TSTP Solution File: SYN481+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN481+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.k4YxKX5PK8 true

% Computer : n024.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep  1 04:03:59 EDT 2023

% Result   : Theorem 6.32s 1.53s
% Output   : Refutation 6.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   68
% Syntax   : Number of formulae    :  719 (   1 unt;  67 typ;   0 def)
%            Number of atoms       : 4358 (   0 equ;   0 cnn)
%            Maximal formula atoms :  699 (   6 avg)
%            Number of connectives : 9226 (2208   ~;2721   |; 493   &;3312   @)
%                                         (   0 <=>; 212  =>; 280  <=;   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   :  748 (   0   ^; 748   !;   0   ?; 748   :)

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

thf(a1638_type,type,
    a1638: $i ).

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

thf(a1712_type,type,
    a1712: $i ).

thf(a1650_type,type,
    a1650: $i ).

thf(a1699_type,type,
    a1699: $i ).

thf(a1646_type,type,
    a1646: $i ).

thf(a1667_type,type,
    a1667: $i ).

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

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

thf(a1634_type,type,
    a1634: $i ).

thf(a1641_type,type,
    a1641: $i ).

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

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

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

thf(a1636_type,type,
    a1636: $i ).

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

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

thf(a1639_type,type,
    a1639: $i ).

thf(a1682_type,type,
    a1682: $i ).

thf(a1697_type,type,
    a1697: $i ).

thf(a1647_type,type,
    a1647: $i ).

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

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

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

thf(a1648_type,type,
    a1648: $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(a1644_type,type,
    a1644: $i ).

thf(a1653_type,type,
    a1653: $i ).

thf(a1680_type,type,
    a1680: $i ).

thf(a1691_type,type,
    a1691: $i ).

thf(a1737_type,type,
    a1737: $i ).

thf(a1675_type,type,
    a1675: $i ).

thf(a1664_type,type,
    a1664: $i ).

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

thf(a1689_type,type,
    a1689: $i ).

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

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

thf(a1642_type,type,
    a1642: $i ).

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

thf(a1709_type,type,
    a1709: $i ).

thf(a1643_type,type,
    a1643: $i ).

thf(a1658_type,type,
    a1658: $i ).

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

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

thf(a1661_type,type,
    a1661: $i ).

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

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

thf(a1640_type,type,
    a1640: $i ).

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

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

thf(a1701_type,type,
    a1701: $i ).

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

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

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

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

thf(a1637_type,type,
    a1637: $i ).

thf(a1635_type,type,
    a1635: $i ).

