TSTP Solution File: SYN450+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN450+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.WPErc2fi1q true

% Computer : n025.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep  1 04:03:35 EDT 2023

% Result   : Theorem 15.11s 2.84s
% Output   : Refutation 15.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   66
% Syntax   : Number of formulae    :  645 (   1 unt;  65 typ;   0 def)
%            Number of atoms       : 4050 (   0 equ;   0 cnn)
%            Maximal formula atoms :  599 (   6 avg)
%            Number of connectives : 8771 (2100   ~;2530   |; 483   &;3201   @)
%                                         (   0 <=>; 180  =>; 277  <=;   0 <~>)
%            Maximal formula depth :   93 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   66 (  65 usr;  62 con; 0-1 aty)
%            Number of variables   :  758 (   0   ^; 758   !;   0   ?; 758   :)

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

thf(a645_type,type,
    a645: $i ).

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

thf(a657_type,type,
    a657: $i ).

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

thf(a671_type,type,
    a671: $i ).

thf(a672_type,type,
    a672: $i ).

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

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

thf(a641_type,type,
    a641: $i ).

thf(a648_type,type,
    a648: $i ).

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

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

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

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

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

thf(a646_type,type,
    a646: $i ).

thf(a682_type,type,
    a682: $i ).

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

thf(a688_type,type,
    a688: $i ).

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

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

thf(a642_type,type,
    a642: $i ).

thf(a656_type,type,
    a656: $i ).

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

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

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

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

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

thf(a654_type,type,
    a654: $i ).

thf(a660_type,type,
    a660: $i ).

thf(a676_type,type,
    a676: $i ).

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

thf(a640_type,type,
    a640: $i ).

thf(a675_type,type,
    a675: $i ).

thf(a667_type,type,
    a667: $i ).

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

thf(a686_type,type,
    a686: $i ).

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

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

thf(a651_type,type,
    a651: $i ).

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

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

thf(a652_type,type,
    a652: $i ).

thf(a661_type,type,
    a661: $i ).

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

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

thf(a665_type,type,
    a665: $i ).

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

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

thf(a647_type,type,
    a647: $i ).

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

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

thf(a698_type,type,
    a698: $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(a643_type,type,
    a643: $i ).

