X12 )
          | ~ ( c0_1 @ X12 )
          | ~ ( c3_1 @ X12 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl236,zip_derived_cl534]) ).

thf('12',plain,
    ( ~ ( c0_1 @ a759 )
    | ( c1_1 @ a759 )
    | ~ ! [X12: $i] :
          ( ( c1_1 @ X12 )
          | ~ ( c0_1 @ X12 )
          | ~ ( c3_1 @ X12 ) )
    | ~ ( c3_1 @ a759 ) ),
    inference(split,[status(esa)],[zip_derived_cl769]) ).

thf(zip_derived_cl122,plain,
    ( ~ hskp13
    | ( c3_1 @ a759 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl532,plain,
    ( ( c3_1 @ a759 )
   <= ( c3_1 @ a759 ) ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl270_007,plain,
    ( ! [X26: $i] :
        ( ( c0_1 @ X26 )
        | ~ ( c2_1 @ X26 )
        | ~ ( c3_1 @ X26 ) )
   <= ! [X26: $i] :
        ( ( c0_1 @ X26 )
        | ~ ( c2_1 @ X26 )
        | ~ ( c3_1 @ X26 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl1403,plain,
    ( ( ( c0_1 @ a759 )
      | ~ ( c2_1 @ a759 ) )
   <= ( ! [X26: $i] :
          ( ( c0_1 @ X26 )
          | ~ ( c2_1 @ X26 )
          | ~ ( c3_1 @ X26 ) )
      & ( c3_1 @ a759 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl532,zip_derived_cl270]) ).

thf('13',plain,
    ( ( c0_1 @ a759 )
    | ~ ( c3_1 @ a759 )
    | ~ ! [X26: $i] :
          ( ( c0_1 @ X26 )
          | ~ ( c2_1 @ X26 )
          | ~ ( c3_1 @ X26 ) )
    | ~ ( c2_1 @ a759 ) ),
    inference(split,[status(esa)],[zip_derived_cl1403]) ).

thf(zip_derived_cl232_008,plain,
    ( ! [X11: $i] :
        ( ( c1_1 @ X11 )
        | ~ ( c2_1 @ X11 )
        | ~ ( c3_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c1_1 @ X11 )
        | ~ ( c2_1 @ X11 )
        | ~ ( c3_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl118,plain,
    ( ~ hskp14
    | ~ ( c1_1 @ a762 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl524,plain,
    ( ~ ( c1_1 @ a762 )
   <= ~ ( c1_1 @ a762 ) ),
    inference(split,[status(esa)],[zip_derived_cl118]) ).

thf(zip_derived_cl738,plain,
    ( ( ~ ( c3_1 @ a762 )
      | ~ ( c2_1 @ a762 ) )
   <= ( ~ ( c1_1 @ a762 )
      & ! [X11: $i] :
          ( ( c1_1 @ X11 )
          | ~ ( c2_1 @ X11 )
          | ~ ( c3_1 @ X11 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl232,zip_derived_cl524]) ).

thf(zip_derived_cl788,plain,
    ( ~ ( c3_1 @ a762 )
   <= ~ ( c3_1 @ a762 ) ),
    inference(split,[status(esa)],[zip_derived_cl738]) ).

thf(zip_derived_cl14,plain,
    ! [X9: $i] :
      ( ( c2_1 @ X9 )
      | ( c3_1 @ X9 )
      | ~ ( c0_1 @ X9 )
      | ~ ndr1_0
      | hskp16
      | hskp3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl224,plain,
    ( ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ( c3_1 @ X9 )
        | ~ ( c0_1 @ X9 ) )
   <= ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ( c3_1 @ X9 )
        | ~ ( c0_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl790,plain,
    ( ( ( c2_1 @ a762 )
      | ~ ( c0_1 @ a762 ) )
   <= ( ~ ( c3_1 @ a762 )
      & ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ( c3_1 @ X9 )
          | ~ ( c0_1 @ X9 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl788,zip_derived_cl224]) ).

thf('14',plain,
    ( ( c3_1 @ a762 )
    | ( c2_1 @ a762 )
    | ~ ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ( c3_1 @ X9 )
          | ~ ( c0_1 @ X9 ) )
    | ~ ( c0_1 @ a762 ) ),
    inference(split,[status(esa)],[zip_derived_cl790]) ).

thf(zip_derived_cl117,plain,
    ( ~ hskp14
    | ( c0_1 @ a762 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('15',plain,
    ( ( c0_1 @ a762 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl117]) ).

thf(zip_derived_cl119,plain,
    ( ~ hskp14
    | ~ ( c2_1 @ a762 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('16',plain,
    ( ~ ( c2_1 @ a762 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl119]) ).

thf(zip_derived_cl57,plain,
    ! [X86: $i] :
      ( ( c0_1 @ X86 )
      | ( c1_1 @ X86 )
      | ( c2_1 @ X86 )
      | ~ ndr1_0
      | hskp0
      | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl396,plain,
    ( ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c1_1 @ X86 )
        | ( c2_1 @ X86 ) )
   <= ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c1_1 @ X86 )
        | ( c2_1 @ X86 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf(zip_derived_cl13,plain,
    ! [X8: $i] :
      ( ( c2_1 @ X8 )
      | ( c3_1 @ X8 )
      | ~ ( c1_1 @ X8 )
      | ~ ndr1_0
      | hskp28
      | hskp16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl220,plain,
    ( ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ( c3_1 @ X8 )
        | ~ ( c1_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ( c3_1 @ X8 )
        | ~ ( c1_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl1829,plain,
    ( ! [X0: $i] :
        ( ( c2_1 @ X0 )
        | ( c0_1 @ X0 )
        | ( c2_1 @ X0 )
        | ( c3_1 @ X0 ) )
   <= ( ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ( c3_1 @ X8 )
          | ~ ( c1_1 @ X8 ) )
      & ! [X86: $i] :
          ( ( c0_1 @ X86 )
          | ( c1_1 @ X86 )
          | ( c2_1 @ X86 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl396,zip_derived_cl220]) ).

thf(zip_derived_cl1856,plain,
    ( ! [X0: $i] :
        ( ( c3_1 @ X0 )
        | ( c0_1 @ X0 )
        | ( c2_1 @ X0 ) )
   <= ( ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ( c3_1 @ X8 )
          | ~ ( c1_1 @ X8 ) )
      & ! [X86: $i] :
          ( ( c0_1 @ X86 )
          | ( c1_1 @ X86 )
          | ( c2_1 @ X86 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1829]) ).

thf(zip_derived_cl167,plain,
    ( ~ hskp2
    | ~ ( c3_1 @ a732 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl622,plain,
    ( ~ ( c3_1 @ a732 )
   <= ~ ( c3_1 @ a732 ) ),
    inference(split,[status(esa)],[zip_derived_cl167]) ).

thf(zip_derived_cl8319,plain,
    ( ( ( c2_1 @ a732 )
      | ( c0_1 @ a732 ) )
   <= ( ~ ( c3_1 @ a732 )
      & ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ( c3_1 @ X8 )
          | ~ ( c1_1 @ X8 ) )
      & ! [X86: $i] :
          ( ( c0_1 @ X86 )
          | ( c1_1 @ X86 )
          | ( c2_1 @ X86 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1856,zip_derived_cl622]) ).

thf('17',plain,
    ( ~ ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ( c3_1 @ X8 )
          | ~ ( c1_1 @ X8 ) )
    | ~ ! [X86: $i] :
          ( ( c0_1 @ X86 )
          | ( c1_1 @ X86 )
          | ( c2_1 @ X86 ) )
    | ( c0_1 @ a732 )
    | ( c2_1 @ a732 )
    | ( c3_1 @ a732 ) ),
    inference(split,[status(esa)],[zip_derived_cl8319]) ).

thf(zip_derived_cl30,plain,
    ! [X36: $i,X37: $i] :
      ( ( c0_1 @ X36 )
      | ( c3_1 @ X36 )
      | ~ ( c2_1 @ X36 )
      | ~ ndr1_0
      | ( c2_1 @ X37 )
      | ( c3_1 @ X37 )
      | ~ ( c1_1 @ X37 )
      | ~ ndr1_0
      | hskp14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('18',plain,
    ( ! [X34: $i] :
        ( ( c0_1 @ X34 )
        | ( c3_1 @ X34 )
        | ~ ( c2_1 @ X34 ) )
    | hskp14
    | ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ( c3_1 @ X8 )
        | ~ ( c1_1 @ X8 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl24,plain,
    ! [X25: $i] :
      ( ( c1_1 @ X25 )
      | ( c2_1 @ X25 )
      | ( c3_1 @ X25 )
      | ~ ndr1_0
      | hskp27
      | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('19',plain,
    ( hskp27
    | hskp0
    | ~ ndr1_0
    | ! [X25: $i] :
        ( ( c1_1 @ X25 )
        | ( c2_1 @ X25 )
        | ( c3_1 @ X25 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl264,plain,
    ( ! [X25: $i] :
        ( ( c1_1 @ X25 )
        | ( c2_1 @ X25 )
        | ( c3_1 @ X25 ) )
   <= ! [X25: $i] :
        ( ( c1_1 @ X25 )
        | ( c2_1 @ X25 )
        | ( c3_1 @ X25 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl31,plain,
    ! [X38: $i] :
      ( ( c0_1 @ X38 )
      | ( c3_1 @ X38 )
      | ~ ( c1_1 @ X38 )
      | ~ ndr1_0
      | hskp0
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl292,plain,
    ( ! [X38: $i] :
        ( ( c0_1 @ X38 )
        | ( c3_1 @ X38 )
        | ~ ( c1_1 @ X38 ) )
   <= ! [X38: $i] :
        ( ( c0_1 @ X38 )
        | ( c3_1 @ X38 )
        | ~ ( c1_1 @ X38 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl31]) ).

thf(zip_derived_cl1373,plain,
    ( ! [X0: $i] :
        ( ( c3_1 @ X0 )
        | ( c2_1 @ X0 )
        | ( c0_1 @ X0 )
        | ( c3_1 @ X0 ) )
   <= ( ! [X25: $i] :
          ( ( c1_1 @ X25 )
          | ( c2_1 @ X25 )
          | ( c3_1 @ X25 ) )
      & ! [X38: $i] :
          ( ( c0_1 @ X38 )
          | ( c3_1 @ X38 )
          | ~ ( c1_1 @ X38 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl264,zip_derived_cl292]) ).

thf(zip_derived_cl1382,plain,
    ( ! [X0: $i] :
        ( ( c0_1 @ X0 )
        | ( c2_1 @ X0 )
        | ( c3_1 @ X0 ) )
   <= ( ! [X25: $i] :
          ( ( c1_1 @ X25 )
          | ( c2_1 @ X25 )
          | ( c3_1 @ X25 ) )
      & ! [X38: $i] :
          ( ( c0_1 @ X38 )
          | ( c3_1 @ X38 )
          | ~ ( c1_1 @ X38 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1373]) ).

thf(zip_derived_cl622_009,plain,
    ( ~ ( c3_1 @ a732 )
   <= ~ ( c3_1 @ a732 ) ),
    inference(split,[status(esa)],[zip_derived_cl167]) ).

thf(zip_derived_cl7014,plain,
    ( ( ( c2_1 @ a732 )
      | ( c0_1 @ a732 ) )
   <= ( ~ ( c3_1 @ a732 )
      & ! [X25: $i] :
          ( ( c1_1 @ X25 )
          | ( c2_1 @ X25 )
          | ( c3_1 @ X25 ) )
      & ! [X38: $i] :
          ( ( c0_1 @ X38 )
          | ( c3_1 @ X38 )
          | ~ ( c1_1 @ X38 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1382,zip_derived_cl622]) ).

thf('20',plain,
    ( ~ ! [X25: $i] :
          ( ( c1_1 @ X25 )
          | ( c2_1 @ X25 )
          | ( c3_1 @ X25 ) )
    | ( c0_1 @ a732 )
    | ~ ! [X38: $i] :
          ( ( c0_1 @ X38 )
          | ( c3_1 @ X38 )
          | ~ ( c1_1 @ X38 ) )
    | ( c2_1 @ a732 )
    | ( c3_1 @ a732 ) ),
    inference(split,[status(esa)],[zip_derived_cl7014]) ).

thf('21',plain,
    ( ! [X38: $i] :
        ( ( c0_1 @ X38 )
        | ( c3_1 @ X38 )
        | ~ ( c1_1 @ X38 ) )
    | hskp0
    | ~ ndr1_0
    | hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl31]) ).

thf(zip_derived_cl141,plain,
    ( ~ hskp8
    | ( c3_1 @ a744 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl570,plain,
    ( ( c3_1 @ a744 )
   <= ( c3_1 @ a744 ) ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf(zip_derived_cl270_010,plain,
    ( ! [X26: $i] :
        ( ( c0_1 @ X26 )
        | ~ ( c2_1 @ X26 )
        | ~ ( c3_1 @ X26 ) )
   <= ! [X26: $i] :
        ( ( c0_1 @ X26 )
        | ~ ( c2_1 @ X26 )
        | ~ ( c3_1 @ X26 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl1465,plain,
    ( ( ( c0_1 @ a744 )
      | ~ ( c2_1 @ a744 ) )
   <= ( ! [X26: $i] :
          ( ( c0_1 @ X26 )
          | ~ ( c2_1 @ X26 )
          | ~ ( c3_1 @ X26 ) )
      & ( c3_1 @ a744 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl570,zip_derived_cl270]) ).

thf('22',plain,
    ( ~ ( c2_1 @ a744 )
    | ~ ( c3_1 @ a744 )
    | ~ ! [X26: $i] :
          ( ( c0_1 @ X26 )
          | ~ ( c2_1 @ X26 )
          | ~ ( c3_1 @ X26 ) )
    | ( c0_1 @ a744 ) ),
    inference(split,[status(esa)],[zip_derived_cl1465]) ).

thf(zip_derived_cl48,plain,
    ! [X70: $i,X71: $i] :
      ( ( c0_1 @ X70 )
      | ( c1_1 @ X70 )
      | ~ ( c3_1 @ X70 )
      | ~ ndr1_0
      | ( c0_1 @ X71 )
      | ~ ( c1_1 @ X71 )
      | ~ ( c2_1 @ X71 )
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('23',plain,
    ( ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ( c1_1 @ X65 )
        | ~ ( c3_1 @ X65 ) )
    | ! [X31: $i] :
        ( ( c0_1 @ X31 )
        | ~ ( c1_1 @ X31 )
        | ~ ( c2_1 @ X31 ) )
    | hskp5
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl50,plain,
    ! [X74: $i] :
      ( ( c0_1 @ X74 )
      | ( c1_1 @ X74 )
      | ~ ( c2_1 @ X74 )
      | ~ ndr1_0
      | hskp1
      | hskp2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl368,plain,
    ( ! [X74: $i] :
        ( ( c0_1 @ X74 )
        | ( c1_1 @ X74 )
        | ~ ( c2_1 @ X74 ) )
   <= ! [X74: $i] :
        ( ( c0_1 @ X74 )
        | ( c1_1 @ X74 )
        | ~ ( c2_1 @ X74 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl27,plain,
    ! [X31: $i] :
      ( ( c0_1 @ X31 )
      | ~ ( c1_1 @ X31 )
      | ~ ( c2_1 @ X31 )
      | ~ ndr1_0
      | hskp27
      | hskp17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl276,plain,
    ( ! [X31: $i] :
        ( ( c0_1 @ X31 )
        | ~ ( c1_1 @ X31 )
        | ~ ( c2_1 @ X31 ) )
   <= ! [X31: $i] :
        ( ( c0_1 @ X31 )
        | ~ ( c1_1 @ X31 )
        | ~ ( c2_1 @ X31 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl1757,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ( c0_1 @ X0 )
        | ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X31: $i] :
          ( ( c0_1 @ X31 )
          | ~ ( c1_1 @ X31 )
          | ~ ( c2_1 @ X31 ) )
      & ! [X74: $i] :
          ( ( c0_1 @ X74 )
          | ( c1_1 @ X74 )
          | ~ ( c2_1 @ X74 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl368,zip_derived_cl276]) ).