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

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

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

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

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

thf(co1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & ( c0_1 @ a1634 )
          & ( c3_1 @ a1634 )
          & ~ ( c1_1 @ a1634 ) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & ~ ( c0_1 @ a1636 )
          & ~ ( c1_1 @ a1636 )
          & ~ ( c2_1 @ a1636 ) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & ( c1_1 @ a1637 )
          & ( c3_1 @ a1637 )
          & ~ ( c0_1 @ a1637 ) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & ( c3_1 @ a1638 )
          & ~ ( c0_1 @ a1638 )
          & ~ ( c2_1 @ a1638 ) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & ( c3_1 @ a1639 )
          & ~ ( c1_1 @ a1639 )
          & ~ ( c2_1 @ a1639 ) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & ( c0_1 @ a1640 )
          & ( c3_1 @ a1640 )
          & ~ ( c2_1 @ a1640 ) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & ( c2_1 @ a1641 )
          & ~ ( c0_1 @ a1641 )
          & ~ ( c3_1 @ a1641 ) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & ( c0_1 @ a1642 )
          & ~ ( c2_1 @ a1642 )
          & ~ ( c3_1 @ a1642 ) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & ( c1_1 @ a1643 )
          & ~ ( c2_1 @ a1643 )
          & ~ ( c3_1 @ a1643 ) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & ~ ( c0_1 @ a1644 )
          & ~ ( c1_1 @ a1644 )
          & ~ ( c3_1 @ a1644 ) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & ( c0_1 @ a1648 )
          & ( c2_1 @ a1648 )
          & ~ ( c3_1 @ a1648 ) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & ( c1_1 @ a1650 )
          & ~ ( c0_1 @ a1650 )
          & ~ ( c3_1 @ a1650 ) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & ( c0_1 @ a1653 )
          & ( c1_1 @ a1653 )
          & ~ ( c3_1 @ a1653 ) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & ( c1_1 @ a1658 )
          & ( c3_1 @ a1658 )
          & ~ ( c2_1 @ a1658 ) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & ( c0_1 @ a1661 )
          & ~ ( c1_1 @ a1661 )
          & ~ ( c3_1 @ a1661 ) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & ( c0_1 @ a1664 )
          & ~ ( c1_1 @ a1664 )
          & ~ ( c2_1 @ a1664 ) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & ( c0_1 @ a1667 )
          & ( c2_1 @ a1667 )
          & ~ ( c1_1 @ a1667 ) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & ( c2_1 @ a1675 )
          & ~ ( c0_1 @ a1675 )
          & ~ ( c1_1 @ a1675 ) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & ( c1_1 @ a1680 )
          & ~ ( c0_1 @ a1680 )
          & ~ ( c2_1 @ a1680 ) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & ( c1_1 @ a1682 )
          & ( c2_1 @ a1682 )
          & ~ ( c3_1 @ a1682 ) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & ( c0_1 @ a1689 )
          & ( c1_1 @ a1689 )
          & ~ ( c2_1 @ a1689 ) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & ( c2_1 @ a1691 )
          & ( c3_1 @ a1691 )
          & ~ ( c1_1 @ a1691 ) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & ~ ( c0_1 @ a1697 )
          & ~ ( c2_1 @ a1697 )
          & ~ ( c3_1 @ a1697 ) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & ~ ( c1_1 @ a1699 )
          & ~ ( c2_1 @ a1699 )
          & ~ ( c3_1 @ a1699 ) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & ( c3_1 @ a1701 )
          & ~ ( c0_1 @ a1701 )
          & ~ ( c1_1 @ a1701 ) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & ( c1_1 @ a1709 )
          & ( c2_1 @ a1709 )
          & ~ ( c0_1 @ a1709 ) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & ( c2_1 @ a1737 )
          & ( c3_1 @ a1737 )
          & ~ ( c0_1 @ a1737 ) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & ( c0_1 @ a1635 )
          & ( c1_1 @ a1635 )
          & ( c2_1 @ a1635 ) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & ( c1_1 @ a1646 )
          & ( c2_1 @ a1646 )
          & ( c3_1 @ a1646 ) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & ( c0_1 @ a1647 )
          & ( c1_1 @ a1647 )
          & ( c3_1 @ a1647 ) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & ( c0_1 @ a1712 )
          & ( c2_1 @ a1712 )
          & ( c3_1 @ a1712 ) ) )
      & ( ! [U: $i] :
            ( ndr1_0
           => ( ( c0_1 @ U )
              | ( c1_1 @ U )
              | ( c2_1 @ U ) ) )
        | ! [V: $i] :
            ( ndr1_0
           => ( ( c0_1 @ V )
              | ( c2_1 @ V )
              | ( c3_1 @ V ) ) )
        | ! [W: $i] :
            ( ndr1_0
           => ( ( c0_1 @ W )
              | ( c2_1 @ W )
              | ~ ( c1_1 @ W ) ) ) )
      & ( ! [X: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X )
              | ( c1_1 @ X )
              | ( c2_1 @ X ) ) )
        | ! [Y: $i] :
            ( ndr1_0
           => ( ( c2_1 @ Y )
              | ( c3_1 @ Y )
              | ~ ( c0_1 @ Y ) ) )
        | hskp0 )
      & ( ! [Z: $i] :
            ( ndr1_0
           => ( ( c0_1 @ Z )
              | ( c1_1 @ Z )
              | ( c2_1 @ Z ) ) )
        | hskp27
        | hskp1 )
      & ( ! [X1: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X1 )
              | ( c1_1 @ X1 )
              | ( c2_1 @ X1 ) ) )
        | hskp2
        | hskp3 )
      & ( ! [X2: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X2 )
              | ( c1_1 @ X2 )
              | ( c3_1 @ X2 ) ) )
        | ! [X3: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X3 )
              | ~ ( c0_1 @ X3 )
              | ~ ( c3_1 @ X3 ) ) )
        | ! [X4: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X4 )
              | ~ ( c1_1 @ X4 )
              | ~ ( c2_1 @ X4 ) ) ) )
      & ( ! [X5: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X5 )
              | ( c1_1 @ X5 )
              | ( c3_1 @ X5 ) ) )
        | ! [X6: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X6 )
              | ~ ( c0_1 @ X6 )
              | ~ ( c1_1 @ X6 ) ) )
        | hskp4 )
      & ( ! [X7: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X7 )
              | ( c1_1 @ X7 )
              | ~ ( c2_1 @ X7 ) ) )
        | ! [X8: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X8 )
              | ( c2_1 @ X8 )
              | ~ ( c0_1 @ X8 ) ) )
        | ! [X9: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X9 )
              | ~ ( c2_1 @ X9 )
              | ~ ( c3_1 @ X9 ) ) ) )
      & ( ! [X10: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X10 )
              | ( c1_1 @ X10 )
              | ~ ( c2_1 @ X10 ) ) )
        | ! [X11: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X11 )
              | ~ ( c0_1 @ X11 )
              | ~ ( c1_1 @ X11 ) ) )
        | ! [X12: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X12 )
              | ~ ( c2_1 @ X12 )
              | ~ ( c3_1 @ X12 ) ) ) )
      & ( ! [X13: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X13 )
              | ( c1_1 @ X13 )
              | ~ ( c2_1 @ X13 ) ) )
        | hskp5
        | hskp6 )
      & ( ! [X14: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X14 )
              | ( c1_1 @ X14 )
              | ~ ( c2_1 @ X14 ) ) )
        | hskp7
        | hskp8 )
      & ( ! [X15: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X15 )
              | ( c1_1 @ X15 )
              | ~ ( c3_1 @ X15 ) ) )
        | ! [X16: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X16 )
              | ~ ( c1_1 @ X16 )
              | ~ ( c2_1 @ X16 ) ) ) )
      & ( ! [X17: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X17 )
              | ( c1_1 @ X17 )
              | ~ ( c3_1 @ X17 ) ) )
        | ! [X18: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X18 )
              | ~ ( c0_1 @ X18 )
              | ~ ( c2_1 @ X18 ) ) )
        | ! [X19: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X19 )
              | ~ ( c2_1 @ X19 )
              | ~ ( c3_1 @ X19 ) ) ) )
      & ( ! [X20: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X20 )
              | ( c1_1 @ X20 )
              | ~ ( c3_1 @ X20 ) ) )
        | ! [X21: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X21 )
              | ~ ( c1_1 @ X21 )
              | ~ ( c2_1 @ X21 ) ) )
        | ! [X22: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X22 )
              | ~ ( c1_1 @ X22 )
              | ~ ( c2_1 @ X22 ) ) ) )
      & ( ! [X23: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X23 )
              | ( c1_1 @ X23 )
              | ~ ( c3_1 @ X23 ) ) )
        | ! [X24: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X24 )
              | ~ ( c2_1 @ X24 )
              | ~ ( c3_1 @ X24 ) ) )
        | hskp9 )
      & ( ! [X25: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X25 )
              | ( c1_1 @ X25 )
              | ~ ( c3_1 @ X25 ) ) )
        | hskp0
        | hskp28 )
      & ( ! [X26: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X26 )
              | ( c2_1 @ X26 )
              | ( c3_1 @ X26 ) ) )
        | ! [X27: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X27 )
              | ( c2_1 @ X27 )
              | ~ ( c3_1 @ X27 ) ) )
        | ! [X28: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X28 )
              | ~ ( c2_1 @ X28 )
              | ~ ( c3_1 @ X28 ) ) ) )
      & ( ! [X29: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X29 )
              | ( c2_1 @ X29 )
              | ( c3_1 @ X29 ) ) )
        | ! [X30: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X30 )
              | ~ ( c1_1 @ X30 )
              | ~ ( c2_1 @ X30 ) ) )
        | ! [X31: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X31 )
              | ~ ( c0_1 @ X31 )
              | ~ ( c2_1 @ X31 ) ) ) )
      & ( ! [X32: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X32 )
              | ( c2_1 @ X32 )
              | ( c3_1 @ X32 ) ) )
        | ! [X33: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X33 )
              | ( c2_1 @ X33 )
              | ~ ( c0_1 @ X33 ) ) )
        | hskp29 )
      & ( ! [X34: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X34 )
              | ( c2_1 @ X34 )
              | ( c3_1 @ X34 ) ) )
        | hskp10
        | hskp1 )
      & ( ! [X35: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X35 )
              | ( c2_1 @ X35 )
              | ~ ( c1_1 @ X35 ) ) )
        | ! [X36: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X36 )
              | ~ ( c0_1 @ X36 )
              | ~ ( c1_1 @ X36 ) ) )
        | hskp11 )
      & ( ! [X37: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X37 )
              | ( c2_1 @ X37 )
              | ~ ( c3_1 @ X37 ) ) )
        | ! [X38: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X38 )
              | ~ ( c1_1 @ X38 )
              | ~ ( c3_1 @ X38 ) ) )
        | hskp11 )
      & ( ! [X39: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X39 )
              | ( c2_1 @ X39 )
              | ~ ( c3_1 @ X39 ) ) )
        | ! [X40: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X40 )
              | ~ ( c0_1 @ X40 )
              | ~ ( c2_1 @ X40 ) ) )
        | hskp29 )
      & ( ! [X41: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X41 )
              | ( c2_1 @ X41 )
              | ~ ( c3_1 @ X41 ) ) )
        | ! [X42: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X42 )
              | ~ ( c2_1 @ X42 )
              | ~ ( c3_1 @ X42 ) ) )
        | hskp12 )
      & ( ! [X43: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X43 )
              | ( c3_1 @ X43 )
              | ~ ( c1_1 @ X43 ) ) )
        | ! [X44: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X44 )
              | ( c2_1 @ X44 )
              | ( c3_1 @ X44 ) ) )
        | hskp3 )
      & ( ! [X45: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X45 )
              | ( c3_1 @ X45 )
              | ~ ( c1_1 @ X45 ) ) )
        | ! [X46: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X46 )
              | ( c2_1 @ X46 )
              | ~ ( c0_1 @ X46 ) ) )
        | ! [X47: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X47 )
              | ~ ( c0_1 @ X47 )
              | ~ ( c1_1 @ X47 ) ) ) )
      & ( ! [X48: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X48 )
              | ~ ( c1_1 @ X48 )
              | ~ ( c2_1 @ X48 ) ) )
        | ! [X49: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X49 )
              | ~ ( c1_1 @ X49 )
              | ~ ( c3_1 @ X49 ) ) )
        | hskp7 )
      & ( ! [X50: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X50 )
              | ~ ( c1_1 @ X50 )
              | ~ ( c2_1 @ X50 ) ) )
        | hskp29
        | hskp5 )
      & ( ! [X51: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X51 )
              | ~ ( c1_1 @ X51 )
              | ~ ( c2_1 @ X51 ) ) )
        | hskp13
        | hskp11 )
      & ( ! [X52: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X52 )
              | ~ ( c1_1 @ X52 )
              | ~ ( c3_1 @ X52 ) ) )
        | ! [X53: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X53 )
              | ( c2_1 @ X53 )
              | ~ ( c0_1 @ X53 ) ) )
        | hskp11 )
      & ( ! [X54: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X54 )
              | ~ ( c1_1 @ X54 )
              | ~ ( c3_1 @ X54 ) ) )
        | ! [X55: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X55 )
              | ( c3_1 @ X55 )
              | ~ ( c2_1 @ X55 ) ) )
        | hskp14 )
      & ( ! [X56: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X56 )
              | ~ ( c1_1 @ X56 )
              | ~ ( c3_1 @ X56 ) ) )
        | ! [X57: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X57 )
              | ~ ( c0_1 @ X57 )
              | ~ ( c3_1 @ X57 ) ) )
        | ! [X58: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X58 )
              | ~ ( c1_1 @ X58 )
              | ~ ( c2_1 @ X58 ) ) ) )
      & ( ! [X59: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X59 )
              | ~ ( c2_1 @ X59 )
              | ~ ( c3_1 @ X59 ) ) )
        | ! [X60: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X60 )
              | ( c2_1 @ X60 )
              | ( c3_1 @ X60 ) ) )
        | hskp5 )
      & ( ! [X61: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X61 )
              | ~ ( c2_1 @ X61 )
              | ~ ( c3_1 @ X61 ) ) )
        | ! [X62: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X62 )
              | ~ ( c2_1 @ X62 )
              | ~ ( c3_1 @ X62 ) ) )
        | hskp5 )
      & ( ! [X63: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X63 )
              | ~ ( c2_1 @ X63 )
              | ~ ( c3_1 @ X63 ) ) )
        | ! [X64: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X64 )
              | ~ ( c0_1 @ X64 )
              | ~ ( c1_1 @ X64 ) ) )
        | hskp15 )
      & ( ! [X65: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X65 )
              | ~ ( c2_1 @ X65 )
              | ~ ( c3_1 @ X65 ) ) )
        | hskp0
        | hskp28 )
      & ( ! [X66: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X66 )
              | ( c2_1 @ X66 )
              | ~ ( c0_1 @ X66 ) ) )
        | hskp16
        | hskp0 )
      & ( ! [X67: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X67 )
              | ( c2_1 @ X67 )
              | ~ ( c3_1 @ X67 ) ) )
        | ! [X68: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X68 )
              | ~ ( c2_1 @ X68 )
              | ~ ( c3_1 @ X68 ) ) )
        | hskp14 )
      & ( ! [X69: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X69 )
              | ( c2_1 @ X69 )
              | ~ ( c3_1 @ X69 ) ) )
        | ! [X70: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X70 )
              | ~ ( c1_1 @ X70 )
              | ~ ( c2_1 @ X70 ) ) )
        | ! [X71: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X71 )
              | ~ ( c1_1 @ X71 )
              | ~ ( c3_1 @ X71 ) ) ) )
      & ( ! [X72: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X72 )
              | ( c2_1 @ X72 )
              | ~ ( c3_1 @ X72 ) ) )
        | hskp16
        | hskp10 )
      & ( ! [X73: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X73 )
              | ( c3_1 @ X73 )
              | ~ ( c2_1 @ X73 ) ) )
        | hskp2
        | hskp9 )
      & ( ! [X74: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X74 )
              | ~ ( c0_1 @ X74 )
              | ~ ( c2_1 @ X74 ) ) )
        | ! [X75: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X75 )
              | ~ ( c0_1 @ X75 )
              | ~ ( c3_1 @ X75 ) ) )
        | hskp2 )
      & ( ! [X76: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X76 )
              | ~ ( c0_1 @ X76 )
              | ~ ( c2_1 @ X76 ) ) )
        | ! [X77: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X77 )
              | ~ ( c0_1 @ X77 )
              | ~ ( c3_1 @ X77 ) ) )
        | hskp17 )
      & ( ! [X78: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X78 )
              | ~ ( c0_1 @ X78 )
              | ~ ( c3_1 @ X78 ) ) )
        | hskp29
        | hskp12 )
      & ( ! [X79: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X79 )
              | ~ ( c0_1 @ X79 )
              | ~ ( c3_1 @ X79 ) ) )
        | hskp29
        | hskp9 )
      & ( ! [X80: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X80 )
              | ~ ( c2_1 @ X80 )
              | ~ ( c3_1 @ X80 ) ) )
        | ! [X81: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X81 )
              | ~ ( c1_1 @ X81 )
              | ~ ( c2_1 @ X81 ) ) )
        | hskp18 )
      & ( ! [X82: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X82 )
              | ~ ( c2_1 @ X82 )
              | ~ ( c3_1 @ X82 ) ) )
        | hskp28
        | hskp19 )
      & ( ! [X83: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X83 )
              | ( c3_1 @ X83 )
              | ~ ( c0_1 @ X83 ) ) )
        | hskp27
        | hskp6 )
      & ( ! [X84: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X84 )
              | ( c3_1 @ X84 )
              | ~ ( c0_1 @ X84 ) ) )
        | hskp7
        | hskp19 )
      & ( ! [X85: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X85 )
              | ( c3_1 @ X85 )
              | ~ ( c0_1 @ X85 ) ) )
        | hskp13
        | hskp9 )
      & ( ! [X86: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X86 )
              | ~ ( c0_1 @ X86 )
              | ~ ( c3_1 @ X86 ) ) )
        | hskp20
        | hskp28 )
      & ( ! [X87: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X87 )
              | ~ ( c1_1 @ X87 )
              | ~ ( c3_1 @ X87 ) ) )
        | hskp21
        | hskp3 )
      & ( ! [X88: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X88 )
              | ~ ( c0_1 @ X88 )
              | ~ ( c1_1 @ X88 ) ) )
        | ! [X89: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X89 )
              | ~ ( c1_1 @ X89 )
              | ~ ( c2_1 @ X89 ) ) )
        | hskp28 )
      & ( ! [X90: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X90 )
              | ~ ( c0_1 @ X90 )
              | ~ ( c2_1 @ X90 ) ) )
        | hskp8
        | hskp1 )
      & ( ! [X91: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X91 )
              | ~ ( c1_1 @ X91 )
              | ~ ( c2_1 @ X91 ) ) )
        | ! [X92: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X92 )
              | ~ ( c1_1 @ X92 )
              | ~ ( c2_1 @ X92 ) ) )
        | hskp9 )
      & ( ! [X93: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X93 )
              | ~ ( c1_1 @ X93 )
              | ~ ( c2_1 @ X93 ) ) )
        | ! [X94: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X94 )
              | ~ ( c1_1 @ X94 )
              | ~ ( c3_1 @ X94 ) ) )
        | hskp22 )
      & ( ! [X95: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X95 )
              | ~ ( c1_1 @ X95 )
              | ~ ( c2_1 @ X95 ) ) )
        | hskp4
        | hskp23 )
      & ( ! [X96: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X96 )
              | ~ ( c1_1 @ X96 )
              | ~ ( c2_1 @ X96 ) ) )
        | hskp29
        | hskp24 )
      & ( ! [X97: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X97 )
              | ~ ( c1_1 @ X97 )
              | ~ ( c2_1 @ X97 ) ) )
        | hskp20
        | hskp21 )
      & ( ! [X98: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X98 )
              | ~ ( c1_1 @ X98 )
              | ~ ( c2_1 @ X98 ) ) )
        | hskp14
        | hskp22 )
      & ( ! [X99: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X99 )
              | ~ ( c2_1 @ X99 )
              | ~ ( c3_1 @ X99 ) ) )
        | hskp7
        | hskp11 )
      & ( ! [X100: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X100 )
              | ~ ( c2_1 @ X100 )
              | ~ ( c3_1 @ X100 ) ) )
        | hskp28
        | hskp25 )
      & ( hskp27
        | hskp20
        | hskp30 )
      & ( hskp29
        | hskp10
        | hskp6 )
      & ( hskp20
        | hskp14 )
      & ( hskp12
        | hskp5
        | hskp24 )
      & ( hskp12
        | hskp25
        | hskp24 )
      & ( hskp30
        | hskp6
        | hskp4 )
      & ( hskp10
        | hskp18
        | hskp11 )
      & ( hskp0
        | hskp5
        | hskp1 )
      & ( hskp0
        | hskp7
        | hskp8 )
      & ( hskp0
        | hskp26
        | hskp1 )
      & ( hskp15
        | hskp19
        | hskp1 )
      & ( hskp7
        | hskp6
        | hskp9 )
      & ( hskp25
        | hskp17
        | hskp1 )
      & ( hskp19
        | hskp21
        | hskp6 )
      & ( hskp11
        | hskp17
        | hskp1 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( ~ hskp0
      | ( ndr1_0
        & ( c0_1 @ a1634 )
        & ( c3_1 @ a1634 )
        & ~ ( c1_1 @ a1634 ) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ~ ( c0_1 @ a1636 )
        & ~ ( c1_1 @ a1636 )
        & ~ ( c2_1 @ a1636 ) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ( c1_1 @ a1637 )
        & ( c3_1 @ a1637 )
        & ~ ( c0_1 @ a1637 ) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ( c3_1 @ a1638 )
        & ~ ( c0_1 @ a1638 )
        & ~ ( c2_1 @ a1638 ) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ( c3_1 @ a1639 )
        & ~ ( c1_1 @ a1639 )
        & ~ ( c2_1 @ a1639 ) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ( c0_1 @ a1640 )
        & ( c3_1 @ a1640 )
        & ~ ( c2_1 @ a1640 ) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ( c2_1 @ a1641 )
        & ~ ( c0_1 @ a1641 )
        & ~ ( c3_1 @ a1641 ) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & ( c0_1 @ a1642 )
        & ~ ( c2_1 @ a1642 )
        & ~ ( c3_1 @ a1642 ) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ( c1_1 @ a1643 )
        & ~ ( c2_1 @ a1643 )
        & ~ ( c3_1 @ a1643 ) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ~ ( c0_1 @ a1644 )
        & ~ ( c1_1 @ a1644 )
        & ~ ( c3_1 @ a1644 ) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ( c0_1 @ a1648 )
        & ( c2_1 @ a1648 )
        & ~ ( c3_1 @ a1648 ) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ( c1_1 @ a1650 )
        & ~ ( c0_1 @ a1650 )
        & ~ ( c3_1 @ a1650 ) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ( c0_1 @ a1653 )
        & ( c1_1 @ a1653 )
        & ~ ( c3_1 @ a1653 ) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & ( c1_1 @ a1658 )
        & ( c3_1 @ a1658 )
        & ~ ( c2_1 @ a1658 ) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ( c0_1 @ a1661 )
        & ~ ( c1_1 @ a1661 )
        & ~ ( c3_1 @ a1661 ) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & ( c0_1 @ a1664 )
        & ~ ( c1_1 @ a1664 )
        & ~ ( c2_1 @ a1664 ) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & ( c0_1 @ a1667 )
        & ( c2_1 @ a1667 )
        & ~ ( c1_1 @ a1667 ) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ( c2_1 @ a1675 )
        & ~ ( c0_1 @ a1675 )
        & ~ ( c1_1 @ a1675 ) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ( c1_1 @ a1680 )
        & ~ ( c0_1 @ a1680 )
        & ~ ( c2_1 @ a1680 ) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ( c1_1 @ a1682 )
        & ( c2_1 @ a1682 )
        & ~ ( c3_1 @ a1682 ) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ( c0_1 @ a1689 )
        & ( c1_1 @ a1689 )
        & ~ ( c2_1 @ a1689 ) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & ( c2_1 @ a1691 )
        & ( c3_1 @ a1691 )
        & ~ ( c1_1 @ a1691 ) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ~ ( c0_1 @ a1697 )
        & ~ ( c2_1 @ a1697 )
        & ~ ( c3_1 @ a1697 ) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ~ ( c1_1 @ a1699 )
        & ~ ( c2_1 @ a1699 )
        & ~ ( c3_1 @ a1699 ) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ( c3_1 @ a1701 )
        & ~ ( c0_1 @ a1701 )
        & ~ ( c1_1 @ a1701 ) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ( c1_1 @ a1709 )
        & ( c2_1 @ a1709 )
        & ~ ( c0_1 @ a1709 ) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ( c2_1 @ a1737 )
        & ( c3_1 @ a1737 )
        & ~ ( c0_1 @ a1737 ) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ( c0_1 @ a1635 )
        & ( c1_1 @ a1635 )
        & ( c2_1 @ a1635 ) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & ( c1_1 @ a1646 )
        & ( c2_1 @ a1646 )
        & ( c3_1 @ a1646 ) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & ( c0_1 @ a1647 )
        & ( c1_1 @ a1647 )
        & ( c3_1 @ a1647 ) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & ( c0_1 @ a1712 )
        & ( c2_1 @ a1712 )
        & ( c3_1 @ a1712 ) ) )
    & ( ! [U: $i] :
          ( ndr1_0
         => ( ( c0_1 @ U )
            | ( c1_1 @ U )
            | ( c2_1 @ U ) ) )
      | ! [V: $i] :
          ( ndr1_0
         => ( ( c0_1 @ V )
            | ( c2_1 @ V )
            | ( c3_1 @ V ) ) )
      | ! [W: $i] :
          ( ndr1_0
         => ( ( c0_1 @ W )
            | ( c2_1 @ W )
            | ~ ( c1_1 @ W ) ) ) )
    & ( ! [X: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X )
            | ( c1_1 @ X )
            | ( c2_1 @ X ) ) )
      | ! [Y: $i] :
          ( ndr1_0
         => ( ( c2_1 @ Y )
            | ( c3_1 @ Y )
            | ~ ( c0_1 @ Y ) ) )
      | hskp0 )
    & ( ! [Z: $i] :
          ( ndr1_0
         => ( ( c0_1 @ Z )
            | ( c1_1 @ Z )
            | ( c2_1 @ Z ) ) )
      | hskp27
      | hskp1 )
    & ( ! [X1: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X1 )
            | ( c1_1 @ X1 )
            | ( c2_1 @ X1 ) ) )
      | hskp2
      | hskp3 )
    & ( ! [X2: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X2 )
            | ( c1_1 @ X2 )
            | ( c3_1 @ X2 ) ) )
      | ! [X3: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X3 )
            | ~ ( c0_1 @ X3 )
            | ~ ( c3_1 @ X3 ) ) )
      | ! [X4: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X4 )
            | ~ ( c1_1 @ X4 )
            | ~ ( c2_1 @ X4 ) ) ) )
    & ( ! [X5: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X5 )
            | ( c1_1 @ X5 )
            | ( c3_1 @ X5 ) ) )
      | ! [X6: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X6 )
            | ~ ( c0_1 @ X6 )
            | ~ ( c1_1 @ X6 ) ) )
      | hskp4 )
    & ( ! [X7: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X7 )
            | ( c1_1 @ X7 )
            | ~ ( c2_1 @ X7 ) ) )
      | ! [X8: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X8 )
            | ( c2_1 @ X8 )
            | ~ ( c0_1 @ X8 ) ) )
      | ! [X9: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X9 )
            | ~ ( c2_1 @ X9 )
            | ~ ( c3_1 @ X9 ) ) ) )
    & ( ! [X10: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X10 )
            | ( c1_1 @ X10 )
            | ~ ( c2_1 @ X10 ) ) )
      | ! [X11: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X11 )
            | ~ ( c0_1 @ X11 )
            | ~ ( c1_1 @ X11 ) ) )
      | ! [X12: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X12 )
            | ~ ( c2_1 @ X12 )
            | ~ ( c3_1 @ X12 ) ) ) )
    & ( ! [X13: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X13 )
            | ( c1_1 @ X13 )
            | ~ ( c2_1 @ X13 ) ) )
      | hskp5
      | hskp6 )
    & ( ! [X14: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X14 )
            | ( c1_1 @ X14 )
            | ~ ( c2_1 @ X14 ) ) )
      | hskp7
      | hskp8 )
    & ( ! [X15: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X15 )
            | ( c1_1 @ X15 )
            | ~ ( c3_1 @ X15 ) ) )
      | ! [X16: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X16 )
            | ~ ( c1_1 @ X16 )
            | ~ ( c2_1 @ X16 ) ) ) )
    & ( ! [X17: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X17 )
            | ( c1_1 @ X17 )
            | ~ ( c3_1 @ X17 ) ) )
      | ! [X18: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X18 )
            | ~ ( c0_1 @ X18 )
            | ~ ( c2_1 @ X18 ) ) )
      | ! [X19: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X19 )
            | ~ ( c2_1 @ X19 )
            | ~ ( c3_1 @ X19 ) ) ) )
    & ( ! [X20: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X20 )
            | ( c1_1 @ X20 )
            | ~ ( c3_1 @ X20 ) ) )
      | ! [X21: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X21 )
            | ~ ( c1_1 @ X21 )
            | ~ ( c2_1 @ X21 ) ) )
      | ! [X22: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X22 )
            | ~ ( c1_1 @ X22 )
            | ~ ( c2_1 @ X22 ) ) ) )
    & ( ! [X23: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X23 )
            | ( c1_1 @ X23 )
            | ~ ( c3_1 @ X23 ) ) )
      | ! [X24: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X24 )
            | ~ ( c2_1 @ X24 )
            | ~ ( c3_1 @ X24 ) ) )
      | hskp9 )
    & ( ! [X25: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X25 )
            | ( c1_1 @ X25 )
            | ~ ( c3_1 @ X25 ) ) )
      | hskp0
      | hskp28 )
    & ( ! [X26: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X26 )
            | ( c2_1 @ X26 )
            | ( c3_1 @ X26 ) ) )
      | ! [X27: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X27 )
            | ( c2_1 @ X27 )
            | ~ ( c3_1 @ X27 ) ) )
      | ! [X28: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X28 )
            | ~ ( c2_1 @ X28 )
            | ~ ( c3_1 @ X28 ) ) ) )
    & ( ! [X29: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X29 )
            | ( c2_1 @ X29 )
            | ( c3_1 @ X29 ) ) )
      | ! [X30: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X30 )
            | ~ ( c1_1 @ X30 )
            | ~ ( c2_1 @ X30 ) ) )
      | ! [X31: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X31 )
            | ~ ( c0_1 @ X31 )
            | ~ ( c2_1 @ X31 ) ) ) )
    & ( ! [X32: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X32 )
            | ( c2_1 @ X32 )
            | ( c3_1 @ X32 ) ) )
      | ! [X33: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X33 )
            | ( c2_1 @ X33 )
            | ~ ( c0_1 @ X33 ) ) )
      | hskp29 )
    & ( ! [X34: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X34 )
            | ( c2_1 @ X34 )
            | ( c3_1 @ X34 ) ) )
      | hskp10
      | hskp1 )
    & ( ! [X35: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X35 )
            | ( c2_1 @ X35 )
            | ~ ( c1_1 @ X35 ) ) )
      | ! [X36: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X36 )
            | ~ ( c0_1 @ X36 )
            | ~ ( c1_1 @ X36 ) ) )
      | hskp11 )
    & ( ! [X37: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X37 )
            | ( c2_1 @ X37 )
            | ~ ( c3_1 @ X37 ) ) )
      | ! [X38: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X38 )
            | ~ ( c1_1 @ X38 )
            | ~ ( c3_1 @ X38 ) ) )
      | hskp11 )
    & ( ! [X39: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X39 )
            | ( c2_1 @ X39 )
            | ~ ( c3_1 @ X39 ) ) )
      | ! [X40: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X40 )
            | ~ ( c0_1 @ X40 )
            | ~ ( c2_1 @ X40 ) ) )
      | hskp29 )
    & ( ! [X41: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X41 )
            | ( c2_1 @ X41 )
            | ~ ( c3_1 @ X41 ) ) )
      | ! [X42: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X42 )
            | ~ ( c2_1 @ X42 )
            | ~ ( c3_1 @ X42 ) ) )
      | hskp12 )
    & ( ! [X43: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X43 )
            | ( c3_1 @ X43 )
            | ~ ( c1_1 @ X43 ) ) )
      | ! [X44: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X44 )
            | ( c2_1 @ X44 )
            | ( c3_1 @ X44 ) ) )
      | hskp3 )
    & ( ! [X45: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X45 )
            | ( c3_1 @ X45 )
            | ~ ( c1_1 @ X45 ) ) )
      | ! [X46: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X46 )
            | ( c2_1 @ X46 )
            | ~ ( c0_1 @ X46 ) ) )
      | ! [X47: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X47 )
            | ~ ( c0_1 @ X47 )
            | ~ ( c1_1 @ X47 ) ) ) )
    & ( ! [X48: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X48 )
            | ~ ( c1_1 @ X48 )
            | ~ ( c2_1 @ X48 ) ) )
      | ! [X49: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X49 )
            | ~ ( c1_1 @ X49 )
            | ~ ( c3_1 @ X49 ) ) )
      | hskp7 )
    & ( ! [X50: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X50 )
            | ~ ( c1_1 @ X50 )
            | ~ ( c2_1 @ X50 ) ) )
      | hskp29
      | hskp5 )
    & ( ! [X51: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X51 )
            | ~ ( c1_1 @ X51 )
            | ~ ( c2_1 @ X51 ) ) )
      | hskp13
      | hskp11 )
    & ( ! [X52: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X52 )
            | ~ ( c1_1 @ X52 )
            | ~ ( c3_1 @ X52 ) ) )
      | ! [X53: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X53 )
            | ( c2_1 @ X53 )
            | ~ ( c0_1 @ X53 ) ) )
      | hskp11 )
    & ( ! [X54: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X54 )
            | ~ ( c1_1 @ X54 )
            | ~ ( c3_1 @ X54 ) ) )
      | ! [X55: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X55 )
            | ( c3_1 @ X55 )
            | ~ ( c2_1 @ X55 ) ) )
      | hskp14 )
    & ( ! [X56: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X56 )
            | ~ ( c1_1 @ X56 )
            | ~ ( c3_1 @ X56 ) ) )
      | ! [X57: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X57 )
            | ~ ( c0_1 @ X57 )
            | ~ ( c3_1 @ X57 ) ) )
      | ! [X58: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X58 )
            | ~ ( c1_1 @ X58 )
            | ~ ( c2_1 @ X58 ) ) ) )
    & ( ! [X59: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X59 )
            | ~ ( c2_1 @ X59 )
            | ~ ( c3_1 @ X59 ) ) )
      | ! [X60: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X60 )
            | ( c2_1 @ X60 )
            | ( c3_1 @ X60 ) ) )
      | hskp5 )
    & ( ! [X61: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X61 )
            | ~ ( c2_1 @ X61 )
            | ~ ( c3_1 @ X61 ) ) )
      | ! [X62: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X62 )
            | ~ ( c2_1 @ X62 )
            | ~ ( c3_1 @ X62 ) ) )
      | hskp5 )
    & ( ! [X63: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X63 )
            | ~ ( c2_1 @ X63 )
            | ~ ( c3_1 @ X63 ) ) )
      | ! [X64: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X64 )
            | ~ ( c0_1 @ X64 )
            | ~ ( c1_1 @ X64 ) ) )
      | hskp15 )
    & ( ! [X65: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X65 )
            | ~ ( c2_1 @ X65 )
            | ~ ( c3_1 @ X65 ) ) )
      | hskp0
      | hskp28 )
    & ( ! [X66: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X66 )
            | ( c2_1 @ X66 )
            | ~ ( c0_1 @ X66 ) ) )
      | hskp16
      | hskp0 )
    & ( ! [X67: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X67 )
            | ( c2_1 @ X67 )
            | ~ ( c3_1 @ X67 ) ) )
      | ! [X68: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X68 )
            | ~ ( c2_1 @ X68 )
            | ~ ( c3_1 @ X68 ) ) )
      | hskp14 )
    & ( ! [X69: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X69 )
            | ( c2_1 @ X69 )
            | ~ ( c3_1 @ X69 ) ) )
      | ! [X70: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X70 )
            | ~ ( c1_1 @ X70 )
            | ~ ( c2_1 @ X70 ) ) )
      | ! [X71: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X71 )
            | ~ ( c1_1 @ X71 )
            | ~ ( c3_1 @ X71 ) ) ) )
    & ( ! [X72: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X72 )
            | ( c2_1 @ X72 )
            | ~ ( c3_1 @ X72 ) ) )
      | hskp16
      | hskp10 )
    & ( ! [X73: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X73 )
            | ( c3_1 @ X73 )
            | ~ ( c2_1 @ X73 ) ) )
      | hskp2
      | hskp9 )
    & ( ! [X74: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X74 )
            | ~ ( c0_1 @ X74 )
            | ~ ( c2_1 @ X74 ) ) )
      | ! [X75: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X75 )
            | ~ ( c0_1 @ X75 )
            | ~ ( c3_1 @ X75 ) ) )
      | hskp2 )
    & ( ! [X76: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X76 )
            | ~ ( c0_1 @ X76 )
            | ~ ( c2_1 @ X76 ) ) )
      | ! [X77: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X77 )
            | ~ ( c0_1 @ X77 )
            | ~ ( c3_1 @ X77 ) ) )
      | hskp17 )
    & ( ! [X78: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X78 )
            | ~ ( c0_1 @ X78 )
            | ~ ( c3_1 @ X78 ) ) )
      | hskp29
      | hskp12 )
    & ( ! [X79: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X79 )
            | ~ ( c0_1 @ X79 )
            | ~ ( c3_1 @ X79 ) ) )
      | hskp29
      | hskp9 )
    & ( ! [X80: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X80 )
            | ~ ( c2_1 @ X80 )
            | ~ ( c3_1 @ X80 ) ) )
      | ! [X81: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X81 )
            | ~ ( c1_1 @ X81 )
            | ~ ( c2_1 @ X81 ) ) )
      | hskp18 )
    & ( ! [X82: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X82 )
            | ~ ( c2_1 @ X82 )
            | ~ ( c3_1 @ X82 ) ) )
      | hskp28
      | hskp19 )
    & ( ! [X83: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X83 )
            | ( c3_1 @ X83 )
            | ~ ( c0_1 @ X83 ) ) )
      | hskp27
      | hskp6 )
    & ( ! [X84: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X84 )
            | ( c3_1 @ X84 )
            | ~ ( c0_1 @ X84 ) ) )
      | hskp7
      | hskp19 )
    & ( ! [X85: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X85 )
            | ( c3_1 @ X85 )
            | ~ ( c0_1 @ X85 ) ) )
      | hskp13
      | hskp9 )
    & ( ! [X86: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X86 )
            | ~ ( c0_1 @ X86 )
            | ~ ( c3_1 @ X86 ) ) )
      | hskp20
      | hskp28 )
    & ( ! [X87: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X87 )
            | ~ ( c1_1 @ X87 )
            | ~ ( c3_1 @ X87 ) ) )
      | hskp21
      | hskp3 )
    & ( ! [X88: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X88 )
            | ~ ( c0_1 @ X88 )
            | ~ ( c1_1 @ X88 ) ) )
      | ! [X89: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X89 )
            | ~ ( c1_1 @ X89 )
            | ~ ( c2_1 @ X89 ) ) )
      | hskp28 )
    & ( ! [X90: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X90 )
            | ~ ( c0_1 @ X90 )
            | ~ ( c2_1 @ X90 ) ) )
      | hskp8
      | hskp1 )
    & ( ! [X91: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X91 )
            | ~ ( c1_1 @ X91 )
            | ~ ( c2_1 @ X91 ) ) )
      | ! [X92: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X92 )
            | ~ ( c1_1 @ X92 )
            | ~ ( c2_1 @ X92 ) ) )
      | hskp9 )
    & ( ! [X93: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X93 )
            | ~ ( c1_1 @ X93 )
            | ~ ( c2_1 @ X93 ) ) )
      | ! [X94: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X94 )
            | ~ ( c1_1 @ X94 )
            | ~ ( c3_1 @ X94 ) ) )
      | hskp22 )
    & ( ! [X95: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X95 )
            | ~ ( c1_1 @ X95 )
            | ~ ( c2_1 @ X95 ) ) )
      | hskp4
      | hskp23 )
    & ( ! [X96: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X96 )
            | ~ ( c1_1 @ X96 )
            | ~ ( c2_1 @ X96 ) ) )
      | hskp29
      | hskp24 )
    & ( ! [X97: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X97 )
            | ~ ( c1_1 @ X97 )
            | ~ ( c2_1 @ X97 ) ) )
      | hskp20
      | hskp21 )
    & ( ! [X98: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X98 )
            | ~ ( c1_1 @ X98 )
            | ~ ( c2_1 @ X98 ) ) )
      | hskp14
      | hskp22 )
    & ( ! [X99: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X99 )
            | ~ ( c2_1 @ X99 )
            | ~ ( c3_1 @ X99 ) ) )
      | hskp7
      | hskp11 )
    & ( ! [X100: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X100 )
            | ~ ( c2_1 @ X100 )
            | ~ ( c3_1 @ X100 ) ) )
      | hskp28
      | hskp25 )
    & ( hskp27
      | hskp20
      | hskp30 )
    & ( hskp29
      | hskp10
      | hskp6 )
    & ( hskp20
      | hskp14 )
    & ( hskp12
      | hskp5
      | hskp24 )
    & ( hskp12
      | hskp25
      | hskp24 )
    & ( hskp30
      | hskp6
      | hskp4 )
    & ( hskp10
      | hskp18
      | hskp11 )
    & ( hskp0
      | hskp5
      | hskp1 )
    & ( hskp0
      | hskp7
      | hskp8 )
    & ( hskp0
      | hskp26
      | hskp1 )
    & ( hskp15
      | hskp19
      | hskp1 )
    & ( hskp7
      | hskp6
      | hskp9 )
    & ( hskp25
      | hskp17
      | hskp1 )
    & ( hskp19
      | hskp21
      | hskp6 )
    & ( hskp11
      | hskp17
      | hskp1 ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl101,plain,
    ( ~ hskp24
    | ( c3_1 @ a1701 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl537,plain,
    ( ( c3_1 @ a1701 )
   <= ( c3_1 @ a1701 ) ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf(zip_derived_cl41,plain,
    ! [X35: $i] :
      ( ( c0_1 @ X35 )
      | ~ ( c2_1 @ X35 )
      | ~ ( c3_1 @ X35 )
      | ~ ndr1_0
      | hskp0
      | hskp28 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl348,plain,
    ( ! [X35: $i] :
        ( ( c0_1 @ X35 )
        | ~ ( c2_1 @ X35 )
        | ~ ( c3_1 @ X35 ) )
   <= ! [X35: $i] :
        ( ( c0_1 @ X35 )
        | ~ ( c2_1 @ X35 )
        | ~ ( c3_1 @ X35 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl1492,plain,
    ( ( ( c0_1 @ a1701 )
      | ~ ( c2_1 @ a1701 ) )
   <= ( ! [X35: $i] :
          ( ( c0_1 @ X35 )
          | ~ ( c2_1 @ X35 )
          | ~ ( c3_1 @ X35 ) )
      & ( c3_1 @ a1701 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl537,zip_derived_cl348]) ).

thf('0',plain,
    ( ~ ( c2_1 @ a1701 )
    | ~ ! [X35: $i] :
          ( ( c0_1 @ X35 )
          | ~ ( c2_1 @ X35 )
          | ~ ( c3_1 @ X35 ) )
    | ( c0_1 @ a1701 )
    | ~ ( c3_1 @ a1701 ) ),
    inference(split,[status(esa)],[zip_derived_cl1492]) ).

