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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN472+1 : TPTP v9.2.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.crL8hU3ext true

% Computer : n012.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 : Thu Oct  2 05:05:00 PM UTC 2025

% Result   : Theorem 9.24s 1.84s
% Output   : Refutation 9.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    1
% Syntax   : Number of formulae    :  732 (   1 unt;   0 typ;   0 def)
%            Number of atoms       : 4864 (   0 equ;   0 cnn)
%            Maximal formula atoms :  713 (   6 avg)
%            Number of connectives : 10461 (2506   ~;3056   |; 514   &;3823   @)
%                                         (   0 <=>; 228  =>; 334  <=;   0 <~>)
%            Maximal formula depth :  106 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   68 (  67 usr;  64 con; 0-1 aty)
%            Number of variables   :  881 (   0   ^; 881   !;   0   ?; 881   :)

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

thf(a697_type,type,
    a697: $i ).

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

thf(a733_type,type,
    a733: $i ).

thf(a722_type,type,
    a722: $i ).

thf(a763_type,type,
    a763: $i ).

thf(a695_type,type,
    a695: $i ).

thf(a738_type,type,
    a738: $i ).

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

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

thf(a692_type,type,
    a692: $i ).

thf(a702_type,type,
    a702: $i ).

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

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

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

thf(a693_type,type,
    a693: $i ).

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

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

thf(a698_type,type,
    a698: $i ).

thf(a752_type,type,
    a752: $i ).

thf(a761_type,type,
    a761: $i ).

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

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

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

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

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

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

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

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

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

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

thf(a712_type,type,
    a712: $i ).

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

thf(a751_type,type,
    a751: $i ).

thf(a760_type,type,
    a760: $i ).

thf(a777_type,type,
    a777: $i ).

thf(a744_type,type,
    a744: $i ).

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

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

thf(a754_type,type,
    a754: $i ).

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

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

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

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

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

thf(a710_type,type,
    a710: $i ).

thf(a726_type,type,
    a726: $i ).

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

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

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

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

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

thf(a701_type,type,
    a701: $i ).

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

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

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

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

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

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

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

thf(a696_type,type,
    a696: $i ).

thf(a691_type,type,
    a691: $i ).

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

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

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

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

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

thf(co1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & ( c2_1 @ a692 )
          & ~ ( c0_1 @ a692 )
          & ~ ( c1_1 @ a692 ) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & ( c2_1 @ a693 )
          & ~ ( c1_1 @ a693 )
          & ~ ( c3_1 @ a693 ) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & ( c0_1 @ a696 )
          & ( c1_1 @ a696 )
          & ~ ( c2_1 @ a696 ) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & ( c0_1 @ a697 )
          & ( c2_1 @ a697 )
          & ~ ( c3_1 @ a697 ) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & ~ ( c0_1 @ a698 )
          & ~ ( c2_1 @ a698 )
          & ~ ( c3_1 @ a698 ) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & ( c0_1 @ a701 )
          & ( c2_1 @ a701 )
          & ~ ( c1_1 @ a701 ) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & ( c0_1 @ a702 )
          & ( c3_1 @ a702 )
          & ~ ( c2_1 @ a702 ) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & ( c1_1 @ a708 )
          & ( c2_1 @ a708 )
          & ~ ( c3_1 @ a708 ) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & ( c2_1 @ a710 )
          & ( c3_1 @ a710 )
          & ~ ( c0_1 @ a710 ) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & ~ ( c0_1 @ a712 )
          & ~ ( c1_1 @ a712 )
          & ~ ( c2_1 @ a712 ) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & ( c1_1 @ a717 )
          & ( c3_1 @ a717 )
          & ~ ( c2_1 @ a717 ) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & ( c0_1 @ a722 )
          & ( c3_1 @ a722 )
          & ~ ( c1_1 @ a722 ) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & ~ ( c0_1 @ a725 )
          & ~ ( c1_1 @ a725 )
          & ~ ( c3_1 @ a725 ) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & ( c1_1 @ a726 )
          & ~ ( c0_1 @ a726 )
          & ~ ( c3_1 @ a726 ) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & ( c0_1 @ a730 )
          & ( c1_1 @ a730 )
          & ~ ( c3_1 @ a730 ) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & ( c3_1 @ a734 )
          & ~ ( c1_1 @ a734 )
          & ~ ( c2_1 @ a734 ) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & ( c2_1 @ a738 )
          & ( c3_1 @ a738 )
          & ~ ( c1_1 @ a738 ) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & ~ ( c1_1 @ a744 )
          & ~ ( c2_1 @ a744 )
          & ~ ( c3_1 @ a744 ) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & ( c0_1 @ a751 )
          & ~ ( c1_1 @ a751 )
          & ~ ( c3_1 @ a751 ) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & ( c0_1 @ a752 )
          & ~ ( c2_1 @ a752 )
          & ~ ( c3_1 @ a752 ) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & ( c2_1 @ a754 )
          & ~ ( c0_1 @ a754 )
          & ~ ( c3_1 @ a754 ) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & ( c1_1 @ a760 )
          & ( c3_1 @ a760 )
          & ~ ( c0_1 @ a760 ) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & ( c1_1 @ a761 )
          & ~ ( c0_1 @ a761 )
          & ~ ( c2_1 @ a761 ) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & ( c0_1 @ a763 )
          & ~ ( c1_1 @ a763 )
          & ~ ( c2_1 @ a763 ) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & ( c1_1 @ a764 )
          & ~ ( c2_1 @ a764 )
          & ~ ( c3_1 @ a764 ) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & ( c1_1 @ a773 )
          & ( c2_1 @ a773 )
          & ~ ( c0_1 @ a773 ) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & ( c3_1 @ a777 )
          & ~ ( c0_1 @ a777 )
          & ~ ( c1_1 @ a777 ) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & ( c0_1 @ a691 )
          & ( c1_1 @ a691 )
          & ( c3_1 @ a691 ) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & ( c0_1 @ a695 )
          & ( c1_1 @ a695 )
          & ( c2_1 @ a695 ) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & ( c0_1 @ a713 )
          & ( c2_1 @ a713 )
          & ( c3_1 @ a713 ) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & ( c1_1 @ a733 )
          & ( c2_1 @ a733 )
          & ( c3_1 @ a733 ) ) )
      & ( ! [U: $i] :
            ( ndr1_0
           => ( ( c0_1 @ U )
              | ( c1_1 @ U )
              | ( c3_1 @ U ) ) )
        | ! [V: $i] :
            ( ndr1_0
           => ( ( c1_1 @ V )
              | ( c3_1 @ V )
              | ~ ( c0_1 @ V ) ) )
        | hskp27 )
      & ( ! [W: $i] :
            ( ndr1_0
           => ( ( c0_1 @ W )
              | ( c1_1 @ W )
              | ( c3_1 @ W ) ) )
        | hskp0
        | hskp1 )
      & ( ! [X: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X )
              | ( c1_1 @ X )
              | ~ ( c2_1 @ X ) ) )
        | ! [Y: $i] :
            ( ndr1_0
           => ( ( c0_1 @ Y )
              | ( c2_1 @ Y )
              | ~ ( c1_1 @ Y ) ) )
        | hskp27 )
      & ( ! [Z: $i] :
            ( ndr1_0
           => ( ( c0_1 @ Z )
              | ( c1_1 @ Z )
              | ~ ( c2_1 @ Z ) ) )
        | ! [X1: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X1 )
              | ( c2_1 @ X1 )
              | ~ ( c0_1 @ X1 ) ) )
        | hskp28 )
      & ( ! [X2: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X2 )
              | ( c1_1 @ X2 )
              | ~ ( c2_1 @ X2 ) ) )
        | ! [X3: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X3 )
              | ( c3_1 @ X3 )
              | ~ ( c0_1 @ X3 ) ) )
        | ! [X4: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X4 )
              | ~ ( c1_1 @ X4 )
              | ~ ( c2_1 @ X4 ) ) ) )
      & ( ! [X5: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X5 )
              | ( c1_1 @ X5 )
              | ~ ( c2_1 @ X5 ) ) )
        | ! [X6: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X6 )
              | ~ ( c2_1 @ X6 )
              | ~ ( c3_1 @ X6 ) ) )
        | hskp2 )
      & ( ! [X7: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X7 )
              | ( c1_1 @ X7 )
              | ~ ( c2_1 @ X7 ) ) )
        | hskp3
        | hskp4 )
      & ( ! [X8: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X8 )
              | ( c1_1 @ X8 )
              | ~ ( c3_1 @ X8 ) ) )
        | ! [X9: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X9 )
              | ( c2_1 @ X9 )
              | ~ ( c1_1 @ X9 ) ) )
        | hskp3 )
      & ( ! [X10: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X10 )
              | ( c1_1 @ X10 )
              | ~ ( c3_1 @ X10 ) ) )
        | ! [X11: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X11 )
              | ( c3_1 @ X11 )
              | ~ ( c1_1 @ X11 ) ) )
        | hskp0 )
      & ( ! [X12: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X12 )
              | ( c1_1 @ X12 )
              | ~ ( c3_1 @ X12 ) ) )
        | hskp5
        | hskp6 )
      & ( ! [X13: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X13 )
              | ( c2_1 @ X13 )
              | ( c3_1 @ X13 ) ) )
        | ! [X14: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X14 )
              | ( c2_1 @ X14 )
              | ~ ( c1_1 @ X14 ) ) )
        | ! [X15: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X15 )
              | ( c2_1 @ X15 )
              | ( c3_1 @ X15 ) ) ) )
      & ( ! [X16: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X16 )
              | ( c2_1 @ X16 )
              | ( c3_1 @ X16 ) ) )
        | ! [X17: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X17 )
              | ( c3_1 @ X17 )
              | ~ ( c1_1 @ X17 ) ) )
        | hskp6 )
      & ( ! [X18: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X18 )
              | ( c2_1 @ X18 )
              | ( c3_1 @ X18 ) ) )
        | ! [X19: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X19 )
              | ~ ( c0_1 @ X19 )
              | ~ ( c3_1 @ X19 ) ) )
        | hskp0 )
      & ( ! [X20: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X20 )
              | ( c2_1 @ X20 )
              | ( c3_1 @ X20 ) ) )
        | ! [X21: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X21 )
              | ~ ( c0_1 @ X21 )
              | ~ ( c1_1 @ X21 ) ) )
        | ! [X22: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X22 )
              | ~ ( c2_1 @ X22 )
              | ~ ( c3_1 @ X22 ) ) ) )
      & ( ! [X23: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X23 )
              | ( c2_1 @ X23 )
              | ( c3_1 @ X23 ) ) )
        | hskp27
        | hskp6 )
      & ( ! [X24: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X24 )
              | ( c2_1 @ X24 )
              | ( c3_1 @ X24 ) ) )
        | hskp2
        | hskp7 )
      & ( ! [X25: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X25 )
              | ( c2_1 @ X25 )
              | ( c3_1 @ X25 ) ) )
        | hskp5
        | hskp8 )
      & ( ! [X26: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X26 )
              | ( c2_1 @ X26 )
              | ( c3_1 @ X26 ) ) )
        | hskp3
        | hskp9 )
      & ( ! [X27: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X27 )
              | ( c2_1 @ X27 )
              | ~ ( c1_1 @ X27 ) ) )
        | ! [X28: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X28 )
              | ~ ( c1_1 @ X28 )
              | ~ ( c2_1 @ X28 ) ) )
        | hskp29 )
      & ( ! [X29: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X29 )
              | ( c2_1 @ X29 )
              | ~ ( c1_1 @ X29 ) ) )
        | ! [X30: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X30 )
              | ( c2_1 @ X30 )
              | ~ ( c3_1 @ X30 ) ) )
        | hskp29 )
      & ( ! [X31: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X31 )
              | ( c2_1 @ X31 )
              | ~ ( c1_1 @ X31 ) ) )
        | ! [X32: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X32 )
              | ~ ( c0_1 @ X32 )
              | ~ ( c1_1 @ X32 ) ) )
        | ! [X33: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X33 )
              | ~ ( c1_1 @ X33 )
              | ~ ( c2_1 @ X33 ) ) ) )
      & ( ! [X34: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X34 )
              | ( c2_1 @ X34 )
              | ~ ( c3_1 @ X34 ) ) )
        | ! [X35: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X35 )
              | ( c2_1 @ X35 )
              | ~ ( c0_1 @ X35 ) ) )
        | hskp5 )
      & ( ! [X36: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X36 )
              | ( c2_1 @ X36 )
              | ~ ( c3_1 @ X36 ) ) )
        | ! [X37: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X37 )
              | ( c2_1 @ X37 )
              | ~ ( c3_1 @ X37 ) ) )
        | ! [X38: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X38 )
              | ( c3_1 @ X38 )
              | ~ ( c2_1 @ X38 ) ) ) )
      & ( ! [X39: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X39 )
              | ( c2_1 @ X39 )
              | ~ ( c3_1 @ X39 ) ) )
        | ! [X40: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X40 )
              | ~ ( c2_1 @ X40 )
              | ~ ( c3_1 @ X40 ) ) )
        | hskp28 )
      & ( ! [X41: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X41 )
              | ( c3_1 @ X41 )
              | ~ ( c1_1 @ X41 ) ) )
        | ! [X42: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X42 )
              | ( c3_1 @ X42 )
              | ~ ( c2_1 @ X42 ) ) )
        | ! [X43: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X43 )
              | ~ ( c0_1 @ X43 )
              | ~ ( c3_1 @ X43 ) ) ) )
      & ( ! [X44: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X44 )
              | ( c3_1 @ X44 )
              | ~ ( c2_1 @ X44 ) ) )
        | ! [X45: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X45 )
              | ~ ( c1_1 @ X45 )
              | ~ ( c3_1 @ X45 ) ) )
        | hskp10 )
      & ( ! [X46: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X46 )
              | ( c3_1 @ X46 )
              | ~ ( c2_1 @ X46 ) ) )
        | ! [X47: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X47 )
              | ( c2_1 @ X47 )
              | ~ ( c0_1 @ X47 ) ) )
        | ! [X48: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X48 )
              | ( c3_1 @ X48 )
              | ~ ( c0_1 @ X48 ) ) ) )
      & ( ! [X49: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X49 )
              | ( c3_1 @ X49 )
              | ~ ( c2_1 @ X49 ) ) )
        | ! [X50: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X50 )
              | ( c3_1 @ X50 )
              | ~ ( c1_1 @ X50 ) ) )
        | hskp6 )
      & ( ! [X51: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X51 )
              | ( c3_1 @ X51 )
              | ~ ( c2_1 @ X51 ) ) )
        | ! [X52: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X52 )
              | ~ ( c2_1 @ X52 )
              | ~ ( c3_1 @ X52 ) ) )
        | hskp8 )
      & ( ! [X53: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X53 )
              | ~ ( c1_1 @ X53 )
              | ~ ( c2_1 @ X53 ) ) )
        | ! [X54: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X54 )
              | ~ ( c0_1 @ X54 )
              | ~ ( c1_1 @ X54 ) ) )
        | hskp5 )
      & ( ! [X55: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X55 )
              | ~ ( c1_1 @ X55 )
              | ~ ( c3_1 @ X55 ) ) )
        | ! [X56: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X56 )
              | ( c2_1 @ X56 )
              | ~ ( c0_1 @ X56 ) ) )
        | hskp4 )
      & ( ! [X57: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X57 )
              | ~ ( c2_1 @ X57 )
              | ~ ( c3_1 @ X57 ) ) )
        | ! [X58: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X58 )
              | ~ ( c2_1 @ X58 )
              | ~ ( c3_1 @ X58 ) ) )
        | ! [X59: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X59 )
              | ( c3_1 @ X59 )
              | ~ ( c1_1 @ X59 ) ) ) )
      & ( ! [X60: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X60 )
              | ~ ( c2_1 @ X60 )
              | ~ ( c3_1 @ X60 ) ) )
        | ! [X61: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X61 )
              | ( c3_1 @ X61 )
              | ~ ( c0_1 @ X61 ) ) )
        | hskp11 )
      & ( ! [X62: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X62 )
              | ~ ( c2_1 @ X62 )
              | ~ ( c3_1 @ X62 ) ) )
        | ! [X63: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X63 )
              | ~ ( c1_1 @ X63 )
              | ~ ( c3_1 @ X63 ) ) )
        | hskp8 )
      & ( ! [X64: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X64 )
              | ( c2_1 @ X64 )
              | ( c3_1 @ X64 ) ) )
        | ! [X65: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X65 )
              | ~ ( c0_1 @ X65 )
              | ~ ( c1_1 @ X65 ) ) )
        | hskp3 )
      & ( ! [X66: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X66 )
              | ( c2_1 @ X66 )
              | ~ ( c0_1 @ X66 ) ) )
        | ! [X67: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X67 )
              | ~ ( c0_1 @ X67 )
              | ~ ( c1_1 @ X67 ) ) )
        | hskp12 )
      & ( ! [X68: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X68 )
              | ( c2_1 @ X68 )
              | ~ ( c3_1 @ X68 ) ) )
        | ! [X69: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X69 )
              | ( c3_1 @ X69 )
              | ~ ( c0_1 @ X69 ) ) )
        | hskp13 )
      & ( ! [X70: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X70 )
              | ( c2_1 @ X70 )
              | ~ ( c3_1 @ X70 ) ) )
        | ! [X71: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X71 )
              | ~ ( c2_1 @ X71 )
              | ~ ( c3_1 @ X71 ) ) )
        | ! [X72: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X72 )
              | ~ ( c0_1 @ X72 )
              | ~ ( c1_1 @ X72 ) ) ) )
      & ( ! [X73: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X73 )
              | ( c2_1 @ X73 )
              | ~ ( c3_1 @ X73 ) ) )
        | hskp3
        | hskp1 )
      & ( ! [X74: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X74 )
              | ( c3_1 @ X74 )
              | ~ ( c0_1 @ X74 ) ) )
        | ! [X75: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X75 )
              | ~ ( c0_1 @ X75 )
              | ~ ( c3_1 @ X75 ) ) )
        | hskp0 )
      & ( ! [X76: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X76 )
              | ( c3_1 @ X76 )
              | ~ ( c0_1 @ X76 ) ) )
        | hskp14
        | hskp3 )
      & ( ! [X77: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X77 )
              | ( c3_1 @ X77 )
              | ~ ( c0_1 @ X77 ) ) )
        | hskp14
        | hskp30 )
      & ( ! [X78: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X78 )
              | ( c3_1 @ X78 )
              | ~ ( c0_1 @ X78 ) ) )
        | hskp15
        | hskp12 )
      & ( ! [X79: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X79 )
              | ( c3_1 @ X79 )
              | ~ ( c2_1 @ X79 ) ) )
        | ! [X80: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X80 )
              | ( c3_1 @ X80 )
              | ~ ( c0_1 @ X80 ) ) )
        | hskp28 )
      & ( ! [X81: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X81 )
              | ( c3_1 @ X81 )
              | ~ ( c2_1 @ X81 ) ) )
        | ! [X82: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X82 )
              | ~ ( c2_1 @ X82 )
              | ~ ( c3_1 @ X82 ) ) )
        | hskp14 )
      & ( ! [X83: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X83 )
              | ~ ( c0_1 @ X83 )
              | ~ ( c2_1 @ X83 ) ) )
        | ! [X84: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X84 )
              | ~ ( c1_1 @ X84 )
              | ~ ( c2_1 @ X84 ) ) )
        | hskp16 )
      & ( ! [X85: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X85 )
              | ~ ( c0_1 @ X85 )
              | ~ ( c2_1 @ X85 ) ) )
        | hskp7
        | hskp16 )
      & ( ! [X86: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X86 )
              | ~ ( c2_1 @ X86 )
              | ~ ( c3_1 @ X86 ) ) )
        | hskp7
        | hskp13 )
      & ( ! [X87: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X87 )
              | ( c3_1 @ X87 )
              | ~ ( c0_1 @ X87 ) ) )
        | hskp29
        | hskp17 )
      & ( ! [X88: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X88 )
              | ( c3_1 @ X88 )
              | ~ ( c1_1 @ X88 ) ) )
        | ! [X89: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X89 )
              | ~ ( c1_1 @ X89 )
              | ~ ( c2_1 @ X89 ) ) )
        | hskp28 )
      & ( ! [X90: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X90 )
              | ( c3_1 @ X90 )
              | ~ ( c1_1 @ X90 ) ) )
        | ! [X91: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X91 )
              | ~ ( c2_1 @ X91 )
              | ~ ( c3_1 @ X91 ) ) )
        | hskp30 )
      & ( ! [X92: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X92 )
              | ~ ( c0_1 @ X92 )
              | ~ ( c1_1 @ X92 ) ) )
        | hskp5
        | hskp1 )
      & ( ! [X93: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X93 )
              | ~ ( c0_1 @ X93 )
              | ~ ( c3_1 @ X93 ) ) )
        | ! [X94: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X94 )
              | ~ ( c2_1 @ X94 )
              | ~ ( c3_1 @ X94 ) ) )
        | hskp28 )
      & ( ! [X95: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X95 )
              | ~ ( c1_1 @ X95 )
              | ~ ( c3_1 @ X95 ) ) )
        | ! [X96: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X96 )
              | ~ ( c0_1 @ X96 )
              | ~ ( c1_1 @ X96 ) ) )
        | hskp17 )
      & ( ! [X97: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X97 )
              | ~ ( c1_1 @ X97 )
              | ~ ( c3_1 @ X97 ) ) )
        | hskp18
        | hskp19 )
      & ( ! [X98: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X98 )
              | ~ ( c1_1 @ X98 )
              | ~ ( c3_1 @ X98 ) ) )
        | hskp16
        | hskp20 )
      & ( ! [X99: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X99 )
              | ~ ( c0_1 @ X99 )
              | ~ ( c1_1 @ X99 ) ) )
        | hskp11
        | hskp7 )
      & ( ! [X100: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X100 )
              | ~ ( c0_1 @ X100 )
              | ~ ( c1_1 @ X100 ) ) )
        | hskp16
        | hskp15 )
      & ( ! [X101: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X101 )
              | ~ ( c0_1 @ X101 )
              | ~ ( c2_1 @ X101 ) ) )
        | ! [X102: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X102 )
              | ~ ( c2_1 @ X102 )
              | ~ ( c3_1 @ X102 ) ) )
        | hskp3 )
      & ( ! [X103: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X103 )
              | ~ ( c0_1 @ X103 )
              | ~ ( c2_1 @ X103 ) ) )
        | hskp21
        | hskp22 )
      & ( ! [X104: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X104 )
              | ~ ( c1_1 @ X104 )
              | ~ ( c2_1 @ X104 ) ) )
        | ! [X105: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X105 )
              | ~ ( c2_1 @ X105 )
              | ~ ( c3_1 @ X105 ) ) )
        | hskp20 )
      & ( ! [X106: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X106 )
              | ~ ( c1_1 @ X106 )
              | ~ ( c2_1 @ X106 ) ) )
        | hskp23
        | hskp24 )
      & ( ! [X107: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X107 )
              | ~ ( c1_1 @ X107 )
              | ~ ( c3_1 @ X107 ) ) )
        | hskp27
        | hskp18 )
      & ( ! [X108: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X108 )
              | ~ ( c1_1 @ X108 )
              | ~ ( c3_1 @ X108 ) ) )
        | hskp30
        | hskp20 )
      & ( hskp28
        | hskp30
        | hskp12 )
      & ( hskp28
        | hskp25
        | hskp22 )
      & ( hskp14
        | hskp7
        | hskp26 )
      & ( hskp29
        | hskp7
        | hskp13 )
      & ( hskp11
        | hskp23
        | hskp13 )
      & ( hskp23
        | hskp18
        | hskp21 )
      & ( hskp30
        | hskp20
        | hskp1 )
      & ( hskp13
        | hskp20
        | hskp12 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( ~ hskp0
      | ( ndr1_0
        & ( c2_1 @ a692 )
        & ~ ( c0_1 @ a692 )
        & ~ ( c1_1 @ a692 ) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ( c2_1 @ a693 )
        & ~ ( c1_1 @ a693 )
        & ~ ( c3_1 @ a693 ) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ( c0_1 @ a696 )
        & ( c1_1 @ a696 )
        & ~ ( c2_1 @ a696 ) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ( c0_1 @ a697 )
        & ( c2_1 @ a697 )
        & ~ ( c3_1 @ a697 ) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ~ ( c0_1 @ a698 )
        & ~ ( c2_1 @ a698 )
        & ~ ( c3_1 @ a698 ) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ( c0_1 @ a701 )
        & ( c2_1 @ a701 )
        & ~ ( c1_1 @ a701 ) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ( c0_1 @ a702 )
        & ( c3_1 @ a702 )
        & ~ ( c2_1 @ a702 ) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & ( c1_1 @ a708 )
        & ( c2_1 @ a708 )
        & ~ ( c3_1 @ a708 ) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ( c2_1 @ a710 )
        & ( c3_1 @ a710 )
        & ~ ( c0_1 @ a710 ) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ~ ( c0_1 @ a712 )
        & ~ ( c1_1 @ a712 )
        & ~ ( c2_1 @ a712 ) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ( c1_1 @ a717 )
        & ( c3_1 @ a717 )
        & ~ ( c2_1 @ a717 ) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ( c0_1 @ a722 )
        & ( c3_1 @ a722 )
        & ~ ( c1_1 @ a722 ) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ~ ( c0_1 @ a725 )
        & ~ ( c1_1 @ a725 )
        & ~ ( c3_1 @ a725 ) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & ( c1_1 @ a726 )
        & ~ ( c0_1 @ a726 )
        & ~ ( c3_1 @ a726 ) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ( c0_1 @ a730 )
        & ( c1_1 @ a730 )
        & ~ ( c3_1 @ a730 ) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & ( c3_1 @ a734 )
        & ~ ( c1_1 @ a734 )
        & ~ ( c2_1 @ a734 ) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & ( c2_1 @ a738 )
        & ( c3_1 @ a738 )
        & ~ ( c1_1 @ a738 ) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ~ ( c1_1 @ a744 )
        & ~ ( c2_1 @ a744 )
        & ~ ( c3_1 @ a744 ) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ( c0_1 @ a751 )
        & ~ ( c1_1 @ a751 )
        & ~ ( c3_1 @ a751 ) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ( c0_1 @ a752 )
        & ~ ( c2_1 @ a752 )
        & ~ ( c3_1 @ a752 ) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ( c2_1 @ a754 )
        & ~ ( c0_1 @ a754 )
        & ~ ( c3_1 @ a754 ) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & ( c1_1 @ a760 )
        & ( c3_1 @ a760 )
        & ~ ( c0_1 @ a760 ) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ( c1_1 @ a761 )
        & ~ ( c0_1 @ a761 )
        & ~ ( c2_1 @ a761 ) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ( c0_1 @ a763 )
        & ~ ( c1_1 @ a763 )
        & ~ ( c2_1 @ a763 ) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ( c1_1 @ a764 )
        & ~ ( c2_1 @ a764 )
        & ~ ( c3_1 @ a764 ) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ( c1_1 @ a773 )
        & ( c2_1 @ a773 )
        & ~ ( c0_1 @ a773 ) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ( c3_1 @ a777 )
        & ~ ( c0_1 @ a777 )
        & ~ ( c1_1 @ a777 ) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ( c0_1 @ a691 )
        & ( c1_1 @ a691 )
        & ( c3_1 @ a691 ) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & ( c0_1 @ a695 )
        & ( c1_1 @ a695 )
        & ( c2_1 @ a695 ) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & ( c0_1 @ a713 )
        & ( c2_1 @ a713 )
        & ( c3_1 @ a713 ) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & ( c1_1 @ a733 )
        & ( c2_1 @ a733 )
        & ( c3_1 @ a733 ) ) )
    & ( ! [U: $i] :
          ( ndr1_0
         => ( ( c0_1 @ U )
            | ( c1_1 @ U )
            | ( c3_1 @ U ) ) )
      | ! [V: $i] :
          ( ndr1_0
         => ( ( c1_1 @ V )
            | ( c3_1 @ V )
            | ~ ( c0_1 @ V ) ) )
      | hskp27 )
    & ( ! [W: $i] :
          ( ndr1_0
         => ( ( c0_1 @ W )
            | ( c1_1 @ W )
            | ( c3_1 @ W ) ) )
      | hskp0
      | hskp1 )
    & ( ! [X: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X )
            | ( c1_1 @ X )
            | ~ ( c2_1 @ X ) ) )
      | ! [Y: $i] :
          ( ndr1_0
         => ( ( c0_1 @ Y )
            | ( c2_1 @ Y )
            | ~ ( c1_1 @ Y ) ) )
      | hskp27 )
    & ( ! [Z: $i] :
          ( ndr1_0
         => ( ( c0_1 @ Z )
            | ( c1_1 @ Z )
            | ~ ( c2_1 @ Z ) ) )
      | ! [X1: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X1 )
            | ( c2_1 @ X1 )
            | ~ ( c0_1 @ X1 ) ) )
      | hskp28 )
    & ( ! [X2: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X2 )
            | ( c1_1 @ X2 )
            | ~ ( c2_1 @ X2 ) ) )
      | ! [X3: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X3 )
            | ( c3_1 @ X3 )
            | ~ ( c0_1 @ X3 ) ) )
      | ! [X4: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X4 )
            | ~ ( c1_1 @ X4 )
            | ~ ( c2_1 @ X4 ) ) ) )
    & ( ! [X5: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X5 )
            | ( c1_1 @ X5 )
            | ~ ( c2_1 @ X5 ) ) )
      | ! [X6: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X6 )
            | ~ ( c2_1 @ X6 )
            | ~ ( c3_1 @ X6 ) ) )
      | hskp2 )
    & ( ! [X7: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X7 )
            | ( c1_1 @ X7 )
            | ~ ( c2_1 @ X7 ) ) )
      | hskp3
      | hskp4 )
    & ( ! [X8: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X8 )
            | ( c1_1 @ X8 )
            | ~ ( c3_1 @ X8 ) ) )
      | ! [X9: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X9 )
            | ( c2_1 @ X9 )
            | ~ ( c1_1 @ X9 ) ) )
      | hskp3 )
    & ( ! [X10: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X10 )
            | ( c1_1 @ X10 )
            | ~ ( c3_1 @ X10 ) ) )
      | ! [X11: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X11 )
            | ( c3_1 @ X11 )
            | ~ ( c1_1 @ X11 ) ) )
      | hskp0 )
    & ( ! [X12: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X12 )
            | ( c1_1 @ X12 )
            | ~ ( c3_1 @ X12 ) ) )
      | hskp5
      | hskp6 )
    & ( ! [X13: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X13 )
            | ( c2_1 @ X13 )
            | ( c3_1 @ X13 ) ) )
      | ! [X14: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X14 )
            | ( c2_1 @ X14 )
            | ~ ( c1_1 @ X14 ) ) )
      | ! [X15: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X15 )
            | ( c2_1 @ X15 )
            | ( c3_1 @ X15 ) ) ) )
    & ( ! [X16: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X16 )
            | ( c2_1 @ X16 )
            | ( c3_1 @ X16 ) ) )
      | ! [X17: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X17 )
            | ( c3_1 @ X17 )
            | ~ ( c1_1 @ X17 ) ) )
      | hskp6 )
    & ( ! [X18: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X18 )
            | ( c2_1 @ X18 )
            | ( c3_1 @ X18 ) ) )
      | ! [X19: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X19 )
            | ~ ( c0_1 @ X19 )
            | ~ ( c3_1 @ X19 ) ) )
      | hskp0 )
    & ( ! [X20: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X20 )
            | ( c2_1 @ X20 )
            | ( c3_1 @ X20 ) ) )
      | ! [X21: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X21 )
            | ~ ( c0_1 @ X21 )
            | ~ ( c1_1 @ X21 ) ) )
      | ! [X22: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X22 )
            | ~ ( c2_1 @ X22 )
            | ~ ( c3_1 @ X22 ) ) ) )
    & ( ! [X23: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X23 )
            | ( c2_1 @ X23 )
            | ( c3_1 @ X23 ) ) )
      | hskp27
      | hskp6 )
    & ( ! [X24: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X24 )
            | ( c2_1 @ X24 )
            | ( c3_1 @ X24 ) ) )
      | hskp2
      | hskp7 )
    & ( ! [X25: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X25 )
            | ( c2_1 @ X25 )
            | ( c3_1 @ X25 ) ) )
      | hskp5
      | hskp8 )
    & ( ! [X26: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X26 )
            | ( c2_1 @ X26 )
            | ( c3_1 @ X26 ) ) )
      | hskp3
      | hskp9 )
    & ( ! [X27: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X27 )
            | ( c2_1 @ X27 )
            | ~ ( c1_1 @ X27 ) ) )
      | ! [X28: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X28 )
            | ~ ( c1_1 @ X28 )
            | ~ ( c2_1 @ X28 ) ) )
      | hskp29 )
    & ( ! [X29: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X29 )
            | ( c2_1 @ X29 )
            | ~ ( c1_1 @ X29 ) ) )
      | ! [X30: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X30 )
            | ( c2_1 @ X30 )
            | ~ ( c3_1 @ X30 ) ) )
      | hskp29 )
    & ( ! [X31: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X31 )
            | ( c2_1 @ X31 )
            | ~ ( c1_1 @ X31 ) ) )
      | ! [X32: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X32 )
            | ~ ( c0_1 @ X32 )
            | ~ ( c1_1 @ X32 ) ) )
      | ! [X33: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X33 )
            | ~ ( c1_1 @ X33 )
            | ~ ( c2_1 @ X33 ) ) ) )
    & ( ! [X34: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X34 )
            | ( c2_1 @ X34 )
            | ~ ( c3_1 @ X34 ) ) )
      | ! [X35: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X35 )
            | ( c2_1 @ X35 )
            | ~ ( c0_1 @ X35 ) ) )
      | hskp5 )
    & ( ! [X36: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X36 )
            | ( c2_1 @ X36 )
            | ~ ( c3_1 @ X36 ) ) )
      | ! [X37: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X37 )
            | ( c2_1 @ X37 )
            | ~ ( c3_1 @ X37 ) ) )
      | ! [X38: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X38 )
            | ( c3_1 @ X38 )
            | ~ ( c2_1 @ X38 ) ) ) )
    & ( ! [X39: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X39 )
            | ( c2_1 @ X39 )
            | ~ ( c3_1 @ X39 ) ) )
      | ! [X40: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X40 )
            | ~ ( c2_1 @ X40 )
            | ~ ( c3_1 @ X40 ) ) )
      | hskp28 )
    & ( ! [X41: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X41 )
            | ( c3_1 @ X41 )
            | ~ ( c1_1 @ X41 ) ) )
      | ! [X42: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X42 )
            | ( c3_1 @ X42 )
            | ~ ( c2_1 @ X42 ) ) )
      | ! [X43: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X43 )
            | ~ ( c0_1 @ X43 )
            | ~ ( c3_1 @ X43 ) ) ) )
    & ( ! [X44: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X44 )
            | ( c3_1 @ X44 )
            | ~ ( c2_1 @ X44 ) ) )
      | ! [X45: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X45 )
            | ~ ( c1_1 @ X45 )
            | ~ ( c3_1 @ X45 ) ) )
      | hskp10 )
    & ( ! [X46: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X46 )
            | ( c3_1 @ X46 )
            | ~ ( c2_1 @ X46 ) ) )
      | ! [X47: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X47 )
            | ( c2_1 @ X47 )
            | ~ ( c0_1 @ X47 ) ) )
      | ! [X48: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X48 )
            | ( c3_1 @ X48 )
            | ~ ( c0_1 @ X48 ) ) ) )
    & ( ! [X49: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X49 )
            | ( c3_1 @ X49 )
            | ~ ( c2_1 @ X49 ) ) )
      | ! [X50: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X50 )
            | ( c3_1 @ X50 )
            | ~ ( c1_1 @ X50 ) ) )
      | hskp6 )
    & ( ! [X51: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X51 )
            | ( c3_1 @ X51 )
            | ~ ( c2_1 @ X51 ) ) )
      | ! [X52: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X52 )
            | ~ ( c2_1 @ X52 )
            | ~ ( c3_1 @ X52 ) ) )
      | hskp8 )
    & ( ! [X53: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X53 )
            | ~ ( c1_1 @ X53 )
            | ~ ( c2_1 @ X53 ) ) )
      | ! [X54: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X54 )
            | ~ ( c0_1 @ X54 )
            | ~ ( c1_1 @ X54 ) ) )
      | hskp5 )
    & ( ! [X55: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X55 )
            | ~ ( c1_1 @ X55 )
            | ~ ( c3_1 @ X55 ) ) )
      | ! [X56: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X56 )
            | ( c2_1 @ X56 )
            | ~ ( c0_1 @ X56 ) ) )
      | hskp4 )
    & ( ! [X57: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X57 )
            | ~ ( c2_1 @ X57 )
            | ~ ( c3_1 @ X57 ) ) )
      | ! [X58: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X58 )
            | ~ ( c2_1 @ X58 )
            | ~ ( c3_1 @ X58 ) ) )
      | ! [X59: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X59 )
            | ( c3_1 @ X59 )
            | ~ ( c1_1 @ X59 ) ) ) )
    & ( ! [X60: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X60 )
            | ~ ( c2_1 @ X60 )
            | ~ ( c3_1 @ X60 ) ) )
      | ! [X61: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X61 )
            | ( c3_1 @ X61 )
            | ~ ( c0_1 @ X61 ) ) )
      | hskp11 )
    & ( ! [X62: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X62 )
            | ~ ( c2_1 @ X62 )
            | ~ ( c3_1 @ X62 ) ) )
      | ! [X63: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X63 )
            | ~ ( c1_1 @ X63 )
            | ~ ( c3_1 @ X63 ) ) )
      | hskp8 )
    & ( ! [X64: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X64 )
            | ( c2_1 @ X64 )
            | ( c3_1 @ X64 ) ) )
      | ! [X65: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X65 )
            | ~ ( c0_1 @ X65 )
            | ~ ( c1_1 @ X65 ) ) )
      | hskp3 )
    & ( ! [X66: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X66 )
            | ( c2_1 @ X66 )
            | ~ ( c0_1 @ X66 ) ) )
      | ! [X67: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X67 )
            | ~ ( c0_1 @ X67 )
            | ~ ( c1_1 @ X67 ) ) )
      | hskp12 )
    & ( ! [X68: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X68 )
            | ( c2_1 @ X68 )
            | ~ ( c3_1 @ X68 ) ) )
      | ! [X69: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X69 )
            | ( c3_1 @ X69 )
            | ~ ( c0_1 @ X69 ) ) )
      | hskp13 )
    & ( ! [X70: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X70 )
            | ( c2_1 @ X70 )
            | ~ ( c3_1 @ X70 ) ) )
      | ! [X71: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X71 )
            | ~ ( c2_1 @ X71 )
            | ~ ( c3_1 @ X71 ) ) )
      | ! [X72: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X72 )
            | ~ ( c0_1 @ X72 )
            | ~ ( c1_1 @ X72 ) ) ) )
    & ( ! [X73: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X73 )
            | ( c2_1 @ X73 )
            | ~ ( c3_1 @ X73 ) ) )
      | hskp3
      | hskp1 )
    & ( ! [X74: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X74 )
            | ( c3_1 @ X74 )
            | ~ ( c0_1 @ X74 ) ) )
      | ! [X75: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X75 )
            | ~ ( c0_1 @ X75 )
            | ~ ( c3_1 @ X75 ) ) )
      | hskp0 )
    & ( ! [X76: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X76 )
            | ( c3_1 @ X76 )
            | ~ ( c0_1 @ X76 ) ) )
      | hskp14
      | hskp3 )
    & ( ! [X77: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X77 )
            | ( c3_1 @ X77 )
            | ~ ( c0_1 @ X77 ) ) )
      | hskp14
      | hskp30 )
    & ( ! [X78: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X78 )
            | ( c3_1 @ X78 )
            | ~ ( c0_1 @ X78 ) ) )
      | hskp15
      | hskp12 )
    & ( ! [X79: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X79 )
            | ( c3_1 @ X79 )
            | ~ ( c2_1 @ X79 ) ) )
      | ! [X80: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X80 )
            | ( c3_1 @ X80 )
            | ~ ( c0_1 @ X80 ) ) )
      | hskp28 )
    & ( ! [X81: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X81 )
            | ( c3_1 @ X81 )
            | ~ ( c2_1 @ X81 ) ) )
      | ! [X82: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X82 )
            | ~ ( c2_1 @ X82 )
            | ~ ( c3_1 @ X82 ) ) )
      | hskp14 )
    & ( ! [X83: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X83 )
            | ~ ( c0_1 @ X83 )
            | ~ ( c2_1 @ X83 ) ) )
      | ! [X84: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X84 )
            | ~ ( c1_1 @ X84 )
            | ~ ( c2_1 @ X84 ) ) )
      | hskp16 )
    & ( ! [X85: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X85 )
            | ~ ( c0_1 @ X85 )
            | ~ ( c2_1 @ X85 ) ) )
      | hskp7
      | hskp16 )
    & ( ! [X86: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X86 )
            | ~ ( c2_1 @ X86 )
            | ~ ( c3_1 @ X86 ) ) )
      | hskp7
      | hskp13 )
    & ( ! [X87: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X87 )
            | ( c3_1 @ X87 )
            | ~ ( c0_1 @ X87 ) ) )
      | hskp29
      | hskp17 )
    & ( ! [X88: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X88 )
            | ( c3_1 @ X88 )
            | ~ ( c1_1 @ X88 ) ) )
      | ! [X89: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X89 )
            | ~ ( c1_1 @ X89 )
            | ~ ( c2_1 @ X89 ) ) )
      | hskp28 )
    & ( ! [X90: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X90 )
            | ( c3_1 @ X90 )
            | ~ ( c1_1 @ X90 ) ) )
      | ! [X91: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X91 )
            | ~ ( c2_1 @ X91 )
            | ~ ( c3_1 @ X91 ) ) )
      | hskp30 )
    & ( ! [X92: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X92 )
            | ~ ( c0_1 @ X92 )
            | ~ ( c1_1 @ X92 ) ) )
      | hskp5
      | hskp1 )
    & ( ! [X93: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X93 )
            | ~ ( c0_1 @ X93 )
            | ~ ( c3_1 @ X93 ) ) )
      | ! [X94: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X94 )
            | ~ ( c2_1 @ X94 )
            | ~ ( c3_1 @ X94 ) ) )
      | hskp28 )
    & ( ! [X95: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X95 )
            | ~ ( c1_1 @ X95 )
            | ~ ( c3_1 @ X95 ) ) )
      | ! [X96: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X96 )
            | ~ ( c0_1 @ X96 )
            | ~ ( c1_1 @ X96 ) ) )
      | hskp17 )
    & ( ! [X97: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X97 )
            | ~ ( c1_1 @ X97 )
            | ~ ( c3_1 @ X97 ) ) )
      | hskp18
      | hskp19 )
    & ( ! [X98: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X98 )
            | ~ ( c1_1 @ X98 )
            | ~ ( c3_1 @ X98 ) ) )
      | hskp16
      | hskp20 )
    & ( ! [X99: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X99 )
            | ~ ( c0_1 @ X99 )
            | ~ ( c1_1 @ X99 ) ) )
      | hskp11
      | hskp7 )
    & ( ! [X100: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X100 )
            | ~ ( c0_1 @ X100 )
            | ~ ( c1_1 @ X100 ) ) )
      | hskp16
      | hskp15 )
    & ( ! [X101: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X101 )
            | ~ ( c0_1 @ X101 )
            | ~ ( c2_1 @ X101 ) ) )
      | ! [X102: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X102 )
            | ~ ( c2_1 @ X102 )
            | ~ ( c3_1 @ X102 ) ) )
      | hskp3 )
    & ( ! [X103: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X103 )
            | ~ ( c0_1 @ X103 )
            | ~ ( c2_1 @ X103 ) ) )
      | hskp21
      | hskp22 )
    & ( ! [X104: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X104 )
            | ~ ( c1_1 @ X104 )
            | ~ ( c2_1 @ X104 ) ) )
      | ! [X105: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X105 )
            | ~ ( c2_1 @ X105 )
            | ~ ( c3_1 @ X105 ) ) )
      | hskp20 )
    & ( ! [X106: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X106 )
            | ~ ( c1_1 @ X106 )
            | ~ ( c2_1 @ X106 ) ) )
      | hskp23
      | hskp24 )
    & ( ! [X107: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X107 )
            | ~ ( c1_1 @ X107 )
            | ~ ( c3_1 @ X107 ) ) )
      | hskp27
      | hskp18 )
    & ( ! [X108: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X108 )
            | ~ ( c1_1 @ X108 )
            | ~ ( c3_1 @ X108 ) ) )
      | hskp30
      | hskp20 )
    & ( hskp28
      | hskp30
      | hskp12 )
    & ( hskp28
      | hskp25
      | hskp22 )
    & ( hskp14
      | hskp7
      | hskp26 )
    & ( hskp29
      | hskp7
      | hskp13 )
    & ( hskp11
      | hskp23
      | hskp13 )
    & ( hskp23
      | hskp18
      | hskp21 )
    & ( hskp30
      | hskp20
      | hskp1 )
    & ( hskp13
      | hskp20
      | hskp12 ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl21,plain,
    ! [X17: $i,X18: $i] :
      ( ( c2_1 @ X17 )
      | ( c3_1 @ X17 )
      | ~ ( c1_1 @ X17 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X18 )
      | ~ ( c2_1 @ X18 )
      | ~ ( c3_1 @ X18 )
      | ~ ndr1_0
      | hskp30 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('0',plain,
    ( hskp30
    | ! [X17: $i] :
        ( ( c2_1 @ X17 )
        | ( c3_1 @ X17 )
        | ~ ( c1_1 @ X17 ) )
    | ~ ndr1_0
    | ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 )
        | ~ ( c3_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl165,plain,
    ( ~ hskp7
    | ( c1_1 @ a708 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl662,plain,
    ( ( c1_1 @ a708 )
   <= ( c1_1 @ a708 ) ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl10,plain,
    ! [X2: $i] :
      ( ~ ( c0_1 @ X2 )
      | ~ ( c1_1 @ X2 )
      | ~ ( c2_1 @ X2 )
      | ~ ndr1_0
      | hskp23
      | hskp24 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl228,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl1162,plain,
    ( ( ~ ( c0_1 @ a708 )
      | ~ ( c2_1 @ a708 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ( c1_1 @ a708 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl662,zip_derived_cl228]) ).