thf(zip_derived_cl1784,plain,
    ( ! [X0: $i] :
        ( ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X31: $i] :
          ( ( c0_1 @ X31 )
          | ~ ( c1_1 @ X31 )
          | ~ ( c2_1 @ X31 ) )
      & ! [X74: $i] :
          ( ( c0_1 @ X74 )
          | ( c1_1 @ X74 )
          | ~ ( c2_1 @ X74 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1757]) ).

thf(zip_derived_cl224_011,plain,
    ( ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ( c3_1 @ X9 )
        | ~ ( c0_1 @ X9 ) )
   <= ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ( c3_1 @ X9 )
        | ~ ( c0_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl99,plain,
    ( ~ hskp19
    | ~ ( c3_1 @ a777 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl486,plain,
    ( ~ ( c3_1 @ a777 )
   <= ~ ( c3_1 @ a777 ) ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl683,plain,
    ( ( ~ ( c0_1 @ a777 )
      | ( c2_1 @ a777 ) )
   <= ( ~ ( c3_1 @ a777 )
      & ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ( c3_1 @ X9 )
          | ~ ( c0_1 @ X9 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl224,zip_derived_cl486]) ).

thf(zip_derived_cl701,plain,
    ( ( c2_1 @ a777 )
   <= ( c2_1 @ a777 ) ),
    inference(split,[status(esa)],[zip_derived_cl683]) ).

thf(zip_derived_cl2790,plain,
    ( ( c0_1 @ a777 )
   <= ( ! [X31: $i] :
          ( ( c0_1 @ X31 )
          | ~ ( c1_1 @ X31 )
          | ~ ( c2_1 @ X31 ) )
      & ! [X74: $i] :
          ( ( c0_1 @ X74 )
          | ( c1_1 @ X74 )
          | ~ ( c2_1 @ X74 ) )
      & ( c2_1 @ a777 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1784,zip_derived_cl701]) ).

thf(zip_derived_cl98,plain,
    ( ~ hskp19
    | ~ ( c0_1 @ a777 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl484,plain,
    ( ~ ( c0_1 @ a777 )
   <= ~ ( c0_1 @ a777 ) ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf('24',plain,
    ( ~ ( c2_1 @ a777 )
    | ~ ! [X74: $i] :
          ( ( c0_1 @ X74 )
          | ( c1_1 @ X74 )
          | ~ ( c2_1 @ X74 ) )
    | ~ ! [X31: $i] :
          ( ( c0_1 @ X31 )
          | ~ ( c1_1 @ X31 )
          | ~ ( c2_1 @ X31 ) )
    | ( c0_1 @ a777 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2790,zip_derived_cl484]) ).

thf('25',plain,
    ( hskp20
    | hskp5
    | ! [X11: $i] :
        ( ( c1_1 @ X11 )
        | ~ ( c2_1 @ X11 )
        | ~ ( c3_1 @ X11 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl170,plain,
    ( ~ hskp1
    | ( c3_1 @ a731 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl628,plain,
    ( ( c3_1 @ a731 )
   <= ( c3_1 @ a731 ) ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl268,plain,
    ( ! [X28: $i] :
        ( ( c2_1 @ X28 )
        | ~ ( c0_1 @ X28 )
        | ~ ( c3_1 @ X28 ) )
   <= ! [X28: $i] :
        ( ( c2_1 @ X28 )
        | ~ ( c0_1 @ X28 )
        | ~ ( c3_1 @ X28 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl1557,plain,
    ( ( ( c2_1 @ a731 )
      | ~ ( c0_1 @ a731 ) )
   <= ( ! [X28: $i] :
          ( ( c2_1 @ X28 )
          | ~ ( c0_1 @ X28 )
          | ~ ( c3_1 @ X28 ) )
      & ( c3_1 @ a731 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl628,zip_derived_cl268]) ).

thf('26',plain,
    ( ~ ! [X28: $i] :
          ( ( c2_1 @ X28 )
          | ~ ( c0_1 @ X28 )
          | ~ ( c3_1 @ X28 ) )
    | ~ ( c0_1 @ a731 )
    | ( c2_1 @ a731 )
    | ~ ( c3_1 @ a731 ) ),
    inference(split,[status(esa)],[zip_derived_cl1557]) ).

thf(zip_derived_cl368_012,plain,
    ( ! [X74: $i] :
        ( ( c0_1 @ X74 )
        | ( c1_1 @ X74 )
        | ~ ( c2_1 @ X74 ) )
   <= ! [X74: $i] :
        ( ( c0_1 @ X74 )
        | ( c1_1 @ X74 )
        | ~ ( c2_1 @ X74 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl143,plain,
    ( ~ hskp8
    | ~ ( c1_1 @ a744 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl574,plain,
    ( ~ ( c1_1 @ a744 )
   <= ~ ( c1_1 @ a744 ) ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(zip_derived_cl1764,plain,
    ( ( ~ ( c2_1 @ a744 )
      | ( c0_1 @ a744 ) )
   <= ( ~ ( c1_1 @ a744 )
      & ! [X74: $i] :
          ( ( c0_1 @ X74 )
          | ( c1_1 @ X74 )
          | ~ ( c2_1 @ X74 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl368,zip_derived_cl574]) ).

thf('27',plain,
    ( ~ ! [X74: $i] :
          ( ( c0_1 @ X74 )
          | ( c1_1 @ X74 )
          | ~ ( c2_1 @ X74 ) )
    | ~ ( c2_1 @ a744 )
    | ( c0_1 @ a744 )
    | ( c1_1 @ a744 ) ),
    inference(split,[status(esa)],[zip_derived_cl1764]) ).

thf(zip_derived_cl52,plain,
    ! [X76: $i,X77: $i] :
      ( ( c0_1 @ X76 )
      | ( c1_1 @ X76 )
      | ~ ( c2_1 @ X76 )
      | ~ ndr1_0
      | ( c0_1 @ X77 )
      | ( c2_1 @ X77 )
      | ~ ( c1_1 @ X77 )
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('28',plain,
    ( ! [X54: $i] :
        ( ( c0_1 @ X54 )
        | ( c2_1 @ X54 )
        | ~ ( c1_1 @ X54 ) )
    | ! [X74: $i] :
        ( ( c0_1 @ X74 )
        | ( c1_1 @ X74 )
        | ~ ( c2_1 @ X74 ) )
    | ~ ndr1_0
    | hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl174,plain,
    ( ~ hskp0
    | ( c3_1 @ a730 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl636,plain,
    ( ( c3_1 @ a730 )
   <= ( c3_1 @ a730 ) ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf(zip_derived_cl268_013,plain,
    ( ! [X28: $i] :
        ( ( c2_1 @ X28 )
        | ~ ( c0_1 @ X28 )
        | ~ ( c3_1 @ X28 ) )
   <= ! [X28: $i] :
        ( ( c2_1 @ X28 )
        | ~ ( c0_1 @ X28 )
        | ~ ( c3_1 @ X28 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl1573,plain,
    ( ( ( c2_1 @ a730 )
      | ~ ( c0_1 @ a730 ) )
   <= ( ! [X28: $i] :
          ( ( c2_1 @ X28 )
          | ~ ( c0_1 @ X28 )
          | ~ ( c3_1 @ X28 ) )
      & ( c3_1 @ a730 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl636,zip_derived_cl268]) ).

thf('29',plain,
    ( ( c2_1 @ a730 )
    | ~ ( c0_1 @ a730 )
    | ~ ! [X28: $i] :
          ( ( c2_1 @ X28 )
          | ~ ( c0_1 @ X28 )
          | ~ ( c3_1 @ X28 ) )
    | ~ ( c3_1 @ a730 ) ),
    inference(split,[status(esa)],[zip_derived_cl1573]) ).

thf(zip_derived_cl636_014,plain,
    ( ( c3_1 @ a730 )
   <= ( c3_1 @ a730 ) ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf(zip_derived_cl7,plain,
    ! [X1: $i] :
      ( ~ ( c0_1 @ X1 )
      | ~ ( c2_1 @ X1 )
      | ~ ( c3_1 @ X1 )
      | ~ ndr1_0
      | hskp21
      | hskp2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl197,plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl1571,plain,
    ( ( ~ ( c0_1 @ a730 )
      | ~ ( c2_1 @ a730 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ( c3_1 @ a730 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl636,zip_derived_cl197]) ).

thf('30',plain,
    ( ~ ( c0_1 @ a730 )
    | ~ ( c2_1 @ a730 )
    | ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c3_1 @ a730 ) ),
    inference(split,[status(esa)],[zip_derived_cl1571]) ).

thf('31',plain,
    ( ! [X26: $i] :
        ( ( c0_1 @ X26 )
        | ~ ( c2_1 @ X26 )
        | ~ ( c3_1 @ X26 ) )
    | ! [X11: $i] :
        ( ( c1_1 @ X11 )
        | ~ ( c2_1 @ X11 )
        | ~ ( c3_1 @ X11 ) )
    | ~ ndr1_0
    | ! [X28: $i] :
        ( ( c2_1 @ X28 )
        | ~ ( c0_1 @ X28 )
        | ~ ( c3_1 @ X28 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl285,plain,
    ( ! [X34: $i] :
        ( ( c0_1 @ X34 )
        | ( c3_1 @ X34 )
        | ~ ( c2_1 @ X34 ) )
   <= ! [X34: $i] :
        ( ( c0_1 @ X34 )
        | ( c3_1 @ X34 )
        | ~ ( c2_1 @ X34 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl159,plain,
    ( ~ hskp4
    | ~ ( c3_1 @ a734 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl606,plain,
    ( ~ ( c3_1 @ a734 )
   <= ~ ( c3_1 @ a734 ) ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl1264,plain,
    ( ( ~ ( c2_1 @ a734 )
      | ( c0_1 @ a734 ) )
   <= ( ~ ( c3_1 @ a734 )
      & ! [X34: $i] :
          ( ( c0_1 @ X34 )
          | ( c3_1 @ X34 )
          | ~ ( c2_1 @ X34 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl285,zip_derived_cl606]) ).

thf('32',plain,
    ( ( c0_1 @ a734 )
    | ~ ! [X34: $i] :
          ( ( c0_1 @ X34 )
          | ( c3_1 @ X34 )
          | ~ ( c2_1 @ X34 ) )
    | ( c3_1 @ a734 )
    | ~ ( c2_1 @ a734 ) ),
    inference(split,[status(esa)],[zip_derived_cl1264]) ).

thf(zip_derived_cl93,plain,
    ( ~ hskp20
    | ( c2_1 @ a779 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('33',plain,
    ( ( c2_1 @ a779 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf(zip_derived_cl94,plain,
    ( ~ hskp20
    | ~ ( c1_1 @ a779 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('34',plain,
    ( ~ ( c1_1 @ a779 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf(zip_derived_cl95,plain,
    ( ~ hskp20
    | ~ ( c3_1 @ a779 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('35',plain,
    ( ~ ( c3_1 @ a779 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl241,plain,
    ( ! [X13: $i] :
        ( ( c1_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c2_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c1_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c2_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl476,plain,
    ( ~ ( c1_1 @ a779 )
   <= ~ ( c1_1 @ a779 ) ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf(zip_derived_cl846,plain,
    ( ( ~ ( c2_1 @ a779 )
      | ( c3_1 @ a779 ) )
   <= ( ~ ( c1_1 @ a779 )
      & ! [X13: $i] :
          ( ( c1_1 @ X13 )
          | ( c3_1 @ X13 )
          | ~ ( c2_1 @ X13 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl241,zip_derived_cl476]) ).

thf('36',plain,
    ( ~ ! [X13: $i] :
          ( ( c1_1 @ X13 )
          | ( c3_1 @ X13 )
          | ~ ( c2_1 @ X13 ) )
    | ( c1_1 @ a779 )
    | ( c3_1 @ a779 )
    | ~ ( c2_1 @ a779 ) ),
    inference(split,[status(esa)],[zip_derived_cl846]) ).

thf(zip_derived_cl241_015,plain,
    ( ! [X13: $i] :
        ( ( c1_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c2_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c1_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c2_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl524_016,plain,
    ( ~ ( c1_1 @ a762 )
   <= ~ ( c1_1 @ a762 ) ),
    inference(split,[status(esa)],[zip_derived_cl118]) ).

thf(zip_derived_cl845,plain,
    ( ( ~ ( c2_1 @ a762 )
      | ( c3_1 @ a762 ) )
   <= ( ~ ( c1_1 @ a762 )
      & ! [X13: $i] :
          ( ( c1_1 @ X13 )
          | ( c3_1 @ X13 )
          | ~ ( c2_1 @ X13 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl241,zip_derived_cl524]) ).

thf(zip_derived_cl2324,plain,
    ( ( c3_1 @ a762 )
   <= ( c3_1 @ a762 ) ),
    inference(split,[status(esa)],[zip_derived_cl845]) ).

thf(zip_derived_cl268_017,plain,
    ( ! [X28: $i] :
        ( ( c2_1 @ X28 )
        | ~ ( c0_1 @ X28 )
        | ~ ( c3_1 @ X28 ) )
   <= ! [X28: $i] :
        ( ( c2_1 @ X28 )
        | ~ ( c0_1 @ X28 )
        | ~ ( c3_1 @ X28 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl2332,plain,
    ( ( ( c2_1 @ a762 )
      | ~ ( c0_1 @ a762 ) )
   <= ( ! [X28: $i] :
          ( ( c2_1 @ X28 )
          | ~ ( c0_1 @ X28 )
          | ~ ( c3_1 @ X28 ) )
      & ( c3_1 @ a762 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2324,zip_derived_cl268]) ).

thf('37',plain,
    ( ~ ( c0_1 @ a762 )
    | ( c2_1 @ a762 )
    | ~ ! [X28: $i] :
          ( ( c2_1 @ X28 )
          | ~ ( c0_1 @ X28 )
          | ~ ( c3_1 @ X28 ) )
    | ~ ( c3_1 @ a762 ) ),
    inference(split,[status(esa)],[zip_derived_cl2332]) ).

thf(zip_derived_cl8,plain,
    ! [X2: $i] :
      ( ~ ( c0_1 @ X2 )
      | ~ ( c2_1 @ X2 )
      | ~ ( c3_1 @ X2 )
      | ~ ndr1_0
      | hskp21 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('38',plain,
    ( hskp21
    | ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf('39',plain,
    ( ( c0_1 @ a793 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf('40',plain,
    ( ( c3_1 @ a793 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl91,plain,
    ( ~ hskp21
    | ~ ( c2_1 @ a793 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('41',plain,
    ( ~ ( c2_1 @ a793 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl468_018,plain,
    ( ( c3_1 @ a793 )
   <= ( c3_1 @ a793 ) ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl268_019,plain,
    ( ! [X28: $i] :
        ( ( c2_1 @ X28 )
        | ~ ( c0_1 @ X28 )
        | ~ ( c3_1 @ X28 ) )
   <= ! [X28: $i] :
        ( ( c2_1 @ X28 )
        | ~ ( c0_1 @ X28 )
        | ~ ( c3_1 @ X28 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl1331,plain,
    ( ( ( c2_1 @ a793 )
      | ~ ( c0_1 @ a793 ) )
   <= ( ! [X28: $i] :
          ( ( c2_1 @ X28 )
          | ~ ( c0_1 @ X28 )
          | ~ ( c3_1 @ X28 ) )
      & ( c3_1 @ a793 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl468,zip_derived_cl268]) ).

