TSTP Solution File: SYN508+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN508+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.1mr8eS0nUo true

% Computer : n007.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep  1 04:04:18 EDT 2023

% Result   : Theorem 30.31s 4.92s
% Output   : Refutation 30.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   70
% Syntax   : Number of formulae    :  880 (   1 unt;  69 typ;   0 def)
%            Number of atoms       : 5339 (   0 equ;   0 cnn)
%            Maximal formula atoms :  747 (   6 avg)
%            Number of connectives : 11437 (2709   ~;3354   |; 559   &;4200   @)
%                                         (   0 <=>; 232  =>; 383  <=;   0 <~>)
%            Maximal formula depth :  115 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   70 (  69 usr;  66 con; 0-1 aty)
%            Number of variables   :  968 (   0   ^; 968   !;   0   ?; 968   :)

% Comments : 
%------------------------------------------------------------------------------
thf(a710_type,type,
    a710: $i ).

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

thf(a714_type,type,
    a714: $i ).

thf(a721_type,type,
    a721: $i ).

thf(a757_type,type,
    a757: $i ).

thf(a705_type,type,
    a705: $i ).

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

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

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

thf(a706_type,type,
    a706: $i ).

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

thf(a716_type,type,
    a716: $i ).

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

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

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

thf(a707_type,type,
    a707: $i ).

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

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

thf(a711_type,type,
    a711: $i ).

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

thf(a756_type,type,
    a756: $i ).

thf(a709_type,type,
    a709: $i ).

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

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

thf(a720_type,type,
    a720: $i ).

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

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

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

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

thf(a723_type,type,
    a723: $i ).

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

thf(a719_type,type,
    a719: $i ).

thf(a725_type,type,
    a725: $i ).

thf(a739_type,type,
    a739: $i ).

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

thf(a773_type,type,
    a773: $i ).

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

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

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

thf(a747_type,type,
    a747: $i ).

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

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

thf(a717_type,type,
    a717: $i ).

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

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

thf(a708_type,type,
    a708: $i ).

thf(a718_type,type,
    a718: $i ).

thf(a727_type,type,
    a727: $i ).

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

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

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

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

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

thf(a713_type,type,
    a713: $i ).

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

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

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

thf(a762_type,type,
    a762: $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(c3_1_type,type,
    c3_1: $i > $o ).

thf(a780_type,type,
    a780: $i ).

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

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

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

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

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

thf(co1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & ~ ( c0_1 @ a706 )
          & ~ ( c1_1 @ a706 )
          & ~ ( c2_1 @ a706 ) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & ( c0_1 @ a707 )
          & ~ ( c1_1 @ a707 )
          & ~ ( c2_1 @ a707 ) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & ( c1_1 @ a708 )
          & ~ ( c0_1 @ a708 )
          & ~ ( c3_1 @ a708 ) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & ~ ( c1_1 @ a710 )
          & ~ ( c2_1 @ a710 )
          & ~ ( c3_1 @ a710 ) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & ( c0_1 @ a711 )
          & ~ ( c1_1 @ a711 )
          & ~ ( c3_1 @ a711 ) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & ~ ( c0_1 @ a713 )
          & ~ ( c2_1 @ a713 )
          & ~ ( c3_1 @ a713 ) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & ( c0_1 @ a716 )
          & ( c2_1 @ a716 )
          & ~ ( c3_1 @ a716 ) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & ( c0_1 @ a717 )
          & ~ ( c2_1 @ a717 )
          & ~ ( c3_1 @ a717 ) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & ( c1_1 @ a718 )
          & ~ ( c0_1 @ a718 )
          & ~ ( c2_1 @ a718 ) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & ( c1_1 @ a719 )
          & ( c2_1 @ a719 )
          & ~ ( c0_1 @ a719 ) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & ( c3_1 @ a720 )
          & ~ ( c1_1 @ a720 )
          & ~ ( c2_1 @ a720 ) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & ( c3_1 @ a721 )
          & ~ ( c0_1 @ a721 )
          & ~ ( c1_1 @ a721 ) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & ( c2_1 @ a725 )
          & ~ ( c0_1 @ a725 )
          & ~ ( c1_1 @ a725 ) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & ( c3_1 @ a727 )
          & ~ ( c0_1 @ a727 )
          & ~ ( c2_1 @ a727 ) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & ( c1_1 @ a730 )
          & ( c3_1 @ a730 )
          & ~ ( c2_1 @ a730 ) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & ( c2_1 @ a731 )
          & ~ ( c0_1 @ a731 )
          & ~ ( c3_1 @ a731 ) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & ( c0_1 @ a732 )
          & ( c3_1 @ a732 )
          & ~ ( c1_1 @ a732 ) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & ~ ( c0_1 @ a734 )
          & ~ ( c1_1 @ a734 )
          & ~ ( c3_1 @ a734 ) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & ( c2_1 @ a739 )
          & ( c3_1 @ a739 )
          & ~ ( c1_1 @ a739 ) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & ( c1_1 @ a741 )
          & ( c3_1 @ a741 )
          & ~ ( c0_1 @ a741 ) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & ( c1_1 @ a747 )
          & ~ ( c2_1 @ a747 )
          & ~ ( c3_1 @ a747 ) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & ( c2_1 @ a748 )
          & ( c3_1 @ a748 )
          & ~ ( c0_1 @ a748 ) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & ( c1_1 @ a756 )
          & ( c2_1 @ a756 )
          & ~ ( c3_1 @ a756 ) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & ( c0_1 @ a757 )
          & ( c1_1 @ a757 )
          & ~ ( c2_1 @ a757 ) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & ( c0_1 @ a762 )
          & ( c3_1 @ a762 )
          & ~ ( c2_1 @ a762 ) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & ( c0_1 @ a764 )
          & ( c2_1 @ a764 )
          & ~ ( c1_1 @ a764 ) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & ( c0_1 @ a773 )
          & ( c1_1 @ a773 )
          & ~ ( c3_1 @ a773 ) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & ( c2_1 @ a780 )
          & ~ ( c1_1 @ a780 )
          & ~ ( c3_1 @ a780 ) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & ( c0_1 @ a705 )
          & ( c1_1 @ a705 )
          & ( c2_1 @ a705 ) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & ( c1_1 @ a709 )
          & ( c2_1 @ a709 )
          & ( c3_1 @ a709 ) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & ( c0_1 @ a714 )
          & ( c2_1 @ a714 )
          & ( c3_1 @ a714 ) ) )
      & ( ~ hskp31
        | ( ndr1_0
          & ( c0_1 @ a723 )
          & ( c1_1 @ a723 )
          & ( c3_1 @ a723 ) ) )
      & ( ! [U: $i] :
            ( ndr1_0
           => ( ( c0_1 @ U )
              | ( c1_1 @ U )
              | ( c2_1 @ U ) ) )
        | hskp28
        | hskp0 )
      & ( ! [V: $i] :
            ( ndr1_0
           => ( ( c0_1 @ V )
              | ( c1_1 @ V )
              | ( c2_1 @ V ) ) )
        | hskp1
        | hskp2 )
      & ( ! [W: $i] :
            ( ndr1_0
           => ( ( c0_1 @ W )
              | ( c1_1 @ W )
              | ( c3_1 @ W ) ) )
        | ! [X: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X )
              | ( c1_1 @ X )
              | ~ ( c2_1 @ X ) ) )
        | ! [Y: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ Y )
              | ~ ( c2_1 @ Y )
              | ~ ( c3_1 @ Y ) ) ) )
      & ( ! [Z: $i] :
            ( ndr1_0
           => ( ( c0_1 @ Z )
              | ( c1_1 @ Z )
              | ( c3_1 @ Z ) ) )
        | ! [X1: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X1 )
              | ( c2_1 @ X1 )
              | ( c3_1 @ X1 ) ) )
        | hskp29 )
      & ( ! [X2: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X2 )
              | ( c1_1 @ X2 )
              | ( c3_1 @ X2 ) ) )
        | ! [X3: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X3 )
              | ~ ( c2_1 @ X3 )
              | ~ ( c3_1 @ X3 ) ) )
        | ! [X4: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X4 )
              | ~ ( c1_1 @ X4 )
              | ~ ( c3_1 @ X4 ) ) ) )
      & ( ! [X5: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X5 )
              | ( c1_1 @ X5 )
              | ( c3_1 @ X5 ) ) )
        | ! [X6: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X6 )
              | ~ ( c0_1 @ X6 )
              | ~ ( c3_1 @ X6 ) ) )
        | hskp3 )
      & ( ! [X7: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X7 )
              | ( c1_1 @ X7 )
              | ~ ( c2_1 @ X7 ) ) )
        | ! [X8: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X8 )
              | ( c1_1 @ X8 )
              | ~ ( c3_1 @ X8 ) ) )
        | ! [X9: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X9 )
              | ~ ( c2_1 @ X9 )
              | ~ ( c3_1 @ X9 ) ) ) )
      & ( ! [X10: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X10 )
              | ( c1_1 @ X10 )
              | ~ ( c2_1 @ X10 ) ) )
        | ! [X11: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X11 )
              | ( c1_1 @ X11 )
              | ~ ( c3_1 @ X11 ) ) )
        | ! [X12: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X12 )
              | ( c3_1 @ X12 )
              | ~ ( c1_1 @ X12 ) ) ) )
      & ( ! [X13: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X13 )
              | ( c1_1 @ X13 )
              | ~ ( c2_1 @ X13 ) ) )
        | ! [X14: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X14 )
              | ( c3_1 @ X14 )
              | ~ ( c2_1 @ X14 ) ) )
        | hskp4 )
      & ( ! [X15: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X15 )
              | ( c1_1 @ X15 )
              | ~ ( c2_1 @ X15 ) ) )
        | ! [X16: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X16 )
              | ~ ( c2_1 @ X16 )
              | ~ ( c3_1 @ X16 ) ) )
        | ! [X17: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X17 )
              | ~ ( c2_1 @ X17 )
              | ~ ( c3_1 @ X17 ) ) ) )
      & ( ! [X18: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X18 )
              | ( c1_1 @ X18 )
              | ~ ( c2_1 @ X18 ) ) )
        | hskp4
        | hskp5 )
      & ( ! [X19: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X19 )
              | ( c1_1 @ X19 )
              | ~ ( c3_1 @ X19 ) ) )
        | ! [X20: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X20 )
              | ( c2_1 @ X20 )
              | ( c3_1 @ X20 ) ) )
        | ! [X21: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X21 )
              | ~ ( c0_1 @ X21 )
              | ~ ( c2_1 @ X21 ) ) ) )
      & ( ! [X22: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X22 )
              | ( c1_1 @ X22 )
              | ~ ( c3_1 @ X22 ) ) )
        | ! [X23: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X23 )
              | ~ ( c0_1 @ X23 )
              | ~ ( c2_1 @ X23 ) ) )
        | hskp30 )
      & ( ! [X24: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X24 )
              | ( c1_1 @ X24 )
              | ~ ( c3_1 @ X24 ) ) )
        | ! [X25: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X25 )
              | ( c3_1 @ X25 )
              | ~ ( c0_1 @ X25 ) ) )
        | hskp29 )
      & ( ! [X26: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X26 )
              | ( c1_1 @ X26 )
              | ~ ( c3_1 @ X26 ) ) )
        | ! [X27: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X27 )
              | ~ ( c1_1 @ X27 )
              | ~ ( c3_1 @ X27 ) ) )
        | hskp6 )
      & ( ! [X28: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X28 )
              | ( c1_1 @ X28 )
              | ~ ( c3_1 @ X28 ) ) )
        | hskp7
        | hskp8 )
      & ( ! [X29: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X29 )
              | ( c2_1 @ X29 )
              | ( c3_1 @ X29 ) ) )
        | ! [X30: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X30 )
              | ( c2_1 @ X30 )
              | ~ ( c0_1 @ X30 ) ) )
        | ! [X31: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X31 )
              | ~ ( c2_1 @ X31 )
              | ~ ( c3_1 @ X31 ) ) ) )
      & ( ! [X32: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X32 )
              | ( c2_1 @ X32 )
              | ( c3_1 @ X32 ) ) )
        | hskp9
        | hskp10 )
      & ( ! [X33: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X33 )
              | ( c2_1 @ X33 )
              | ~ ( c1_1 @ X33 ) ) )
        | ! [X34: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X34 )
              | ( c2_1 @ X34 )
              | ~ ( c0_1 @ X34 ) ) )
        | ! [X35: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X35 )
              | ( c2_1 @ X35 )
              | ~ ( c3_1 @ X35 ) ) ) )
      & ( ! [X36: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X36 )
              | ( c2_1 @ X36 )
              | ~ ( c1_1 @ X36 ) ) )
        | ! [X37: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X37 )
              | ~ ( c2_1 @ X37 )
              | ~ ( c3_1 @ X37 ) ) )
        | ! [X38: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X38 )
              | ~ ( c1_1 @ X38 )
              | ~ ( c2_1 @ X38 ) ) ) )
      & ( ! [X39: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X39 )
              | ( c2_1 @ X39 )
              | ~ ( c1_1 @ X39 ) ) )
        | ! [X40: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X40 )
              | ~ ( c2_1 @ X40 )
              | ~ ( c3_1 @ X40 ) ) )
        | hskp11 )
      & ( ! [X41: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X41 )
              | ( c2_1 @ X41 )
              | ~ ( c1_1 @ X41 ) ) )
        | ! [X42: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X42 )
              | ~ ( c0_1 @ X42 )
              | ~ ( c1_1 @ X42 ) ) )
        | hskp28 )
      & ( ! [X43: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X43 )
              | ( c2_1 @ X43 )
              | ~ ( c1_1 @ X43 ) ) )
        | ! [X44: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X44 )
              | ~ ( c1_1 @ X44 )
              | ~ ( c3_1 @ X44 ) ) )
        | hskp31 )
      & ( ! [X45: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X45 )
              | ( c2_1 @ X45 )
              | ~ ( c1_1 @ X45 ) ) )
        | hskp1
        | hskp12 )
      & ( ! [X46: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X46 )
              | ( c2_1 @ X46 )
              | ~ ( c1_1 @ X46 ) ) )
        | hskp8
        | hskp13 )
      & ( ! [X47: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X47 )
              | ( c2_1 @ X47 )
              | ~ ( c3_1 @ X47 ) ) )
        | hskp30
        | hskp7 )
      & ( ! [X48: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X48 )
              | ( c2_1 @ X48 )
              | ~ ( c3_1 @ X48 ) ) )
        | hskp14
        | hskp15 )
      & ( ! [X49: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X49 )
              | ( c3_1 @ X49 )
              | ~ ( c1_1 @ X49 ) ) )
        | ! [X50: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X50 )
              | ~ ( c0_1 @ X50 )
              | ~ ( c3_1 @ X50 ) ) )
        | hskp16 )
      & ( ! [X51: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X51 )
              | ( c3_1 @ X51 )
              | ~ ( c1_1 @ X51 ) ) )
        | hskp15
        | hskp17 )
      & ( ! [X52: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X52 )
              | ( c3_1 @ X52 )
              | ~ ( c2_1 @ X52 ) ) )
        | ! [X53: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X53 )
              | ~ ( c2_1 @ X53 )
              | ~ ( c3_1 @ X53 ) ) )
        | hskp29 )
      & ( ! [X54: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X54 )
              | ( c3_1 @ X54 )
              | ~ ( c2_1 @ X54 ) ) )
        | hskp4
        | hskp3 )
      & ( ! [X55: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X55 )
              | ~ ( c1_1 @ X55 )
              | ~ ( c2_1 @ X55 ) ) )
        | hskp28
        | hskp18 )
      & ( ! [X56: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X56 )
              | ~ ( c1_1 @ X56 )
              | ~ ( c3_1 @ X56 ) ) )
        | ! [X57: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X57 )
              | ~ ( c0_1 @ X57 )
              | ~ ( c3_1 @ X57 ) ) )
        | hskp2 )
      & ( ! [X58: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X58 )
              | ~ ( c1_1 @ X58 )
              | ~ ( c3_1 @ X58 ) ) )
        | ! [X59: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X59 )
              | ~ ( c1_1 @ X59 )
              | ~ ( c3_1 @ X59 ) ) )
        | hskp19 )
      & ( ! [X60: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X60 )
              | ~ ( c1_1 @ X60 )
              | ~ ( c3_1 @ X60 ) ) )
        | ! [X61: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X61 )
              | ~ ( c2_1 @ X61 )
              | ~ ( c3_1 @ X61 ) ) )
        | hskp28 )
      & ( ! [X62: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X62 )
              | ~ ( c1_1 @ X62 )
              | ~ ( c3_1 @ X62 ) ) )
        | hskp1
        | hskp8 )
      & ( ! [X63: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X63 )
              | ~ ( c1_1 @ X63 )
              | ~ ( c3_1 @ X63 ) ) )
        | hskp18
        | hskp17 )
      & ( ! [X64: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X64 )
              | ~ ( c2_1 @ X64 )
              | ~ ( c3_1 @ X64 ) ) )
        | ! [X65: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X65 )
              | ( c3_1 @ X65 )
              | ~ ( c1_1 @ X65 ) ) )
        | hskp20 )
      & ( ! [X66: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X66 )
              | ~ ( c2_1 @ X66 )
              | ~ ( c3_1 @ X66 ) ) )
        | ! [X67: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X67 )
              | ~ ( c0_1 @ X67 )
              | ~ ( c2_1 @ X67 ) ) )
        | ! [X68: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X68 )
              | ~ ( c1_1 @ X68 )
              | ~ ( c2_1 @ X68 ) ) ) )
      & ( ! [X69: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X69 )
              | ~ ( c2_1 @ X69 )
              | ~ ( c3_1 @ X69 ) ) )
        | hskp21
        | hskp17 )
      & ( ! [X70: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X70 )
              | ( c2_1 @ X70 )
              | ( c3_1 @ X70 ) ) )
        | ! [X71: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X71 )
              | ( c3_1 @ X71 )
              | ~ ( c0_1 @ X71 ) ) )
        | ! [X72: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X72 )
              | ( c3_1 @ X72 )
              | ~ ( c1_1 @ X72 ) ) ) )
      & ( ! [X73: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X73 )
              | ( c2_1 @ X73 )
              | ( c3_1 @ X73 ) ) )
        | ! [X74: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X74 )
              | ( c3_1 @ X74 )
              | ~ ( c2_1 @ X74 ) ) )
        | hskp17 )
      & ( ! [X75: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X75 )
              | ( c2_1 @ X75 )
              | ~ ( c0_1 @ X75 ) ) )
        | hskp30
        | hskp18 )
      & ( ! [X76: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X76 )
              | ( c2_1 @ X76 )
              | ~ ( c0_1 @ X76 ) ) )
        | hskp6
        | hskp13 )
      & ( ! [X77: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X77 )
              | ( c2_1 @ X77 )
              | ~ ( c0_1 @ X77 ) ) )
        | hskp16
        | hskp22 )
      & ( ! [X78: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X78 )
              | ( c2_1 @ X78 )
              | ~ ( c3_1 @ X78 ) ) )
        | ! [X79: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X79 )
              | ~ ( c0_1 @ X79 )
              | ~ ( c3_1 @ X79 ) ) )
        | hskp23 )
      & ( ! [X80: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X80 )
              | ( c2_1 @ X80 )
              | ~ ( c3_1 @ X80 ) ) )
        | ! [X81: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X81 )
              | ~ ( c1_1 @ X81 )
              | ~ ( c2_1 @ X81 ) ) ) )
      & ( ! [X82: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X82 )
              | ( c2_1 @ X82 )
              | ~ ( c3_1 @ X82 ) ) )
        | hskp14
        | hskp17 )
      & ( ! [X83: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X83 )
              | ( c3_1 @ X83 )
              | ~ ( c0_1 @ X83 ) ) )
        | ! [X84: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X84 )
              | ~ ( c2_1 @ X84 )
              | ~ ( c3_1 @ X84 ) ) )
        | hskp4 )
      & ( ! [X85: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X85 )
              | ( c3_1 @ X85 )
              | ~ ( c2_1 @ X85 ) ) )
        | ! [X86: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X86 )
              | ( c3_1 @ X86 )
              | ~ ( c0_1 @ X86 ) ) )
        | hskp13 )
      & ( ! [X87: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X87 )
              | ( c3_1 @ X87 )
              | ~ ( c2_1 @ X87 ) ) )
        | hskp24
        | hskp18 )
      & ( ! [X88: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X88 )
              | ~ ( c0_1 @ X88 )
              | ~ ( c3_1 @ X88 ) ) )
        | ! [X89: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X89 )
              | ~ ( c2_1 @ X89 )
              | ~ ( c3_1 @ X89 ) ) )
        | hskp25 )
      & ( ! [X90: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X90 )
              | ~ ( c0_1 @ X90 )
              | ~ ( c3_1 @ X90 ) ) )
        | hskp29
        | hskp5 )
      & ( ! [X91: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X91 )
              | ~ ( c0_1 @ X91 )
              | ~ ( c3_1 @ X91 ) ) )
        | hskp0
        | hskp5 )
      & ( ! [X92: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X92 )
              | ~ ( c2_1 @ X92 )
              | ~ ( c3_1 @ X92 ) ) )
        | ! [X93: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X93 )
              | ~ ( c0_1 @ X93 )
              | ~ ( c1_1 @ X93 ) ) )
        | hskp14 )
      & ( ! [X94: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X94 )
              | ~ ( c2_1 @ X94 )
              | ~ ( c3_1 @ X94 ) ) )
        | hskp30
        | hskp22 )
      & ( ! [X95: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X95 )
              | ( c3_1 @ X95 )
              | ~ ( c0_1 @ X95 ) ) )
        | ! [X96: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X96 )
              | ~ ( c0_1 @ X96 )
              | ~ ( c1_1 @ X96 ) ) )
        | hskp16 )
      & ( ! [X97: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X97 )
              | ( c3_1 @ X97 )
              | ~ ( c1_1 @ X97 ) ) )
        | hskp26
        | hskp11 )
      & ( ! [X98: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X98 )
              | ( c3_1 @ X98 )
              | ~ ( c1_1 @ X98 ) ) )
        | hskp29
        | hskp13 )
      & ( ! [X99: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X99 )
              | ~ ( c0_1 @ X99 )
              | ~ ( c1_1 @ X99 ) ) )
        | ! [X100: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X100 )
              | ~ ( c0_1 @ X100 )
              | ~ ( c1_1 @ X100 ) ) )
        | ! [X101: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X101 )
              | ~ ( c0_1 @ X101 )
              | ~ ( c2_1 @ X101 ) ) ) )
      & ( ! [X102: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X102 )
              | ~ ( c0_1 @ X102 )
              | ~ ( c1_1 @ X102 ) ) )
        | hskp28
        | hskp31 )
      & ( ! [X103: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X103 )
              | ~ ( c0_1 @ X103 )
              | ~ ( c1_1 @ X103 ) ) )
        | hskp31
        | hskp27 )
      & ( ! [X104: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X104 )
              | ~ ( c0_1 @ X104 )
              | ~ ( c1_1 @ X104 ) ) )
        | hskp16
        | hskp17 )
      & ( ! [X105: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X105 )
              | ~ ( c0_1 @ X105 )
              | ~ ( c1_1 @ X105 ) ) )
        | hskp19
        | hskp8 )
      & ( ! [X106: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X106 )
              | ~ ( c0_1 @ X106 )
              | ~ ( c1_1 @ X106 ) ) )
        | ! [X107: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X107 )
              | ~ ( c2_1 @ X107 )
              | ~ ( c3_1 @ X107 ) ) )
        | hskp2 )
      & ( ! [X108: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X108 )
              | ~ ( c0_1 @ X108 )
              | ~ ( c1_1 @ X108 ) ) )
        | hskp7
        | hskp27 )
      & ( ! [X109: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X109 )
              | ~ ( c0_1 @ X109 )
              | ~ ( c2_1 @ X109 ) ) )
        | hskp31
        | hskp1 )
      & ( ! [X110: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X110 )
              | ~ ( c1_1 @ X110 )
              | ~ ( c2_1 @ X110 ) ) )
        | hskp8
        | hskp0 )
      & ( hskp23
        | hskp30
        | hskp17 )
      & ( hskp25
        | hskp29
        | hskp9 )
      & ( hskp25
        | hskp18
        | hskp12 )
      & ( hskp6
        | hskp1
        | hskp21 )
      & ( hskp6
        | hskp8
        | hskp18 )
      & ( hskp16
        | hskp24
        | hskp4 )
      & ( hskp24
        | hskp1
        | hskp2 )
      & ( hskp7
        | hskp14
        | hskp8 )
      & ( hskp29
        | hskp18
        | hskp10 )
      & ( hskp9
        | hskp20
        | hskp18 )
      & ( hskp22
        | hskp8
        | hskp11 )
      & ( hskp18
        | hskp11
        | hskp5 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( ~ hskp0
      | ( ndr1_0
        & ~ ( c0_1 @ a706 )
        & ~ ( c1_1 @ a706 )
        & ~ ( c2_1 @ a706 ) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ( c0_1 @ a707 )
        & ~ ( c1_1 @ a707 )
        & ~ ( c2_1 @ a707 ) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ( c1_1 @ a708 )
        & ~ ( c0_1 @ a708 )
        & ~ ( c3_1 @ a708 ) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ~ ( c1_1 @ a710 )
        & ~ ( c2_1 @ a710 )
        & ~ ( c3_1 @ a710 ) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ( c0_1 @ a711 )
        & ~ ( c1_1 @ a711 )
        & ~ ( c3_1 @ a711 ) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ~ ( c0_1 @ a713 )
        & ~ ( c2_1 @ a713 )
        & ~ ( c3_1 @ a713 ) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ( c0_1 @ a716 )
        & ( c2_1 @ a716 )
        & ~ ( c3_1 @ a716 ) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & ( c0_1 @ a717 )
        & ~ ( c2_1 @ a717 )
        & ~ ( c3_1 @ a717 ) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ( c1_1 @ a718 )
        & ~ ( c0_1 @ a718 )
        & ~ ( c2_1 @ a718 ) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ( c1_1 @ a719 )
        & ( c2_1 @ a719 )
        & ~ ( c0_1 @ a719 ) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ( c3_1 @ a720 )
        & ~ ( c1_1 @ a720 )
        & ~ ( c2_1 @ a720 ) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ( c3_1 @ a721 )
        & ~ ( c0_1 @ a721 )
        & ~ ( c1_1 @ a721 ) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ( c2_1 @ a725 )
        & ~ ( c0_1 @ a725 )
        & ~ ( c1_1 @ a725 ) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & ( c3_1 @ a727 )
        & ~ ( c0_1 @ a727 )
        & ~ ( c2_1 @ a727 ) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ( c1_1 @ a730 )
        & ( c3_1 @ a730 )
        & ~ ( c2_1 @ a730 ) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & ( c2_1 @ a731 )
        & ~ ( c0_1 @ a731 )
        & ~ ( c3_1 @ a731 ) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & ( c0_1 @ a732 )
        & ( c3_1 @ a732 )
        & ~ ( c1_1 @ a732 ) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ~ ( c0_1 @ a734 )
        & ~ ( c1_1 @ a734 )
        & ~ ( c3_1 @ a734 ) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ( c2_1 @ a739 )
        & ( c3_1 @ a739 )
        & ~ ( c1_1 @ a739 ) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ( c1_1 @ a741 )
        & ( c3_1 @ a741 )
        & ~ ( c0_1 @ a741 ) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ( c1_1 @ a747 )
        & ~ ( c2_1 @ a747 )
        & ~ ( c3_1 @ a747 ) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & ( c2_1 @ a748 )
        & ( c3_1 @ a748 )
        & ~ ( c0_1 @ a748 ) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ( c1_1 @ a756 )
        & ( c2_1 @ a756 )
        & ~ ( c3_1 @ a756 ) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ( c0_1 @ a757 )
        & ( c1_1 @ a757 )
        & ~ ( c2_1 @ a757 ) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ( c0_1 @ a762 )
        & ( c3_1 @ a762 )
        & ~ ( c2_1 @ a762 ) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ( c0_1 @ a764 )
        & ( c2_1 @ a764 )
        & ~ ( c1_1 @ a764 ) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ( c0_1 @ a773 )
        & ( c1_1 @ a773 )
        & ~ ( c3_1 @ a773 ) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ( c2_1 @ a780 )
        & ~ ( c1_1 @ a780 )
        & ~ ( c3_1 @ a780 ) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & ( c0_1 @ a705 )
        & ( c1_1 @ a705 )
        & ( c2_1 @ a705 ) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & ( c1_1 @ a709 )
        & ( c2_1 @ a709 )
        & ( c3_1 @ a709 ) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & ( c0_1 @ a714 )
        & ( c2_1 @ a714 )
        & ( c3_1 @ a714 ) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & ( c0_1 @ a723 )
        & ( c1_1 @ a723 )
        & ( c3_1 @ a723 ) ) )
    & ( ! [U: $i] :
          ( ndr1_0
         => ( ( c0_1 @ U )
            | ( c1_1 @ U )
            | ( c2_1 @ U ) ) )
      | hskp28
      | hskp0 )
    & ( ! [V: $i] :
          ( ndr1_0
         => ( ( c0_1 @ V )
            | ( c1_1 @ V )
            | ( c2_1 @ V ) ) )
      | hskp1
      | hskp2 )
    & ( ! [W: $i] :
          ( ndr1_0
         => ( ( c0_1 @ W )
            | ( c1_1 @ W )
            | ( c3_1 @ W ) ) )
      | ! [X: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X )
            | ( c1_1 @ X )
            | ~ ( c2_1 @ X ) ) )
      | ! [Y: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ Y )
            | ~ ( c2_1 @ Y )
            | ~ ( c3_1 @ Y ) ) ) )
    & ( ! [Z: $i] :
          ( ndr1_0
         => ( ( c0_1 @ Z )
            | ( c1_1 @ Z )
            | ( c3_1 @ Z ) ) )
      | ! [X1: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X1 )
            | ( c2_1 @ X1 )
            | ( c3_1 @ X1 ) ) )
      | hskp29 )
    & ( ! [X2: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X2 )
            | ( c1_1 @ X2 )
            | ( c3_1 @ X2 ) ) )
      | ! [X3: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X3 )
            | ~ ( c2_1 @ X3 )
            | ~ ( c3_1 @ X3 ) ) )
      | ! [X4: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X4 )
            | ~ ( c1_1 @ X4 )
            | ~ ( c3_1 @ X4 ) ) ) )
    & ( ! [X5: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X5 )
            | ( c1_1 @ X5 )
            | ( c3_1 @ X5 ) ) )
      | ! [X6: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X6 )
            | ~ ( c0_1 @ X6 )
            | ~ ( c3_1 @ X6 ) ) )
      | hskp3 )
    & ( ! [X7: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X7 )
            | ( c1_1 @ X7 )
            | ~ ( c2_1 @ X7 ) ) )
      | ! [X8: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X8 )
            | ( c1_1 @ X8 )
            | ~ ( c3_1 @ X8 ) ) )
      | ! [X9: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X9 )
            | ~ ( c2_1 @ X9 )
            | ~ ( c3_1 @ X9 ) ) ) )
    & ( ! [X10: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X10 )
            | ( c1_1 @ X10 )
            | ~ ( c2_1 @ X10 ) ) )
      | ! [X11: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X11 )
            | ( c1_1 @ X11 )
            | ~ ( c3_1 @ X11 ) ) )
      | ! [X12: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X12 )
            | ( c3_1 @ X12 )
            | ~ ( c1_1 @ X12 ) ) ) )
    & ( ! [X13: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X13 )
            | ( c1_1 @ X13 )
            | ~ ( c2_1 @ X13 ) ) )
      | ! [X14: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X14 )
            | ( c3_1 @ X14 )
            | ~ ( c2_1 @ X14 ) ) )
      | hskp4 )
    & ( ! [X15: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X15 )
            | ( c1_1 @ X15 )
            | ~ ( c2_1 @ X15 ) ) )
      | ! [X16: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X16 )
            | ~ ( c2_1 @ X16 )
            | ~ ( c3_1 @ X16 ) ) )
      | ! [X17: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X17 )
            | ~ ( c2_1 @ X17 )
            | ~ ( c3_1 @ X17 ) ) ) )
    & ( ! [X18: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X18 )
            | ( c1_1 @ X18 )
            | ~ ( c2_1 @ X18 ) ) )
      | hskp4
      | hskp5 )
    & ( ! [X19: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X19 )
            | ( c1_1 @ X19 )
            | ~ ( c3_1 @ X19 ) ) )
      | ! [X20: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X20 )
            | ( c2_1 @ X20 )
            | ( c3_1 @ X20 ) ) )
      | ! [X21: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X21 )
            | ~ ( c0_1 @ X21 )
            | ~ ( c2_1 @ X21 ) ) ) )
    & ( ! [X22: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X22 )
            | ( c1_1 @ X22 )
            | ~ ( c3_1 @ X22 ) ) )
      | ! [X23: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X23 )
            | ~ ( c0_1 @ X23 )
            | ~ ( c2_1 @ X23 ) ) )
      | hskp30 )
    & ( ! [X24: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X24 )
            | ( c1_1 @ X24 )
            | ~ ( c3_1 @ X24 ) ) )
      | ! [X25: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X25 )
            | ( c3_1 @ X25 )
            | ~ ( c0_1 @ X25 ) ) )
      | hskp29 )
    & ( ! [X26: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X26 )
            | ( c1_1 @ X26 )
            | ~ ( c3_1 @ X26 ) ) )
      | ! [X27: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X27 )
            | ~ ( c1_1 @ X27 )
            | ~ ( c3_1 @ X27 ) ) )
      | hskp6 )
    & ( ! [X28: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X28 )
            | ( c1_1 @ X28 )
            | ~ ( c3_1 @ X28 ) ) )
      | hskp7
      | hskp8 )
    & ( ! [X29: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X29 )
            | ( c2_1 @ X29 )
            | ( c3_1 @ X29 ) ) )
      | ! [X30: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X30 )
            | ( c2_1 @ X30 )
            | ~ ( c0_1 @ X30 ) ) )
      | ! [X31: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X31 )
            | ~ ( c2_1 @ X31 )
            | ~ ( c3_1 @ X31 ) ) ) )
    & ( ! [X32: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X32 )
            | ( c2_1 @ X32 )
            | ( c3_1 @ X32 ) ) )
      | hskp9
      | hskp10 )
    & ( ! [X33: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X33 )
            | ( c2_1 @ X33 )
            | ~ ( c1_1 @ X33 ) ) )
      | ! [X34: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X34 )
            | ( c2_1 @ X34 )
            | ~ ( c0_1 @ X34 ) ) )
      | ! [X35: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X35 )
            | ( c2_1 @ X35 )
            | ~ ( c3_1 @ X35 ) ) ) )
    & ( ! [X36: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X36 )
            | ( c2_1 @ X36 )
            | ~ ( c1_1 @ X36 ) ) )
      | ! [X37: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X37 )
            | ~ ( c2_1 @ X37 )
            | ~ ( c3_1 @ X37 ) ) )
      | ! [X38: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X38 )
            | ~ ( c1_1 @ X38 )
            | ~ ( c2_1 @ X38 ) ) ) )
    & ( ! [X39: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X39 )
            | ( c2_1 @ X39 )
            | ~ ( c1_1 @ X39 ) ) )
      | ! [X40: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X40 )
            | ~ ( c2_1 @ X40 )
            | ~ ( c3_1 @ X40 ) ) )
      | hskp11 )
    & ( ! [X41: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X41 )
            | ( c2_1 @ X41 )
            | ~ ( c1_1 @ X41 ) ) )
      | ! [X42: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X42 )
            | ~ ( c0_1 @ X42 )
            | ~ ( c1_1 @ X42 ) ) )
      | hskp28 )
    & ( ! [X43: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X43 )
            | ( c2_1 @ X43 )
            | ~ ( c1_1 @ X43 ) ) )
      | ! [X44: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X44 )
            | ~ ( c1_1 @ X44 )
            | ~ ( c3_1 @ X44 ) ) )
      | hskp31 )
    & ( ! [X45: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X45 )
            | ( c2_1 @ X45 )
            | ~ ( c1_1 @ X45 ) ) )
      | hskp1
      | hskp12 )
    & ( ! [X46: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X46 )
            | ( c2_1 @ X46 )
            | ~ ( c1_1 @ X46 ) ) )
      | hskp8
      | hskp13 )
    & ( ! [X47: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X47 )
            | ( c2_1 @ X47 )
            | ~ ( c3_1 @ X47 ) ) )
      | hskp30
      | hskp7 )
    & ( ! [X48: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X48 )
            | ( c2_1 @ X48 )
            | ~ ( c3_1 @ X48 ) ) )
      | hskp14
      | hskp15 )
    & ( ! [X49: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X49 )
            | ( c3_1 @ X49 )
            | ~ ( c1_1 @ X49 ) ) )
      | ! [X50: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X50 )
            | ~ ( c0_1 @ X50 )
            | ~ ( c3_1 @ X50 ) ) )
      | hskp16 )
    & ( ! [X51: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X51 )
            | ( c3_1 @ X51 )
            | ~ ( c1_1 @ X51 ) ) )
      | hskp15
      | hskp17 )
    & ( ! [X52: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X52 )
            | ( c3_1 @ X52 )
            | ~ ( c2_1 @ X52 ) ) )
      | ! [X53: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X53 )
            | ~ ( c2_1 @ X53 )
            | ~ ( c3_1 @ X53 ) ) )
      | hskp29 )
    & ( ! [X54: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X54 )
            | ( c3_1 @ X54 )
            | ~ ( c2_1 @ X54 ) ) )
      | hskp4
      | hskp3 )
    & ( ! [X55: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X55 )
            | ~ ( c1_1 @ X55 )
            | ~ ( c2_1 @ X55 ) ) )
      | hskp28
      | hskp18 )
    & ( ! [X56: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X56 )
            | ~ ( c1_1 @ X56 )
            | ~ ( c3_1 @ X56 ) ) )
      | ! [X57: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X57 )
            | ~ ( c0_1 @ X57 )
            | ~ ( c3_1 @ X57 ) ) )
      | hskp2 )
    & ( ! [X58: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X58 )
            | ~ ( c1_1 @ X58 )
            | ~ ( c3_1 @ X58 ) ) )
      | ! [X59: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X59 )
            | ~ ( c1_1 @ X59 )
            | ~ ( c3_1 @ X59 ) ) )
      | hskp19 )
    & ( ! [X60: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X60 )
            | ~ ( c1_1 @ X60 )
            | ~ ( c3_1 @ X60 ) ) )
      | ! [X61: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X61 )
            | ~ ( c2_1 @ X61 )
            | ~ ( c3_1 @ X61 ) ) )
      | hskp28 )
    & ( ! [X62: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X62 )
            | ~ ( c1_1 @ X62 )
            | ~ ( c3_1 @ X62 ) ) )
      | hskp1
      | hskp8 )
    & ( ! [X63: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X63 )
            | ~ ( c1_1 @ X63 )
            | ~ ( c3_1 @ X63 ) ) )
      | hskp18
      | hskp17 )
    & ( ! [X64: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X64 )
            | ~ ( c2_1 @ X64 )
            | ~ ( c3_1 @ X64 ) ) )
      | ! [X65: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X65 )
            | ( c3_1 @ X65 )
            | ~ ( c1_1 @ X65 ) ) )
      | hskp20 )
    & ( ! [X66: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X66 )
            | ~ ( c2_1 @ X66 )
            | ~ ( c3_1 @ X66 ) ) )
      | ! [X67: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X67 )
            | ~ ( c0_1 @ X67 )
            | ~ ( c2_1 @ X67 ) ) )
      | ! [X68: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X68 )
            | ~ ( c1_1 @ X68 )
            | ~ ( c2_1 @ X68 ) ) ) )
    & ( ! [X69: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X69 )
            | ~ ( c2_1 @ X69 )
            | ~ ( c3_1 @ X69 ) ) )
      | hskp21
      | hskp17 )
    & ( ! [X70: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X70 )
            | ( c2_1 @ X70 )
            | ( c3_1 @ X70 ) ) )
      | ! [X71: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X71 )
            | ( c3_1 @ X71 )
            | ~ ( c0_1 @ X71 ) ) )
      | ! [X72: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X72 )
            | ( c3_1 @ X72 )
            | ~ ( c1_1 @ X72 ) ) ) )
    & ( ! [X73: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X73 )
            | ( c2_1 @ X73 )
            | ( c3_1 @ X73 ) ) )
      | ! [X74: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X74 )
            | ( c3_1 @ X74 )
            | ~ ( c2_1 @ X74 ) ) )
      | hskp17 )
    & ( ! [X75: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X75 )
            | ( c2_1 @ X75 )
            | ~ ( c0_1 @ X75 ) ) )
      | hskp30
      | hskp18 )
    & ( ! [X76: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X76 )
            | ( c2_1 @ X76 )
            | ~ ( c0_1 @ X76 ) ) )
      | hskp6
      | hskp13 )
    & ( ! [X77: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X77 )
            | ( c2_1 @ X77 )
            | ~ ( c0_1 @ X77 ) ) )
      | hskp16
      | hskp22 )
    & ( ! [X78: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X78 )
            | ( c2_1 @ X78 )
            | ~ ( c3_1 @ X78 ) ) )
      | ! [X79: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X79 )
            | ~ ( c0_1 @ X79 )
            | ~ ( c3_1 @ X79 ) ) )
      | hskp23 )
    & ( ! [X80: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X80 )
            | ( c2_1 @ X80 )
            | ~ ( c3_1 @ X80 ) ) )
      | ! [X81: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X81 )
            | ~ ( c1_1 @ X81 )
            | ~ ( c2_1 @ X81 ) ) ) )
    & ( ! [X82: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X82 )
            | ( c2_1 @ X82 )
            | ~ ( c3_1 @ X82 ) ) )
      | hskp14
      | hskp17 )
    & ( ! [X83: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X83 )
            | ( c3_1 @ X83 )
            | ~ ( c0_1 @ X83 ) ) )
      | ! [X84: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X84 )
            | ~ ( c2_1 @ X84 )
            | ~ ( c3_1 @ X84 ) ) )
      | hskp4 )
    & ( ! [X85: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X85 )
            | ( c3_1 @ X85 )
            | ~ ( c2_1 @ X85 ) ) )
      | ! [X86: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X86 )
            | ( c3_1 @ X86 )
            | ~ ( c0_1 @ X86 ) ) )
      | hskp13 )
    & ( ! [X87: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X87 )
            | ( c3_1 @ X87 )
            | ~ ( c2_1 @ X87 ) ) )
      | hskp24
      | hskp18 )
    & ( ! [X88: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X88 )
            | ~ ( c0_1 @ X88 )
            | ~ ( c3_1 @ X88 ) ) )
      | ! [X89: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X89 )
            | ~ ( c2_1 @ X89 )
            | ~ ( c3_1 @ X89 ) ) )
      | hskp25 )
    & ( ! [X90: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X90 )
            | ~ ( c0_1 @ X90 )
            | ~ ( c3_1 @ X90 ) ) )
      | hskp29
      | hskp5 )
    & ( ! [X91: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X91 )
            | ~ ( c0_1 @ X91 )
            | ~ ( c3_1 @ X91 ) ) )
      | hskp0
      | hskp5 )
    & ( ! [X92: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X92 )
            | ~ ( c2_1 @ X92 )
            | ~ ( c3_1 @ X92 ) ) )
      | ! [X93: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X93 )
            | ~ ( c0_1 @ X93 )
            | ~ ( c1_1 @ X93 ) ) )
      | hskp14 )
    & ( ! [X94: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X94 )
            | ~ ( c2_1 @ X94 )
            | ~ ( c3_1 @ X94 ) ) )
      | hskp30
      | hskp22 )
    & ( ! [X95: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X95 )
            | ( c3_1 @ X95 )
            | ~ ( c0_1 @ X95 ) ) )
      | ! [X96: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X96 )
            | ~ ( c0_1 @ X96 )
            | ~ ( c1_1 @ X96 ) ) )
      | hskp16 )
    & ( ! [X97: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X97 )
            | ( c3_1 @ X97 )
            | ~ ( c1_1 @ X97 ) ) )
      | hskp26
      | hskp11 )
    & ( ! [X98: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X98 )
            | ( c3_1 @ X98 )
            | ~ ( c1_1 @ X98 ) ) )
      | hskp29
      | hskp13 )
    & ( ! [X99: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X99 )
            | ~ ( c0_1 @ X99 )
            | ~ ( c1_1 @ X99 ) ) )
      | ! [X100: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X100 )
            | ~ ( c0_1 @ X100 )
            | ~ ( c1_1 @ X100 ) ) )
      | ! [X101: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X101 )
            | ~ ( c0_1 @ X101 )
            | ~ ( c2_1 @ X101 ) ) ) )
    & ( ! [X102: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X102 )
            | ~ ( c0_1 @ X102 )
            | ~ ( c1_1 @ X102 ) ) )
      | hskp28
      | hskp31 )
    & ( ! [X103: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X103 )
            | ~ ( c0_1 @ X103 )
            | ~ ( c1_1 @ X103 ) ) )
      | hskp31
      | hskp27 )
    & ( ! [X104: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X104 )
            | ~ ( c0_1 @ X104 )
            | ~ ( c1_1 @ X104 ) ) )
      | hskp16
      | hskp17 )
    & ( ! [X105: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X105 )
            | ~ ( c0_1 @ X105 )
            | ~ ( c1_1 @ X105 ) ) )
      | hskp19
      | hskp8 )
    & ( ! [X106: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X106 )
            | ~ ( c0_1 @ X106 )
            | ~ ( c1_1 @ X106 ) ) )
      | ! [X107: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X107 )
            | ~ ( c2_1 @ X107 )
            | ~ ( c3_1 @ X107 ) ) )
      | hskp2 )
    & ( ! [X108: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X108 )
            | ~ ( c0_1 @ X108 )
            | ~ ( c1_1 @ X108 ) ) )
      | hskp7
      | hskp27 )
    & ( ! [X109: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X109 )
            | ~ ( c0_1 @ X109 )
            | ~ ( c2_1 @ X109 ) ) )
      | hskp31
      | hskp1 )
    & ( ! [X110: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X110 )
            | ~ ( c1_1 @ X110 )
            | ~ ( c2_1 @ X110 ) ) )
      | hskp8
      | hskp0 )
    & ( hskp23
      | hskp30
      | hskp17 )
    & ( hskp25
      | hskp29
      | hskp9 )
    & ( hskp25
      | hskp18
      | hskp12 )
    & ( hskp6
      | hskp1
      | hskp21 )
    & ( hskp6
      | hskp8
      | hskp18 )
    & ( hskp16
      | hskp24
      | hskp4 )
    & ( hskp24
      | hskp1
      | hskp2 )
    & ( hskp7
      | hskp14
      | hskp8 )
    & ( hskp29
      | hskp18
      | hskp10 )
    & ( hskp9
      | hskp20
      | hskp18 )
    & ( hskp22
      | hskp8
      | hskp11 )
    & ( hskp18
      | hskp11
      | hskp5 ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl190,plain,
    ( ~ hskp4
    | ~ ( c1_1 @ a711 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('0',plain,
    ( ~ ( c1_1 @ a711 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl190]) ).

