TSTP Solution File: SYN482+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN482+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.R0MvyzXiMy true

% Computer : n010.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep  1 04:04:00 EDT 2023

% Result   : Theorem 6.68s 1.61s
% Output   : Refutation 6.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   68
% Syntax   : Number of formulae    :  662 (   1 unt;  67 typ;   0 def)
%            Number of atoms       : 4287 (   0 equ;   0 cnn)
%            Maximal formula atoms :  765 (   7 avg)
%            Number of connectives : 9217 (2261   ~;2706   |; 486   &;3264   @)
%                                         (   0 <=>; 256  =>; 244  <=;   0 <~>)
%            Maximal formula depth :  110 (   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   :  769 (   0   ^; 769   !;   0   ?; 769   :)

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

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

thf(a1823_type,type,
    a1823: $i ).

thf(a1768_type,type,
    a1768: $i ).

thf(a1807_type,type,
    a1807: $i ).

thf(a1795_type,type,
    a1795: $i ).

thf(a1780_type,type,
    a1780: $i ).

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

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

thf(a1754_type,type,
    a1754: $i ).

thf(a1762_type,type,
    a1762: $i ).

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

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

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

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

thf(a1755_type,type,
    a1755: $i ).

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

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

thf(a1759_type,type,
    a1759: $i ).

thf(a1783_type,type,
    a1783: $i ).

thf(a1799_type,type,
    a1799: $i ).

thf(a1805_type,type,
    a1805: $i ).

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

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

thf(a1767_type,type,
    a1767: $i ).

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

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

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

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

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

thf(a1766_type,type,
    a1766: $i ).

thf(a1770_type,type,
    a1770: $i ).

thf(a1782_type,type,
    a1782: $i ).

thf(a1788_type,type,
    a1788: $i ).

thf(a1845_type,type,
    a1845: $i ).

thf(a1781_type,type,
    a1781: $i ).

thf(a1779_type,type,
    a1779: $i ).

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

thf(a1786_type,type,
    a1786: $i ).

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

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

thf(a1763_type,type,
    a1763: $i ).

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

thf(a1827_type,type,
    a1827: $i ).

thf(a1757_type,type,
    a1757: $i ).

thf(a1765_type,type,
    a1765: $i ).

thf(a1771_type,type,
    a1771: $i ).

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

thf(a1758_type,type,
    a1758: $i ).

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

thf(a1777_type,type,
    a1777: $i ).

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

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

thf(a1760_type,type,
    a1760: $i ).

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

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

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

thf(a1809_type,type,
    a1809: $i ).

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

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

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

thf(a1756_type,type,
    a1756: $i ).