thf('42',plain,
    ( ~ ! [X28: $i] :
          ( ( c2_1 @ X28 )
          | ~ ( c0_1 @ X28 )
          | ~ ( c3_1 @ X28 ) )
    | ~ ( c0_1 @ a793 )
    | ( c2_1 @ a793 )
    | ~ ( c3_1 @ a793 ) ),
    inference(split,[status(esa)],[zip_derived_cl1331]) ).

thf(zip_derived_cl232_020,plain,
    ( ! [X11: $i] :
        ( ( c1_1 @ X11 )
        | ~ ( c2_1 @ X11 )
        | ~ ( c3_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c1_1 @ X11 )
        | ~ ( c2_1 @ X11 )
        | ~ ( c3_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl284_021,plain,
    ( ! [X35: $i] :
        ( ~ ( c0_1 @ X35 )
        | ~ ( c1_1 @ X35 )
        | ~ ( c3_1 @ X35 ) )
   <= ! [X35: $i] :
        ( ~ ( c0_1 @ X35 )
        | ~ ( c1_1 @ X35 )
        | ~ ( c3_1 @ X35 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl1027,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X11: $i] :
          ( ( c1_1 @ X11 )
          | ~ ( c2_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
      & ! [X35: $i] :
          ( ~ ( c0_1 @ X35 )
          | ~ ( c1_1 @ X35 )
          | ~ ( c3_1 @ X35 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl232,zip_derived_cl284]) ).

thf(zip_derived_cl1032,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X11: $i] :
          ( ( c1_1 @ X11 )
          | ~ ( c2_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
      & ! [X35: $i] :
          ( ~ ( c0_1 @ X35 )
          | ~ ( c1_1 @ X35 )
          | ~ ( c3_1 @ X35 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1027]) ).

thf(zip_derived_cl75,plain,
    ( ~ hskp25
    | ( c3_1 @ a729 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl438,plain,
    ( ( c3_1 @ a729 )
   <= ( c3_1 @ a729 ) ),
    inference(split,[status(esa)],[zip_derived_cl75]) ).

thf(zip_derived_cl2571,plain,
    ( ( ~ ( c2_1 @ a729 )
      | ~ ( c0_1 @ a729 ) )
   <= ( ! [X11: $i] :
          ( ( c1_1 @ X11 )
          | ~ ( c2_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
      & ! [X35: $i] :
          ( ~ ( c0_1 @ X35 )
          | ~ ( c1_1 @ X35 )
          | ~ ( c3_1 @ X35 ) )
      & ( c3_1 @ a729 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1032,zip_derived_cl438]) ).

thf('43',plain,
    ( ~ ( c0_1 @ a729 )
    | ~ ( c3_1 @ a729 )
    | ~ ! [X35: $i] :
          ( ~ ( c0_1 @ X35 )
          | ~ ( c1_1 @ X35 )
          | ~ ( c3_1 @ X35 ) )
    | ~ ( c2_1 @ a729 )
    | ~ ! [X11: $i] :
          ( ( c1_1 @ X11 )
          | ~ ( c2_1 @ X11 )
          | ~ ( c3_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl2571]) ).

thf(zip_derived_cl109,plain,
    ( ~ hskp16
    | ( c0_1 @ a764 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('44',plain,
    ( ( c0_1 @ a764 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf(zip_derived_cl110,plain,
    ( ~ hskp16
    | ( c2_1 @ a764 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('45',plain,
    ( ( c2_1 @ a764 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl110]) ).

thf(zip_derived_cl111,plain,
    ( ~ hskp16
    | ~ ( c3_1 @ a764 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('46',plain,
    ( ~ ( c3_1 @ a764 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf('47',plain,
    ( hskp3
    | hskp16
    | ~ ndr1_0
    | ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ( c3_1 @ X9 )
        | ~ ( c0_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl161,plain,
    ( ~ hskp3
    | ( c2_1 @ a733 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('48',plain,
    ( ( c2_1 @ a733 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl163,plain,
    ( ~ hskp3
    | ~ ( c1_1 @ a733 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('49',plain,
    ( ~ ( c1_1 @ a733 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl614,plain,
    ( ~ ( c1_1 @ a733 )
   <= ~ ( c1_1 @ a733 ) ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl232_022,plain,
    ( ! [X11: $i] :
        ( ( c1_1 @ X11 )
        | ~ ( c2_1 @ X11 )
        | ~ ( c3_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c1_1 @ X11 )
        | ~ ( c2_1 @ X11 )
        | ~ ( c3_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl784,plain,
    ( ( ~ ( c2_1 @ a733 )
      | ~ ( c3_1 @ a733 ) )
   <= ( ~ ( c1_1 @ a733 )
      & ! [X11: $i] :
          ( ( c1_1 @ X11 )
          | ~ ( c2_1 @ X11 )
          | ~ ( c3_1 @ X11 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl614,zip_derived_cl232]) ).

thf('50',plain,
    ( ~ ( c3_1 @ a733 )
    | ( c1_1 @ a733 )
    | ~ ! [X11: $i] :
          ( ( c1_1 @ X11 )
          | ~ ( c2_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
    | ~ ( c2_1 @ a733 ) ),
    inference(split,[status(esa)],[zip_derived_cl784]) ).

thf(zip_derived_cl241_023,plain,
    ( ! [X13: $i] :
        ( ( c1_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c2_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c1_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c2_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl614_024,plain,
    ( ~ ( c1_1 @ a733 )
   <= ~ ( c1_1 @ a733 ) ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl840,plain,
    ( ( ~ ( c2_1 @ a733 )
      | ( c3_1 @ a733 ) )
   <= ( ~ ( c1_1 @ a733 )
      & ! [X13: $i] :
          ( ( c1_1 @ X13 )
          | ( c3_1 @ X13 )
          | ~ ( c2_1 @ X13 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl241,zip_derived_cl614]) ).

thf('51',plain,
    ( ( c3_1 @ a733 )
    | ~ ! [X13: $i] :
          ( ( c1_1 @ X13 )
          | ( c3_1 @ X13 )
          | ~ ( c2_1 @ X13 ) )
    | ( c1_1 @ a733 )
    | ~ ( c2_1 @ a733 ) ),
    inference(split,[status(esa)],[zip_derived_cl840]) ).

thf('52',plain,
    ( ! [X13: $i] :
        ( ( c1_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c2_1 @ X13 ) )
    | ! [X17: $i] :
        ( ~ ( c0_1 @ X17 )
        | ~ ( c1_1 @ X17 )
        | ~ ( c2_1 @ X17 ) )
    | ~ ndr1_0
    | ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ( c3_1 @ X9 )
        | ~ ( c0_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl241_025,plain,
    ( ! [X13: $i] :
        ( ( c1_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c2_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c1_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c2_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl212_026,plain,
    ( ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl836,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ( c3_1 @ X0 )
        | ( c3_1 @ X0 )
        | ~ ( c0_1 @ X0 ) )
   <= ( ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c1_1 @ X5 ) )
      & ! [X13: $i] :
          ( ( c1_1 @ X13 )
          | ( c3_1 @ X13 )
          | ~ ( c2_1 @ X13 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl241,zip_derived_cl212]) ).

thf(zip_derived_cl859,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c1_1 @ X5 ) )
      & ! [X13: $i] :
          ( ( c1_1 @ X13 )
          | ( c3_1 @ X13 )
          | ~ ( c2_1 @ X13 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl836]) ).

thf(zip_derived_cl510,plain,
    ( ~ ( c3_1 @ a764 )
   <= ~ ( c3_1 @ a764 ) ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl3149,plain,
    ( ( ~ ( c2_1 @ a764 )
      | ~ ( c0_1 @ a764 ) )
   <= ( ~ ( c3_1 @ a764 )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c1_1 @ X5 ) )
      & ! [X13: $i] :
          ( ( c1_1 @ X13 )
          | ( c3_1 @ X13 )
          | ~ ( c2_1 @ X13 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl859,zip_derived_cl510]) ).

thf('53',plain,
    ( ~ ! [X13: $i] :
          ( ( c1_1 @ X13 )
          | ( c3_1 @ X13 )
          | ~ ( c2_1 @ X13 ) )
    | ~ ( c2_1 @ a764 )
    | ~ ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c1_1 @ X5 ) )
    | ~ ( c0_1 @ a764 )
    | ( c3_1 @ a764 ) ),
    inference(split,[status(esa)],[zip_derived_cl3149]) ).

thf(zip_derived_cl66,plain,
    ( ~ hskp27
    | ( c1_1 @ a750 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl420,plain,
    ( ( c1_1 @ a750 )
   <= ( c1_1 @ a750 ) ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf(zip_derived_cl245_027,plain,
    ( ! [X17: $i] :
        ( ~ ( c0_1 @ X17 )
        | ~ ( c1_1 @ X17 )
        | ~ ( c2_1 @ X17 ) )
   <= ! [X17: $i] :
        ( ~ ( c0_1 @ X17 )
        | ~ ( c1_1 @ X17 )
        | ~ ( c2_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl1196,plain,
    ( ( ~ ( c0_1 @ a750 )
      | ~ ( c2_1 @ a750 ) )
   <= ( ! [X17: $i] :
          ( ~ ( c0_1 @ X17 )
          | ~ ( c1_1 @ X17 )
          | ~ ( c2_1 @ X17 ) )
      & ( c1_1 @ a750 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl420,zip_derived_cl245]) ).

thf('54',plain,
    ( ~ ( c0_1 @ a750 )
    | ~ ( c2_1 @ a750 )
    | ~ ! [X17: $i] :
          ( ~ ( c0_1 @ X17 )
          | ~ ( c1_1 @ X17 )
          | ~ ( c2_1 @ X17 ) )
    | ~ ( c1_1 @ a750 ) ),
    inference(split,[status(esa)],[zip_derived_cl1196]) ).

thf(zip_derived_cl73,plain,
    ( ~ hskp25
    | ( c0_1 @ a729 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('55',plain,
    ( ~ hskp25
    | ( c0_1 @ a729 ) ),
    inference(split,[status(esa)],[zip_derived_cl73]) ).

thf(zip_derived_cl438_028,plain,
    ( ( c3_1 @ a729 )
   <= ( c3_1 @ a729 ) ),
    inference(split,[status(esa)],[zip_derived_cl75]) ).

thf(zip_derived_cl197_029,plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl1247,plain,
    ( ( ~ ( c0_1 @ a729 )
      | ~ ( c2_1 @ a729 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ( c3_1 @ a729 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl438,zip_derived_cl197]) ).

thf('56',plain,
    ( ~ ( c0_1 @ a729 )
    | ~ ( c3_1 @ a729 )
    | ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c2_1 @ a729 ) ),
    inference(split,[status(esa)],[zip_derived_cl1247]) ).

thf('57',plain,
    ( ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c1_1 @ X86 )
        | ( c2_1 @ X86 ) )
    | hskp0
    | ~ ndr1_0
    | hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf(zip_derived_cl396_030,plain,
    ( ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c1_1 @ X86 )
        | ( c2_1 @ X86 ) )
   <= ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c1_1 @ X86 )
        | ( c2_1 @ X86 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf(zip_derived_cl574_031,plain,
    ( ~ ( c1_1 @ a744 )
   <= ~ ( c1_1 @ a744 ) ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(zip_derived_cl1840,plain,
    ( ( ( c2_1 @ a744 )
      | ( c0_1 @ a744 ) )
   <= ( ~ ( c1_1 @ a744 )
      & ! [X86: $i] :
          ( ( c0_1 @ X86 )
          | ( c1_1 @ X86 )
          | ( c2_1 @ X86 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl396,zip_derived_cl574]) ).

thf('58',plain,
    ( ( c2_1 @ a744 )
    | ~ ! [X86: $i] :
          ( ( c0_1 @ X86 )
          | ( c1_1 @ X86 )
          | ( c2_1 @ X86 ) )
    | ( c1_1 @ a744 )
    | ( c0_1 @ a744 ) ),
    inference(split,[status(esa)],[zip_derived_cl1840]) ).

thf(zip_derived_cl368_032,plain,
    ( ! [X74: $i] :
        ( ( c0_1 @ X74 )
        | ( c1_1 @ X74 )
        | ~ ( c2_1 @ X74 ) )
   <= ! [X74: $i] :
        ( ( c0_1 @ X74 )
        | ( c1_1 @ X74 )
        | ~ ( c2_1 @ X74 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl130,plain,
    ( ~ hskp11
    | ~ ( c1_1 @ a749 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl548,plain,
    ( ~ ( c1_1 @ a749 )
   <= ~ ( c1_1 @ a749 ) ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(zip_derived_cl1766,plain,
    ( ( ~ ( c2_1 @ a749 )
      | ( c0_1 @ a749 ) )
   <= ( ~ ( c1_1 @ a749 )
      & ! [X74: $i] :
          ( ( c0_1 @ X74 )
          | ( c1_1 @ X74 )
          | ~ ( c2_1 @ X74 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl368,zip_derived_cl548]) ).

thf('59',plain,
    ( ~ ( c2_1 @ a749 )
    | ( c1_1 @ a749 )
    | ~ ! [X74: $i] :
          ( ( c0_1 @ X74 )
          | ( c1_1 @ X74 )
          | ~ ( c2_1 @ X74 ) )
    | ( c0_1 @ a749 ) ),
    inference(split,[status(esa)],[zip_derived_cl1766]) ).

thf(zip_derived_cl82,plain,
    ( ~ hskp23
    | ( c1_1 @ a798 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl452,plain,
    ( ( c1_1 @ a798 )
   <= ( c1_1 @ a798 ) ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl212_033,plain,
    ( ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl1305,plain,
    ( ( ( c3_1 @ a798 )
      | ~ ( c0_1 @ a798 ) )
   <= ( ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c1_1 @ X5 ) )
      & ( c1_1 @ a798 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl452,zip_derived_cl212]) ).

thf('60',plain,
    ( ~ ( c1_1 @ a798 )
    | ( c3_1 @ a798 )
    | ~ ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c1_1 @ X5 ) )
    | ~ ( c0_1 @ a798 ) ),
    inference(split,[status(esa)],[zip_derived_cl1305]) ).

thf(zip_derived_cl81,plain,
    ( ~ hskp23
    | ( c0_1 @ a798 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('61',plain,
    ( ( c0_1 @ a798 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf('62',plain,
    ( ( c1_1 @ a798 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl83,plain,
    ( ~ hskp23
    | ~ ( c3_1 @ a798 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('63',plain,
    ( ~ ( c3_1 @ a798 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl4,plain,
    ( hskp23
    | hskp24
    | hskp13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('64',plain,
    ( hskp24
    | hskp23
    | hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf('65',plain,
    ( hskp2
    | hskp1
    | ! [X74: $i] :
        ( ( c0_1 @ X74 )
        | ( c1_1 @ X74 )
        | ~ ( c2_1 @ X74 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl77,plain,
    ( ~ hskp24
    | ( c0_1 @ a802 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('66',plain,
    ( ( c0_1 @ a802 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl77]) ).

thf(zip_derived_cl78,plain,
    ( ~ hskp24
    | ~ ( c2_1 @ a802 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('67',plain,
    ( ~ ( c2_1 @ a802 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl78]) ).

