TSTP Solution File: SYN473+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN473+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.hyGfdc7M8X true

% Computer : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep  1 04:03:52 EDT 2023

% Result   : Theorem 8.77s 1.93s
% Output   : Refutation 8.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   68
% Syntax   : Number of formulae    :  721 (   1 unt;  67 typ;   0 def)
%            Number of atoms       : 4414 (   0 equ;   0 cnn)
%            Maximal formula atoms :  704 (   6 avg)
%            Number of connectives : 9513 (2356   ~;2767   |; 489   &;3397   @)
%                                         (   0 <=>; 222  =>; 282  <=;   0 <~>)
%            Maximal formula depth :  106 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   68 (  67 usr;  64 con; 0-1 aty)
%            Number of variables   :  775 (   0   ^; 775   !;   0   ?; 775   :)

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

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

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

thf(a867_type,type,
    a867: $i ).

thf(a808_type,type,
    a808: $i ).

thf(a856_type,type,
    a856: $i ).

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

thf(a821_type,type,
    a821: $i ).

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

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

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

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

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

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

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

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

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

thf(a799_type,type,
    a799: $i ).

thf(a832_type,type,
    a832: $i ).

thf(a840_type,type,
    a840: $i ).

thf(a829_type,type,
    a829: $i ).

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

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

thf(a794_type,type,
    a794: $i ).

thf(a807_type,type,
    a807: $i ).

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

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(hskp17_type,type,
    hskp17: $o ).

thf(a806_type,type,
    a806: $i ).

thf(a809_type,type,
    a809: $i ).

thf(a828_type,type,
    a828: $i ).

thf(a838_type,type,
    a838: $i ).

thf(a869_type,type,
    a869: $i ).

thf(a825_type,type,
    a825: $i ).

thf(a817_type,type,
    a817: $i ).

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

thf(a833_type,type,
    a833: $i ).

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

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

thf(a803_type,type,
    a803: $i ).

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

thf(a865_type,type,
    a865: $i ).

thf(a805_type,type,
    a805: $i ).

thf(a814_type,type,
    a814: $i ).

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

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

thf(a816_type,type,
    a816: $i ).

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

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

thf(a800_type,type,
    a800: $i ).

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

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

thf(a862_type,type,
    a862: $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(a795_type,type,
    a795: $i ).

thf(a796_type,type,
    a796: $i ).