thf(zip_derived_cl121,plain,
    ( ~ hskp21
    | ( c2_1 @ a748 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl597,plain,
    ( ( c2_1 @ a748 )
   <= ( c2_1 @ a748 ) ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl40,plain,
    ! [X41: $i] :
      ( ( c0_1 @ X41 )
      | ~ ( c2_1 @ X41 )
      | ~ ( c3_1 @ X41 )
      | ~ ndr1_0
      | hskp21
      | hskp17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl355,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_cl40]) ).

thf(zip_derived_cl1607,plain,
    ( ( ( c0_1 @ a748 )
      | ~ ( c3_1 @ a748 ) )
   <= ( ! [X41: $i] :
          ( ( c0_1 @ X41 )
          | ~ ( c2_1 @ X41 )
          | ~ ( c3_1 @ X41 ) )
      & ( c2_1 @ a748 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl597,zip_derived_cl355]) ).

thf('1',plain,
    ( ( c0_1 @ a748 )
    | ~ ( c2_1 @ a748 )
    | ~ ! [X41: $i] :
          ( ( c0_1 @ X41 )
          | ~ ( c2_1 @ X41 )
          | ~ ( c3_1 @ X41 ) )
    | ~ ( c3_1 @ a748 ) ),
    inference(split,[status(esa)],[zip_derived_cl1607]) ).

thf(zip_derived_cl69,plain,
    ! [X92: $i] :
      ( ( c0_1 @ X92 )
      | ( c1_1 @ X92 )
      | ~ ( c2_1 @ X92 )
      | ~ ndr1_0
      | hskp4
      | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('2',plain,
    ( hskp4
    | ! [X92: $i] :
        ( ( c0_1 @ X92 )
        | ( c1_1 @ X92 )
        | ~ ( c2_1 @ X92 ) )
    | hskp5
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl69]) ).

thf(zip_derived_cl74,plain,
    ! [X104: $i,X105: $i] :
      ( ( c0_1 @ X104 )
      | ( c1_1 @ X104 )
      | ( c3_1 @ X104 )
      | ~ ndr1_0
      | ( c2_1 @ X105 )
      | ~ ( c0_1 @ X105 )
      | ~ ( c3_1 @ X105 )
      | ~ ndr1_0
      | hskp3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl492,plain,
    ( ! [X104: $i] :
        ( ( c0_1 @ X104 )
        | ( c1_1 @ X104 )
        | ( c3_1 @ X104 ) )
   <= ! [X104: $i] :
        ( ( c0_1 @ X104 )
        | ( c1_1 @ X104 )
        | ( c3_1 @ X104 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl74]) ).

thf(zip_derived_cl139,plain,
    ( ~ hskp17
    | ~ ( c3_1 @ a734 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl633,plain,
    ( ~ ( c3_1 @ a734 )
   <= ~ ( c3_1 @ a734 ) ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf(zip_derived_cl2318,plain,
    ( ( ( c1_1 @ a734 )
      | ( c0_1 @ a734 ) )
   <= ( ~ ( c3_1 @ a734 )
      & ! [X104: $i] :
          ( ( c0_1 @ X104 )
          | ( c1_1 @ X104 )
          | ( c3_1 @ X104 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl492,zip_derived_cl633]) ).

thf('3',plain,
    ( ~ ! [X104: $i] :
          ( ( c0_1 @ X104 )
          | ( c1_1 @ X104 )
          | ( c3_1 @ X104 ) )
    | ( c0_1 @ a734 )
    | ( c1_1 @ a734 )
    | ( c3_1 @ a734 ) ),
    inference(split,[status(esa)],[zip_derived_cl2318]) ).

thf(zip_derived_cl43,plain,
    ! [X47: $i] :
      ( ( c0_1 @ X47 )
      | ~ ( c1_1 @ X47 )
      | ~ ( c3_1 @ X47 )
      | ~ ndr1_0
      | hskp18
      | hskp17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('4',plain,
    ( hskp17
    | hskp18
    | ~ ndr1_0
    | ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c1_1 @ X47 )
        | ~ ( c3_1 @ X47 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl137,plain,
    ( ~ hskp17
    | ~ ( c0_1 @ a734 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('5',plain,
    ( ~ ( c0_1 @ a734 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(zip_derived_cl138,plain,
    ( ~ hskp17
    | ~ ( c1_1 @ a734 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('6',plain,
    ( ~ ( c1_1 @ a734 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf('7',plain,
    ( ~ ( c3_1 @ a734 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf(zip_derived_cl38,plain,
    ! [X36: $i,X37: $i] :
      ( ( c1_1 @ X36 )
      | ( c2_1 @ X36 )
      | ( c3_1 @ X36 )
      | ~ ndr1_0
      | ( c1_1 @ X37 )
      | ( c3_1 @ X37 )
      | ~ ( c2_1 @ X37 )
      | ~ ndr1_0
      | hskp17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('8',plain,
    ( hskp17
    | ! [X36: $i] :
        ( ( c1_1 @ X36 )
        | ( c2_1 @ X36 )
        | ( c3_1 @ X36 ) )
    | ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ( c3_1 @ X23 )
        | ~ ( c2_1 @ X23 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl348,plain,
    ( ! [X36: $i] :
        ( ( c1_1 @ X36 )
        | ( c2_1 @ X36 )
        | ( c3_1 @ X36 ) )
   <= ! [X36: $i] :
        ( ( c1_1 @ X36 )
        | ( c2_1 @ X36 )
        | ( c3_1 @ X36 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl178,plain,
    ( ~ hskp7
    | ~ ( c2_1 @ a717 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl711,plain,
    ( ~ ( c2_1 @ a717 )
   <= ~ ( c2_1 @ a717 ) ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl1484,plain,
    ( ( ( c3_1 @ a717 )
      | ( c1_1 @ a717 ) )
   <= ( ~ ( c2_1 @ a717 )
      & ! [X36: $i] :
          ( ( c1_1 @ X36 )
          | ( c2_1 @ X36 )
          | ( c3_1 @ X36 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl348,zip_derived_cl711]) ).

thf('9',plain,
    ( ~ ! [X36: $i] :
          ( ( c1_1 @ X36 )
          | ( c2_1 @ X36 )
          | ( c3_1 @ X36 ) )
    | ( c1_1 @ a717 )
    | ( c3_1 @ a717 )
    | ( c2_1 @ a717 ) ),
    inference(split,[status(esa)],[zip_derived_cl1484]) ).

thf(zip_derived_cl64,plain,
    ! [X82: $i] :
      ( ( c0_1 @ X82 )
      | ( c1_1 @ X82 )
      | ~ ( c3_1 @ X82 )
      | ~ ndr1_0
      | hskp7
      | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('10',plain,
    ( hskp7
    | hskp8
    | ~ ndr1_0
    | ! [X82: $i] :
        ( ( c0_1 @ X82 )
        | ( c1_1 @ X82 )
        | ~ ( c3_1 @ X82 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl64]) ).

thf(zip_derived_cl95,plain,
    ( ~ hskp28
    | ( c2_1 @ a705 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl545,plain,
    ( ( c2_1 @ a705 )
   <= ( c2_1 @ a705 ) ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl15,plain,
    ! [X3: $i,X4: $i] :
      ( ( c3_1 @ X3 )
      | ~ ( c0_1 @ X3 )
      | ~ ( c1_1 @ X3 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X4 )
      | ~ ( c2_1 @ X4 )
      | ~ ( c3_1 @ X4 )
      | ~ ndr1_0
      | hskp2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl256,plain,
    ( ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 )
        | ~ ( c3_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 )
        | ~ ( c3_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl1449,plain,
    ( ( ~ ( c0_1 @ a705 )
      | ~ ( c3_1 @ a705 ) )
   <= ( ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c2_1 @ X4 )
          | ~ ( c3_1 @ X4 ) )
      & ( c2_1 @ a705 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl545,zip_derived_cl256]) ).

thf('11',plain,
    ( ~ ( c3_1 @ a705 )
    | ~ ( c0_1 @ a705 )
    | ~ ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c2_1 @ X4 )
          | ~ ( c3_1 @ X4 ) )
    | ~ ( c2_1 @ a705 ) ),
    inference(split,[status(esa)],[zip_derived_cl1449]) ).

thf(zip_derived_cl76,plain,
    ! [X109: $i,X110: $i] :
      ( ( c0_1 @ X109 )
      | ( c1_1 @ X109 )
      | ( c3_1 @ X109 )
      | ~ ndr1_0
      | ( c0_1 @ X110 )
      | ( c2_1 @ X110 )
      | ( c3_1 @ X110 )
      | ~ ndr1_0
      | hskp29 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('12',plain,
    ( hskp29
    | ! [X78: $i] :
        ( ( c0_1 @ X78 )
        | ( c2_1 @ X78 )
        | ( c3_1 @ X78 ) )
    | ~ ndr1_0
    | ! [X104: $i] :
        ( ( c0_1 @ X104 )
        | ( c1_1 @ X104 )
        | ( c3_1 @ X104 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl76]) ).

thf(zip_derived_cl711_001,plain,
    ( ~ ( c2_1 @ a717 )
   <= ~ ( c2_1 @ a717 ) ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl16,plain,
    ! [X5: $i] :
      ( ( c2_1 @ X5 )
      | ~ ( c0_1 @ X5 )
      | ~ ( c1_1 @ X5 )
      | ~ ndr1_0
      | hskp19
      | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl260,plain,
    ( ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl899,plain,
    ( ( ~ ( c0_1 @ a717 )
      | ~ ( c1_1 @ a717 ) )
   <= ( ~ ( c2_1 @ a717 )
      & ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c1_1 @ X5 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl711,zip_derived_cl260]) ).

thf('13',plain,
    ( ~ ( c1_1 @ a717 )
    | ~ ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c1_1 @ X5 ) )
    | ~ ( c0_1 @ a717 )
    | ( c2_1 @ a717 ) ),
    inference(split,[status(esa)],[zip_derived_cl899]) ).

thf(zip_derived_cl61,plain,
    ! [X75: $i,X76: $i,X77: $i] :
      ( ( c0_1 @ X75 )
      | ( c2_1 @ X75 )
      | ~ ( c1_1 @ X75 )
      | ~ ndr1_0
      | ( c1_1 @ X76 )
      | ( c2_1 @ X76 )
      | ~ ( c0_1 @ X76 )
      | ~ ndr1_0
      | ( c1_1 @ X77 )
      | ( c2_1 @ X77 )
      | ~ ( c3_1 @ X77 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('14',plain,
    ( ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ( c2_1 @ X28 )
        | ~ ( c3_1 @ X28 ) )
    | ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c2_1 @ X33 )
        | ~ ( c0_1 @ X33 ) )
    | ~ ndr1_0
    | ! [X64: $i] :
        ( ( c0_1 @ X64 )
        | ( c2_1 @ X64 )
        | ~ ( c1_1 @ X64 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(zip_derived_cl106,plain,
    ( ~ hskp25
    | ( c2_1 @ a764 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl567,plain,
    ( ( c2_1 @ a764 )
   <= ( c2_1 @ a764 ) ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(zip_derived_cl256_002,plain,
    ( ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 )
        | ~ ( c3_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 )
        | ~ ( c3_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl1512,plain,
    ( ( ~ ( c0_1 @ a764 )
      | ~ ( c3_1 @ a764 ) )
   <= ( ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c2_1 @ X4 )
          | ~ ( c3_1 @ X4 ) )
      & ( c2_1 @ a764 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl567,zip_derived_cl256]) ).

