TSTP Solution File: SYN457+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN457+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.4YMj2ut2Q7 true

% Computer : n029.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 04:03:40 EDT 2023

% Result   : Theorem 46.81s 7.37s
% Output   : Refutation 47.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :  158
% Syntax   : Number of formulae    :  816 (   1 unt; 157 typ;   0 def)
%            Number of atoms       : 4501 (   0 equ;   0 cnn)
%            Maximal formula atoms :  827 (   6 avg)
%            Number of connectives : 9614 (2371   ~;2564   |; 835   &;3401   @)
%                                         (   0 <=>; 178  =>; 265  <=;   0 <~>)
%            Maximal formula depth :  145 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  158 ( 157 usr; 154 con; 0-1 aty)
%            Number of variables   :  691 (   0   ^; 691   !;   0   ?; 691   :)

% Comments : 
%------------------------------------------------------------------------------
thf(a1665_type,type,
    a1665: $i ).

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

thf(hskp32_type,type,
    hskp32: $o ).

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

thf(hskp60_type,type,
    hskp60: $o ).

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

thf(hskp38_type,type,
    hskp38: $o ).

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

thf(hskp71_type,type,
    hskp71: $o ).

thf(a1676_type,type,
    a1676: $i ).

thf(a1698_type,type,
    a1698: $i ).

thf(hskp54_type,type,
    hskp54: $o ).

thf(hskp69_type,type,
    hskp69: $o ).

thf(hskp35_type,type,
    hskp35: $o ).

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

thf(hskp44_type,type,
    hskp44: $o ).

thf(hskp68_type,type,
    hskp68: $o ).

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

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

thf(hskp48_type,type,
    hskp48: $o ).

thf(a1685_type,type,
    a1685: $i ).

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

thf(a1694_type,type,
    a1694: $i ).

thf(a1677_type,type,
    a1677: $i ).

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

thf(hskp74_type,type,
    hskp74: $o ).

thf(a1674_type,type,
    a1674: $i ).

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

thf(a1714_type,type,
    a1714: $i ).

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

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

thf(a1706_type,type,
    a1706: $i ).

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

thf(a1668_type,type,
    a1668: $i ).

thf(a1669_type,type,
    a1669: $i ).

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

thf(hskp57_type,type,
    hskp57: $o ).

thf(a1724_type,type,
    a1724: $i ).

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

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

thf(a1713_type,type,
    a1713: $i ).

thf(a1721_type,type,
    a1721: $i ).

thf(hskp45_type,type,
    hskp45: $o ).

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

thf(a1710_type,type,
    a1710: $i ).

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

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

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

thf(a1681_type,type,
    a1681: $i ).

thf(a1649_type,type,
    a1649: $i ).

thf(a1726_type,type,
    a1726: $i ).

thf(a1705_type,type,
    a1705: $i ).

thf(hskp64_type,type,
    hskp64: $o ).

thf(hskp36_type,type,
    hskp36: $o ).

thf(a1684_type,type,
    a1684: $i ).

thf(hskp66_type,type,
    hskp66: $o ).

thf(hskp42_type,type,
    hskp42: $o ).

thf(a1695_type,type,
    a1695: $i ).

thf(a1702_type,type,
    a1702: $i ).

thf(hskp43_type,type,
    hskp43: $o ).

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

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

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

thf(hskp75_type,type,
    hskp75: $o ).

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

thf(hskp41_type,type,
    hskp41: $o ).

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

thf(a1663_type,type,
    a1663: $i ).

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

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

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

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

thf(hskp49_type,type,
    hskp49: $o ).

thf(hskp40_type,type,
    hskp40: $o ).

thf(hskp46_type,type,
    hskp46: $o ).

thf(hskp61_type,type,
    hskp61: $o ).

thf(hskp72_type,type,
    hskp72: $o ).

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

thf(hskp52_type,type,
    hskp52: $o ).

thf(a1700_type,type,
    a1700: $i ).

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

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

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

thf(a1660_type,type,
    a1660: $i ).

thf(a1666_type,type,
    a1666: $i ).

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

thf(a1704_type,type,
    a1704: $i ).

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

thf(hskp50_type,type,
    hskp50: $o ).

thf(a1683_type,type,
    a1683: $i ).

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

thf(a1678_type,type,
    a1678: $i ).

thf(a1656_type,type,
    a1656: $i ).

thf(a1672_type,type,
    a1672: $i ).

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

thf(hskp59_type,type,
    hskp59: $o ).

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

thf(hskp55_type,type,
    hskp55: $o ).

thf(hskp73_type,type,
    hskp73: $o ).

thf(hskp58_type,type,
    hskp58: $o ).

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

thf(hskp47_type,type,
    hskp47: $o ).

thf(a1716_type,type,
    a1716: $i ).

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

thf(a1651_type,type,
    a1651: $i ).

thf(a1655_type,type,
    a1655: $i ).

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

thf(hskp37_type,type,
    hskp37: $o ).

thf(a1690_type,type,
    a1690: $i ).

thf(a1657_type,type,
    a1657: $i ).

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

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

thf(hskp34_type,type,
    hskp34: $o ).

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

thf(a1652_type,type,
    a1652: $i ).

thf(a1671_type,type,
    a1671: $i ).

thf(hskp67_type,type,
    hskp67: $o ).

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

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

thf(hskp39_type,type,
    hskp39: $o ).

thf(a1687_type,type,
    a1687: $i ).

thf(hskp33_type,type,
    hskp33: $o ).

thf(hskp53_type,type,
    hskp53: $o ).

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

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

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

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

thf(a1715_type,type,
    a1715: $i ).

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

thf(hskp70_type,type,
    hskp70: $o ).

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

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

thf(hskp62_type,type,
    hskp62: $o ).

thf(a1717_type,type,
    a1717: $i ).

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

thf(hskp63_type,type,
    hskp63: $o ).

thf(a1725_type,type,
    a1725: $i ).

thf(a1692_type,type,
    a1692: $i ).

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

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

thf(hskp51_type,type,
    hskp51: $o ).

thf(hskp56_type,type,
    hskp56: $o ).

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

thf(a1645_type,type,
    a1645: $i ).

thf(a1718_type,type,
    a1718: $i ).

thf(a1693_type,type,
    a1693: $i ).

thf(a1654_type,type,
    a1654: $i ).

thf(a1673_type,type,
    a1673: $i ).

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

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

thf(hskp65_type,type,
    hskp65: $o ).

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

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

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

thf(a1662_type,type,
    a1662: $i ).

thf(a1707_type,type,
    a1707: $i ).

thf(a1686_type,type,
    a1686: $i ).