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

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

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

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

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

thf(co1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & ( c0_1 @ a793 )
          & ( c2_1 @ a793 )
          & ~ ( c1_1 @ a793 ) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & ( c3_1 @ a794 )
          & ~ ( c0_1 @ a794 )
          & ~ ( c2_1 @ a794 ) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & ~ ( c0_1 @ a795 )
          & ~ ( c1_1 @ a795 )
          & ~ ( c3_1 @ a795 ) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & ( c0_1 @ a798 )
          & ( c2_1 @ a798 )
          & ~ ( c3_1 @ a798 ) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & ( c0_1 @ a799 )
          & ( c3_1 @ a799 )
          & ~ ( c1_1 @ a799 ) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & ( c3_1 @ a800 )
          & ~ ( c0_1 @ a800 )
          & ~ ( c1_1 @ a800 ) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & ( c2_1 @ a802 )
          & ~ ( c0_1 @ a802 )
          & ~ ( c1_1 @ a802 ) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & ( c1_1 @ a803 )
          & ( c3_1 @ a803 )
          & ~ ( c2_1 @ a803 ) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & ( c1_1 @ a805 )
          & ~ ( c2_1 @ a805 )
          & ~ ( c3_1 @ a805 ) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & ( c0_1 @ a806 )
          & ( c1_1 @ a806 )
          & ~ ( c3_1 @ a806 ) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & ~ ( c0_1 @ a807 )
          & ~ ( c2_1 @ a807 )
          & ~ ( c3_1 @ a807 ) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & ( c3_1 @ a808 )
          & ~ ( c1_1 @ a808 )
          & ~ ( c2_1 @ a808 ) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & ( c1_1 @ a809 )
          & ( c2_1 @ a809 )
          & ~ ( c0_1 @ a809 ) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & ( c1_1 @ a814 )
          & ~ ( c0_1 @ a814 )
          & ~ ( c3_1 @ a814 ) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & ( c0_1 @ a816 )
          & ~ ( c1_1 @ a816 )
          & ~ ( c2_1 @ a816 ) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & ( c2_1 @ a817 )
          & ( c3_1 @ a817 )
          & ~ ( c1_1 @ a817 ) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & ~ ( c0_1 @ a821 )
          & ~ ( c1_1 @ a821 )
          & ~ ( c2_1 @ a821 ) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & ( c0_1 @ a825 )
          & ( c1_1 @ a825 )
          & ~ ( c2_1 @ a825 ) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & ~ ( c1_1 @ a828 )
          & ~ ( c2_1 @ a828 )
          & ~ ( c3_1 @ a828 ) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & ( c2_1 @ a832 )
          & ~ ( c1_1 @ a832 )
          & ~ ( c3_1 @ a832 ) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & ( c1_1 @ a833 )
          & ~ ( c0_1 @ a833 )
          & ~ ( c2_1 @ a833 ) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & ( c0_1 @ a838 )
          & ( c3_1 @ a838 )
          & ~ ( c2_1 @ a838 ) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & ( c1_1 @ a840 )
          & ( c3_1 @ a840 )
          & ~ ( c0_1 @ a840 ) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & ( c0_1 @ a856 )
          & ~ ( c2_1 @ a856 )
          & ~ ( c3_1 @ a856 ) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & ( c0_1 @ a862 )
          & ~ ( c1_1 @ a862 )
          & ~ ( c3_1 @ a862 ) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & ( c1_1 @ a865 )
          & ( c2_1 @ a865 )
          & ~ ( c3_1 @ a865 ) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & ( c2_1 @ a869 )
          & ( c3_1 @ a869 )
          & ~ ( c0_1 @ a869 ) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & ( c0_1 @ a796 )
          & ( c2_1 @ a796 )
          & ( c3_1 @ a796 ) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & ( c1_1 @ a797 )
          & ( c2_1 @ a797 )
          & ( c3_1 @ a797 ) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & ( c0_1 @ a829 )
          & ( c1_1 @ a829 )
          & ( c2_1 @ a829 ) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & ( c0_1 @ a867 )
          & ( c1_1 @ a867 )
          & ( c3_1 @ a867 ) ) )
      & ( ! [U: $i] :
            ( ndr1_0
           => ( ( c0_1 @ U )
              | ( c1_1 @ U )
              | ( c2_1 @ U ) ) )
        | ! [V: $i] :
            ( ndr1_0
           => ( ( c0_1 @ V )
              | ( c2_1 @ V )
              | ( c3_1 @ V ) ) )
        | ! [W: $i] :
            ( ndr1_0
           => ( ( c3_1 @ W )
              | ~ ( c1_1 @ W )
              | ~ ( c2_1 @ W ) ) ) )
      & ( ! [X: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X )
              | ( c1_1 @ X )
              | ( c2_1 @ X ) ) )
        | ! [Y: $i] :
            ( ndr1_0
           => ( ( c3_1 @ Y )
              | ~ ( c0_1 @ Y )
              | ~ ( c2_1 @ Y ) ) )
        | hskp0 )
      & ( ! [Z: $i] :
            ( ndr1_0
           => ( ( c0_1 @ Z )
              | ( c1_1 @ Z )
              | ( c2_1 @ Z ) ) )
        | hskp1
        | hskp2 )
      & ( ! [X1: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X1 )
              | ( c1_1 @ X1 )
              | ( c3_1 @ X1 ) ) )
        | ! [X2: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X2 )
              | ~ ( c1_1 @ X2 )
              | ~ ( c2_1 @ X2 ) ) )
        | ! [X3: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X3 )
              | ( c3_1 @ X3 )
              | ~ ( c2_1 @ X3 ) ) ) )
      & ( ! [X4: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X4 )
              | ( c1_1 @ X4 )
              | ( c3_1 @ X4 ) ) )
        | hskp27
        | hskp28 )
      & ( ! [X5: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X5 )
              | ( c1_1 @ X5 )
              | ( c3_1 @ X5 ) ) )
        | hskp3
        | hskp4 )
      & ( ! [X6: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X6 )
              | ( c1_1 @ X6 )
              | ~ ( c3_1 @ X6 ) ) )
        | ! [X7: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X7 )
              | ( c3_1 @ X7 )
              | ~ ( c2_1 @ X7 ) ) )
        | hskp5 )
      & ( ! [X8: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X8 )
              | ( c1_1 @ X8 )
              | ~ ( c3_1 @ X8 ) ) )
        | ! [X9: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X9 )
              | ( c3_1 @ X9 )
              | ~ ( c2_1 @ X9 ) ) )
        | hskp4 )
      & ( ! [X10: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X10 )
              | ( c1_1 @ X10 )
              | ~ ( c3_1 @ X10 ) ) )
        | ! [X11: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X11 )
              | ~ ( c0_1 @ X11 )
              | ~ ( c2_1 @ X11 ) ) )
        | ! [X12: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X12 )
              | ~ ( c0_1 @ X12 )
              | ~ ( c1_1 @ X12 ) ) ) )
      & ( ! [X13: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X13 )
              | ( c1_1 @ X13 )
              | ~ ( c3_1 @ X13 ) ) )
        | ! [X14: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X14 )
              | ~ ( c1_1 @ X14 )
              | ~ ( c3_1 @ X14 ) ) )
        | hskp6 )
      & ( ! [X15: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X15 )
              | ( c1_1 @ X15 )
              | ~ ( c3_1 @ X15 ) ) )
        | ! [X16: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X16 )
              | ~ ( c2_1 @ X16 )
              | ~ ( c3_1 @ X16 ) ) )
        | hskp7 )
      & ( ! [X17: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X17 )
              | ( c1_1 @ X17 )
              | ~ ( c3_1 @ X17 ) ) )
        | hskp4
        | hskp8 )
      & ( ! [X18: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X18 )
              | ( c2_1 @ X18 )
              | ( c3_1 @ X18 ) ) )
        | ! [X19: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X19 )
              | ~ ( c1_1 @ X19 )
              | ~ ( c3_1 @ X19 ) ) )
        | ! [X20: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X20 )
              | ~ ( c0_1 @ X20 )
              | ~ ( c1_1 @ X20 ) ) ) )
      & ( ! [X21: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X21 )
              | ( c2_1 @ X21 )
              | ( c3_1 @ X21 ) ) )
        | ! [X22: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X22 )
              | ( c2_1 @ X22 )
              | ~ ( c3_1 @ X22 ) ) )
        | ! [X23: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X23 )
              | ( c3_1 @ X23 )
              | ~ ( c0_1 @ X23 ) ) ) )
      & ( ! [X24: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X24 )
              | ( c2_1 @ X24 )
              | ( c3_1 @ X24 ) ) )
        | hskp9
        | hskp10 )
      & ( ! [X25: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X25 )
              | ( c2_1 @ X25 )
              | ~ ( c3_1 @ X25 ) ) )
        | ! [X26: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X26 )
              | ( c3_1 @ X26 )
              | ~ ( c1_1 @ X26 ) ) )
        | hskp11 )
      & ( ! [X27: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X27 )
              | ( c2_1 @ X27 )
              | ~ ( c3_1 @ X27 ) ) )
        | ! [X28: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X28 )
              | ( c3_1 @ X28 )
              | ~ ( c2_1 @ X28 ) ) )
        | hskp12 )
      & ( ! [X29: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X29 )
              | ( c2_1 @ X29 )
              | ~ ( c3_1 @ X29 ) ) )
        | ! [X30: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X30 )
              | ~ ( c1_1 @ X30 )
              | ~ ( c2_1 @ X30 ) ) )
        | ! [X31: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X31 )
              | ~ ( c0_1 @ X31 )
              | ~ ( c2_1 @ X31 ) ) ) )
      & ( ! [X32: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X32 )
              | ( c2_1 @ X32 )
              | ~ ( c3_1 @ X32 ) ) )
        | ! [X33: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X33 )
              | ~ ( c1_1 @ X33 )
              | ~ ( c3_1 @ X33 ) ) )
        | ! [X34: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X34 )
              | ~ ( c1_1 @ X34 )
              | ~ ( c2_1 @ X34 ) ) ) )
      & ( ! [X35: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X35 )
              | ( c2_1 @ X35 )
              | ~ ( c3_1 @ X35 ) ) )
        | ! [X36: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X36 )
              | ~ ( c0_1 @ X36 )
              | ~ ( c1_1 @ X36 ) ) )
        | hskp9 )
      & ( ! [X37: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X37 )
              | ( c2_1 @ X37 )
              | ~ ( c3_1 @ X37 ) ) )
        | hskp1
        | hskp10 )
      & ( ! [X38: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X38 )
              | ( c3_1 @ X38 )
              | ~ ( c1_1 @ X38 ) ) )
        | ! [X39: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X39 )
              | ~ ( c2_1 @ X39 )
              | ~ ( c3_1 @ X39 ) ) )
        | ! [X40: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X40 )
              | ~ ( c2_1 @ X40 )
              | ~ ( c3_1 @ X40 ) ) ) )
      & ( ! [X41: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X41 )
              | ( c3_1 @ X41 )
              | ~ ( c1_1 @ X41 ) ) )
        | ! [X42: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X42 )
              | ( c3_1 @ X42 )
              | ~ ( c1_1 @ X42 ) ) )
        | hskp3 )
      & ( ! [X43: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X43 )
              | ( c3_1 @ X43 )
              | ~ ( c1_1 @ X43 ) ) )
        | hskp13
        | hskp6 )
      & ( ! [X44: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X44 )
              | ( c3_1 @ X44 )
              | ~ ( c2_1 @ X44 ) ) )
        | ! [X45: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X45 )
              | ~ ( c1_1 @ X45 )
              | ~ ( c3_1 @ X45 ) ) )
        | hskp14 )
      & ( ! [X46: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X46 )
              | ( c3_1 @ X46 )
              | ~ ( c2_1 @ X46 ) ) )
        | ! [X47: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X47 )
              | ~ ( c1_1 @ X47 )
              | ~ ( c3_1 @ X47 ) ) )
        | ! [X48: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X48 )
              | ~ ( c0_1 @ X48 )
              | ~ ( c1_1 @ X48 ) ) ) )
      & ( ! [X49: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X49 )
              | ( c3_1 @ X49 )
              | ~ ( c2_1 @ X49 ) ) )
        | ! [X50: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X50 )
              | ~ ( c2_1 @ X50 )
              | ~ ( c3_1 @ X50 ) ) )
        | hskp15 )
      & ( ! [X51: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X51 )
              | ( c3_1 @ X51 )
              | ~ ( c2_1 @ X51 ) ) )
        | hskp0
        | hskp5 )
      & ( ! [X52: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X52 )
              | ( c3_1 @ X52 )
              | ~ ( c2_1 @ X52 ) ) )
        | hskp13
        | hskp16 )
      & ( ! [X53: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X53 )
              | ~ ( c1_1 @ X53 )
              | ~ ( c2_1 @ X53 ) ) )
        | ! [X54: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X54 )
              | ~ ( c0_1 @ X54 )
              | ~ ( c3_1 @ X54 ) ) )
        | hskp14 )
      & ( ! [X55: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X55 )
              | ~ ( c1_1 @ X55 )
              | ~ ( c2_1 @ X55 ) ) )
        | ! [X56: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X56 )
              | ~ ( c0_1 @ X56 )
              | ~ ( c3_1 @ X56 ) ) )
        | hskp13 )
      & ( ! [X57: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X57 )
              | ~ ( c1_1 @ X57 )
              | ~ ( c2_1 @ X57 ) ) )
        | ! [X58: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X58 )
              | ( c3_1 @ X58 )
              | ~ ( c1_1 @ X58 ) ) )
        | ! [X59: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X59 )
              | ~ ( c0_1 @ X59 )
              | ~ ( c1_1 @ X59 ) ) ) )
      & ( ! [X60: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X60 )
              | ~ ( c1_1 @ X60 )
              | ~ ( c3_1 @ X60 ) ) )
        | ! [X61: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X61 )
              | ~ ( c2_1 @ X61 )
              | ~ ( c3_1 @ X61 ) ) )
        | hskp8 )
      & ( ! [X62: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X62 )
              | ~ ( c1_1 @ X62 )
              | ~ ( c3_1 @ X62 ) ) )
        | hskp17
        | hskp0 )
      & ( ! [X63: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X63 )
              | ~ ( c1_1 @ X63 )
              | ~ ( c3_1 @ X63 ) ) )
        | hskp14
        | hskp18 )
      & ( ! [X64: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X64 )
              | ~ ( c2_1 @ X64 )
              | ~ ( c3_1 @ X64 ) ) )
        | ! [X65: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X65 )
              | ~ ( c1_1 @ X65 )
              | ~ ( c2_1 @ X65 ) ) )
        | ! [X66: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X66 )
              | ~ ( c1_1 @ X66 )
              | ~ ( c3_1 @ X66 ) ) ) )
      & ( ! [X67: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X67 )
              | ~ ( c2_1 @ X67 )
              | ~ ( c3_1 @ X67 ) ) )
        | hskp29
        | hskp9 )
      & ( ! [X68: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X68 )
              | ( c2_1 @ X68 )
              | ( c3_1 @ X68 ) ) )
        | ! [X69: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X69 )
              | ( c2_1 @ X69 )
              | ~ ( c0_1 @ X69 ) ) )
        | hskp29 )
      & ( ! [X70: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X70 )
              | ( c2_1 @ X70 )
              | ( c3_1 @ X70 ) ) )
        | ! [X71: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X71 )
              | ~ ( c1_1 @ X71 )
              | ~ ( c3_1 @ X71 ) ) )
        | hskp19 )
      & ( ! [X72: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X72 )
              | ( c2_1 @ X72 )
              | ( c3_1 @ X72 ) ) )
        | hskp20
        | hskp2 )
      & ( ! [X73: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X73 )
              | ( c2_1 @ X73 )
              | ~ ( c0_1 @ X73 ) ) )
        | ! [X74: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X74 )
              | ( c3_1 @ X74 )
              | ~ ( c1_1 @ X74 ) ) )
        | hskp29 )
      & ( ! [X75: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X75 )
              | ( c2_1 @ X75 )
              | ~ ( c0_1 @ X75 ) ) )
        | hskp20
        | hskp1 )
      & ( ! [X76: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X76 )
              | ( c2_1 @ X76 )
              | ~ ( c3_1 @ X76 ) ) )
        | hskp21
        | hskp18 )
      & ( ! [X77: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X77 )
              | ( c3_1 @ X77 )
              | ~ ( c0_1 @ X77 ) ) )
        | ! [X78: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X78 )
              | ~ ( c1_1 @ X78 )
              | ~ ( c3_1 @ X78 ) ) )
        | hskp22 )
      & ( ! [X79: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X79 )
              | ( c3_1 @ X79 )
              | ~ ( c2_1 @ X79 ) ) )
        | hskp0
        | hskp21 )
      & ( ! [X80: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X80 )
              | ~ ( c2_1 @ X80 )
              | ~ ( c3_1 @ X80 ) ) )
        | ! [X81: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X81 )
              | ~ ( c1_1 @ X81 )
              | ~ ( c3_1 @ X81 ) ) )
        | hskp28 )
      & ( ! [X82: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X82 )
              | ( c3_1 @ X82 )
              | ~ ( c1_1 @ X82 ) ) )
        | ! [X83: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X83 )
              | ~ ( c0_1 @ X83 )
              | ~ ( c3_1 @ X83 ) ) )
        | ! [X84: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X84 )
              | ~ ( c0_1 @ X84 )
              | ~ ( c2_1 @ X84 ) ) ) )
      & ( ! [X85: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X85 )
              | ( c3_1 @ X85 )
              | ~ ( c1_1 @ X85 ) ) )
        | ! [X86: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X86 )
              | ~ ( c1_1 @ X86 )
              | ~ ( c3_1 @ X86 ) ) )
        | hskp12 )
      & ( ! [X87: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X87 )
              | ( c3_1 @ X87 )
              | ~ ( c1_1 @ X87 ) ) )
        | hskp17
        | hskp8 )
      & ( ! [X88: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X88 )
              | ( c3_1 @ X88 )
              | ~ ( c1_1 @ X88 ) ) )
        | hskp28
        | hskp19 )
      & ( ! [X89: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X89 )
              | ( c3_1 @ X89 )
              | ~ ( c1_1 @ X89 ) ) )
        | hskp13
        | hskp1 )
      & ( ! [X90: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X90 )
              | ~ ( c0_1 @ X90 )
              | ~ ( c1_1 @ X90 ) ) )
        | ! [X91: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X91 )
              | ~ ( c0_1 @ X91 )
              | ~ ( c3_1 @ X91 ) ) )
        | hskp28 )
      & ( ! [X92: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X92 )
              | ~ ( c0_1 @ X92 )
              | ~ ( c1_1 @ X92 ) ) )
        | hskp4
        | hskp28 )
      & ( ! [X93: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X93 )
              | ~ ( c0_1 @ X93 )
              | ~ ( c3_1 @ X93 ) ) )
        | hskp9
        | hskp20 )
      & ( ! [X94: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X94 )
              | ~ ( c0_1 @ X94 )
              | ~ ( c1_1 @ X94 ) ) )
        | hskp23
        | hskp13 )
      & ( ! [X95: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X95 )
              | ~ ( c0_1 @ X95 )
              | ~ ( c2_1 @ X95 ) ) )
        | ! [X96: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X96 )
              | ~ ( c1_1 @ X96 )
              | ~ ( c3_1 @ X96 ) ) )
        | hskp5 )
      & ( ! [X97: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X97 )
              | ~ ( c0_1 @ X97 )
              | ~ ( c2_1 @ X97 ) ) )
        | hskp27
        | hskp3 )
      & ( ! [X98: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X98 )
              | ~ ( c1_1 @ X98 )
              | ~ ( c3_1 @ X98 ) ) )
        | hskp14
        | hskp24 )
      & ( ! [X99: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X99 )
              | ~ ( c1_1 @ X99 )
              | ~ ( c3_1 @ X99 ) ) )
        | hskp14
        | hskp22 )
      & ( ! [X100: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X100 )
              | ~ ( c1_1 @ X100 )
              | ~ ( c3_1 @ X100 ) ) )
        | hskp25
        | hskp1 )
      & ( ! [X101: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X101 )
              | ~ ( c2_1 @ X101 )
              | ~ ( c3_1 @ X101 ) ) )
        | hskp30
        | hskp20 )
      & ( ! [X102: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X102 )
              | ~ ( c2_1 @ X102 )
              | ~ ( c3_1 @ X102 ) ) )
        | hskp26
        | hskp11 )
      & ( ! [X103: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X103 )
              | ~ ( c2_1 @ X103 )
              | ~ ( c3_1 @ X103 ) ) )
        | hskp15
        | hskp16 )
      & ( ! [X104: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X104 )
              | ~ ( c2_1 @ X104 )
              | ~ ( c3_1 @ X104 ) ) )
        | hskp27
        | hskp19 )
      & ( ! [X105: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X105 )
              | ~ ( c2_1 @ X105 )
              | ~ ( c3_1 @ X105 ) ) )
        | hskp21
        | hskp11 )
      & ( hskp30
        | hskp28
        | hskp19 )
      & ( hskp9
        | hskp3
        | hskp26 )
      & ( hskp27
        | hskp21
        | hskp28 )
      & ( hskp4
        | hskp24
        | hskp5 )
      & ( hskp4
        | hskp26
        | hskp5 )
      & ( hskp28
        | hskp8
        | hskp10 )
      & ( hskp22
        | hskp1
        | hskp11 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( ~ hskp0
      | ( ndr1_0
        & ( c0_1 @ a793 )
        & ( c2_1 @ a793 )
        & ~ ( c1_1 @ a793 ) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ( c3_1 @ a794 )
        & ~ ( c0_1 @ a794 )
        & ~ ( c2_1 @ a794 ) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ~ ( c0_1 @ a795 )
        & ~ ( c1_1 @ a795 )
        & ~ ( c3_1 @ a795 ) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ( c0_1 @ a798 )
        & ( c2_1 @ a798 )
        & ~ ( c3_1 @ a798 ) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ( c0_1 @ a799 )
        & ( c3_1 @ a799 )
        & ~ ( c1_1 @ a799 ) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ( c3_1 @ a800 )
        & ~ ( c0_1 @ a800 )
        & ~ ( c1_1 @ a800 ) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ( c2_1 @ a802 )
        & ~ ( c0_1 @ a802 )
        & ~ ( c1_1 @ a802 ) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & ( c1_1 @ a803 )
        & ( c3_1 @ a803 )
        & ~ ( c2_1 @ a803 ) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ( c1_1 @ a805 )
        & ~ ( c2_1 @ a805 )
        & ~ ( c3_1 @ a805 ) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ( c0_1 @ a806 )
        & ( c1_1 @ a806 )
        & ~ ( c3_1 @ a806 ) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ~ ( c0_1 @ a807 )
        & ~ ( c2_1 @ a807 )
        & ~ ( c3_1 @ a807 ) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ( c3_1 @ a808 )
        & ~ ( c1_1 @ a808 )
        & ~ ( c2_1 @ a808 ) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ( c1_1 @ a809 )
        & ( c2_1 @ a809 )
        & ~ ( c0_1 @ a809 ) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & ( c1_1 @ a814 )
        & ~ ( c0_1 @ a814 )
        & ~ ( c3_1 @ a814 ) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ( c0_1 @ a816 )
        & ~ ( c1_1 @ a816 )
        & ~ ( c2_1 @ a816 ) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & ( c2_1 @ a817 )
        & ( c3_1 @ a817 )
        & ~ ( c1_1 @ a817 ) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & ~ ( c0_1 @ a821 )
        & ~ ( c1_1 @ a821 )
        & ~ ( c2_1 @ a821 ) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ( c0_1 @ a825 )
        & ( c1_1 @ a825 )
        & ~ ( c2_1 @ a825 ) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ~ ( c1_1 @ a828 )
        & ~ ( c2_1 @ a828 )
        & ~ ( c3_1 @ a828 ) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ( c2_1 @ a832 )
        & ~ ( c1_1 @ a832 )
        & ~ ( c3_1 @ a832 ) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ( c1_1 @ a833 )
        & ~ ( c0_1 @ a833 )
        & ~ ( c2_1 @ a833 ) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & ( c0_1 @ a838 )
        & ( c3_1 @ a838 )
        & ~ ( c2_1 @ a838 ) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ( c1_1 @ a840 )
        & ( c3_1 @ a840 )
        & ~ ( c0_1 @ a840 ) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ( c0_1 @ a856 )
        & ~ ( c2_1 @ a856 )
        & ~ ( c3_1 @ a856 ) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ( c0_1 @ a862 )
        & ~ ( c1_1 @ a862 )
        & ~ ( c3_1 @ a862 ) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ( c1_1 @ a865 )
        & ( c2_1 @ a865 )
        & ~ ( c3_1 @ a865 ) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ( c2_1 @ a869 )
        & ( c3_1 @ a869 )
        & ~ ( c0_1 @ a869 ) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ( c0_1 @ a796 )
        & ( c2_1 @ a796 )
        & ( c3_1 @ a796 ) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & ( c1_1 @ a797 )
        & ( c2_1 @ a797 )
        & ( c3_1 @ a797 ) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & ( c0_1 @ a829 )
        & ( c1_1 @ a829 )
        & ( c2_1 @ a829 ) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & ( c0_1 @ a867 )
        & ( c1_1 @ a867 )
        & ( c3_1 @ a867 ) ) )
    & ( ! [U: $i] :
          ( ndr1_0
         => ( ( c0_1 @ U )
            | ( c1_1 @ U )
            | ( c2_1 @ U ) ) )
      | ! [V: $i] :
          ( ndr1_0
         => ( ( c0_1 @ V )
            | ( c2_1 @ V )
            | ( c3_1 @ V ) ) )
      | ! [W: $i] :
          ( ndr1_0
         => ( ( c3_1 @ W )
            | ~ ( c1_1 @ W )
            | ~ ( c2_1 @ W ) ) ) )
    & ( ! [X: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X )
            | ( c1_1 @ X )
            | ( c2_1 @ X ) ) )
      | ! [Y: $i] :
          ( ndr1_0
         => ( ( c3_1 @ Y )
            | ~ ( c0_1 @ Y )
            | ~ ( c2_1 @ Y ) ) )
      | hskp0 )
    & ( ! [Z: $i] :
          ( ndr1_0
         => ( ( c0_1 @ Z )
            | ( c1_1 @ Z )
            | ( c2_1 @ Z ) ) )
      | hskp1
      | hskp2 )
    & ( ! [X1: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X1 )
            | ( c1_1 @ X1 )
            | ( c3_1 @ X1 ) ) )
      | ! [X2: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X2 )
            | ~ ( c1_1 @ X2 )
            | ~ ( c2_1 @ X2 ) ) )
      | ! [X3: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X3 )
            | ( c3_1 @ X3 )
            | ~ ( c2_1 @ X3 ) ) ) )
    & ( ! [X4: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X4 )
            | ( c1_1 @ X4 )
            | ( c3_1 @ X4 ) ) )
      | hskp27
      | hskp28 )
    & ( ! [X5: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X5 )
            | ( c1_1 @ X5 )
            | ( c3_1 @ X5 ) ) )
      | hskp3
      | hskp4 )
    & ( ! [X6: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X6 )
            | ( c1_1 @ X6 )
            | ~ ( c3_1 @ X6 ) ) )
      | ! [X7: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X7 )
            | ( c3_1 @ X7 )
            | ~ ( c2_1 @ X7 ) ) )
      | hskp5 )
    & ( ! [X8: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X8 )
            | ( c1_1 @ X8 )
            | ~ ( c3_1 @ X8 ) ) )
      | ! [X9: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X9 )
            | ( c3_1 @ X9 )
            | ~ ( c2_1 @ X9 ) ) )
      | hskp4 )
    & ( ! [X10: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X10 )
            | ( c1_1 @ X10 )
            | ~ ( c3_1 @ X10 ) ) )
      | ! [X11: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X11 )
            | ~ ( c0_1 @ X11 )
            | ~ ( c2_1 @ X11 ) ) )
      | ! [X12: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X12 )
            | ~ ( c0_1 @ X12 )
            | ~ ( c1_1 @ X12 ) ) ) )
    & ( ! [X13: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X13 )
            | ( c1_1 @ X13 )
            | ~ ( c3_1 @ X13 ) ) )
      | ! [X14: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X14 )
            | ~ ( c1_1 @ X14 )
            | ~ ( c3_1 @ X14 ) ) )
      | hskp6 )
    & ( ! [X15: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X15 )
            | ( c1_1 @ X15 )
            | ~ ( c3_1 @ X15 ) ) )
      | ! [X16: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X16 )
            | ~ ( c2_1 @ X16 )
            | ~ ( c3_1 @ X16 ) ) )
      | hskp7 )
    & ( ! [X17: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X17 )
            | ( c1_1 @ X17 )
            | ~ ( c3_1 @ X17 ) ) )
      | hskp4
      | hskp8 )
    & ( ! [X18: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X18 )
            | ( c2_1 @ X18 )
            | ( c3_1 @ X18 ) ) )
      | ! [X19: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X19 )
            | ~ ( c1_1 @ X19 )
            | ~ ( c3_1 @ X19 ) ) )
      | ! [X20: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X20 )
            | ~ ( c0_1 @ X20 )
            | ~ ( c1_1 @ X20 ) ) ) )
    & ( ! [X21: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X21 )
            | ( c2_1 @ X21 )
            | ( c3_1 @ X21 ) ) )
      | ! [X22: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X22 )
            | ( c2_1 @ X22 )
            | ~ ( c3_1 @ X22 ) ) )
      | ! [X23: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X23 )
            | ( c3_1 @ X23 )
            | ~ ( c0_1 @ X23 ) ) ) )
    & ( ! [X24: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X24 )
            | ( c2_1 @ X24 )
            | ( c3_1 @ X24 ) ) )
      | hskp9
      | hskp10 )
    & ( ! [X25: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X25 )
            | ( c2_1 @ X25 )
            | ~ ( c3_1 @ X25 ) ) )
      | ! [X26: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X26 )
            | ( c3_1 @ X26 )
            | ~ ( c1_1 @ X26 ) ) )
      | hskp11 )
    & ( ! [X27: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X27 )
            | ( c2_1 @ X27 )
            | ~ ( c3_1 @ X27 ) ) )
      | ! [X28: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X28 )
            | ( c3_1 @ X28 )
            | ~ ( c2_1 @ X28 ) ) )
      | hskp12 )
    & ( ! [X29: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X29 )
            | ( c2_1 @ X29 )
            | ~ ( c3_1 @ X29 ) ) )
      | ! [X30: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X30 )
            | ~ ( c1_1 @ X30 )
            | ~ ( c2_1 @ X30 ) ) )
      | ! [X31: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X31 )
            | ~ ( c0_1 @ X31 )
            | ~ ( c2_1 @ X31 ) ) ) )
    & ( ! [X32: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X32 )
            | ( c2_1 @ X32 )
            | ~ ( c3_1 @ X32 ) ) )
      | ! [X33: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X33 )
            | ~ ( c1_1 @ X33 )
            | ~ ( c3_1 @ X33 ) ) )
      | ! [X34: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X34 )
            | ~ ( c1_1 @ X34 )
            | ~ ( c2_1 @ X34 ) ) ) )
    & ( ! [X35: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X35 )
            | ( c2_1 @ X35 )
            | ~ ( c3_1 @ X35 ) ) )
      | ! [X36: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X36 )
            | ~ ( c0_1 @ X36 )
            | ~ ( c1_1 @ X36 ) ) )
      | hskp9 )
    & ( ! [X37: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X37 )
            | ( c2_1 @ X37 )
            | ~ ( c3_1 @ X37 ) ) )
      | hskp1
      | hskp10 )
    & ( ! [X38: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X38 )
            | ( c3_1 @ X38 )
            | ~ ( c1_1 @ X38 ) ) )
      | ! [X39: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X39 )
            | ~ ( c2_1 @ X39 )
            | ~ ( c3_1 @ X39 ) ) )
      | ! [X40: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X40 )
            | ~ ( c2_1 @ X40 )
            | ~ ( c3_1 @ X40 ) ) ) )
    & ( ! [X41: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X41 )
            | ( c3_1 @ X41 )
            | ~ ( c1_1 @ X41 ) ) )
      | ! [X42: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X42 )
            | ( c3_1 @ X42 )
            | ~ ( c1_1 @ X42 ) ) )
      | hskp3 )
    & ( ! [X43: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X43 )
            | ( c3_1 @ X43 )
            | ~ ( c1_1 @ X43 ) ) )
      | hskp13
      | hskp6 )
    & ( ! [X44: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X44 )
            | ( c3_1 @ X44 )
            | ~ ( c2_1 @ X44 ) ) )
      | ! [X45: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X45 )
            | ~ ( c1_1 @ X45 )
            | ~ ( c3_1 @ X45 ) ) )
      | hskp14 )
    & ( ! [X46: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X46 )
            | ( c3_1 @ X46 )
            | ~ ( c2_1 @ X46 ) ) )
      | ! [X47: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X47 )
            | ~ ( c1_1 @ X47 )
            | ~ ( c3_1 @ X47 ) ) )
      | ! [X48: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X48 )
            | ~ ( c0_1 @ X48 )
            | ~ ( c1_1 @ X48 ) ) ) )
    & ( ! [X49: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X49 )
            | ( c3_1 @ X49 )
            | ~ ( c2_1 @ X49 ) ) )
      | ! [X50: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X50 )
            | ~ ( c2_1 @ X50 )
            | ~ ( c3_1 @ X50 ) ) )
      | hskp15 )
    & ( ! [X51: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X51 )
            | ( c3_1 @ X51 )
            | ~ ( c2_1 @ X51 ) ) )
      | hskp0
      | hskp5 )
    & ( ! [X52: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X52 )
            | ( c3_1 @ X52 )
            | ~ ( c2_1 @ X52 ) ) )
      | hskp13
      | hskp16 )
    & ( ! [X53: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X53 )
            | ~ ( c1_1 @ X53 )
            | ~ ( c2_1 @ X53 ) ) )
      | ! [X54: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X54 )
            | ~ ( c0_1 @ X54 )
            | ~ ( c3_1 @ X54 ) ) )
      | hskp14 )
    & ( ! [X55: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X55 )
            | ~ ( c1_1 @ X55 )
            | ~ ( c2_1 @ X55 ) ) )
      | ! [X56: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X56 )
            | ~ ( c0_1 @ X56 )
            | ~ ( c3_1 @ X56 ) ) )
      | hskp13 )
    & ( ! [X57: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X57 )
            | ~ ( c1_1 @ X57 )
            | ~ ( c2_1 @ X57 ) ) )
      | ! [X58: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X58 )
            | ( c3_1 @ X58 )
            | ~ ( c1_1 @ X58 ) ) )
      | ! [X59: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X59 )
            | ~ ( c0_1 @ X59 )
            | ~ ( c1_1 @ X59 ) ) ) )
    & ( ! [X60: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X60 )
            | ~ ( c1_1 @ X60 )
            | ~ ( c3_1 @ X60 ) ) )
      | ! [X61: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X61 )
            | ~ ( c2_1 @ X61 )
            | ~ ( c3_1 @ X61 ) ) )
      | hskp8 )
    & ( ! [X62: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X62 )
            | ~ ( c1_1 @ X62 )
            | ~ ( c3_1 @ X62 ) ) )
      | hskp17
      | hskp0 )
    & ( ! [X63: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X63 )
            | ~ ( c1_1 @ X63 )
            | ~ ( c3_1 @ X63 ) ) )
      | hskp14
      | hskp18 )
    & ( ! [X64: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X64 )
            | ~ ( c2_1 @ X64 )
            | ~ ( c3_1 @ X64 ) ) )
      | ! [X65: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X65 )
            | ~ ( c1_1 @ X65 )
            | ~ ( c2_1 @ X65 ) ) )
      | ! [X66: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X66 )
            | ~ ( c1_1 @ X66 )
            | ~ ( c3_1 @ X66 ) ) ) )
    & ( ! [X67: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X67 )
            | ~ ( c2_1 @ X67 )
            | ~ ( c3_1 @ X67 ) ) )
      | hskp29
      | hskp9 )
    & ( ! [X68: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X68 )
            | ( c2_1 @ X68 )
            | ( c3_1 @ X68 ) ) )
      | ! [X69: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X69 )
            | ( c2_1 @ X69 )
            | ~ ( c0_1 @ X69 ) ) )
      | hskp29 )
    & ( ! [X70: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X70 )
            | ( c2_1 @ X70 )
            | ( c3_1 @ X70 ) ) )
      | ! [X71: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X71 )
            | ~ ( c1_1 @ X71 )
            | ~ ( c3_1 @ X71 ) ) )
      | hskp19 )
    & ( ! [X72: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X72 )
            | ( c2_1 @ X72 )
            | ( c3_1 @ X72 ) ) )
      | hskp20
      | hskp2 )
    & ( ! [X73: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X73 )
            | ( c2_1 @ X73 )
            | ~ ( c0_1 @ X73 ) ) )
      | ! [X74: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X74 )
            | ( c3_1 @ X74 )
            | ~ ( c1_1 @ X74 ) ) )
      | hskp29 )
    & ( ! [X75: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X75 )
            | ( c2_1 @ X75 )
            | ~ ( c0_1 @ X75 ) ) )
      | hskp20
      | hskp1 )
    & ( ! [X76: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X76 )
            | ( c2_1 @ X76 )
            | ~ ( c3_1 @ X76 ) ) )
      | hskp21
      | hskp18 )
    & ( ! [X77: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X77 )
            | ( c3_1 @ X77 )
            | ~ ( c0_1 @ X77 ) ) )
      | ! [X78: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X78 )
            | ~ ( c1_1 @ X78 )
            | ~ ( c3_1 @ X78 ) ) )
      | hskp22 )
    & ( ! [X79: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X79 )
            | ( c3_1 @ X79 )
            | ~ ( c2_1 @ X79 ) ) )
      | hskp0
      | hskp21 )
    & ( ! [X80: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X80 )
            | ~ ( c2_1 @ X80 )
            | ~ ( c3_1 @ X80 ) ) )
      | ! [X81: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X81 )
            | ~ ( c1_1 @ X81 )
            | ~ ( c3_1 @ X81 ) ) )
      | hskp28 )
    & ( ! [X82: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X82 )
            | ( c3_1 @ X82 )
            | ~ ( c1_1 @ X82 ) ) )
      | ! [X83: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X83 )
            | ~ ( c0_1 @ X83 )
            | ~ ( c3_1 @ X83 ) ) )
      | ! [X84: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X84 )
            | ~ ( c0_1 @ X84 )
            | ~ ( c2_1 @ X84 ) ) ) )
    & ( ! [X85: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X85 )
            | ( c3_1 @ X85 )
            | ~ ( c1_1 @ X85 ) ) )
      | ! [X86: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X86 )
            | ~ ( c1_1 @ X86 )
            | ~ ( c3_1 @ X86 ) ) )
      | hskp12 )
    & ( ! [X87: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X87 )
            | ( c3_1 @ X87 )
            | ~ ( c1_1 @ X87 ) ) )
      | hskp17
      | hskp8 )
    & ( ! [X88: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X88 )
            | ( c3_1 @ X88 )
            | ~ ( c1_1 @ X88 ) ) )
      | hskp28
      | hskp19 )
    & ( ! [X89: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X89 )
            | ( c3_1 @ X89 )
            | ~ ( c1_1 @ X89 ) ) )
      | hskp13
      | hskp1 )
    & ( ! [X90: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X90 )
            | ~ ( c0_1 @ X90 )
            | ~ ( c1_1 @ X90 ) ) )
      | ! [X91: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X91 )
            | ~ ( c0_1 @ X91 )
            | ~ ( c3_1 @ X91 ) ) )
      | hskp28 )
    & ( ! [X92: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X92 )
            | ~ ( c0_1 @ X92 )
            | ~ ( c1_1 @ X92 ) ) )
      | hskp4
      | hskp28 )
    & ( ! [X93: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X93 )
            | ~ ( c0_1 @ X93 )
            | ~ ( c3_1 @ X93 ) ) )
      | hskp9
      | hskp20 )
    & ( ! [X94: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X94 )
            | ~ ( c0_1 @ X94 )
            | ~ ( c1_1 @ X94 ) ) )
      | hskp23
      | hskp13 )
    & ( ! [X95: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X95 )
            | ~ ( c0_1 @ X95 )
            | ~ ( c2_1 @ X95 ) ) )
      | ! [X96: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X96 )
            | ~ ( c1_1 @ X96 )
            | ~ ( c3_1 @ X96 ) ) )
      | hskp5 )
    & ( ! [X97: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X97 )
            | ~ ( c0_1 @ X97 )
            | ~ ( c2_1 @ X97 ) ) )
      | hskp27
      | hskp3 )
    & ( ! [X98: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X98 )
            | ~ ( c1_1 @ X98 )
            | ~ ( c3_1 @ X98 ) ) )
      | hskp14
      | hskp24 )
    & ( ! [X99: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X99 )
            | ~ ( c1_1 @ X99 )
            | ~ ( c3_1 @ X99 ) ) )
      | hskp14
      | hskp22 )
    & ( ! [X100: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X100 )
            | ~ ( c1_1 @ X100 )
            | ~ ( c3_1 @ X100 ) ) )
      | hskp25
      | hskp1 )
    & ( ! [X101: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X101 )
            | ~ ( c2_1 @ X101 )
            | ~ ( c3_1 @ X101 ) ) )
      | hskp30
      | hskp20 )
    & ( ! [X102: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X102 )
            | ~ ( c2_1 @ X102 )
            | ~ ( c3_1 @ X102 ) ) )
      | hskp26
      | hskp11 )
    & ( ! [X103: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X103 )
            | ~ ( c2_1 @ X103 )
            | ~ ( c3_1 @ X103 ) ) )
      | hskp15
      | hskp16 )
    & ( ! [X104: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X104 )
            | ~ ( c2_1 @ X104 )
            | ~ ( c3_1 @ X104 ) ) )
      | hskp27
      | hskp19 )
    & ( ! [X105: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X105 )
            | ~ ( c2_1 @ X105 )
            | ~ ( c3_1 @ X105 ) ) )
      | hskp21
      | hskp11 )
    & ( hskp30
      | hskp28
      | hskp19 )
    & ( hskp9
      | hskp3
      | hskp26 )
    & ( hskp27
      | hskp21
      | hskp28 )
    & ( hskp4
      | hskp24
      | hskp5 )
    & ( hskp4
      | hskp26
      | hskp5 )
    & ( hskp28
      | hskp8
      | hskp10 )
    & ( hskp22
      | hskp1
      | hskp11 ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl18,plain,
    ! [X12: $i] :
      ( ( c2_1 @ X12 )
      | ~ ( c0_1 @ X12 )
      | ~ ( c3_1 @ X12 )
      | ~ ndr1_0
      | hskp9
      | hskp20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl261,plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ~ ( c0_1 @ X12 )
        | ~ ( c3_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ~ ( c0_1 @ X12 )
        | ~ ( c3_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl167,plain,
    ( ~ hskp7
    | ~ ( c2_1 @ a803 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl667,plain,
    ( ~ ( c2_1 @ a803 )
   <= ~ ( c2_1 @ a803 ) ),
    inference(split,[status(esa)],[zip_derived_cl167]) ).

thf(zip_derived_cl779,plain,
    ( ( ~ ( c3_1 @ a803 )
      | ~ ( c0_1 @ a803 ) )
   <= ( ~ ( c2_1 @ a803 )
      & ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ~ ( c0_1 @ X12 )
          | ~ ( c3_1 @ X12 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl261,zip_derived_cl667]) ).

thf('0',plain,
    ( ~ ( c0_1 @ a803 )
    | ~ ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ~ ( c0_1 @ X12 )
          | ~ ( c3_1 @ X12 ) )
    | ( c2_1 @ a803 )
    | ~ ( c3_1 @ a803 ) ),
    inference(split,[status(esa)],[zip_derived_cl779]) ).