thf(a655_type,type,
    a655: $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 @ a641 )
          & ( c3_1 @ a641 )
          & ~ ( c1_1 @ a641 ) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & ( c0_1 @ a642 )
          & ( c3_1 @ a642 )
          & ~ ( c1_1 @ a642 ) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & ( c1_1 @ a643 )
          & ( c2_1 @ a643 )
          & ~ ( c0_1 @ a643 ) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & ( c1_1 @ a645 )
          & ( c3_1 @ a645 )
          & ~ ( c2_1 @ a645 ) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & ~ ( c1_1 @ a646 )
          & ~ ( c2_1 @ a646 )
          & ~ ( c3_1 @ a646 ) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & ( c1_1 @ a647 )
          & ~ ( c0_1 @ a647 )
          & ~ ( c3_1 @ a647 ) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & ( c0_1 @ a648 )
          & ~ ( c2_1 @ a648 )
          & ~ ( c3_1 @ a648 ) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & ( c3_1 @ a651 )
          & ~ ( c0_1 @ a651 )
          & ~ ( c1_1 @ a651 ) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & ( c0_1 @ a652 )
          & ( c3_1 @ a652 )
          & ~ ( c2_1 @ a652 ) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & ~ ( c0_1 @ a654 )
          & ~ ( c1_1 @ a654 )
          & ~ ( c2_1 @ a654 ) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & ( c0_1 @ a656 )
          & ( c2_1 @ a656 )
          & ~ ( c1_1 @ a656 ) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & ( c0_1 @ a657 )
          & ( c2_1 @ a657 )
          & ~ ( c3_1 @ a657 ) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & ( c0_1 @ a660 )
          & ~ ( c1_1 @ a660 )
          & ~ ( c2_1 @ a660 ) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & ( c0_1 @ a661 )
          & ~ ( c1_1 @ a661 )
          & ~ ( c3_1 @ a661 ) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & ( c2_1 @ a665 )
          & ~ ( c0_1 @ a665 )
          & ~ ( c1_1 @ a665 ) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & ( c3_1 @ a667 )
          & ~ ( c0_1 @ a667 )
          & ~ ( c2_1 @ a667 ) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & ( c1_1 @ a672 )
          & ~ ( c2_1 @ a672 )
          & ~ ( c3_1 @ a672 ) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & ( c2_1 @ a675 )
          & ~ ( c1_1 @ a675 )
          & ~ ( c3_1 @ a675 ) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & ( c0_1 @ a676 )
          & ( c1_1 @ a676 )
          & ~ ( c2_1 @ a676 ) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & ( c3_1 @ a682 )
          & ~ ( c1_1 @ a682 )
          & ~ ( c2_1 @ a682 ) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & ( c1_1 @ a686 )
          & ( c2_1 @ a686 )
          & ~ ( c3_1 @ a686 ) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & ~ ( c0_1 @ a691 )
          & ~ ( c1_1 @ a691 )
          & ~ ( c3_1 @ a691 ) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & ( c2_1 @ a693 )
          & ( c3_1 @ a693 )
          & ~ ( c0_1 @ a693 ) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & ( c2_1 @ a695 )
          & ~ ( c0_1 @ a695 )
          & ~ ( c3_1 @ a695 ) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & ( c1_1 @ a698 )
          & ~ ( c0_1 @ a698 )
          & ~ ( c2_1 @ a698 ) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & ~ ( c0_1 @ a710 )
          & ~ ( c2_1 @ a710 )
          & ~ ( c3_1 @ a710 ) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & ( c0_1 @ a640 )
          & ( c1_1 @ a640 )
          & ( c3_1 @ a640 ) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & ( c0_1 @ a655 )
          & ( c2_1 @ a655 )
          & ( c3_1 @ a655 ) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & ( c0_1 @ a671 )
          & ( c1_1 @ a671 )
          & ( c2_1 @ a671 ) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & ( c1_1 @ a688 )
          & ( c2_1 @ a688 )
          & ( c3_1 @ a688 ) ) )
      & ( ! [U: $i] :
            ( ndr1_0
           => ( ( c0_1 @ U )
              | ( c1_1 @ U )
              | ( c2_1 @ U ) ) )
        | hskp26
        | hskp0 )
      & ( ! [V: $i] :
            ( ndr1_0
           => ( ( c0_1 @ V )
              | ( c1_1 @ V )
              | ( c3_1 @ V ) ) )
        | ! [W: $i] :
            ( ndr1_0
           => ( ( c0_1 @ W )
              | ( c1_1 @ W )
              | ~ ( c2_1 @ W ) ) )
        | ! [X: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X )
              | ~ ( c0_1 @ X )
              | ~ ( c1_1 @ X ) ) ) )
      & ( ! [Y: $i] :
            ( ndr1_0
           => ( ( c0_1 @ Y )
              | ( c1_1 @ Y )
              | ( c3_1 @ Y ) ) )
        | ! [Z: $i] :
            ( ndr1_0