thf(co1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & ( c1_1 @ a1637 )
          & ( c0_1 @ a1637 )
          & ~ ( c2_1 @ a1637 ) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & ~ ( c1_1 @ a1643 )
          & ( c3_1 @ a1643 )
          & ~ ( c2_1 @ a1643 ) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & ~ ( c1_1 @ a1645 )
          & ~ ( c0_1 @ a1645 )
          & ~ ( c3_1 @ a1645 ) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & ( c0_1 @ a1646 )
          & ~ ( c1_1 @ a1646 )
          & ~ ( c2_1 @ a1646 ) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & ( c1_1 @ a1647 )
          & ~ ( c0_1 @ a1647 )
          & ~ ( c2_1 @ a1647 ) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & ( c3_1 @ a1648 )
          & ~ ( c1_1 @ a1648 )
          & ~ ( c0_1 @ a1648 ) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & ~ ( c1_1 @ a1650 )
          & ~ ( c2_1 @ a1650 )
          & ~ ( c3_1 @ a1650 ) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & ( c3_1 @ a1655 )
          & ( c0_1 @ a1655 )
          & ~ ( c2_1 @ a1655 ) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & ( c2_1 @ a1657 )
          & ~ ( c1_1 @ a1657 )
          & ~ ( c0_1 @ a1657 ) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & ~ ( c3_1 @ a1660 )
          & ~ ( c0_1 @ a1660 )
          & ~ ( c1_1 @ a1660 ) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & ~ ( c2_1 @ a1663 )
          & ~ ( c3_1 @ a1663 )
          & ~ ( c0_1 @ a1663 ) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & ~ ( c3_1 @ a1664 )
          & ~ ( c2_1 @ a1664 )
          & ~ ( c1_1 @ a1664 ) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & ( c2_1 @ a1666 )
          & ( c3_1 @ a1666 )
          & ~ ( c1_1 @ a1666 ) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & ( c0_1 @ a1667 )
          & ( c3_1 @ a1667 )
          & ~ ( c1_1 @ a1667 ) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & ( c2_1 @ a1671 )
          & ~ ( c1_1 @ a1671 )
          & ~ ( c3_1 @ a1671 ) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & ( c3_1 @ a1672 )
          & ( c1_1 @ a1672 )
          & ~ ( c0_1 @ a1672 ) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & ~ ( c0_1 @ a1677 )
          & ~ ( c2_1 @ a1677 )
          & ~ ( c1_1 @ a1677 ) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & ~ ( c0_1 @ a1678 )
          & ~ ( c1_1 @ a1678 )
          & ~ ( c2_1 @ a1678 ) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & ~ ( c3_1 @ a1680 )
          & ~ ( c1_1 @ a1680 )
          & ~ ( c0_1 @ a1680 ) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & ~ ( c1_1 @ a1681 )
          & ~ ( c3_1 @ a1681 )
          & ~ ( c2_1 @ a1681 ) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & ~ ( c2_1 @ a1682 )
          & ~ ( c1_1 @ a1682 )
          & ~ ( c3_1 @ a1682 ) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & ( c3_1 @ a1683 )
          & ( c2_1 @ a1683 )
          & ~ ( c1_1 @ a1683 ) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & ~ ( c0_1 @ a1684 )
          & ( c2_1 @ a1684 )
          & ~ ( c3_1 @ a1684 ) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & ~ ( c0_1 @ a1685 )
          & ( c2_1 @ a1685 )
          & ~ ( c1_1 @ a1685 ) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & ~ ( c0_1 @ a1689 )
          & ( c3_1 @ a1689 )
          & ~ ( c1_1 @ a1689 ) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & ( c2_1 @ a1690 )
          & ~ ( c0_1 @ a1690 )
          & ~ ( c1_1 @ a1690 ) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & ~ ( c3_1 @ a1691 )
          & ~ ( c1_1 @ a1691 )
          & ~ ( c2_1 @ a1691 ) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & ~ ( c0_1 @ a1693 )
          & ~ ( c3_1 @ a1693 )
          & ~ ( c2_1 @ a1693 ) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & ~ ( c1_1 @ a1694 )
          & ( c2_1 @ a1694 )
          & ~ ( c3_1 @ a1694 ) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & ( c2_1 @ a1695 )
          & ( c0_1 @ a1695 )
          & ~ ( c3_1 @ a1695 ) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & ( c1_1 @ a1698 )
          & ( c3_1 @ a1698 )
          & ~ ( c0_1 @ a1698 ) ) )
      & ( ~ hskp31
        | ( ndr1_0
          & ( c2_1 @ a1700 )
          & ~ ( c0_1 @ a1700 )
          & ~ ( c3_1 @ a1700 ) ) )
      & ( ~ hskp32
        | ( ndr1_0
          & ( c1_1 @ a1701 )
          & ( c0_1 @ a1701 )
          & ~ ( c3_1 @ a1701 ) ) )
      & ( ~ hskp33
        | ( ndr1_0
          & ( c3_1 @ a1704 )
          & ~ ( c0_1 @ a1704 )
          & ~ ( c2_1 @ a1704 ) ) )
      & ( ~ hskp34
        | ( ndr1_0
          & ( c2_1 @ a1705 )
          & ~ ( c3_1 @ a1705 )
          & ~ ( c1_1 @ a1705 ) ) )
      & ( ~ hskp35
        | ( ndr1_0
          & ~ ( c0_1 @ a1706 )
          & ~ ( c3_1 @ a1706 )
          & ~ ( c1_1 @ a1706 ) ) )
      & ( ~ hskp36
        | ( ndr1_0
          & ~ ( c2_1 @ a1712 )
          & ~ ( c0_1 @ a1712 )
          & ~ ( c1_1 @ a1712 ) ) )
      & ( ~ hskp37
        | ( ndr1_0
          & ( c2_1 @ a1714 )
          & ( c0_1 @ a1714 )
          & ~ ( c1_1 @ a1714 ) ) )
      & ( ~ hskp38
        | ( ndr1_0
          & ( c3_1 @ a1718 )
          & ~ ( c2_1 @ a1718 )
          & ~ ( c0_1 @ a1718 ) ) )
      & ( ~ hskp39
        | ( ndr1_0
          & ~ ( c1_1 @ a1721 )
          & ( c3_1 @ a1721 )
          & ~ ( c0_1 @ a1721 ) ) )
      & ( ~ hskp40
        | ( ndr1_0
          & ( c1_1 @ a1725 )
          & ( c3_1 @ a1725 )
          & ~ ( c2_1 @ a1725 ) ) )
      & ( ~ hskp41
        | ( ndr1_0
          & ( c0_1 @ a1726 )
          & ( c2_1 @ a1726 )
          & ~ ( c1_1 @ a1726 ) ) )
      & ( ~ hskp42
        | ( ndr1_0
          & ( c1_1 @ a1638 )
          & ~ ( c3_1 @ a1638 )
          & ( c0_1 @ a1638 ) ) )
      & ( ~ hskp43
        | ( ndr1_0
          & ~ ( c1_1 @ a1639 )
          & ( c2_1 @ a1639 )
          & ( c0_1 @ a1639 ) ) )
      & ( ~ hskp44
        | ( ndr1_0
          & ( c3_1 @ a1640 )
          & ( c2_1 @ a1640 )
          & ( c1_1 @ a1640 ) ) )
      & ( ~ hskp45
        | ( ndr1_0
          & ~ ( c3_1 @ a1641 )
          & ~ ( c1_1 @ a1641 )
          & ( c2_1 @ a1641 ) ) )
      & ( ~ hskp46
        | ( ndr1_0
          & ~ ( c2_1 @ a1642 )
          & ~ ( c1_1 @ a1642 )
          & ( c0_1 @ a1642 ) ) )
      & ( ~ hskp47
        | ( ndr1_0
          & ~ ( c1_1 @ a1644 )
          & ~ ( c0_1 @ a1644 )
          & ( c3_1 @ a1644 ) ) )
      & ( ~ hskp48
        | ( ndr1_0
          & ~ ( c3_1 @ a1649 )
          & ~ ( c2_1 @ a1649 )
          & ( c0_1 @ a1649 ) ) )
      & ( ~ hskp49
        | ( ndr1_0
          & ( c3_1 @ a1651 )
          & ~ ( c2_1 @ a1651 )
          & ( c1_1 @ a1651 ) ) )
      & ( ~ hskp50
        | ( ndr1_0
          & ( c3_1 @ a1652 )
          & ( c2_1 @ a1652 )
          & ( c0_1 @ a1652 ) ) )
      & ( ~ hskp51
        | ( ndr1_0
          & ( c2_1 @ a1653 )
          & ~ ( c0_1 @ a1653 )
          & ( c1_1 @ a1653 ) ) )
      & ( ~ hskp52
        | ( ndr1_0
          & ( c0_1 @ a1654 )
          & ( c2_1 @ a1654 )
          & ( c3_1 @ a1654 ) ) )
      & ( ~ hskp53
        | ( ndr1_0
          & ~ ( c3_1 @ a1656 )
          & ( c2_1 @ a1656 )
          & ( c0_1 @ a1656 ) ) )
      & ( ~ hskp54
        | ( ndr1_0
          & ( c3_1 @ a1658 )
          & ~ ( c0_1 @ a1658 )
          & ( c1_1 @ a1658 ) ) )
      & ( ~ hskp55
        | ( ndr1_0
          & ~ ( c2_1 @ a1661 )
          & ~ ( c3_1 @ a1661 )
          & ( c1_1 @ a1661 ) ) )
      & ( ~ hskp56
        | ( ndr1_0
          & ( c0_1 @ a1662 )
          & ~ ( c2_1 @ a1662 )
          & ( c1_1 @ a1662 ) ) )
      & ( ~ hskp57
        | ( ndr1_0
          & ( c0_1 @ a1665 )
          & ~ ( c1_1 @ a1665 )
          & ( c3_1 @ a1665 ) ) )
      & ( ~ hskp58
        | ( ndr1_0
          & ~ ( c0_1 @ a1668 )
          & ~ ( c1_1 @ a1668 )
          & ( c3_1 @ a1668 ) ) )
      & ( ~ hskp59
        | ( ndr1_0
          & ( c3_1 @ a1669 )
          & ~ ( c2_1 @ a1669 )
          & ( c0_1 @ a1669 ) ) )
      & ( ~ hskp60
        | ( ndr1_0
          & ~ ( c1_1 @ a1673 )
          & ( c3_1 @ a1673 )
          & ( c2_1 @ a1673 ) ) )
      & ( ~ hskp61
        | ( ndr1_0
          & ~ ( c1_1 @ a1674 )
          & ~ ( c2_1 @ a1674 )
          & ( c3_1 @ a1674 ) ) )
      & ( ~ hskp62
        | ( ndr1_0
          & ~ ( c3_1 @ a1675 )
          & ( c1_1 @ a1675 )
          & ( c0_1 @ a1675 ) ) )
      & ( ~ hskp63
        | ( ndr1_0
          & ~ ( c0_1 @ a1676 )
          & ( c2_1 @ a1676 )
          & ( c3_1 @ a1676 ) ) )
      & ( ~ hskp64
        | ( ndr1_0
          & ~ ( c3_1 @ a1686 )
          & ~ ( c1_1 @ a1686 )
          & ( c0_1 @ a1686 ) ) )
      & ( ~ hskp65
        | ( ndr1_0
          & ~ ( c3_1 @ a1687 )
          & ~ ( c0_1 @ a1687 )
          & ( c2_1 @ a1687 ) ) )
      & ( ~ hskp66
        | ( ndr1_0
          & ~ ( c1_1 @ a1692 )
          & ~ ( c2_1 @ a1692 )
          & ( c0_1 @ a1692 ) ) )
      & ( ~ hskp67
        | ( ndr1_0
          & ( c1_1 @ a1702 )
          & ( c2_1 @ a1702 )
          & ( c3_1 @ a1702 ) ) )
      & ( ~ hskp68
        | ( ndr1_0
          & ~ ( c1_1 @ a1707 )
          & ( c3_1 @ a1707 )
          & ( c0_1 @ a1707 ) ) )
      & ( ~ hskp69
        | ( ndr1_0
          & ~ ( c1_1 @ a1709 )
          & ( c0_1 @ a1709 )
          & ( c3_1 @ a1709 ) ) )
      & ( ~ hskp70
        | ( ndr1_0
          & ~ ( c0_1 @ a1710 )
          & ~ ( c3_1 @ a1710 )
          & ( c1_1 @ a1710 ) ) )
      & ( ~ hskp71
        | ( ndr1_0
          & ~ ( c2_1 @ a1713 )
          & ( c3_1 @ a1713 )
          & ( c0_1 @ a1713 ) ) )
      & ( ~ hskp72
        | ( ndr1_0
          & ~ ( c2_1 @ a1715 )
          & ( c1_1 @ a1715 )
          & ( c3_1 @ a1715 ) ) )
      & ( ~ hskp73
        | ( ndr1_0
          & ( c2_1 @ a1716 )
          & ~ ( c3_1 @ a1716 )
          & ( c0_1 @ a1716 ) ) )
      & ( ~ hskp74
        | ( ndr1_0
          & ~ ( c3_1 @ a1717 )
          & ( c0_1 @ a1717 )
          & ( c2_1 @ a1717 ) ) )
      & ( ~ hskp75
        | ( ndr1_0
          & ( c0_1 @ a1724 )
          & ~ ( c2_1 @ a1724 )
          & ( c3_1 @ a1724 ) ) )
      & ( hskp0
        | ! [U: $i] :
            ( ndr1_0
           => ( ~ ( c2_1 @ U )
              | ~ ( c0_1 @ U )
              | ( c3_1 @ U ) ) )
        | hskp42 )
      & ( hskp43
        | hskp44
        | hskp45 )
      & ( ! [V: $i] :
            ( ndr1_0
           => ( ( c0_1 @ V )
              | ~ ( c1_1 @ V )
              | ( c2_1 @ V ) ) )
        | hskp46
        | ! [W: $i] :
            ( ndr1_0
           => ( ~ ( c2_1 @ W )
              | ( c0_1 @ W )
              | ~ ( c3_1 @ W ) ) ) )
      & ( ! [X: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X )
              | ( c0_1 @ X )
              | ( c3_1 @ X ) ) )
        | hskp1
        | ! [Y: $i] :
            ( ndr1_0
           => ( ( c1_1 @ Y )
              | ~ ( c0_1 @ Y )
              | ( c2_1 @ Y ) ) ) )
      & ( hskp47
        | hskp2
        | hskp3 )
      & ( ! [Z: $i] :
            ( ndr1_0
           => ( ( c1_1 @ Z )
              | ( c0_1 @ Z )
              | ~ ( c3_1 @ Z ) ) )
        | hskp4
        | hskp5 )
      & ( ! [X1: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X1 )
              | ~ ( c3_1 @ X1 )
              | ( c2_1 @ X1 ) ) )
        | hskp48
        | hskp6 )
      & ( ! [X2: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X2 )
              | ( c0_1 @ X2 )
              | ~ ( c1_1 @ X2 ) ) )
        | ! [X3: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X3 )
              | ( c2_1 @ X3 )
              | ( c0_1 @ X3 ) ) )
        | hskp49 )
      & ( hskp50
        | ! [X4: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X4 )
              | ~ ( c0_1 @ X4 )
              | ~ ( c2_1 @ X4 ) ) )
        | hskp51 )
      & ( hskp52
        | ! [X5: $i] :
            ( ndr1_0
           => ( ~ ( c2_1 @ X5 )
              | ~ ( c0_1 @ X5 )
              | ( c3_1 @ X5 ) ) )
        | hskp7 )
      & ( hskp53
        | hskp8
        | hskp54 )
      & ( ! [X6: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X6 )
              | ( c3_1 @ X6 )
              | ( c0_1 @ X6 ) ) )
        | ! [X7: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X7 )
              | ( c1_1 @ X7 )
              | ~ ( c2_1 @ X7 ) ) )
        | ! [X8: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X8 )
              | ~ ( c3_1 @ X8 )
              | ~ ( c2_1 @ X8 ) ) ) )
      & ( hskp2
        | ! [X9: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X9 )
              | ( c1_1 @ X9 )
              | ~ ( c0_1 @ X9 ) ) )
        | ! [X10: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X10 )
              | ( c3_1 @ X10 )
              | ~ ( c0_1 @ X10 ) ) ) )
      & ( hskp9
        | hskp55
        | ! [X11: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X11 )
              | ~ ( c2_1 @ X11 )
              | ( c3_1 @ X11 ) ) ) )
      & ( ! [X12: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X12 )
              | ( c1_1 @ X12 )
              | ( c3_1 @ X12 ) ) )
        | ! [X13: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X13 )
              | ( c0_1 @ X13 )
              | ~ ( c3_1 @ X13 ) ) )
        | ! [X14: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X14 )
              | ~ ( c3_1 @ X14 )
              | ~ ( c0_1 @ X14 ) ) ) )
      & ( hskp56
        | ! [X15: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X15 )
              | ( c3_1 @ X15 )
              | ( c0_1 @ X15 ) ) )
        | hskp10 )
      & ( ! [X16: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X16 )
              | ( c2_1 @ X16 )
              | ~ ( c3_1 @ X16 ) ) )
        | hskp11
        | hskp57 )
      & ( hskp12
        | hskp13
        | ! [X17: $i] :
            ( ndr1_0
           => ( ~ ( c2_1 @ X17 )
              | ~ ( c3_1 @ X17 )
              | ~ ( c1_1 @ X17 ) ) ) )
      & ( hskp58
        | hskp59
        | ! [X18: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X18 )
              | ~ ( c0_1 @ X18 )
              | ( c2_1 @ X18 ) ) ) )
      & ( hskp10
        | hskp14
        | hskp15 )
      & ( ! [X19: $i] :
            ( ndr1_0
           => ( ~ ( c2_1 @ X19 )
              | ( c1_1 @ X19 )
              | ~ ( c3_1 @ X19 ) ) )
        | ! [X20: $i] :
            ( ndr1_0
           => ( ~ ( c3_1 @ X20 )
              | ( c2_1 @ X20 )
              | ( c0_1 @ X20 ) ) )
        | ! [X21: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X21 )
              | ~ ( c0_1 @ X21 )
              | ~ ( c3_1 @ X21 ) ) ) )
      & ( hskp60
        | ! [X22: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X22 )
              | ( c1_1 @ X22 )
              | ~ ( c3_1 @ X22 ) ) )
        | ! [X23: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X23 )
              | ~ ( c2_1 @ X23 )
              | ( c1_1 @ X23 ) ) ) )
      & ( ! [X24: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X24 )
              | ~ ( c3_1 @ X24 )
              | ( c0_1 @ X24 ) ) )
        | hskp61
        | hskp62 )
      & ( ! [X25: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X25 )
              | ~ ( c2_1 @ X25 )
              | ( c3_1 @ X25 ) ) )
        | ! [X26: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X26 )
              | ~ ( c3_1 @ X26 )
              | ( c1_1 @ X26 ) ) )
        | ! [X27: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X27 )
              | ~ ( c3_1 @ X27 )
              | ( c1_1 @ X27 ) ) ) )
      & ( hskp63
        | ! [X28: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X28 )
              | ~ ( c0_1 @ X28 )
              | ~ ( c3_1 @ X28 ) ) )
        | ! [X29: $i] :
            ( ndr1_0
           => ( ~ ( c2_1 @ X29 )
              | ~ ( c1_1 @ X29 )
              | ~ ( c3_1 @ X29 ) ) ) )
      & ( ! [X30: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X30 )
              | ( c1_1 @ X30 )
              | ~ ( c3_1 @ X30 ) ) )
        | hskp16
        | hskp17 )
      & ( hskp60
        | hskp18
        | ! [X31: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X31 )
              | ~ ( c2_1 @ X31 )
              | ( c3_1 @ X31 ) ) ) )
      & ( hskp19
        | ! [X32: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X32 )
              | ~ ( c1_1 @ X32 )
              | ( c3_1 @ X32 ) ) )
        | hskp20 )
      & ( ! [X33: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X33 )
              | ( c0_1 @ X33 )
              | ( c2_1 @ X33 ) ) )
        | hskp21
        | ! [X34: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X34 )
              | ( c2_1 @ X34 )
              | ( c3_1 @ X34 ) ) ) )
      & ( ! [X35: $i] :
            ( ndr1_0
           => ( ~ ( c2_1 @ X35 )
              | ( c0_1 @ X35 )
              | ( c3_1 @ X35 ) ) )
        | hskp22
        | ! [X36: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X36 )
              | ~ ( c0_1 @ X36 )
              | ( c2_1 @ X36 ) ) ) )
      & ( hskp23
        | hskp64
        | hskp65 )
      & ( hskp61
        | hskp24
        | ! [X37: $i] :
            ( ndr1_0
           => ( ~ ( c3_1 @ X37 )
              | ( c1_1 @ X37 )
              | ( c0_1 @ X37 ) ) ) )
      & ( hskp25
        | ! [X38: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X38 )
              | ( c0_1 @ X38 )
              | ( c3_1 @ X38 ) ) )
        | ! [X39: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X39 )
              | ~ ( c3_1 @ X39 )
              | ( c0_1 @ X39 ) ) ) )
      & ( ! [X40: $i] :
            ( ndr1_0
           => ( ~ ( c2_1 @ X40 )
              | ~ ( c3_1 @ X40 )
              | ~ ( c0_1 @ X40 ) ) )
        | hskp26
        | ! [X41: $i] :
            ( ndr1_0
           => ( ~ ( c2_1 @ X41 )
              | ~ ( c3_1 @ X41 )
              | ( c1_1 @ X41 ) ) ) )
      & ( hskp66
        | hskp27
        | hskp28 )
      & ( hskp29
        | hskp52
        | hskp53 )
      & ( ! [X42: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X42 )
              | ~ ( c1_1 @ X42 )
              | ( c2_1 @ X42 ) ) )
        | ! [X43: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X43 )
              | ~ ( c3_1 @ X43 )
              | ( c1_1 @ X43 ) ) )
        | hskp30 )
      & ( hskp63
        | hskp31
        | hskp32 )
      & ( ! [X44: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X44 )
              | ~ ( c3_1 @ X44 )
              | ~ ( c2_1 @ X44 ) ) )
        | ! [X45: $i] :
            ( ndr1_0
           => ( ~ ( c3_1 @ X45 )
              | ~ ( c0_1 @ X45 )
              | ( c1_1 @ X45 ) ) )
        | hskp67 )
      & ( ! [X46: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X46 )
              | ~ ( c0_1 @ X46 )
              | ~ ( c3_1 @ X46 ) ) )
        | hskp61
        | hskp33 )
      & ( hskp34
        | ! [X47: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X47 )
              | ~ ( c3_1 @ X47 )
              | ( c2_1 @ X47 ) ) )
        | ! [X48: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X48 )
              | ~ ( c0_1 @ X48 )
              | ~ ( c2_1 @ X48 ) ) ) )
      & ( hskp35
        | hskp68
        | ! [X49: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X49 )
              | ~ ( c1_1 @ X49 )
              | ( c2_1 @ X49 ) ) ) )
      & ( ! [X50: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X50 )
              | ~ ( c1_1 @ X50 )
              | ~ ( c3_1 @ X50 ) ) )
        | ! [X51: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X51 )
              | ~ ( c0_1 @ X51 )
              | ~ ( c3_1 @ X51 ) ) )
        | hskp13 )
      & ( hskp69
        | ! [X52: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X52 )
              | ( c2_1 @ X52 )
              | ( c3_1 @ X52 ) ) )
        | ! [X53: $i] :
            ( ndr1_0
           => ( ~ ( c3_1 @ X53 )
              | ( c0_1 @ X53 )
              | ( c1_1 @ X53 ) ) ) )
      & ( hskp70
        | ! [X54: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X54 )
              | ( c0_1 @ X54 )
              | ~ ( c2_1 @ X54 ) ) )
        | ! [X55: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X55 )
              | ( c0_1 @ X55 )
              | ( c3_1 @ X55 ) ) ) )
      & ( ! [X56: $i] :
            ( ndr1_0
           => ( ~ ( c2_1 @ X56 )
              | ~ ( c1_1 @ X56 )
              | ~ ( c0_1 @ X56 ) ) )
        | ! [X57: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X57 )
              | ~ ( c1_1 @ X57 )
              | ~ ( c3_1 @ X57 ) ) )
        | hskp0 )
      & ( ! [X58: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X58 )
              | ~ ( c1_1 @ X58 )
              | ( c0_1 @ X58 ) ) )
        | hskp36
        | hskp71 )
      & ( ! [X59: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X59 )
              | ( c1_1 @ X59 )
              | ( c3_1 @ X59 ) ) )
        | ! [X60: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X60 )
              | ( c2_1 @ X60 )
              | ( c0_1 @ X60 ) ) )
        | ! [X61: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X61 )
              | ~ ( c0_1 @ X61 )
              | ~ ( c2_1 @ X61 ) ) ) )
      & ( hskp37
        | ! [X62: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X62 )
              | ( c0_1 @ X62 )
              | ( c2_1 @ X62 ) ) )
        | hskp72 )
      & ( hskp73
        | ! [X63: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X63 )
              | ~ ( c3_1 @ X63 )
              | ( c0_1 @ X63 ) ) )
        | ! [X64: $i] :
            ( ndr1_0
           => ( ~ ( c3_1 @ X64 )
              | ~ ( c2_1 @ X64 )
              | ( c1_1 @ X64 ) ) ) )
      & ( hskp74
        | hskp38
        | ! [X65: $i] :
            ( ndr1_0
           => ( ~ ( c3_1 @ X65 )
              | ~ ( c2_1 @ X65 )
              | ~ ( c0_1 @ X65 ) ) ) )
      & ( ! [X66: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X66 )
              | ~ ( c0_1 @ X66 )
              | ~ ( c3_1 @ X66 ) ) )
        | hskp47
        | ! [X67: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X67 )
              | ( c3_1 @ X67 )
              | ( c2_1 @ X67 ) ) ) )
      & ( ! [X68: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X68 )
              | ( c2_1 @ X68 )
              | ~ ( c3_1 @ X68 ) ) )
        | ! [X69: $i] :
            ( ndr1_0
           => ( ~ ( c3_1 @ X69 )
              | ~ ( c0_1 @ X69 )
              | ~ ( c1_1 @ X69 ) ) )
        | ! [X70: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X70 )
              | ( c2_1 @ X70 )
              | ( c1_1 @ X70 ) ) ) )
      & ( ! [X71: $i] :
            ( ndr1_0
           => ( ~ ( c2_1 @ X71 )
              | ( c1_1 @ X71 )
              | ( c3_1 @ X71 ) ) )
        | hskp57
        | ! [X72: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X72 )
              | ( c3_1 @ X72 )
              | ~ ( c0_1 @ X72 ) ) ) )
      & ( hskp39
        | ! [X73: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X73 )
              | ~ ( c3_1 @ X73 )
              | ~ ( c2_1 @ X73 ) ) )
        | ! [X74: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X74 )
              | ~ ( c0_1 @ X74 )
              | ~ ( c3_1 @ X74 ) ) ) )
      & ( ! [X75: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X75 )
              | ( c1_1 @ X75 )
              | ~ ( c3_1 @ X75 ) ) )
        | hskp29
        | ! [X76: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X76 )
              | ( c1_1 @ X76 )
              | ~ ( c3_1 @ X76 ) ) ) )
      & ( hskp61
        | ! [X77: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X77 )
              | ~ ( c0_1 @ X77 )
              | ~ ( c1_1 @ X77 ) ) )
        | ! [X78: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X78 )
              | ( c2_1 @ X78 )
              | ( c3_1 @ X78 ) ) ) )
      & ( ! [X79: $i] :
            ( ndr1_0
           => ( ~ ( c2_1 @ X79 )
              | ( c3_1 @ X79 )
              | ~ ( c1_1 @ X79 ) ) )
        | hskp75
        | ! [X80: $i] :
            ( ndr1_0
           => ( ~ ( c3_1 @ X80 )
              | ( c1_1 @ X80 )
              | ( c2_1 @ X80 ) ) ) )
      & ( ! [X81: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X81 )
              | ~ ( c2_1 @ X81 )
              | ( c3_1 @ X81 ) ) )
        | hskp40
        | ! [X82: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X82 )
              | ~ ( c1_1 @ X82 )
              | ~ ( c3_1 @ X82 ) ) ) )
      & ( ! [X83: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X83 )
              | ~ ( c1_1 @ X83 )
              | ( c0_1 @ X83 ) ) )
        | hskp41
        | hskp30 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( ~ hskp0
      | ( ndr1_0
        & ( c1_1 @ a1637 )
        & ( c0_1 @ a1637 )
        & ~ ( c2_1 @ a1637 ) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ~ ( c1_1 @ a1643 )
        & ( c3_1 @ a1643 )
        & ~ ( c2_1 @ a1643 ) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ~ ( c1_1 @ a1645 )
        & ~ ( c0_1 @ a1645 )
        & ~ ( c3_1 @ a1645 ) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ( c0_1 @ a1646 )
        & ~ ( c1_1 @ a1646 )
        & ~ ( c2_1 @ a1646 ) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ( c1_1 @ a1647 )
        & ~ ( c0_1 @ a1647 )
        & ~ ( c2_1 @ a1647 ) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ( c3_1 @ a1648 )
        & ~ ( c1_1 @ a1648 )
        & ~ ( c0_1 @ a1648 ) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ~ ( c1_1 @ a1650 )
        & ~ ( c2_1 @ a1650 )
        & ~ ( c3_1 @ a1650 ) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & ( c3_1 @ a1655 )
        & ( c0_1 @ a1655 )
        & ~ ( c2_1 @ a1655 ) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ( c2_1 @ a1657 )
        & ~ ( c1_1 @ a1657 )
        & ~ ( c0_1 @ a1657 ) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ~ ( c3_1 @ a1660 )
        & ~ ( c0_1 @ a1660 )
        & ~ ( c1_1 @ a1660 ) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ~ ( c2_1 @ a1663 )
        & ~ ( c3_1 @ a1663 )
        & ~ ( c0_1 @ a1663 ) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ~ ( c3_1 @ a1664 )
        & ~ ( c2_1 @ a1664 )
        & ~ ( c1_1 @ a1664 ) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ( c2_1 @ a1666 )
        & ( c3_1 @ a1666 )
        & ~ ( c1_1 @ a1666 ) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & ( c0_1 @ a1667 )
        & ( c3_1 @ a1667 )
        & ~ ( c1_1 @ a1667 ) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ( c2_1 @ a1671 )
        & ~ ( c1_1 @ a1671 )
        & ~ ( c3_1 @ a1671 ) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & ( c3_1 @ a1672 )
        & ( c1_1 @ a1672 )
        & ~ ( c0_1 @ a1672 ) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & ~ ( c0_1 @ a1677 )
        & ~ ( c2_1 @ a1677 )
        & ~ ( c1_1 @ a1677 ) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ~ ( c0_1 @ a1678 )
        & ~ ( c1_1 @ a1678 )
        & ~ ( c2_1 @ a1678 ) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ~ ( c3_1 @ a1680 )
        & ~ ( c1_1 @ a1680 )
        & ~ ( c0_1 @ a1680 ) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ~ ( c1_1 @ a1681 )
        & ~ ( c3_1 @ a1681 )
        & ~ ( c2_1 @ a1681 ) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ~ ( c2_1 @ a1682 )
        & ~ ( c1_1 @ a1682 )
        & ~ ( c3_1 @ a1682 ) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & ( c3_1 @ a1683 )
        & ( c2_1 @ a1683 )
        & ~ ( c1_1 @ a1683 ) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ~ ( c0_1 @ a1684 )
        & ( c2_1 @ a1684 )
        & ~ ( c3_1 @ a1684 ) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ~ ( c0_1 @ a1685 )
        & ( c2_1 @ a1685 )
        & ~ ( c1_1 @ a1685 ) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ~ ( c0_1 @ a1689 )
        & ( c3_1 @ a1689 )
        & ~ ( c1_1 @ a1689 ) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ( c2_1 @ a1690 )
        & ~ ( c0_1 @ a1690 )
        & ~ ( c1_1 @ a1690 ) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ~ ( c3_1 @ a1691 )
        & ~ ( c1_1 @ a1691 )
        & ~ ( c2_1 @ a1691 ) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ~ ( c0_1 @ a1693 )
        & ~ ( c3_1 @ a1693 )
        & ~ ( c2_1 @ a1693 ) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & ~ ( c1_1 @ a1694 )
        & ( c2_1 @ a1694 )
        & ~ ( c3_1 @ a1694 ) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & ( c2_1 @ a1695 )
        & ( c0_1 @ a1695 )
        & ~ ( c3_1 @ a1695 ) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & ( c1_1 @ a1698 )
        & ( c3_1 @ a1698 )
        & ~ ( c0_1 @ a1698 ) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & ( c2_1 @ a1700 )
        & ~ ( c0_1 @ a1700 )
        & ~ ( c3_1 @ a1700 ) ) )
    & ( ~ hskp32
      | ( ndr1_0
        & ( c1_1 @ a1701 )
        & ( c0_1 @ a1701 )
        & ~ ( c3_1 @ a1701 ) ) )
    & ( ~ hskp33
      | ( ndr1_0
        & ( c3_1 @ a1704 )
        & ~ ( c0_1 @ a1704 )
        & ~ ( c2_1 @ a1704 ) ) )
    & ( ~ hskp34
      | ( ndr1_0
        & ( c2_1 @ a1705 )
        & ~ ( c3_1 @ a1705 )
        & ~ ( c1_1 @ a1705 ) ) )
    & ( ~ hskp35
      | ( ndr1_0
        & ~ ( c0_1 @ a1706 )
        & ~ ( c3_1 @ a1706 )
        & ~ ( c1_1 @ a1706 ) ) )
    & ( ~ hskp36
      | ( ndr1_0
        & ~ ( c2_1 @ a1712 )
        & ~ ( c0_1 @ a1712 )
        & ~ ( c1_1 @ a1712 ) ) )
    & ( ~ hskp37
      | ( ndr1_0
        & ( c2_1 @ a1714 )
        & ( c0_1 @ a1714 )
        & ~ ( c1_1 @ a1714 ) ) )
    & ( ~ hskp38
      | ( ndr1_0
        & ( c3_1 @ a1718 )
        & ~ ( c2_1 @ a1718 )
        & ~ ( c0_1 @ a1718 ) ) )
    & ( ~ hskp39
      | ( ndr1_0
        & ~ ( c1_1 @ a1721 )
        & ( c3_1 @ a1721 )
        & ~ ( c0_1 @ a1721 ) ) )
    & ( ~ hskp40
      | ( ndr1_0
        & ( c1_1 @ a1725 )
        & ( c3_1 @ a1725 )
        & ~ ( c2_1 @ a1725 ) ) )
    & ( ~ hskp41
      | ( ndr1_0
        & ( c0_1 @ a1726 )
        & ( c2_1 @ a1726 )
        & ~ ( c1_1 @ a1726 ) ) )
    & ( ~ hskp42
      | ( ndr1_0
        & ( c1_1 @ a1638 )
        & ~ ( c3_1 @ a1638 )
        & ( c0_1 @ a1638 ) ) )
    & ( ~ hskp43
      | ( ndr1_0
        & ~ ( c1_1 @ a1639 )
        & ( c2_1 @ a1639 )
        & ( c0_1 @ a1639 ) ) )
    & ( ~ hskp44
      | ( ndr1_0
        & ( c3_1 @ a1640 )
        & ( c2_1 @ a1640 )
        & ( c1_1 @ a1640 ) ) )
    & ( ~ hskp45
      | ( ndr1_0
        & ~ ( c3_1 @ a1641 )
        & ~ ( c1_1 @ a1641 )
        & ( c2_1 @ a1641 ) ) )
    & ( ~ hskp46
      | ( ndr1_0
        & ~ ( c2_1 @ a1642 )
        & ~ ( c1_1 @ a1642 )
        & ( c0_1 @ a1642 ) ) )
    & ( ~ hskp47
      | ( ndr1_0
        & ~ ( c1_1 @ a1644 )
        & ~ ( c0_1 @ a1644 )
        & ( c3_1 @ a1644 ) ) )
    & ( ~ hskp48
      | ( ndr1_0
        & ~ ( c3_1 @ a1649 )
        & ~ ( c2_1 @ a1649 )
        & ( c0_1 @ a1649 ) ) )
    & ( ~ hskp49
      | ( ndr1_0
        & ( c3_1 @ a1651 )
        & ~ ( c2_1 @ a1651 )
        & ( c1_1 @ a1651 ) ) )
    & ( ~ hskp50
      | ( ndr1_0
        & ( c3_1 @ a1652 )
        & ( c2_1 @ a1652 )
        & ( c0_1 @ a1652 ) ) )
    & ( ~ hskp51
      | ( ndr1_0
        & ( c2_1 @ a1653 )
        & ~ ( c0_1 @ a1653 )
        & ( c1_1 @ a1653 ) ) )
    & ( ~ hskp52
      | ( ndr1_0
        & ( c0_1 @ a1654 )
        & ( c2_1 @ a1654 )
        & ( c3_1 @ a1654 ) ) )
    & ( ~ hskp53
      | ( ndr1_0
        & ~ ( c3_1 @ a1656 )
        & ( c2_1 @ a1656 )
        & ( c0_1 @ a1656 ) ) )
    & ( ~ hskp54
      | ( ndr1_0
        & ( c3_1 @ a1658 )
        & ~ ( c0_1 @ a1658 )
        & ( c1_1 @ a1658 ) ) )
    & ( ~ hskp55
      | ( ndr1_0
        & ~ ( c2_1 @ a1661 )
        & ~ ( c3_1 @ a1661 )
        & ( c1_1 @ a1661 ) ) )
    & ( ~ hskp56
      | ( ndr1_0
        & ( c0_1 @ a1662 )
        & ~ ( c2_1 @ a1662 )
        & ( c1_1 @ a1662 ) ) )
    & ( ~ hskp57
      | ( ndr1_0
        & ( c0_1 @ a1665 )
        & ~ ( c1_1 @ a1665 )
        & ( c3_1 @ a1665 ) ) )
    & ( ~ hskp58
      | ( ndr1_0
        & ~ ( c0_1 @ a1668 )
        & ~ ( c1_1 @ a1668 )
        & ( c3_1 @ a1668 ) ) )
    & ( ~ hskp59
      | ( ndr1_0
        & ( c3_1 @ a1669 )
        & ~ ( c2_1 @ a1669 )
        & ( c0_1 @ a1669 ) ) )
    & ( ~ hskp60
      | ( ndr1_0
        & ~ ( c1_1 @ a1673 )
        & ( c3_1 @ a1673 )
        & ( c2_1 @ a1673 ) ) )
    & ( ~ hskp61
      | ( ndr1_0
        & ~ ( c1_1 @ a1674 )
        & ~ ( c2_1 @ a1674 )
        & ( c3_1 @ a1674 ) ) )
    & ( ~ hskp62
      | ( ndr1_0
        & ~ ( c3_1 @ a1675 )
        & ( c1_1 @ a1675 )
        & ( c0_1 @ a1675 ) ) )
    & ( ~ hskp63
      | ( ndr1_0
        & ~ ( c0_1 @ a1676 )
        & ( c2_1 @ a1676 )
        & ( c3_1 @ a1676 ) ) )
    & ( ~ hskp64
      | ( ndr1_0
        & ~ ( c3_1 @ a1686 )
        & ~ ( c1_1 @ a1686 )
        & ( c0_1 @ a1686 ) ) )
    & ( ~ hskp65
      | ( ndr1_0
        & ~ ( c3_1 @ a1687 )
        & ~ ( c0_1 @ a1687 )
        & ( c2_1 @ a1687 ) ) )
    & ( ~ hskp66
      | ( ndr1_0
        & ~ ( c1_1 @ a1692 )
        & ~ ( c2_1 @ a1692 )
        & ( c0_1 @ a1692 ) ) )
    & ( ~ hskp67
      | ( ndr1_0
        & ( c1_1 @ a1702 )
        & ( c2_1 @ a1702 )
        & ( c3_1 @ a1702 ) ) )
    & ( ~ hskp68
      | ( ndr1_0
        & ~ ( c1_1 @ a1707 )
        & ( c3_1 @ a1707 )
        & ( c0_1 @ a1707 ) ) )
    & ( ~ hskp69
      | ( ndr1_0
        & ~ ( c1_1 @ a1709 )
        & ( c0_1 @ a1709 )
        & ( c3_1 @ a1709 ) ) )
    & ( ~ hskp70
      | ( ndr1_0
        & ~ ( c0_1 @ a1710 )
        & ~ ( c3_1 @ a1710 )
        & ( c1_1 @ a1710 ) ) )
    & ( ~ hskp71
      | ( ndr1_0
        & ~ ( c2_1 @ a1713 )
        & ( c3_1 @ a1713 )
        & ( c0_1 @ a1713 ) ) )
    & ( ~ hskp72
      | ( ndr1_0
        & ~ ( c2_1 @ a1715 )
        & ( c1_1 @ a1715 )
        & ( c3_1 @ a1715 ) ) )
    & ( ~ hskp73
      | ( ndr1_0
        & ( c2_1 @ a1716 )
        & ~ ( c3_1 @ a1716 )
        & ( c0_1 @ a1716 ) ) )
    & ( ~ hskp74
      | ( ndr1_0
        & ~ ( c3_1 @ a1717 )
        & ( c0_1 @ a1717 )
        & ( c2_1 @ a1717 ) ) )
    & ( ~ hskp75
      | ( ndr1_0
        & ( c0_1 @ a1724 )
        & ~ ( c2_1 @ a1724 )
        & ( c3_1 @ a1724 ) ) )
    & ( hskp0
      | ! [U: $i] :
          ( ndr1_0
         => ( ~ ( c2_1 @ U )
            | ~ ( c0_1 @ U )
            | ( c3_1 @ U ) ) )
      | hskp42 )
    & ( hskp43
      | hskp44
      | hskp45 )
    & ( ! [V: $i] :
          ( ndr1_0
         => ( ( c0_1 @ V )
            | ~ ( c1_1 @ V )
            | ( c2_1 @ V ) ) )
      | hskp46
      | ! [W: $i] :
          ( ndr1_0
         => ( ~ ( c2_1 @ W )
            | ( c0_1 @ W )
            | ~ ( c3_1 @ W ) ) ) )
    & ( ! [X: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X )
            | ( c0_1 @ X )
            | ( c3_1 @ X ) ) )
      | hskp1
      | ! [Y: $i] :
          ( ndr1_0
         => ( ( c1_1 @ Y )
            | ~ ( c0_1 @ Y )
            | ( c2_1 @ Y ) ) ) )
    & ( hskp47
      | hskp2
      | hskp3 )
    & ( ! [Z: $i] :
          ( ndr1_0
         => ( ( c1_1 @ Z )
            | ( c0_1 @ Z )
            | ~ ( c3_1 @ Z ) ) )
      | hskp4
      | hskp5 )
    & ( ! [X1: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X1 )
            | ~ ( c3_1 @ X1 )
            | ( c2_1 @ X1 ) ) )
      | hskp48
      | hskp6 )
    & ( ! [X2: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X2 )
            | ( c0_1 @ X2 )
            | ~ ( c1_1 @ X2 ) ) )
      | ! [X3: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X3 )
            | ( c2_1 @ X3 )
            | ( c0_1 @ X3 ) ) )
      | hskp49 )
    & ( hskp50
      | ! [X4: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X4 )
            | ~ ( c0_1 @ X4 )
            | ~ ( c2_1 @ X4 ) ) )
      | hskp51 )
    & ( hskp52
      | ! [X5: $i] :
          ( ndr1_0
         => ( ~ ( c2_1 @ X5 )
            | ~ ( c0_1 @ X5 )
            | ( c3_1 @ X5 ) ) )
      | hskp7 )
    & ( hskp53
      | hskp8
      | hskp54 )
    & ( ! [X6: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X6 )
            | ( c3_1 @ X6 )
            | ( c0_1 @ X6 ) ) )
      | ! [X7: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X7 )
            | ( c1_1 @ X7 )
            | ~ ( c2_1 @ X7 ) ) )
      | ! [X8: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X8 )
            | ~ ( c3_1 @ X8 )
            | ~ ( c2_1 @ X8 ) ) ) )
    & ( hskp2
      | ! [X9: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X9 )
            | ( c1_1 @ X9 )
            | ~ ( c0_1 @ X9 ) ) )
      | ! [X10: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X10 )
            | ( c3_1 @ X10 )
            | ~ ( c0_1 @ X10 ) ) ) )
    & ( hskp9
      | hskp55
      | ! [X11: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X11 )
            | ~ ( c2_1 @ X11 )
            | ( c3_1 @ X11 ) ) ) )
    & ( ! [X12: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X12 )
            | ( c1_1 @ X12 )
            | ( c3_1 @ X12 ) ) )
      | ! [X13: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X13 )
            | ( c0_1 @ X13 )
            | ~ ( c3_1 @ X13 ) ) )
      | ! [X14: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X14 )
            | ~ ( c3_1 @ X14 )
            | ~ ( c0_1 @ X14 ) ) ) )
    & ( hskp56
      | ! [X15: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X15 )
            | ( c3_1 @ X15 )
            | ( c0_1 @ X15 ) ) )
      | hskp10 )
    & ( ! [X16: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X16 )
            | ( c2_1 @ X16 )
            | ~ ( c3_1 @ X16 ) ) )
      | hskp11
      | hskp57 )
    & ( hskp12
      | hskp13
      | ! [X17: $i] :
          ( ndr1_0
         => ( ~ ( c2_1 @ X17 )
            | ~ ( c3_1 @ X17 )
            | ~ ( c1_1 @ X17 ) ) ) )
    & ( hskp58
      | hskp59
      | ! [X18: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X18 )
            | ~ ( c0_1 @ X18 )
            | ( c2_1 @ X18 ) ) ) )
    & ( hskp10
      | hskp14
      | hskp15 )
    & ( ! [X19: $i] :
          ( ndr1_0
         => ( ~ ( c2_1 @ X19 )
            | ( c1_1 @ X19 )
            | ~ ( c3_1 @ X19 ) ) )
      | ! [X20: $i] :
          ( ndr1_0
         => ( ~ ( c3_1 @ X20 )
            | ( c2_1 @ X20 )
            | ( c0_1 @ X20 ) ) )
      | ! [X21: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X21 )
            | ~ ( c0_1 @ X21 )
            | ~ ( c3_1 @ X21 ) ) ) )
    & ( hskp60
      | ! [X22: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X22 )
            | ( c1_1 @ X22 )
            | ~ ( c3_1 @ X22 ) ) )
      | ! [X23: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X23 )
            | ~ ( c2_1 @ X23 )
            | ( c1_1 @ X23 ) ) ) )
    & ( ! [X24: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X24 )
            | ~ ( c3_1 @ X24 )
            | ( c0_1 @ X24 ) ) )
      | hskp61
      | hskp62 )
    & ( ! [X25: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X25 )
            | ~ ( c2_1 @ X25 )
            | ( c3_1 @ X25 ) ) )
      | ! [X26: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X26 )
            | ~ ( c3_1 @ X26 )
            | ( c1_1 @ X26 ) ) )
      | ! [X27: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X27 )
            | ~ ( c3_1 @ X27 )
            | ( c1_1 @ X27 ) ) ) )
    & ( hskp63
      | ! [X28: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X28 )
            | ~ ( c0_1 @ X28 )
            | ~ ( c3_1 @ X28 ) ) )
      | ! [X29: $i] :
          ( ndr1_0
         => ( ~ ( c2_1 @ X29 )
            | ~ ( c1_1 @ X29 )
            | ~ ( c3_1 @ X29 ) ) ) )
    & ( ! [X30: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X30 )
            | ( c1_1 @ X30 )
            | ~ ( c3_1 @ X30 ) ) )
      | hskp16
      | hskp17 )
    & ( hskp60
      | hskp18
      | ! [X31: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X31 )
            | ~ ( c2_1 @ X31 )
            | ( c3_1 @ X31 ) ) ) )
    & ( hskp19
      | ! [X32: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X32 )
            | ~ ( c1_1 @ X32 )
            | ( c3_1 @ X32 ) ) )
      | hskp20 )
    & ( ! [X33: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X33 )
            | ( c0_1 @ X33 )
            | ( c2_1 @ X33 ) ) )
      | hskp21
      | ! [X34: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X34 )
            | ( c2_1 @ X34 )
            | ( c3_1 @ X34 ) ) ) )
    & ( ! [X35: $i] :
          ( ndr1_0
         => ( ~ ( c2_1 @ X35 )
            | ( c0_1 @ X35 )
            | ( c3_1 @ X35 ) ) )
      | hskp22
      | ! [X36: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X36 )
            | ~ ( c0_1 @ X36 )
            | ( c2_1 @ X36 ) ) ) )
    & ( hskp23
      | hskp64
      | hskp65 )
    & ( hskp61
      | hskp24
      | ! [X37: $i] :
          ( ndr1_0
         => ( ~ ( c3_1 @ X37 )
            | ( c1_1 @ X37 )
            | ( c0_1 @ X37 ) ) ) )
    & ( hskp25
      | ! [X38: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X38 )
            | ( c0_1 @ X38 )
            | ( c3_1 @ X38 ) ) )
      | ! [X39: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X39 )
            | ~ ( c3_1 @ X39 )
            | ( c0_1 @ X39 ) ) ) )
    & ( ! [X40: $i] :
          ( ndr1_0
         => ( ~ ( c2_1 @ X40 )
            | ~ ( c3_1 @ X40 )
            | ~ ( c0_1 @ X40 ) ) )
      | hskp26
      | ! [X41: $i] :
          ( ndr1_0
         => ( ~ ( c2_1 @ X41 )
            | ~ ( c3_1 @ X41 )
            | ( c1_1 @ X41 ) ) ) )
    & ( hskp66
      | hskp27
      | hskp28 )
    & ( hskp29
      | hskp52
      | hskp53 )
    & ( ! [X42: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X42 )
            | ~ ( c1_1 @ X42 )
            | ( c2_1 @ X42 ) ) )
      | ! [X43: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X43 )
            | ~ ( c3_1 @ X43 )
            | ( c1_1 @ X43 ) ) )
      | hskp30 )
    & ( hskp63
      | hskp31
      | hskp32 )
    & ( ! [X44: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X44 )
            | ~ ( c3_1 @ X44 )
            | ~ ( c2_1 @ X44 ) ) )
      | ! [X45: $i] :
          ( ndr1_0
         => ( ~ ( c3_1 @ X45 )
            | ~ ( c0_1 @ X45 )
            | ( c1_1 @ X45 ) ) )
      | hskp67 )
    & ( ! [X46: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X46 )
            | ~ ( c0_1 @ X46 )
            | ~ ( c3_1 @ X46 ) ) )
      | hskp61
      | hskp33 )
    & ( hskp34
      | ! [X47: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X47 )
            | ~ ( c3_1 @ X47 )
            | ( c2_1 @ X47 ) ) )
      | ! [X48: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X48 )
            | ~ ( c0_1 @ X48 )
            | ~ ( c2_1 @ X48 ) ) ) )
    & ( hskp35
      | hskp68
      | ! [X49: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X49 )
            | ~ ( c1_1 @ X49 )
            | ( c2_1 @ X49 ) ) ) )
    & ( ! [X50: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X50 )
            | ~ ( c1_1 @ X50 )
            | ~ ( c3_1 @ X50 ) ) )
      | ! [X51: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X51 )
            | ~ ( c0_1 @ X51 )
            | ~ ( c3_1 @ X51 ) ) )
      | hskp13 )
    & ( hskp69
      | ! [X52: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X52 )
            | ( c2_1 @ X52 )
            | ( c3_1 @ X52 ) ) )
      | ! [X53: $i] :
          ( ndr1_0
         => ( ~ ( c3_1 @ X53 )
            | ( c0_1 @ X53 )
            | ( c1_1 @ X53 ) ) ) )
    & ( hskp70
      | ! [X54: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X54 )
            | ( c0_1 @ X54 )
            | ~ ( c2_1 @ X54 ) ) )
      | ! [X55: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X55 )
            | ( c0_1 @ X55 )
            | ( c3_1 @ X55 ) ) ) )
    & ( ! [X56: $i] :
          ( ndr1_0
         => ( ~ ( c2_1 @ X56 )
            | ~ ( c1_1 @ X56 )
            | ~ ( c0_1 @ X56 ) ) )
      | ! [X57: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X57 )
            | ~ ( c1_1 @ X57 )
            | ~ ( c3_1 @ X57 ) ) )
      | hskp0 )
    & ( ! [X58: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X58 )
            | ~ ( c1_1 @ X58 )
            | ( c0_1 @ X58 ) ) )
      | hskp36
      | hskp71 )
    & ( ! [X59: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X59 )
            | ( c1_1 @ X59 )
            | ( c3_1 @ X59 ) ) )
      | ! [X60: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X60 )
            | ( c2_1 @ X60 )
            | ( c0_1 @ X60 ) ) )
      | ! [X61: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X61 )
            | ~ ( c0_1 @ X61 )
            | ~ ( c2_1 @ X61 ) ) ) )
    & ( hskp37
      | ! [X62: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X62 )
            | ( c0_1 @ X62 )
            | ( c2_1 @ X62 ) ) )
      | hskp72 )
    & ( hskp73
      | ! [X63: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X63 )
            | ~ ( c3_1 @ X63 )
            | ( c0_1 @ X63 ) ) )
      | ! [X64: $i] :
          ( ndr1_0
         => ( ~ ( c3_1 @ X64 )
            | ~ ( c2_1 @ X64 )
            | ( c1_1 @ X64 ) ) ) )
    & ( hskp74
      | hskp38
      | ! [X65: $i] :
          ( ndr1_0
         => ( ~ ( c3_1 @ X65 )
            | ~ ( c2_1 @ X65 )
            | ~ ( c0_1 @ X65 ) ) ) )
    & ( ! [X66: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X66 )
            | ~ ( c0_1 @ X66 )
            | ~ ( c3_1 @ X66 ) ) )
      | hskp47
      | ! [X67: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X67 )
            | ( c3_1 @ X67 )
            | ( c2_1 @ X67 ) ) ) )
    & ( ! [X68: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X68 )
            | ( c2_1 @ X68 )
            | ~ ( c3_1 @ X68 ) ) )
      | ! [X69: $i] :
          ( ndr1_0
         => ( ~ ( c3_1 @ X69 )
            | ~ ( c0_1 @ X69 )
            | ~ ( c1_1 @ X69 ) ) )
      | ! [X70: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X70 )
            | ( c2_1 @ X70 )
            | ( c1_1 @ X70 ) ) ) )
    & ( ! [X71: $i] :
          ( ndr1_0
         => ( ~ ( c2_1 @ X71 )
            | ( c1_1 @ X71 )
            | ( c3_1 @ X71 ) ) )
      | hskp57
      | ! [X72: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X72 )
            | ( c3_1 @ X72 )
            | ~ ( c0_1 @ X72 ) ) ) )
    & ( hskp39
      | ! [X73: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X73 )
            | ~ ( c3_1 @ X73 )
            | ~ ( c2_1 @ X73 ) ) )
      | ! [X74: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X74 )
            | ~ ( c0_1 @ X74 )
            | ~ ( c3_1 @ X74 ) ) ) )
    & ( ! [X75: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X75 )
            | ( c1_1 @ X75 )
            | ~ ( c3_1 @ X75 ) ) )
      | hskp29
      | ! [X76: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X76 )
            | ( c1_1 @ X76 )
            | ~ ( c3_1 @ X76 ) ) ) )
    & ( hskp61
      | ! [X77: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X77 )
            | ~ ( c0_1 @ X77 )
            | ~ ( c1_1 @ X77 ) ) )
      | ! [X78: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X78 )
            | ( c2_1 @ X78 )
            | ( c3_1 @ X78 ) ) ) )
    & ( ! [X79: $i] :
          ( ndr1_0
         => ( ~ ( c2_1 @ X79 )
            | ( c3_1 @ X79 )
            | ~ ( c1_1 @ X79 ) ) )
      | hskp75
      | ! [X80: $i] :
          ( ndr1_0
         => ( ~ ( c3_1 @ X80 )
            | ( c1_1 @ X80 )
            | ( c2_1 @ X80 ) ) ) )
    & ( ! [X81: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X81 )
            | ~ ( c2_1 @ X81 )
            | ( c3_1 @ X81 ) ) )
      | hskp40
      | ! [X82: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X82 )
            | ~ ( c1_1 @ X82 )
            | ~ ( c3_1 @ X82 ) ) ) )
    & ( ! [X83: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X83 )
            | ~ ( c1_1 @ X83 )
            | ( c0_1 @ X83 ) ) )
      | hskp41
      | hskp30 ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl173,plain,
    ( ~ hskp47
    | ~ ( c1_1 @ a1644 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl822,plain,
    ( ~ ( c1_1 @ a1644 )
   <= ~ ( c1_1 @ a1644 ) ),
    inference(split,[status(esa)],[zip_derived_cl173]) ).