thf('1',plain,
    ( ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
    | ~ ( c0_1 @ a708 )
    | ~ ( c1_1 @ a708 )
    | ~ ( c2_1 @ a708 ) ),
    inference(split,[status(esa)],[zip_derived_cl1162]) ).

thf(zip_derived_cl65,plain,
    ! [X101: $i] :
      ( ( c0_1 @ X101 )
      | ( c1_1 @ X101 )
      | ~ ( c2_1 @ X101 )
      | ~ ndr1_0
      | hskp3
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl448,plain,
    ( ! [X101: $i] :
        ( ( c0_1 @ X101 )
        | ( c1_1 @ X101 )
        | ~ ( c2_1 @ X101 ) )
   <= ! [X101: $i] :
        ( ( c0_1 @ X101 )
        | ( c1_1 @ X101 )
        | ~ ( c2_1 @ X101 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl65]) ).

thf(zip_derived_cl190,plain,
    ( ~ hskp1
    | ~ ( c1_1 @ a693 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl712,plain,
    ( ~ ( c1_1 @ a693 )
   <= ~ ( c1_1 @ a693 ) ),
    inference(split,[status(esa)],[zip_derived_cl190]) ).

thf(zip_derived_cl1934,plain,
    ( ( ~ ( c2_1 @ a693 )
      | ( c0_1 @ a693 ) )
   <= ( ~ ( c1_1 @ a693 )
      & ! [X101: $i] :
          ( ( c0_1 @ X101 )
          | ( c1_1 @ X101 )
          | ~ ( c2_1 @ X101 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl448,zip_derived_cl712]) ).

thf('2',plain,
    ( ( c0_1 @ a693 )
    | ( c1_1 @ a693 )
    | ~ ! [X101: $i] :
          ( ( c0_1 @ X101 )
          | ( c1_1 @ X101 )
          | ~ ( c2_1 @ X101 ) )
    | ~ ( c2_1 @ a693 ) ),
    inference(split,[status(esa)],[zip_derived_cl1934]) ).

thf(zip_derived_cl33,plain,
    ! [X35: $i] :
      ( ( c1_1 @ X35 )
      | ( c2_1 @ X35 )
      | ~ ( c3_1 @ X35 )
      | ~ ndr1_0
      | hskp3
      | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('3',plain,
    ( hskp3
    | ! [X35: $i] :
        ( ( c1_1 @ X35 )
        | ( c2_1 @ X35 )
        | ~ ( c3_1 @ X35 ) )
    | hskp1
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf('4',plain,
    ( hskp3
    | hskp4
    | ~ ndr1_0
    | ! [X101: $i] :
        ( ( c0_1 @ X101 )
        | ( c1_1 @ X101 )
        | ~ ( c2_1 @ X101 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl65]) ).

thf(zip_derived_cl181,plain,
    ( ~ hskp3
    | ( c0_1 @ a697 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('5',plain,
    ( ( c0_1 @ a697 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl181]) ).

thf(zip_derived_cl182,plain,
    ( ~ hskp3
    | ( c2_1 @ a697 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('6',plain,
    ( ( c2_1 @ a697 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf(zip_derived_cl183,plain,
    ( ~ hskp3
    | ~ ( c3_1 @ a697 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('7',plain,
    ( ~ ( c3_1 @ a697 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl183]) ).

thf(zip_derived_cl694,plain,
    ( ( c0_1 @ a697 )
   <= ( c0_1 @ a697 ) ),
    inference(split,[status(esa)],[zip_derived_cl181]) ).

thf(zip_derived_cl12,plain,
    ! [X5: $i] :
      ( ( c3_1 @ X5 )
      | ~ ( c0_1 @ X5 )
      | ~ ( c2_1 @ X5 )
      | ~ ndr1_0
      | hskp21
      | hskp22 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl236,plain,
    ( ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c2_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c2_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl1198,plain,
    ( ( ( c3_1 @ a697 )
      | ~ ( c2_1 @ a697 ) )
   <= ( ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
      & ( c0_1 @ a697 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl694,zip_derived_cl236]) ).

thf('8',plain,
    ( ~ ( c0_1 @ a697 )
    | ~ ( c2_1 @ a697 )
    | ~ ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
    | ( c3_1 @ a697 ) ),
    inference(split,[status(esa)],[zip_derived_cl1198]) ).

thf(zip_derived_cl48,plain,
    ! [X68: $i,X69: $i] :
      ( ( c0_1 @ X68 )
      | ( c2_1 @ X68 )
      | ~ ( c3_1 @ X68 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X69 )
      | ~ ( c2_1 @ X69 )
      | ~ ( c3_1 @ X69 )
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl381,plain,
    ( ! [X68: $i] :
        ( ( c0_1 @ X68 )
        | ( c2_1 @ X68 )
        | ~ ( c3_1 @ X68 ) )
   <= ! [X68: $i] :
        ( ( c0_1 @ X68 )
        | ( c2_1 @ X68 )
        | ~ ( c3_1 @ X68 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl153,plain,
    ( ~ hskp10
    | ( c1_1 @ a717 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl638,plain,
    ( ( c1_1 @ a717 )
   <= ( c1_1 @ a717 ) ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i] :
      ( ~ ( c0_1 @ X0 )
      | ~ ( c1_1 @ X0 )
      | ~ ( c3_1 @ X0 )
      | ~ ndr1_0
      | hskp30
      | hskp20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl220,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl1143,plain,
    ( ( ~ ( c0_1 @ a717 )
      | ~ ( c3_1 @ a717 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c1_1 @ a717 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl638,zip_derived_cl220]) ).