           => ( ( c0_1 @ Z )
              | ~ ( c2_1 @ Z )
              | ~ ( c3_1 @ Z ) ) )
        | hskp1 )
      & ( ! [X1: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X1 )
              | ( c1_1 @ X1 )
              | ( c3_1 @ X1 ) ) )
        | hskp2
        | hskp0 )
      & ( ! [X2: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X2 )
              | ( c1_1 @ X2 )
              | ( c3_1 @ X2 ) ) )
        | hskp3
        | hskp4 )
      & ( ! [X3: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X3 )
              | ( c1_1 @ X3 )
              | ~ ( c2_1 @ X3 ) ) )
        | ! [X4: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X4 )
              | ( c3_1 @ X4 )
              | ~ ( c2_1 @ X4 ) ) )
        | hskp5 )
      & ( ! [X5: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X5 )
              | ( c1_1 @ X5 )
              | ~ ( c2_1 @ X5 ) ) )
        | hskp6
        | hskp2 )
      & ( ! [X6: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X6 )
              | ( c1_1 @ X6 )
              | ~ ( c3_1 @ X6 ) ) )
        | ! [X7: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X7 )
              | ( c3_1 @ X7 )
              | ~ ( c1_1 @ X7 ) ) )
        | hskp2 )
      & ( ! [X8: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X8 )
              | ( c1_1 @ X8 )
              | ~ ( c3_1 @ X8 ) ) )
        | ! [X9: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X9 )
              | ~ ( c0_1 @ X9 )
              | ~ ( c3_1 @ X9 ) ) )
        | hskp7 )
      & ( ! [X10: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X10 )
              | ( c1_1 @ X10 )
              | ~ ( c3_1 @ X10 ) ) )
        | ! [X11: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X11 )
              | ~ ( c1_1 @ X11 )
              | ~ ( c2_1 @ X11 ) ) )
        | hskp8 )
      & ( ! [X12: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X12 )
              | ( c1_1 @ X12 )
              | ~ ( c3_1 @ X12 ) ) )
        | ! [X13: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X13 )
              | ~ ( c2_1 @ X13 )
              | ~ ( c3_1 @ X13 ) ) )
        | hskp3 )
      & ( ! [X14: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X14 )
              | ( c2_1 @ X14 )
              | ( c3_1 @ X14 ) ) )
        | ! [X15: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X15 )
              | ( c2_1 @ X15 )
              | ( c3_1 @ X15 ) ) )
        | ! [X16: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X16 )
              | ~ ( c1_1 @ X16 )
              | ~ ( c3_1 @ X16 ) ) ) )
      & ( ! [X17: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X17 )
              | ( c2_1 @ X17 )
              | ( c3_1 @ X17 ) ) )
        | ! [X18: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X18 )
              | ( c3_1 @ X18 )
              | ~ ( c2_1 @ X18 ) ) )
        | hskp9 )
      & ( ! [X19: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X19 )
              | ( c2_1 @ X19 )
              | ~ ( c3_1 @ X19 ) ) )
        | ! [X20: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X20 )
              | ( c2_1 @ X20 )
              | ~ ( c3_1 @ X20 ) ) )
        | hskp27 )
      & ( ! [X21: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X21 )
              | ( c2_1 @ X21 )
              | ~ ( c3_1 @ X21 ) ) )
        | ! [X22: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X22 )
              | ~ ( c0_1 @ X22 )
              | ~ ( c1_1 @ X22 ) ) )
        | hskp10 )
      & ( ! [X23: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X23 )
              | ( c3_1 @ X23 )
              | ~ ( c1_1 @ X23 ) ) )
        | ! [X24: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X24 )
              | ~ ( c1_1 @ X24 )
              | ~ ( c2_1 @ X24 ) ) )
        | ! [X25: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X25 )
              | ( c2_1 @ X25 )
              | ~ ( c0_1 @ X25 ) ) ) )
      & ( ! [X26: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X26 )
              | ( c3_1 @ X26 )
              | ~ ( c1_1 @ X26 ) ) )
        | ! [X27: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X27 )
              | ~ ( c1_1 @ X27 )
              | ~ ( c3_1 @ X27 ) ) )
        | hskp11 )
      & ( ! [X28: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X28 )
              | ( c3_1 @ X28 )
              | ~ ( c1_1 @ X28 ) ) )
        | ! [X29: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X29 )
              | ~ ( c2_1 @ X29 )
              | ~ ( c3_1 @ X29 ) ) )
        | hskp27 )
      & ( ! [X30: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X30 )
              | ( c3_1 @ X30 )