thf(zip_derived_cl20,plain,
    ! [X5: $i] :
      ( ( c3_1 @ X5 )
      | ~ ( c1_1 @ X5 )
      | ~ ( c2_1 @ X5 )
      | ~ ndr1_0
      | hskp4
      | hskp23 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl264,plain,
    ( ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl151,plain,
    ( ~ hskp12
    | ~ ( c3_1 @ a1653 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl637,plain,
    ( ~ ( c3_1 @ a1653 )
   <= ~ ( c3_1 @ a1653 ) ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl800,plain,
    ( ( ~ ( c2_1 @ a1653 )
      | ~ ( c1_1 @ a1653 ) )
   <= ( ~ ( c3_1 @ a1653 )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl264,zip_derived_cl637]) ).

thf('1',plain,
    ( ~ ( c2_1 @ a1653 )
    | ~ ( c1_1 @ a1653 )
    | ~ ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
    | ( c3_1 @ a1653 ) ),
    inference(split,[status(esa)],[zip_derived_cl800]) ).

thf(zip_derived_cl150,plain,
    ( ~ hskp12
    | ( c1_1 @ a1653 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl635,plain,
    ( ( c1_1 @ a1653 )
   <= ( c1_1 @ a1653 ) ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf(zip_derived_cl70,plain,
    ! [X94: $i,X95: $i] :
      ( ( c0_1 @ X94 )
      | ( c1_1 @ X94 )
      | ( c3_1 @ X94 )
      | ~ ndr1_0
      | ( c2_1 @ X95 )
      | ~ ( c0_1 @ X95 )
      | ~ ( c1_1 @ X95 )
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl463,plain,
    ( ! [X95: $i] :
        ( ( c2_1 @ X95 )
        | ~ ( c0_1 @ X95 )
        | ~ ( c1_1 @ X95 ) )
   <= ! [X95: $i] :
        ( ( c2_1 @ X95 )
        | ~ ( c0_1 @ X95 )
        | ~ ( c1_1 @ X95 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl70]) ).

thf(zip_derived_cl1641,plain,
    ( ( ( c2_1 @ a1653 )
      | ~ ( c0_1 @ a1653 ) )
   <= ( ! [X95: $i] :
          ( ( c2_1 @ X95 )
          | ~ ( c0_1 @ X95 )
          | ~ ( c1_1 @ X95 ) )
      & ( c1_1 @ a1653 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl635,zip_derived_cl463]) ).

thf('2',plain,
    ( ~ ( c0_1 @ a1653 )
    | ~ ( c1_1 @ a1653 )
    | ~ ! [X95: $i] :
          ( ( c2_1 @ X95 )
          | ~ ( c0_1 @ X95 )
          | ~ ( c1_1 @ X95 ) )
    | ( c2_1 @ a1653 ) ),
    inference(split,[status(esa)],[zip_derived_cl1641]) ).

thf(zip_derived_cl114,plain,
    ( ~ hskp21
    | ( c3_1 @ a1691 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl563,plain,
    ( ( c3_1 @ a1691 )
   <= ( c3_1 @ a1691 ) ),
    inference(split,[status(esa)],[zip_derived_cl114]) ).

thf(zip_derived_cl32,plain,
    ! [X21: $i] :
      ( ( c1_1 @ X21 )
      | ~ ( c0_1 @ X21 )
      | ~ ( c3_1 @ X21 )
      | ~ ndr1_0
      | hskp29
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl312,plain,
    ( ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ~ ( c0_1 @ X21 )
        | ~ ( c3_1 @ X21 ) )
   <= ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ~ ( c0_1 @ X21 )
        | ~ ( c3_1 @ X21 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl1260,plain,
    ( ( ( c1_1 @ a1691 )
      | ~ ( c0_1 @ a1691 ) )
   <= ( ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c3_1 @ X21 ) )
      & ( c3_1 @ a1691 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl563,zip_derived_cl312]) ).

thf('3',plain,
    ( ~ ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c3_1 @ X21 ) )
    | ~ ( c0_1 @ a1691 )
    | ( c1_1 @ a1691 )
    | ~ ( c3_1 @ a1691 ) ),
    inference(split,[status(esa)],[zip_derived_cl1260]) ).

thf(zip_derived_cl563_001,plain,
    ( ( c3_1 @ a1691 )
   <= ( c3_1 @ a1691 ) ),
    inference(split,[status(esa)],[zip_derived_cl114]) ).

thf(zip_derived_cl348_002,plain,
    ( ! [X35: $i] :
        ( ( c0_1 @ X35 )
        | ~ ( c2_1 @ X35 )
        | ~ ( c3_1 @ X35 ) )
   <= ! [X35: $i] :
        ( ( c0_1 @ X35 )
        | ~ ( c2_1 @ X35 )
        | ~ ( c3_1 @ X35 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl1491,plain,
    ( ( ( c0_1 @ a1691 )
      | ~ ( c2_1 @ a1691 ) )
   <= ( ! [X35: $i] :
          ( ( c0_1 @ X35 )
          | ~ ( c2_1 @ X35 )
          | ~ ( c3_1 @ X35 ) )
      & ( c3_1 @ a1691 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl563,zip_derived_cl348]) ).

thf('4',plain,
    ( ( c0_1 @ a1691 )
    | ~ ! [X35: $i] :
          ( ( c0_1 @ X35 )
          | ~ ( c2_1 @ X35 )
          | ~ ( c3_1 @ X35 ) )
    | ~ ( c2_1 @ a1691 )
    | ~ ( c3_1 @ a1691 ) ),
    inference(split,[status(esa)],[zip_derived_cl1491]) ).

thf(zip_derived_cl537_003,plain,
    ( ( c3_1 @ a1701 )
   <= ( c3_1 @ a1701 ) ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf(zip_derived_cl53,plain,
    ! [X58: $i,X59: $i] :
      ( ( c0_1 @ X58 )
      | ( c2_1 @ X58 )
      | ~ ( c3_1 @ X58 )
      | ~ ndr1_0
      | ( c1_1 @ X59 )
      | ~ ( c2_1 @ X59 )
      | ~ ( c3_1 @ X59 )
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl397,plain,
    ( ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c2_1 @ X58 )
        | ~ ( c3_1 @ X58 ) )
   <= ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c2_1 @ X58 )
        | ~ ( c3_1 @ X58 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(zip_derived_cl1719,plain,
    ( ( ( c0_1 @ a1701 )
      | ( c2_1 @ a1701 ) )
   <= ( ! [X58: $i] :
          ( ( c0_1 @ X58 )
          | ( c2_1 @ X58 )
          | ~ ( c3_1 @ X58 ) )
      & ( c3_1 @ a1701 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl537,zip_derived_cl397]) ).

thf('5',plain,
    ( ( c2_1 @ a1701 )
    | ~ ( c3_1 @ a1701 )
    | ( c0_1 @ a1701 )
    | ~ ! [X58: $i] :
          ( ( c0_1 @ X58 )
          | ( c2_1 @ X58 )
          | ~ ( c3_1 @ X58 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl1719]) ).

thf(zip_derived_cl63,plain,
    ! [X78: $i,X79: $i,X80: $i] :
      ( ( c0_1 @ X78 )
      | ( c1_1 @ X78 )
      | ~ ( c3_1 @ X78 )
      | ~ ndr1_0
      | ( c3_1 @ X79 )
      | ~ ( c1_1 @ X79 )
      | ~ ( c2_1 @ X79 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X80 )
      | ~ ( c1_1 @ X80 )
      | ~ ( c2_1 @ X80 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('6',plain,
    ( ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) )
    | ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c1_1 @ X75 )
        | ~ ( c3_1 @ X75 ) )
    | ~ ndr1_0
    | ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl63]) ).

thf(zip_derived_cl19,plain,
    ! [X4: $i] :
      ( ~ ( c0_1 @ X4 )
      | ~ ( c1_1 @ X4 )
      | ~ ( c2_1 @ X4 )
      | ~ ndr1_0
      | hskp29
      | hskp24 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('7',plain,
    ( hskp29
    | hskp24
    | ~ ndr1_0
    | ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl264_004,plain,
    ( ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl159,plain,
    ( ~ hskp10
    | ~ ( c3_1 @ a1648 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl653,plain,
    ( ~ ( c3_1 @ a1648 )
   <= ~ ( c3_1 @ a1648 ) ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl798,plain,
    ( ( ~ ( c2_1 @ a1648 )
      | ~ ( c1_1 @ a1648 ) )
   <= ( ~ ( c3_1 @ a1648 )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl264,zip_derived_cl653]) ).

thf('8',plain,
    ( ~ ( c1_1 @ a1648 )
    | ( c3_1 @ a1648 )
    | ~ ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
    | ~ ( c2_1 @ a1648 ) ),
    inference(split,[status(esa)],[zip_derived_cl798]) ).

thf(zip_derived_cl34,plain,
    ! [X23: $i,X24: $i] :
      ( ( c1_1 @ X23 )
      | ~ ( c0_1 @ X23 )
      | ~ ( c2_1 @ X23 )
      | ~ ndr1_0
      | ( c2_1 @ X24 )
      | ~ ( c0_1 @ X24 )
      | ~ ( c3_1 @ X24 )
      | ~ ndr1_0
      | hskp17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl321,plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c2_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c2_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl825,plain,
    ( ~ ( c1_1 @ a1648 )
   <= ~ ( c1_1 @ a1648 ) ),
    inference(split,[status(esa)],[zip_derived_cl798]) ).

thf(zip_derived_cl1170,plain,
    ( ( ~ ( c2_1 @ a1648 )
      | ~ ( c0_1 @ a1648 ) )
   <= ( ~ ( c1_1 @ a1648 )
      & ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c2_1 @ X23 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl321,zip_derived_cl825]) ).

thf('9',plain,
    ( ( c1_1 @ a1648 )
    | ~ ( c0_1 @ a1648 )
    | ~ ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c2_1 @ X23 ) )
    | ~ ( c2_1 @ a1648 ) ),
    inference(split,[status(esa)],[zip_derived_cl1170]) ).

thf(zip_derived_cl40,plain,
    ! [X34: $i] :
      ( ( c1_1 @ X34 )
      | ( c2_1 @ X34 )
      | ~ ( c0_1 @ X34 )
      | ~ ndr1_0
      | hskp16
      | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl344,plain,
    ( ! [X34: $i] :
        ( ( c1_1 @ X34 )
        | ( c2_1 @ X34 )
        | ~ ( c0_1 @ X34 ) )
   <= ! [X34: $i] :
        ( ( c1_1 @ X34 )
        | ( c2_1 @ X34 )
        | ~ ( c0_1 @ X34 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl264_005,plain,
    ( ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl171,plain,
    ( ~ hskp7
    | ~ ( c3_1 @ a1642 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl677,plain,
    ( ~ ( c3_1 @ a1642 )
   <= ~ ( c3_1 @ a1642 ) ),
    inference(split,[status(esa)],[zip_derived_cl171]) ).

thf(zip_derived_cl795,plain,
    ( ( ~ ( c2_1 @ a1642 )
      | ~ ( c1_1 @ a1642 ) )
   <= ( ~ ( c3_1 @ a1642 )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl264,zip_derived_cl677]) ).

thf(zip_derived_cl819,plain,
    ( ~ ( c1_1 @ a1642 )
   <= ~ ( c1_1 @ a1642 ) ),
    inference(split,[status(esa)],[zip_derived_cl795]) ).

thf(zip_derived_cl1428,plain,
    ( ( ~ ( c0_1 @ a1642 )
      | ( c2_1 @ a1642 ) )
   <= ( ~ ( c1_1 @ a1642 )
      & ! [X34: $i] :
          ( ( c1_1 @ X34 )
          | ( c2_1 @ X34 )
          | ~ ( c0_1 @ X34 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl344,zip_derived_cl819]) ).

thf('10',plain,
    ( ( c1_1 @ a1642 )
    | ( c2_1 @ a1642 )
    | ~ ! [X34: $i] :
          ( ( c1_1 @ X34 )
          | ( c2_1 @ X34 )
          | ~ ( c0_1 @ X34 ) )
    | ~ ( c0_1 @ a1642 ) ),
    inference(split,[status(esa)],[zip_derived_cl1428]) ).

thf(zip_derived_cl4,plain,
    ( hskp15
    | hskp19
    | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('11',plain,
    ( hskp1
    | hskp19
    | hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf(zip_derived_cl137,plain,
    ( ~ hskp15
    | ( c0_1 @ a1664 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('12',plain,
    ( ( c0_1 @ a1664 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(zip_derived_cl138,plain,
    ( ~ hskp15
    | ~ ( c1_1 @ a1664 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('13',plain,
    ( ~ ( c1_1 @ a1664 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf(zip_derived_cl139,plain,
    ( ~ hskp15
    | ~ ( c2_1 @ a1664 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('14',plain,
    ( ~ ( c2_1 @ a1664 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf(zip_derived_cl344_006,plain,
    ( ! [X34: $i] :
        ( ( c1_1 @ X34 )
        | ( c2_1 @ X34 )
        | ~ ( c0_1 @ X34 ) )
   <= ! [X34: $i] :
        ( ( c1_1 @ X34 )
        | ( c2_1 @ X34 )
        | ~ ( c0_1 @ X34 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl611,plain,
    ( ~ ( c1_1 @ a1664 )
   <= ~ ( c1_1 @ a1664 ) ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf(zip_derived_cl1435,plain,
    ( ( ~ ( c0_1 @ a1664 )
      | ( c2_1 @ a1664 ) )
   <= ( ~ ( c1_1 @ a1664 )
      & ! [X34: $i] :
          ( ( c1_1 @ X34 )
          | ( c2_1 @ X34 )
          | ~ ( c0_1 @ X34 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl344,zip_derived_cl611]) ).

thf('15',plain,
    ( ( c1_1 @ a1664 )
    | ( c2_1 @ a1664 )
    | ~ ! [X34: $i] :
          ( ( c1_1 @ X34 )
          | ( c2_1 @ X34 )
          | ~ ( c0_1 @ X34 ) )
    | ~ ( c0_1 @ a1664 ) ),
    inference(split,[status(esa)],[zip_derived_cl1435]) ).

thf(zip_derived_cl56,plain,
    ! [X64: $i,X65: $i] :
      ( ( c0_1 @ X64 )
      | ( c2_1 @ X64 )
      | ~ ( c1_1 @ X64 )
      | ~ ndr1_0
      | ( c3_1 @ X65 )
      | ~ ( c0_1 @ X65 )
      | ~ ( c1_1 @ X65 )
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('16',plain,
    ( hskp11
    | ! [X64: $i] :
        ( ( c0_1 @ X64 )
        | ( c2_1 @ X64 )
        | ~ ( c1_1 @ X64 ) )
    | ! [X11: $i] :
        ( ( c3_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c1_1 @ X11 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl56]) ).

thf(zip_derived_cl145,plain,
    ( ~ hskp13
    | ( c1_1 @ a1658 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl625,plain,
    ( ( c1_1 @ a1658 )
   <= ( c1_1 @ a1658 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl409,plain,
    ( ! [X64: $i] :
        ( ( c0_1 @ X64 )
        | ( c2_1 @ X64 )
        | ~ ( c1_1 @ X64 ) )
   <= ! [X64: $i] :
        ( ( c0_1 @ X64 )
        | ( c2_1 @ X64 )
        | ~ ( c1_1 @ X64 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl56]) ).

thf(zip_derived_cl1740,plain,
    ( ( ( c0_1 @ a1658 )
      | ( c2_1 @ a1658 ) )
   <= ( ! [X64: $i] :
          ( ( c0_1 @ X64 )
          | ( c2_1 @ X64 )
          | ~ ( c1_1 @ X64 ) )
      & ( c1_1 @ a1658 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl625,zip_derived_cl409]) ).

thf('17',plain,
    ( ~ ! [X64: $i] :
          ( ( c0_1 @ X64 )
          | ( c2_1 @ X64 )
          | ~ ( c1_1 @ X64 ) )
    | ( c0_1 @ a1658 )
    | ( c2_1 @ a1658 )
    | ~ ( c1_1 @ a1658 ) ),
    inference(split,[status(esa)],[zip_derived_cl1740]) ).

thf(zip_derived_cl146,plain,
    ( ~ hskp13
    | ( c3_1 @ a1658 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl627,plain,
    ( ( c3_1 @ a1658 )
   <= ( c3_1 @ a1658 ) ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf(zip_derived_cl45,plain,
    ! [X42: $i,X43: $i,X44: $i] :
      ( ( c0_1 @ X42 )
      | ~ ( c1_1 @ X42 )
      | ~ ( c3_1 @ X42 )
      | ~ ndr1_0
      | ( c1_1 @ X43 )
      | ~ ( c0_1 @ X43 )
      | ~ ( c3_1 @ X43 )
      | ~ ndr1_0
      | ( c3_1 @ X44 )
      | ~ ( c1_1 @ X44 )
      | ~ ( c2_1 @ X44 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl366,plain,
    ( ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c3_1 @ X42 ) )
   <= ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c3_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl1563,plain,
    ( ( ( c0_1 @ a1658 )
      | ~ ( c1_1 @ a1658 ) )
   <= ( ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ~ ( c1_1 @ X42 )
          | ~ ( c3_1 @ X42 ) )
      & ( c3_1 @ a1658 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl627,zip_derived_cl366]) ).

thf('18',plain,
    ( ( c0_1 @ a1658 )
    | ~ ( c3_1 @ a1658 )
    | ~ ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ~ ( c1_1 @ X42 )
          | ~ ( c3_1 @ X42 ) )
    | ~ ( c1_1 @ a1658 ) ),
    inference(split,[status(esa)],[zip_derived_cl1563]) ).

thf(zip_derived_cl11,plain,
    ( hskp12
    | hskp5
    | hskp24 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('19',plain,
    ( hskp5
    | hskp24
    | hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl627_007,plain,
    ( ( c3_1 @ a1658 )
   <= ( c3_1 @ a1658 ) ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf(zip_derived_cl26,plain,
    ! [X14: $i] :
      ( ( c2_1 @ X14 )
      | ~ ( c0_1 @ X14 )
      | ~ ( c3_1 @ X14 )
      | ~ ndr1_0
      | hskp20
      | hskp28 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl288,plain,
    ( ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ~ ( c0_1 @ X14 )
        | ~ ( c3_1 @ X14 ) )
   <= ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ~ ( c0_1 @ X14 )
        | ~ ( c3_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl1350,plain,
    ( ( ( c2_1 @ a1658 )
      | ~ ( c0_1 @ a1658 ) )
   <= ( ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ~ ( c0_1 @ X14 )
          | ~ ( c3_1 @ X14 ) )
      & ( c3_1 @ a1658 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl627,zip_derived_cl288]) ).

thf('20',plain,
    ( ~ ( c0_1 @ a1658 )
    | ~ ( c3_1 @ a1658 )
    | ~ ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ~ ( c0_1 @ X14 )
          | ~ ( c3_1 @ X14 ) )
    | ( c2_1 @ a1658 ) ),
    inference(split,[status(esa)],[zip_derived_cl1350]) ).

thf(zip_derived_cl563_008,plain,
    ( ( c3_1 @ a1691 )
   <= ( c3_1 @ a1691 ) ),
    inference(split,[status(esa)],[zip_derived_cl114]) ).

thf(zip_derived_cl64,plain,
    ! [X81: $i,X82: $i,X83: $i] :
      ( ( c0_1 @ X81 )
      | ( c1_1 @ X81 )
      | ~ ( c3_1 @ X81 )
      | ~ ndr1_0
      | ( c3_1 @ X82 )
      | ~ ( c0_1 @ X82 )
      | ~ ( c2_1 @ X82 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X83 )
      | ~ ( c2_1 @ X83 )
      | ~ ( c3_1 @ X83 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl440,plain,
    ( ! [X83: $i] :
        ( ~ ( c0_1 @ X83 )
        | ~ ( c2_1 @ X83 )
        | ~ ( c3_1 @ X83 ) )
   <= ! [X83: $i] :
        ( ~ ( c0_1 @ X83 )
        | ~ ( c2_1 @ X83 )
        | ~ ( c3_1 @ X83 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl64]) ).

thf(zip_derived_cl1261,plain,
    ( ( ~ ( c0_1 @ a1691 )
      | ~ ( c2_1 @ a1691 ) )
   <= ( ! [X83: $i] :
          ( ~ ( c0_1 @ X83 )
          | ~ ( c2_1 @ X83 )
          | ~ ( c3_1 @ X83 ) )
      & ( c3_1 @ a1691 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl563,zip_derived_cl440]) ).

thf('21',plain,
    ( ~ ! [X83: $i] :
          ( ~ ( c0_1 @ X83 )
          | ~ ( c2_1 @ X83 )
          | ~ ( c3_1 @ X83 ) )
    | ~ ( c0_1 @ a1691 )
    | ~ ( c2_1 @ a1691 )
    | ~ ( c3_1 @ a1691 ) ),
    inference(split,[status(esa)],[zip_derived_cl1261]) ).

thf(zip_derived_cl62,plain,
    ! [X76: $i,X77: $i] :
      ( ( c0_1 @ X76 )
      | ( c1_1 @ X76 )
      | ~ ( c3_1 @ X76 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X77 )
      | ~ ( c2_1 @ X77 )
      | ~ ( c3_1 @ X77 )
      | ~ ndr1_0
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('22',plain,
    ( hskp9
    | ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c1_1 @ X75 )
        | ~ ( c3_1 @ X75 ) )
    | ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf(zip_derived_cl87,plain,
    ( ~ hskp28
    | ( c3_1 @ a1646 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl509,plain,
    ( ( c3_1 @ a1646 )
   <= ( c3_1 @ a1646 ) ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i] :
      ( ~ ( c1_1 @ X0 )
      | ~ ( c2_1 @ X0 )
      | ~ ( c3_1 @ X0 )
      | ~ ndr1_0
      | hskp28
      | hskp25 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl244,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_cl15]) ).

thf(zip_derived_cl1220,plain,
    ( ( ~ ( c1_1 @ a1646 )
      | ~ ( c2_1 @ a1646 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c3_1 @ a1646 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl509,zip_derived_cl244]) ).

thf('23',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c2_1 @ a1646 )
    | ~ ( c3_1 @ a1646 )
    | ~ ( c1_1 @ a1646 ) ),
    inference(split,[status(esa)],[zip_derived_cl1220]) ).

thf('24',plain,
    ( ( c1_1 @ a1658 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf('25',plain,
    ( ( c3_1 @ a1658 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf(zip_derived_cl147,plain,
    ( ~ hskp13
    | ~ ( c2_1 @ a1658 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('26',plain,
    ( ~ ( c2_1 @ a1658 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl27,plain,
    ! [X15: $i] :
      ( ( c2_1 @ X15 )
      | ( c3_1 @ X15 )
      | ~ ( c0_1 @ X15 )
      | ~ ndr1_0
      | hskp13
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('27',plain,
    ( hskp13
    | hskp9
    | ~ ndr1_0
    | ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ( c3_1 @ X15 )
        | ~ ( c0_1 @ X15 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl22,plain,
    ! [X8: $i,X9: $i] :
      ( ( c3_1 @ X8 )
      | ~ ( c1_1 @ X8 )
      | ~ ( c2_1 @ X8 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X9 )
      | ~ ( c1_1 @ X9 )
      | ~ ( c2_1 @ X9 )
      | ~ ndr1_0
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('28',plain,
    ( hskp9
    | ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) )
    | ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl24,plain,
    ! [X11: $i,X12: $i] :
      ( ( c3_1 @ X11 )
      | ~ ( c0_1 @ X11 )
      | ~ ( c1_1 @ X11 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X12 )
      | ~ ( c1_1 @ X12 )
      | ~ ( c2_1 @ X12 )
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl281,plain,
    ( ! [X11: $i] :
        ( ( c3_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c1_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c3_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c1_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl677_009,plain,
    ( ~ ( c3_1 @ a1642 )
   <= ~ ( c3_1 @ a1642 ) ),
    inference(split,[status(esa)],[zip_derived_cl171]) ).