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

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

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

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

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

thf(co1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & ( c2_1 @ a1754 )
          & ~ ( c0_1 @ a1754 )
          & ~ ( c1_1 @ a1754 ) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & ( c1_1 @ a1755 )
          & ~ ( c0_1 @ a1755 )
          & ~ ( c2_1 @ a1755 ) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & ( c0_1 @ a1757 )
          & ( c1_1 @ a1757 )
          & ~ ( c2_1 @ a1757 ) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & ( c1_1 @ a1758 )
          & ( c2_1 @ a1758 )
          & ~ ( c3_1 @ a1758 ) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & ( c1_1 @ a1759 )
          & ~ ( c2_1 @ a1759 )
          & ~ ( c3_1 @ a1759 ) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & ~ ( c0_1 @ a1760 )
          & ~ ( c2_1 @ a1760 )
          & ~ ( c3_1 @ a1760 ) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & ( c2_1 @ a1762 )
          & ( c3_1 @ a1762 )
          & ~ ( c0_1 @ a1762 ) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & ( c0_1 @ a1763 )
          & ( c3_1 @ a1763 )
          & ~ ( c1_1 @ a1763 ) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & ( c0_1 @ a1765 )
          & ( c2_1 @ a1765 )
          & ~ ( c1_1 @ a1765 ) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & ( c0_1 @ a1766 )
          & ~ ( c1_1 @ a1766 )
          & ~ ( c2_1 @ a1766 ) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & ( c3_1 @ a1767 )
          & ~ ( c0_1 @ a1767 )
          & ~ ( c1_1 @ a1767 ) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & ( c0_1 @ a1768 )
          & ( c3_1 @ a1768 )
          & ~ ( c2_1 @ a1768 ) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & ( c1_1 @ a1770 )
          & ~ ( c0_1 @ a1770 )
          & ~ ( c3_1 @ a1770 ) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & ( c1_1 @ a1771 )
          & ( c2_1 @ a1771 )
          & ~ ( c0_1 @ a1771 ) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & ( c2_1 @ a1777 )
          & ~ ( c0_1 @ a1777 )
          & ~ ( c3_1 @ a1777 ) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & ( c0_1 @ a1779 )
          & ~ ( c2_1 @ a1779 )
          & ~ ( c3_1 @ a1779 ) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & ( c1_1 @ a1780 )
          & ( c3_1 @ a1780 )
          & ~ ( c2_1 @ a1780 ) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & ( c2_1 @ a1781 )
          & ( c3_1 @ a1781 )
          & ~ ( c1_1 @ a1781 ) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & ~ ( c1_1 @ a1782 )
          & ~ ( c2_1 @ a1782 )
          & ~ ( c3_1 @ a1782 ) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & ( c1_1 @ a1783 )
          & ( c3_1 @ a1783 )
          & ~ ( c0_1 @ a1783 ) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & ( c0_1 @ a1786 )
          & ( c1_1 @ a1786 )
          & ~ ( c3_1 @ a1786 ) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & ( c0_1 @ a1788 )
          & ( c2_1 @ a1788 )
          & ~ ( c3_1 @ a1788 ) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & ( c3_1 @ a1799 )
          & ~ ( c0_1 @ a1799 )
          & ~ ( c2_1 @ a1799 ) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & ~ ( c0_1 @ a1807 )
          & ~ ( c1_1 @ a1807 )
          & ~ ( c3_1 @ a1807 ) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & ( c0_1 @ a1809 )
          & ~ ( c1_1 @ a1809 )
          & ~ ( c3_1 @ a1809 ) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & ~ ( c0_1 @ a1827 )
          & ~ ( c1_1 @ a1827 )
          & ~ ( c2_1 @ a1827 ) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & ( c3_1 @ a1845 )
          & ~ ( c1_1 @ a1845 )
          & ~ ( c2_1 @ a1845 ) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & ( c0_1 @ a1756 )
          & ( c1_1 @ a1756 )
          & ( c3_1 @ a1756 ) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & ( c0_1 @ a1795 )
          & ( c1_1 @ a1795 )
          & ( c2_1 @ a1795 ) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & ( c0_1 @ a1805 )
          & ( c2_1 @ a1805 )
          & ( c3_1 @ a1805 ) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & ( c1_1 @ a1823 )
          & ( c2_1 @ a1823 )
          & ( c3_1 @ a1823 ) ) )
      & ( ! [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 ) ) )
        | hskp0 )
      & ( ! [W: $i] :
            ( ndr1_0
           => ( ( c0_1 @ W )
              | ( c1_1 @ W )
              | ( c2_1 @ W ) ) )
        | ! [X: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X )
              | ( c3_1 @ X )
              | ~ ( c2_1 @ X ) ) )
        | hskp1 )
      & ( ! [Y: $i] :
            ( ndr1_0
           => ( ( c0_1 @ Y )
              | ( c1_1 @ Y )
              | ( c3_1 @ Y ) ) )
        | hskp27
        | hskp2 )
      & ( ! [Z: $i] :
            ( ndr1_0
           => ( ( c0_1 @ Z )
              | ( c1_1 @ Z )
              | ( c3_1 @ Z ) ) )
        | hskp3
        | hskp4 )
      & ( ! [X1: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X1 )
              | ( c1_1 @ X1 )
              | ~ ( c2_1 @ X1 ) ) )
        | ! [X2: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X2 )
              | ( c2_1 @ X2 )
              | ~ ( c0_1 @ X2 ) ) )
        | hskp5 )
      & ( ! [X3: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X3 )
              | ( c1_1 @ X3 )
              | ~ ( c2_1 @ X3 ) ) )
        | hskp4
        | hskp6 )
      & ( ! [X4: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X4 )
              | ( c1_1 @ X4 )
              | ~ ( c3_1 @ X4 ) ) )
        | ! [X5: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X5 )
              | ( c2_1 @ X5 )
              | ~ ( c1_1 @ X5 ) ) )
        | hskp7 )
      & ( ! [X6: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X6 )
              | ( c1_1 @ X6 )
              | ~ ( c3_1 @ X6 ) ) )
        | ! [X7: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X7 )
              | ~ ( c1_1 @ X7 )
              | ~ ( c2_1 @ X7 ) ) )
        | ! [X8: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X8 )
              | ~ ( c0_1 @ X8 )
              | ~ ( c2_1 @ X8 ) ) ) )
      & ( ! [X9: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X9 )
              | ( c1_1 @ X9 )
              | ~ ( c3_1 @ X9 ) ) )
        | ! [X10: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X10 )
              | ~ ( c0_1 @ X10 )
              | ~ ( c1_1 @ X10 ) ) )
        | ! [X11: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X11 )
              | ~ ( c1_1 @ X11 )
              | ~ ( c2_1 @ X11 ) ) ) )
      & ( ! [X12: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X12 )
              | ( c1_1 @ X12 )
              | ~ ( c3_1 @ X12 ) ) )
        | ! [X13: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X13 )
              | ~ ( c2_1 @ X13 )
              | ~ ( c3_1 @ X13 ) ) )
        | ! [X14: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X14 )
              | ~ ( c2_1 @ X14 )
              | ~ ( c3_1 @ X14 ) ) ) )
      & ( ! [X15: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X15 )
              | ( c1_1 @ X15 )
              | ~ ( c3_1 @ X15 ) ) )
        | ! [X16: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X16 )
              | ~ ( c2_1 @ X16 )
              | ~ ( c3_1 @ X16 ) ) )
        | hskp6 )
      & ( ! [X17: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X17 )
              | ( c1_1 @ X17 )
              | ~ ( c3_1 @ X17 ) ) )
        | ! [X18: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X18 )
              | ~ ( c2_1 @ X18 )
              | ~ ( c3_1 @ X18 ) ) )
        | hskp8 )
      & ( ! [X19: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X19 )
              | ( c2_1 @ X19 )
              | ( c3_1 @ X19 ) ) )
        | ! [X20: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X20 )
              | ( c2_1 @ X20 )
              | ( c3_1 @ X20 ) ) )
        | ! [X21: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X21 )
              | ~ ( c2_1 @ X21 )
              | ~ ( c3_1 @ X21 ) ) ) )
      & ( ! [X22: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X22 )
              | ( c2_1 @ X22 )
              | ( c3_1 @ X22 ) ) )
        | ! [X23: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X23 )
              | ( c2_1 @ X23 )
              | ~ ( c0_1 @ X23 ) ) )
        | ! [X24: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X24 )
              | ~ ( c2_1 @ X24 )
              | ~ ( c3_1 @ X24 ) ) ) )
      & ( ! [X25: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X25 )
              | ( c2_1 @ X25 )
              | ( c3_1 @ X25 ) ) )
        | hskp9
        | hskp10 )
      & ( ! [X26: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X26 )
              | ( c2_1 @ X26 )
              | ~ ( c1_1 @ X26 ) ) )
        | ! [X27: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X27 )
              | ~ ( c0_1 @ X27 )
              | ~ ( c3_1 @ X27 ) ) )
        | hskp11 )
      & ( ! [X28: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X28 )
              | ( c2_1 @ X28 )
              | ~ ( c1_1 @ X28 ) ) )
        | hskp27
        | hskp12 )
      & ( ! [X29: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X29 )
              | ( c2_1 @ X29 )
              | ~ ( c3_1 @ X29 ) ) )
        | ! [X30: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X30 )
              | ( c3_1 @ X30 )
              | ~ ( c1_1 @ X30 ) ) )
        | hskp13 )
      & ( ! [X31: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X31 )
              | ( c2_1 @ X31 )
              | ~ ( c3_1 @ X31 ) ) )
        | ! [X32: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X32 )
              | ( c2_1 @ X32 )
              | ( c3_1 @ X32 ) ) )
        | hskp2 )
      & ( ! [X33: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X33 )
              | ( c2_1 @ X33 )
              | ~ ( c3_1 @ X33 ) ) )
        | ! [X34: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X34 )
              | ( c2_1 @ X34 )
              | ( c3_1 @ X34 ) ) )
        | hskp13 )
      & ( ! [X35: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X35 )
              | ( c2_1 @ X35 )
              | ~ ( c3_1 @ X35 ) ) )
        | ! [X36: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X36 )
              | ( c2_1 @ X36 )
              | ~ ( c0_1 @ X36 ) ) )
        | hskp27 )
      & ( ! [X37: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X37 )
              | ( c2_1 @ X37 )
              | ~ ( c3_1 @ X37 ) ) )
        | ! [X38: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X38 )
              | ( c3_1 @ X38 )
              | ~ ( c0_1 @ X38 ) ) )
        | hskp10 )
      & ( ! [X39: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X39 )
              | ( c2_1 @ X39 )
              | ~ ( c3_1 @ X39 ) ) )
        | ! [X40: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X40 )
              | ~ ( c0_1 @ X40 )
              | ~ ( c3_1 @ X40 ) ) )
        | hskp10 )
      & ( ! [X41: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X41 )
              | ( c2_1 @ X41 )
              | ~ ( c3_1 @ X41 ) ) )
        | ! [X42: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X42 )
              | ~ ( c0_1 @ X42 )
              | ~ ( c2_1 @ X42 ) ) )
        | hskp14 )
      & ( ! [X43: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X43 )
              | ( c2_1 @ X43 )
              | ~ ( c3_1 @ X43 ) ) )
        | ! [X44: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X44 )
              | ~ ( c1_1 @ X44 )
              | ~ ( c3_1 @ X44 ) ) )
        | hskp3 )
      & ( ! [X45: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X45 )
              | ( c2_1 @ X45 )
              | ~ ( c3_1 @ X45 ) ) )
        | hskp15
        | hskp16 )
      & ( ! [X46: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X46 )
              | ( c3_1 @ X46 )
              | ~ ( c1_1 @ X46 ) ) )
        | ! [X47: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X47 )
              | ~ ( c2_1 @ X47 )
              | ~ ( c3_1 @ X47 ) ) )
        | hskp17 )
      & ( ! [X48: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X48 )
              | ( c3_1 @ X48 )
              | ~ ( c1_1 @ X48 ) ) )
        | ! [X49: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X49 )
              | ~ ( c0_1 @ X49 )
              | ~ ( c1_1 @ X49 ) ) )
        | hskp18 )
      & ( ! [X50: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X50 )
              | ( c3_1 @ X50 )
              | ~ ( c1_1 @ X50 ) ) )
        | hskp19
        | hskp6 )
      & ( ! [X51: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X51 )
              | ( c3_1 @ X51 )
              | ~ ( c2_1 @ X51 ) ) )
        | ! [X52: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X52 )
              | ~ ( c0_1 @ X52 )
              | ~ ( c3_1 @ X52 ) ) )
        | ! [X53: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X53 )
              | ~ ( c2_1 @ X53 )
              | ~ ( c3_1 @ X53 ) ) ) )
      & ( ! [X54: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X54 )
              | ( c3_1 @ X54 )
              | ~ ( c2_1 @ X54 ) ) )
        | ! [X55: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X55 )
              | ~ ( c0_1 @ X55 )
              | ~ ( c3_1 @ X55 ) ) )
        | hskp11 )
      & ( ! [X56: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X56 )
              | ( c3_1 @ X56 )
              | ~ ( c2_1 @ X56 ) ) )
        | hskp20
        | hskp6 )
      & ( ! [X57: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X57 )
              | ~ ( c1_1 @ X57 )
              | ~ ( c2_1 @ X57 ) ) )
        | ! [X58: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X58 )
              | ~ ( c0_1 @ X58 )
              | ~ ( c2_1 @ X58 ) ) )
        | hskp21 )
      & ( ! [X59: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X59 )
              | ~ ( c1_1 @ X59 )
              | ~ ( c2_1 @ X59 ) ) )
        | ! [X60: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X60 )
              | ~ ( c1_1 @ X60 )
              | ~ ( c2_1 @ X60 ) ) )
        | hskp27 )
      & ( ! [X61: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X61 )
              | ~ ( c1_1 @ X61 )
              | ~ ( c2_1 @ X61 ) ) )
        | hskp13 )
      & ( ! [X62: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X62 )
              | ~ ( c1_1 @ X62 )
              | ~ ( c2_1 @ X62 ) ) )
        | hskp3
        | hskp6 )
      & ( ! [X63: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X63 )
              | ~ ( c1_1 @ X63 )
              | ~ ( c3_1 @ X63 ) ) )
        | ! [X64: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X64 )
              | ~ ( c0_1 @ X64 )
              | ~ ( c2_1 @ X64 ) ) )
        | ! [X65: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X65 )
              | ~ ( c0_1 @ X65 )
              | ~ ( c1_1 @ X65 ) ) ) )
      & ( ! [X66: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X66 )
              | ~ ( c1_1 @ X66 )
              | ~ ( c3_1 @ X66 ) ) )
        | ! [X67: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X67 )
              | ~ ( c0_1 @ X67 )
              | ~ ( c1_1 @ X67 ) ) )
        | hskp3 )
      & ( ! [X68: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X68 )
              | ~ ( c1_1 @ X68 )
              | ~ ( c3_1 @ X68 ) ) )
        | ! [X69: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X69 )
              | ~ ( c2_1 @ X69 )
              | ~ ( c3_1 @ X69 ) ) )
        | hskp17 )
      & ( ! [X70: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X70 )
              | ~ ( c1_1 @ X70 )
              | ~ ( c3_1 @ X70 ) ) )
        | hskp28
        | hskp1 )
      & ( ! [X71: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X71 )
              | ~ ( c2_1 @ X71 )
              | ~ ( c3_1 @ X71 ) ) )
        | ! [X72: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X72 )
              | ( c2_1 @ X72 )
              | ~ ( c0_1 @ X72 ) ) )
        | ! [X73: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X73 )
              | ~ ( c2_1 @ X73 )
              | ~ ( c3_1 @ X73 ) ) ) )
      & ( ! [X74: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X74 )
              | ~ ( c2_1 @ X74 )
              | ~ ( c3_1 @ X74 ) ) )
        | ! [X75: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X75 )
              | ( c2_1 @ X75 )
              | ~ ( c3_1 @ X75 ) ) )
        | ! [X76: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X76 )
              | ~ ( c2_1 @ X76 )
              | ~ ( c3_1 @ X76 ) ) ) )
      & ( ! [X77: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X77 )
              | ~ ( c2_1 @ X77 )
              | ~ ( c3_1 @ X77 ) ) )
        | ! [X78: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X78 )
              | ~ ( c2_1 @ X78 )
              | ~ ( c3_1 @ X78 ) ) )
        | hskp16 )
      & ( ! [X79: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X79 )
              | ~ ( c2_1 @ X79 )
              | ~ ( c3_1 @ X79 ) ) )
        | hskp27
        | hskp22 )
      & ( ! [X80: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X80 )
              | ~ ( c2_1 @ X80 )
              | ~ ( c3_1 @ X80 ) ) )
        | hskp20
        | hskp8 )
      & ( ! [X81: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X81 )
              | ~ ( c2_1 @ X81 )
              | ~ ( c3_1 @ X81 ) ) )
        | hskp8
        | hskp4 )
      & ( ! [X82: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X82 )
              | ( c2_1 @ X82 )
              | ( c3_1 @ X82 ) ) )
        | hskp11 )
      & ( ! [X83: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X83 )
              | ( c2_1 @ X83 )
              | ~ ( c3_1 @ X83 ) ) )
        | ! [X84: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X84 )
              | ( c3_1 @ X84 )
              | ~ ( c0_1 @ X84 ) ) )
        | hskp29 )
      & ( ! [X85: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X85 )
              | ( c2_1 @ X85 )
              | ~ ( c3_1 @ X85 ) ) )
        | ! [X86: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X86 )
              | ~ ( c1_1 @ X86 )
              | ~ ( c3_1 @ X86 ) ) )
        | hskp0 )
      & ( ! [X87: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X87 )
              | ( c3_1 @ X87 )
              | ~ ( c0_1 @ X87 ) ) )
        | ! [X88: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X88 )
              | ~ ( c0_1 @ X88 )
              | ~ ( c1_1 @ X88 ) ) )
        | hskp23 )
      & ( ! [X89: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X89 )
              | ( c3_1 @ X89 )
              | ~ ( c0_1 @ X89 ) ) )
        | ! [X90: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X90 )
              | ~ ( c0_1 @ X90 )
              | ~ ( c2_1 @ X90 ) ) )
        | hskp2 )
      & ( ! [X91: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X91 )
              | ( c3_1 @ X91 )
              | ~ ( c0_1 @ X91 ) ) )
        | ! [X92: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X92 )
              | ~ ( c2_1 @ X92 )
              | ~ ( c3_1 @ X92 ) ) )
        | hskp24 )
      & ( ! [X93: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X93 )
              | ( c3_1 @ X93 )
              | ~ ( c2_1 @ X93 ) ) )
        | ! [X94: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X94 )
              | ( c3_1 @ X94 )
              | ~ ( c0_1 @ X94 ) ) )
        | hskp15 )
      & ( ! [X95: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X95 )
              | ( c3_1 @ X95 )
              | ~ ( c2_1 @ X95 ) ) )
        | ! [X96: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X96 )
              | ~ ( c1_1 @ X96 )
              | ~ ( c3_1 @ X96 ) ) )
        | hskp23 )
      & ( ! [X97: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X97 )
              | ( c3_1 @ X97 )
              | ~ ( c2_1 @ X97 ) ) )
        | ! [X98: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X98 )
              | ~ ( c0_1 @ X98 )
              | ~ ( c1_1 @ X98 ) ) )
        | hskp15 )
      & ( ! [X99: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X99 )
              | ( c3_1 @ X99 )
              | ~ ( c2_1 @ X99 ) ) )
        | ! [X100: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X100 )
              | ~ ( c1_1 @ X100 )
              | ~ ( c2_1 @ X100 ) ) )
        | hskp22 )
      & ( ! [X101: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X101 )
              | ( c3_1 @ X101 )
              | ~ ( c2_1 @ X101 ) ) )
        | ! [X102: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X102 )
              | ~ ( c2_1 @ X102 )
              | ~ ( c3_1 @ X102 ) ) )
        | hskp18 )
      & ( ! [X103: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X103 )
              | ~ ( c0_1 @ X103 )
              | ~ ( c2_1 @ X103 ) ) )
        | ! [X104: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X104 )
              | ~ ( c0_1 @ X104 )
              | ~ ( c1_1 @ X104 ) ) )
        | ! [X105: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X105 )
              | ~ ( c1_1 @ X105 )
              | ~ ( c2_1 @ X105 ) ) ) )
      & ( ! [X106: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X106 )
              | ~ ( c0_1 @ X106 )
              | ~ ( c3_1 @ X106 ) ) )
        | ! [X107: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X107 )
              | ~ ( c1_1 @ X107 )
              | ~ ( c2_1 @ X107 ) ) )
        | hskp5 )
      & ( ! [X108: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X108 )
              | ( c3_1 @ X108 )
              | ~ ( c0_1 @ X108 ) ) )
        | ! [X109: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X109 )
              | ~ ( c2_1 @ X109 )
              | ~ ( c3_1 @ X109 ) ) )
        | hskp18 )
      & ( ! [X110: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X110 )
              | ( c3_1 @ X110 )
              | ~ ( c0_1 @ X110 ) ) )
        | hskp15
        | hskp17 )
      & ( ! [X111: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X111 )
              | ~ ( c0_1 @ X111 )
              | ~ ( c1_1 @ X111 ) ) )
        | hskp13
        | hskp19 )
      & ( ! [X112: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X112 )
              | ~ ( c1_1 @ X112 )
              | ~ ( c3_1 @ X112 ) ) )
        | ! [X113: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X113 )
              | ~ ( c1_1 @ X113 )
              | ~ ( c2_1 @ X113 ) ) )
        | hskp28 )
      & ( ! [X114: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X114 )
              | ~ ( c0_1 @ X114 )
              | ~ ( c1_1 @ X114 ) ) )
        | ! [X115: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X115 )
              | ~ ( c1_1 @ X115 )
              | ~ ( c2_1 @ X115 ) ) )
        | ! [X116: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X116 )
              | ~ ( c2_1 @ X116 )
              | ~ ( c3_1 @ X116 ) ) ) )
      & ( ! [X117: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X117 )
              | ~ ( c1_1 @ X117 )
              | ~ ( c2_1 @ X117 ) ) )
        | hskp29
        | hskp30 )
      & ( ! [X118: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X118 )
              | ~ ( c1_1 @ X118 )
              | ~ ( c2_1 @ X118 ) ) )
        | hskp24
        | hskp16 )
      & ( ! [X119: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X119 )
              | ~ ( c1_1 @ X119 )
              | ~ ( c2_1 @ X119 ) ) )
        | hskp3
        | hskp25 )
      & ( ! [X120: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X120 )
              | ~ ( c1_1 @ X120 )
              | ~ ( c2_1 @ X120 ) ) )
        | hskp29
        | hskp4 )
      & ( ! [X121: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X121 )
              | ~ ( c1_1 @ X121 )
              | ~ ( c3_1 @ X121 ) ) )
        | hskp23
        | hskp5 )
      & ( ! [X122: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X122 )
              | ~ ( c2_1 @ X122 )
              | ~ ( c3_1 @ X122 ) ) )
        | hskp16
        | hskp22 )
      & ( hskp28
        | hskp1
        | hskp4 )
      & ( hskp2
        | hskp8
        | hskp14 )
      & ( hskp2
        | hskp4
        | hskp25 )
      & ( hskp20
        | hskp10
        | hskp26 )
      & ( hskp11
        | hskp0
        | hskp26 )
      & ( hskp15
        | hskp10
        | hskp22 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( ~ hskp0
      | ( ndr1_0
        & ( c2_1 @ a1754 )
        & ~ ( c0_1 @ a1754 )
        & ~ ( c1_1 @ a1754 ) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ( c1_1 @ a1755 )
        & ~ ( c0_1 @ a1755 )
        & ~ ( c2_1 @ a1755 ) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ( c0_1 @ a1757 )
        & ( c1_1 @ a1757 )
        & ~ ( c2_1 @ a1757 ) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ( c1_1 @ a1758 )
        & ( c2_1 @ a1758 )
        & ~ ( c3_1 @ a1758 ) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ( c1_1 @ a1759 )
        & ~ ( c2_1 @ a1759 )
        & ~ ( c3_1 @ a1759 ) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ~ ( c0_1 @ a1760 )
        & ~ ( c2_1 @ a1760 )
        & ~ ( c3_1 @ a1760 ) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ( c2_1 @ a1762 )
        & ( c3_1 @ a1762 )
        & ~ ( c0_1 @ a1762 ) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & ( c0_1 @ a1763 )
        & ( c3_1 @ a1763 )
        & ~ ( c1_1 @ a1763 ) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ( c0_1 @ a1765 )
        & ( c2_1 @ a1765 )
        & ~ ( c1_1 @ a1765 ) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ( c0_1 @ a1766 )
        & ~ ( c1_1 @ a1766 )
        & ~ ( c2_1 @ a1766 ) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ( c3_1 @ a1767 )
        & ~ ( c0_1 @ a1767 )
        & ~ ( c1_1 @ a1767 ) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ( c0_1 @ a1768 )
        & ( c3_1 @ a1768 )
        & ~ ( c2_1 @ a1768 ) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ( c1_1 @ a1770 )
        & ~ ( c0_1 @ a1770 )
        & ~ ( c3_1 @ a1770 ) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & ( c1_1 @ a1771 )
        & ( c2_1 @ a1771 )
        & ~ ( c0_1 @ a1771 ) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ( c2_1 @ a1777 )
        & ~ ( c0_1 @ a1777 )
        & ~ ( c3_1 @ a1777 ) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & ( c0_1 @ a1779 )
        & ~ ( c2_1 @ a1779 )
        & ~ ( c3_1 @ a1779 ) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & ( c1_1 @ a1780 )
        & ( c3_1 @ a1780 )
        & ~ ( c2_1 @ a1780 ) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ( c2_1 @ a1781 )
        & ( c3_1 @ a1781 )
        & ~ ( c1_1 @ a1781 ) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ~ ( c1_1 @ a1782 )
        & ~ ( c2_1 @ a1782 )
        & ~ ( c3_1 @ a1782 ) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ( c1_1 @ a1783 )
        & ( c3_1 @ a1783 )
        & ~ ( c0_1 @ a1783 ) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ( c0_1 @ a1786 )
        & ( c1_1 @ a1786 )
        & ~ ( c3_1 @ a1786 ) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & ( c0_1 @ a1788 )
        & ( c2_1 @ a1788 )
        & ~ ( c3_1 @ a1788 ) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ( c3_1 @ a1799 )
        & ~ ( c0_1 @ a1799 )
        & ~ ( c2_1 @ a1799 ) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ~ ( c0_1 @ a1807 )
        & ~ ( c1_1 @ a1807 )
        & ~ ( c3_1 @ a1807 ) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ( c0_1 @ a1809 )
        & ~ ( c1_1 @ a1809 )
        & ~ ( c3_1 @ a1809 ) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ~ ( c0_1 @ a1827 )
        & ~ ( c1_1 @ a1827 )
        & ~ ( c2_1 @ a1827 ) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ( c3_1 @ a1845 )
        & ~ ( c1_1 @ a1845 )
        & ~ ( c2_1 @ a1845 ) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ( c0_1 @ a1756 )
        & ( c1_1 @ a1756 )
        & ( c3_1 @ a1756 ) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & ( c0_1 @ a1795 )
        & ( c1_1 @ a1795 )
        & ( c2_1 @ a1795 ) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & ( c0_1 @ a1805 )
        & ( c2_1 @ a1805 )
        & ( c3_1 @ a1805 ) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & ( c1_1 @ a1823 )
        & ( c2_1 @ a1823 )
        & ( c3_1 @ a1823 ) ) )
    & ( ! [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 ) ) )
      | hskp0 )
    & ( ! [W: $i] :
          ( ndr1_0
         => ( ( c0_1 @ W )
            | ( c1_1 @ W )
            | ( c2_1 @ W ) ) )
      | ! [X: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X )
            | ( c3_1 @ X )
            | ~ ( c2_1 @ X ) ) )
      | hskp1 )
    & ( ! [Y: $i] :
          ( ndr1_0
         => ( ( c0_1 @ Y )
            | ( c1_1 @ Y )
            | ( c3_1 @ Y ) ) )
      | hskp27
      | hskp2 )
    & ( ! [Z: $i] :
          ( ndr1_0
         => ( ( c0_1 @ Z )
            | ( c1_1 @ Z )
            | ( c3_1 @ Z ) ) )
      | hskp3
      | hskp4 )
    & ( ! [X1: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X1 )
            | ( c1_1 @ X1 )
            | ~ ( c2_1 @ X1 ) ) )
      | ! [X2: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X2 )
            | ( c2_1 @ X2 )
            | ~ ( c0_1 @ X2 ) ) )
      | hskp5 )
    & ( ! [X3: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X3 )
            | ( c1_1 @ X3 )
            | ~ ( c2_1 @ X3 ) ) )
      | hskp4
      | hskp6 )
    & ( ! [X4: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X4 )
            | ( c1_1 @ X4 )
            | ~ ( c3_1 @ X4 ) ) )
      | ! [X5: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X5 )
            | ( c2_1 @ X5 )
            | ~ ( c1_1 @ X5 ) ) )
      | hskp7 )
    & ( ! [X6: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X6 )
            | ( c1_1 @ X6 )
            | ~ ( c3_1 @ X6 ) ) )
      | ! [X7: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X7 )
            | ~ ( c1_1 @ X7 )
            | ~ ( c2_1 @ X7 ) ) )
      | ! [X8: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X8 )
            | ~ ( c0_1 @ X8 )
            | ~ ( c2_1 @ X8 ) ) ) )
    & ( ! [X9: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X9 )
            | ( c1_1 @ X9 )
            | ~ ( c3_1 @ X9 ) ) )
      | ! [X10: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X10 )
            | ~ ( c0_1 @ X10 )
            | ~ ( c1_1 @ X10 ) ) )
      | ! [X11: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X11 )
            | ~ ( c1_1 @ X11 )
            | ~ ( c2_1 @ X11 ) ) ) )
    & ( ! [X12: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X12 )
            | ( c1_1 @ X12 )
            | ~ ( c3_1 @ X12 ) ) )
      | ! [X13: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X13 )
            | ~ ( c2_1 @ X13 )
            | ~ ( c3_1 @ X13 ) ) )
      | ! [X14: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X14 )
            | ~ ( c2_1 @ X14 )
            | ~ ( c3_1 @ X14 ) ) ) )
    & ( ! [X15: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X15 )
            | ( c1_1 @ X15 )
            | ~ ( c3_1 @ X15 ) ) )
      | ! [X16: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X16 )
            | ~ ( c2_1 @ X16 )
            | ~ ( c3_1 @ X16 ) ) )
      | hskp6 )
    & ( ! [X17: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X17 )
            | ( c1_1 @ X17 )
            | ~ ( c3_1 @ X17 ) ) )
      | ! [X18: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X18 )
            | ~ ( c2_1 @ X18 )
            | ~ ( c3_1 @ X18 ) ) )
      | hskp8 )
    & ( ! [X19: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X19 )
            | ( c2_1 @ X19 )
            | ( c3_1 @ X19 ) ) )
      | ! [X20: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X20 )
            | ( c2_1 @ X20 )
            | ( c3_1 @ X20 ) ) )
      | ! [X21: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X21 )
            | ~ ( c2_1 @ X21 )
            | ~ ( c3_1 @ X21 ) ) ) )
    & ( ! [X22: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X22 )
            | ( c2_1 @ X22 )
            | ( c3_1 @ X22 ) ) )
      | ! [X23: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X23 )
            | ( c2_1 @ X23 )
            | ~ ( c0_1 @ X23 ) ) )
      | ! [X24: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X24 )
            | ~ ( c2_1 @ X24 )
            | ~ ( c3_1 @ X24 ) ) ) )
    & ( ! [X25: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X25 )
            | ( c2_1 @ X25 )
            | ( c3_1 @ X25 ) ) )
      | hskp9
      | hskp10 )
    & ( ! [X26: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X26 )
            | ( c2_1 @ X26 )
            | ~ ( c1_1 @ X26 ) ) )
      | ! [X27: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X27 )
            | ~ ( c0_1 @ X27 )
            | ~ ( c3_1 @ X27 ) ) )
      | hskp11 )
    & ( ! [X28: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X28 )
            | ( c2_1 @ X28 )
            | ~ ( c1_1 @ X28 ) ) )
      | hskp27
      | hskp12 )
    & ( ! [X29: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X29 )
            | ( c2_1 @ X29 )
            | ~ ( c3_1 @ X29 ) ) )
      | ! [X30: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X30 )
            | ( c3_1 @ X30 )
            | ~ ( c1_1 @ X30 ) ) )
      | hskp13 )
    & ( ! [X31: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X31 )
            | ( c2_1 @ X31 )
            | ~ ( c3_1 @ X31 ) ) )
      | ! [X32: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X32 )
            | ( c2_1 @ X32 )
            | ( c3_1 @ X32 ) ) )
      | hskp2 )
    & ( ! [X33: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X33 )
            | ( c2_1 @ X33 )
            | ~ ( c3_1 @ X33 ) ) )
      | ! [X34: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X34 )
            | ( c2_1 @ X34 )
            | ( c3_1 @ X34 ) ) )
      | hskp13 )
    & ( ! [X35: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X35 )
            | ( c2_1 @ X35 )
            | ~ ( c3_1 @ X35 ) ) )
      | ! [X36: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X36 )
            | ( c2_1 @ X36 )
            | ~ ( c0_1 @ X36 ) ) )
      | hskp27 )
    & ( ! [X37: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X37 )
            | ( c2_1 @ X37 )
            | ~ ( c3_1 @ X37 ) ) )
      | ! [X38: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X38 )
            | ( c3_1 @ X38 )
            | ~ ( c0_1 @ X38 ) ) )
      | hskp10 )
    & ( ! [X39: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X39 )
            | ( c2_1 @ X39 )
            | ~ ( c3_1 @ X39 ) ) )
      | ! [X40: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X40 )
            | ~ ( c0_1 @ X40 )
            | ~ ( c3_1 @ X40 ) ) )
      | hskp10 )
    & ( ! [X41: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X41 )
            | ( c2_1 @ X41 )
            | ~ ( c3_1 @ X41 ) ) )
      | ! [X42: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X42 )
            | ~ ( c0_1 @ X42 )
            | ~ ( c2_1 @ X42 ) ) )
      | hskp14 )
    & ( ! [X43: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X43 )
            | ( c2_1 @ X43 )
            | ~ ( c3_1 @ X43 ) ) )
      | ! [X44: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X44 )
            | ~ ( c1_1 @ X44 )
            | ~ ( c3_1 @ X44 ) ) )
      | hskp3 )
    & ( ! [X45: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X45 )
            | ( c2_1 @ X45 )
            | ~ ( c3_1 @ X45 ) ) )
      | hskp15
      | hskp16 )
    & ( ! [X46: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X46 )
            | ( c3_1 @ X46 )
            | ~ ( c1_1 @ X46 ) ) )
      | ! [X47: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X47 )
            | ~ ( c2_1 @ X47 )
            | ~ ( c3_1 @ X47 ) ) )
      | hskp17 )
    & ( ! [X48: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X48 )
            | ( c3_1 @ X48 )
            | ~ ( c1_1 @ X48 ) ) )
      | ! [X49: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X49 )
            | ~ ( c0_1 @ X49 )
            | ~ ( c1_1 @ X49 ) ) )
      | hskp18 )
    & ( ! [X50: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X50 )
            | ( c3_1 @ X50 )
            | ~ ( c1_1 @ X50 ) ) )
      | hskp19
      | hskp6 )
    & ( ! [X51: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X51 )
            | ( c3_1 @ X51 )
            | ~ ( c2_1 @ X51 ) ) )
      | ! [X52: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X52 )
            | ~ ( c0_1 @ X52 )
            | ~ ( c3_1 @ X52 ) ) )
      | ! [X53: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X53 )
            | ~ ( c2_1 @ X53 )
            | ~ ( c3_1 @ X53 ) ) ) )
    & ( ! [X54: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X54 )
            | ( c3_1 @ X54 )
            | ~ ( c2_1 @ X54 ) ) )
      | ! [X55: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X55 )
            | ~ ( c0_1 @ X55 )
            | ~ ( c3_1 @ X55 ) ) )
      | hskp11 )
    & ( ! [X56: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X56 )
            | ( c3_1 @ X56 )
            | ~ ( c2_1 @ X56 ) ) )
      | hskp20
      | hskp6 )
    & ( ! [X57: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X57 )
            | ~ ( c1_1 @ X57 )
            | ~ ( c2_1 @ X57 ) ) )
      | ! [X58: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X58 )
            | ~ ( c0_1 @ X58 )
            | ~ ( c2_1 @ X58 ) ) )
      | hskp21 )
    & ( ! [X59: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X59 )
            | ~ ( c1_1 @ X59 )
            | ~ ( c2_1 @ X59 ) ) )
      | ! [X60: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X60 )
            | ~ ( c1_1 @ X60 )
            | ~ ( c2_1 @ X60 ) ) )
      | hskp27 )
    & ( ! [X61: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X61 )
            | ~ ( c1_1 @ X61 )
            | ~ ( c2_1 @ X61 ) ) )
      | hskp13 )
    & ( ! [X62: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X62 )
            | ~ ( c1_1 @ X62 )
            | ~ ( c2_1 @ X62 ) ) )
      | hskp3
      | hskp6 )
    & ( ! [X63: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X63 )
            | ~ ( c1_1 @ X63 )
            | ~ ( c3_1 @ X63 ) ) )
      | ! [X64: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X64 )
            | ~ ( c0_1 @ X64 )
            | ~ ( c2_1 @ X64 ) ) )
      | ! [X65: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X65 )
            | ~ ( c0_1 @ X65 )
            | ~ ( c1_1 @ X65 ) ) ) )
    & ( ! [X66: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X66 )
            | ~ ( c1_1 @ X66 )
            | ~ ( c3_1 @ X66 ) ) )
      | ! [X67: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X67 )
            | ~ ( c0_1 @ X67 )
            | ~ ( c1_1 @ X67 ) ) )
      | hskp3 )
    & ( ! [X68: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X68 )
            | ~ ( c1_1 @ X68 )
            | ~ ( c3_1 @ X68 ) ) )
      | ! [X69: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X69 )
            | ~ ( c2_1 @ X69 )
            | ~ ( c3_1 @ X69 ) ) )
      | hskp17 )
    & ( ! [X70: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X70 )
            | ~ ( c1_1 @ X70 )
            | ~ ( c3_1 @ X70 ) ) )
      | hskp28
      | hskp1 )
    & ( ! [X71: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X71 )
            | ~ ( c2_1 @ X71 )
            | ~ ( c3_1 @ X71 ) ) )
      | ! [X72: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X72 )
            | ( c2_1 @ X72 )
            | ~ ( c0_1 @ X72 ) ) )
      | ! [X73: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X73 )
            | ~ ( c2_1 @ X73 )
            | ~ ( c3_1 @ X73 ) ) ) )
    & ( ! [X74: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X74 )
            | ~ ( c2_1 @ X74 )
            | ~ ( c3_1 @ X74 ) ) )
      | ! [X75: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X75 )
            | ( c2_1 @ X75 )
            | ~ ( c3_1 @ X75 ) ) )
      | ! [X76: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X76 )
            | ~ ( c2_1 @ X76 )
            | ~ ( c3_1 @ X76 ) ) ) )
    & ( ! [X77: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X77 )
            | ~ ( c2_1 @ X77 )
            | ~ ( c3_1 @ X77 ) ) )
      | ! [X78: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X78 )
            | ~ ( c2_1 @ X78 )
            | ~ ( c3_1 @ X78 ) ) )
      | hskp16 )
    & ( ! [X79: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X79 )
            | ~ ( c2_1 @ X79 )
            | ~ ( c3_1 @ X79 ) ) )
      | hskp27
      | hskp22 )
    & ( ! [X80: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X80 )
            | ~ ( c2_1 @ X80 )
            | ~ ( c3_1 @ X80 ) ) )
      | hskp20
      | hskp8 )
    & ( ! [X81: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X81 )
            | ~ ( c2_1 @ X81 )
            | ~ ( c3_1 @ X81 ) ) )
      | hskp8
      | hskp4 )
    & ( ! [X82: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X82 )
            | ( c2_1 @ X82 )
            | ( c3_1 @ X82 ) ) )
      | hskp11 )
    & ( ! [X83: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X83 )
            | ( c2_1 @ X83 )
            | ~ ( c3_1 @ X83 ) ) )
      | ! [X84: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X84 )
            | ( c3_1 @ X84 )
            | ~ ( c0_1 @ X84 ) ) )
      | hskp29 )
    & ( ! [X85: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X85 )
            | ( c2_1 @ X85 )
            | ~ ( c3_1 @ X85 ) ) )
      | ! [X86: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X86 )
            | ~ ( c1_1 @ X86 )
            | ~ ( c3_1 @ X86 ) ) )
      | hskp0 )
    & ( ! [X87: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X87 )
            | ( c3_1 @ X87 )
            | ~ ( c0_1 @ X87 ) ) )
      | ! [X88: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X88 )
            | ~ ( c0_1 @ X88 )
            | ~ ( c1_1 @ X88 ) ) )
      | hskp23 )
    & ( ! [X89: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X89 )
            | ( c3_1 @ X89 )
            | ~ ( c0_1 @ X89 ) ) )
      | ! [X90: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X90 )
            | ~ ( c0_1 @ X90 )
            | ~ ( c2_1 @ X90 ) ) )
      | hskp2 )
    & ( ! [X91: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X91 )
            | ( c3_1 @ X91 )
            | ~ ( c0_1 @ X91 ) ) )
      | ! [X92: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X92 )
            | ~ ( c2_1 @ X92 )
            | ~ ( c3_1 @ X92 ) ) )
      | hskp24 )
    & ( ! [X93: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X93 )
            | ( c3_1 @ X93 )
            | ~ ( c2_1 @ X93 ) ) )
      | ! [X94: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X94 )
            | ( c3_1 @ X94 )
            | ~ ( c0_1 @ X94 ) ) )
      | hskp15 )
    & ( ! [X95: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X95 )
            | ( c3_1 @ X95 )
            | ~ ( c2_1 @ X95 ) ) )
      | ! [X96: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X96 )
            | ~ ( c1_1 @ X96 )
            | ~ ( c3_1 @ X96 ) ) )
      | hskp23 )
    & ( ! [X97: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X97 )
            | ( c3_1 @ X97 )
            | ~ ( c2_1 @ X97 ) ) )
      | ! [X98: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X98 )
            | ~ ( c0_1 @ X98 )
            | ~ ( c1_1 @ X98 ) ) )
      | hskp15 )
    & ( ! [X99: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X99 )
            | ( c3_1 @ X99 )
            | ~ ( c2_1 @ X99 ) ) )
      | ! [X100: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X100 )
            | ~ ( c1_1 @ X100 )
            | ~ ( c2_1 @ X100 ) ) )
      | hskp22 )
    & ( ! [X101: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X101 )
            | ( c3_1 @ X101 )
            | ~ ( c2_1 @ X101 ) ) )
      | ! [X102: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X102 )
            | ~ ( c2_1 @ X102 )
            | ~ ( c3_1 @ X102 ) ) )
      | hskp18 )
    & ( ! [X103: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X103 )
            | ~ ( c0_1 @ X103 )
            | ~ ( c2_1 @ X103 ) ) )
      | ! [X104: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X104 )
            | ~ ( c0_1 @ X104 )
            | ~ ( c1_1 @ X104 ) ) )
      | ! [X105: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X105 )
            | ~ ( c1_1 @ X105 )
            | ~ ( c2_1 @ X105 ) ) ) )
    & ( ! [X106: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X106 )
            | ~ ( c0_1 @ X106 )
            | ~ ( c3_1 @ X106 ) ) )
      | ! [X107: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X107 )
            | ~ ( c1_1 @ X107 )
            | ~ ( c2_1 @ X107 ) ) )
      | hskp5 )
    & ( ! [X108: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X108 )
            | ( c3_1 @ X108 )
            | ~ ( c0_1 @ X108 ) ) )
      | ! [X109: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X109 )
            | ~ ( c2_1 @ X109 )
            | ~ ( c3_1 @ X109 ) ) )
      | hskp18 )
    & ( ! [X110: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X110 )
            | ( c3_1 @ X110 )
            | ~ ( c0_1 @ X110 ) ) )
      | hskp15
      | hskp17 )
    & ( ! [X111: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X111 )
            | ~ ( c0_1 @ X111 )
            | ~ ( c1_1 @ X111 ) ) )
      | hskp13
      | hskp19 )
    & ( ! [X112: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X112 )
            | ~ ( c1_1 @ X112 )
            | ~ ( c3_1 @ X112 ) ) )
      | ! [X113: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X113 )
            | ~ ( c1_1 @ X113 )
            | ~ ( c2_1 @ X113 ) ) )
      | hskp28 )
    & ( ! [X114: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X114 )
            | ~ ( c0_1 @ X114 )
            | ~ ( c1_1 @ X114 ) ) )
      | ! [X115: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X115 )
            | ~ ( c1_1 @ X115 )
            | ~ ( c2_1 @ X115 ) ) )
      | ! [X116: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X116 )
            | ~ ( c2_1 @ X116 )
            | ~ ( c3_1 @ X116 ) ) ) )
    & ( ! [X117: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X117 )
            | ~ ( c1_1 @ X117 )
            | ~ ( c2_1 @ X117 ) ) )
      | hskp29
      | hskp30 )
    & ( ! [X118: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X118 )
            | ~ ( c1_1 @ X118 )
            | ~ ( c2_1 @ X118 ) ) )
      | hskp24
      | hskp16 )
    & ( ! [X119: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X119 )
            | ~ ( c1_1 @ X119 )
            | ~ ( c2_1 @ X119 ) ) )
      | hskp3
      | hskp25 )
    & ( ! [X120: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X120 )
            | ~ ( c1_1 @ X120 )
            | ~ ( c2_1 @ X120 ) ) )
      | hskp29
      | hskp4 )
    & ( ! [X121: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X121 )
            | ~ ( c1_1 @ X121 )
            | ~ ( c3_1 @ X121 ) ) )
      | hskp23
      | hskp5 )
    & ( ! [X122: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X122 )
            | ~ ( c2_1 @ X122 )
            | ~ ( c3_1 @ X122 ) ) )
      | hskp16
      | hskp22 )
    & ( hskp28
      | hskp1
      | hskp4 )
    & ( hskp2
      | hskp8
      | hskp14 )
    & ( hskp2
      | hskp4
      | hskp25 )
    & ( hskp20
      | hskp10
      | hskp26 )
    & ( hskp11
      | hskp0
      | hskp26 )
    & ( hskp15
      | hskp10
      | hskp22 ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl71,plain,
    ! [X120: $i,X121: $i] :
      ( ( c0_1 @ X120 )
      | ( c1_1 @ X120 )
      | ~ ( c2_1 @ X120 )
      | ~ ndr1_0
      | ( c1_1 @ X121 )
      | ( c2_1 @ X121 )
      | ~ ( c0_1 @ X121 )
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('0',plain,
    ( ! [X119: $i] :
        ( ( c0_1 @ X119 )
        | ( c1_1 @ X119 )
        | ~ ( c2_1 @ X119 ) )
    | ! [X50: $i] :
        ( ( c1_1 @ X50 )
        | ( c2_1 @ X50 )
        | ~ ( c0_1 @ X50 ) )
    | ~ ndr1_0
    | hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl71]) ).