thf('68',plain,
    ( ~ ( c3_1 @ a802 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl79]) ).

thf(zip_derived_cl224_034,plain,
    ( ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ( c3_1 @ X9 )
        | ~ ( c0_1 @ X9 ) )
   <= ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ( c3_1 @ X9 )
        | ~ ( c0_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl446_035,plain,
    ( ~ ( c3_1 @ a802 )
   <= ~ ( c3_1 @ a802 ) ),
    inference(split,[status(esa)],[zip_derived_cl79]) ).

thf(zip_derived_cl686,plain,
    ( ( ~ ( c0_1 @ a802 )
      | ( c2_1 @ a802 ) )
   <= ( ~ ( c3_1 @ a802 )
      & ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ( c3_1 @ X9 )
          | ~ ( c0_1 @ X9 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl224,zip_derived_cl446]) ).

thf('69',plain,
    ( ~ ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ( c3_1 @ X9 )
          | ~ ( c0_1 @ X9 ) )
    | ( c2_1 @ a802 )
    | ( c3_1 @ a802 )
    | ~ ( c0_1 @ a802 ) ),
    inference(split,[status(esa)],[zip_derived_cl686]) ).

thf(zip_derived_cl165,plain,
    ( ~ hskp2
    | ~ ( c0_1 @ a732 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('70',plain,
    ( ~ ( c0_1 @ a732 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl166,plain,
    ( ~ hskp2
    | ~ ( c2_1 @ a732 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('71',plain,
    ( ~ ( c2_1 @ a732 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl166]) ).

thf('72',plain,
    ( ~ ( c3_1 @ a732 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl167]) ).

thf(zip_derived_cl44,plain,
    ! [X62: $i] :
      ( ( c0_1 @ X62 )
      | ( c2_1 @ X62 )
      | ( c3_1 @ X62 )
      | ~ ndr1_0
      | hskp5
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl344,plain,
    ( ! [X62: $i] :
        ( ( c0_1 @ X62 )
        | ( c2_1 @ X62 )
        | ( c3_1 @ X62 ) )
   <= ! [X62: $i] :
        ( ( c0_1 @ X62 )
        | ( c2_1 @ X62 )
        | ( c3_1 @ X62 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl44]) ).

thf(zip_derived_cl622_036,plain,
    ( ~ ( c3_1 @ a732 )
   <= ~ ( c3_1 @ a732 ) ),
    inference(split,[status(esa)],[zip_derived_cl167]) ).

thf(zip_derived_cl1667,plain,
    ( ( ( c2_1 @ a732 )
      | ( c0_1 @ a732 ) )
   <= ( ~ ( c3_1 @ a732 )
      & ! [X62: $i] :
          ( ( c0_1 @ X62 )
          | ( c2_1 @ X62 )
          | ( c3_1 @ X62 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl344,zip_derived_cl622]) ).

thf('73',plain,
    ( ~ ! [X62: $i] :
          ( ( c0_1 @ X62 )
          | ( c2_1 @ X62 )
          | ( c3_1 @ X62 ) )
    | ( c0_1 @ a732 )
    | ( c2_1 @ a732 )
    | ( c3_1 @ a732 ) ),
    inference(split,[status(esa)],[zip_derived_cl1667]) ).

thf(zip_derived_cl169,plain,
    ( ~ hskp1
    | ( c1_1 @ a731 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl626,plain,
    ( ( c1_1 @ a731 )
   <= ( c1_1 @ a731 ) ),
    inference(split,[status(esa)],[zip_derived_cl169]) ).

thf(zip_derived_cl284_037,plain,
    ( ! [X35: $i] :
        ( ~ ( c0_1 @ X35 )
        | ~ ( c1_1 @ X35 )
        | ~ ( c3_1 @ X35 ) )
   <= ! [X35: $i] :
        ( ~ ( c0_1 @ X35 )
        | ~ ( c1_1 @ X35 )
        | ~ ( c3_1 @ X35 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl1550,plain,
    ( ( ~ ( c0_1 @ a731 )
      | ~ ( c3_1 @ a731 ) )
   <= ( ! [X35: $i] :
          ( ~ ( c0_1 @ X35 )
          | ~ ( c1_1 @ X35 )
          | ~ ( c3_1 @ X35 ) )
      & ( c1_1 @ a731 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl626,zip_derived_cl284]) ).

thf('74',plain,
    ( ~ ! [X35: $i] :
          ( ~ ( c0_1 @ X35 )
          | ~ ( c1_1 @ X35 )
          | ~ ( c3_1 @ X35 ) )
    | ~ ( c0_1 @ a731 )
    | ~ ( c3_1 @ a731 )
    | ~ ( c1_1 @ a731 ) ),
    inference(split,[status(esa)],[zip_derived_cl1550]) ).

thf(zip_derived_cl149,plain,
    ( ~ hskp6
    | ( c1_1 @ a738 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl586,plain,
    ( ( c1_1 @ a738 )
   <= ( c1_1 @ a738 ) ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl240_038,plain,
    ( ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ~ ( c1_1 @ X14 )
        | ~ ( c3_1 @ X14 ) )
   <= ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ~ ( c1_1 @ X14 )
        | ~ ( c3_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl1493,plain,
    ( ( ( c2_1 @ a738 )
      | ~ ( c3_1 @ a738 ) )
   <= ( ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ~ ( c1_1 @ X14 )
          | ~ ( c3_1 @ X14 ) )
      & ( c1_1 @ a738 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl586,zip_derived_cl240]) ).

thf('75',plain,
    ( ~ ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ~ ( c1_1 @ X14 )
          | ~ ( c3_1 @ X14 ) )
    | ~ ( c3_1 @ a738 )
    | ( c2_1 @ a738 )
    | ~ ( c1_1 @ a738 ) ),
    inference(split,[status(esa)],[zip_derived_cl1493]) ).

thf(zip_derived_cl586_039,plain,
    ( ( c1_1 @ a738 )
   <= ( c1_1 @ a738 ) ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl40,plain,
    ! [X54: $i,X55: $i] :
      ( ( c0_1 @ X54 )
      | ( c2_1 @ X54 )
      | ~ ( c1_1 @ X54 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X55 )
      | ~ ( c1_1 @ X55 )
      | ~ ( c2_1 @ X55 )
      | ~ ndr1_0
      | hskp27 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl329,plain,
    ( ! [X54: $i] :
        ( ( c0_1 @ X54 )
        | ( c2_1 @ X54 )
        | ~ ( c1_1 @ X54 ) )
   <= ! [X54: $i] :
        ( ( c0_1 @ X54 )
        | ( c2_1 @ X54 )
        | ~ ( c1_1 @ X54 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl1640,plain,
    ( ( ( c0_1 @ a738 )
      | ( c2_1 @ a738 ) )
   <= ( ! [X54: $i] :
          ( ( c0_1 @ X54 )
          | ( c2_1 @ X54 )
          | ~ ( c1_1 @ X54 ) )
      & ( c1_1 @ a738 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl586,zip_derived_cl329]) ).

thf('76',plain,
    ( ~ ( c1_1 @ a738 )
    | ( c2_1 @ a738 )
    | ~ ! [X54: $i] :
          ( ( c0_1 @ X54 )
          | ( c2_1 @ X54 )
          | ~ ( c1_1 @ X54 ) )
    | ( c0_1 @ a738 ) ),
    inference(split,[status(esa)],[zip_derived_cl1640]) ).

thf(zip_derived_cl151,plain,
    ( ~ hskp6
    | ~ ( c2_1 @ a738 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('77',plain,
    ( ~ ( c2_1 @ a738 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl344_040,plain,
    ( ! [X62: $i] :
        ( ( c0_1 @ X62 )
        | ( c2_1 @ X62 )
        | ( c3_1 @ X62 ) )
   <= ! [X62: $i] :
        ( ( c0_1 @ X62 )
        | ( c2_1 @ X62 )
        | ( c3_1 @ X62 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl44]) ).

thf(zip_derived_cl103,plain,
    ( ~ hskp18
    | ~ ( c3_1 @ a775 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl494,plain,
    ( ~ ( c3_1 @ a775 )
   <= ~ ( c3_1 @ a775 ) ),
    inference(split,[status(esa)],[zip_derived_cl103]) ).

thf(zip_derived_cl1677,plain,
    ( ( ( c2_1 @ a775 )
      | ( c0_1 @ a775 ) )
   <= ( ~ ( c3_1 @ a775 )
      & ! [X62: $i] :
          ( ( c0_1 @ X62 )
          | ( c2_1 @ X62 )
          | ( c3_1 @ X62 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl344,zip_derived_cl494]) ).

thf('78',plain,
    ( ~ ! [X62: $i] :
          ( ( c0_1 @ X62 )
          | ( c2_1 @ X62 )
          | ( c3_1 @ X62 ) )
    | ( c0_1 @ a775 )
    | ( c3_1 @ a775 )
    | ( c2_1 @ a775 ) ),
    inference(split,[status(esa)],[zip_derived_cl1677]) ).

thf(zip_derived_cl155,plain,
    ( ~ hskp5
    | ~ ( c0_1 @ a735 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('79',plain,
    ( ~ ( c0_1 @ a735 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf(zip_derived_cl154,plain,
    ( ~ hskp5
    | ( c3_1 @ a735 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl596,plain,
    ( ( c3_1 @ a735 )
   <= ( c3_1 @ a735 ) ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl270_041,plain,
    ( ! [X26: $i] :
        ( ( c0_1 @ X26 )
        | ~ ( c2_1 @ X26 )
        | ~ ( c3_1 @ X26 ) )
   <= ! [X26: $i] :
        ( ( c0_1 @ X26 )
        | ~ ( c2_1 @ X26 )
        | ~ ( c3_1 @ X26 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl1503,plain,
    ( ( ( c0_1 @ a735 )
      | ~ ( c2_1 @ a735 ) )
   <= ( ! [X26: $i] :
          ( ( c0_1 @ X26 )
          | ~ ( c2_1 @ X26 )
          | ~ ( c3_1 @ X26 ) )
      & ( c3_1 @ a735 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl596,zip_derived_cl270]) ).

thf('80',plain,
    ( ~ ( c2_1 @ a735 )
    | ~ ( c3_1 @ a735 )
    | ~ ! [X26: $i] :
          ( ( c0_1 @ X26 )
          | ~ ( c2_1 @ X26 )
          | ~ ( c3_1 @ X26 ) )
    | ( c0_1 @ a735 ) ),
    inference(split,[status(esa)],[zip_derived_cl1503]) ).

thf(zip_derived_cl285_042,plain,
    ( ! [X34: $i] :
        ( ( c0_1 @ X34 )
        | ( c3_1 @ X34 )
        | ~ ( c2_1 @ X34 ) )
   <= ! [X34: $i] :
        ( ( c0_1 @ X34 )
        | ( c3_1 @ X34 )
        | ~ ( c2_1 @ X34 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl131,plain,
    ( ~ hskp11
    | ~ ( c3_1 @ a749 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl550,plain,
    ( ~ ( c3_1 @ a749 )
   <= ~ ( c3_1 @ a749 ) ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf(zip_derived_cl1267,plain,
    ( ( ~ ( c2_1 @ a749 )
      | ( c0_1 @ a749 ) )
   <= ( ~ ( c3_1 @ a749 )
      & ! [X34: $i] :
          ( ( c0_1 @ X34 )
          | ( c3_1 @ X34 )
          | ~ ( c2_1 @ X34 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl285,zip_derived_cl550]) ).

thf('81',plain,
    ( ~ ! [X34: $i] :
          ( ( c0_1 @ X34 )
          | ( c3_1 @ X34 )
          | ~ ( c2_1 @ X34 ) )
    | ~ ( c2_1 @ a749 )
    | ( c3_1 @ a749 )
    | ( c0_1 @ a749 ) ),
    inference(split,[status(esa)],[zip_derived_cl1267]) ).

thf('82',plain,
    ( ~ hskp18
    | ~ ( c3_1 @ a775 ) ),
    inference(split,[status(esa)],[zip_derived_cl103]) ).

thf(zip_derived_cl224_043,plain,
    ( ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ( c3_1 @ X9 )
        | ~ ( c0_1 @ X9 ) )
   <= ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ( c3_1 @ X9 )
        | ~ ( c0_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl494_044,plain,
    ( ~ ( c3_1 @ a775 )
   <= ~ ( c3_1 @ a775 ) ),
    inference(split,[status(esa)],[zip_derived_cl103]) ).

thf(zip_derived_cl682,plain,
    ( ( ~ ( c0_1 @ a775 )
      | ( c2_1 @ a775 ) )
   <= ( ~ ( c3_1 @ a775 )
      & ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ( c3_1 @ X9 )
          | ~ ( c0_1 @ X9 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl224,zip_derived_cl494]) ).

thf('83',plain,
    ( ~ ( c0_1 @ a775 )
    | ( c2_1 @ a775 )
    | ~ ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ( c3_1 @ X9 )
          | ~ ( c0_1 @ X9 ) )
    | ( c3_1 @ a775 ) ),
    inference(split,[status(esa)],[zip_derived_cl682]) ).

thf(zip_derived_cl15,plain,
    ! [X10: $i] :
      ( ( c2_1 @ X10 )
      | ( c3_1 @ X10 )
      | ~ ( c0_1 @ X10 )
      | ~ ndr1_0
      | hskp25
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('84',plain,
    ( hskp25
    | hskp9
    | ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ( c3_1 @ X9 )
        | ~ ( c0_1 @ X9 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

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

thf('85',plain,
    ( ! [X54: $i] :
        ( ( c0_1 @ X54 )
        | ( c2_1 @ X54 )
        | ~ ( c1_1 @ X54 ) )
    | hskp10
    | ~ ndr1_0
    | ! [X26: $i] :
        ( ( c0_1 @ X26 )
        | ~ ( c2_1 @ X26 )
        | ~ ( c3_1 @ X26 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl133,plain,
    ( ~ hskp10
    | ~ ( c0_1 @ a748 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('86',plain,
    ( ~ hskp10
    | ~ ( c0_1 @ a748 ) ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf(zip_derived_cl134,plain,
    ( ~ hskp10
    | ~ ( c1_1 @ a748 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('87',plain,
    ( ~ hskp10
    | ~ ( c1_1 @ a748 ) ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl135,plain,
    ( ~ hskp10
    | ~ ( c2_1 @ a748 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('88',plain,
    ( ~ hskp10
    | ~ ( c2_1 @ a748 ) ),
    inference(split,[status(esa)],[zip_derived_cl135]) ).

thf(zip_derived_cl396_045,plain,
    ( ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c1_1 @ X86 )
        | ( c2_1 @ X86 ) )
   <= ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c1_1 @ X86 )
        | ( c2_1 @ X86 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf(zip_derived_cl556,plain,
    ( ~ ( c1_1 @ a748 )
   <= ~ ( c1_1 @ a748 ) ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl1841,plain,
    ( ( ( c2_1 @ a748 )
      | ( c0_1 @ a748 ) )
   <= ( ~ ( c1_1 @ a748 )
      & ! [X86: $i] :
          ( ( c0_1 @ X86 )
          | ( c1_1 @ X86 )
          | ( c2_1 @ X86 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl396,zip_derived_cl556]) ).

thf('89',plain,
    ( ( c1_1 @ a748 )
    | ( c2_1 @ a748 )
    | ~ ! [X86: $i] :
          ( ( c0_1 @ X86 )
          | ( c1_1 @ X86 )
          | ( c2_1 @ X86 ) )
    | ( c0_1 @ a748 ) ),
    inference(split,[status(esa)],[zip_derived_cl1841]) ).