thf(zip_derived_cl194,plain,
    ( ~ hskp0
    | ( c2_1 @ a793 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl721,plain,
    ( ( c2_1 @ a793 )
   <= ( c2_1 @ a793 ) ),
    inference(split,[status(esa)],[zip_derived_cl194]) ).

thf(zip_derived_cl26,plain,
    ! [X24: $i,X25: $i] :
      ( ( c1_1 @ X24 )
      | ~ ( c2_1 @ X24 )
      | ~ ( c3_1 @ X24 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X25 )
      | ~ ( c1_1 @ X25 )
      | ~ ( c3_1 @ X25 )
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl294,plain,
    ( ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c2_1 @ X24 )
        | ~ ( c3_1 @ X24 ) )
   <= ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c2_1 @ X24 )
        | ~ ( c3_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl1488,plain,
    ( ( ( c1_1 @ a793 )
      | ~ ( c3_1 @ a793 ) )
   <= ( ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ~ ( c2_1 @ X24 )
          | ~ ( c3_1 @ X24 ) )
      & ( c2_1 @ a793 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl721,zip_derived_cl294]) ).

thf('1',plain,
    ( ~ ( c3_1 @ a793 )
    | ~ ( c2_1 @ a793 )
    | ~ ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ~ ( c2_1 @ X24 )
          | ~ ( c3_1 @ X24 ) )
    | ( c1_1 @ a793 ) ),
    inference(split,[status(esa)],[zip_derived_cl1488]) ).

thf(zip_derived_cl193,plain,
    ( ~ hskp0
    | ( c0_1 @ a793 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('2',plain,
    ( ( c0_1 @ a793 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl193]) ).

thf('3',plain,
    ( ( c2_1 @ a793 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl194]) ).

thf(zip_derived_cl195,plain,
    ( ~ hskp0
    | ~ ( c1_1 @ a793 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('4',plain,
    ( ~ ( c1_1 @ a793 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl195]) ).

thf(zip_derived_cl38,plain,
    ! [X43: $i] :
      ( ( c0_1 @ X43 )
      | ~ ( c1_1 @ X43 )
      | ~ ( c3_1 @ X43 )
      | ~ ndr1_0
      | hskp17
      | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('5',plain,
    ( hskp0
    | hskp17
    | ~ ndr1_0
    | ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c3_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl19,plain,
    ! [X13: $i] :
      ( ( c2_1 @ X13 )
      | ~ ( c0_1 @ X13 )
      | ~ ( c1_1 @ X13 )
      | ~ ndr1_0
      | hskp4
      | hskp28 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl265,plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c1_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c1_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl667_001,plain,
    ( ~ ( c2_1 @ a803 )
   <= ~ ( c2_1 @ a803 ) ),
    inference(split,[status(esa)],[zip_derived_cl167]) ).

thf(zip_derived_cl823,plain,
    ( ( ~ ( c1_1 @ a803 )
      | ~ ( c0_1 @ a803 ) )
   <= ( ~ ( c2_1 @ a803 )
      & ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c0_1 @ X13 )
          | ~ ( c1_1 @ X13 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl265,zip_derived_cl667]) ).

thf('6',plain,
    ( ~ ( c0_1 @ a803 )
    | ~ ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c0_1 @ X13 )
          | ~ ( c1_1 @ X13 ) )
    | ( c2_1 @ a803 )
    | ~ ( c1_1 @ a803 ) ),
    inference(split,[status(esa)],[zip_derived_cl823]) ).

thf(zip_derived_cl16,plain,
    ! [X9: $i,X10: $i] :
      ( ( c3_1 @ X9 )
      | ~ ( c0_1 @ X9 )
      | ~ ( c2_1 @ X9 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X10 )
      | ~ ( c1_1 @ X10 )
      | ~ ( c3_1 @ X10 )
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('7',plain,
    ( hskp5
    | ! [X5: $i] :
        ( ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c3_1 @ X5 ) )
    | ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c2_1 @ X8 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl173,plain,
    ( ~ hskp5
    | ( c3_1 @ a800 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('8',plain,
    ( ( c3_1 @ a800 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl173]) ).

thf(zip_derived_cl174,plain,
    ( ~ hskp5
    | ~ ( c0_1 @ a800 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('9',plain,
    ( ~ ( c0_1 @ a800 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf(zip_derived_cl175,plain,
    ( ~ hskp5
    | ~ ( c1_1 @ a800 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('10',plain,
    ( ~ ( c1_1 @ a800 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl60,plain,
    ! [X88: $i] :
      ( ( c0_1 @ X88 )
      | ( c1_1 @ X88 )
      | ~ ( c3_1 @ X88 )
      | ~ ndr1_0
      | hskp4
      | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl429,plain,
    ( ! [X88: $i] :
        ( ( c0_1 @ X88 )
        | ( c1_1 @ X88 )
        | ~ ( c3_1 @ X88 ) )
   <= ! [X88: $i] :
        ( ( c0_1 @ X88 )
        | ( c1_1 @ X88 )
        | ~ ( c3_1 @ X88 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl60]) ).

thf(zip_derived_cl683,plain,
    ( ~ ( c1_1 @ a800 )
   <= ~ ( c1_1 @ a800 ) ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl1829,plain,
    ( ( ~ ( c3_1 @ a800 )
      | ( c0_1 @ a800 ) )
   <= ( ~ ( c1_1 @ a800 )
      & ! [X88: $i] :
          ( ( c0_1 @ X88 )
          | ( c1_1 @ X88 )
          | ~ ( c3_1 @ X88 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl429,zip_derived_cl683]) ).

thf('11',plain,
    ( ~ ! [X88: $i] :
          ( ( c0_1 @ X88 )
          | ( c1_1 @ X88 )
          | ~ ( c3_1 @ X88 ) )
    | ( c0_1 @ a800 )
    | ( c1_1 @ a800 )
    | ~ ( c3_1 @ a800 ) ),
    inference(split,[status(esa)],[zip_derived_cl1829]) ).

thf(zip_derived_cl261_002,plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ~ ( c0_1 @ X12 )
        | ~ ( c3_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ~ ( c0_1 @ X12 )
        | ~ ( c3_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl139,plain,
    ( ~ hskp14
    | ~ ( c2_1 @ a816 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl611,plain,
    ( ~ ( c2_1 @ a816 )
   <= ~ ( c2_1 @ a816 ) ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf(zip_derived_cl783,plain,
    ( ( ~ ( c3_1 @ a816 )
      | ~ ( c0_1 @ a816 ) )
   <= ( ~ ( c2_1 @ a816 )
      & ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ~ ( c0_1 @ X12 )
          | ~ ( c3_1 @ X12 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl261,zip_derived_cl611]) ).

thf('12',plain,
    ( ~ ( c3_1 @ a816 )
    | ( c2_1 @ a816 )
    | ~ ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ~ ( c0_1 @ X12 )
          | ~ ( c3_1 @ X12 ) )
    | ~ ( c0_1 @ a816 ) ),
    inference(split,[status(esa)],[zip_derived_cl783]) ).

thf(zip_derived_cl28,plain,
    ! [X27: $i,X28: $i] :
      ( ( c1_1 @ X27 )
      | ( c3_1 @ X27 )
      | ~ ( c0_1 @ X27 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X28 )
      | ~ ( c1_1 @ X28 )
      | ~ ( c3_1 @ X28 )
      | ~ ndr1_0
      | hskp22 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl302,plain,
    ( ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ( c3_1 @ X27 )
        | ~ ( c0_1 @ X27 ) )
   <= ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ( c3_1 @ X27 )
        | ~ ( c0_1 @ X27 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl138,plain,
    ( ~ hskp14
    | ~ ( c1_1 @ a816 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl609,plain,
    ( ~ ( c1_1 @ a816 )
   <= ~ ( c1_1 @ a816 ) ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf(zip_derived_cl1045,plain,
    ( ( ~ ( c0_1 @ a816 )
      | ( c3_1 @ a816 ) )
   <= ( ~ ( c1_1 @ a816 )
      & ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ( c3_1 @ X27 )
          | ~ ( c0_1 @ X27 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl302,zip_derived_cl609]) ).

thf('13',plain,
    ( ( c3_1 @ a816 )
    | ~ ( c0_1 @ a816 )
    | ~ ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ( c3_1 @ X27 )
          | ~ ( c0_1 @ X27 ) )
    | ( c1_1 @ a816 ) ),
    inference(split,[status(esa)],[zip_derived_cl1045]) ).

thf('14',plain,
    ( ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ( c3_1 @ X27 )
        | ~ ( c0_1 @ X27 ) )
    | hskp22
    | ~ ndr1_0
    | ! [X5: $i] :
        ( ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c3_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl89,plain,
    ( ~ hskp26
    | ( c2_1 @ a869 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl511,plain,
    ( ( c2_1 @ a869 )
   <= ( c2_1 @ a869 ) ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i] :
      ( ~ ( c1_1 @ X0 )
      | ~ ( c2_1 @ X0 )
      | ~ ( c3_1 @ X0 )
      | ~ ndr1_0
      | hskp21
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl217,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl1259,plain,
    ( ( ~ ( c1_1 @ a869 )
      | ~ ( c3_1 @ a869 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c2_1 @ a869 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl511,zip_derived_cl217]) ).

thf('15',plain,
    ( ~ ( c1_1 @ a869 )
    | ~ ( c2_1 @ a869 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c3_1 @ a869 ) ),
    inference(split,[status(esa)],[zip_derived_cl1259]) ).

thf(zip_derived_cl261_003,plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ~ ( c0_1 @ X12 )
        | ~ ( c3_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ~ ( c0_1 @ X12 )
        | ~ ( c3_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl151,plain,
    ( ~ hskp11
    | ~ ( c2_1 @ a808 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl635,plain,
    ( ~ ( c2_1 @ a808 )
   <= ~ ( c2_1 @ a808 ) ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl782,plain,
    ( ( ~ ( c3_1 @ a808 )
      | ~ ( c0_1 @ a808 ) )
   <= ( ~ ( c2_1 @ a808 )
      & ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ~ ( c0_1 @ X12 )
          | ~ ( c3_1 @ X12 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl261,zip_derived_cl635]) ).

thf('16',plain,
    ( ~ ( c0_1 @ a808 )
    | ( c2_1 @ a808 )
    | ~ ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ~ ( c0_1 @ X12 )
          | ~ ( c3_1 @ X12 ) )
    | ~ ( c3_1 @ a808 ) ),
    inference(split,[status(esa)],[zip_derived_cl782]) ).

thf(zip_derived_cl63,plain,
    ! [X93: $i,X94: $i,X95: $i] :
      ( ( c0_1 @ X93 )
      | ( c1_1 @ X93 )
      | ~ ( c3_1 @ X93 )
      | ~ ndr1_0
      | ( c1_1 @ X94 )
      | ~ ( c0_1 @ X94 )
      | ~ ( c2_1 @ X94 )
      | ~ ndr1_0
      | ( c2_1 @ X95 )
      | ~ ( c0_1 @ X95 )
      | ~ ( c1_1 @ X95 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('17',plain,
    ( ! [X94: $i] :
        ( ( c1_1 @ X94 )
        | ~ ( c0_1 @ X94 )
        | ~ ( c2_1 @ X94 ) )
    | ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c1_1 @ X13 ) )
    | ~ ndr1_0
    | ! [X88: $i] :
        ( ( c0_1 @ X88 )
        | ( c1_1 @ X88 )
        | ~ ( c3_1 @ X88 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl63]) ).

thf(zip_derived_cl113,plain,
    ( ~ hskp20
    | ( c1_1 @ a833 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl559,plain,
    ( ( c1_1 @ a833 )
   <= ( c1_1 @ a833 ) ),
    inference(split,[status(esa)],[zip_derived_cl113]) ).

thf(zip_derived_cl37,plain,
    ! [X42: $i] :
      ( ( c0_1 @ X42 )
      | ~ ( c1_1 @ X42 )
      | ~ ( c3_1 @ X42 )
      | ~ ndr1_0
      | hskp14
      | hskp18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl337,plain,
    ( ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c3_1 @ X42 ) )
   <= ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c3_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl1459,plain,
    ( ( ( c0_1 @ a833 )
      | ~ ( c3_1 @ a833 ) )
   <= ( ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ~ ( c1_1 @ X42 )
          | ~ ( c3_1 @ X42 ) )
      & ( c1_1 @ a833 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl559,zip_derived_cl337]) ).

thf('18',plain,
    ( ~ ( c3_1 @ a833 )
    | ~ ( c1_1 @ a833 )
    | ~ ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ~ ( c1_1 @ X42 )
          | ~ ( c3_1 @ X42 ) )
    | ( c0_1 @ a833 ) ),
    inference(split,[status(esa)],[zip_derived_cl1459]) ).

thf(zip_derived_cl559_004,plain,
    ( ( c1_1 @ a833 )
   <= ( c1_1 @ a833 ) ),
    inference(split,[status(esa)],[zip_derived_cl113]) ).

thf(zip_derived_cl48,plain,
    ! [X62: $i] :
      ( ( c0_1 @ X62 )
      | ( c3_1 @ X62 )
      | ~ ( c1_1 @ X62 )
      | ~ ndr1_0
      | hskp13
      | hskp6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl381,plain,
    ( ! [X62: $i] :
        ( ( c0_1 @ X62 )
        | ( c3_1 @ X62 )
        | ~ ( c1_1 @ X62 ) )
   <= ! [X62: $i] :
        ( ( c0_1 @ X62 )
        | ( c3_1 @ X62 )
        | ~ ( c1_1 @ X62 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl1692,plain,
    ( ( ( c0_1 @ a833 )
      | ( c3_1 @ a833 ) )
   <= ( ! [X62: $i] :
          ( ( c0_1 @ X62 )
          | ( c3_1 @ X62 )
          | ~ ( c1_1 @ X62 ) )
      & ( c1_1 @ a833 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl559,zip_derived_cl381]) ).

thf('19',plain,
    ( ( c3_1 @ a833 )
    | ~ ( c1_1 @ a833 )
    | ( c0_1 @ a833 )
    | ~ ! [X62: $i] :
          ( ( c0_1 @ X62 )
          | ( c3_1 @ X62 )
          | ~ ( c1_1 @ X62 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl1692]) ).

thf(zip_derived_cl86,plain,
    ( ~ hskp27
    | ( c2_1 @ a796 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl505,plain,
    ( ( c2_1 @ a796 )
   <= ( c2_1 @ a796 ) ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf(zip_derived_cl442,plain,
    ( ! [X94: $i] :
        ( ( c1_1 @ X94 )
        | ~ ( c0_1 @ X94 )
        | ~ ( c2_1 @ X94 ) )
   <= ! [X94: $i] :
        ( ( c1_1 @ X94 )
        | ~ ( c0_1 @ X94 )
        | ~ ( c2_1 @ X94 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl63]) ).

thf(zip_derived_cl1636,plain,
    ( ( ( c1_1 @ a796 )
      | ~ ( c0_1 @ a796 ) )
   <= ( ! [X94: $i] :
          ( ( c1_1 @ X94 )
          | ~ ( c0_1 @ X94 )
          | ~ ( c2_1 @ X94 ) )
      & ( c2_1 @ a796 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl505,zip_derived_cl442]) ).

thf('20',plain,
    ( ( c1_1 @ a796 )
    | ~ ! [X94: $i] :
          ( ( c1_1 @ X94 )
          | ~ ( c0_1 @ X94 )
          | ~ ( c2_1 @ X94 ) )
    | ~ ( c2_1 @ a796 )
    | ~ ( c0_1 @ a796 ) ),
    inference(split,[status(esa)],[zip_derived_cl1636]) ).

thf(zip_derived_cl11,plain,
    ! [X4: $i] :
      ( ~ ( c0_1 @ X4 )
      | ~ ( c2_1 @ X4 )
      | ~ ( c3_1 @ X4 )
      | ~ ndr1_0
      | hskp30
      | hskp20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('21',plain,
    ( hskp20
    | hskp30
    | ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl59,plain,
    ! [X85: $i,X86: $i,X87: $i] :
      ( ( c0_1 @ X85 )
      | ( c2_1 @ X85 )
      | ( c3_1 @ X85 )
      | ~ ndr1_0
      | ( c0_1 @ X86 )
      | ~ ( c1_1 @ X86 )
      | ~ ( c3_1 @ X86 )
      | ~ ndr1_0
      | ( c3_1 @ X87 )
      | ~ ( c0_1 @ X87 )
      | ~ ( c1_1 @ X87 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('22',plain,
    ( ! [X11: $i] :
        ( ( c3_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c1_1 @ X11 ) )
    | ! [X81: $i] :
        ( ( c0_1 @ X81 )
        | ( c2_1 @ X81 )
        | ( c3_1 @ X81 ) )
    | ~ ndr1_0
    | ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c3_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl57,plain,
    ! [X81: $i] :
      ( ( c0_1 @ X81 )
      | ( c2_1 @ X81 )
      | ( c3_1 @ X81 )
      | ~ ndr1_0
      | hskp9
      | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl417,plain,
    ( ! [X81: $i] :
        ( ( c0_1 @ X81 )
        | ( c2_1 @ X81 )
        | ( c3_1 @ X81 ) )
   <= ! [X81: $i] :
        ( ( c0_1 @ X81 )
        | ( c2_1 @ X81 )
        | ( c3_1 @ X81 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf(zip_derived_cl162,plain,
    ( ~ hskp8
    | ~ ( c2_1 @ a805 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl657,plain,
    ( ~ ( c2_1 @ a805 )
   <= ~ ( c2_1 @ a805 ) ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf(zip_derived_cl1789,plain,
    ( ( ( c3_1 @ a805 )
      | ( c0_1 @ a805 ) )
   <= ( ~ ( c2_1 @ a805 )
      & ! [X81: $i] :
          ( ( c0_1 @ X81 )
          | ( c2_1 @ X81 )
          | ( c3_1 @ X81 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl417,zip_derived_cl657]) ).

thf('23',plain,
    ( ( c0_1 @ a805 )
    | ~ ! [X81: $i] :
          ( ( c0_1 @ X81 )
          | ( c2_1 @ X81 )
          | ( c3_1 @ X81 ) )
    | ( c3_1 @ a805 )
    | ( c2_1 @ a805 ) ),
    inference(split,[status(esa)],[zip_derived_cl1789]) ).

thf(zip_derived_cl265_005,plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c1_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c1_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl657_006,plain,
    ( ~ ( c2_1 @ a805 )
   <= ~ ( c2_1 @ a805 ) ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf(zip_derived_cl824,plain,
    ( ( ~ ( c1_1 @ a805 )
      | ~ ( c0_1 @ a805 ) )
   <= ( ~ ( c2_1 @ a805 )
      & ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c0_1 @ X13 )
          | ~ ( c1_1 @ X13 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl265,zip_derived_cl657]) ).

thf('24',plain,
    ( ~ ( c0_1 @ a805 )
    | ~ ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c0_1 @ X13 )
          | ~ ( c1_1 @ X13 ) )
    | ( c2_1 @ a805 )
    | ~ ( c1_1 @ a805 ) ),
    inference(split,[status(esa)],[zip_derived_cl824]) ).

thf(zip_derived_cl23,plain,
    ! [X18: $i] :
      ( ( c2_1 @ X18 )
      | ( c3_1 @ X18 )
      | ~ ( c1_1 @ X18 )
      | ~ ndr1_0
      | hskp17
      | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('25',plain,
    ( hskp17
    | hskp8
    | ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c1_1 @ X16 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl125,plain,
    ( ~ hskp17
    | ( c0_1 @ a825 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('26',plain,
    ( ~ hskp17
    | ( c0_1 @ a825 ) ),
    inference(split,[status(esa)],[zip_derived_cl125]) ).

thf(zip_derived_cl126,plain,
    ( ~ hskp17
    | ( c1_1 @ a825 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('27',plain,
    ( ( c1_1 @ a825 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl127,plain,
    ( ~ hskp17
    | ~ ( c2_1 @ a825 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('28',plain,
    ( ~ hskp17
    | ~ ( c2_1 @ a825 ) ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl265_007,plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c1_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c1_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl587,plain,
    ( ~ ( c2_1 @ a825 )
   <= ~ ( c2_1 @ a825 ) ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl829,plain,
    ( ( ~ ( c1_1 @ a825 )
      | ~ ( c0_1 @ a825 ) )
   <= ( ~ ( c2_1 @ a825 )
      & ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c0_1 @ X13 )
          | ~ ( c1_1 @ X13 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl265,zip_derived_cl587]) ).

thf('29',plain,
    ( ( c2_1 @ a825 )
    | ~ ( c0_1 @ a825 )
    | ~ ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c0_1 @ X13 )
          | ~ ( c1_1 @ X13 ) )
    | ~ ( c1_1 @ a825 ) ),
    inference(split,[status(esa)],[zip_derived_cl829]) ).

thf(zip_derived_cl51,plain,
    ! [X68: $i] :
      ( ( c0_1 @ X68 )
      | ( c2_1 @ X68 )
      | ~ ( c3_1 @ X68 )
      | ~ ndr1_0
      | hskp1
      | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl393,plain,
    ( ! [X68: $i] :
        ( ( c0_1 @ X68 )
        | ( c2_1 @ X68 )
        | ~ ( c3_1 @ X68 ) )
   <= ! [X68: $i] :
        ( ( c0_1 @ X68 )
        | ( c2_1 @ X68 )
        | ~ ( c3_1 @ X68 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf(zip_derived_cl115,plain,
    ( ~ hskp20
    | ~ ( c2_1 @ a833 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl563,plain,
    ( ~ ( c2_1 @ a833 )
   <= ~ ( c2_1 @ a833 ) ),
    inference(split,[status(esa)],[zip_derived_cl115]) ).

thf(zip_derived_cl1725,plain,
    ( ( ~ ( c3_1 @ a833 )
      | ( c0_1 @ a833 ) )
   <= ( ~ ( c2_1 @ a833 )
      & ! [X68: $i] :
          ( ( c0_1 @ X68 )
          | ( c2_1 @ X68 )
          | ~ ( c3_1 @ X68 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl393,zip_derived_cl563]) ).

thf('30',plain,
    ( ~ ( c3_1 @ a833 )
    | ( c0_1 @ a833 )
    | ~ ! [X68: $i] :
          ( ( c0_1 @ X68 )
          | ( c2_1 @ X68 )
          | ~ ( c3_1 @ X68 ) )
    | ( c2_1 @ a833 ) ),
    inference(split,[status(esa)],[zip_derived_cl1725]) ).

thf(zip_derived_cl114,plain,
    ( ~ hskp20
    | ~ ( c0_1 @ a833 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('31',plain,
    ( ~ ( c0_1 @ a833 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl114]) ).

thf(zip_derived_cl302_008,plain,
    ( ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ( c3_1 @ X27 )
        | ~ ( c0_1 @ X27 ) )
   <= ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ( c3_1 @ X27 )
        | ~ ( c0_1 @ X27 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl118,plain,
    ( ~ hskp19
    | ~ ( c1_1 @ a832 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl569,plain,
    ( ~ ( c1_1 @ a832 )
   <= ~ ( c1_1 @ a832 ) ),
    inference(split,[status(esa)],[zip_derived_cl118]) ).