thf(zip_derived_cl2120,plain,
    ( ~ ( c3_1 @ a764 )
   <= ~ ( c3_1 @ a764 ) ),
    inference(split,[status(esa)],[zip_derived_cl1512]) ).

thf(zip_derived_cl31,plain,
    ! [X26: $i,X27: $i] :
      ( ( c1_1 @ X26 )
      | ( c3_1 @ X26 )
      | ~ ( c0_1 @ X26 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X27 )
      | ~ ( c2_1 @ X27 )
      | ~ ( c3_1 @ X27 )
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl321,plain,
    ( ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ( c3_1 @ X26 )
        | ~ ( c0_1 @ X26 ) )
   <= ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ( c3_1 @ X26 )
        | ~ ( c0_1 @ X26 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl31]) ).

thf(zip_derived_cl2123,plain,
    ( ( ( c1_1 @ a764 )
      | ~ ( c0_1 @ a764 ) )
   <= ( ~ ( c3_1 @ a764 )
      & ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ( c3_1 @ X26 )
          | ~ ( c0_1 @ X26 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2120,zip_derived_cl321]) ).

thf('15',plain,
    ( ~ ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ( c3_1 @ X26 )
          | ~ ( c0_1 @ X26 ) )
    | ( c3_1 @ a764 )
    | ( c1_1 @ a764 )
    | ~ ( c0_1 @ a764 ) ),
    inference(split,[status(esa)],[zip_derived_cl2123]) ).

thf(zip_derived_cl28,plain,
    ! [X21: $i,X22: $i] :
      ( ( c1_1 @ X21 )
      | ~ ( c0_1 @ X21 )
      | ~ ( c3_1 @ X21 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X22 )
      | ~ ( c2_1 @ X22 )
      | ~ ( c3_1 @ X22 )
      | ~ ndr1_0
      | hskp25 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('16',plain,
    ( hskp25
    | ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 )
        | ~ ( c3_1 @ X4 ) )
    | ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c3_1 @ X19 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl39,plain,
    ! [X38: $i,X39: $i,X40: $i] :
      ( ( c1_1 @ X38 )
      | ( c2_1 @ X38 )
      | ( c3_1 @ X38 )
      | ~ ndr1_0
      | ( c1_1 @ X39 )
      | ( c3_1 @ X39 )
      | ~ ( c0_1 @ X39 )
      | ~ ndr1_0
      | ( c2_1 @ X40 )
      | ( c3_1 @ X40 )
      | ~ ( c1_1 @ X40 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('17',plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c1_1 @ X12 ) )
    | ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ( c3_1 @ X26 )
        | ~ ( c0_1 @ X26 ) )
    | ~ ndr1_0
    | ! [X36: $i] :
        ( ( c1_1 @ X36 )
        | ( c2_1 @ X36 )
        | ( c3_1 @ X36 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl21,plain,
    ! [X12: $i] :
      ( ( c2_1 @ X12 )
      | ( c3_1 @ X12 )
      | ~ ( c1_1 @ X12 )
      | ~ ndr1_0
      | hskp29
      | hskp13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl280,plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c1_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c1_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl203,plain,
    ( ~ hskp1
    | ~ ( c2_1 @ a707 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl761,plain,
    ( ~ ( c2_1 @ a707 )
   <= ~ ( c2_1 @ a707 ) ),
    inference(split,[status(esa)],[zip_derived_cl203]) ).

thf(zip_derived_cl979,plain,
    ( ( ~ ( c1_1 @ a707 )
      | ( c3_1 @ a707 ) )
   <= ( ~ ( c2_1 @ a707 )
      & ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c3_1 @ X12 )
          | ~ ( c1_1 @ X12 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl280,zip_derived_cl761]) ).

thf(zip_derived_cl1012,plain,
    ( ( c3_1 @ a707 )
   <= ( c3_1 @ a707 ) ),
    inference(split,[status(esa)],[zip_derived_cl979]) ).

thf(zip_derived_cl26,plain,
    ! [X19: $i] :
      ( ( c1_1 @ X19 )
      | ~ ( c0_1 @ X19 )
      | ~ ( c3_1 @ X19 )
      | ~ ndr1_0
      | hskp0
      | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl300,plain,
    ( ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c3_1 @ X19 ) )
   <= ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c3_1 @ X19 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl1121,plain,
    ( ( ( c1_1 @ a707 )
      | ~ ( c0_1 @ a707 ) )
   <= ( ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c0_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
      & ( c3_1 @ a707 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1012,zip_derived_cl300]) ).

thf('18',plain,
    ( ~ ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c0_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
    | ~ ( c3_1 @ a707 )
    | ( c1_1 @ a707 )
    | ~ ( c0_1 @ a707 ) ),
    inference(split,[status(esa)],[zip_derived_cl1121]) ).

thf(zip_derived_cl32,plain,
    ! [X28: $i] :
      ( ( c1_1 @ X28 )
      | ( c2_1 @ X28 )
      | ~ ( c3_1 @ X28 )
      | ~ ndr1_0
      | hskp14
      | hskp17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl324,plain,
    ( ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ( c2_1 @ X28 )
        | ~ ( c3_1 @ X28 ) )
   <= ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ( c2_1 @ X28 )
        | ~ ( c3_1 @ X28 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl761_003,plain,
    ( ~ ( c2_1 @ a707 )
   <= ~ ( c2_1 @ a707 ) ),
    inference(split,[status(esa)],[zip_derived_cl203]) ).

thf(zip_derived_cl1258,plain,
    ( ( ~ ( c3_1 @ a707 )
      | ( c1_1 @ a707 ) )
   <= ( ~ ( c2_1 @ a707 )
      & ! [X28: $i] :
          ( ( c1_1 @ X28 )
          | ( c2_1 @ X28 )
          | ~ ( c3_1 @ X28 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl324,zip_derived_cl761]) ).

thf(zip_derived_cl1297,plain,
    ( ~ ( c3_1 @ a707 )
   <= ~ ( c3_1 @ a707 ) ),
    inference(split,[status(esa)],[zip_derived_cl1258]) ).

thf(zip_derived_cl321_004,plain,
    ( ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ( c3_1 @ X26 )
        | ~ ( c0_1 @ X26 ) )
   <= ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ( c3_1 @ X26 )
        | ~ ( c0_1 @ X26 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl31]) ).

thf(zip_derived_cl1300,plain,
    ( ( ( c1_1 @ a707 )
      | ~ ( c0_1 @ a707 ) )
   <= ( ~ ( c3_1 @ a707 )
      & ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ( c3_1 @ X26 )
          | ~ ( c0_1 @ X26 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1297,zip_derived_cl321]) ).

thf('19',plain,
    ( ~ ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ( c3_1 @ X26 )
          | ~ ( c0_1 @ X26 ) )
    | ( c3_1 @ a707 )
    | ~ ( c0_1 @ a707 )
    | ( c1_1 @ a707 ) ),
    inference(split,[status(esa)],[zip_derived_cl1300]) ).

thf(zip_derived_cl122,plain,
    ( ~ hskp21
    | ( c3_1 @ a748 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl599,plain,
    ( ( c3_1 @ a748 )
   <= ( c3_1 @ a748 ) ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl367,plain,
    ( ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c1_1 @ X47 )
        | ~ ( c3_1 @ X47 ) )
   <= ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c1_1 @ X47 )
        | ~ ( c3_1 @ X47 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl1694,plain,
    ( ( ( c0_1 @ a748 )
      | ~ ( c1_1 @ a748 ) )
   <= ( ! [X47: $i] :
          ( ( c0_1 @ X47 )
          | ~ ( c1_1 @ X47 )
          | ~ ( c3_1 @ X47 ) )
      & ( c3_1 @ a748 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl599,zip_derived_cl367]) ).

thf('20',plain,
    ( ~ ! [X47: $i] :
          ( ( c0_1 @ X47 )
          | ~ ( c1_1 @ X47 )
          | ~ ( c3_1 @ X47 ) )
    | ~ ( c1_1 @ a748 )
    | ( c0_1 @ a748 )
    | ~ ( c3_1 @ a748 ) ),
    inference(split,[status(esa)],[zip_derived_cl1694]) ).

thf('21',plain,
    ( ( c2_1 @ a748 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf('22',plain,
    ( ( c3_1 @ a748 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl123,plain,
    ( ~ hskp21
    | ~ ( c0_1 @ a748 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('23',plain,
    ( ~ hskp21
    | ~ ( c0_1 @ a748 ) ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl597_005,plain,
    ( ( c2_1 @ a748 )
   <= ( c2_1 @ a748 ) ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl471,plain,
    ( ! [X92: $i] :
        ( ( c0_1 @ X92 )
        | ( c1_1 @ X92 )
        | ~ ( c2_1 @ X92 ) )
   <= ! [X92: $i] :
        ( ( c0_1 @ X92 )
        | ( c1_1 @ X92 )
        | ~ ( c2_1 @ X92 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl69]) ).

thf(zip_derived_cl2099,plain,
    ( ( ( c0_1 @ a748 )
      | ( c1_1 @ a748 ) )
   <= ( ! [X92: $i] :
          ( ( c0_1 @ X92 )
          | ( c1_1 @ X92 )
          | ~ ( c2_1 @ X92 ) )
      & ( c2_1 @ a748 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl597,zip_derived_cl471]) ).

thf('24',plain,
    ( ( c0_1 @ a748 )
    | ~ ( c2_1 @ a748 )
    | ~ ! [X92: $i] :
          ( ( c0_1 @ X92 )
          | ( c1_1 @ X92 )
          | ~ ( c2_1 @ X92 ) )
    | ( c1_1 @ a748 ) ),
    inference(split,[status(esa)],[zip_derived_cl2099]) ).

thf(zip_derived_cl348_006,plain,
    ( ! [X36: $i] :
        ( ( c1_1 @ X36 )
        | ( c2_1 @ X36 )
        | ( c3_1 @ X36 ) )
   <= ! [X36: $i] :
        ( ( c1_1 @ X36 )
        | ( c2_1 @ X36 )
        | ( c3_1 @ X36 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl761_007,plain,
    ( ~ ( c2_1 @ a707 )
   <= ~ ( c2_1 @ a707 ) ),
    inference(split,[status(esa)],[zip_derived_cl203]) ).

thf(zip_derived_cl1481,plain,
    ( ( ( c3_1 @ a707 )
      | ( c1_1 @ a707 ) )
   <= ( ~ ( c2_1 @ a707 )
      & ! [X36: $i] :
          ( ( c1_1 @ X36 )
          | ( c2_1 @ X36 )
          | ( c3_1 @ X36 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl348,zip_derived_cl761]) ).

thf('25',plain,
    ( ~ ! [X36: $i] :
          ( ( c1_1 @ X36 )
          | ( c2_1 @ X36 )
          | ( c3_1 @ X36 ) )
    | ( c3_1 @ a707 )
    | ( c1_1 @ a707 )
    | ( c2_1 @ a707 ) ),
    inference(split,[status(esa)],[zip_derived_cl1481]) ).

thf(zip_derived_cl90,plain,
    ( ~ hskp29
    | ( c2_1 @ a709 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl535,plain,
    ( ( c2_1 @ a709 )
   <= ( c2_1 @ a709 ) ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl41,plain,
    ! [X42: $i,X43: $i,X44: $i] :
      ( ( c0_1 @ X42 )
      | ~ ( c2_1 @ X42 )
      | ~ ( c3_1 @ X42 )
      | ~ ndr1_0
      | ( c3_1 @ X43 )
      | ~ ( c0_1 @ X43 )
      | ~ ( c2_1 @ X43 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X44 )
      | ~ ( c1_1 @ X44 )
      | ~ ( c2_1 @ X44 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl359,plain,
    ( ! [X44: $i] :
        ( ~ ( c0_1 @ X44 )
        | ~ ( c1_1 @ X44 )
        | ~ ( c2_1 @ X44 ) )
   <= ! [X44: $i] :
        ( ~ ( c0_1 @ X44 )
        | ~ ( c1_1 @ X44 )
        | ~ ( c2_1 @ X44 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl1439,plain,
    ( ( ~ ( c0_1 @ a709 )
      | ~ ( c1_1 @ a709 ) )
   <= ( ! [X44: $i] :
          ( ~ ( c0_1 @ X44 )
          | ~ ( c1_1 @ X44 )
          | ~ ( c2_1 @ X44 ) )
      & ( c2_1 @ a709 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl535,zip_derived_cl359]) ).

thf('26',plain,
    ( ~ ! [X44: $i] :
          ( ~ ( c0_1 @ X44 )
          | ~ ( c1_1 @ X44 )
          | ~ ( c2_1 @ X44 ) )
    | ~ ( c0_1 @ a709 )
    | ~ ( c1_1 @ a709 )
    | ~ ( c2_1 @ a709 ) ),
    inference(split,[status(esa)],[zip_derived_cl1439]) ).

thf(zip_derived_cl68,plain,
    ! [X89: $i,X90: $i,X91: $i] :
      ( ( c0_1 @ X89 )
      | ( c1_1 @ X89 )
      | ~ ( c3_1 @ X89 )
      | ~ ndr1_0
      | ( c0_1 @ X90 )
      | ( c2_1 @ X90 )
      | ( c3_1 @ X90 )
      | ~ ndr1_0
      | ( c3_1 @ X91 )
      | ~ ( c0_1 @ X91 )
      | ~ ( c2_1 @ X91 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('27',plain,
    ( ! [X78: $i] :
        ( ( c0_1 @ X78 )
        | ( c2_1 @ X78 )
        | ( c3_1 @ X78 ) )
    | ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 ) )
    | ~ ndr1_0
    | ! [X82: $i] :
        ( ( c0_1 @ X82 )
        | ( c1_1 @ X82 )
        | ~ ( c3_1 @ X82 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl68]) ).

thf(zip_derived_cl62,plain,
    ! [X78: $i] :
      ( ( c0_1 @ X78 )
      | ( c2_1 @ X78 )
      | ( c3_1 @ X78 )
      | ~ ndr1_0
      | hskp9
      | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl443,plain,
    ( ! [X78: $i] :
        ( ( c0_1 @ X78 )
        | ( c2_1 @ X78 )
        | ( c3_1 @ X78 ) )
   <= ! [X78: $i] :
        ( ( c0_1 @ X78 )
        | ( c2_1 @ X78 )
        | ( c3_1 @ X78 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf(zip_derived_cl175,plain,
    ( ~ hskp8
    | ~ ( c2_1 @ a718 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl705,plain,
    ( ~ ( c2_1 @ a718 )
   <= ~ ( c2_1 @ a718 ) ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl2269,plain,
    ( ( ( c3_1 @ a718 )
      | ( c0_1 @ a718 ) )
   <= ( ~ ( c2_1 @ a718 )
      & ! [X78: $i] :
          ( ( c0_1 @ X78 )
          | ( c2_1 @ X78 )
          | ( c3_1 @ X78 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl443,zip_derived_cl705]) ).

thf('28',plain,
    ( ( c3_1 @ a718 )
    | ~ ! [X78: $i] :
          ( ( c0_1 @ X78 )
          | ( c2_1 @ X78 )
          | ( c3_1 @ X78 ) )
    | ( c2_1 @ a718 )
    | ( c0_1 @ a718 ) ),
    inference(split,[status(esa)],[zip_derived_cl2269]) ).

thf(zip_derived_cl22,plain,
    ! [X13: $i] :
      ( ( c2_1 @ X13 )
      | ( c3_1 @ X13 )
      | ~ ( c1_1 @ X13 )
      | ~ ndr1_0
      | hskp26
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('29',plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c1_1 @ X12 ) )
    | hskp11
    | hskp26
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl52,plain,
    ! [X60: $i,X61: $i] :
      ( ( c0_1 @ X60 )
      | ( c3_1 @ X60 )
      | ~ ( c1_1 @ X60 )
      | ~ ndr1_0
      | ( c2_1 @ X61 )
      | ~ ( c0_1 @ X61 )
      | ~ ( c3_1 @ X61 )
      | ~ ndr1_0
      | hskp16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl403,plain,
    ( ! [X61: $i] :
        ( ( c2_1 @ X61 )
        | ~ ( c0_1 @ X61 )
        | ~ ( c3_1 @ X61 ) )
   <= ! [X61: $i] :
        ( ( c2_1 @ X61 )
        | ~ ( c0_1 @ X61 )
        | ~ ( c3_1 @ X61 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl115,plain,
    ( ~ hskp23
    | ~ ( c2_1 @ a757 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl585,plain,
    ( ~ ( c2_1 @ a757 )
   <= ~ ( c2_1 @ a757 ) ),
    inference(split,[status(esa)],[zip_derived_cl115]) ).

thf(zip_derived_cl1833,plain,
    ( ( ~ ( c3_1 @ a757 )
      | ~ ( c0_1 @ a757 ) )
   <= ( ~ ( c2_1 @ a757 )
      & ! [X61: $i] :
          ( ( c2_1 @ X61 )
          | ~ ( c0_1 @ X61 )
          | ~ ( c3_1 @ X61 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl403,zip_derived_cl585]) ).

thf(zip_derived_cl2765,plain,
    ( ~ ( c3_1 @ a757 )
   <= ~ ( c3_1 @ a757 ) ),
    inference(split,[status(esa)],[zip_derived_cl1833]) ).

thf(zip_derived_cl14,plain,
    ! [X2: $i] :
      ( ( c3_1 @ X2 )
      | ~ ( c0_1 @ X2 )
      | ~ ( c1_1 @ X2 )
      | ~ ndr1_0
      | hskp7
      | hskp27 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl252,plain,
    ( ! [X2: $i] :
        ( ( c3_1 @ X2 )
        | ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ( c3_1 @ X2 )
        | ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl2769,plain,
    ( ( ~ ( c0_1 @ a757 )
      | ~ ( c1_1 @ a757 ) )
   <= ( ~ ( c3_1 @ a757 )
      & ! [X2: $i] :
          ( ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2765,zip_derived_cl252]) ).

thf('30',plain,
    ( ( c3_1 @ a757 )
    | ~ ( c0_1 @ a757 )
    | ~ ! [X2: $i] :
          ( ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 ) )
    | ~ ( c1_1 @ a757 ) ),
    inference(split,[status(esa)],[zip_derived_cl2769]) ).

thf(zip_derived_cl280_008,plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c1_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c1_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl155,plain,
    ( ~ hskp13
    | ~ ( c2_1 @ a727 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl665,plain,
    ( ~ ( c2_1 @ a727 )
   <= ~ ( c2_1 @ a727 ) ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf(zip_derived_cl985,plain,
    ( ( ~ ( c1_1 @ a727 )
      | ( c3_1 @ a727 ) )
   <= ( ~ ( c2_1 @ a727 )
      & ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c3_1 @ X12 )
          | ~ ( c1_1 @ X12 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl280,zip_derived_cl665]) ).

thf(zip_derived_cl1028,plain,
    ( ( c3_1 @ a727 )
   <= ( c3_1 @ a727 ) ),
    inference(split,[status(esa)],[zip_derived_cl985]) ).

thf(zip_derived_cl451,plain,
    ( ! [X82: $i] :
        ( ( c0_1 @ X82 )
        | ( c1_1 @ X82 )
        | ~ ( c3_1 @ X82 ) )
   <= ! [X82: $i] :
        ( ( c0_1 @ X82 )
        | ( c1_1 @ X82 )
        | ~ ( c3_1 @ X82 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl64]) ).

thf(zip_derived_cl1976,plain,
    ( ( ( c0_1 @ a727 )
      | ( c1_1 @ a727 ) )
   <= ( ! [X82: $i] :
          ( ( c0_1 @ X82 )
          | ( c1_1 @ X82 )
          | ~ ( c3_1 @ X82 ) )
      & ( c3_1 @ a727 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1028,zip_derived_cl451]) ).

thf('31',plain,
    ( ~ ! [X82: $i] :
          ( ( c0_1 @ X82 )
          | ( c1_1 @ X82 )
          | ~ ( c3_1 @ X82 ) )
    | ( c1_1 @ a727 )
    | ( c0_1 @ a727 )
    | ~ ( c3_1 @ a727 ) ),
    inference(split,[status(esa)],[zip_derived_cl1976]) ).

thf('32',plain,
    ( hskp19
    | hskp8
    | ~ ndr1_0
    | ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl65,plain,
    ! [X83: $i,X84: $i] :
      ( ( c0_1 @ X83 )
      | ( c1_1 @ X83 )
      | ~ ( c3_1 @ X83 )
      | ~ ndr1_0
      | ( c2_1 @ X84 )
      | ~ ( c1_1 @ X84 )
      | ~ ( c3_1 @ X84 )
      | ~ ndr1_0
      | hskp6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl455,plain,
    ( ! [X84: $i] :
        ( ( c2_1 @ X84 )
        | ~ ( c1_1 @ X84 )
        | ~ ( c3_1 @ X84 ) )
   <= ! [X84: $i] :
        ( ( c2_1 @ X84 )
        | ~ ( c1_1 @ X84 )
        | ~ ( c3_1 @ X84 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl65]) ).

thf(zip_derived_cl585_009,plain,
    ( ~ ( c2_1 @ a757 )
   <= ~ ( c2_1 @ a757 ) ),
    inference(split,[status(esa)],[zip_derived_cl115]) ).

thf(zip_derived_cl1938,plain,
    ( ( ~ ( c3_1 @ a757 )
      | ~ ( c1_1 @ a757 ) )
   <= ( ~ ( c2_1 @ a757 )
      & ! [X84: $i] :
          ( ( c2_1 @ X84 )
          | ~ ( c1_1 @ X84 )
          | ~ ( c3_1 @ X84 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl455,zip_derived_cl585]) ).

thf('33',plain,
    ( ~ ! [X84: $i] :
          ( ( c2_1 @ X84 )
          | ~ ( c1_1 @ X84 )
          | ~ ( c3_1 @ X84 ) )
    | ~ ( c3_1 @ a757 )
    | ( c2_1 @ a757 )
    | ~ ( c1_1 @ a757 ) ),
    inference(split,[status(esa)],[zip_derived_cl1938]) ).

thf(zip_derived_cl101,plain,
    ( ~ hskp26
    | ( c0_1 @ a773 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('34',plain,
    ( ( c0_1 @ a773 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf(zip_derived_cl102,plain,
    ( ~ hskp26
    | ( c1_1 @ a773 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('35',plain,
    ( ( c1_1 @ a773 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl102]) ).

thf(zip_derived_cl103,plain,
    ( ~ hskp26
    | ~ ( c3_1 @ a773 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('36',plain,
    ( ~ hskp26
    | ~ ( c3_1 @ a773 ) ),
    inference(split,[status(esa)],[zip_derived_cl103]) ).

thf(zip_derived_cl561,plain,
    ( ~ ( c3_1 @ a773 )
   <= ~ ( c3_1 @ a773 ) ),
    inference(split,[status(esa)],[zip_derived_cl103]) ).

thf(zip_derived_cl252_010,plain,
    ( ! [X2: $i] :
        ( ( c3_1 @ X2 )
        | ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ( c3_1 @ X2 )
        | ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl829,plain,
    ( ( ~ ( c0_1 @ a773 )
      | ~ ( c1_1 @ a773 ) )
   <= ( ~ ( c3_1 @ a773 )
      & ! [X2: $i] :
          ( ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl561,zip_derived_cl252]) ).

thf('37',plain,
    ( ( c3_1 @ a773 )
    | ~ ( c1_1 @ a773 )
    | ~ ! [X2: $i] :
          ( ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 ) )
    | ~ ( c0_1 @ a773 ) ),
    inference(split,[status(esa)],[zip_derived_cl829]) ).

thf(zip_derived_cl130,plain,
    ( ~ hskp19
    | ( c3_1 @ a741 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('38',plain,
    ( ( c3_1 @ a741 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(zip_derived_cl129,plain,
    ( ~ hskp19
    | ( c1_1 @ a741 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('39',plain,
    ( ( c1_1 @ a741 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf(zip_derived_cl131,plain,
    ( ~ hskp19
    | ~ ( c0_1 @ a741 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('40',plain,
    ( ~ ( c0_1 @ a741 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf(zip_derived_cl615,plain,
    ( ( c3_1 @ a741 )
   <= ( c3_1 @ a741 ) ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(zip_derived_cl367_011,plain,
    ( ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c1_1 @ X47 )
        | ~ ( c3_1 @ X47 ) )
   <= ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c1_1 @ X47 )
        | ~ ( c3_1 @ X47 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl1692,plain,
    ( ( ( c0_1 @ a741 )
      | ~ ( c1_1 @ a741 ) )
   <= ( ! [X47: $i] :
          ( ( c0_1 @ X47 )
          | ~ ( c1_1 @ X47 )
          | ~ ( c3_1 @ X47 ) )
      & ( c3_1 @ a741 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl615,zip_derived_cl367]) ).

thf('41',plain,
    ( ~ ! [X47: $i] :
          ( ( c0_1 @ X47 )
          | ~ ( c1_1 @ X47 )
          | ~ ( c3_1 @ X47 ) )
    | ~ ( c1_1 @ a741 )
    | ( c0_1 @ a741 )
    | ~ ( c3_1 @ a741 ) ),
    inference(split,[status(esa)],[zip_derived_cl1692]) ).

thf(zip_derived_cl25,plain,
    ! [X17: $i,X18: $i] :
      ( ( c1_1 @ X17 )
      | ~ ( c2_1 @ X17 )
      | ~ ( c3_1 @ X17 )
      | ~ ndr1_0
      | ( c2_1 @ X18 )
      | ~ ( c0_1 @ X18 )
      | ~ ( c1_1 @ X18 )
      | ~ ndr1_0
      | hskp14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('42',plain,
    ( hskp14
    | ! [X16: $i] :
        ( ( c1_1 @ X16 )
        | ~ ( c2_1 @ X16 )
        | ~ ( c3_1 @ X16 ) )
    | ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl82,plain,
    ( ~ hskp31
    | ( c1_1 @ a723 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl519,plain,
    ( ( c1_1 @ a723 )
   <= ( c1_1 @ a723 ) ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl260_012,plain,
    ( ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl359_013,plain,
    ( ! [X44: $i] :
        ( ~ ( c0_1 @ X44 )
        | ~ ( c1_1 @ X44 )
        | ~ ( c2_1 @ X44 ) )
   <= ! [X44: $i] :
        ( ~ ( c0_1 @ X44 )
        | ~ ( c1_1 @ X44 )
        | ~ ( c2_1 @ X44 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl1067,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c1_1 @ X5 ) )
      & ! [X44: $i] :
          ( ~ ( c0_1 @ X44 )
          | ~ ( c1_1 @ X44 )
          | ~ ( c2_1 @ X44 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl260,zip_derived_cl359]) ).

thf(zip_derived_cl1070,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c1_1 @ X5 ) )
      & ! [X44: $i] :
          ( ~ ( c0_1 @ X44 )
          | ~ ( c1_1 @ X44 )
          | ~ ( c2_1 @ X44 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1067]) ).

thf(zip_derived_cl1411,plain,
    ( ~ ( c0_1 @ a723 )
   <= ( ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c1_1 @ X5 ) )
      & ! [X44: $i] :
          ( ~ ( c0_1 @ X44 )
          | ~ ( c1_1 @ X44 )
          | ~ ( c2_1 @ X44 ) )
      & ( c1_1 @ a723 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl519,zip_derived_cl1070]) ).

thf(zip_derived_cl81,plain,
    ( ~ hskp31
    | ( c0_1 @ a723 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl517,plain,
    ( ( c0_1 @ a723 )
   <= ( c0_1 @ a723 ) ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf('43',plain,
    ( ~ ! [X44: $i] :
          ( ~ ( c0_1 @ X44 )
          | ~ ( c1_1 @ X44 )
          | ~ ( c2_1 @ X44 ) )
    | ~ ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c1_1 @ X5 ) )
    | ~ ( c0_1 @ a723 )
    | ~ ( c1_1 @ a723 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1411,zip_derived_cl517]) ).

thf(zip_derived_cl57,plain,
    ! [X66: $i,X67: $i] :
      ( ( c0_1 @ X66 )
      | ( c2_1 @ X66 )
      | ~ ( c1_1 @ X66 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X67 )
      | ~ ( c1_1 @ X67 )
      | ~ ( c3_1 @ X67 )
      | ~ ndr1_0
      | hskp31 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('44',plain,
    ( hskp31
    | ! [X64: $i] :
        ( ( c0_1 @ X64 )
        | ( c2_1 @ X64 )
        | ~ ( c1_1 @ X64 ) )
    | ! [X52: $i] :
        ( ~ ( c0_1 @ X52 )
        | ~ ( c1_1 @ X52 )
        | ~ ( c3_1 @ X52 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf(zip_derived_cl280_014,plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c1_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c1_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl207,plain,
    ( ~ hskp0
    | ~ ( c2_1 @ a706 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl769,plain,
    ( ~ ( c2_1 @ a706 )
   <= ~ ( c2_1 @ a706 ) ),
    inference(split,[status(esa)],[zip_derived_cl207]) ).