thf(zip_derived_cl918,plain,
    ( ( ~ ( c1_1 @ a1642 )
      | ~ ( c0_1 @ a1642 ) )
   <= ( ~ ( c3_1 @ a1642 )
      & ! [X11: $i] :
          ( ( c3_1 @ X11 )
          | ~ ( c0_1 @ X11 )
          | ~ ( c1_1 @ X11 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl281,zip_derived_cl677]) ).

thf('29',plain,
    ( ~ ( c1_1 @ a1642 )
    | ( c3_1 @ a1642 )
    | ~ ! [X11: $i] :
          ( ( c3_1 @ X11 )
          | ~ ( c0_1 @ X11 )
          | ~ ( c1_1 @ X11 ) )
    | ~ ( c0_1 @ a1642 ) ),
    inference(split,[status(esa)],[zip_derived_cl918]) ).

thf(zip_derived_cl18,plain,
    ! [X3: $i] :
      ( ~ ( c0_1 @ X3 )
      | ~ ( c1_1 @ X3 )
      | ~ ( c2_1 @ X3 )
      | ~ ndr1_0
      | hskp20
      | hskp21 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('30',plain,
    ( hskp21
    | hskp20
    | ~ ndr1_0
    | ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf('31',plain,
    ( hskp0
    | hskp16
    | ! [X34: $i] :
        ( ( c1_1 @ X34 )
        | ( c2_1 @ X34 )
        | ~ ( c0_1 @ X34 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl25,plain,
    ! [X13: $i] :
      ( ( c2_1 @ X13 )
      | ~ ( c1_1 @ X13 )
      | ~ ( c3_1 @ X13 )
      | ~ ndr1_0
      | hskp21
      | hskp3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('32',plain,
    ( hskp3
    | ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c1_1 @ X13 )
        | ~ ( c3_1 @ X13 ) )
    | hskp21
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl9,plain,
    ( hskp30
    | hskp6
    | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('33',plain,
    ( hskp30
    | hskp6
    | hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl321_010,plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c2_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c2_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl115,plain,
    ( ~ hskp21
    | ~ ( c1_1 @ a1691 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl565,plain,
    ( ~ ( c1_1 @ a1691 )
   <= ~ ( c1_1 @ a1691 ) ),
    inference(split,[status(esa)],[zip_derived_cl115]) ).

thf(zip_derived_cl1178,plain,
    ( ( ~ ( c2_1 @ a1691 )
      | ~ ( c0_1 @ a1691 ) )
   <= ( ~ ( c1_1 @ a1691 )
      & ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c2_1 @ X23 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl321,zip_derived_cl565]) ).

thf('34',plain,
    ( ~ ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c2_1 @ X23 ) )
    | ~ ( c0_1 @ a1691 )
    | ( c1_1 @ a1691 )
    | ~ ( c2_1 @ a1691 ) ),
    inference(split,[status(esa)],[zip_derived_cl1178]) ).

thf(zip_derived_cl563_011,plain,
    ( ( c3_1 @ a1691 )
   <= ( c3_1 @ a1691 ) ),
    inference(split,[status(esa)],[zip_derived_cl114]) ).

thf(zip_derived_cl61,plain,
    ! [X75: $i] :
      ( ( c0_1 @ X75 )
      | ( c1_1 @ X75 )
      | ~ ( c3_1 @ X75 )
      | ~ ndr1_0
      | hskp0
      | hskp28 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl428,plain,
    ( ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c1_1 @ X75 )
        | ~ ( c3_1 @ X75 ) )
   <= ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c1_1 @ X75 )
        | ~ ( c3_1 @ X75 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(zip_derived_cl1772,plain,
    ( ( ( c0_1 @ a1691 )
      | ( c1_1 @ a1691 ) )
   <= ( ! [X75: $i] :
          ( ( c0_1 @ X75 )
          | ( c1_1 @ X75 )
          | ~ ( c3_1 @ X75 ) )
      & ( c3_1 @ a1691 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl563,zip_derived_cl428]) ).

thf('35',plain,
    ( ( c0_1 @ a1691 )
    | ~ ! [X75: $i] :
          ( ( c0_1 @ X75 )
          | ( c1_1 @ X75 )
          | ~ ( c3_1 @ X75 ) )
    | ( c1_1 @ a1691 )
    | ~ ( c3_1 @ a1691 ) ),
    inference(split,[status(esa)],[zip_derived_cl1772]) ).

thf(zip_derived_cl178,plain,
    ( ~ hskp5
    | ( c3_1 @ a1640 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl691,plain,
    ( ( c3_1 @ a1640 )
   <= ( c3_1 @ a1640 ) ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl37,plain,
    ! [X28: $i] :
      ( ( c1_1 @ X28 )
      | ( c2_1 @ X28 )
      | ~ ( c3_1 @ X28 )
      | ~ ndr1_0
      | hskp16
      | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl332,plain,
    ( ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ( c2_1 @ X28 )
        | ~ ( c3_1 @ X28 ) )
   <= ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ( c2_1 @ X28 )
        | ~ ( c3_1 @ X28 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl1390,plain,
    ( ( ( c1_1 @ a1640 )
      | ( c2_1 @ a1640 ) )
   <= ( ! [X28: $i] :
          ( ( c1_1 @ X28 )
          | ( c2_1 @ X28 )
          | ~ ( c3_1 @ X28 ) )
      & ( c3_1 @ a1640 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl691,zip_derived_cl332]) ).

thf('36',plain,
    ( ( c1_1 @ a1640 )
    | ~ ( c3_1 @ a1640 )
    | ~ ! [X28: $i] :
          ( ( c1_1 @ X28 )
          | ( c2_1 @ X28 )
          | ~ ( c3_1 @ X28 ) )
    | ( c2_1 @ a1640 ) ),
    inference(split,[status(esa)],[zip_derived_cl1390]) ).

thf(zip_derived_cl116,plain,
    ( ~ hskp20
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('37',plain,
    ( ndr1_0
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl116]) ).

thf(zip_derived_cl79,plain,
    ( ~ hskp30
    | ( c3_1 @ a1712 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl493,plain,
    ( ( c3_1 @ a1712 )
   <= ( c3_1 @ a1712 ) ),
    inference(split,[status(esa)],[zip_derived_cl79]) ).

thf(zip_derived_cl244_012,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_cl15]) ).

thf(zip_derived_cl1146,plain,
    ( ( ~ ( c1_1 @ a1712 )
      | ~ ( c2_1 @ a1712 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c3_1 @ a1712 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl493,zip_derived_cl244]) ).

thf(zip_derived_cl2128,plain,
    ( ~ ( c1_1 @ a1712 )
   <= ~ ( c1_1 @ a1712 ) ),
    inference(split,[status(esa)],[zip_derived_cl1146]) ).

thf(zip_derived_cl321_013,plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c2_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c2_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl2130,plain,
    ( ( ~ ( c0_1 @ a1712 )
      | ~ ( c2_1 @ a1712 ) )
   <= ( ~ ( c1_1 @ a1712 )
      & ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c2_1 @ X23 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2128,zip_derived_cl321]) ).

thf('38',plain,
    ( ( c1_1 @ a1712 )
    | ~ ( c2_1 @ a1712 )
    | ~ ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c2_1 @ X23 ) )
    | ~ ( c0_1 @ a1712 ) ),
    inference(split,[status(esa)],[zip_derived_cl2130]) ).

thf(zip_derived_cl112,plain,
    ( ~ hskp21
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('39',plain,
    ( ndr1_0
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl112]) ).

thf(zip_derived_cl321_014,plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c2_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c2_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl142,plain,
    ( ~ hskp14
    | ~ ( c1_1 @ a1661 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl619,plain,
    ( ~ ( c1_1 @ a1661 )
   <= ~ ( c1_1 @ a1661 ) ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf(zip_derived_cl1173,plain,
    ( ( ~ ( c2_1 @ a1661 )
      | ~ ( c0_1 @ a1661 ) )
   <= ( ~ ( c1_1 @ a1661 )
      & ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c2_1 @ X23 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl321,zip_derived_cl619]) ).

thf('40',plain,
    ( ~ ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c2_1 @ X23 ) )
    | ~ ( c2_1 @ a1661 )
    | ~ ( c0_1 @ a1661 )
    | ( c1_1 @ a1661 ) ),
    inference(split,[status(esa)],[zip_derived_cl1173]) ).

thf(zip_derived_cl141,plain,
    ( ~ hskp14
    | ( c0_1 @ a1661 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('41',plain,
    ( ( c0_1 @ a1661 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf('42',plain,
    ( ~ ( c1_1 @ a1661 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf(zip_derived_cl344_015,plain,
    ( ! [X34: $i] :
        ( ( c1_1 @ X34 )
        | ( c2_1 @ X34 )
        | ~ ( c0_1 @ X34 ) )
   <= ! [X34: $i] :
        ( ( c1_1 @ X34 )
        | ( c2_1 @ X34 )
        | ~ ( c0_1 @ X34 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl619_016,plain,
    ( ~ ( c1_1 @ a1661 )
   <= ~ ( c1_1 @ a1661 ) ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf(zip_derived_cl1434,plain,
    ( ( ~ ( c0_1 @ a1661 )
      | ( c2_1 @ a1661 ) )
   <= ( ~ ( c1_1 @ a1661 )
      & ! [X34: $i] :
          ( ( c1_1 @ X34 )
          | ( c2_1 @ X34 )
          | ~ ( c0_1 @ X34 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl344,zip_derived_cl619]) ).

thf('43',plain,
    ( ( c2_1 @ a1661 )
    | ~ ! [X34: $i] :
          ( ( c1_1 @ X34 )
          | ( c2_1 @ X34 )
          | ~ ( c0_1 @ X34 ) )
    | ( c1_1 @ a1661 )
    | ~ ( c0_1 @ a1661 ) ),
    inference(split,[status(esa)],[zip_derived_cl1434]) ).

thf(zip_derived_cl66,plain,
    ! [X86: $i] :
      ( ( c0_1 @ X86 )
      | ( c1_1 @ X86 )
      | ~ ( c2_1 @ X86 )
      | ~ ndr1_0
      | hskp7
      | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl447,plain,
    ( ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c1_1 @ X86 )
        | ~ ( c2_1 @ X86 ) )
   <= ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c1_1 @ X86 )
        | ~ ( c2_1 @ X86 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf(zip_derived_cl264_017,plain,
    ( ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl175,plain,
    ( ~ hskp6
    | ~ ( c3_1 @ a1641 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl685,plain,
    ( ~ ( c3_1 @ a1641 )
   <= ~ ( c3_1 @ a1641 ) ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl794,plain,
    ( ( ~ ( c2_1 @ a1641 )
      | ~ ( c1_1 @ a1641 ) )
   <= ( ~ ( c3_1 @ a1641 )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl264,zip_derived_cl685]) ).

thf(zip_derived_cl817,plain,
    ( ~ ( c1_1 @ a1641 )
   <= ~ ( c1_1 @ a1641 ) ),
    inference(split,[status(esa)],[zip_derived_cl794]) ).

thf(zip_derived_cl1839,plain,
    ( ( ~ ( c2_1 @ a1641 )
      | ( c0_1 @ a1641 ) )
   <= ( ~ ( c1_1 @ a1641 )
      & ! [X86: $i] :
          ( ( c0_1 @ X86 )
          | ( c1_1 @ X86 )
          | ~ ( c2_1 @ X86 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl447,zip_derived_cl817]) ).

thf('44',plain,
    ( ( c1_1 @ a1641 )
    | ( c0_1 @ a1641 )
    | ~ ! [X86: $i] :
          ( ( c0_1 @ X86 )
          | ( c1_1 @ X86 )
          | ~ ( c2_1 @ X86 ) )
    | ~ ( c2_1 @ a1641 ) ),
    inference(split,[status(esa)],[zip_derived_cl1839]) ).

thf('45',plain,
    ( hskp10
    | hskp16
    | ~ ndr1_0
    | ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ( c2_1 @ X28 )
        | ~ ( c3_1 @ X28 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl172,plain,
    ( ~ hskp6
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('46',plain,
    ( ndr1_0
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl172]) ).

thf(zip_derived_cl85,plain,
    ( ~ hskp28
    | ( c1_1 @ a1646 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl505,plain,
    ( ( c1_1 @ a1646 )
   <= ( c1_1 @ a1646 ) ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf(zip_derived_cl48,plain,
    ! [X49: $i] :
      ( ( c0_1 @ X49 )
      | ~ ( c1_1 @ X49 )
      | ~ ( c2_1 @ X49 )
      | ~ ndr1_0
      | hskp13
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl376,plain,
    ( ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ~ ( c1_1 @ X49 )
        | ~ ( c2_1 @ X49 ) )
   <= ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ~ ( c1_1 @ X49 )
        | ~ ( c2_1 @ X49 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl1588,plain,
    ( ( ( c0_1 @ a1646 )
      | ~ ( c2_1 @ a1646 ) )
   <= ( ! [X49: $i] :
          ( ( c0_1 @ X49 )
          | ~ ( c1_1 @ X49 )
          | ~ ( c2_1 @ X49 ) )
      & ( c1_1 @ a1646 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl505,zip_derived_cl376]) ).

thf('47',plain,
    ( ( c0_1 @ a1646 )
    | ~ ! [X49: $i] :
          ( ( c0_1 @ X49 )
          | ~ ( c1_1 @ X49 )
          | ~ ( c2_1 @ X49 ) )
    | ~ ( c2_1 @ a1646 )
    | ~ ( c1_1 @ a1646 ) ),
    inference(split,[status(esa)],[zip_derived_cl1588]) ).

thf(zip_derived_cl321_018,plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c2_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c2_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl17,plain,
    ! [X2: $i] :
      ( ~ ( c0_1 @ X2 )
      | ~ ( c1_1 @ X2 )
      | ~ ( c2_1 @ X2 )
      | ~ ndr1_0
      | hskp14
      | hskp22 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl252,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_cl17]) ).

thf(zip_derived_cl1162,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 ) )
      & ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c2_1 @ X23 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl321,zip_derived_cl252]) ).

thf(zip_derived_cl1207,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c2_1 @ X23 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1162]) ).

thf(zip_derived_cl292,plain,
    ( ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ( c3_1 @ X15 )
        | ~ ( c0_1 @ X15 ) )
   <= ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ( c3_1 @ X15 )
        | ~ ( c0_1 @ X15 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl653_019,plain,
    ( ~ ( c3_1 @ a1648 )
   <= ~ ( c3_1 @ a1648 ) ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl999,plain,
    ( ( ~ ( c0_1 @ a1648 )
      | ( c2_1 @ a1648 ) )
   <= ( ~ ( c3_1 @ a1648 )
      & ! [X15: $i] :
          ( ( c2_1 @ X15 )
          | ( c3_1 @ X15 )
          | ~ ( c0_1 @ X15 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl292,zip_derived_cl653]) ).

thf(zip_derived_cl1083,plain,
    ( ( c2_1 @ a1648 )
   <= ( c2_1 @ a1648 ) ),
    inference(split,[status(esa)],[zip_derived_cl999]) ).

thf(zip_derived_cl2094,plain,
    ( ~ ( c0_1 @ a1648 )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c2_1 @ X23 ) )
      & ( c2_1 @ a1648 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1207,zip_derived_cl1083]) ).

thf(zip_derived_cl157,plain,
    ( ~ hskp10
    | ( c0_1 @ a1648 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl649,plain,
    ( ( c0_1 @ a1648 )
   <= ( c0_1 @ a1648 ) ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf('48',plain,
    ( ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
    | ~ ( c0_1 @ a1648 )
    | ~ ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c2_1 @ X23 ) )
    | ~ ( c2_1 @ a1648 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2094,zip_derived_cl649]) ).

thf(zip_derived_cl185,plain,
    ( ~ hskp3
    | ( c3_1 @ a1638 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl705,plain,
    ( ( c3_1 @ a1638 )
   <= ( c3_1 @ a1638 ) ),
    inference(split,[status(esa)],[zip_derived_cl185]) ).

thf(zip_derived_cl366_020,plain,
    ( ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c3_1 @ X42 ) )
   <= ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c3_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl1560,plain,
    ( ( ( c0_1 @ a1638 )
      | ~ ( c1_1 @ a1638 ) )
   <= ( ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ~ ( c1_1 @ X42 )
          | ~ ( c3_1 @ X42 ) )
      & ( c3_1 @ a1638 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl705,zip_derived_cl366]) ).

thf('49',plain,
    ( ~ ( c1_1 @ a1638 )
    | ~ ( c3_1 @ a1638 )
    | ~ ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ~ ( c1_1 @ X42 )
          | ~ ( c3_1 @ X42 ) )
    | ( c0_1 @ a1638 ) ),
    inference(split,[status(esa)],[zip_derived_cl1560]) ).

thf('50',plain,
    ( ( c3_1 @ a1638 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl185]) ).

thf(zip_derived_cl186,plain,
    ( ~ hskp3
    | ~ ( c0_1 @ a1638 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('51',plain,
    ( ~ ( c0_1 @ a1638 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl186]) ).

thf(zip_derived_cl705_021,plain,
    ( ( c3_1 @ a1638 )
   <= ( c3_1 @ a1638 ) ),
    inference(split,[status(esa)],[zip_derived_cl185]) ).

thf(zip_derived_cl428_022,plain,
    ( ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c1_1 @ X75 )
        | ~ ( c3_1 @ X75 ) )
   <= ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c1_1 @ X75 )
        | ~ ( c3_1 @ X75 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(zip_derived_cl1768,plain,
    ( ( ( c0_1 @ a1638 )
      | ( c1_1 @ a1638 ) )
   <= ( ! [X75: $i] :
          ( ( c0_1 @ X75 )
          | ( c1_1 @ X75 )
          | ~ ( c3_1 @ X75 ) )
      & ( c3_1 @ a1638 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl705,zip_derived_cl428]) ).

thf('52',plain,
    ( ( c1_1 @ a1638 )
    | ~ ( c3_1 @ a1638 )
    | ~ ! [X75: $i] :
          ( ( c0_1 @ X75 )
          | ( c1_1 @ X75 )
          | ~ ( c3_1 @ X75 ) )
    | ( c0_1 @ a1638 ) ),
    inference(split,[status(esa)],[zip_derived_cl1768]) ).

thf(zip_derived_cl89,plain,
    ( ~ hskp27
    | ( c0_1 @ a1635 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('53',plain,
    ( ( c0_1 @ a1635 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf(zip_derived_cl90,plain,
    ( ~ hskp27
    | ( c1_1 @ a1635 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('54',plain,
    ( ( c1_1 @ a1635 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl91,plain,
    ( ~ hskp27
    | ( c2_1 @ a1635 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('55',plain,
    ( ( c2_1 @ a1635 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl515,plain,
    ( ( c1_1 @ a1635 )
   <= ( c1_1 @ a1635 ) ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl252_023,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_cl17]) ).

thf(zip_derived_cl1231,plain,
    ( ( ~ ( c0_1 @ a1635 )
      | ~ ( c2_1 @ a1635 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ( c1_1 @ a1635 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl515,zip_derived_cl252]) ).

thf('56',plain,
    ( ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
    | ~ ( c1_1 @ a1635 )
    | ~ ( c0_1 @ a1635 )
    | ~ ( c2_1 @ a1635 ) ),
    inference(split,[status(esa)],[zip_derived_cl1231]) ).

thf('57',plain,
    ( hskp28
    | hskp20
    | ~ ndr1_0
    | ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ~ ( c0_1 @ X14 )
        | ~ ( c3_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl153,plain,
    ( ~ hskp11
    | ( c1_1 @ a1650 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl641,plain,
    ( ( c1_1 @ a1650 )
   <= ( c1_1 @ a1650 ) ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl409_024,plain,
    ( ! [X64: $i] :
        ( ( c0_1 @ X64 )
        | ( c2_1 @ X64 )
        | ~ ( c1_1 @ X64 ) )
   <= ! [X64: $i] :
        ( ( c0_1 @ X64 )
        | ( c2_1 @ X64 )
        | ~ ( c1_1 @ X64 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl56]) ).

thf(zip_derived_cl1738,plain,
    ( ( ( c0_1 @ a1650 )
      | ( c2_1 @ a1650 ) )
   <= ( ! [X64: $i] :
          ( ( c0_1 @ X64 )
          | ( c2_1 @ X64 )
          | ~ ( c1_1 @ X64 ) )
      & ( c1_1 @ a1650 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl641,zip_derived_cl409]) ).

thf('58',plain,
    ( ~ ! [X64: $i] :
          ( ( c0_1 @ X64 )
          | ( c2_1 @ X64 )
          | ~ ( c1_1 @ X64 ) )
    | ( c2_1 @ a1650 )
    | ~ ( c1_1 @ a1650 )
    | ( c0_1 @ a1650 ) ),
    inference(split,[status(esa)],[zip_derived_cl1738]) ).

thf(zip_derived_cl264_025,plain,
    ( ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl155,plain,
    ( ~ hskp11
    | ~ ( c3_1 @ a1650 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl645,plain,
    ( ~ ( c3_1 @ a1650 )
   <= ~ ( c3_1 @ a1650 ) ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf(zip_derived_cl799,plain,
    ( ( ~ ( c2_1 @ a1650 )
      | ~ ( c1_1 @ a1650 ) )
   <= ( ~ ( c3_1 @ a1650 )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl264,zip_derived_cl645]) ).

thf('59',plain,
    ( ~ ( c2_1 @ a1650 )
    | ( c3_1 @ a1650 )
    | ~ ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
    | ~ ( c1_1 @ a1650 ) ),
    inference(split,[status(esa)],[zip_derived_cl799]) ).

thf(zip_derived_cl71,plain,
    ! [X96: $i,X97: $i,X98: $i] :
      ( ( c0_1 @ X96 )
      | ( c1_1 @ X96 )
      | ( c3_1 @ X96 )
      | ~ ndr1_0
      | ( c1_1 @ X97 )
      | ~ ( c0_1 @ X97 )
      | ~ ( c3_1 @ X97 )
      | ~ ndr1_0
      | ( c3_1 @ X98 )
      | ~ ( c1_1 @ X98 )
      | ~ ( c2_1 @ X98 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('60',plain,
    ( ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) )
    | ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ~ ( c0_1 @ X21 )
        | ~ ( c3_1 @ X21 ) )
    | ~ ndr1_0
    | ! [X94: $i] :
        ( ( c0_1 @ X94 )
        | ( c1_1 @ X94 )
        | ( c3_1 @ X94 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl71]) ).