              | ~ ( c1_1 @ X30 ) ) )
        | ! [X31: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X31 )
              | ~ ( c1_1 @ X31 )
              | ~ ( c3_1 @ X31 ) ) )
        | hskp6 )
      & ( ! [X32: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X32 )
              | ( c3_1 @ X32 )
              | ~ ( c1_1 @ X32 ) ) )
        | hskp12
        | hskp13 )
      & ( ! [X33: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X33 )
              | ( c3_1 @ X33 )
              | ~ ( c2_1 @ X33 ) ) )
        | hskp6
        | hskp3 )
      & ( ! [X34: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X34 )
              | ~ ( c1_1 @ X34 )
              | ~ ( c2_1 @ X34 ) ) )
        | ! [X35: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X35 )
              | ~ ( c2_1 @ X35 )
              | ~ ( c3_1 @ X35 ) ) )
        | ! [X36: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X36 )
              | ~ ( c1_1 @ X36 )
              | ~ ( c2_1 @ X36 ) ) ) )
      & ( ! [X37: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X37 )
              | ~ ( c1_1 @ X37 )
              | ~ ( c2_1 @ X37 ) ) )
        | ! [X38: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X38 )
              | ~ ( c2_1 @ X38 )
              | ~ ( c3_1 @ X38 ) ) )
        | ! [X39: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X39 )
              | ~ ( c2_1 @ X39 )
              | ~ ( c3_1 @ X39 ) ) ) )
      & ( ! [X40: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X40 )
              | ~ ( c1_1 @ X40 )
              | ~ ( c3_1 @ X40 ) ) )
        | ! [X41: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X41 )
              | ( c3_1 @ X41 )
              | ~ ( c0_1 @ X41 ) ) )
        | ! [X42: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X42 )
              | ~ ( c0_1 @ X42 )
              | ~ ( c1_1 @ X42 ) ) ) )
      & ( ! [X43: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X43 )
              | ~ ( c2_1 @ X43 )
              | ~ ( c3_1 @ X43 ) ) )
        | ! [X44: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X44 )
              | ( c3_1 @ X44 )
              | ~ ( c0_1 @ X44 ) ) )
        | hskp7 )
      & ( ! [X45: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X45 )
              | ~ ( c2_1 @ X45 )
              | ~ ( c3_1 @ X45 ) ) )
        | hskp14
        | hskp4 )
      & ( ! [X46: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X46 )
              | ~ ( c2_1 @ X46 )
              | ~ ( c3_1 @ X46 ) ) )
        | hskp15
        | hskp9 )
      & ( ! [X47: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X47 )
              | ( c2_1 @ X47 )
              | ( c3_1 @ X47 ) ) )
        | ! [X48: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X48 )
              | ( c2_1 @ X48 )
              | ~ ( c3_1 @ X48 ) ) )
        | hskp4 )
      & ( ! [X49: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X49 )
              | ( c2_1 @ X49 )
              | ~ ( c0_1 @ X49 ) ) )
        | ! [X50: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X50 )
              | ( c3_1 @ X50 )
              | ~ ( c0_1 @ X50 ) ) )
        | hskp12 )
      & ( ! [X51: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X51 )
              | ( c2_1 @ X51 )
              | ~ ( c3_1 @ X51 ) ) )
        | hskp28
        | hskp16 )
      & ( ! [X52: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X52 )
              | ( c3_1 @ X52 )
              | ~ ( c0_1 @ X52 ) ) )
        | ! [X53: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X53 )
              | ~ ( c0_1 @ X53 )
              | ~ ( c2_1 @ X53 ) ) )
        | ! [X54: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X54 )
              | ~ ( c0_1 @ X54 )
              | ~ ( c2_1 @ X54 ) ) ) )
      & ( ! [X55: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X55 )
              | ( c3_1 @ X55 )
              | ~ ( c0_1 @ X55 ) ) )
        | ! [X56: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X56 )
              | ~ ( c1_1 @ X56 )
              | ~ ( c2_1 @ X56 ) ) )
        | hskp7 )
      & ( ! [X57: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X57 )
              | ( c3_1 @ X57 )
              | ~ ( c2_1 @ X57 ) ) )
        | ! [X58: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X58 )
              | ~ ( c2_1 @ X58 )
              | ~ ( c3_1 @ X58 ) ) )
        | ! [X59: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X59 )
              | ~ ( c0_1 @ X59 )
              | ~ ( c1_1 @ X59 ) ) ) )
      & ( ! [X60: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X60 )
              | ~ ( c0_1 @ X60 )
              | ~ ( c3_1 @ X60 ) ) )
        | hskp28