thf(zip_derived_cl1449,plain,
    ( ~ ( c0_1 @ a717 )
   <= ~ ( c0_1 @ a717 ) ),
    inference(split,[status(esa)],[zip_derived_cl1143]) ).

thf(zip_derived_cl1741,plain,
    ( ( ~ ( c3_1 @ a717 )
      | ( c2_1 @ a717 ) )
   <= ( ~ ( c0_1 @ a717 )
      & ! [X68: $i] :
          ( ( c0_1 @ X68 )
          | ( c2_1 @ X68 )
          | ~ ( c3_1 @ X68 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl381,zip_derived_cl1449]) ).

thf('9',plain,
    ( ( c0_1 @ a717 )
    | ( c2_1 @ a717 )
    | ~ ! [X68: $i] :
          ( ( c0_1 @ X68 )
          | ( c2_1 @ X68 )
          | ~ ( c3_1 @ X68 ) )
    | ~ ( c3_1 @ a717 ) ),
    inference(split,[status(esa)],[zip_derived_cl1741]) ).

thf('10',plain,
    ( ! [X68: $i] :
        ( ( c0_1 @ X68 )
        | ( c2_1 @ X68 )
        | ~ ( c3_1 @ X68 ) )
    | ! [X7: $i] :
        ( ~ ( c1_1 @ X7 )
        | ~ ( c2_1 @ X7 )
        | ~ ( c3_1 @ X7 ) )
    | ~ ndr1_0
    | hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl73,plain,
    ( ~ hskp30
    | ( c1_1 @ a733 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl478,plain,
    ( ( c1_1 @ a733 )
   <= ( c1_1 @ a733 ) ),
    inference(split,[status(esa)],[zip_derived_cl73]) ).

thf(zip_derived_cl228_001,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl889,plain,
    ( ( ~ ( c0_1 @ a733 )
      | ~ ( c2_1 @ a733 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ( c1_1 @ a733 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl478,zip_derived_cl228]) ).

thf('11',plain,
    ( ~ ( c0_1 @ a733 )
    | ~ ( c2_1 @ a733 )
    | ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
    | ~ ( c1_1 @ a733 ) ),
    inference(split,[status(esa)],[zip_derived_cl889]) ).

thf(zip_derived_cl7,plain,
    ( hskp28
    | hskp30
    | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('12',plain,
    ( hskp30
    | hskp28
    | hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl146,plain,
    ( ~ hskp12
    | ~ ( c1_1 @ a725 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('13',plain,
    ( ~ ( c1_1 @ a725 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf(zip_derived_cl27,plain,
    ! [X26: $i,X27: $i] :
      ( ( c1_1 @ X26 )
      | ( c3_1 @ X26 )
      | ~ ( c2_1 @ X26 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X27 )
      | ~ ( c2_1 @ X27 )
      | ~ ( c3_1 @ X27 )
      | ~ ndr1_0
      | hskp14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl624,plain,
    ( ~ ( c1_1 @ a725 )
   <= ~ ( c1_1 @ a725 ) ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf(zip_derived_cl917,plain,
    ( ( ~ ( c2_1 @ a725 )
      | ( c3_1 @ a725 ) )
   <= ( ~ ( c1_1 @ a725 )
      & ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ( c3_1 @ X26 )
          | ~ ( c2_1 @ X26 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl297,zip_derived_cl624]) ).

thf('14',plain,
    ( ~ ( c2_1 @ a725 )
    | ( c3_1 @ a725 )
    | ~ ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ( c3_1 @ X26 )
          | ~ ( c2_1 @ X26 ) )
    | ( c1_1 @ a725 ) ),
    inference(split,[status(esa)],[zip_derived_cl917]) ).

thf(zip_derived_cl57,plain,
    ! [X85: $i] :
      ( ( c0_1 @ X85 )
      | ( c2_1 @ X85 )
      | ( c3_1 @ X85 )
      | ~ ndr1_0
      | hskp27
      | hskp6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('15',plain,
    ( hskp27
    | hskp6
    | ! [X82: $i] :
        ( ( c0_1 @ X82 )
        | ( c2_1 @ X82 )
        | ( c3_1 @ X82 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf(zip_derived_cl85,plain,
    ( ~ hskp27
    | ( c0_1 @ a691 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl502,plain,
    ( ( c0_1 @ a691 )
   <= ( c0_1 @ a691 ) ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf(zip_derived_cl19,plain,
    ! [X14: $i,X15: $i] :
      ( ( c2_1 @ X14 )
      | ~ ( c0_1 @ X14 )
      | ~ ( c3_1 @ X14 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X15 )
      | ~ ( c2_1 @ X15 )
      | ~ ( c3_1 @ X15 )
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl265,plain,
    ( ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ~ ( c0_1 @ X14 )
        | ~ ( c3_1 @ X14 ) )
   <= ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ~ ( c0_1 @ X14 )
        | ~ ( c3_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl971,plain,
    ( ( ( c2_1 @ a691 )
      | ~ ( c3_1 @ a691 ) )
   <= ( ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ~ ( c0_1 @ X14 )
          | ~ ( c3_1 @ X14 ) )
      & ( c0_1 @ a691 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl502,zip_derived_cl265]) ).

thf('16',plain,
    ( ( c2_1 @ a691 )
    | ~ ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ~ ( c0_1 @ X14 )
          | ~ ( c3_1 @ X14 ) )
    | ~ ( c3_1 @ a691 )
    | ~ ( c0_1 @ a691 ) ),
    inference(split,[status(esa)],[zip_derived_cl971]) ).

thf(zip_derived_cl86,plain,
    ( ~ hskp27
    | ( c1_1 @ a691 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl504,plain,
    ( ( c1_1 @ a691 )
   <= ( c1_1 @ a691 ) ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf(zip_derived_cl228_002,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl974,plain,
    ( ( ~ ( c0_1 @ a691 )
      | ~ ( c2_1 @ a691 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ( c1_1 @ a691 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl504,zip_derived_cl228]) ).

thf('17',plain,
    ( ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
    | ~ ( c2_1 @ a691 )
    | ~ ( c1_1 @ a691 )
    | ~ ( c0_1 @ a691 ) ),
    inference(split,[status(esa)],[zip_derived_cl974]) ).

thf(zip_derived_cl137,plain,
    ( ~ hskp14
    | ( c0_1 @ a730 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl606,plain,
    ( ( c0_1 @ a730 )
   <= ( c0_1 @ a730 ) ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(zip_derived_cl23,plain,
    ! [X21: $i] :
      ( ( c2_1 @ X21 )
      | ( c3_1 @ X21 )
      | ~ ( c0_1 @ X21 )
      | ~ ndr1_0
      | hskp29
      | hskp17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl280,plain,
    ( ! [X21: $i] :
        ( ( c2_1 @ X21 )
        | ( c3_1 @ X21 )
        | ~ ( c0_1 @ X21 ) )
   <= ! [X21: $i] :
        ( ( c2_1 @ X21 )
        | ( c3_1 @ X21 )
        | ~ ( c0_1 @ X21 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl1108,plain,
    ( ( ( c2_1 @ a730 )
      | ( c3_1 @ a730 ) )
   <= ( ! [X21: $i] :
          ( ( c2_1 @ X21 )
          | ( c3_1 @ X21 )
          | ~ ( c0_1 @ X21 ) )
      & ( c0_1 @ a730 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl606,zip_derived_cl280]) ).

thf('18',plain,
    ( ( c2_1 @ a730 )
    | ( c3_1 @ a730 )
    | ~ ! [X21: $i] :
          ( ( c2_1 @ X21 )
          | ( c3_1 @ X21 )
          | ~ ( c0_1 @ X21 ) )
    | ~ ( c0_1 @ a730 ) ),
    inference(split,[status(esa)],[zip_derived_cl1108]) ).

thf(zip_derived_cl138,plain,
    ( ~ hskp14
    | ( c1_1 @ a730 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl608,plain,
    ( ( c1_1 @ a730 )
   <= ( c1_1 @ a730 ) ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf(zip_derived_cl228_003,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl1110,plain,
    ( ( ~ ( c0_1 @ a730 )
      | ~ ( c2_1 @ a730 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ( c1_1 @ a730 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl608,zip_derived_cl228]) ).

thf('19',plain,
    ( ~ ( c2_1 @ a730 )
    | ~ ( c1_1 @ a730 )
    | ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
    | ~ ( c0_1 @ a730 ) ),
    inference(split,[status(esa)],[zip_derived_cl1110]) ).

thf(zip_derived_cl38,plain,
    ! [X45: $i,X46: $i] :
      ( ( c0_1 @ X45 )
      | ~ ( c2_1 @ X45 )
      | ~ ( c3_1 @ X45 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X46 )
      | ~ ( c1_1 @ X46 )
      | ~ ( c3_1 @ X46 )
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl341,plain,
    ( ! [X45: $i] :
        ( ( c0_1 @ X45 )
        | ~ ( c2_1 @ X45 )
        | ~ ( c3_1 @ X45 ) )
   <= ! [X45: $i] :
        ( ( c0_1 @ X45 )
        | ~ ( c2_1 @ X45 )
        | ~ ( c3_1 @ X45 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl194,plain,
    ( ~ hskp0
    | ~ ( c0_1 @ a692 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl720,plain,
    ( ~ ( c0_1 @ a692 )
   <= ~ ( c0_1 @ a692 ) ),
    inference(split,[status(esa)],[zip_derived_cl194]) ).

thf(zip_derived_cl1376,plain,
    ( ( ~ ( c3_1 @ a692 )
      | ~ ( c2_1 @ a692 ) )
   <= ( ~ ( c0_1 @ a692 )
      & ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ~ ( c2_1 @ X45 )
          | ~ ( c3_1 @ X45 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl341,zip_derived_cl720]) ).

thf('20',plain,
    ( ~ ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ~ ( c2_1 @ X45 )
          | ~ ( c3_1 @ X45 ) )
    | ~ ( c3_1 @ a692 )
    | ( c0_1 @ a692 )
    | ~ ( c2_1 @ a692 ) ),
    inference(split,[status(esa)],[zip_derived_cl1376]) ).

thf(zip_derived_cl0,plain,
    ( hskp13
    | hskp20
    | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('21',plain,
    ( hskp20
    | hskp12
    | hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf(zip_derived_cl43,plain,
    ! [X56: $i,X57: $i] :
      ( ( c0_1 @ X56 )
      | ( c3_1 @ X56 )
      | ~ ( c2_1 @ X56 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X57 )
      | ~ ( c2_1 @ X57 )
      | ~ ( c3_1 @ X57 )
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl361,plain,
    ( ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ( c3_1 @ X56 )
        | ~ ( c2_1 @ X56 ) )
   <= ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ( c3_1 @ X56 )
        | ~ ( c2_1 @ X56 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl145,plain,
    ( ~ hskp12
    | ~ ( c0_1 @ a725 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl622,plain,
    ( ~ ( c0_1 @ a725 )
   <= ~ ( c0_1 @ a725 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl1665,plain,
    ( ( ~ ( c2_1 @ a725 )
      | ( c3_1 @ a725 ) )
   <= ( ~ ( c0_1 @ a725 )
      & ! [X56: $i] :
          ( ( c0_1 @ X56 )
          | ( c3_1 @ X56 )
          | ~ ( c2_1 @ X56 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl361,zip_derived_cl622]) ).

thf('22',plain,
    ( ~ ! [X56: $i] :
          ( ( c0_1 @ X56 )
          | ( c3_1 @ X56 )
          | ~ ( c2_1 @ X56 ) )
    | ~ ( c2_1 @ a725 )
    | ( c0_1 @ a725 )
    | ( c3_1 @ a725 ) ),
    inference(split,[status(esa)],[zip_derived_cl1665]) ).

thf('23',plain,
    ( ~ ( c0_1 @ a725 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl147,plain,
    ( ~ hskp12
    | ~ ( c3_1 @ a725 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('24',plain,
    ( ~ ( c3_1 @ a725 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl54,plain,
    ! [X82: $i] :
      ( ( c0_1 @ X82 )
      | ( c2_1 @ X82 )
      | ( c3_1 @ X82 )
      | ~ ndr1_0
      | hskp3
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl404,plain,
    ( ! [X82: $i] :
        ( ( c0_1 @ X82 )
        | ( c2_1 @ X82 )
        | ( c3_1 @ X82 ) )
   <= ! [X82: $i] :
        ( ( c0_1 @ X82 )
        | ( c2_1 @ X82 )
        | ( c3_1 @ X82 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf(zip_derived_cl622_004,plain,
    ( ~ ( c0_1 @ a725 )
   <= ~ ( c0_1 @ a725 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl1872,plain,
    ( ( ( c3_1 @ a725 )
      | ( c2_1 @ a725 ) )
   <= ( ~ ( c0_1 @ a725 )
      & ! [X82: $i] :
          ( ( c0_1 @ X82 )
          | ( c2_1 @ X82 )
          | ( c3_1 @ X82 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl404,zip_derived_cl622]) ).

thf('25',plain,
    ( ( c2_1 @ a725 )
    | ( c0_1 @ a725 )
    | ~ ! [X82: $i] :
          ( ( c0_1 @ X82 )
          | ( c2_1 @ X82 )
          | ( c3_1 @ X82 ) )
    | ( c3_1 @ a725 ) ),
    inference(split,[status(esa)],[zip_derived_cl1872]) ).

thf(zip_derived_cl404_005,plain,
    ( ! [X82: $i] :
        ( ( c0_1 @ X82 )
        | ( c2_1 @ X82 )
        | ( c3_1 @ X82 ) )
   <= ! [X82: $i] :
        ( ( c0_1 @ X82 )
        | ( c2_1 @ X82 )
        | ( c3_1 @ X82 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf(zip_derived_cl142,plain,
    ( ~ hskp13
    | ~ ( c0_1 @ a726 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl616,plain,
    ( ~ ( c0_1 @ a726 )
   <= ~ ( c0_1 @ a726 ) ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf(zip_derived_cl1873,plain,
    ( ( ( c3_1 @ a726 )
      | ( c2_1 @ a726 ) )
   <= ( ~ ( c0_1 @ a726 )
      & ! [X82: $i] :
          ( ( c0_1 @ X82 )
          | ( c2_1 @ X82 )
          | ( c3_1 @ X82 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl404,zip_derived_cl616]) ).

thf('26',plain,
    ( ( c2_1 @ a726 )
    | ( c0_1 @ a726 )
    | ~ ! [X82: $i] :
          ( ( c0_1 @ X82 )
          | ( c2_1 @ X82 )
          | ( c3_1 @ X82 ) )
    | ( c3_1 @ a726 ) ),
    inference(split,[status(esa)],[zip_derived_cl1873]) ).

thf(zip_derived_cl91,plain,
    ( ~ hskp26
    | ~ ( c1_1 @ a777 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('27',plain,
    ( ~ ( c1_1 @ a777 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl62,plain,
    ! [X96: $i] :
      ( ( c0_1 @ X96 )
      | ( c1_1 @ X96 )
      | ~ ( c3_1 @ X96 )
      | ~ ndr1_0
      | hskp5
      | hskp6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl436,plain,
    ( ! [X96: $i] :
        ( ( c0_1 @ X96 )
        | ( c1_1 @ X96 )
        | ~ ( c3_1 @ X96 ) )
   <= ! [X96: $i] :
        ( ( c0_1 @ X96 )
        | ( c1_1 @ X96 )
        | ~ ( c3_1 @ X96 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf(zip_derived_cl514,plain,
    ( ~ ( c1_1 @ a777 )
   <= ~ ( c1_1 @ a777 ) ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl1825,plain,
    ( ( ~ ( c3_1 @ a777 )
      | ( c0_1 @ a777 ) )
   <= ( ~ ( c1_1 @ a777 )
      & ! [X96: $i] :
          ( ( c0_1 @ X96 )
          | ( c1_1 @ X96 )
          | ~ ( c3_1 @ X96 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl436,zip_derived_cl514]) ).

thf('28',plain,
    ( ( c0_1 @ a777 )
    | ( c1_1 @ a777 )
    | ~ ! [X96: $i] :
          ( ( c0_1 @ X96 )
          | ( c1_1 @ X96 )
          | ~ ( c3_1 @ X96 ) )
    | ~ ( c3_1 @ a777 ) ),
    inference(split,[status(esa)],[zip_derived_cl1825]) ).

thf(zip_derived_cl60,plain,
    ! [X91: $i,X92: $i] :
      ( ( c0_1 @ X91 )
      | ( c2_1 @ X91 )
      | ( c3_1 @ X91 )
      | ~ ndr1_0
      | ( c0_1 @ X92 )
      | ( c3_1 @ X92 )
      | ~ ( c1_1 @ X92 )
      | ~ ndr1_0
      | hskp6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('29',plain,
    ( ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ( c3_1 @ X65 )
        | ~ ( c1_1 @ X65 ) )
    | ! [X82: $i] :
        ( ( c0_1 @ X82 )
        | ( c2_1 @ X82 )
        | ( c3_1 @ X82 ) )
    | ~ ndr1_0
    | hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl60]) ).

thf(zip_derived_cl141,plain,
    ( ~ hskp13
    | ( c1_1 @ a726 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl614,plain,
    ( ( c1_1 @ a726 )
   <= ( c1_1 @ a726 ) ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf(zip_derived_cl47,plain,
    ! [X65: $i,X66: $i,X67: $i] :
      ( ( c0_1 @ X65 )
      | ( c3_1 @ X65 )
      | ~ ( c1_1 @ X65 )
      | ~ ndr1_0
      | ( c0_1 @ X66 )
      | ( c3_1 @ X66 )
      | ~ ( c2_1 @ X66 )
      | ~ ndr1_0
      | ( c2_1 @ X67 )
      | ~ ( c0_1 @ X67 )
      | ~ ( c3_1 @ X67 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl378,plain,
    ( ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ( c3_1 @ X65 )
        | ~ ( c1_1 @ X65 ) )
   <= ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ( c3_1 @ X65 )
        | ~ ( c1_1 @ X65 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(zip_derived_cl1512,plain,
    ( ( ( c0_1 @ a726 )
      | ( c3_1 @ a726 ) )
   <= ( ! [X65: $i] :
          ( ( c0_1 @ X65 )
          | ( c3_1 @ X65 )
          | ~ ( c1_1 @ X65 ) )
      & ( c1_1 @ a726 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl614,zip_derived_cl378]) ).

thf('30',plain,
    ( ~ ( c1_1 @ a726 )
    | ( c3_1 @ a726 )
    | ~ ! [X65: $i] :
          ( ( c0_1 @ X65 )
          | ( c3_1 @ X65 )
          | ~ ( c1_1 @ X65 ) )
    | ( c0_1 @ a726 ) ),
    inference(split,[status(esa)],[zip_derived_cl1512]) ).

thf(zip_derived_cl105,plain,
    ( ~ hskp22
    | ( c1_1 @ a761 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl542,plain,
    ( ( c1_1 @ a761 )
   <= ( c1_1 @ a761 ) ),
    inference(split,[status(esa)],[zip_derived_cl105]) ).

thf(zip_derived_cl51,plain,
    ! [X75: $i,X76: $i,X77: $i] :
      ( ( c0_1 @ X75 )
      | ( c2_1 @ X75 )
      | ~ ( c1_1 @ X75 )
      | ~ ndr1_0
      | ( c3_1 @ X76 )
      | ~ ( c0_1 @ X76 )
      | ~ ( c1_1 @ X76 )
      | ~ ndr1_0
      | ( c3_1 @ X77 )
      | ~ ( c1_1 @ X77 )
      | ~ ( c2_1 @ X77 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl394,plain,
    ( ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c2_1 @ X75 )
        | ~ ( c1_1 @ X75 ) )
   <= ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c2_1 @ X75 )
        | ~ ( c1_1 @ X75 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf(zip_derived_cl1607,plain,
    ( ( ( c0_1 @ a761 )
      | ( c2_1 @ a761 ) )
   <= ( ! [X75: $i] :
          ( ( c0_1 @ X75 )
          | ( c2_1 @ X75 )
          | ~ ( c1_1 @ X75 ) )
      & ( c1_1 @ a761 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl542,zip_derived_cl394]) ).

thf('31',plain,
    ( ~ ( c1_1 @ a761 )
    | ( c0_1 @ a761 )
    | ~ ! [X75: $i] :
          ( ( c0_1 @ X75 )
          | ( c2_1 @ X75 )
          | ~ ( c1_1 @ X75 ) )
    | ( c2_1 @ a761 ) ),
    inference(split,[status(esa)],[zip_derived_cl1607]) ).

thf(zip_derived_cl68,plain,
    ! [X107: $i,X108: $i] :
      ( ( c0_1 @ X107 )
      | ( c1_1 @ X107 )
      | ~ ( c2_1 @ X107 )
      | ~ ndr1_0
      | ( c1_1 @ X108 )
      | ( c2_1 @ X108 )
      | ~ ( c0_1 @ X108 )
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('32',plain,
    ( hskp28
    | ! [X41: $i] :
        ( ( c1_1 @ X41 )
        | ( c2_1 @ X41 )
        | ~ ( c0_1 @ X41 ) )
    | ~ ndr1_0
    | ! [X101: $i] :
        ( ( c0_1 @ X101 )
        | ( c1_1 @ X101 )
        | ~ ( c2_1 @ X101 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl68]) ).

thf('33',plain,
    ( hskp20
    | hskp30
    | ~ ndr1_0
    | ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl186,plain,
    ( ~ hskp2
    | ( c1_1 @ a696 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl704,plain,
    ( ( c1_1 @ a696 )
   <= ( c1_1 @ a696 ) ),
    inference(split,[status(esa)],[zip_derived_cl186]) ).

thf(zip_derived_cl220_006,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl1254,plain,
    ( ( ~ ( c0_1 @ a696 )
      | ~ ( c3_1 @ a696 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c1_1 @ a696 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl704,zip_derived_cl220]) ).

thf('34',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c3_1 @ a696 )
    | ~ ( c1_1 @ a696 )
    | ~ ( c0_1 @ a696 ) ),
    inference(split,[status(esa)],[zip_derived_cl1254]) ).

thf(zip_derived_cl704_007,plain,
    ( ( c1_1 @ a696 )
   <= ( c1_1 @ a696 ) ),
    inference(split,[status(esa)],[zip_derived_cl186]) ).

thf(zip_derived_cl273,plain,
    ( ! [X17: $i] :
        ( ( c2_1 @ X17 )
        | ( c3_1 @ X17 )
        | ~ ( c1_1 @ X17 ) )
   <= ! [X17: $i] :
        ( ( c2_1 @ X17 )
        | ( c3_1 @ X17 )
        | ~ ( c1_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl1261,plain,
    ( ( ( c2_1 @ a696 )
      | ( c3_1 @ a696 ) )
   <= ( ! [X17: $i] :
          ( ( c2_1 @ X17 )
          | ( c3_1 @ X17 )
          | ~ ( c1_1 @ X17 ) )
      & ( c1_1 @ a696 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl704,zip_derived_cl273]) ).

thf('35',plain,
    ( ( c3_1 @ a696 )
    | ~ ( c1_1 @ a696 )
    | ~ ! [X17: $i] :
          ( ( c2_1 @ X17 )
          | ( c3_1 @ X17 )
          | ~ ( c1_1 @ X17 ) )
    | ( c2_1 @ a696 ) ),
    inference(split,[status(esa)],[zip_derived_cl1261]) ).

thf(zip_derived_cl185,plain,
    ( ~ hskp2
    | ( c0_1 @ a696 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('36',plain,
    ( ( c0_1 @ a696 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl185]) ).

thf('37',plain,
    ( ( c1_1 @ a696 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl186]) ).

thf(zip_derived_cl187,plain,
    ( ~ hskp2
    | ~ ( c2_1 @ a696 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('38',plain,
    ( ~ ( c2_1 @ a696 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl187]) ).

thf(zip_derived_cl66,plain,
    ! [X102: $i,X103: $i] :
      ( ( c0_1 @ X102 )
      | ( c1_1 @ X102 )
      | ~ ( c2_1 @ X102 )
      | ~ ndr1_0
      | ( c1_1 @ X103 )
      | ~ ( c2_1 @ X103 )
      | ~ ( c3_1 @ X103 )
      | ~ ndr1_0
      | hskp2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('39',plain,
    ( hskp2
    | ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ~ ( c2_1 @ X22 )
        | ~ ( c3_1 @ X22 ) )
    | ~ ndr1_0
    | ! [X101: $i] :
        ( ( c0_1 @ X101 )
        | ( c1_1 @ X101 )
        | ~ ( c2_1 @ X101 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf(zip_derived_cl320,plain,
    ( ! [X35: $i] :
        ( ( c1_1 @ X35 )
        | ( c2_1 @ X35 )
        | ~ ( c3_1 @ X35 ) )
   <= ! [X35: $i] :
        ( ( c1_1 @ X35 )
        | ( c2_1 @ X35 )
        | ~ ( c3_1 @ X35 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl151,plain,
    ( ~ hskp11
    | ~ ( c1_1 @ a722 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl634,plain,
    ( ~ ( c1_1 @ a722 )
   <= ~ ( c1_1 @ a722 ) ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl1225,plain,
    ( ( ~ ( c3_1 @ a722 )
      | ( c2_1 @ a722 ) )
   <= ( ~ ( c1_1 @ a722 )
      & ! [X35: $i] :
          ( ( c1_1 @ X35 )
          | ( c2_1 @ X35 )
          | ~ ( c3_1 @ X35 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl320,zip_derived_cl634]) ).

thf('40',plain,
    ( ( c2_1 @ a722 )
    | ~ ! [X35: $i] :
          ( ( c1_1 @ X35 )
          | ( c2_1 @ X35 )
          | ~ ( c3_1 @ X35 ) )
    | ( c1_1 @ a722 )
    | ~ ( c3_1 @ a722 ) ),
    inference(split,[status(esa)],[zip_derived_cl1225]) ).