thf(zip_derived_cl537_026,plain,
    ( ( c3_1 @ a1701 )
   <= ( c3_1 @ a1701 ) ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf(zip_derived_cl30,plain,
    ! [X18: $i] :
      ( ( c1_1 @ X18 )
      | ~ ( c2_1 @ X18 )
      | ~ ( c3_1 @ X18 )
      | ~ ndr1_0
      | hskp28
      | hskp19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl304,plain,
    ( ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ~ ( c2_1 @ X18 )
        | ~ ( c3_1 @ X18 ) )
   <= ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ~ ( c2_1 @ X18 )
        | ~ ( c3_1 @ X18 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl1252,plain,
    ( ( ( c1_1 @ a1701 )
      | ~ ( c2_1 @ a1701 ) )
   <= ( ! [X18: $i] :
          ( ( c1_1 @ X18 )
          | ~ ( c2_1 @ X18 )
          | ~ ( c3_1 @ X18 ) )
      & ( c3_1 @ a1701 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl537,zip_derived_cl304]) ).

thf('61',plain,
    ( ~ ( c2_1 @ a1701 )
    | ~ ! [X18: $i] :
          ( ( c1_1 @ X18 )
          | ~ ( c2_1 @ X18 )
          | ~ ( c3_1 @ X18 ) )
    | ( c1_1 @ a1701 )
    | ~ ( c3_1 @ a1701 ) ),
    inference(split,[status(esa)],[zip_derived_cl1252]) ).

thf(zip_derived_cl10,plain,
    ( hskp12
    | hskp25
    | hskp24 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('62',plain,
    ( hskp25
    | hskp24
    | hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl51,plain,
    ! [X53: $i,X54: $i,X55: $i] :
      ( ( c0_1 @ X53 )
      | ( c3_1 @ X53 )
      | ~ ( c1_1 @ X53 )
      | ~ ndr1_0
      | ( c1_1 @ X54 )
      | ( c2_1 @ X54 )
      | ~ ( c0_1 @ X54 )
      | ~ ndr1_0
      | ( c3_1 @ X55 )
      | ~ ( c0_1 @ X55 )
      | ~ ( c1_1 @ X55 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('63',plain,
    ( ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ( c3_1 @ X53 )
        | ~ ( c1_1 @ X53 ) )
    | ! [X11: $i] :
        ( ( c3_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c1_1 @ X11 ) )
    | ~ ndr1_0
    | ! [X34: $i] :
        ( ( c1_1 @ X34 )
        | ( c2_1 @ X34 )
        | ~ ( c0_1 @ X34 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf(zip_derived_cl47,plain,
    ! [X47: $i,X48: $i] :
      ( ( c0_1 @ X47 )
      | ~ ( c1_1 @ X47 )
      | ~ ( c3_1 @ X47 )
      | ~ ndr1_0
      | ( c1_1 @ X48 )
      | ( c2_1 @ X48 )
      | ~ ( c0_1 @ X48 )
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('64',plain,
    ( hskp11
    | ! [X34: $i] :
        ( ( c1_1 @ X34 )
        | ( c2_1 @ X34 )
        | ~ ( c0_1 @ X34 ) )
    | ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c3_1 @ X42 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(zip_derived_cl390,plain,
    ( ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ( c3_1 @ X53 )
        | ~ ( c1_1 @ X53 ) )
   <= ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ( c3_1 @ X53 )
        | ~ ( c1_1 @ X53 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf(zip_derived_cl645_027,plain,
    ( ~ ( c3_1 @ a1650 )
   <= ~ ( c3_1 @ a1650 ) ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf(zip_derived_cl1675,plain,
    ( ( ~ ( c1_1 @ a1650 )
      | ( c0_1 @ a1650 ) )
   <= ( ~ ( c3_1 @ a1650 )
      & ! [X53: $i] :
          ( ( c0_1 @ X53 )
          | ( c3_1 @ X53 )
          | ~ ( c1_1 @ X53 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl390,zip_derived_cl645]) ).

thf('65',plain,
    ( ~ ! [X53: $i] :
          ( ( c0_1 @ X53 )
          | ( c3_1 @ X53 )
          | ~ ( c1_1 @ X53 ) )
    | ( c0_1 @ a1650 )
    | ( c3_1 @ a1650 )
    | ~ ( c1_1 @ a1650 ) ),
    inference(split,[status(esa)],[zip_derived_cl1675]) ).

thf(zip_derived_cl72,plain,
    ! [X99: $i] :
      ( ( c0_1 @ X99 )
      | ( c1_1 @ X99 )
      | ( c2_1 @ X99 )
      | ~ ndr1_0
      | hskp2
      | hskp3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl471,plain,
    ( ! [X99: $i] :
        ( ( c0_1 @ X99 )
        | ( c1_1 @ X99 )
        | ( c2_1 @ X99 ) )
   <= ! [X99: $i] :
        ( ( c0_1 @ X99 )
        | ( c1_1 @ X99 )
        | ( c2_1 @ X99 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl72]) ).

thf(zip_derived_cl182,plain,
    ( ~ hskp4
    | ~ ( c1_1 @ a1639 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl699,plain,
    ( ~ ( c1_1 @ a1639 )
   <= ~ ( c1_1 @ a1639 ) ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf(zip_derived_cl1931,plain,
    ( ( ( c2_1 @ a1639 )
      | ( c0_1 @ a1639 ) )
   <= ( ~ ( c1_1 @ a1639 )
      & ! [X99: $i] :
          ( ( c0_1 @ X99 )
          | ( c1_1 @ X99 )
          | ( c2_1 @ X99 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl471,zip_derived_cl699]) ).

thf('66',plain,
    ( ~ ! [X99: $i] :
          ( ( c0_1 @ X99 )
          | ( c1_1 @ X99 )
          | ( c2_1 @ X99 ) )
    | ( c0_1 @ a1639 )
    | ( c1_1 @ a1639 )
    | ( c2_1 @ a1639 ) ),
    inference(split,[status(esa)],[zip_derived_cl1931]) ).

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

thf('67',plain,
    ( ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ( c2_1 @ X66 )
        | ( c3_1 @ X66 ) )
    | ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c2_1 @ X58 )
        | ~ ( c3_1 @ X58 ) )
    | ~ ndr1_0
    | ! [X35: $i] :
        ( ( c0_1 @ X35 )
        | ~ ( c2_1 @ X35 )
        | ~ ( c3_1 @ X35 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl60]) ).

thf(zip_derived_cl75,plain,
    ! [X103: $i,X104: $i,X105: $i] :
      ( ( c0_1 @ X103 )
      | ( c1_1 @ X103 )
      | ( c2_1 @ X103 )
      | ~ ndr1_0
      | ( c0_1 @ X104 )
      | ( c2_1 @ X104 )
      | ( c3_1 @ X104 )
      | ~ ndr1_0
      | ( c0_1 @ X105 )
      | ( c2_1 @ X105 )
      | ~ ( c1_1 @ X105 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('68',plain,
    ( ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ( c2_1 @ X66 )
        | ( c3_1 @ X66 ) )
    | ! [X64: $i] :
        ( ( c0_1 @ X64 )
        | ( c2_1 @ X64 )
        | ~ ( c1_1 @ X64 ) )
    | ~ ndr1_0
    | ! [X99: $i] :
        ( ( c0_1 @ X99 )
        | ( c1_1 @ X99 )
        | ( c2_1 @ X99 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl75]) ).

thf(zip_derived_cl57,plain,
    ! [X66: $i] :
      ( ( c0_1 @ X66 )
      | ( c2_1 @ X66 )
      | ( c3_1 @ X66 )
      | ~ ndr1_0
      | hskp10
      | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl412,plain,
    ( ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ( c2_1 @ X66 )
        | ( c3_1 @ X66 ) )
   <= ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ( c2_1 @ X66 )
        | ( c3_1 @ X66 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf(zip_derived_cl645_028,plain,
    ( ~ ( c3_1 @ a1650 )
   <= ~ ( c3_1 @ a1650 ) ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf(zip_derived_cl1803,plain,
    ( ( ( c2_1 @ a1650 )
      | ( c0_1 @ a1650 ) )
   <= ( ~ ( c3_1 @ a1650 )
      & ! [X66: $i] :
          ( ( c0_1 @ X66 )
          | ( c2_1 @ X66 )
          | ( c3_1 @ X66 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl412,zip_derived_cl645]) ).

thf('69',plain,
    ( ( c2_1 @ a1650 )
    | ( c3_1 @ a1650 )
    | ~ ! [X66: $i] :
          ( ( c0_1 @ X66 )
          | ( c2_1 @ X66 )
          | ( c3_1 @ X66 ) )
    | ( c0_1 @ a1650 ) ),
    inference(split,[status(esa)],[zip_derived_cl1803]) ).

thf(zip_derived_cl641_029,plain,
    ( ( c1_1 @ a1650 )
   <= ( c1_1 @ a1650 ) ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl376_030,plain,
    ( ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ~ ( c1_1 @ X49 )
        | ~ ( c2_1 @ X49 ) )
   <= ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ~ ( c1_1 @ X49 )
        | ~ ( c2_1 @ X49 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl1580,plain,
    ( ( ( c0_1 @ a1650 )
      | ~ ( c2_1 @ a1650 ) )
   <= ( ! [X49: $i] :
          ( ( c0_1 @ X49 )
          | ~ ( c1_1 @ X49 )
          | ~ ( c2_1 @ X49 ) )
      & ( c1_1 @ a1650 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl641,zip_derived_cl376]) ).

thf('70',plain,
    ( ~ ( c2_1 @ a1650 )
    | ( c0_1 @ a1650 )
    | ~ ! [X49: $i] :
          ( ( c0_1 @ X49 )
          | ~ ( c1_1 @ X49 )
          | ~ ( c2_1 @ X49 ) )
    | ~ ( c1_1 @ a1650 ) ),
    inference(split,[status(esa)],[zip_derived_cl1580]) ).

thf('71',plain,
    ( ( c1_1 @ a1650 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl154,plain,
    ( ~ hskp11
    | ~ ( c0_1 @ a1650 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('72',plain,
    ( ~ ( c0_1 @ a1650 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf('73',plain,
    ( ~ ( c3_1 @ a1650 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf(zip_derived_cl55,plain,
    ! [X62: $i,X63: $i] :
      ( ( c0_1 @ X62 )
      | ( c2_1 @ X62 )
      | ~ ( c3_1 @ X62 )
      | ~ ndr1_0
      | ( c0_1 @ X63 )
      | ~ ( c1_1 @ X63 )
      | ~ ( c3_1 @ X63 )
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('74',plain,
    ( hskp11
    | ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c2_1 @ X58 )
        | ~ ( c3_1 @ X58 ) )
    | ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c3_1 @ X42 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf(zip_derived_cl189,plain,
    ( ~ hskp2
    | ( c1_1 @ a1637 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl713,plain,
    ( ( c1_1 @ a1637 )
   <= ( c1_1 @ a1637 ) ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf(zip_derived_cl409_031,plain,
    ( ! [X64: $i] :
        ( ( c0_1 @ X64 )
        | ( c2_1 @ X64 )
        | ~ ( c1_1 @ X64 ) )
   <= ! [X64: $i] :
        ( ( c0_1 @ X64 )
        | ( c2_1 @ X64 )
        | ~ ( c1_1 @ X64 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl56]) ).

thf(zip_derived_cl1736,plain,
    ( ( ( c0_1 @ a1637 )
      | ( c2_1 @ a1637 ) )
   <= ( ! [X64: $i] :
          ( ( c0_1 @ X64 )
          | ( c2_1 @ X64 )
          | ~ ( c1_1 @ X64 ) )
      & ( c1_1 @ a1637 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl713,zip_derived_cl409]) ).

thf('75',plain,
    ( ~ ! [X64: $i] :
          ( ( c0_1 @ X64 )
          | ( c2_1 @ X64 )
          | ~ ( c1_1 @ X64 ) )
    | ( c2_1 @ a1637 )
    | ( c0_1 @ a1637 )
    | ~ ( c1_1 @ a1637 ) ),
    inference(split,[status(esa)],[zip_derived_cl1736]) ).

thf(zip_derived_cl713_032,plain,
    ( ( c1_1 @ a1637 )
   <= ( c1_1 @ a1637 ) ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf(zip_derived_cl376_033,plain,
    ( ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ~ ( c1_1 @ X49 )
        | ~ ( c2_1 @ X49 ) )
   <= ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ~ ( c1_1 @ X49 )
        | ~ ( c2_1 @ X49 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl1578,plain,
    ( ( ( c0_1 @ a1637 )
      | ~ ( c2_1 @ a1637 ) )
   <= ( ! [X49: $i] :
          ( ( c0_1 @ X49 )
          | ~ ( c1_1 @ X49 )
          | ~ ( c2_1 @ X49 ) )
      & ( c1_1 @ a1637 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl713,zip_derived_cl376]) ).

thf('76',plain,
    ( ~ ! [X49: $i] :
          ( ( c0_1 @ X49 )
          | ~ ( c1_1 @ X49 )
          | ~ ( c2_1 @ X49 ) )
    | ~ ( c2_1 @ a1637 )
    | ~ ( c1_1 @ a1637 )
    | ( c0_1 @ a1637 ) ),
    inference(split,[status(esa)],[zip_derived_cl1578]) ).

thf(zip_derived_cl97,plain,
    ( ~ hskp25
    | ( c1_1 @ a1709 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('77',plain,
    ( ( c1_1 @ a1709 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(zip_derived_cl98,plain,
    ( ~ hskp25
    | ( c2_1 @ a1709 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('78',plain,
    ( ( c2_1 @ a1709 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf(zip_derived_cl99,plain,
    ( ~ hskp25
    | ~ ( c0_1 @ a1709 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('79',plain,
    ( ~ ( c0_1 @ a1709 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl529,plain,
    ( ( c1_1 @ a1709 )
   <= ( c1_1 @ a1709 ) ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(zip_derived_cl376_034,plain,
    ( ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ~ ( c1_1 @ X49 )
        | ~ ( c2_1 @ X49 ) )
   <= ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ~ ( c1_1 @ X49 )
        | ~ ( c2_1 @ X49 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl1586,plain,
    ( ( ( c0_1 @ a1709 )
      | ~ ( c2_1 @ a1709 ) )
   <= ( ! [X49: $i] :
          ( ( c0_1 @ X49 )
          | ~ ( c1_1 @ X49 )
          | ~ ( c2_1 @ X49 ) )
      & ( c1_1 @ a1709 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl529,zip_derived_cl376]) ).

thf('80',plain,
    ( ~ ( c1_1 @ a1709 )
    | ( c0_1 @ a1709 )
    | ~ ! [X49: $i] :
          ( ( c0_1 @ X49 )
          | ~ ( c1_1 @ X49 )
          | ~ ( c2_1 @ X49 ) )
    | ~ ( c2_1 @ a1709 ) ),
    inference(split,[status(esa)],[zip_derived_cl1586]) ).

thf(zip_derived_cl471_035,plain,
    ( ! [X99: $i] :
        ( ( c0_1 @ X99 )
        | ( c1_1 @ X99 )
        | ( c2_1 @ X99 ) )
   <= ! [X99: $i] :
        ( ( c0_1 @ X99 )
        | ( c1_1 @ X99 )
        | ( c2_1 @ X99 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl72]) ).

thf(zip_derived_cl103,plain,
    ( ~ hskp24
    | ~ ( c1_1 @ a1701 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl541,plain,
    ( ~ ( c1_1 @ a1701 )
   <= ~ ( c1_1 @ a1701 ) ),
    inference(split,[status(esa)],[zip_derived_cl103]) ).

thf(zip_derived_cl1947,plain,
    ( ( ( c2_1 @ a1701 )
      | ( c0_1 @ a1701 ) )
   <= ( ~ ( c1_1 @ a1701 )
      & ! [X99: $i] :
          ( ( c0_1 @ X99 )
          | ( c1_1 @ X99 )
          | ( c2_1 @ X99 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl471,zip_derived_cl541]) ).

thf('81',plain,
    ( ~ ! [X99: $i] :
          ( ( c0_1 @ X99 )
          | ( c1_1 @ X99 )
          | ( c2_1 @ X99 ) )
    | ( c2_1 @ a1701 )
    | ( c1_1 @ a1701 )
    | ( c0_1 @ a1701 ) ),
    inference(split,[status(esa)],[zip_derived_cl1947]) ).

thf(zip_derived_cl509_036,plain,
    ( ( c3_1 @ a1646 )
   <= ( c3_1 @ a1646 ) ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl348_037,plain,
    ( ! [X35: $i] :
        ( ( c0_1 @ X35 )
        | ~ ( c2_1 @ X35 )
        | ~ ( c3_1 @ X35 ) )
   <= ! [X35: $i] :
        ( ( c0_1 @ X35 )
        | ~ ( c2_1 @ X35 )
        | ~ ( c3_1 @ X35 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl1494,plain,
    ( ( ( c0_1 @ a1646 )
      | ~ ( c2_1 @ a1646 ) )
   <= ( ! [X35: $i] :
          ( ( c0_1 @ X35 )
          | ~ ( c2_1 @ X35 )
          | ~ ( c3_1 @ X35 ) )
      & ( c3_1 @ a1646 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl509,zip_derived_cl348]) ).

thf('82',plain,
    ( ( c0_1 @ a1646 )
    | ~ ! [X35: $i] :
          ( ( c0_1 @ X35 )
          | ~ ( c2_1 @ X35 )
          | ~ ( c3_1 @ X35 ) )
    | ~ ( c3_1 @ a1646 )
    | ~ ( c2_1 @ a1646 ) ),
    inference(split,[status(esa)],[zip_derived_cl1494]) ).

thf(zip_derived_cl58,plain,
    ! [X67: $i,X68: $i] :
      ( ( c0_1 @ X67 )
      | ( c2_1 @ X67 )
      | ( c3_1 @ X67 )
      | ~ ndr1_0
      | ( c1_1 @ X68 )
      | ( c2_1 @ X68 )
      | ~ ( c0_1 @ X68 )
      | ~ ndr1_0
      | hskp29 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('83',plain,
    ( ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ( c2_1 @ X66 )
        | ( c3_1 @ X66 ) )
    | ! [X34: $i] :
        ( ( c1_1 @ X34 )
        | ( c2_1 @ X34 )
        | ~ ( c0_1 @ X34 ) )
    | hskp29
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf(zip_derived_cl464,plain,
    ( ! [X94: $i] :
        ( ( c0_1 @ X94 )
        | ( c1_1 @ X94 )
        | ( c3_1 @ X94 ) )
   <= ! [X94: $i] :
        ( ( c0_1 @ X94 )
        | ( c1_1 @ X94 )
        | ( c3_1 @ X94 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl70]) ).

thf(zip_derived_cl107,plain,
    ( ~ hskp23
    | ~ ( c3_1 @ a1699 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl549,plain,
    ( ~ ( c3_1 @ a1699 )
   <= ~ ( c3_1 @ a1699 ) ),
    inference(split,[status(esa)],[zip_derived_cl107]) ).

thf(zip_derived_cl1904,plain,
    ( ( ( c1_1 @ a1699 )
      | ( c0_1 @ a1699 ) )
   <= ( ~ ( c3_1 @ a1699 )
      & ! [X94: $i] :
          ( ( c0_1 @ X94 )
          | ( c1_1 @ X94 )
          | ( c3_1 @ X94 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl464,zip_derived_cl549]) ).

thf('84',plain,
    ( ( c0_1 @ a1699 )
    | ( c1_1 @ a1699 )
    | ~ ! [X94: $i] :
          ( ( c0_1 @ X94 )
          | ( c1_1 @ X94 )
          | ( c3_1 @ X94 ) )
    | ( c3_1 @ a1699 ) ),
    inference(split,[status(esa)],[zip_derived_cl1904]) ).

thf(zip_derived_cl105,plain,
    ( ~ hskp23
    | ~ ( c1_1 @ a1699 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('85',plain,
    ( ~ ( c1_1 @ a1699 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl105]) ).

thf(zip_derived_cl106,plain,
    ( ~ hskp23
    | ~ ( c2_1 @ a1699 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('86',plain,
    ( ~ ( c2_1 @ a1699 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf('87',plain,
    ( ~ ( c3_1 @ a1699 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl107]) ).

thf('88',plain,
    ( hskp23
    | ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) )
    | hskp4
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl691_038,plain,
    ( ( c3_1 @ a1640 )
   <= ( c3_1 @ a1640 ) ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl21,plain,
    ! [X6: $i,X7: $i] :
      ( ( c3_1 @ X6 )
      | ~ ( c1_1 @ X6 )
      | ~ ( c2_1 @ X6 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X7 )
      | ~ ( c1_1 @ X7 )
      | ~ ( c3_1 @ X7 )
      | ~ ndr1_0
      | hskp22 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl268,plain,
    ( ! [X7: $i] :
        ( ~ ( c0_1 @ X7 )
        | ~ ( c1_1 @ X7 )
        | ~ ( c3_1 @ X7 ) )
   <= ! [X7: $i] :
        ( ~ ( c0_1 @ X7 )
        | ~ ( c1_1 @ X7 )
        | ~ ( c3_1 @ X7 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl1385,plain,
    ( ( ~ ( c0_1 @ a1640 )
      | ~ ( c1_1 @ a1640 ) )
   <= ( ! [X7: $i] :
          ( ~ ( c0_1 @ X7 )
          | ~ ( c1_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
      & ( c3_1 @ a1640 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl691,zip_derived_cl268]) ).

thf('89',plain,
    ( ~ ( c0_1 @ a1640 )
    | ~ ! [X7: $i] :
          ( ~ ( c0_1 @ X7 )
          | ~ ( c1_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
    | ~ ( c3_1 @ a1640 )
    | ~ ( c1_1 @ a1640 ) ),
    inference(split,[status(esa)],[zip_derived_cl1385]) ).

thf(zip_derived_cl691_039,plain,
    ( ( c3_1 @ a1640 )
   <= ( c3_1 @ a1640 ) ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl284,plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c1_1 @ X13 )
        | ~ ( c3_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c1_1 @ X13 )
        | ~ ( c3_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl1386,plain,
    ( ( ( c2_1 @ a1640 )
      | ~ ( c1_1 @ a1640 ) )
   <= ( ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c1_1 @ X13 )
          | ~ ( c3_1 @ X13 ) )
      & ( c3_1 @ a1640 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl691,zip_derived_cl284]) ).

thf('90',plain,
    ( ~ ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c1_1 @ X13 )
          | ~ ( c3_1 @ X13 ) )
    | ~ ( c3_1 @ a1640 )
    | ~ ( c1_1 @ a1640 )
    | ( c2_1 @ a1640 ) ),
    inference(split,[status(esa)],[zip_derived_cl1386]) ).

thf(zip_derived_cl691_040,plain,
    ( ( c3_1 @ a1640 )
   <= ( c3_1 @ a1640 ) ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl312_041,plain,
    ( ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ~ ( c0_1 @ X21 )
        | ~ ( c3_1 @ X21 ) )
   <= ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ~ ( c0_1 @ X21 )
        | ~ ( c3_1 @ X21 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl1389,plain,
    ( ( ( c1_1 @ a1640 )
      | ~ ( c0_1 @ a1640 ) )
   <= ( ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c3_1 @ X21 ) )
      & ( c3_1 @ a1640 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl691,zip_derived_cl312]) ).

thf('91',plain,
    ( ( c1_1 @ a1640 )
    | ~ ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c3_1 @ X21 ) )
    | ~ ( c3_1 @ a1640 )
    | ~ ( c0_1 @ a1640 ) ),
    inference(split,[status(esa)],[zip_derived_cl1389]) ).

thf('92',plain,
    ( hskp9
    | hskp29
    | ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ~ ( c0_1 @ X21 )
        | ~ ( c3_1 @ X21 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl193,plain,
    ( ~ hskp1
    | ~ ( c0_1 @ a1636 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('93',plain,
    ( ~ ( c0_1 @ a1636 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl193]) ).