thf(zip_derived_cl420_046,plain,
    ( ( c1_1 @ a750 )
   <= ( c1_1 @ a750 ) ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf(zip_derived_cl10,plain,
    ! [X4: $i] :
      ( ( c3_1 @ X4 )
      | ~ ( c1_1 @ X4 )
      | ~ ( c2_1 @ X4 )
      | ~ ndr1_0
      | hskp27
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl208,plain,
    ( ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl1192,plain,
    ( ( ( c3_1 @ a750 )
      | ~ ( c2_1 @ a750 ) )
   <= ( ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
      & ( c1_1 @ a750 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl420,zip_derived_cl208]) ).

thf(zip_derived_cl4897,plain,
    ( ( c3_1 @ a750 )
   <= ( c3_1 @ a750 ) ),
    inference(split,[status(esa)],[zip_derived_cl1192]) ).

thf(zip_derived_cl197_047,plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl4921,plain,
    ( ( ~ ( c0_1 @ a750 )
      | ~ ( c2_1 @ a750 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ( c3_1 @ a750 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4897,zip_derived_cl197]) ).

thf('90',plain,
    ( ~ ( c3_1 @ a750 )
    | ~ ( c0_1 @ a750 )
    | ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c2_1 @ a750 ) ),
    inference(split,[status(esa)],[zip_derived_cl4921]) ).

thf('91',plain,
    ( hskp27
    | hskp19
    | ! [X12: $i] :
        ( ( c1_1 @ X12 )
        | ~ ( c0_1 @ X12 )
        | ~ ( c3_1 @ X12 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl58,plain,
    ! [X87: $i,X88: $i] :
      ( ( c0_1 @ X87 )
      | ( c1_1 @ X87 )
      | ( c2_1 @ X87 )
      | ~ ndr1_0
      | ( c1_1 @ X88 )
      | ~ ( c0_1 @ X88 )
      | ~ ( c3_1 @ X88 )
      | ~ ndr1_0
      | hskp25 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('92',plain,
    ( ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c1_1 @ X86 )
        | ( c2_1 @ X86 ) )
    | hskp25
    | ! [X12: $i] :
        ( ( c1_1 @ X12 )
        | ~ ( c0_1 @ X12 )
        | ~ ( c3_1 @ X12 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf(zip_derived_cl570_048,plain,
    ( ( c3_1 @ a744 )
   <= ( c3_1 @ a744 ) ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf(zip_derived_cl33,plain,
    ! [X41: $i] :
      ( ( c0_1 @ X41 )
      | ( c2_1 @ X41 )
      | ~ ( c3_1 @ X41 )
      | ~ ndr1_0
      | hskp6
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl300,plain,
    ( ! [X41: $i] :
        ( ( c0_1 @ X41 )
        | ( c2_1 @ X41 )
        | ~ ( c3_1 @ X41 ) )
   <= ! [X41: $i] :
        ( ( c0_1 @ X41 )
        | ( c2_1 @ X41 )
        | ~ ( c3_1 @ X41 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl1517,plain,
    ( ( ( c0_1 @ a744 )
      | ( c2_1 @ a744 ) )
   <= ( ! [X41: $i] :
          ( ( c0_1 @ X41 )
          | ( c2_1 @ X41 )
          | ~ ( c3_1 @ X41 ) )
      & ( c3_1 @ a744 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl570,zip_derived_cl300]) ).

thf('93',plain,
    ( ( c2_1 @ a744 )
    | ( c0_1 @ a744 )
    | ~ ! [X41: $i] :
          ( ( c0_1 @ X41 )
          | ( c2_1 @ X41 )
          | ~ ( c3_1 @ X41 ) )
    | ~ ( c3_1 @ a744 ) ),
    inference(split,[status(esa)],[zip_derived_cl1517]) ).

thf(zip_derived_cl38,plain,
    ! [X48: $i,X49: $i,X50: $i] :
      ( ( c0_1 @ X48 )
      | ( c2_1 @ X48 )
      | ~ ( c3_1 @ X48 )
      | ~ ndr1_0
      | ( c0_1 @ X49 )
      | ~ ( c2_1 @ X49 )
      | ~ ( c3_1 @ X49 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X50 )
      | ~ ( c2_1 @ X50 )
      | ~ ( c3_1 @ X50 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('94',plain,
    ( ! [X26: $i] :
        ( ( c0_1 @ X26 )
        | ~ ( c2_1 @ X26 )
        | ~ ( c3_1 @ X26 ) )
    | ! [X41: $i] :
        ( ( c0_1 @ X41 )
        | ( c2_1 @ X41 )
        | ~ ( c3_1 @ X41 ) )
    | ~ ndr1_0
    | ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl396_049,plain,
    ( ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c1_1 @ X86 )
        | ( c2_1 @ X86 ) )
   <= ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c1_1 @ X86 )
        | ( c2_1 @ X86 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf(zip_derived_cl548_050,plain,
    ( ~ ( c1_1 @ a749 )
   <= ~ ( c1_1 @ a749 ) ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(zip_derived_cl1842,plain,
    ( ( ( c2_1 @ a749 )
      | ( c0_1 @ a749 ) )
   <= ( ~ ( c1_1 @ a749 )
      & ! [X86: $i] :
          ( ( c0_1 @ X86 )
          | ( c1_1 @ X86 )
          | ( c2_1 @ X86 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl396,zip_derived_cl548]) ).

thf('95',plain,
    ( ( c2_1 @ a749 )
    | ( c1_1 @ a749 )
    | ~ ! [X86: $i] :
          ( ( c0_1 @ X86 )
          | ( c1_1 @ X86 )
          | ( c2_1 @ X86 ) )
    | ( c0_1 @ a749 ) ),
    inference(split,[status(esa)],[zip_derived_cl1842]) ).

thf('96',plain,
    ( ~ ( c3_1 @ a777 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl285_051,plain,
    ( ! [X34: $i] :
        ( ( c0_1 @ X34 )
        | ( c3_1 @ X34 )
        | ~ ( c2_1 @ X34 ) )
   <= ! [X34: $i] :
        ( ( c0_1 @ X34 )
        | ( c3_1 @ X34 )
        | ~ ( c2_1 @ X34 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl486_052,plain,
    ( ~ ( c3_1 @ a777 )
   <= ~ ( c3_1 @ a777 ) ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl1273,plain,
    ( ( ~ ( c2_1 @ a777 )
      | ( c0_1 @ a777 ) )
   <= ( ~ ( c3_1 @ a777 )
      & ! [X34: $i] :
          ( ( c0_1 @ X34 )
          | ( c3_1 @ X34 )
          | ~ ( c2_1 @ X34 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl285,zip_derived_cl486]) ).

thf('97',plain,
    ( ~ ! [X34: $i] :
          ( ( c0_1 @ X34 )
          | ( c3_1 @ X34 )
          | ~ ( c2_1 @ X34 ) )
    | ( c0_1 @ a777 )
    | ( c3_1 @ a777 )
    | ~ ( c2_1 @ a777 ) ),
    inference(split,[status(esa)],[zip_derived_cl1273]) ).

thf(zip_derived_cl140,plain,
    ( ~ hskp8
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('98',plain,
    ( ndr1_0
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl140]) ).

thf(zip_derived_cl586_053,plain,
    ( ( c1_1 @ a738 )
   <= ( c1_1 @ a738 ) ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl273_054,plain,
    ( ! [X29: $i] :
        ( ( c0_1 @ X29 )
        | ~ ( c1_1 @ X29 )
        | ~ ( c3_1 @ X29 ) )
   <= ! [X29: $i] :
        ( ( c0_1 @ X29 )
        | ~ ( c1_1 @ X29 )
        | ~ ( c3_1 @ X29 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl1495,plain,
    ( ( ( c0_1 @ a738 )
      | ~ ( c3_1 @ a738 ) )
   <= ( ! [X29: $i] :
          ( ( c0_1 @ X29 )
          | ~ ( c1_1 @ X29 )
          | ~ ( c3_1 @ X29 ) )
      & ( c1_1 @ a738 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl586,zip_derived_cl273]) ).

thf('99',plain,
    ( ~ ( c3_1 @ a738 )
    | ( c0_1 @ a738 )
    | ~ ! [X29: $i] :
          ( ( c0_1 @ X29 )
          | ~ ( c1_1 @ X29 )
          | ~ ( c3_1 @ X29 ) )
    | ~ ( c1_1 @ a738 ) ),
    inference(split,[status(esa)],[zip_derived_cl1495]) ).

thf('100',plain,
    ( ( c1_1 @ a738 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl150,plain,
    ( ~ hskp6
    | ~ ( c0_1 @ a738 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('101',plain,
    ( ~ ( c0_1 @ a738 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf(zip_derived_cl35,plain,
    ! [X43: $i] :
      ( ( c0_1 @ X43 )
      | ( c2_1 @ X43 )
      | ~ ( c3_1 @ X43 )
      | ~ ndr1_0
      | hskp25
      | hskp6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('102',plain,
    ( hskp6
    | hskp25
    | ! [X41: $i] :
        ( ( c0_1 @ X41 )
        | ( c2_1 @ X41 )
        | ~ ( c3_1 @ X41 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl137,plain,
    ( ~ hskp9
    | ( c3_1 @ a746 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl562,plain,
    ( ( c3_1 @ a746 )
   <= ( c3_1 @ a746 ) ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(zip_derived_cl300_055,plain,
    ( ! [X41: $i] :
        ( ( c0_1 @ X41 )
        | ( c2_1 @ X41 )
        | ~ ( c3_1 @ X41 ) )
   <= ! [X41: $i] :
        ( ( c0_1 @ X41 )
        | ( c2_1 @ X41 )
        | ~ ( c3_1 @ X41 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl1518,plain,
    ( ( ( c0_1 @ a746 )
      | ( c2_1 @ a746 ) )
   <= ( ! [X41: $i] :
          ( ( c0_1 @ X41 )
          | ( c2_1 @ X41 )
          | ~ ( c3_1 @ X41 ) )
      & ( c3_1 @ a746 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl562,zip_derived_cl300]) ).

thf('103',plain,
    ( ( c2_1 @ a746 )
    | ( c0_1 @ a746 )
    | ~ ! [X41: $i] :
          ( ( c0_1 @ X41 )
          | ( c2_1 @ X41 )
          | ~ ( c3_1 @ X41 ) )
    | ~ ( c3_1 @ a746 ) ),
    inference(split,[status(esa)],[zip_derived_cl1518]) ).

thf('104',plain,
    ( ~ hskp9
    | ( c3_1 @ a746 ) ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(zip_derived_cl138,plain,
    ( ~ hskp9
    | ~ ( c0_1 @ a746 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('105',plain,
    ( ~ hskp9
    | ~ ( c0_1 @ a746 ) ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf(zip_derived_cl139,plain,
    ( ~ hskp9
    | ~ ( c2_1 @ a746 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('106',plain,
    ( ~ hskp9
    | ~ ( c2_1 @ a746 ) ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf('107',plain,
    ( hskp9
    | ! [X62: $i] :
        ( ( c0_1 @ X62 )
        | ( c2_1 @ X62 )
        | ( c3_1 @ X62 ) )
    | hskp5
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl44]) ).

thf(zip_derived_cl626_056,plain,
    ( ( c1_1 @ a731 )
   <= ( c1_1 @ a731 ) ),
    inference(split,[status(esa)],[zip_derived_cl169]) ).

thf(zip_derived_cl296_057,plain,
    ( ! [X40: $i] :
        ( ( c2_1 @ X40 )
        | ~ ( c0_1 @ X40 )
        | ~ ( c1_1 @ X40 ) )
   <= ! [X40: $i] :
        ( ( c2_1 @ X40 )
        | ~ ( c0_1 @ X40 )
        | ~ ( c1_1 @ X40 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl1552,plain,
    ( ( ( c2_1 @ a731 )
      | ~ ( c0_1 @ a731 ) )
   <= ( ! [X40: $i] :
          ( ( c2_1 @ X40 )
          | ~ ( c0_1 @ X40 )
          | ~ ( c1_1 @ X40 ) )
      & ( c1_1 @ a731 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl626,zip_derived_cl296]) ).

thf('108',plain,
    ( ~ ! [X40: $i] :
          ( ( c2_1 @ X40 )
          | ~ ( c0_1 @ X40 )
          | ~ ( c1_1 @ X40 ) )
    | ~ ( c0_1 @ a731 )
    | ( c2_1 @ a731 )
    | ~ ( c1_1 @ a731 ) ),
    inference(split,[status(esa)],[zip_derived_cl1552]) ).

thf(zip_derived_cl628_058,plain,
    ( ( c3_1 @ a731 )
   <= ( c3_1 @ a731 ) ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl300_059,plain,
    ( ! [X41: $i] :
        ( ( c0_1 @ X41 )
        | ( c2_1 @ X41 )
        | ~ ( c3_1 @ X41 ) )
   <= ! [X41: $i] :
        ( ( c0_1 @ X41 )
        | ( c2_1 @ X41 )
        | ~ ( c3_1 @ X41 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl1558,plain,
    ( ( ( c0_1 @ a731 )
      | ( c2_1 @ a731 ) )
   <= ( ! [X41: $i] :
          ( ( c0_1 @ X41 )
          | ( c2_1 @ X41 )
          | ~ ( c3_1 @ X41 ) )
      & ( c3_1 @ a731 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl628,zip_derived_cl300]) ).

thf('109',plain,
    ( ( c0_1 @ a731 )
    | ( c2_1 @ a731 )
    | ~ ! [X41: $i] :
          ( ( c0_1 @ X41 )
          | ( c2_1 @ X41 )
          | ~ ( c3_1 @ X41 ) )
    | ~ ( c3_1 @ a731 ) ),
    inference(split,[status(esa)],[zip_derived_cl1558]) ).

thf(zip_derived_cl626_060,plain,
    ( ( c1_1 @ a731 )
   <= ( c1_1 @ a731 ) ),
    inference(split,[status(esa)],[zip_derived_cl169]) ).

thf(zip_derived_cl273_061,plain,
    ( ! [X29: $i] :
        ( ( c0_1 @ X29 )
        | ~ ( c1_1 @ X29 )
        | ~ ( c3_1 @ X29 ) )
   <= ! [X29: $i] :
        ( ( c0_1 @ X29 )
        | ~ ( c1_1 @ X29 )
        | ~ ( c3_1 @ X29 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl1548,plain,
    ( ( ( c0_1 @ a731 )
      | ~ ( c3_1 @ a731 ) )
   <= ( ! [X29: $i] :
          ( ( c0_1 @ X29 )
          | ~ ( c1_1 @ X29 )
          | ~ ( c3_1 @ X29 ) )
      & ( c1_1 @ a731 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl626,zip_derived_cl273]) ).

thf('110',plain,
    ( ( c0_1 @ a731 )
    | ~ ! [X29: $i] :
          ( ( c0_1 @ X29 )
          | ~ ( c1_1 @ X29 )
          | ~ ( c3_1 @ X29 ) )
    | ~ ( c3_1 @ a731 )
    | ~ ( c1_1 @ a731 ) ),
    inference(split,[status(esa)],[zip_derived_cl1548]) ).