thf(zip_derived_cl155,plain,
    ( ~ hskp11
    | ~ ( c2_1 @ a1768 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('1',plain,
    ( ~ ( c2_1 @ a1768 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf(zip_derived_cl154,plain,
    ( ~ hskp11
    | ( c3_1 @ a1768 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('2',plain,
    ( ( c3_1 @ a1768 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl29,plain,
    ! [X40: $i] :
      ( ( c1_1 @ X40 )
      | ( c2_1 @ X40 )
      | ( c3_1 @ X40 )
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('3',plain,
    ( hskp11
    | ! [X40: $i] :
        ( ( c1_1 @ X40 )
        | ( c2_1 @ X40 )
        | ( c3_1 @ X40 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl153,plain,
    ( ~ hskp11
    | ( c0_1 @ a1768 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('4',plain,
    ( ( c0_1 @ a1768 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl45,plain,
    ! [X67: $i,X68: $i] :
      ( ( c0_1 @ X67 )
      | ( c3_1 @ X67 )
      | ~ ( c2_1 @ X67 )
      | ~ ndr1_0
      | ( c2_1 @ X68 )
      | ~ ( c0_1 @ X68 )
      | ~ ( c3_1 @ X68 )
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl372,plain,
    ( ! [X68: $i] :
        ( ( c2_1 @ X68 )
        | ~ ( c0_1 @ X68 )
        | ~ ( c3_1 @ X68 ) )
   <= ! [X68: $i] :
        ( ( c2_1 @ X68 )
        | ~ ( c0_1 @ X68 )
        | ~ ( c3_1 @ X68 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl654,plain,
    ( ~ ( c2_1 @ a1768 )
   <= ~ ( c2_1 @ a1768 ) ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf(zip_derived_cl1651,plain,
    ( ( ~ ( c3_1 @ a1768 )
      | ~ ( c0_1 @ a1768 ) )
   <= ( ~ ( c2_1 @ a1768 )
      & ! [X68: $i] :
          ( ( c2_1 @ X68 )
          | ~ ( c0_1 @ X68 )
          | ~ ( c3_1 @ X68 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl372,zip_derived_cl654]) ).

thf('5',plain,
    ( ~ ! [X68: $i] :
          ( ( c2_1 @ X68 )
          | ~ ( c0_1 @ X68 )
          | ~ ( c3_1 @ X68 ) )
    | ~ ( c0_1 @ a1768 )
    | ~ ( c3_1 @ a1768 )
    | ( c2_1 @ a1768 ) ),
    inference(split,[status(esa)],[zip_derived_cl1651]) ).

thf(zip_derived_cl70,plain,
    ! [X119: $i] :
      ( ( c0_1 @ X119 )
      | ( c1_1 @ X119 )
      | ~ ( c2_1 @ X119 )
      | ~ ndr1_0
      | hskp4
      | hskp6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl472,plain,
    ( ! [X119: $i] :
        ( ( c0_1 @ X119 )
        | ( c1_1 @ X119 )
        | ~ ( c2_1 @ X119 ) )
   <= ! [X119: $i] :
        ( ( c0_1 @ X119 )
        | ( c1_1 @ X119 )
        | ~ ( c2_1 @ X119 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl70]) ).

thf(zip_derived_cl159,plain,
    ( ~ hskp10
    | ~ ( c1_1 @ a1767 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl662,plain,
    ( ~ ( c1_1 @ a1767 )
   <= ~ ( c1_1 @ a1767 ) ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl1969,plain,
    ( ( ~ ( c2_1 @ a1767 )
      | ( c0_1 @ a1767 ) )
   <= ( ~ ( c1_1 @ a1767 )
      & ! [X119: $i] :
          ( ( c0_1 @ X119 )
          | ( c1_1 @ X119 )
          | ~ ( c2_1 @ X119 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl472,zip_derived_cl662]) ).

thf('6',plain,
    ( ~ ( c2_1 @ a1767 )
    | ( c0_1 @ a1767 )
    | ~ ! [X119: $i] :
          ( ( c0_1 @ X119 )
          | ( c1_1 @ X119 )
          | ~ ( c2_1 @ X119 ) )
    | ( c1_1 @ a1767 ) ),
    inference(split,[status(esa)],[zip_derived_cl1969]) ).

thf(zip_derived_cl15,plain,
    ! [X12: $i] :
      ( ( c2_1 @ X12 )
      | ( c3_1 @ X12 )
      | ~ ( c0_1 @ X12 )
      | ~ ndr1_0
      | hskp15
      | hskp17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl254,plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c0_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c0_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl126,plain,
    ( ~ hskp18
    | ~ ( c2_1 @ a1782 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl596,plain,
    ( ~ ( c2_1 @ a1782 )
   <= ~ ( c2_1 @ a1782 ) ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl796,plain,
    ( ( ~ ( c0_1 @ a1782 )
      | ( c3_1 @ a1782 ) )
   <= ( ~ ( c2_1 @ a1782 )
      & ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c3_1 @ X12 )
          | ~ ( c0_1 @ X12 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl254,zip_derived_cl596]) ).

thf('7',plain,
    ( ~ ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c3_1 @ X12 )
          | ~ ( c0_1 @ X12 ) )
    | ~ ( c0_1 @ a1782 )
    | ( c3_1 @ a1782 )
    | ( c2_1 @ a1782 ) ),
    inference(split,[status(esa)],[zip_derived_cl796]) ).

thf(zip_derived_cl114,plain,
    ( ~ hskp21
    | ( c2_1 @ a1788 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl572,plain,
    ( ( c2_1 @ a1788 )
   <= ( c2_1 @ a1788 ) ),
    inference(split,[status(esa)],[zip_derived_cl114]) ).

thf(zip_derived_cl25,plain,
    ! [X32: $i,X33: $i] :
      ( ( c1_1 @ X32 )
      | ( c3_1 @ X32 )
      | ~ ( c0_1 @ X32 )
      | ~ ndr1_0
      | ( c3_1 @ X33 )
      | ~ ( c0_1 @ X33 )
      | ~ ( c2_1 @ X33 )
      | ~ ndr1_0
      | hskp2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl294,plain,
    ( ! [X33: $i] :
        ( ( c3_1 @ X33 )
        | ~ ( c0_1 @ X33 )
        | ~ ( c2_1 @ X33 ) )
   <= ! [X33: $i] :
        ( ( c3_1 @ X33 )
        | ~ ( c0_1 @ X33 )
        | ~ ( c2_1 @ X33 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl1323,plain,
    ( ( ( c3_1 @ a1788 )
      | ~ ( c0_1 @ a1788 ) )
   <= ( ! [X33: $i] :
          ( ( c3_1 @ X33 )
          | ~ ( c0_1 @ X33 )
          | ~ ( c2_1 @ X33 ) )
      & ( c2_1 @ a1788 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl572,zip_derived_cl294]) ).

thf('8',plain,
    ( ~ ! [X33: $i] :
          ( ( c3_1 @ X33 )
          | ~ ( c0_1 @ X33 )
          | ~ ( c2_1 @ X33 ) )
    | ~ ( c2_1 @ a1788 )
    | ( c3_1 @ a1788 )
    | ~ ( c0_1 @ a1788 ) ),
    inference(split,[status(esa)],[zip_derived_cl1323]) ).

thf(zip_derived_cl113,plain,
    ( ~ hskp21
    | ( c0_1 @ a1788 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('9',plain,
    ( ( c0_1 @ a1788 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl113]) ).

thf('10',plain,
    ( ( c2_1 @ a1788 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl114]) ).

thf(zip_derived_cl115,plain,
    ( ~ hskp21
    | ~ ( c3_1 @ a1788 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('11',plain,
    ( ~ ( c3_1 @ a1788 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl115]) ).

thf(zip_derived_cl43,plain,
    ! [X64: $i,X65: $i] :
      ( ( c0_1 @ X64 )
      | ~ ( c1_1 @ X64 )
      | ~ ( c2_1 @ X64 )
      | ~ ndr1_0
      | ( c1_1 @ X65 )
      | ~ ( c0_1 @ X65 )
      | ~ ( c2_1 @ X65 )
      | ~ ndr1_0
      | hskp21 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('12',plain,
    ( hskp21
    | ! [X17: $i] :
        ( ( c1_1 @ X17 )
        | ~ ( c0_1 @ X17 )
        | ~ ( c2_1 @ X17 ) )
    | ~ ndr1_0
    | ! [X60: $i] :
        ( ( c0_1 @ X60 )
        | ~ ( c1_1 @ X60 )
        | ~ ( c2_1 @ X60 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl17,plain,
    ! [X15: $i,X16: $i] :
      ( ( c1_1 @ X15 )
      | ~ ( c0_1 @ X15 )
      | ~ ( c3_1 @ X15 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X16 )
      | ~ ( c1_1 @ X16 )
      | ~ ( c2_1 @ X16 )
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl262,plain,
    ( ! [X15: $i] :
        ( ( c1_1 @ X15 )
        | ~ ( c0_1 @ X15 )
        | ~ ( c3_1 @ X15 ) )
   <= ! [X15: $i] :
        ( ( c1_1 @ X15 )
        | ~ ( c0_1 @ X15 )
        | ~ ( c3_1 @ X15 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl167,plain,
    ( ~ hskp8
    | ~ ( c1_1 @ a1765 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl678,plain,
    ( ~ ( c1_1 @ a1765 )
   <= ~ ( c1_1 @ a1765 ) ),
    inference(split,[status(esa)],[zip_derived_cl167]) ).

thf(zip_derived_cl852,plain,
    ( ( ~ ( c3_1 @ a1765 )
      | ~ ( c0_1 @ a1765 ) )
   <= ( ~ ( c1_1 @ a1765 )
      & ! [X15: $i] :
          ( ( c1_1 @ X15 )
          | ~ ( c0_1 @ X15 )
          | ~ ( c3_1 @ X15 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl262,zip_derived_cl678]) ).

thf('13',plain,
    ( ~ ! [X15: $i] :
          ( ( c1_1 @ X15 )
          | ~ ( c0_1 @ X15 )
          | ~ ( c3_1 @ X15 ) )
    | ~ ( c0_1 @ a1765 )
    | ( c1_1 @ a1765 )
    | ~ ( c3_1 @ a1765 ) ),
    inference(split,[status(esa)],[zip_derived_cl852]) ).

thf(zip_derived_cl34,plain,
    ! [X46: $i,X47: $i,X48: $i] :
      ( ( c0_1 @ X46 )
      | ~ ( c2_1 @ X46 )
      | ~ ( c3_1 @ X46 )
      | ~ ndr1_0
      | ( c1_1 @ X47 )
      | ( c2_1 @ X47 )
      | ~ ( c3_1 @ X47 )
      | ~ ndr1_0
      | ( c1_1 @ X48 )
      | ~ ( c2_1 @ X48 )
      | ~ ( c3_1 @ X48 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl331,plain,
    ( ! [X48: $i] :
        ( ( c1_1 @ X48 )
        | ~ ( c2_1 @ X48 )
        | ~ ( c3_1 @ X48 ) )
   <= ! [X48: $i] :
        ( ( c1_1 @ X48 )
        | ~ ( c2_1 @ X48 )
        | ~ ( c3_1 @ X48 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl678_001,plain,
    ( ~ ( c1_1 @ a1765 )
   <= ~ ( c1_1 @ a1765 ) ),
    inference(split,[status(esa)],[zip_derived_cl167]) ).

thf(zip_derived_cl1445,plain,
    ( ( ~ ( c3_1 @ a1765 )
      | ~ ( c2_1 @ a1765 ) )
   <= ( ~ ( c1_1 @ a1765 )
      & ! [X48: $i] :
          ( ( c1_1 @ X48 )
          | ~ ( c2_1 @ X48 )
          | ~ ( c3_1 @ X48 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl331,zip_derived_cl678]) ).

thf('14',plain,
    ( ~ ! [X48: $i] :
          ( ( c1_1 @ X48 )
          | ~ ( c2_1 @ X48 )
          | ~ ( c3_1 @ X48 ) )
    | ~ ( c3_1 @ a1765 )
    | ( c1_1 @ a1765 )
    | ~ ( c2_1 @ a1765 ) ),
    inference(split,[status(esa)],[zip_derived_cl1445]) ).

thf(zip_derived_cl19,plain,
    ! [X20: $i,X21: $i] :
      ( ( c1_1 @ X20 )
      | ( c3_1 @ X20 )
      | ~ ( c2_1 @ X20 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X21 )
      | ~ ( c2_1 @ X21 )
      | ~ ( c3_1 @ X21 )
      | ~ ndr1_0
      | hskp18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl271,plain,
    ( ! [X20: $i] :
        ( ( c1_1 @ X20 )
        | ( c3_1 @ X20 )
        | ~ ( c2_1 @ X20 ) )
   <= ! [X20: $i] :
        ( ( c1_1 @ X20 )
        | ( c3_1 @ X20 )
        | ~ ( c2_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl678_002,plain,
    ( ~ ( c1_1 @ a1765 )
   <= ~ ( c1_1 @ a1765 ) ),
    inference(split,[status(esa)],[zip_derived_cl167]) ).

thf(zip_derived_cl997,plain,
    ( ( ~ ( c2_1 @ a1765 )
      | ( c3_1 @ a1765 ) )
   <= ( ~ ( c1_1 @ a1765 )
      & ! [X20: $i] :
          ( ( c1_1 @ X20 )
          | ( c3_1 @ X20 )
          | ~ ( c2_1 @ X20 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl271,zip_derived_cl678]) ).

thf('15',plain,
    ( ( c3_1 @ a1765 )
    | ( c1_1 @ a1765 )
    | ~ ! [X20: $i] :
          ( ( c1_1 @ X20 )
          | ( c3_1 @ X20 )
          | ~ ( c2_1 @ X20 ) )
    | ~ ( c2_1 @ a1765 ) ),
    inference(split,[status(esa)],[zip_derived_cl997]) ).

thf(zip_derived_cl331_003,plain,
    ( ! [X48: $i] :
        ( ( c1_1 @ X48 )
        | ~ ( c2_1 @ X48 )
        | ~ ( c3_1 @ X48 ) )
   <= ! [X48: $i] :
        ( ( c1_1 @ X48 )
        | ~ ( c2_1 @ X48 )
        | ~ ( c3_1 @ X48 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl131,plain,
    ( ~ hskp17
    | ~ ( c1_1 @ a1781 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl606,plain,
    ( ~ ( c1_1 @ a1781 )
   <= ~ ( c1_1 @ a1781 ) ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf(zip_derived_cl1448,plain,
    ( ( ~ ( c3_1 @ a1781 )
      | ~ ( c2_1 @ a1781 ) )
   <= ( ~ ( c1_1 @ a1781 )
      & ! [X48: $i] :
          ( ( c1_1 @ X48 )
          | ~ ( c2_1 @ X48 )
          | ~ ( c3_1 @ X48 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl331,zip_derived_cl606]) ).

thf('16',plain,
    ( ~ ! [X48: $i] :
          ( ( c1_1 @ X48 )
          | ~ ( c2_1 @ X48 )
          | ~ ( c3_1 @ X48 ) )
    | ~ ( c2_1 @ a1781 )
    | ( c1_1 @ a1781 )
    | ~ ( c3_1 @ a1781 ) ),
    inference(split,[status(esa)],[zip_derived_cl1448]) ).

thf(zip_derived_cl12,plain,
    ! [X6: $i,X7: $i,X8: $i] :
      ( ( c3_1 @ X6 )
      | ~ ( c0_1 @ X6 )
      | ~ ( c1_1 @ X6 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X7 )
      | ~ ( c1_1 @ X7 )
      | ~ ( c2_1 @ X7 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X8 )
      | ~ ( c2_1 @ X8 )
      | ~ ( c3_1 @ X8 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('17',plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) )
    | ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c1_1 @ X6 ) )
    | ~ ndr1_0
    | ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl118,plain,
    ( ~ hskp20
    | ( c1_1 @ a1786 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl580,plain,
    ( ( c1_1 @ a1786 )
   <= ( c1_1 @ a1786 ) ),
    inference(split,[status(esa)],[zip_derived_cl118]) ).

thf(zip_derived_cl14,plain,
    ! [X11: $i] :
      ( ( c2_1 @ X11 )
      | ~ ( c0_1 @ X11 )
      | ~ ( c1_1 @ X11 )
      | ~ ndr1_0
      | hskp13
      | hskp19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl250,plain,
    ( ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c1_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c1_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl1336,plain,
    ( ( ( c2_1 @ a1786 )
      | ~ ( c0_1 @ a1786 ) )
   <= ( ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c0_1 @ X11 )
          | ~ ( c1_1 @ X11 ) )
      & ( c1_1 @ a1786 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl580,zip_derived_cl250]) ).

thf('18',plain,
    ( ( c2_1 @ a1786 )
    | ~ ( c1_1 @ a1786 )
    | ~ ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c0_1 @ X11 )
          | ~ ( c1_1 @ X11 ) )
    | ~ ( c0_1 @ a1786 ) ),
    inference(split,[status(esa)],[zip_derived_cl1336]) ).