thf(zip_derived_cl1050,plain,
    ( ( ~ ( c0_1 @ a832 )
      | ( c3_1 @ a832 ) )
   <= ( ~ ( c1_1 @ a832 )
      & ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ( c3_1 @ X27 )
          | ~ ( c0_1 @ X27 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl302,zip_derived_cl569]) ).

thf('32',plain,
    ( ~ ( c0_1 @ a832 )
    | ~ ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ( c3_1 @ X27 )
          | ~ ( c0_1 @ X27 ) )
    | ( c3_1 @ a832 )
    | ( c1_1 @ a832 ) ),
    inference(split,[status(esa)],[zip_derived_cl1050]) ).

thf(zip_derived_cl58,plain,
    ! [X82: $i,X83: $i,X84: $i] :
      ( ( c0_1 @ X82 )
      | ( c2_1 @ X82 )
      | ( c3_1 @ X82 )
      | ~ ndr1_0
      | ( c1_1 @ X83 )
      | ( c2_1 @ X83 )
      | ~ ( c3_1 @ X83 )
      | ~ ndr1_0
      | ( c1_1 @ X84 )
      | ( c3_1 @ X84 )
      | ~ ( c0_1 @ X84 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('33',plain,
    ( ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ( c3_1 @ X27 )
        | ~ ( c0_1 @ X27 ) )
    | ! [X81: $i] :
        ( ( c0_1 @ X81 )
        | ( c2_1 @ X81 )
        | ( c3_1 @ X81 ) )
    | ~ ndr1_0
    | ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ( c2_1 @ X29 )
        | ~ ( c3_1 @ X29 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf(zip_derived_cl417_009,plain,
    ( ! [X81: $i] :
        ( ( c0_1 @ X81 )
        | ( c2_1 @ X81 )
        | ( c3_1 @ X81 ) )
   <= ! [X81: $i] :
        ( ( c0_1 @ X81 )
        | ( c2_1 @ X81 )
        | ( c3_1 @ X81 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf(zip_derived_cl154,plain,
    ( ~ hskp10
    | ~ ( c2_1 @ a807 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl641,plain,
    ( ~ ( c2_1 @ a807 )
   <= ~ ( c2_1 @ a807 ) ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl1790,plain,
    ( ( ( c3_1 @ a807 )
      | ( c0_1 @ a807 ) )
   <= ( ~ ( c2_1 @ a807 )
      & ! [X81: $i] :
          ( ( c0_1 @ X81 )
          | ( c2_1 @ X81 )
          | ( c3_1 @ X81 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl417,zip_derived_cl641]) ).

thf('34',plain,
    ( ~ ! [X81: $i] :
          ( ( c0_1 @ X81 )
          | ( c2_1 @ X81 )
          | ( c3_1 @ X81 ) )
    | ( c0_1 @ a807 )
    | ( c2_1 @ a807 )
    | ( c3_1 @ a807 ) ),
    inference(split,[status(esa)],[zip_derived_cl1790]) ).

thf(zip_derived_cl153,plain,
    ( ~ hskp10
    | ~ ( c0_1 @ a807 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('35',plain,
    ( ~ ( c0_1 @ a807 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl78,plain,
    ( ~ hskp29
    | ( c1_1 @ a829 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl489,plain,
    ( ( c1_1 @ a829 )
   <= ( c1_1 @ a829 ) ),
    inference(split,[status(esa)],[zip_derived_cl78]) ).

thf(zip_derived_cl17,plain,
    ! [X11: $i] :
      ( ( c3_1 @ X11 )
      | ~ ( c0_1 @ X11 )
      | ~ ( c1_1 @ X11 )
      | ~ ndr1_0
      | hskp23
      | hskp13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl257,plain,
    ( ! [X11: $i] :
        ( ( c3_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c1_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c3_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c1_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl1196,plain,
    ( ( ( c3_1 @ a829 )
      | ~ ( c0_1 @ a829 ) )
   <= ( ! [X11: $i] :
          ( ( c3_1 @ X11 )
          | ~ ( c0_1 @ X11 )
          | ~ ( c1_1 @ X11 ) )
      & ( c1_1 @ a829 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl489,zip_derived_cl257]) ).

thf('36',plain,
    ( ~ ! [X11: $i] :
          ( ( c3_1 @ X11 )
          | ~ ( c0_1 @ X11 )
          | ~ ( c1_1 @ X11 ) )
    | ( c3_1 @ a829 )
    | ~ ( c1_1 @ a829 )
    | ~ ( c0_1 @ a829 ) ),
    inference(split,[status(esa)],[zip_derived_cl1196]) ).

thf(zip_derived_cl29,plain,
    ! [X29: $i] :
      ( ( c1_1 @ X29 )
      | ( c2_1 @ X29 )
      | ~ ( c3_1 @ X29 )
      | ~ ndr1_0
      | hskp21
      | hskp18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl305,plain,
    ( ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ( c2_1 @ X29 )
        | ~ ( c3_1 @ X29 ) )
   <= ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ( c2_1 @ X29 )
        | ~ ( c3_1 @ X29 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl111,plain,
    ( ~ hskp21
    | ~ ( c2_1 @ a838 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl555,plain,
    ( ~ ( c2_1 @ a838 )
   <= ~ ( c2_1 @ a838 ) ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl1113,plain,
    ( ( ~ ( c3_1 @ a838 )
      | ( c1_1 @ a838 ) )
   <= ( ~ ( c2_1 @ a838 )
      & ! [X29: $i] :
          ( ( c1_1 @ X29 )
          | ( c2_1 @ X29 )
          | ~ ( c3_1 @ X29 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl305,zip_derived_cl555]) ).

thf('37',plain,
    ( ~ ! [X29: $i] :
          ( ( c1_1 @ X29 )
          | ( c2_1 @ X29 )
          | ~ ( c3_1 @ X29 ) )
    | ( c1_1 @ a838 )
    | ~ ( c3_1 @ a838 )
    | ( c2_1 @ a838 ) ),
    inference(split,[status(esa)],[zip_derived_cl1113]) ).

thf(zip_derived_cl25,plain,
    ! [X21: $i,X22: $i,X23: $i] :
      ( ( c2_1 @ X21 )
      | ( c3_1 @ X21 )
      | ~ ( c1_1 @ X21 )
      | ~ ndr1_0
      | ( c2_1 @ X22 )
      | ~ ( c0_1 @ X22 )
      | ~ ( c3_1 @ X22 )
      | ~ ndr1_0
      | ( c3_1 @ X23 )
      | ~ ( c0_1 @ X23 )
      | ~ ( c2_1 @ X23 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('38',plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ~ ( c0_1 @ X12 )
        | ~ ( c3_1 @ X12 ) )
    | ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c1_1 @ X16 ) )
    | ~ ndr1_0
    | ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c2_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl117,plain,
    ( ~ hskp19
    | ( c2_1 @ a832 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl567,plain,
    ( ( c2_1 @ a832 )
   <= ( c2_1 @ a832 ) ),
    inference(split,[status(esa)],[zip_derived_cl117]) ).

thf(zip_derived_cl27,plain,
    ! [X26: $i] :
      ( ( c1_1 @ X26 )
      | ( c3_1 @ X26 )
      | ~ ( c2_1 @ X26 )
      | ~ ndr1_0
      | hskp0
      | hskp21 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl297,plain,
    ( ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ( c3_1 @ X26 )
        | ~ ( c2_1 @ X26 ) )
   <= ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ( c3_1 @ X26 )
        | ~ ( c2_1 @ X26 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl1346,plain,
    ( ( ( c1_1 @ a832 )
      | ( c3_1 @ a832 ) )
   <= ( ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ( c3_1 @ X26 )
          | ~ ( c2_1 @ X26 ) )
      & ( c2_1 @ a832 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl567,zip_derived_cl297]) ).

thf('39',plain,
    ( ~ ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ( c3_1 @ X26 )
          | ~ ( c2_1 @ X26 ) )
    | ( c1_1 @ a832 )
    | ~ ( c2_1 @ a832 )
    | ( c3_1 @ a832 ) ),
    inference(split,[status(esa)],[zip_derived_cl1346]) ).

thf(zip_derived_cl505_010,plain,
    ( ( c2_1 @ a796 )
   <= ( c2_1 @ a796 ) ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf(zip_derived_cl36,plain,
    ! [X39: $i,X40: $i,X41: $i] :
      ( ( c0_1 @ X39 )
      | ~ ( c2_1 @ X39 )
      | ~ ( c3_1 @ X39 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X40 )
      | ~ ( c1_1 @ X40 )
      | ~ ( c2_1 @ X40 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X41 )
      | ~ ( c1_1 @ X41 )
      | ~ ( c3_1 @ X41 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl334,plain,
    ( ! [X40: $i] :
        ( ~ ( c0_1 @ X40 )
        | ~ ( c1_1 @ X40 )
        | ~ ( c2_1 @ X40 ) )
   <= ! [X40: $i] :
        ( ~ ( c0_1 @ X40 )
        | ~ ( c1_1 @ X40 )
        | ~ ( c2_1 @ X40 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl1258,plain,
    ( ( ~ ( c0_1 @ a796 )
      | ~ ( c1_1 @ a796 ) )
   <= ( ! [X40: $i] :
          ( ~ ( c0_1 @ X40 )
          | ~ ( c1_1 @ X40 )
          | ~ ( c2_1 @ X40 ) )
      & ( c2_1 @ a796 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl505,zip_derived_cl334]) ).

thf('40',plain,
    ( ~ ! [X40: $i] :
          ( ~ ( c0_1 @ X40 )
          | ~ ( c1_1 @ X40 )
          | ~ ( c2_1 @ X40 ) )
    | ~ ( c1_1 @ a796 )
    | ~ ( c2_1 @ a796 )
    | ~ ( c0_1 @ a796 ) ),
    inference(split,[status(esa)],[zip_derived_cl1258]) ).

thf(zip_derived_cl56,plain,
    ! [X79: $i,X80: $i] :
      ( ( c0_1 @ X79 )
      | ( c2_1 @ X79 )
      | ~ ( c3_1 @ X79 )
      | ~ ndr1_0
      | ( c0_1 @ X80 )
      | ( c3_1 @ X80 )
      | ~ ( c1_1 @ X80 )
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('41',plain,
    ( hskp11
    | ! [X62: $i] :
        ( ( c0_1 @ X62 )
        | ( c3_1 @ X62 )
        | ~ ( c1_1 @ X62 ) )
    | ! [X68: $i] :
        ( ( c0_1 @ X68 )
        | ( c2_1 @ X68 )
        | ~ ( c3_1 @ X68 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl56]) ).

thf(zip_derived_cl505_011,plain,
    ( ( c2_1 @ a796 )
   <= ( c2_1 @ a796 ) ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf(zip_derived_cl294_012,plain,
    ( ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c2_1 @ X24 )
        | ~ ( c3_1 @ X24 ) )
   <= ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c2_1 @ X24 )
        | ~ ( c3_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl1256,plain,
    ( ( ( c1_1 @ a796 )
      | ~ ( c3_1 @ a796 ) )
   <= ( ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ~ ( c2_1 @ X24 )
          | ~ ( c3_1 @ X24 ) )
      & ( c2_1 @ a796 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl505,zip_derived_cl294]) ).

thf(zip_derived_cl4486,plain,
    ( ( c1_1 @ a796 )
   <= ( c1_1 @ a796 ) ),
    inference(split,[status(esa)],[zip_derived_cl1256]) ).

thf(zip_derived_cl12,plain,
    ! [X5: $i] :
      ( ~ ( c0_1 @ X5 )
      | ~ ( c1_1 @ X5 )
      | ~ ( c3_1 @ X5 )
      | ~ ndr1_0
      | hskp25
      | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl237,plain,
    ( ! [X5: $i] :
        ( ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c3_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c3_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl4505,plain,
    ( ( ~ ( c0_1 @ a796 )
      | ~ ( c3_1 @ a796 ) )
   <= ( ! [X5: $i] :
          ( ~ ( c0_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
      & ( c1_1 @ a796 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4486,zip_derived_cl237]) ).

thf('42',plain,
    ( ~ ! [X5: $i] :
          ( ~ ( c0_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
    | ~ ( c1_1 @ a796 )
    | ~ ( c0_1 @ a796 )
    | ~ ( c3_1 @ a796 ) ),
    inference(split,[status(esa)],[zip_derived_cl4505]) ).

thf(zip_derived_cl82,plain,
    ( ~ hskp28
    | ( c2_1 @ a797 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl497,plain,
    ( ( c2_1 @ a797 )
   <= ( c2_1 @ a797 ) ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl9,plain,
    ! [X2: $i] :
      ( ~ ( c0_1 @ X2 )
      | ~ ( c2_1 @ X2 )
      | ~ ( c3_1 @ X2 )
      | ~ ndr1_0
      | hskp15
      | hskp16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl225,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl1209,plain,
    ( ( ~ ( c0_1 @ a797 )
      | ~ ( c3_1 @ a797 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ( c2_1 @ a797 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl497,zip_derived_cl225]) ).

thf('43',plain,
    ( ~ ( c0_1 @ a797 )
    | ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ~ ( c3_1 @ a797 )
    | ~ ( c2_1 @ a797 ) ),
    inference(split,[status(esa)],[zip_derived_cl1209]) ).

thf(zip_derived_cl64,plain,
    ! [X96: $i,X97: $i] :
      ( ( c0_1 @ X96 )
      | ( c1_1 @ X96 )
      | ~ ( c3_1 @ X96 )
      | ~ ndr1_0
      | ( c1_1 @ X97 )
      | ( c3_1 @ X97 )
      | ~ ( c2_1 @ X97 )
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('44',plain,
    ( hskp4
    | ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ( c3_1 @ X26 )
        | ~ ( c2_1 @ X26 ) )
    | ~ ndr1_0
    | ! [X88: $i] :
        ( ( c0_1 @ X88 )
        | ( c1_1 @ X88 )
        | ~ ( c3_1 @ X88 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl64]) ).

thf(zip_derived_cl169,plain,
    ( ~ hskp6
    | ( c2_1 @ a802 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl671,plain,
    ( ( c2_1 @ a802 )
   <= ( c2_1 @ a802 ) ),
    inference(split,[status(esa)],[zip_derived_cl169]) ).

thf(zip_derived_cl297_013,plain,
    ( ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ( c3_1 @ X26 )
        | ~ ( c2_1 @ X26 ) )
   <= ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ( c3_1 @ X26 )
        | ~ ( c2_1 @ X26 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl1444,plain,
    ( ( ( c1_1 @ a802 )
      | ( c3_1 @ a802 ) )
   <= ( ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ( c3_1 @ X26 )
          | ~ ( c2_1 @ X26 ) )
      & ( c2_1 @ a802 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl671,zip_derived_cl297]) ).

thf('45',plain,
    ( ~ ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ( c3_1 @ X26 )
          | ~ ( c2_1 @ X26 ) )
    | ( c3_1 @ a802 )
    | ~ ( c2_1 @ a802 )
    | ( c1_1 @ a802 ) ),
    inference(split,[status(esa)],[zip_derived_cl1444]) ).

thf(zip_derived_cl161,plain,
    ( ~ hskp8
    | ( c1_1 @ a805 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl655,plain,
    ( ( c1_1 @ a805 )
   <= ( c1_1 @ a805 ) ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl337_014,plain,
    ( ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c3_1 @ X42 ) )
   <= ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c3_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl1454,plain,
    ( ( ( c0_1 @ a805 )
      | ~ ( c3_1 @ a805 ) )
   <= ( ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ~ ( c1_1 @ X42 )
          | ~ ( c3_1 @ X42 ) )
      & ( c1_1 @ a805 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl655,zip_derived_cl337]) ).

thf(zip_derived_cl5004,plain,
    ( ( c0_1 @ a805 )
   <= ( c0_1 @ a805 ) ),
    inference(split,[status(esa)],[zip_derived_cl1454]) ).

thf(zip_derived_cl655_015,plain,
    ( ( c1_1 @ a805 )
   <= ( c1_1 @ a805 ) ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl265_016,plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c1_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c1_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl334_017,plain,
    ( ! [X40: $i] :
        ( ~ ( c0_1 @ X40 )
        | ~ ( c1_1 @ X40 )
        | ~ ( c2_1 @ X40 ) )
   <= ! [X40: $i] :
        ( ~ ( c0_1 @ X40 )
        | ~ ( c1_1 @ X40 )
        | ~ ( c2_1 @ X40 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl1081,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c0_1 @ X13 )
          | ~ ( c1_1 @ X13 ) )
      & ! [X40: $i] :
          ( ~ ( c0_1 @ X40 )
          | ~ ( c1_1 @ X40 )
          | ~ ( c2_1 @ X40 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl265,zip_derived_cl334]) ).

thf(zip_derived_cl1084,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c0_1 @ X13 )
          | ~ ( c1_1 @ X13 ) )
      & ! [X40: $i] :
          ( ~ ( c0_1 @ X40 )
          | ~ ( c1_1 @ X40 )
          | ~ ( c2_1 @ X40 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1081]) ).

thf(zip_derived_cl1427,plain,
    ( ~ ( c0_1 @ a805 )
   <= ( ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c0_1 @ X13 )
          | ~ ( c1_1 @ X13 ) )
      & ! [X40: $i] :
          ( ~ ( c0_1 @ X40 )
          | ~ ( c1_1 @ X40 )
          | ~ ( c2_1 @ X40 ) )
      & ( c1_1 @ a805 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl655,zip_derived_cl1084]) ).

thf('46',plain,
    ( ~ ! [X40: $i] :
          ( ~ ( c0_1 @ X40 )
          | ~ ( c1_1 @ X40 )
          | ~ ( c2_1 @ X40 ) )
    | ~ ( c0_1 @ a805 )
    | ~ ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c0_1 @ X13 )
          | ~ ( c1_1 @ X13 ) )
    | ~ ( c1_1 @ a805 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl5004,zip_derived_cl1427]) ).

thf(zip_derived_cl40,plain,
    ! [X46: $i,X47: $i,X48: $i] :
      ( ( c0_1 @ X46 )
      | ~ ( c1_1 @ X46 )
      | ~ ( c2_1 @ X46 )
      | ~ ndr1_0
      | ( c2_1 @ X47 )
      | ( c3_1 @ X47 )
      | ~ ( c1_1 @ X47 )
      | ~ ndr1_0
      | ( c2_1 @ X48 )
      | ~ ( c0_1 @ X48 )
      | ~ ( c1_1 @ X48 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('47',plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c1_1 @ X13 ) )
    | ! [X46: $i] :
        ( ( c0_1 @ X46 )
        | ~ ( c1_1 @ X46 )
        | ~ ( c2_1 @ X46 ) )
    | ~ ndr1_0
    | ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c1_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl655_018,plain,
    ( ( c1_1 @ a805 )
   <= ( c1_1 @ a805 ) ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl381_019,plain,
    ( ! [X62: $i] :
        ( ( c0_1 @ X62 )
        | ( c3_1 @ X62 )
        | ~ ( c1_1 @ X62 ) )
   <= ! [X62: $i] :
        ( ( c0_1 @ X62 )
        | ( c3_1 @ X62 )
        | ~ ( c1_1 @ X62 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl1687,plain,
    ( ( ( c0_1 @ a805 )
      | ( c3_1 @ a805 ) )
   <= ( ! [X62: $i] :
          ( ( c0_1 @ X62 )
          | ( c3_1 @ X62 )
          | ~ ( c1_1 @ X62 ) )
      & ( c1_1 @ a805 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl655,zip_derived_cl381]) ).

thf('48',plain,
    ( ( c0_1 @ a805 )
    | ~ ! [X62: $i] :
          ( ( c0_1 @ X62 )
          | ( c3_1 @ X62 )
          | ~ ( c1_1 @ X62 ) )
    | ( c3_1 @ a805 )
    | ~ ( c1_1 @ a805 ) ),
    inference(split,[status(esa)],[zip_derived_cl1687]) ).

thf(zip_derived_cl497_020,plain,
    ( ( c2_1 @ a797 )
   <= ( c2_1 @ a797 ) ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl334_021,plain,
    ( ! [X40: $i] :
        ( ~ ( c0_1 @ X40 )
        | ~ ( c1_1 @ X40 )
        | ~ ( c2_1 @ X40 ) )
   <= ! [X40: $i] :
        ( ~ ( c0_1 @ X40 )
        | ~ ( c1_1 @ X40 )
        | ~ ( c2_1 @ X40 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl1213,plain,
    ( ( ~ ( c0_1 @ a797 )
      | ~ ( c1_1 @ a797 ) )
   <= ( ! [X40: $i] :
          ( ~ ( c0_1 @ X40 )
          | ~ ( c1_1 @ X40 )
          | ~ ( c2_1 @ X40 ) )
      & ( c2_1 @ a797 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl497,zip_derived_cl334]) ).

thf('49',plain,
    ( ~ ! [X40: $i] :
          ( ~ ( c0_1 @ X40 )
          | ~ ( c1_1 @ X40 )
          | ~ ( c2_1 @ X40 ) )
    | ~ ( c0_1 @ a797 )
    | ~ ( c1_1 @ a797 )
    | ~ ( c2_1 @ a797 ) ),
    inference(split,[status(esa)],[zip_derived_cl1213]) ).

thf('50',plain,
    ( ! [X40: $i] :
        ( ~ ( c0_1 @ X40 )
        | ~ ( c1_1 @ X40 )
        | ~ ( c2_1 @ X40 ) )
    | ! [X38: $i] :
        ( ( c0_1 @ X38 )
        | ~ ( c2_1 @ X38 )
        | ~ ( c3_1 @ X38 ) )
    | ~ ndr1_0
    | ! [X5: $i] :
        ( ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c3_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl671_022,plain,
    ( ( c2_1 @ a802 )
   <= ( c2_1 @ a802 ) ),
    inference(split,[status(esa)],[zip_derived_cl169]) ).

thf(zip_derived_cl35,plain,
    ! [X38: $i] :
      ( ( c0_1 @ X38 )
      | ~ ( c2_1 @ X38 )
      | ~ ( c3_1 @ X38 )
      | ~ ndr1_0
      | hskp29
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl329,plain,
    ( ! [X38: $i] :
        ( ( c0_1 @ X38 )
        | ~ ( c2_1 @ X38 )
        | ~ ( c3_1 @ X38 ) )
   <= ! [X38: $i] :
        ( ( c0_1 @ X38 )
        | ~ ( c2_1 @ X38 )
        | ~ ( c3_1 @ X38 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl1445,plain,
    ( ( ( c0_1 @ a802 )
      | ~ ( c3_1 @ a802 ) )
   <= ( ! [X38: $i] :
          ( ( c0_1 @ X38 )
          | ~ ( c2_1 @ X38 )
          | ~ ( c3_1 @ X38 ) )
      & ( c2_1 @ a802 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl671,zip_derived_cl329]) ).