thf(zip_derived_cl194,plain,
    ( ~ hskp1
    | ~ ( c1_1 @ a1636 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('94',plain,
    ( ~ ( c1_1 @ a1636 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl194]) ).

thf(zip_derived_cl195,plain,
    ( ~ hskp1
    | ~ ( c2_1 @ a1636 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('95',plain,
    ( ~ ( c2_1 @ a1636 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl195]) ).

thf('96',plain,
    ( hskp1
    | ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ( c2_1 @ X66 )
        | ( c3_1 @ X66 ) )
    | hskp10
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf('97',plain,
    ( ( c0_1 @ a1648 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl158,plain,
    ( ~ hskp10
    | ( c2_1 @ a1648 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('98',plain,
    ( ( c2_1 @ a1648 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf('99',plain,
    ( ~ ( c3_1 @ a1648 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl23,plain,
    ! [X10: $i] :
      ( ( c3_1 @ X10 )
      | ~ ( c0_1 @ X10 )
      | ~ ( c2_1 @ X10 )
      | ~ ndr1_0
      | hskp8
      | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl276,plain,
    ( ! [X10: $i] :
        ( ( c3_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c2_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ( c3_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c2_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl653_042,plain,
    ( ~ ( c3_1 @ a1648 )
   <= ~ ( c3_1 @ a1648 ) ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl875,plain,
    ( ( ~ ( c2_1 @ a1648 )
      | ~ ( c0_1 @ a1648 ) )
   <= ( ~ ( c3_1 @ a1648 )
      & ! [X10: $i] :
          ( ( c3_1 @ X10 )
          | ~ ( c0_1 @ X10 )
          | ~ ( c2_1 @ X10 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl276,zip_derived_cl653]) ).

thf('100',plain,
    ( ~ ! [X10: $i] :
          ( ( c3_1 @ X10 )
          | ~ ( c0_1 @ X10 )
          | ~ ( c2_1 @ X10 ) )
    | ~ ( c0_1 @ a1648 )
    | ( c3_1 @ a1648 )
    | ~ ( c2_1 @ a1648 ) ),
    inference(split,[status(esa)],[zip_derived_cl875]) ).

thf(zip_derived_cl59,plain,
    ! [X69: $i,X70: $i,X71: $i] :
      ( ( c0_1 @ X69 )
      | ( c2_1 @ X69 )
      | ( c3_1 @ X69 )
      | ~ ndr1_0
      | ( c0_1 @ X70 )
      | ~ ( c1_1 @ X70 )
      | ~ ( c2_1 @ X70 )
      | ~ ndr1_0
      | ( c3_1 @ X71 )
      | ~ ( c0_1 @ X71 )
      | ~ ( c2_1 @ X71 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('101',plain,
    ( ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ( c2_1 @ X66 )
        | ( c3_1 @ X66 ) )
    | ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ~ ( c1_1 @ X49 )
        | ~ ( c2_1 @ X49 ) )
    | ! [X10: $i] :
        ( ( c3_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c2_1 @ X10 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl74,plain,
    ! [X101: $i,X102: $i] :
      ( ( c0_1 @ X101 )
      | ( c1_1 @ X101 )
      | ( c2_1 @ X101 )
      | ~ ndr1_0
      | ( c2_1 @ X102 )
      | ( c3_1 @ X102 )
      | ~ ( c0_1 @ X102 )
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('102',plain,
    ( hskp0
    | ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ( c3_1 @ X15 )
        | ~ ( c0_1 @ X15 ) )
    | ! [X99: $i] :
        ( ( c0_1 @ X99 )
        | ( c1_1 @ X99 )
        | ( c2_1 @ X99 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl74]) ).

thf(zip_derived_cl412_043,plain,
    ( ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ( c2_1 @ X66 )
        | ( c3_1 @ X66 ) )
   <= ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ( c2_1 @ X66 )
        | ( c3_1 @ X66 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf(zip_derived_cl111,plain,
    ( ~ hskp22
    | ~ ( c3_1 @ a1697 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl557,plain,
    ( ~ ( c3_1 @ a1697 )
   <= ~ ( c3_1 @ a1697 ) ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl1807,plain,
    ( ( ( c2_1 @ a1697 )
      | ( c0_1 @ a1697 ) )
   <= ( ~ ( c3_1 @ a1697 )
      & ! [X66: $i] :
          ( ( c0_1 @ X66 )
          | ( c2_1 @ X66 )
          | ( c3_1 @ X66 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl412,zip_derived_cl557]) ).

thf('103',plain,
    ( ( c0_1 @ a1697 )
    | ( c2_1 @ a1697 )
    | ~ ! [X66: $i] :
          ( ( c0_1 @ X66 )
          | ( c2_1 @ X66 )
          | ( c3_1 @ X66 ) )
    | ( c3_1 @ a1697 ) ),
    inference(split,[status(esa)],[zip_derived_cl1807]) ).

thf(zip_derived_cl197,plain,
    ( ~ hskp0
    | ( c0_1 @ a1634 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('104',plain,
    ( ( c0_1 @ a1634 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl197]) ).

thf(zip_derived_cl198,plain,
    ( ~ hskp0
    | ( c3_1 @ a1634 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('105',plain,
    ( ( c3_1 @ a1634 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl198]) ).

thf(zip_derived_cl199,plain,
    ( ~ hskp0
    | ~ ( c1_1 @ a1634 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('106',plain,
    ( ~ ( c1_1 @ a1634 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl199]) ).

thf(zip_derived_cl731,plain,
    ( ( c3_1 @ a1634 )
   <= ( c3_1 @ a1634 ) ),
    inference(split,[status(esa)],[zip_derived_cl198]) ).

thf(zip_derived_cl312_044,plain,
    ( ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ~ ( c0_1 @ X21 )
        | ~ ( c3_1 @ X21 ) )
   <= ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ~ ( c0_1 @ X21 )
        | ~ ( c3_1 @ X21 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl1472,plain,
    ( ( ( c1_1 @ a1634 )
      | ~ ( c0_1 @ a1634 ) )
   <= ( ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c3_1 @ X21 ) )
      & ( c3_1 @ a1634 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl731,zip_derived_cl312]) ).

thf('107',plain,
    ( ~ ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c3_1 @ X21 ) )
    | ~ ( c3_1 @ a1634 )
    | ( c1_1 @ a1634 )
    | ~ ( c0_1 @ a1634 ) ),
    inference(split,[status(esa)],[zip_derived_cl1472]) ).

thf(zip_derived_cl109,plain,
    ( ~ hskp22
    | ~ ( c0_1 @ a1697 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('108',plain,
    ( ~ hskp22
    | ~ ( c0_1 @ a1697 ) ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf(zip_derived_cl110,plain,
    ( ~ hskp22
    | ~ ( c2_1 @ a1697 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('109',plain,
    ( ~ hskp22
    | ~ ( c2_1 @ a1697 ) ),
    inference(split,[status(esa)],[zip_derived_cl110]) ).

thf('110',plain,
    ( ~ hskp22
    | ~ ( c3_1 @ a1697 ) ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf('111',plain,
    ( hskp22
    | ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) )
    | ~ ndr1_0
    | ! [X7: $i] :
        ( ~ ( c0_1 @ X7 )
        | ~ ( c1_1 @ X7 )
        | ~ ( c3_1 @ X7 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl50,plain,
    ! [X51: $i,X52: $i] :
      ( ( c0_1 @ X51 )
      | ~ ( c1_1 @ X51 )
      | ~ ( c2_1 @ X51 )
      | ~ ndr1_0
      | ( c2_1 @ X52 )
      | ~ ( c1_1 @ X52 )
      | ~ ( c3_1 @ X52 )
      | ~ ndr1_0
      | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('112',plain,
    ( hskp7
    | ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c1_1 @ X13 )
        | ~ ( c3_1 @ X13 ) )
    | ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ~ ( c1_1 @ X49 )
        | ~ ( c2_1 @ X49 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl83,plain,
    ( ~ hskp29
    | ( c3_1 @ a1647 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl501,plain,
    ( ( c3_1 @ a1647 )
   <= ( c3_1 @ a1647 ) ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl284_045,plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c1_1 @ X13 )
        | ~ ( c3_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ~ ( c1_1 @ X13 )
        | ~ ( c3_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl1210,plain,
    ( ( ( c2_1 @ a1647 )
      | ~ ( c1_1 @ a1647 ) )
   <= ( ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c1_1 @ X13 )
          | ~ ( c3_1 @ X13 ) )
      & ( c3_1 @ a1647 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl501,zip_derived_cl284]) ).

thf('113',plain,
    ( ~ ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ~ ( c1_1 @ X13 )
          | ~ ( c3_1 @ X13 ) )
    | ( c2_1 @ a1647 )
    | ~ ( c3_1 @ a1647 )
    | ~ ( c1_1 @ a1647 ) ),
    inference(split,[status(esa)],[zip_derived_cl1210]) ).

thf(zip_derived_cl471_046,plain,
    ( ! [X99: $i] :
        ( ( c0_1 @ X99 )
        | ( c1_1 @ X99 )
        | ( c2_1 @ X99 ) )
   <= ! [X99: $i] :
        ( ( c0_1 @ X99 )
        | ( c1_1 @ X99 )
        | ( c2_1 @ X99 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl72]) ).

thf(zip_derived_cl723,plain,
    ( ~ ( c1_1 @ a1636 )
   <= ~ ( c1_1 @ a1636 ) ),
    inference(split,[status(esa)],[zip_derived_cl194]) ).

thf(zip_derived_cl1930,plain,
    ( ( ( c2_1 @ a1636 )
      | ( c0_1 @ a1636 ) )
   <= ( ~ ( c1_1 @ a1636 )
      & ! [X99: $i] :
          ( ( c0_1 @ X99 )
          | ( c1_1 @ X99 )
          | ( c2_1 @ X99 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl471,zip_derived_cl723]) ).

thf('114',plain,
    ( ~ ! [X99: $i] :
          ( ( c0_1 @ X99 )
          | ( c1_1 @ X99 )
          | ( c2_1 @ X99 ) )
    | ( c0_1 @ a1636 )
    | ( c1_1 @ a1636 )
    | ( c2_1 @ a1636 ) ),
    inference(split,[status(esa)],[zip_derived_cl1930]) ).

thf('115',plain,
    ( ~ ( c1_1 @ a1641 )
    | ( c3_1 @ a1641 )
    | ~ ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
    | ~ ( c2_1 @ a1641 ) ),
    inference(split,[status(esa)],[zip_derived_cl794]) ).

thf(zip_derived_cl1,plain,
    ( hskp19
    | hskp21
    | hskp6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('116',plain,
    ( hskp6
    | hskp21
    | hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl123,plain,
    ( ~ hskp19
    | ~ ( c3_1 @ a1682 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('117',plain,
    ( ~ hskp19
    | ~ ( c3_1 @ a1682 ) ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl264_047,plain,
    ( ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl581,plain,
    ( ~ ( c3_1 @ a1682 )
   <= ~ ( c3_1 @ a1682 ) ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl802,plain,
    ( ( ~ ( c2_1 @ a1682 )
      | ~ ( c1_1 @ a1682 ) )
   <= ( ~ ( c3_1 @ a1682 )
      & ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl264,zip_derived_cl581]) ).

thf('118',plain,
    ( ~ ( c2_1 @ a1682 )
    | ( c3_1 @ a1682 )
    | ~ ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
    | ~ ( c1_1 @ a1682 ) ),
    inference(split,[status(esa)],[zip_derived_cl802]) ).

thf(zip_derived_cl113,plain,
    ( ~ hskp21
    | ( c2_1 @ a1691 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('119',plain,
    ( ( c2_1 @ a1691 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl113]) ).

thf('120',plain,
    ( ( c3_1 @ a1691 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl114]) ).

thf('121',plain,
    ( ~ ( c1_1 @ a1691 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl115]) ).

thf(zip_derived_cl563_048,plain,
    ( ( c3_1 @ a1691 )
   <= ( c3_1 @ a1691 ) ),
    inference(split,[status(esa)],[zip_derived_cl114]) ).

thf(zip_derived_cl304_049,plain,
    ( ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ~ ( c2_1 @ X18 )
        | ~ ( c3_1 @ X18 ) )
   <= ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ~ ( c2_1 @ X18 )
        | ~ ( c3_1 @ X18 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl1259,plain,
    ( ( ( c1_1 @ a1691 )
      | ~ ( c2_1 @ a1691 ) )
   <= ( ! [X18: $i] :
          ( ( c1_1 @ X18 )
          | ~ ( c2_1 @ X18 )
          | ~ ( c3_1 @ X18 ) )
      & ( c3_1 @ a1691 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl563,zip_derived_cl304]) ).

thf('122',plain,
    ( ~ ! [X18: $i] :
          ( ( c1_1 @ X18 )
          | ~ ( c2_1 @ X18 )
          | ~ ( c3_1 @ X18 ) )
    | ~ ( c3_1 @ a1691 )
    | ( c1_1 @ a1691 )
    | ~ ( c2_1 @ a1691 ) ),
    inference(split,[status(esa)],[zip_derived_cl1259]) ).

thf('123',plain,
    ( ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c2_1 @ X5 ) )
    | ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ~ ( c0_1 @ X21 )
        | ~ ( c3_1 @ X21 ) )
    | ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c3_1 @ X42 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl69,plain,
    ! [X91: $i,X92: $i,X93: $i] :
      ( ( c0_1 @ X91 )
      | ( c1_1 @ X91 )
      | ~ ( c2_1 @ X91 )
      | ~ ndr1_0
      | ( c1_1 @ X92 )
      | ( c2_1 @ X92 )
      | ~ ( c0_1 @ X92 )
      | ~ ndr1_0
      | ( c1_1 @ X93 )
      | ~ ( c2_1 @ X93 )
      | ~ ( c3_1 @ X93 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('124',plain,
    ( ! [X34: $i] :
        ( ( c1_1 @ X34 )
        | ( c2_1 @ X34 )
        | ~ ( c0_1 @ X34 ) )
    | ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ~ ( c2_1 @ X18 )
        | ~ ( c3_1 @ X18 ) )
    | ~ ndr1_0
    | ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c1_1 @ X86 )
        | ~ ( c2_1 @ X86 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl69]) ).

thf(zip_derived_cl181,plain,
    ( ~ hskp4
    | ( c3_1 @ a1639 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl697,plain,
    ( ( c3_1 @ a1639 )
   <= ( c3_1 @ a1639 ) ),
    inference(split,[status(esa)],[zip_derived_cl181]) ).

thf(zip_derived_cl312_050,plain,
    ( ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ~ ( c0_1 @ X21 )
        | ~ ( c3_1 @ X21 ) )
   <= ! [X21: $i] :
        ( ( c1_1 @ X21 )
        | ~ ( c0_1 @ X21 )
        | ~ ( c3_1 @ X21 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl1397,plain,
    ( ( ( c1_1 @ a1639 )
      | ~ ( c0_1 @ a1639 ) )
   <= ( ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c3_1 @ X21 ) )
      & ( c3_1 @ a1639 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl697,zip_derived_cl312]) ).

thf('125',plain,
    ( ~ ! [X21: $i] :
          ( ( c1_1 @ X21 )
          | ~ ( c0_1 @ X21 )
          | ~ ( c3_1 @ X21 ) )
    | ~ ( c0_1 @ a1639 )
    | ( c1_1 @ a1639 )
    | ~ ( c3_1 @ a1639 ) ),
    inference(split,[status(esa)],[zip_derived_cl1397]) ).

thf(zip_derived_cl344_051,plain,
    ( ! [X34: $i] :
        ( ( c1_1 @ X34 )
        | ( c2_1 @ X34 )
        | ~ ( c0_1 @ X34 ) )
   <= ! [X34: $i] :
        ( ( c1_1 @ X34 )
        | ( c2_1 @ X34 )
        | ~ ( c0_1 @ X34 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl699_052,plain,
    ( ~ ( c1_1 @ a1639 )
   <= ~ ( c1_1 @ a1639 ) ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf(zip_derived_cl1426,plain,
    ( ( ~ ( c0_1 @ a1639 )
      | ( c2_1 @ a1639 ) )
   <= ( ~ ( c1_1 @ a1639 )
      & ! [X34: $i] :
          ( ( c1_1 @ X34 )
          | ( c2_1 @ X34 )
          | ~ ( c0_1 @ X34 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl344,zip_derived_cl699]) ).

thf('126',plain,
    ( ~ ( c0_1 @ a1639 )
    | ( c1_1 @ a1639 )
    | ~ ! [X34: $i] :
          ( ( c1_1 @ X34 )
          | ( c2_1 @ X34 )
          | ~ ( c0_1 @ X34 ) )
    | ( c2_1 @ a1639 ) ),
    inference(split,[status(esa)],[zip_derived_cl1426]) ).

thf(zip_derived_cl697_053,plain,
    ( ( c3_1 @ a1639 )
   <= ( c3_1 @ a1639 ) ),
    inference(split,[status(esa)],[zip_derived_cl181]) ).

thf(zip_derived_cl428_054,plain,
    ( ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c1_1 @ X75 )
        | ~ ( c3_1 @ X75 ) )
   <= ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c1_1 @ X75 )
        | ~ ( c3_1 @ X75 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(zip_derived_cl1769,plain,
    ( ( ( c0_1 @ a1639 )
      | ( c1_1 @ a1639 ) )
   <= ( ! [X75: $i] :
          ( ( c0_1 @ X75 )
          | ( c1_1 @ X75 )
          | ~ ( c3_1 @ X75 ) )
      & ( c3_1 @ a1639 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl697,zip_derived_cl428]) ).

thf('127',plain,
    ( ( c0_1 @ a1639 )
    | ( c1_1 @ a1639 )
    | ~ ! [X75: $i] :
          ( ( c0_1 @ X75 )
          | ( c1_1 @ X75 )
          | ~ ( c3_1 @ X75 ) )
    | ~ ( c3_1 @ a1639 ) ),
    inference(split,[status(esa)],[zip_derived_cl1769]) ).

thf(zip_derived_cl129,plain,
    ( ~ hskp17
    | ( c2_1 @ a1675 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('128',plain,
    ( ( c2_1 @ a1675 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf(zip_derived_cl130,plain,
    ( ~ hskp17
    | ~ ( c0_1 @ a1675 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('129',plain,
    ( ~ ( c0_1 @ a1675 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(zip_derived_cl131,plain,
    ( ~ hskp17
    | ~ ( c1_1 @ a1675 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('130',plain,
    ( ~ ( c1_1 @ a1675 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf(zip_derived_cl447_055,plain,
    ( ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c1_1 @ X86 )
        | ~ ( c2_1 @ X86 ) )
   <= ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c1_1 @ X86 )
        | ~ ( c2_1 @ X86 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf(zip_derived_cl597,plain,
    ( ~ ( c1_1 @ a1675 )
   <= ~ ( c1_1 @ a1675 ) ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf(zip_derived_cl1849,plain,
    ( ( ~ ( c2_1 @ a1675 )
      | ( c0_1 @ a1675 ) )
   <= ( ~ ( c1_1 @ a1675 )
      & ! [X86: $i] :
          ( ( c0_1 @ X86 )
          | ( c1_1 @ X86 )
          | ~ ( c2_1 @ X86 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl447,zip_derived_cl597]) ).

thf('131',plain,
    ( ~ ! [X86: $i] :
          ( ( c0_1 @ X86 )
          | ( c1_1 @ X86 )
          | ~ ( c2_1 @ X86 ) )
    | ( c0_1 @ a1675 )
    | ( c1_1 @ a1675 )
    | ~ ( c2_1 @ a1675 ) ),
    inference(split,[status(esa)],[zip_derived_cl1849]) ).

thf('132',plain,
    ( hskp17
    | ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ~ ( c0_1 @ X14 )
        | ~ ( c3_1 @ X14 ) )
    | ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c2_1 @ X23 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl344_056,plain,
    ( ! [X34: $i] :
        ( ( c1_1 @ X34 )
        | ( c2_1 @ X34 )
        | ~ ( c0_1 @ X34 ) )
   <= ! [X34: $i] :
        ( ( c1_1 @ X34 )
        | ( c2_1 @ X34 )
        | ~ ( c0_1 @ X34 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl545,plain,
    ( ~ ( c1_1 @ a1699 )
   <= ~ ( c1_1 @ a1699 ) ),
    inference(split,[status(esa)],[zip_derived_cl105]) ).

thf(zip_derived_cl1441,plain,
    ( ( ~ ( c0_1 @ a1699 )
      | ( c2_1 @ a1699 ) )
   <= ( ~ ( c1_1 @ a1699 )
      & ! [X34: $i] :
          ( ( c1_1 @ X34 )
          | ( c2_1 @ X34 )
          | ~ ( c0_1 @ X34 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl344,zip_derived_cl545]) ).

thf('133',plain,
    ( ~ ( c0_1 @ a1699 )
    | ( c1_1 @ a1699 )
    | ~ ! [X34: $i] :
          ( ( c1_1 @ X34 )
          | ( c2_1 @ X34 )
          | ~ ( c0_1 @ X34 ) )
    | ( c2_1 @ a1699 ) ),
    inference(split,[status(esa)],[zip_derived_cl1441]) ).

thf(zip_derived_cl29,plain,
    ! [X17: $i] :
      ( ( c2_1 @ X17 )
      | ( c3_1 @ X17 )
      | ~ ( c0_1 @ X17 )
      | ~ ndr1_0
      | hskp27
      | hskp6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('134',plain,
    ( hskp27
    | hskp6
    | ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ( c3_1 @ X15 )
        | ~ ( c0_1 @ X15 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl3,plain,
    ( hskp7
    | hskp6
    | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('135',plain,
    ( hskp7
    | hskp6
    | hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl464_057,plain,
    ( ! [X94: $i] :
        ( ( c0_1 @ X94 )
        | ( c1_1 @ X94 )
        | ( c3_1 @ X94 ) )
   <= ! [X94: $i] :
        ( ( c0_1 @ X94 )
        | ( c1_1 @ X94 )
        | ( c3_1 @ X94 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl70]) ).

thf(zip_derived_cl685_058,plain,
    ( ~ ( c3_1 @ a1641 )
   <= ~ ( c3_1 @ a1641 ) ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl1894,plain,
    ( ( ( c1_1 @ a1641 )
      | ( c0_1 @ a1641 ) )
   <= ( ~ ( c3_1 @ a1641 )
      & ! [X94: $i] :
          ( ( c0_1 @ X94 )
          | ( c1_1 @ X94 )
          | ( c3_1 @ X94 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl464,zip_derived_cl685]) ).

thf('136',plain,
    ( ( c1_1 @ a1641 )
    | ( c3_1 @ a1641 )
    | ~ ! [X94: $i] :
          ( ( c0_1 @ X94 )
          | ( c1_1 @ X94 )
          | ( c3_1 @ X94 ) )
    | ( c0_1 @ a1641 ) ),
    inference(split,[status(esa)],[zip_derived_cl1894]) ).

thf(zip_derived_cl173,plain,
    ( ~ hskp6
    | ( c2_1 @ a1641 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('137',plain,
    ( ( c2_1 @ a1641 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl173]) ).