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

thf('111',plain,
    ( ndr1_0
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl168]) ).

thf(zip_derived_cl157,plain,
    ( ~ hskp4
    | ( c1_1 @ a734 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl602,plain,
    ( ( c1_1 @ a734 )
   <= ( c1_1 @ a734 ) ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl329_062,plain,
    ( ! [X54: $i] :
        ( ( c0_1 @ X54 )
        | ( c2_1 @ X54 )
        | ~ ( c1_1 @ X54 ) )
   <= ! [X54: $i] :
        ( ( c0_1 @ X54 )
        | ( c2_1 @ X54 )
        | ~ ( c1_1 @ X54 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl1639,plain,
    ( ( ( c0_1 @ a734 )
      | ( c2_1 @ a734 ) )
   <= ( ! [X54: $i] :
          ( ( c0_1 @ X54 )
          | ( c2_1 @ X54 )
          | ~ ( c1_1 @ X54 ) )
      & ( c1_1 @ a734 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl602,zip_derived_cl329]) ).

thf('112',plain,
    ( ( c2_1 @ a734 )
    | ( c0_1 @ a734 )
    | ~ ! [X54: $i] :
          ( ( c0_1 @ X54 )
          | ( c2_1 @ X54 )
          | ~ ( c1_1 @ X54 ) )
    | ~ ( c1_1 @ a734 ) ),
    inference(split,[status(esa)],[zip_derived_cl1639]) ).

thf(zip_derived_cl232_063,plain,
    ( ! [X11: $i] :
        ( ( c1_1 @ X11 )
        | ~ ( c2_1 @ X11 )
        | ~ ( c3_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c1_1 @ X11 )
        | ~ ( c2_1 @ X11 )
        | ~ ( c3_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i] :
      ( ~ ( c1_1 @ X0 )
      | ~ ( c2_1 @ X0 )
      | ~ ( c3_1 @ X0 )
      | ~ ndr1_0
      | hskp16
      | hskp22 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl193,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl730,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X11: $i] :
          ( ( c1_1 @ X11 )
          | ~ ( c2_1 @ X11 )
          | ~ ( c3_1 @ X11 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl232,zip_derived_cl193]) ).

thf(zip_derived_cl748,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X11: $i] :
          ( ( c1_1 @ X11 )
          | ~ ( c2_1 @ X11 )
          | ~ ( c3_1 @ X11 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl730]) ).

thf(zip_derived_cl285_064,plain,
    ( ! [X34: $i] :
        ( ( c0_1 @ X34 )
        | ( c3_1 @ X34 )
        | ~ ( c2_1 @ X34 ) )
   <= ! [X34: $i] :
        ( ( c0_1 @ X34 )
        | ( c3_1 @ X34 )
        | ~ ( c2_1 @ X34 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl1278,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X11: $i] :
          ( ( c1_1 @ X11 )
          | ~ ( c2_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
      & ! [X34: $i] :
          ( ( c0_1 @ X34 )
          | ( c3_1 @ X34 )
          | ~ ( c2_1 @ X34 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl748,zip_derived_cl285]) ).

thf(zip_derived_cl1297,plain,
    ( ! [X0: $i] :
        ( ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X11: $i] :
          ( ( c1_1 @ X11 )
          | ~ ( c2_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
      & ! [X34: $i] :
          ( ( c0_1 @ X34 )
          | ( c3_1 @ X34 )
          | ~ ( c2_1 @ X34 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1278]) ).

thf(zip_derived_cl606_065,plain,
    ( ~ ( c3_1 @ a734 )
   <= ~ ( c3_1 @ a734 ) ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl224_066,plain,
    ( ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ( c3_1 @ X9 )
        | ~ ( c0_1 @ X9 ) )
   <= ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ( c3_1 @ X9 )
        | ~ ( c0_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl782,plain,
    ( ( ( c2_1 @ a734 )
      | ~ ( c0_1 @ a734 ) )
   <= ( ~ ( c3_1 @ a734 )
      & ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ( c3_1 @ X9 )
          | ~ ( c0_1 @ X9 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl606,zip_derived_cl224]) ).

thf(zip_derived_cl978,plain,
    ( ( c2_1 @ a734 )
   <= ( c2_1 @ a734 ) ),
    inference(split,[status(esa)],[zip_derived_cl782]) ).

thf(zip_derived_cl1866,plain,
    ( ( c0_1 @ a734 )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X11: $i] :
          ( ( c1_1 @ X11 )
          | ~ ( c2_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
      & ! [X34: $i] :
          ( ( c0_1 @ X34 )
          | ( c3_1 @ X34 )
          | ~ ( c2_1 @ X34 ) )
      & ( c2_1 @ a734 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1297,zip_derived_cl978]) ).

thf(zip_derived_cl158,plain,
    ( ~ hskp4
    | ~ ( c0_1 @ a734 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl604,plain,
    ( ~ ( c0_1 @ a734 )
   <= ~ ( c0_1 @ a734 ) ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf('113',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c2_1 @ a734 )
    | ~ ! [X34: $i] :
          ( ( c0_1 @ X34 )
          | ( c3_1 @ X34 )
          | ~ ( c2_1 @ X34 ) )
    | ~ ! [X11: $i] :
          ( ( c1_1 @ X11 )
          | ~ ( c2_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
    | ( c0_1 @ a734 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1866,zip_derived_cl604]) ).

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

thf('114',plain,
    ( ndr1_0
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl172]) ).

thf(zip_derived_cl2,plain,
    ( hskp0
    | hskp5
    | hskp19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('115',plain,
    ( hskp19
    | hskp0
    | hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl97,plain,
    ( ~ hskp19
    | ( c2_1 @ a777 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('116',plain,
    ( ( c2_1 @ a777 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf('117',plain,
    ( ~ ( c0_1 @ a777 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf(zip_derived_cl1297_067,plain,
    ( ! [X0: $i] :
        ( ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X11: $i] :
          ( ( c1_1 @ X11 )
          | ~ ( c2_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
      & ! [X34: $i] :
          ( ( c0_1 @ X34 )
          | ( c3_1 @ X34 )
          | ~ ( c2_1 @ X34 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1278]) ).

thf(zip_derived_cl701_068,plain,
    ( ( c2_1 @ a777 )
   <= ( c2_1 @ a777 ) ),
    inference(split,[status(esa)],[zip_derived_cl683]) ).

thf(zip_derived_cl1877,plain,
    ( ( c0_1 @ a777 )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X11: $i] :
          ( ( c1_1 @ X11 )
          | ~ ( c2_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
      & ! [X34: $i] :
          ( ( c0_1 @ X34 )
          | ( c3_1 @ X34 )
          | ~ ( c2_1 @ X34 ) )
      & ( c2_1 @ a777 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1297,zip_derived_cl701]) ).

thf(zip_derived_cl484_069,plain,
    ( ~ ( c0_1 @ a777 )
   <= ~ ( c0_1 @ a777 ) ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf('118',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c2_1 @ a777 )
    | ~ ! [X34: $i] :
          ( ( c0_1 @ X34 )
          | ( c3_1 @ X34 )
          | ~ ( c2_1 @ X34 ) )
    | ~ ! [X11: $i] :
          ( ( c1_1 @ X11 )
          | ~ ( c2_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
    | ( c0_1 @ a777 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1877,zip_derived_cl484]) ).

thf(zip_derived_cl586_070,plain,
    ( ( c1_1 @ a738 )
   <= ( c1_1 @ a738 ) ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl292_071,plain,
    ( ! [X38: $i] :
        ( ( c0_1 @ X38 )
        | ( c3_1 @ X38 )
        | ~ ( c1_1 @ X38 ) )
   <= ! [X38: $i] :
        ( ( c0_1 @ X38 )
        | ( c3_1 @ X38 )
        | ~ ( c1_1 @ X38 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl31]) ).

thf(zip_derived_cl1498,plain,
    ( ( ( c0_1 @ a738 )
      | ( c3_1 @ a738 ) )
   <= ( ! [X38: $i] :
          ( ( c0_1 @ X38 )
          | ( c3_1 @ X38 )
          | ~ ( c1_1 @ X38 ) )
      & ( c1_1 @ a738 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl586,zip_derived_cl292]) ).

thf('119',plain,
    ( ( c3_1 @ a738 )
    | ( c0_1 @ a738 )
    | ~ ! [X38: $i] :
          ( ( c0_1 @ X38 )
          | ( c3_1 @ X38 )
          | ~ ( c1_1 @ X38 ) )
    | ~ ( c1_1 @ a738 ) ),
    inference(split,[status(esa)],[zip_derived_cl1498]) ).

thf(zip_derived_cl153,plain,
    ( ~ hskp5
    | ( c2_1 @ a735 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('120',plain,
    ( ( c2_1 @ a735 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf('121',plain,
    ( ( c3_1 @ a735 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl596_072,plain,
    ( ( c3_1 @ a735 )
   <= ( c3_1 @ a735 ) ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl748_073,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X11: $i] :
          ( ( c1_1 @ X11 )
          | ~ ( c2_1 @ X11 )
          | ~ ( c3_1 @ X11 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl730]) ).

thf(zip_derived_cl1500,plain,
    ( ~ ( c2_1 @ a735 )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X11: $i] :
          ( ( c1_1 @ X11 )
          | ~ ( c2_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
      & ( c3_1 @ a735 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl596,zip_derived_cl748]) ).

thf(zip_derived_cl594,plain,
    ( ( c2_1 @ a735 )
   <= ( c2_1 @ a735 ) ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf('122',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c2_1 @ a735 )
    | ~ ! [X11: $i] :
          ( ( c1_1 @ X11 )
          | ~ ( c2_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
    | ~ ( c3_1 @ a735 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1500,zip_derived_cl594]) ).

thf(zip_derived_cl74,plain,
    ( ~ hskp25
    | ( c2_1 @ a729 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('123',plain,
    ( ( c2_1 @ a729 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl74]) ).

thf('124',plain,
    ( ( c3_1 @ a729 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl75]) ).

thf(zip_derived_cl438_074,plain,
    ( ( c3_1 @ a729 )
   <= ( c3_1 @ a729 ) ),
    inference(split,[status(esa)],[zip_derived_cl75]) ).

thf(zip_derived_cl748_075,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X11: $i] :
          ( ( c1_1 @ X11 )
          | ~ ( c2_1 @ X11 )
          | ~ ( c3_1 @ X11 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl730]) ).

thf(zip_derived_cl1245,plain,
    ( ~ ( c2_1 @ a729 )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X11: $i] :
          ( ( c1_1 @ X11 )
          | ~ ( c2_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
      & ( c3_1 @ a729 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl438,zip_derived_cl748]) ).

thf(zip_derived_cl436,plain,
    ( ( c2_1 @ a729 )
   <= ( c2_1 @ a729 ) ),
    inference(split,[status(esa)],[zip_derived_cl74]) ).

thf('125',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c3_1 @ a729 )
    | ~ ! [X11: $i] :
          ( ( c1_1 @ X11 )
          | ~ ( c2_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
    | ~ ( c2_1 @ a729 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1245,zip_derived_cl436]) ).

thf(zip_derived_cl101,plain,
    ( ~ hskp18
    | ( c1_1 @ a775 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl490,plain,
    ( ( c1_1 @ a775 )
   <= ( c1_1 @ a775 ) ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf(zip_derived_cl296_076,plain,
    ( ! [X40: $i] :
        ( ( c2_1 @ X40 )
        | ~ ( c0_1 @ X40 )
        | ~ ( c1_1 @ X40 ) )
   <= ! [X40: $i] :
        ( ( c2_1 @ X40 )
        | ~ ( c0_1 @ X40 )
        | ~ ( c1_1 @ X40 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl1429,plain,
    ( ( ( c2_1 @ a775 )
      | ~ ( c0_1 @ a775 ) )
   <= ( ! [X40: $i] :
          ( ( c2_1 @ X40 )
          | ~ ( c0_1 @ X40 )
          | ~ ( c1_1 @ X40 ) )
      & ( c1_1 @ a775 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl490,zip_derived_cl296]) ).

thf('126',plain,
    ( ~ ( c0_1 @ a775 )
    | ( c2_1 @ a775 )
    | ~ ! [X40: $i] :
          ( ( c2_1 @ X40 )
          | ~ ( c0_1 @ X40 )
          | ~ ( c1_1 @ X40 ) )
    | ~ ( c1_1 @ a775 ) ),
    inference(split,[status(esa)],[zip_derived_cl1429]) ).

thf('127',plain,
    ( ( c1_1 @ a775 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf(zip_derived_cl102,plain,
    ( ~ hskp18
    | ~ ( c2_1 @ a775 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('128',plain,
    ( ~ hskp18
    | ~ ( c2_1 @ a775 ) ),
    inference(split,[status(esa)],[zip_derived_cl102]) ).

thf('129',plain,
    ( hskp18
    | hskp11
    | ~ ndr1_0
    | ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl420_077,plain,
    ( ( c1_1 @ a750 )
   <= ( c1_1 @ a750 ) ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf(zip_derived_cl212_078,plain,
    ( ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl1193,plain,
    ( ( ( c3_1 @ a750 )
      | ~ ( c0_1 @ a750 ) )
   <= ( ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c1_1 @ X5 ) )
      & ( c1_1 @ a750 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl420,zip_derived_cl212]) ).

thf('130',plain,
    ( ( c3_1 @ a750 )
    | ~ ( c0_1 @ a750 )
    | ~ ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c1_1 @ X5 ) )
    | ~ ( c1_1 @ a750 ) ),
    inference(split,[status(esa)],[zip_derived_cl1193]) ).

thf(zip_derived_cl67,plain,
    ( ~ hskp27
    | ( c2_1 @ a750 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('131',plain,
    ( ( c2_1 @ a750 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl67]) ).

thf(zip_derived_cl420_079,plain,
    ( ( c1_1 @ a750 )
   <= ( c1_1 @ a750 ) ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf(zip_derived_cl193_080,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl1191,plain,
    ( ( ~ ( c2_1 @ a750 )
      | ~ ( c3_1 @ a750 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c1_1 @ a750 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl420,zip_derived_cl193]) ).

thf('132',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c2_1 @ a750 )
    | ~ ( c1_1 @ a750 )
    | ~ ( c3_1 @ a750 ) ),
    inference(split,[status(esa)],[zip_derived_cl1191]) ).

thf(zip_derived_cl65,plain,
    ( ~ hskp27
    | ( c0_1 @ a750 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('133',plain,
    ( ( c0_1 @ a750 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl65]) ).

thf('134',plain,
    ( ( c1_1 @ a750 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf('135',plain,
    ( hskp27
    | hskp11
    | ~ ndr1_0
    | ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl241_081,plain,
    ( ! [X13: $i] :
        ( ( c1_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c2_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c1_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c2_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl208_082,plain,
    ( ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl835,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ( c3_1 @ X0 )
        | ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
      & ! [X13: $i] :
          ( ( c1_1 @ X13 )
          | ( c3_1 @ X13 )
          | ~ ( c2_1 @ X13 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl241,zip_derived_cl208]) ).

thf(zip_derived_cl858,plain,
    ( ! [X0: $i] :
        ( ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
      & ! [X13: $i] :
          ( ( c1_1 @ X13 )
          | ( c3_1 @ X13 )
          | ~ ( c2_1 @ X13 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl835]) ).

thf(zip_derived_cl748_083,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X11: $i] :
          ( ( c1_1 @ X11 )
          | ~ ( c2_1 @ X11 )
          | ~ ( c3_1 @ X11 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl730]) ).

thf(zip_derived_cl2821,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
      & ! [X11: $i] :
          ( ( c1_1 @ X11 )
          | ~ ( c2_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
      & ! [X13: $i] :
          ( ( c1_1 @ X13 )
          | ( c3_1 @ X13 )
          | ~ ( c2_1 @ X13 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl858,zip_derived_cl748]) ).