thf('19',plain,
    ( ! [X20: $i] :
        ( ( c1_1 @ X20 )
        | ( c3_1 @ X20 )
        | ~ ( c2_1 @ X20 ) )
    | hskp18
    | ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl57,plain,
    ! [X90: $i,X91: $i] :
      ( ( c0_1 @ X90 )
      | ( c2_1 @ X90 )
      | ~ ( c3_1 @ X90 )
      | ~ ndr1_0
      | ( c1_1 @ X91 )
      | ( c2_1 @ X91 )
      | ( c3_1 @ X91 )
      | ~ ndr1_0
      | hskp2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('20',plain,
    ( hskp2
    | ! [X40: $i] :
        ( ( c1_1 @ X40 )
        | ( c2_1 @ X40 )
        | ( c3_1 @ X40 ) )
    | ~ ndr1_0
    | ! [X77: $i] :
        ( ( c0_1 @ X77 )
        | ( c2_1 @ X77 )
        | ~ ( c3_1 @ X77 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf(zip_derived_cl271_004,plain,
    ( ! [X20: $i] :
        ( ( c1_1 @ X20 )
        | ( c3_1 @ X20 )
        | ~ ( c2_1 @ X20 ) )
   <= ! [X20: $i] :
        ( ( c1_1 @ X20 )
        | ( c3_1 @ X20 )
        | ~ ( c2_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl106,plain,
    ( ~ hskp23
    | ~ ( c1_1 @ a1807 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl556,plain,
    ( ~ ( c1_1 @ a1807 )
   <= ~ ( c1_1 @ a1807 ) ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(zip_derived_cl1002,plain,
    ( ( ~ ( c2_1 @ a1807 )
      | ( c3_1 @ a1807 ) )
   <= ( ~ ( c1_1 @ a1807 )
      & ! [X20: $i] :
          ( ( c1_1 @ X20 )
          | ( c3_1 @ X20 )
          | ~ ( c2_1 @ X20 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl271,zip_derived_cl556]) ).

thf('21',plain,
    ( ~ ( c2_1 @ a1807 )
    | ( c1_1 @ a1807 )
    | ~ ! [X20: $i] :
          ( ( c1_1 @ X20 )
          | ( c3_1 @ X20 )
          | ~ ( c2_1 @ X20 ) )
    | ( c3_1 @ a1807 ) ),
    inference(split,[status(esa)],[zip_derived_cl1002]) ).

thf(zip_derived_cl105,plain,
    ( ~ hskp23
    | ~ ( c0_1 @ a1807 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('22',plain,
    ( ~ ( c0_1 @ a1807 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl105]) ).

thf('23',plain,
    ( ~ ( c1_1 @ a1807 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(zip_derived_cl107,plain,
    ( ~ hskp23
    | ~ ( c3_1 @ a1807 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('24',plain,
    ( ~ ( c3_1 @ a1807 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl107]) ).

thf(zip_derived_cl7,plain,
    ! [X1: $i] :
      ( ~ ( c0_1 @ X1 )
      | ~ ( c1_1 @ X1 )
      | ~ ( c3_1 @ X1 )
      | ~ ndr1_0
      | hskp23
      | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('25',plain,
    ( hskp23
    | ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
    | hskp5
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl177,plain,
    ( ~ hskp5
    | ~ ( c0_1 @ a1760 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('26',plain,
    ( ~ hskp5
    | ~ ( c0_1 @ a1760 ) ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf(zip_derived_cl178,plain,
    ( ~ hskp5
    | ~ ( c2_1 @ a1760 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('27',plain,
    ( ~ hskp5
    | ~ ( c2_1 @ a1760 ) ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl179,plain,
    ( ~ hskp5
    | ~ ( c3_1 @ a1760 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('28',plain,
    ( ~ hskp5
    | ~ ( c3_1 @ a1760 ) ),
    inference(split,[status(esa)],[zip_derived_cl179]) ).

thf(zip_derived_cl61,plain,
    ! [X97: $i] :
      ( ( c0_1 @ X97 )
      | ( c2_1 @ X97 )
      | ( c3_1 @ X97 )
      | ~ ndr1_0
      | hskp9
      | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl436,plain,
    ( ! [X97: $i] :
        ( ( c0_1 @ X97 )
        | ( c2_1 @ X97 )
        | ( c3_1 @ X97 ) )
   <= ! [X97: $i] :
        ( ( c0_1 @ X97 )
        | ( c2_1 @ X97 )
        | ( c3_1 @ X97 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(zip_derived_cl700,plain,
    ( ~ ( c2_1 @ a1760 )
   <= ~ ( c2_1 @ a1760 ) ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl1914,plain,
    ( ( ( c3_1 @ a1760 )
      | ( c0_1 @ a1760 ) )
   <= ( ~ ( c2_1 @ a1760 )
      & ! [X97: $i] :
          ( ( c0_1 @ X97 )
          | ( c2_1 @ X97 )
          | ( c3_1 @ X97 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl436,zip_derived_cl700]) ).

thf('29',plain,
    ( ( c0_1 @ a1760 )
    | ( c2_1 @ a1760 )
    | ~ ! [X97: $i] :
          ( ( c0_1 @ X97 )
          | ( c2_1 @ X97 )
          | ( c3_1 @ X97 ) )
    | ( c3_1 @ a1760 ) ),
    inference(split,[status(esa)],[zip_derived_cl1914]) ).

thf(zip_derived_cl20,plain,
    ! [X22: $i,X23: $i] :
      ( ( c1_1 @ X22 )
      | ( c3_1 @ X22 )
      | ~ ( c2_1 @ X22 )
      | ~ ndr1_0
      | ( c3_1 @ X23 )
      | ~ ( c1_1 @ X23 )
      | ~ ( c2_1 @ X23 )
      | ~ ndr1_0
      | hskp22 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('30',plain,
    ( ! [X20: $i] :
        ( ( c1_1 @ X20 )
        | ( c3_1 @ X20 )
        | ~ ( c2_1 @ X20 ) )
    | hskp22
    | ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl145,plain,
    ( ~ hskp13
    | ( c1_1 @ a1771 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl634,plain,
    ( ( c1_1 @ a1771 )
   <= ( c1_1 @ a1771 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl36,plain,
    ! [X52: $i] :
      ( ( c0_1 @ X52 )
      | ~ ( c1_1 @ X52 )
      | ~ ( c3_1 @ X52 )
      | ~ ndr1_0
      | hskp28
      | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl337,plain,
    ( ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ~ ( c1_1 @ X52 )
        | ~ ( c3_1 @ X52 ) )
   <= ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ~ ( c1_1 @ X52 )
        | ~ ( c3_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl1571,plain,
    ( ( ( c0_1 @ a1771 )
      | ~ ( c3_1 @ a1771 ) )
   <= ( ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ~ ( c1_1 @ X52 )
          | ~ ( c3_1 @ X52 ) )
      & ( c1_1 @ a1771 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl634,zip_derived_cl337]) ).

thf('31',plain,
    ( ~ ( c3_1 @ a1771 )
    | ~ ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ~ ( c1_1 @ X52 )
          | ~ ( c3_1 @ X52 ) )
    | ( c0_1 @ a1771 )
    | ~ ( c1_1 @ a1771 ) ),
    inference(split,[status(esa)],[zip_derived_cl1571]) ).

thf(zip_derived_cl64,plain,
    ! [X104: $i,X105: $i] :
      ( ( c0_1 @ X104 )
      | ( c1_1 @ X104 )
      | ~ ( c3_1 @ X104 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X105 )
      | ~ ( c2_1 @ X105 )
      | ~ ( c3_1 @ X105 )
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('32',plain,
    ( ! [X104: $i] :
        ( ( c0_1 @ X104 )
        | ( c1_1 @ X104 )
        | ~ ( c3_1 @ X104 ) )
    | hskp8
    | ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl64]) ).

thf(zip_derived_cl18,plain,
    ! [X17: $i,X18: $i,X19: $i] :
      ( ( c1_1 @ X17 )
      | ~ ( c0_1 @ X17 )
      | ~ ( c2_1 @ X17 )
      | ~ ndr1_0
      | ( c3_1 @ X18 )
      | ~ ( c0_1 @ X18 )
      | ~ ( c1_1 @ X18 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X19 )
      | ~ ( c1_1 @ X19 )
      | ~ ( c2_1 @ X19 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl268,plain,
    ( ! [X17: $i] :
        ( ( c1_1 @ X17 )
        | ~ ( c0_1 @ X17 )
        | ~ ( c2_1 @ X17 ) )
   <= ! [X17: $i] :
        ( ( c1_1 @ X17 )
        | ~ ( c0_1 @ X17 )
        | ~ ( c2_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl606_005,plain,
    ( ~ ( c1_1 @ a1781 )
   <= ~ ( c1_1 @ a1781 ) ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf(zip_derived_cl935,plain,
    ( ( ~ ( c2_1 @ a1781 )
      | ~ ( c0_1 @ a1781 ) )
   <= ( ~ ( c1_1 @ a1781 )
      & ! [X17: $i] :
          ( ( c1_1 @ X17 )
          | ~ ( c0_1 @ X17 )
          | ~ ( c2_1 @ X17 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl268,zip_derived_cl606]) ).

thf('33',plain,
    ( ~ ! [X17: $i] :
          ( ( c1_1 @ X17 )
          | ~ ( c0_1 @ X17 )
          | ~ ( c2_1 @ X17 ) )
    | ~ ( c0_1 @ a1781 )
    | ( c1_1 @ a1781 )
    | ~ ( c2_1 @ a1781 ) ),
    inference(split,[status(esa)],[zip_derived_cl935]) ).

thf(zip_derived_cl37,plain,
    ! [X53: $i,X54: $i] :
      ( ( c0_1 @ X53 )
      | ~ ( c1_1 @ X53 )
      | ~ ( c3_1 @ X53 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X54 )
      | ~ ( c2_1 @ X54 )
      | ~ ( c3_1 @ X54 )
      | ~ ndr1_0
      | hskp17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('34',plain,
    ( hskp17
    | ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ~ ( c1_1 @ X52 )
        | ~ ( c3_1 @ X52 ) )
    | ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl133,plain,
    ( ~ hskp16
    | ( c1_1 @ a1780 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl610,plain,
    ( ( c1_1 @ a1780 )
   <= ( c1_1 @ a1780 ) ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf(zip_derived_cl222,plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl1356,plain,
    ( ( ~ ( c0_1 @ a1780 )
      | ~ ( c3_1 @ a1780 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ( c1_1 @ a1780 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl610,zip_derived_cl222]) ).

thf('35',plain,
    ( ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c0_1 @ a1780 )
    | ~ ( c3_1 @ a1780 )
    | ~ ( c1_1 @ a1780 ) ),
    inference(split,[status(esa)],[zip_derived_cl1356]) ).

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

thf('36',plain,
    ( hskp16
    | hskp22
    | ~ ndr1_0
    | ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl30,plain,
    ! [X41: $i] :
      ( ( c0_1 @ X41 )
      | ~ ( c2_1 @ X41 )
      | ~ ( c3_1 @ X41 )
      | ~ ndr1_0
      | hskp8
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('37',plain,
    ( hskp4
    | hskp8
    | ! [X41: $i] :
        ( ( c0_1 @ X41 )
        | ~ ( c2_1 @ X41 )
        | ~ ( c3_1 @ X41 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl181,plain,
    ( ~ hskp4
    | ( c1_1 @ a1759 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl706,plain,
    ( ( c1_1 @ a1759 )
   <= ( c1_1 @ a1759 ) ),
    inference(split,[status(esa)],[zip_derived_cl181]) ).

thf(zip_derived_cl244,plain,
    ( ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c1_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c1_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl1476,plain,
    ( ( ( c3_1 @ a1759 )
      | ~ ( c0_1 @ a1759 ) )
   <= ( ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c1_1 @ X6 ) )
      & ( c1_1 @ a1759 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl706,zip_derived_cl244]) ).

thf('38',plain,
    ( ~ ( c0_1 @ a1759 )
    | ~ ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c1_1 @ X6 ) )
    | ~ ( c1_1 @ a1759 )
    | ( c3_1 @ a1759 ) ),
    inference(split,[status(esa)],[zip_derived_cl1476]) ).

thf(zip_derived_cl182,plain,
    ( ~ hskp4
    | ~ ( c2_1 @ a1759 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl708,plain,
    ( ~ ( c2_1 @ a1759 )
   <= ~ ( c2_1 @ a1759 ) ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf(zip_derived_cl254_006,plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c0_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c0_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl833,plain,
    ( ( ( c3_1 @ a1759 )
      | ~ ( c0_1 @ a1759 ) )
   <= ( ~ ( c2_1 @ a1759 )
      & ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c3_1 @ X12 )
          | ~ ( c0_1 @ X12 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl708,zip_derived_cl254]) ).

thf('39',plain,
    ( ~ ( c0_1 @ a1759 )
    | ~ ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c3_1 @ X12 )
          | ~ ( c0_1 @ X12 ) )
    | ( c2_1 @ a1759 )
    | ( c3_1 @ a1759 ) ),
    inference(split,[status(esa)],[zip_derived_cl833]) ).

thf(zip_derived_cl27,plain,
    ! [X36: $i,X37: $i] :
      ( ( c1_1 @ X36 )
      | ( c2_1 @ X36 )
      | ~ ( c3_1 @ X36 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X37 )
      | ~ ( c1_1 @ X37 )
      | ~ ( c3_1 @ X37 )
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('40',plain,
    ( ! [X36: $i] :
        ( ( c1_1 @ X36 )
        | ( c2_1 @ X36 )
        | ~ ( c3_1 @ X36 ) )
    | ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
    | hskp0
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl271_007,plain,
    ( ! [X20: $i] :
        ( ( c1_1 @ X20 )
        | ( c3_1 @ X20 )
        | ~ ( c2_1 @ X20 ) )
   <= ! [X20: $i] :
        ( ( c1_1 @ X20 )
        | ( c3_1 @ X20 )
        | ~ ( c2_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl199,plain,
    ( ~ hskp0
    | ~ ( c1_1 @ a1754 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl742,plain,
    ( ~ ( c1_1 @ a1754 )
   <= ~ ( c1_1 @ a1754 ) ),
    inference(split,[status(esa)],[zip_derived_cl199]) ).

thf(zip_derived_cl995,plain,
    ( ( ~ ( c2_1 @ a1754 )
      | ( c3_1 @ a1754 ) )
   <= ( ~ ( c1_1 @ a1754 )
      & ! [X20: $i] :
          ( ( c1_1 @ X20 )
          | ( c3_1 @ X20 )
          | ~ ( c2_1 @ X20 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl271,zip_derived_cl742]) ).

thf('41',plain,
    ( ( c3_1 @ a1754 )
    | ( c1_1 @ a1754 )
    | ~ ! [X20: $i] :
          ( ( c1_1 @ X20 )
          | ( c3_1 @ X20 )
          | ~ ( c2_1 @ X20 ) )
    | ~ ( c2_1 @ a1754 ) ),
    inference(split,[status(esa)],[zip_derived_cl995]) ).

thf(zip_derived_cl197,plain,
    ( ~ hskp0
    | ( c2_1 @ a1754 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('42',plain,
    ( ( c2_1 @ a1754 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl197]) ).

thf(zip_derived_cl198,plain,
    ( ~ hskp0
    | ~ ( c0_1 @ a1754 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('43',plain,
    ( ~ hskp0
    | ~ ( c0_1 @ a1754 ) ),
    inference(split,[status(esa)],[zip_derived_cl198]) ).

thf('44',plain,
    ( ~ hskp0
    | ~ ( c1_1 @ a1754 ) ),
    inference(split,[status(esa)],[zip_derived_cl199]) ).

thf(zip_derived_cl449,plain,
    ( ! [X104: $i] :
        ( ( c0_1 @ X104 )
        | ( c1_1 @ X104 )
        | ~ ( c3_1 @ X104 ) )
   <= ! [X104: $i] :
        ( ( c0_1 @ X104 )
        | ( c1_1 @ X104 )
        | ~ ( c3_1 @ X104 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl64]) ).

thf(zip_derived_cl742_008,plain,
    ( ~ ( c1_1 @ a1754 )
   <= ~ ( c1_1 @ a1754 ) ),
    inference(split,[status(esa)],[zip_derived_cl199]) ).

thf(zip_derived_cl1876,plain,
    ( ( ~ ( c3_1 @ a1754 )
      | ( c0_1 @ a1754 ) )
   <= ( ~ ( c1_1 @ a1754 )
      & ! [X104: $i] :
          ( ( c0_1 @ X104 )
          | ( c1_1 @ X104 )
          | ~ ( c3_1 @ X104 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl449,zip_derived_cl742]) ).

thf('45',plain,
    ( ( c0_1 @ a1754 )
    | ~ ( c3_1 @ a1754 )
    | ~ ! [X104: $i] :
          ( ( c0_1 @ X104 )
          | ( c1_1 @ X104 )
          | ~ ( c3_1 @ X104 ) )
    | ( c1_1 @ a1754 ) ),
    inference(split,[status(esa)],[zip_derived_cl1876]) ).

thf(zip_derived_cl21,plain,
    ! [X24: $i,X25: $i] :
      ( ( c1_1 @ X24 )
      | ( c3_1 @ X24 )
      | ~ ( c2_1 @ X24 )
      | ~ ndr1_0
      | ( c3_1 @ X25 )
      | ~ ( c0_1 @ X25 )
      | ~ ( c1_1 @ X25 )
      | ~ ndr1_0
      | hskp15 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('46',plain,
    ( ! [X20: $i] :
        ( ( c1_1 @ X20 )
        | ( c3_1 @ X20 )
        | ~ ( c2_1 @ X20 ) )
    | ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c1_1 @ X6 ) )
    | hskp15
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl137,plain,
    ( ~ hskp15
    | ( c0_1 @ a1779 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('47',plain,
    ( ( c0_1 @ a1779 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(zip_derived_cl138,plain,
    ( ~ hskp15
    | ~ ( c2_1 @ a1779 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('48',plain,
    ( ~ ( c2_1 @ a1779 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf(zip_derived_cl139,plain,
    ( ~ hskp15
    | ~ ( c3_1 @ a1779 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('49',plain,
    ( ~ ( c3_1 @ a1779 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf(zip_derived_cl254_009,plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c0_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c0_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl620,plain,
    ( ~ ( c2_1 @ a1779 )
   <= ~ ( c2_1 @ a1779 ) ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf(zip_derived_cl794,plain,
    ( ( ~ ( c0_1 @ a1779 )
      | ( c3_1 @ a1779 ) )
   <= ( ~ ( c2_1 @ a1779 )
      & ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c3_1 @ X12 )
          | ~ ( c0_1 @ X12 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl254,zip_derived_cl620]) ).

thf('50',plain,
    ( ( c2_1 @ a1779 )
    | ( c3_1 @ a1779 )
    | ~ ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c3_1 @ X12 )
          | ~ ( c0_1 @ X12 ) )
    | ~ ( c0_1 @ a1779 ) ),
    inference(split,[status(esa)],[zip_derived_cl794]) ).

thf(zip_derived_cl83,plain,
    ( ~ hskp29
    | ( c3_1 @ a1805 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl510,plain,
    ( ( c3_1 @ a1805 )
   <= ( c3_1 @ a1805 ) ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl262_010,plain,
    ( ! [X15: $i] :
        ( ( c1_1 @ X15 )
        | ~ ( c0_1 @ X15 )
        | ~ ( c3_1 @ X15 ) )
   <= ! [X15: $i] :
        ( ( c1_1 @ X15 )
        | ~ ( c0_1 @ X15 )
        | ~ ( c3_1 @ X15 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl222_011,plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl845,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X15: $i] :
          ( ( c1_1 @ X15 )
          | ~ ( c0_1 @ X15 )
          | ~ ( c3_1 @ X15 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl262,zip_derived_cl222]) ).

thf(zip_derived_cl872,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X15: $i] :
          ( ( c1_1 @ X15 )
          | ~ ( c0_1 @ X15 )
          | ~ ( c3_1 @ X15 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl845]) ).

thf(zip_derived_cl1243,plain,
    ( ~ ( c0_1 @ a1805 )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X15: $i] :
          ( ( c1_1 @ X15 )
          | ~ ( c0_1 @ X15 )
          | ~ ( c3_1 @ X15 ) )
      & ( c3_1 @ a1805 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl510,zip_derived_cl872]) ).

thf(zip_derived_cl81,plain,
    ( ~ hskp29
    | ( c0_1 @ a1805 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl506,plain,
    ( ( c0_1 @ a1805 )
   <= ( c0_1 @ a1805 ) ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf('51',plain,
    ( ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ! [X15: $i] :
          ( ( c1_1 @ X15 )
          | ~ ( c0_1 @ X15 )
          | ~ ( c3_1 @ X15 ) )
    | ~ ( c3_1 @ a1805 )
    | ~ ( c0_1 @ a1805 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1243,zip_derived_cl506]) ).

thf('52',plain,
    ( ! [X36: $i] :
        ( ( c1_1 @ X36 )
        | ( c2_1 @ X36 )
        | ~ ( c3_1 @ X36 ) )
    | ! [X48: $i] :
        ( ( c1_1 @ X48 )
        | ~ ( c2_1 @ X48 )
        | ~ ( c3_1 @ X48 ) )
    | ~ ndr1_0
    | ! [X41: $i] :
        ( ( c0_1 @ X41 )
        | ~ ( c2_1 @ X41 )
        | ~ ( c3_1 @ X41 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl157,plain,
    ( ~ hskp10
    | ( c3_1 @ a1767 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('53',plain,
    ( ( c3_1 @ a1767 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl158,plain,
    ( ~ hskp10
    | ~ ( c0_1 @ a1767 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('54',plain,
    ( ~ ( c0_1 @ a1767 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf('55',plain,
    ( ~ ( c1_1 @ a1767 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl53,plain,
    ! [X82: $i,X83: $i] :
      ( ( c0_1 @ X82 )
      | ( c2_1 @ X82 )
      | ~ ( c3_1 @ X82 )
      | ~ ndr1_0
      | ( c2_1 @ X83 )
      | ~ ( c0_1 @ X83 )
      | ~ ( c3_1 @ X83 )
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('56',plain,
    ( hskp10
    | ! [X68: $i] :
        ( ( c2_1 @ X68 )
        | ~ ( c0_1 @ X68 )
        | ~ ( c3_1 @ X68 ) )
    | ! [X77: $i] :
        ( ( c0_1 @ X77 )
        | ( c2_1 @ X77 )
        | ~ ( c3_1 @ X77 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(zip_derived_cl372_012,plain,
    ( ! [X68: $i] :
        ( ( c2_1 @ X68 )
        | ~ ( c0_1 @ X68 )
        | ~ ( c3_1 @ X68 ) )
   <= ! [X68: $i] :
        ( ( c2_1 @ X68 )
        | ~ ( c0_1 @ X68 )
        | ~ ( c3_1 @ X68 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl191,plain,
    ( ~ hskp2
    | ~ ( c2_1 @ a1757 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl726,plain,
    ( ~ ( c2_1 @ a1757 )
   <= ~ ( c2_1 @ a1757 ) ),
    inference(split,[status(esa)],[zip_derived_cl191]) ).

thf(zip_derived_cl1644,plain,
    ( ( ~ ( c3_1 @ a1757 )
      | ~ ( c0_1 @ a1757 ) )
   <= ( ~ ( c2_1 @ a1757 )
      & ! [X68: $i] :
          ( ( c2_1 @ X68 )
          | ~ ( c0_1 @ X68 )
          | ~ ( c3_1 @ X68 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl372,zip_derived_cl726]) ).