thf(zip_derived_cl174,plain,
    ( ~ hskp6
    | ~ ( c0_1 @ a1641 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('138',plain,
    ( ~ ( c0_1 @ a1641 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf('139',plain,
    ( ~ ( c3_1 @ a1641 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl36,plain,
    ! [X27: $i] :
      ( ( c1_1 @ X27 )
      | ( c3_1 @ X27 )
      | ~ ( c2_1 @ X27 )
      | ~ ndr1_0
      | hskp2
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl328,plain,
    ( ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ( c3_1 @ X27 )
        | ~ ( c2_1 @ X27 ) )
   <= ! [X27: $i] :
        ( ( c1_1 @ X27 )
        | ( c3_1 @ X27 )
        | ~ ( c2_1 @ X27 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl685_059,plain,
    ( ~ ( c3_1 @ a1641 )
   <= ~ ( c3_1 @ a1641 ) ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl1271,plain,
    ( ( ~ ( c2_1 @ a1641 )
      | ( c1_1 @ a1641 ) )
   <= ( ~ ( c3_1 @ a1641 )
      & ! [X27: $i] :
          ( ( c1_1 @ X27 )
          | ( c3_1 @ X27 )
          | ~ ( c2_1 @ X27 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl328,zip_derived_cl685]) ).

thf(zip_derived_cl3779,plain,
    ( ( c1_1 @ a1641 )
   <= ( c1_1 @ a1641 ) ),
    inference(split,[status(esa)],[zip_derived_cl1271]) ).

thf(zip_derived_cl376_060,plain,
    ( ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ~ ( c1_1 @ X49 )
        | ~ ( c2_1 @ X49 ) )
   <= ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ~ ( c1_1 @ X49 )
        | ~ ( c2_1 @ X49 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl3795,plain,
    ( ( ( c0_1 @ a1641 )
      | ~ ( c2_1 @ a1641 ) )
   <= ( ! [X49: $i] :
          ( ( c0_1 @ X49 )
          | ~ ( c1_1 @ X49 )
          | ~ ( c2_1 @ X49 ) )
      & ( c1_1 @ a1641 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3779,zip_derived_cl376]) ).

thf('140',plain,
    ( ~ ( c1_1 @ a1641 )
    | ( c0_1 @ a1641 )
    | ~ ! [X49: $i] :
          ( ( c0_1 @ X49 )
          | ~ ( c1_1 @ X49 )
          | ~ ( c2_1 @ X49 ) )
    | ~ ( c2_1 @ a1641 ) ),
    inference(split,[status(esa)],[zip_derived_cl3795]) ).

thf(zip_derived_cl161,plain,
    ( ~ hskp9
    | ~ ( c0_1 @ a1644 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('141',plain,
    ( ~ ( c0_1 @ a1644 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl162,plain,
    ( ~ hskp9
    | ~ ( c1_1 @ a1644 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('142',plain,
    ( ~ ( c1_1 @ a1644 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf(zip_derived_cl163,plain,
    ( ~ hskp9
    | ~ ( c3_1 @ a1644 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('143',plain,
    ( ~ ( c3_1 @ a1644 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl464_061,plain,
    ( ! [X94: $i] :
        ( ( c0_1 @ X94 )
        | ( c1_1 @ X94 )
        | ( c3_1 @ X94 ) )
   <= ! [X94: $i] :
        ( ( c0_1 @ X94 )
        | ( c1_1 @ X94 )
        | ( c3_1 @ X94 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl70]) ).

thf(zip_derived_cl661,plain,
    ( ~ ( c3_1 @ a1644 )
   <= ~ ( c3_1 @ a1644 ) ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl1897,plain,
    ( ( ( c1_1 @ a1644 )
      | ( c0_1 @ a1644 ) )
   <= ( ~ ( c3_1 @ a1644 )
      & ! [X94: $i] :
          ( ( c0_1 @ X94 )
          | ( c1_1 @ X94 )
          | ( c3_1 @ X94 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl464,zip_derived_cl661]) ).

thf('144',plain,
    ( ( c0_1 @ a1644 )
    | ( c1_1 @ a1644 )
    | ~ ! [X94: $i] :
          ( ( c0_1 @ X94 )
          | ( c1_1 @ X94 )
          | ( c3_1 @ X94 ) )
    | ( c3_1 @ a1644 ) ),
    inference(split,[status(esa)],[zip_derived_cl1897]) ).

thf(zip_derived_cl169,plain,
    ( ~ hskp7
    | ( c0_1 @ a1642 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('145',plain,
    ( ( c0_1 @ a1642 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl169]) ).

thf(zip_derived_cl170,plain,
    ( ~ hskp7
    | ~ ( c2_1 @ a1642 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('146',plain,
    ( ~ ( c2_1 @ a1642 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf('147',plain,
    ( ~ ( c3_1 @ a1642 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl171]) ).

thf(zip_derived_cl292_062,plain,
    ( ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ( c3_1 @ X15 )
        | ~ ( c0_1 @ X15 ) )
   <= ! [X15: $i] :
        ( ( c2_1 @ X15 )
        | ( c3_1 @ X15 )
        | ~ ( c0_1 @ X15 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl677_063,plain,
    ( ~ ( c3_1 @ a1642 )
   <= ~ ( c3_1 @ a1642 ) ),
    inference(split,[status(esa)],[zip_derived_cl171]) ).

thf(zip_derived_cl996,plain,
    ( ( ~ ( c0_1 @ a1642 )
      | ( c2_1 @ a1642 ) )
   <= ( ~ ( c3_1 @ a1642 )
      & ! [X15: $i] :
          ( ( c2_1 @ X15 )
          | ( c3_1 @ X15 )
          | ~ ( c0_1 @ X15 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl292,zip_derived_cl677]) ).

thf('148',plain,
    ( ~ ! [X15: $i] :
          ( ( c2_1 @ X15 )
          | ( c3_1 @ X15 )
          | ~ ( c0_1 @ X15 ) )
    | ( c2_1 @ a1642 )
    | ( c3_1 @ a1642 )
    | ~ ( c0_1 @ a1642 ) ),
    inference(split,[status(esa)],[zip_derived_cl996]) ).

thf(zip_derived_cl121,plain,
    ( ~ hskp19
    | ( c1_1 @ a1682 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl577,plain,
    ( ( c1_1 @ a1682 )
   <= ( c1_1 @ a1682 ) ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl376_064,plain,
    ( ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ~ ( c1_1 @ X49 )
        | ~ ( c2_1 @ X49 ) )
   <= ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ~ ( c1_1 @ X49 )
        | ~ ( c2_1 @ X49 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl1584,plain,
    ( ( ( c0_1 @ a1682 )
      | ~ ( c2_1 @ a1682 ) )
   <= ( ! [X49: $i] :
          ( ( c0_1 @ X49 )
          | ~ ( c1_1 @ X49 )
          | ~ ( c2_1 @ X49 ) )
      & ( c1_1 @ a1682 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl577,zip_derived_cl376]) ).

thf('149',plain,
    ( ( c0_1 @ a1682 )
    | ~ ( c2_1 @ a1682 )
    | ~ ! [X49: $i] :
          ( ( c0_1 @ X49 )
          | ~ ( c1_1 @ X49 )
          | ~ ( c2_1 @ X49 ) )
    | ~ ( c1_1 @ a1682 ) ),
    inference(split,[status(esa)],[zip_derived_cl1584]) ).

thf('150',plain,
    ( ( c1_1 @ a1682 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl122,plain,
    ( ~ hskp19
    | ( c2_1 @ a1682 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('151',plain,
    ( ~ hskp19
    | ( c2_1 @ a1682 ) ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl577_065,plain,
    ( ( c1_1 @ a1682 )
   <= ( c1_1 @ a1682 ) ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl252_066,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_cl17]) ).

thf(zip_derived_cl1306,plain,
    ( ( ~ ( c0_1 @ a1682 )
      | ~ ( c2_1 @ a1682 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ( c1_1 @ a1682 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl577,zip_derived_cl252]) ).

thf('152',plain,
    ( ~ ( c2_1 @ a1682 )
    | ~ ( c0_1 @ a1682 )
    | ~ ( c1_1 @ a1682 )
    | ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl1306]) ).

thf(zip_derived_cl49,plain,
    ! [X50: $i] :
      ( ( c0_1 @ X50 )
      | ~ ( c1_1 @ X50 )
      | ~ ( c2_1 @ X50 )
      | ~ ndr1_0
      | hskp29
      | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('153',plain,
    ( hskp5
    | ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ~ ( c1_1 @ X49 )
        | ~ ( c2_1 @ X49 ) )
    | hskp29
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl177,plain,
    ( ~ hskp5
    | ( c0_1 @ a1640 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('154',plain,
    ( ( c0_1 @ a1640 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf('155',plain,
    ( ( c3_1 @ a1640 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl691_067,plain,
    ( ( c3_1 @ a1640 )
   <= ( c3_1 @ a1640 ) ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl288_068,plain,
    ( ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ~ ( c0_1 @ X14 )
        | ~ ( c3_1 @ X14 ) )
   <= ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ~ ( c0_1 @ X14 )
        | ~ ( c3_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl1387,plain,
    ( ( ( c2_1 @ a1640 )
      | ~ ( c0_1 @ a1640 ) )
   <= ( ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ~ ( c0_1 @ X14 )
          | ~ ( c3_1 @ X14 ) )
      & ( c3_1 @ a1640 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl691,zip_derived_cl288]) ).

thf('156',plain,
    ( ~ ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ~ ( c0_1 @ X14 )
          | ~ ( c3_1 @ X14 ) )
    | ~ ( c3_1 @ a1640 )
    | ( c2_1 @ a1640 )
    | ~ ( c0_1 @ a1640 ) ),
    inference(split,[status(esa)],[zip_derived_cl1387]) ).

thf(zip_derived_cl86,plain,
    ( ~ hskp28
    | ( c2_1 @ a1646 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('157',plain,
    ( ( c2_1 @ a1646 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf(zip_derived_cl505_069,plain,
    ( ( c1_1 @ a1646 )
   <= ( c1_1 @ a1646 ) ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf(zip_derived_cl252_070,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_cl17]) ).

thf(zip_derived_cl1217,plain,
    ( ( ~ ( c0_1 @ a1646 )
      | ~ ( c2_1 @ a1646 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ( c1_1 @ a1646 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl505,zip_derived_cl252]) ).

thf('158',plain,
    ( ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
    | ~ ( c0_1 @ a1646 )
    | ~ ( c2_1 @ a1646 )
    | ~ ( c1_1 @ a1646 ) ),
    inference(split,[status(esa)],[zip_derived_cl1217]) ).

thf('159',plain,
    ( ( c1_1 @ a1646 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf('160',plain,
    ( ( c3_1 @ a1646 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf('161',plain,
    ( hskp28
    | ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ~ ( c2_1 @ X18 )
        | ~ ( c3_1 @ X18 ) )
    | hskp19
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl493_071,plain,
    ( ( c3_1 @ a1712 )
   <= ( c3_1 @ a1712 ) ),
    inference(split,[status(esa)],[zip_derived_cl79]) ).

thf(zip_derived_cl304_072,plain,
    ( ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ~ ( c2_1 @ X18 )
        | ~ ( c3_1 @ X18 ) )
   <= ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ~ ( c2_1 @ X18 )
        | ~ ( c3_1 @ X18 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl1150,plain,
    ( ( ( c1_1 @ a1712 )
      | ~ ( c2_1 @ a1712 ) )
   <= ( ! [X18: $i] :
          ( ( c1_1 @ X18 )
          | ~ ( c2_1 @ X18 )
          | ~ ( c3_1 @ X18 ) )
      & ( c3_1 @ a1712 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl493,zip_derived_cl304]) ).

thf('162',plain,
    ( ~ ! [X18: $i] :
          ( ( c1_1 @ X18 )
          | ~ ( c2_1 @ X18 )
          | ~ ( c3_1 @ X18 ) )
    | ( c1_1 @ a1712 )
    | ~ ( c3_1 @ a1712 )
    | ~ ( c2_1 @ a1712 ) ),
    inference(split,[status(esa)],[zip_derived_cl1150]) ).

thf(zip_derived_cl77,plain,
    ( ~ hskp30
    | ( c0_1 @ a1712 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('163',plain,
    ( ( c0_1 @ a1712 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl77]) ).

thf(zip_derived_cl78,plain,
    ( ~ hskp30
    | ( c2_1 @ a1712 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('164',plain,
    ( ( c2_1 @ a1712 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl78]) ).

thf('165',plain,
    ( ( c3_1 @ a1712 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl79]) ).

thf(zip_derived_cl3162,plain,
    ( ( c1_1 @ a1712 )
   <= ( c1_1 @ a1712 ) ),
    inference(split,[status(esa)],[zip_derived_cl1150]) ).

thf(zip_derived_cl252_073,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_cl17]) ).

thf(zip_derived_cl3176,plain,
    ( ( ~ ( c0_1 @ a1712 )
      | ~ ( c2_1 @ a1712 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ( c1_1 @ a1712 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3162,zip_derived_cl252]) ).

thf('166',plain,
    ( ~ ( c1_1 @ a1712 )
    | ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
    | ~ ( c0_1 @ a1712 )
    | ~ ( c2_1 @ a1712 ) ),
    inference(split,[status(esa)],[zip_derived_cl3176]) ).

thf(zip_derived_cl14,plain,
    ( hskp27
    | hskp20
    | hskp30 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('167',plain,
    ( hskp30
    | hskp27
    | hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl117,plain,
    ( ~ hskp20
    | ( c0_1 @ a1689 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('168',plain,
    ( ( c0_1 @ a1689 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl117]) ).

thf(zip_derived_cl118,plain,
    ( ~ hskp20
    | ( c1_1 @ a1689 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('169',plain,
    ( ( c1_1 @ a1689 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl118]) ).

thf(zip_derived_cl119,plain,
    ( ~ hskp20
    | ~ ( c2_1 @ a1689 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('170',plain,
    ( ~ ( c2_1 @ a1689 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl119]) ).

thf(zip_derived_cl571,plain,
    ( ( c1_1 @ a1689 )
   <= ( c1_1 @ a1689 ) ),
    inference(split,[status(esa)],[zip_derived_cl118]) ).

thf(zip_derived_cl463_074,plain,
    ( ! [X95: $i] :
        ( ( c2_1 @ X95 )
        | ~ ( c0_1 @ X95 )
        | ~ ( c1_1 @ X95 ) )
   <= ! [X95: $i] :
        ( ( c2_1 @ X95 )
        | ~ ( c0_1 @ X95 )
        | ~ ( c1_1 @ X95 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl70]) ).

thf(zip_derived_cl1645,plain,
    ( ( ( c2_1 @ a1689 )
      | ~ ( c0_1 @ a1689 ) )
   <= ( ! [X95: $i] :
          ( ( c2_1 @ X95 )
          | ~ ( c0_1 @ X95 )
          | ~ ( c1_1 @ X95 ) )
      & ( c1_1 @ a1689 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl571,zip_derived_cl463]) ).

thf('171',plain,
    ( ~ ( c0_1 @ a1689 )
    | ~ ( c1_1 @ a1689 )
    | ~ ! [X95: $i] :
          ( ( c2_1 @ X95 )
          | ~ ( c0_1 @ X95 )
          | ~ ( c1_1 @ X95 ) )
    | ( c2_1 @ a1689 ) ),
    inference(split,[status(esa)],[zip_derived_cl1645]) ).

thf(zip_derived_cl697_075,plain,
    ( ( c3_1 @ a1639 )
   <= ( c3_1 @ a1639 ) ),
    inference(split,[status(esa)],[zip_derived_cl181]) ).

thf(zip_derived_cl397_076,plain,
    ( ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c2_1 @ X58 )
        | ~ ( c3_1 @ X58 ) )
   <= ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c2_1 @ X58 )
        | ~ ( c3_1 @ X58 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(zip_derived_cl1715,plain,
    ( ( ( c0_1 @ a1639 )
      | ( c2_1 @ a1639 ) )
   <= ( ! [X58: $i] :
          ( ( c0_1 @ X58 )
          | ( c2_1 @ X58 )
          | ~ ( c3_1 @ X58 ) )
      & ( c3_1 @ a1639 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl697,zip_derived_cl397]) ).

thf('172',plain,
    ( ( c0_1 @ a1639 )
    | ( c2_1 @ a1639 )
    | ~ ! [X58: $i] :
          ( ( c0_1 @ X58 )
          | ( c2_1 @ X58 )
          | ~ ( c3_1 @ X58 ) )
    | ~ ( c3_1 @ a1639 ) ),
    inference(split,[status(esa)],[zip_derived_cl1715]) ).

thf(zip_derived_cl697_077,plain,
    ( ( c3_1 @ a1639 )
   <= ( c3_1 @ a1639 ) ),
    inference(split,[status(esa)],[zip_derived_cl181]) ).

thf(zip_derived_cl288_078,plain,
    ( ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ~ ( c0_1 @ X14 )
        | ~ ( c3_1 @ X14 ) )
   <= ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ~ ( c0_1 @ X14 )
        | ~ ( c3_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl1395,plain,
    ( ( ( c2_1 @ a1639 )
      | ~ ( c0_1 @ a1639 ) )
   <= ( ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ~ ( c0_1 @ X14 )
          | ~ ( c3_1 @ X14 ) )
      & ( c3_1 @ a1639 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl697,zip_derived_cl288]) ).

thf('173',plain,
    ( ~ ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ~ ( c0_1 @ X14 )
          | ~ ( c3_1 @ X14 ) )
    | ~ ( c0_1 @ a1639 )
    | ~ ( c3_1 @ a1639 )
    | ( c2_1 @ a1639 ) ),
    inference(split,[status(esa)],[zip_derived_cl1395]) ).

thf(zip_derived_cl54,plain,
    ! [X60: $i,X61: $i] :
      ( ( c0_1 @ X60 )
      | ( c2_1 @ X60 )
      | ~ ( c3_1 @ X60 )
      | ~ ndr1_0
      | ( c1_1 @ X61 )
      | ~ ( c0_1 @ X61 )
      | ~ ( c2_1 @ X61 )
      | ~ ndr1_0
      | hskp29 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('174',plain,
    ( ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c2_1 @ X58 )
        | ~ ( c3_1 @ X58 ) )
    | hskp29
    | ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c2_1 @ X23 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf(zip_derived_cl82,plain,
    ( ~ hskp29
    | ( c1_1 @ a1647 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl499,plain,
    ( ( c1_1 @ a1647 )
   <= ( c1_1 @ a1647 ) ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl252_079,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_cl17]) ).

thf(zip_derived_cl1155,plain,
    ( ( ~ ( c0_1 @ a1647 )
      | ~ ( c2_1 @ a1647 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ( c1_1 @ a1647 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl499,zip_derived_cl252]) ).

thf('175',plain,
    ( ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
    | ~ ( c2_1 @ a1647 )
    | ~ ( c1_1 @ a1647 )
    | ~ ( c0_1 @ a1647 ) ),
    inference(split,[status(esa)],[zip_derived_cl1155]) ).

thf(zip_derived_cl501_080,plain,
    ( ( c3_1 @ a1647 )
   <= ( c3_1 @ a1647 ) ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl288_081,plain,
    ( ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ~ ( c0_1 @ X14 )
        | ~ ( c3_1 @ X14 ) )
   <= ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ~ ( c0_1 @ X14 )
        | ~ ( c3_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl1211,plain,
    ( ( ( c2_1 @ a1647 )
      | ~ ( c0_1 @ a1647 ) )
   <= ( ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ~ ( c0_1 @ X14 )
          | ~ ( c3_1 @ X14 ) )
      & ( c3_1 @ a1647 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl501,zip_derived_cl288]) ).

thf('176',plain,
    ( ( c2_1 @ a1647 )
    | ~ ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ~ ( c0_1 @ X14 )
          | ~ ( c3_1 @ X14 ) )
    | ~ ( c3_1 @ a1647 )
    | ~ ( c0_1 @ a1647 ) ),
    inference(split,[status(esa)],[zip_derived_cl1211]) ).

thf(zip_derived_cl35,plain,
    ! [X25: $i,X26: $i] :
      ( ( c1_1 @ X25 )
      | ~ ( c0_1 @ X25 )
      | ~ ( c2_1 @ X25 )
      | ~ ndr1_0
      | ( c2_1 @ X26 )
      | ~ ( c0_1 @ X26 )
      | ~ ( c3_1 @ X26 )
      | ~ ndr1_0
      | hskp2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('177',plain,
    ( hskp2
    | ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ~ ( c0_1 @ X14 )
        | ~ ( c3_1 @ X14 ) )
    | ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c2_1 @ X23 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf('178',plain,
    ( ( c1_1 @ a1637 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf(zip_derived_cl190,plain,
    ( ~ hskp2
    | ( c3_1 @ a1637 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('179',plain,
    ( ( c3_1 @ a1637 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl190]) ).

thf(zip_derived_cl191,plain,
    ( ~ hskp2
    | ~ ( c0_1 @ a1637 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('180',plain,
    ( ~ ( c0_1 @ a1637 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl191]) ).

thf(zip_derived_cl715,plain,
    ( ( c3_1 @ a1637 )
   <= ( c3_1 @ a1637 ) ),
    inference(split,[status(esa)],[zip_derived_cl190]) ).

thf(zip_derived_cl366_082,plain,
    ( ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c3_1 @ X42 ) )
   <= ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c3_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl1559,plain,
    ( ( ( c0_1 @ a1637 )
      | ~ ( c1_1 @ a1637 ) )
   <= ( ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ~ ( c1_1 @ X42 )
          | ~ ( c3_1 @ X42 ) )
      & ( c3_1 @ a1637 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl715,zip_derived_cl366]) ).

thf('181',plain,
    ( ~ ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ~ ( c1_1 @ X42 )
          | ~ ( c3_1 @ X42 ) )
    | ~ ( c3_1 @ a1637 )
    | ( c0_1 @ a1637 )
    | ~ ( c1_1 @ a1637 ) ),
    inference(split,[status(esa)],[zip_derived_cl1559]) ).

thf(zip_derived_cl509_083,plain,
    ( ( c3_1 @ a1646 )
   <= ( c3_1 @ a1646 ) ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl366_084,plain,
    ( ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c3_1 @ X42 ) )
   <= ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c3_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl1567,plain,
    ( ( ( c0_1 @ a1646 )
      | ~ ( c1_1 @ a1646 ) )
   <= ( ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ~ ( c1_1 @ X42 )
          | ~ ( c3_1 @ X42 ) )
      & ( c3_1 @ a1646 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl509,zip_derived_cl366]) ).

thf('182',plain,
    ( ( c0_1 @ a1646 )
    | ~ ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ~ ( c1_1 @ X42 )
          | ~ ( c3_1 @ X42 ) )
    | ~ ( c1_1 @ a1646 )
    | ~ ( c3_1 @ a1646 ) ),
    inference(split,[status(esa)],[zip_derived_cl1567]) ).

thf(zip_derived_cl12,plain,
    ( hskp20
    | hskp14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('183',plain,
    ( hskp14
    | hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl447_085,plain,
    ( ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c1_1 @ X86 )
        | ~ ( c2_1 @ X86 ) )
   <= ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c1_1 @ X86 )
        | ~ ( c2_1 @ X86 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf(zip_derived_cl565_086,plain,
    ( ~ ( c1_1 @ a1691 )
   <= ~ ( c1_1 @ a1691 ) ),
    inference(split,[status(esa)],[zip_derived_cl115]) ).