thf(zip_derived_cl52,plain,
    ! [X78: $i,X79: $i] :
      ( ( c0_1 @ X78 )
      | ( c2_1 @ X78 )
      | ~ ( c1_1 @ X78 )
      | ~ ndr1_0
      | ( c1_1 @ X79 )
      | ( c2_1 @ X79 )
      | ~ ( c3_1 @ X79 )
      | ~ ndr1_0
      | hskp29 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('41',plain,
    ( hskp29
    | ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c2_1 @ X75 )
        | ~ ( c1_1 @ X75 ) )
    | ~ ndr1_0
    | ! [X35: $i] :
        ( ( c1_1 @ X35 )
        | ( c2_1 @ X35 )
        | ~ ( c3_1 @ X35 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl109,plain,
    ( ~ hskp21
    | ( c1_1 @ a760 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl550,plain,
    ( ( c1_1 @ a760 )
   <= ( c1_1 @ a760 ) ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf(zip_derived_cl394_008,plain,
    ( ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c2_1 @ X75 )
        | ~ ( c1_1 @ X75 ) )
   <= ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c2_1 @ X75 )
        | ~ ( c1_1 @ X75 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf(zip_derived_cl1606,plain,
    ( ( ( c0_1 @ a760 )
      | ( c2_1 @ a760 ) )
   <= ( ! [X75: $i] :
          ( ( c0_1 @ X75 )
          | ( c2_1 @ X75 )
          | ~ ( c1_1 @ X75 ) )
      & ( c1_1 @ a760 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl550,zip_derived_cl394]) ).

thf('42',plain,
    ( ( c2_1 @ a760 )
    | ~ ( c1_1 @ a760 )
    | ~ ! [X75: $i] :
          ( ( c0_1 @ X75 )
          | ( c2_1 @ X75 )
          | ~ ( c1_1 @ X75 ) )
    | ( c0_1 @ a760 ) ),
    inference(split,[status(esa)],[zip_derived_cl1606]) ).

thf(zip_derived_cl550_009,plain,
    ( ( c1_1 @ a760 )
   <= ( c1_1 @ a760 ) ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf(zip_derived_cl13,plain,
    ! [X6: $i,X7: $i] :
      ( ( c3_1 @ X6 )
      | ~ ( c0_1 @ X6 )
      | ~ ( c2_1 @ X6 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X7 )
      | ~ ( c2_1 @ X7 )
      | ~ ( c3_1 @ X7 )
      | ~ ndr1_0
      | hskp3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl240,plain,
    ( ! [X7: $i] :
        ( ~ ( c1_1 @ X7 )
        | ~ ( c2_1 @ X7 )
        | ~ ( c3_1 @ X7 ) )
   <= ! [X7: $i] :
        ( ~ ( c1_1 @ X7 )
        | ~ ( c2_1 @ X7 )
        | ~ ( c3_1 @ X7 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl1072,plain,
    ( ( ~ ( c2_1 @ a760 )
      | ~ ( c3_1 @ a760 ) )
   <= ( ! [X7: $i] :
          ( ~ ( c1_1 @ X7 )
          | ~ ( c2_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
      & ( c1_1 @ a760 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl550,zip_derived_cl240]) ).

thf('43',plain,
    ( ~ ( c2_1 @ a760 )
    | ~ ( c3_1 @ a760 )
    | ~ ! [X7: $i] :
          ( ~ ( c1_1 @ X7 )
          | ~ ( c2_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
    | ~ ( c1_1 @ a760 ) ),
    inference(split,[status(esa)],[zip_derived_cl1072]) ).

thf('44',plain,
    ( hskp28
    | ! [X7: $i] :
        ( ~ ( c1_1 @ X7 )
        | ~ ( c2_1 @ X7 )
        | ~ ( c3_1 @ X7 ) )
    | ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ~ ( c0_1 @ X14 )
        | ~ ( c3_1 @ X14 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf('45',plain,
    ( ~ ( c1_1 @ a722 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl29,plain,
    ! [X30: $i] :
      ( ( c1_1 @ X30 )
      | ( c3_1 @ X30 )
      | ~ ( c0_1 @ X30 )
      | ~ ndr1_0
      | hskp15
      | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl304,plain,
    ( ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ( c3_1 @ X30 )
        | ~ ( c0_1 @ X30 ) )
   <= ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ( c3_1 @ X30 )
        | ~ ( c0_1 @ X30 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl102,plain,
    ( ~ hskp23
    | ~ ( c1_1 @ a763 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl536,plain,
    ( ~ ( c1_1 @ a763 )
   <= ~ ( c1_1 @ a763 ) ),
    inference(split,[status(esa)],[zip_derived_cl102]) ).

thf(zip_derived_cl1047,plain,
    ( ( ~ ( c0_1 @ a763 )
      | ( c3_1 @ a763 ) )
   <= ( ~ ( c1_1 @ a763 )
      & ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ( c3_1 @ X30 )
          | ~ ( c0_1 @ X30 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl304,zip_derived_cl536]) ).

thf('46',plain,
    ( ( c3_1 @ a763 )
    | ~ ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ( c3_1 @ X30 )
          | ~ ( c0_1 @ X30 ) )
    | ( c1_1 @ a763 )
    | ~ ( c0_1 @ a763 ) ),
    inference(split,[status(esa)],[zip_derived_cl1047]) ).

thf(zip_derived_cl34,plain,
    ! [X36: $i,X37: $i,X38: $i] :
      ( ( c1_1 @ X36 )
      | ( c2_1 @ X36 )
      | ~ ( c3_1 @ X36 )
      | ~ ndr1_0
      | ( c1_1 @ X37 )
      | ~ ( c2_1 @ X37 )
      | ~ ( c3_1 @ X37 )
      | ~ ndr1_0
      | ( c3_1 @ X38 )
      | ~ ( c0_1 @ X38 )
      | ~ ( c1_1 @ X38 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('47',plain,
    ( ! [X35: $i] :
        ( ( c1_1 @ X35 )
        | ( c2_1 @ X35 )
        | ~ ( c3_1 @ X35 ) )
    | ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c1_1 @ X8 ) )
    | ~ ndr1_0
    | ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ~ ( c2_1 @ X22 )
        | ~ ( c3_1 @ X22 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl448_010,plain,
    ( ! [X101: $i] :
        ( ( c0_1 @ X101 )
        | ( c1_1 @ X101 )
        | ~ ( c2_1 @ X101 ) )
   <= ! [X101: $i] :
        ( ( c0_1 @ X101 )
        | ( c1_1 @ X101 )
        | ~ ( c2_1 @ X101 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl65]) ).

thf(zip_derived_cl195,plain,
    ( ~ hskp0
    | ~ ( c1_1 @ a692 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl722,plain,
    ( ~ ( c1_1 @ a692 )
   <= ~ ( c1_1 @ a692 ) ),
    inference(split,[status(esa)],[zip_derived_cl195]) ).

thf(zip_derived_cl1933,plain,
    ( ( ~ ( c2_1 @ a692 )
      | ( c0_1 @ a692 ) )
   <= ( ~ ( c1_1 @ a692 )
      & ! [X101: $i] :
          ( ( c0_1 @ X101 )
          | ( c1_1 @ X101 )
          | ~ ( c2_1 @ X101 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl448,zip_derived_cl722]) ).

thf('48',plain,
    ( ~ ! [X101: $i] :
          ( ( c0_1 @ X101 )
          | ( c1_1 @ X101 )
          | ~ ( c2_1 @ X101 ) )
    | ( c0_1 @ a692 )
    | ( c1_1 @ a692 )
    | ~ ( c2_1 @ a692 ) ),
    inference(split,[status(esa)],[zip_derived_cl1933]) ).

thf(zip_derived_cl361_011,plain,
    ( ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ( c3_1 @ X56 )
        | ~ ( c2_1 @ X56 ) )
   <= ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ( c3_1 @ X56 )
        | ~ ( c2_1 @ X56 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl720_012,plain,
    ( ~ ( c0_1 @ a692 )
   <= ~ ( c0_1 @ a692 ) ),
    inference(split,[status(esa)],[zip_derived_cl194]) ).

thf(zip_derived_cl1655,plain,
    ( ( ~ ( c2_1 @ a692 )
      | ( c3_1 @ a692 ) )
   <= ( ~ ( c0_1 @ a692 )
      & ! [X56: $i] :
          ( ( c0_1 @ X56 )
          | ( c3_1 @ X56 )
          | ~ ( c2_1 @ X56 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl361,zip_derived_cl720]) ).

thf('49',plain,
    ( ( c3_1 @ a692 )
    | ~ ! [X56: $i] :
          ( ( c0_1 @ X56 )
          | ( c3_1 @ X56 )
          | ~ ( c2_1 @ X56 ) )
    | ( c0_1 @ a692 )
    | ~ ( c2_1 @ a692 ) ),
    inference(split,[status(esa)],[zip_derived_cl1655]) ).

thf('50',plain,
    ( ~ ( c0_1 @ a692 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl194]) ).

thf(zip_derived_cl59,plain,
    ! [X89: $i,X90: $i] :
      ( ( c0_1 @ X89 )
      | ( c2_1 @ X89 )
      | ( c3_1 @ X89 )
      | ~ ndr1_0
      | ( c2_1 @ X90 )
      | ~ ( c0_1 @ X90 )
      | ~ ( c3_1 @ X90 )
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('51',plain,
    ( hskp0
    | ! [X82: $i] :
        ( ( c0_1 @ X82 )
        | ( c2_1 @ X82 )
        | ( c3_1 @ X82 ) )
    | ~ ndr1_0
    | ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ~ ( c0_1 @ X14 )
        | ~ ( c3_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl41,plain,
    ! [X52: $i,X53: $i] :
      ( ( c0_1 @ X52 )
      | ~ ( c1_1 @ X52 )
      | ~ ( c3_1 @ X52 )
      | ~ ndr1_0
      | ( c1_1 @ X53 )
      | ( c2_1 @ X53 )
      | ~ ( c0_1 @ X53 )
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('52',plain,
    ( ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ~ ( c1_1 @ X52 )
        | ~ ( c3_1 @ X52 ) )
    | ! [X41: $i] :
        ( ( c1_1 @ X41 )
        | ( c2_1 @ X41 )
        | ~ ( c0_1 @ X41 ) )
    | ~ ndr1_0
    | hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl320_013,plain,
    ( ! [X35: $i] :
        ( ( c1_1 @ X35 )
        | ( c2_1 @ X35 )
        | ~ ( c3_1 @ X35 ) )
   <= ! [X35: $i] :
        ( ( c1_1 @ X35 )
        | ( c2_1 @ X35 )
        | ~ ( c3_1 @ X35 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl536_014,plain,
    ( ~ ( c1_1 @ a763 )
   <= ~ ( c1_1 @ a763 ) ),
    inference(split,[status(esa)],[zip_derived_cl102]) ).

thf(zip_derived_cl1231,plain,
    ( ( ~ ( c3_1 @ a763 )
      | ( c2_1 @ a763 ) )
   <= ( ~ ( c1_1 @ a763 )
      & ! [X35: $i] :
          ( ( c1_1 @ X35 )
          | ( c2_1 @ X35 )
          | ~ ( c3_1 @ X35 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl320,zip_derived_cl536]) ).

thf('53',plain,
    ( ~ ( c3_1 @ a763 )
    | ( c1_1 @ a763 )
    | ~ ! [X35: $i] :
          ( ( c1_1 @ X35 )
          | ( c2_1 @ X35 )
          | ~ ( c3_1 @ X35 ) )
    | ( c2_1 @ a763 ) ),
    inference(split,[status(esa)],[zip_derived_cl1231]) ).

thf(zip_derived_cl478_015,plain,
    ( ( c1_1 @ a733 )
   <= ( c1_1 @ a733 ) ),
    inference(split,[status(esa)],[zip_derived_cl73]) ).

thf(zip_derived_cl353,plain,
    ( ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ~ ( c1_1 @ X52 )
        | ~ ( c3_1 @ X52 ) )
   <= ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ~ ( c1_1 @ X52 )
        | ~ ( c3_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl1299,plain,
    ( ( ( c0_1 @ a733 )
      | ~ ( c3_1 @ a733 ) )
   <= ( ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ~ ( c1_1 @ X52 )
          | ~ ( c3_1 @ X52 ) )
      & ( c1_1 @ a733 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl478,zip_derived_cl353]) ).

thf('54',plain,
    ( ( c0_1 @ a733 )
    | ~ ( c3_1 @ a733 )
    | ~ ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ~ ( c1_1 @ X52 )
          | ~ ( c3_1 @ X52 ) )
    | ~ ( c1_1 @ a733 ) ),
    inference(split,[status(esa)],[zip_derived_cl1299]) ).

thf(zip_derived_cl97,plain,
    ( ~ hskp24
    | ( c1_1 @ a764 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl526,plain,
    ( ( c1_1 @ a764 )
   <= ( c1_1 @ a764 ) ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(zip_derived_cl394_016,plain,
    ( ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c2_1 @ X75 )
        | ~ ( c1_1 @ X75 ) )
   <= ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c2_1 @ X75 )
        | ~ ( c1_1 @ X75 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf(zip_derived_cl1608,plain,
    ( ( ( c0_1 @ a764 )
      | ( c2_1 @ a764 ) )
   <= ( ! [X75: $i] :
          ( ( c0_1 @ X75 )
          | ( c2_1 @ X75 )
          | ~ ( c1_1 @ X75 ) )
      & ( c1_1 @ a764 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl526,zip_derived_cl394]) ).

thf('55',plain,
    ( ( c0_1 @ a764 )
    | ( c2_1 @ a764 )
    | ~ ! [X75: $i] :
          ( ( c0_1 @ X75 )
          | ( c2_1 @ X75 )
          | ~ ( c1_1 @ X75 ) )
    | ~ ( c1_1 @ a764 ) ),
    inference(split,[status(esa)],[zip_derived_cl1608]) ).

thf('56',plain,
    ( ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c2_1 @ X75 )
        | ~ ( c1_1 @ X75 ) )
    | ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c1_1 @ X8 ) )
    | ~ ndr1_0
    | ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf(zip_derived_cl82,plain,
    ( ~ hskp28
    | ( c1_1 @ a695 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl496,plain,
    ( ( c1_1 @ a695 )
   <= ( c1_1 @ a695 ) ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl11,plain,
    ! [X3: $i,X4: $i] :
      ( ( c3_1 @ X3 )
      | ~ ( c1_1 @ X3 )
      | ~ ( c2_1 @ X3 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X4 )
      | ~ ( c2_1 @ X4 )
      | ~ ( c3_1 @ X4 )
      | ~ ndr1_0
      | hskp20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl233,plain,
    ( ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl953,plain,
    ( ( ( c3_1 @ a695 )
      | ~ ( c2_1 @ a695 ) )
   <= ( ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ( c1_1 @ a695 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl496,zip_derived_cl233]) ).

thf('57',plain,
    ( ( c3_1 @ a695 )
    | ~ ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
    | ~ ( c1_1 @ a695 )
    | ~ ( c2_1 @ a695 ) ),
    inference(split,[status(esa)],[zip_derived_cl953]) ).

thf(zip_derived_cl81,plain,
    ( ~ hskp28
    | ( c0_1 @ a695 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl494,plain,
    ( ( c0_1 @ a695 )
   <= ( c0_1 @ a695 ) ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf(zip_derived_cl232,plain,
    ( ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 )
        | ~ ( c3_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 )
        | ~ ( c3_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl947,plain,
    ( ( ~ ( c2_1 @ a695 )
      | ~ ( c3_1 @ a695 ) )
   <= ( ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c2_1 @ X4 )
          | ~ ( c3_1 @ X4 ) )
      & ( c0_1 @ a695 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl494,zip_derived_cl232]) ).

thf('58',plain,
    ( ~ ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c2_1 @ X4 )
          | ~ ( c3_1 @ X4 ) )
    | ~ ( c3_1 @ a695 )
    | ~ ( c0_1 @ a695 )
    | ~ ( c2_1 @ a695 ) ),
    inference(split,[status(esa)],[zip_derived_cl947]) ).

thf(zip_derived_cl36,plain,
    ! [X41: $i,X42: $i] :
      ( ( c1_1 @ X41 )
      | ( c2_1 @ X41 )
      | ~ ( c0_1 @ X41 )
      | ~ ndr1_0
      | ( c2_1 @ X42 )
      | ~ ( c0_1 @ X42 )
      | ~ ( c1_1 @ X42 )
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl333,plain,
    ( ! [X41: $i] :
        ( ( c1_1 @ X41 )
        | ( c2_1 @ X41 )
        | ~ ( c0_1 @ X41 ) )
   <= ! [X41: $i] :
        ( ( c1_1 @ X41 )
        | ( c2_1 @ X41 )
        | ~ ( c0_1 @ X41 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl634_017,plain,
    ( ~ ( c1_1 @ a722 )
   <= ~ ( c1_1 @ a722 ) ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl1467,plain,
    ( ( ~ ( c0_1 @ a722 )
      | ( c2_1 @ a722 ) )
   <= ( ~ ( c1_1 @ a722 )
      & ! [X41: $i] :
          ( ( c1_1 @ X41 )
          | ( c2_1 @ X41 )
          | ~ ( c0_1 @ X41 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl333,zip_derived_cl634]) ).

thf('59',plain,
    ( ~ ! [X41: $i] :
          ( ( c1_1 @ X41 )
          | ( c2_1 @ X41 )
          | ~ ( c0_1 @ X41 ) )
    | ( c2_1 @ a722 )
    | ~ ( c0_1 @ a722 )
    | ( c1_1 @ a722 ) ),
    inference(split,[status(esa)],[zip_derived_cl1467]) ).

thf(zip_derived_cl25,plain,
    ! [X23: $i] :
      ( ( c1_1 @ X23 )
      | ~ ( c0_1 @ X23 )
      | ~ ( c2_1 @ X23 )
      | ~ ndr1_0
      | hskp7
      | hskp16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl288,plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c2_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c2_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl634_018,plain,
    ( ~ ( c1_1 @ a722 )
   <= ~ ( c1_1 @ a722 ) ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl846,plain,
    ( ( ~ ( c2_1 @ a722 )
      | ~ ( c0_1 @ a722 ) )
   <= ( ~ ( c1_1 @ a722 )
      & ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c2_1 @ X23 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl288,zip_derived_cl634]) ).

thf('60',plain,
    ( ~ ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c2_1 @ X23 ) )
    | ~ ( c2_1 @ a722 )
    | ~ ( c0_1 @ a722 )
    | ( c1_1 @ a722 ) ),
    inference(split,[status(esa)],[zip_derived_cl846]) ).

thf(zip_derived_cl173,plain,
    ( ~ hskp5
    | ( c0_1 @ a701 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl678,plain,
    ( ( c0_1 @ a701 )
   <= ( c0_1 @ a701 ) ),
    inference(split,[status(esa)],[zip_derived_cl173]) ).

thf(zip_derived_cl232_019,plain,
    ( ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 )
        | ~ ( c3_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 )
        | ~ ( c3_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl1189,plain,
    ( ( ~ ( c2_1 @ a701 )
      | ~ ( c3_1 @ a701 ) )
   <= ( ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c2_1 @ X4 )
          | ~ ( c3_1 @ X4 ) )
      & ( c0_1 @ a701 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl678,zip_derived_cl232]) ).

thf('61',plain,
    ( ~ ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c2_1 @ X4 )
          | ~ ( c3_1 @ X4 ) )
    | ~ ( c3_1 @ a701 )
    | ~ ( c0_1 @ a701 )
    | ~ ( c2_1 @ a701 ) ),
    inference(split,[status(esa)],[zip_derived_cl1189]) ).

thf(zip_derived_cl67,plain,
    ! [X104: $i,X105: $i,X106: $i] :
      ( ( c0_1 @ X104 )
      | ( c1_1 @ X104 )
      | ~ ( c2_1 @ X104 )
      | ~ ndr1_0
      | ( c1_1 @ X105 )
      | ( c3_1 @ X105 )
      | ~ ( c0_1 @ X105 )
      | ~ ndr1_0
      | ( c3_1 @ X106 )
      | ~ ( c1_1 @ X106 )
      | ~ ( c2_1 @ X106 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('62',plain,
    ( ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ( c3_1 @ X30 )
        | ~ ( c0_1 @ X30 ) )
    | ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
    | ~ ndr1_0
    | ! [X101: $i] :
        ( ( c0_1 @ X101 )
        | ( c1_1 @ X101 )
        | ~ ( c2_1 @ X101 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl67]) ).

thf(zip_derived_cl614_020,plain,
    ( ( c1_1 @ a726 )
   <= ( c1_1 @ a726 ) ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf(zip_derived_cl233_021,plain,
    ( ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl1129,plain,
    ( ( ( c3_1 @ a726 )
      | ~ ( c2_1 @ a726 ) )
   <= ( ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ( c1_1 @ a726 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl614,zip_derived_cl233]) ).

thf('63',plain,
    ( ~ ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
    | ~ ( c2_1 @ a726 )
    | ~ ( c1_1 @ a726 )
    | ( c3_1 @ a726 ) ),
    inference(split,[status(esa)],[zip_derived_cl1129]) ).

thf('64',plain,
    ( hskp6
    | hskp5
    | ! [X96: $i] :
        ( ( c0_1 @ X96 )
        | ( c1_1 @ X96 )
        | ~ ( c3_1 @ X96 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf(zip_derived_cl448_022,plain,
    ( ! [X101: $i] :
        ( ( c0_1 @ X101 )
        | ( c1_1 @ X101 )
        | ~ ( c2_1 @ X101 ) )
   <= ! [X101: $i] :
        ( ( c0_1 @ X101 )
        | ( c1_1 @ X101 )
        | ~ ( c2_1 @ X101 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl65]) ).

thf(zip_derived_cl131,plain,
    ( ~ hskp16
    | ~ ( c1_1 @ a738 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl594,plain,
    ( ~ ( c1_1 @ a738 )
   <= ~ ( c1_1 @ a738 ) ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf(zip_derived_cl1940,plain,
    ( ( ~ ( c2_1 @ a738 )
      | ( c0_1 @ a738 ) )
   <= ( ~ ( c1_1 @ a738 )
      & ! [X101: $i] :
          ( ( c0_1 @ X101 )
          | ( c1_1 @ X101 )
          | ~ ( c2_1 @ X101 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl448,zip_derived_cl594]) ).

thf('65',plain,
    ( ( c0_1 @ a738 )
    | ~ ! [X101: $i] :
          ( ( c0_1 @ X101 )
          | ( c1_1 @ X101 )
          | ~ ( c2_1 @ X101 ) )
    | ( c1_1 @ a738 )
    | ~ ( c2_1 @ a738 ) ),
    inference(split,[status(esa)],[zip_derived_cl1940]) ).

thf(zip_derived_cl436_023,plain,
    ( ! [X96: $i] :
        ( ( c0_1 @ X96 )
        | ( c1_1 @ X96 )
        | ~ ( c3_1 @ X96 ) )
   <= ! [X96: $i] :
        ( ( c0_1 @ X96 )
        | ( c1_1 @ X96 )
        | ~ ( c3_1 @ X96 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf(zip_derived_cl594_024,plain,
    ( ~ ( c1_1 @ a738 )
   <= ~ ( c1_1 @ a738 ) ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf(zip_derived_cl1821,plain,
    ( ( ~ ( c3_1 @ a738 )
      | ( c0_1 @ a738 ) )
   <= ( ~ ( c1_1 @ a738 )
      & ! [X96: $i] :
          ( ( c0_1 @ X96 )
          | ( c1_1 @ X96 )
          | ~ ( c3_1 @ X96 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl436,zip_derived_cl594]) ).

thf('66',plain,
    ( ( c0_1 @ a738 )
    | ~ ! [X96: $i] :
          ( ( c0_1 @ X96 )
          | ( c1_1 @ X96 )
          | ~ ( c3_1 @ X96 ) )
    | ( c1_1 @ a738 )
    | ~ ( c3_1 @ a738 ) ),
    inference(split,[status(esa)],[zip_derived_cl1821]) ).

thf(zip_derived_cl40,plain,
    ! [X49: $i,X50: $i,X51: $i] :
      ( ( c0_1 @ X49 )
      | ~ ( c2_1 @ X49 )
      | ~ ( c3_1 @ X49 )
      | ~ ndr1_0
      | ( c1_1 @ X50 )
      | ~ ( c2_1 @ X50 )
      | ~ ( c3_1 @ X50 )
      | ~ ndr1_0
      | ( c2_1 @ X51 )
      | ( c3_1 @ X51 )
      | ~ ( c1_1 @ X51 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('67',plain,
    ( ! [X17: $i] :
        ( ( c2_1 @ X17 )
        | ( c3_1 @ X17 )
        | ~ ( c1_1 @ X17 ) )
    | ! [X45: $i] :
        ( ( c0_1 @ X45 )
        | ~ ( c2_1 @ X45 )
        | ~ ( c3_1 @ X45 ) )
    | ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ~ ( c2_1 @ X22 )
        | ~ ( c3_1 @ X22 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl24,plain,
    ! [X22: $i] :
      ( ( c1_1 @ X22 )
      | ~ ( c2_1 @ X22 )
      | ~ ( c3_1 @ X22 )
      | ~ ndr1_0
      | hskp7
      | hskp13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl284,plain,
    ( ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ~ ( c2_1 @ X22 )
        | ~ ( c3_1 @ X22 ) )
   <= ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ~ ( c2_1 @ X22 )
        | ~ ( c3_1 @ X22 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl594_025,plain,
    ( ~ ( c1_1 @ a738 )
   <= ~ ( c1_1 @ a738 ) ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf(zip_derived_cl802,plain,
    ( ( ~ ( c3_1 @ a738 )
      | ~ ( c2_1 @ a738 ) )
   <= ( ~ ( c1_1 @ a738 )
      & ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ~ ( c2_1 @ X22 )
          | ~ ( c3_1 @ X22 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl284,zip_derived_cl594]) ).