thf('57',plain,
    ( ~ ! [X68: $i] :
          ( ( c2_1 @ X68 )
          | ~ ( c0_1 @ X68 )
          | ~ ( c3_1 @ X68 ) )
    | ~ ( c3_1 @ a1757 )
    | ( c2_1 @ a1757 )
    | ~ ( c0_1 @ a1757 ) ),
    inference(split,[status(esa)],[zip_derived_cl1644]) ).

thf(zip_derived_cl726_013,plain,
    ( ~ ( c2_1 @ a1757 )
   <= ~ ( c2_1 @ a1757 ) ),
    inference(split,[status(esa)],[zip_derived_cl191]) ).

thf(zip_derived_cl254_014,plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c0_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c0_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl877,plain,
    ( ( ( c3_1 @ a1757 )
      | ~ ( c0_1 @ a1757 ) )
   <= ( ~ ( c2_1 @ a1757 )
      & ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c3_1 @ X12 )
          | ~ ( c0_1 @ X12 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl726,zip_derived_cl254]) ).

thf('58',plain,
    ( ( c3_1 @ a1757 )
    | ~ ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c3_1 @ X12 )
          | ~ ( c0_1 @ X12 ) )
    | ( c2_1 @ a1757 )
    | ~ ( c0_1 @ a1757 ) ),
    inference(split,[status(esa)],[zip_derived_cl877]) ).

thf(zip_derived_cl16,plain,
    ! [X13: $i,X14: $i] :
      ( ( c2_1 @ X13 )
      | ( c3_1 @ X13 )
      | ~ ( c0_1 @ X13 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X14 )
      | ~ ( c2_1 @ X14 )
      | ~ ( c3_1 @ X14 )
      | ~ ndr1_0
      | hskp18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('59',plain,
    ( ! [X14: $i] :
        ( ~ ( c0_1 @ X14 )
        | ~ ( c2_1 @ X14 )
        | ~ ( c3_1 @ X14 ) )
    | ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c0_1 @ X12 ) )
    | ~ ndr1_0
    | hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl185,plain,
    ( ~ hskp3
    | ( c1_1 @ a1758 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl714,plain,
    ( ( c1_1 @ a1758 )
   <= ( c1_1 @ a1758 ) ),
    inference(split,[status(esa)],[zip_derived_cl185]) ).

thf(zip_derived_cl244_015,plain,
    ( ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c1_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c1_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl1483,plain,
    ( ( ( c3_1 @ a1758 )
      | ~ ( c0_1 @ a1758 ) )
   <= ( ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c1_1 @ X6 ) )
      & ( c1_1 @ a1758 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl714,zip_derived_cl244]) ).

thf('60',plain,
    ( ~ ( c0_1 @ a1758 )
    | ~ ( c1_1 @ a1758 )
    | ~ ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c1_1 @ X6 ) )
    | ( c3_1 @ a1758 ) ),
    inference(split,[status(esa)],[zip_derived_cl1483]) ).

thf(zip_derived_cl714_016,plain,
    ( ( c1_1 @ a1758 )
   <= ( c1_1 @ a1758 ) ),
    inference(split,[status(esa)],[zip_derived_cl185]) ).

thf(zip_derived_cl8,plain,
    ! [X2: $i] :
      ( ~ ( c0_1 @ X2 )
      | ~ ( c1_1 @ X2 )
      | ~ ( c2_1 @ X2 )
      | ~ ndr1_0
      | hskp29
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl226,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl1481,plain,
    ( ( ~ ( c0_1 @ a1758 )
      | ~ ( c2_1 @ a1758 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ( c1_1 @ a1758 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl714,zip_derived_cl226]) ).

thf('61',plain,
    ( ~ ( c0_1 @ a1758 )
    | ~ ( c2_1 @ a1758 )
    | ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
    | ~ ( c1_1 @ a1758 ) ),
    inference(split,[status(esa)],[zip_derived_cl1481]) ).

thf(zip_derived_cl714_017,plain,
    ( ( c1_1 @ a1758 )
   <= ( c1_1 @ a1758 ) ),
    inference(split,[status(esa)],[zip_derived_cl185]) ).

thf(zip_derived_cl40,plain,
    ! [X60: $i] :
      ( ( c0_1 @ X60 )
      | ~ ( c1_1 @ X60 )
      | ~ ( c2_1 @ X60 )
      | ~ ndr1_0
      | hskp3
      | hskp6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl353,plain,
    ( ! [X60: $i] :
        ( ( c0_1 @ X60 )
        | ~ ( c1_1 @ X60 )
        | ~ ( c2_1 @ X60 ) )
   <= ! [X60: $i] :
        ( ( c0_1 @ X60 )
        | ~ ( c1_1 @ X60 )
        | ~ ( c2_1 @ X60 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl1604,plain,
    ( ( ( c0_1 @ a1758 )
      | ~ ( c2_1 @ a1758 ) )
   <= ( ! [X60: $i] :
          ( ( c0_1 @ X60 )
          | ~ ( c1_1 @ X60 )
          | ~ ( c2_1 @ X60 ) )
      & ( c1_1 @ a1758 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl714,zip_derived_cl353]) ).

thf('62',plain,
    ( ~ ! [X60: $i] :
          ( ( c0_1 @ X60 )
          | ~ ( c1_1 @ X60 )
          | ~ ( c2_1 @ X60 ) )
    | ( c0_1 @ a1758 )
    | ~ ( c1_1 @ a1758 )
    | ~ ( c2_1 @ a1758 ) ),
    inference(split,[status(esa)],[zip_derived_cl1604]) ).

thf(zip_derived_cl449_018,plain,
    ( ! [X104: $i] :
        ( ( c0_1 @ X104 )
        | ( c1_1 @ X104 )
        | ~ ( c3_1 @ X104 ) )
   <= ! [X104: $i] :
        ( ( c0_1 @ X104 )
        | ( c1_1 @ X104 )
        | ~ ( c3_1 @ X104 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl64]) ).

thf(zip_derived_cl662_019,plain,
    ( ~ ( c1_1 @ a1767 )
   <= ~ ( c1_1 @ a1767 ) ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl1880,plain,
    ( ( ~ ( c3_1 @ a1767 )
      | ( c0_1 @ a1767 ) )
   <= ( ~ ( c1_1 @ a1767 )
      & ! [X104: $i] :
          ( ( c0_1 @ X104 )
          | ( c1_1 @ X104 )
          | ~ ( c3_1 @ X104 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl449,zip_derived_cl662]) ).

thf('63',plain,
    ( ~ ! [X104: $i] :
          ( ( c0_1 @ X104 )
          | ( c1_1 @ X104 )
          | ~ ( c3_1 @ X104 ) )
    | ( c0_1 @ a1767 )
    | ( c1_1 @ a1767 )
    | ~ ( c3_1 @ a1767 ) ),
    inference(split,[status(esa)],[zip_derived_cl1880]) ).

thf(zip_derived_cl190,plain,
    ( ~ hskp2
    | ( c1_1 @ a1757 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl724,plain,
    ( ( c1_1 @ a1757 )
   <= ( c1_1 @ a1757 ) ),
    inference(split,[status(esa)],[zip_derived_cl190]) ).

thf(zip_derived_cl222_020,plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl1528,plain,
    ( ( ~ ( c0_1 @ a1757 )
      | ~ ( c3_1 @ a1757 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ( c1_1 @ a1757 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl724,zip_derived_cl222]) ).

thf('64',plain,
    ( ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c3_1 @ a1757 )
    | ~ ( c0_1 @ a1757 )
    | ~ ( c1_1 @ a1757 ) ),
    inference(split,[status(esa)],[zip_derived_cl1528]) ).

thf(zip_derived_cl51,plain,
    ! [X78: $i,X79: $i] :
      ( ( c0_1 @ X78 )
      | ( c2_1 @ X78 )
      | ~ ( c3_1 @ X78 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X79 )
      | ~ ( c1_1 @ X79 )
      | ~ ( c3_1 @ X79 )
      | ~ ndr1_0
      | hskp3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('65',plain,
    ( hskp3
    | ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
    | ~ ndr1_0
    | ! [X77: $i] :
        ( ( c0_1 @ X77 )
        | ( c2_1 @ X77 )
        | ~ ( c3_1 @ X77 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf(zip_derived_cl724_021,plain,
    ( ( c1_1 @ a1757 )
   <= ( c1_1 @ a1757 ) ),
    inference(split,[status(esa)],[zip_derived_cl190]) ).

thf(zip_derived_cl244_022,plain,
    ( ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c1_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c1_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl1531,plain,
    ( ( ( c3_1 @ a1757 )
      | ~ ( c0_1 @ a1757 ) )
   <= ( ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c1_1 @ X6 ) )
      & ( c1_1 @ a1757 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl724,zip_derived_cl244]) ).

thf('66',plain,
    ( ( c3_1 @ a1757 )
    | ~ ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c1_1 @ X6 ) )
    | ~ ( c1_1 @ a1757 )
    | ~ ( c0_1 @ a1757 ) ),
    inference(split,[status(esa)],[zip_derived_cl1531]) ).

thf(zip_derived_cl38,plain,
    ! [X55: $i,X56: $i] :
      ( ( c0_1 @ X55 )
      | ~ ( c1_1 @ X55 )
      | ~ ( c3_1 @ X55 )
      | ~ ndr1_0
      | ( c3_1 @ X56 )
      | ~ ( c0_1 @ X56 )
      | ~ ( c1_1 @ X56 )
      | ~ ndr1_0
      | hskp3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('67',plain,
    ( hskp3
    | ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c1_1 @ X6 ) )
    | ~ ndr1_0
    | ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ~ ( c1_1 @ X52 )
        | ~ ( c3_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl39,plain,
    ! [X57: $i,X58: $i,X59: $i] :
      ( ( c0_1 @ X57 )
      | ~ ( c1_1 @ X57 )
      | ~ ( c3_1 @ X57 )
      | ~ ndr1_0
      | ( c1_1 @ X58 )
      | ~ ( c0_1 @ X58 )
      | ~ ( c2_1 @ X58 )
      | ~ ndr1_0
      | ( c2_1 @ X59 )
      | ~ ( c0_1 @ X59 )
      | ~ ( c1_1 @ X59 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('68',plain,
    ( ! [X17: $i] :
        ( ( c1_1 @ X17 )
        | ~ ( c0_1 @ X17 )
        | ~ ( c2_1 @ X17 ) )
    | ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ~ ( c1_1 @ X52 )
        | ~ ( c3_1 @ X52 ) )
    | ~ ndr1_0
    | ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c1_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl121,plain,
    ( ~ hskp19
    | ( c1_1 @ a1783 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl586,plain,
    ( ( c1_1 @ a1783 )
   <= ( c1_1 @ a1783 ) ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl337_023,plain,
    ( ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ~ ( c1_1 @ X52 )
        | ~ ( c3_1 @ X52 ) )
   <= ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ~ ( c1_1 @ X52 )
        | ~ ( c3_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl1573,plain,
    ( ( ( c0_1 @ a1783 )
      | ~ ( c3_1 @ a1783 ) )
   <= ( ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ~ ( c1_1 @ X52 )
          | ~ ( c3_1 @ X52 ) )
      & ( c1_1 @ a1783 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl586,zip_derived_cl337]) ).

thf('69',plain,
    ( ~ ( c1_1 @ a1783 )
    | ( c0_1 @ a1783 )
    | ~ ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ~ ( c1_1 @ X52 )
          | ~ ( c3_1 @ X52 ) )
    | ~ ( c3_1 @ a1783 ) ),
    inference(split,[status(esa)],[zip_derived_cl1573]) ).

thf('70',plain,
    ( ( c1_1 @ a1758 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl185]) ).

thf(zip_derived_cl186,plain,
    ( ~ hskp3
    | ( c2_1 @ a1758 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('71',plain,
    ( ( c2_1 @ a1758 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl186]) ).

thf(zip_derived_cl187,plain,
    ( ~ hskp3
    | ~ ( c3_1 @ a1758 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('72',plain,
    ( ~ ( c3_1 @ a1758 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl187]) ).

thf(zip_derived_cl714_024,plain,
    ( ( c1_1 @ a1758 )
   <= ( c1_1 @ a1758 ) ),
    inference(split,[status(esa)],[zip_derived_cl185]) ).

thf(zip_derived_cl9,plain,
    ! [X3: $i] :
      ( ( c3_1 @ X3 )
      | ~ ( c1_1 @ X3 )
      | ~ ( c2_1 @ X3 )
      | ~ ndr1_0
      | hskp3
      | hskp25 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl230,plain,
    ( ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl1482,plain,
    ( ( ( c3_1 @ a1758 )
      | ~ ( c2_1 @ a1758 ) )
   <= ( ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ( c1_1 @ a1758 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl714,zip_derived_cl230]) ).

thf('73',plain,
    ( ~ ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
    | ~ ( c1_1 @ a1758 )
    | ( c3_1 @ a1758 )
    | ~ ( c2_1 @ a1758 ) ),
    inference(split,[status(esa)],[zip_derived_cl1482]) ).

thf(zip_derived_cl580_025,plain,
    ( ( c1_1 @ a1786 )
   <= ( c1_1 @ a1786 ) ),
    inference(split,[status(esa)],[zip_derived_cl118]) ).

thf(zip_derived_cl226_026,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl1332,plain,
    ( ( ~ ( c0_1 @ a1786 )
      | ~ ( c2_1 @ a1786 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ( c1_1 @ a1786 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl580,zip_derived_cl226]) ).

thf('74',plain,
    ( ~ ( c2_1 @ a1786 )
    | ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
    | ~ ( c1_1 @ a1786 )
    | ~ ( c0_1 @ a1786 ) ),
    inference(split,[status(esa)],[zip_derived_cl1332]) ).

thf(zip_derived_cl141,plain,
    ( ~ hskp14
    | ( c2_1 @ a1777 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('75',plain,
    ( ( c2_1 @ a1777 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf(zip_derived_cl142,plain,
    ( ~ hskp14
    | ~ ( c0_1 @ a1777 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('76',plain,
    ( ~ ( c0_1 @ a1777 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf(zip_derived_cl143,plain,
    ( ~ hskp14
    | ~ ( c3_1 @ a1777 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('77',plain,
    ( ~ ( c3_1 @ a1777 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(zip_derived_cl626,plain,
    ( ( c2_1 @ a1777 )
   <= ( c2_1 @ a1777 ) ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf(zip_derived_cl44,plain,
    ! [X66: $i] :
      ( ( c0_1 @ X66 )
      | ( c3_1 @ X66 )
      | ~ ( c2_1 @ X66 )
      | ~ ndr1_0
      | hskp20
      | hskp6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl368,plain,
    ( ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ( c3_1 @ X66 )
        | ~ ( c2_1 @ X66 ) )
   <= ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ( c3_1 @ X66 )
        | ~ ( c2_1 @ X66 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl44]) ).

thf(zip_derived_cl1629,plain,
    ( ( ( c0_1 @ a1777 )
      | ( c3_1 @ a1777 ) )
   <= ( ! [X66: $i] :
          ( ( c0_1 @ X66 )
          | ( c3_1 @ X66 )
          | ~ ( c2_1 @ X66 ) )
      & ( c2_1 @ a1777 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl626,zip_derived_cl368]) ).

thf('78',plain,
    ( ~ ! [X66: $i] :
          ( ( c0_1 @ X66 )
          | ( c3_1 @ X66 )
          | ~ ( c2_1 @ X66 ) )
    | ( c0_1 @ a1777 )
    | ( c3_1 @ a1777 )
    | ~ ( c2_1 @ a1777 ) ),
    inference(split,[status(esa)],[zip_derived_cl1629]) ).

thf(zip_derived_cl166,plain,
    ( ~ hskp8
    | ( c2_1 @ a1765 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl676,plain,
    ( ( c2_1 @ a1765 )
   <= ( c2_1 @ a1765 ) ),
    inference(split,[status(esa)],[zip_derived_cl166]) ).

thf(zip_derived_cl294_027,plain,
    ( ! [X33: $i] :
        ( ( c3_1 @ X33 )
        | ~ ( c0_1 @ X33 )
        | ~ ( c2_1 @ X33 ) )
   <= ! [X33: $i] :
        ( ( c3_1 @ X33 )
        | ~ ( c0_1 @ X33 )
        | ~ ( c2_1 @ X33 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl1418,plain,
    ( ( ( c3_1 @ a1765 )
      | ~ ( c0_1 @ a1765 ) )
   <= ( ! [X33: $i] :
          ( ( c3_1 @ X33 )
          | ~ ( c0_1 @ X33 )
          | ~ ( c2_1 @ X33 ) )
      & ( c2_1 @ a1765 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl676,zip_derived_cl294]) ).

thf('79',plain,
    ( ( c3_1 @ a1765 )
    | ~ ( c0_1 @ a1765 )
    | ~ ! [X33: $i] :
          ( ( c3_1 @ X33 )
          | ~ ( c0_1 @ X33 )
          | ~ ( c2_1 @ X33 ) )
    | ~ ( c2_1 @ a1765 ) ),
    inference(split,[status(esa)],[zip_derived_cl1418]) ).

thf(zip_derived_cl4,plain,
    ( hskp2
    | hskp8
    | hskp14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('80',plain,
    ( hskp14
    | hskp8
    | hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf(zip_derived_cl52,plain,
    ! [X80: $i,X81: $i] :
      ( ( c0_1 @ X80 )
      | ( c2_1 @ X80 )
      | ~ ( c3_1 @ X80 )
      | ~ ndr1_0
      | ( c3_1 @ X81 )
      | ~ ( c0_1 @ X81 )
      | ~ ( c2_1 @ X81 )
      | ~ ndr1_0
      | hskp14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('81',plain,
    ( ! [X33: $i] :
        ( ( c3_1 @ X33 )
        | ~ ( c0_1 @ X33 )
        | ~ ( c2_1 @ X33 ) )
    | hskp14
    | ! [X77: $i] :
        ( ( c0_1 @ X77 )
        | ( c2_1 @ X77 )
        | ~ ( c3_1 @ X77 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl676_028,plain,
    ( ( c2_1 @ a1765 )
   <= ( c2_1 @ a1765 ) ),
    inference(split,[status(esa)],[zip_derived_cl166]) ).

thf(zip_derived_cl258,plain,
    ( ! [X14: $i] :
        ( ~ ( c0_1 @ X14 )
        | ~ ( c2_1 @ X14 )
        | ~ ( c3_1 @ X14 ) )
   <= ! [X14: $i] :
        ( ~ ( c0_1 @ X14 )
        | ~ ( c2_1 @ X14 )
        | ~ ( c3_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl1417,plain,
    ( ( ~ ( c0_1 @ a1765 )
      | ~ ( c3_1 @ a1765 ) )
   <= ( ! [X14: $i] :
          ( ~ ( c0_1 @ X14 )
          | ~ ( c2_1 @ X14 )
          | ~ ( c3_1 @ X14 ) )
      & ( c2_1 @ a1765 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl676,zip_derived_cl258]) ).

thf('82',plain,
    ( ~ ( c3_1 @ a1765 )
    | ~ ( c0_1 @ a1765 )
    | ~ ! [X14: $i] :
          ( ~ ( c0_1 @ X14 )
          | ~ ( c2_1 @ X14 )
          | ~ ( c3_1 @ X14 ) )
    | ~ ( c2_1 @ a1765 ) ),
    inference(split,[status(esa)],[zip_derived_cl1417]) ).

thf('83',plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) )
    | hskp4
    | hskp29
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl65,plain,
    ! [X106: $i,X107: $i] :
      ( ( c0_1 @ X106 )
      | ( c1_1 @ X106 )
      | ~ ( c3_1 @ X106 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X107 )
      | ~ ( c2_1 @ X107 )
      | ~ ( c3_1 @ X107 )
      | ~ ndr1_0
      | hskp6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('84',plain,
    ( ! [X104: $i] :
        ( ( c0_1 @ X104 )
        | ( c1_1 @ X104 )
        | ~ ( c3_1 @ X104 ) )
    | hskp6
    | ! [X14: $i] :
        ( ~ ( c0_1 @ X14 )
        | ~ ( c2_1 @ X14 )
        | ~ ( c3_1 @ X14 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl65]) ).

thf(zip_derived_cl303,plain,
    ( ! [X36: $i] :
        ( ( c1_1 @ X36 )
        | ( c2_1 @ X36 )
        | ~ ( c3_1 @ X36 ) )
   <= ! [X36: $i] :
        ( ( c1_1 @ X36 )
        | ( c2_1 @ X36 )
        | ~ ( c3_1 @ X36 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl98,plain,
    ( ~ hskp25
    | ~ ( c1_1 @ a1827 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl540,plain,
    ( ~ ( c1_1 @ a1827 )
   <= ~ ( c1_1 @ a1827 ) ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf(zip_derived_cl1210,plain,
    ( ( ~ ( c3_1 @ a1827 )
      | ( c2_1 @ a1827 ) )
   <= ( ~ ( c1_1 @ a1827 )
      & ! [X36: $i] :
          ( ( c1_1 @ X36 )
          | ( c2_1 @ X36 )
          | ~ ( c3_1 @ X36 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl303,zip_derived_cl540]) ).

thf('85',plain,
    ( ~ ( c3_1 @ a1827 )
    | ~ ! [X36: $i] :
          ( ( c1_1 @ X36 )
          | ( c2_1 @ X36 )
          | ~ ( c3_1 @ X36 ) )
    | ( c1_1 @ a1827 )
    | ( c2_1 @ a1827 ) ),
    inference(split,[status(esa)],[zip_derived_cl1210]) ).

thf(zip_derived_cl449_029,plain,
    ( ! [X104: $i] :
        ( ( c0_1 @ X104 )
        | ( c1_1 @ X104 )
        | ~ ( c3_1 @ X104 ) )
   <= ! [X104: $i] :
        ( ( c0_1 @ X104 )
        | ( c1_1 @ X104 )
        | ~ ( c3_1 @ X104 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl64]) ).

thf(zip_derived_cl540_030,plain,
    ( ~ ( c1_1 @ a1827 )
   <= ~ ( c1_1 @ a1827 ) ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf(zip_derived_cl1885,plain,
    ( ( ~ ( c3_1 @ a1827 )
      | ( c0_1 @ a1827 ) )
   <= ( ~ ( c1_1 @ a1827 )
      & ! [X104: $i] :
          ( ( c0_1 @ X104 )
          | ( c1_1 @ X104 )
          | ~ ( c3_1 @ X104 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl449,zip_derived_cl540]) ).