thf(zip_derived_cl10,plain,
    ! [X19: $i,X20: $i] :
      ( hskp73
      | ~ ( c1_1 @ X19 )
      | ~ ( c3_1 @ X19 )
      | ( c0_1 @ X19 )
      | ~ ndr1_0
      | ~ ( c3_1 @ X20 )
      | ~ ( c2_1 @ X20 )
      | ( c1_1 @ X20 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl404,plain,
    ( ! [X20: $i] :
        ( ~ ( c3_1 @ X20 )
        | ~ ( c2_1 @ X20 )
        | ( c1_1 @ X20 ) )
   <= ! [X20: $i] :
        ( ~ ( c3_1 @ X20 )
        | ~ ( c2_1 @ X20 )
        | ( c1_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl2496,plain,
    ( ( ~ ( c3_1 @ a1644 )
      | ~ ( c2_1 @ a1644 ) )
   <= ( ~ ( c1_1 @ a1644 )
      & ! [X20: $i] :
          ( ~ ( c3_1 @ X20 )
          | ~ ( c2_1 @ X20 )
          | ( c1_1 @ X20 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl822,zip_derived_cl404]) ).

thf('0',plain,
    ( ~ ( c2_1 @ a1644 )
    | ( c1_1 @ a1644 )
    | ~ ! [X20: $i] :
          ( ~ ( c3_1 @ X20 )
          | ~ ( c2_1 @ X20 )
          | ( c1_1 @ X20 ) )
    | ~ ( c3_1 @ a1644 ) ),
    inference(split,[status(esa)],[zip_derived_cl2496]) ).

thf(zip_derived_cl822_001,plain,
    ( ~ ( c1_1 @ a1644 )
   <= ~ ( c1_1 @ a1644 ) ),
    inference(split,[status(esa)],[zip_derived_cl173]) ).

thf(zip_derived_cl2,plain,
    ! [X3: $i,X4: $i] :
      ( ~ ( c2_1 @ X3 )
      | ( c3_1 @ X3 )
      | ~ ( c1_1 @ X3 )
      | ~ ndr1_0
      | hskp75
      | ~ ( c3_1 @ X4 )
      | ( c1_1 @ X4 )
      | ( c2_1 @ X4 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl372,plain,
    ( ! [X4: $i] :
        ( ~ ( c3_1 @ X4 )
        | ( c1_1 @ X4 )
        | ( c2_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ~ ( c3_1 @ X4 )
        | ( c1_1 @ X4 )
        | ( c2_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl2492,plain,
    ( ( ~ ( c3_1 @ a1644 )
      | ( c2_1 @ a1644 ) )
   <= ( ~ ( c1_1 @ a1644 )
      & ! [X4: $i] :
          ( ~ ( c3_1 @ X4 )
          | ( c1_1 @ X4 )
          | ( c2_1 @ X4 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl822,zip_derived_cl372]) ).

thf('1',plain,
    ( ~ ! [X4: $i] :
          ( ~ ( c3_1 @ X4 )
          | ( c1_1 @ X4 )
          | ( c2_1 @ X4 ) )
    | ( c2_1 @ a1644 )
    | ( c1_1 @ a1644 )
    | ~ ( c3_1 @ a1644 ) ),
    inference(split,[status(esa)],[zip_derived_cl2492]) ).

thf(zip_derived_cl117,plain,
    ( ~ hskp61
    | ~ ( c1_1 @ a1674 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl710,plain,
    ( ~ ( c1_1 @ a1674 )
   <= ~ ( c1_1 @ a1674 ) ),
    inference(split,[status(esa)],[zip_derived_cl117]) ).

thf(zip_derived_cl7,plain,
    ! [X13: $i,X14: $i,X15: $i] :
      ( ( c1_1 @ X13 )
      | ( c2_1 @ X13 )
      | ~ ( c3_1 @ X13 )
      | ~ ndr1_0
      | ~ ( c3_1 @ X14 )
      | ~ ( c0_1 @ X14 )
      | ~ ( c1_1 @ X14 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X15 )
      | ( c2_1 @ X15 )
      | ( c1_1 @ X15 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl392,plain,
    ( ! [X15: $i] :
        ( ~ ( c0_1 @ X15 )
        | ( c2_1 @ X15 )
        | ( c1_1 @ X15 ) )
   <= ! [X15: $i] :
        ( ~ ( c0_1 @ X15 )
        | ( c2_1 @ X15 )
        | ( c1_1 @ X15 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl2281,plain,
    ( ( ~ ( c0_1 @ a1674 )
      | ( c2_1 @ a1674 ) )
   <= ( ~ ( c1_1 @ a1674 )
      & ! [X15: $i] :
          ( ~ ( c0_1 @ X15 )
          | ( c2_1 @ X15 )
          | ( c1_1 @ X15 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl710,zip_derived_cl392]) ).

thf('2',plain,
    ( ~ ( c0_1 @ a1674 )
    | ~ ! [X15: $i] :
          ( ~ ( c0_1 @ X15 )
          | ( c2_1 @ X15 )
          | ( c1_1 @ X15 ) )
    | ( c2_1 @ a1674 )
    | ( c1_1 @ a1674 ) ),
    inference(split,[status(esa)],[zip_derived_cl2281]) ).

thf(zip_derived_cl404_002,plain,
    ( ! [X20: $i] :
        ( ~ ( c3_1 @ X20 )
        | ~ ( c2_1 @ X20 )
        | ( c1_1 @ X20 ) )
   <= ! [X20: $i] :
        ( ~ ( c3_1 @ X20 )
        | ~ ( c2_1 @ X20 )
        | ( c1_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl1,plain,
    ! [X1: $i,X2: $i] :
      ( ( c1_1 @ X1 )
      | ~ ( c2_1 @ X1 )
      | ( c3_1 @ X1 )
      | ~ ndr1_0
      | hskp40
      | ~ ( c0_1 @ X2 )
      | ~ ( c1_1 @ X2 )
      | ~ ( c3_1 @ X2 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl368,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl1334,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ! [X20: $i] :
          ( ~ ( c3_1 @ X20 )
          | ~ ( c2_1 @ X20 )
          | ( c1_1 @ X20 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl404,zip_derived_cl368]) ).

thf(zip_derived_cl1337,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ! [X20: $i] :
          ( ~ ( c3_1 @ X20 )
          | ~ ( c2_1 @ X20 )
          | ( c1_1 @ X20 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1334]) ).

thf(zip_derived_cl154,plain,
    ( ~ hskp52
    | ( c2_1 @ a1654 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl784,plain,
    ( ( c2_1 @ a1654 )
   <= ( c2_1 @ a1654 ) ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl7412,plain,
    ( ( ~ ( c3_1 @ a1654 )
      | ~ ( c0_1 @ a1654 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ! [X20: $i] :
          ( ~ ( c3_1 @ X20 )
          | ~ ( c2_1 @ X20 )
          | ( c1_1 @ X20 ) )
      & ( c2_1 @ a1654 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1337,zip_derived_cl784]) ).

thf('3',plain,
    ( ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ~ ( c0_1 @ a1654 )
    | ~ ! [X20: $i] :
          ( ~ ( c3_1 @ X20 )
          | ~ ( c2_1 @ X20 )
          | ( c1_1 @ X20 ) )
    | ~ ( c3_1 @ a1654 )
    | ~ ( c2_1 @ a1654 ) ),
    inference(split,[status(esa)],[zip_derived_cl7412]) ).

thf(zip_derived_cl327,plain,
    ( ~ hskp9
    | ~ ( c1_1 @ a1660 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1130,plain,
    ( ~ ( c1_1 @ a1660 )
   <= ~ ( c1_1 @ a1660 ) ),
    inference(split,[status(esa)],[zip_derived_cl327]) ).

thf(zip_derived_cl12,plain,
    ! [X22: $i,X23: $i,X24: $i] :
      ( ( c2_1 @ X22 )
      | ( c1_1 @ X22 )
      | ( c3_1 @ X22 )
      | ~ ndr1_0
      | ( c1_1 @ X23 )
      | ( c2_1 @ X23 )
      | ( c0_1 @ X23 )
      | ~ ndr1_0
      | ( c3_1 @ X24 )
      | ~ ( c0_1 @ X24 )
      | ~ ( c2_1 @ X24 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl413,plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ( c2_1 @ X23 )
        | ( c0_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ( c2_1 @ X23 )
        | ( c0_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl3507,plain,
    ( ( ( c2_1 @ a1660 )
      | ( c0_1 @ a1660 ) )
   <= ( ~ ( c1_1 @ a1660 )
      & ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ( c2_1 @ X23 )
          | ( c0_1 @ X23 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1130,zip_derived_cl413]) ).

thf('4',plain,
    ( ( c2_1 @ a1660 )
    | ( c0_1 @ a1660 )
    | ~ ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ( c2_1 @ X23 )
          | ( c0_1 @ X23 ) )
    | ( c1_1 @ a1660 ) ),
    inference(split,[status(esa)],[zip_derived_cl3507]) ).

thf(zip_derived_cl325,plain,
    ( ~ hskp9
    | ~ ( c3_1 @ a1660 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('5',plain,
    ( ~ ( c3_1 @ a1660 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl325]) ).

thf(zip_derived_cl326,plain,
    ( ~ hskp9
    | ~ ( c0_1 @ a1660 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('6',plain,
    ( ~ ( c0_1 @ a1660 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl326]) ).

thf('7',plain,
    ( ~ ( c1_1 @ a1660 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl327]) ).

thf(zip_derived_cl46,plain,
    ! [X72: $i] :
      ( hskp9
      | hskp55
      | ~ ( c0_1 @ X72 )
      | ~ ( c2_1 @ X72 )
      | ( c3_1 @ X72 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('8',plain,
    ( hskp9
    | hskp55
    | ~ ndr1_0
    | ! [X24: $i] :
        ( ( c3_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c2_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl141,plain,
    ( ~ hskp55
    | ~ ( c2_1 @ a1661 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('9',plain,
    ( ~ hskp55
    | ~ ( c2_1 @ a1661 ) ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf(zip_derived_cl142,plain,
    ( ~ hskp55
    | ~ ( c3_1 @ a1661 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('10',plain,
    ( ~ hskp55
    | ~ ( c3_1 @ a1661 ) ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf(zip_derived_cl143,plain,
    ( ~ hskp55
    | ( c1_1 @ a1661 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('11',plain,
    ( ~ hskp55
    | ( c1_1 @ a1661 ) ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(zip_derived_cl762,plain,
    ( ( c1_1 @ a1661 )
   <= ( c1_1 @ a1661 ) ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(zip_derived_cl16,plain,
    ! [X30: $i,X31: $i] :
      ( hskp69
      | ~ ( c1_1 @ X30 )
      | ( c2_1 @ X30 )
      | ( c3_1 @ X30 )
      | ~ ndr1_0
      | ~ ( c3_1 @ X31 )
      | ( c0_1 @ X31 )
      | ( c1_1 @ X31 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl429,plain,
    ( ! [X30: $i] :
        ( ~ ( c1_1 @ X30 )
        | ( c2_1 @ X30 )
        | ( c3_1 @ X30 ) )
   <= ! [X30: $i] :
        ( ~ ( c1_1 @ X30 )
        | ( c2_1 @ X30 )
        | ( c3_1 @ X30 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl5238,plain,
    ( ( ( c2_1 @ a1661 )
      | ( c3_1 @ a1661 ) )
   <= ( ! [X30: $i] :
          ( ~ ( c1_1 @ X30 )
          | ( c2_1 @ X30 )
          | ( c3_1 @ X30 ) )
      & ( c1_1 @ a1661 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl762,zip_derived_cl429]) ).

thf('12',plain,
    ( ( c2_1 @ a1661 )
    | ~ ( c1_1 @ a1661 )
    | ~ ! [X30: $i] :
          ( ~ ( c1_1 @ X30 )
          | ( c2_1 @ X30 )
          | ( c3_1 @ X30 ) )
    | ( c3_1 @ a1661 ) ),
    inference(split,[status(esa)],[zip_derived_cl5238]) ).

thf('13',plain,
    ( ! [X30: $i] :
        ( ~ ( c1_1 @ X30 )
        | ( c2_1 @ X30 )
        | ( c3_1 @ X30 ) )
    | hskp69
    | ~ ndr1_0
    | ! [X7: $i] :
        ( ( c0_1 @ X7 )
        | ( c1_1 @ X7 )
        | ~ ( c3_1 @ X7 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl129,plain,
    ( ~ hskp58
    | ~ ( c0_1 @ a1668 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('14',plain,
    ( ~ ( c0_1 @ a1668 )
    | ~ hskp58 ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf(zip_derived_cl130,plain,
    ( ~ hskp58
    | ~ ( c1_1 @ a1668 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('15',plain,
    ( ~ ( c1_1 @ a1668 )
    | ~ hskp58 ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(zip_derived_cl131,plain,
    ( ~ hskp58
    | ( c3_1 @ a1668 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('16',plain,
    ( ( c3_1 @ a1668 )
    | ~ hskp58 ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf(zip_derived_cl736,plain,
    ( ~ ( c1_1 @ a1668 )
   <= ~ ( c1_1 @ a1668 ) ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(zip_derived_cl4,plain,
    ! [X7: $i,X8: $i] :
      ( ( c0_1 @ X7 )
      | ( c1_1 @ X7 )
      | ~ ( c3_1 @ X7 )
      | ~ ndr1_0
      | hskp29
      | ~ ( c0_1 @ X8 )
      | ( c1_1 @ X8 )
      | ~ ( c3_1 @ X8 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl381,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_cl4]) ).

thf(zip_derived_cl2363,plain,
    ( ( ( c0_1 @ a1668 )
      | ~ ( c3_1 @ a1668 ) )
   <= ( ~ ( c1_1 @ a1668 )
      & ! [X7: $i] :
          ( ( c0_1 @ X7 )
          | ( c1_1 @ X7 )
          | ~ ( c3_1 @ X7 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl736,zip_derived_cl381]) ).

thf('17',plain,
    ( ~ ! [X7: $i] :
          ( ( c0_1 @ X7 )
          | ( c1_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
    | ( c0_1 @ a1668 )
    | ( c1_1 @ a1668 )
    | ~ ( c3_1 @ a1668 ) ),
    inference(split,[status(esa)],[zip_derived_cl2363]) ).

thf(zip_derived_cl41,plain,
    ! [X65: $i] :
      ( hskp58
      | hskp59
      | ( c1_1 @ X65 )
      | ~ ( c0_1 @ X65 )
      | ( c2_1 @ X65 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('18',plain,
    ( hskp58
    | hskp59
    | ~ ndr1_0
    | ! [X15: $i] :
        ( ~ ( c0_1 @ X15 )
        | ( c2_1 @ X15 )
        | ( c1_1 @ X15 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl125,plain,
    ( ~ hskp59
    | ( c3_1 @ a1669 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('19',plain,
    ( ( c3_1 @ a1669 )
    | ~ hskp59 ),
    inference(split,[status(esa)],[zip_derived_cl125]) ).

thf(zip_derived_cl126,plain,
    ( ~ hskp59
    | ~ ( c2_1 @ a1669 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('20',plain,
    ( ~ ( c2_1 @ a1669 )
    | ~ hskp59 ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl127,plain,
    ( ~ hskp59
    | ( c0_1 @ a1669 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('21',plain,
    ( ( c0_1 @ a1669 )
    | ~ hskp59 ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl728,plain,
    ( ~ ( c2_1 @ a1669 )
   <= ~ ( c2_1 @ a1669 ) ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl5,plain,
    ! [X9: $i,X10: $i] :
      ( hskp39
      | ( c0_1 @ X9 )
      | ~ ( c3_1 @ X9 )
      | ~ ( c2_1 @ X9 )
      | ~ ndr1_0
      | ( c2_1 @ X10 )
      | ~ ( c0_1 @ X10 )
      | ~ ( c3_1 @ X10 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl384,plain,
    ( ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c3_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c3_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl2337,plain,
    ( ( ~ ( c0_1 @ a1669 )
      | ~ ( c3_1 @ a1669 ) )
   <= ( ~ ( c2_1 @ a1669 )
      & ! [X10: $i] :
          ( ( c2_1 @ X10 )
          | ~ ( c0_1 @ X10 )
          | ~ ( c3_1 @ X10 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl728,zip_derived_cl384]) ).

thf('22',plain,
    ( ( c2_1 @ a1669 )
    | ~ ( c0_1 @ a1669 )
    | ~ ! [X10: $i] :
          ( ( c2_1 @ X10 )
          | ~ ( c0_1 @ X10 )
          | ~ ( c3_1 @ X10 ) )
    | ~ ( c3_1 @ a1669 ) ),
    inference(split,[status(esa)],[zip_derived_cl2337]) ).

thf(zip_derived_cl85,plain,
    ( ~ hskp69
    | ~ ( c1_1 @ a1709 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('23',plain,
    ( ~ hskp69
    | ~ ( c1_1 @ a1709 ) ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf(zip_derived_cl86,plain,
    ( ~ hskp69
    | ( c0_1 @ a1709 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('24',plain,
    ( ( c0_1 @ a1709 )
    | ~ hskp69 ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf(zip_derived_cl87,plain,
    ( ~ hskp69
    | ( c3_1 @ a1709 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('25',plain,
    ( ~ hskp69
    | ( c3_1 @ a1709 ) ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl646,plain,
    ( ~ ( c1_1 @ a1709 )
   <= ~ ( c1_1 @ a1709 ) ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf(zip_derived_cl380,plain,
    ( ! [X8: $i] :
        ( ~ ( c0_1 @ X8 )
        | ( c1_1 @ X8 )
        | ~ ( c3_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ~ ( c0_1 @ X8 )
        | ( c1_1 @ X8 )
        | ~ ( c3_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf(zip_derived_cl2134,plain,
    ( ( ~ ( c0_1 @ a1709 )
      | ~ ( c3_1 @ a1709 ) )
   <= ( ~ ( c1_1 @ a1709 )
      & ! [X8: $i] :
          ( ~ ( c0_1 @ X8 )
          | ( c1_1 @ X8 )
          | ~ ( c3_1 @ X8 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl646,zip_derived_cl380]) ).