        | hskp17 )
      & ( ! [X61: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X61 )
              | ~ ( c0_1 @ X61 )
              | ~ ( c3_1 @ X61 ) ) )
        | hskp18
        | hskp4 )
      & ( ! [X62: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X62 )
              | ~ ( c2_1 @ X62 )
              | ~ ( c3_1 @ X62 ) ) )
        | ! [X63: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X63 )
              | ~ ( c0_1 @ X63 )
              | ~ ( c1_1 @ X63 ) ) )
        | hskp9 )
      & ( ! [X64: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X64 )
              | ~ ( c2_1 @ X64 )
              | ~ ( c3_1 @ X64 ) ) )
        | hskp17
        | hskp7 )
      & ( ! [X65: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X65 )
              | ~ ( c2_1 @ X65 )
              | ~ ( c3_1 @ X65 ) ) )
        | hskp17
        | hskp19 )
      & ( ! [X66: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X66 )
              | ( c3_1 @ X66 )
              | ~ ( c0_1 @ X66 ) ) )
        | ! [X67: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X67 )
              | ~ ( c0_1 @ X67 )
              | ~ ( c2_1 @ X67 ) ) ) )
      & ( ! [X68: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X68 )
              | ( c3_1 @ X68 )
              | ~ ( c0_1 @ X68 ) ) )
        | ! [X69: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X69 )
              | ~ ( c2_1 @ X69 )
              | ~ ( c3_1 @ X69 ) ) )
        | hskp11 )
      & ( ! [X70: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X70 )
              | ( c3_1 @ X70 )
              | ~ ( c0_1 @ X70 ) ) )
        | hskp8
        | hskp19 )
      & ( ! [X71: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X71 )
              | ( c3_1 @ X71 )
              | ~ ( c0_1 @ X71 ) ) )
        | hskp20
        | hskp5 )
      & ( ! [X72: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X72 )
              | ( c3_1 @ X72 )
              | ~ ( c1_1 @ X72 ) ) )
        | hskp29
        | hskp5 )
      & ( ! [X73: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X73 )
              | ~ ( c0_1 @ X73 )
              | ~ ( c3_1 @ X73 ) ) )
        | hskp11
        | hskp21 )
      & ( ! [X74: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X74 )
              | ~ ( c0_1 @ X74 )
              | ~ ( c3_1 @ X74 ) ) )
        | hskp20
        | hskp22 )
      & ( ! [X75: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X75 )
              | ~ ( c0_1 @ X75 )
              | ~ ( c3_1 @ X75 ) ) )
        | hskp5
        | hskp23 )
      & ( ! [X76: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X76 )
              | ~ ( c1_1 @ X76 )
              | ~ ( c3_1 @ X76 ) ) )
        | ! [X77: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X77 )
              | ~ ( c2_1 @ X77 )
              | ~ ( c3_1 @ X77 ) ) )
        | hskp8 )
      & ( ! [X78: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X78 )
              | ~ ( c1_1 @ X78 )
              | ~ ( c3_1 @ X78 ) ) )
        | hskp2
        | hskp24 )
      & ( ! [X79: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X79 )
              | ~ ( c1_1 @ X79 )
              | ~ ( c3_1 @ X79 ) ) )
        | hskp3
        | hskp15 )
      & ( ! [X80: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X80 )
              | ~ ( c0_1 @ X80 )
              | ~ ( c2_1 @ X80 ) ) )
        | hskp1
        | hskp29 )
      & ( ! [X81: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X81 )
              | ~ ( c0_1 @ X81 )
              | ~ ( c2_1 @ X81 ) ) )
        | hskp12
        | hskp20 )
      & ( ! [X82: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X82 )
              | ~ ( c0_1 @ X82 )
              | ~ ( c2_1 @ X82 ) ) )
        | hskp15
        | hskp9 )
      & ( ! [X83: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X83 )
              | ~ ( c1_1 @ X83 )
              | ~ ( c2_1 @ X83 ) ) )
        | hskp10
        | hskp29 )
      & ( ! [X84: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X84 )
              | ~ ( c1_1 @ X84 )
              | ~ ( c2_1 @ X84 ) ) )
        | hskp23
        | hskp25 )
      & ( hskp18
        | hskp1
        | hskp7 )
      & ( hskp18
        | hskp2
        | hskp20 )
      & ( hskp1
        | hskp14
        | hskp17 )
      & ( hskp2
        | hskp22
        | hskp19 )
      & ( hskp20
        | hskp24
        | hskp0 )
      & ( hskp24
        | hskp14
        | hskp17 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( ~ hskp0
      | ( ndr1_0
        & ( c2_1 @ a641 )
        & ( c3_1 @ a641 )
        & ~ ( c1_1 @ a641 ) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ( c0_1 @ a642 )