thf(zip_derived_cl978,plain,
    ( ( ~ ( c1_1 @ a706 )
      | ( c3_1 @ a706 ) )
   <= ( ~ ( c2_1 @ a706 )
      & ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c3_1 @ X12 )
          | ~ ( c1_1 @ X12 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl280,zip_derived_cl769]) ).

thf(zip_derived_cl1010,plain,
    ( ( c3_1 @ a706 )
   <= ( c3_1 @ a706 ) ),
    inference(split,[status(esa)],[zip_derived_cl978]) ).

thf(zip_derived_cl451_015,plain,
    ( ! [X82: $i] :
        ( ( c0_1 @ X82 )
        | ( c1_1 @ X82 )
        | ~ ( c3_1 @ X82 ) )
   <= ! [X82: $i] :
        ( ( c0_1 @ X82 )
        | ( c1_1 @ X82 )
        | ~ ( c3_1 @ X82 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl64]) ).

thf(zip_derived_cl1968,plain,
    ( ( ( c0_1 @ a706 )
      | ( c1_1 @ a706 ) )
   <= ( ! [X82: $i] :
          ( ( c0_1 @ X82 )
          | ( c1_1 @ X82 )
          | ~ ( c3_1 @ X82 ) )
      & ( c3_1 @ a706 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1010,zip_derived_cl451]) ).

thf('45',plain,
    ( ~ ! [X82: $i] :
          ( ( c0_1 @ X82 )
          | ( c1_1 @ X82 )
          | ~ ( c3_1 @ X82 ) )
    | ~ ( c3_1 @ a706 )
    | ( c0_1 @ a706 )
    | ( c1_1 @ a706 ) ),
    inference(split,[status(esa)],[zip_derived_cl1968]) ).

thf(zip_derived_cl443_016,plain,
    ( ! [X78: $i] :
        ( ( c0_1 @ X78 )
        | ( c2_1 @ X78 )
        | ( c3_1 @ X78 ) )
   <= ! [X78: $i] :
        ( ( c0_1 @ X78 )
        | ( c2_1 @ X78 )
        | ( c3_1 @ X78 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf(zip_derived_cl186,plain,
    ( ~ hskp5
    | ~ ( c2_1 @ a713 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl727,plain,
    ( ~ ( c2_1 @ a713 )
   <= ~ ( c2_1 @ a713 ) ),
    inference(split,[status(esa)],[zip_derived_cl186]) ).

thf(zip_derived_cl2267,plain,
    ( ( ( c3_1 @ a713 )
      | ( c0_1 @ a713 ) )
   <= ( ~ ( c2_1 @ a713 )
      & ! [X78: $i] :
          ( ( c0_1 @ X78 )
          | ( c2_1 @ X78 )
          | ( c3_1 @ X78 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl443,zip_derived_cl727]) ).

thf('46',plain,
    ( ( c0_1 @ a713 )
    | ( c2_1 @ a713 )
    | ~ ! [X78: $i] :
          ( ( c0_1 @ X78 )
          | ( c2_1 @ X78 )
          | ( c3_1 @ X78 ) )
    | ( c3_1 @ a713 ) ),
    inference(split,[status(esa)],[zip_derived_cl2267]) ).

thf(zip_derived_cl567_017,plain,
    ( ( c2_1 @ a764 )
   <= ( c2_1 @ a764 ) ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(zip_derived_cl13,plain,
    ! [X1: $i] :
      ( ( c3_1 @ X1 )
      | ~ ( c0_1 @ X1 )
      | ~ ( c2_1 @ X1 )
      | ~ ndr1_0
      | hskp31
      | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl248,plain,
    ( ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl1511,plain,
    ( ( ( c3_1 @ a764 )
      | ~ ( c0_1 @ a764 ) )
   <= ( ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 ) )
      & ( c2_1 @ a764 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl567,zip_derived_cl248]) ).

thf('47',plain,
    ( ( c3_1 @ a764 )
    | ~ ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 ) )
    | ~ ( c2_1 @ a764 )
    | ~ ( c0_1 @ a764 ) ),
    inference(split,[status(esa)],[zip_derived_cl1511]) ).

thf(zip_derived_cl567_018,plain,
    ( ( c2_1 @ a764 )
   <= ( c2_1 @ a764 ) ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(zip_derived_cl24,plain,
    ! [X16: $i] :
      ( ( c1_1 @ X16 )
      | ~ ( c2_1 @ X16 )
      | ~ ( c3_1 @ X16 )
      | ~ ndr1_0
      | hskp30
      | hskp22 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl292,plain,
    ( ! [X16: $i] :
        ( ( c1_1 @ X16 )
        | ~ ( c2_1 @ X16 )
        | ~ ( c3_1 @ X16 ) )
   <= ! [X16: $i] :
        ( ( c1_1 @ X16 )
        | ~ ( c2_1 @ X16 )
        | ~ ( c3_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl1513,plain,
    ( ( ( c1_1 @ a764 )
      | ~ ( c3_1 @ a764 ) )
   <= ( ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ~ ( c2_1 @ X16 )
          | ~ ( c3_1 @ X16 ) )
      & ( c2_1 @ a764 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl567,zip_derived_cl292]) ).

thf('48',plain,
    ( ~ ( c3_1 @ a764 )
    | ~ ( c2_1 @ a764 )
    | ~ ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ~ ( c2_1 @ X16 )
          | ~ ( c3_1 @ X16 ) )
    | ( c1_1 @ a764 ) ),
    inference(split,[status(esa)],[zip_derived_cl1513]) ).

thf(zip_derived_cl471_019,plain,
    ( ! [X92: $i] :
        ( ( c0_1 @ X92 )
        | ( c1_1 @ X92 )
        | ~ ( c2_1 @ X92 ) )
   <= ! [X92: $i] :
        ( ( c0_1 @ X92 )
        | ( c1_1 @ X92 )
        | ~ ( c2_1 @ X92 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl69]) ).

thf(zip_derived_cl443_020,plain,
    ( ! [X78: $i] :
        ( ( c0_1 @ X78 )
        | ( c2_1 @ X78 )
        | ( c3_1 @ X78 ) )
   <= ! [X78: $i] :
        ( ( c0_1 @ X78 )
        | ( c2_1 @ X78 )
        | ( c3_1 @ X78 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf(zip_derived_cl2277,plain,
    ( ! [X0: $i] :
        ( ( c1_1 @ X0 )
        | ( c0_1 @ X0 )
        | ( c0_1 @ X0 )
        | ( c3_1 @ X0 ) )
   <= ( ! [X78: $i] :
          ( ( c0_1 @ X78 )
          | ( c2_1 @ X78 )
          | ( c3_1 @ X78 ) )
      & ! [X92: $i] :
          ( ( c0_1 @ X92 )
          | ( c1_1 @ X92 )
          | ~ ( c2_1 @ X92 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl471,zip_derived_cl443]) ).

thf(zip_derived_cl2291,plain,
    ( ! [X0: $i] :
        ( ( c3_1 @ X0 )
        | ( c0_1 @ X0 )
        | ( c1_1 @ X0 ) )
   <= ( ! [X78: $i] :
          ( ( c0_1 @ X78 )
          | ( c2_1 @ X78 )
          | ( c3_1 @ X78 ) )
      & ! [X92: $i] :
          ( ( c0_1 @ X92 )
          | ( c1_1 @ X92 )
          | ~ ( c2_1 @ X92 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2277]) ).

thf(zip_derived_cl633_021,plain,
    ( ~ ( c3_1 @ a734 )
   <= ~ ( c3_1 @ a734 ) ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf(zip_derived_cl9115,plain,
    ( ( ( c1_1 @ a734 )
      | ( c0_1 @ a734 ) )
   <= ( ~ ( c3_1 @ a734 )
      & ! [X78: $i] :
          ( ( c0_1 @ X78 )
          | ( c2_1 @ X78 )
          | ( c3_1 @ X78 ) )
      & ! [X92: $i] :
          ( ( c0_1 @ X92 )
          | ( c1_1 @ X92 )
          | ~ ( c2_1 @ X92 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2291,zip_derived_cl633]) ).

thf('49',plain,
    ( ~ ! [X92: $i] :
          ( ( c0_1 @ X92 )
          | ( c1_1 @ X92 )
          | ~ ( c2_1 @ X92 ) )
    | ~ ! [X78: $i] :
          ( ( c0_1 @ X78 )
          | ( c2_1 @ X78 )
          | ( c3_1 @ X78 ) )
    | ( c1_1 @ a734 )
    | ( c0_1 @ a734 )
    | ( c3_1 @ a734 ) ),
    inference(split,[status(esa)],[zip_derived_cl9115]) ).

thf(zip_derived_cl56,plain,
    ! [X65: $i] :
      ( ( c0_1 @ X65 )
      | ( c2_1 @ X65 )
      | ~ ( c1_1 @ X65 )
      | ~ ndr1_0
      | hskp1
      | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('50',plain,
    ( hskp12
    | ! [X64: $i] :
        ( ( c0_1 @ X64 )
        | ( c2_1 @ X64 )
        | ~ ( c1_1 @ X64 ) )
    | hskp1
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl56]) ).

thf(zip_derived_cl170,plain,
    ( ~ hskp9
    | ( c2_1 @ a719 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl695,plain,
    ( ( c2_1 @ a719 )
   <= ( c2_1 @ a719 ) ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i] :
      ( ( c3_1 @ X0 )
      | ~ ( c1_1 @ X0 )
      | ~ ( c2_1 @ X0 )
      | ~ ndr1_0
      | hskp8
      | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl244,plain,
    ( ! [X0: $i] :
        ( ( c3_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ( c3_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl1630,plain,
    ( ( ( c3_1 @ a719 )
      | ~ ( c1_1 @ a719 ) )
   <= ( ! [X0: $i] :
          ( ( c3_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 ) )
      & ( c2_1 @ a719 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl695,zip_derived_cl244]) ).

thf('51',plain,
    ( ( c3_1 @ a719 )
    | ~ ( c1_1 @ a719 )
    | ~ ! [X0: $i] :
          ( ( c3_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 ) )
    | ~ ( c2_1 @ a719 ) ),
    inference(split,[status(esa)],[zip_derived_cl1630]) ).

thf(zip_derived_cl492_022,plain,
    ( ! [X104: $i] :
        ( ( c0_1 @ X104 )
        | ( c1_1 @ X104 )
        | ( c3_1 @ X104 ) )
   <= ! [X104: $i] :
        ( ( c0_1 @ X104 )
        | ( c1_1 @ X104 )
        | ( c3_1 @ X104 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl74]) ).

thf(zip_derived_cl324_023,plain,
    ( ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ( c2_1 @ X28 )
        | ~ ( c3_1 @ X28 ) )
   <= ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ( c2_1 @ X28 )
        | ~ ( c3_1 @ X28 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl769_024,plain,
    ( ~ ( c2_1 @ a706 )
   <= ~ ( c2_1 @ a706 ) ),
    inference(split,[status(esa)],[zip_derived_cl207]) ).

thf(zip_derived_cl1257,plain,
    ( ( ~ ( c3_1 @ a706 )
      | ( c1_1 @ a706 ) )
   <= ( ~ ( c2_1 @ a706 )
      & ! [X28: $i] :
          ( ( c1_1 @ X28 )
          | ( c2_1 @ X28 )
          | ~ ( c3_1 @ X28 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl324,zip_derived_cl769]) ).

thf(zip_derived_cl1285,plain,
    ( ~ ( c3_1 @ a706 )
   <= ~ ( c3_1 @ a706 ) ),
    inference(split,[status(esa)],[zip_derived_cl1257]) ).

thf(zip_derived_cl2305,plain,
    ( ( ( c1_1 @ a706 )
      | ( c0_1 @ a706 ) )
   <= ( ~ ( c3_1 @ a706 )
      & ! [X104: $i] :
          ( ( c0_1 @ X104 )
          | ( c1_1 @ X104 )
          | ( c3_1 @ X104 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl492,zip_derived_cl1285]) ).

thf('52',plain,
    ( ( c3_1 @ a706 )
    | ( c0_1 @ a706 )
    | ~ ! [X104: $i] :
          ( ( c0_1 @ X104 )
          | ( c1_1 @ X104 )
          | ( c3_1 @ X104 ) )
    | ( c1_1 @ a706 ) ),
    inference(split,[status(esa)],[zip_derived_cl2305]) ).

thf('53',plain,
    ( hskp0
    | hskp5
    | ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c3_1 @ X19 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl51,plain,
    ! [X59: $i] :
      ( ( c0_1 @ X59 )
      | ( c3_1 @ X59 )
      | ~ ( c1_1 @ X59 )
      | ~ ndr1_0
      | hskp15
      | hskp17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl399,plain,
    ( ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ( c3_1 @ X59 )
        | ~ ( c1_1 @ X59 ) )
   <= ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ( c3_1 @ X59 )
        | ~ ( c1_1 @ X59 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf(zip_derived_cl324_025,plain,
    ( ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ( c2_1 @ X28 )
        | ~ ( c3_1 @ X28 ) )
   <= ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ( c2_1 @ X28 )
        | ~ ( c3_1 @ X28 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl705_026,plain,
    ( ~ ( c2_1 @ a718 )
   <= ~ ( c2_1 @ a718 ) ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl1262,plain,
    ( ( ~ ( c3_1 @ a718 )
      | ( c1_1 @ a718 ) )
   <= ( ~ ( c2_1 @ a718 )
      & ! [X28: $i] :
          ( ( c1_1 @ X28 )
          | ( c2_1 @ X28 )
          | ~ ( c3_1 @ X28 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl324,zip_derived_cl705]) ).

thf(zip_derived_cl1338,plain,
    ( ~ ( c3_1 @ a718 )
   <= ~ ( c3_1 @ a718 ) ),
    inference(split,[status(esa)],[zip_derived_cl1262]) ).

thf(zip_derived_cl1887,plain,
    ( ( ~ ( c1_1 @ a718 )
      | ( c0_1 @ a718 ) )
   <= ( ~ ( c3_1 @ a718 )
      & ! [X59: $i] :
          ( ( c0_1 @ X59 )
          | ( c3_1 @ X59 )
          | ~ ( c1_1 @ X59 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl399,zip_derived_cl1338]) ).

thf('54',plain,
    ( ~ ! [X59: $i] :
          ( ( c0_1 @ X59 )
          | ( c3_1 @ X59 )
          | ~ ( c1_1 @ X59 ) )
    | ( c3_1 @ a718 )
    | ( c0_1 @ a718 )
    | ~ ( c1_1 @ a718 ) ),
    inference(split,[status(esa)],[zip_derived_cl1887]) ).

thf('55',plain,
    ( hskp2
    | ! [X2: $i] :
        ( ( c3_1 @ X2 )
        | ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 ) )
    | ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 )
        | ~ ( c3_1 @ X4 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl197,plain,
    ( ~ hskp2
    | ( c1_1 @ a708 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('56',plain,
    ( ( c1_1 @ a708 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl197]) ).

thf(zip_derived_cl198,plain,
    ( ~ hskp2
    | ~ ( c0_1 @ a708 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('57',plain,
    ( ~ ( c0_1 @ a708 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl198]) ).

thf(zip_derived_cl199,plain,
    ( ~ hskp2
    | ~ ( c3_1 @ a708 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('58',plain,
    ( ~ ( c3_1 @ a708 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl199]) ).

thf(zip_derived_cl399_027,plain,
    ( ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ( c3_1 @ X59 )
        | ~ ( c1_1 @ X59 ) )
   <= ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ( c3_1 @ X59 )
        | ~ ( c1_1 @ X59 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf(zip_derived_cl753,plain,
    ( ~ ( c3_1 @ a708 )
   <= ~ ( c3_1 @ a708 ) ),
    inference(split,[status(esa)],[zip_derived_cl199]) ).

thf(zip_derived_cl1881,plain,
    ( ( ~ ( c1_1 @ a708 )
      | ( c0_1 @ a708 ) )
   <= ( ~ ( c3_1 @ a708 )
      & ! [X59: $i] :
          ( ( c0_1 @ X59 )
          | ( c3_1 @ X59 )
          | ~ ( c1_1 @ X59 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl399,zip_derived_cl753]) ).

thf('59',plain,
    ( ~ ! [X59: $i] :
          ( ( c0_1 @ X59 )
          | ( c3_1 @ X59 )
          | ~ ( c1_1 @ X59 ) )
    | ( c0_1 @ a708 )
    | ( c3_1 @ a708 )
    | ~ ( c1_1 @ a708 ) ),
    inference(split,[status(esa)],[zip_derived_cl1881]) ).

thf(zip_derived_cl97,plain,
    ( ~ hskp27
    | ( c2_1 @ a780 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl549,plain,
    ( ( c2_1 @ a780 )
   <= ( c2_1 @ a780 ) ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(zip_derived_cl29,plain,
    ! [X23: $i] :
      ( ( c1_1 @ X23 )
      | ( c3_1 @ X23 )
      | ~ ( c2_1 @ X23 )
      | ~ ndr1_0
      | hskp24
      | hskp18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl312,plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ( c3_1 @ X23 )
        | ~ ( c2_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ( c3_1 @ X23 )
        | ~ ( c2_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl1460,plain,
    ( ( ( c1_1 @ a780 )
      | ( c3_1 @ a780 ) )
   <= ( ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ( c3_1 @ X23 )
          | ~ ( c2_1 @ X23 ) )
      & ( c2_1 @ a780 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl549,zip_derived_cl312]) ).

thf('60',plain,
    ( ( c1_1 @ a780 )
    | ~ ( c2_1 @ a780 )
    | ~ ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ( c3_1 @ X23 )
          | ~ ( c2_1 @ X23 ) )
    | ( c3_1 @ a780 ) ),
    inference(split,[status(esa)],[zip_derived_cl1460]) ).

thf('61',plain,
    ( ( c2_1 @ a780 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(zip_derived_cl98,plain,
    ( ~ hskp27
    | ~ ( c1_1 @ a780 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('62',plain,
    ( ~ hskp27
    | ~ ( c1_1 @ a780 ) ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf(zip_derived_cl99,plain,
    ( ~ hskp27
    | ~ ( c3_1 @ a780 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('63',plain,
    ( ~ hskp27
    | ~ ( c3_1 @ a780 ) ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf('64',plain,
    ( hskp7
    | hskp27
    | ! [X2: $i] :
        ( ( c3_1 @ X2 )
        | ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl23,plain,
    ! [X14: $i,X15: $i] :
      ( ( c2_1 @ X14 )
      | ( c3_1 @ X14 )
      | ~ ( c0_1 @ X14 )
      | ~ ndr1_0
      | ( c3_1 @ X15 )
      | ~ ( c0_1 @ X15 )
      | ~ ( c1_1 @ X15 )
      | ~ ndr1_0
      | hskp16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('65',plain,
    ( hskp16
    | ! [X2: $i] :
        ( ( c3_1 @ X2 )
        | ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 ) )
    | ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ( c3_1 @ X14 )
        | ~ ( c0_1 @ X14 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl0,plain,
    ( hskp18
    | hskp11
    | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('66',plain,
    ( hskp11
    | hskp5
    | hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf(zip_derived_cl75,plain,
    ! [X106: $i,X107: $i,X108: $i] :
      ( ( c0_1 @ X106 )
      | ( c1_1 @ X106 )
      | ( c3_1 @ X106 )
      | ~ ndr1_0
      | ( c0_1 @ X107 )
      | ~ ( c2_1 @ X107 )
      | ~ ( c3_1 @ X107 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X108 )
      | ~ ( c1_1 @ X108 )
      | ~ ( c3_1 @ X108 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('67',plain,
    ( ! [X41: $i] :
        ( ( c0_1 @ X41 )
        | ~ ( c2_1 @ X41 )
        | ~ ( c3_1 @ X41 ) )
    | ! [X104: $i] :
        ( ( c0_1 @ X104 )
        | ( c1_1 @ X104 )
        | ( c3_1 @ X104 ) )
    | ~ ndr1_0
    | ! [X52: $i] :
        ( ~ ( c0_1 @ X52 )
        | ~ ( c1_1 @ X52 )
        | ~ ( c3_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl75]) ).

thf(zip_derived_cl44,plain,
    ! [X48: $i] :
      ( ( c0_1 @ X48 )
      | ~ ( c1_1 @ X48 )
      | ~ ( c3_1 @ X48 )
      | ~ ndr1_0
      | hskp1
      | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('68',plain,
    ( hskp8
    | hskp1
    | ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c1_1 @ X47 )
        | ~ ( c3_1 @ X47 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl44]) ).

thf(zip_derived_cl58,plain,
    ! [X68: $i,X69: $i] :
      ( ( c0_1 @ X68 )
      | ( c2_1 @ X68 )
      | ~ ( c1_1 @ X68 )
      | ~ ndr1_0
      | ( c3_1 @ X69 )
      | ~ ( c0_1 @ X69 )
      | ~ ( c1_1 @ X69 )
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('69',plain,
    ( hskp28
    | ! [X2: $i] :
        ( ( c3_1 @ X2 )
        | ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 ) )
    | ! [X64: $i] :
        ( ( c0_1 @ X64 )
        | ( c2_1 @ X64 )
        | ~ ( c1_1 @ X64 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf(zip_derived_cl35,plain,
    ! [X33: $i] :
      ( ( c1_1 @ X33 )
      | ( c2_1 @ X33 )
      | ~ ( c0_1 @ X33 )
      | ~ ndr1_0
      | hskp16
      | hskp22 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl335,plain,
    ( ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c2_1 @ X33 )
        | ~ ( c0_1 @ X33 ) )
   <= ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c2_1 @ X33 )
        | ~ ( c0_1 @ X33 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl761_028,plain,
    ( ~ ( c2_1 @ a707 )
   <= ~ ( c2_1 @ a707 ) ),
    inference(split,[status(esa)],[zip_derived_cl203]) ).

thf(zip_derived_cl1368,plain,
    ( ( ~ ( c0_1 @ a707 )
      | ( c1_1 @ a707 ) )
   <= ( ~ ( c2_1 @ a707 )
      & ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ( c2_1 @ X33 )
          | ~ ( c0_1 @ X33 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl335,zip_derived_cl761]) ).

thf('70',plain,
    ( ~ ( c0_1 @ a707 )
    | ( c1_1 @ a707 )
    | ~ ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ( c2_1 @ X33 )
          | ~ ( c0_1 @ X33 ) )
    | ( c2_1 @ a707 ) ),
    inference(split,[status(esa)],[zip_derived_cl1368]) ).

thf(zip_derived_cl545_029,plain,
    ( ( c2_1 @ a705 )
   <= ( c2_1 @ a705 ) ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl244_030,plain,
    ( ! [X0: $i] :
        ( ( c3_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ( c3_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl1447,plain,
    ( ( ( c3_1 @ a705 )
      | ~ ( c1_1 @ a705 ) )
   <= ( ! [X0: $i] :
          ( ( c3_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 ) )
      & ( c2_1 @ a705 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl545,zip_derived_cl244]) ).

thf('71',plain,
    ( ( c3_1 @ a705 )
    | ~ ( c2_1 @ a705 )
    | ~ ! [X0: $i] :
          ( ( c3_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 ) )
    | ~ ( c1_1 @ a705 ) ),
    inference(split,[status(esa)],[zip_derived_cl1447]) ).

thf(zip_derived_cl70,plain,
    ! [X93: $i,X94: $i,X95: $i] :
      ( ( c0_1 @ X93 )
      | ( c1_1 @ X93 )
      | ~ ( c2_1 @ X93 )
      | ~ ndr1_0
      | ( c1_1 @ X94 )
      | ~ ( c2_1 @ X94 )
      | ~ ( c3_1 @ X94 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X95 )
      | ~ ( c2_1 @ X95 )
      | ~ ( c3_1 @ X95 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('72',plain,
    ( ! [X95: $i] :
        ( ~ ( c1_1 @ X95 )
        | ~ ( c2_1 @ X95 )
        | ~ ( c3_1 @ X95 ) )
    | ! [X16: $i] :
        ( ( c1_1 @ X16 )
        | ~ ( c2_1 @ X16 )
        | ~ ( c3_1 @ X16 ) )
    | ~ ndr1_0
    | ! [X92: $i] :
        ( ( c0_1 @ X92 )
        | ( c1_1 @ X92 )
        | ~ ( c2_1 @ X92 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl70]) ).

thf(zip_derived_cl535_031,plain,
    ( ( c2_1 @ a709 )
   <= ( c2_1 @ a709 ) ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl475,plain,
    ( ! [X95: $i] :
        ( ~ ( c1_1 @ X95 )
        | ~ ( c2_1 @ X95 )
        | ~ ( c3_1 @ X95 ) )
   <= ! [X95: $i] :
        ( ~ ( c1_1 @ X95 )
        | ~ ( c2_1 @ X95 )
        | ~ ( c3_1 @ X95 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl70]) ).

thf(zip_derived_cl1440,plain,
    ( ( ~ ( c1_1 @ a709 )
      | ~ ( c3_1 @ a709 ) )
   <= ( ! [X95: $i] :
          ( ~ ( c1_1 @ X95 )
          | ~ ( c2_1 @ X95 )
          | ~ ( c3_1 @ X95 ) )
      & ( c2_1 @ a709 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl535,zip_derived_cl475]) ).

thf('73',plain,
    ( ~ ! [X95: $i] :
          ( ~ ( c1_1 @ X95 )
          | ~ ( c2_1 @ X95 )
          | ~ ( c3_1 @ X95 ) )
    | ~ ( c1_1 @ a709 )
    | ~ ( c3_1 @ a709 )
    | ~ ( c2_1 @ a709 ) ),
    inference(split,[status(esa)],[zip_derived_cl1440]) ).

thf('74',plain,
    ( ! [X41: $i] :
        ( ( c0_1 @ X41 )
        | ~ ( c2_1 @ X41 )
        | ~ ( c3_1 @ X41 ) )
    | ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 ) )
    | ! [X44: $i] :
        ( ~ ( c0_1 @ X44 )
        | ~ ( c1_1 @ X44 )
        | ~ ( c2_1 @ X44 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl545_032,plain,
    ( ( c2_1 @ a705 )
   <= ( c2_1 @ a705 ) ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl359_033,plain,
    ( ! [X44: $i] :
        ( ~ ( c0_1 @ X44 )
        | ~ ( c1_1 @ X44 )
        | ~ ( c2_1 @ X44 ) )
   <= ! [X44: $i] :
        ( ~ ( c0_1 @ X44 )
        | ~ ( c1_1 @ X44 )
        | ~ ( c2_1 @ X44 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl1452,plain,
    ( ( ~ ( c0_1 @ a705 )
      | ~ ( c1_1 @ a705 ) )
   <= ( ! [X44: $i] :
          ( ~ ( c0_1 @ X44 )
          | ~ ( c1_1 @ X44 )
          | ~ ( c2_1 @ X44 ) )
      & ( c2_1 @ a705 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl545,zip_derived_cl359]) ).

thf('75',plain,
    ( ~ ! [X44: $i] :
          ( ~ ( c0_1 @ X44 )
          | ~ ( c1_1 @ X44 )
          | ~ ( c2_1 @ X44 ) )
    | ~ ( c0_1 @ a705 )
    | ~ ( c1_1 @ a705 )
    | ~ ( c2_1 @ a705 ) ),
    inference(split,[status(esa)],[zip_derived_cl1452]) ).

thf(zip_derived_cl535_034,plain,
    ( ( c2_1 @ a709 )
   <= ( c2_1 @ a709 ) ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl355_035,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_cl40]) ).

thf(zip_derived_cl1612,plain,
    ( ( ( c0_1 @ a709 )
      | ~ ( c3_1 @ a709 ) )
   <= ( ! [X41: $i] :
          ( ( c0_1 @ X41 )
          | ~ ( c2_1 @ X41 )
          | ~ ( c3_1 @ X41 ) )
      & ( c2_1 @ a709 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl535,zip_derived_cl355]) ).

thf('76',plain,
    ( ( c0_1 @ a709 )
    | ~ ( c2_1 @ a709 )
    | ~ ! [X41: $i] :
          ( ( c0_1 @ X41 )
          | ~ ( c2_1 @ X41 )
          | ~ ( c3_1 @ X41 ) )
    | ~ ( c3_1 @ a709 ) ),
    inference(split,[status(esa)],[zip_derived_cl1612]) ).

thf(zip_derived_cl545_036,plain,
    ( ( c2_1 @ a705 )
   <= ( c2_1 @ a705 ) ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl248_037,plain,
    ( ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl1448,plain,
    ( ( ( c3_1 @ a705 )
      | ~ ( c0_1 @ a705 ) )
   <= ( ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 ) )
      & ( c2_1 @ a705 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl545,zip_derived_cl248]) ).