thf('51',plain,
    ( ~ ! [X38: $i] :
          ( ( c0_1 @ X38 )
          | ~ ( c2_1 @ X38 )
          | ~ ( c3_1 @ X38 ) )
    | ~ ( c3_1 @ a802 )
    | ( c0_1 @ a802 )
    | ~ ( c2_1 @ a802 ) ),
    inference(split,[status(esa)],[zip_derived_cl1445]) ).

thf(zip_derived_cl50,plain,
    ! [X65: $i,X66: $i,X67: $i] :
      ( ( c0_1 @ X65 )
      | ( c3_1 @ X65 )
      | ~ ( c1_1 @ X65 )
      | ~ ndr1_0
      | ( c1_1 @ X66 )
      | ~ ( c2_1 @ X66 )
      | ~ ( c3_1 @ X66 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X67 )
      | ~ ( c2_1 @ X67 )
      | ~ ( c3_1 @ X67 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('52',plain,
    ( ! [X62: $i] :
        ( ( c0_1 @ X62 )
        | ( c3_1 @ X62 )
        | ~ ( c1_1 @ X62 ) )
    | ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
    | ~ ndr1_0
    | ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c2_1 @ X24 )
        | ~ ( c3_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl133,plain,
    ( ~ hskp15
    | ( c2_1 @ a817 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl599,plain,
    ( ( c2_1 @ a817 )
   <= ( c2_1 @ a817 ) ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf(zip_derived_cl225_023,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl1361,plain,
    ( ( ~ ( c0_1 @ a817 )
      | ~ ( c3_1 @ a817 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ( c2_1 @ a817 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl599,zip_derived_cl225]) ).

thf('53',plain,
    ( ~ ( c2_1 @ a817 )
    | ~ ( c0_1 @ a817 )
    | ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ~ ( c3_1 @ a817 ) ),
    inference(split,[status(esa)],[zip_derived_cl1361]) ).

thf(zip_derived_cl45,plain,
    ! [X55: $i,X56: $i] :
      ( ( c0_1 @ X55 )
      | ( c3_1 @ X55 )
      | ~ ( c2_1 @ X55 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X56 )
      | ~ ( c2_1 @ X56 )
      | ~ ( c3_1 @ X56 )
      | ~ ndr1_0
      | hskp15 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('54',plain,
    ( ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ( c3_1 @ X53 )
        | ~ ( c2_1 @ X53 ) )
    | hskp15
    | ~ ndr1_0
    | ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl429_024,plain,
    ( ! [X88: $i] :
        ( ( c0_1 @ X88 )
        | ( c1_1 @ X88 )
        | ~ ( c3_1 @ X88 ) )
   <= ! [X88: $i] :
        ( ( c0_1 @ X88 )
        | ( c1_1 @ X88 )
        | ~ ( c3_1 @ X88 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl60]) ).

thf(zip_derived_cl135,plain,
    ( ~ hskp15
    | ~ ( c1_1 @ a817 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl603,plain,
    ( ~ ( c1_1 @ a817 )
   <= ~ ( c1_1 @ a817 ) ),
    inference(split,[status(esa)],[zip_derived_cl135]) ).

thf(zip_derived_cl1836,plain,
    ( ( ~ ( c3_1 @ a817 )
      | ( c0_1 @ a817 ) )
   <= ( ~ ( c1_1 @ a817 )
      & ! [X88: $i] :
          ( ( c0_1 @ X88 )
          | ( c1_1 @ X88 )
          | ~ ( c3_1 @ X88 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl429,zip_derived_cl603]) ).

thf('55',plain,
    ( ( c0_1 @ a817 )
    | ~ ( c3_1 @ a817 )
    | ~ ! [X88: $i] :
          ( ( c0_1 @ X88 )
          | ( c1_1 @ X88 )
          | ~ ( c3_1 @ X88 ) )
    | ( c1_1 @ a817 ) ),
    inference(split,[status(esa)],[zip_derived_cl1836]) ).

thf(zip_derived_cl41,plain,
    ! [X49: $i,X50: $i] :
      ( ( c0_1 @ X49 )
      | ~ ( c1_1 @ X49 )
      | ~ ( c2_1 @ X49 )
      | ~ ndr1_0
      | ( c1_1 @ X50 )
      | ~ ( c0_1 @ X50 )
      | ~ ( c3_1 @ X50 )
      | ~ ndr1_0
      | hskp13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('56',plain,
    ( hskp13
    | ! [X50: $i] :
        ( ( c1_1 @ X50 )
        | ~ ( c0_1 @ X50 )
        | ~ ( c3_1 @ X50 ) )
    | ! [X46: $i] :
        ( ( c0_1 @ X46 )
        | ~ ( c1_1 @ X46 )
        | ~ ( c2_1 @ X46 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl8,plain,
    ! [X1: $i] :
      ( ~ ( c1_1 @ X1 )
      | ~ ( c2_1 @ X1 )
      | ~ ( c3_1 @ X1 )
      | ~ ndr1_0
      | hskp27
      | hskp19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('57',plain,
    ( hskp27
    | hskp19
    | ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl32,plain,
    ! [X33: $i] :
      ( ( c1_1 @ X33 )
      | ( c2_1 @ X33 )
      | ( c3_1 @ X33 )
      | ~ ndr1_0
      | hskp20
      | hskp2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl317,plain,
    ( ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c2_1 @ X33 )
        | ( c3_1 @ X33 ) )
   <= ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c2_1 @ X33 )
        | ( c3_1 @ X33 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl131,plain,
    ( ~ hskp16
    | ~ ( c2_1 @ a821 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl595,plain,
    ( ~ ( c2_1 @ a821 )
   <= ~ ( c2_1 @ a821 ) ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf(zip_derived_cl1227,plain,
    ( ( ( c3_1 @ a821 )
      | ( c1_1 @ a821 ) )
   <= ( ~ ( c2_1 @ a821 )
      & ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ( c2_1 @ X33 )
          | ( c3_1 @ X33 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl317,zip_derived_cl595]) ).

thf('58',plain,
    ( ( c3_1 @ a821 )
    | ( c2_1 @ a821 )
    | ~ ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ( c2_1 @ X33 )
          | ( c3_1 @ X33 ) )
    | ( c1_1 @ a821 ) ),
    inference(split,[status(esa)],[zip_derived_cl1227]) ).

thf(zip_derived_cl429_025,plain,
    ( ! [X88: $i] :
        ( ( c0_1 @ X88 )
        | ( c1_1 @ X88 )
        | ~ ( c3_1 @ X88 ) )
   <= ! [X88: $i] :
        ( ( c0_1 @ X88 )
        | ( c1_1 @ X88 )
        | ~ ( c3_1 @ X88 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl60]) ).

thf(zip_derived_cl130,plain,
    ( ~ hskp16
    | ~ ( c1_1 @ a821 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl593,plain,
    ( ~ ( c1_1 @ a821 )
   <= ~ ( c1_1 @ a821 ) ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(zip_derived_cl1837,plain,
    ( ( ~ ( c3_1 @ a821 )
      | ( c0_1 @ a821 ) )
   <= ( ~ ( c1_1 @ a821 )
      & ! [X88: $i] :
          ( ( c0_1 @ X88 )
          | ( c1_1 @ X88 )
          | ~ ( c3_1 @ X88 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl429,zip_derived_cl593]) ).

thf('59',plain,
    ( ~ ( c3_1 @ a821 )
    | ( c0_1 @ a821 )
    | ~ ! [X88: $i] :
          ( ( c0_1 @ X88 )
          | ( c1_1 @ X88 )
          | ~ ( c3_1 @ X88 ) )
    | ( c1_1 @ a821 ) ),
    inference(split,[status(esa)],[zip_derived_cl1837]) ).

thf(zip_derived_cl129,plain,
    ( ~ hskp16
    | ~ ( c0_1 @ a821 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('60',plain,
    ( ~ hskp16
    | ~ ( c0_1 @ a821 ) ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf('61',plain,
    ( ~ hskp16
    | ~ ( c1_1 @ a821 ) ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf('62',plain,
    ( ~ hskp16
    | ~ ( c2_1 @ a821 ) ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf('63',plain,
    ( hskp16
    | ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
    | ~ ndr1_0
    | hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl305_026,plain,
    ( ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ( c2_1 @ X29 )
        | ~ ( c3_1 @ X29 ) )
   <= ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ( c2_1 @ X29 )
        | ~ ( c3_1 @ X29 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl191,plain,
    ( ~ hskp1
    | ~ ( c2_1 @ a794 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl715,plain,
    ( ~ ( c2_1 @ a794 )
   <= ~ ( c2_1 @ a794 ) ),
    inference(split,[status(esa)],[zip_derived_cl191]) ).

thf(zip_derived_cl1103,plain,
    ( ( ~ ( c3_1 @ a794 )
      | ( c1_1 @ a794 ) )
   <= ( ~ ( c2_1 @ a794 )
      & ! [X29: $i] :
          ( ( c1_1 @ X29 )
          | ( c2_1 @ X29 )
          | ~ ( c3_1 @ X29 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl305,zip_derived_cl715]) ).

thf(zip_derived_cl3500,plain,
    ( ( c1_1 @ a794 )
   <= ( c1_1 @ a794 ) ),
    inference(split,[status(esa)],[zip_derived_cl1103]) ).

thf(zip_derived_cl337_027,plain,
    ( ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c3_1 @ X42 ) )
   <= ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c3_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl3516,plain,
    ( ( ( c0_1 @ a794 )
      | ~ ( c3_1 @ a794 ) )
   <= ( ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ~ ( c1_1 @ X42 )
          | ~ ( c3_1 @ X42 ) )
      & ( c1_1 @ a794 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3500,zip_derived_cl337]) ).

thf('64',plain,
    ( ~ ( c1_1 @ a794 )
    | ~ ( c3_1 @ a794 )
    | ~ ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ~ ( c1_1 @ X42 )
          | ~ ( c3_1 @ X42 ) )
    | ( c0_1 @ a794 ) ),
    inference(split,[status(esa)],[zip_derived_cl3516]) ).

thf('65',plain,
    ( hskp25
    | hskp1
    | ~ ndr1_0
    | ! [X5: $i] :
        ( ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c3_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl95,plain,
    ( ~ hskp25
    | ~ ( c3_1 @ a865 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('66',plain,
    ( ~ ( c3_1 @ a865 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl94,plain,
    ( ~ hskp25
    | ( c2_1 @ a865 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl521,plain,
    ( ( c2_1 @ a865 )
   <= ( c2_1 @ a865 ) ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf(zip_derived_cl15,plain,
    ! [X8: $i] :
      ( ( c3_1 @ X8 )
      | ~ ( c0_1 @ X8 )
      | ~ ( c2_1 @ X8 )
      | ~ ndr1_0
      | hskp27
      | hskp3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl249,plain,
    ( ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c2_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c2_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl1309,plain,
    ( ( ( c3_1 @ a865 )
      | ~ ( c0_1 @ a865 ) )
   <= ( ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c2_1 @ X8 ) )
      & ( c2_1 @ a865 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl521,zip_derived_cl249]) ).

thf('67',plain,
    ( ~ ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c2_1 @ X8 ) )
    | ~ ( c0_1 @ a865 )
    | ( c3_1 @ a865 )
    | ~ ( c2_1 @ a865 ) ),
    inference(split,[status(esa)],[zip_derived_cl1309]) ).

thf(zip_derived_cl93,plain,
    ( ~ hskp25
    | ( c1_1 @ a865 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('68',plain,
    ( ( c1_1 @ a865 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf('69',plain,
    ( ( c2_1 @ a865 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf(zip_derived_cl521_028,plain,
    ( ( c2_1 @ a865 )
   <= ( c2_1 @ a865 ) ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf(zip_derived_cl350,plain,
    ( ! [X46: $i] :
        ( ( c0_1 @ X46 )
        | ~ ( c1_1 @ X46 )
        | ~ ( c2_1 @ X46 ) )
   <= ! [X46: $i] :
        ( ( c0_1 @ X46 )
        | ~ ( c1_1 @ X46 )
        | ~ ( c2_1 @ X46 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl1512,plain,
    ( ( ( c0_1 @ a865 )
      | ~ ( c1_1 @ a865 ) )
   <= ( ! [X46: $i] :
          ( ( c0_1 @ X46 )
          | ~ ( c1_1 @ X46 )
          | ~ ( c2_1 @ X46 ) )
      & ( c2_1 @ a865 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl521,zip_derived_cl350]) ).

thf('70',plain,
    ( ( c0_1 @ a865 )
    | ~ ( c1_1 @ a865 )
    | ~ ! [X46: $i] :
          ( ( c0_1 @ X46 )
          | ~ ( c1_1 @ X46 )
          | ~ ( c2_1 @ X46 ) )
    | ~ ( c2_1 @ a865 ) ),
    inference(split,[status(esa)],[zip_derived_cl1512]) ).

thf(zip_derived_cl489_029,plain,
    ( ( c1_1 @ a829 )
   <= ( c1_1 @ a829 ) ),
    inference(split,[status(esa)],[zip_derived_cl78]) ).

thf(zip_derived_cl237_030,plain,
    ( ! [X5: $i] :
        ( ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c3_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c3_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl1195,plain,
    ( ( ~ ( c0_1 @ a829 )
      | ~ ( c3_1 @ a829 ) )
   <= ( ! [X5: $i] :
          ( ~ ( c0_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
      & ( c1_1 @ a829 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl489,zip_derived_cl237]) ).

thf('71',plain,
    ( ~ ( c3_1 @ a829 )
    | ~ ( c0_1 @ a829 )
    | ~ ! [X5: $i] :
          ( ~ ( c0_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
    | ~ ( c1_1 @ a829 ) ),
    inference(split,[status(esa)],[zip_derived_cl1195]) ).

thf(zip_derived_cl353,plain,
    ( ! [X50: $i] :
        ( ( c1_1 @ X50 )
        | ~ ( c0_1 @ X50 )
        | ~ ( c3_1 @ X50 ) )
   <= ! [X50: $i] :
        ( ( c1_1 @ X50 )
        | ~ ( c0_1 @ X50 )
        | ~ ( c3_1 @ X50 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl150,plain,
    ( ~ hskp11
    | ~ ( c1_1 @ a808 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl633,plain,
    ( ~ ( c1_1 @ a808 )
   <= ~ ( c1_1 @ a808 ) ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf(zip_derived_cl1575,plain,
    ( ( ~ ( c3_1 @ a808 )
      | ~ ( c0_1 @ a808 ) )
   <= ( ~ ( c1_1 @ a808 )
      & ! [X50: $i] :
          ( ( c1_1 @ X50 )
          | ~ ( c0_1 @ X50 )
          | ~ ( c3_1 @ X50 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl353,zip_derived_cl633]) ).

thf('72',plain,
    ( ~ ! [X50: $i] :
          ( ( c1_1 @ X50 )
          | ~ ( c0_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
    | ~ ( c0_1 @ a808 )
    | ~ ( c3_1 @ a808 )
    | ( c1_1 @ a808 ) ),
    inference(split,[status(esa)],[zip_derived_cl1575]) ).

thf(zip_derived_cl107,plain,
    ( ~ hskp22
    | ~ ( c0_1 @ a840 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('73',plain,
    ( ~ ( c0_1 @ a840 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl107]) ).

thf(zip_derived_cl13,plain,
    ! [X6: $i] :
      ( ~ ( c0_1 @ X6 )
      | ~ ( c1_1 @ X6 )
      | ~ ( c3_1 @ X6 )
      | ~ ndr1_0
      | hskp14
      | hskp22 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('74',plain,
    ( hskp14
    | hskp22
    | ! [X5: $i] :
        ( ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c3_1 @ X5 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl165,plain,
    ( ~ hskp7
    | ( c1_1 @ a803 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl663,plain,
    ( ( c1_1 @ a803 )
   <= ( c1_1 @ a803 ) ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl237_031,plain,
    ( ! [X5: $i] :
        ( ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c3_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c3_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl1435,plain,
    ( ( ~ ( c0_1 @ a803 )
      | ~ ( c3_1 @ a803 ) )
   <= ( ! [X5: $i] :
          ( ~ ( c0_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
      & ( c1_1 @ a803 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl663,zip_derived_cl237]) ).

thf('75',plain,
    ( ~ ! [X5: $i] :
          ( ~ ( c0_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
    | ~ ( c0_1 @ a803 )
    | ~ ( c1_1 @ a803 )
    | ~ ( c3_1 @ a803 ) ),
    inference(split,[status(esa)],[zip_derived_cl1435]) ).

thf(zip_derived_cl663_032,plain,
    ( ( c1_1 @ a803 )
   <= ( c1_1 @ a803 ) ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl337_033,plain,
    ( ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c3_1 @ X42 ) )
   <= ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c3_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl1453,plain,
    ( ( ( c0_1 @ a803 )
      | ~ ( c3_1 @ a803 ) )
   <= ( ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ~ ( c1_1 @ X42 )
          | ~ ( c3_1 @ X42 ) )
      & ( c1_1 @ a803 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl663,zip_derived_cl337]) ).

thf('76',plain,
    ( ( c0_1 @ a803 )
    | ~ ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ~ ( c1_1 @ X42 )
          | ~ ( c3_1 @ X42 ) )
    | ~ ( c1_1 @ a803 )
    | ~ ( c3_1 @ a803 ) ),
    inference(split,[status(esa)],[zip_derived_cl1453]) ).

thf(zip_derived_cl33,plain,
    ! [X34: $i,X35: $i] :
      ( ( c1_1 @ X34 )
      | ( c2_1 @ X34 )
      | ( c3_1 @ X34 )
      | ~ ndr1_0
      | ( c2_1 @ X35 )
      | ~ ( c1_1 @ X35 )
      | ~ ( c3_1 @ X35 )
      | ~ ndr1_0
      | hskp19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('77',plain,
    ( ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c2_1 @ X33 )
        | ( c3_1 @ X33 ) )
    | hskp19
    | ! [X35: $i] :
        ( ( c2_1 @ X35 )
        | ~ ( c1_1 @ X35 )
        | ~ ( c3_1 @ X35 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl121,plain,
    ( ~ hskp18
    | ~ ( c1_1 @ a828 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('78',plain,
    ( ~ ( c1_1 @ a828 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl122,plain,
    ( ~ hskp18
    | ~ ( c2_1 @ a828 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('79',plain,
    ( ~ ( c2_1 @ a828 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl123,plain,
    ( ~ hskp18
    | ~ ( c3_1 @ a828 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('80',plain,
    ( ~ ( c3_1 @ a828 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl317_034,plain,
    ( ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c2_1 @ X33 )
        | ( c3_1 @ X33 ) )
   <= ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c2_1 @ X33 )
        | ( c3_1 @ X33 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl577,plain,
    ( ~ ( c2_1 @ a828 )
   <= ~ ( c2_1 @ a828 ) ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl1229,plain,
    ( ( ( c3_1 @ a828 )
      | ( c1_1 @ a828 ) )
   <= ( ~ ( c2_1 @ a828 )
      & ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ( c2_1 @ X33 )
          | ( c3_1 @ X33 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl317,zip_derived_cl577]) ).

thf('81',plain,
    ( ( c1_1 @ a828 )
    | ( c2_1 @ a828 )
    | ~ ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ( c2_1 @ X33 )
          | ( c3_1 @ X33 ) )
    | ( c3_1 @ a828 ) ),
    inference(split,[status(esa)],[zip_derived_cl1229]) ).

thf(zip_derived_cl47,plain,
    ! [X60: $i,X61: $i] :
      ( ( c0_1 @ X60 )
      | ( c3_1 @ X60 )
      | ~ ( c2_1 @ X60 )
      | ~ ndr1_0
      | ( c0_1 @ X61 )
      | ~ ( c1_1 @ X61 )
      | ~ ( c3_1 @ X61 )
      | ~ ndr1_0
      | hskp14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('82',plain,
    ( ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ( c3_1 @ X53 )
        | ~ ( c2_1 @ X53 ) )
    | hskp14
    | ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c3_1 @ X42 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf('83',plain,
    ( hskp18
    | hskp14
    | ~ ndr1_0
    | ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c3_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl105,plain,
    ( ~ hskp22
    | ( c1_1 @ a840 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl543,plain,
    ( ( c1_1 @ a840 )
   <= ( c1_1 @ a840 ) ),
    inference(split,[status(esa)],[zip_derived_cl105]) ).

thf(zip_derived_cl337_035,plain,
    ( ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c3_1 @ X42 ) )
   <= ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c3_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl1460,plain,
    ( ( ( c0_1 @ a840 )
      | ~ ( c3_1 @ a840 ) )
   <= ( ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ~ ( c1_1 @ X42 )
          | ~ ( c3_1 @ X42 ) )
      & ( c1_1 @ a840 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl543,zip_derived_cl337]) ).

thf('84',plain,
    ( ~ ( c1_1 @ a840 )
    | ~ ( c3_1 @ a840 )
    | ~ ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ~ ( c1_1 @ X42 )
          | ~ ( c3_1 @ X42 ) )
    | ( c0_1 @ a840 ) ),
    inference(split,[status(esa)],[zip_derived_cl1460]) ).

thf(zip_derived_cl321,plain,
    ( ! [X35: $i] :
        ( ( c2_1 @ X35 )
        | ~ ( c1_1 @ X35 )
        | ~ ( c3_1 @ X35 ) )
   <= ! [X35: $i] :
        ( ( c2_1 @ X35 )
        | ~ ( c1_1 @ X35 )
        | ~ ( c3_1 @ X35 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl555_036,plain,
    ( ~ ( c2_1 @ a838 )
   <= ~ ( c2_1 @ a838 ) ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl1283,plain,
    ( ( ~ ( c3_1 @ a838 )
      | ~ ( c1_1 @ a838 ) )
   <= ( ~ ( c2_1 @ a838 )
      & ! [X35: $i] :
          ( ( c2_1 @ X35 )
          | ~ ( c1_1 @ X35 )
          | ~ ( c3_1 @ X35 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl321,zip_derived_cl555]) ).

thf('85',plain,
    ( ~ ( c1_1 @ a838 )
    | ~ ! [X35: $i] :
          ( ( c2_1 @ X35 )
          | ~ ( c1_1 @ X35 )
          | ~ ( c3_1 @ X35 ) )
    | ( c2_1 @ a838 )
    | ~ ( c3_1 @ a838 ) ),
    inference(split,[status(esa)],[zip_derived_cl1283]) ).

thf(zip_derived_cl30,plain,
    ! [X30: $i] :
      ( ( c1_1 @ X30 )
      | ( c2_1 @ X30 )
      | ~ ( c0_1 @ X30 )
      | ~ ndr1_0
      | hskp20
      | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('86',plain,
    ( hskp1
    | hskp20
    | ~ ndr1_0
    | ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ( c2_1 @ X30 )
        | ~ ( c0_1 @ X30 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl21,plain,
    ! [X16: $i] :
      ( ( c2_1 @ X16 )
      | ( c3_1 @ X16 )
      | ~ ( c1_1 @ X16 )
      | ~ ndr1_0
      | hskp13
      | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl273,plain,
    ( ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c1_1 @ X16 ) )
   <= ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c1_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl563_037,plain,
    ( ~ ( c2_1 @ a833 )
   <= ~ ( c2_1 @ a833 ) ),
    inference(split,[status(esa)],[zip_derived_cl115]) ).