thf('68',plain,
    ( ~ ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ~ ( c2_1 @ X22 )
          | ~ ( c3_1 @ X22 ) )
    | ~ ( c3_1 @ a738 )
    | ( c1_1 @ a738 )
    | ~ ( c2_1 @ a738 ) ),
    inference(split,[status(esa)],[zip_derived_cl802]) ).

thf(zip_derived_cl361_026,plain,
    ( ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ( c3_1 @ X56 )
        | ~ ( c2_1 @ X56 ) )
   <= ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ( c3_1 @ X56 )
        | ~ ( c2_1 @ X56 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl616_027,plain,
    ( ~ ( c0_1 @ a726 )
   <= ~ ( c0_1 @ a726 ) ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf(zip_derived_cl1666,plain,
    ( ( ~ ( c2_1 @ a726 )
      | ( c3_1 @ a726 ) )
   <= ( ~ ( c0_1 @ a726 )
      & ! [X56: $i] :
          ( ( c0_1 @ X56 )
          | ( c3_1 @ X56 )
          | ~ ( c2_1 @ X56 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl361,zip_derived_cl616]) ).

thf('69',plain,
    ( ~ ! [X56: $i] :
          ( ( c0_1 @ X56 )
          | ( c3_1 @ X56 )
          | ~ ( c2_1 @ X56 ) )
    | ~ ( c2_1 @ a726 )
    | ( c0_1 @ a726 )
    | ( c3_1 @ a726 ) ),
    inference(split,[status(esa)],[zip_derived_cl1666]) ).

thf(zip_derived_cl614_028,plain,
    ( ( c1_1 @ a726 )
   <= ( c1_1 @ a726 ) ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf(zip_derived_cl394_029,plain,
    ( ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c2_1 @ X75 )
        | ~ ( c1_1 @ X75 ) )
   <= ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c2_1 @ X75 )
        | ~ ( c1_1 @ X75 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf(zip_derived_cl1604,plain,
    ( ( ( c0_1 @ a726 )
      | ( c2_1 @ a726 ) )
   <= ( ! [X75: $i] :
          ( ( c0_1 @ X75 )
          | ( c2_1 @ X75 )
          | ~ ( c1_1 @ X75 ) )
      & ( c1_1 @ a726 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl614,zip_derived_cl394]) ).

thf('70',plain,
    ( ( c2_1 @ a726 )
    | ( c0_1 @ a726 )
    | ~ ! [X75: $i] :
          ( ( c0_1 @ X75 )
          | ( c2_1 @ X75 )
          | ~ ( c1_1 @ X75 ) )
    | ~ ( c1_1 @ a726 ) ),
    inference(split,[status(esa)],[zip_derived_cl1604]) ).

thf(zip_derived_cl550_030,plain,
    ( ( c1_1 @ a760 )
   <= ( c1_1 @ a760 ) ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf(zip_derived_cl42,plain,
    ! [X54: $i,X55: $i] :
      ( ( c0_1 @ X54 )
      | ~ ( c1_1 @ X54 )
      | ~ ( c2_1 @ X54 )
      | ~ ndr1_0
      | ( c2_1 @ X55 )
      | ~ ( c0_1 @ X55 )
      | ~ ( c1_1 @ X55 )
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl357,plain,
    ( ! [X54: $i] :
        ( ( c0_1 @ X54 )
        | ~ ( c1_1 @ X54 )
        | ~ ( c2_1 @ X54 ) )
   <= ! [X54: $i] :
        ( ( c0_1 @ X54 )
        | ~ ( c1_1 @ X54 )
        | ~ ( c2_1 @ X54 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl1333,plain,
    ( ( ( c0_1 @ a760 )
      | ~ ( c2_1 @ a760 ) )
   <= ( ! [X54: $i] :
          ( ( c0_1 @ X54 )
          | ~ ( c1_1 @ X54 )
          | ~ ( c2_1 @ X54 ) )
      & ( c1_1 @ a760 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl550,zip_derived_cl357]) ).

thf('71',plain,
    ( ~ ( c2_1 @ a760 )
    | ( c0_1 @ a760 )
    | ~ ! [X54: $i] :
          ( ( c0_1 @ X54 )
          | ~ ( c1_1 @ X54 )
          | ~ ( c2_1 @ X54 ) )
    | ~ ( c1_1 @ a760 ) ),
    inference(split,[status(esa)],[zip_derived_cl1333]) ).

thf(zip_derived_cl638_031,plain,
    ( ( c1_1 @ a717 )
   <= ( c1_1 @ a717 ) ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl16,plain,
    ! [X10: $i] :
      ( ( c2_1 @ X10 )
      | ~ ( c1_1 @ X10 )
      | ~ ( c3_1 @ X10 )
      | ~ ndr1_0
      | hskp16
      | hskp20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl252,plain,
    ( ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c1_1 @ X10 )
        | ~ ( c3_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c1_1 @ X10 )
        | ~ ( c3_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl1148,plain,
    ( ( ( c2_1 @ a717 )
      | ~ ( c3_1 @ a717 ) )
   <= ( ! [X10: $i] :
          ( ( c2_1 @ X10 )
          | ~ ( c1_1 @ X10 )
          | ~ ( c3_1 @ X10 ) )
      & ( c1_1 @ a717 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl638,zip_derived_cl252]) ).

thf('72',plain,
    ( ~ ( c3_1 @ a717 )
    | ( c2_1 @ a717 )
    | ~ ! [X10: $i] :
          ( ( c2_1 @ X10 )
          | ~ ( c1_1 @ X10 )
          | ~ ( c3_1 @ X10 ) )
    | ~ ( c1_1 @ a717 ) ),
    inference(split,[status(esa)],[zip_derived_cl1148]) ).

thf(zip_derived_cl304_032,plain,
    ( ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ( c3_1 @ X30 )
        | ~ ( c0_1 @ X30 ) )
   <= ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ( c3_1 @ X30 )
        | ~ ( c0_1 @ X30 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl175,plain,
    ( ~ hskp5
    | ~ ( c1_1 @ a701 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl682,plain,
    ( ~ ( c1_1 @ a701 )
   <= ~ ( c1_1 @ a701 ) ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl1039,plain,
    ( ( ~ ( c0_1 @ a701 )
      | ( c3_1 @ a701 ) )
   <= ( ~ ( c1_1 @ a701 )
      & ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ( c3_1 @ X30 )
          | ~ ( c0_1 @ X30 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl304,zip_derived_cl682]) ).

thf('73',plain,
    ( ( c3_1 @ a701 )
    | ( c1_1 @ a701 )
    | ~ ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ( c3_1 @ X30 )
          | ~ ( c0_1 @ X30 ) )
    | ~ ( c0_1 @ a701 ) ),
    inference(split,[status(esa)],[zip_derived_cl1039]) ).

thf(zip_derived_cl502_033,plain,
    ( ( c0_1 @ a691 )
   <= ( c0_1 @ a691 ) ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf(zip_derived_cl232_034,plain,
    ( ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 )
        | ~ ( c3_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 )
        | ~ ( c3_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl969,plain,
    ( ( ~ ( c2_1 @ a691 )
      | ~ ( c3_1 @ a691 ) )
   <= ( ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c2_1 @ X4 )
          | ~ ( c3_1 @ X4 ) )
      & ( c0_1 @ a691 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl502,zip_derived_cl232]) ).

thf('74',plain,
    ( ~ ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c2_1 @ X4 )
          | ~ ( c3_1 @ X4 ) )
    | ~ ( c2_1 @ a691 )
    | ~ ( c3_1 @ a691 )
    | ~ ( c0_1 @ a691 ) ),
    inference(split,[status(esa)],[zip_derived_cl969]) ).

thf('75',plain,
    ( ( c0_1 @ a691 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf('76',plain,
    ( ( c1_1 @ a691 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf(zip_derived_cl87,plain,
    ( ~ hskp27
    | ( c3_1 @ a691 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('77',plain,
    ( ( c3_1 @ a691 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl69,plain,
    ! [X109: $i,X110: $i] :
      ( ( c0_1 @ X109 )
      | ( c1_1 @ X109 )
      | ~ ( c2_1 @ X109 )
      | ~ ndr1_0
      | ( c0_1 @ X110 )
      | ( c2_1 @ X110 )
      | ~ ( c1_1 @ X110 )
      | ~ ndr1_0
      | hskp27 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('78',plain,
    ( ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c2_1 @ X75 )
        | ~ ( c1_1 @ X75 ) )
    | hskp27
    | ~ ndr1_0
    | ! [X101: $i] :
        ( ( c0_1 @ X101 )
        | ( c1_1 @ X101 )
        | ~ ( c2_1 @ X101 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl69]) ).

thf(zip_derived_cl448_035,plain,
    ( ! [X101: $i] :
        ( ( c0_1 @ X101 )
        | ( c1_1 @ X101 )
        | ~ ( c2_1 @ X101 ) )
   <= ! [X101: $i] :
        ( ( c0_1 @ X101 )
        | ( c1_1 @ X101 )
        | ~ ( c2_1 @ X101 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl65]) ).

thf(zip_derived_cl357_036,plain,
    ( ! [X54: $i] :
        ( ( c0_1 @ X54 )
        | ~ ( c1_1 @ X54 )
        | ~ ( c2_1 @ X54 ) )
   <= ! [X54: $i] :
        ( ( c0_1 @ X54 )
        | ~ ( c1_1 @ X54 )
        | ~ ( c2_1 @ X54 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl1930,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ( c0_1 @ X0 )
        | ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X54: $i] :
          ( ( c0_1 @ X54 )
          | ~ ( c1_1 @ X54 )
          | ~ ( c2_1 @ X54 ) )
      & ! [X101: $i] :
          ( ( c0_1 @ X101 )
          | ( c1_1 @ X101 )
          | ~ ( c2_1 @ X101 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl448,zip_derived_cl357]) ).

thf(zip_derived_cl1961,plain,
    ( ! [X0: $i] :
        ( ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X54: $i] :
          ( ( c0_1 @ X54 )
          | ~ ( c1_1 @ X54 )
          | ~ ( c2_1 @ X54 ) )
      & ! [X101: $i] :
          ( ( c0_1 @ X101 )
          | ( c1_1 @ X101 )
          | ~ ( c2_1 @ X101 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1930]) ).

thf(zip_derived_cl288_037,plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c2_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c2_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl228_038,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl835,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c2_1 @ X23 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl288,zip_derived_cl228]) ).

thf(zip_derived_cl867,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c2_1 @ X23 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl835]) ).

thf(zip_derived_cl2708,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c2_1 @ X23 ) )
      & ! [X54: $i] :
          ( ( c0_1 @ X54 )
          | ~ ( c1_1 @ X54 )
          | ~ ( c2_1 @ X54 ) )
      & ! [X101: $i] :
          ( ( c0_1 @ X101 )
          | ( c1_1 @ X101 )
          | ~ ( c2_1 @ X101 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1961,zip_derived_cl867]) ).

thf(zip_derived_cl2748,plain,
    ( ! [X0: $i] :
        ~ ( c2_1 @ X0 )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c2_1 @ X23 ) )
      & ! [X54: $i] :
          ( ( c0_1 @ X54 )
          | ~ ( c1_1 @ X54 )
          | ~ ( c2_1 @ X54 ) )
      & ! [X101: $i] :
          ( ( c0_1 @ X101 )
          | ( c1_1 @ X101 )
          | ~ ( c2_1 @ X101 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2708]) ).

thf(zip_derived_cl113,plain,
    ( ~ hskp20
    | ( c2_1 @ a754 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl558,plain,
    ( ( c2_1 @ a754 )
   <= ( c2_1 @ a754 ) ),
    inference(split,[status(esa)],[zip_derived_cl113]) ).

thf('79',plain,
    ( ~ ! [X54: $i] :
          ( ( c0_1 @ X54 )
          | ~ ( c1_1 @ X54 )
          | ~ ( c2_1 @ X54 ) )
    | ~ ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c2_1 @ X23 ) )
    | ~ ( c2_1 @ a754 )
    | ~ ! [X101: $i] :
          ( ( c0_1 @ X101 )
          | ( c1_1 @ X101 )
          | ~ ( c2_1 @ X101 ) )
    | ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2748,zip_derived_cl558]) ).

thf(zip_derived_cl526_039,plain,
    ( ( c1_1 @ a764 )
   <= ( c1_1 @ a764 ) ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(zip_derived_cl273_040,plain,
    ( ! [X17: $i] :
        ( ( c2_1 @ X17 )
        | ( c3_1 @ X17 )
        | ~ ( c1_1 @ X17 ) )
   <= ! [X17: $i] :
        ( ( c2_1 @ X17 )
        | ( c3_1 @ X17 )
        | ~ ( c1_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl1008,plain,
    ( ( ( c2_1 @ a764 )
      | ( c3_1 @ a764 ) )
   <= ( ! [X17: $i] :
          ( ( c2_1 @ X17 )
          | ( c3_1 @ X17 )
          | ~ ( c1_1 @ X17 ) )
      & ( c1_1 @ a764 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl526,zip_derived_cl273]) ).

thf('80',plain,
    ( ( c2_1 @ a764 )
    | ( c3_1 @ a764 )
    | ~ ! [X17: $i] :
          ( ( c2_1 @ X17 )
          | ( c3_1 @ X17 )
          | ~ ( c1_1 @ X17 ) )
    | ~ ( c1_1 @ a764 ) ),
    inference(split,[status(esa)],[zip_derived_cl1008]) ).

thf(zip_derived_cl638_041,plain,
    ( ( c1_1 @ a717 )
   <= ( c1_1 @ a717 ) ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl20,plain,
    ! [X16: $i] :
      ( ( c2_1 @ X16 )
      | ~ ( c0_1 @ X16 )
      | ~ ( c1_1 @ X16 )
      | ~ ndr1_0
      | hskp5
      | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl268,plain,
    ( ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ~ ( c0_1 @ X16 )
        | ~ ( c1_1 @ X16 ) )
   <= ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ~ ( c0_1 @ X16 )
        | ~ ( c1_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl1149,plain,
    ( ( ( c2_1 @ a717 )
      | ~ ( c0_1 @ a717 ) )
   <= ( ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ~ ( c0_1 @ X16 )
          | ~ ( c1_1 @ X16 ) )
      & ( c1_1 @ a717 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl638,zip_derived_cl268]) ).

thf('81',plain,
    ( ~ ( c0_1 @ a717 )
    | ( c2_1 @ a717 )
    | ~ ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ~ ( c0_1 @ X16 )
          | ~ ( c1_1 @ X16 ) )
    | ~ ( c1_1 @ a717 ) ),
    inference(split,[status(esa)],[zip_derived_cl1149]) ).

thf(zip_derived_cl22,plain,
    ! [X19: $i,X20: $i] :
      ( ( c2_1 @ X19 )
      | ( c3_1 @ X19 )
      | ~ ( c1_1 @ X19 )
      | ~ ndr1_0
      | ( c3_1 @ X20 )
      | ~ ( c1_1 @ X20 )
      | ~ ( c2_1 @ X20 )
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('82',plain,
    ( hskp28
    | ! [X17: $i] :
        ( ( c2_1 @ X17 )
        | ( c3_1 @ X17 )
        | ~ ( c1_1 @ X17 ) )
    | ~ ndr1_0
    | ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl341_042,plain,
    ( ! [X45: $i] :
        ( ( c0_1 @ X45 )
        | ~ ( c2_1 @ X45 )
        | ~ ( c3_1 @ X45 ) )
   <= ! [X45: $i] :
        ( ( c0_1 @ X45 )
        | ~ ( c2_1 @ X45 )
        | ~ ( c3_1 @ X45 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl232_043,plain,
    ( ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 )
        | ~ ( c3_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 )
        | ~ ( c3_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl1372,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c2_1 @ X4 )
          | ~ ( c3_1 @ X4 ) )
      & ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ~ ( c2_1 @ X45 )
          | ~ ( c3_1 @ X45 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl341,zip_derived_cl232]) ).

thf(zip_derived_cl1422,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c2_1 @ X4 )
          | ~ ( c3_1 @ X4 ) )
      & ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ~ ( c2_1 @ X45 )
          | ~ ( c3_1 @ X45 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1372]) ).

thf(zip_derived_cl297_044,plain,
    ( ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ( c3_1 @ X26 )
        | ~ ( c2_1 @ X26 ) )
   <= ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ( c3_1 @ X26 )
        | ~ ( c2_1 @ X26 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl233_045,plain,
    ( ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl906,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ( c3_1 @ X0 )
        | ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ( c3_1 @ X26 )
          | ~ ( c2_1 @ X26 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl297,zip_derived_cl233]) ).

thf(zip_derived_cl937,plain,
    ( ! [X0: $i] :
        ( ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ( c3_1 @ X26 )
          | ~ ( c2_1 @ X26 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl906]) ).

thf(zip_derived_cl2604,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c2_1 @ X4 )
          | ~ ( c3_1 @ X4 ) )
      & ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ( c3_1 @ X26 )
          | ~ ( c2_1 @ X26 ) )
      & ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ~ ( c2_1 @ X45 )
          | ~ ( c3_1 @ X45 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1422,zip_derived_cl937]) ).

thf(zip_derived_cl2617,plain,
    ( ! [X0: $i] :
        ~ ( c2_1 @ X0 )
   <= ( ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c2_1 @ X4 )
          | ~ ( c3_1 @ X4 ) )
      & ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ( c3_1 @ X26 )
          | ~ ( c2_1 @ X26 ) )
      & ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ~ ( c2_1 @ X45 )
          | ~ ( c3_1 @ X45 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2604]) ).

thf(zip_derived_cl558_046,plain,
    ( ( c2_1 @ a754 )
   <= ( c2_1 @ a754 ) ),
    inference(split,[status(esa)],[zip_derived_cl113]) ).

thf('83',plain,
    ( ~ ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c2_1 @ X4 )
          | ~ ( c3_1 @ X4 ) )
    | ~ ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ( c3_1 @ X26 )
          | ~ ( c2_1 @ X26 ) )
    | ~ ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ~ ( c2_1 @ X45 )
          | ~ ( c3_1 @ X45 ) )
    | ~ ( c2_1 @ a754 )
    | ~ ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2617,zip_derived_cl558]) ).

thf(zip_derived_cl28,plain,
    ! [X28: $i,X29: $i] :
      ( ( c1_1 @ X28 )
      | ( c3_1 @ X28 )
      | ~ ( c2_1 @ X28 )
      | ~ ndr1_0
      | ( c2_1 @ X29 )
      | ( c3_1 @ X29 )
      | ~ ( c0_1 @ X29 )
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('84',plain,
    ( ! [X21: $i] :
        ( ( c2_1 @ X21 )
        | ( c3_1 @ X21 )
        | ~ ( c0_1 @ X21 ) )
    | ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ( c3_1 @ X26 )
        | ~ ( c2_1 @ X26 ) )
    | hskp28
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf('85',plain,
    ( hskp5
    | ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ~ ( c0_1 @ X16 )
        | ~ ( c1_1 @ X16 ) )
    | ~ ndr1_0
    | hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl49,plain,
    ! [X70: $i,X71: $i,X72: $i] :
      ( ( c0_1 @ X70 )
      | ( c2_1 @ X70 )
      | ~ ( c3_1 @ X70 )
      | ~ ndr1_0
      | ( c1_1 @ X71 )
      | ( c2_1 @ X71 )
      | ~ ( c3_1 @ X71 )
      | ~ ndr1_0
      | ( c1_1 @ X72 )
      | ( c3_1 @ X72 )
      | ~ ( c2_1 @ X72 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('86',plain,
    ( ! [X68: $i] :
        ( ( c0_1 @ X68 )
        | ( c2_1 @ X68 )
        | ~ ( c3_1 @ X68 ) )
    | ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ( c3_1 @ X26 )
        | ~ ( c2_1 @ X26 ) )
    | ~ ndr1_0
    | ! [X35: $i] :
        ( ( c1_1 @ X35 )
        | ( c2_1 @ X35 )
        | ~ ( c3_1 @ X35 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl98,plain,
    ( ~ hskp24
    | ~ ( c2_1 @ a764 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('87',plain,
    ( ~ ( c2_1 @ a764 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf(zip_derived_cl526_047,plain,
    ( ( c1_1 @ a764 )
   <= ( c1_1 @ a764 ) ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(zip_derived_cl268_048,plain,
    ( ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ~ ( c0_1 @ X16 )
        | ~ ( c1_1 @ X16 ) )
   <= ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ~ ( c0_1 @ X16 )
        | ~ ( c1_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl1007,plain,
    ( ( ( c2_1 @ a764 )
      | ~ ( c0_1 @ a764 ) )
   <= ( ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ~ ( c0_1 @ X16 )
          | ~ ( c1_1 @ X16 ) )
      & ( c1_1 @ a764 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl526,zip_derived_cl268]) ).

thf('88',plain,
    ( ~ ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ~ ( c0_1 @ X16 )
          | ~ ( c1_1 @ X16 ) )
    | ~ ( c0_1 @ a764 )
    | ( c2_1 @ a764 )
    | ~ ( c1_1 @ a764 ) ),
    inference(split,[status(esa)],[zip_derived_cl1007]) ).

thf(zip_derived_cl320_049,plain,
    ( ! [X35: $i] :
        ( ( c1_1 @ X35 )
        | ( c2_1 @ X35 )
        | ~ ( c3_1 @ X35 ) )
   <= ! [X35: $i] :
        ( ( c1_1 @ X35 )
        | ( c2_1 @ X35 )
        | ~ ( c3_1 @ X35 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl134,plain,
    ( ~ hskp15
    | ~ ( c1_1 @ a734 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl600,plain,
    ( ~ ( c1_1 @ a734 )
   <= ~ ( c1_1 @ a734 ) ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl1227,plain,
    ( ( ~ ( c3_1 @ a734 )
      | ( c2_1 @ a734 ) )
   <= ( ~ ( c1_1 @ a734 )
      & ! [X35: $i] :
          ( ( c1_1 @ X35 )
          | ( c2_1 @ X35 )
          | ~ ( c3_1 @ X35 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl320,zip_derived_cl600]) ).

thf('89',plain,
    ( ( c1_1 @ a734 )
    | ( c2_1 @ a734 )
    | ~ ! [X35: $i] :
          ( ( c1_1 @ X35 )
          | ( c2_1 @ X35 )
          | ~ ( c3_1 @ X35 ) )
    | ~ ( c3_1 @ a734 ) ),
    inference(split,[status(esa)],[zip_derived_cl1227]) ).

thf(zip_derived_cl526_050,plain,
    ( ( c1_1 @ a764 )
   <= ( c1_1 @ a764 ) ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(zip_derived_cl378_051,plain,
    ( ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ( c3_1 @ X65 )
        | ~ ( c1_1 @ X65 ) )
   <= ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ( c3_1 @ X65 )
        | ~ ( c1_1 @ X65 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(zip_derived_cl1516,plain,
    ( ( ( c0_1 @ a764 )
      | ( c3_1 @ a764 ) )
   <= ( ! [X65: $i] :
          ( ( c0_1 @ X65 )
          | ( c3_1 @ X65 )
          | ~ ( c1_1 @ X65 ) )
      & ( c1_1 @ a764 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl526,zip_derived_cl378]) ).

thf('90',plain,
    ( ( c0_1 @ a764 )
    | ( c3_1 @ a764 )
    | ~ ! [X65: $i] :
          ( ( c0_1 @ X65 )
          | ( c3_1 @ X65 )
          | ~ ( c1_1 @ X65 ) )
    | ~ ( c1_1 @ a764 ) ),
    inference(split,[status(esa)],[zip_derived_cl1516]) ).

thf('91',plain,
    ( ( c1_1 @ a764 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(zip_derived_cl99,plain,
    ( ~ hskp24
    | ~ ( c3_1 @ a764 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('92',plain,
    ( ~ ( c3_1 @ a764 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl496_052,plain,
    ( ( c1_1 @ a695 )
   <= ( c1_1 @ a695 ) ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl14,plain,
    ! [X8: $i] :
      ( ( c3_1 @ X8 )
      | ~ ( c0_1 @ X8 )
      | ~ ( c1_1 @ X8 )
      | ~ ndr1_0
      | hskp16
      | hskp15 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl244,plain,
    ( ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c1_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c1_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl955,plain,
    ( ( ( c3_1 @ a695 )
      | ~ ( c0_1 @ a695 ) )
   <= ( ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c1_1 @ X8 ) )
      & ( c1_1 @ a695 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl496,zip_derived_cl244]) ).

thf('93',plain,
    ( ( c3_1 @ a695 )
    | ~ ( c0_1 @ a695 )
    | ~ ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c1_1 @ X8 ) )
    | ~ ( c1_1 @ a695 ) ),
    inference(split,[status(esa)],[zip_derived_cl955]) ).

thf('94',plain,
    ( hskp24
    | ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) )
    | hskp23
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl496_053,plain,
    ( ( c1_1 @ a695 )
   <= ( c1_1 @ a695 ) ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl228_054,plain,
    ( ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ~ ( c0_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl952,plain,
    ( ( ~ ( c0_1 @ a695 )
      | ~ ( c2_1 @ a695 ) )
   <= ( ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ( c1_1 @ a695 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl496,zip_derived_cl228]) ).

thf('95',plain,
    ( ~ ! [X2: $i] :
          ( ~ ( c0_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
    | ~ ( c0_1 @ a695 )
    | ~ ( c1_1 @ a695 )
    | ~ ( c2_1 @ a695 ) ),
    inference(split,[status(esa)],[zip_derived_cl952]) ).

thf(zip_derived_cl297_055,plain,
    ( ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ( c3_1 @ X26 )
        | ~ ( c2_1 @ X26 ) )
   <= ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ( c3_1 @ X26 )
        | ~ ( c2_1 @ X26 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl712_056,plain,
    ( ~ ( c1_1 @ a693 )
   <= ~ ( c1_1 @ a693 ) ),
    inference(split,[status(esa)],[zip_derived_cl190]) ).