thf('26',plain,
    ( ( c1_1 @ a1709 )
    | ~ ( c0_1 @ a1709 )
    | ~ ! [X8: $i] :
          ( ~ ( c0_1 @ X8 )
          | ( c1_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
    | ~ ( c3_1 @ a1709 ) ),
    inference(split,[status(esa)],[zip_derived_cl2134]) ).

thf(zip_derived_cl258,plain,
    ( ~ hskp26
    | ~ ( c1_1 @ a1691 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl992,plain,
    ( ~ ( c1_1 @ a1691 )
   <= ~ ( c1_1 @ a1691 ) ),
    inference(split,[status(esa)],[zip_derived_cl258]) ).

thf(zip_derived_cl413_003,plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ( c2_1 @ X23 )
        | ( c0_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ( c2_1 @ X23 )
        | ( c0_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl2922,plain,
    ( ( ( c2_1 @ a1691 )
      | ( c0_1 @ a1691 ) )
   <= ( ~ ( c1_1 @ a1691 )
      & ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ( c2_1 @ X23 )
          | ( c0_1 @ X23 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl992,zip_derived_cl413]) ).

thf('27',plain,
    ( ( c0_1 @ a1691 )
    | ~ ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ( c2_1 @ X23 )
          | ( c0_1 @ X23 ) )
    | ( c2_1 @ a1691 )
    | ( c1_1 @ a1691 ) ),
    inference(split,[status(esa)],[zip_derived_cl2922]) ).

thf(zip_derived_cl992_004,plain,
    ( ~ ( c1_1 @ a1691 )
   <= ~ ( c1_1 @ a1691 ) ),
    inference(split,[status(esa)],[zip_derived_cl258]) ).

thf(zip_derived_cl414,plain,
    ( ! [X22: $i] :
        ( ( c2_1 @ X22 )
        | ( c1_1 @ X22 )
        | ( c3_1 @ X22 ) )
   <= ! [X22: $i] :
        ( ( c2_1 @ X22 )
        | ( c1_1 @ X22 )
        | ( c3_1 @ X22 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl2921,plain,
    ( ( ( c2_1 @ a1691 )
      | ( c3_1 @ a1691 ) )
   <= ( ~ ( c1_1 @ a1691 )
      & ! [X22: $i] :
          ( ( c2_1 @ X22 )
          | ( c1_1 @ X22 )
          | ( c3_1 @ X22 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl992,zip_derived_cl414]) ).

thf('28',plain,
    ( ~ ! [X22: $i] :
          ( ( c2_1 @ X22 )
          | ( c1_1 @ X22 )
          | ( c3_1 @ X22 ) )
    | ( c1_1 @ a1691 )
    | ( c2_1 @ a1691 )
    | ( c3_1 @ a1691 ) ),
    inference(split,[status(esa)],[zip_derived_cl2921]) ).

thf(zip_derived_cl311,plain,
    ( ~ hskp13
    | ~ ( c1_1 @ a1667 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1098,plain,
    ( ~ ( c1_1 @ a1667 )
   <= ~ ( c1_1 @ a1667 ) ),
    inference(split,[status(esa)],[zip_derived_cl311]) ).

thf(zip_derived_cl372_005,plain,
    ( ! [X4: $i] :
        ( ~ ( c3_1 @ X4 )
        | ( c1_1 @ X4 )
        | ( c2_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ~ ( c3_1 @ X4 )
        | ( c1_1 @ X4 )
        | ( c2_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl3375,plain,
    ( ( ~ ( c3_1 @ a1667 )
      | ( c2_1 @ a1667 ) )
   <= ( ~ ( c1_1 @ a1667 )
      & ! [X4: $i] :
          ( ~ ( c3_1 @ X4 )
          | ( c1_1 @ X4 )
          | ( c2_1 @ X4 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1098,zip_derived_cl372]) ).

thf(zip_derived_cl21034,plain,
    ( ( c2_1 @ a1667 )
   <= ( c2_1 @ a1667 ) ),
    inference(split,[status(esa)],[zip_derived_cl3375]) ).

thf(zip_derived_cl9,plain,
    ! [X18: $i] :
      ( hskp74
      | hskp38
      | ~ ( c3_1 @ X18 )
      | ~ ( c2_1 @ X18 )
      | ~ ( c0_1 @ X18 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl400,plain,
    ( ! [X18: $i] :
        ( ~ ( c3_1 @ X18 )
        | ~ ( c2_1 @ X18 )
        | ~ ( c0_1 @ X18 ) )
   <= ! [X18: $i] :
        ( ~ ( c3_1 @ X18 )
        | ~ ( c2_1 @ X18 )
        | ~ ( c0_1 @ X18 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl21058,plain,
    ( ( ~ ( c3_1 @ a1667 )
      | ~ ( c0_1 @ a1667 ) )
   <= ( ! [X18: $i] :
          ( ~ ( c3_1 @ X18 )
          | ~ ( c2_1 @ X18 )
          | ~ ( c0_1 @ X18 ) )
      & ( c2_1 @ a1667 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl21034,zip_derived_cl400]) ).

thf('29',plain,
    ( ~ ( c2_1 @ a1667 )
    | ~ ( c0_1 @ a1667 )
    | ~ ! [X18: $i] :
          ( ~ ( c3_1 @ X18 )
          | ~ ( c2_1 @ X18 )
          | ~ ( c0_1 @ X18 ) )
    | ~ ( c3_1 @ a1667 ) ),
    inference(split,[status(esa)],[zip_derived_cl21058]) ).

thf(zip_derived_cl361,plain,
    ( ~ hskp0
    | ( c1_1 @ a1637 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1198,plain,
    ( ( c1_1 @ a1637 )
   <= ( c1_1 @ a1637 ) ),
    inference(split,[status(esa)],[zip_derived_cl361]) ).

thf(zip_derived_cl32,plain,
    ! [X51: $i] :
      ( hskp19
      | ~ ( c0_1 @ X51 )
      | ~ ( c1_1 @ X51 )
      | ( c3_1 @ X51 )
      | ~ ndr1_0
      | hskp20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl488,plain,
    ( ! [X51: $i] :
        ( ~ ( c0_1 @ X51 )
        | ~ ( c1_1 @ X51 )
        | ( c3_1 @ X51 ) )
   <= ! [X51: $i] :
        ( ~ ( c0_1 @ X51 )
        | ~ ( c1_1 @ X51 )
        | ( c3_1 @ X51 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl7325,plain,
    ( ( ~ ( c0_1 @ a1637 )
      | ( c3_1 @ a1637 ) )
   <= ( ! [X51: $i] :
          ( ~ ( c0_1 @ X51 )
          | ~ ( c1_1 @ X51 )
          | ( c3_1 @ X51 ) )
      & ( c1_1 @ a1637 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1198,zip_derived_cl488]) ).

thf('30',plain,
    ( ( c3_1 @ a1637 )
    | ~ ( c1_1 @ a1637 )
    | ~ ! [X51: $i] :
          ( ~ ( c0_1 @ X51 )
          | ~ ( c1_1 @ X51 )
          | ( c3_1 @ X51 ) )
    | ~ ( c0_1 @ a1637 ) ),
    inference(split,[status(esa)],[zip_derived_cl7325]) ).

thf(zip_derived_cl710_006,plain,
    ( ~ ( c1_1 @ a1674 )
   <= ~ ( c1_1 @ a1674 ) ),
    inference(split,[status(esa)],[zip_derived_cl117]) ).

thf(zip_derived_cl413_007,plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ( c2_1 @ X23 )
        | ( c0_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ( c2_1 @ X23 )
        | ( c0_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl2284,plain,
    ( ( ( c2_1 @ a1674 )
      | ( c0_1 @ a1674 ) )
   <= ( ~ ( c1_1 @ a1674 )
      & ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ( c2_1 @ X23 )
          | ( c0_1 @ X23 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl710,zip_derived_cl413]) ).

thf('31',plain,
    ( ( c0_1 @ a1674 )
    | ~ ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ( c2_1 @ X23 )
          | ( c0_1 @ X23 ) )
    | ( c2_1 @ a1674 )
    | ( c1_1 @ a1674 ) ),
    inference(split,[status(esa)],[zip_derived_cl2284]) ).

thf(zip_derived_cl20,plain,
    ! [X37: $i] :
      ( ( c2_1 @ X37 )
      | ~ ( c0_1 @ X37 )
      | ~ ( c3_1 @ X37 )
      | ~ ndr1_0
      | hskp61
      | hskp33 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('32',plain,
    ( hskp33
    | ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c3_1 @ X10 ) )
    | ~ ndr1_0
    | hskp61 ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl229,plain,
    ( ~ hskp33
    | ( c3_1 @ a1704 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('33',plain,
    ( ( c3_1 @ a1704 )
    | ~ hskp33 ),
    inference(split,[status(esa)],[zip_derived_cl229]) ).

thf(zip_derived_cl230,plain,
    ( ~ hskp33
    | ~ ( c0_1 @ a1704 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('34',plain,
    ( ~ ( c0_1 @ a1704 )
    | ~ hskp33 ),
    inference(split,[status(esa)],[zip_derived_cl230]) ).

thf(zip_derived_cl231,plain,
    ( ~ hskp33
    | ~ ( c2_1 @ a1704 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('35',plain,
    ( ~ ( c2_1 @ a1704 )
    | ~ hskp33 ),
    inference(split,[status(esa)],[zip_derived_cl231]) ).

thf(zip_derived_cl938,plain,
    ( ~ ( c2_1 @ a1704 )
   <= ~ ( c2_1 @ a1704 ) ),
    inference(split,[status(esa)],[zip_derived_cl231]) ).

thf(zip_derived_cl39,plain,
    ! [X62: $i,X63: $i,X64: $i] :
      ( ~ ( c2_1 @ X62 )
      | ( c1_1 @ X62 )
      | ~ ( c3_1 @ X62 )
      | ~ ndr1_0
      | ~ ( c3_1 @ X63 )
      | ( c2_1 @ X63 )
      | ( c0_1 @ X63 )
      | ~ ndr1_0
      | ( c2_1 @ X64 )
      | ~ ( c0_1 @ X64 )
      | ~ ( c3_1 @ X64 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl516,plain,
    ( ! [X63: $i] :
        ( ~ ( c3_1 @ X63 )
        | ( c2_1 @ X63 )
        | ( c0_1 @ X63 ) )
   <= ! [X63: $i] :
        ( ~ ( c3_1 @ X63 )
        | ( c2_1 @ X63 )
        | ( c0_1 @ X63 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl2832,plain,
    ( ( ~ ( c3_1 @ a1704 )
      | ( c0_1 @ a1704 ) )
   <= ( ~ ( c2_1 @ a1704 )
      & ! [X63: $i] :
          ( ~ ( c3_1 @ X63 )
          | ( c2_1 @ X63 )
          | ( c0_1 @ X63 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl938,zip_derived_cl516]) ).

thf('36',plain,
    ( ~ ! [X63: $i] :
          ( ~ ( c3_1 @ X63 )
          | ( c2_1 @ X63 )
          | ( c0_1 @ X63 ) )
    | ( c0_1 @ a1704 )
    | ( c2_1 @ a1704 )
    | ~ ( c3_1 @ a1704 ) ),
    inference(split,[status(esa)],[zip_derived_cl2832]) ).

thf(zip_derived_cl297,plain,
    ( ~ hskp16
    | ~ ( c0_1 @ a1677 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('37',plain,
    ( ~ ( c0_1 @ a1677 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl297]) ).

thf(zip_derived_cl298,plain,
    ( ~ hskp16
    | ~ ( c2_1 @ a1677 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('38',plain,
    ( ~ ( c2_1 @ a1677 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl298]) ).

thf(zip_derived_cl299,plain,
    ( ~ hskp16
    | ~ ( c1_1 @ a1677 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('39',plain,
    ( ~ ( c1_1 @ a1677 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl299]) ).

thf(zip_derived_cl1074,plain,
    ( ~ ( c1_1 @ a1677 )
   <= ~ ( c1_1 @ a1677 ) ),
    inference(split,[status(esa)],[zip_derived_cl299]) ).

thf(zip_derived_cl413_008,plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ( c2_1 @ X23 )
        | ( c0_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ( c2_1 @ X23 )
        | ( c0_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl3321,plain,
    ( ( ( c2_1 @ a1677 )
      | ( c0_1 @ a1677 ) )
   <= ( ~ ( c1_1 @ a1677 )
      & ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ( c2_1 @ X23 )
          | ( c0_1 @ X23 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1074,zip_derived_cl413]) ).

thf('40',plain,
    ( ( c0_1 @ a1677 )
    | ( c2_1 @ a1677 )
    | ~ ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ( c2_1 @ X23 )
          | ( c0_1 @ X23 ) )
    | ( c1_1 @ a1677 ) ),
    inference(split,[status(esa)],[zip_derived_cl3321]) ).

thf(zip_derived_cl293,plain,
    ( ~ hskp17
    | ~ ( c0_1 @ a1678 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('41',plain,
    ( ~ ( c0_1 @ a1678 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl293]) ).

thf(zip_derived_cl294,plain,
    ( ~ hskp17
    | ~ ( c1_1 @ a1678 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('42',plain,
    ( ~ ( c1_1 @ a1678 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl294]) ).

thf(zip_derived_cl295,plain,
    ( ~ hskp17
    | ~ ( c2_1 @ a1678 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('43',plain,
    ( ~ ( c2_1 @ a1678 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl295]) ).

thf(zip_derived_cl1064,plain,
    ( ~ ( c1_1 @ a1678 )
   <= ~ ( c1_1 @ a1678 ) ),
    inference(split,[status(esa)],[zip_derived_cl294]) ).

thf(zip_derived_cl413_009,plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ( c2_1 @ X23 )
        | ( c0_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ( c2_1 @ X23 )
        | ( c0_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl3259,plain,
    ( ( ( c2_1 @ a1678 )
      | ( c0_1 @ a1678 ) )
   <= ( ~ ( c1_1 @ a1678 )
      & ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ( c2_1 @ X23 )
          | ( c0_1 @ X23 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1064,zip_derived_cl413]) ).

thf('44',plain,
    ( ( c0_1 @ a1678 )
    | ( c1_1 @ a1678 )
    | ~ ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ( c2_1 @ X23 )
          | ( c0_1 @ X23 ) )
    | ( c2_1 @ a1678 ) ),
    inference(split,[status(esa)],[zip_derived_cl3259]) ).

thf(zip_derived_cl34,plain,
    ! [X53: $i] :
      ( ~ ( c0_1 @ X53 )
      | ( c1_1 @ X53 )
      | ~ ( c3_1 @ X53 )
      | ~ ndr1_0
      | hskp16
      | hskp17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('45',plain,
    ( hskp16
    | hskp17
    | ~ ndr1_0
    | ! [X8: $i] :
        ( ~ ( c0_1 @ X8 )
        | ( c1_1 @ X8 )
        | ~ ( c3_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl710_010,plain,
    ( ~ ( c1_1 @ a1674 )
   <= ~ ( c1_1 @ a1674 ) ),
    inference(split,[status(esa)],[zip_derived_cl117]) ).

thf(zip_derived_cl380_011,plain,
    ( ! [X8: $i] :
        ( ~ ( c0_1 @ X8 )
        | ( c1_1 @ X8 )
        | ~ ( c3_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ~ ( c0_1 @ X8 )
        | ( c1_1 @ X8 )
        | ~ ( c3_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf(zip_derived_cl2280,plain,
    ( ( ~ ( c0_1 @ a1674 )
      | ~ ( c3_1 @ a1674 ) )
   <= ( ~ ( c1_1 @ a1674 )
      & ! [X8: $i] :
          ( ~ ( c0_1 @ X8 )
          | ( c1_1 @ X8 )
          | ~ ( c3_1 @ X8 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl710,zip_derived_cl380]) ).

thf('46',plain,
    ( ~ ( c0_1 @ a1674 )
    | ~ ! [X8: $i] :
          ( ~ ( c0_1 @ X8 )
          | ( c1_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
    | ( c1_1 @ a1674 )
    | ~ ( c3_1 @ a1674 ) ),
    inference(split,[status(esa)],[zip_derived_cl2280]) ).

thf(zip_derived_cl334,plain,
    ( ~ hskp7
    | ( c0_1 @ a1655 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('47',plain,
    ( ( c0_1 @ a1655 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl334]) ).

thf(zip_derived_cl333,plain,
    ( ~ hskp7
    | ( c3_1 @ a1655 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('48',plain,
    ( ( c3_1 @ a1655 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl333]) ).

thf(zip_derived_cl335,plain,
    ( ~ hskp7
    | ~ ( c2_1 @ a1655 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('49',plain,
    ( ~ ( c2_1 @ a1655 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl335]) ).

thf(zip_derived_cl1146,plain,
    ( ~ ( c2_1 @ a1655 )
   <= ~ ( c2_1 @ a1655 ) ),
    inference(split,[status(esa)],[zip_derived_cl335]) ).

thf(zip_derived_cl384_012,plain,
    ( ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c3_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c3_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl3559,plain,
    ( ( ~ ( c0_1 @ a1655 )
      | ~ ( c3_1 @ a1655 ) )
   <= ( ~ ( c2_1 @ a1655 )
      & ! [X10: $i] :
          ( ( c2_1 @ X10 )
          | ~ ( c0_1 @ X10 )
          | ~ ( c3_1 @ X10 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1146,zip_derived_cl384]) ).

thf('50',plain,
    ( ~ ( c3_1 @ a1655 )
    | ( c2_1 @ a1655 )
    | ~ ! [X10: $i] :
          ( ( c2_1 @ X10 )
          | ~ ( c0_1 @ X10 )
          | ~ ( c3_1 @ X10 ) )
    | ~ ( c0_1 @ a1655 ) ),
    inference(split,[status(esa)],[zip_derived_cl3559]) ).

thf(zip_derived_cl50,plain,
    ! [X78: $i] :
      ( hskp52
      | ~ ( c2_1 @ X78 )
      | ~ ( c0_1 @ X78 )
      | ( c3_1 @ X78 )
      | ~ ndr1_0
      | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('51',plain,
    ( hskp52
    | hskp7
    | ~ ndr1_0
    | ! [X24: $i] :
        ( ( c3_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c2_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl1130_013,plain,
    ( ~ ( c1_1 @ a1660 )
   <= ~ ( c1_1 @ a1660 ) ),
    inference(split,[status(esa)],[zip_derived_cl327]) ).

thf(zip_derived_cl369,plain,
    ( ! [X1: $i] :
        ( ( c1_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ( c1_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl3500,plain,
    ( ( ~ ( c2_1 @ a1660 )
      | ( c3_1 @ a1660 ) )
   <= ( ~ ( c1_1 @ a1660 )
      & ! [X1: $i] :
          ( ( c1_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ( c3_1 @ X1 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1130,zip_derived_cl369]) ).

thf('52',plain,
    ( ~ ( c2_1 @ a1660 )
    | ( c3_1 @ a1660 )
    | ~ ! [X1: $i] :
          ( ( c1_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ( c3_1 @ X1 ) )
    | ( c1_1 @ a1660 ) ),
    inference(split,[status(esa)],[zip_derived_cl3500]) ).

thf(zip_derived_cl710_014,plain,
    ( ~ ( c1_1 @ a1674 )
   <= ~ ( c1_1 @ a1674 ) ),
    inference(split,[status(esa)],[zip_derived_cl117]) ).

thf(zip_derived_cl372_015,plain,
    ( ! [X4: $i] :
        ( ~ ( c3_1 @ X4 )
        | ( c1_1 @ X4 )
        | ( c2_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ~ ( c3_1 @ X4 )
        | ( c1_1 @ X4 )
        | ( c2_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl2278,plain,
    ( ( ~ ( c3_1 @ a1674 )
      | ( c2_1 @ a1674 ) )
   <= ( ~ ( c1_1 @ a1674 )
      & ! [X4: $i] :
          ( ~ ( c3_1 @ X4 )
          | ( c1_1 @ X4 )
          | ( c2_1 @ X4 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl710,zip_derived_cl372]) ).

thf('53',plain,
    ( ~ ! [X4: $i] :
          ( ~ ( c3_1 @ X4 )
          | ( c1_1 @ X4 )
          | ( c2_1 @ X4 ) )
    | ( c1_1 @ a1674 )
    | ( c2_1 @ a1674 )
    | ~ ( c3_1 @ a1674 ) ),
    inference(split,[status(esa)],[zip_derived_cl2278]) ).

thf(zip_derived_cl992_016,plain,
    ( ~ ( c1_1 @ a1691 )
   <= ~ ( c1_1 @ a1691 ) ),
    inference(split,[status(esa)],[zip_derived_cl258]) ).

thf(zip_derived_cl392_017,plain,
    ( ! [X15: $i] :
        ( ~ ( c0_1 @ X15 )
        | ( c2_1 @ X15 )
        | ( c1_1 @ X15 ) )
   <= ! [X15: $i] :
        ( ~ ( c0_1 @ X15 )
        | ( c2_1 @ X15 )
        | ( c1_1 @ X15 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl2919,plain,
    ( ( ~ ( c0_1 @ a1691 )
      | ( c2_1 @ a1691 ) )
   <= ( ~ ( c1_1 @ a1691 )
      & ! [X15: $i] :
          ( ~ ( c0_1 @ X15 )
          | ( c2_1 @ X15 )
          | ( c1_1 @ X15 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl992,zip_derived_cl392]) ).

thf('54',plain,
    ( ~ ( c0_1 @ a1691 )
    | ( c1_1 @ a1691 )
    | ~ ! [X15: $i] :
          ( ~ ( c0_1 @ X15 )
          | ( c2_1 @ X15 )
          | ( c1_1 @ X15 ) )
    | ( c2_1 @ a1691 ) ),
    inference(split,[status(esa)],[zip_derived_cl2919]) ).

thf(zip_derived_cl187,plain,
    ( ~ hskp44
    | ( c1_1 @ a1640 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl850,plain,
    ( ( c1_1 @ a1640 )
   <= ( c1_1 @ a1640 ) ),
    inference(split,[status(esa)],[zip_derived_cl187]) ).

thf(zip_derived_cl368_018,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl5914,plain,
    ( ( ~ ( c0_1 @ a1640 )
      | ~ ( c3_1 @ a1640 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ( c1_1 @ a1640 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl850,zip_derived_cl368]) ).

thf('55',plain,
    ( ~ ( c0_1 @ a1640 )
    | ~ ( c1_1 @ a1640 )
    | ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ~ ( c3_1 @ a1640 ) ),
    inference(split,[status(esa)],[zip_derived_cl5914]) ).

thf(zip_derived_cl850_019,plain,
    ( ( c1_1 @ a1640 )
   <= ( c1_1 @ a1640 ) ),
    inference(split,[status(esa)],[zip_derived_cl187]) ).

thf(zip_derived_cl405,plain,
    ( ! [X19: $i] :
        ( ~ ( c1_1 @ X19 )
        | ~ ( c3_1 @ X19 )
        | ( c0_1 @ X19 ) )
   <= ! [X19: $i] :
        ( ~ ( c1_1 @ X19 )
        | ~ ( c3_1 @ X19 )
        | ( c0_1 @ X19 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl5917,plain,
    ( ( ~ ( c3_1 @ a1640 )
      | ( c0_1 @ a1640 ) )
   <= ( ! [X19: $i] :
          ( ~ ( c1_1 @ X19 )
          | ~ ( c3_1 @ X19 )
          | ( c0_1 @ X19 ) )
      & ( c1_1 @ a1640 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl850,zip_derived_cl405]) ).

thf('56',plain,
    ( ~ ! [X19: $i] :
          ( ~ ( c1_1 @ X19 )
          | ~ ( c3_1 @ X19 )
          | ( c0_1 @ X19 ) )
    | ( c0_1 @ a1640 )
    | ~ ( c3_1 @ a1640 )
    | ~ ( c1_1 @ a1640 ) ),
    inference(split,[status(esa)],[zip_derived_cl5917]) ).

thf(zip_derived_cl118,plain,
    ( ~ hskp61
    | ~ ( c2_1 @ a1674 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl712,plain,
    ( ~ ( c2_1 @ a1674 )
   <= ~ ( c2_1 @ a1674 ) ),
    inference(split,[status(esa)],[zip_derived_cl118]) ).

thf(zip_derived_cl384_020,plain,
    ( ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c3_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c3_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl2300,plain,
    ( ( ~ ( c0_1 @ a1674 )
      | ~ ( c3_1 @ a1674 ) )
   <= ( ~ ( c2_1 @ a1674 )
      & ! [X10: $i] :
          ( ( c2_1 @ X10 )
          | ~ ( c0_1 @ X10 )
          | ~ ( c3_1 @ X10 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl712,zip_derived_cl384]) ).

thf('57',plain,
    ( ~ ( c0_1 @ a1674 )
    | ~ ! [X10: $i] :
          ( ( c2_1 @ X10 )
          | ~ ( c0_1 @ X10 )
          | ~ ( c3_1 @ X10 ) )
    | ~ ( c3_1 @ a1674 )
    | ( c2_1 @ a1674 ) ),
    inference(split,[status(esa)],[zip_derived_cl2300]) ).

thf('58',plain,
    ( ~ ( c1_1 @ a1674 )
    | ~ hskp61 ),
    inference(split,[status(esa)],[zip_derived_cl117]) ).

thf('59',plain,
    ( ~ ( c2_1 @ a1674 )
    | ~ hskp61 ),
    inference(split,[status(esa)],[zip_derived_cl118]) ).

thf(zip_derived_cl119,plain,
    ( ~ hskp61
    | ( c3_1 @ a1674 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('60',plain,
    ( ( c3_1 @ a1674 )
    | ~ hskp61 ),
    inference(split,[status(esa)],[zip_derived_cl119]) ).

thf('61',plain,
    ( ! [X20: $i] :
        ( ~ ( c3_1 @ X20 )
        | ~ ( c2_1 @ X20 )
        | ( c1_1 @ X20 ) )
    | ! [X19: $i] :
        ( ~ ( c1_1 @ X19 )
        | ~ ( c3_1 @ X19 )
        | ( c0_1 @ X19 ) )
    | ~ ndr1_0
    | hskp73 ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl189,plain,
    ( ~ hskp43
    | ~ ( c1_1 @ a1639 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl854,plain,
    ( ~ ( c1_1 @ a1639 )
   <= ~ ( c1_1 @ a1639 ) ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf(zip_derived_cl380_021,plain,
    ( ! [X8: $i] :
        ( ~ ( c0_1 @ X8 )
        | ( c1_1 @ X8 )
        | ~ ( c3_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ~ ( c0_1 @ X8 )
        | ( c1_1 @ X8 )
        | ~ ( c3_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf(zip_derived_cl2587,plain,
    ( ( ~ ( c0_1 @ a1639 )
      | ~ ( c3_1 @ a1639 ) )
   <= ( ~ ( c1_1 @ a1639 )
      & ! [X8: $i] :
          ( ~ ( c0_1 @ X8 )
          | ( c1_1 @ X8 )
          | ~ ( c3_1 @ X8 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl854,zip_derived_cl380]) ).