thf(zip_derived_cl1851,plain,
    ( ( ~ ( c2_1 @ a1691 )
      | ( c0_1 @ a1691 ) )
   <= ( ~ ( c1_1 @ a1691 )
      & ! [X86: $i] :
          ( ( c0_1 @ X86 )
          | ( c1_1 @ X86 )
          | ~ ( c2_1 @ X86 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl447,zip_derived_cl565]) ).

thf('184',plain,
    ( ( c0_1 @ a1691 )
    | ~ ! [X86: $i] :
          ( ( c0_1 @ X86 )
          | ( c1_1 @ X86 )
          | ~ ( c2_1 @ X86 ) )
    | ( c1_1 @ a1691 )
    | ~ ( c2_1 @ a1691 ) ),
    inference(split,[status(esa)],[zip_derived_cl1851]) ).

thf(zip_derived_cl133,plain,
    ( ~ hskp16
    | ( c0_1 @ a1667 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('185',plain,
    ( ( c0_1 @ a1667 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf(zip_derived_cl134,plain,
    ( ~ hskp16
    | ( c2_1 @ a1667 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('186',plain,
    ( ( c2_1 @ a1667 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl135,plain,
    ( ~ hskp16
    | ~ ( c1_1 @ a1667 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('187',plain,
    ( ~ ( c1_1 @ a1667 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl135]) ).

thf(zip_derived_cl321_087,plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c2_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c2_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl605,plain,
    ( ~ ( c1_1 @ a1667 )
   <= ~ ( c1_1 @ a1667 ) ),
    inference(split,[status(esa)],[zip_derived_cl135]) ).

thf(zip_derived_cl1175,plain,
    ( ( ~ ( c2_1 @ a1667 )
      | ~ ( c0_1 @ a1667 ) )
   <= ( ~ ( c1_1 @ a1667 )
      & ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c2_1 @ X23 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl321,zip_derived_cl605]) ).

thf('188',plain,
    ( ~ ( c2_1 @ a1667 )
    | ( c1_1 @ a1667 )
    | ~ ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c2_1 @ X23 ) )
    | ~ ( c0_1 @ a1667 ) ),
    inference(split,[status(esa)],[zip_derived_cl1175]) ).

thf('189',plain,
    ( ( c3_1 @ a1701 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf(zip_derived_cl102,plain,
    ( ~ hskp24
    | ~ ( c0_1 @ a1701 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('190',plain,
    ( ~ ( c0_1 @ a1701 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl102]) ).

thf('191',plain,
    ( ~ ( c1_1 @ a1701 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl103]) ).

thf(zip_derived_cl537_088,plain,
    ( ( c3_1 @ a1701 )
   <= ( c3_1 @ a1701 ) ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf(zip_derived_cl428_089,plain,
    ( ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c1_1 @ X75 )
        | ~ ( c3_1 @ X75 ) )
   <= ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c1_1 @ X75 )
        | ~ ( c3_1 @ X75 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(zip_derived_cl1773,plain,
    ( ( ( c0_1 @ a1701 )
      | ( c1_1 @ a1701 ) )
   <= ( ! [X75: $i] :
          ( ( c0_1 @ X75 )
          | ( c1_1 @ X75 )
          | ~ ( c3_1 @ X75 ) )
      & ( c3_1 @ a1701 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl537,zip_derived_cl428]) ).

thf('192',plain,
    ( ~ ( c3_1 @ a1701 )
    | ( c0_1 @ a1701 )
    | ~ ! [X75: $i] :
          ( ( c0_1 @ X75 )
          | ( c1_1 @ X75 )
          | ~ ( c3_1 @ X75 ) )
    | ( c1_1 @ a1701 ) ),
    inference(split,[status(esa)],[zip_derived_cl1773]) ).

thf(zip_derived_cl168,plain,
    ( ~ hskp7
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('193',plain,
    ( ndr1_0
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl168]) ).

thf(zip_derived_cl164,plain,
    ( ~ hskp8
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('194',plain,
    ( ~ hskp8
    | ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl164]) ).

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

thf('195',plain,
    ( ndr1_0
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl196]) ).

thf(zip_derived_cl6,plain,
    ( hskp0
    | hskp7
    | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('196',plain,
    ( hskp8
    | hskp7
    | hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl65,plain,
    ! [X84: $i,X85: $i] :
      ( ( c0_1 @ X84 )
      | ( c1_1 @ X84 )
      | ~ ( c3_1 @ X84 )
      | ~ ndr1_0
      | ( c0_1 @ X85 )
      | ~ ( c1_1 @ X85 )
      | ~ ( c2_1 @ X85 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('197',plain,
    ( ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c1_1 @ X75 )
        | ~ ( c3_1 @ X75 ) )
    | ! [X49: $i] :
        ( ( c0_1 @ X49 )
        | ~ ( c1_1 @ X49 )
        | ~ ( c2_1 @ X49 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl65]) ).

thf(zip_derived_cl81,plain,
    ( ~ hskp29
    | ( c0_1 @ a1647 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('198',plain,
    ( ( c0_1 @ a1647 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf('199',plain,
    ( ( c1_1 @ a1647 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf('200',plain,
    ( ( c3_1 @ a1647 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl501_090,plain,
    ( ( c3_1 @ a1647 )
   <= ( c3_1 @ a1647 ) ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl268_091,plain,
    ( ! [X7: $i] :
        ( ~ ( c0_1 @ X7 )
        | ~ ( c1_1 @ X7 )
        | ~ ( c3_1 @ X7 ) )
   <= ! [X7: $i] :
        ( ~ ( c0_1 @ X7 )
        | ~ ( c1_1 @ X7 )
        | ~ ( c3_1 @ X7 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl1209,plain,
    ( ( ~ ( c0_1 @ a1647 )
      | ~ ( c1_1 @ a1647 ) )
   <= ( ! [X7: $i] :
          ( ~ ( c0_1 @ X7 )
          | ~ ( c1_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
      & ( c3_1 @ a1647 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl501,zip_derived_cl268]) ).

thf('201',plain,
    ( ~ ! [X7: $i] :
          ( ~ ( c0_1 @ X7 )
          | ~ ( c1_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
    | ~ ( c0_1 @ a1647 )
    | ~ ( c3_1 @ a1647 )
    | ~ ( c1_1 @ a1647 ) ),
    inference(split,[status(esa)],[zip_derived_cl1209]) ).

thf(zip_derived_cl38,plain,
    ! [X29: $i,X30: $i,X31: $i] :
      ( ( c1_1 @ X29 )
      | ( c2_1 @ X29 )
      | ~ ( c3_1 @ X29 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X30 )
      | ~ ( c1_1 @ X30 )
      | ~ ( c2_1 @ X30 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X31 )
      | ~ ( c1_1 @ X31 )
      | ~ ( c3_1 @ X31 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('202',plain,
    ( ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ( c2_1 @ X28 )
        | ~ ( c3_1 @ X28 ) )
    | ! [X7: $i] :
        ( ~ ( c0_1 @ X7 )
        | ~ ( c1_1 @ X7 )
        | ~ ( c3_1 @ X7 ) )
    | ~ ndr1_0
    | ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf('203',plain,
    ( ( c3_1 @ a1639 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl181]) ).

thf('204',plain,
    ( ~ ( c1_1 @ a1639 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf(zip_derived_cl183,plain,
    ( ~ hskp4
    | ~ ( c2_1 @ a1639 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('205',plain,
    ( ~ ( c2_1 @ a1639 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl183]) ).

thf(zip_derived_cl697_092,plain,
    ( ( c3_1 @ a1639 )
   <= ( c3_1 @ a1639 ) ),
    inference(split,[status(esa)],[zip_derived_cl181]) ).

thf(zip_derived_cl332_093,plain,
    ( ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ( c2_1 @ X28 )
        | ~ ( c3_1 @ X28 ) )
   <= ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ( c2_1 @ X28 )
        | ~ ( c3_1 @ X28 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl1398,plain,
    ( ( ( c1_1 @ a1639 )
      | ( c2_1 @ a1639 ) )
   <= ( ! [X28: $i] :
          ( ( c1_1 @ X28 )
          | ( c2_1 @ X28 )
          | ~ ( c3_1 @ X28 ) )
      & ( c3_1 @ a1639 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl697,zip_derived_cl332]) ).

thf('206',plain,
    ( ~ ( c3_1 @ a1639 )
    | ( c1_1 @ a1639 )
    | ~ ! [X28: $i] :
          ( ( c1_1 @ X28 )
          | ( c2_1 @ X28 )
          | ~ ( c3_1 @ X28 ) )
    | ( c2_1 @ a1639 ) ),
    inference(split,[status(esa)],[zip_derived_cl1398]) ).

thf('207',plain,
    ( ! [X95: $i] :
        ( ( c2_1 @ X95 )
        | ~ ( c0_1 @ X95 )
        | ~ ( c1_1 @ X95 ) )
    | hskp4
    | ~ ndr1_0
    | ! [X94: $i] :
        ( ( c0_1 @ X94 )
        | ( c1_1 @ X94 )
        | ( c3_1 @ X94 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl70]) ).

thf(zip_derived_cl499_094,plain,
    ( ( c1_1 @ a1647 )
   <= ( c1_1 @ a1647 ) ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl463_095,plain,
    ( ! [X95: $i] :
        ( ( c2_1 @ X95 )
        | ~ ( c0_1 @ X95 )
        | ~ ( c1_1 @ X95 ) )
   <= ! [X95: $i] :
        ( ( c2_1 @ X95 )
        | ~ ( c0_1 @ X95 )
        | ~ ( c1_1 @ X95 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl70]) ).

thf(zip_derived_cl1649,plain,
    ( ( ( c2_1 @ a1647 )
      | ~ ( c0_1 @ a1647 ) )
   <= ( ! [X95: $i] :
          ( ( c2_1 @ X95 )
          | ~ ( c0_1 @ X95 )
          | ~ ( c1_1 @ X95 ) )
      & ( c1_1 @ a1647 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl499,zip_derived_cl463]) ).

thf('208',plain,
    ( ( c2_1 @ a1647 )
    | ~ ! [X95: $i] :
          ( ( c2_1 @ X95 )
          | ~ ( c0_1 @ X95 )
          | ~ ( c1_1 @ X95 ) )
    | ~ ( c1_1 @ a1647 )
    | ~ ( c0_1 @ a1647 ) ),
    inference(split,[status(esa)],[zip_derived_cl1649]) ).

thf(zip_derived_cl501_096,plain,
    ( ( c3_1 @ a1647 )
   <= ( c3_1 @ a1647 ) ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl440_097,plain,
    ( ! [X83: $i] :
        ( ~ ( c0_1 @ X83 )
        | ~ ( c2_1 @ X83 )
        | ~ ( c3_1 @ X83 ) )
   <= ! [X83: $i] :
        ( ~ ( c0_1 @ X83 )
        | ~ ( c2_1 @ X83 )
        | ~ ( c3_1 @ X83 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl64]) ).

thf(zip_derived_cl1214,plain,
    ( ( ~ ( c0_1 @ a1647 )
      | ~ ( c2_1 @ a1647 ) )
   <= ( ! [X83: $i] :
          ( ~ ( c0_1 @ X83 )
          | ~ ( c2_1 @ X83 )
          | ~ ( c3_1 @ X83 ) )
      & ( c3_1 @ a1647 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl501,zip_derived_cl440]) ).

thf('209',plain,
    ( ~ ! [X83: $i] :
          ( ~ ( c0_1 @ X83 )
          | ~ ( c2_1 @ X83 )
          | ~ ( c3_1 @ X83 ) )
    | ~ ( c2_1 @ a1647 )
    | ~ ( c0_1 @ a1647 )
    | ~ ( c3_1 @ a1647 ) ),
    inference(split,[status(esa)],[zip_derived_cl1214]) ).

thf(zip_derived_cl68,plain,
    ! [X88: $i,X89: $i,X90: $i] :
      ( ( c0_1 @ X88 )
      | ( c1_1 @ X88 )
      | ~ ( c2_1 @ X88 )
      | ~ ndr1_0
      | ( c3_1 @ X89 )
      | ~ ( c0_1 @ X89 )
      | ~ ( c1_1 @ X89 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X90 )
      | ~ ( c2_1 @ X90 )
      | ~ ( c3_1 @ X90 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('210',plain,
    ( ! [X11: $i] :
        ( ( c3_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c1_1 @ X11 ) )
    | ! [X83: $i] :
        ( ~ ( c0_1 @ X83 )
        | ~ ( c2_1 @ X83 )
        | ~ ( c3_1 @ X83 ) )
    | ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c1_1 @ X86 )
        | ~ ( c2_1 @ X86 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl68]) ).

thf(zip_derived_cl149,plain,
    ( ~ hskp12
    | ( c0_1 @ a1653 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('211',plain,
    ( ( c0_1 @ a1653 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf('212',plain,
    ( ( c1_1 @ a1653 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf('213',plain,
    ( ~ ( c3_1 @ a1653 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl281_098,plain,
    ( ! [X11: $i] :
        ( ( c3_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c1_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c3_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c1_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl637_099,plain,
    ( ~ ( c3_1 @ a1653 )
   <= ~ ( c3_1 @ a1653 ) ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl923,plain,
    ( ( ~ ( c1_1 @ a1653 )
      | ~ ( c0_1 @ a1653 ) )
   <= ( ~ ( c3_1 @ a1653 )
      & ! [X11: $i] :
          ( ( c3_1 @ X11 )
          | ~ ( c0_1 @ X11 )
          | ~ ( c1_1 @ X11 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl281,zip_derived_cl637]) ).

thf('214',plain,
    ( ~ ( c1_1 @ a1653 )
    | ( c3_1 @ a1653 )
    | ~ ! [X11: $i] :
          ( ( c3_1 @ X11 )
          | ~ ( c0_1 @ X11 )
          | ~ ( c1_1 @ X11 ) )
    | ~ ( c0_1 @ a1653 ) ),
    inference(split,[status(esa)],[zip_derived_cl923]) ).

thf('215',plain,
    ( ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c2_1 @ X58 )
        | ~ ( c3_1 @ X58 ) )
    | hskp12
    | ~ ndr1_0
    | ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ~ ( c2_1 @ X18 )
        | ~ ( c3_1 @ X18 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(zip_derived_cl715_100,plain,
    ( ( c3_1 @ a1637 )
   <= ( c3_1 @ a1637 ) ),
    inference(split,[status(esa)],[zip_derived_cl190]) ).

thf(zip_derived_cl397_101,plain,
    ( ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c2_1 @ X58 )
        | ~ ( c3_1 @ X58 ) )
   <= ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c2_1 @ X58 )
        | ~ ( c3_1 @ X58 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(zip_derived_cl1713,plain,
    ( ( ( c0_1 @ a1637 )
      | ( c2_1 @ a1637 ) )
   <= ( ! [X58: $i] :
          ( ( c0_1 @ X58 )
          | ( c2_1 @ X58 )
          | ~ ( c3_1 @ X58 ) )
      & ( c3_1 @ a1637 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl715,zip_derived_cl397]) ).

thf('216',plain,
    ( ( c2_1 @ a1637 )
    | ~ ! [X58: $i] :
          ( ( c0_1 @ X58 )
          | ( c2_1 @ X58 )
          | ~ ( c3_1 @ X58 ) )
    | ( c0_1 @ a1637 )
    | ~ ( c3_1 @ a1637 ) ),
    inference(split,[status(esa)],[zip_derived_cl1713]) ).

thf(zip_derived_cl715_102,plain,
    ( ( c3_1 @ a1637 )
   <= ( c3_1 @ a1637 ) ),
    inference(split,[status(esa)],[zip_derived_cl190]) ).

thf(zip_derived_cl348_103,plain,
    ( ! [X35: $i] :
        ( ( c0_1 @ X35 )
        | ~ ( c2_1 @ X35 )
        | ~ ( c3_1 @ X35 ) )
   <= ! [X35: $i] :
        ( ( c0_1 @ X35 )
        | ~ ( c2_1 @ X35 )
        | ~ ( c3_1 @ X35 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl1486,plain,
    ( ( ( c0_1 @ a1637 )
      | ~ ( c2_1 @ a1637 ) )
   <= ( ! [X35: $i] :
          ( ( c0_1 @ X35 )
          | ~ ( c2_1 @ X35 )
          | ~ ( c3_1 @ X35 ) )
      & ( c3_1 @ a1637 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl715,zip_derived_cl348]) ).

thf('217',plain,
    ( ~ ! [X35: $i] :
          ( ( c0_1 @ X35 )
          | ~ ( c2_1 @ X35 )
          | ~ ( c3_1 @ X35 ) )
    | ~ ( c2_1 @ a1637 )
    | ~ ( c3_1 @ a1637 )
    | ( c0_1 @ a1637 ) ),
    inference(split,[status(esa)],[zip_derived_cl1486]) ).

thf(zip_derived_cl43,plain,
    ! [X38: $i,X39: $i] :
      ( ( c0_1 @ X38 )
      | ~ ( c2_1 @ X38 )
      | ~ ( c3_1 @ X38 )
      | ~ ndr1_0
      | ( c1_1 @ X39 )
      | ~ ( c2_1 @ X39 )
      | ~ ( c3_1 @ X39 )
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('218',plain,
    ( hskp5
    | ! [X35: $i] :
        ( ( c0_1 @ X35 )
        | ~ ( c2_1 @ X35 )
        | ~ ( c3_1 @ X35 ) )
    | ~ ndr1_0
    | ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ~ ( c2_1 @ X18 )
        | ~ ( c3_1 @ X18 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl179,plain,
    ( ~ hskp5
    | ~ ( c2_1 @ a1640 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('219',plain,
    ( ~ ( c2_1 @ a1640 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl179]) ).

thf(zip_derived_cl691_104,plain,
    ( ( c3_1 @ a1640 )
   <= ( c3_1 @ a1640 ) ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl244_105,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_cl15]) ).

thf(zip_derived_cl1384,plain,
    ( ( ~ ( c1_1 @ a1640 )
      | ~ ( c2_1 @ a1640 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c3_1 @ a1640 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl691,zip_derived_cl244]) ).

thf(zip_derived_cl2900,plain,
    ( ~ ( c1_1 @ a1640 )
   <= ~ ( c1_1 @ a1640 ) ),
    inference(split,[status(esa)],[zip_derived_cl1384]) ).

thf(zip_derived_cl344_106,plain,
    ( ! [X34: $i] :
        ( ( c1_1 @ X34 )
        | ( c2_1 @ X34 )
        | ~ ( c0_1 @ X34 ) )
   <= ! [X34: $i] :
        ( ( c1_1 @ X34 )
        | ( c2_1 @ X34 )
        | ~ ( c0_1 @ X34 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl2906,plain,
    ( ( ( c2_1 @ a1640 )
      | ~ ( c0_1 @ a1640 ) )
   <= ( ~ ( c1_1 @ a1640 )
      & ! [X34: $i] :
          ( ( c1_1 @ X34 )
          | ( c2_1 @ X34 )
          | ~ ( c0_1 @ X34 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2900,zip_derived_cl344]) ).

thf('220',plain,
    ( ( c1_1 @ a1640 )
    | ( c2_1 @ a1640 )
    | ~ ! [X34: $i] :
          ( ( c1_1 @ X34 )
          | ( c2_1 @ X34 )
          | ~ ( c0_1 @ X34 ) )
    | ~ ( c0_1 @ a1640 ) ),
    inference(split,[status(esa)],[zip_derived_cl2906]) ).

thf(zip_derived_cl691_107,plain,
    ( ( c3_1 @ a1640 )
   <= ( c3_1 @ a1640 ) ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl304_108,plain,
    ( ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ~ ( c2_1 @ X18 )
        | ~ ( c3_1 @ X18 ) )
   <= ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ~ ( c2_1 @ X18 )
        | ~ ( c3_1 @ X18 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl1388,plain,
    ( ( ( c1_1 @ a1640 )
      | ~ ( c2_1 @ a1640 ) )
   <= ( ! [X18: $i] :
          ( ( c1_1 @ X18 )
          | ~ ( c2_1 @ X18 )
          | ~ ( c3_1 @ X18 ) )
      & ( c3_1 @ a1640 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl691,zip_derived_cl304]) ).

thf(zip_derived_cl4554,plain,
    ( ( c1_1 @ a1640 )
   <= ( c1_1 @ a1640 ) ),
    inference(split,[status(esa)],[zip_derived_cl1388]) ).

thf(zip_derived_cl463_109,plain,
    ( ! [X95: $i] :
        ( ( c2_1 @ X95 )
        | ~ ( c0_1 @ X95 )
        | ~ ( c1_1 @ X95 ) )
   <= ! [X95: $i] :
        ( ( c2_1 @ X95 )
        | ~ ( c0_1 @ X95 )
        | ~ ( c1_1 @ X95 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl70]) ).

thf(zip_derived_cl4576,plain,
    ( ( ( c2_1 @ a1640 )
      | ~ ( c0_1 @ a1640 ) )
   <= ( ! [X95: $i] :
          ( ( c2_1 @ X95 )
          | ~ ( c0_1 @ X95 )
          | ~ ( c1_1 @ X95 ) )
      & ( c1_1 @ a1640 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4554,zip_derived_cl463]) ).

thf('221',plain,
    ( ~ ( c1_1 @ a1640 )
    | ~ ( c0_1 @ a1640 )
    | ~ ! [X95: $i] :
          ( ( c2_1 @ X95 )
          | ~ ( c0_1 @ X95 )
          | ~ ( c1_1 @ X95 ) )
    | ( c2_1 @ a1640 ) ),
    inference(split,[status(esa)],[zip_derived_cl4576]) ).

thf(zip_derived_cl7252,plain,
    $false,
    inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6','7','8','9','10','11','12','13','14','15','16','17','18','19','20','21','22','23','24','25','26','27','28','29','30','31','32','33','34','35','36','37','38','39','40','41','42','43','44','45','46','47','48','49','50','51','52','53','54','55','56','57','58','59','60','61','62','63','64','65','66','67','68','69','70','71','72','73','74','75','76','77','78','79','80','81','82','83','84','85','86','87','88','89','90','91','92','93','94','95','96','97','98','99','100','101','102','103','104','105','106','107','108','109','110','111','112','113','114','115','116','117','118','119','120','121','122','123','124','125','126','127','128','129','130','131','132','133','134','135','136','137','138','139','140','141','142','143','144','145','146','147','148','149','150','151','152','153','154','155','156','157','158','159','160','161','162','163','164','165','166','167','168','169','170','171','172','173','174','175','176','177','178','179','180','181','182','183','184','185','186','187','188','189','190','191','192','193','194','195','196','197','198','199','200','201','202','203','204','205','206','207','208','209','210','211','212','213','214','215','216','217','218','219','220','221']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN481+1 : TPTP v8.1.2. Released v2.1.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.k4YxKX5PK8 true
% 0.14/0.34  % Computer : n024.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Sat Aug 26 18:06:54 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.20/0.62  % Total configuration time : 435
% 0.20/0.62  % Estimated wc time : 1092
% 0.20/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.52/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.52/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.52/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.52/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.52/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 6.32/1.53  % Solved by fo/fo1_av.sh.
% 6.32/1.53  % done 2102 iterations in 0.746s
% 6.32/1.53  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 6.32/1.53  % SZS output start Refutation
% See solution above
% 6.32/1.54  
% 6.32/1.54  
% 6.32/1.54  % Terminating...
% 6.94/1.63  % Runner terminated.
% 6.94/1.65  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------