thf(zip_derived_cl889,plain,
    ( ( ~ ( c1_1 @ a833 )
      | ( c3_1 @ a833 ) )
   <= ( ~ ( c2_1 @ a833 )
      & ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ( c3_1 @ X16 )
          | ~ ( c1_1 @ X16 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl273,zip_derived_cl563]) ).

thf('87',plain,
    ( ( c3_1 @ a833 )
    | ( c2_1 @ a833 )
    | ~ ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ( c3_1 @ X16 )
          | ~ ( c1_1 @ X16 ) )
    | ~ ( c1_1 @ a833 ) ),
    inference(split,[status(esa)],[zip_derived_cl889]) ).

thf('88',plain,
    ( ( c1_1 @ a833 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl113]) ).

thf('89',plain,
    ( ~ ( c2_1 @ a833 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl115]) ).

thf(zip_derived_cl321_038,plain,
    ( ! [X35: $i] :
        ( ( c2_1 @ X35 )
        | ~ ( c1_1 @ X35 )
        | ~ ( c3_1 @ X35 ) )
   <= ! [X35: $i] :
        ( ( c2_1 @ X35 )
        | ~ ( c1_1 @ X35 )
        | ~ ( c3_1 @ X35 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl563_039,plain,
    ( ~ ( c2_1 @ a833 )
   <= ~ ( c2_1 @ a833 ) ),
    inference(split,[status(esa)],[zip_derived_cl115]) ).

thf(zip_derived_cl1282,plain,
    ( ( ~ ( c3_1 @ a833 )
      | ~ ( c1_1 @ a833 ) )
   <= ( ~ ( c2_1 @ a833 )
      & ! [X35: $i] :
          ( ( c2_1 @ X35 )
          | ~ ( c1_1 @ X35 )
          | ~ ( c3_1 @ X35 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl321,zip_derived_cl563]) ).

thf('90',plain,
    ( ~ ( c3_1 @ a833 )
    | ( c2_1 @ a833 )
    | ~ ! [X35: $i] :
          ( ( c2_1 @ X35 )
          | ~ ( c1_1 @ X35 )
          | ~ ( c3_1 @ X35 ) )
    | ~ ( c1_1 @ a833 ) ),
    inference(split,[status(esa)],[zip_derived_cl1282]) ).

thf(zip_derived_cl141,plain,
    ( ~ hskp13
    | ( c1_1 @ a814 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('91',plain,
    ( ( c1_1 @ a814 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf(zip_derived_cl142,plain,
    ( ~ hskp13
    | ~ ( c0_1 @ a814 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('92',plain,
    ( ~ ( c0_1 @ a814 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf(zip_derived_cl143,plain,
    ( ~ hskp13
    | ~ ( c3_1 @ a814 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('93',plain,
    ( ~ ( c3_1 @ a814 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(zip_derived_cl49,plain,
    ! [X63: $i,X64: $i] :
      ( ( c0_1 @ X63 )
      | ( c3_1 @ X63 )
      | ~ ( c1_1 @ X63 )
      | ~ ndr1_0
      | ( c2_1 @ X64 )
      | ( c3_1 @ X64 )
      | ~ ( c1_1 @ X64 )
      | ~ ndr1_0
      | hskp3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('94',plain,
    ( hskp3
    | ! [X62: $i] :
        ( ( c0_1 @ X62 )
        | ( c3_1 @ X62 )
        | ~ ( c1_1 @ X62 ) )
    | ~ ndr1_0
    | ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c1_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf('95',plain,
    ( hskp13
    | hskp1
    | ~ ndr1_0
    | ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c1_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl615,plain,
    ( ( c1_1 @ a814 )
   <= ( c1_1 @ a814 ) ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf(zip_derived_cl381_040,plain,
    ( ! [X62: $i] :
        ( ( c0_1 @ X62 )
        | ( c3_1 @ X62 )
        | ~ ( c1_1 @ X62 ) )
   <= ! [X62: $i] :
        ( ( c0_1 @ X62 )
        | ( c3_1 @ X62 )
        | ~ ( c1_1 @ X62 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl1690,plain,
    ( ( ( c0_1 @ a814 )
      | ( c3_1 @ a814 ) )
   <= ( ! [X62: $i] :
          ( ( c0_1 @ X62 )
          | ( c3_1 @ X62 )
          | ~ ( c1_1 @ X62 ) )
      & ( c1_1 @ a814 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl615,zip_derived_cl381]) ).

thf('96',plain,
    ( ~ ! [X62: $i] :
          ( ( c0_1 @ X62 )
          | ( c3_1 @ X62 )
          | ~ ( c1_1 @ X62 ) )
    | ( c0_1 @ a814 )
    | ( c3_1 @ a814 )
    | ~ ( c1_1 @ a814 ) ),
    inference(split,[status(esa)],[zip_derived_cl1690]) ).

thf(zip_derived_cl321_041,plain,
    ( ! [X35: $i] :
        ( ( c2_1 @ X35 )
        | ~ ( c1_1 @ X35 )
        | ~ ( c3_1 @ X35 ) )
   <= ! [X35: $i] :
        ( ( c2_1 @ X35 )
        | ~ ( c1_1 @ X35 )
        | ~ ( c3_1 @ X35 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl715_042,plain,
    ( ~ ( c2_1 @ a794 )
   <= ~ ( c2_1 @ a794 ) ),
    inference(split,[status(esa)],[zip_derived_cl191]) ).

thf(zip_derived_cl1273,plain,
    ( ( ~ ( c3_1 @ a794 )
      | ~ ( c1_1 @ a794 ) )
   <= ( ~ ( c2_1 @ a794 )
      & ! [X35: $i] :
          ( ( c2_1 @ X35 )
          | ~ ( c1_1 @ X35 )
          | ~ ( c3_1 @ X35 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl321,zip_derived_cl715]) ).

thf('97',plain,
    ( ~ ( c1_1 @ a794 )
    | ~ ! [X35: $i] :
          ( ( c2_1 @ X35 )
          | ~ ( c1_1 @ X35 )
          | ~ ( c3_1 @ X35 ) )
    | ( c2_1 @ a794 )
    | ~ ( c3_1 @ a794 ) ),
    inference(split,[status(esa)],[zip_derived_cl1273]) ).

thf(zip_derived_cl429_043,plain,
    ( ! [X88: $i] :
        ( ( c0_1 @ X88 )
        | ( c1_1 @ X88 )
        | ~ ( c3_1 @ X88 ) )
   <= ! [X88: $i] :
        ( ( c0_1 @ X88 )
        | ( c1_1 @ X88 )
        | ~ ( c3_1 @ X88 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl60]) ).

thf(zip_derived_cl265_044,plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c1_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c1_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl715_045,plain,
    ( ~ ( c2_1 @ a794 )
   <= ~ ( c2_1 @ a794 ) ),
    inference(split,[status(esa)],[zip_derived_cl191]) ).

thf(zip_derived_cl822,plain,
    ( ( ~ ( c1_1 @ a794 )
      | ~ ( c0_1 @ a794 ) )
   <= ( ~ ( c2_1 @ a794 )
      & ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c0_1 @ X13 )
          | ~ ( c1_1 @ X13 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl265,zip_derived_cl715]) ).

thf(zip_derived_cl920,plain,
    ( ~ ( c1_1 @ a794 )
   <= ~ ( c1_1 @ a794 ) ),
    inference(split,[status(esa)],[zip_derived_cl822]) ).

thf(zip_derived_cl1826,plain,
    ( ( ~ ( c3_1 @ a794 )
      | ( c0_1 @ a794 ) )
   <= ( ~ ( c1_1 @ a794 )
      & ! [X88: $i] :
          ( ( c0_1 @ X88 )
          | ( c1_1 @ X88 )
          | ~ ( c3_1 @ X88 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl429,zip_derived_cl920]) ).

thf('98',plain,
    ( ~ ! [X88: $i] :
          ( ( c0_1 @ X88 )
          | ( c1_1 @ X88 )
          | ~ ( c3_1 @ X88 ) )
    | ( c1_1 @ a794 )
    | ( c0_1 @ a794 )
    | ~ ( c3_1 @ a794 ) ),
    inference(split,[status(esa)],[zip_derived_cl1826]) ).

thf(zip_derived_cl20,plain,
    ! [X14: $i,X15: $i] :
      ( ( c2_1 @ X14 )
      | ~ ( c0_1 @ X14 )
      | ~ ( c1_1 @ X14 )
      | ~ ndr1_0
      | ( c2_1 @ X15 )
      | ~ ( c0_1 @ X15 )
      | ~ ( c3_1 @ X15 )
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('99',plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c1_1 @ X13 ) )
    | ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ~ ( c0_1 @ X12 )
        | ~ ( c3_1 @ X12 ) )
    | hskp28
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf('100',plain,
    ( hskp11
    | hskp21
    | ~ ndr1_0
    | ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf('101',plain,
    ( ( c1_1 @ a796 )
    | ~ ( c2_1 @ a796 )
    | ~ ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ~ ( c2_1 @ X24 )
          | ~ ( c3_1 @ X24 ) )
    | ~ ( c3_1 @ a796 ) ),
    inference(split,[status(esa)],[zip_derived_cl1256]) ).

thf(zip_derived_cl170,plain,
    ( ~ hskp6
    | ~ ( c0_1 @ a802 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('102',plain,
    ( ~ ( c0_1 @ a802 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl171,plain,
    ( ~ hskp6
    | ~ ( c1_1 @ a802 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('103',plain,
    ( ~ ( c1_1 @ a802 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl171]) ).

thf(zip_derived_cl429_046,plain,
    ( ! [X88: $i] :
        ( ( c0_1 @ X88 )
        | ( c1_1 @ X88 )
        | ~ ( c3_1 @ X88 ) )
   <= ! [X88: $i] :
        ( ( c0_1 @ X88 )
        | ( c1_1 @ X88 )
        | ~ ( c3_1 @ X88 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl60]) ).

thf(zip_derived_cl633_047,plain,
    ( ~ ( c1_1 @ a808 )
   <= ~ ( c1_1 @ a808 ) ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf(zip_derived_cl1834,plain,
    ( ( ~ ( c3_1 @ a808 )
      | ( c0_1 @ a808 ) )
   <= ( ~ ( c1_1 @ a808 )
      & ! [X88: $i] :
          ( ( c0_1 @ X88 )
          | ( c1_1 @ X88 )
          | ~ ( c3_1 @ X88 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl429,zip_derived_cl633]) ).

thf('104',plain,
    ( ( c0_1 @ a808 )
    | ~ ! [X88: $i] :
          ( ( c0_1 @ X88 )
          | ( c1_1 @ X88 )
          | ~ ( c3_1 @ X88 ) )
    | ~ ( c3_1 @ a808 )
    | ( c1_1 @ a808 ) ),
    inference(split,[status(esa)],[zip_derived_cl1834]) ).

thf(zip_derived_cl671_048,plain,
    ( ( c2_1 @ a802 )
   <= ( c2_1 @ a802 ) ),
    inference(split,[status(esa)],[zip_derived_cl169]) ).

thf(zip_derived_cl294_049,plain,
    ( ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c2_1 @ X24 )
        | ~ ( c3_1 @ X24 ) )
   <= ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c2_1 @ X24 )
        | ~ ( c3_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl1443,plain,
    ( ( ( c1_1 @ a802 )
      | ~ ( c3_1 @ a802 ) )
   <= ( ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ~ ( c2_1 @ X24 )
          | ~ ( c3_1 @ X24 ) )
      & ( c2_1 @ a802 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl671,zip_derived_cl294]) ).

thf('105',plain,
    ( ~ ( c3_1 @ a802 )
    | ~ ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ~ ( c2_1 @ X24 )
          | ~ ( c3_1 @ X24 ) )
    | ( c1_1 @ a802 )
    | ~ ( c2_1 @ a802 ) ),
    inference(split,[status(esa)],[zip_derived_cl1443]) ).

thf(zip_derived_cl157,plain,
    ( ~ hskp9
    | ( c0_1 @ a806 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('106',plain,
    ( ( c0_1 @ a806 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl158,plain,
    ( ~ hskp9
    | ( c1_1 @ a806 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('107',plain,
    ( ( c1_1 @ a806 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl159,plain,
    ( ~ hskp9
    | ~ ( c3_1 @ a806 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('108',plain,
    ( ~ ( c3_1 @ a806 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf('109',plain,
    ( hskp9
    | hskp29
    | ! [X38: $i] :
        ( ( c0_1 @ X38 )
        | ~ ( c2_1 @ X38 )
        | ~ ( c3_1 @ X38 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl511_050,plain,
    ( ( c2_1 @ a869 )
   <= ( c2_1 @ a869 ) ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf(zip_derived_cl329_051,plain,
    ( ! [X38: $i] :
        ( ( c0_1 @ X38 )
        | ~ ( c2_1 @ X38 )
        | ~ ( c3_1 @ X38 ) )
   <= ! [X38: $i] :
        ( ( c0_1 @ X38 )
        | ~ ( c2_1 @ X38 )
        | ~ ( c3_1 @ X38 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl1409,plain,
    ( ( ( c0_1 @ a869 )
      | ~ ( c3_1 @ a869 ) )
   <= ( ! [X38: $i] :
          ( ( c0_1 @ X38 )
          | ~ ( c2_1 @ X38 )
          | ~ ( c3_1 @ X38 ) )
      & ( c2_1 @ a869 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl511,zip_derived_cl329]) ).

thf('110',plain,
    ( ~ ( c2_1 @ a869 )
    | ( c0_1 @ a869 )
    | ~ ! [X38: $i] :
          ( ( c0_1 @ X38 )
          | ~ ( c2_1 @ X38 )
          | ~ ( c3_1 @ X38 ) )
    | ~ ( c3_1 @ a869 ) ),
    inference(split,[status(esa)],[zip_derived_cl1409]) ).

thf('111',plain,
    ( ( c2_1 @ a869 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf(zip_derived_cl90,plain,
    ( ~ hskp26
    | ( c3_1 @ a869 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('112',plain,
    ( ( c3_1 @ a869 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl91,plain,
    ( ~ hskp26
    | ~ ( c0_1 @ a869 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('113',plain,
    ( ~ ( c0_1 @ a869 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl10,plain,
    ! [X3: $i] :
      ( ~ ( c0_1 @ X3 )
      | ~ ( c2_1 @ X3 )
      | ~ ( c3_1 @ X3 )
      | ~ ndr1_0
      | hskp26
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('114',plain,
    ( hskp26
    | hskp11
    | ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl505_052,plain,
    ( ( c2_1 @ a796 )
   <= ( c2_1 @ a796 ) ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf(zip_derived_cl225_053,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl1254,plain,
    ( ( ~ ( c0_1 @ a796 )
      | ~ ( c3_1 @ a796 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ( c2_1 @ a796 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl505,zip_derived_cl225]) ).

thf('115',plain,
    ( ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ~ ( c0_1 @ a796 )
    | ~ ( c2_1 @ a796 )
    | ~ ( c3_1 @ a796 ) ),
    inference(split,[status(esa)],[zip_derived_cl1254]) ).

thf(zip_derived_cl46,plain,
    ! [X57: $i,X58: $i,X59: $i] :
      ( ( c0_1 @ X57 )
      | ( c3_1 @ X57 )
      | ~ ( c2_1 @ X57 )
      | ~ ndr1_0
      | ( c2_1 @ X58 )
      | ~ ( c1_1 @ X58 )
      | ~ ( c3_1 @ X58 )
      | ~ ndr1_0
      | ( c3_1 @ X59 )
      | ~ ( c0_1 @ X59 )
      | ~ ( c1_1 @ X59 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('116',plain,
    ( ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ( c3_1 @ X53 )
        | ~ ( c2_1 @ X53 ) )
    | ! [X11: $i] :
        ( ( c3_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c1_1 @ X11 ) )
    | ! [X35: $i] :
        ( ( c2_1 @ X35 )
        | ~ ( c1_1 @ X35 )
        | ~ ( c3_1 @ X35 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf('117',plain,
    ( hskp28
    | ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c2_1 @ X24 )
        | ~ ( c3_1 @ X24 ) )
    | ~ ndr1_0
    | ! [X5: $i] :
        ( ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c3_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl649,plain,
    ( ( c1_1 @ a806 )
   <= ( c1_1 @ a806 ) ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl257_054,plain,
    ( ! [X11: $i] :
        ( ( c3_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c1_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c3_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c1_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl1425,plain,
    ( ( ( c3_1 @ a806 )
      | ~ ( c0_1 @ a806 ) )
   <= ( ! [X11: $i] :
          ( ( c3_1 @ X11 )
          | ~ ( c0_1 @ X11 )
          | ~ ( c1_1 @ X11 ) )
      & ( c1_1 @ a806 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl649,zip_derived_cl257]) ).

thf('118',plain,
    ( ~ ! [X11: $i] :
          ( ( c3_1 @ X11 )
          | ~ ( c0_1 @ X11 )
          | ~ ( c1_1 @ X11 ) )
    | ~ ( c0_1 @ a806 )
    | ~ ( c1_1 @ a806 )
    | ( c3_1 @ a806 ) ),
    inference(split,[status(esa)],[zip_derived_cl1425]) ).

thf(zip_derived_cl189,plain,
    ( ~ hskp1
    | ( c3_1 @ a794 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('119',plain,
    ( ( c3_1 @ a794 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf(zip_derived_cl190,plain,
    ( ~ hskp1
    | ~ ( c0_1 @ a794 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('120',plain,
    ( ~ ( c0_1 @ a794 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl190]) ).

thf('121',plain,
    ( ~ ( c2_1 @ a794 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl191]) ).

thf(zip_derived_cl309,plain,
    ( ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ( c2_1 @ X30 )
        | ~ ( c0_1 @ X30 ) )
   <= ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ( c2_1 @ X30 )
        | ~ ( c0_1 @ X30 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl635_055,plain,
    ( ~ ( c2_1 @ a808 )
   <= ~ ( c2_1 @ a808 ) ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl1150,plain,
    ( ( ~ ( c0_1 @ a808 )
      | ( c1_1 @ a808 ) )
   <= ( ~ ( c2_1 @ a808 )
      & ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ( c2_1 @ X30 )
          | ~ ( c0_1 @ X30 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl309,zip_derived_cl635]) ).

thf('122',plain,
    ( ~ ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ( c2_1 @ X30 )
          | ~ ( c0_1 @ X30 ) )
    | ~ ( c0_1 @ a808 )
    | ( c1_1 @ a808 )
    | ( c2_1 @ a808 ) ),
    inference(split,[status(esa)],[zip_derived_cl1150]) ).

thf(zip_derived_cl149,plain,
    ( ~ hskp11
    | ( c3_1 @ a808 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('123',plain,
    ( ( c3_1 @ a808 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf('124',plain,
    ( ~ ( c1_1 @ a808 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf('125',plain,
    ( ~ ( c2_1 @ a808 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl393_056,plain,
    ( ! [X68: $i] :
        ( ( c0_1 @ X68 )
        | ( c2_1 @ X68 )
        | ~ ( c3_1 @ X68 ) )
   <= ! [X68: $i] :
        ( ( c0_1 @ X68 )
        | ( c2_1 @ X68 )
        | ~ ( c3_1 @ X68 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf(zip_derived_cl635_057,plain,
    ( ~ ( c2_1 @ a808 )
   <= ~ ( c2_1 @ a808 ) ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl1720,plain,
    ( ( ~ ( c3_1 @ a808 )
      | ( c0_1 @ a808 ) )
   <= ( ~ ( c2_1 @ a808 )
      & ! [X68: $i] :
          ( ( c0_1 @ X68 )
          | ( c2_1 @ X68 )
          | ~ ( c3_1 @ X68 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl393,zip_derived_cl635]) ).

thf('126',plain,
    ( ( c0_1 @ a808 )
    | ~ ! [X68: $i] :
          ( ( c0_1 @ X68 )
          | ( c2_1 @ X68 )
          | ~ ( c3_1 @ X68 ) )
    | ~ ( c3_1 @ a808 )
    | ( c2_1 @ a808 ) ),
    inference(split,[status(esa)],[zip_derived_cl1720]) ).

thf(zip_derived_cl55,plain,
    ! [X77: $i,X78: $i] :
      ( ( c0_1 @ X77 )
      | ( c2_1 @ X77 )
      | ~ ( c3_1 @ X77 )
      | ~ ndr1_0
      | ( c0_1 @ X78 )
      | ( c3_1 @ X78 )
      | ~ ( c2_1 @ X78 )
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('127',plain,
    ( ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ( c3_1 @ X53 )
        | ~ ( c2_1 @ X53 ) )
    | hskp12
    | ! [X68: $i] :
        ( ( c0_1 @ X68 )
        | ( c2_1 @ X68 )
        | ~ ( c3_1 @ X68 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf(zip_derived_cl42,plain,
    ! [X51: $i,X52: $i] :
      ( ( c0_1 @ X51 )
      | ~ ( c1_1 @ X51 )
      | ~ ( c2_1 @ X51 )
      | ~ ndr1_0
      | ( c1_1 @ X52 )
      | ~ ( c0_1 @ X52 )
      | ~ ( c3_1 @ X52 )
      | ~ ndr1_0
      | hskp14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('128',plain,
    ( hskp14
    | ! [X50: $i] :
        ( ( c1_1 @ X50 )
        | ~ ( c0_1 @ X50 )
        | ~ ( c3_1 @ X50 ) )
    | ! [X46: $i] :
        ( ( c0_1 @ X46 )
        | ~ ( c1_1 @ X46 )
        | ~ ( c2_1 @ X46 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl137,plain,
    ( ~ hskp14
    | ( c0_1 @ a816 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('129',plain,
    ( ( c0_1 @ a816 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf('130',plain,
    ( ~ ( c1_1 @ a816 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf('131',plain,
    ( ~ ( c2_1 @ a816 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf(zip_derived_cl309_058,plain,
    ( ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ( c2_1 @ X30 )
        | ~ ( c0_1 @ X30 ) )
   <= ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ( c2_1 @ X30 )
        | ~ ( c0_1 @ X30 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl611_059,plain,
    ( ~ ( c2_1 @ a816 )
   <= ~ ( c2_1 @ a816 ) ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf(zip_derived_cl1151,plain,
    ( ( ~ ( c0_1 @ a816 )
      | ( c1_1 @ a816 ) )
   <= ( ~ ( c2_1 @ a816 )
      & ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ( c2_1 @ X30 )
          | ~ ( c0_1 @ X30 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl309,zip_derived_cl611]) ).

thf('132',plain,
    ( ~ ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ( c2_1 @ X30 )
          | ~ ( c0_1 @ X30 ) )
    | ( c1_1 @ a816 )
    | ( c2_1 @ a816 )
    | ~ ( c0_1 @ a816 ) ),
    inference(split,[status(esa)],[zip_derived_cl1151]) ).