thf('62',plain,
    ( ( c1_1 @ a1639 )
    | ~ ( c3_1 @ a1639 )
    | ~ ! [X8: $i] :
          ( ~ ( c0_1 @ X8 )
          | ( c1_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
    | ~ ( c0_1 @ a1639 ) ),
    inference(split,[status(esa)],[zip_derived_cl2587]) ).

thf(zip_derived_cl191,plain,
    ( ~ hskp43
    | ( c0_1 @ a1639 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('63',plain,
    ( ~ hskp43
    | ( c0_1 @ a1639 ) ),
    inference(split,[status(esa)],[zip_derived_cl191]) ).

thf(zip_derived_cl6,plain,
    ! [X11: $i,X12: $i] :
      ( ~ ( c2_1 @ X11 )
      | ( c1_1 @ X11 )
      | ( c3_1 @ X11 )
      | ~ ndr1_0
      | hskp57
      | ( c2_1 @ X12 )
      | ( c3_1 @ X12 )
      | ~ ( c0_1 @ X12 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('64',plain,
    ( ! [X1: $i] :
        ( ( c1_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ( c3_1 @ X1 ) )
    | hskp57
    | ~ ndr1_0
    | ! [X6: $i] :
        ( ~ ( c0_1 @ X6 )
        | ( c2_1 @ X6 )
        | ( c3_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl259,plain,
    ( ~ hskp26
    | ~ ( c2_1 @ a1691 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl994,plain,
    ( ~ ( c2_1 @ a1691 )
   <= ~ ( c2_1 @ a1691 ) ),
    inference(split,[status(esa)],[zip_derived_cl259]) ).

thf(zip_derived_cl3,plain,
    ! [X5: $i,X6: $i] :
      ( hskp61
      | ( c2_1 @ X5 )
      | ~ ( c0_1 @ X5 )
      | ~ ( c1_1 @ X5 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X6 )
      | ( c2_1 @ X6 )
      | ( c3_1 @ X6 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl376,plain,
    ( ! [X6: $i] :
        ( ~ ( c0_1 @ X6 )
        | ( c2_1 @ X6 )
        | ( c3_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ~ ( c0_1 @ X6 )
        | ( c2_1 @ X6 )
        | ( c3_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl2937,plain,
    ( ( ~ ( c0_1 @ a1691 )
      | ( c3_1 @ a1691 ) )
   <= ( ~ ( c2_1 @ a1691 )
      & ! [X6: $i] :
          ( ~ ( c0_1 @ X6 )
          | ( c2_1 @ X6 )
          | ( c3_1 @ X6 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl994,zip_derived_cl376]) ).

thf('65',plain,
    ( ~ ! [X6: $i] :
          ( ~ ( c0_1 @ X6 )
          | ( c2_1 @ X6 )
          | ( c3_1 @ X6 ) )
    | ~ ( c0_1 @ a1691 )
    | ( c2_1 @ a1691 )
    | ( c3_1 @ a1691 ) ),
    inference(split,[status(esa)],[zip_derived_cl2937]) ).

thf(zip_derived_cl105,plain,
    ( ~ hskp64
    | ~ ( c3_1 @ a1686 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('66',plain,
    ( ~ hskp64
    | ~ ( c3_1 @ a1686 ) ),
    inference(split,[status(esa)],[zip_derived_cl105]) ).

thf(zip_derived_cl101,plain,
    ( ~ hskp65
    | ~ ( c3_1 @ a1687 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('67',plain,
    ( ~ hskp65
    | ~ ( c3_1 @ a1687 ) ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf(zip_derived_cl369_022,plain,
    ( ! [X1: $i] :
        ( ( c1_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ( c1_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl373,plain,
    ( ! [X3: $i] :
        ( ~ ( c2_1 @ X3 )
        | ( c3_1 @ X3 )
        | ~ ( c1_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ~ ( c2_1 @ X3 )
        | ( c3_1 @ X3 )
        | ~ ( c1_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl1212,plain,
    ( ! [X0: $i] :
        ( ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ( c3_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ( c1_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ( c3_1 @ X1 ) )
      & ! [X3: $i] :
          ( ~ ( c2_1 @ X3 )
          | ( c3_1 @ X3 )
          | ~ ( c1_1 @ X3 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl369,zip_derived_cl373]) ).

thf(zip_derived_cl1214,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ( c3_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ( c1_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ( c3_1 @ X1 ) )
      & ! [X3: $i] :
          ( ~ ( c2_1 @ X3 )
          | ( c3_1 @ X3 )
          | ~ ( c1_1 @ X3 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1212]) ).

thf(zip_derived_cl11,plain,
    ! [X21: $i] :
      ( hskp37
      | ( c3_1 @ X21 )
      | ( c0_1 @ X21 )
      | ( c2_1 @ X21 )
      | ~ ndr1_0
      | hskp72 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl408,plain,
    ( ! [X21: $i] :
        ( ( c3_1 @ X21 )
        | ( c0_1 @ X21 )
        | ( c2_1 @ X21 ) )
   <= ! [X21: $i] :
        ( ( c3_1 @ X21 )
        | ( c0_1 @ X21 )
        | ( c2_1 @ X21 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl1380,plain,
    ( ! [X0: $i] :
        ( ( c3_1 @ X0 )
        | ( c3_1 @ X0 )
        | ( c0_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ( c1_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ( c3_1 @ X1 ) )
      & ! [X3: $i] :
          ( ~ ( c2_1 @ X3 )
          | ( c3_1 @ X3 )
          | ~ ( c1_1 @ X3 ) )
      & ! [X21: $i] :
          ( ( c3_1 @ X21 )
          | ( c0_1 @ X21 )
          | ( c2_1 @ X21 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1214,zip_derived_cl408]) ).

thf(zip_derived_cl1381,plain,
    ( ! [X0: $i] :
        ( ( c0_1 @ X0 )
        | ( c3_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ( c1_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ( c3_1 @ X1 ) )
      & ! [X3: $i] :
          ( ~ ( c2_1 @ X3 )
          | ( c3_1 @ X3 )
          | ~ ( c1_1 @ X3 ) )
      & ! [X21: $i] :
          ( ( c3_1 @ X21 )
          | ( c0_1 @ X21 )
          | ( c2_1 @ X21 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1380]) ).

thf(zip_derived_cl1214_023,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ( c3_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ( c1_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ( c3_1 @ X1 ) )
      & ! [X3: $i] :
          ( ~ ( c2_1 @ X3 )
          | ( c3_1 @ X3 )
          | ~ ( c1_1 @ X3 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1212]) ).

thf(zip_derived_cl376_024,plain,
    ( ! [X6: $i] :
        ( ~ ( c0_1 @ X6 )
        | ( c2_1 @ X6 )
        | ( c3_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ~ ( c0_1 @ X6 )
        | ( c2_1 @ X6 )
        | ( c3_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl1221,plain,
    ( ! [X0: $i] :
        ( ( c3_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ( c3_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ( c1_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ( c3_1 @ X1 ) )
      & ! [X3: $i] :
          ( ~ ( c2_1 @ X3 )
          | ( c3_1 @ X3 )
          | ~ ( c1_1 @ X3 ) )
      & ! [X6: $i] :
          ( ~ ( c0_1 @ X6 )
          | ( c2_1 @ X6 )
          | ( c3_1 @ X6 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1214,zip_derived_cl376]) ).

thf(zip_derived_cl1222,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ( c3_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ( c1_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ( c3_1 @ X1 ) )
      & ! [X3: $i] :
          ( ~ ( c2_1 @ X3 )
          | ( c3_1 @ X3 )
          | ~ ( c1_1 @ X3 ) )
      & ! [X6: $i] :
          ( ~ ( c0_1 @ X6 )
          | ( c2_1 @ X6 )
          | ( c3_1 @ X6 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1221]) ).

thf(zip_derived_cl1448,plain,
    ( ! [X0: $i] :
        ( ( c3_1 @ X0 )
        | ( c3_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ( c1_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ( c3_1 @ X1 ) )
      & ! [X3: $i] :
          ( ~ ( c2_1 @ X3 )
          | ( c3_1 @ X3 )
          | ~ ( c1_1 @ X3 ) )
      & ! [X6: $i] :
          ( ~ ( c0_1 @ X6 )
          | ( c2_1 @ X6 )
          | ( c3_1 @ X6 ) )
      & ! [X21: $i] :
          ( ( c3_1 @ X21 )
          | ( c0_1 @ X21 )
          | ( c2_1 @ X21 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1381,zip_derived_cl1222]) ).

thf(zip_derived_cl1459,plain,
    ( ! [X0: $i] : ( c3_1 @ X0 )
   <= ( ! [X1: $i] :
          ( ( c1_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ( c3_1 @ X1 ) )
      & ! [X3: $i] :
          ( ~ ( c2_1 @ X3 )
          | ( c3_1 @ X3 )
          | ~ ( c1_1 @ X3 ) )
      & ! [X6: $i] :
          ( ~ ( c0_1 @ X6 )
          | ( c2_1 @ X6 )
          | ( c3_1 @ X6 ) )
      & ! [X21: $i] :
          ( ( c3_1 @ X21 )
          | ( c0_1 @ X21 )
          | ( c2_1 @ X21 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1448]) ).

thf(zip_derived_cl686,plain,
    ( ~ ( c3_1 @ a1686 )
   <= ~ ( c3_1 @ a1686 ) ),
    inference(split,[status(esa)],[zip_derived_cl105]) ).

thf('68',plain,
    ( ( c3_1 @ a1686 )
    | ~ ! [X21: $i] :
          ( ( c3_1 @ X21 )
          | ( c0_1 @ X21 )
          | ( c2_1 @ X21 ) )
    | ~ ! [X1: $i] :
          ( ( c1_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ( c3_1 @ X1 ) )
    | ~ ! [X6: $i] :
          ( ~ ( c0_1 @ X6 )
          | ( c2_1 @ X6 )
          | ( c3_1 @ X6 ) )
    | ~ ! [X3: $i] :
          ( ~ ( c2_1 @ X3 )
          | ( c3_1 @ X3 )
          | ~ ( c1_1 @ X3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1459,zip_derived_cl686]) ).

thf(zip_derived_cl1459_025,plain,
    ( ! [X0: $i] : ( c3_1 @ X0 )
   <= ( ! [X1: $i] :
          ( ( c1_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ( c3_1 @ X1 ) )
      & ! [X3: $i] :
          ( ~ ( c2_1 @ X3 )
          | ( c3_1 @ X3 )
          | ~ ( c1_1 @ X3 ) )
      & ! [X6: $i] :
          ( ~ ( c0_1 @ X6 )
          | ( c2_1 @ X6 )
          | ( c3_1 @ X6 ) )
      & ! [X21: $i] :
          ( ( c3_1 @ X21 )
          | ( c0_1 @ X21 )
          | ( c2_1 @ X21 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1448]) ).

thf(zip_derived_cl678,plain,
    ( ~ ( c3_1 @ a1687 )
   <= ~ ( c3_1 @ a1687 ) ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf('69',plain,
    ( ( c3_1 @ a1687 )
    | ~ ! [X21: $i] :
          ( ( c3_1 @ X21 )
          | ( c0_1 @ X21 )
          | ( c2_1 @ X21 ) )
    | ~ ! [X1: $i] :
          ( ( c1_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ( c3_1 @ X1 ) )
    | ~ ! [X6: $i] :
          ( ~ ( c0_1 @ X6 )
          | ( c2_1 @ X6 )
          | ( c3_1 @ X6 ) )
    | ~ ! [X3: $i] :
          ( ~ ( c2_1 @ X3 )
          | ( c3_1 @ X3 )
          | ~ ( c1_1 @ X3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1459,zip_derived_cl678]) ).

thf(zip_derived_cl29,plain,
    ( hskp23
    | hskp64
    | hskp65 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('70',plain,
    ( hskp23
    | hskp65
    | hskp64 ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl372_026,plain,
    ( ! [X4: $i] :
        ( ~ ( c3_1 @ X4 )
        | ( c1_1 @ X4 )
        | ( c2_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ~ ( c3_1 @ X4 )
        | ( c1_1 @ X4 )
        | ( c2_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i] :
      ( ( c2_1 @ X0 )
      | ~ ( c1_1 @ X0 )
      | ( c0_1 @ X0 )
      | ~ ndr1_0
      | hskp41
      | hskp30 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl364,plain,
    ( ! [X0: $i] :
        ( ( c2_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ( c0_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ( c2_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ( c0_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf(zip_derived_cl1206,plain,
    ( ! [X0: $i] :
        ( ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 )
        | ( c2_1 @ X0 )
        | ( c0_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ( c2_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ( c0_1 @ X0 ) )
      & ! [X4: $i] :
          ( ~ ( c3_1 @ X4 )
          | ( c1_1 @ X4 )
          | ( c2_1 @ X4 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl372,zip_derived_cl364]) ).

thf(zip_derived_cl1208,plain,
    ( ! [X0: $i] :
        ( ( c0_1 @ X0 )
        | ~ ( c3_1 @ X0 )
        | ( c2_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ( c2_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ( c0_1 @ X0 ) )
      & ! [X4: $i] :
          ( ~ ( c3_1 @ X4 )
          | ( c1_1 @ X4 )
          | ( c2_1 @ X4 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1206]) ).

thf(zip_derived_cl210,plain,
    ( ~ hskp38
    | ~ ( c2_1 @ a1718 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl896,plain,
    ( ~ ( c2_1 @ a1718 )
   <= ~ ( c2_1 @ a1718 ) ),
    inference(split,[status(esa)],[zip_derived_cl210]) ).

thf(zip_derived_cl2681,plain,
    ( ( ~ ( c3_1 @ a1718 )
      | ( c0_1 @ a1718 ) )
   <= ( ~ ( c2_1 @ a1718 )
      & ! [X0: $i] :
          ( ( c2_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ( c0_1 @ X0 ) )
      & ! [X4: $i] :
          ( ~ ( c3_1 @ X4 )
          | ( c1_1 @ X4 )
          | ( c2_1 @ X4 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1208,zip_derived_cl896]) ).

thf('71',plain,
    ( ~ ! [X4: $i] :
          ( ~ ( c3_1 @ X4 )
          | ( c1_1 @ X4 )
          | ( c2_1 @ X4 ) )
    | ( c2_1 @ a1718 )
    | ~ ! [X0: $i] :
          ( ( c2_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ( c0_1 @ X0 ) )
    | ~ ( c3_1 @ a1718 )
    | ( c0_1 @ a1718 ) ),
    inference(split,[status(esa)],[zip_derived_cl2681]) ).

thf(zip_derived_cl271,plain,
    ( ~ hskp23
    | ~ ( c1_1 @ a1685 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1018,plain,
    ( ~ ( c1_1 @ a1685 )
   <= ~ ( c1_1 @ a1685 ) ),
    inference(split,[status(esa)],[zip_derived_cl271]) ).

thf(zip_derived_cl404_027,plain,
    ( ! [X20: $i] :
        ( ~ ( c3_1 @ X20 )
        | ~ ( c2_1 @ X20 )
        | ( c1_1 @ X20 ) )
   <= ! [X20: $i] :
        ( ~ ( c3_1 @ X20 )
        | ~ ( c2_1 @ X20 )
        | ( c1_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl3019,plain,
    ( ( ~ ( c3_1 @ a1685 )
      | ~ ( c2_1 @ a1685 ) )
   <= ( ~ ( c1_1 @ a1685 )
      & ! [X20: $i] :
          ( ~ ( c3_1 @ X20 )
          | ~ ( c2_1 @ X20 )
          | ( c1_1 @ X20 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1018,zip_derived_cl404]) ).

thf('72',plain,
    ( ~ ( c3_1 @ a1685 )
    | ~ ( c2_1 @ a1685 )
    | ~ ! [X20: $i] :
          ( ~ ( c3_1 @ X20 )
          | ~ ( c2_1 @ X20 )
          | ( c1_1 @ X20 ) )
    | ( c1_1 @ a1685 ) ),
    inference(split,[status(esa)],[zip_derived_cl3019]) ).

thf(zip_derived_cl270,plain,
    ( ~ hskp23
    | ( c2_1 @ a1685 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('73',plain,
    ( ( c2_1 @ a1685 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl270]) ).

thf('74',plain,
    ( ~ ( c1_1 @ a1685 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl271]) ).

thf(zip_derived_cl1018_028,plain,
    ( ~ ( c1_1 @ a1685 )
   <= ~ ( c1_1 @ a1685 ) ),
    inference(split,[status(esa)],[zip_derived_cl271]) ).

thf(zip_derived_cl369_029,plain,
    ( ! [X1: $i] :
        ( ( c1_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ( c1_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl3014,plain,
    ( ( ~ ( c2_1 @ a1685 )
      | ( c3_1 @ a1685 ) )
   <= ( ~ ( c1_1 @ a1685 )
      & ! [X1: $i] :
          ( ( c1_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ( c3_1 @ X1 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1018,zip_derived_cl369]) ).

thf('75',plain,
    ( ( c3_1 @ a1685 )
    | ( c1_1 @ a1685 )
    | ~ ! [X1: $i] :
          ( ( c1_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ( c3_1 @ X1 ) )
    | ~ ( c2_1 @ a1685 ) ),
    inference(split,[status(esa)],[zip_derived_cl3014]) ).

thf('76',plain,
    ( ! [X3: $i] :
        ( ~ ( c2_1 @ X3 )
        | ( c3_1 @ X3 )
        | ~ ( c1_1 @ X3 ) )
    | hskp75
    | ! [X4: $i] :
        ( ~ ( c3_1 @ X4 )
        | ( c1_1 @ X4 )
        | ( c2_1 @ X4 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl994_030,plain,
    ( ~ ( c2_1 @ a1691 )
   <= ~ ( c2_1 @ a1691 ) ),
    inference(split,[status(esa)],[zip_derived_cl259]) ).

thf(zip_derived_cl408_031,plain,
    ( ! [X21: $i] :
        ( ( c3_1 @ X21 )
        | ( c0_1 @ X21 )
        | ( c2_1 @ X21 ) )
   <= ! [X21: $i] :
        ( ( c3_1 @ X21 )
        | ( c0_1 @ X21 )
        | ( c2_1 @ X21 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl2939,plain,
    ( ( ( c3_1 @ a1691 )
      | ( c0_1 @ a1691 ) )
   <= ( ~ ( c2_1 @ a1691 )
      & ! [X21: $i] :
          ( ( c3_1 @ X21 )
          | ( c0_1 @ X21 )
          | ( c2_1 @ X21 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl994,zip_derived_cl408]) ).

thf('77',plain,
    ( ( c0_1 @ a1691 )
    | ~ ! [X21: $i] :
          ( ( c3_1 @ X21 )
          | ( c0_1 @ X21 )
          | ( c2_1 @ X21 ) )
    | ( c2_1 @ a1691 )
    | ( c3_1 @ a1691 ) ),
    inference(split,[status(esa)],[zip_derived_cl2939]) ).

thf('78',plain,
    ( hskp72
    | hskp37
    | ! [X21: $i] :
        ( ( c3_1 @ X21 )
        | ( c0_1 @ X21 )
        | ( c2_1 @ X21 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl48,plain,
    ! [X75: $i,X76: $i,X77: $i] :
      ( ( c2_1 @ X75 )
      | ( c3_1 @ X75 )
      | ( c0_1 @ X75 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X76 )
      | ( c1_1 @ X76 )
      | ~ ( c2_1 @ X76 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X77 )
      | ~ ( c3_1 @ X77 )
      | ~ ( c2_1 @ X77 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('79',plain,
    ( ! [X36: $i] :
        ( ( c1_1 @ X36 )
        | ~ ( c0_1 @ X36 )
        | ~ ( c2_1 @ X36 ) )
    | ! [X21: $i] :
        ( ( c3_1 @ X21 )
        | ( c0_1 @ X21 )
        | ( c2_1 @ X21 ) )
    | ~ ndr1_0
    | ! [X18: $i] :
        ( ~ ( c3_1 @ X18 )
        | ~ ( c2_1 @ X18 )
        | ~ ( c0_1 @ X18 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl213,plain,
    ( ~ hskp37
    | ( c2_1 @ a1714 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('80',plain,
    ( ( c2_1 @ a1714 )
    | ~ hskp37 ),
    inference(split,[status(esa)],[zip_derived_cl213]) ).

thf(zip_derived_cl214,plain,
    ( ~ hskp37
    | ( c0_1 @ a1714 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('81',plain,
    ( ~ hskp37
    | ( c0_1 @ a1714 ) ),
    inference(split,[status(esa)],[zip_derived_cl214]) ).

thf(zip_derived_cl215,plain,
    ( ~ hskp37
    | ~ ( c1_1 @ a1714 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('82',plain,
    ( ~ hskp37
    | ~ ( c1_1 @ a1714 ) ),
    inference(split,[status(esa)],[zip_derived_cl215]) ).

thf(zip_derived_cl906,plain,
    ( ~ ( c1_1 @ a1714 )
   <= ~ ( c1_1 @ a1714 ) ),
    inference(split,[status(esa)],[zip_derived_cl215]) ).

thf(zip_derived_cl19,plain,
    ! [X35: $i,X36: $i] :
      ( hskp34
      | ~ ( c1_1 @ X35 )
      | ~ ( c3_1 @ X35 )
      | ( c2_1 @ X35 )
      | ~ ndr1_0
      | ( c1_1 @ X36 )
      | ~ ( c0_1 @ X36 )
      | ~ ( c2_1 @ X36 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl440,plain,
    ( ! [X36: $i] :
        ( ( c1_1 @ X36 )
        | ~ ( c0_1 @ X36 )
        | ~ ( c2_1 @ X36 ) )
   <= ! [X36: $i] :
        ( ( c1_1 @ X36 )
        | ~ ( c0_1 @ X36 )
        | ~ ( c2_1 @ X36 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl2709,plain,
    ( ( ~ ( c0_1 @ a1714 )
      | ~ ( c2_1 @ a1714 ) )
   <= ( ~ ( c1_1 @ a1714 )
      & ! [X36: $i] :
          ( ( c1_1 @ X36 )
          | ~ ( c0_1 @ X36 )
          | ~ ( c2_1 @ X36 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl906,zip_derived_cl440]) ).

thf('83',plain,
    ( ( c1_1 @ a1714 )
    | ~ ( c0_1 @ a1714 )
    | ~ ! [X36: $i] :
          ( ( c1_1 @ X36 )
          | ~ ( c0_1 @ X36 )
          | ~ ( c2_1 @ X36 ) )
    | ~ ( c2_1 @ a1714 ) ),
    inference(split,[status(esa)],[zip_derived_cl2709]) ).

thf(zip_derived_cl133,plain,
    ( ~ hskp57
    | ( c0_1 @ a1665 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('84',plain,
    ( ( c0_1 @ a1665 )
    | ~ hskp57 ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf(zip_derived_cl134,plain,
    ( ~ hskp57
    | ~ ( c1_1 @ a1665 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('85',plain,
    ( ~ ( c1_1 @ a1665 )
    | ~ hskp57 ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl135,plain,
    ( ~ hskp57
    | ( c3_1 @ a1665 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('86',plain,
    ( ( c3_1 @ a1665 )
    | ~ hskp57 ),
    inference(split,[status(esa)],[zip_derived_cl135]) ).

thf(zip_derived_cl744,plain,
    ( ~ ( c1_1 @ a1665 )
   <= ~ ( c1_1 @ a1665 ) ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl380_032,plain,
    ( ! [X8: $i] :
        ( ~ ( c0_1 @ X8 )
        | ( c1_1 @ X8 )
        | ~ ( c3_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ~ ( c0_1 @ X8 )
        | ( c1_1 @ X8 )
        | ~ ( c3_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf(zip_derived_cl2386,plain,
    ( ( ~ ( c0_1 @ a1665 )
      | ~ ( c3_1 @ a1665 ) )
   <= ( ~ ( c1_1 @ a1665 )
      & ! [X8: $i] :
          ( ~ ( c0_1 @ X8 )
          | ( c1_1 @ X8 )
          | ~ ( c3_1 @ X8 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl744,zip_derived_cl380]) ).

thf('87',plain,
    ( ~ ( c0_1 @ a1665 )
    | ( c1_1 @ a1665 )
    | ~ ! [X8: $i] :
          ( ~ ( c0_1 @ X8 )
          | ( c1_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
    | ~ ( c3_1 @ a1665 ) ),
    inference(split,[status(esa)],[zip_derived_cl2386]) ).

thf(zip_derived_cl241,plain,
    ( ~ hskp30
    | ( c1_1 @ a1698 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('88',plain,
    ( ( c1_1 @ a1698 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl241]) ).

thf(zip_derived_cl242,plain,
    ( ~ hskp30
    | ( c3_1 @ a1698 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('89',plain,
    ( ( c3_1 @ a1698 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl242]) ).

thf(zip_derived_cl243,plain,
    ( ~ hskp30
    | ~ ( c0_1 @ a1698 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('90',plain,
    ( ~ ( c0_1 @ a1698 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl243]) ).

thf(zip_derived_cl958,plain,
    ( ( c1_1 @ a1698 )
   <= ( c1_1 @ a1698 ) ),
    inference(split,[status(esa)],[zip_derived_cl241]) ).

thf(zip_derived_cl405_033,plain,
    ( ! [X19: $i] :
        ( ~ ( c1_1 @ X19 )
        | ~ ( c3_1 @ X19 )
        | ( c0_1 @ X19 ) )
   <= ! [X19: $i] :
        ( ~ ( c1_1 @ X19 )
        | ~ ( c3_1 @ X19 )
        | ( c0_1 @ X19 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl6465,plain,
    ( ( ~ ( c3_1 @ a1698 )
      | ( c0_1 @ a1698 ) )
   <= ( ! [X19: $i] :
          ( ~ ( c1_1 @ X19 )
          | ~ ( c3_1 @ X19 )
          | ( c0_1 @ X19 ) )
      & ( c1_1 @ a1698 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl958,zip_derived_cl405]) ).

thf('91',plain,
    ( ~ ! [X19: $i] :
          ( ~ ( c1_1 @ X19 )
          | ~ ( c3_1 @ X19 )
          | ( c0_1 @ X19 ) )
    | ~ ( c1_1 @ a1698 )
    | ( c0_1 @ a1698 )
    | ~ ( c3_1 @ a1698 ) ),
    inference(split,[status(esa)],[zip_derived_cl6465]) ).

thf(zip_derived_cl69,plain,
    ( ~ hskp73
    | ( c2_1 @ a1716 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('92',plain,
    ( ( c2_1 @ a1716 )
    | ~ hskp73 ),
    inference(split,[status(esa)],[zip_derived_cl69]) ).

thf(zip_derived_cl70,plain,
    ( ~ hskp73
    | ~ ( c3_1 @ a1716 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('93',plain,
    ( ~ hskp73
    | ~ ( c3_1 @ a1716 ) ),
    inference(split,[status(esa)],[zip_derived_cl70]) ).