        & ( c3_1 @ a642 )
        & ~ ( c1_1 @ a642 ) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ( c1_1 @ a643 )
        & ( c2_1 @ a643 )
        & ~ ( c0_1 @ a643 ) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ( c1_1 @ a645 )
        & ( c3_1 @ a645 )
        & ~ ( c2_1 @ a645 ) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ~ ( c1_1 @ a646 )
        & ~ ( c2_1 @ a646 )
        & ~ ( c3_1 @ a646 ) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ( c1_1 @ a647 )
        & ~ ( c0_1 @ a647 )
        & ~ ( c3_1 @ a647 ) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ( c0_1 @ a648 )
        & ~ ( c2_1 @ a648 )
        & ~ ( c3_1 @ a648 ) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & ( c3_1 @ a651 )
        & ~ ( c0_1 @ a651 )
        & ~ ( c1_1 @ a651 ) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ( c0_1 @ a652 )
        & ( c3_1 @ a652 )
        & ~ ( c2_1 @ a652 ) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ~ ( c0_1 @ a654 )
        & ~ ( c1_1 @ a654 )
        & ~ ( c2_1 @ a654 ) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ( c0_1 @ a656 )
        & ( c2_1 @ a656 )
        & ~ ( c1_1 @ a656 ) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ( c0_1 @ a657 )
        & ( c2_1 @ a657 )
        & ~ ( c3_1 @ a657 ) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ( c0_1 @ a660 )
        & ~ ( c1_1 @ a660 )
        & ~ ( c2_1 @ a660 ) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & ( c0_1 @ a661 )
        & ~ ( c1_1 @ a661 )
        & ~ ( c3_1 @ a661 ) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ( c2_1 @ a665 )
        & ~ ( c0_1 @ a665 )
        & ~ ( c1_1 @ a665 ) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & ( c3_1 @ a667 )
        & ~ ( c0_1 @ a667 )
        & ~ ( c2_1 @ a667 ) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & ( c1_1 @ a672 )
        & ~ ( c2_1 @ a672 )
        & ~ ( c3_1 @ a672 ) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ( c2_1 @ a675 )
        & ~ ( c1_1 @ a675 )
        & ~ ( c3_1 @ a675 ) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ( c0_1 @ a676 )
        & ( c1_1 @ a676 )
        & ~ ( c2_1 @ a676 ) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ( c3_1 @ a682 )
        & ~ ( c1_1 @ a682 )
        & ~ ( c2_1 @ a682 ) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ( c1_1 @ a686 )
        & ( c2_1 @ a686 )
        & ~ ( c3_1 @ a686 ) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & ~ ( c0_1 @ a691 )
        & ~ ( c1_1 @ a691 )
        & ~ ( c3_1 @ a691 ) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ( c2_1 @ a693 )
        & ( c3_1 @ a693 )
        & ~ ( c0_1 @ a693 ) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ( c2_1 @ a695 )
        & ~ ( c0_1 @ a695 )
        & ~ ( c3_1 @ a695 ) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ( c1_1 @ a698 )
        & ~ ( c0_1 @ a698 )
        & ~ ( c2_1 @ a698 ) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ~ ( c0_1 @ a710 )
        & ~ ( c2_1 @ a710 )
        & ~ ( c3_1 @ a710 ) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ( c0_1 @ a640 )
        & ( c1_1 @ a640 )
        & ( c3_1 @ a640 ) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ( c0_1 @ a655 )
        & ( c2_1 @ a655 )
        & ( c3_1 @ a655 ) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & ( c0_1 @ a671 )
        & ( c1_1 @ a671 )
        & ( c2_1 @ a671 ) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & ( c1_1 @ a688 )
        & ( c2_1 @ a688 )
        & ( c3_1 @ a688 ) ) )
    & ( ! [U: $i] :
          ( ndr1_0
         => ( ( c0_1 @ U )
            | ( c1_1 @ U )
            | ( c2_1 @ U ) ) )
      | hskp26
      | hskp0 )
    & ( ! [V: $i] :
          ( ndr1_0
         => ( ( c0_1 @ V )
            | ( c1_1 @ V )
            | ( c3_1 @ V ) ) )
      | ! [W: $i] :
          ( ndr1_0
         => ( ( c0_1 @ W )
            | ( c1_1 @ W )
            | ~ ( c2_1 @ W ) ) )
      | ! [X: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X )
            | ~ ( c0_1 @ X )
            | ~ ( c1_1 @ X ) ) ) )
    & ( ! [Y: $i] :
          ( ndr1_0
         => ( ( c0_1 @ Y )
            | ( c1_1 @ Y )
            | ( c3_1 @ Y ) ) )
      | ! [Z: $i] :
          ( ndr1_0
         => ( ( c0_1 @ Z )
            | ~ ( c2_1 @ Z )
            | ~ ( c3_1 @ Z ) ) )
      | hskp1 )
    & ( ! [X1: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X1 )
            | ( c1_1 @ X1 )
            | ( c3_1 @ X1 ) ) )
      | hskp2
      | hskp0 )
    & ( ! [X2: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X2 )
            | ( c1_1 @ X2 )
            | ( c3_1 @ X2 ) ) )
      | hskp3
      | hskp4 )