thf(zip_derived_cl2884,plain,
    ( ! [X0: $i] :
        ~ ( c2_1 @ X0 )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
      & ! [X11: $i] :
          ( ( c1_1 @ X11 )
          | ~ ( c2_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
      & ! [X13: $i] :
          ( ( c1_1 @ X13 )
          | ( c3_1 @ X13 )
          | ~ ( c2_1 @ X13 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2821]) ).

thf(zip_derived_cl978_084,plain,
    ( ( c2_1 @ a734 )
   <= ( c2_1 @ a734 ) ),
    inference(split,[status(esa)],[zip_derived_cl782]) ).

thf('136',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
    | ~ ! [X11: $i] :
          ( ( c1_1 @ X11 )
          | ~ ( c2_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
    | ~ ! [X13: $i] :
          ( ( c1_1 @ X13 )
          | ( c3_1 @ X13 )
          | ~ ( c2_1 @ X13 ) )
    | ~ ( c2_1 @ a734 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2884,zip_derived_cl978]) ).

thf(zip_derived_cl43,plain,
    ! [X60: $i,X61: $i] :
      ( ( c0_1 @ X60 )
      | ( c2_1 @ X60 )
      | ~ ( c1_1 @ X60 )
      | ~ ndr1_0
      | ( c0_1 @ X61 )
      | ( c3_1 @ X61 )
      | ~ ( c1_1 @ X61 )
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('137',plain,
    ( ! [X38: $i] :
        ( ( c0_1 @ X38 )
        | ( c3_1 @ X38 )
        | ~ ( c1_1 @ X38 ) )
    | ! [X54: $i] :
        ( ( c0_1 @ X54 )
        | ( c2_1 @ X54 )
        | ~ ( c1_1 @ X54 ) )
    | hskp5
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf('138',plain,
    ( ! [X38: $i] :
        ( ( c0_1 @ X38 )
        | ( c3_1 @ X38 )
        | ~ ( c1_1 @ X38 ) )
    | ! [X40: $i] :
        ( ( c2_1 @ X40 )
        | ~ ( c0_1 @ X40 )
        | ~ ( c1_1 @ X40 ) )
    | ~ ndr1_0
    | hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl344_085,plain,
    ( ! [X62: $i] :
        ( ( c0_1 @ X62 )
        | ( c2_1 @ X62 )
        | ( c3_1 @ X62 ) )
   <= ! [X62: $i] :
        ( ( c0_1 @ X62 )
        | ( c2_1 @ X62 )
        | ( c3_1 @ X62 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl44]) ).

thf(zip_derived_cl606_086,plain,
    ( ~ ( c3_1 @ a734 )
   <= ~ ( c3_1 @ a734 ) ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl1669,plain,
    ( ( ( c2_1 @ a734 )
      | ( c0_1 @ a734 ) )
   <= ( ~ ( c3_1 @ a734 )
      & ! [X62: $i] :
          ( ( c0_1 @ X62 )
          | ( c2_1 @ X62 )
          | ( c3_1 @ X62 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl344,zip_derived_cl606]) ).

thf('139',plain,
    ( ( c2_1 @ a734 )
    | ~ ! [X62: $i] :
          ( ( c0_1 @ X62 )
          | ( c2_1 @ X62 )
          | ( c3_1 @ X62 ) )
    | ( c0_1 @ a734 )
    | ( c3_1 @ a734 ) ),
    inference(split,[status(esa)],[zip_derived_cl1669]) ).

thf(zip_derived_cl602_087,plain,
    ( ( c1_1 @ a734 )
   <= ( c1_1 @ a734 ) ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl292_088,plain,
    ( ! [X38: $i] :
        ( ( c0_1 @ X38 )
        | ( c3_1 @ X38 )
        | ~ ( c1_1 @ X38 ) )
   <= ! [X38: $i] :
        ( ( c0_1 @ X38 )
        | ( c3_1 @ X38 )
        | ~ ( c1_1 @ X38 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl31]) ).

thf(zip_derived_cl1540,plain,
    ( ( ( c0_1 @ a734 )
      | ( c3_1 @ a734 ) )
   <= ( ! [X38: $i] :
          ( ( c0_1 @ X38 )
          | ( c3_1 @ X38 )
          | ~ ( c1_1 @ X38 ) )
      & ( c1_1 @ a734 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl602,zip_derived_cl292]) ).

thf('140',plain,
    ( ( c0_1 @ a734 )
    | ( c3_1 @ a734 )
    | ~ ! [X38: $i] :
          ( ( c0_1 @ X38 )
          | ( c3_1 @ X38 )
          | ~ ( c1_1 @ X38 ) )
    | ~ ( c1_1 @ a734 ) ),
    inference(split,[status(esa)],[zip_derived_cl1540]) ).

thf('141',plain,
    ( ( c1_1 @ a734 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf('142',plain,
    ( ~ hskp4
    | ~ ( c0_1 @ a734 ) ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf('143',plain,
    ( ~ ( c3_1 @ a734 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl0,plain,
    ( hskp7
    | hskp1
    | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('144',plain,
    ( hskp7
    | hskp4
    | hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf(zip_derived_cl241_089,plain,
    ( ! [X13: $i] :
        ( ( c1_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c2_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c1_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c2_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl548_090,plain,
    ( ~ ( c1_1 @ a749 )
   <= ~ ( c1_1 @ a749 ) ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(zip_derived_cl843,plain,
    ( ( ~ ( c2_1 @ a749 )
      | ( c3_1 @ a749 ) )
   <= ( ~ ( c1_1 @ a749 )
      & ! [X13: $i] :
          ( ( c1_1 @ X13 )
          | ( c3_1 @ X13 )
          | ~ ( c2_1 @ X13 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl241,zip_derived_cl548]) ).

thf('145',plain,
    ( ~ ! [X13: $i] :
          ( ( c1_1 @ X13 )
          | ( c3_1 @ X13 )
          | ~ ( c2_1 @ X13 ) )
    | ~ ( c2_1 @ a749 )
    | ( c1_1 @ a749 )
    | ( c3_1 @ a749 ) ),
    inference(split,[status(esa)],[zip_derived_cl843]) ).

thf(zip_derived_cl344_091,plain,
    ( ! [X62: $i] :
        ( ( c0_1 @ X62 )
        | ( c2_1 @ X62 )
        | ( c3_1 @ X62 ) )
   <= ! [X62: $i] :
        ( ( c0_1 @ X62 )
        | ( c2_1 @ X62 )
        | ( c3_1 @ X62 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl44]) ).

thf(zip_derived_cl550_092,plain,
    ( ~ ( c3_1 @ a749 )
   <= ~ ( c3_1 @ a749 ) ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf(zip_derived_cl1672,plain,
    ( ( ( c2_1 @ a749 )
      | ( c0_1 @ a749 ) )
   <= ( ~ ( c3_1 @ a749 )
      & ! [X62: $i] :
          ( ( c0_1 @ X62 )
          | ( c2_1 @ X62 )
          | ( c3_1 @ X62 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl344,zip_derived_cl550]) ).

thf('146',plain,
    ( ~ ! [X62: $i] :
          ( ( c0_1 @ X62 )
          | ( c2_1 @ X62 )
          | ( c3_1 @ X62 ) )
    | ( c2_1 @ a749 )
    | ( c0_1 @ a749 )
    | ( c3_1 @ a749 ) ),
    inference(split,[status(esa)],[zip_derived_cl1672]) ).

thf(zip_derived_cl20,plain,
    ! [X18: $i,X19: $i] :
      ( ( c1_1 @ X18 )
      | ( c3_1 @ X18 )
      | ~ ( c2_1 @ X18 )
      | ~ ndr1_0
      | ( c1_1 @ X19 )
      | ~ ( c0_1 @ X19 )
      | ~ ( c3_1 @ X19 )
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('147',plain,
    ( ! [X13: $i] :
        ( ( c1_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c2_1 @ X13 ) )
    | hskp5
    | ! [X12: $i] :
        ( ( c1_1 @ X12 )
        | ~ ( c0_1 @ X12 )
        | ~ ( c3_1 @ X12 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl175,plain,
    ( ~ hskp0
    | ~ ( c1_1 @ a730 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl638,plain,
    ( ~ ( c1_1 @ a730 )
   <= ~ ( c1_1 @ a730 ) ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl236_093,plain,
    ( ! [X12: $i] :
        ( ( c1_1 @ X12 )
        | ~ ( c0_1 @ X12 )
        | ~ ( c3_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ( c1_1 @ X12 )
        | ~ ( c0_1 @ X12 )
        | ~ ( c3_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl807,plain,
    ( ( ~ ( c0_1 @ a730 )
      | ~ ( c3_1 @ a730 ) )
   <= ( ~ ( c1_1 @ a730 )
      & ! [X12: $i] :
          ( ( c1_1 @ X12 )
          | ~ ( c0_1 @ X12 )
          | ~ ( c3_1 @ X12 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl638,zip_derived_cl236]) ).

thf('148',plain,
    ( ~ ( c0_1 @ a730 )
    | ( c1_1 @ a730 )
    | ~ ! [X12: $i] :
          ( ( c1_1 @ X12 )
          | ~ ( c0_1 @ X12 )
          | ~ ( c3_1 @ X12 ) )
    | ~ ( c3_1 @ a730 ) ),
    inference(split,[status(esa)],[zip_derived_cl807]) ).

thf(zip_derived_cl173,plain,
    ( ~ hskp0
    | ( c0_1 @ a730 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('149',plain,
    ( ( c0_1 @ a730 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl173]) ).

thf(zip_derived_cl45,plain,
    ! [X63: $i,X64: $i] :
      ( ( c0_1 @ X63 )
      | ( c2_1 @ X63 )
      | ( c3_1 @ X63 )
      | ~ ndr1_0
      | ( c0_1 @ X64 )
      | ( c3_1 @ X64 )
      | ~ ( c2_1 @ X64 )
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('150',plain,
    ( ! [X34: $i] :
        ( ( c0_1 @ X34 )
        | ( c3_1 @ X34 )
        | ~ ( c2_1 @ X34 ) )
    | hskp8
    | ! [X62: $i] :
        ( ( c0_1 @ X62 )
        | ( c2_1 @ X62 )
        | ( c3_1 @ X62 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl142,plain,
    ( ~ hskp8
    | ~ ( c0_1 @ a744 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('151',plain,
    ( ~ ( c0_1 @ a744 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf(zip_derived_cl46,plain,
    ! [X65: $i,X66: $i] :
      ( ( c0_1 @ X65 )
      | ( c1_1 @ X65 )
      | ~ ( c3_1 @ X65 )
      | ~ ndr1_0
      | ( c1_1 @ X66 )
      | ~ ( c0_1 @ X66 )
      | ~ ( c2_1 @ X66 )
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl353,plain,
    ( ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ( c1_1 @ X65 )
        | ~ ( c3_1 @ X65 ) )
   <= ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ( c1_1 @ X65 )
        | ~ ( c3_1 @ X65 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl574_094,plain,
    ( ~ ( c1_1 @ a744 )
   <= ~ ( c1_1 @ a744 ) ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(zip_derived_cl1719,plain,
    ( ( ~ ( c3_1 @ a744 )
      | ( c0_1 @ a744 ) )
   <= ( ~ ( c1_1 @ a744 )
      & ! [X65: $i] :
          ( ( c0_1 @ X65 )
          | ( c1_1 @ X65 )
          | ~ ( c3_1 @ X65 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl353,zip_derived_cl574]) ).

thf('152',plain,
    ( ~ ! [X65: $i] :
          ( ( c0_1 @ X65 )
          | ( c1_1 @ X65 )
          | ~ ( c3_1 @ X65 ) )
    | ( c0_1 @ a744 )
    | ( c1_1 @ a744 )
    | ~ ( c3_1 @ a744 ) ),
    inference(split,[status(esa)],[zip_derived_cl1719]) ).

thf(zip_derived_cl49,plain,
    ! [X72: $i,X73: $i] :
      ( ( c0_1 @ X72 )
      | ( c1_1 @ X72 )
      | ~ ( c3_1 @ X72 )
      | ~ ndr1_0
      | ( c0_1 @ X73 )
      | ( c3_1 @ X73 )
      | ~ ( c2_1 @ X73 )
      | ~ ndr1_0
      | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('153',plain,
    ( hskp7
    | ! [X34: $i] :
        ( ( c0_1 @ X34 )
        | ( c3_1 @ X34 )
        | ~ ( c2_1 @ X34 ) )
    | ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ( c1_1 @ X65 )
        | ~ ( c3_1 @ X65 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl145,plain,
    ( ~ hskp7
    | ( c1_1 @ a741 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl578,plain,
    ( ( c1_1 @ a741 )
   <= ( c1_1 @ a741 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl240_095,plain,
    ( ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ~ ( c1_1 @ X14 )
        | ~ ( c3_1 @ X14 ) )
   <= ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ~ ( c1_1 @ X14 )
        | ~ ( c3_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl1475,plain,
    ( ( ( c2_1 @ a741 )
      | ~ ( c3_1 @ a741 ) )
   <= ( ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ~ ( c1_1 @ X14 )
          | ~ ( c3_1 @ X14 ) )
      & ( c1_1 @ a741 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl578,zip_derived_cl240]) ).

thf('154',plain,
    ( ( c2_1 @ a741 )
    | ~ ( c1_1 @ a741 )
    | ~ ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ~ ( c1_1 @ X14 )
          | ~ ( c3_1 @ X14 ) )
    | ~ ( c3_1 @ a741 ) ),
    inference(split,[status(esa)],[zip_derived_cl1475]) ).

thf(zip_derived_cl578_096,plain,
    ( ( c1_1 @ a741 )
   <= ( c1_1 @ a741 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl273_097,plain,
    ( ! [X29: $i] :
        ( ( c0_1 @ X29 )
        | ~ ( c1_1 @ X29 )
        | ~ ( c3_1 @ X29 ) )
   <= ! [X29: $i] :
        ( ( c0_1 @ X29 )
        | ~ ( c1_1 @ X29 )
        | ~ ( c3_1 @ X29 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl1477,plain,
    ( ( ( c0_1 @ a741 )
      | ~ ( c3_1 @ a741 ) )
   <= ( ! [X29: $i] :
          ( ( c0_1 @ X29 )
          | ~ ( c1_1 @ X29 )
          | ~ ( c3_1 @ X29 ) )
      & ( c1_1 @ a741 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl578,zip_derived_cl273]) ).

thf('155',plain,
    ( ~ ( c1_1 @ a741 )
    | ~ ( c3_1 @ a741 )
    | ~ ! [X29: $i] :
          ( ( c0_1 @ X29 )
          | ~ ( c1_1 @ X29 )
          | ~ ( c3_1 @ X29 ) )
    | ( c0_1 @ a741 ) ),
    inference(split,[status(esa)],[zip_derived_cl1477]) ).

thf(zip_derived_cl146,plain,
    ( ~ hskp7
    | ( c3_1 @ a741 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl580,plain,
    ( ( c3_1 @ a741 )
   <= ( c3_1 @ a741 ) ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf(zip_derived_cl300_098,plain,
    ( ! [X41: $i] :
        ( ( c0_1 @ X41 )
        | ( c2_1 @ X41 )
        | ~ ( c3_1 @ X41 ) )
   <= ! [X41: $i] :
        ( ( c0_1 @ X41 )
        | ( c2_1 @ X41 )
        | ~ ( c3_1 @ X41 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl1516,plain,
    ( ( ( c0_1 @ a741 )
      | ( c2_1 @ a741 ) )
   <= ( ! [X41: $i] :
          ( ( c0_1 @ X41 )
          | ( c2_1 @ X41 )
          | ~ ( c3_1 @ X41 ) )
      & ( c3_1 @ a741 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl580,zip_derived_cl300]) ).