thf(zip_derived_cl71,plain,
    ( ~ hskp73
    | ( c0_1 @ a1716 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('94',plain,
    ( ( c0_1 @ a1716 )
    | ~ hskp73 ),
    inference(split,[status(esa)],[zip_derived_cl71]) ).

thf(zip_derived_cl614,plain,
    ( ( c2_1 @ a1716 )
   <= ( c2_1 @ a1716 ) ),
    inference(split,[status(esa)],[zip_derived_cl69]) ).

thf(zip_derived_cl412,plain,
    ( ! [X24: $i] :
        ( ( c3_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c2_1 @ X24 ) )
   <= ! [X24: $i] :
        ( ( c3_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c2_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl4044,plain,
    ( ( ( c3_1 @ a1716 )
      | ~ ( c0_1 @ a1716 ) )
   <= ( ! [X24: $i] :
          ( ( c3_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c2_1 @ X24 ) )
      & ( c2_1 @ a1716 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl614,zip_derived_cl412]) ).

thf('95',plain,
    ( ( c3_1 @ a1716 )
    | ~ ( c2_1 @ a1716 )
    | ~ ! [X24: $i] :
          ( ( c3_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c2_1 @ X24 ) )
    | ~ ( c0_1 @ a1716 ) ),
    inference(split,[status(esa)],[zip_derived_cl4044]) ).

thf(zip_derived_cl190,plain,
    ( ~ hskp43
    | ( c2_1 @ a1639 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl856,plain,
    ( ( c2_1 @ a1639 )
   <= ( c2_1 @ a1639 ) ),
    inference(split,[status(esa)],[zip_derived_cl190]) ).

thf(zip_derived_cl412_034,plain,
    ( ! [X24: $i] :
        ( ( c3_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c2_1 @ X24 ) )
   <= ! [X24: $i] :
        ( ( c3_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c2_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl5928,plain,
    ( ( ( c3_1 @ a1639 )
      | ~ ( c0_1 @ a1639 ) )
   <= ( ! [X24: $i] :
          ( ( c3_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c2_1 @ X24 ) )
      & ( c2_1 @ a1639 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl856,zip_derived_cl412]) ).

thf('96',plain,
    ( ~ ( c0_1 @ a1639 )
    | ( c3_1 @ a1639 )
    | ~ ! [X24: $i] :
          ( ( c3_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c2_1 @ X24 ) )
    | ~ ( c2_1 @ a1639 ) ),
    inference(split,[status(esa)],[zip_derived_cl5928]) ).

thf(zip_derived_cl73,plain,
    ( ~ hskp72
    | ~ ( c2_1 @ a1715 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('97',plain,
    ( ~ ( c2_1 @ a1715 )
    | ~ hskp72 ),
    inference(split,[status(esa)],[zip_derived_cl73]) ).

thf(zip_derived_cl622,plain,
    ( ~ ( c2_1 @ a1715 )
   <= ~ ( c2_1 @ a1715 ) ),
    inference(split,[status(esa)],[zip_derived_cl73]) ).

thf(zip_derived_cl384_035,plain,
    ( ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c3_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c3_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl2100,plain,
    ( ( ~ ( c0_1 @ a1715 )
      | ~ ( c3_1 @ a1715 ) )
   <= ( ~ ( c2_1 @ a1715 )
      & ! [X10: $i] :
          ( ( c2_1 @ X10 )
          | ~ ( c0_1 @ X10 )
          | ~ ( c3_1 @ X10 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl622,zip_derived_cl384]) ).

thf('98',plain,
    ( ~ ( c0_1 @ a1715 )
    | ~ ( c3_1 @ a1715 )
    | ~ ! [X10: $i] :
          ( ( c2_1 @ X10 )
          | ~ ( c0_1 @ X10 )
          | ~ ( c3_1 @ X10 ) )
    | ( c2_1 @ a1715 ) ),
    inference(split,[status(esa)],[zip_derived_cl2100]) ).

thf(zip_derived_cl74,plain,
    ( ~ hskp72
    | ( c1_1 @ a1715 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('99',plain,
    ( ( c1_1 @ a1715 )
    | ~ hskp72 ),
    inference(split,[status(esa)],[zip_derived_cl74]) ).

thf(zip_derived_cl75,plain,
    ( ~ hskp72
    | ( c3_1 @ a1715 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('100',plain,
    ( ( c3_1 @ a1715 )
    | ~ hskp72 ),
    inference(split,[status(esa)],[zip_derived_cl75]) ).

thf(zip_derived_cl624,plain,
    ( ( c1_1 @ a1715 )
   <= ( c1_1 @ a1715 ) ),
    inference(split,[status(esa)],[zip_derived_cl74]) ).

thf(zip_derived_cl405_036,plain,
    ( ! [X19: $i] :
        ( ~ ( c1_1 @ X19 )
        | ~ ( c3_1 @ X19 )
        | ( c0_1 @ X19 ) )
   <= ! [X19: $i] :
        ( ~ ( c1_1 @ X19 )
        | ~ ( c3_1 @ X19 )
        | ( c0_1 @ X19 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl4091,plain,
    ( ( ~ ( c3_1 @ a1715 )
      | ( c0_1 @ a1715 ) )
   <= ( ! [X19: $i] :
          ( ~ ( c1_1 @ X19 )
          | ~ ( c3_1 @ X19 )
          | ( c0_1 @ X19 ) )
      & ( c1_1 @ a1715 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl624,zip_derived_cl405]) ).

thf('101',plain,
    ( ~ ! [X19: $i] :
          ( ~ ( c1_1 @ X19 )
          | ~ ( c3_1 @ X19 )
          | ( c0_1 @ X19 ) )
    | ( c0_1 @ a1715 )
    | ~ ( c1_1 @ a1715 )
    | ~ ( c3_1 @ a1715 ) ),
    inference(split,[status(esa)],[zip_derived_cl4091]) ).

thf(zip_derived_cl61,plain,
    ( ~ hskp75
    | ( c0_1 @ a1724 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('102',plain,
    ( ( c0_1 @ a1724 )
    | ~ hskp75 ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(zip_derived_cl62,plain,
    ( ~ hskp75
    | ~ ( c2_1 @ a1724 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('103',plain,
    ( ~ ( c2_1 @ a1724 )
    | ~ hskp75 ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf(zip_derived_cl63,plain,
    ( ~ hskp75
    | ( c3_1 @ a1724 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('104',plain,
    ( ( c3_1 @ a1724 )
    | ~ hskp75 ),
    inference(split,[status(esa)],[zip_derived_cl63]) ).

thf(zip_derived_cl600,plain,
    ( ~ ( c2_1 @ a1724 )
   <= ~ ( c2_1 @ a1724 ) ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf(zip_derived_cl384_037,plain,
    ( ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c3_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c3_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl2083,plain,
    ( ( ~ ( c0_1 @ a1724 )
      | ~ ( c3_1 @ a1724 ) )
   <= ( ~ ( c2_1 @ a1724 )
      & ! [X10: $i] :
          ( ( c2_1 @ X10 )
          | ~ ( c0_1 @ X10 )
          | ~ ( c3_1 @ X10 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl600,zip_derived_cl384]) ).

thf('105',plain,
    ( ( c2_1 @ a1724 )
    | ~ ( c3_1 @ a1724 )
    | ~ ! [X10: $i] :
          ( ( c2_1 @ X10 )
          | ~ ( c0_1 @ X10 )
          | ~ ( c3_1 @ X10 ) )
    | ~ ( c0_1 @ a1724 ) ),
    inference(split,[status(esa)],[zip_derived_cl2083]) ).

thf(zip_derived_cl257,plain,
    ( ~ hskp26
    | ~ ( c3_1 @ a1691 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('106',plain,
    ( ~ ( c3_1 @ a1691 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl257]) ).

thf('107',plain,
    ( ~ ( c1_1 @ a1691 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl258]) ).

thf('108',plain,
    ( ~ ( c2_1 @ a1691 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl259]) ).

thf(zip_derived_cl26,plain,
    ! [X42: $i,X43: $i] :
      ( ~ ( c2_1 @ X42 )
      | ~ ( c3_1 @ X42 )
      | ~ ( c0_1 @ X42 )
      | ~ ndr1_0
      | hskp26
      | ~ ( c2_1 @ X43 )
      | ~ ( c3_1 @ X43 )
      | ( c1_1 @ X43 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('109',plain,
    ( hskp26
    | ! [X20: $i] :
        ( ~ ( c3_1 @ X20 )
        | ~ ( c2_1 @ X20 )
        | ( c1_1 @ X20 ) )
    | ~ ndr1_0
    | ! [X18: $i] :
        ( ~ ( c3_1 @ X18 )
        | ~ ( c2_1 @ X18 )
        | ~ ( c0_1 @ X18 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl1098_038,plain,
    ( ~ ( c1_1 @ a1667 )
   <= ~ ( c1_1 @ a1667 ) ),
    inference(split,[status(esa)],[zip_derived_cl311]) ).

thf(zip_derived_cl380_039,plain,
    ( ! [X8: $i] :
        ( ~ ( c0_1 @ X8 )
        | ( c1_1 @ X8 )
        | ~ ( c3_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ~ ( c0_1 @ X8 )
        | ( c1_1 @ X8 )
        | ~ ( c3_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf(zip_derived_cl3377,plain,
    ( ( ~ ( c0_1 @ a1667 )
      | ~ ( c3_1 @ a1667 ) )
   <= ( ~ ( c1_1 @ a1667 )
      & ! [X8: $i] :
          ( ~ ( c0_1 @ X8 )
          | ( c1_1 @ X8 )
          | ~ ( c3_1 @ X8 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1098,zip_derived_cl380]) ).

thf('110',plain,
    ( ~ ( c3_1 @ a1667 )
    | ( c1_1 @ a1667 )
    | ~ ! [X8: $i] :
          ( ~ ( c0_1 @ X8 )
          | ( c1_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
    | ~ ( c0_1 @ a1667 ) ),
    inference(split,[status(esa)],[zip_derived_cl3377]) ).

thf('111',plain,
    ( ! [X8: $i] :
        ( ~ ( c0_1 @ X8 )
        | ( c1_1 @ X8 )
        | ~ ( c3_1 @ X8 ) )
    | hskp29
    | ~ ndr1_0
    | ! [X7: $i] :
        ( ( c0_1 @ X7 )
        | ( c1_1 @ X7 )
        | ~ ( c3_1 @ X7 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf('112',plain,
    ( ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c3_1 @ X10 ) )
    | ! [X20: $i] :
        ( ~ ( c3_1 @ X20 )
        | ~ ( c2_1 @ X20 )
        | ( c1_1 @ X20 ) )
    | ~ ndr1_0
    | ! [X63: $i] :
        ( ~ ( c3_1 @ X63 )
        | ( c2_1 @ X63 )
        | ( c0_1 @ X63 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl179,plain,
    ( ~ hskp46
    | ( c0_1 @ a1642 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('113',plain,
    ( ( c0_1 @ a1642 )
    | ~ hskp46 ),
    inference(split,[status(esa)],[zip_derived_cl179]) ).

thf(zip_derived_cl177,plain,
    ( ~ hskp46
    | ~ ( c2_1 @ a1642 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl830,plain,
    ( ~ ( c2_1 @ a1642 )
   <= ~ ( c2_1 @ a1642 ) ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf(zip_derived_cl384_040,plain,
    ( ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c3_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c3_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl2518,plain,
    ( ( ~ ( c0_1 @ a1642 )
      | ~ ( c3_1 @ a1642 ) )
   <= ( ~ ( c2_1 @ a1642 )
      & ! [X10: $i] :
          ( ( c2_1 @ X10 )
          | ~ ( c0_1 @ X10 )
          | ~ ( c3_1 @ X10 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl830,zip_derived_cl384]) ).

thf('114',plain,
    ( ~ ( c3_1 @ a1642 )
    | ( c2_1 @ a1642 )
    | ~ ! [X10: $i] :
          ( ( c2_1 @ X10 )
          | ~ ( c0_1 @ X10 )
          | ~ ( c3_1 @ X10 ) )
    | ~ ( c0_1 @ a1642 ) ),
    inference(split,[status(esa)],[zip_derived_cl2518]) ).

thf('115',plain,
    ( ~ ( c2_1 @ a1642 )
    | ~ hskp46 ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf(zip_derived_cl830_041,plain,
    ( ~ ( c2_1 @ a1642 )
   <= ~ ( c2_1 @ a1642 ) ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf(zip_derived_cl376_042,plain,
    ( ! [X6: $i] :
        ( ~ ( c0_1 @ X6 )
        | ( c2_1 @ X6 )
        | ( c3_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ~ ( c0_1 @ X6 )
        | ( c2_1 @ X6 )
        | ( c3_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl2517,plain,
    ( ( ~ ( c0_1 @ a1642 )
      | ( c3_1 @ a1642 ) )
   <= ( ~ ( c2_1 @ a1642 )
      & ! [X6: $i] :
          ( ~ ( c0_1 @ X6 )
          | ( c2_1 @ X6 )
          | ( c3_1 @ X6 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl830,zip_derived_cl376]) ).

thf('116',plain,
    ( ( c3_1 @ a1642 )
    | ( c2_1 @ a1642 )
    | ~ ! [X6: $i] :
          ( ~ ( c0_1 @ X6 )
          | ( c2_1 @ X6 )
          | ( c3_1 @ X6 ) )
    | ~ ( c0_1 @ a1642 ) ),
    inference(split,[status(esa)],[zip_derived_cl2517]) ).

thf(zip_derived_cl110,plain,
    ( ~ hskp63
    | ( c2_1 @ a1676 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl696,plain,
    ( ( c2_1 @ a1676 )
   <= ( c2_1 @ a1676 ) ),
    inference(split,[status(esa)],[zip_derived_cl110]) ).

thf(zip_derived_cl385,plain,
    ( ! [X9: $i] :
        ( ( c0_1 @ X9 )
        | ~ ( c3_1 @ X9 )
        | ~ ( c2_1 @ X9 ) )
   <= ! [X9: $i] :
        ( ( c0_1 @ X9 )
        | ~ ( c3_1 @ X9 )
        | ~ ( c2_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl4650,plain,
    ( ( ( c0_1 @ a1676 )
      | ~ ( c3_1 @ a1676 ) )
   <= ( ! [X9: $i] :
          ( ( c0_1 @ X9 )
          | ~ ( c3_1 @ X9 )
          | ~ ( c2_1 @ X9 ) )
      & ( c2_1 @ a1676 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl696,zip_derived_cl385]) ).

thf('117',plain,
    ( ( c0_1 @ a1676 )
    | ~ ( c2_1 @ a1676 )
    | ~ ! [X9: $i] :
          ( ( c0_1 @ X9 )
          | ~ ( c3_1 @ X9 )
          | ~ ( c2_1 @ X9 ) )
    | ~ ( c3_1 @ a1676 ) ),
    inference(split,[status(esa)],[zip_derived_cl4650]) ).

thf(zip_derived_cl109,plain,
    ( ~ hskp63
    | ~ ( c0_1 @ a1676 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('118',plain,
    ( ~ hskp63
    | ~ ( c0_1 @ a1676 ) ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf('119',plain,
    ( ( c2_1 @ a1676 )
    | ~ hskp63 ),
    inference(split,[status(esa)],[zip_derived_cl110]) ).

thf(zip_derived_cl111,plain,
    ( ~ hskp63
    | ( c3_1 @ a1676 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('120',plain,
    ( ( c3_1 @ a1676 )
    | ~ hskp63 ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl93,plain,
    ( ~ hskp67
    | ( c1_1 @ a1702 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl662,plain,
    ( ( c1_1 @ a1702 )
   <= ( c1_1 @ a1702 ) ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf(zip_derived_cl368_043,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl4478,plain,
    ( ( ~ ( c0_1 @ a1702 )
      | ~ ( c3_1 @ a1702 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ( c1_1 @ a1702 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl662,zip_derived_cl368]) ).

thf('121',plain,
    ( ~ ( c0_1 @ a1702 )
    | ~ ( c1_1 @ a1702 )
    | ~ ( c3_1 @ a1702 )
    | ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl4478]) ).

thf(zip_derived_cl35,plain,
    ! [X54: $i,X55: $i] :
      ( hskp63
      | ( c1_1 @ X54 )
      | ~ ( c0_1 @ X54 )
      | ~ ( c3_1 @ X54 )
      | ~ ndr1_0
      | ~ ( c2_1 @ X55 )
      | ~ ( c1_1 @ X55 )
      | ~ ( c3_1 @ X55 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('122',plain,
    ( ! [X55: $i] :
        ( ~ ( c2_1 @ X55 )
        | ~ ( c1_1 @ X55 )
        | ~ ( c3_1 @ X55 ) )
    | hskp63
    | ~ ndr1_0
    | ! [X8: $i] :
        ( ~ ( c0_1 @ X8 )
        | ( c1_1 @ X8 )
        | ~ ( c3_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl662_044,plain,
    ( ( c1_1 @ a1702 )
   <= ( c1_1 @ a1702 ) ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf(zip_derived_cl405_045,plain,
    ( ! [X19: $i] :
        ( ~ ( c1_1 @ X19 )
        | ~ ( c3_1 @ X19 )
        | ( c0_1 @ X19 ) )
   <= ! [X19: $i] :
        ( ~ ( c1_1 @ X19 )
        | ~ ( c3_1 @ X19 )
        | ( c0_1 @ X19 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl4481,plain,
    ( ( ~ ( c3_1 @ a1702 )
      | ( c0_1 @ a1702 ) )
   <= ( ! [X19: $i] :
          ( ~ ( c1_1 @ X19 )
          | ~ ( c3_1 @ X19 )
          | ( c0_1 @ X19 ) )
      & ( c1_1 @ a1702 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl662,zip_derived_cl405]) ).

thf('123',plain,
    ( ~ ! [X19: $i] :
          ( ~ ( c1_1 @ X19 )
          | ~ ( c3_1 @ X19 )
          | ( c0_1 @ X19 ) )
    | ( c0_1 @ a1702 )
    | ~ ( c3_1 @ a1702 )
    | ~ ( c1_1 @ a1702 ) ),
    inference(split,[status(esa)],[zip_derived_cl4481]) ).

thf(zip_derived_cl94,plain,
    ( ~ hskp67
    | ( c2_1 @ a1702 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('124',plain,
    ( ~ hskp67
    | ( c2_1 @ a1702 ) ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf(zip_derived_cl662_046,plain,
    ( ( c1_1 @ a1702 )
   <= ( c1_1 @ a1702 ) ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf(zip_derived_cl500,plain,
    ( ! [X55: $i] :
        ( ~ ( c2_1 @ X55 )
        | ~ ( c1_1 @ X55 )
        | ~ ( c3_1 @ X55 ) )
   <= ! [X55: $i] :
        ( ~ ( c2_1 @ X55 )
        | ~ ( c1_1 @ X55 )
        | ~ ( c3_1 @ X55 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl4486,plain,
    ( ( ~ ( c2_1 @ a1702 )
      | ~ ( c3_1 @ a1702 ) )
   <= ( ! [X55: $i] :
          ( ~ ( c2_1 @ X55 )
          | ~ ( c1_1 @ X55 )
          | ~ ( c3_1 @ X55 ) )
      & ( c1_1 @ a1702 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl662,zip_derived_cl500]) ).

thf('125',plain,
    ( ~ ( c2_1 @ a1702 )
    | ~ ( c1_1 @ a1702 )
    | ~ ! [X55: $i] :
          ( ~ ( c2_1 @ X55 )
          | ~ ( c1_1 @ X55 )
          | ~ ( c3_1 @ X55 ) )
    | ~ ( c3_1 @ a1702 ) ),
    inference(split,[status(esa)],[zip_derived_cl4486]) ).

thf('126',plain,
    ( ( c1_1 @ a1702 )
    | ~ hskp67 ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf(zip_derived_cl95,plain,
    ( ~ hskp67
    | ( c3_1 @ a1702 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('127',plain,
    ( ( c3_1 @ a1702 )
    | ~ hskp67 ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl21,plain,
    ! [X38: $i,X39: $i] :
      ( ( c1_1 @ X38 )
      | ~ ( c3_1 @ X38 )
      | ~ ( c2_1 @ X38 )
      | ~ ndr1_0
      | ~ ( c3_1 @ X39 )
      | ~ ( c0_1 @ X39 )
      | ( c1_1 @ X39 )
      | ~ ndr1_0
      | hskp67 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('128',plain,
    ( hskp67
    | ! [X20: $i] :
        ( ~ ( c3_1 @ X20 )
        | ~ ( c2_1 @ X20 )
        | ( c1_1 @ X20 ) )
    | ~ ndr1_0
    | ! [X8: $i] :
        ( ~ ( c0_1 @ X8 )
        | ( c1_1 @ X8 )
        | ~ ( c3_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl199,plain,
    ( ~ hskp41
    | ~ ( c1_1 @ a1726 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl874,plain,
    ( ~ ( c1_1 @ a1726 )
   <= ~ ( c1_1 @ a1726 ) ),
    inference(split,[status(esa)],[zip_derived_cl199]) ).

thf(zip_derived_cl380_047,plain,
    ( ! [X8: $i] :
        ( ~ ( c0_1 @ X8 )
        | ( c1_1 @ X8 )
        | ~ ( c3_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ~ ( c0_1 @ X8 )
        | ( c1_1 @ X8 )
        | ~ ( c3_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf(zip_derived_cl2611,plain,
    ( ( ~ ( c0_1 @ a1726 )
      | ~ ( c3_1 @ a1726 ) )
   <= ( ~ ( c1_1 @ a1726 )
      & ! [X8: $i] :
          ( ~ ( c0_1 @ X8 )
          | ( c1_1 @ X8 )
          | ~ ( c3_1 @ X8 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl874,zip_derived_cl380]) ).

thf('129',plain,
    ( ( c1_1 @ a1726 )
    | ~ ( c3_1 @ a1726 )
    | ~ ! [X8: $i] :
          ( ~ ( c0_1 @ X8 )
          | ( c1_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
    | ~ ( c0_1 @ a1726 ) ),
    inference(split,[status(esa)],[zip_derived_cl2611]) ).

thf('130',plain,
    ( hskp30
    | ! [X0: $i] :
        ( ( c2_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ( c0_1 @ X0 ) )
    | ~ ndr1_0
    | hskp41 ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf(zip_derived_cl57,plain,
    ! [X86: $i,X87: $i] :
      ( ( c0_1 @ X86 )
      | ~ ( c1_1 @ X86 )
      | ( c2_1 @ X86 )
      | ~ ndr1_0
      | hskp46
      | ~ ( c2_1 @ X87 )
      | ( c0_1 @ X87 )
      | ~ ( c3_1 @ X87 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('131',plain,
    ( ! [X0: $i] :
        ( ( c2_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ( c0_1 @ X0 ) )
    | hskp46
    | ~ ndr1_0
    | ! [X9: $i] :
        ( ( c0_1 @ X9 )
        | ~ ( c3_1 @ X9 )
        | ~ ( c2_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf(zip_derived_cl381_048,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_cl4]) ).

thf(zip_derived_cl364_049,plain,
    ( ! [X0: $i] :
        ( ( c2_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ( c0_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ( c2_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ( c0_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf(zip_derived_cl1240,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ( c0_1 @ X0 )
        | ( c2_1 @ X0 )
        | ( c0_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ( c2_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ( c0_1 @ X0 ) )
      & ! [X7: $i] :
          ( ( c0_1 @ X7 )
          | ( c1_1 @ X7 )
          | ~ ( c3_1 @ X7 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl381,zip_derived_cl364]) ).

thf(zip_derived_cl1244,plain,
    ( ! [X0: $i] :
        ( ( c2_1 @ X0 )
        | ( c0_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ( c2_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ( c0_1 @ X0 ) )
      & ! [X7: $i] :
          ( ( c0_1 @ X7 )
          | ( c1_1 @ X7 )
          | ~ ( c3_1 @ X7 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1240]) ).

thf(zip_derived_cl896_050,plain,
    ( ~ ( c2_1 @ a1718 )
   <= ~ ( c2_1 @ a1718 ) ),
    inference(split,[status(esa)],[zip_derived_cl210]) ).

thf(zip_derived_cl2685,plain,
    ( ( ~ ( c3_1 @ a1718 )
      | ( c0_1 @ a1718 ) )
   <= ( ~ ( c2_1 @ a1718 )
      & ! [X0: $i] :
          ( ( c2_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ( c0_1 @ X0 ) )
      & ! [X7: $i] :
          ( ( c0_1 @ X7 )
          | ( c1_1 @ X7 )
          | ~ ( c3_1 @ X7 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1244,zip_derived_cl896]) ).

thf('132',plain,
    ( ~ ! [X7: $i] :
          ( ( c0_1 @ X7 )
          | ( c1_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
    | ~ ! [X0: $i] :
          ( ( c2_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ( c0_1 @ X0 ) )
    | ( c2_1 @ a1718 )
    | ~ ( c3_1 @ a1718 )
    | ( c0_1 @ a1718 ) ),
    inference(split,[status(esa)],[zip_derived_cl2685]) ).

thf(zip_derived_cl874_051,plain,
    ( ~ ( c1_1 @ a1726 )
   <= ~ ( c1_1 @ a1726 ) ),
    inference(split,[status(esa)],[zip_derived_cl199]) ).

thf(zip_derived_cl404_052,plain,
    ( ! [X20: $i] :
        ( ~ ( c3_1 @ X20 )
        | ~ ( c2_1 @ X20 )
        | ( c1_1 @ X20 ) )
   <= ! [X20: $i] :
        ( ~ ( c3_1 @ X20 )
        | ~ ( c2_1 @ X20 )
        | ( c1_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl2613,plain,
    ( ( ~ ( c3_1 @ a1726 )
      | ~ ( c2_1 @ a1726 ) )
   <= ( ~ ( c1_1 @ a1726 )
      & ! [X20: $i] :
          ( ~ ( c3_1 @ X20 )
          | ~ ( c2_1 @ X20 )
          | ( c1_1 @ X20 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl874,zip_derived_cl404]) ).

thf('133',plain,
    ( ( c1_1 @ a1726 )
    | ~ ( c2_1 @ a1726 )
    | ~ ! [X20: $i] :
          ( ~ ( c3_1 @ X20 )
          | ~ ( c2_1 @ X20 )
          | ( c1_1 @ X20 ) )
    | ~ ( c3_1 @ a1726 ) ),
    inference(split,[status(esa)],[zip_derived_cl2613]) ).

thf(zip_derived_cl197,plain,
    ( ~ hskp41
    | ( c0_1 @ a1726 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('134',plain,
    ( ( c0_1 @ a1726 )
    | ~ hskp41 ),
    inference(split,[status(esa)],[zip_derived_cl197]) ).

thf(zip_derived_cl198,plain,
    ( ~ hskp41
    | ( c2_1 @ a1726 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('135',plain,
    ( ~ hskp41
    | ( c2_1 @ a1726 ) ),
    inference(split,[status(esa)],[zip_derived_cl198]) ).