thf(zip_derived_cl567_060,plain,
    ( ( c2_1 @ a832 )
   <= ( c2_1 @ a832 ) ),
    inference(split,[status(esa)],[zip_derived_cl117]) ).

thf(zip_derived_cl43,plain,
    ! [X53: $i] :
      ( ( c0_1 @ X53 )
      | ( c3_1 @ X53 )
      | ~ ( c2_1 @ X53 )
      | ~ ndr1_0
      | hskp13
      | hskp16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl361,plain,
    ( ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ( c3_1 @ X53 )
        | ~ ( c2_1 @ X53 ) )
   <= ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ( c3_1 @ X53 )
        | ~ ( c2_1 @ X53 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl1671,plain,
    ( ( ( c0_1 @ a832 )
      | ( c3_1 @ a832 ) )
   <= ( ! [X53: $i] :
          ( ( c0_1 @ X53 )
          | ( c3_1 @ X53 )
          | ~ ( c2_1 @ X53 ) )
      & ( c2_1 @ a832 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl567,zip_derived_cl361]) ).

thf('133',plain,
    ( ( c0_1 @ a832 )
    | ~ ! [X53: $i] :
          ( ( c0_1 @ X53 )
          | ( c3_1 @ X53 )
          | ~ ( c2_1 @ X53 ) )
    | ( c3_1 @ a832 )
    | ~ ( c2_1 @ a832 ) ),
    inference(split,[status(esa)],[zip_derived_cl1671]) ).

thf(zip_derived_cl567_061,plain,
    ( ( c2_1 @ a832 )
   <= ( c2_1 @ a832 ) ),
    inference(split,[status(esa)],[zip_derived_cl117]) ).

thf(zip_derived_cl249_062,plain,
    ( ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c2_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c2_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl1344,plain,
    ( ( ( c3_1 @ a832 )
      | ~ ( c0_1 @ a832 ) )
   <= ( ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c2_1 @ X8 ) )
      & ( c2_1 @ a832 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl567,zip_derived_cl249]) ).

thf('134',plain,
    ( ~ ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c2_1 @ X8 ) )
    | ~ ( c0_1 @ a832 )
    | ( c3_1 @ a832 )
    | ~ ( c2_1 @ a832 ) ),
    inference(split,[status(esa)],[zip_derived_cl1344]) ).

thf(zip_derived_cl116,plain,
    ( ~ hskp19
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('135',plain,
    ( ndr1_0
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl116]) ).

thf('136',plain,
    ( ( c1_1 @ a840 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl105]) ).

thf(zip_derived_cl106,plain,
    ( ~ hskp22
    | ( c3_1 @ a840 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('137',plain,
    ( ( c3_1 @ a840 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(zip_derived_cl321_063,plain,
    ( ! [X35: $i] :
        ( ( c2_1 @ X35 )
        | ~ ( c1_1 @ X35 )
        | ~ ( c3_1 @ X35 ) )
   <= ! [X35: $i] :
        ( ( c2_1 @ X35 )
        | ~ ( c1_1 @ X35 )
        | ~ ( c3_1 @ X35 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl217_064,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl1267,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X35: $i] :
          ( ( c2_1 @ X35 )
          | ~ ( c1_1 @ X35 )
          | ~ ( c3_1 @ X35 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl321,zip_derived_cl217]) ).

thf(zip_derived_cl1299,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X35: $i] :
          ( ( c2_1 @ X35 )
          | ~ ( c1_1 @ X35 )
          | ~ ( c3_1 @ X35 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1267]) ).

thf(zip_derived_cl543_065,plain,
    ( ( c1_1 @ a840 )
   <= ( c1_1 @ a840 ) ),
    inference(split,[status(esa)],[zip_derived_cl105]) ).

thf(zip_derived_cl1984,plain,
    ( ~ ( c3_1 @ a840 )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X35: $i] :
          ( ( c2_1 @ X35 )
          | ~ ( c1_1 @ X35 )
          | ~ ( c3_1 @ X35 ) )
      & ( c1_1 @ a840 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1299,zip_derived_cl543]) ).

thf(zip_derived_cl545,plain,
    ( ( c3_1 @ a840 )
   <= ( c3_1 @ a840 ) ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf('138',plain,
    ( ~ ( c1_1 @ a840 )
    | ~ ( c3_1 @ a840 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ! [X35: $i] :
          ( ( c2_1 @ X35 )
          | ~ ( c1_1 @ X35 )
          | ~ ( c3_1 @ X35 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1984,zip_derived_cl545]) ).

thf(zip_derived_cl1299_066,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X35: $i] :
          ( ( c2_1 @ X35 )
          | ~ ( c1_1 @ X35 )
          | ~ ( c3_1 @ X35 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1267]) ).

thf(zip_derived_cl74,plain,
    ( ~ hskp30
    | ( c1_1 @ a867 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl481,plain,
    ( ( c1_1 @ a867 )
   <= ( c1_1 @ a867 ) ),
    inference(split,[status(esa)],[zip_derived_cl74]) ).

thf(zip_derived_cl1988,plain,
    ( ~ ( c3_1 @ a867 )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X35: $i] :
          ( ( c2_1 @ X35 )
          | ~ ( c1_1 @ X35 )
          | ~ ( c3_1 @ X35 ) )
      & ( c1_1 @ a867 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1299,zip_derived_cl481]) ).

thf(zip_derived_cl75,plain,
    ( ~ hskp30
    | ( c3_1 @ a867 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl483,plain,
    ( ( c3_1 @ a867 )
   <= ( c3_1 @ a867 ) ),
    inference(split,[status(esa)],[zip_derived_cl75]) ).

thf('139',plain,
    ( ~ ! [X35: $i] :
          ( ( c2_1 @ X35 )
          | ~ ( c1_1 @ X35 )
          | ~ ( c3_1 @ X35 ) )
    | ~ ( c1_1 @ a867 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c3_1 @ a867 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1988,zip_derived_cl483]) ).

thf(zip_derived_cl353_067,plain,
    ( ! [X50: $i] :
        ( ( c1_1 @ X50 )
        | ~ ( c0_1 @ X50 )
        | ~ ( c3_1 @ X50 ) )
   <= ! [X50: $i] :
        ( ( c1_1 @ X50 )
        | ~ ( c0_1 @ X50 )
        | ~ ( c3_1 @ X50 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl265_068,plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c1_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c1_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl555_069,plain,
    ( ~ ( c2_1 @ a838 )
   <= ~ ( c2_1 @ a838 ) ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl832,plain,
    ( ( ~ ( c1_1 @ a838 )
      | ~ ( c0_1 @ a838 ) )
   <= ( ~ ( c2_1 @ a838 )
      & ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c0_1 @ X13 )
          | ~ ( c1_1 @ X13 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl265,zip_derived_cl555]) ).

thf(zip_derived_cl942,plain,
    ( ~ ( c1_1 @ a838 )
   <= ~ ( c1_1 @ a838 ) ),
    inference(split,[status(esa)],[zip_derived_cl832]) ).

thf(zip_derived_cl1583,plain,
    ( ( ~ ( c3_1 @ a838 )
      | ~ ( c0_1 @ a838 ) )
   <= ( ~ ( c1_1 @ a838 )
      & ! [X50: $i] :
          ( ( c1_1 @ X50 )
          | ~ ( c0_1 @ X50 )
          | ~ ( c3_1 @ X50 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl353,zip_derived_cl942]) ).

thf('140',plain,
    ( ~ ! [X50: $i] :
          ( ( c1_1 @ X50 )
          | ~ ( c0_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
    | ( c1_1 @ a838 )
    | ~ ( c0_1 @ a838 )
    | ~ ( c3_1 @ a838 ) ),
    inference(split,[status(esa)],[zip_derived_cl1583]) ).

thf(zip_derived_cl108,plain,
    ( ~ hskp21
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('141',plain,
    ( ndr1_0
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl108]) ).

thf(zip_derived_cl505_070,plain,
    ( ( c2_1 @ a796 )
   <= ( c2_1 @ a796 ) ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf(zip_derived_cl217_071,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl1253,plain,
    ( ( ~ ( c1_1 @ a796 )
      | ~ ( c3_1 @ a796 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c2_1 @ a796 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl505,zip_derived_cl217]) ).

thf('142',plain,
    ( ~ ( c1_1 @ a796 )
    | ~ ( c2_1 @ a796 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c3_1 @ a796 ) ),
    inference(split,[status(esa)],[zip_derived_cl1253]) ).

thf(zip_derived_cl85,plain,
    ( ~ hskp27
    | ( c0_1 @ a796 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('143',plain,
    ( ( c0_1 @ a796 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf('144',plain,
    ( ( c2_1 @ a796 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf(zip_derived_cl87,plain,
    ( ~ hskp27
    | ( c3_1 @ a796 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('145',plain,
    ( ( c3_1 @ a796 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl2207,plain,
    ( ~ ( c1_1 @ a796 )
   <= ~ ( c1_1 @ a796 ) ),
    inference(split,[status(esa)],[zip_derived_cl1253]) ).

thf(zip_derived_cl353_072,plain,
    ( ! [X50: $i] :
        ( ( c1_1 @ X50 )
        | ~ ( c0_1 @ X50 )
        | ~ ( c3_1 @ X50 ) )
   <= ! [X50: $i] :
        ( ( c1_1 @ X50 )
        | ~ ( c0_1 @ X50 )
        | ~ ( c3_1 @ X50 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl2210,plain,
    ( ( ~ ( c0_1 @ a796 )
      | ~ ( c3_1 @ a796 ) )
   <= ( ~ ( c1_1 @ a796 )
      & ! [X50: $i] :
          ( ( c1_1 @ X50 )
          | ~ ( c0_1 @ X50 )
          | ~ ( c3_1 @ X50 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2207,zip_derived_cl353]) ).

thf('146',plain,
    ( ~ ! [X50: $i] :
          ( ( c1_1 @ X50 )
          | ~ ( c0_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
    | ( c1_1 @ a796 )
    | ~ ( c0_1 @ a796 )
    | ~ ( c3_1 @ a796 ) ),
    inference(split,[status(esa)],[zip_derived_cl2210]) ).

thf(zip_derived_cl177,plain,
    ( ~ hskp4
    | ( c0_1 @ a799 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('147',plain,
    ( ( c0_1 @ a799 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf(zip_derived_cl178,plain,
    ( ~ hskp4
    | ( c3_1 @ a799 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('148',plain,
    ( ( c3_1 @ a799 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl179,plain,
    ( ~ hskp4
    | ~ ( c1_1 @ a799 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('149',plain,
    ( ~ ( c1_1 @ a799 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl179]) ).

thf(zip_derived_cl353_073,plain,
    ( ! [X50: $i] :
        ( ( c1_1 @ X50 )
        | ~ ( c0_1 @ X50 )
        | ~ ( c3_1 @ X50 ) )
   <= ! [X50: $i] :
        ( ( c1_1 @ X50 )
        | ~ ( c0_1 @ X50 )
        | ~ ( c3_1 @ X50 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl691,plain,
    ( ~ ( c1_1 @ a799 )
   <= ~ ( c1_1 @ a799 ) ),
    inference(split,[status(esa)],[zip_derived_cl179]) ).

thf(zip_derived_cl1569,plain,
    ( ( ~ ( c3_1 @ a799 )
      | ~ ( c0_1 @ a799 ) )
   <= ( ~ ( c1_1 @ a799 )
      & ! [X50: $i] :
          ( ( c1_1 @ X50 )
          | ~ ( c0_1 @ X50 )
          | ~ ( c3_1 @ X50 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl353,zip_derived_cl691]) ).

thf('150',plain,
    ( ~ ! [X50: $i] :
          ( ( c1_1 @ X50 )
          | ~ ( c0_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
    | ~ ( c3_1 @ a799 )
    | ( c1_1 @ a799 )
    | ~ ( c0_1 @ a799 ) ),
    inference(split,[status(esa)],[zip_derived_cl1569]) ).

thf('151',plain,
    ( hskp4
    | ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c1_1 @ X13 ) )
    | hskp28
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf('152',plain,
    ( ( c1_1 @ a829 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl78]) ).

thf(zip_derived_cl79,plain,
    ( ~ hskp29
    | ( c2_1 @ a829 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl491,plain,
    ( ( c2_1 @ a829 )
   <= ( c2_1 @ a829 ) ),
    inference(split,[status(esa)],[zip_derived_cl79]) ).

thf(zip_derived_cl217_074,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl1198,plain,
    ( ( ~ ( c1_1 @ a829 )
      | ~ ( c3_1 @ a829 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c2_1 @ a829 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl491,zip_derived_cl217]) ).

thf('153',plain,
    ( ~ ( c3_1 @ a829 )
    | ~ ( c2_1 @ a829 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c1_1 @ a829 ) ),
    inference(split,[status(esa)],[zip_derived_cl1198]) ).

thf(zip_derived_cl77,plain,
    ( ~ hskp29
    | ( c0_1 @ a829 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('154',plain,
    ( ( c0_1 @ a829 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl77]) ).

thf('155',plain,
    ( ( c2_1 @ a829 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl79]) ).

thf(zip_derived_cl491_075,plain,
    ( ( c2_1 @ a829 )
   <= ( c2_1 @ a829 ) ),
    inference(split,[status(esa)],[zip_derived_cl79]) ).

thf(zip_derived_cl249_076,plain,
    ( ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c2_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c2_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl1200,plain,
    ( ( ( c3_1 @ a829 )
      | ~ ( c0_1 @ a829 ) )
   <= ( ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c2_1 @ X8 ) )
      & ( c2_1 @ a829 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl491,zip_derived_cl249]) ).

thf('156',plain,
    ( ~ ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c2_1 @ X8 ) )
    | ( c3_1 @ a829 )
    | ~ ( c0_1 @ a829 )
    | ~ ( c2_1 @ a829 ) ),
    inference(split,[status(esa)],[zip_derived_cl1200]) ).

thf('157',plain,
    ( ~ ( c1_1 @ a838 )
    | ~ ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c0_1 @ X13 )
          | ~ ( c1_1 @ X13 ) )
    | ~ ( c0_1 @ a838 )
    | ( c2_1 @ a838 ) ),
    inference(split,[status(esa)],[zip_derived_cl832]) ).

thf(zip_derived_cl181,plain,
    ( ~ hskp3
    | ( c0_1 @ a798 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('158',plain,
    ( ( c0_1 @ a798 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl181]) ).

thf(zip_derived_cl182,plain,
    ( ~ hskp3
    | ( c2_1 @ a798 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('159',plain,
    ( ( c2_1 @ a798 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf(zip_derived_cl183,plain,
    ( ~ hskp3
    | ~ ( c3_1 @ a798 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('160',plain,
    ( ~ ( c3_1 @ a798 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl183]) ).

thf(zip_derived_cl697,plain,
    ( ( c2_1 @ a798 )
   <= ( c2_1 @ a798 ) ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf(zip_derived_cl249_077,plain,
    ( ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c2_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c2_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl1472,plain,
    ( ( ( c3_1 @ a798 )
      | ~ ( c0_1 @ a798 ) )
   <= ( ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c2_1 @ X8 ) )
      & ( c2_1 @ a798 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl697,zip_derived_cl249]) ).

thf('161',plain,
    ( ~ ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c2_1 @ X8 ) )
    | ~ ( c0_1 @ a798 )
    | ( c3_1 @ a798 )
    | ~ ( c2_1 @ a798 ) ),
    inference(split,[status(esa)],[zip_derived_cl1472]) ).

thf(zip_derived_cl655_078,plain,
    ( ( c1_1 @ a805 )
   <= ( c1_1 @ a805 ) ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl257_079,plain,
    ( ! [X11: $i] :
        ( ( c3_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c1_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c3_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c1_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl1429,plain,
    ( ( ( c3_1 @ a805 )
      | ~ ( c0_1 @ a805 ) )
   <= ( ! [X11: $i] :
          ( ( c3_1 @ X11 )
          | ~ ( c0_1 @ X11 )
          | ~ ( c1_1 @ X11 ) )
      & ( c1_1 @ a805 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl655,zip_derived_cl257]) ).

thf('162',plain,
    ( ~ ! [X11: $i] :
          ( ( c3_1 @ X11 )
          | ~ ( c0_1 @ X11 )
          | ~ ( c1_1 @ X11 ) )
    | ~ ( c0_1 @ a805 )
    | ~ ( c1_1 @ a805 )
    | ( c3_1 @ a805 ) ),
    inference(split,[status(esa)],[zip_derived_cl1429]) ).

thf(zip_derived_cl273_080,plain,
    ( ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c1_1 @ X16 ) )
   <= ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c1_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl641_081,plain,
    ( ~ ( c2_1 @ a807 )
   <= ~ ( c2_1 @ a807 ) ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl883,plain,
    ( ( ~ ( c1_1 @ a807 )
      | ( c3_1 @ a807 ) )
   <= ( ~ ( c2_1 @ a807 )
      & ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ( c3_1 @ X16 )
          | ~ ( c1_1 @ X16 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl273,zip_derived_cl641]) ).

thf('163',plain,
    ( ~ ( c1_1 @ a807 )
    | ( c3_1 @ a807 )
    | ~ ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ( c3_1 @ X16 )
          | ~ ( c1_1 @ X16 ) )
    | ( c2_1 @ a807 ) ),
    inference(split,[status(esa)],[zip_derived_cl883]) ).

thf('164',plain,
    ( ~ ( c2_1 @ a807 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl155,plain,
    ( ~ hskp10
    | ~ ( c3_1 @ a807 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('165',plain,
    ( ~ ( c3_1 @ a807 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf(zip_derived_cl1,plain,
    ( hskp28
    | hskp8
    | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('166',plain,
    ( hskp10
    | hskp28
    | hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl31,plain,
    ! [X31: $i,X32: $i] :
      ( ( c1_1 @ X31 )
      | ( c2_1 @ X31 )
      | ~ ( c0_1 @ X31 )
      | ~ ndr1_0
      | ( c2_1 @ X32 )
      | ( c3_1 @ X32 )
      | ~ ( c1_1 @ X32 )
      | ~ ndr1_0
      | hskp29 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('167',plain,
    ( hskp29
    | ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ( c2_1 @ X30 )
        | ~ ( c0_1 @ X30 ) )
    | ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c1_1 @ X16 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl31]) ).

thf(zip_derived_cl34,plain,
    ! [X36: $i,X37: $i] :
      ( ( c1_1 @ X36 )
      | ( c2_1 @ X36 )
      | ( c3_1 @ X36 )
      | ~ ndr1_0
      | ( c1_1 @ X37 )
      | ( c2_1 @ X37 )
      | ~ ( c0_1 @ X37 )
      | ~ ndr1_0
      | hskp29 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('168',plain,
    ( hskp29
    | ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c2_1 @ X33 )
        | ( c3_1 @ X33 ) )
    | ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ( c2_1 @ X30 )
        | ~ ( c0_1 @ X30 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl317_082,plain,
    ( ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c2_1 @ X33 )
        | ( c3_1 @ X33 ) )
   <= ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c2_1 @ X33 )
        | ( c3_1 @ X33 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl641_083,plain,
    ( ~ ( c2_1 @ a807 )
   <= ~ ( c2_1 @ a807 ) ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl1224,plain,
    ( ( ( c3_1 @ a807 )
      | ( c1_1 @ a807 ) )
   <= ( ~ ( c2_1 @ a807 )
      & ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ( c2_1 @ X33 )
          | ( c3_1 @ X33 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl317,zip_derived_cl641]) ).

thf('169',plain,
    ( ~ ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ( c2_1 @ X33 )
          | ( c3_1 @ X33 ) )
    | ( c1_1 @ a807 )
    | ( c2_1 @ a807 )
    | ( c3_1 @ a807 ) ),
    inference(split,[status(esa)],[zip_derived_cl1224]) ).

thf(zip_derived_cl104,plain,
    ( ~ hskp22
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('170',plain,
    ( ndr1_0
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl104]) ).

thf(zip_derived_cl148,plain,
    ( ~ hskp11
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('171',plain,
    ( ndr1_0
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl148]) ).