thf('77',plain,
    ( ( c3_1 @ a705 )
    | ~ ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 ) )
    | ~ ( c2_1 @ a705 )
    | ~ ( c0_1 @ a705 ) ),
    inference(split,[status(esa)],[zip_derived_cl1448]) ).

thf('78',plain,
    ( ( c2_1 @ a705 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl20,plain,
    ! [X9: $i,X10: $i,X11: $i] :
      ( ( c2_1 @ X9 )
      | ~ ( c0_1 @ X9 )
      | ~ ( c1_1 @ X9 )
      | ~ ndr1_0
      | ( c3_1 @ X10 )
      | ~ ( c0_1 @ X10 )
      | ~ ( c1_1 @ X10 )
      | ~ ndr1_0
      | ( c3_1 @ X11 )
      | ~ ( c0_1 @ X11 )
      | ~ ( c2_1 @ X11 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('79',plain,
    ( ! [X2: $i] :
        ( ( c3_1 @ X2 )
        | ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 ) )
    | ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 ) )
    | ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl133,plain,
    ( ~ hskp18
    | ( c2_1 @ a739 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl621,plain,
    ( ( c2_1 @ a739 )
   <= ( c2_1 @ a739 ) ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf(zip_derived_cl256_038,plain,
    ( ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 )
        | ~ ( c3_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 )
        | ~ ( c3_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl1569,plain,
    ( ( ~ ( c0_1 @ a739 )
      | ~ ( c3_1 @ a739 ) )
   <= ( ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c2_1 @ X4 )
          | ~ ( c3_1 @ X4 ) )
      & ( c2_1 @ a739 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl621,zip_derived_cl256]) ).

thf('80',plain,
    ( ~ ( c0_1 @ a739 )
    | ~ ( c2_1 @ a739 )
    | ~ ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c2_1 @ X4 )
          | ~ ( c3_1 @ X4 ) )
    | ~ ( c3_1 @ a739 ) ),
    inference(split,[status(esa)],[zip_derived_cl1569]) ).

thf(zip_derived_cl206,plain,
    ( ~ hskp0
    | ~ ( c1_1 @ a706 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('81',plain,
    ( ~ ( c1_1 @ a706 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl206]) ).

thf('82',plain,
    ( ~ ! [X28: $i] :
          ( ( c1_1 @ X28 )
          | ( c2_1 @ X28 )
          | ~ ( c3_1 @ X28 ) )
    | ~ ( c3_1 @ a706 )
    | ( c2_1 @ a706 )
    | ( c1_1 @ a706 ) ),
    inference(split,[status(esa)],[zip_derived_cl1257]) ).

thf(zip_derived_cl205,plain,
    ( ~ hskp0
    | ~ ( c0_1 @ a706 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('83',plain,
    ( ~ ( c0_1 @ a706 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl205]) ).

thf('84',plain,
    ( ~ ( c2_1 @ a706 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl207]) ).

thf('85',plain,
    ( hskp0
    | ! [X0: $i] :
        ( ( c3_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
    | ~ ndr1_0
    | hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl182,plain,
    ( ~ hskp6
    | ( c2_1 @ a716 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl719,plain,
    ( ( c2_1 @ a716 )
   <= ( c2_1 @ a716 ) ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf(zip_derived_cl244_039,plain,
    ( ! [X0: $i] :
        ( ( c3_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ( c3_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl1652,plain,
    ( ( ( c3_1 @ a716 )
      | ~ ( c1_1 @ a716 ) )
   <= ( ! [X0: $i] :
          ( ( c3_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 ) )
      & ( c2_1 @ a716 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl719,zip_derived_cl244]) ).

thf('86',plain,
    ( ~ ( c1_1 @ a716 )
    | ~ ! [X0: $i] :
          ( ( c3_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 ) )
    | ( c3_1 @ a716 )
    | ~ ( c2_1 @ a716 ) ),
    inference(split,[status(esa)],[zip_derived_cl1652]) ).

thf(zip_derived_cl63,plain,
    ! [X79: $i,X80: $i,X81: $i] :
      ( ( c0_1 @ X79 )
      | ( c2_1 @ X79 )
      | ( c3_1 @ X79 )
      | ~ ndr1_0
      | ( c1_1 @ X80 )
      | ( c2_1 @ X80 )
      | ~ ( c0_1 @ X80 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X81 )
      | ~ ( c2_1 @ X81 )
      | ~ ( c3_1 @ X81 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('87',plain,
    ( ! [X78: $i] :
        ( ( c0_1 @ X78 )
        | ( c2_1 @ X78 )
        | ( c3_1 @ X78 ) )
    | ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 )
        | ~ ( c3_1 @ X4 ) )
    | ~ ndr1_0
    | ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c2_1 @ X33 )
        | ~ ( c0_1 @ X33 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl63]) ).

thf(zip_derived_cl280_040,plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c1_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c1_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl711_041,plain,
    ( ~ ( c2_1 @ a717 )
   <= ~ ( c2_1 @ a717 ) ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl982,plain,
    ( ( ~ ( c1_1 @ a717 )
      | ( c3_1 @ a717 ) )
   <= ( ~ ( c2_1 @ a717 )
      & ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c3_1 @ X12 )
          | ~ ( c1_1 @ X12 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl280,zip_derived_cl711]) ).

thf('88',plain,
    ( ~ ( c1_1 @ a717 )
    | ( c3_1 @ a717 )
    | ~ ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c3_1 @ X12 )
          | ~ ( c1_1 @ X12 ) )
    | ( c2_1 @ a717 ) ),
    inference(split,[status(esa)],[zip_derived_cl982]) ).

thf(zip_derived_cl443_042,plain,
    ( ! [X78: $i] :
        ( ( c0_1 @ X78 )
        | ( c2_1 @ X78 )
        | ( c3_1 @ X78 ) )
   <= ! [X78: $i] :
        ( ( c0_1 @ X78 )
        | ( c2_1 @ X78 )
        | ( c3_1 @ X78 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf(zip_derived_cl769_043,plain,
    ( ~ ( c2_1 @ a706 )
   <= ~ ( c2_1 @ a706 ) ),
    inference(split,[status(esa)],[zip_derived_cl207]) ).

thf(zip_derived_cl2264,plain,
    ( ( ( c3_1 @ a706 )
      | ( c0_1 @ a706 ) )
   <= ( ~ ( c2_1 @ a706 )
      & ! [X78: $i] :
          ( ( c0_1 @ X78 )
          | ( c2_1 @ X78 )
          | ( c3_1 @ X78 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl443,zip_derived_cl769]) ).

thf('89',plain,
    ( ( c3_1 @ a706 )
    | ( c0_1 @ a706 )
    | ~ ! [X78: $i] :
          ( ( c0_1 @ X78 )
          | ( c2_1 @ X78 )
          | ( c3_1 @ X78 ) )
    | ( c2_1 @ a706 ) ),
    inference(split,[status(esa)],[zip_derived_cl2264]) ).

thf('90',plain,
    ( ~ ( c2_1 @ a757 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl115]) ).

thf(zip_derived_cl260_044,plain,
    ( ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl585_045,plain,
    ( ~ ( c2_1 @ a757 )
   <= ~ ( c2_1 @ a757 ) ),
    inference(split,[status(esa)],[zip_derived_cl115]) ).

thf(zip_derived_cl857,plain,
    ( ( ~ ( c1_1 @ a757 )
      | ~ ( c0_1 @ a757 ) )
   <= ( ~ ( c2_1 @ a757 )
      & ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c1_1 @ X5 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl260,zip_derived_cl585]) ).

thf('91',plain,
    ( ~ ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c1_1 @ X5 ) )
    | ~ ( c0_1 @ a757 )
    | ( c2_1 @ a757 )
    | ~ ( c1_1 @ a757 ) ),
    inference(split,[status(esa)],[zip_derived_cl857]) ).

thf(zip_derived_cl66,plain,
    ! [X85: $i,X86: $i] :
      ( ( c0_1 @ X85 )
      | ( c1_1 @ X85 )
      | ~ ( c3_1 @ X85 )
      | ~ ndr1_0
      | ( c2_1 @ X86 )
      | ( c3_1 @ X86 )
      | ~ ( c0_1 @ X86 )
      | ~ ndr1_0
      | hskp29 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('92',plain,
    ( hskp29
    | ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ( c3_1 @ X14 )
        | ~ ( c0_1 @ X14 ) )
    | ! [X82: $i] :
        ( ( c0_1 @ X82 )
        | ( c1_1 @ X82 )
        | ~ ( c3_1 @ X82 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf(zip_derived_cl280_046,plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c1_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c1_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl167,plain,
    ( ~ hskp10
    | ~ ( c2_1 @ a720 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl689,plain,
    ( ~ ( c2_1 @ a720 )
   <= ~ ( c2_1 @ a720 ) ),
    inference(split,[status(esa)],[zip_derived_cl167]) ).

thf(zip_derived_cl984,plain,
    ( ( ~ ( c1_1 @ a720 )
      | ( c3_1 @ a720 ) )
   <= ( ~ ( c2_1 @ a720 )
      & ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c3_1 @ X12 )
          | ~ ( c1_1 @ X12 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl280,zip_derived_cl689]) ).

thf(zip_derived_cl1026,plain,
    ( ( c3_1 @ a720 )
   <= ( c3_1 @ a720 ) ),
    inference(split,[status(esa)],[zip_derived_cl984]) ).

thf(zip_derived_cl451_047,plain,
    ( ! [X82: $i] :
        ( ( c0_1 @ X82 )
        | ( c1_1 @ X82 )
        | ~ ( c3_1 @ X82 ) )
   <= ! [X82: $i] :
        ( ( c0_1 @ X82 )
        | ( c1_1 @ X82 )
        | ~ ( c3_1 @ X82 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl64]) ).

thf(zip_derived_cl1974,plain,
    ( ( ( c0_1 @ a720 )
      | ( c1_1 @ a720 ) )
   <= ( ! [X82: $i] :
          ( ( c0_1 @ X82 )
          | ( c1_1 @ X82 )
          | ~ ( c3_1 @ X82 ) )
      & ( c3_1 @ a720 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1026,zip_derived_cl451]) ).

thf('93',plain,
    ( ( c0_1 @ a720 )
    | ~ ! [X82: $i] :
          ( ( c0_1 @ X82 )
          | ( c1_1 @ X82 )
          | ~ ( c3_1 @ X82 ) )
    | ( c1_1 @ a720 )
    | ~ ( c3_1 @ a720 ) ),
    inference(split,[status(esa)],[zip_derived_cl1974]) ).

thf(zip_derived_cl1026_048,plain,
    ( ( c3_1 @ a720 )
   <= ( c3_1 @ a720 ) ),
    inference(split,[status(esa)],[zip_derived_cl984]) ).

thf(zip_derived_cl300_049,plain,
    ( ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c3_1 @ X19 ) )
   <= ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c3_1 @ X19 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl1126,plain,
    ( ( ( c1_1 @ a720 )
      | ~ ( c0_1 @ a720 ) )
   <= ( ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c0_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
      & ( c3_1 @ a720 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1026,zip_derived_cl300]) ).

thf('94',plain,
    ( ~ ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c0_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
    | ~ ( c0_1 @ a720 )
    | ( c1_1 @ a720 )
    | ~ ( c3_1 @ a720 ) ),
    inference(split,[status(esa)],[zip_derived_cl1126]) ).

thf(zip_derived_cl6299,plain,
    ( ( c3_1 @ a705 )
   <= ( c3_1 @ a705 ) ),
    inference(split,[status(esa)],[zip_derived_cl1447]) ).

thf(zip_derived_cl46,plain,
    ! [X51: $i,X52: $i] :
      ( ( c0_1 @ X51 )
      | ~ ( c1_1 @ X51 )
      | ~ ( c3_1 @ X51 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X52 )
      | ~ ( c1_1 @ X52 )
      | ~ ( c3_1 @ X52 )
      | ~ ndr1_0
      | hskp19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl379,plain,
    ( ! [X52: $i] :
        ( ~ ( c0_1 @ X52 )
        | ~ ( c1_1 @ X52 )
        | ~ ( c3_1 @ X52 ) )
   <= ! [X52: $i] :
        ( ~ ( c0_1 @ X52 )
        | ~ ( c1_1 @ X52 )
        | ~ ( c3_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl6325,plain,
    ( ( ~ ( c0_1 @ a705 )
      | ~ ( c1_1 @ a705 ) )
   <= ( ! [X52: $i] :
          ( ~ ( c0_1 @ X52 )
          | ~ ( c1_1 @ X52 )
          | ~ ( c3_1 @ X52 ) )
      & ( c3_1 @ a705 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6299,zip_derived_cl379]) ).

thf('95',plain,
    ( ~ ! [X52: $i] :
          ( ~ ( c0_1 @ X52 )
          | ~ ( c1_1 @ X52 )
          | ~ ( c3_1 @ X52 ) )
    | ~ ( c3_1 @ a705 )
    | ~ ( c0_1 @ a705 )
    | ~ ( c1_1 @ a705 ) ),
    inference(split,[status(esa)],[zip_derived_cl6325]) ).

thf(zip_derived_cl324_050,plain,
    ( ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ( c2_1 @ X28 )
        | ~ ( c3_1 @ X28 ) )
   <= ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ( c2_1 @ X28 )
        | ~ ( c3_1 @ X28 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl689_051,plain,
    ( ~ ( c2_1 @ a720 )
   <= ~ ( c2_1 @ a720 ) ),
    inference(split,[status(esa)],[zip_derived_cl167]) ).

thf(zip_derived_cl1263,plain,
    ( ( ~ ( c3_1 @ a720 )
      | ( c1_1 @ a720 ) )
   <= ( ~ ( c2_1 @ a720 )
      & ! [X28: $i] :
          ( ( c1_1 @ X28 )
          | ( c2_1 @ X28 )
          | ~ ( c3_1 @ X28 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl324,zip_derived_cl689]) ).

thf('96',plain,
    ( ~ ! [X28: $i] :
          ( ( c1_1 @ X28 )
          | ( c2_1 @ X28 )
          | ~ ( c3_1 @ X28 ) )
    | ( c1_1 @ a720 )
    | ( c2_1 @ a720 )
    | ~ ( c3_1 @ a720 ) ),
    inference(split,[status(esa)],[zip_derived_cl1263]) ).

thf(zip_derived_cl535_052,plain,
    ( ( c2_1 @ a709 )
   <= ( c2_1 @ a709 ) ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl256_053,plain,
    ( ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 )
        | ~ ( c3_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 )
        | ~ ( c3_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl1436,plain,
    ( ( ~ ( c0_1 @ a709 )
      | ~ ( c3_1 @ a709 ) )
   <= ( ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c2_1 @ X4 )
          | ~ ( c3_1 @ X4 ) )
      & ( c2_1 @ a709 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl535,zip_derived_cl256]) ).

thf('97',plain,
    ( ~ ( c0_1 @ a709 )
    | ~ ( c2_1 @ a709 )
    | ~ ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c2_1 @ X4 )
          | ~ ( c3_1 @ X4 ) )
    | ~ ( c3_1 @ a709 ) ),
    inference(split,[status(esa)],[zip_derived_cl1436]) ).

thf('98',plain,
    ( ( c2_1 @ a709 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl535_054,plain,
    ( ( c2_1 @ a709 )
   <= ( c2_1 @ a709 ) ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl48,plain,
    ! [X55: $i] :
      ( ( c0_1 @ X55 )
      | ~ ( c1_1 @ X55 )
      | ~ ( c2_1 @ X55 )
      | ~ ndr1_0
      | hskp28
      | hskp18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl387,plain,
    ( ! [X55: $i] :
        ( ( c0_1 @ X55 )
        | ~ ( c1_1 @ X55 )
        | ~ ( c2_1 @ X55 ) )
   <= ! [X55: $i] :
        ( ( c0_1 @ X55 )
        | ~ ( c1_1 @ X55 )
        | ~ ( c2_1 @ X55 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl1724,plain,
    ( ( ( c0_1 @ a709 )
      | ~ ( c1_1 @ a709 ) )
   <= ( ! [X55: $i] :
          ( ( c0_1 @ X55 )
          | ~ ( c1_1 @ X55 )
          | ~ ( c2_1 @ X55 ) )
      & ( c2_1 @ a709 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl535,zip_derived_cl387]) ).

thf('99',plain,
    ( ( c0_1 @ a709 )
    | ~ ! [X55: $i] :
          ( ( c0_1 @ X55 )
          | ~ ( c1_1 @ X55 )
          | ~ ( c2_1 @ X55 ) )
    | ~ ( c2_1 @ a709 )
    | ~ ( c1_1 @ a709 ) ),
    inference(split,[status(esa)],[zip_derived_cl1724]) ).

thf(zip_derived_cl119,plain,
    ( ~ hskp22
    | ~ ( c3_1 @ a756 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl593,plain,
    ( ~ ( c3_1 @ a756 )
   <= ~ ( c3_1 @ a756 ) ),
    inference(split,[status(esa)],[zip_derived_cl119]) ).

thf(zip_derived_cl252_055,plain,
    ( ! [X2: $i] :
        ( ( c3_1 @ X2 )
        | ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ( c3_1 @ X2 )
        | ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl833,plain,
    ( ( ~ ( c0_1 @ a756 )
      | ~ ( c1_1 @ a756 ) )
   <= ( ~ ( c3_1 @ a756 )
      & ! [X2: $i] :
          ( ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl593,zip_derived_cl252]) ).

thf('100',plain,
    ( ( c3_1 @ a756 )
    | ~ ( c0_1 @ a756 )
    | ~ ! [X2: $i] :
          ( ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 ) )
    | ~ ( c1_1 @ a756 ) ),
    inference(split,[status(esa)],[zip_derived_cl833]) ).

thf(zip_derived_cl118,plain,
    ( ~ hskp22
    | ( c2_1 @ a756 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl591,plain,
    ( ( c2_1 @ a756 )
   <= ( c2_1 @ a756 ) ),
    inference(split,[status(esa)],[zip_derived_cl118]) ).

thf(zip_derived_cl387_056,plain,
    ( ! [X55: $i] :
        ( ( c0_1 @ X55 )
        | ~ ( c1_1 @ X55 )
        | ~ ( c2_1 @ X55 ) )
   <= ! [X55: $i] :
        ( ( c0_1 @ X55 )
        | ~ ( c1_1 @ X55 )
        | ~ ( c2_1 @ X55 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl1720,plain,
    ( ( ( c0_1 @ a756 )
      | ~ ( c1_1 @ a756 ) )
   <= ( ! [X55: $i] :
          ( ( c0_1 @ X55 )
          | ~ ( c1_1 @ X55 )
          | ~ ( c2_1 @ X55 ) )
      & ( c2_1 @ a756 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl591,zip_derived_cl387]) ).

thf('101',plain,
    ( ( c0_1 @ a756 )
    | ~ ( c2_1 @ a756 )
    | ~ ! [X55: $i] :
          ( ( c0_1 @ X55 )
          | ~ ( c1_1 @ X55 )
          | ~ ( c2_1 @ X55 ) )
    | ~ ( c1_1 @ a756 ) ),
    inference(split,[status(esa)],[zip_derived_cl1720]) ).

thf('102',plain,
    ( hskp28
    | ! [X55: $i] :
        ( ( c0_1 @ X55 )
        | ~ ( c1_1 @ X55 )
        | ~ ( c2_1 @ X55 ) )
    | hskp18
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl189,plain,
    ( ~ hskp4
    | ( c0_1 @ a711 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('103',plain,
    ( ( c0_1 @ a711 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf(zip_derived_cl335_057,plain,
    ( ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c2_1 @ X33 )
        | ~ ( c0_1 @ X33 ) )
   <= ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c2_1 @ X33 )
        | ~ ( c0_1 @ X33 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl67,plain,
    ! [X87: $i,X88: $i] :
      ( ( c0_1 @ X87 )
      | ( c1_1 @ X87 )
      | ~ ( c3_1 @ X87 )
      | ~ ndr1_0
      | ( c1_1 @ X88 )
      | ~ ( c0_1 @ X88 )
      | ~ ( c2_1 @ X88 )
      | ~ ndr1_0
      | hskp30 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl463,plain,
    ( ! [X88: $i] :
        ( ( c1_1 @ X88 )
        | ~ ( c0_1 @ X88 )
        | ~ ( c2_1 @ X88 ) )
   <= ! [X88: $i] :
        ( ( c1_1 @ X88 )
        | ~ ( c0_1 @ X88 )
        | ~ ( c2_1 @ X88 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl67]) ).

thf(zip_derived_cl1774,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ( c1_1 @ X0 )
        | ( c1_1 @ X0 )
        | ~ ( c0_1 @ X0 ) )
   <= ( ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ( c2_1 @ X33 )
          | ~ ( c0_1 @ X33 ) )
      & ! [X88: $i] :
          ( ( c1_1 @ X88 )
          | ~ ( c0_1 @ X88 )
          | ~ ( c2_1 @ X88 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl335,zip_derived_cl463]) ).

thf(zip_derived_cl1791,plain,
    ( ! [X0: $i] :
        ( ( c1_1 @ X0 )
        | ~ ( c0_1 @ X0 ) )
   <= ( ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ( c2_1 @ X33 )
          | ~ ( c0_1 @ X33 ) )
      & ! [X88: $i] :
          ( ( c1_1 @ X88 )
          | ~ ( c0_1 @ X88 )
          | ~ ( c2_1 @ X88 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1774]) ).

thf(zip_derived_cl1070_058,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c1_1 @ X5 ) )
      & ! [X44: $i] :
          ( ~ ( c0_1 @ X44 )
          | ~ ( c1_1 @ X44 )
          | ~ ( c2_1 @ X44 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1067]) ).

thf(zip_derived_cl4152,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c0_1 @ X0 ) )
   <= ( ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c1_1 @ X5 ) )
      & ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ( c2_1 @ X33 )
          | ~ ( c0_1 @ X33 ) )
      & ! [X44: $i] :
          ( ~ ( c0_1 @ X44 )
          | ~ ( c1_1 @ X44 )
          | ~ ( c2_1 @ X44 ) )
      & ! [X88: $i] :
          ( ( c1_1 @ X88 )
          | ~ ( c0_1 @ X88 )
          | ~ ( c2_1 @ X88 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1791,zip_derived_cl1070]) ).

thf(zip_derived_cl4202,plain,
    ( ! [X0: $i] :
        ~ ( c0_1 @ X0 )
   <= ( ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c1_1 @ X5 ) )
      & ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ( c2_1 @ X33 )
          | ~ ( c0_1 @ X33 ) )
      & ! [X44: $i] :
          ( ~ ( c0_1 @ X44 )
          | ~ ( c1_1 @ X44 )
          | ~ ( c2_1 @ X44 ) )
      & ! [X88: $i] :
          ( ( c1_1 @ X88 )
          | ~ ( c0_1 @ X88 )
          | ~ ( c2_1 @ X88 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl4152]) ).

thf(zip_derived_cl141,plain,
    ( ~ hskp16
    | ( c0_1 @ a732 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl637,plain,
    ( ( c0_1 @ a732 )
   <= ( c0_1 @ a732 ) ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf('104',plain,
    ( ~ ! [X44: $i] :
          ( ~ ( c0_1 @ X44 )
          | ~ ( c1_1 @ X44 )
          | ~ ( c2_1 @ X44 ) )
    | ~ ! [X88: $i] :
          ( ( c1_1 @ X88 )
          | ~ ( c0_1 @ X88 )
          | ~ ( c2_1 @ X88 ) )
    | ~ ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ( c2_1 @ X33 )
          | ~ ( c0_1 @ X33 ) )
    | ~ ( c0_1 @ a732 )
    | ~ ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c1_1 @ X5 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl4202,zip_derived_cl637]) ).

thf(zip_derived_cl4202_059,plain,
    ( ! [X0: $i] :
        ~ ( c0_1 @ X0 )
   <= ( ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c1_1 @ X5 ) )
      & ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ( c2_1 @ X33 )
          | ~ ( c0_1 @ X33 ) )
      & ! [X44: $i] :
          ( ~ ( c0_1 @ X44 )
          | ~ ( c1_1 @ X44 )
          | ~ ( c2_1 @ X44 ) )
      & ! [X88: $i] :
          ( ( c1_1 @ X88 )
          | ~ ( c0_1 @ X88 )
          | ~ ( c2_1 @ X88 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl4152]) ).

thf(zip_derived_cl733,plain,
    ( ( c0_1 @ a711 )
   <= ( c0_1 @ a711 ) ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf('105',plain,
    ( ~ ! [X44: $i] :
          ( ~ ( c0_1 @ X44 )
          | ~ ( c1_1 @ X44 )
          | ~ ( c2_1 @ X44 ) )
    | ~ ! [X88: $i] :
          ( ( c1_1 @ X88 )
          | ~ ( c0_1 @ X88 )
          | ~ ( c2_1 @ X88 ) )
    | ~ ( c0_1 @ a711 )
    | ~ ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ( c2_1 @ X33 )
          | ~ ( c0_1 @ X33 ) )
    | ~ ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c1_1 @ X5 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl4202,zip_derived_cl733]) ).

thf(zip_derived_cl60,plain,
    ! [X72: $i,X73: $i,X74: $i] :
      ( ( c0_1 @ X72 )
      | ( c2_1 @ X72 )
      | ~ ( c1_1 @ X72 )
      | ~ ndr1_0
      | ( c1_1 @ X73 )
      | ~ ( c2_1 @ X73 )
      | ~ ( c3_1 @ X73 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X74 )
      | ~ ( c1_1 @ X74 )
      | ~ ( c2_1 @ X74 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('106',plain,
    ( ! [X44: $i] :
        ( ~ ( c0_1 @ X44 )
        | ~ ( c1_1 @ X44 )
        | ~ ( c2_1 @ X44 ) )
    | ! [X16: $i] :
        ( ( c1_1 @ X16 )
        | ~ ( c2_1 @ X16 )
        | ~ ( c3_1 @ X16 ) )
    | ! [X64: $i] :
        ( ( c0_1 @ X64 )
        | ( c2_1 @ X64 )
        | ~ ( c1_1 @ X64 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl60]) ).

thf(zip_derived_cl6,plain,
    ( hskp16
    | hskp24
    | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('107',plain,
    ( hskp4
    | hskp16
    | hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl455_060,plain,
    ( ! [X84: $i] :
        ( ( c2_1 @ X84 )
        | ~ ( c1_1 @ X84 )
        | ~ ( c3_1 @ X84 ) )
   <= ! [X84: $i] :
        ( ( c2_1 @ X84 )
        | ~ ( c1_1 @ X84 )
        | ~ ( c3_1 @ X84 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl65]) ).

thf(zip_derived_cl665_061,plain,
    ( ~ ( c2_1 @ a727 )
   <= ~ ( c2_1 @ a727 ) ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf(zip_derived_cl1935,plain,
    ( ( ~ ( c3_1 @ a727 )
      | ~ ( c1_1 @ a727 ) )
   <= ( ~ ( c2_1 @ a727 )
      & ! [X84: $i] :
          ( ( c2_1 @ X84 )
          | ~ ( c1_1 @ X84 )
          | ~ ( c3_1 @ X84 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl455,zip_derived_cl665]) ).

thf('108',plain,
    ( ~ ! [X84: $i] :
          ( ( c2_1 @ X84 )
          | ~ ( c1_1 @ X84 )
          | ~ ( c3_1 @ X84 ) )
    | ~ ( c1_1 @ a727 )
    | ~ ( c3_1 @ a727 )
    | ( c2_1 @ a727 ) ),
    inference(split,[status(esa)],[zip_derived_cl1935]) ).

thf(zip_derived_cl55,plain,
    ! [X64: $i] :
      ( ( c0_1 @ X64 )
      | ( c2_1 @ X64 )
      | ~ ( c1_1 @ X64 )
      | ~ ndr1_0
      | hskp8
      | hskp13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl415,plain,
    ( ! [X64: $i] :
        ( ( c0_1 @ X64 )
        | ( c2_1 @ X64 )
        | ~ ( c1_1 @ X64 ) )
   <= ! [X64: $i] :
        ( ( c0_1 @ X64 )
        | ( c2_1 @ X64 )
        | ~ ( c1_1 @ X64 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf(zip_derived_cl665_062,plain,
    ( ~ ( c2_1 @ a727 )
   <= ~ ( c2_1 @ a727 ) ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf(zip_derived_cl2161,plain,
    ( ( ~ ( c1_1 @ a727 )
      | ( c0_1 @ a727 ) )
   <= ( ~ ( c2_1 @ a727 )
      & ! [X64: $i] :
          ( ( c0_1 @ X64 )
          | ( c2_1 @ X64 )
          | ~ ( c1_1 @ X64 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl415,zip_derived_cl665]) ).

thf('109',plain,
    ( ~ ( c1_1 @ a727 )
    | ( c0_1 @ a727 )
    | ~ ! [X64: $i] :
          ( ( c0_1 @ X64 )
          | ( c2_1 @ X64 )
          | ~ ( c1_1 @ X64 ) )
    | ( c2_1 @ a727 ) ),
    inference(split,[status(esa)],[zip_derived_cl2161]) ).