thf('136',plain,
    ( ~ hskp41
    | ~ ( c1_1 @ a1726 ) ),
    inference(split,[status(esa)],[zip_derived_cl199]) ).

thf(zip_derived_cl896_053,plain,
    ( ~ ( c2_1 @ a1718 )
   <= ~ ( c2_1 @ a1718 ) ),
    inference(split,[status(esa)],[zip_derived_cl210]) ).

thf(zip_derived_cl516_054,plain,
    ( ! [X63: $i] :
        ( ~ ( c3_1 @ X63 )
        | ( c2_1 @ X63 )
        | ( c0_1 @ X63 ) )
   <= ! [X63: $i] :
        ( ~ ( c3_1 @ X63 )
        | ( c2_1 @ X63 )
        | ( c0_1 @ X63 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl2680,plain,
    ( ( ~ ( c3_1 @ a1718 )
      | ( c0_1 @ a1718 ) )
   <= ( ~ ( c2_1 @ a1718 )
      & ! [X63: $i] :
          ( ~ ( c3_1 @ X63 )
          | ( c2_1 @ X63 )
          | ( c0_1 @ X63 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl896,zip_derived_cl516]) ).

thf('137',plain,
    ( ~ ! [X63: $i] :
          ( ~ ( c3_1 @ X63 )
          | ( c2_1 @ X63 )
          | ( c0_1 @ X63 ) )
    | ~ ( c3_1 @ a1718 )
    | ( c2_1 @ a1718 )
    | ( c0_1 @ a1718 ) ),
    inference(split,[status(esa)],[zip_derived_cl2680]) ).

thf(zip_derived_cl209,plain,
    ( ~ hskp38
    | ( c3_1 @ a1718 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('138',plain,
    ( ( c3_1 @ a1718 )
    | ~ hskp38 ),
    inference(split,[status(esa)],[zip_derived_cl209]) ).

thf('139',plain,
    ( ~ ( c2_1 @ a1718 )
    | ~ hskp38 ),
    inference(split,[status(esa)],[zip_derived_cl210]) ).

thf(zip_derived_cl211,plain,
    ( ~ hskp38
    | ~ ( c0_1 @ a1718 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('140',plain,
    ( ~ ( c0_1 @ a1718 )
    | ~ hskp38 ),
    inference(split,[status(esa)],[zip_derived_cl211]) ).

thf('141',plain,
    ( hskp38
    | hskp74
    | ~ ndr1_0
    | ! [X18: $i] :
        ( ~ ( c3_1 @ X18 )
        | ~ ( c2_1 @ X18 )
        | ~ ( c0_1 @ X18 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl153,plain,
    ( ~ hskp52
    | ( c0_1 @ a1654 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('142',plain,
    ( ( c0_1 @ a1654 )
    | ~ hskp52 ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf('143',plain,
    ( ( c2_1 @ a1654 )
    | ~ hskp52 ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl155,plain,
    ( ~ hskp52
    | ( c3_1 @ a1654 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('144',plain,
    ( ( c3_1 @ a1654 )
    | ~ hskp52 ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf(zip_derived_cl784_055,plain,
    ( ( c2_1 @ a1654 )
   <= ( c2_1 @ a1654 ) ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl400_056,plain,
    ( ! [X18: $i] :
        ( ~ ( c3_1 @ X18 )
        | ~ ( c2_1 @ X18 )
        | ~ ( c0_1 @ X18 ) )
   <= ! [X18: $i] :
        ( ~ ( c3_1 @ X18 )
        | ~ ( c2_1 @ X18 )
        | ~ ( c0_1 @ X18 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl5409,plain,
    ( ( ~ ( c3_1 @ a1654 )
      | ~ ( c0_1 @ a1654 ) )
   <= ( ! [X18: $i] :
          ( ~ ( c3_1 @ X18 )
          | ~ ( c2_1 @ X18 )
          | ~ ( c0_1 @ X18 ) )
      & ( c2_1 @ a1654 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl784,zip_derived_cl400]) ).

thf('145',plain,
    ( ~ ! [X18: $i] :
          ( ~ ( c3_1 @ X18 )
          | ~ ( c2_1 @ X18 )
          | ~ ( c0_1 @ X18 ) )
    | ~ ( c0_1 @ a1654 )
    | ~ ( c2_1 @ a1654 )
    | ~ ( c3_1 @ a1654 ) ),
    inference(split,[status(esa)],[zip_derived_cl5409]) ).

thf(zip_derived_cl24,plain,
    ( hskp29
    | hskp52
    | hskp53 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('146',plain,
    ( hskp52
    | hskp29
    | hskp53 ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl149,plain,
    ( ~ hskp53
    | ~ ( c3_1 @ a1656 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('147',plain,
    ( ~ hskp53
    | ~ ( c3_1 @ a1656 ) ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl150,plain,
    ( ~ hskp53
    | ( c2_1 @ a1656 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('148',plain,
    ( ( c2_1 @ a1656 )
    | ~ hskp53 ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf(zip_derived_cl151,plain,
    ( ~ hskp53
    | ( c0_1 @ a1656 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('149',plain,
    ( ( c0_1 @ a1656 )
    | ~ hskp53 ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl776,plain,
    ( ( c2_1 @ a1656 )
   <= ( c2_1 @ a1656 ) ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf(zip_derived_cl412_057,plain,
    ( ! [X24: $i] :
        ( ( c3_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c2_1 @ X24 ) )
   <= ! [X24: $i] :
        ( ( c3_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c2_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl5324,plain,
    ( ( ( c3_1 @ a1656 )
      | ~ ( c0_1 @ a1656 ) )
   <= ( ! [X24: $i] :
          ( ( c3_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c2_1 @ X24 ) )
      & ( c2_1 @ a1656 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl776,zip_derived_cl412]) ).

thf('150',plain,
    ( ( c3_1 @ a1656 )
    | ~ ( c0_1 @ a1656 )
    | ~ ! [X24: $i] :
          ( ( c3_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c2_1 @ X24 ) )
    | ~ ( c2_1 @ a1656 ) ),
    inference(split,[status(esa)],[zip_derived_cl5324]) ).

thf(zip_derived_cl65,plain,
    ( ~ hskp74
    | ~ ( c3_1 @ a1717 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('151',plain,
    ( ~ hskp74
    | ~ ( c3_1 @ a1717 ) ),
    inference(split,[status(esa)],[zip_derived_cl65]) ).

thf(zip_derived_cl66,plain,
    ( ~ hskp74
    | ( c0_1 @ a1717 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('152',plain,
    ( ( c0_1 @ a1717 )
    | ~ hskp74 ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf(zip_derived_cl67,plain,
    ( ~ hskp74
    | ( c2_1 @ a1717 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('153',plain,
    ( ( c2_1 @ a1717 )
    | ~ hskp74 ),
    inference(split,[status(esa)],[zip_derived_cl67]) ).

thf(zip_derived_cl610,plain,
    ( ( c2_1 @ a1717 )
   <= ( c2_1 @ a1717 ) ),
    inference(split,[status(esa)],[zip_derived_cl67]) ).

thf(zip_derived_cl412_058,plain,
    ( ! [X24: $i] :
        ( ( c3_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c2_1 @ X24 ) )
   <= ! [X24: $i] :
        ( ( c3_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c2_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl4034,plain,
    ( ( ( c3_1 @ a1717 )
      | ~ ( c0_1 @ a1717 ) )
   <= ( ! [X24: $i] :
          ( ( c3_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c2_1 @ X24 ) )
      & ( c2_1 @ a1717 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl610,zip_derived_cl412]) ).

thf('154',plain,
    ( ( c3_1 @ a1717 )
    | ~ ( c2_1 @ a1717 )
    | ~ ! [X24: $i] :
          ( ( c3_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c2_1 @ X24 ) )
    | ~ ( c0_1 @ a1717 ) ),
    inference(split,[status(esa)],[zip_derived_cl4034]) ).

thf(zip_derived_cl872,plain,
    ( ( c2_1 @ a1726 )
   <= ( c2_1 @ a1726 ) ),
    inference(split,[status(esa)],[zip_derived_cl198]) ).

thf(zip_derived_cl412_059,plain,
    ( ! [X24: $i] :
        ( ( c3_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c2_1 @ X24 ) )
   <= ! [X24: $i] :
        ( ( c3_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c2_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl6062,plain,
    ( ( ( c3_1 @ a1726 )
      | ~ ( c0_1 @ a1726 ) )
   <= ( ! [X24: $i] :
          ( ( c3_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c2_1 @ X24 ) )
      & ( c2_1 @ a1726 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl872,zip_derived_cl412]) ).

thf('155',plain,
    ( ( c3_1 @ a1726 )
    | ~ ( c2_1 @ a1726 )
    | ~ ! [X24: $i] :
          ( ( c3_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c2_1 @ X24 ) )
    | ~ ( c0_1 @ a1726 ) ),
    inference(split,[status(esa)],[zip_derived_cl6062]) ).

thf(zip_derived_cl114,plain,
    ( ~ hskp62
    | ( c1_1 @ a1675 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl704,plain,
    ( ( c1_1 @ a1675 )
   <= ( c1_1 @ a1675 ) ),
    inference(split,[status(esa)],[zip_derived_cl114]) ).

thf(zip_derived_cl377,plain,
    ( ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl4728,plain,
    ( ( ( c2_1 @ a1675 )
      | ~ ( c0_1 @ a1675 ) )
   <= ( ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c1_1 @ X5 ) )
      & ( c1_1 @ a1675 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl704,zip_derived_cl377]) ).

thf('156',plain,
    ( ( c2_1 @ a1675 )
    | ~ ( c0_1 @ a1675 )
    | ~ ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c1_1 @ X5 ) )
    | ~ ( c1_1 @ a1675 ) ),
    inference(split,[status(esa)],[zip_derived_cl4728]) ).

thf(zip_derived_cl704_060,plain,
    ( ( c1_1 @ a1675 )
   <= ( c1_1 @ a1675 ) ),
    inference(split,[status(esa)],[zip_derived_cl114]) ).

thf(zip_derived_cl14,plain,
    ! [X26: $i,X27: $i] :
      ( ~ ( c2_1 @ X26 )
      | ~ ( c1_1 @ X26 )
      | ~ ( c0_1 @ X26 )
      | ~ ndr1_0
      | ( c2_1 @ X27 )
      | ~ ( c1_1 @ X27 )
      | ~ ( c3_1 @ X27 )
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl421,plain,
    ( ! [X26: $i] :
        ( ~ ( c2_1 @ X26 )
        | ~ ( c1_1 @ X26 )
        | ~ ( c0_1 @ X26 ) )
   <= ! [X26: $i] :
        ( ~ ( c2_1 @ X26 )
        | ~ ( c1_1 @ X26 )
        | ~ ( c0_1 @ X26 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl4730,plain,
    ( ( ~ ( c2_1 @ a1675 )
      | ~ ( c0_1 @ a1675 ) )
   <= ( ! [X26: $i] :
          ( ~ ( c2_1 @ X26 )
          | ~ ( c1_1 @ X26 )
          | ~ ( c0_1 @ X26 ) )
      & ( c1_1 @ a1675 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl704,zip_derived_cl421]) ).

thf(zip_derived_cl14175,plain,
    ( ~ ( c2_1 @ a1675 )
   <= ~ ( c2_1 @ a1675 ) ),
    inference(split,[status(esa)],[zip_derived_cl4730]) ).

thf(zip_derived_cl376_061,plain,
    ( ! [X6: $i] :
        ( ~ ( c0_1 @ X6 )
        | ( c2_1 @ X6 )
        | ( c3_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ~ ( c0_1 @ X6 )
        | ( c2_1 @ X6 )
        | ( c3_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl14201,plain,
    ( ( ~ ( c0_1 @ a1675 )
      | ( c3_1 @ a1675 ) )
   <= ( ~ ( c2_1 @ a1675 )
      & ! [X6: $i] :
          ( ~ ( c0_1 @ X6 )
          | ( c2_1 @ X6 )
          | ( c3_1 @ X6 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl14175,zip_derived_cl376]) ).

thf('157',plain,
    ( ( c2_1 @ a1675 )
    | ( c3_1 @ a1675 )
    | ~ ! [X6: $i] :
          ( ~ ( c0_1 @ X6 )
          | ( c2_1 @ X6 )
          | ( c3_1 @ X6 ) )
    | ~ ( c0_1 @ a1675 ) ),
    inference(split,[status(esa)],[zip_derived_cl14201]) ).

thf(zip_derived_cl21932,plain,
    ( ( c2_1 @ a1675 )
   <= ( c2_1 @ a1675 ) ),
    inference(split,[status(esa)],[zip_derived_cl4728]) ).

thf(zip_derived_cl412_062,plain,
    ( ! [X24: $i] :
        ( ( c3_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c2_1 @ X24 ) )
   <= ! [X24: $i] :
        ( ( c3_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c2_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl21957,plain,
    ( ( ( c3_1 @ a1675 )
      | ~ ( c0_1 @ a1675 ) )
   <= ( ! [X24: $i] :
          ( ( c3_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c2_1 @ X24 ) )
      & ( c2_1 @ a1675 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl21932,zip_derived_cl412]) ).

thf('158',plain,
    ( ( c3_1 @ a1675 )
    | ~ ( c2_1 @ a1675 )
    | ~ ! [X24: $i] :
          ( ( c3_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c2_1 @ X24 ) )
    | ~ ( c0_1 @ a1675 ) ),
    inference(split,[status(esa)],[zip_derived_cl21957]) ).

thf(zip_derived_cl113,plain,
    ( ~ hskp62
    | ~ ( c3_1 @ a1675 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('159',plain,
    ( ~ hskp62
    | ~ ( c3_1 @ a1675 ) ),
    inference(split,[status(esa)],[zip_derived_cl113]) ).

thf('160',plain,
    ( ~ hskp62
    | ( c1_1 @ a1675 ) ),
    inference(split,[status(esa)],[zip_derived_cl114]) ).

thf(zip_derived_cl115,plain,
    ( ~ hskp62
    | ( c0_1 @ a1675 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('161',plain,
    ( ( c0_1 @ a1675 )
    | ~ hskp62 ),
    inference(split,[status(esa)],[zip_derived_cl115]) ).

thf(zip_derived_cl37,plain,
    ! [X59: $i] :
      ( ~ ( c1_1 @ X59 )
      | ~ ( c3_1 @ X59 )
      | ( c0_1 @ X59 )
      | ~ ndr1_0
      | hskp61
      | hskp62 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('162',plain,
    ( hskp62
    | hskp61
    | ~ ndr1_0
    | ! [X19: $i] :
        ( ~ ( c1_1 @ X19 )
        | ~ ( c3_1 @ X19 )
        | ( c0_1 @ X19 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf('163',plain,
    ( ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c1_1 @ X5 ) )
    | hskp61
    | ~ ndr1_0
    | ! [X6: $i] :
        ( ~ ( c0_1 @ X6 )
        | ( c2_1 @ X6 )
        | ( c3_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl245,plain,
    ( ~ hskp29
    | ( c2_1 @ a1695 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('164',plain,
    ( ~ hskp29
    | ( c2_1 @ a1695 ) ),
    inference(split,[status(esa)],[zip_derived_cl245]) ).

thf(zip_derived_cl246,plain,
    ( ~ hskp29
    | ( c0_1 @ a1695 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('165',plain,
    ( ~ hskp29
    | ( c0_1 @ a1695 ) ),
    inference(split,[status(esa)],[zip_derived_cl246]) ).

thf(zip_derived_cl247,plain,
    ( ~ hskp29
    | ~ ( c3_1 @ a1695 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('166',plain,
    ( ~ hskp29
    | ~ ( c3_1 @ a1695 ) ),
    inference(split,[status(esa)],[zip_derived_cl247]) ).

thf(zip_derived_cl966,plain,
    ( ( c2_1 @ a1695 )
   <= ( c2_1 @ a1695 ) ),
    inference(split,[status(esa)],[zip_derived_cl245]) ).

thf(zip_derived_cl412_063,plain,
    ( ! [X24: $i] :
        ( ( c3_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c2_1 @ X24 ) )
   <= ! [X24: $i] :
        ( ( c3_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c2_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl6544,plain,
    ( ( ( c3_1 @ a1695 )
      | ~ ( c0_1 @ a1695 ) )
   <= ( ! [X24: $i] :
          ( ( c3_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c2_1 @ X24 ) )
      & ( c2_1 @ a1695 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl966,zip_derived_cl412]) ).

thf('167',plain,
    ( ( c3_1 @ a1695 )
    | ~ ( c0_1 @ a1695 )
    | ~ ! [X24: $i] :
          ( ( c3_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c2_1 @ X24 ) )
    | ~ ( c2_1 @ a1695 ) ),
    inference(split,[status(esa)],[zip_derived_cl6544]) ).

thf(zip_derived_cl710_064,plain,
    ( ~ ( c1_1 @ a1674 )
   <= ~ ( c1_1 @ a1674 ) ),
    inference(split,[status(esa)],[zip_derived_cl117]) ).

thf(zip_derived_cl381_065,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_cl4]) ).

thf(zip_derived_cl2279,plain,
    ( ( ( c0_1 @ a1674 )
      | ~ ( c3_1 @ a1674 ) )
   <= ( ~ ( c1_1 @ a1674 )
      & ! [X7: $i] :
          ( ( c0_1 @ X7 )
          | ( c1_1 @ X7 )
          | ~ ( c3_1 @ X7 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl710,zip_derived_cl381]) ).

thf('168',plain,
    ( ( c0_1 @ a1674 )
    | ~ ! [X7: $i] :
          ( ( c0_1 @ X7 )
          | ( c1_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
    | ( c1_1 @ a1674 )
    | ~ ( c3_1 @ a1674 ) ),
    inference(split,[status(esa)],[zip_derived_cl2279]) ).

thf(zip_derived_cl281,plain,
    ( ~ hskp20
    | ~ ( c2_1 @ a1682 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1038,plain,
    ( ~ ( c2_1 @ a1682 )
   <= ~ ( c2_1 @ a1682 ) ),
    inference(split,[status(esa)],[zip_derived_cl281]) ).

thf(zip_derived_cl376_066,plain,
    ( ! [X6: $i] :
        ( ~ ( c0_1 @ X6 )
        | ( c2_1 @ X6 )
        | ( c3_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ~ ( c0_1 @ X6 )
        | ( c2_1 @ X6 )
        | ( c3_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl3068,plain,
    ( ( ~ ( c0_1 @ a1682 )
      | ( c3_1 @ a1682 ) )
   <= ( ~ ( c2_1 @ a1682 )
      & ! [X6: $i] :
          ( ~ ( c0_1 @ X6 )
          | ( c2_1 @ X6 )
          | ( c3_1 @ X6 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1038,zip_derived_cl376]) ).

thf('169',plain,
    ( ~ ( c0_1 @ a1682 )
    | ( c3_1 @ a1682 )
    | ~ ! [X6: $i] :
          ( ~ ( c0_1 @ X6 )
          | ( c2_1 @ X6 )
          | ( c3_1 @ X6 ) )
    | ( c2_1 @ a1682 ) ),
    inference(split,[status(esa)],[zip_derived_cl3068]) ).

thf(zip_derived_cl287,plain,
    ( ~ hskp19
    | ~ ( c2_1 @ a1681 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1050,plain,
    ( ~ ( c2_1 @ a1681 )
   <= ~ ( c2_1 @ a1681 ) ),
    inference(split,[status(esa)],[zip_derived_cl287]) ).

thf(zip_derived_cl376_067,plain,
    ( ! [X6: $i] :
        ( ~ ( c0_1 @ X6 )
        | ( c2_1 @ X6 )
        | ( c3_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ~ ( c0_1 @ X6 )
        | ( c2_1 @ X6 )
        | ( c3_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl3135,plain,
    ( ( ~ ( c0_1 @ a1681 )
      | ( c3_1 @ a1681 ) )
   <= ( ~ ( c2_1 @ a1681 )
      & ! [X6: $i] :
          ( ~ ( c0_1 @ X6 )
          | ( c2_1 @ X6 )
          | ( c3_1 @ X6 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1050,zip_derived_cl376]) ).

thf('170',plain,
    ( ~ ( c0_1 @ a1681 )
    | ~ ! [X6: $i] :
          ( ~ ( c0_1 @ X6 )
          | ( c2_1 @ X6 )
          | ( c3_1 @ X6 ) )
    | ( c2_1 @ a1681 )
    | ( c3_1 @ a1681 ) ),
    inference(split,[status(esa)],[zip_derived_cl3135]) ).

thf(zip_derived_cl285,plain,
    ( ~ hskp19
    | ~ ( c1_1 @ a1681 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1046,plain,
    ( ~ ( c1_1 @ a1681 )
   <= ~ ( c1_1 @ a1681 ) ),
    inference(split,[status(esa)],[zip_derived_cl285]) ).

thf(zip_derived_cl413_068,plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ( c2_1 @ X23 )
        | ( c0_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ( c2_1 @ X23 )
        | ( c0_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl3118,plain,
    ( ( ( c2_1 @ a1681 )
      | ( c0_1 @ a1681 ) )
   <= ( ~ ( c1_1 @ a1681 )
      & ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ( c2_1 @ X23 )
          | ( c0_1 @ X23 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1046,zip_derived_cl413]) ).

thf('171',plain,
    ( ( c0_1 @ a1681 )
    | ( c1_1 @ a1681 )
    | ~ ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ( c2_1 @ X23 )
          | ( c0_1 @ X23 ) )
    | ( c2_1 @ a1681 ) ),
    inference(split,[status(esa)],[zip_derived_cl3118]) ).

thf('172',plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ( c2_1 @ X23 )
        | ( c0_1 @ X23 ) )
    | ! [X22: $i] :
        ( ( c2_1 @ X22 )
        | ( c1_1 @ X22 )
        | ( c3_1 @ X22 ) )
    | ~ ndr1_0
    | ! [X24: $i] :
        ( ( c3_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c2_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf('173',plain,
    ( ~ ( c1_1 @ a1681 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl285]) ).

thf(zip_derived_cl286,plain,
    ( ~ hskp19
    | ~ ( c3_1 @ a1681 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('174',plain,
    ( ~ ( c3_1 @ a1681 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl286]) ).

thf('175',plain,
    ( ~ ( c2_1 @ a1681 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl287]) ).

thf('176',plain,
    ( hskp19
    | hskp20
    | ~ ndr1_0
    | ! [X51: $i] :
        ( ~ ( c0_1 @ X51 )
        | ~ ( c1_1 @ X51 )
        | ( c3_1 @ X51 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf('177',plain,
    ( ~ ( c2_1 @ a1682 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl281]) ).

thf(zip_derived_cl282,plain,
    ( ~ hskp20
    | ~ ( c1_1 @ a1682 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('178',plain,
    ( ~ ( c1_1 @ a1682 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl282]) ).

thf(zip_derived_cl283,plain,
    ( ~ hskp20
    | ~ ( c3_1 @ a1682 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('179',plain,
    ( ~ ( c3_1 @ a1682 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl283]) ).

thf(zip_derived_cl1040,plain,
    ( ~ ( c1_1 @ a1682 )
   <= ~ ( c1_1 @ a1682 ) ),
    inference(split,[status(esa)],[zip_derived_cl282]) ).

thf(zip_derived_cl414_069,plain,
    ( ! [X22: $i] :
        ( ( c2_1 @ X22 )
        | ( c1_1 @ X22 )
        | ( c3_1 @ X22 ) )
   <= ! [X22: $i] :
        ( ( c2_1 @ X22 )
        | ( c1_1 @ X22 )
        | ( c3_1 @ X22 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl3089,plain,
    ( ( ( c2_1 @ a1682 )
      | ( c3_1 @ a1682 ) )
   <= ( ~ ( c1_1 @ a1682 )
      & ! [X22: $i] :
          ( ( c2_1 @ X22 )
          | ( c1_1 @ X22 )
          | ( c3_1 @ X22 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1040,zip_derived_cl414]) ).

thf('180',plain,
    ( ( c1_1 @ a1682 )
    | ( c3_1 @ a1682 )
    | ~ ! [X22: $i] :
          ( ( c2_1 @ X22 )
          | ( c1_1 @ X22 )
          | ( c3_1 @ X22 ) )
    | ( c2_1 @ a1682 ) ),
    inference(split,[status(esa)],[zip_derived_cl3089]) ).

thf(zip_derived_cl1046_070,plain,
    ( ~ ( c1_1 @ a1681 )
   <= ~ ( c1_1 @ a1681 ) ),
    inference(split,[status(esa)],[zip_derived_cl285]) ).

thf(zip_derived_cl414_071,plain,
    ( ! [X22: $i] :
        ( ( c2_1 @ X22 )
        | ( c1_1 @ X22 )
        | ( c3_1 @ X22 ) )
   <= ! [X22: $i] :
        ( ( c2_1 @ X22 )
        | ( c1_1 @ X22 )
        | ( c3_1 @ X22 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl3117,plain,
    ( ( ( c2_1 @ a1681 )
      | ( c3_1 @ a1681 ) )
   <= ( ~ ( c1_1 @ a1681 )
      & ! [X22: $i] :
          ( ( c2_1 @ X22 )
          | ( c1_1 @ X22 )
          | ( c3_1 @ X22 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1046,zip_derived_cl414]) ).

thf('181',plain,
    ( ( c1_1 @ a1681 )
    | ( c2_1 @ a1681 )
    | ~ ! [X22: $i] :
          ( ( c2_1 @ X22 )
          | ( c1_1 @ X22 )
          | ( c3_1 @ X22 ) )
    | ( c3_1 @ a1681 ) ),
    inference(split,[status(esa)],[zip_derived_cl3117]) ).

thf(zip_derived_cl193,plain,
    ( ~ hskp42
    | ( c1_1 @ a1638 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('182',plain,
    ( ( c1_1 @ a1638 )
    | ~ hskp42 ),
    inference(split,[status(esa)],[zip_derived_cl193]) ).

thf(zip_derived_cl194,plain,
    ( ~ hskp42
    | ~ ( c3_1 @ a1638 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('183',plain,
    ( ~ ( c3_1 @ a1638 )
    | ~ hskp42 ),
    inference(split,[status(esa)],[zip_derived_cl194]) ).

thf(zip_derived_cl195,plain,
    ( ~ hskp42
    | ( c0_1 @ a1638 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('184',plain,
    ( ( c0_1 @ a1638 )
    | ~ hskp42 ),
    inference(split,[status(esa)],[zip_derived_cl195]) ).

thf(zip_derived_cl862,plain,
    ( ( c1_1 @ a1638 )
   <= ( c1_1 @ a1638 ) ),
    inference(split,[status(esa)],[zip_derived_cl193]) ).

thf(zip_derived_cl488_072,plain,
    ( ! [X51: $i] :
        ( ~ ( c0_1 @ X51 )
        | ~ ( c1_1 @ X51 )
        | ( c3_1 @ X51 ) )
   <= ! [X51: $i] :
        ( ~ ( c0_1 @ X51 )
        | ~ ( c1_1 @ X51 )
        | ( c3_1 @ X51 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl5979,plain,
    ( ( ~ ( c0_1 @ a1638 )
      | ( c3_1 @ a1638 ) )
   <= ( ! [X51: $i] :
          ( ~ ( c0_1 @ X51 )
          | ~ ( c1_1 @ X51 )
          | ( c3_1 @ X51 ) )
      & ( c1_1 @ a1638 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl862,zip_derived_cl488]) ).