thf('86',plain,
    ( ( c0_1 @ a1827 )
    | ( c1_1 @ a1827 )
    | ~ ! [X104: $i] :
          ( ( c0_1 @ X104 )
          | ( c1_1 @ X104 )
          | ~ ( c3_1 @ X104 ) )
    | ~ ( c3_1 @ a1827 ) ),
    inference(split,[status(esa)],[zip_derived_cl1885]) ).

thf(zip_derived_cl310,plain,
    ( ! [X40: $i] :
        ( ( c1_1 @ X40 )
        | ( c2_1 @ X40 )
        | ( c3_1 @ X40 ) )
   <= ! [X40: $i] :
        ( ( c1_1 @ X40 )
        | ( c2_1 @ X40 )
        | ( c3_1 @ X40 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl540_031,plain,
    ( ~ ( c1_1 @ a1827 )
   <= ~ ( c1_1 @ a1827 ) ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf(zip_derived_cl1287,plain,
    ( ( ( c3_1 @ a1827 )
      | ( c2_1 @ a1827 ) )
   <= ( ~ ( c1_1 @ a1827 )
      & ! [X40: $i] :
          ( ( c1_1 @ X40 )
          | ( c2_1 @ X40 )
          | ( c3_1 @ X40 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl310,zip_derived_cl540]) ).

thf('87',plain,
    ( ( c3_1 @ a1827 )
    | ( c1_1 @ a1827 )
    | ~ ! [X40: $i] :
          ( ( c1_1 @ X40 )
          | ( c2_1 @ X40 )
          | ( c3_1 @ X40 ) )
    | ( c2_1 @ a1827 ) ),
    inference(split,[status(esa)],[zip_derived_cl1287]) ).

thf(zip_derived_cl97,plain,
    ( ~ hskp25
    | ~ ( c0_1 @ a1827 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('88',plain,
    ( ~ ( c0_1 @ a1827 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf('89',plain,
    ( ~ ( c1_1 @ a1827 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf(zip_derived_cl99,plain,
    ( ~ hskp25
    | ~ ( c2_1 @ a1827 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('90',plain,
    ( ~ ( c2_1 @ a1827 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl3,plain,
    ( hskp2
    | hskp4
    | hskp25 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('91',plain,
    ( hskp25
    | hskp4
    | hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl580_032,plain,
    ( ( c1_1 @ a1786 )
   <= ( c1_1 @ a1786 ) ),
    inference(split,[status(esa)],[zip_derived_cl118]) ).

thf(zip_derived_cl218,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl1330,plain,
    ( ( ~ ( c2_1 @ a1786 )
      | ~ ( c3_1 @ a1786 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c1_1 @ a1786 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl580,zip_derived_cl218]) ).

thf(zip_derived_cl2238,plain,
    ( ~ ( c2_1 @ a1786 )
   <= ~ ( c2_1 @ a1786 ) ),
    inference(split,[status(esa)],[zip_derived_cl1330]) ).

thf(zip_derived_cl254_033,plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c0_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c0_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl2240,plain,
    ( ( ( c3_1 @ a1786 )
      | ~ ( c0_1 @ a1786 ) )
   <= ( ~ ( c2_1 @ a1786 )
      & ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c3_1 @ X12 )
          | ~ ( c0_1 @ X12 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2238,zip_derived_cl254]) ).

thf('92',plain,
    ( ( c2_1 @ a1786 )
    | ( c3_1 @ a1786 )
    | ~ ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c3_1 @ X12 )
          | ~ ( c0_1 @ X12 ) )
    | ~ ( c0_1 @ a1786 ) ),
    inference(split,[status(esa)],[zip_derived_cl2240]) ).

thf(zip_derived_cl41,plain,
    ! [X61: $i] :
      ( ( c0_1 @ X61 )
      | ~ ( c1_1 @ X61 )
      | ~ ( c2_1 @ X61 )
      | ~ ndr1_0
      | hskp13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('93',plain,
    ( hskp13
    | ! [X60: $i] :
        ( ( c0_1 @ X60 )
        | ~ ( c1_1 @ X60 )
        | ~ ( c2_1 @ X60 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl58,plain,
    ! [X92: $i,X93: $i] :
      ( ( c0_1 @ X92 )
      | ( c2_1 @ X92 )
      | ~ ( c3_1 @ X92 )
      | ~ ndr1_0
      | ( c0_1 @ X93 )
      | ( c3_1 @ X93 )
      | ~ ( c1_1 @ X93 )
      | ~ ndr1_0
      | hskp13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('94',plain,
    ( hskp13
    | ! [X72: $i] :
        ( ( c0_1 @ X72 )
        | ( c3_1 @ X72 )
        | ~ ( c1_1 @ X72 ) )
    | ! [X77: $i] :
        ( ( c0_1 @ X77 )
        | ( c2_1 @ X77 )
        | ~ ( c3_1 @ X77 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf(zip_derived_cl56,plain,
    ! [X88: $i,X89: $i] :
      ( ( c0_1 @ X88 )
      | ( c2_1 @ X88 )
      | ~ ( c3_1 @ X88 )
      | ~ ndr1_0
      | ( c1_1 @ X89 )
      | ( c2_1 @ X89 )
      | ( c3_1 @ X89 )
      | ~ ndr1_0
      | hskp13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('95',plain,
    ( hskp13
    | ! [X40: $i] :
        ( ( c1_1 @ X40 )
        | ( c2_1 @ X40 )
        | ( c3_1 @ X40 ) )
    | ! [X77: $i] :
        ( ( c0_1 @ X77 )
        | ( c2_1 @ X77 )
        | ~ ( c3_1 @ X77 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl56]) ).

thf(zip_derived_cl129,plain,
    ( ~ hskp17
    | ( c2_1 @ a1781 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl602,plain,
    ( ( c2_1 @ a1781 )
   <= ( c2_1 @ a1781 ) ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf(zip_derived_cl313,plain,
    ( ! [X41: $i] :
        ( ( c0_1 @ X41 )
        | ~ ( c2_1 @ X41 )
        | ~ ( c3_1 @ X41 ) )
   <= ! [X41: $i] :
        ( ( c0_1 @ X41 )
        | ~ ( c2_1 @ X41 )
        | ~ ( c3_1 @ X41 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl1349,plain,
    ( ( ( c0_1 @ a1781 )
      | ~ ( c3_1 @ a1781 ) )
   <= ( ! [X41: $i] :
          ( ( c0_1 @ X41 )
          | ~ ( c2_1 @ X41 )
          | ~ ( c3_1 @ X41 ) )
      & ( c2_1 @ a1781 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl602,zip_derived_cl313]) ).

thf('96',plain,
    ( ( c0_1 @ a1781 )
    | ~ ! [X41: $i] :
          ( ( c0_1 @ X41 )
          | ~ ( c2_1 @ X41 )
          | ~ ( c3_1 @ X41 ) )
    | ~ ( c2_1 @ a1781 )
    | ~ ( c3_1 @ a1781 ) ),
    inference(split,[status(esa)],[zip_derived_cl1349]) ).

thf('97',plain,
    ( ( c2_1 @ a1781 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf(zip_derived_cl331_034,plain,
    ( ! [X48: $i] :
        ( ( c1_1 @ X48 )
        | ~ ( c2_1 @ X48 )
        | ~ ( c3_1 @ X48 ) )
   <= ! [X48: $i] :
        ( ( c1_1 @ X48 )
        | ~ ( c2_1 @ X48 )
        | ~ ( c3_1 @ X48 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl218_035,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl1436,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X48: $i] :
          ( ( c1_1 @ X48 )
          | ~ ( c2_1 @ X48 )
          | ~ ( c3_1 @ X48 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl331,zip_derived_cl218]) ).

thf(zip_derived_cl1465,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X48: $i] :
          ( ( c1_1 @ X48 )
          | ~ ( c2_1 @ X48 )
          | ~ ( c3_1 @ X48 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1436]) ).

thf(zip_derived_cl82,plain,
    ( ~ hskp29
    | ( c2_1 @ a1805 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl508,plain,
    ( ( c2_1 @ a1805 )
   <= ( c2_1 @ a1805 ) ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl2111,plain,
    ( ~ ( c3_1 @ a1805 )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X48: $i] :
          ( ( c1_1 @ X48 )
          | ~ ( c2_1 @ X48 )
          | ~ ( c3_1 @ X48 ) )
      & ( c2_1 @ a1805 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1465,zip_derived_cl508]) ).

thf(zip_derived_cl510_036,plain,
    ( ( c3_1 @ a1805 )
   <= ( c3_1 @ a1805 ) ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf('98',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ! [X48: $i] :
          ( ( c1_1 @ X48 )
          | ~ ( c2_1 @ X48 )
          | ~ ( c3_1 @ X48 ) )
    | ~ ( c2_1 @ a1805 )
    | ~ ( c3_1 @ a1805 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2111,zip_derived_cl510]) ).

thf(zip_derived_cl90,plain,
    ( ~ hskp27
    | ( c1_1 @ a1756 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl524,plain,
    ( ( c1_1 @ a1756 )
   <= ( c1_1 @ a1756 ) ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl218_037,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl1262,plain,
    ( ( ~ ( c2_1 @ a1756 )
      | ~ ( c3_1 @ a1756 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c1_1 @ a1756 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl524,zip_derived_cl218]) ).

thf('99',plain,
    ( ~ ( c2_1 @ a1756 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c3_1 @ a1756 )
    | ~ ( c1_1 @ a1756 ) ),
    inference(split,[status(esa)],[zip_derived_cl1262]) ).

thf(zip_derived_cl89,plain,
    ( ~ hskp27
    | ( c0_1 @ a1756 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('100',plain,
    ( ( c0_1 @ a1756 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf('101',plain,
    ( ( c1_1 @ a1756 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl91,plain,
    ( ~ hskp27
    | ( c3_1 @ a1756 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('102',plain,
    ( ( c3_1 @ a1756 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl32,plain,
    ! [X43: $i] :
      ( ( c0_1 @ X43 )
      | ~ ( c2_1 @ X43 )
      | ~ ( c3_1 @ X43 )
      | ~ ndr1_0
      | hskp27
      | hskp22 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('103',plain,
    ( hskp27
    | hskp22
    | ~ ndr1_0
    | ! [X41: $i] :
        ( ( c0_1 @ X41 )
        | ~ ( c2_1 @ X41 )
        | ~ ( c3_1 @ X41 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl50,plain,
    ! [X77: $i] :
      ( ( c0_1 @ X77 )
      | ( c2_1 @ X77 )
      | ~ ( c3_1 @ X77 )
      | ~ ndr1_0
      | hskp15
      | hskp16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl392,plain,
    ( ! [X77: $i] :
        ( ( c0_1 @ X77 )
        | ( c2_1 @ X77 )
        | ~ ( c3_1 @ X77 ) )
   <= ! [X77: $i] :
        ( ( c0_1 @ X77 )
        | ( c2_1 @ X77 )
        | ~ ( c3_1 @ X77 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl135,plain,
    ( ~ hskp16
    | ~ ( c2_1 @ a1780 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl614,plain,
    ( ~ ( c2_1 @ a1780 )
   <= ~ ( c2_1 @ a1780 ) ),
    inference(split,[status(esa)],[zip_derived_cl135]) ).

thf(zip_derived_cl1826,plain,
    ( ( ~ ( c3_1 @ a1780 )
      | ( c0_1 @ a1780 ) )
   <= ( ~ ( c2_1 @ a1780 )
      & ! [X77: $i] :
          ( ( c0_1 @ X77 )
          | ( c2_1 @ X77 )
          | ~ ( c3_1 @ X77 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl392,zip_derived_cl614]) ).

thf('104',plain,
    ( ( c0_1 @ a1780 )
    | ( c2_1 @ a1780 )
    | ~ ! [X77: $i] :
          ( ( c0_1 @ X77 )
          | ( c2_1 @ X77 )
          | ~ ( c3_1 @ X77 ) )
    | ~ ( c3_1 @ a1780 ) ),
    inference(split,[status(esa)],[zip_derived_cl1826]) ).

thf('105',plain,
    ( ( c1_1 @ a1780 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf(zip_derived_cl134,plain,
    ( ~ hskp16
    | ( c3_1 @ a1780 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('106',plain,
    ( ( c3_1 @ a1780 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf('107',plain,
    ( ~ ( c2_1 @ a1780 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl135]) ).

thf(zip_derived_cl10,plain,
    ! [X4: $i] :
      ( ( c3_1 @ X4 )
      | ~ ( c1_1 @ X4 )
      | ~ ( c2_1 @ X4 )
      | ~ ndr1_0
      | hskp24
      | hskp16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('108',plain,
    ( hskp16
    | hskp24
    | ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl101,plain,
    ( ~ hskp24
    | ( c0_1 @ a1809 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('109',plain,
    ( ( c0_1 @ a1809 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf(zip_derived_cl102,plain,
    ( ~ hskp24
    | ~ ( c1_1 @ a1809 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('110',plain,
    ( ~ ( c1_1 @ a1809 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl102]) ).

thf(zip_derived_cl103,plain,
    ( ~ hskp24
    | ~ ( c3_1 @ a1809 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('111',plain,
    ( ~ ( c3_1 @ a1809 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl103]) ).

thf(zip_derived_cl24,plain,
    ! [X30: $i,X31: $i] :
      ( ( c1_1 @ X30 )
      | ( c3_1 @ X30 )
      | ~ ( c0_1 @ X30 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X31 )
      | ~ ( c2_1 @ X31 )
      | ~ ( c3_1 @ X31 )
      | ~ ndr1_0
      | hskp24 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl291,plain,
    ( ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ( c3_1 @ X30 )
        | ~ ( c0_1 @ X30 ) )
   <= ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ( c3_1 @ X30 )
        | ~ ( c0_1 @ X30 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl548,plain,
    ( ~ ( c1_1 @ a1809 )
   <= ~ ( c1_1 @ a1809 ) ),
    inference(split,[status(esa)],[zip_derived_cl102]) ).

thf(zip_derived_cl1142,plain,
    ( ( ~ ( c0_1 @ a1809 )
      | ( c3_1 @ a1809 ) )
   <= ( ~ ( c1_1 @ a1809 )
      & ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ( c3_1 @ X30 )
          | ~ ( c0_1 @ X30 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl291,zip_derived_cl548]) ).

thf('112',plain,
    ( ~ ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ( c3_1 @ X30 )
          | ~ ( c0_1 @ X30 ) )
    | ( c1_1 @ a1809 )
    | ( c3_1 @ a1809 )
    | ~ ( c0_1 @ a1809 ) ),
    inference(split,[status(esa)],[zip_derived_cl1142]) ).

thf('113',plain,
    ( ! [X33: $i] :
        ( ( c3_1 @ X33 )
        | ~ ( c0_1 @ X33 )
        | ~ ( c2_1 @ X33 ) )
    | hskp2
    | ~ ndr1_0
    | ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ( c3_1 @ X30 )
        | ~ ( c0_1 @ X30 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl87,plain,
    ( ~ hskp28
    | ( c2_1 @ a1795 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl518,plain,
    ( ( c2_1 @ a1795 )
   <= ( c2_1 @ a1795 ) ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl294_038,plain,
    ( ! [X33: $i] :
        ( ( c3_1 @ X33 )
        | ~ ( c0_1 @ X33 )
        | ~ ( c2_1 @ X33 ) )
   <= ! [X33: $i] :
        ( ( c3_1 @ X33 )
        | ~ ( c0_1 @ X33 )
        | ~ ( c2_1 @ X33 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl1258,plain,
    ( ( ( c3_1 @ a1795 )
      | ~ ( c0_1 @ a1795 ) )
   <= ( ! [X33: $i] :
          ( ( c3_1 @ X33 )
          | ~ ( c0_1 @ X33 )
          | ~ ( c2_1 @ X33 ) )
      & ( c2_1 @ a1795 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl518,zip_derived_cl294]) ).

thf('114',plain,
    ( ~ ! [X33: $i] :
          ( ( c3_1 @ X33 )
          | ~ ( c0_1 @ X33 )
          | ~ ( c2_1 @ X33 ) )
    | ( c3_1 @ a1795 )
    | ~ ( c2_1 @ a1795 )
    | ~ ( c0_1 @ a1795 ) ),
    inference(split,[status(esa)],[zip_derived_cl1258]) ).

thf(zip_derived_cl86,plain,
    ( ~ hskp28
    | ( c1_1 @ a1795 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl516,plain,
    ( ( c1_1 @ a1795 )
   <= ( c1_1 @ a1795 ) ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf(zip_derived_cl230_039,plain,
    ( ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl1252,plain,
    ( ( ( c3_1 @ a1795 )
      | ~ ( c2_1 @ a1795 ) )
   <= ( ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ( c1_1 @ a1795 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl516,zip_derived_cl230]) ).

thf('115',plain,
    ( ( c3_1 @ a1795 )
    | ~ ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
    | ~ ( c1_1 @ a1795 )
    | ~ ( c2_1 @ a1795 ) ),
    inference(split,[status(esa)],[zip_derived_cl1252]) ).

thf(zip_derived_cl516_040,plain,
    ( ( c1_1 @ a1795 )
   <= ( c1_1 @ a1795 ) ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf(zip_derived_cl218_041,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl1249,plain,
    ( ( ~ ( c2_1 @ a1795 )
      | ~ ( c3_1 @ a1795 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c1_1 @ a1795 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl516,zip_derived_cl218]) ).

thf('116',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c3_1 @ a1795 )
    | ~ ( c2_1 @ a1795 )
    | ~ ( c1_1 @ a1795 ) ),
    inference(split,[status(esa)],[zip_derived_cl1249]) ).

thf(zip_derived_cl85,plain,
    ( ~ hskp28
    | ( c0_1 @ a1795 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('117',plain,
    ( ( c0_1 @ a1795 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf('118',plain,
    ( ~ hskp28
    | ( c1_1 @ a1795 ) ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf('119',plain,
    ( ( c2_1 @ a1795 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl5,plain,
    ( hskp28
    | hskp1
    | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('120',plain,
    ( hskp28
    | hskp1
    | hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl706_042,plain,
    ( ( c1_1 @ a1759 )
   <= ( c1_1 @ a1759 ) ),
    inference(split,[status(esa)],[zip_derived_cl181]) ).

thf(zip_derived_cl250_043,plain,
    ( ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c1_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c1_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl1478,plain,
    ( ( ( c2_1 @ a1759 )
      | ~ ( c0_1 @ a1759 ) )
   <= ( ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c0_1 @ X11 )
          | ~ ( c1_1 @ X11 ) )
      & ( c1_1 @ a1759 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl706,zip_derived_cl250]) ).

thf('121',plain,
    ( ~ ( c0_1 @ a1759 )
    | ~ ( c1_1 @ a1759 )
    | ~ ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c0_1 @ X11 )
          | ~ ( c1_1 @ X11 ) )
    | ( c2_1 @ a1759 ) ),
    inference(split,[status(esa)],[zip_derived_cl1478]) ).

thf('122',plain,
    ( ( c1_1 @ a1759 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl181]) ).

thf('123',plain,
    ( ~ ( c2_1 @ a1759 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf(zip_derived_cl183,plain,
    ( ~ hskp4
    | ~ ( c3_1 @ a1759 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('124',plain,
    ( ~ ( c3_1 @ a1759 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl183]) ).

thf(zip_derived_cl706_044,plain,
    ( ( c1_1 @ a1759 )
   <= ( c1_1 @ a1759 ) ),
    inference(split,[status(esa)],[zip_derived_cl181]) ).

thf(zip_derived_cl47,plain,
    ! [X72: $i] :
      ( ( c0_1 @ X72 )
      | ( c3_1 @ X72 )
      | ~ ( c1_1 @ X72 )
      | ~ ndr1_0
      | hskp19
      | hskp6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl380,plain,
    ( ! [X72: $i] :
        ( ( c0_1 @ X72 )
        | ( c3_1 @ X72 )
        | ~ ( c1_1 @ X72 ) )
   <= ! [X72: $i] :
        ( ( c0_1 @ X72 )
        | ( c3_1 @ X72 )
        | ~ ( c1_1 @ X72 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(zip_derived_cl1759,plain,
    ( ( ( c0_1 @ a1759 )
      | ( c3_1 @ a1759 ) )
   <= ( ! [X72: $i] :
          ( ( c0_1 @ X72 )
          | ( c3_1 @ X72 )
          | ~ ( c1_1 @ X72 ) )
      & ( c1_1 @ a1759 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl706,zip_derived_cl380]) ).

thf('125',plain,
    ( ~ ! [X72: $i] :
          ( ( c0_1 @ X72 )
          | ( c3_1 @ X72 )
          | ~ ( c1_1 @ X72 ) )
    | ( c0_1 @ a1759 )
    | ~ ( c1_1 @ a1759 )
    | ( c3_1 @ a1759 ) ),
    inference(split,[status(esa)],[zip_derived_cl1759]) ).

thf(zip_derived_cl392_045,plain,
    ( ! [X77: $i] :
        ( ( c0_1 @ X77 )
        | ( c2_1 @ X77 )
        | ~ ( c3_1 @ X77 ) )
   <= ! [X77: $i] :
        ( ( c0_1 @ X77 )
        | ( c2_1 @ X77 )
        | ~ ( c3_1 @ X77 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl195,plain,
    ( ~ hskp1
    | ~ ( c2_1 @ a1755 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl734,plain,
    ( ~ ( c2_1 @ a1755 )
   <= ~ ( c2_1 @ a1755 ) ),
    inference(split,[status(esa)],[zip_derived_cl195]) ).

thf(zip_derived_cl1816,plain,
    ( ( ~ ( c3_1 @ a1755 )
      | ( c0_1 @ a1755 ) )
   <= ( ~ ( c2_1 @ a1755 )
      & ! [X77: $i] :
          ( ( c0_1 @ X77 )
          | ( c2_1 @ X77 )
          | ~ ( c3_1 @ X77 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl392,zip_derived_cl734]) ).

thf('126',plain,
    ( ( c0_1 @ a1755 )
    | ~ ( c3_1 @ a1755 )
    | ~ ! [X77: $i] :
          ( ( c0_1 @ X77 )
          | ( c2_1 @ X77 )
          | ~ ( c3_1 @ X77 ) )
    | ( c2_1 @ a1755 ) ),
    inference(split,[status(esa)],[zip_derived_cl1816]) ).

thf(zip_derived_cl193,plain,
    ( ~ hskp1
    | ( c1_1 @ a1755 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('127',plain,
    ( ~ hskp1
    | ( c1_1 @ a1755 ) ),
    inference(split,[status(esa)],[zip_derived_cl193]) ).