thf('110',plain,
    ( ~ ! [X28: $i] :
          ( ( c1_1 @ X28 )
          | ( c2_1 @ X28 )
          | ~ ( c3_1 @ X28 ) )
    | ~ ( c3_1 @ a707 )
    | ( c2_1 @ a707 )
    | ( c1_1 @ a707 ) ),
    inference(split,[status(esa)],[zip_derived_cl1258]) ).

thf(zip_derived_cl201,plain,
    ( ~ hskp1
    | ( c0_1 @ a707 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('111',plain,
    ( ( c0_1 @ a707 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl201]) ).

thf(zip_derived_cl202,plain,
    ( ~ hskp1
    | ~ ( c1_1 @ a707 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('112',plain,
    ( ~ ( c1_1 @ a707 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl202]) ).

thf('113',plain,
    ( ~ ( c2_1 @ a707 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl203]) ).

thf(zip_derived_cl289,plain,
    ( ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ( c3_1 @ X14 )
        | ~ ( c0_1 @ X14 ) )
   <= ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ( c3_1 @ X14 )
        | ~ ( c0_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl761_063,plain,
    ( ~ ( c2_1 @ a707 )
   <= ~ ( c2_1 @ a707 ) ),
    inference(split,[status(esa)],[zip_derived_cl203]) ).

thf(zip_derived_cl1038,plain,
    ( ( ~ ( c0_1 @ a707 )
      | ( c3_1 @ a707 ) )
   <= ( ~ ( c2_1 @ a707 )
      & ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ( c3_1 @ X14 )
          | ~ ( c0_1 @ X14 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl289,zip_derived_cl761]) ).

thf('114',plain,
    ( ( c3_1 @ a707 )
    | ~ ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ( c3_1 @ X14 )
          | ~ ( c0_1 @ X14 ) )
    | ( c2_1 @ a707 )
    | ~ ( c0_1 @ a707 ) ),
    inference(split,[status(esa)],[zip_derived_cl1038]) ).

thf('115',plain,
    ( hskp31
    | ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 ) )
    | hskp1
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl719_064,plain,
    ( ( c2_1 @ a716 )
   <= ( c2_1 @ a716 ) ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf(zip_derived_cl248_065,plain,
    ( ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl1653,plain,
    ( ( ( c3_1 @ a716 )
      | ~ ( c0_1 @ a716 ) )
   <= ( ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 ) )
      & ( c2_1 @ a716 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl719,zip_derived_cl248]) ).

thf('116',plain,
    ( ~ ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 ) )
    | ~ ( c0_1 @ a716 )
    | ( c3_1 @ a716 )
    | ~ ( c2_1 @ a716 ) ),
    inference(split,[status(esa)],[zip_derived_cl1653]) ).

thf('117',plain,
    ( hskp6
    | ! [X84: $i] :
        ( ( c2_1 @ X84 )
        | ~ ( c1_1 @ X84 )
        | ~ ( c3_1 @ X84 ) )
    | ! [X82: $i] :
        ( ( c0_1 @ X82 )
        | ( c1_1 @ X82 )
        | ~ ( c3_1 @ X82 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl65]) ).

thf(zip_derived_cl415_066,plain,
    ( ! [X64: $i] :
        ( ( c0_1 @ X64 )
        | ( c2_1 @ X64 )
        | ~ ( c1_1 @ X64 ) )
   <= ! [X64: $i] :
        ( ( c0_1 @ X64 )
        | ( c2_1 @ X64 )
        | ~ ( c1_1 @ X64 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf(zip_derived_cl151,plain,
    ( ~ hskp14
    | ~ ( c2_1 @ a730 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl657,plain,
    ( ~ ( c2_1 @ a730 )
   <= ~ ( c2_1 @ a730 ) ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl2162,plain,
    ( ( ~ ( c1_1 @ a730 )
      | ( c0_1 @ a730 ) )
   <= ( ~ ( c2_1 @ a730 )
      & ! [X64: $i] :
          ( ( c0_1 @ X64 )
          | ( c2_1 @ X64 )
          | ~ ( c1_1 @ X64 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl415,zip_derived_cl657]) ).

thf('118',plain,
    ( ( c0_1 @ a730 )
    | ( c2_1 @ a730 )
    | ~ ! [X64: $i] :
          ( ( c0_1 @ X64 )
          | ( c2_1 @ X64 )
          | ~ ( c1_1 @ X64 ) )
    | ~ ( c1_1 @ a730 ) ),
    inference(split,[status(esa)],[zip_derived_cl2162]) ).

thf(zip_derived_cl455_067,plain,
    ( ! [X84: $i] :
        ( ( c2_1 @ X84 )
        | ~ ( c1_1 @ X84 )
        | ~ ( c3_1 @ X84 ) )
   <= ! [X84: $i] :
        ( ( c2_1 @ X84 )
        | ~ ( c1_1 @ X84 )
        | ~ ( c3_1 @ X84 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl65]) ).

thf(zip_derived_cl657_068,plain,
    ( ~ ( c2_1 @ a730 )
   <= ~ ( c2_1 @ a730 ) ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl1936,plain,
    ( ( ~ ( c3_1 @ a730 )
      | ~ ( c1_1 @ a730 ) )
   <= ( ~ ( c2_1 @ a730 )
      & ! [X84: $i] :
          ( ( c2_1 @ X84 )
          | ~ ( c1_1 @ X84 )
          | ~ ( c3_1 @ X84 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl455,zip_derived_cl657]) ).

thf('119',plain,
    ( ~ ! [X84: $i] :
          ( ( c2_1 @ X84 )
          | ~ ( c1_1 @ X84 )
          | ~ ( c3_1 @ X84 ) )
    | ~ ( c3_1 @ a730 )
    | ( c2_1 @ a730 )
    | ~ ( c1_1 @ a730 ) ),
    inference(split,[status(esa)],[zip_derived_cl1936]) ).

thf(zip_derived_cl719_069,plain,
    ( ( c2_1 @ a716 )
   <= ( c2_1 @ a716 ) ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf(zip_derived_cl463_070,plain,
    ( ! [X88: $i] :
        ( ( c1_1 @ X88 )
        | ~ ( c0_1 @ X88 )
        | ~ ( c2_1 @ X88 ) )
   <= ! [X88: $i] :
        ( ( c1_1 @ X88 )
        | ~ ( c0_1 @ X88 )
        | ~ ( c2_1 @ X88 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl67]) ).

thf(zip_derived_cl1776,plain,
    ( ( ( c1_1 @ a716 )
      | ~ ( c0_1 @ a716 ) )
   <= ( ! [X88: $i] :
          ( ( c1_1 @ X88 )
          | ~ ( c0_1 @ X88 )
          | ~ ( c2_1 @ X88 ) )
      & ( c2_1 @ a716 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl719,zip_derived_cl463]) ).

thf('120',plain,
    ( ~ ! [X88: $i] :
          ( ( c1_1 @ X88 )
          | ~ ( c0_1 @ X88 )
          | ~ ( c2_1 @ X88 ) )
    | ( c1_1 @ a716 )
    | ~ ( c2_1 @ a716 )
    | ~ ( c0_1 @ a716 ) ),
    inference(split,[status(esa)],[zip_derived_cl1776]) ).

thf(zip_derived_cl260_071,plain,
    ( ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl111,plain,
    ( ~ hskp24
    | ~ ( c2_1 @ a762 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl577,plain,
    ( ~ ( c2_1 @ a762 )
   <= ~ ( c2_1 @ a762 ) ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl858,plain,
    ( ( ~ ( c1_1 @ a762 )
      | ~ ( c0_1 @ a762 ) )
   <= ( ~ ( c2_1 @ a762 )
      & ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c1_1 @ X5 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl260,zip_derived_cl577]) ).

thf('121',plain,
    ( ~ ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c1_1 @ X5 ) )
    | ~ ( c1_1 @ a762 )
    | ( c2_1 @ a762 )
    | ~ ( c0_1 @ a762 ) ),
    inference(split,[status(esa)],[zip_derived_cl858]) ).

thf(zip_derived_cl45,plain,
    ! [X49: $i,X50: $i] :
      ( ( c0_1 @ X49 )
      | ~ ( c1_1 @ X49 )
      | ~ ( c3_1 @ X49 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X50 )
      | ~ ( c2_1 @ X50 )
      | ~ ( c3_1 @ X50 )
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('122',plain,
    ( hskp28
    | ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 )
        | ~ ( c3_1 @ X4 ) )
    | ~ ndr1_0
    | ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c1_1 @ X47 )
        | ~ ( c3_1 @ X47 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl34,plain,
    ! [X31: $i,X32: $i] :
      ( ( c1_1 @ X31 )
      | ( c2_1 @ X31 )
      | ~ ( c3_1 @ X31 )
      | ~ ndr1_0
      | ( c1_1 @ X32 )
      | ~ ( c0_1 @ X32 )
      | ~ ( c3_1 @ X32 )
      | ~ ndr1_0
      | hskp23 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('123',plain,
    ( hskp23
    | ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ( c2_1 @ X28 )
        | ~ ( c3_1 @ X28 ) )
    | ~ ndr1_0
    | ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c3_1 @ X19 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl87,plain,
    ( ~ hskp30
    | ( c3_1 @ a714 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl529,plain,
    ( ( c3_1 @ a714 )
   <= ( c3_1 @ a714 ) ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl300_072,plain,
    ( ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c3_1 @ X19 ) )
   <= ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c3_1 @ X19 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl1426,plain,
    ( ( ( c1_1 @ a714 )
      | ~ ( c0_1 @ a714 ) )
   <= ( ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c0_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
      & ( c3_1 @ a714 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl529,zip_derived_cl300]) ).

thf('124',plain,
    ( ( c1_1 @ a714 )
    | ~ ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c0_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
    | ~ ( c0_1 @ a714 )
    | ~ ( c3_1 @ a714 ) ),
    inference(split,[status(esa)],[zip_derived_cl1426]) ).

thf(zip_derived_cl529_073,plain,
    ( ( c3_1 @ a714 )
   <= ( c3_1 @ a714 ) ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl379_074,plain,
    ( ! [X52: $i] :
        ( ~ ( c0_1 @ X52 )
        | ~ ( c1_1 @ X52 )
        | ~ ( c3_1 @ X52 ) )
   <= ! [X52: $i] :
        ( ~ ( c0_1 @ X52 )
        | ~ ( c1_1 @ X52 )
        | ~ ( c3_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl1427,plain,
    ( ( ~ ( c0_1 @ a714 )
      | ~ ( c1_1 @ a714 ) )
   <= ( ! [X52: $i] :
          ( ~ ( c0_1 @ X52 )
          | ~ ( c1_1 @ X52 )
          | ~ ( c3_1 @ X52 ) )
      & ( c3_1 @ a714 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl529,zip_derived_cl379]) ).

thf('125',plain,
    ( ~ ! [X52: $i] :
          ( ~ ( c0_1 @ X52 )
          | ~ ( c1_1 @ X52 )
          | ~ ( c3_1 @ X52 ) )
    | ~ ( c1_1 @ a714 )
    | ~ ( c0_1 @ a714 )
    | ~ ( c3_1 @ a714 ) ),
    inference(split,[status(esa)],[zip_derived_cl1427]) ).

thf(zip_derived_cl84,plain,
    ( ~ hskp30
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('126',plain,
    ( ndr1_0
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl84]) ).

thf(zip_derived_cl36,plain,
    ! [X34: $i] :
      ( ( c1_1 @ X34 )
      | ( c2_1 @ X34 )
      | ~ ( c0_1 @ X34 )
      | ~ ndr1_0
      | hskp6
      | hskp13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('127',plain,
    ( hskp13
    | hskp6
    | ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c2_1 @ X33 )
        | ~ ( c0_1 @ X33 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl30,plain,
    ! [X24: $i,X25: $i] :
      ( ( c1_1 @ X24 )
      | ( c3_1 @ X24 )
      | ~ ( c2_1 @ X24 )
      | ~ ndr1_0
      | ( c2_1 @ X25 )
      | ( c3_1 @ X25 )
      | ~ ( c0_1 @ X25 )
      | ~ ndr1_0
      | hskp13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('128',plain,
    ( hskp13
    | ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ( c3_1 @ X14 )
        | ~ ( c0_1 @ X14 ) )
    | ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ( c3_1 @ X23 )
        | ~ ( c2_1 @ X23 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl289_075,plain,
    ( ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ( c3_1 @ X14 )
        | ~ ( c0_1 @ X14 ) )
   <= ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ( c3_1 @ X14 )
        | ~ ( c0_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl711_076,plain,
    ( ~ ( c2_1 @ a717 )
   <= ~ ( c2_1 @ a717 ) ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl1041,plain,
    ( ( ~ ( c0_1 @ a717 )
      | ( c3_1 @ a717 ) )
   <= ( ~ ( c2_1 @ a717 )
      & ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ( c3_1 @ X14 )
          | ~ ( c0_1 @ X14 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl289,zip_derived_cl711]) ).

thf('129',plain,
    ( ~ ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ( c3_1 @ X14 )
          | ~ ( c0_1 @ X14 ) )
    | ( c2_1 @ a717 )
    | ( c3_1 @ a717 )
    | ~ ( c0_1 @ a717 ) ),
    inference(split,[status(esa)],[zip_derived_cl1041]) ).

thf(zip_derived_cl4,plain,
    ( hskp7
    | hskp14
    | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('130',plain,
    ( hskp7
    | hskp14
    | hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf(zip_derived_cl280_077,plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c1_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c1_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl705_078,plain,
    ( ~ ( c2_1 @ a718 )
   <= ~ ( c2_1 @ a718 ) ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl983,plain,
    ( ( ~ ( c1_1 @ a718 )
      | ( c3_1 @ a718 ) )
   <= ( ~ ( c2_1 @ a718 )
      & ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c3_1 @ X12 )
          | ~ ( c1_1 @ X12 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl280,zip_derived_cl705]) ).

thf(zip_derived_cl1023,plain,
    ( ( c3_1 @ a718 )
   <= ( c3_1 @ a718 ) ),
    inference(split,[status(esa)],[zip_derived_cl983]) ).

thf(zip_derived_cl367_079,plain,
    ( ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c1_1 @ X47 )
        | ~ ( c3_1 @ X47 ) )
   <= ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c1_1 @ X47 )
        | ~ ( c3_1 @ X47 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl1685,plain,
    ( ( ( c0_1 @ a718 )
      | ~ ( c1_1 @ a718 ) )
   <= ( ! [X47: $i] :
          ( ( c0_1 @ X47 )
          | ~ ( c1_1 @ X47 )
          | ~ ( c3_1 @ X47 ) )
      & ( c3_1 @ a718 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1023,zip_derived_cl367]) ).

thf('131',plain,
    ( ~ ! [X47: $i] :
          ( ( c0_1 @ X47 )
          | ~ ( c1_1 @ X47 )
          | ~ ( c3_1 @ X47 ) )
    | ~ ( c3_1 @ a718 )
    | ( c0_1 @ a718 )
    | ~ ( c1_1 @ a718 ) ),
    inference(split,[status(esa)],[zip_derived_cl1685]) ).

thf('132',plain,
    ( ( c3_1 @ a718 )
    | ~ ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c3_1 @ X12 )
          | ~ ( c1_1 @ X12 ) )
    | ( c2_1 @ a718 )
    | ~ ( c1_1 @ a718 ) ),
    inference(split,[status(esa)],[zip_derived_cl983]) ).

thf('133',plain,
    ( hskp13
    | ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c1_1 @ X12 ) )
    | hskp29
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl1028_080,plain,
    ( ( c3_1 @ a727 )
   <= ( c3_1 @ a727 ) ),
    inference(split,[status(esa)],[zip_derived_cl985]) ).

thf(zip_derived_cl367_081,plain,
    ( ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c1_1 @ X47 )
        | ~ ( c3_1 @ X47 ) )
   <= ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c1_1 @ X47 )
        | ~ ( c3_1 @ X47 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl1688,plain,
    ( ( ( c0_1 @ a727 )
      | ~ ( c1_1 @ a727 ) )
   <= ( ! [X47: $i] :
          ( ( c0_1 @ X47 )
          | ~ ( c1_1 @ X47 )
          | ~ ( c3_1 @ X47 ) )
      & ( c3_1 @ a727 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1028,zip_derived_cl367]) ).

thf('134',plain,
    ( ~ ( c1_1 @ a727 )
    | ~ ! [X47: $i] :
          ( ( c0_1 @ X47 )
          | ~ ( c1_1 @ X47 )
          | ~ ( c3_1 @ X47 ) )
    | ( c0_1 @ a727 )
    | ~ ( c3_1 @ a727 ) ),
    inference(split,[status(esa)],[zip_derived_cl1688]) ).

thf(zip_derived_cl153,plain,
    ( ~ hskp13
    | ( c3_1 @ a727 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('135',plain,
    ( ( c3_1 @ a727 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl154,plain,
    ( ~ hskp13
    | ~ ( c0_1 @ a727 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('136',plain,
    ( ~ ( c0_1 @ a727 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf('137',plain,
    ( ~ ( c2_1 @ a727 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf(zip_derived_cl324_082,plain,
    ( ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ( c2_1 @ X28 )
        | ~ ( c3_1 @ X28 ) )
   <= ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ( c2_1 @ X28 )
        | ~ ( c3_1 @ X28 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl665_083,plain,
    ( ~ ( c2_1 @ a727 )
   <= ~ ( c2_1 @ a727 ) ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf(zip_derived_cl1264,plain,
    ( ( ~ ( c3_1 @ a727 )
      | ( c1_1 @ a727 ) )
   <= ( ~ ( c2_1 @ a727 )
      & ! [X28: $i] :
          ( ( c1_1 @ X28 )
          | ( c2_1 @ X28 )
          | ~ ( c3_1 @ X28 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl324,zip_derived_cl665]) ).

thf('138',plain,
    ( ~ ! [X28: $i] :
          ( ( c1_1 @ X28 )
          | ( c2_1 @ X28 )
          | ~ ( c3_1 @ X28 ) )
    | ( c1_1 @ a727 )
    | ( c2_1 @ a727 )
    | ~ ( c3_1 @ a727 ) ),
    inference(split,[status(esa)],[zip_derived_cl1264]) ).

thf('139',plain,
    ( ~ ( c2_1 @ a730 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl657_084,plain,
    ( ~ ( c2_1 @ a730 )
   <= ~ ( c2_1 @ a730 ) ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl260_085,plain,
    ( ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl867,plain,
    ( ( ~ ( c0_1 @ a730 )
      | ~ ( c1_1 @ a730 ) )
   <= ( ~ ( c2_1 @ a730 )
      & ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c1_1 @ X5 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl657,zip_derived_cl260]) ).

thf('140',plain,
    ( ~ ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c1_1 @ X5 ) )
    | ~ ( c1_1 @ a730 )
    | ( c2_1 @ a730 )
    | ~ ( c0_1 @ a730 ) ),
    inference(split,[status(esa)],[zip_derived_cl867]) ).

thf(zip_derived_cl149,plain,
    ( ~ hskp14
    | ( c1_1 @ a730 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('141',plain,
    ( ( c1_1 @ a730 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl150,plain,
    ( ~ hskp14
    | ( c3_1 @ a730 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('142',plain,
    ( ( c3_1 @ a730 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf(zip_derived_cl280_086,plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c1_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c1_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl657_087,plain,
    ( ~ ( c2_1 @ a730 )
   <= ~ ( c2_1 @ a730 ) ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl986,plain,
    ( ( ~ ( c1_1 @ a730 )
      | ( c3_1 @ a730 ) )
   <= ( ~ ( c2_1 @ a730 )
      & ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c3_1 @ X12 )
          | ~ ( c1_1 @ X12 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl280,zip_derived_cl657]) ).

thf(zip_derived_cl1029,plain,
    ( ( c3_1 @ a730 )
   <= ( c3_1 @ a730 ) ),
    inference(split,[status(esa)],[zip_derived_cl986]) ).

thf(zip_derived_cl367_088,plain,
    ( ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c1_1 @ X47 )
        | ~ ( c3_1 @ X47 ) )
   <= ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c1_1 @ X47 )
        | ~ ( c3_1 @ X47 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl1689,plain,
    ( ( ( c0_1 @ a730 )
      | ~ ( c1_1 @ a730 ) )
   <= ( ! [X47: $i] :
          ( ( c0_1 @ X47 )
          | ~ ( c1_1 @ X47 )
          | ~ ( c3_1 @ X47 ) )
      & ( c3_1 @ a730 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1029,zip_derived_cl367]) ).

thf('143',plain,
    ( ( c0_1 @ a730 )
    | ~ ( c3_1 @ a730 )
    | ~ ! [X47: $i] :
          ( ( c0_1 @ X47 )
          | ~ ( c1_1 @ X47 )
          | ~ ( c3_1 @ X47 ) )
    | ~ ( c1_1 @ a730 ) ),
    inference(split,[status(esa)],[zip_derived_cl1689]) ).

thf(zip_derived_cl591_089,plain,
    ( ( c2_1 @ a756 )
   <= ( c2_1 @ a756 ) ),
    inference(split,[status(esa)],[zip_derived_cl118]) ).

thf(zip_derived_cl244_090,plain,
    ( ! [X0: $i] :
        ( ( c3_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ( c3_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl1537,plain,
    ( ( ( c3_1 @ a756 )
      | ~ ( c1_1 @ a756 ) )
   <= ( ! [X0: $i] :
          ( ( c3_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 ) )
      & ( c2_1 @ a756 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl591,zip_derived_cl244]) ).

thf('144',plain,
    ( ( c3_1 @ a756 )
    | ~ ( c2_1 @ a756 )
    | ~ ! [X0: $i] :
          ( ( c3_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 ) )
    | ~ ( c1_1 @ a756 ) ),
    inference(split,[status(esa)],[zip_derived_cl1537]) ).

thf(zip_derived_cl19,plain,
    ! [X8: $i] :
      ( ( c2_1 @ X8 )
      | ~ ( c0_1 @ X8 )
      | ~ ( c1_1 @ X8 )
      | ~ ndr1_0
      | hskp28
      | hskp31 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('145',plain,
    ( hskp31
    | hskp28
    | ~ ndr1_0
    | ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl117,plain,
    ( ~ hskp22
    | ( c1_1 @ a756 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('146',plain,
    ( ( c1_1 @ a756 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl117]) ).

thf('147',plain,
    ( ( c2_1 @ a756 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl118]) ).

thf('148',plain,
    ( ~ hskp22
    | ~ ( c3_1 @ a756 ) ),
    inference(split,[status(esa)],[zip_derived_cl119]) ).

thf(zip_derived_cl179,plain,
    ( ~ hskp7
    | ~ ( c3_1 @ a717 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl713,plain,
    ( ~ ( c3_1 @ a717 )
   <= ~ ( c3_1 @ a717 ) ),
    inference(split,[status(esa)],[zip_derived_cl179]) ).

thf(zip_derived_cl252_091,plain,
    ( ! [X2: $i] :
        ( ( c3_1 @ X2 )
        | ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ( c3_1 @ X2 )
        | ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl901,plain,
    ( ( ~ ( c0_1 @ a717 )
      | ~ ( c1_1 @ a717 ) )
   <= ( ~ ( c3_1 @ a717 )
      & ! [X2: $i] :
          ( ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl713,zip_derived_cl252]) ).

thf('149',plain,
    ( ~ ( c1_1 @ a717 )
    | ( c3_1 @ a717 )
    | ~ ! [X2: $i] :
          ( ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 ) )
    | ~ ( c0_1 @ a717 ) ),
    inference(split,[status(esa)],[zip_derived_cl901]) ).

thf(zip_derived_cl177,plain,
    ( ~ hskp7
    | ( c0_1 @ a717 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('150',plain,
    ( ( c0_1 @ a717 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf('151',plain,
    ( ~ ( c2_1 @ a717 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf('152',plain,
    ( ~ ( c3_1 @ a717 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl179]) ).

thf(zip_derived_cl54,plain,
    ! [X63: $i] :
      ( ( c0_1 @ X63 )
      | ( c2_1 @ X63 )
      | ~ ( c3_1 @ X63 )
      | ~ ndr1_0
      | hskp30
      | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('153',plain,
    ( hskp7
    | hskp30
    | ! [X62: $i] :
        ( ( c0_1 @ X62 )
        | ( c2_1 @ X62 )
        | ~ ( c3_1 @ X62 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf(zip_derived_cl53,plain,
    ! [X62: $i] :
      ( ( c0_1 @ X62 )
      | ( c2_1 @ X62 )
      | ~ ( c3_1 @ X62 )
      | ~ ndr1_0
      | hskp14
      | hskp15 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl407,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_cl53]) ).

thf(zip_derived_cl689_092,plain,
    ( ~ ( c2_1 @ a720 )
   <= ~ ( c2_1 @ a720 ) ),
    inference(split,[status(esa)],[zip_derived_cl167]) ).

thf(zip_derived_cl2047,plain,
    ( ( ~ ( c3_1 @ a720 )
      | ( c0_1 @ a720 ) )
   <= ( ~ ( c2_1 @ a720 )
      & ! [X62: $i] :
          ( ( c0_1 @ X62 )
          | ( c2_1 @ X62 )
          | ~ ( c3_1 @ X62 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl407,zip_derived_cl689]) ).

thf('154',plain,
    ( ~ ! [X62: $i] :
          ( ( c0_1 @ X62 )
          | ( c2_1 @ X62 )
          | ~ ( c3_1 @ X62 ) )
    | ( c0_1 @ a720 )
    | ~ ( c3_1 @ a720 )
    | ( c2_1 @ a720 ) ),
    inference(split,[status(esa)],[zip_derived_cl2047]) ).

thf(zip_derived_cl335_093,plain,
    ( ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c2_1 @ X33 )
        | ~ ( c0_1 @ X33 ) )
   <= ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c2_1 @ X33 )
        | ~ ( c0_1 @ X33 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl689_094,plain,
    ( ~ ( c2_1 @ a720 )
   <= ~ ( c2_1 @ a720 ) ),
    inference(split,[status(esa)],[zip_derived_cl167]) ).

thf(zip_derived_cl1373,plain,
    ( ( ~ ( c0_1 @ a720 )
      | ( c1_1 @ a720 ) )
   <= ( ~ ( c2_1 @ a720 )
      & ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ( c2_1 @ X33 )
          | ~ ( c0_1 @ X33 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl335,zip_derived_cl689]) ).

thf('155',plain,
    ( ~ ( c0_1 @ a720 )
    | ( c1_1 @ a720 )
    | ~ ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ( c2_1 @ X33 )
          | ~ ( c0_1 @ X33 ) )
    | ( c2_1 @ a720 ) ),
    inference(split,[status(esa)],[zip_derived_cl1373]) ).

thf(zip_derived_cl165,plain,
    ( ~ hskp10
    | ( c3_1 @ a720 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('156',plain,
    ( ( c3_1 @ a720 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl166,plain,
    ( ~ hskp10
    | ~ ( c1_1 @ a720 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('157',plain,
    ( ~ ( c1_1 @ a720 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl166]) ).

thf('158',plain,
    ( ~ ( c2_1 @ a720 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl167]) ).

thf(zip_derived_cl3,plain,
    ( hskp29
    | hskp18
    | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('159',plain,
    ( hskp10
    | hskp29
    | hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl37,plain,
    ! [X35: $i] :
      ( ( c1_1 @ X35 )
      | ( c2_1 @ X35 )
      | ~ ( c0_1 @ X35 )
      | ~ ndr1_0
      | hskp30
      | hskp18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('160',plain,
    ( ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c2_1 @ X33 )
        | ~ ( c0_1 @ X33 ) )
    | hskp30
    | hskp18
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl621_095,plain,
    ( ( c2_1 @ a739 )
   <= ( c2_1 @ a739 ) ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf(zip_derived_cl292_096,plain,
    ( ! [X16: $i] :
        ( ( c1_1 @ X16 )
        | ~ ( c2_1 @ X16 )
        | ~ ( c3_1 @ X16 ) )
   <= ! [X16: $i] :
        ( ( c1_1 @ X16 )
        | ~ ( c2_1 @ X16 )
        | ~ ( c3_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl1570,plain,
    ( ( ( c1_1 @ a739 )
      | ~ ( c3_1 @ a739 ) )
   <= ( ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ~ ( c2_1 @ X16 )
          | ~ ( c3_1 @ X16 ) )
      & ( c2_1 @ a739 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl621,zip_derived_cl292]) ).

thf('161',plain,
    ( ~ ( c3_1 @ a739 )
    | ( c1_1 @ a739 )
    | ~ ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ~ ( c2_1 @ X16 )
          | ~ ( c3_1 @ X16 ) )
    | ~ ( c2_1 @ a739 ) ),
    inference(split,[status(esa)],[zip_derived_cl1570]) ).

thf('162',plain,
    ( hskp22
    | ! [X16: $i] :
        ( ( c1_1 @ X16 )
        | ~ ( c2_1 @ X16 )
        | ~ ( c3_1 @ X16 ) )
    | hskp30
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl136,plain,
    ( ~ hskp17
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('163',plain,
    ( ndr1_0
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl136]) ).