thf(zip_derived_cl913,plain,
    ( ( ~ ( c2_1 @ a693 )
      | ( c3_1 @ a693 ) )
   <= ( ~ ( c1_1 @ a693 )
      & ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ( c3_1 @ X26 )
          | ~ ( c2_1 @ X26 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl297,zip_derived_cl712]) ).

thf('96',plain,
    ( ( c1_1 @ a693 )
    | ( c3_1 @ a693 )
    | ~ ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ( c3_1 @ X26 )
          | ~ ( c2_1 @ X26 ) )
    | ~ ( c2_1 @ a693 ) ),
    inference(split,[status(esa)],[zip_derived_cl913]) ).

thf(zip_derived_cl6,plain,
    ( hskp28
    | hskp25
    | hskp22 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('97',plain,
    ( hskp25
    | hskp28
    | hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf('98',plain,
    ( hskp22
    | hskp21
    | ~ ndr1_0
    | ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c2_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl542_057,plain,
    ( ( c1_1 @ a761 )
   <= ( c1_1 @ a761 ) ),
    inference(split,[status(esa)],[zip_derived_cl105]) ).

thf(zip_derived_cl252_058,plain,
    ( ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c1_1 @ X10 )
        | ~ ( c3_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c1_1 @ X10 )
        | ~ ( c3_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl1018,plain,
    ( ( ( c2_1 @ a761 )
      | ~ ( c3_1 @ a761 ) )
   <= ( ! [X10: $i] :
          ( ( c2_1 @ X10 )
          | ~ ( c1_1 @ X10 )
          | ~ ( c3_1 @ X10 ) )
      & ( c1_1 @ a761 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl542,zip_derived_cl252]) ).

thf('99',plain,
    ( ~ ( c3_1 @ a761 )
    | ( c2_1 @ a761 )
    | ~ ! [X10: $i] :
          ( ( c2_1 @ X10 )
          | ~ ( c1_1 @ X10 )
          | ~ ( c3_1 @ X10 ) )
    | ~ ( c1_1 @ a761 ) ),
    inference(split,[status(esa)],[zip_derived_cl1018]) ).

thf('100',plain,
    ( ( c1_1 @ a761 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl105]) ).

thf(zip_derived_cl106,plain,
    ( ~ hskp22
    | ~ ( c0_1 @ a761 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('101',plain,
    ( ~ ( c0_1 @ a761 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(zip_derived_cl107,plain,
    ( ~ hskp22
    | ~ ( c2_1 @ a761 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('102',plain,
    ( ~ ( c2_1 @ a761 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl107]) ).

thf(zip_derived_cl542_059,plain,
    ( ( c1_1 @ a761 )
   <= ( c1_1 @ a761 ) ),
    inference(split,[status(esa)],[zip_derived_cl105]) ).

thf(zip_derived_cl378_060,plain,
    ( ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ( c3_1 @ X65 )
        | ~ ( c1_1 @ X65 ) )
   <= ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ( c3_1 @ X65 )
        | ~ ( c1_1 @ X65 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(zip_derived_cl1515,plain,
    ( ( ( c0_1 @ a761 )
      | ( c3_1 @ a761 ) )
   <= ( ! [X65: $i] :
          ( ( c0_1 @ X65 )
          | ( c3_1 @ X65 )
          | ~ ( c1_1 @ X65 ) )
      & ( c1_1 @ a761 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl542,zip_derived_cl378]) ).

thf('103',plain,
    ( ( c3_1 @ a761 )
    | ~ ( c1_1 @ a761 )
    | ~ ! [X65: $i] :
          ( ( c0_1 @ X65 )
          | ( c3_1 @ X65 )
          | ~ ( c1_1 @ X65 ) )
    | ( c0_1 @ a761 ) ),
    inference(split,[status(esa)],[zip_derived_cl1515]) ).

thf(zip_derived_cl117,plain,
    ( ~ hskp19
    | ( c0_1 @ a752 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('104',plain,
    ( ( c0_1 @ a752 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl117]) ).

thf(zip_derived_cl118,plain,
    ( ~ hskp19
    | ~ ( c2_1 @ a752 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('105',plain,
    ( ~ hskp19
    | ~ ( c2_1 @ a752 ) ),
    inference(split,[status(esa)],[zip_derived_cl118]) ).

thf(zip_derived_cl119,plain,
    ( ~ hskp19
    | ~ ( c3_1 @ a752 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('106',plain,
    ( ~ hskp19
    | ~ ( c3_1 @ a752 ) ),
    inference(split,[status(esa)],[zip_derived_cl119]) ).

thf(zip_derived_cl17,plain,
    ! [X11: $i] :
      ( ( c2_1 @ X11 )
      | ~ ( c1_1 @ X11 )
      | ~ ( c3_1 @ X11 )
      | ~ ndr1_0
      | hskp18
      | hskp19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('107',plain,
    ( hskp19
    | hskp18
    | ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c1_1 @ X10 )
        | ~ ( c3_1 @ X10 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl566,plain,
    ( ( c0_1 @ a752 )
   <= ( c0_1 @ a752 ) ),
    inference(split,[status(esa)],[zip_derived_cl117]) ).

thf(zip_derived_cl280_061,plain,
    ( ! [X21: $i] :
        ( ( c2_1 @ X21 )
        | ( c3_1 @ X21 )
        | ~ ( c0_1 @ X21 ) )
   <= ! [X21: $i] :
        ( ( c2_1 @ X21 )
        | ( c3_1 @ X21 )
        | ~ ( c0_1 @ X21 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl1080,plain,
    ( ( ( c2_1 @ a752 )
      | ( c3_1 @ a752 ) )
   <= ( ! [X21: $i] :
          ( ( c2_1 @ X21 )
          | ( c3_1 @ X21 )
          | ~ ( c0_1 @ X21 ) )
      & ( c0_1 @ a752 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl566,zip_derived_cl280]) ).

thf('108',plain,
    ( ( c2_1 @ a752 )
    | ( c3_1 @ a752 )
    | ~ ! [X21: $i] :
          ( ( c2_1 @ X21 )
          | ( c3_1 @ X21 )
          | ~ ( c0_1 @ X21 ) )
    | ~ ( c0_1 @ a752 ) ),
    inference(split,[status(esa)],[zip_derived_cl1080]) ).

thf('109',plain,
    ( ( c1_1 @ a695 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl496_062,plain,
    ( ( c1_1 @ a695 )
   <= ( c1_1 @ a695 ) ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl240_063,plain,
    ( ! [X7: $i] :
        ( ~ ( c1_1 @ X7 )
        | ~ ( c2_1 @ X7 )
        | ~ ( c3_1 @ X7 ) )
   <= ! [X7: $i] :
        ( ~ ( c1_1 @ X7 )
        | ~ ( c2_1 @ X7 )
        | ~ ( c3_1 @ X7 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl954,plain,
    ( ( ~ ( c2_1 @ a695 )
      | ~ ( c3_1 @ a695 ) )
   <= ( ! [X7: $i] :
          ( ~ ( c1_1 @ X7 )
          | ~ ( c2_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
      & ( c1_1 @ a695 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl496,zip_derived_cl240]) ).

thf('110',plain,
    ( ~ ! [X7: $i] :
          ( ~ ( c1_1 @ X7 )
          | ~ ( c2_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
    | ~ ( c3_1 @ a695 )
    | ~ ( c1_1 @ a695 )
    | ~ ( c2_1 @ a695 ) ),
    inference(split,[status(esa)],[zip_derived_cl954]) ).

thf('111',plain,
    ( ( c0_1 @ a695 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf(zip_derived_cl83,plain,
    ( ~ hskp28
    | ( c2_1 @ a695 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('112',plain,
    ( ( c2_1 @ a695 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl494_064,plain,
    ( ( c0_1 @ a695 )
   <= ( c0_1 @ a695 ) ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf(zip_derived_cl236_065,plain,
    ( ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c2_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c3_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c2_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl948,plain,
    ( ( ( c3_1 @ a695 )
      | ~ ( c2_1 @ a695 ) )
   <= ( ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
      & ( c0_1 @ a695 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl494,zip_derived_cl236]) ).

thf('113',plain,
    ( ( c3_1 @ a695 )
    | ~ ! [X5: $i] :
          ( ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c2_1 @ X5 ) )
    | ~ ( c2_1 @ a695 )
    | ~ ( c0_1 @ a695 ) ),
    inference(split,[status(esa)],[zip_derived_cl948]) ).

thf(zip_derived_cl94,plain,
    ( ~ hskp25
    | ( c2_1 @ a773 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('114',plain,
    ( ( c2_1 @ a773 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf(zip_derived_cl93,plain,
    ( ~ hskp25
    | ( c1_1 @ a773 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl518,plain,
    ( ( c1_1 @ a773 )
   <= ( c1_1 @ a773 ) ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf(zip_derived_cl240_066,plain,
    ( ! [X7: $i] :
        ( ~ ( c1_1 @ X7 )
        | ~ ( c2_1 @ X7 )
        | ~ ( c3_1 @ X7 ) )
   <= ! [X7: $i] :
        ( ~ ( c1_1 @ X7 )
        | ~ ( c2_1 @ X7 )
        | ~ ( c3_1 @ X7 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl996,plain,
    ( ( ~ ( c2_1 @ a773 )
      | ~ ( c3_1 @ a773 ) )
   <= ( ! [X7: $i] :
          ( ~ ( c1_1 @ X7 )
          | ~ ( c2_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
      & ( c1_1 @ a773 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl518,zip_derived_cl240]) ).

thf('115',plain,
    ( ~ ( c2_1 @ a773 )
    | ~ ( c3_1 @ a773 )
    | ~ ! [X7: $i] :
          ( ~ ( c1_1 @ X7 )
          | ~ ( c2_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
    | ~ ( c1_1 @ a773 ) ),
    inference(split,[status(esa)],[zip_derived_cl996]) ).

thf('116',plain,
    ( ( c1_1 @ a773 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf(zip_derived_cl95,plain,
    ( ~ hskp25
    | ~ ( c0_1 @ a773 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('117',plain,
    ( ~ hskp25
    | ~ ( c0_1 @ a773 ) ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl518_067,plain,
    ( ( c1_1 @ a773 )
   <= ( c1_1 @ a773 ) ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf(zip_derived_cl378_068,plain,
    ( ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ( c3_1 @ X65 )
        | ~ ( c1_1 @ X65 ) )
   <= ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ( c3_1 @ X65 )
        | ~ ( c1_1 @ X65 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(zip_derived_cl1517,plain,
    ( ( ( c0_1 @ a773 )
      | ( c3_1 @ a773 ) )
   <= ( ! [X65: $i] :
          ( ( c0_1 @ X65 )
          | ( c3_1 @ X65 )
          | ~ ( c1_1 @ X65 ) )
      & ( c1_1 @ a773 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl518,zip_derived_cl378]) ).

thf('118',plain,
    ( ( c3_1 @ a773 )
    | ~ ( c1_1 @ a773 )
    | ~ ! [X65: $i] :
          ( ( c0_1 @ X65 )
          | ( c3_1 @ X65 )
          | ~ ( c1_1 @ X65 ) )
    | ( c0_1 @ a773 ) ),
    inference(split,[status(esa)],[zip_derived_cl1517]) ).

thf('119',plain,
    ( ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ( c3_1 @ X65 )
        | ~ ( c1_1 @ X65 ) )
    | ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ~ ( c0_1 @ X14 )
        | ~ ( c3_1 @ X14 ) )
    | ~ ndr1_0
    | ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ( c3_1 @ X56 )
        | ~ ( c2_1 @ X56 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(zip_derived_cl614_069,plain,
    ( ( c1_1 @ a726 )
   <= ( c1_1 @ a726 ) ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf(zip_derived_cl357_070,plain,
    ( ! [X54: $i] :
        ( ( c0_1 @ X54 )
        | ~ ( c1_1 @ X54 )
        | ~ ( c2_1 @ X54 ) )
   <= ! [X54: $i] :
        ( ( c0_1 @ X54 )
        | ~ ( c1_1 @ X54 )
        | ~ ( c2_1 @ X54 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl1331,plain,
    ( ( ( c0_1 @ a726 )
      | ~ ( c2_1 @ a726 ) )
   <= ( ! [X54: $i] :
          ( ( c0_1 @ X54 )
          | ~ ( c1_1 @ X54 )
          | ~ ( c2_1 @ X54 ) )
      & ( c1_1 @ a726 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl614,zip_derived_cl357]) ).

thf('120',plain,
    ( ~ ! [X54: $i] :
          ( ( c0_1 @ X54 )
          | ~ ( c1_1 @ X54 )
          | ~ ( c2_1 @ X54 ) )
    | ~ ( c2_1 @ a726 )
    | ~ ( c1_1 @ a726 )
    | ( c0_1 @ a726 ) ),
    inference(split,[status(esa)],[zip_derived_cl1331]) ).

thf(zip_derived_cl638_071,plain,
    ( ( c1_1 @ a717 )
   <= ( c1_1 @ a717 ) ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl394_072,plain,
    ( ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c2_1 @ X75 )
        | ~ ( c1_1 @ X75 ) )
   <= ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c2_1 @ X75 )
        | ~ ( c1_1 @ X75 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf(zip_derived_cl1603,plain,
    ( ( ( c0_1 @ a717 )
      | ( c2_1 @ a717 ) )
   <= ( ! [X75: $i] :
          ( ( c0_1 @ X75 )
          | ( c2_1 @ X75 )
          | ~ ( c1_1 @ X75 ) )
      & ( c1_1 @ a717 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl638,zip_derived_cl394]) ).

thf('121',plain,
    ( ( c0_1 @ a717 )
    | ( c2_1 @ a717 )
    | ~ ! [X75: $i] :
          ( ( c0_1 @ X75 )
          | ( c2_1 @ X75 )
          | ~ ( c1_1 @ X75 ) )
    | ~ ( c1_1 @ a717 ) ),
    inference(split,[status(esa)],[zip_derived_cl1603]) ).

thf(zip_derived_cl638_073,plain,
    ( ( c1_1 @ a717 )
   <= ( c1_1 @ a717 ) ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl353_074,plain,
    ( ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ~ ( c1_1 @ X52 )
        | ~ ( c3_1 @ X52 ) )
   <= ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ~ ( c1_1 @ X52 )
        | ~ ( c3_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl1290,plain,
    ( ( ( c0_1 @ a717 )
      | ~ ( c3_1 @ a717 ) )
   <= ( ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ~ ( c1_1 @ X52 )
          | ~ ( c3_1 @ X52 ) )
      & ( c1_1 @ a717 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl638,zip_derived_cl353]) ).

thf(zip_derived_cl4053,plain,
    ( ( c0_1 @ a717 )
   <= ( c0_1 @ a717 ) ),
    inference(split,[status(esa)],[zip_derived_cl1290]) ).

thf(zip_derived_cl265_075,plain,
    ( ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ~ ( c0_1 @ X14 )
        | ~ ( c3_1 @ X14 ) )
   <= ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ~ ( c0_1 @ X14 )
        | ~ ( c3_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl4076,plain,
    ( ( ( c2_1 @ a717 )
      | ~ ( c3_1 @ a717 ) )
   <= ( ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ~ ( c0_1 @ X14 )
          | ~ ( c3_1 @ X14 ) )
      & ( c0_1 @ a717 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4053,zip_derived_cl265]) ).

thf('122',plain,
    ( ~ ( c0_1 @ a717 )
    | ( c2_1 @ a717 )
    | ~ ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ~ ( c0_1 @ X14 )
          | ~ ( c3_1 @ X14 ) )
    | ~ ( c3_1 @ a717 ) ),
    inference(split,[status(esa)],[zip_derived_cl4076]) ).

thf('123',plain,
    ( ( c1_1 @ a717 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl154,plain,
    ( ~ hskp10
    | ( c3_1 @ a717 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('124',plain,
    ( ( c3_1 @ a717 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl155,plain,
    ( ~ hskp10
    | ~ ( c2_1 @ a717 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('125',plain,
    ( ~ ( c2_1 @ a717 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf(zip_derived_cl44,plain,
    ! [X58: $i,X59: $i] :
      ( ( c0_1 @ X58 )
      | ( c3_1 @ X58 )
      | ~ ( c2_1 @ X58 )
      | ~ ndr1_0
      | ( c2_1 @ X59 )
      | ( c3_1 @ X59 )
      | ~ ( c1_1 @ X59 )
      | ~ ndr1_0
      | hskp6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('126',plain,
    ( hskp6
    | ! [X17: $i] :
        ( ( c2_1 @ X17 )
        | ( c3_1 @ X17 )
        | ~ ( c1_1 @ X17 ) )
    | ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ( c3_1 @ X56 )
        | ~ ( c2_1 @ X56 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl44]) ).

thf(zip_derived_cl46,plain,
    ! [X63: $i,X64: $i] :
      ( ( c0_1 @ X63 )
      | ( c3_1 @ X63 )
      | ~ ( c2_1 @ X63 )
      | ~ ndr1_0
      | ( c0_1 @ X64 )
      | ~ ( c1_1 @ X64 )
      | ~ ( c3_1 @ X64 )
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('127',plain,
    ( ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ~ ( c1_1 @ X52 )
        | ~ ( c3_1 @ X52 ) )
    | hskp10
    | ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ( c3_1 @ X56 )
        | ~ ( c2_1 @ X56 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf('128',plain,
    ( hskp20
    | ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c1_1 @ X10 )
        | ~ ( c3_1 @ X10 ) )
    | hskp16
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl550_076,plain,
    ( ( c1_1 @ a760 )
   <= ( c1_1 @ a760 ) ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf(zip_derived_cl252_077,plain,
    ( ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c1_1 @ X10 )
        | ~ ( c3_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c1_1 @ X10 )
        | ~ ( c3_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl1074,plain,
    ( ( ( c2_1 @ a760 )
      | ~ ( c3_1 @ a760 ) )
   <= ( ! [X10: $i] :
          ( ( c2_1 @ X10 )
          | ~ ( c1_1 @ X10 )
          | ~ ( c3_1 @ X10 ) )
      & ( c1_1 @ a760 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl550,zip_derived_cl252]) ).

thf('129',plain,
    ( ( c2_1 @ a760 )
    | ~ ( c1_1 @ a760 )
    | ~ ! [X10: $i] :
          ( ( c2_1 @ X10 )
          | ~ ( c1_1 @ X10 )
          | ~ ( c3_1 @ X10 ) )
    | ~ ( c3_1 @ a760 ) ),
    inference(split,[status(esa)],[zip_derived_cl1074]) ).

thf(zip_derived_cl550_078,plain,
    ( ( c1_1 @ a760 )
   <= ( c1_1 @ a760 ) ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf(zip_derived_cl353_079,plain,
    ( ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ~ ( c1_1 @ X52 )
        | ~ ( c3_1 @ X52 ) )
   <= ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ~ ( c1_1 @ X52 )
        | ~ ( c3_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl1293,plain,
    ( ( ( c0_1 @ a760 )
      | ~ ( c3_1 @ a760 ) )
   <= ( ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ~ ( c1_1 @ X52 )
          | ~ ( c3_1 @ X52 ) )
      & ( c1_1 @ a760 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl550,zip_derived_cl353]) ).

thf('130',plain,
    ( ~ ( c1_1 @ a760 )
    | ( c0_1 @ a760 )
    | ~ ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ~ ( c1_1 @ X52 )
          | ~ ( c3_1 @ X52 ) )
    | ~ ( c3_1 @ a760 ) ),
    inference(split,[status(esa)],[zip_derived_cl1293]) ).

thf('131',plain,
    ( ( c1_1 @ a726 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf('132',plain,
    ( ~ ( c0_1 @ a726 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf(zip_derived_cl143,plain,
    ( ~ hskp13
    | ~ ( c3_1 @ a726 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('133',plain,
    ( ~ ( c3_1 @ a726 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf('134',plain,
    ( ( c1_1 @ a760 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf(zip_derived_cl333_080,plain,
    ( ! [X41: $i] :
        ( ( c1_1 @ X41 )
        | ( c2_1 @ X41 )
        | ~ ( c0_1 @ X41 ) )
   <= ! [X41: $i] :
        ( ( c1_1 @ X41 )
        | ( c2_1 @ X41 )
        | ~ ( c0_1 @ X41 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl122,plain,
    ( ~ hskp18
    | ~ ( c1_1 @ a751 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl576,plain,
    ( ~ ( c1_1 @ a751 )
   <= ~ ( c1_1 @ a751 ) ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl1472,plain,
    ( ( ~ ( c0_1 @ a751 )
      | ( c2_1 @ a751 ) )
   <= ( ~ ( c1_1 @ a751 )
      & ! [X41: $i] :
          ( ( c1_1 @ X41 )
          | ( c2_1 @ X41 )
          | ~ ( c0_1 @ X41 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl333,zip_derived_cl576]) ).

thf('135',plain,
    ( ( c2_1 @ a751 )
    | ( c1_1 @ a751 )
    | ~ ! [X41: $i] :
          ( ( c1_1 @ X41 )
          | ( c2_1 @ X41 )
          | ~ ( c0_1 @ X41 ) )
    | ~ ( c0_1 @ a751 ) ),
    inference(split,[status(esa)],[zip_derived_cl1472]) ).

thf(zip_derived_cl50,plain,
    ! [X73: $i,X74: $i] :
      ( ( c0_1 @ X73 )
      | ( c2_1 @ X73 )
      | ~ ( c3_1 @ X73 )
      | ~ ndr1_0
      | ( c1_1 @ X74 )
      | ( c2_1 @ X74 )
      | ~ ( c0_1 @ X74 )
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('136',plain,
    ( ! [X68: $i] :
        ( ( c0_1 @ X68 )
        | ( c2_1 @ X68 )
        | ~ ( c3_1 @ X68 ) )
    | hskp5
    | ~ ndr1_0
    | ! [X41: $i] :
        ( ( c1_1 @ X41 )
        | ( c2_1 @ X41 )
        | ~ ( c0_1 @ X41 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf('137',plain,
    ( ( c1_1 @ a733 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl73]) ).

thf(zip_derived_cl478_081,plain,
    ( ( c1_1 @ a733 )
   <= ( c1_1 @ a733 ) ),
    inference(split,[status(esa)],[zip_derived_cl73]) ).

thf(zip_derived_cl240_082,plain,
    ( ! [X7: $i] :
        ( ~ ( c1_1 @ X7 )
        | ~ ( c2_1 @ X7 )
        | ~ ( c3_1 @ X7 ) )
   <= ! [X7: $i] :
        ( ~ ( c1_1 @ X7 )
        | ~ ( c2_1 @ X7 )
        | ~ ( c3_1 @ X7 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl891,plain,
    ( ( ~ ( c2_1 @ a733 )
      | ~ ( c3_1 @ a733 ) )
   <= ( ! [X7: $i] :
          ( ~ ( c1_1 @ X7 )
          | ~ ( c2_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
      & ( c1_1 @ a733 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl478,zip_derived_cl240]) ).

thf('138',plain,
    ( ~ ! [X7: $i] :
          ( ~ ( c1_1 @ X7 )
          | ~ ( c2_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
    | ~ ( c1_1 @ a733 )
    | ~ ( c3_1 @ a733 )
    | ~ ( c2_1 @ a733 ) ),
    inference(split,[status(esa)],[zip_derived_cl891]) ).

thf(zip_derived_cl121,plain,
    ( ~ hskp18
    | ( c0_1 @ a751 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl574,plain,
    ( ( c0_1 @ a751 )
   <= ( c0_1 @ a751 ) ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl280_083,plain,
    ( ! [X21: $i] :
        ( ( c2_1 @ X21 )
        | ( c3_1 @ X21 )
        | ~ ( c0_1 @ X21 ) )
   <= ! [X21: $i] :
        ( ( c2_1 @ X21 )
        | ( c3_1 @ X21 )
        | ~ ( c0_1 @ X21 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl1084,plain,
    ( ( ( c2_1 @ a751 )
      | ( c3_1 @ a751 ) )
   <= ( ! [X21: $i] :
          ( ( c2_1 @ X21 )
          | ( c3_1 @ X21 )
          | ~ ( c0_1 @ X21 ) )
      & ( c0_1 @ a751 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl574,zip_derived_cl280]) ).

thf('139',plain,
    ( ( c2_1 @ a751 )
    | ( c3_1 @ a751 )
    | ~ ! [X21: $i] :
          ( ( c2_1 @ X21 )
          | ( c3_1 @ X21 )
          | ~ ( c0_1 @ X21 ) )
    | ~ ( c0_1 @ a751 ) ),
    inference(split,[status(esa)],[zip_derived_cl1084]) ).

thf(zip_derived_cl288_084,plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c2_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c2_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl576_085,plain,
    ( ~ ( c1_1 @ a751 )
   <= ~ ( c1_1 @ a751 ) ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl851,plain,
    ( ( ~ ( c2_1 @ a751 )
      | ~ ( c0_1 @ a751 ) )
   <= ( ~ ( c1_1 @ a751 )
      & ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c2_1 @ X23 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl288,zip_derived_cl576]) ).

thf('140',plain,
    ( ~ ( c0_1 @ a751 )
    | ( c1_1 @ a751 )
    | ~ ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c2_1 @ X23 ) )
    | ~ ( c2_1 @ a751 ) ),
    inference(split,[status(esa)],[zip_derived_cl851]) ).

thf(zip_derived_cl333_086,plain,
    ( ! [X41: $i] :
        ( ( c1_1 @ X41 )
        | ( c2_1 @ X41 )
        | ~ ( c0_1 @ X41 ) )
   <= ! [X41: $i] :
        ( ( c1_1 @ X41 )
        | ( c2_1 @ X41 )
        | ~ ( c0_1 @ X41 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl600_087,plain,
    ( ~ ( c1_1 @ a734 )
   <= ~ ( c1_1 @ a734 ) ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl1469,plain,
    ( ( ~ ( c0_1 @ a734 )
      | ( c2_1 @ a734 ) )
   <= ( ~ ( c1_1 @ a734 )
      & ! [X41: $i] :
          ( ( c1_1 @ X41 )
          | ( c2_1 @ X41 )
          | ~ ( c0_1 @ X41 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl333,zip_derived_cl600]) ).