    & ( ! [X3: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X3 )
            | ( c1_1 @ X3 )
            | ~ ( c2_1 @ X3 ) ) )
      | ! [X4: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X4 )
            | ( c3_1 @ X4 )
            | ~ ( c2_1 @ X4 ) ) )
      | hskp5 )
    & ( ! [X5: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X5 )
            | ( c1_1 @ X5 )
            | ~ ( c2_1 @ X5 ) ) )
      | hskp6
      | hskp2 )
    & ( ! [X6: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X6 )
            | ( c1_1 @ X6 )
            | ~ ( c3_1 @ X6 ) ) )
      | ! [X7: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X7 )
            | ( c3_1 @ X7 )
            | ~ ( c1_1 @ X7 ) ) )
      | hskp2 )
    & ( ! [X8: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X8 )
            | ( c1_1 @ X8 )
            | ~ ( c3_1 @ X8 ) ) )
      | ! [X9: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X9 )
            | ~ ( c0_1 @ X9 )
            | ~ ( c3_1 @ X9 ) ) )
      | hskp7 )
    & ( ! [X10: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X10 )
            | ( c1_1 @ X10 )
            | ~ ( c3_1 @ X10 ) ) )
      | ! [X11: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X11 )
            | ~ ( c1_1 @ X11 )
            | ~ ( c2_1 @ X11 ) ) )
      | hskp8 )
    & ( ! [X12: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X12 )
            | ( c1_1 @ X12 )
            | ~ ( c3_1 @ X12 ) ) )
      | ! [X13: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X13 )
            | ~ ( c2_1 @ X13 )
            | ~ ( c3_1 @ X13 ) ) )
      | hskp3 )
    & ( ! [X14: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X14 )
            | ( c2_1 @ X14 )
            | ( c3_1 @ X14 ) ) )
      | ! [X15: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X15 )
            | ( c2_1 @ X15 )
            | ( c3_1 @ X15 ) ) )
      | ! [X16: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X16 )
            | ~ ( c1_1 @ X16 )
            | ~ ( c3_1 @ X16 ) ) ) )
    & ( ! [X17: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X17 )
            | ( c2_1 @ X17 )
            | ( c3_1 @ X17 ) ) )
      | ! [X18: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X18 )
            | ( c3_1 @ X18 )
            | ~ ( c2_1 @ X18 ) ) )
      | hskp9 )
    & ( ! [X19: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X19 )
            | ( c2_1 @ X19 )
            | ~ ( c3_1 @ X19 ) ) )
      | ! [X20: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X20 )
            | ( c2_1 @ X20 )
            | ~ ( c3_1 @ X20 ) ) )
      | hskp27 )
    & ( ! [X21: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X21 )
            | ( c2_1 @ X21 )
            | ~ ( c3_1 @ X21 ) ) )
      | ! [X22: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X22 )
            | ~ ( c0_1 @ X22 )
            | ~ ( c1_1 @ X22 ) ) )
      | hskp10 )
    & ( ! [X23: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X23 )
            | ( c3_1 @ X23 )
            | ~ ( c1_1 @ X23 ) ) )
      | ! [X24: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X24 )
            | ~ ( c1_1 @ X24 )
            | ~ ( c2_1 @ X24 ) ) )
      | ! [X25: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X25 )
            | ( c2_1 @ X25 )
            | ~ ( c0_1 @ X25 ) ) ) )
    & ( ! [X26: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X26 )
            | ( c3_1 @ X26 )
            | ~ ( c1_1 @ X26 ) ) )
      | ! [X27: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X27 )
            | ~ ( c1_1 @ X27 )
            | ~ ( c3_1 @ X27 ) ) )
      | hskp11 )
    & ( ! [X28: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X28 )
            | ( c3_1 @ X28 )
            | ~ ( c1_1 @ X28 ) ) )
      | ! [X29: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X29 )
            | ~ ( c2_1 @ X29 )
            | ~ ( c3_1 @ X29 ) ) )
      | hskp27 )
    & ( ! [X30: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X30 )
            | ( c3_1 @ X30 )
            | ~ ( c1_1 @ X30 ) ) )
      | ! [X31: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X31 )
            | ~ ( c1_1 @ X31 )
            | ~ ( c3_1 @ X31 ) ) )
      | hskp6 )
    & ( ! [X32: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X32 )
            | ( c3_1 @ X32 )
            | ~ ( c1_1 @ X32 ) ) )
      | hskp12
      | hskp13 )
    & ( ! [X33: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X33 )
            | ( c3_1 @ X33 )
            | ~ ( c2_1 @ X33 ) ) )
      | hskp6
      | hskp3 )
    & ( ! [X34: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X34 )
            | ~ ( c1_1 @ X34 )