thf(zip_derived_cl335_097,plain,
    ( ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c2_1 @ X33 )
        | ~ ( c0_1 @ X33 ) )
   <= ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c2_1 @ X33 )
        | ~ ( c0_1 @ X33 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl711_098,plain,
    ( ~ ( c2_1 @ a717 )
   <= ~ ( c2_1 @ a717 ) ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl1371,plain,
    ( ( ~ ( c0_1 @ a717 )
      | ( c1_1 @ a717 ) )
   <= ( ~ ( c2_1 @ a717 )
      & ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ( c2_1 @ X33 )
          | ~ ( c0_1 @ X33 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl335,zip_derived_cl711]) ).

thf('164',plain,
    ( ( c1_1 @ a717 )
    | ( c2_1 @ a717 )
    | ~ ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ( c2_1 @ X33 )
          | ~ ( c0_1 @ X33 ) )
    | ~ ( c0_1 @ a717 ) ),
    inference(split,[status(esa)],[zip_derived_cl1371]) ).

thf(zip_derived_cl11,plain,
    ( hskp23
    | hskp30
    | hskp17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('165',plain,
    ( hskp17
    | hskp23
    | hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl91,plain,
    ( ~ hskp29
    | ( c3_1 @ a709 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl537,plain,
    ( ( c3_1 @ a709 )
   <= ( c3_1 @ a709 ) ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl367_099,plain,
    ( ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c1_1 @ X47 )
        | ~ ( c3_1 @ X47 ) )
   <= ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c1_1 @ X47 )
        | ~ ( c3_1 @ X47 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl1697,plain,
    ( ( ( c0_1 @ a709 )
      | ~ ( c1_1 @ a709 ) )
   <= ( ! [X47: $i] :
          ( ( c0_1 @ X47 )
          | ~ ( c1_1 @ X47 )
          | ~ ( c3_1 @ X47 ) )
      & ( c3_1 @ a709 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl537,zip_derived_cl367]) ).

thf('166',plain,
    ( ( c0_1 @ a709 )
    | ~ ! [X47: $i] :
          ( ( c0_1 @ X47 )
          | ~ ( c1_1 @ X47 )
          | ~ ( c3_1 @ X47 ) )
    | ~ ( c3_1 @ a709 )
    | ~ ( c1_1 @ a709 ) ),
    inference(split,[status(esa)],[zip_derived_cl1697]) ).

thf(zip_derived_cl89,plain,
    ( ~ hskp29
    | ( c1_1 @ a709 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('167',plain,
    ( ( c1_1 @ a709 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf('168',plain,
    ( ( c3_1 @ a709 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl537_100,plain,
    ( ( c3_1 @ a709 )
   <= ( c3_1 @ a709 ) ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl379_101,plain,
    ( ! [X52: $i] :
        ( ~ ( c0_1 @ X52 )
        | ~ ( c1_1 @ X52 )
        | ~ ( c3_1 @ X52 ) )
   <= ! [X52: $i] :
        ( ~ ( c0_1 @ X52 )
        | ~ ( c1_1 @ X52 )
        | ~ ( c3_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl1442,plain,
    ( ( ~ ( c0_1 @ a709 )
      | ~ ( c1_1 @ a709 ) )
   <= ( ! [X52: $i] :
          ( ~ ( c0_1 @ X52 )
          | ~ ( c1_1 @ X52 )
          | ~ ( c3_1 @ X52 ) )
      & ( c3_1 @ a709 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl537,zip_derived_cl379]) ).

thf('169',plain,
    ( ~ ! [X52: $i] :
          ( ~ ( c0_1 @ X52 )
          | ~ ( c1_1 @ X52 )
          | ~ ( c3_1 @ X52 ) )
    | ~ ( c0_1 @ a709 )
    | ~ ( c1_1 @ a709 )
    | ~ ( c3_1 @ a709 ) ),
    inference(split,[status(esa)],[zip_derived_cl1442]) ).

thf(zip_derived_cl2000,plain,
    ( ~ ( c3_1 @ a709 )
   <= ~ ( c3_1 @ a709 ) ),
    inference(split,[status(esa)],[zip_derived_cl1440]) ).

thf(zip_derived_cl252_102,plain,
    ( ! [X2: $i] :
        ( ( c3_1 @ X2 )
        | ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ( c3_1 @ X2 )
        | ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl2002,plain,
    ( ( ~ ( c0_1 @ a709 )
      | ~ ( c1_1 @ a709 ) )
   <= ( ~ ( c3_1 @ a709 )
      & ! [X2: $i] :
          ( ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2000,zip_derived_cl252]) ).

thf('170',plain,
    ( ( c3_1 @ a709 )
    | ~ ( c0_1 @ a709 )
    | ~ ! [X2: $i] :
          ( ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 ) )
    | ~ ( c1_1 @ a709 ) ),
    inference(split,[status(esa)],[zip_derived_cl2002]) ).

thf(zip_derived_cl93,plain,
    ( ~ hskp28
    | ( c0_1 @ a705 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('171',plain,
    ( ( c0_1 @ a705 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf(zip_derived_cl94,plain,
    ( ~ hskp28
    | ( c1_1 @ a705 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('172',plain,
    ( ( c1_1 @ a705 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf(zip_derived_cl543,plain,
    ( ( c1_1 @ a705 )
   <= ( c1_1 @ a705 ) ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf(zip_derived_cl252_103,plain,
    ( ! [X2: $i] :
        ( ( c3_1 @ X2 )
        | ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ( c3_1 @ X2 )
        | ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl379_104,plain,
    ( ! [X52: $i] :
        ( ~ ( c0_1 @ X52 )
        | ~ ( c1_1 @ X52 )
        | ~ ( c3_1 @ X52 ) )
   <= ! [X52: $i] :
        ( ~ ( c0_1 @ X52 )
        | ~ ( c1_1 @ X52 )
        | ~ ( c3_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl1135,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 ) )
      & ! [X52: $i] :
          ( ~ ( c0_1 @ X52 )
          | ~ ( c1_1 @ X52 )
          | ~ ( c3_1 @ X52 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl252,zip_derived_cl379]) ).

thf(zip_derived_cl1148,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 ) )
      & ! [X52: $i] :
          ( ~ ( c0_1 @ X52 )
          | ~ ( c1_1 @ X52 )
          | ~ ( c3_1 @ X52 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1135]) ).

thf(zip_derived_cl1444,plain,
    ( ~ ( c0_1 @ a705 )
   <= ( ! [X2: $i] :
          ( ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 ) )
      & ! [X52: $i] :
          ( ~ ( c0_1 @ X52 )
          | ~ ( c1_1 @ X52 )
          | ~ ( c3_1 @ X52 ) )
      & ( c1_1 @ a705 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl543,zip_derived_cl1148]) ).

thf(zip_derived_cl541,plain,
    ( ( c0_1 @ a705 )
   <= ( c0_1 @ a705 ) ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf('173',plain,
    ( ~ ! [X52: $i] :
          ( ~ ( c0_1 @ X52 )
          | ~ ( c1_1 @ X52 )
          | ~ ( c3_1 @ X52 ) )
    | ~ ! [X2: $i] :
          ( ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 ) )
    | ~ ( c0_1 @ a705 )
    | ~ ( c1_1 @ a705 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1444,zip_derived_cl541]) ).

thf(zip_derived_cl113,plain,
    ( ~ hskp23
    | ( c0_1 @ a757 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('174',plain,
    ( ( c0_1 @ a757 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl113]) ).

thf(zip_derived_cl114,plain,
    ( ~ hskp23
    | ( c1_1 @ a757 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('175',plain,
    ( ( c1_1 @ a757 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl114]) ).

thf(zip_derived_cl583,plain,
    ( ( c1_1 @ a757 )
   <= ( c1_1 @ a757 ) ),
    inference(split,[status(esa)],[zip_derived_cl114]) ).

thf(zip_derived_cl1148_105,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 ) )
      & ! [X52: $i] :
          ( ~ ( c0_1 @ X52 )
          | ~ ( c1_1 @ X52 )
          | ~ ( c3_1 @ X52 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1135]) ).

thf(zip_derived_cl1522,plain,
    ( ~ ( c0_1 @ a757 )
   <= ( ! [X2: $i] :
          ( ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 ) )
      & ! [X52: $i] :
          ( ~ ( c0_1 @ X52 )
          | ~ ( c1_1 @ X52 )
          | ~ ( c3_1 @ X52 ) )
      & ( c1_1 @ a757 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl583,zip_derived_cl1148]) ).

thf(zip_derived_cl581,plain,
    ( ( c0_1 @ a757 )
   <= ( c0_1 @ a757 ) ),
    inference(split,[status(esa)],[zip_derived_cl113]) ).

thf('176',plain,
    ( ~ ! [X52: $i] :
          ( ~ ( c0_1 @ X52 )
          | ~ ( c1_1 @ X52 )
          | ~ ( c3_1 @ X52 ) )
    | ~ ( c1_1 @ a757 )
    | ~ ! [X2: $i] :
          ( ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 ) )
    | ~ ( c0_1 @ a757 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1522,zip_derived_cl581]) ).

thf(zip_derived_cl324_106,plain,
    ( ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ( c2_1 @ X28 )
        | ~ ( c3_1 @ X28 ) )
   <= ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ( c2_1 @ X28 )
        | ~ ( c3_1 @ X28 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl577_107,plain,
    ( ~ ( c2_1 @ a762 )
   <= ~ ( c2_1 @ a762 ) ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl1268,plain,
    ( ( ~ ( c3_1 @ a762 )
      | ( c1_1 @ a762 ) )
   <= ( ~ ( c2_1 @ a762 )
      & ! [X28: $i] :
          ( ( c1_1 @ X28 )
          | ( c2_1 @ X28 )
          | ~ ( c3_1 @ X28 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl324,zip_derived_cl577]) ).

thf('177',plain,
    ( ( c1_1 @ a762 )
    | ~ ! [X28: $i] :
          ( ( c1_1 @ X28 )
          | ( c2_1 @ X28 )
          | ~ ( c3_1 @ X28 ) )
    | ( c2_1 @ a762 )
    | ~ ( c3_1 @ a762 ) ),
    inference(split,[status(esa)],[zip_derived_cl1268]) ).

thf('178',plain,
    ( ( c0_1 @ a723 )
    | ~ hskp31 ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf('179',plain,
    ( ( c1_1 @ a723 )
    | ~ hskp31 ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl83,plain,
    ( ~ hskp31
    | ( c3_1 @ a723 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('180',plain,
    ( ( c3_1 @ a723 )
    | ~ hskp31 ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl521,plain,
    ( ( c3_1 @ a723 )
   <= ( c3_1 @ a723 ) ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl379_108,plain,
    ( ! [X52: $i] :
        ( ~ ( c0_1 @ X52 )
        | ~ ( c1_1 @ X52 )
        | ~ ( c3_1 @ X52 ) )
   <= ! [X52: $i] :
        ( ~ ( c0_1 @ X52 )
        | ~ ( c1_1 @ X52 )
        | ~ ( c3_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl1418,plain,
    ( ( ~ ( c0_1 @ a723 )
      | ~ ( c1_1 @ a723 ) )
   <= ( ! [X52: $i] :
          ( ~ ( c0_1 @ X52 )
          | ~ ( c1_1 @ X52 )
          | ~ ( c3_1 @ X52 ) )
      & ( c3_1 @ a723 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl521,zip_derived_cl379]) ).

thf('181',plain,
    ( ~ ! [X52: $i] :
          ( ~ ( c0_1 @ X52 )
          | ~ ( c1_1 @ X52 )
          | ~ ( c3_1 @ X52 ) )
    | ~ ( c1_1 @ a723 )
    | ~ ( c0_1 @ a723 )
    | ~ ( c3_1 @ a723 ) ),
    inference(split,[status(esa)],[zip_derived_cl1418]) ).

thf(zip_derived_cl42,plain,
    ! [X45: $i,X46: $i] :
      ( ( c0_1 @ X45 )
      | ~ ( c2_1 @ X45 )
      | ~ ( c3_1 @ X45 )
      | ~ ndr1_0
      | ( c2_1 @ X46 )
      | ( c3_1 @ X46 )
      | ~ ( c1_1 @ X46 )
      | ~ ndr1_0
      | hskp20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('182',plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c1_1 @ X12 ) )
    | hskp20
    | ! [X41: $i] :
        ( ( c0_1 @ X41 )
        | ~ ( c2_1 @ X41 )
        | ~ ( c3_1 @ X41 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl695_109,plain,
    ( ( c2_1 @ a719 )
   <= ( c2_1 @ a719 ) ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl387_110,plain,
    ( ! [X55: $i] :
        ( ( c0_1 @ X55 )
        | ~ ( c1_1 @ X55 )
        | ~ ( c2_1 @ X55 ) )
   <= ! [X55: $i] :
        ( ( c0_1 @ X55 )
        | ~ ( c1_1 @ X55 )
        | ~ ( c2_1 @ X55 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl1715,plain,
    ( ( ( c0_1 @ a719 )
      | ~ ( c1_1 @ a719 ) )
   <= ( ! [X55: $i] :
          ( ( c0_1 @ X55 )
          | ~ ( c1_1 @ X55 )
          | ~ ( c2_1 @ X55 ) )
      & ( c2_1 @ a719 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl695,zip_derived_cl387]) ).

thf('183',plain,
    ( ( c0_1 @ a719 )
    | ~ ! [X55: $i] :
          ( ( c0_1 @ X55 )
          | ~ ( c1_1 @ X55 )
          | ~ ( c2_1 @ X55 ) )
    | ~ ( c2_1 @ a719 )
    | ~ ( c1_1 @ a719 ) ),
    inference(split,[status(esa)],[zip_derived_cl1715]) ).

thf(zip_derived_cl695_111,plain,
    ( ( c2_1 @ a719 )
   <= ( c2_1 @ a719 ) ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl355_112,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_cl40]) ).

thf(zip_derived_cl1635,plain,
    ( ( ( c0_1 @ a719 )
      | ~ ( c3_1 @ a719 ) )
   <= ( ! [X41: $i] :
          ( ( c0_1 @ X41 )
          | ~ ( c2_1 @ X41 )
          | ~ ( c3_1 @ X41 ) )
      & ( c2_1 @ a719 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl695,zip_derived_cl355]) ).

thf('184',plain,
    ( ( c0_1 @ a719 )
    | ~ ( c3_1 @ a719 )
    | ~ ! [X41: $i] :
          ( ( c0_1 @ X41 )
          | ~ ( c2_1 @ X41 )
          | ~ ( c3_1 @ X41 ) )
    | ~ ( c2_1 @ a719 ) ),
    inference(split,[status(esa)],[zip_derived_cl1635]) ).

thf(zip_derived_cl695_113,plain,
    ( ( c2_1 @ a719 )
   <= ( c2_1 @ a719 ) ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl256_114,plain,
    ( ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 )
        | ~ ( c3_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 )
        | ~ ( c3_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl1632,plain,
    ( ( ~ ( c0_1 @ a719 )
      | ~ ( c3_1 @ a719 ) )
   <= ( ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c2_1 @ X4 )
          | ~ ( c3_1 @ X4 ) )
      & ( c2_1 @ a719 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl695,zip_derived_cl256]) ).

thf(zip_derived_cl2360,plain,
    ( ~ ( c3_1 @ a719 )
   <= ~ ( c3_1 @ a719 ) ),
    inference(split,[status(esa)],[zip_derived_cl1632]) ).

thf(zip_derived_cl399_115,plain,
    ( ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ( c3_1 @ X59 )
        | ~ ( c1_1 @ X59 ) )
   <= ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ( c3_1 @ X59 )
        | ~ ( c1_1 @ X59 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf(zip_derived_cl2364,plain,
    ( ( ( c0_1 @ a719 )
      | ~ ( c1_1 @ a719 ) )
   <= ( ~ ( c3_1 @ a719 )
      & ! [X59: $i] :
          ( ( c0_1 @ X59 )
          | ( c3_1 @ X59 )
          | ~ ( c1_1 @ X59 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2360,zip_derived_cl399]) ).

thf('185',plain,
    ( ~ ! [X59: $i] :
          ( ( c0_1 @ X59 )
          | ( c3_1 @ X59 )
          | ~ ( c1_1 @ X59 ) )
    | ( c3_1 @ a719 )
    | ~ ( c1_1 @ a719 )
    | ( c0_1 @ a719 ) ),
    inference(split,[status(esa)],[zip_derived_cl2364]) ).

thf(zip_derived_cl169,plain,
    ( ~ hskp9
    | ( c1_1 @ a719 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('186',plain,
    ( ( c1_1 @ a719 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl169]) ).

thf('187',plain,
    ( ( c2_1 @ a719 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl171,plain,
    ( ~ hskp9
    | ~ ( c0_1 @ a719 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('188',plain,
    ( ~ hskp9
    | ~ ( c0_1 @ a719 ) ),
    inference(split,[status(esa)],[zip_derived_cl171]) ).

thf(zip_derived_cl127,plain,
    ( ~ hskp20
    | ~ ( c3_1 @ a747 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl609,plain,
    ( ~ ( c3_1 @ a747 )
   <= ~ ( c3_1 @ a747 ) ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl252_116,plain,
    ( ! [X2: $i] :
        ( ( c3_1 @ X2 )
        | ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ( c3_1 @ X2 )
        | ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl841,plain,
    ( ( ~ ( c0_1 @ a747 )
      | ~ ( c1_1 @ a747 ) )
   <= ( ~ ( c3_1 @ a747 )
      & ! [X2: $i] :
          ( ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl609,zip_derived_cl252]) ).

thf('189',plain,
    ( ( c3_1 @ a747 )
    | ~ ( c0_1 @ a747 )
    | ~ ! [X2: $i] :
          ( ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 ) )
    | ~ ( c1_1 @ a747 ) ),
    inference(split,[status(esa)],[zip_derived_cl841]) ).

thf(zip_derived_cl399_117,plain,
    ( ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ( c3_1 @ X59 )
        | ~ ( c1_1 @ X59 ) )
   <= ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ( c3_1 @ X59 )
        | ~ ( c1_1 @ X59 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf(zip_derived_cl609_118,plain,
    ( ~ ( c3_1 @ a747 )
   <= ~ ( c3_1 @ a747 ) ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl1892,plain,
    ( ( ~ ( c1_1 @ a747 )
      | ( c0_1 @ a747 ) )
   <= ( ~ ( c3_1 @ a747 )
      & ! [X59: $i] :
          ( ( c0_1 @ X59 )
          | ( c3_1 @ X59 )
          | ~ ( c1_1 @ X59 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl399,zip_derived_cl609]) ).

thf('190',plain,
    ( ( c0_1 @ a747 )
    | ( c3_1 @ a747 )
    | ~ ! [X59: $i] :
          ( ( c0_1 @ X59 )
          | ( c3_1 @ X59 )
          | ~ ( c1_1 @ X59 ) )
    | ~ ( c1_1 @ a747 ) ),
    inference(split,[status(esa)],[zip_derived_cl1892]) ).

thf('191',plain,
    ( hskp16
    | ! [X61: $i] :
        ( ( c2_1 @ X61 )
        | ~ ( c0_1 @ X61 )
        | ~ ( c3_1 @ X61 ) )
    | ~ ndr1_0
    | ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ( c3_1 @ X59 )
        | ~ ( c1_1 @ X59 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl455_119,plain,
    ( ! [X84: $i] :
        ( ( c2_1 @ X84 )
        | ~ ( c1_1 @ X84 )
        | ~ ( c3_1 @ X84 ) )
   <= ! [X84: $i] :
        ( ( c2_1 @ X84 )
        | ~ ( c1_1 @ X84 )
        | ~ ( c3_1 @ X84 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl65]) ).

thf(zip_derived_cl577_120,plain,
    ( ~ ( c2_1 @ a762 )
   <= ~ ( c2_1 @ a762 ) ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl1939,plain,
    ( ( ~ ( c3_1 @ a762 )
      | ~ ( c1_1 @ a762 ) )
   <= ( ~ ( c2_1 @ a762 )
      & ! [X84: $i] :
          ( ( c2_1 @ X84 )
          | ~ ( c1_1 @ X84 )
          | ~ ( c3_1 @ X84 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl455,zip_derived_cl577]) ).

thf('192',plain,
    ( ~ ! [X84: $i] :
          ( ( c2_1 @ X84 )
          | ~ ( c1_1 @ X84 )
          | ~ ( c3_1 @ X84 ) )
    | ~ ( c1_1 @ a762 )
    | ( c2_1 @ a762 )
    | ~ ( c3_1 @ a762 ) ),
    inference(split,[status(esa)],[zip_derived_cl1939]) ).

thf(zip_derived_cl403_121,plain,
    ( ! [X61: $i] :
        ( ( c2_1 @ X61 )
        | ~ ( c0_1 @ X61 )
        | ~ ( c3_1 @ X61 ) )
   <= ! [X61: $i] :
        ( ( c2_1 @ X61 )
        | ~ ( c0_1 @ X61 )
        | ~ ( c3_1 @ X61 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl577_122,plain,
    ( ~ ( c2_1 @ a762 )
   <= ~ ( c2_1 @ a762 ) ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl1834,plain,
    ( ( ~ ( c3_1 @ a762 )
      | ~ ( c0_1 @ a762 ) )
   <= ( ~ ( c2_1 @ a762 )
      & ! [X61: $i] :
          ( ( c2_1 @ X61 )
          | ~ ( c0_1 @ X61 )
          | ~ ( c3_1 @ X61 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl403,zip_derived_cl577]) ).

thf('193',plain,
    ( ~ ! [X61: $i] :
          ( ( c2_1 @ X61 )
          | ~ ( c0_1 @ X61 )
          | ~ ( c3_1 @ X61 ) )
    | ~ ( c0_1 @ a762 )
    | ( c2_1 @ a762 )
    | ~ ( c3_1 @ a762 ) ),
    inference(split,[status(esa)],[zip_derived_cl1834]) ).

thf(zip_derived_cl280_123,plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c1_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c1_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl577_124,plain,
    ( ~ ( c2_1 @ a762 )
   <= ~ ( c2_1 @ a762 ) ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl989,plain,
    ( ( ~ ( c1_1 @ a762 )
      | ( c3_1 @ a762 ) )
   <= ( ~ ( c2_1 @ a762 )
      & ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c3_1 @ X12 )
          | ~ ( c1_1 @ X12 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl280,zip_derived_cl577]) ).

thf(zip_derived_cl1079,plain,
    ( ( c3_1 @ a762 )
   <= ( c3_1 @ a762 ) ),
    inference(split,[status(esa)],[zip_derived_cl989]) ).

thf(zip_derived_cl300_125,plain,
    ( ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c3_1 @ X19 ) )
   <= ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c3_1 @ X19 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl1131,plain,
    ( ( ( c1_1 @ a762 )
      | ~ ( c0_1 @ a762 ) )
   <= ( ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c0_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
      & ( c3_1 @ a762 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1079,zip_derived_cl300]) ).

thf('194',plain,
    ( ( c1_1 @ a762 )
    | ~ ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c0_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
    | ~ ( c0_1 @ a762 )
    | ~ ( c3_1 @ a762 ) ),
    inference(split,[status(esa)],[zip_derived_cl1131]) ).

thf(zip_derived_cl109,plain,
    ( ~ hskp24
    | ( c0_1 @ a762 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('195',plain,
    ( ( c0_1 @ a762 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf(zip_derived_cl110,plain,
    ( ~ hskp24
    | ( c3_1 @ a762 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('196',plain,
    ( ( c3_1 @ a762 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl110]) ).

thf('197',plain,
    ( ~ ( c2_1 @ a762 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf('198',plain,
    ( hskp24
    | ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ( c3_1 @ X23 )
        | ~ ( c2_1 @ X23 ) )
    | hskp18
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl161,plain,
    ( ~ hskp11
    | ( c3_1 @ a721 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('199',plain,
    ( ( c3_1 @ a721 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl162,plain,
    ( ~ hskp11
    | ~ ( c0_1 @ a721 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('200',plain,
    ( ~ ( c0_1 @ a721 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf(zip_derived_cl163,plain,
    ( ~ hskp11
    | ~ ( c1_1 @ a721 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('201',plain,
    ( ~ ( c1_1 @ a721 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl157,plain,
    ( ~ hskp12
    | ( c2_1 @ a725 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl669,plain,
    ( ( c2_1 @ a725 )
   <= ( c2_1 @ a725 ) ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl355_126,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_cl40]) ).

thf(zip_derived_cl1621,plain,
    ( ( ( c0_1 @ a725 )
      | ~ ( c3_1 @ a725 ) )
   <= ( ! [X41: $i] :
          ( ( c0_1 @ X41 )
          | ~ ( c2_1 @ X41 )
          | ~ ( c3_1 @ X41 ) )
      & ( c2_1 @ a725 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl669,zip_derived_cl355]) ).

thf('202',plain,
    ( ~ ( c3_1 @ a725 )
    | ~ ( c2_1 @ a725 )
    | ~ ! [X41: $i] :
          ( ( c0_1 @ X41 )
          | ~ ( c2_1 @ X41 )
          | ~ ( c3_1 @ X41 ) )
    | ( c0_1 @ a725 ) ),
    inference(split,[status(esa)],[zip_derived_cl1621]) ).

thf(zip_derived_cl59,plain,
    ! [X70: $i,X71: $i] :
      ( ( c0_1 @ X70 )
      | ( c2_1 @ X70 )
      | ~ ( c1_1 @ X70 )
      | ~ ndr1_0
      | ( c1_1 @ X71 )
      | ~ ( c2_1 @ X71 )
      | ~ ( c3_1 @ X71 )
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('203',plain,
    ( hskp11
    | ! [X16: $i] :
        ( ( c1_1 @ X16 )
        | ~ ( c2_1 @ X16 )
        | ~ ( c3_1 @ X16 ) )
    | ! [X64: $i] :
        ( ( c0_1 @ X64 )
        | ( c2_1 @ X64 )
        | ~ ( c1_1 @ X64 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl669_127,plain,
    ( ( c2_1 @ a725 )
   <= ( c2_1 @ a725 ) ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl471_128,plain,
    ( ! [X92: $i] :
        ( ( c0_1 @ X92 )
        | ( c1_1 @ X92 )
        | ~ ( c2_1 @ X92 ) )
   <= ! [X92: $i] :
        ( ( c0_1 @ X92 )
        | ( c1_1 @ X92 )
        | ~ ( c2_1 @ X92 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl69]) ).

thf(zip_derived_cl2096,plain,
    ( ( ( c0_1 @ a725 )
      | ( c1_1 @ a725 ) )
   <= ( ! [X92: $i] :
          ( ( c0_1 @ X92 )
          | ( c1_1 @ X92 )
          | ~ ( c2_1 @ X92 ) )
      & ( c2_1 @ a725 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl669,zip_derived_cl471]) ).

thf('204',plain,
    ( ~ ! [X92: $i] :
          ( ( c0_1 @ X92 )
          | ( c1_1 @ X92 )
          | ~ ( c2_1 @ X92 ) )
    | ( c0_1 @ a725 )
    | ( c1_1 @ a725 )
    | ~ ( c2_1 @ a725 ) ),
    inference(split,[status(esa)],[zip_derived_cl2096]) ).

thf(zip_derived_cl669_129,plain,
    ( ( c2_1 @ a725 )
   <= ( c2_1 @ a725 ) ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl292_130,plain,
    ( ! [X16: $i] :
        ( ( c1_1 @ X16 )
        | ~ ( c2_1 @ X16 )
        | ~ ( c3_1 @ X16 ) )
   <= ! [X16: $i] :
        ( ( c1_1 @ X16 )
        | ~ ( c2_1 @ X16 )
        | ~ ( c3_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl1619,plain,
    ( ( ( c1_1 @ a725 )
      | ~ ( c3_1 @ a725 ) )
   <= ( ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ~ ( c2_1 @ X16 )
          | ~ ( c3_1 @ X16 ) )
      & ( c2_1 @ a725 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl669,zip_derived_cl292]) ).

thf('205',plain,
    ( ~ ( c3_1 @ a725 )
    | ~ ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ~ ( c2_1 @ X16 )
          | ~ ( c3_1 @ X16 ) )
    | ~ ( c2_1 @ a725 )
    | ( c1_1 @ a725 ) ),
    inference(split,[status(esa)],[zip_derived_cl1619]) ).

thf(zip_derived_cl669_131,plain,
    ( ( c2_1 @ a725 )
   <= ( c2_1 @ a725 ) ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl312_132,plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ( c3_1 @ X23 )
        | ~ ( c2_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ( c3_1 @ X23 )
        | ~ ( c2_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl1620,plain,
    ( ( ( c1_1 @ a725 )
      | ( c3_1 @ a725 ) )
   <= ( ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ( c3_1 @ X23 )
          | ~ ( c2_1 @ X23 ) )
      & ( c2_1 @ a725 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl669,zip_derived_cl312]) ).

thf('206',plain,
    ( ~ ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ( c3_1 @ X23 )
          | ~ ( c2_1 @ X23 ) )
    | ( c3_1 @ a725 )
    | ( c1_1 @ a725 )
    | ~ ( c2_1 @ a725 ) ),
    inference(split,[status(esa)],[zip_derived_cl1620]) ).