thf('141',plain,
    ( ( c1_1 @ a734 )
    | ~ ( c0_1 @ a734 )
    | ~ ! [X41: $i] :
          ( ( c1_1 @ X41 )
          | ( c2_1 @ X41 )
          | ~ ( c0_1 @ X41 ) )
    | ( c2_1 @ a734 ) ),
    inference(split,[status(esa)],[zip_derived_cl1469]) ).

thf(zip_derived_cl381_088,plain,
    ( ! [X68: $i] :
        ( ( c0_1 @ X68 )
        | ( c2_1 @ X68 )
        | ~ ( c3_1 @ X68 ) )
   <= ! [X68: $i] :
        ( ( c0_1 @ X68 )
        | ( c2_1 @ X68 )
        | ~ ( c3_1 @ X68 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl288_089,plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c2_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c2_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl600_090,plain,
    ( ~ ( c1_1 @ a734 )
   <= ~ ( c1_1 @ a734 ) ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl848,plain,
    ( ( ~ ( c2_1 @ a734 )
      | ~ ( c0_1 @ a734 ) )
   <= ( ~ ( c1_1 @ a734 )
      & ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c2_1 @ X23 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl288,zip_derived_cl600]) ).

thf(zip_derived_cl1025,plain,
    ( ~ ( c0_1 @ a734 )
   <= ~ ( c0_1 @ a734 ) ),
    inference(split,[status(esa)],[zip_derived_cl848]) ).

thf(zip_derived_cl1746,plain,
    ( ( ~ ( c3_1 @ a734 )
      | ( c2_1 @ a734 ) )
   <= ( ~ ( c0_1 @ a734 )
      & ! [X68: $i] :
          ( ( c0_1 @ X68 )
          | ( c2_1 @ X68 )
          | ~ ( c3_1 @ X68 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl381,zip_derived_cl1025]) ).

thf('142',plain,
    ( ( c0_1 @ a734 )
    | ( c2_1 @ a734 )
    | ~ ! [X68: $i] :
          ( ( c0_1 @ X68 )
          | ( c2_1 @ X68 )
          | ~ ( c3_1 @ X68 ) )
    | ~ ( c3_1 @ a734 ) ),
    inference(split,[status(esa)],[zip_derived_cl1746]) ).

thf(zip_derived_cl133,plain,
    ( ~ hskp15
    | ( c3_1 @ a734 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('143',plain,
    ( ( c3_1 @ a734 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf('144',plain,
    ( ~ hskp15
    | ~ ( c1_1 @ a734 ) ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl135,plain,
    ( ~ hskp15
    | ~ ( c2_1 @ a734 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('145',plain,
    ( ~ hskp15
    | ~ ( c2_1 @ a734 ) ),
    inference(split,[status(esa)],[zip_derived_cl135]) ).

thf('146',plain,
    ( hskp16
    | hskp15
    | ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c1_1 @ X8 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl30,plain,
    ! [X31: $i] :
      ( ( c1_1 @ X31 )
      | ( c3_1 @ X31 )
      | ~ ( c0_1 @ X31 )
      | ~ ndr1_0
      | hskp14
      | hskp30 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('147',plain,
    ( ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ( c3_1 @ X30 )
        | ~ ( c0_1 @ X30 ) )
    | hskp30
    | hskp14
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl304_091,plain,
    ( ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ( c3_1 @ X30 )
        | ~ ( c0_1 @ X30 ) )
   <= ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ( c3_1 @ X30 )
        | ~ ( c0_1 @ X30 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl576_092,plain,
    ( ~ ( c1_1 @ a751 )
   <= ~ ( c1_1 @ a751 ) ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl1046,plain,
    ( ( ~ ( c0_1 @ a751 )
      | ( c3_1 @ a751 ) )
   <= ( ~ ( c1_1 @ a751 )
      & ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ( c3_1 @ X30 )
          | ~ ( c0_1 @ X30 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl304,zip_derived_cl576]) ).

thf('148',plain,
    ( ~ ( c0_1 @ a751 )
    | ( c1_1 @ a751 )
    | ~ ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ( c3_1 @ X30 )
          | ~ ( c0_1 @ X30 ) )
    | ( c3_1 @ a751 ) ),
    inference(split,[status(esa)],[zip_derived_cl1046]) ).

thf('149',plain,
    ( ( c0_1 @ a751 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf('150',plain,
    ( ~ ( c1_1 @ a751 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl123,plain,
    ( ~ hskp18
    | ~ ( c3_1 @ a751 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('151',plain,
    ( ~ ( c3_1 @ a751 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl140,plain,
    ( ~ hskp13
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('152',plain,
    ( ndr1_0
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl140]) ).

thf(zip_derived_cl2,plain,
    ( hskp23
    | hskp18
    | hskp21 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('153',plain,
    ( hskp18
    | hskp21
    | hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl3,plain,
    ( hskp11
    | hskp23
    | hskp13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('154',plain,
    ( hskp11
    | hskp23
    | hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl15,plain,
    ! [X9: $i] :
      ( ( c3_1 @ X9 )
      | ~ ( c0_1 @ X9 )
      | ~ ( c1_1 @ X9 )
      | ~ ndr1_0
      | hskp11
      | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('155',plain,
    ( hskp7
    | ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c1_1 @ X8 ) )
    | hskp11
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl5,plain,
    ( hskp14
    | hskp7
    | hskp26 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('156',plain,
    ( hskp7
    | hskp26
    | hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl361_093,plain,
    ( ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ( c3_1 @ X56 )
        | ~ ( c2_1 @ X56 ) )
   <= ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ( c3_1 @ X56 )
        | ~ ( c2_1 @ X56 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl288_094,plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c2_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c2_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl712_095,plain,
    ( ~ ( c1_1 @ a693 )
   <= ~ ( c1_1 @ a693 ) ),
    inference(split,[status(esa)],[zip_derived_cl190]) ).

thf(zip_derived_cl843,plain,
    ( ( ~ ( c2_1 @ a693 )
      | ~ ( c0_1 @ a693 ) )
   <= ( ~ ( c1_1 @ a693 )
      & ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c2_1 @ X23 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl288,zip_derived_cl712]) ).

thf(zip_derived_cl987,plain,
    ( ~ ( c0_1 @ a693 )
   <= ~ ( c0_1 @ a693 ) ),
    inference(split,[status(esa)],[zip_derived_cl843]) ).

thf(zip_derived_cl1656,plain,
    ( ( ~ ( c2_1 @ a693 )
      | ( c3_1 @ a693 ) )
   <= ( ~ ( c0_1 @ a693 )
      & ! [X56: $i] :
          ( ( c0_1 @ X56 )
          | ( c3_1 @ X56 )
          | ~ ( c2_1 @ X56 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl361,zip_derived_cl987]) ).

thf('157',plain,
    ( ( c0_1 @ a693 )
    | ~ ! [X56: $i] :
          ( ( c0_1 @ X56 )
          | ( c3_1 @ X56 )
          | ~ ( c2_1 @ X56 ) )
    | ( c3_1 @ a693 )
    | ~ ( c2_1 @ a693 ) ),
    inference(split,[status(esa)],[zip_derived_cl1656]) ).

thf(zip_derived_cl189,plain,
    ( ~ hskp1
    | ( c2_1 @ a693 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('158',plain,
    ( ( c2_1 @ a693 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf('159',plain,
    ( ~ ( c1_1 @ a693 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl190]) ).

thf(zip_derived_cl191,plain,
    ( ~ hskp1
    | ~ ( c3_1 @ a693 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('160',plain,
    ( ~ ( c3_1 @ a693 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl191]) ).

thf('161',plain,
    ( ~ ( c0_1 @ a693 )
    | ( c1_1 @ a693 )
    | ~ ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c2_1 @ X23 ) )
    | ~ ( c2_1 @ a693 ) ),
    inference(split,[status(esa)],[zip_derived_cl843]) ).

thf(zip_derived_cl39,plain,
    ! [X47: $i,X48: $i] :
      ( ( c0_1 @ X47 )
      | ~ ( c2_1 @ X47 )
      | ~ ( c3_1 @ X47 )
      | ~ ndr1_0
      | ( c2_1 @ X48 )
      | ( c3_1 @ X48 )
      | ~ ( c0_1 @ X48 )
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('162',plain,
    ( ! [X21: $i] :
        ( ( c2_1 @ X21 )
        | ( c3_1 @ X21 )
        | ~ ( c0_1 @ X21 ) )
    | hskp11
    | ~ ndr1_0
    | ! [X45: $i] :
        ( ( c0_1 @ X45 )
        | ~ ( c2_1 @ X45 )
        | ~ ( c3_1 @ X45 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl45,plain,
    ! [X60: $i,X61: $i,X62: $i] :
      ( ( c0_1 @ X60 )
      | ( c3_1 @ X60 )
      | ~ ( c2_1 @ X60 )
      | ~ ndr1_0
      | ( c1_1 @ X61 )
      | ( c2_1 @ X61 )
      | ~ ( c0_1 @ X61 )
      | ~ ndr1_0
      | ( c2_1 @ X62 )
      | ( c3_1 @ X62 )
      | ~ ( c0_1 @ X62 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('163',plain,
    ( ! [X21: $i] :
        ( ( c2_1 @ X21 )
        | ( c3_1 @ X21 )
        | ~ ( c0_1 @ X21 ) )
    | ! [X41: $i] :
        ( ( c1_1 @ X41 )
        | ( c2_1 @ X41 )
        | ~ ( c0_1 @ X41 ) )
    | ~ ndr1_0
    | ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ( c3_1 @ X56 )
        | ~ ( c2_1 @ X56 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl101,plain,
    ( ~ hskp23
    | ( c0_1 @ a763 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl534,plain,
    ( ( c0_1 @ a763 )
   <= ( c0_1 @ a763 ) ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf(zip_derived_cl265_096,plain,
    ( ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ~ ( c0_1 @ X14 )
        | ~ ( c3_1 @ X14 ) )
   <= ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ~ ( c0_1 @ X14 )
        | ~ ( c3_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl1011,plain,
    ( ( ( c2_1 @ a763 )
      | ~ ( c3_1 @ a763 ) )
   <= ( ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ~ ( c0_1 @ X14 )
          | ~ ( c3_1 @ X14 ) )
      & ( c0_1 @ a763 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl534,zip_derived_cl265]) ).

thf('164',plain,
    ( ~ ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ~ ( c0_1 @ X14 )
          | ~ ( c3_1 @ X14 ) )
    | ~ ( c3_1 @ a763 )
    | ( c2_1 @ a763 )
    | ~ ( c0_1 @ a763 ) ),
    inference(split,[status(esa)],[zip_derived_cl1011]) ).

thf(zip_derived_cl534_097,plain,
    ( ( c0_1 @ a763 )
   <= ( c0_1 @ a763 ) ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf(zip_derived_cl280_098,plain,
    ( ! [X21: $i] :
        ( ( c2_1 @ X21 )
        | ( c3_1 @ X21 )
        | ~ ( c0_1 @ X21 ) )
   <= ! [X21: $i] :
        ( ( c2_1 @ X21 )
        | ( c3_1 @ X21 )
        | ~ ( c0_1 @ X21 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl1012,plain,
    ( ( ( c2_1 @ a763 )
      | ( c3_1 @ a763 ) )
   <= ( ! [X21: $i] :
          ( ( c2_1 @ X21 )
          | ( c3_1 @ X21 )
          | ~ ( c0_1 @ X21 ) )
      & ( c0_1 @ a763 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl534,zip_derived_cl280]) ).

thf('165',plain,
    ( ( c3_1 @ a763 )
    | ~ ! [X21: $i] :
          ( ( c2_1 @ X21 )
          | ( c3_1 @ X21 )
          | ~ ( c0_1 @ X21 ) )
    | ~ ( c0_1 @ a763 )
    | ( c2_1 @ a763 ) ),
    inference(split,[status(esa)],[zip_derived_cl1012]) ).

thf(zip_derived_cl100,plain,
    ( ~ hskp23
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('166',plain,
    ( ndr1_0
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl100]) ).

thf(zip_derived_cl288_099,plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c2_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c2_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl594_100,plain,
    ( ~ ( c1_1 @ a738 )
   <= ~ ( c1_1 @ a738 ) ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf(zip_derived_cl849,plain,
    ( ( ~ ( c2_1 @ a738 )
      | ~ ( c0_1 @ a738 ) )
   <= ( ~ ( c1_1 @ a738 )
      & ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c2_1 @ X23 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl288,zip_derived_cl594]) ).

thf('167',plain,
    ( ~ ( c0_1 @ a738 )
    | ~ ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c2_1 @ X23 ) )
    | ( c1_1 @ a738 )
    | ~ ( c2_1 @ a738 ) ),
    inference(split,[status(esa)],[zip_derived_cl849]) ).

thf('168',plain,
    ( ~ ( c1_1 @ a738 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf(zip_derived_cl381_101,plain,
    ( ! [X68: $i] :
        ( ( c0_1 @ X68 )
        | ( c2_1 @ X68 )
        | ~ ( c3_1 @ X68 ) )
   <= ! [X68: $i] :
        ( ( c0_1 @ X68 )
        | ( c2_1 @ X68 )
        | ~ ( c3_1 @ X68 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl90,plain,
    ( ~ hskp26
    | ~ ( c0_1 @ a777 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl512,plain,
    ( ~ ( c0_1 @ a777 )
   <= ~ ( c0_1 @ a777 ) ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl1756,plain,
    ( ( ~ ( c3_1 @ a777 )
      | ( c2_1 @ a777 ) )
   <= ( ~ ( c0_1 @ a777 )
      & ! [X68: $i] :
          ( ( c0_1 @ X68 )
          | ( c2_1 @ X68 )
          | ~ ( c3_1 @ X68 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl381,zip_derived_cl512]) ).

thf('169',plain,
    ( ( c2_1 @ a777 )
    | ( c0_1 @ a777 )
    | ~ ! [X68: $i] :
          ( ( c0_1 @ X68 )
          | ( c2_1 @ X68 )
          | ~ ( c3_1 @ X68 ) )
    | ~ ( c3_1 @ a777 ) ),
    inference(split,[status(esa)],[zip_derived_cl1756]) ).

thf(zip_derived_cl89,plain,
    ( ~ hskp26
    | ( c3_1 @ a777 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('170',plain,
    ( ( c3_1 @ a777 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf('171',plain,
    ( ~ ( c0_1 @ a777 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl341_102,plain,
    ( ! [X45: $i] :
        ( ( c0_1 @ X45 )
        | ~ ( c2_1 @ X45 )
        | ~ ( c3_1 @ X45 ) )
   <= ! [X45: $i] :
        ( ( c0_1 @ X45 )
        | ~ ( c2_1 @ X45 )
        | ~ ( c3_1 @ X45 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl512_103,plain,
    ( ~ ( c0_1 @ a777 )
   <= ~ ( c0_1 @ a777 ) ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl1395,plain,
    ( ( ~ ( c3_1 @ a777 )
      | ~ ( c2_1 @ a777 ) )
   <= ( ~ ( c0_1 @ a777 )
      & ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ~ ( c2_1 @ X45 )
          | ~ ( c3_1 @ X45 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl341,zip_derived_cl512]) ).

thf('172',plain,
    ( ~ ( c2_1 @ a777 )
    | ( c0_1 @ a777 )
    | ~ ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ~ ( c2_1 @ X45 )
          | ~ ( c3_1 @ X45 ) )
    | ~ ( c3_1 @ a777 ) ),
    inference(split,[status(esa)],[zip_derived_cl1395]) ).

thf(zip_derived_cl341_104,plain,
    ( ! [X45: $i] :
        ( ( c0_1 @ X45 )
        | ~ ( c2_1 @ X45 )
        | ~ ( c3_1 @ X45 ) )
   <= ! [X45: $i] :
        ( ( c0_1 @ X45 )
        | ~ ( c2_1 @ X45 )
        | ~ ( c3_1 @ X45 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl111,plain,
    ( ~ hskp21
    | ~ ( c0_1 @ a760 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl554,plain,
    ( ~ ( c0_1 @ a760 )
   <= ~ ( c0_1 @ a760 ) ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl1390,plain,
    ( ( ~ ( c3_1 @ a760 )
      | ~ ( c2_1 @ a760 ) )
   <= ( ~ ( c0_1 @ a760 )
      & ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ~ ( c2_1 @ X45 )
          | ~ ( c3_1 @ X45 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl341,zip_derived_cl554]) ).

thf('173',plain,
    ( ~ ( c2_1 @ a760 )
    | ( c0_1 @ a760 )
    | ~ ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ~ ( c2_1 @ X45 )
          | ~ ( c3_1 @ X45 ) )
    | ~ ( c3_1 @ a760 ) ),
    inference(split,[status(esa)],[zip_derived_cl1390]) ).

thf(zip_derived_cl110,plain,
    ( ~ hskp21
    | ( c3_1 @ a760 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('174',plain,
    ( ( c3_1 @ a760 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl110]) ).

thf('175',plain,
    ( ~ ( c0_1 @ a760 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl381_105,plain,
    ( ! [X68: $i] :
        ( ( c0_1 @ X68 )
        | ( c2_1 @ X68 )
        | ~ ( c3_1 @ X68 ) )
   <= ! [X68: $i] :
        ( ( c0_1 @ X68 )
        | ( c2_1 @ X68 )
        | ~ ( c3_1 @ X68 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl554_106,plain,
    ( ~ ( c0_1 @ a760 )
   <= ~ ( c0_1 @ a760 ) ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl1751,plain,
    ( ( ~ ( c3_1 @ a760 )
      | ( c2_1 @ a760 ) )
   <= ( ~ ( c0_1 @ a760 )
      & ! [X68: $i] :
          ( ( c0_1 @ X68 )
          | ( c2_1 @ X68 )
          | ~ ( c3_1 @ X68 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl381,zip_derived_cl554]) ).

thf('176',plain,
    ( ( c2_1 @ a760 )
    | ( c0_1 @ a760 )
    | ~ ! [X68: $i] :
          ( ( c0_1 @ X68 )
          | ( c2_1 @ X68 )
          | ~ ( c3_1 @ X68 ) )
    | ~ ( c3_1 @ a760 ) ),
    inference(split,[status(esa)],[zip_derived_cl1751]) ).

thf('177',plain,
    ( hskp20
    | ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
    | ~ ndr1_0
    | ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 )
        | ~ ( c3_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl149,plain,
    ( ~ hskp11
    | ( c0_1 @ a722 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl630,plain,
    ( ( c0_1 @ a722 )
   <= ( c0_1 @ a722 ) ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl265_107,plain,
    ( ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ~ ( c0_1 @ X14 )
        | ~ ( c3_1 @ X14 ) )
   <= ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ~ ( c0_1 @ X14 )
        | ~ ( c3_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl1137,plain,
    ( ( ( c2_1 @ a722 )
      | ~ ( c3_1 @ a722 ) )
   <= ( ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ~ ( c0_1 @ X14 )
          | ~ ( c3_1 @ X14 ) )
      & ( c0_1 @ a722 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl630,zip_derived_cl265]) ).

thf('178',plain,
    ( ~ ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ~ ( c0_1 @ X14 )
          | ~ ( c3_1 @ X14 ) )
    | ( c2_1 @ a722 )
    | ~ ( c0_1 @ a722 )
    | ~ ( c3_1 @ a722 ) ),
    inference(split,[status(esa)],[zip_derived_cl1137]) ).

thf('179',plain,
    ( ( c0_1 @ a722 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl150,plain,
    ( ~ hskp11
    | ( c3_1 @ a722 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('180',plain,
    ( ( c3_1 @ a722 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf(zip_derived_cl169,plain,
    ( ~ hskp6
    | ( c0_1 @ a702 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('181',plain,
    ( ( c0_1 @ a702 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl169]) ).

thf(zip_derived_cl170,plain,
    ( ~ hskp6
    | ( c3_1 @ a702 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('182',plain,
    ( ( c3_1 @ a702 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl171,plain,
    ( ~ hskp6
    | ~ ( c2_1 @ a702 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('183',plain,
    ( ~ ( c2_1 @ a702 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl171]) ).

thf(zip_derived_cl670,plain,
    ( ( c0_1 @ a702 )
   <= ( c0_1 @ a702 ) ),
    inference(split,[status(esa)],[zip_derived_cl169]) ).

thf(zip_derived_cl265_108,plain,
    ( ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ~ ( c0_1 @ X14 )
        | ~ ( c3_1 @ X14 ) )
   <= ! [X14: $i] :
        ( ( c2_1 @ X14 )
        | ~ ( c0_1 @ X14 )
        | ~ ( c3_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl1171,plain,
    ( ( ( c2_1 @ a702 )
      | ~ ( c3_1 @ a702 ) )
   <= ( ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ~ ( c0_1 @ X14 )
          | ~ ( c3_1 @ X14 ) )
      & ( c0_1 @ a702 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl670,zip_derived_cl265]) ).

thf('184',plain,
    ( ~ ! [X14: $i] :
          ( ( c2_1 @ X14 )
          | ~ ( c0_1 @ X14 )
          | ~ ( c3_1 @ X14 ) )
    | ~ ( c0_1 @ a702 )
    | ( c2_1 @ a702 )
    | ~ ( c3_1 @ a702 ) ),
    inference(split,[status(esa)],[zip_derived_cl1171]) ).

thf(zip_derived_cl53,plain,
    ! [X80: $i,X81: $i] :
      ( ( c0_1 @ X80 )
      | ( c2_1 @ X80 )
      | ~ ( c1_1 @ X80 )
      | ~ ndr1_0
      | ( c0_1 @ X81 )
      | ~ ( c1_1 @ X81 )
      | ~ ( c2_1 @ X81 )
      | ~ ndr1_0
      | hskp29 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('185',plain,
    ( hskp29
    | ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c2_1 @ X75 )
        | ~ ( c1_1 @ X75 ) )
    | ~ ndr1_0
    | ! [X54: $i] :
        ( ( c0_1 @ X54 )
        | ~ ( c1_1 @ X54 )
        | ~ ( c2_1 @ X54 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf('186',plain,
    ( ( c0_1 @ a701 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl173]) ).

thf(zip_derived_cl174,plain,
    ( ~ hskp5
    | ( c2_1 @ a701 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('187',plain,
    ( ( c2_1 @ a701 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf('188',plain,
    ( ~ ( c1_1 @ a701 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl288_109,plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c2_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c2_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl682_110,plain,
    ( ~ ( c1_1 @ a701 )
   <= ~ ( c1_1 @ a701 ) ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl844,plain,
    ( ( ~ ( c2_1 @ a701 )
      | ~ ( c0_1 @ a701 ) )
   <= ( ~ ( c1_1 @ a701 )
      & ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c2_1 @ X23 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl288,zip_derived_cl682]) ).

thf('189',plain,
    ( ~ ( c0_1 @ a701 )
    | ( c1_1 @ a701 )
    | ~ ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c2_1 @ X23 ) )
    | ~ ( c2_1 @ a701 ) ),
    inference(split,[status(esa)],[zip_derived_cl844]) ).

thf('190',plain,
    ( ( c1_1 @ a708 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl166,plain,
    ( ~ hskp7
    | ( c2_1 @ a708 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('191',plain,
    ( ( c2_1 @ a708 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl166]) ).

thf(zip_derived_cl26,plain,
    ! [X24: $i,X25: $i] :
      ( ( c1_1 @ X24 )
      | ~ ( c0_1 @ X24 )
      | ~ ( c2_1 @ X24 )
      | ~ ndr1_0
      | ( c3_1 @ X25 )
      | ~ ( c1_1 @ X25 )
      | ~ ( c2_1 @ X25 )
      | ~ ndr1_0
      | hskp16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('192',plain,
    ( hskp16
    | ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c2_1 @ X23 ) )
    | ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf('193',plain,
    ( hskp16
    | ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c2_1 @ X23 ) )
    | ~ ndr1_0
    | hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl662_111,plain,
    ( ( c1_1 @ a708 )
   <= ( c1_1 @ a708 ) ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl233_112,plain,
    ( ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl1163,plain,
    ( ( ( c3_1 @ a708 )
      | ~ ( c2_1 @ a708 ) )
   <= ( ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ( c1_1 @ a708 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl662,zip_derived_cl233]) ).

thf('194',plain,
    ( ~ ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
    | ~ ( c2_1 @ a708 )
    | ( c3_1 @ a708 )
    | ~ ( c1_1 @ a708 ) ),
    inference(split,[status(esa)],[zip_derived_cl1163]) ).

thf(zip_derived_cl72,plain,
    ( ~ hskp30
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('195',plain,
    ( ndr1_0
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl72]) ).

thf(zip_derived_cl112,plain,
    ( ~ hskp20
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('196',plain,
    ( ndr1_0
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl112]) ).