thf('156',plain,
    ( ( c2_1 @ a741 )
    | ~ ( c3_1 @ a741 )
    | ~ ! [X41: $i] :
          ( ( c0_1 @ X41 )
          | ( c2_1 @ X41 )
          | ~ ( c3_1 @ X41 ) )
    | ( c0_1 @ a741 ) ),
    inference(split,[status(esa)],[zip_derived_cl1516]) ).

thf(zip_derived_cl578_099,plain,
    ( ( c1_1 @ a741 )
   <= ( c1_1 @ a741 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl193_100,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl1471,plain,
    ( ( ~ ( c2_1 @ a741 )
      | ~ ( c3_1 @ a741 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c1_1 @ a741 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl578,zip_derived_cl193]) ).

thf('157',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c1_1 @ a741 )
    | ~ ( c2_1 @ a741 )
    | ~ ( c3_1 @ a741 ) ),
    inference(split,[status(esa)],[zip_derived_cl1471]) ).

thf('158',plain,
    ( ( c1_1 @ a741 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf('159',plain,
    ( ( c3_1 @ a741 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf(zip_derived_cl147,plain,
    ( ~ hskp7
    | ~ ( c0_1 @ a741 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('160',plain,
    ( ~ ( c0_1 @ a741 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl39,plain,
    ! [X51: $i,X52: $i,X53: $i] :
      ( ( c0_1 @ X51 )
      | ( c2_1 @ X51 )
      | ~ ( c3_1 @ X51 )
      | ~ ndr1_0
      | ( c0_1 @ X52 )
      | ~ ( c1_1 @ X52 )
      | ~ ( c3_1 @ X52 )
      | ~ ndr1_0
      | ( c2_1 @ X53 )
      | ~ ( c1_1 @ X53 )
      | ~ ( c3_1 @ X53 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('161',plain,
    ( ! [X29: $i] :
        ( ( c0_1 @ X29 )
        | ~ ( c1_1 @ X29 )
        | ~ ( c3_1 @ X29 ) )
    | ! [X41: $i] :
        ( ( c0_1 @ X41 )
        | ( c2_1 @ X41 )
        | ~ ( c3_1 @ X41 ) )
    | ~ ndr1_0
    | ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ~ ( c1_1 @ X14 )
        | ~ ( c3_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl490_101,plain,
    ( ( c1_1 @ a775 )
   <= ( c1_1 @ a775 ) ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf(zip_derived_cl329_102,plain,
    ( ! [X54: $i] :
        ( ( c0_1 @ X54 )
        | ( c2_1 @ X54 )
        | ~ ( c1_1 @ X54 ) )
   <= ! [X54: $i] :
        ( ( c0_1 @ X54 )
        | ( c2_1 @ X54 )
        | ~ ( c1_1 @ X54 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl1645,plain,
    ( ( ( c0_1 @ a775 )
      | ( c2_1 @ a775 ) )
   <= ( ! [X54: $i] :
          ( ( c0_1 @ X54 )
          | ( c2_1 @ X54 )
          | ~ ( c1_1 @ X54 ) )
      & ( c1_1 @ a775 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl490,zip_derived_cl329]) ).

thf('162',plain,
    ( ( c2_1 @ a775 )
    | ( c0_1 @ a775 )
    | ~ ! [X54: $i] :
          ( ( c0_1 @ X54 )
          | ( c2_1 @ X54 )
          | ~ ( c1_1 @ X54 ) )
    | ~ ( c1_1 @ a775 ) ),
    inference(split,[status(esa)],[zip_derived_cl1645]) ).

thf(zip_derived_cl232_103,plain,
    ( ! [X11: $i] :
        ( ( c1_1 @ X11 )
        | ~ ( c2_1 @ X11 )
        | ~ ( c3_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c1_1 @ X11 )
        | ~ ( c2_1 @ X11 )
        | ~ ( c3_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl574_104,plain,
    ( ~ ( c1_1 @ a744 )
   <= ~ ( c1_1 @ a744 ) ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(zip_derived_cl734,plain,
    ( ( ~ ( c3_1 @ a744 )
      | ~ ( c2_1 @ a744 ) )
   <= ( ~ ( c1_1 @ a744 )
      & ! [X11: $i] :
          ( ( c1_1 @ X11 )
          | ~ ( c2_1 @ X11 )
          | ~ ( c3_1 @ X11 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl232,zip_derived_cl574]) ).

thf('163',plain,
    ( ~ ( c2_1 @ a744 )
    | ~ ( c3_1 @ a744 )
    | ~ ! [X11: $i] :
          ( ( c1_1 @ X11 )
          | ~ ( c2_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
    | ( c1_1 @ a744 ) ),
    inference(split,[status(esa)],[zip_derived_cl734]) ).

thf('164',plain,
    ( ( c3_1 @ a744 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf('165',plain,
    ( ~ ( c1_1 @ a744 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(zip_derived_cl1,plain,
    ( hskp0
    | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('166',plain,
    ( hskp0
    | hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl638_105,plain,
    ( ~ ( c1_1 @ a730 )
   <= ~ ( c1_1 @ a730 ) ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl232_106,plain,
    ( ! [X11: $i] :
        ( ( c1_1 @ X11 )
        | ~ ( c2_1 @ X11 )
        | ~ ( c3_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c1_1 @ X11 )
        | ~ ( c2_1 @ X11 )
        | ~ ( c3_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl806,plain,
    ( ( ~ ( c2_1 @ a730 )
      | ~ ( c3_1 @ a730 ) )
   <= ( ~ ( c1_1 @ a730 )
      & ! [X11: $i] :
          ( ( c1_1 @ X11 )
          | ~ ( c2_1 @ X11 )
          | ~ ( c3_1 @ X11 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl638,zip_derived_cl232]) ).

thf('167',plain,
    ( ~ ( c2_1 @ a730 )
    | ~ ( c3_1 @ a730 )
    | ~ ! [X11: $i] :
          ( ( c1_1 @ X11 )
          | ~ ( c2_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
    | ( c1_1 @ a730 ) ),
    inference(split,[status(esa)],[zip_derived_cl806]) ).

thf('168',plain,
    ( ( c3_1 @ a730 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf('169',plain,
    ( ~ ( c1_1 @ a730 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl22,plain,
    ! [X21: $i,X22: $i] :
      ( ( c1_1 @ X21 )
      | ( c2_1 @ X21 )
      | ~ ( c3_1 @ X21 )
      | ~ ndr1_0
      | ( c2_1 @ X22 )
      | ~ ( c1_1 @ X22 )
      | ~ ( c3_1 @ X22 )
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl257,plain,
    ( ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ( c2_1 @ X21 )
        | ~ ( c3_1 @ X21 ) )
   <= ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ( c2_1 @ X21 )
        | ~ ( c3_1 @ X21 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl638_107,plain,
    ( ~ ( c1_1 @ a730 )
   <= ~ ( c1_1 @ a730 ) ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl1001,plain,
    ( ( ~ ( c3_1 @ a730 )
      | ( c2_1 @ a730 ) )
   <= ( ~ ( c1_1 @ a730 )
      & ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ( c2_1 @ X21 )
          | ~ ( c3_1 @ X21 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl257,zip_derived_cl638]) ).

thf('170',plain,
    ( ( c2_1 @ a730 )
    | ( c1_1 @ a730 )
    | ~ ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ( c2_1 @ X21 )
          | ~ ( c3_1 @ X21 ) )
    | ~ ( c3_1 @ a730 ) ),
    inference(split,[status(esa)],[zip_derived_cl1001]) ).

thf(zip_derived_cl257_108,plain,
    ( ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ( c2_1 @ X21 )
        | ~ ( c3_1 @ X21 ) )
   <= ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ( c2_1 @ X21 )
        | ~ ( c3_1 @ X21 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl574_109,plain,
    ( ~ ( c1_1 @ a744 )
   <= ~ ( c1_1 @ a744 ) ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(zip_derived_cl1003,plain,
    ( ( ~ ( c3_1 @ a744 )
      | ( c2_1 @ a744 ) )
   <= ( ~ ( c1_1 @ a744 )
      & ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ( c2_1 @ X21 )
          | ~ ( c3_1 @ X21 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl257,zip_derived_cl574]) ).

thf('171',plain,
    ( ( c2_1 @ a744 )
    | ~ ( c3_1 @ a744 )
    | ~ ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ( c2_1 @ X21 )
          | ~ ( c3_1 @ X21 ) )
    | ( c1_1 @ a744 ) ),
    inference(split,[status(esa)],[zip_derived_cl1003]) ).

thf(zip_derived_cl121,plain,
    ( ~ hskp13
    | ( c2_1 @ a759 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('172',plain,
    ( ( c2_1 @ a759 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf('173',plain,
    ( ( c3_1 @ a759 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf('174',plain,
    ( ~ ( c1_1 @ a759 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl232_110,plain,
    ( ! [X11: $i] :
        ( ( c1_1 @ X11 )
        | ~ ( c2_1 @ X11 )
        | ~ ( c3_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c1_1 @ X11 )
        | ~ ( c2_1 @ X11 )
        | ~ ( c3_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl534_111,plain,
    ( ~ ( c1_1 @ a759 )
   <= ~ ( c1_1 @ a759 ) ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl737,plain,
    ( ( ~ ( c3_1 @ a759 )
      | ~ ( c2_1 @ a759 ) )
   <= ( ~ ( c1_1 @ a759 )
      & ! [X11: $i] :
          ( ( c1_1 @ X11 )
          | ~ ( c2_1 @ X11 )
          | ~ ( c3_1 @ X11 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl232,zip_derived_cl534]) ).

thf('175',plain,
    ( ~ ( c2_1 @ a759 )
    | ( c1_1 @ a759 )
    | ~ ! [X11: $i] :
          ( ( c1_1 @ X11 )
          | ~ ( c2_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
    | ~ ( c3_1 @ a759 ) ),
    inference(split,[status(esa)],[zip_derived_cl737]) ).

thf(zip_derived_cl12,plain,
    ! [X6: $i,X7: $i] :
      ( ( c3_1 @ X6 )
      | ~ ( c0_1 @ X6 )
      | ~ ( c1_1 @ X6 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X7 )
      | ~ ( c2_1 @ X7 )
      | ~ ( c3_1 @ X7 )
      | ~ ndr1_0
      | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('176',plain,
    ( hskp1
    | ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 ) )
    | ~ ndr1_0
    | ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf('177',plain,
    ( ( c1_1 @ a731 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl169]) ).

thf('178',plain,
    ( ( c3_1 @ a731 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl171,plain,
    ( ~ hskp1
    | ~ ( c2_1 @ a731 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('179',plain,
    ( ~ ( c2_1 @ a731 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl171]) ).

thf(zip_derived_cl626_112,plain,
    ( ( c1_1 @ a731 )
   <= ( c1_1 @ a731 ) ),
    inference(split,[status(esa)],[zip_derived_cl169]) ).

thf(zip_derived_cl240_113,plain,
    ( ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ~ ( c1_1 @ X14 )
        | ~ ( c3_1 @ X14 ) )
   <= ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ~ ( c1_1 @ X14 )
        | ~ ( c3_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl1546,plain,
    ( ( ( c2_1 @ a731 )
      | ~ ( c3_1 @ a731 ) )
   <= ( ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ~ ( c1_1 @ X14 )
          | ~ ( c3_1 @ X14 ) )
      & ( c1_1 @ a731 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl626,zip_derived_cl240]) ).

thf('180',plain,
    ( ~ ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ~ ( c1_1 @ X14 )
          | ~ ( c3_1 @ X14 ) )
    | ~ ( c1_1 @ a731 )
    | ( c2_1 @ a731 )
    | ~ ( c3_1 @ a731 ) ),
    inference(split,[status(esa)],[zip_derived_cl1546]) ).

thf('181',plain,
    ( hskp11
    | ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ~ ( c1_1 @ X14 )
        | ~ ( c3_1 @ X14 ) )
    | ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ( c2_1 @ X21 )
        | ~ ( c3_1 @ X21 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl129,plain,
    ( ~ hskp11
    | ~ ( c0_1 @ a749 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('182',plain,
    ( ~ ( c0_1 @ a749 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf('183',plain,
    ( ~ ( c1_1 @ a749 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf('184',plain,
    ( ~ ( c3_1 @ a749 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf(zip_derived_cl53,plain,
    ! [X78: $i] :
      ( ( c0_1 @ X78 )
      | ( c1_1 @ X78 )
      | ( c3_1 @ X78 )
      | ~ ndr1_0
      | hskp4
      | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl380,plain,
    ( ! [X78: $i] :
        ( ( c0_1 @ X78 )
        | ( c1_1 @ X78 )
        | ( c3_1 @ X78 ) )
   <= ! [X78: $i] :
        ( ( c0_1 @ X78 )
        | ( c1_1 @ X78 )
        | ( c3_1 @ X78 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(zip_derived_cl548_114,plain,
    ( ~ ( c1_1 @ a749 )
   <= ~ ( c1_1 @ a749 ) ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(zip_derived_cl1803,plain,
    ( ( ( c3_1 @ a749 )
      | ( c0_1 @ a749 ) )
   <= ( ~ ( c1_1 @ a749 )
      & ! [X78: $i] :
          ( ( c0_1 @ X78 )
          | ( c1_1 @ X78 )
          | ( c3_1 @ X78 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl380,zip_derived_cl548]) ).

thf('185',plain,
    ( ( c1_1 @ a749 )
    | ( c3_1 @ a749 )
    | ~ ! [X78: $i] :
          ( ( c0_1 @ X78 )
          | ( c1_1 @ X78 )
          | ( c3_1 @ X78 ) )
    | ( c0_1 @ a749 ) ),
    inference(split,[status(esa)],[zip_derived_cl1803]) ).

thf(zip_derived_cl54,plain,
    ! [X79: $i,X80: $i,X81: $i] :
      ( ( c0_1 @ X79 )
      | ( c1_1 @ X79 )
      | ( c3_1 @ X79 )
      | ~ ndr1_0
      | ( c2_1 @ X80 )
      | ~ ( c0_1 @ X80 )
      | ~ ( c1_1 @ X80 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X81 )
      | ~ ( c1_1 @ X81 )
      | ~ ( c3_1 @ X81 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('186',plain,
    ( ! [X78: $i] :
        ( ( c0_1 @ X78 )
        | ( c1_1 @ X78 )
        | ( c3_1 @ X78 ) )
    | ! [X35: $i] :
        ( ~ ( c0_1 @ X35 )
        | ~ ( c1_1 @ X35 )
        | ~ ( c3_1 @ X35 ) )
    | ~ ndr1_0
    | ! [X40: $i] :
        ( ( c2_1 @ X40 )
        | ~ ( c0_1 @ X40 )
        | ~ ( c1_1 @ X40 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf(zip_derived_cl43489,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']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN451+1 : TPTP v8.1.2. Released v2.1.0.
% 0.03/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ssoGBVRxIz true
% 0.14/0.34  % Computer : n009.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Sat Aug 26 19:39:35 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.57/0.65  % Total configuration time : 435
% 0.57/0.65  % Estimated wc time : 1092
% 0.57/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.69  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.74  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.75  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 30.06/4.87  % Solved by fo/fo1_av.sh.
% 30.06/4.87  % done 7563 iterations in 4.085s
% 30.06/4.87  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 30.06/4.87  % SZS output start Refutation
% See solution above
% 30.06/4.88  
% 30.06/4.88  
% 30.06/4.88  % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 30.06/4.88  % Terminating...
% 30.58/4.97  % Runner terminated.
% 30.58/4.99  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------