thf('207',plain,
    ( ( c2_1 @ a725 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl158,plain,
    ( ~ hskp12
    | ~ ( c0_1 @ a725 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('208',plain,
    ( ~ ( c0_1 @ a725 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl159,plain,
    ( ~ hskp12
    | ~ ( c1_1 @ a725 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('209',plain,
    ( ~ ( c1_1 @ a725 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl173,plain,
    ( ~ hskp8
    | ( c1_1 @ a718 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('210',plain,
    ( ( c1_1 @ a718 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl173]) ).

thf(zip_derived_cl174,plain,
    ( ~ hskp8
    | ~ ( c0_1 @ a718 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('211',plain,
    ( ~ ( c0_1 @ a718 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf('212',plain,
    ( ~ ( c2_1 @ a718 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl415_133,plain,
    ( ! [X64: $i] :
        ( ( c0_1 @ X64 )
        | ( c2_1 @ X64 )
        | ~ ( c1_1 @ X64 ) )
   <= ! [X64: $i] :
        ( ( c0_1 @ X64 )
        | ( c2_1 @ X64 )
        | ~ ( c1_1 @ X64 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf(zip_derived_cl705_134,plain,
    ( ~ ( c2_1 @ a718 )
   <= ~ ( c2_1 @ a718 ) ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl2159,plain,
    ( ( ~ ( c1_1 @ a718 )
      | ( c0_1 @ a718 ) )
   <= ( ~ ( c2_1 @ a718 )
      & ! [X64: $i] :
          ( ( c0_1 @ X64 )
          | ( c2_1 @ X64 )
          | ~ ( c1_1 @ X64 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl415,zip_derived_cl705]) ).

thf('213',plain,
    ( ~ ! [X64: $i] :
          ( ( c0_1 @ X64 )
          | ( c2_1 @ X64 )
          | ~ ( c1_1 @ X64 ) )
    | ( c0_1 @ a718 )
    | ( c2_1 @ a718 )
    | ~ ( c1_1 @ a718 ) ),
    inference(split,[status(esa)],[zip_derived_cl2159]) ).

thf(zip_derived_cl9,plain,
    ( hskp25
    | hskp18
    | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('214',plain,
    ( hskp25
    | hskp12
    | hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl7,plain,
    ( hskp6
    | hskp8
    | hskp18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('215',plain,
    ( hskp6
    | hskp8
    | hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl567_135,plain,
    ( ( c2_1 @ a764 )
   <= ( c2_1 @ a764 ) ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(zip_derived_cl312_136,plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ( c3_1 @ X23 )
        | ~ ( c2_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ( c3_1 @ X23 )
        | ~ ( c2_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl1514,plain,
    ( ( ( c1_1 @ a764 )
      | ( c3_1 @ a764 ) )
   <= ( ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ( c3_1 @ X23 )
          | ~ ( c2_1 @ X23 ) )
      & ( c2_1 @ a764 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl567,zip_derived_cl312]) ).

thf('216',plain,
    ( ~ ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ( c3_1 @ X23 )
          | ~ ( c2_1 @ X23 ) )
    | ( c3_1 @ a764 )
    | ( c1_1 @ a764 )
    | ~ ( c2_1 @ a764 ) ),
    inference(split,[status(esa)],[zip_derived_cl1514]) ).

thf(zip_derived_cl105,plain,
    ( ~ hskp25
    | ( c0_1 @ a764 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('217',plain,
    ( ( c0_1 @ a764 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl105]) ).

thf('218',plain,
    ( ( c2_1 @ a764 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(zip_derived_cl107,plain,
    ( ~ hskp25
    | ~ ( c1_1 @ a764 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('219',plain,
    ( ~ ( c1_1 @ a764 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl107]) ).

thf(zip_derived_cl567_137,plain,
    ( ( c2_1 @ a764 )
   <= ( c2_1 @ a764 ) ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(zip_derived_cl244_138,plain,
    ( ! [X0: $i] :
        ( ( c3_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ( c3_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl1510,plain,
    ( ( ( c3_1 @ a764 )
      | ~ ( c1_1 @ a764 ) )
   <= ( ! [X0: $i] :
          ( ( c3_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 ) )
      & ( c2_1 @ a764 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl567,zip_derived_cl244]) ).

thf(zip_derived_cl6419,plain,
    ( ( c3_1 @ a764 )
   <= ( c3_1 @ a764 ) ),
    inference(split,[status(esa)],[zip_derived_cl1510]) ).

thf(zip_derived_cl300_139,plain,
    ( ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c3_1 @ X19 ) )
   <= ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c3_1 @ X19 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl6443,plain,
    ( ( ( c1_1 @ a764 )
      | ~ ( c0_1 @ a764 ) )
   <= ( ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c0_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
      & ( c3_1 @ a764 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6419,zip_derived_cl300]) ).

thf('220',plain,
    ( ~ ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c0_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
    | ~ ( c3_1 @ a764 )
    | ( c1_1 @ a764 )
    | ~ ( c0_1 @ a764 ) ),
    inference(split,[status(esa)],[zip_derived_cl6443]) ).

thf(zip_derived_cl181,plain,
    ( ~ hskp6
    | ( c0_1 @ a716 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('221',plain,
    ( ( c0_1 @ a716 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl181]) ).

thf(zip_derived_cl183,plain,
    ( ~ hskp6
    | ~ ( c3_1 @ a716 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl721,plain,
    ( ~ ( c3_1 @ a716 )
   <= ~ ( c3_1 @ a716 ) ),
    inference(split,[status(esa)],[zip_derived_cl183]) ).

thf(zip_derived_cl252_140,plain,
    ( ! [X2: $i] :
        ( ( c3_1 @ X2 )
        | ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ( c3_1 @ X2 )
        | ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl903,plain,
    ( ( ~ ( c0_1 @ a716 )
      | ~ ( c1_1 @ a716 ) )
   <= ( ~ ( c3_1 @ a716 )
      & ! [X2: $i] :
          ( ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl721,zip_derived_cl252]) ).

thf('222',plain,
    ( ~ ( c1_1 @ a716 )
    | ~ ! [X2: $i] :
          ( ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 ) )
    | ~ ( c0_1 @ a716 )
    | ( c3_1 @ a716 ) ),
    inference(split,[status(esa)],[zip_derived_cl903]) ).

thf('223',plain,
    ( ( c2_1 @ a716 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf('224',plain,
    ( ~ ( c3_1 @ a716 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl183]) ).

thf(zip_derived_cl719_141,plain,
    ( ( c2_1 @ a716 )
   <= ( c2_1 @ a716 ) ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf(zip_derived_cl312_142,plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ( c3_1 @ X23 )
        | ~ ( c2_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ( c3_1 @ X23 )
        | ~ ( c2_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl1656,plain,
    ( ( ( c1_1 @ a716 )
      | ( c3_1 @ a716 ) )
   <= ( ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ( c3_1 @ X23 )
          | ~ ( c2_1 @ X23 ) )
      & ( c2_1 @ a716 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl719,zip_derived_cl312]) ).

thf('225',plain,
    ( ~ ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ( c3_1 @ X23 )
          | ~ ( c2_1 @ X23 ) )
    | ( c1_1 @ a716 )
    | ~ ( c2_1 @ a716 )
    | ( c3_1 @ a716 ) ),
    inference(split,[status(esa)],[zip_derived_cl1656]) ).

thf(zip_derived_cl677,plain,
    ( ( c3_1 @ a721 )
   <= ( c3_1 @ a721 ) ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl451_143,plain,
    ( ! [X82: $i] :
        ( ( c0_1 @ X82 )
        | ( c1_1 @ X82 )
        | ~ ( c3_1 @ X82 ) )
   <= ! [X82: $i] :
        ( ( c0_1 @ X82 )
        | ( c1_1 @ X82 )
        | ~ ( c3_1 @ X82 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl64]) ).

thf(zip_derived_cl1975,plain,
    ( ( ( c0_1 @ a721 )
      | ( c1_1 @ a721 ) )
   <= ( ! [X82: $i] :
          ( ( c0_1 @ X82 )
          | ( c1_1 @ X82 )
          | ~ ( c3_1 @ X82 ) )
      & ( c3_1 @ a721 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl677,zip_derived_cl451]) ).

thf('226',plain,
    ( ~ ! [X82: $i] :
          ( ( c0_1 @ X82 )
          | ( c1_1 @ X82 )
          | ~ ( c3_1 @ X82 ) )
    | ( c0_1 @ a721 )
    | ( c1_1 @ a721 )
    | ~ ( c3_1 @ a721 ) ),
    inference(split,[status(esa)],[zip_derived_cl1975]) ).

thf(zip_derived_cl621_144,plain,
    ( ( c2_1 @ a739 )
   <= ( c2_1 @ a739 ) ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf(zip_derived_cl471_145,plain,
    ( ! [X92: $i] :
        ( ( c0_1 @ X92 )
        | ( c1_1 @ X92 )
        | ~ ( c2_1 @ X92 ) )
   <= ! [X92: $i] :
        ( ( c0_1 @ X92 )
        | ( c1_1 @ X92 )
        | ~ ( c2_1 @ X92 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl69]) ).

thf(zip_derived_cl2098,plain,
    ( ( ( c0_1 @ a739 )
      | ( c1_1 @ a739 ) )
   <= ( ! [X92: $i] :
          ( ( c0_1 @ X92 )
          | ( c1_1 @ X92 )
          | ~ ( c2_1 @ X92 ) )
      & ( c2_1 @ a739 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl621,zip_derived_cl471]) ).

thf('227',plain,
    ( ( c0_1 @ a739 )
    | ( c1_1 @ a739 )
    | ~ ! [X92: $i] :
          ( ( c0_1 @ X92 )
          | ( c1_1 @ X92 )
          | ~ ( c2_1 @ X92 ) )
    | ~ ( c2_1 @ a739 ) ),
    inference(split,[status(esa)],[zip_derived_cl2098]) ).

thf(zip_derived_cl134,plain,
    ( ~ hskp18
    | ( c3_1 @ a739 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl623,plain,
    ( ( c3_1 @ a739 )
   <= ( c3_1 @ a739 ) ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl451_146,plain,
    ( ! [X82: $i] :
        ( ( c0_1 @ X82 )
        | ( c1_1 @ X82 )
        | ~ ( c3_1 @ X82 ) )
   <= ! [X82: $i] :
        ( ( c0_1 @ X82 )
        | ( c1_1 @ X82 )
        | ~ ( c3_1 @ X82 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl64]) ).

thf(zip_derived_cl1979,plain,
    ( ( ( c0_1 @ a739 )
      | ( c1_1 @ a739 ) )
   <= ( ! [X82: $i] :
          ( ( c0_1 @ X82 )
          | ( c1_1 @ X82 )
          | ~ ( c3_1 @ X82 ) )
      & ( c3_1 @ a739 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl623,zip_derived_cl451]) ).

thf('228',plain,
    ( ( c0_1 @ a739 )
    | ( c1_1 @ a739 )
    | ~ ! [X82: $i] :
          ( ( c0_1 @ X82 )
          | ( c1_1 @ X82 )
          | ~ ( c3_1 @ X82 ) )
    | ~ ( c3_1 @ a739 ) ),
    inference(split,[status(esa)],[zip_derived_cl1979]) ).

thf(zip_derived_cl621_147,plain,
    ( ( c2_1 @ a739 )
   <= ( c2_1 @ a739 ) ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf(zip_derived_cl355_148,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_cl40]) ).

thf(zip_derived_cl1606,plain,
    ( ( ( c0_1 @ a739 )
      | ~ ( c3_1 @ a739 ) )
   <= ( ! [X41: $i] :
          ( ( c0_1 @ X41 )
          | ~ ( c2_1 @ X41 )
          | ~ ( c3_1 @ X41 ) )
      & ( c2_1 @ a739 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl621,zip_derived_cl355]) ).

thf('229',plain,
    ( ( c0_1 @ a739 )
    | ~ ( c2_1 @ a739 )
    | ~ ! [X41: $i] :
          ( ( c0_1 @ X41 )
          | ~ ( c2_1 @ X41 )
          | ~ ( c3_1 @ X41 ) )
    | ~ ( c3_1 @ a739 ) ),
    inference(split,[status(esa)],[zip_derived_cl1606]) ).

thf(zip_derived_cl623_149,plain,
    ( ( c3_1 @ a739 )
   <= ( c3_1 @ a739 ) ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl300_150,plain,
    ( ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c3_1 @ X19 ) )
   <= ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c3_1 @ X19 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl1576,plain,
    ( ( ( c1_1 @ a739 )
      | ~ ( c0_1 @ a739 ) )
   <= ( ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c0_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
      & ( c3_1 @ a739 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl623,zip_derived_cl300]) ).

thf('230',plain,
    ( ~ ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c0_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
    | ~ ( c3_1 @ a739 )
    | ( c1_1 @ a739 )
    | ~ ( c0_1 @ a739 ) ),
    inference(split,[status(esa)],[zip_derived_cl1576]) ).

thf('231',plain,
    ( ( c2_1 @ a739 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf('232',plain,
    ( ( c3_1 @ a739 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl135,plain,
    ( ~ hskp18
    | ~ ( c1_1 @ a739 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('233',plain,
    ( ~ ( c1_1 @ a739 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl135]) ).

thf(zip_derived_cl73,plain,
    ! [X101: $i,X102: $i,X103: $i] :
      ( ( c0_1 @ X101 )
      | ( c1_1 @ X101 )
      | ~ ( c2_1 @ X101 )
      | ~ ndr1_0
      | ( c0_1 @ X102 )
      | ( c1_1 @ X102 )
      | ~ ( c3_1 @ X102 )
      | ~ ndr1_0
      | ( c0_1 @ X103 )
      | ~ ( c2_1 @ X103 )
      | ~ ( c3_1 @ X103 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('234',plain,
    ( ! [X41: $i] :
        ( ( c0_1 @ X41 )
        | ~ ( c2_1 @ X41 )
        | ~ ( c3_1 @ X41 ) )
    | ! [X92: $i] :
        ( ( c0_1 @ X92 )
        | ( c1_1 @ X92 )
        | ~ ( c2_1 @ X92 ) )
    | ~ ndr1_0
    | ! [X82: $i] :
        ( ( c0_1 @ X82 )
        | ( c1_1 @ X82 )
        | ~ ( c3_1 @ X82 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl73]) ).

thf('235',plain,
    ( ( c0_1 @ a732 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf(zip_derived_cl142,plain,
    ( ~ hskp16
    | ( c3_1 @ a732 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('236',plain,
    ( ( c3_1 @ a732 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf(zip_derived_cl143,plain,
    ( ~ hskp16
    | ~ ( c1_1 @ a732 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('237',plain,
    ( ~ ( c1_1 @ a732 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(zip_derived_cl639,plain,
    ( ( c3_1 @ a732 )
   <= ( c3_1 @ a732 ) ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf(zip_derived_cl300_151,plain,
    ( ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c3_1 @ X19 ) )
   <= ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c3_1 @ X19 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl1578,plain,
    ( ( ( c1_1 @ a732 )
      | ~ ( c0_1 @ a732 ) )
   <= ( ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c0_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
      & ( c3_1 @ a732 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl639,zip_derived_cl300]) ).

thf('238',plain,
    ( ~ ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c0_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
    | ~ ( c3_1 @ a732 )
    | ( c1_1 @ a732 )
    | ~ ( c0_1 @ a732 ) ),
    inference(split,[status(esa)],[zip_derived_cl1578]) ).

thf(zip_derived_cl407_152,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_cl53]) ).

thf(zip_derived_cl705_153,plain,
    ( ~ ( c2_1 @ a718 )
   <= ~ ( c2_1 @ a718 ) ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl2046,plain,
    ( ( ~ ( c3_1 @ a718 )
      | ( c0_1 @ a718 ) )
   <= ( ~ ( c2_1 @ a718 )
      & ! [X62: $i] :
          ( ( c0_1 @ X62 )
          | ( c2_1 @ X62 )
          | ~ ( c3_1 @ X62 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl407,zip_derived_cl705]) ).

thf('239',plain,
    ( ~ ! [X62: $i] :
          ( ( c0_1 @ X62 )
          | ( c2_1 @ X62 )
          | ~ ( c3_1 @ X62 ) )
    | ~ ( c3_1 @ a718 )
    | ( c0_1 @ a718 )
    | ( c2_1 @ a718 ) ),
    inference(split,[status(esa)],[zip_derived_cl2046]) ).

thf(zip_derived_cl2,plain,
    ( hskp9
    | hskp20
    | hskp18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('240',plain,
    ( hskp9
    | hskp20
    | hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl280_154,plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c1_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c1_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl727_155,plain,
    ( ~ ( c2_1 @ a713 )
   <= ~ ( c2_1 @ a713 ) ),
    inference(split,[status(esa)],[zip_derived_cl186]) ).

thf(zip_derived_cl981,plain,
    ( ( ~ ( c1_1 @ a713 )
      | ( c3_1 @ a713 ) )
   <= ( ~ ( c2_1 @ a713 )
      & ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c3_1 @ X12 )
          | ~ ( c1_1 @ X12 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl280,zip_derived_cl727]) ).

thf('241',plain,
    ( ( c3_1 @ a713 )
    | ~ ( c1_1 @ a713 )
    | ~ ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c3_1 @ X12 )
          | ~ ( c1_1 @ X12 ) )
    | ( c2_1 @ a713 ) ),
    inference(split,[status(esa)],[zip_derived_cl981]) ).

thf(zip_derived_cl185,plain,
    ( ~ hskp5
    | ~ ( c0_1 @ a713 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('242',plain,
    ( ~ hskp5
    | ~ ( c0_1 @ a713 ) ),
    inference(split,[status(esa)],[zip_derived_cl185]) ).

thf('243',plain,
    ( ~ hskp5
    | ~ ( c2_1 @ a713 ) ),
    inference(split,[status(esa)],[zip_derived_cl186]) ).

thf(zip_derived_cl187,plain,
    ( ~ hskp5
    | ~ ( c3_1 @ a713 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('244',plain,
    ( ~ hskp5
    | ~ ( c3_1 @ a713 ) ),
    inference(split,[status(esa)],[zip_derived_cl187]) ).

thf(zip_derived_cl492_156,plain,
    ( ! [X104: $i] :
        ( ( c0_1 @ X104 )
        | ( c1_1 @ X104 )
        | ( c3_1 @ X104 ) )
   <= ! [X104: $i] :
        ( ( c0_1 @ X104 )
        | ( c1_1 @ X104 )
        | ( c3_1 @ X104 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl74]) ).

thf(zip_derived_cl729,plain,
    ( ~ ( c3_1 @ a713 )
   <= ~ ( c3_1 @ a713 ) ),
    inference(split,[status(esa)],[zip_derived_cl187]) ).

thf(zip_derived_cl2310,plain,
    ( ( ( c1_1 @ a713 )
      | ( c0_1 @ a713 ) )
   <= ( ~ ( c3_1 @ a713 )
      & ! [X104: $i] :
          ( ( c0_1 @ X104 )
          | ( c1_1 @ X104 )
          | ( c3_1 @ X104 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl492,zip_derived_cl729]) ).

thf('245',plain,
    ( ( c1_1 @ a713 )
    | ( c3_1 @ a713 )
    | ~ ! [X104: $i] :
          ( ( c0_1 @ X104 )
          | ( c1_1 @ X104 )
          | ( c3_1 @ X104 ) )
    | ( c0_1 @ a713 ) ),
    inference(split,[status(esa)],[zip_derived_cl2310]) ).

thf(zip_derived_cl125,plain,
    ( ~ hskp20
    | ( c1_1 @ a747 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('246',plain,
    ( ( c1_1 @ a747 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl125]) ).

thf(zip_derived_cl126,plain,
    ( ~ hskp20
    | ~ ( c2_1 @ a747 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('247',plain,
    ( ~ hskp20
    | ~ ( c2_1 @ a747 ) ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf('248',plain,
    ( ~ hskp20
    | ~ ( c3_1 @ a747 ) ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl280_157,plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c1_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c1_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl607,plain,
    ( ~ ( c2_1 @ a747 )
   <= ~ ( c2_1 @ a747 ) ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl987,plain,
    ( ( ~ ( c1_1 @ a747 )
      | ( c3_1 @ a747 ) )
   <= ( ~ ( c2_1 @ a747 )
      & ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c3_1 @ X12 )
          | ~ ( c1_1 @ X12 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl280,zip_derived_cl607]) ).

thf('249',plain,
    ( ( c2_1 @ a747 )
    | ( c3_1 @ a747 )
    | ~ ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c3_1 @ X12 )
          | ~ ( c1_1 @ X12 ) )
    | ~ ( c1_1 @ a747 ) ),
    inference(split,[status(esa)],[zip_derived_cl987]) ).

thf(zip_derived_cl77,plain,
    ! [X111: $i,X112: $i,X113: $i] :
      ( ( c0_1 @ X111 )
      | ( c1_1 @ X111 )
      | ( c3_1 @ X111 )
      | ~ ndr1_0
      | ( c0_1 @ X112 )
      | ( c1_1 @ X112 )
      | ~ ( c2_1 @ X112 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X113 )
      | ~ ( c2_1 @ X113 )
      | ~ ( c3_1 @ X113 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('250',plain,
    ( ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 )
        | ~ ( c3_1 @ X4 ) )
    | ! [X92: $i] :
        ( ( c0_1 @ X92 )
        | ( c1_1 @ X92 )
        | ~ ( c2_1 @ X92 ) )
    | ~ ndr1_0
    | ! [X104: $i] :
        ( ( c0_1 @ X104 )
        | ( c1_1 @ X104 )
        | ( c3_1 @ X104 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl77]) ).

thf(zip_derived_cl72,plain,
    ! [X98: $i,X99: $i,X100: $i] :
      ( ( c0_1 @ X98 )
      | ( c1_1 @ X98 )
      | ~ ( c2_1 @ X98 )
      | ~ ndr1_0
      | ( c0_1 @ X99 )
      | ( c1_1 @ X99 )
      | ~ ( c3_1 @ X99 )
      | ~ ndr1_0
      | ( c2_1 @ X100 )
      | ( c3_1 @ X100 )
      | ~ ( c1_1 @ X100 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('251',plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c1_1 @ X12 ) )
    | ! [X92: $i] :
        ( ( c0_1 @ X92 )
        | ( c1_1 @ X92 )
        | ~ ( c2_1 @ X92 ) )
    | ~ ndr1_0
    | ! [X82: $i] :
        ( ( c0_1 @ X82 )
        | ( c1_1 @ X82 )
        | ~ ( c3_1 @ X82 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl72]) ).

thf(zip_derived_cl120,plain,
    ( ~ hskp21
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('252',plain,
    ( ndr1_0
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl120]) ).

thf(zip_derived_cl180,plain,
    ( ~ hskp6
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('253',plain,
    ( ndr1_0
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl180]) ).

thf(zip_derived_cl200,plain,
    ( ~ hskp1
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('254',plain,
    ( ndr1_0
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl200]) ).

thf(zip_derived_cl8,plain,
    ( hskp6
    | hskp1
    | hskp21 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('255',plain,
    ( hskp6
    | hskp1
    | hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl33,plain,
    ! [X29: $i,X30: $i] :
      ( ( c1_1 @ X29 )
      | ( c2_1 @ X29 )
      | ~ ( c3_1 @ X29 )
      | ~ ndr1_0
      | ( c3_1 @ X30 )
      | ~ ( c1_1 @ X30 )
      | ~ ( c2_1 @ X30 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('256',plain,
    ( ! [X0: $i] :
        ( ( c3_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
    | ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ( c2_1 @ X28 )
        | ~ ( c3_1 @ X28 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl86,plain,
    ( ~ hskp30
    | ( c2_1 @ a714 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('257',plain,
    ( ( c2_1 @ a714 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf(zip_derived_cl85,plain,
    ( ~ hskp30
    | ( c0_1 @ a714 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('258',plain,
    ( ( c0_1 @ a714 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf('259',plain,
    ( ( c3_1 @ a714 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl527,plain,
    ( ( c2_1 @ a714 )
   <= ( c2_1 @ a714 ) ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf(zip_derived_cl256_158,plain,
    ( ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 )
        | ~ ( c3_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 )
        | ~ ( c3_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl1421,plain,
    ( ( ~ ( c0_1 @ a714 )
      | ~ ( c3_1 @ a714 ) )
   <= ( ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c2_1 @ X4 )
          | ~ ( c3_1 @ X4 ) )
      & ( c2_1 @ a714 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl527,zip_derived_cl256]) ).

thf('260',plain,
    ( ~ ( c0_1 @ a714 )
    | ~ ( c2_1 @ a714 )
    | ~ ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c2_1 @ X4 )
          | ~ ( c3_1 @ X4 ) )
    | ~ ( c3_1 @ a714 ) ),
    inference(split,[status(esa)],[zip_derived_cl1421]) ).

thf('261',plain,
    ( ! [X88: $i] :
        ( ( c1_1 @ X88 )
        | ~ ( c0_1 @ X88 )
        | ~ ( c2_1 @ X88 ) )
    | hskp30
    | ! [X82: $i] :
        ( ( c0_1 @ X82 )
        | ( c1_1 @ X82 )
        | ~ ( c3_1 @ X82 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl67]) ).

thf(zip_derived_cl1791_159,plain,
    ( ! [X0: $i] :
        ( ( c1_1 @ X0 )
        | ~ ( c0_1 @ X0 ) )
   <= ( ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ( c2_1 @ X33 )
          | ~ ( c0_1 @ X33 ) )
      & ! [X88: $i] :
          ( ( c1_1 @ X88 )
          | ~ ( c0_1 @ X88 )
          | ~ ( c2_1 @ X88 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1774]) ).

thf(zip_derived_cl735,plain,
    ( ~ ( c1_1 @ a711 )
   <= ~ ( c1_1 @ a711 ) ),
    inference(split,[status(esa)],[zip_derived_cl190]) ).

thf(zip_derived_cl4162,plain,
    ( ~ ( c0_1 @ a711 )
   <= ( ~ ( c1_1 @ a711 )
      & ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ( c2_1 @ X33 )
          | ~ ( c0_1 @ X33 ) )
      & ! [X88: $i] :
          ( ( c1_1 @ X88 )
          | ~ ( c0_1 @ X88 )
          | ~ ( c2_1 @ X88 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1791,zip_derived_cl735]) ).

thf(zip_derived_cl733_160,plain,
    ( ( c0_1 @ a711 )
   <= ( c0_1 @ a711 ) ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf('262',plain,
    ( ~ ! [X88: $i] :
          ( ( c1_1 @ X88 )
          | ~ ( c0_1 @ X88 )
          | ~ ( c2_1 @ X88 ) )
    | ~ ( c0_1 @ a711 )
    | ~ ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ( c2_1 @ X33 )
          | ~ ( c0_1 @ X33 ) )
    | ( c1_1 @ a711 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl4162,zip_derived_cl733]) ).

thf(zip_derived_cl34205,plain,
    $false,
    inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6','7','8','9','10','11','12','13','14','15','16','17','18','19','20','21','22','23','24','25','26','27','28','29','30','31','32','33','34','35','36','37','38','39','40','41','42','43','44','45','46','47','48','49','50','51','52','53','54','55','56','57','58','59','60','61','62','63','64','65','66','67','68','69','70','71','72','73','74','75','76','77','78','79','80','81','82','83','84','85','86','87','88','89','90','91','92','93','94','95','96','97','98','99','100','101','102','103','104','105','106','107','108','109','110','111','112','113','114','115','116','117','118','119','120','121','122','123','124','125','126','127','128','129','130','131','132','133','134','135','136','137','138','139','140','141','142','143','144','145','146','147','148','149','150','151','152','153','154','155','156','157','158','159','160','161','162','163','164','165','166','167','168','169','170','171','172','173','174','175','176','177','178','179','180','181','182','183','184','185','186','187','188','189','190','191','192','193','194','195','196','197','198','199','200','201','202','203','204','205','206','207','208','209','210','211','212','213','214','215','216','217','218','219','220','221','222','223','224','225','226','227','228','229','230','231','232','233','234','235','236','237','238','239','240','241','242','243','244','245','246','247','248','249','250','251','252','253','254','255','256','257','258','259','260','261','262']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SYN508+1 : TPTP v8.1.2. Released v2.1.0.
% 0.08/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.1mr8eS0nUo true
% 0.13/0.35  % Computer : n007.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Sat Aug 26 17:38:26 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.21/0.67  % Total configuration time : 435
% 0.21/0.67  % Estimated wc time : 1092
% 0.21/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.94/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.09/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.09/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.09/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.09/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.09/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.09/0.75  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 30.31/4.92  % Solved by fo/fo1_av.sh.
% 30.31/4.92  % done 8261 iterations in 4.116s
% 30.31/4.92  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 30.31/4.92  % SZS output start Refutation
% See solution above
% 30.45/4.93  
% 30.45/4.93  
% 30.45/4.93  % Terminating...
% 30.45/4.98  % Runner terminated.
% 30.45/4.99  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------