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

thf('197',plain,
    ( ndr1_0
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl188]) ).

thf(zip_derived_cl1,plain,
    ( hskp30
    | hskp20
    | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('198',plain,
    ( hskp20
    | hskp30
    | hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl341_113,plain,
    ( ! [X45: $i] :
        ( ( c0_1 @ X45 )
        | ~ ( c2_1 @ X45 )
        | ~ ( c3_1 @ X45 ) )
   <= ! [X45: $i] :
        ( ( c0_1 @ X45 )
        | ~ ( c2_1 @ X45 )
        | ~ ( c3_1 @ X45 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl1027,plain,
    ( ~ ( c0_1 @ a738 )
   <= ~ ( c0_1 @ a738 ) ),
    inference(split,[status(esa)],[zip_derived_cl849]) ).

thf(zip_derived_cl1386,plain,
    ( ( ~ ( c3_1 @ a738 )
      | ~ ( c2_1 @ a738 ) )
   <= ( ~ ( c0_1 @ a738 )
      & ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ~ ( c2_1 @ X45 )
          | ~ ( c3_1 @ X45 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl341,zip_derived_cl1027]) ).

thf('199',plain,
    ( ( c0_1 @ a738 )
    | ~ ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ~ ( c2_1 @ X45 )
          | ~ ( c3_1 @ X45 ) )
    | ~ ( c2_1 @ a738 )
    | ~ ( c3_1 @ a738 ) ),
    inference(split,[status(esa)],[zip_derived_cl1386]) ).

thf(zip_derived_cl129,plain,
    ( ~ hskp16
    | ( c2_1 @ a738 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('200',plain,
    ( ( c2_1 @ a738 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf(zip_derived_cl130,plain,
    ( ~ hskp16
    | ( c3_1 @ a738 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('201',plain,
    ( ( c3_1 @ a738 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(zip_derived_cl5147,plain,
    ( ( c0_1 @ a738 )
   <= ( c0_1 @ a738 ) ),
    inference(split,[status(esa)],[zip_derived_cl1821]) ).

thf(zip_derived_cl232_114,plain,
    ( ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 )
        | ~ ( c3_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 )
        | ~ ( c3_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl5170,plain,
    ( ( ~ ( c2_1 @ a738 )
      | ~ ( c3_1 @ a738 ) )
   <= ( ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c2_1 @ X4 )
          | ~ ( c3_1 @ X4 ) )
      & ( c0_1 @ a738 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl5147,zip_derived_cl232]) ).

thf('202',plain,
    ( ~ ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c2_1 @ X4 )
          | ~ ( c3_1 @ X4 ) )
    | ~ ( c0_1 @ a738 )
    | ~ ( c2_1 @ a738 )
    | ~ ( c3_1 @ a738 ) ),
    inference(split,[status(esa)],[zip_derived_cl5170]) ).

thf(zip_derived_cl4311,plain,
    ( ( c0_1 @ a733 )
   <= ( c0_1 @ a733 ) ),
    inference(split,[status(esa)],[zip_derived_cl1299]) ).

thf(zip_derived_cl232_115,plain,
    ( ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 )
        | ~ ( c3_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 )
        | ~ ( c3_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl4332,plain,
    ( ( ~ ( c2_1 @ a733 )
      | ~ ( c3_1 @ a733 ) )
   <= ( ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c2_1 @ X4 )
          | ~ ( c3_1 @ X4 ) )
      & ( c0_1 @ a733 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4311,zip_derived_cl232]) ).

thf('203',plain,
    ( ~ ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c2_1 @ X4 )
          | ~ ( c3_1 @ X4 ) )
    | ~ ( c0_1 @ a733 )
    | ~ ( c2_1 @ a733 )
    | ~ ( c3_1 @ a733 ) ),
    inference(split,[status(esa)],[zip_derived_cl4332]) ).

thf(zip_derived_cl74,plain,
    ( ~ hskp30
    | ( c2_1 @ a733 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('204',plain,
    ( ( c2_1 @ a733 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl74]) ).

thf(zip_derived_cl75,plain,
    ( ~ hskp30
    | ( c3_1 @ a733 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('205',plain,
    ( ( c3_1 @ a733 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl75]) ).

thf(zip_derived_cl341_116,plain,
    ( ! [X45: $i] :
        ( ( c0_1 @ X45 )
        | ~ ( c2_1 @ X45 )
        | ~ ( c3_1 @ X45 ) )
   <= ! [X45: $i] :
        ( ( c0_1 @ X45 )
        | ~ ( c2_1 @ X45 )
        | ~ ( c3_1 @ X45 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl478_117,plain,
    ( ( c1_1 @ a733 )
   <= ( c1_1 @ a733 ) ),
    inference(split,[status(esa)],[zip_derived_cl73]) ).

thf(zip_derived_cl220_118,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl888,plain,
    ( ( ~ ( c0_1 @ a733 )
      | ~ ( c3_1 @ a733 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c1_1 @ a733 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl478,zip_derived_cl220]) ).

thf(zip_derived_cl1173,plain,
    ( ~ ( c0_1 @ a733 )
   <= ~ ( c0_1 @ a733 ) ),
    inference(split,[status(esa)],[zip_derived_cl888]) ).

thf(zip_derived_cl1398,plain,
    ( ( ~ ( c3_1 @ a733 )
      | ~ ( c2_1 @ a733 ) )
   <= ( ~ ( c0_1 @ a733 )
      & ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ~ ( c2_1 @ X45 )
          | ~ ( c3_1 @ X45 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl341,zip_derived_cl1173]) ).

thf('206',plain,
    ( ( c0_1 @ a733 )
    | ~ ( c2_1 @ a733 )
    | ~ ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ~ ( c2_1 @ X45 )
          | ~ ( c3_1 @ X45 ) )
    | ~ ( c3_1 @ a733 ) ),
    inference(split,[status(esa)],[zip_derived_cl1398]) ).

thf(zip_derived_cl161,plain,
    ( ~ hskp8
    | ( c2_1 @ a710 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('207',plain,
    ( ( c2_1 @ a710 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl162,plain,
    ( ~ hskp8
    | ( c3_1 @ a710 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('208',plain,
    ( ( c3_1 @ a710 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf(zip_derived_cl163,plain,
    ( ~ hskp8
    | ~ ( c0_1 @ a710 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('209',plain,
    ( ~ ( c0_1 @ a710 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl341_119,plain,
    ( ! [X45: $i] :
        ( ( c0_1 @ X45 )
        | ~ ( c2_1 @ X45 )
        | ~ ( c3_1 @ X45 ) )
   <= ! [X45: $i] :
        ( ( c0_1 @ X45 )
        | ~ ( c2_1 @ X45 )
        | ~ ( c3_1 @ X45 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl658,plain,
    ( ~ ( c0_1 @ a710 )
   <= ~ ( c0_1 @ a710 ) ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl1380,plain,
    ( ( ~ ( c3_1 @ a710 )
      | ~ ( c2_1 @ a710 ) )
   <= ( ~ ( c0_1 @ a710 )
      & ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ~ ( c2_1 @ X45 )
          | ~ ( c3_1 @ X45 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl341,zip_derived_cl658]) ).

thf('210',plain,
    ( ~ ( c3_1 @ a710 )
    | ( c0_1 @ a710 )
    | ~ ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ~ ( c2_1 @ X45 )
          | ~ ( c3_1 @ X45 ) )
    | ~ ( c2_1 @ a710 ) ),
    inference(split,[status(esa)],[zip_derived_cl1380]) ).

thf(zip_derived_cl504_120,plain,
    ( ( c1_1 @ a691 )
   <= ( c1_1 @ a691 ) ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf(zip_derived_cl268_121,plain,
    ( ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ~ ( c0_1 @ X16 )
        | ~ ( c1_1 @ X16 ) )
   <= ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ~ ( c0_1 @ X16 )
        | ~ ( c1_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl979,plain,
    ( ( ( c2_1 @ a691 )
      | ~ ( c0_1 @ a691 ) )
   <= ( ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ~ ( c0_1 @ X16 )
          | ~ ( c1_1 @ X16 ) )
      & ( c1_1 @ a691 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl504,zip_derived_cl268]) ).

thf('211',plain,
    ( ( c2_1 @ a691 )
    | ~ ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ~ ( c0_1 @ X16 )
          | ~ ( c1_1 @ X16 ) )
    | ~ ( c1_1 @ a691 )
    | ~ ( c0_1 @ a691 ) ),
    inference(split,[status(esa)],[zip_derived_cl979]) ).

thf(zip_derived_cl79,plain,
    ( ~ hskp29
    | ( c3_1 @ a713 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('212',plain,
    ( ( c3_1 @ a713 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl79]) ).

thf(zip_derived_cl77,plain,
    ( ~ hskp29
    | ( c0_1 @ a713 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('213',plain,
    ( ( c0_1 @ a713 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl77]) ).

thf(zip_derived_cl78,plain,
    ( ~ hskp29
    | ( c2_1 @ a713 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('214',plain,
    ( ( c2_1 @ a713 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl78]) ).

thf(zip_derived_cl486,plain,
    ( ( c0_1 @ a713 )
   <= ( c0_1 @ a713 ) ),
    inference(split,[status(esa)],[zip_derived_cl77]) ).

thf(zip_derived_cl232_122,plain,
    ( ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 )
        | ~ ( c3_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 )
        | ~ ( c3_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl943,plain,
    ( ( ~ ( c2_1 @ a713 )
      | ~ ( c3_1 @ a713 ) )
   <= ( ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c2_1 @ X4 )
          | ~ ( c3_1 @ X4 ) )
      & ( c0_1 @ a713 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl486,zip_derived_cl232]) ).

thf('215',plain,
    ( ~ ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c2_1 @ X4 )
          | ~ ( c3_1 @ X4 ) )
    | ~ ( c0_1 @ a713 )
    | ~ ( c2_1 @ a713 )
    | ~ ( c3_1 @ a713 ) ),
    inference(split,[status(esa)],[zip_derived_cl943]) ).

thf(zip_derived_cl630_123,plain,
    ( ( c0_1 @ a722 )
   <= ( c0_1 @ a722 ) ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl232_124,plain,
    ( ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 )
        | ~ ( c3_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 )
        | ~ ( c3_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl1135,plain,
    ( ( ~ ( c2_1 @ a722 )
      | ~ ( c3_1 @ a722 ) )
   <= ( ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c2_1 @ X4 )
          | ~ ( c3_1 @ X4 ) )
      & ( c0_1 @ a722 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl630,zip_derived_cl232]) ).

thf('216',plain,
    ( ~ ! [X4: $i] :
          ( ~ ( c0_1 @ X4 )
          | ~ ( c2_1 @ X4 )
          | ~ ( c3_1 @ X4 ) )
    | ~ ( c2_1 @ a722 )
    | ~ ( c0_1 @ a722 )
    | ~ ( c3_1 @ a722 ) ),
    inference(split,[status(esa)],[zip_derived_cl1135]) ).

thf('217',plain,
    ( ( c2_1 @ a754 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl113]) ).

thf(zip_derived_cl114,plain,
    ( ~ hskp20
    | ~ ( c0_1 @ a754 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('218',plain,
    ( ~ ( c0_1 @ a754 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl114]) ).

thf(zip_derived_cl115,plain,
    ( ~ hskp20
    | ~ ( c3_1 @ a754 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('219',plain,
    ( ~ ( c3_1 @ a754 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl115]) ).

thf(zip_derived_cl361_125,plain,
    ( ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ( c3_1 @ X56 )
        | ~ ( c2_1 @ X56 ) )
   <= ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ( c3_1 @ X56 )
        | ~ ( c2_1 @ X56 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl560,plain,
    ( ~ ( c0_1 @ a754 )
   <= ~ ( c0_1 @ a754 ) ),
    inference(split,[status(esa)],[zip_derived_cl114]) ).

thf(zip_derived_cl1672,plain,
    ( ( ~ ( c2_1 @ a754 )
      | ( c3_1 @ a754 ) )
   <= ( ~ ( c0_1 @ a754 )
      & ! [X56: $i] :
          ( ( c0_1 @ X56 )
          | ( c3_1 @ X56 )
          | ~ ( c2_1 @ X56 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl361,zip_derived_cl560]) ).

thf('220',plain,
    ( ~ ! [X56: $i] :
          ( ( c0_1 @ X56 )
          | ( c3_1 @ X56 )
          | ~ ( c2_1 @ X56 ) )
    | ( c0_1 @ a754 )
    | ( c3_1 @ a754 )
    | ~ ( c2_1 @ a754 ) ),
    inference(split,[status(esa)],[zip_derived_cl1672]) ).

thf(zip_derived_cl614_126,plain,
    ( ( c1_1 @ a726 )
   <= ( c1_1 @ a726 ) ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf(zip_derived_cl273_127,plain,
    ( ! [X17: $i] :
        ( ( c2_1 @ X17 )
        | ( c3_1 @ X17 )
        | ~ ( c1_1 @ X17 ) )
   <= ! [X17: $i] :
        ( ( c2_1 @ X17 )
        | ( c3_1 @ X17 )
        | ~ ( c1_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl1134,plain,
    ( ( ( c2_1 @ a726 )
      | ( c3_1 @ a726 ) )
   <= ( ! [X17: $i] :
          ( ( c2_1 @ X17 )
          | ( c3_1 @ X17 )
          | ~ ( c1_1 @ X17 ) )
      & ( c1_1 @ a726 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl614,zip_derived_cl273]) ).

thf('221',plain,
    ( ( c2_1 @ a726 )
    | ~ ( c1_1 @ a726 )
    | ~ ! [X17: $i] :
          ( ( c2_1 @ X17 )
          | ( c3_1 @ X17 )
          | ~ ( c1_1 @ X17 ) )
    | ( c3_1 @ a726 ) ),
    inference(split,[status(esa)],[zip_derived_cl1134]) ).

thf(zip_derived_cl333_128,plain,
    ( ! [X41: $i] :
        ( ( c1_1 @ X41 )
        | ( c2_1 @ X41 )
        | ~ ( c0_1 @ X41 ) )
   <= ! [X41: $i] :
        ( ( c1_1 @ X41 )
        | ( c2_1 @ X41 )
        | ~ ( c0_1 @ X41 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl536_129,plain,
    ( ~ ( c1_1 @ a763 )
   <= ~ ( c1_1 @ a763 ) ),
    inference(split,[status(esa)],[zip_derived_cl102]) ).

thf(zip_derived_cl1473,plain,
    ( ( ~ ( c0_1 @ a763 )
      | ( c2_1 @ a763 ) )
   <= ( ~ ( c1_1 @ a763 )
      & ! [X41: $i] :
          ( ( c1_1 @ X41 )
          | ( c2_1 @ X41 )
          | ~ ( c0_1 @ X41 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl333,zip_derived_cl536]) ).

thf('222',plain,
    ( ~ ! [X41: $i] :
          ( ( c1_1 @ X41 )
          | ( c2_1 @ X41 )
          | ~ ( c0_1 @ X41 ) )
    | ( c1_1 @ a763 )
    | ( c2_1 @ a763 )
    | ~ ( c0_1 @ a763 ) ),
    inference(split,[status(esa)],[zip_derived_cl1473]) ).

thf('223',plain,
    ( ( c0_1 @ a763 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf('224',plain,
    ( ~ ( c1_1 @ a763 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl102]) ).

thf(zip_derived_cl103,plain,
    ( ~ hskp23
    | ~ ( c2_1 @ a763 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('225',plain,
    ( ~ ( c2_1 @ a763 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl103]) ).

thf('226',plain,
    ( ! [X7: $i] :
        ( ~ ( c1_1 @ X7 )
        | ~ ( c2_1 @ X7 )
        | ~ ( c3_1 @ X7 ) )
    | hskp8
    | ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ( c3_1 @ X56 )
        | ~ ( c2_1 @ X56 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl177,plain,
    ( ~ hskp4
    | ~ ( c0_1 @ a698 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('227',plain,
    ( ~ ( c0_1 @ a698 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf(zip_derived_cl178,plain,
    ( ~ hskp4
    | ~ ( c2_1 @ a698 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('228',plain,
    ( ~ ( c2_1 @ a698 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl179,plain,
    ( ~ hskp4
    | ~ ( c3_1 @ a698 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('229',plain,
    ( ~ ( c3_1 @ a698 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl179]) ).

thf(zip_derived_cl404_130,plain,
    ( ! [X82: $i] :
        ( ( c0_1 @ X82 )
        | ( c2_1 @ X82 )
        | ( c3_1 @ X82 ) )
   <= ! [X82: $i] :
        ( ( c0_1 @ X82 )
        | ( c2_1 @ X82 )
        | ( c3_1 @ X82 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf(zip_derived_cl686,plain,
    ( ~ ( c0_1 @ a698 )
   <= ~ ( c0_1 @ a698 ) ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf(zip_derived_cl1865,plain,
    ( ( ( c3_1 @ a698 )
      | ( c2_1 @ a698 ) )
   <= ( ~ ( c0_1 @ a698 )
      & ! [X82: $i] :
          ( ( c0_1 @ X82 )
          | ( c2_1 @ X82 )
          | ( c3_1 @ X82 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl404,zip_derived_cl686]) ).

thf('230',plain,
    ( ~ ! [X82: $i] :
          ( ( c0_1 @ X82 )
          | ( c2_1 @ X82 )
          | ( c3_1 @ X82 ) )
    | ( c0_1 @ a698 )
    | ( c2_1 @ a698 )
    | ( c3_1 @ a698 ) ),
    inference(split,[status(esa)],[zip_derived_cl1865]) ).

thf(zip_derived_cl58,plain,
    ! [X86: $i,X87: $i,X88: $i] :
      ( ( c0_1 @ X86 )
      | ( c2_1 @ X86 )
      | ( c3_1 @ X86 )
      | ~ ndr1_0
      | ( c3_1 @ X87 )
      | ~ ( c0_1 @ X87 )
      | ~ ( c1_1 @ X87 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X88 )
      | ~ ( c2_1 @ X88 )
      | ~ ( c3_1 @ X88 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('231',plain,
    ( ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c1_1 @ X8 ) )
    | ! [X82: $i] :
        ( ( c0_1 @ X82 )
        | ( c2_1 @ X82 )
        | ( c3_1 @ X82 ) )
    | ~ ndr1_0
    | ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 )
        | ~ ( c3_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf('232',plain,
    ( ( c0_1 @ a730 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf('233',plain,
    ( ( c1_1 @ a730 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf(zip_derived_cl139,plain,
    ( ~ hskp14
    | ~ ( c3_1 @ a730 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('234',plain,
    ( ~ ( c3_1 @ a730 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf(zip_derived_cl608_131,plain,
    ( ( c1_1 @ a730 )
   <= ( c1_1 @ a730 ) ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf(zip_derived_cl244_132,plain,
    ( ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c1_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c1_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl1113,plain,
    ( ( ( c3_1 @ a730 )
      | ~ ( c0_1 @ a730 ) )
   <= ( ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c1_1 @ X8 ) )
      & ( c1_1 @ a730 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl608,zip_derived_cl244]) ).

thf('235',plain,
    ( ~ ( c0_1 @ a730 )
    | ~ ( c1_1 @ a730 )
    | ~ ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c1_1 @ X8 ) )
    | ( c3_1 @ a730 ) ),
    inference(split,[status(esa)],[zip_derived_cl1113]) ).

thf('236',plain,
    ( ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ( c3_1 @ X26 )
        | ~ ( c2_1 @ X26 ) )
    | hskp14
    | ! [X4: $i] :
        ( ~ ( c0_1 @ X4 )
        | ~ ( c2_1 @ X4 )
        | ~ ( c3_1 @ X4 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl284_133,plain,
    ( ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ~ ( c2_1 @ X22 )
        | ~ ( c3_1 @ X22 ) )
   <= ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ~ ( c2_1 @ X22 )
        | ~ ( c3_1 @ X22 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl722_134,plain,
    ( ~ ( c1_1 @ a692 )
   <= ~ ( c1_1 @ a692 ) ),
    inference(split,[status(esa)],[zip_derived_cl195]) ).

thf(zip_derived_cl795,plain,
    ( ( ~ ( c3_1 @ a692 )
      | ~ ( c2_1 @ a692 ) )
   <= ( ~ ( c1_1 @ a692 )
      & ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ~ ( c2_1 @ X22 )
          | ~ ( c3_1 @ X22 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl284,zip_derived_cl722]) ).

thf('237',plain,
    ( ~ ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ~ ( c2_1 @ X22 )
          | ~ ( c3_1 @ X22 ) )
    | ~ ( c3_1 @ a692 )
    | ( c1_1 @ a692 )
    | ~ ( c2_1 @ a692 ) ),
    inference(split,[status(esa)],[zip_derived_cl795]) ).

thf(zip_derived_cl193,plain,
    ( ~ hskp0
    | ( c2_1 @ a692 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('238',plain,
    ( ( c2_1 @ a692 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl193]) ).

thf('239',plain,
    ( ~ ( c1_1 @ a692 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl195]) ).

thf(zip_derived_cl297_135,plain,
    ( ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ( c3_1 @ X26 )
        | ~ ( c2_1 @ X26 ) )
   <= ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ( c3_1 @ X26 )
        | ~ ( c2_1 @ X26 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl722_136,plain,
    ( ~ ( c1_1 @ a692 )
   <= ~ ( c1_1 @ a692 ) ),
    inference(split,[status(esa)],[zip_derived_cl195]) ).

thf(zip_derived_cl912,plain,
    ( ( ~ ( c2_1 @ a692 )
      | ( c3_1 @ a692 ) )
   <= ( ~ ( c1_1 @ a692 )
      & ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ( c3_1 @ X26 )
          | ~ ( c2_1 @ X26 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl297,zip_derived_cl722]) ).

thf('240',plain,
    ( ( c3_1 @ a692 )
    | ~ ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ( c3_1 @ X26 )
          | ~ ( c2_1 @ X26 ) )
    | ( c1_1 @ a692 )
    | ~ ( c2_1 @ a692 ) ),
    inference(split,[status(esa)],[zip_derived_cl912]) ).

thf('241',plain,
    ( hskp7
    | ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ~ ( c2_1 @ X22 )
        | ~ ( c3_1 @ X22 ) )
    | hskp13
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl167,plain,
    ( ~ hskp7
    | ~ ( c3_1 @ a708 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('242',plain,
    ( ~ ( c3_1 @ a708 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl167]) ).

thf(zip_derived_cl662_137,plain,
    ( ( c1_1 @ a708 )
   <= ( c1_1 @ a708 ) ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl378_138,plain,
    ( ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ( c3_1 @ X65 )
        | ~ ( c1_1 @ X65 ) )
   <= ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ( c3_1 @ X65 )
        | ~ ( c1_1 @ X65 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(zip_derived_cl1510,plain,
    ( ( ( c0_1 @ a708 )
      | ( c3_1 @ a708 ) )
   <= ( ! [X65: $i] :
          ( ( c0_1 @ X65 )
          | ( c3_1 @ X65 )
          | ~ ( c1_1 @ X65 ) )
      & ( c1_1 @ a708 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl662,zip_derived_cl378]) ).

thf('243',plain,
    ( ( c0_1 @ a708 )
    | ( c3_1 @ a708 )
    | ~ ! [X65: $i] :
          ( ( c0_1 @ X65 )
          | ( c3_1 @ X65 )
          | ~ ( c1_1 @ X65 ) )
    | ~ ( c1_1 @ a708 ) ),
    inference(split,[status(esa)],[zip_derived_cl1510]) ).

thf(zip_derived_cl662_139,plain,
    ( ( c1_1 @ a708 )
   <= ( c1_1 @ a708 ) ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl244_140,plain,
    ( ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c1_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ( c3_1 @ X8 )
        | ~ ( c0_1 @ X8 )
        | ~ ( c1_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl1165,plain,
    ( ( ( c3_1 @ a708 )
      | ~ ( c0_1 @ a708 ) )
   <= ( ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c1_1 @ X8 ) )
      & ( c1_1 @ a708 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl662,zip_derived_cl244]) ).

thf('244',plain,
    ( ~ ( c0_1 @ a708 )
    | ~ ( c1_1 @ a708 )
    | ~ ! [X8: $i] :
          ( ( c3_1 @ X8 )
          | ~ ( c0_1 @ X8 )
          | ~ ( c1_1 @ X8 ) )
    | ( c3_1 @ a708 ) ),
    inference(split,[status(esa)],[zip_derived_cl1165]) ).

thf(zip_derived_cl6607,plain,
    $false,
    inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6','7','8','9','10','11','12','13','14','15','16','17','18','19','20','21','22','23','24','25','26','27','28','29','30','31','32','33','34','35','36','37','38','39','40','41','42','43','44','45','46','47','48','49','50','51','52','53','54','55','56','57','58','59','60','61','62','63','64','65','66','67','68','69','70','71','72','73','74','75','76','77','78','79','80','81','82','83','84','85','86','87','88','89','90','91','92','93','94','95','96','97','98','99','100','101','102','103','104','105','106','107','108','109','110','111','112','113','114','115','116','117','118','119','120','121','122','123','124','125','126','127','128','129','130','131','132','133','134','135','136','137','138','139','140','141','142','143','144','145','146','147','148','149','150','151','152','153','154','155','156','157','158','159','160','161','162','163','164','165','166','167','168','169','170','171','172','173','174','175','176','177','178','179','180','181','182','183','184','185','186','187','188','189','190','191','192','193','194','195','196','197','198','199','200','201','202','203','204','205','206','207','208','209','210','211','212','213','214','215','216','217','218','219','220','221','222','223','224','225','226','227','228','229','230','231','232','233','234','235','236','237','238','239','240','241','242','243','244']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09  % Problem  : SYN472+1 : TPTP v9.2.0. Released v2.1.0.
% 0.08/0.10  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.crL8hU3ext true
% 0.09/0.30  % Computer : n012.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit : 300
% 0.09/0.30  % WCLimit  : 300
% 0.09/0.30  % DateTime : Wed Oct  1 13:38:38 EDT 2025
% 0.09/0.30  % CPUTime  : 
% 0.09/0.30  % Running portfolio for 300 s
% 0.09/0.30  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.30  % Number of cores: 8
% 0.09/0.30  % Python version: Python 3.6.8
% 0.09/0.31  % Running in FO mode
% 0.43/0.53  % Total configuration time : 435
% 0.43/0.53  % Estimated wc time : 1092
% 0.43/0.53  % Estimated cpu time (7 cpus) : 156.0
% 0.47/0.61  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.47/0.62  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.47/0.62  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.47/0.62  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.79/0.63  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.79/0.64  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.79/0.64  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 9.24/1.84  % Solved by fo/fo1_av.sh.
% 9.24/1.84  % done 1875 iterations in 1.113s
% 9.24/1.84  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 9.24/1.84  % SZS output start Refutation
% See solution above
% 9.24/1.85  
% 9.24/1.85  
% 9.24/1.85  % Terminating...
% 10.01/2.02  % Runner terminated.
% 10.04/2.04  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------