thf('185',plain,
    ( ~ ! [X51: $i] :
          ( ~ ( c0_1 @ X51 )
          | ~ ( c1_1 @ X51 )
          | ( c3_1 @ X51 ) )
    | ( c3_1 @ a1638 )
    | ~ ( c0_1 @ a1638 )
    | ~ ( c1_1 @ a1638 ) ),
    inference(split,[status(esa)],[zip_derived_cl5979]) ).

thf(zip_derived_cl59,plain,
    ! [X88: $i] :
      ( hskp0
      | ~ ( c2_1 @ X88 )
      | ~ ( c0_1 @ X88 )
      | ( c3_1 @ X88 )
      | ~ ndr1_0
      | hskp42 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('186',plain,
    ( hskp42
    | hskp0
    | ~ ndr1_0
    | ! [X24: $i] :
        ( ( c3_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c2_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf('187',plain,
    ( ~ ! [X4: $i] :
          ( ~ ( c3_1 @ X4 )
          | ( c1_1 @ X4 )
          | ( c2_1 @ X4 ) )
    | ( c2_1 @ a1667 )
    | ( c1_1 @ a1667 )
    | ~ ( c3_1 @ a1667 ) ),
    inference(split,[status(esa)],[zip_derived_cl3375]) ).

thf(zip_derived_cl17,plain,
    ! [X32: $i,X33: $i] :
      ( ( c2_1 @ X32 )
      | ~ ( c1_1 @ X32 )
      | ~ ( c3_1 @ X32 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X33 )
      | ~ ( c0_1 @ X33 )
      | ~ ( c3_1 @ X33 )
      | ~ ndr1_0
      | hskp13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('188',plain,
    ( ! [X27: $i] :
        ( ( c2_1 @ X27 )
        | ~ ( c1_1 @ X27 )
        | ~ ( c3_1 @ X27 ) )
    | hskp13
    | ~ ndr1_0
    | ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl1198_073,plain,
    ( ( c1_1 @ a1637 )
   <= ( c1_1 @ a1637 ) ),
    inference(split,[status(esa)],[zip_derived_cl361]) ).

thf(zip_derived_cl368_074,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl7318,plain,
    ( ( ~ ( c0_1 @ a1637 )
      | ~ ( c3_1 @ a1637 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ( c1_1 @ a1637 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1198,zip_derived_cl368]) ).

thf('189',plain,
    ( ~ ( c3_1 @ a1637 )
    | ~ ( c1_1 @ a1637 )
    | ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ~ ( c0_1 @ a1637 ) ),
    inference(split,[status(esa)],[zip_derived_cl7318]) ).

thf(zip_derived_cl363,plain,
    ( ~ hskp0
    | ~ ( c2_1 @ a1637 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1202,plain,
    ( ~ ( c2_1 @ a1637 )
   <= ~ ( c2_1 @ a1637 ) ),
    inference(split,[status(esa)],[zip_derived_cl363]) ).

thf(zip_derived_cl376_075,plain,
    ( ! [X6: $i] :
        ( ~ ( c0_1 @ X6 )
        | ( c2_1 @ X6 )
        | ( c3_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ~ ( c0_1 @ X6 )
        | ( c2_1 @ X6 )
        | ( c3_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl3785,plain,
    ( ( ~ ( c0_1 @ a1637 )
      | ( c3_1 @ a1637 ) )
   <= ( ~ ( c2_1 @ a1637 )
      & ! [X6: $i] :
          ( ~ ( c0_1 @ X6 )
          | ( c2_1 @ X6 )
          | ( c3_1 @ X6 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1202,zip_derived_cl376]) ).

thf('190',plain,
    ( ( c3_1 @ a1637 )
    | ~ ! [X6: $i] :
          ( ~ ( c0_1 @ X6 )
          | ( c2_1 @ X6 )
          | ( c3_1 @ X6 ) )
    | ( c2_1 @ a1637 )
    | ~ ( c0_1 @ a1637 ) ),
    inference(split,[status(esa)],[zip_derived_cl3785]) ).

thf(zip_derived_cl1198_076,plain,
    ( ( c1_1 @ a1637 )
   <= ( c1_1 @ a1637 ) ),
    inference(split,[status(esa)],[zip_derived_cl361]) ).

thf(zip_derived_cl420,plain,
    ( ! [X27: $i] :
        ( ( c2_1 @ X27 )
        | ~ ( c1_1 @ X27 )
        | ~ ( c3_1 @ X27 ) )
   <= ! [X27: $i] :
        ( ( c2_1 @ X27 )
        | ~ ( c1_1 @ X27 )
        | ~ ( c3_1 @ X27 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl7323,plain,
    ( ( ( c2_1 @ a1637 )
      | ~ ( c3_1 @ a1637 ) )
   <= ( ! [X27: $i] :
          ( ( c2_1 @ X27 )
          | ~ ( c1_1 @ X27 )
          | ~ ( c3_1 @ X27 ) )
      & ( c1_1 @ a1637 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1198,zip_derived_cl420]) ).

thf('191',plain,
    ( ~ ! [X27: $i] :
          ( ( c2_1 @ X27 )
          | ~ ( c1_1 @ X27 )
          | ~ ( c3_1 @ X27 ) )
    | ~ ( c3_1 @ a1637 )
    | ~ ( c1_1 @ a1637 )
    | ( c2_1 @ a1637 ) ),
    inference(split,[status(esa)],[zip_derived_cl7323]) ).

thf('192',plain,
    ( ( c1_1 @ a1637 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl361]) ).

thf(zip_derived_cl362,plain,
    ( ~ hskp0
    | ( c0_1 @ a1637 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('193',plain,
    ( ( c0_1 @ a1637 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl362]) ).

thf('194',plain,
    ( ~ ( c2_1 @ a1637 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl363]) ).

thf(zip_derived_cl1040_077,plain,
    ( ~ ( c1_1 @ a1682 )
   <= ~ ( c1_1 @ a1682 ) ),
    inference(split,[status(esa)],[zip_derived_cl282]) ).

thf(zip_derived_cl413_078,plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ( c2_1 @ X23 )
        | ( c0_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ( c2_1 @ X23 )
        | ( c0_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl3090,plain,
    ( ( ( c2_1 @ a1682 )
      | ( c0_1 @ a1682 ) )
   <= ( ~ ( c1_1 @ a1682 )
      & ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ( c2_1 @ X23 )
          | ( c0_1 @ X23 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1040,zip_derived_cl413]) ).

thf('195',plain,
    ( ( c0_1 @ a1682 )
    | ( c2_1 @ a1682 )
    | ~ ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ( c2_1 @ X23 )
          | ( c0_1 @ X23 ) )
    | ( c1_1 @ a1682 ) ),
    inference(split,[status(esa)],[zip_derived_cl3090]) ).

thf(zip_derived_cl8,plain,
    ! [X16: $i,X17: $i] :
      ( ~ ( c1_1 @ X16 )
      | ~ ( c0_1 @ X16 )
      | ~ ( c3_1 @ X16 )
      | ~ ndr1_0
      | hskp47
      | ~ ( c0_1 @ X17 )
      | ( c3_1 @ X17 )
      | ( c2_1 @ X17 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('196',plain,
    ( hskp47
    | ! [X6: $i] :
        ( ~ ( c0_1 @ X6 )
        | ( c2_1 @ X6 )
        | ( c3_1 @ X6 ) )
    | ~ ndr1_0
    | ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf('197',plain,
    ( ~ ( c1_1 @ a1644 )
    | ~ hskp47 ),
    inference(split,[status(esa)],[zip_derived_cl173]) ).

thf(zip_derived_cl174,plain,
    ( ~ hskp47
    | ~ ( c0_1 @ a1644 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('198',plain,
    ( ~ ( c0_1 @ a1644 )
    | ~ hskp47 ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf(zip_derived_cl175,plain,
    ( ~ hskp47
    | ( c3_1 @ a1644 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('199',plain,
    ( ( c3_1 @ a1644 )
    | ~ hskp47 ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl822_079,plain,
    ( ~ ( c1_1 @ a1644 )
   <= ~ ( c1_1 @ a1644 ) ),
    inference(split,[status(esa)],[zip_derived_cl173]) ).

thf(zip_derived_cl381_080,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_cl4]) ).

thf(zip_derived_cl2493,plain,
    ( ( ( c0_1 @ a1644 )
      | ~ ( c3_1 @ a1644 ) )
   <= ( ~ ( c1_1 @ a1644 )
      & ! [X7: $i] :
          ( ( c0_1 @ X7 )
          | ( c1_1 @ X7 )
          | ~ ( c3_1 @ X7 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl822,zip_derived_cl381]) ).

thf('200',plain,
    ( ~ ! [X7: $i] :
          ( ( c0_1 @ X7 )
          | ( c1_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
    | ( c1_1 @ a1644 )
    | ( c0_1 @ a1644 )
    | ~ ( c3_1 @ a1644 ) ),
    inference(split,[status(esa)],[zip_derived_cl2493]) ).

thf(zip_derived_cl854_081,plain,
    ( ~ ( c1_1 @ a1639 )
   <= ~ ( c1_1 @ a1639 ) ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf(zip_derived_cl404_082,plain,
    ( ! [X20: $i] :
        ( ~ ( c3_1 @ X20 )
        | ~ ( c2_1 @ X20 )
        | ( c1_1 @ X20 ) )
   <= ! [X20: $i] :
        ( ~ ( c3_1 @ X20 )
        | ~ ( c2_1 @ X20 )
        | ( c1_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl2589,plain,
    ( ( ~ ( c3_1 @ a1639 )
      | ~ ( c2_1 @ a1639 ) )
   <= ( ~ ( c1_1 @ a1639 )
      & ! [X20: $i] :
          ( ~ ( c3_1 @ X20 )
          | ~ ( c2_1 @ X20 )
          | ( c1_1 @ X20 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl854,zip_derived_cl404]) ).

thf('201',plain,
    ( ( c1_1 @ a1639 )
    | ~ ( c3_1 @ a1639 )
    | ~ ! [X20: $i] :
          ( ~ ( c3_1 @ X20 )
          | ~ ( c2_1 @ X20 )
          | ( c1_1 @ X20 ) )
    | ~ ( c2_1 @ a1639 ) ),
    inference(split,[status(esa)],[zip_derived_cl2589]) ).

thf('202',plain,
    ( ~ hskp43
    | ~ ( c1_1 @ a1639 ) ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf('203',plain,
    ( ( c2_1 @ a1639 )
    | ~ hskp43 ),
    inference(split,[status(esa)],[zip_derived_cl190]) ).

thf(zip_derived_cl58,plain,
    ( hskp43
    | hskp44
    | hskp45 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('204',plain,
    ( hskp43
    | hskp44
    | hskp45 ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf(zip_derived_cl181,plain,
    ( ~ hskp45
    | ~ ( c3_1 @ a1641 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('205',plain,
    ( ~ ( c3_1 @ a1641 )
    | ~ hskp45 ),
    inference(split,[status(esa)],[zip_derived_cl181]) ).

thf(zip_derived_cl182,plain,
    ( ~ hskp45
    | ~ ( c1_1 @ a1641 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('206',plain,
    ( ~ ( c1_1 @ a1641 )
    | ~ hskp45 ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf(zip_derived_cl183,plain,
    ( ~ hskp45
    | ( c2_1 @ a1641 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('207',plain,
    ( ( c2_1 @ a1641 )
    | ~ hskp45 ),
    inference(split,[status(esa)],[zip_derived_cl183]) ).

thf(zip_derived_cl840,plain,
    ( ~ ( c1_1 @ a1641 )
   <= ~ ( c1_1 @ a1641 ) ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf(zip_derived_cl369_083,plain,
    ( ! [X1: $i] :
        ( ( c1_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ( c1_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl2562,plain,
    ( ( ~ ( c2_1 @ a1641 )
      | ( c3_1 @ a1641 ) )
   <= ( ~ ( c1_1 @ a1641 )
      & ! [X1: $i] :
          ( ( c1_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ( c3_1 @ X1 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl840,zip_derived_cl369]) ).

thf('208',plain,
    ( ( c3_1 @ a1641 )
    | ~ ( c2_1 @ a1641 )
    | ~ ! [X1: $i] :
          ( ( c1_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ( c3_1 @ X1 ) )
    | ( c1_1 @ a1641 ) ),
    inference(split,[status(esa)],[zip_derived_cl2562]) ).

thf(zip_derived_cl854_084,plain,
    ( ~ ( c1_1 @ a1639 )
   <= ~ ( c1_1 @ a1639 ) ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf(zip_derived_cl369_085,plain,
    ( ! [X1: $i] :
        ( ( c1_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ( c1_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl2584,plain,
    ( ( ~ ( c2_1 @ a1639 )
      | ( c3_1 @ a1639 ) )
   <= ( ~ ( c1_1 @ a1639 )
      & ! [X1: $i] :
          ( ( c1_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ( c3_1 @ X1 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl854,zip_derived_cl369]) ).

thf('209',plain,
    ( ( c1_1 @ a1639 )
    | ( c3_1 @ a1639 )
    | ~ ! [X1: $i] :
          ( ( c1_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ( c3_1 @ X1 ) )
    | ~ ( c2_1 @ a1639 ) ),
    inference(split,[status(esa)],[zip_derived_cl2584]) ).

thf(zip_derived_cl42,plain,
    ! [X66: $i] :
      ( hskp12
      | hskp13
      | ~ ( c2_1 @ X66 )
      | ~ ( c3_1 @ X66 )
      | ~ ( c1_1 @ X66 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('210',plain,
    ( ! [X55: $i] :
        ( ~ ( c2_1 @ X55 )
        | ~ ( c1_1 @ X55 )
        | ~ ( c3_1 @ X55 ) )
    | hskp13
    | hskp12
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl38,plain,
    ! [X60: $i,X61: $i] :
      ( hskp60
      | ( c0_1 @ X60 )
      | ( c1_1 @ X60 )
      | ~ ( c3_1 @ X60 )
      | ~ ndr1_0
      | ( c3_1 @ X61 )
      | ~ ( c2_1 @ X61 )
      | ( c1_1 @ X61 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('211',plain,
    ( ! [X1: $i] :
        ( ( c1_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ( c3_1 @ X1 ) )
    | ! [X7: $i] :
        ( ( c0_1 @ X7 )
        | ( c1_1 @ X7 )
        | ~ ( c3_1 @ X7 ) )
    | hskp60
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl172,plain,
    ( ~ hskp47
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('212',plain,
    ( ndr1_0
    | ~ hskp47 ),
    inference(split,[status(esa)],[zip_derived_cl172]) ).

thf(zip_derived_cl348,plain,
    ( ~ hskp3
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('213',plain,
    ( ndr1_0
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl348]) ).

thf(zip_derived_cl352,plain,
    ( ~ hskp2
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('214',plain,
    ( ndr1_0
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl352]) ).

thf(zip_derived_cl55,plain,
    ( hskp47
    | hskp2
    | hskp3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('215',plain,
    ( hskp2
    | hskp3
    | hskp47 ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf(zip_derived_cl313,plain,
    ( ~ hskp12
    | ( c2_1 @ a1666 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('216',plain,
    ( ~ hskp12
    | ( c2_1 @ a1666 ) ),
    inference(split,[status(esa)],[zip_derived_cl313]) ).

thf(zip_derived_cl314,plain,
    ( ~ hskp12
    | ( c3_1 @ a1666 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('217',plain,
    ( ~ hskp12
    | ( c3_1 @ a1666 ) ),
    inference(split,[status(esa)],[zip_derived_cl314]) ).

thf(zip_derived_cl315,plain,
    ( ~ hskp12
    | ~ ( c1_1 @ a1666 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('218',plain,
    ( ~ hskp12
    | ~ ( c1_1 @ a1666 ) ),
    inference(split,[status(esa)],[zip_derived_cl315]) ).

thf(zip_derived_cl1106,plain,
    ( ~ ( c1_1 @ a1666 )
   <= ~ ( c1_1 @ a1666 ) ),
    inference(split,[status(esa)],[zip_derived_cl315]) ).

thf(zip_derived_cl404_086,plain,
    ( ! [X20: $i] :
        ( ~ ( c3_1 @ X20 )
        | ~ ( c2_1 @ X20 )
        | ( c1_1 @ X20 ) )
   <= ! [X20: $i] :
        ( ~ ( c3_1 @ X20 )
        | ~ ( c2_1 @ X20 )
        | ( c1_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl3409,plain,
    ( ( ~ ( c3_1 @ a1666 )
      | ~ ( c2_1 @ a1666 ) )
   <= ( ~ ( c1_1 @ a1666 )
      & ! [X20: $i] :
          ( ~ ( c3_1 @ X20 )
          | ~ ( c2_1 @ X20 )
          | ( c1_1 @ X20 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1106,zip_derived_cl404]) ).

thf('219',plain,
    ( ( c1_1 @ a1666 )
    | ~ ( c3_1 @ a1666 )
    | ~ ! [X20: $i] :
          ( ~ ( c3_1 @ X20 )
          | ~ ( c2_1 @ X20 )
          | ( c1_1 @ X20 ) )
    | ~ ( c2_1 @ a1666 ) ),
    inference(split,[status(esa)],[zip_derived_cl3409]) ).

thf(zip_derived_cl121,plain,
    ( ~ hskp60
    | ~ ( c1_1 @ a1673 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('220',plain,
    ( ~ hskp60
    | ~ ( c1_1 @ a1673 ) ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl122,plain,
    ( ~ hskp60
    | ( c3_1 @ a1673 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('221',plain,
    ( ~ hskp60
    | ( c3_1 @ a1673 ) ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl123,plain,
    ( ~ hskp60
    | ( c2_1 @ a1673 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('222',plain,
    ( ~ hskp60
    | ( c2_1 @ a1673 ) ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl718,plain,
    ( ~ ( c1_1 @ a1673 )
   <= ~ ( c1_1 @ a1673 ) ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl404_087,plain,
    ( ! [X20: $i] :
        ( ~ ( c3_1 @ X20 )
        | ~ ( c2_1 @ X20 )
        | ( c1_1 @ X20 ) )
   <= ! [X20: $i] :
        ( ~ ( c3_1 @ X20 )
        | ~ ( c2_1 @ X20 )
        | ( c1_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl2319,plain,
    ( ( ~ ( c3_1 @ a1673 )
      | ~ ( c2_1 @ a1673 ) )
   <= ( ~ ( c1_1 @ a1673 )
      & ! [X20: $i] :
          ( ~ ( c3_1 @ X20 )
          | ~ ( c2_1 @ X20 )
          | ( c1_1 @ X20 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl718,zip_derived_cl404]) ).

thf('223',plain,
    ( ( c1_1 @ a1673 )
    | ~ ( c2_1 @ a1673 )
    | ~ ! [X20: $i] :
          ( ~ ( c3_1 @ X20 )
          | ~ ( c2_1 @ X20 )
          | ( c1_1 @ X20 ) )
    | ~ ( c3_1 @ a1673 ) ),
    inference(split,[status(esa)],[zip_derived_cl2319]) ).

thf(zip_derived_cl185,plain,
    ( ~ hskp44
    | ( c3_1 @ a1640 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('224',plain,
    ( ( c3_1 @ a1640 )
    | ~ hskp44 ),
    inference(split,[status(esa)],[zip_derived_cl185]) ).

thf(zip_derived_cl186,plain,
    ( ~ hskp44
    | ( c2_1 @ a1640 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('225',plain,
    ( ~ hskp44
    | ( c2_1 @ a1640 ) ),
    inference(split,[status(esa)],[zip_derived_cl186]) ).

thf('226',plain,
    ( ( c1_1 @ a1640 )
    | ~ hskp44 ),
    inference(split,[status(esa)],[zip_derived_cl187]) ).

thf(zip_derived_cl850_088,plain,
    ( ( c1_1 @ a1640 )
   <= ( c1_1 @ a1640 ) ),
    inference(split,[status(esa)],[zip_derived_cl187]) ).

thf(zip_derived_cl500_089,plain,
    ( ! [X55: $i] :
        ( ~ ( c2_1 @ X55 )
        | ~ ( c1_1 @ X55 )
        | ~ ( c3_1 @ X55 ) )
   <= ! [X55: $i] :
        ( ~ ( c2_1 @ X55 )
        | ~ ( c1_1 @ X55 )
        | ~ ( c3_1 @ X55 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl5922,plain,
    ( ( ~ ( c2_1 @ a1640 )
      | ~ ( c3_1 @ a1640 ) )
   <= ( ! [X55: $i] :
          ( ~ ( c2_1 @ X55 )
          | ~ ( c1_1 @ X55 )
          | ~ ( c3_1 @ X55 ) )
      & ( c1_1 @ a1640 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl850,zip_derived_cl500]) ).

thf('227',plain,
    ( ~ ( c2_1 @ a1640 )
    | ~ ( c1_1 @ a1640 )
    | ~ ! [X55: $i] :
          ( ~ ( c2_1 @ X55 )
          | ~ ( c1_1 @ X55 )
          | ~ ( c3_1 @ X55 ) )
    | ~ ( c3_1 @ a1640 ) ),
    inference(split,[status(esa)],[zip_derived_cl5922]) ).

thf(zip_derived_cl309,plain,
    ( ~ hskp13
    | ( c0_1 @ a1667 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('228',plain,
    ( ( c0_1 @ a1667 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl309]) ).

thf(zip_derived_cl1098_090,plain,
    ( ~ ( c1_1 @ a1667 )
   <= ~ ( c1_1 @ a1667 ) ),
    inference(split,[status(esa)],[zip_derived_cl311]) ).

thf(zip_derived_cl392_091,plain,
    ( ! [X15: $i] :
        ( ~ ( c0_1 @ X15 )
        | ( c2_1 @ X15 )
        | ( c1_1 @ X15 ) )
   <= ! [X15: $i] :
        ( ~ ( c0_1 @ X15 )
        | ( c2_1 @ X15 )
        | ( c1_1 @ X15 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl3378,plain,
    ( ( ~ ( c0_1 @ a1667 )
      | ( c2_1 @ a1667 ) )
   <= ( ~ ( c1_1 @ a1667 )
      & ! [X15: $i] :
          ( ~ ( c0_1 @ X15 )
          | ( c2_1 @ X15 )
          | ( c1_1 @ X15 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1098,zip_derived_cl392]) ).

thf('229',plain,
    ( ( c2_1 @ a1667 )
    | ( c1_1 @ a1667 )
    | ~ ! [X15: $i] :
          ( ~ ( c0_1 @ X15 )
          | ( c2_1 @ X15 )
          | ( c1_1 @ X15 ) )
    | ~ ( c0_1 @ a1667 ) ),
    inference(split,[status(esa)],[zip_derived_cl3378]) ).

thf(zip_derived_cl310,plain,
    ( ~ hskp13
    | ( c3_1 @ a1667 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('230',plain,
    ( ( c3_1 @ a1667 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl310]) ).

thf('231',plain,
    ( ~ ( c1_1 @ a1667 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl311]) ).

thf(zip_derived_cl1098_092,plain,
    ( ~ ( c1_1 @ a1667 )
   <= ~ ( c1_1 @ a1667 ) ),
    inference(split,[status(esa)],[zip_derived_cl311]) ).

thf(zip_derived_cl404_093,plain,
    ( ! [X20: $i] :
        ( ~ ( c3_1 @ X20 )
        | ~ ( c2_1 @ X20 )
        | ( c1_1 @ X20 ) )
   <= ! [X20: $i] :
        ( ~ ( c3_1 @ X20 )
        | ~ ( c2_1 @ X20 )
        | ( c1_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl3379,plain,
    ( ( ~ ( c3_1 @ a1667 )
      | ~ ( c2_1 @ a1667 ) )
   <= ( ~ ( c1_1 @ a1667 )
      & ! [X20: $i] :
          ( ~ ( c3_1 @ X20 )
          | ~ ( c2_1 @ X20 )
          | ( c1_1 @ X20 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1098,zip_derived_cl404]) ).

thf('232',plain,
    ( ~ ( c2_1 @ a1667 )
    | ( c1_1 @ a1667 )
    | ~ ! [X20: $i] :
          ( ~ ( c3_1 @ X20 )
          | ~ ( c2_1 @ X20 )
          | ( c1_1 @ X20 ) )
    | ~ ( c3_1 @ a1667 ) ),
    inference(split,[status(esa)],[zip_derived_cl3379]) ).

thf('233',plain,
    ( ! [X15: $i] :
        ( ~ ( c0_1 @ X15 )
        | ( c2_1 @ X15 )
        | ( c1_1 @ X15 ) )
    | ! [X4: $i] :
        ( ~ ( c3_1 @ X4 )
        | ( c1_1 @ X4 )
        | ( c2_1 @ X4 ) )
    | ~ ndr1_0
    | ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl33485,plain,
    $false,
    inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6','7','8','9','10','11','12','13','14','15','16','17','18','19','20','21','22','23','24','25','26','27','28','29','30','31','32','33','34','35','36','37','38','39','40','41','42','43','44','45','46','47','48','49','50','51','52','53','54','55','56','57','58','59','60','61','62','63','64','65','66','67','68','69','70','71','72','73','74','75','76','77','78','79','80','81','82','83','84','85','86','87','88','89','90','91','92','93','94','95','96','97','98','99','100','101','102','103','104','105','106','107','108','109','110','111','112','113','114','115','116','117','118','119','120','121','122','123','124','125','126','127','128','129','130','131','132','133','134','135','136','137','138','139','140','141','142','143','144','145','146','147','148','149','150','151','152','153','154','155','156','157','158','159','160','161','162','163','164','165','166','167','168','169','170','171','172','173','174','175','176','177','178','179','180','181','182','183','184','185','186','187','188','189','190','191','192','193','194','195','196','197','198','199','200','201','202','203','204','205','206','207','208','209','210','211','212','213','214','215','216','217','218','219','220','221','222','223','224','225','226','227','228','229','230','231','232','233']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SYN457+1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.15  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.4YMj2ut2Q7 true
% 0.15/0.36  % Computer : n029.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Sat Aug 26 20:39:40 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  % Running portfolio for 300 s
% 0.15/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36  % Number of cores: 8
% 0.15/0.37  % Python version: Python 3.6.8
% 0.15/0.37  % Running in FO mode
% 0.23/0.66  % Total configuration time : 435
% 0.23/0.66  % Estimated wc time : 1092
% 0.23/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.74  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.78  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.78  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.78  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.79  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.23/0.79  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.23/0.79  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 46.81/7.37  % Solved by fo/fo1_av.sh.
% 46.81/7.37  % done 8475 iterations in 6.524s
% 46.81/7.37  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 46.81/7.37  % SZS output start Refutation
% See solution above
% 47.40/7.37  
% 47.40/7.37  
% 47.40/7.37  % Terminating...
% 47.77/7.49  % Runner terminated.
% 47.77/7.50  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------