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

thf('172',plain,
    ( ndr1_0
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl188]) ).

thf(zip_derived_cl0,plain,
    ( hskp22
    | hskp1
    | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('173',plain,
    ( hskp11
    | hskp1
    | hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf(zip_derived_cl261_084,plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ~ ( c0_1 @ X12 )
        | ~ ( c3_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ~ ( c0_1 @ X12 )
        | ~ ( c3_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl555_085,plain,
    ( ~ ( c2_1 @ a838 )
   <= ~ ( c2_1 @ a838 ) ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl788,plain,
    ( ( ~ ( c3_1 @ a838 )
      | ~ ( c0_1 @ a838 ) )
   <= ( ~ ( c2_1 @ a838 )
      & ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ~ ( c0_1 @ X12 )
          | ~ ( c3_1 @ X12 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl261,zip_derived_cl555]) ).

thf('174',plain,
    ( ~ ( c0_1 @ a838 )
    | ( c2_1 @ a838 )
    | ~ ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ~ ( c0_1 @ X12 )
          | ~ ( c3_1 @ X12 ) )
    | ~ ( c3_1 @ a838 ) ),
    inference(split,[status(esa)],[zip_derived_cl788]) ).

thf('175',plain,
    ( ( c2_1 @ a832 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl117]) ).

thf('176',plain,
    ( ~ ( c1_1 @ a832 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl118]) ).

thf(zip_derived_cl119,plain,
    ( ~ hskp19
    | ~ ( c3_1 @ a832 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('177',plain,
    ( ~ ( c3_1 @ a832 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl119]) ).

thf(zip_derived_cl309_086,plain,
    ( ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ( c2_1 @ X30 )
        | ~ ( c0_1 @ X30 ) )
   <= ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ( c2_1 @ X30 )
        | ~ ( c0_1 @ X30 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl555_087,plain,
    ( ~ ( c2_1 @ a838 )
   <= ~ ( c2_1 @ a838 ) ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl1156,plain,
    ( ( ~ ( c0_1 @ a838 )
      | ( c1_1 @ a838 ) )
   <= ( ~ ( c2_1 @ a838 )
      & ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ( c2_1 @ X30 )
          | ~ ( c0_1 @ X30 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl309,zip_derived_cl555]) ).

thf('178',plain,
    ( ~ ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ( c2_1 @ X30 )
          | ~ ( c0_1 @ X30 ) )
    | ( c1_1 @ a838 )
    | ( c2_1 @ a838 )
    | ~ ( c0_1 @ a838 ) ),
    inference(split,[status(esa)],[zip_derived_cl1156]) ).

thf(zip_derived_cl3860,plain,
    ( ( c1_1 @ a838 )
   <= ( c1_1 @ a838 ) ),
    inference(split,[status(esa)],[zip_derived_cl1113]) ).

thf(zip_derived_cl237_088,plain,
    ( ! [X5: $i] :
        ( ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c3_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c3_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl3874,plain,
    ( ( ~ ( c0_1 @ a838 )
      | ~ ( c3_1 @ a838 ) )
   <= ( ! [X5: $i] :
          ( ~ ( c0_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
      & ( c1_1 @ a838 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3860,zip_derived_cl237]) ).

thf('179',plain,
    ( ~ ( c1_1 @ a838 )
    | ~ ! [X5: $i] :
          ( ~ ( c0_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
    | ~ ( c3_1 @ a838 )
    | ~ ( c0_1 @ a838 ) ),
    inference(split,[status(esa)],[zip_derived_cl3874]) ).

thf(zip_derived_cl109,plain,
    ( ~ hskp21
    | ( c0_1 @ a838 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('180',plain,
    ( ( c0_1 @ a838 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf(zip_derived_cl110,plain,
    ( ~ hskp21
    | ( c3_1 @ a838 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('181',plain,
    ( ( c3_1 @ a838 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl110]) ).

thf('182',plain,
    ( ~ ( c2_1 @ a838 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl6,plain,
    ( hskp30
    | hskp28
    | hskp19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('183',plain,
    ( hskp30
    | hskp19
    | hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl4,plain,
    ( hskp27
    | hskp21
    | hskp28 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('184',plain,
    ( hskp21
    | hskp27
    | hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf(zip_derived_cl497_089,plain,
    ( ( c2_1 @ a797 )
   <= ( c2_1 @ a797 ) ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl350_090,plain,
    ( ! [X46: $i] :
        ( ( c0_1 @ X46 )
        | ~ ( c1_1 @ X46 )
        | ~ ( c2_1 @ X46 ) )
   <= ! [X46: $i] :
        ( ( c0_1 @ X46 )
        | ~ ( c1_1 @ X46 )
        | ~ ( c2_1 @ X46 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl1515,plain,
    ( ( ( c0_1 @ a797 )
      | ~ ( c1_1 @ a797 ) )
   <= ( ! [X46: $i] :
          ( ( c0_1 @ X46 )
          | ~ ( c1_1 @ X46 )
          | ~ ( c2_1 @ X46 ) )
      & ( c2_1 @ a797 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl497,zip_derived_cl350]) ).

thf('185',plain,
    ( ( c0_1 @ a797 )
    | ~ ! [X46: $i] :
          ( ( c0_1 @ X46 )
          | ~ ( c1_1 @ X46 )
          | ~ ( c2_1 @ X46 ) )
    | ~ ( c2_1 @ a797 )
    | ~ ( c1_1 @ a797 ) ),
    inference(split,[status(esa)],[zip_derived_cl1515]) ).

thf(zip_derived_cl81,plain,
    ( ~ hskp28
    | ( c1_1 @ a797 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl495,plain,
    ( ( c1_1 @ a797 )
   <= ( c1_1 @ a797 ) ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf(zip_derived_cl237_091,plain,
    ( ! [X5: $i] :
        ( ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c3_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c3_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl1205,plain,
    ( ( ~ ( c0_1 @ a797 )
      | ~ ( c3_1 @ a797 ) )
   <= ( ! [X5: $i] :
          ( ~ ( c0_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
      & ( c1_1 @ a797 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl495,zip_derived_cl237]) ).

thf('186',plain,
    ( ~ ( c0_1 @ a797 )
    | ~ ! [X5: $i] :
          ( ~ ( c0_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
    | ~ ( c3_1 @ a797 )
    | ~ ( c1_1 @ a797 ) ),
    inference(split,[status(esa)],[zip_derived_cl1205]) ).

thf(zip_derived_cl393_092,plain,
    ( ! [X68: $i] :
        ( ( c0_1 @ X68 )
        | ( c2_1 @ X68 )
        | ~ ( c3_1 @ X68 ) )
   <= ! [X68: $i] :
        ( ( c0_1 @ X68 )
        | ( c2_1 @ X68 )
        | ~ ( c3_1 @ X68 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf(zip_derived_cl715_093,plain,
    ( ~ ( c2_1 @ a794 )
   <= ~ ( c2_1 @ a794 ) ),
    inference(split,[status(esa)],[zip_derived_cl191]) ).

thf(zip_derived_cl1716,plain,
    ( ( ~ ( c3_1 @ a794 )
      | ( c0_1 @ a794 ) )
   <= ( ~ ( c2_1 @ a794 )
      & ! [X68: $i] :
          ( ( c0_1 @ X68 )
          | ( c2_1 @ X68 )
          | ~ ( c3_1 @ X68 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl393,zip_derived_cl715]) ).

thf('187',plain,
    ( ~ ! [X68: $i] :
          ( ( c0_1 @ X68 )
          | ( c2_1 @ X68 )
          | ~ ( c3_1 @ X68 ) )
    | ( c0_1 @ a794 )
    | ( c2_1 @ a794 )
    | ~ ( c3_1 @ a794 ) ),
    inference(split,[status(esa)],[zip_derived_cl1716]) ).

thf(zip_derived_cl495_094,plain,
    ( ( c1_1 @ a797 )
   <= ( c1_1 @ a797 ) ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf(zip_derived_cl337_095,plain,
    ( ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c3_1 @ X42 ) )
   <= ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c3_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl1462,plain,
    ( ( ( c0_1 @ a797 )
      | ~ ( c3_1 @ a797 ) )
   <= ( ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ~ ( c1_1 @ X42 )
          | ~ ( c3_1 @ X42 ) )
      & ( c1_1 @ a797 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl495,zip_derived_cl337]) ).

thf('188',plain,
    ( ( c0_1 @ a797 )
    | ~ ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ~ ( c1_1 @ X42 )
          | ~ ( c3_1 @ X42 ) )
    | ~ ( c3_1 @ a797 )
    | ~ ( c1_1 @ a797 ) ),
    inference(split,[status(esa)],[zip_derived_cl1462]) ).

thf(zip_derived_cl73,plain,
    ( ~ hskp30
    | ( c0_1 @ a867 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('189',plain,
    ( ( c0_1 @ a867 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl73]) ).

thf('190',plain,
    ( ( c1_1 @ a867 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl74]) ).

thf('191',plain,
    ( ( c3_1 @ a867 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl75]) ).

thf(zip_derived_cl481_096,plain,
    ( ( c1_1 @ a867 )
   <= ( c1_1 @ a867 ) ),
    inference(split,[status(esa)],[zip_derived_cl74]) ).

thf(zip_derived_cl237_097,plain,
    ( ! [X5: $i] :
        ( ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c3_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c3_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl1183,plain,
    ( ( ~ ( c0_1 @ a867 )
      | ~ ( c3_1 @ a867 ) )
   <= ( ! [X5: $i] :
          ( ~ ( c0_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
      & ( c1_1 @ a867 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl481,zip_derived_cl237]) ).

thf('192',plain,
    ( ~ ! [X5: $i] :
          ( ~ ( c0_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
    | ~ ( c0_1 @ a867 )
    | ~ ( c1_1 @ a867 )
    | ~ ( c3_1 @ a867 ) ),
    inference(split,[status(esa)],[zip_derived_cl1183]) ).

thf(zip_derived_cl2269,plain,
    ( ~ ( c1_1 @ a869 )
   <= ~ ( c1_1 @ a869 ) ),
    inference(split,[status(esa)],[zip_derived_cl1259]) ).

thf(zip_derived_cl429_098,plain,
    ( ! [X88: $i] :
        ( ( c0_1 @ X88 )
        | ( c1_1 @ X88 )
        | ~ ( c3_1 @ X88 ) )
   <= ! [X88: $i] :
        ( ( c0_1 @ X88 )
        | ( c1_1 @ X88 )
        | ~ ( c3_1 @ X88 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl60]) ).

thf(zip_derived_cl2273,plain,
    ( ( ( c0_1 @ a869 )
      | ~ ( c3_1 @ a869 ) )
   <= ( ~ ( c1_1 @ a869 )
      & ! [X88: $i] :
          ( ( c0_1 @ X88 )
          | ( c1_1 @ X88 )
          | ~ ( c3_1 @ X88 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2269,zip_derived_cl429]) ).

thf('193',plain,
    ( ( c1_1 @ a869 )
    | ( c0_1 @ a869 )
    | ~ ! [X88: $i] :
          ( ( c0_1 @ X88 )
          | ( c1_1 @ X88 )
          | ~ ( c3_1 @ X88 ) )
    | ~ ( c3_1 @ a869 ) ),
    inference(split,[status(esa)],[zip_derived_cl2273]) ).

thf('194',plain,
    ( ( c1_1 @ a797 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf('195',plain,
    ( ( c2_1 @ a797 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl83,plain,
    ( ~ hskp28
    | ( c3_1 @ a797 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('196',plain,
    ( ( c3_1 @ a797 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl497_099,plain,
    ( ( c2_1 @ a797 )
   <= ( c2_1 @ a797 ) ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl217_100,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl1208,plain,
    ( ( ~ ( c1_1 @ a797 )
      | ~ ( c3_1 @ a797 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c2_1 @ a797 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl497,zip_derived_cl217]) ).

thf('197',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c1_1 @ a797 )
    | ~ ( c3_1 @ a797 )
    | ~ ( c2_1 @ a797 ) ),
    inference(split,[status(esa)],[zip_derived_cl1208]) ).

thf(zip_derived_cl302_101,plain,
    ( ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ( c3_1 @ X27 )
        | ~ ( c0_1 @ X27 ) )
   <= ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ( c3_1 @ X27 )
        | ~ ( c0_1 @ X27 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl723,plain,
    ( ~ ( c1_1 @ a793 )
   <= ~ ( c1_1 @ a793 ) ),
    inference(split,[status(esa)],[zip_derived_cl195]) ).

thf(zip_derived_cl1035,plain,
    ( ( ~ ( c0_1 @ a793 )
      | ( c3_1 @ a793 ) )
   <= ( ~ ( c1_1 @ a793 )
      & ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ( c3_1 @ X27 )
          | ~ ( c0_1 @ X27 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl302,zip_derived_cl723]) ).

thf('198',plain,
    ( ~ ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ( c3_1 @ X27 )
          | ~ ( c0_1 @ X27 ) )
    | ( c3_1 @ a793 )
    | ~ ( c0_1 @ a793 )
    | ( c1_1 @ a793 ) ),
    inference(split,[status(esa)],[zip_derived_cl1035]) ).

thf(zip_derived_cl61,plain,
    ! [X89: $i,X90: $i] :
      ( ( c0_1 @ X89 )
      | ( c1_1 @ X89 )
      | ~ ( c3_1 @ X89 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X90 )
      | ~ ( c2_1 @ X90 )
      | ~ ( c3_1 @ X90 )
      | ~ ndr1_0
      | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('199',plain,
    ( hskp7
    | ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | ~ ndr1_0
    | ! [X88: $i] :
        ( ( c0_1 @ X88 )
        | ( c1_1 @ X88 )
        | ~ ( c3_1 @ X88 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(zip_derived_cl166,plain,
    ( ~ hskp7
    | ( c3_1 @ a803 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('200',plain,
    ( ( c3_1 @ a803 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl166]) ).

thf('201',plain,
    ( ( c1_1 @ a803 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf('202',plain,
    ( ~ ( c2_1 @ a803 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl167]) ).

thf(zip_derived_cl321_102,plain,
    ( ! [X35: $i] :
        ( ( c2_1 @ X35 )
        | ~ ( c1_1 @ X35 )
        | ~ ( c3_1 @ X35 ) )
   <= ! [X35: $i] :
        ( ( c2_1 @ X35 )
        | ~ ( c1_1 @ X35 )
        | ~ ( c3_1 @ X35 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl667_103,plain,
    ( ~ ( c2_1 @ a803 )
   <= ~ ( c2_1 @ a803 ) ),
    inference(split,[status(esa)],[zip_derived_cl167]) ).

thf(zip_derived_cl1274,plain,
    ( ( ~ ( c3_1 @ a803 )
      | ~ ( c1_1 @ a803 ) )
   <= ( ~ ( c2_1 @ a803 )
      & ! [X35: $i] :
          ( ( c2_1 @ X35 )
          | ~ ( c1_1 @ X35 )
          | ~ ( c3_1 @ X35 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl321,zip_derived_cl667]) ).

thf('203',plain,
    ( ~ ! [X35: $i] :
          ( ( c2_1 @ X35 )
          | ~ ( c1_1 @ X35 )
          | ~ ( c3_1 @ X35 ) )
    | ~ ( c1_1 @ a803 )
    | ( c2_1 @ a803 )
    | ~ ( c3_1 @ a803 ) ),
    inference(split,[status(esa)],[zip_derived_cl1274]) ).

thf(zip_derived_cl62,plain,
    ! [X91: $i,X92: $i] :
      ( ( c0_1 @ X91 )
      | ( c1_1 @ X91 )
      | ~ ( c3_1 @ X91 )
      | ~ ndr1_0
      | ( c2_1 @ X92 )
      | ~ ( c1_1 @ X92 )
      | ~ ( c3_1 @ X92 )
      | ~ ndr1_0
      | hskp6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('204',plain,
    ( hskp6
    | ! [X35: $i] :
        ( ( c2_1 @ X35 )
        | ~ ( c1_1 @ X35 )
        | ~ ( c3_1 @ X35 ) )
    | ! [X88: $i] :
        ( ( c0_1 @ X88 )
        | ( c1_1 @ X88 )
        | ~ ( c3_1 @ X88 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf('205',plain,
    ( ( c2_1 @ a802 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl169]) ).

thf('206',plain,
    ( ~ hskp15
    | ( c2_1 @ a817 ) ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf(zip_derived_cl134,plain,
    ( ~ hskp15
    | ( c3_1 @ a817 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('207',plain,
    ( ( c3_1 @ a817 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf('208',plain,
    ( ~ hskp15
    | ~ ( c1_1 @ a817 ) ),
    inference(split,[status(esa)],[zip_derived_cl135]) ).

thf(zip_derived_cl599_104,plain,
    ( ( c2_1 @ a817 )
   <= ( c2_1 @ a817 ) ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf(zip_derived_cl294_105,plain,
    ( ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c2_1 @ X24 )
        | ~ ( c3_1 @ X24 ) )
   <= ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c2_1 @ X24 )
        | ~ ( c3_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl1363,plain,
    ( ( ( c1_1 @ a817 )
      | ~ ( c3_1 @ a817 ) )
   <= ( ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ~ ( c2_1 @ X24 )
          | ~ ( c3_1 @ X24 ) )
      & ( c2_1 @ a817 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl599,zip_derived_cl294]) ).

thf('209',plain,
    ( ~ ( c2_1 @ a817 )
    | ( c1_1 @ a817 )
    | ~ ! [X24: $i] :
          ( ( c1_1 @ X24 )
          | ~ ( c2_1 @ X24 )
          | ~ ( c3_1 @ X24 ) )
    | ~ ( c3_1 @ a817 ) ),
    inference(split,[status(esa)],[zip_derived_cl1363]) ).

thf(zip_derived_cl671_106,plain,
    ( ( c2_1 @ a802 )
   <= ( c2_1 @ a802 ) ),
    inference(split,[status(esa)],[zip_derived_cl169]) ).

thf(zip_derived_cl361_107,plain,
    ( ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ( c3_1 @ X53 )
        | ~ ( c2_1 @ X53 ) )
   <= ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ( c3_1 @ X53 )
        | ~ ( c2_1 @ X53 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl1668,plain,
    ( ( ( c0_1 @ a802 )
      | ( c3_1 @ a802 ) )
   <= ( ! [X53: $i] :
          ( ( c0_1 @ X53 )
          | ( c3_1 @ X53 )
          | ~ ( c2_1 @ X53 ) )
      & ( c2_1 @ a802 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl671,zip_derived_cl361]) ).

thf('210',plain,
    ( ~ ! [X53: $i] :
          ( ( c0_1 @ X53 )
          | ( c3_1 @ X53 )
          | ~ ( c2_1 @ X53 ) )
    | ( c3_1 @ a802 )
    | ( c0_1 @ a802 )
    | ~ ( c2_1 @ a802 ) ),
    inference(split,[status(esa)],[zip_derived_cl1668]) ).

thf(zip_derived_cl39,plain,
    ! [X44: $i,X45: $i] :
      ( ( c0_1 @ X44 )
      | ~ ( c1_1 @ X44 )
      | ~ ( c3_1 @ X44 )
      | ~ ndr1_0
      | ( c1_1 @ X45 )
      | ~ ( c2_1 @ X45 )
      | ~ ( c3_1 @ X45 )
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('211',plain,
    ( hskp8
    | ! [X24: $i] :
        ( ( c1_1 @ X24 )
        | ~ ( c2_1 @ X24 )
        | ~ ( c3_1 @ X24 ) )
    | ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c3_1 @ X42 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf('212',plain,
    ( ( c1_1 @ a805 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf('213',plain,
    ( ~ ( c2_1 @ a805 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf(zip_derived_cl163,plain,
    ( ~ hskp8
    | ~ ( c3_1 @ a805 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('214',plain,
    ( ~ ( c3_1 @ a805 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl273_108,plain,
    ( ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c1_1 @ X16 ) )
   <= ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c1_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl657_109,plain,
    ( ~ ( c2_1 @ a805 )
   <= ~ ( c2_1 @ a805 ) ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf(zip_derived_cl882,plain,
    ( ( ~ ( c1_1 @ a805 )
      | ( c3_1 @ a805 ) )
   <= ( ~ ( c2_1 @ a805 )
      & ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ( c3_1 @ X16 )
          | ~ ( c1_1 @ X16 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl273,zip_derived_cl657]) ).

thf('215',plain,
    ( ~ ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ( c3_1 @ X16 )
          | ~ ( c1_1 @ X16 ) )
    | ~ ( c1_1 @ a805 )
    | ( c2_1 @ a805 )
    | ( c3_1 @ a805 ) ),
    inference(split,[status(esa)],[zip_derived_cl882]) ).

thf(zip_derived_cl24,plain,
    ! [X19: $i,X20: $i] :
      ( ( c2_1 @ X19 )
      | ( c3_1 @ X19 )
      | ~ ( c1_1 @ X19 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X20 )
      | ~ ( c1_1 @ X20 )
      | ~ ( c3_1 @ X20 )
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('216',plain,
    ( hskp12
    | ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c1_1 @ X16 ) )
    | ~ ndr1_0
    | ! [X5: $i] :
        ( ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c3_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl145,plain,
    ( ~ hskp12
    | ( c1_1 @ a809 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('217',plain,
    ( ( c1_1 @ a809 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl146,plain,
    ( ~ hskp12
    | ( c2_1 @ a809 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('218',plain,
    ( ( c2_1 @ a809 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf(zip_derived_cl147,plain,
    ( ~ hskp12
    | ~ ( c0_1 @ a809 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('219',plain,
    ( ~ ( c0_1 @ a809 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl625,plain,
    ( ( c2_1 @ a809 )
   <= ( c2_1 @ a809 ) ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf(zip_derived_cl350_110,plain,
    ( ! [X46: $i] :
        ( ( c0_1 @ X46 )
        | ~ ( c1_1 @ X46 )
        | ~ ( c2_1 @ X46 ) )
   <= ! [X46: $i] :
        ( ( c0_1 @ X46 )
        | ~ ( c1_1 @ X46 )
        | ~ ( c2_1 @ X46 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl1509,plain,
    ( ( ( c0_1 @ a809 )
      | ~ ( c1_1 @ a809 ) )
   <= ( ! [X46: $i] :
          ( ( c0_1 @ X46 )
          | ~ ( c1_1 @ X46 )
          | ~ ( c2_1 @ X46 ) )
      & ( c2_1 @ a809 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl625,zip_derived_cl350]) ).

thf('220',plain,
    ( ~ ! [X46: $i] :
          ( ( c0_1 @ X46 )
          | ~ ( c1_1 @ X46 )
          | ~ ( c2_1 @ X46 ) )
    | ~ ( c1_1 @ a809 )
    | ( c0_1 @ a809 )
    | ~ ( c2_1 @ a809 ) ),
    inference(split,[status(esa)],[zip_derived_cl1509]) ).

thf(zip_derived_cl54,plain,
    ! [X74: $i,X75: $i,X76: $i] :
      ( ( c0_1 @ X74 )
      | ( c2_1 @ X74 )
      | ~ ( c3_1 @ X74 )
      | ~ ndr1_0
      | ( c0_1 @ X75 )
      | ~ ( c1_1 @ X75 )
      | ~ ( c2_1 @ X75 )
      | ~ ndr1_0
      | ( c3_1 @ X76 )
      | ~ ( c0_1 @ X76 )
      | ~ ( c2_1 @ X76 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('221',plain,
    ( ! [X68: $i] :
        ( ( c0_1 @ X68 )
        | ( c2_1 @ X68 )
        | ~ ( c3_1 @ X68 ) )
    | ! [X46: $i] :
        ( ( c0_1 @ X46 )
        | ~ ( c1_1 @ X46 )
        | ~ ( c2_1 @ X46 ) )
    | ~ ndr1_0
    | ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c2_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf(zip_derived_cl393_111,plain,
    ( ! [X68: $i] :
        ( ( c0_1 @ X68 )
        | ( c2_1 @ X68 )
        | ~ ( c3_1 @ X68 ) )
   <= ! [X68: $i] :
        ( ( c0_1 @ X68 )
        | ( c2_1 @ X68 )
        | ~ ( c3_1 @ X68 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf(zip_derived_cl667_112,plain,
    ( ~ ( c2_1 @ a803 )
   <= ~ ( c2_1 @ a803 ) ),
    inference(split,[status(esa)],[zip_derived_cl167]) ).

thf(zip_derived_cl1717,plain,
    ( ( ~ ( c3_1 @ a803 )
      | ( c0_1 @ a803 ) )
   <= ( ~ ( c2_1 @ a803 )
      & ! [X68: $i] :
          ( ( c0_1 @ X68 )
          | ( c2_1 @ X68 )
          | ~ ( c3_1 @ X68 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl393,zip_derived_cl667]) ).

thf('222',plain,
    ( ~ ! [X68: $i] :
          ( ( c0_1 @ X68 )
          | ( c2_1 @ X68 )
          | ~ ( c3_1 @ X68 ) )
    | ( c0_1 @ a803 )
    | ( c2_1 @ a803 )
    | ~ ( c3_1 @ a803 ) ),
    inference(split,[status(esa)],[zip_derived_cl1717]) ).

thf(zip_derived_cl6778,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']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN473+1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.hyGfdc7M8X true
% 0.13/0.33  % Computer : n026.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Sat Aug 26 18:05:18 EDT 2023
% 0.18/0.33  % CPUTime  : 
% 0.18/0.33  % Running portfolio for 300 s
% 0.18/0.33  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.33  % Number of cores: 8
% 0.18/0.34  % Python version: Python 3.6.8
% 0.18/0.34  % Running in FO mode
% 0.19/0.61  % Total configuration time : 435
% 0.19/0.61  % Estimated wc time : 1092
% 0.19/0.61  % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.19/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.19/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.19/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 8.77/1.93  % Solved by fo/fo1_av.sh.
% 8.77/1.93  % done 1991 iterations in 1.105s
% 8.77/1.93  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 8.77/1.93  % SZS output start Refutation
% See solution above
% 8.77/1.94  
% 8.77/1.94  
% 8.77/1.94  % Terminating...
% 10.13/2.26  % Runner terminated.
% 10.13/2.27  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------