thf(zip_derived_cl194,plain,
    ( ~ hskp1
    | ~ ( c0_1 @ a1755 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('128',plain,
    ( ~ hskp1
    | ~ ( c0_1 @ a1755 ) ),
    inference(split,[status(esa)],[zip_derived_cl194]) ).

thf('129',plain,
    ( ~ hskp1
    | ~ ( c2_1 @ a1755 ) ),
    inference(split,[status(esa)],[zip_derived_cl195]) ).

thf(zip_derived_cl730,plain,
    ( ( c1_1 @ a1755 )
   <= ( c1_1 @ a1755 ) ),
    inference(split,[status(esa)],[zip_derived_cl193]) ).

thf(zip_derived_cl380_046,plain,
    ( ! [X72: $i] :
        ( ( c0_1 @ X72 )
        | ( c3_1 @ X72 )
        | ~ ( c1_1 @ X72 ) )
   <= ! [X72: $i] :
        ( ( c0_1 @ X72 )
        | ( c3_1 @ X72 )
        | ~ ( c1_1 @ X72 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(zip_derived_cl1756,plain,
    ( ( ( c0_1 @ a1755 )
      | ( c3_1 @ a1755 ) )
   <= ( ! [X72: $i] :
          ( ( c0_1 @ X72 )
          | ( c3_1 @ X72 )
          | ~ ( c1_1 @ X72 ) )
      & ( c1_1 @ a1755 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl730,zip_derived_cl380]) ).

thf('130',plain,
    ( ( c3_1 @ a1755 )
    | ~ ( c1_1 @ a1755 )
    | ~ ! [X72: $i] :
          ( ( c0_1 @ X72 )
          | ( c3_1 @ X72 )
          | ~ ( c1_1 @ X72 ) )
    | ( c0_1 @ a1755 ) ),
    inference(split,[status(esa)],[zip_derived_cl1756]) ).

thf('131',plain,
    ( hskp13
    | hskp19
    | ~ ndr1_0
    | ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c1_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl610_047,plain,
    ( ( c1_1 @ a1780 )
   <= ( c1_1 @ a1780 ) ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf(zip_derived_cl250_048,plain,
    ( ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c1_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c1_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl1361,plain,
    ( ( ( c2_1 @ a1780 )
      | ~ ( c0_1 @ a1780 ) )
   <= ( ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c0_1 @ X11 )
          | ~ ( c1_1 @ X11 ) )
      & ( c1_1 @ a1780 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl610,zip_derived_cl250]) ).

thf('132',plain,
    ( ~ ( c0_1 @ a1780 )
    | ( c2_1 @ a1780 )
    | ~ ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c0_1 @ X11 )
          | ~ ( c1_1 @ X11 ) )
    | ~ ( c1_1 @ a1780 ) ),
    inference(split,[status(esa)],[zip_derived_cl1361]) ).

thf(zip_derived_cl117,plain,
    ( ~ hskp20
    | ( c0_1 @ a1786 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('133',plain,
    ( ( c0_1 @ a1786 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl117]) ).

thf('134',plain,
    ( ( c1_1 @ a1786 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl118]) ).

thf(zip_derived_cl119,plain,
    ( ~ hskp20
    | ~ ( c3_1 @ a1786 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('135',plain,
    ( ~ ( c3_1 @ a1786 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl119]) ).

thf(zip_derived_cl67,plain,
    ! [X111: $i,X112: $i,X113: $i] :
      ( ( c0_1 @ X111 )
      | ( c1_1 @ X111 )
      | ~ ( c3_1 @ X111 )
      | ~ ndr1_0
      | ( c3_1 @ X112 )
      | ~ ( c0_1 @ X112 )
      | ~ ( c1_1 @ X112 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X113 )
      | ~ ( c1_1 @ X113 )
      | ~ ( c2_1 @ X113 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('136',plain,
    ( ! [X104: $i] :
        ( ( c0_1 @ X104 )
        | ( c1_1 @ X104 )
        | ~ ( c3_1 @ X104 ) )
    | ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c1_1 @ X6 ) )
    | ~ ndr1_0
    | ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl67]) ).

thf(zip_derived_cl31,plain,
    ! [X42: $i] :
      ( ( c0_1 @ X42 )
      | ~ ( c2_1 @ X42 )
      | ~ ( c3_1 @ X42 )
      | ~ ndr1_0
      | hskp20
      | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('137',plain,
    ( hskp8
    | hskp20
    | ! [X41: $i] :
        ( ( c0_1 @ X41 )
        | ~ ( c2_1 @ X41 )
        | ~ ( c3_1 @ X41 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl31]) ).

thf(zip_derived_cl508_049,plain,
    ( ( c2_1 @ a1805 )
   <= ( c2_1 @ a1805 ) ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl268_050,plain,
    ( ! [X17: $i] :
        ( ( c1_1 @ X17 )
        | ~ ( c0_1 @ X17 )
        | ~ ( c2_1 @ X17 ) )
   <= ! [X17: $i] :
        ( ( c1_1 @ X17 )
        | ~ ( c0_1 @ X17 )
        | ~ ( c2_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl226_051,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl925,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ! [X17: $i] :
          ( ( c1_1 @ X17 )
          | ~ ( c0_1 @ X17 )
          | ~ ( c2_1 @ X17 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl268,zip_derived_cl226]) ).

thf(zip_derived_cl954,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ! [X17: $i] :
          ( ( c1_1 @ X17 )
          | ~ ( c0_1 @ X17 )
          | ~ ( c2_1 @ X17 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl925]) ).

thf(zip_derived_cl1239,plain,
    ( ~ ( c0_1 @ a1805 )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ! [X17: $i] :
          ( ( c1_1 @ X17 )
          | ~ ( c0_1 @ X17 )
          | ~ ( c2_1 @ X17 ) )
      & ( c2_1 @ a1805 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl508,zip_derived_cl954]) ).

thf(zip_derived_cl506_052,plain,
    ( ( c0_1 @ a1805 )
   <= ( c0_1 @ a1805 ) ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf('138',plain,
    ( ~ ! [X17: $i] :
          ( ( c1_1 @ X17 )
          | ~ ( c0_1 @ X17 )
          | ~ ( c2_1 @ X17 ) )
    | ~ ( c2_1 @ a1805 )
    | ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
    | ~ ( c0_1 @ a1805 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1239,zip_derived_cl506]) ).

thf(zip_derived_cl165,plain,
    ( ~ hskp8
    | ( c0_1 @ a1765 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('139',plain,
    ( ( c0_1 @ a1765 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf('140',plain,
    ( ( c2_1 @ a1765 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl166]) ).

thf('141',plain,
    ( ~ ( c1_1 @ a1765 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl167]) ).

thf(zip_derived_cl268_053,plain,
    ( ! [X17: $i] :
        ( ( c1_1 @ X17 )
        | ~ ( c0_1 @ X17 )
        | ~ ( c2_1 @ X17 ) )
   <= ! [X17: $i] :
        ( ( c1_1 @ X17 )
        | ~ ( c0_1 @ X17 )
        | ~ ( c2_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl678_054,plain,
    ( ~ ( c1_1 @ a1765 )
   <= ~ ( c1_1 @ a1765 ) ),
    inference(split,[status(esa)],[zip_derived_cl167]) ).

thf(zip_derived_cl932,plain,
    ( ( ~ ( c2_1 @ a1765 )
      | ~ ( c0_1 @ a1765 ) )
   <= ( ~ ( c1_1 @ a1765 )
      & ! [X17: $i] :
          ( ( c1_1 @ X17 )
          | ~ ( c0_1 @ X17 )
          | ~ ( c2_1 @ X17 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl268,zip_derived_cl678]) ).

thf('142',plain,
    ( ~ ! [X17: $i] :
          ( ( c1_1 @ X17 )
          | ~ ( c0_1 @ X17 )
          | ~ ( c2_1 @ X17 ) )
    | ~ ( c2_1 @ a1765 )
    | ( c1_1 @ a1765 )
    | ~ ( c0_1 @ a1765 ) ),
    inference(split,[status(esa)],[zip_derived_cl932]) ).

thf(zip_derived_cl68,plain,
    ! [X114: $i,X115: $i,X116: $i] :
      ( ( c0_1 @ X114 )
      | ( c1_1 @ X114 )
      | ~ ( c3_1 @ X114 )
      | ~ ndr1_0
      | ( c0_1 @ X115 )
      | ~ ( c1_1 @ X115 )
      | ~ ( c2_1 @ X115 )
      | ~ ndr1_0
      | ( c1_1 @ X116 )
      | ~ ( c0_1 @ X116 )
      | ~ ( c2_1 @ X116 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('143',plain,
    ( ! [X104: $i] :
        ( ( c0_1 @ X104 )
        | ( c1_1 @ X104 )
        | ~ ( c3_1 @ X104 ) )
    | ! [X17: $i] :
        ( ( c1_1 @ X17 )
        | ~ ( c0_1 @ X17 )
        | ~ ( c2_1 @ X17 ) )
    | ~ ndr1_0
    | ! [X60: $i] :
        ( ( c0_1 @ X60 )
        | ~ ( c1_1 @ X60 )
        | ~ ( c2_1 @ X60 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl68]) ).

thf(zip_derived_cl449_055,plain,
    ( ! [X104: $i] :
        ( ( c0_1 @ X104 )
        | ( c1_1 @ X104 )
        | ~ ( c3_1 @ X104 ) )
   <= ! [X104: $i] :
        ( ( c0_1 @ X104 )
        | ( c1_1 @ X104 )
        | ~ ( c3_1 @ X104 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl64]) ).

thf(zip_derived_cl606_056,plain,
    ( ~ ( c1_1 @ a1781 )
   <= ~ ( c1_1 @ a1781 ) ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf(zip_derived_cl1881,plain,
    ( ( ~ ( c3_1 @ a1781 )
      | ( c0_1 @ a1781 ) )
   <= ( ~ ( c1_1 @ a1781 )
      & ! [X104: $i] :
          ( ( c0_1 @ X104 )
          | ( c1_1 @ X104 )
          | ~ ( c3_1 @ X104 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl449,zip_derived_cl606]) ).

thf('144',plain,
    ( ( c0_1 @ a1781 )
    | ~ ! [X104: $i] :
          ( ( c0_1 @ X104 )
          | ( c1_1 @ X104 )
          | ~ ( c3_1 @ X104 ) )
    | ( c1_1 @ a1781 )
    | ~ ( c3_1 @ a1781 ) ),
    inference(split,[status(esa)],[zip_derived_cl1881]) ).

thf(zip_derived_cl262_057,plain,
    ( ! [X15: $i] :
        ( ( c1_1 @ X15 )
        | ~ ( c0_1 @ X15 )
        | ~ ( c3_1 @ X15 ) )
   <= ! [X15: $i] :
        ( ( c1_1 @ X15 )
        | ~ ( c0_1 @ X15 )
        | ~ ( c3_1 @ X15 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl606_058,plain,
    ( ~ ( c1_1 @ a1781 )
   <= ~ ( c1_1 @ a1781 ) ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf(zip_derived_cl855,plain,
    ( ( ~ ( c3_1 @ a1781 )
      | ~ ( c0_1 @ a1781 ) )
   <= ( ~ ( c1_1 @ a1781 )
      & ! [X15: $i] :
          ( ( c1_1 @ X15 )
          | ~ ( c0_1 @ X15 )
          | ~ ( c3_1 @ X15 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl262,zip_derived_cl606]) ).

thf('145',plain,
    ( ~ ! [X15: $i] :
          ( ( c1_1 @ X15 )
          | ~ ( c0_1 @ X15 )
          | ~ ( c3_1 @ X15 ) )
    | ~ ( c0_1 @ a1781 )
    | ( c1_1 @ a1781 )
    | ~ ( c3_1 @ a1781 ) ),
    inference(split,[status(esa)],[zip_derived_cl855]) ).

thf(zip_derived_cl130,plain,
    ( ~ hskp17
    | ( c3_1 @ a1781 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('146',plain,
    ( ( c3_1 @ a1781 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf('147',plain,
    ( ~ ( c1_1 @ a1781 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf(zip_derived_cl11,plain,
    ! [X5: $i] :
      ( ( c3_1 @ X5 )
      | ~ ( c1_1 @ X5 )
      | ~ ( c2_1 @ X5 )
      | ~ ndr1_0
      | hskp29
      | hskp30 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('148',plain,
    ( hskp30
    | hskp29
    | ~ ndr1_0
    | ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl49,plain,
    ! [X75: $i,X76: $i] :
      ( ( c0_1 @ X75 )
      | ( c3_1 @ X75 )
      | ~ ( c1_1 @ X75 )
      | ~ ndr1_0
      | ( c1_1 @ X76 )
      | ~ ( c2_1 @ X76 )
      | ~ ( c3_1 @ X76 )
      | ~ ndr1_0
      | hskp17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('149',plain,
    ( hskp17
    | ! [X48: $i] :
        ( ( c1_1 @ X48 )
        | ~ ( c2_1 @ X48 )
        | ~ ( c3_1 @ X48 ) )
    | ~ ndr1_0
    | ! [X72: $i] :
        ( ( c0_1 @ X72 )
        | ( c3_1 @ X72 )
        | ~ ( c1_1 @ X72 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl46,plain,
    ! [X69: $i,X70: $i,X71: $i] :
      ( ( c0_1 @ X69 )
      | ( c3_1 @ X69 )
      | ~ ( c2_1 @ X69 )
      | ~ ndr1_0
      | ( c1_1 @ X70 )
      | ~ ( c0_1 @ X70 )
      | ~ ( c3_1 @ X70 )
      | ~ ndr1_0
      | ( c1_1 @ X71 )
      | ~ ( c2_1 @ X71 )
      | ~ ( c3_1 @ X71 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('150',plain,
    ( ! [X15: $i] :
        ( ( c1_1 @ X15 )
        | ~ ( c0_1 @ X15 )
        | ~ ( c3_1 @ X15 ) )
    | ! [X48: $i] :
        ( ( c1_1 @ X48 )
        | ~ ( c2_1 @ X48 )
        | ~ ( c3_1 @ X48 ) )
    | ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ( c3_1 @ X66 )
        | ~ ( c2_1 @ X66 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl152,plain,
    ( ~ hskp11
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('151',plain,
    ( ndr1_0
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl152]) ).

thf(zip_derived_cl92,plain,
    ( ~ hskp26
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('152',plain,
    ( ndr1_0
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl92]) ).

thf(zip_derived_cl196,plain,
    ( ~ hskp0
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('153',plain,
    ( ~ hskp0
    | ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl196]) ).

thf(zip_derived_cl1,plain,
    ( hskp11
    | hskp0
    | hskp26 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('154',plain,
    ( hskp11
    | hskp26
    | hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl634_059,plain,
    ( ( c1_1 @ a1771 )
   <= ( c1_1 @ a1771 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl230_060,plain,
    ( ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl1378,plain,
    ( ( ( c3_1 @ a1771 )
      | ~ ( c2_1 @ a1771 ) )
   <= ( ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ( c1_1 @ a1771 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl634,zip_derived_cl230]) ).

thf('155',plain,
    ( ~ ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
    | ( c3_1 @ a1771 )
    | ~ ( c1_1 @ a1771 )
    | ~ ( c2_1 @ a1771 ) ),
    inference(split,[status(esa)],[zip_derived_cl1378]) ).

thf(zip_derived_cl175,plain,
    ( ~ hskp6
    | ~ ( c0_1 @ a1762 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('156',plain,
    ( ~ ( c0_1 @ a1762 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl173,plain,
    ( ~ hskp6
    | ( c2_1 @ a1762 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl690,plain,
    ( ( c2_1 @ a1762 )
   <= ( c2_1 @ a1762 ) ),
    inference(split,[status(esa)],[zip_derived_cl173]) ).

thf(zip_derived_cl313_061,plain,
    ( ! [X41: $i] :
        ( ( c0_1 @ X41 )
        | ~ ( c2_1 @ X41 )
        | ~ ( c3_1 @ X41 ) )
   <= ! [X41: $i] :
        ( ( c0_1 @ X41 )
        | ~ ( c2_1 @ X41 )
        | ~ ( c3_1 @ X41 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl1434,plain,
    ( ( ( c0_1 @ a1762 )
      | ~ ( c3_1 @ a1762 ) )
   <= ( ! [X41: $i] :
          ( ( c0_1 @ X41 )
          | ~ ( c2_1 @ X41 )
          | ~ ( c3_1 @ X41 ) )
      & ( c2_1 @ a1762 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl690,zip_derived_cl313]) ).

thf('157',plain,
    ( ~ ! [X41: $i] :
          ( ( c0_1 @ X41 )
          | ~ ( c2_1 @ X41 )
          | ~ ( c3_1 @ X41 ) )
    | ~ ( c3_1 @ a1762 )
    | ( c0_1 @ a1762 )
    | ~ ( c2_1 @ a1762 ) ),
    inference(split,[status(esa)],[zip_derived_cl1434]) ).

thf('158',plain,
    ( ( c2_1 @ a1762 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl173]) ).

thf(zip_derived_cl174,plain,
    ( ~ hskp6
    | ( c3_1 @ a1762 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('159',plain,
    ( ( c3_1 @ a1762 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf(zip_derived_cl1465_062,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X48: $i] :
          ( ( c1_1 @ X48 )
          | ~ ( c2_1 @ X48 )
          | ~ ( c3_1 @ X48 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1436]) ).

thf(zip_derived_cl690_063,plain,
    ( ( c2_1 @ a1762 )
   <= ( c2_1 @ a1762 ) ),
    inference(split,[status(esa)],[zip_derived_cl173]) ).

thf(zip_derived_cl2104,plain,
    ( ~ ( c3_1 @ a1762 )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X48: $i] :
          ( ( c1_1 @ X48 )
          | ~ ( c2_1 @ X48 )
          | ~ ( c3_1 @ X48 ) )
      & ( c2_1 @ a1762 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1465,zip_derived_cl690]) ).

thf(zip_derived_cl692,plain,
    ( ( c3_1 @ a1762 )
   <= ( c3_1 @ a1762 ) ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf('160',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ! [X48: $i] :
          ( ( c1_1 @ X48 )
          | ~ ( c2_1 @ X48 )
          | ~ ( c3_1 @ X48 ) )
    | ~ ( c2_1 @ a1762 )
    | ~ ( c3_1 @ a1762 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2104,zip_derived_cl692]) ).

thf(zip_derived_cl634_064,plain,
    ( ( c1_1 @ a1771 )
   <= ( c1_1 @ a1771 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl353_065,plain,
    ( ! [X60: $i] :
        ( ( c0_1 @ X60 )
        | ~ ( c1_1 @ X60 )
        | ~ ( c2_1 @ X60 ) )
   <= ! [X60: $i] :
        ( ( c0_1 @ X60 )
        | ~ ( c1_1 @ X60 )
        | ~ ( c2_1 @ X60 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl1607,plain,
    ( ( ( c0_1 @ a1771 )
      | ~ ( c2_1 @ a1771 ) )
   <= ( ! [X60: $i] :
          ( ( c0_1 @ X60 )
          | ~ ( c1_1 @ X60 )
          | ~ ( c2_1 @ X60 ) )
      & ( c1_1 @ a1771 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl634,zip_derived_cl353]) ).

thf('161',plain,
    ( ~ ! [X60: $i] :
          ( ( c0_1 @ X60 )
          | ~ ( c1_1 @ X60 )
          | ~ ( c2_1 @ X60 ) )
    | ~ ( c1_1 @ a1771 )
    | ( c0_1 @ a1771 )
    | ~ ( c2_1 @ a1771 ) ),
    inference(split,[status(esa)],[zip_derived_cl1607]) ).

thf(zip_derived_cl146,plain,
    ( ~ hskp13
    | ( c2_1 @ a1771 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl636,plain,
    ( ( c2_1 @ a1771 )
   <= ( c2_1 @ a1771 ) ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf(zip_derived_cl368_066,plain,
    ( ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ( c3_1 @ X66 )
        | ~ ( c2_1 @ X66 ) )
   <= ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ( c3_1 @ X66 )
        | ~ ( c2_1 @ X66 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl44]) ).

thf(zip_derived_cl1628,plain,
    ( ( ( c0_1 @ a1771 )
      | ( c3_1 @ a1771 ) )
   <= ( ! [X66: $i] :
          ( ( c0_1 @ X66 )
          | ( c3_1 @ X66 )
          | ~ ( c2_1 @ X66 ) )
      & ( c2_1 @ a1771 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl636,zip_derived_cl368]) ).

thf('162',plain,
    ( ~ ! [X66: $i] :
          ( ( c0_1 @ X66 )
          | ( c3_1 @ X66 )
          | ~ ( c2_1 @ X66 ) )
    | ( c3_1 @ a1771 )
    | ( c0_1 @ a1771 )
    | ~ ( c2_1 @ a1771 ) ),
    inference(split,[status(esa)],[zip_derived_cl1628]) ).

thf(zip_derived_cl634_067,plain,
    ( ( c1_1 @ a1771 )
   <= ( c1_1 @ a1771 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl380_068,plain,
    ( ! [X72: $i] :
        ( ( c0_1 @ X72 )
        | ( c3_1 @ X72 )
        | ~ ( c1_1 @ X72 ) )
   <= ! [X72: $i] :
        ( ( c0_1 @ X72 )
        | ( c3_1 @ X72 )
        | ~ ( c1_1 @ X72 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(zip_derived_cl1761,plain,
    ( ( ( c0_1 @ a1771 )
      | ( c3_1 @ a1771 ) )
   <= ( ! [X72: $i] :
          ( ( c0_1 @ X72 )
          | ( c3_1 @ X72 )
          | ~ ( c1_1 @ X72 ) )
      & ( c1_1 @ a1771 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl634,zip_derived_cl380]) ).

thf('163',plain,
    ( ~ ! [X72: $i] :
          ( ( c0_1 @ X72 )
          | ( c3_1 @ X72 )
          | ~ ( c1_1 @ X72 ) )
    | ( c3_1 @ a1771 )
    | ( c0_1 @ a1771 )
    | ~ ( c1_1 @ a1771 ) ),
    inference(split,[status(esa)],[zip_derived_cl1761]) ).

thf(zip_derived_cl634_069,plain,
    ( ( c1_1 @ a1771 )
   <= ( c1_1 @ a1771 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl218_070,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl1375,plain,
    ( ( ~ ( c2_1 @ a1771 )
      | ~ ( c3_1 @ a1771 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c1_1 @ a1771 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl634,zip_derived_cl218]) ).

thf('164',plain,
    ( ~ ( c3_1 @ a1771 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c1_1 @ a1771 )
    | ~ ( c2_1 @ a1771 ) ),
    inference(split,[status(esa)],[zip_derived_cl1375]) ).

thf(zip_derived_cl144,plain,
    ( ~ hskp13
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('165',plain,
    ( ndr1_0
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl144]) ).

thf('166',plain,
    ( hskp6
    | hskp19
    | ~ ndr1_0
    | ! [X72: $i] :
        ( ( c0_1 @ X72 )
        | ( c3_1 @ X72 )
        | ~ ( c1_1 @ X72 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf('167',plain,
    ( ( c1_1 @ a1771 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf('168',plain,
    ( ( c2_1 @ a1771 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf(zip_derived_cl147,plain,
    ( ~ hskp13
    | ~ ( c0_1 @ a1771 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('169',plain,
    ( ~ ( c0_1 @ a1771 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf('170',plain,
    ( ( c1_1 @ a1783 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl586_071,plain,
    ( ( c1_1 @ a1783 )
   <= ( c1_1 @ a1783 ) ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl218_072,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl1337,plain,
    ( ( ~ ( c2_1 @ a1783 )
      | ~ ( c3_1 @ a1783 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c1_1 @ a1783 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl586,zip_derived_cl218]) ).

thf('171',plain,
    ( ~ ( c2_1 @ a1783 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c1_1 @ a1783 )
    | ~ ( c3_1 @ a1783 ) ),
    inference(split,[status(esa)],[zip_derived_cl1337]) ).

thf(zip_derived_cl122,plain,
    ( ~ hskp19
    | ( c3_1 @ a1783 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('172',plain,
    ( ( c3_1 @ a1783 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl123,plain,
    ( ~ hskp19
    | ~ ( c0_1 @ a1783 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('173',plain,
    ( ~ ( c0_1 @ a1783 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl2258,plain,
    ( ~ ( c2_1 @ a1783 )
   <= ~ ( c2_1 @ a1783 ) ),
    inference(split,[status(esa)],[zip_derived_cl1337]) ).

thf(zip_derived_cl392_073,plain,
    ( ! [X77: $i] :
        ( ( c0_1 @ X77 )
        | ( c2_1 @ X77 )
        | ~ ( c3_1 @ X77 ) )
   <= ! [X77: $i] :
        ( ( c0_1 @ X77 )
        | ( c2_1 @ X77 )
        | ~ ( c3_1 @ X77 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl2262,plain,
    ( ( ( c0_1 @ a1783 )
      | ~ ( c3_1 @ a1783 ) )
   <= ( ~ ( c2_1 @ a1783 )
      & ! [X77: $i] :
          ( ( c0_1 @ X77 )
          | ( c2_1 @ X77 )
          | ~ ( c3_1 @ X77 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2258,zip_derived_cl392]) ).

thf('174',plain,
    ( ( c2_1 @ a1783 )
    | ~ ! [X77: $i] :
          ( ( c0_1 @ X77 )
          | ( c2_1 @ X77 )
          | ~ ( c3_1 @ X77 ) )
    | ( c0_1 @ a1783 )
    | ~ ( c3_1 @ a1783 ) ),
    inference(split,[status(esa)],[zip_derived_cl2262]) ).

thf(zip_derived_cl524_074,plain,
    ( ( c1_1 @ a1756 )
   <= ( c1_1 @ a1756 ) ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl250_075,plain,
    ( ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c1_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c1_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl1268,plain,
    ( ( ( c2_1 @ a1756 )
      | ~ ( c0_1 @ a1756 ) )
   <= ( ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c0_1 @ X11 )
          | ~ ( c1_1 @ X11 ) )
      & ( c1_1 @ a1756 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl524,zip_derived_cl250]) ).

thf('175',plain,
    ( ( c2_1 @ a1756 )
    | ~ ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c0_1 @ X11 )
          | ~ ( c1_1 @ X11 ) )
    | ~ ( c1_1 @ a1756 )
    | ~ ( c0_1 @ a1756 ) ),
    inference(split,[status(esa)],[zip_derived_cl1268]) ).

thf(zip_derived_cl77,plain,
    ( ~ hskp30
    | ( c1_1 @ a1823 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('176',plain,
    ( ~ hskp30
    | ( c1_1 @ a1823 ) ),
    inference(split,[status(esa)],[zip_derived_cl77]) ).

thf(zip_derived_cl78,plain,
    ( ~ hskp30
    | ( c2_1 @ a1823 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('177',plain,
    ( ( c2_1 @ a1823 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl78]) ).

thf(zip_derived_cl79,plain,
    ( ~ hskp30
    | ( c3_1 @ a1823 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('178',plain,
    ( ( c3_1 @ a1823 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl79]) ).

thf(zip_derived_cl498,plain,
    ( ( c1_1 @ a1823 )
   <= ( c1_1 @ a1823 ) ),
    inference(split,[status(esa)],[zip_derived_cl77]) ).

thf(zip_derived_cl218_076,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl1169,plain,
    ( ( ~ ( c2_1 @ a1823 )
      | ~ ( c3_1 @ a1823 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c1_1 @ a1823 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl498,zip_derived_cl218]) ).

thf('179',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c1_1 @ a1823 )
    | ~ ( c3_1 @ a1823 )
    | ~ ( c2_1 @ a1823 ) ),
    inference(split,[status(esa)],[zip_derived_cl1169]) ).

thf(zip_derived_cl580_077,plain,
    ( ( c1_1 @ a1786 )
   <= ( c1_1 @ a1786 ) ),
    inference(split,[status(esa)],[zip_derived_cl118]) ).

thf(zip_derived_cl244_078,plain,
    ( ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c1_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 )
        | ~ ( c1_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl1334,plain,
    ( ( ( c3_1 @ a1786 )
      | ~ ( c0_1 @ a1786 ) )
   <= ( ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c1_1 @ X6 ) )
      & ( c1_1 @ a1786 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl580,zip_derived_cl244]) ).

thf('180',plain,
    ( ~ ( c0_1 @ a1786 )
    | ~ ( c1_1 @ a1786 )
    | ~ ! [X6: $i] :
          ( ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 )
          | ~ ( c1_1 @ X6 ) )
    | ( c3_1 @ a1786 ) ),
    inference(split,[status(esa)],[zip_derived_cl1334]) ).

thf(zip_derived_cl109,plain,
    ( ~ hskp22
    | ( c3_1 @ a1799 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('181',plain,
    ( ( c3_1 @ a1799 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf(zip_derived_cl110,plain,
    ( ~ hskp22
    | ~ ( c0_1 @ a1799 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('182',plain,
    ( ~ hskp22
    | ~ ( c0_1 @ a1799 ) ),
    inference(split,[status(esa)],[zip_derived_cl110]) ).

thf(zip_derived_cl111,plain,
    ( ~ hskp22
    | ~ ( c2_1 @ a1799 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('183',plain,
    ( ~ hskp22
    | ~ ( c2_1 @ a1799 ) ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl392_079,plain,
    ( ! [X77: $i] :
        ( ( c0_1 @ X77 )
        | ( c2_1 @ X77 )
        | ~ ( c3_1 @ X77 ) )
   <= ! [X77: $i] :
        ( ( c0_1 @ X77 )
        | ( c2_1 @ X77 )
        | ~ ( c3_1 @ X77 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl566,plain,
    ( ~ ( c2_1 @ a1799 )
   <= ~ ( c2_1 @ a1799 ) ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl1829,plain,
    ( ( ~ ( c3_1 @ a1799 )
      | ( c0_1 @ a1799 ) )
   <= ( ~ ( c2_1 @ a1799 )
      & ! [X77: $i] :
          ( ( c0_1 @ X77 )
          | ( c2_1 @ X77 )
          | ~ ( c3_1 @ X77 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl392,zip_derived_cl566]) ).

thf('184',plain,
    ( ( c0_1 @ a1799 )
    | ( c2_1 @ a1799 )
    | ~ ! [X77: $i] :
          ( ( c0_1 @ X77 )
          | ( c2_1 @ X77 )
          | ~ ( c3_1 @ X77 ) )
    | ~ ( c3_1 @ a1799 ) ),
    inference(split,[status(esa)],[zip_derived_cl1829]) ).

thf(zip_derived_cl436_080,plain,
    ( ! [X97: $i] :
        ( ( c0_1 @ X97 )
        | ( c2_1 @ X97 )
        | ( c3_1 @ X97 ) )
   <= ! [X97: $i] :
        ( ( c0_1 @ X97 )
        | ( c2_1 @ X97 )
        | ( c3_1 @ X97 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(zip_derived_cl268_081,plain,
    ( ! [X17: $i] :
        ( ( c1_1 @ X17 )
        | ~ ( c0_1 @ X17 )
        | ~ ( c2_1 @ X17 ) )
   <= ! [X17: $i] :
        ( ( c1_1 @ X17 )
        | ~ ( c0_1 @ X17 )
        | ~ ( c2_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl556_082,plain,
    ( ~ ( c1_1 @ a1807 )
   <= ~ ( c1_1 @ a1807 ) ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(zip_derived_cl937,plain,
    ( ( ~ ( c2_1 @ a1807 )
      | ~ ( c0_1 @ a1807 ) )
   <= ( ~ ( c1_1 @ a1807 )
      & ! [X17: $i] :
          ( ( c1_1 @ X17 )
          | ~ ( c0_1 @ X17 )
          | ~ ( c2_1 @ X17 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl268,zip_derived_cl556]) ).

thf(zip_derived_cl1029,plain,
    ( ~ ( c2_1 @ a1807 )
   <= ~ ( c2_1 @ a1807 ) ),
    inference(split,[status(esa)],[zip_derived_cl937]) ).

thf(zip_derived_cl1925,plain,
    ( ( ( c3_1 @ a1807 )
      | ( c0_1 @ a1807 ) )
   <= ( ~ ( c2_1 @ a1807 )
      & ! [X97: $i] :
          ( ( c0_1 @ X97 )
          | ( c2_1 @ X97 )
          | ( c3_1 @ X97 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl436,zip_derived_cl1029]) ).

thf('185',plain,
    ( ( c2_1 @ a1807 )
    | ( c0_1 @ a1807 )
    | ~ ! [X97: $i] :
          ( ( c0_1 @ X97 )
          | ( c2_1 @ X97 )
          | ( c3_1 @ X97 ) )
    | ( c3_1 @ a1807 ) ),
    inference(split,[status(esa)],[zip_derived_cl1925]) ).

thf(zip_derived_cl189,plain,
    ( ~ hskp2
    | ( c0_1 @ a1757 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('186',plain,
    ( ( c0_1 @ a1757 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf('187',plain,
    ( ( c1_1 @ a1757 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl190]) ).

thf('188',plain,
    ( ~ ( c2_1 @ a1757 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl191]) ).

thf(zip_derived_cl724_083,plain,
    ( ( c1_1 @ a1757 )
   <= ( c1_1 @ a1757 ) ),
    inference(split,[status(esa)],[zip_derived_cl190]) ).

thf(zip_derived_cl250_084,plain,
    ( ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c1_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c1_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl1533,plain,
    ( ( ( c2_1 @ a1757 )
      | ~ ( c0_1 @ a1757 ) )
   <= ( ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c0_1 @ X11 )
          | ~ ( c1_1 @ X11 ) )
      & ( c1_1 @ a1757 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl724,zip_derived_cl250]) ).

thf('189',plain,
    ( ~ ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c0_1 @ X11 )
          | ~ ( c1_1 @ X11 ) )
    | ~ ( c0_1 @ a1757 )
    | ~ ( c1_1 @ a1757 )
    | ( c2_1 @ a1757 ) ),
    inference(split,[status(esa)],[zip_derived_cl1533]) ).

thf('190',plain,
    ( hskp6
    | ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ( c3_1 @ X66 )
        | ~ ( c2_1 @ X66 ) )
    | hskp20
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl44]) ).

thf(zip_derived_cl48,plain,
    ! [X73: $i,X74: $i] :
      ( ( c0_1 @ X73 )
      | ( c3_1 @ X73 )
      | ~ ( c1_1 @ X73 )
      | ~ ndr1_0
      | ( c2_1 @ X74 )
      | ~ ( c0_1 @ X74 )
      | ~ ( c1_1 @ X74 )
      | ~ ndr1_0
      | hskp18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('191',plain,
    ( hskp18
    | ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c1_1 @ X11 ) )
    | ~ ndr1_0
    | ! [X72: $i] :
        ( ( c0_1 @ X72 )
        | ( c3_1 @ X72 )
        | ~ ( c1_1 @ X72 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl125,plain,
    ( ~ hskp18
    | ~ ( c1_1 @ a1782 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('192',plain,
    ( ~ ( c1_1 @ a1782 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl125]) ).

thf('193',plain,
    ( ~ ( c2_1 @ a1782 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl127,plain,
    ( ~ hskp18
    | ~ ( c3_1 @ a1782 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('194',plain,
    ( ~ ( c3_1 @ a1782 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl310_085,plain,
    ( ! [X40: $i] :
        ( ( c1_1 @ X40 )
        | ( c2_1 @ X40 )
        | ( c3_1 @ X40 ) )
   <= ! [X40: $i] :
        ( ( c1_1 @ X40 )
        | ( c2_1 @ X40 )
        | ( c3_1 @ X40 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl594,plain,
    ( ~ ( c1_1 @ a1782 )
   <= ~ ( c1_1 @ a1782 ) ),
    inference(split,[status(esa)],[zip_derived_cl125]) ).

thf(zip_derived_cl1284,plain,
    ( ( ( c3_1 @ a1782 )
      | ( c2_1 @ a1782 ) )
   <= ( ~ ( c1_1 @ a1782 )
      & ! [X40: $i] :
          ( ( c1_1 @ X40 )
          | ( c2_1 @ X40 )
          | ( c3_1 @ X40 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl310,zip_derived_cl594]) ).

thf('195',plain,
    ( ~ ! [X40: $i] :
          ( ( c1_1 @ X40 )
          | ( c2_1 @ X40 )
          | ( c3_1 @ X40 ) )
    | ( c1_1 @ a1782 )
    | ( c2_1 @ a1782 )
    | ( c3_1 @ a1782 ) ),
    inference(split,[status(esa)],[zip_derived_cl1284]) ).

thf(zip_derived_cl63,plain,
    ! [X101: $i,X102: $i,X103: $i] :
      ( ( c0_1 @ X101 )
      | ( c2_1 @ X101 )
      | ( c3_1 @ X101 )
      | ~ ndr1_0
      | ( c1_1 @ X102 )
      | ( c2_1 @ X102 )
      | ( c3_1 @ X102 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X103 )
      | ~ ( c2_1 @ X103 )
      | ~ ( c3_1 @ X103 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('196',plain,
    ( ! [X97: $i] :
        ( ( c0_1 @ X97 )
        | ( c2_1 @ X97 )
        | ( c3_1 @ X97 ) )
    | ! [X40: $i] :
        ( ( c1_1 @ X40 )
        | ( c2_1 @ X40 )
        | ( c3_1 @ X40 ) )
    | ~ ndr1_0
    | ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl63]) ).

thf(zip_derived_cl436_086,plain,
    ( ! [X97: $i] :
        ( ( c0_1 @ X97 )
        | ( c2_1 @ X97 )
        | ( c3_1 @ X97 ) )
   <= ! [X97: $i] :
        ( ( c0_1 @ X97 )
        | ( c2_1 @ X97 )
        | ( c3_1 @ X97 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(zip_derived_cl596_087,plain,
    ( ~ ( c2_1 @ a1782 )
   <= ~ ( c2_1 @ a1782 ) ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl1923,plain,
    ( ( ( c3_1 @ a1782 )
      | ( c0_1 @ a1782 ) )
   <= ( ~ ( c2_1 @ a1782 )
      & ! [X97: $i] :
          ( ( c0_1 @ X97 )
          | ( c2_1 @ X97 )
          | ( c3_1 @ X97 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl436,zip_derived_cl596]) ).

thf('197',plain,
    ( ( c0_1 @ a1782 )
    | ~ ! [X97: $i] :
          ( ( c0_1 @ X97 )
          | ( c2_1 @ X97 )
          | ( c3_1 @ X97 ) )
    | ( c3_1 @ a1782 )
    | ( c2_1 @ a1782 ) ),
    inference(split,[status(esa)],[zip_derived_cl1923]) ).

thf(zip_derived_cl35,plain,
    ! [X49: $i,X50: $i,X51: $i] :
      ( ( c0_1 @ X49 )
      | ~ ( c2_1 @ X49 )
      | ~ ( c3_1 @ X49 )
      | ~ ndr1_0
      | ( c1_1 @ X50 )
      | ( c2_1 @ X50 )
      | ~ ( c0_1 @ X50 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X51 )
      | ~ ( c2_1 @ X51 )
      | ~ ( c3_1 @ X51 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl334,plain,
    ( ! [X50: $i] :
        ( ( c1_1 @ X50 )
        | ( c2_1 @ X50 )
        | ~ ( c0_1 @ X50 ) )
   <= ! [X50: $i] :
        ( ( c1_1 @ X50 )
        | ( c2_1 @ X50 )
        | ~ ( c0_1 @ X50 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl594_088,plain,
    ( ~ ( c1_1 @ a1782 )
   <= ~ ( c1_1 @ a1782 ) ),
    inference(split,[status(esa)],[zip_derived_cl125]) ).

thf(zip_derived_cl1504,plain,
    ( ( ~ ( c0_1 @ a1782 )
      | ( c2_1 @ a1782 ) )
   <= ( ~ ( c1_1 @ a1782 )
      & ! [X50: $i] :
          ( ( c1_1 @ X50 )
          | ( c2_1 @ X50 )
          | ~ ( c0_1 @ X50 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl334,zip_derived_cl594]) ).

thf('198',plain,
    ( ~ ! [X50: $i] :
          ( ( c1_1 @ X50 )
          | ( c2_1 @ X50 )
          | ~ ( c0_1 @ X50 ) )
    | ~ ( c0_1 @ a1782 )
    | ( c1_1 @ a1782 )
    | ( c2_1 @ a1782 ) ),
    inference(split,[status(esa)],[zip_derived_cl1504]) ).

thf('199',plain,
    ( ! [X14: $i] :
        ( ~ ( c0_1 @ X14 )
        | ~ ( c2_1 @ X14 )
        | ~ ( c3_1 @ X14 ) )
    | ! [X50: $i] :
        ( ( c1_1 @ X50 )
        | ( c2_1 @ X50 )
        | ~ ( c0_1 @ X50 ) )
    | ~ ndr1_0
    | ! [X41: $i] :
        ( ( c0_1 @ X41 )
        | ~ ( c2_1 @ X41 )
        | ~ ( c3_1 @ X41 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf('200',plain,
    ( ( c0_1 @ a1805 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf('201',plain,
    ( ( c2_1 @ a1805 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf('202',plain,
    ( ( c3_1 @ a1805 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl508_089,plain,
    ( ( c2_1 @ a1805 )
   <= ( c2_1 @ a1805 ) ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl258_090,plain,
    ( ! [X14: $i] :
        ( ~ ( c0_1 @ X14 )
        | ~ ( c2_1 @ X14 )
        | ~ ( c3_1 @ X14 ) )
   <= ! [X14: $i] :
        ( ~ ( c0_1 @ X14 )
        | ~ ( c2_1 @ X14 )
        | ~ ( c3_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl1240,plain,
    ( ( ~ ( c0_1 @ a1805 )
      | ~ ( c3_1 @ a1805 ) )
   <= ( ! [X14: $i] :
          ( ~ ( c0_1 @ X14 )
          | ~ ( c2_1 @ X14 )
          | ~ ( c3_1 @ X14 ) )
      & ( c2_1 @ a1805 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl508,zip_derived_cl258]) ).

thf('203',plain,
    ( ~ ( c0_1 @ a1805 )
    | ~ ( c3_1 @ a1805 )
    | ~ ! [X14: $i] :
          ( ~ ( c0_1 @ X14 )
          | ~ ( c2_1 @ X14 )
          | ~ ( c3_1 @ X14 ) )
    | ~ ( c2_1 @ a1805 ) ),
    inference(split,[status(esa)],[zip_derived_cl1240]) ).

thf(zip_derived_cl28,plain,
    ! [X38: $i,X39: $i] :
      ( ( c1_1 @ X38 )
      | ( c2_1 @ X38 )
      | ~ ( c3_1 @ X38 )
      | ~ ndr1_0
      | ( c2_1 @ X39 )
      | ( c3_1 @ X39 )
      | ~ ( c0_1 @ X39 )
      | ~ ndr1_0
      | hskp29 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('204',plain,
    ( ! [X36: $i] :
        ( ( c1_1 @ X36 )
        | ( c2_1 @ X36 )
        | ~ ( c3_1 @ X36 ) )
    | hskp29
    | ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c0_1 @ X12 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl303_091,plain,
    ( ! [X36: $i] :
        ( ( c1_1 @ X36 )
        | ( c2_1 @ X36 )
        | ~ ( c3_1 @ X36 ) )
   <= ! [X36: $i] :
        ( ( c1_1 @ X36 )
        | ( c2_1 @ X36 )
        | ~ ( c3_1 @ X36 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl662_092,plain,
    ( ~ ( c1_1 @ a1767 )
   <= ~ ( c1_1 @ a1767 ) ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl1205,plain,
    ( ( ~ ( c3_1 @ a1767 )
      | ( c2_1 @ a1767 ) )
   <= ( ~ ( c1_1 @ a1767 )
      & ! [X36: $i] :
          ( ( c1_1 @ X36 )
          | ( c2_1 @ X36 )
          | ~ ( c3_1 @ X36 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl303,zip_derived_cl662]) ).

thf('205',plain,
    ( ~ ! [X36: $i] :
          ( ( c1_1 @ X36 )
          | ( c2_1 @ X36 )
          | ~ ( c3_1 @ X36 ) )
    | ( c2_1 @ a1767 )
    | ( c1_1 @ a1767 )
    | ~ ( c3_1 @ a1767 ) ),
    inference(split,[status(esa)],[zip_derived_cl1205]) ).

thf(zip_derived_cl7760,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']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SYN482+1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.R0MvyzXiMy true
% 0.13/0.35  % Computer : n010.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Sat Aug 26 18:07:35 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.21/0.36  % Python version: Python 3.6.8
% 0.21/0.36  % Running in FO mode
% 0.21/0.66  % Total configuration time : 435
% 0.21/0.66  % Estimated wc time : 1092
% 0.21/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 6.68/1.61  % Solved by fo/fo1_av.sh.
% 6.68/1.61  % done 2179 iterations in 0.785s
% 6.68/1.61  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 6.68/1.61  % SZS output start Refutation
% See solution above
% 6.68/1.62  
% 6.68/1.62  
% 6.68/1.62  % Terminating...
% 7.33/1.68  % Runner terminated.
% 7.33/1.69  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------