            | ~ ( c2_1 @ X34 ) ) )
      | ! [X35: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X35 )
            | ~ ( c2_1 @ X35 )
            | ~ ( c3_1 @ X35 ) ) )
      | ! [X36: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X36 )
            | ~ ( c1_1 @ X36 )
            | ~ ( c2_1 @ X36 ) ) ) )
    & ( ! [X37: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X37 )
            | ~ ( c1_1 @ X37 )
            | ~ ( c2_1 @ X37 ) ) )
      | ! [X38: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X38 )
            | ~ ( c2_1 @ X38 )
            | ~ ( c3_1 @ X38 ) ) )
      | ! [X39: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X39 )
            | ~ ( c2_1 @ X39 )
            | ~ ( c3_1 @ X39 ) ) ) )
    & ( ! [X40: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X40 )
            | ~ ( c1_1 @ X40 )
            | ~ ( c3_1 @ X40 ) ) )
      | ! [X41: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X41 )
            | ( c3_1 @ X41 )
            | ~ ( c0_1 @ X41 ) ) )
      | ! [X42: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X42 )
            | ~ ( c0_1 @ X42 )
            | ~ ( c1_1 @ X42 ) ) ) )
    & ( ! [X43: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X43 )
            | ~ ( c2_1 @ X43 )
            | ~ ( c3_1 @ X43 ) ) )
      | ! [X44: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X44 )
            | ( c3_1 @ X44 )
            | ~ ( c0_1 @ X44 ) ) )
      | hskp7 )
    & ( ! [X45: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X45 )
            | ~ ( c2_1 @ X45 )
            | ~ ( c3_1 @ X45 ) ) )
      | hskp14
      | hskp4 )
    & ( ! [X46: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X46 )
            | ~ ( c2_1 @ X46 )
            | ~ ( c3_1 @ X46 ) ) )
      | hskp15
      | hskp9 )
    & ( ! [X47: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X47 )
            | ( c2_1 @ X47 )
            | ( c3_1 @ X47 ) ) )
      | ! [X48: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X48 )
            | ( c2_1 @ X48 )
            | ~ ( c3_1 @ X48 ) ) )
      | hskp4 )
    & ( ! [X49: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X49 )
            | ( c2_1 @ X49 )
            | ~ ( c0_1 @ X49 ) ) )
      | ! [X50: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X50 )
            | ( c3_1 @ X50 )
            | ~ ( c0_1 @ X50 ) ) )
      | hskp12 )
    & ( ! [X51: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X51 )
            | ( c2_1 @ X51 )
            | ~ ( c3_1 @ X51 ) ) )
      | hskp28
      | hskp16 )
    & ( ! [X52: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X52 )
            | ( c3_1 @ X52 )
            | ~ ( c0_1 @ X52 ) ) )
      | ! [X53: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X53 )
            | ~ ( c0_1 @ X53 )
            | ~ ( c2_1 @ X53 ) ) )
      | ! [X54: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X54 )
            | ~ ( c0_1 @ X54 )
            | ~ ( c2_1 @ X54 ) ) ) )
    & ( ! [X55: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X55 )
            | ( c3_1 @ X55 )
            | ~ ( c0_1 @ X55 ) ) )
      | ! [X56: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X56 )
            | ~ ( c1_1 @ X56 )
            | ~ ( c2_1 @ X56 ) ) )
      | hskp7 )
    & ( ! [X57: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X57 )
            | ( c3_1 @ X57 )
            | ~ ( c2_1 @ X57 ) ) )
      | ! [X58: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X58 )
            | ~ ( c2_1 @ X58 )
            | ~ ( c3_1 @ X58 ) ) )
      | ! [X59: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X59 )
            | ~ ( c0_1 @ X59 )
            | ~ ( c1_1 @ X59 ) ) ) )
    & ( ! [X60: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X60 )
            | ~ ( c0_1 @ X60 )
            | ~ ( c3_1 @ X60 ) ) )
      | hskp28
      | hskp17 )
    & ( ! [X61: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X61 )
            | ~ ( c0_1 @ X61 )
            | ~ ( c3_1 @ X61 ) ) )
      | hskp18
      | hskp4 )
    & ( ! [X62: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X62 )
            | ~ ( c2_1 @ X62 )
            | ~ ( c3_1 @ X62 ) ) )
      | ! [X63: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X63 )
            | ~ ( c0_1 @ X63 )
            | ~ ( c1_1 @ X63 ) ) )
      | hskp9 )
    & ( ! [X64: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X64 )
            | ~ ( c2_1 @ X64 )
            | ~ ( c3_1 @ X64 ) ) )
      | hskp17
      | hskp7 )
    & ( ! [X65: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X65 )
            | ~ ( c2_1 @ X65 )
            | ~ ( c3_1 @ X65 ) ) )
      | hskp17
      | hskp19 )
    & ( ! [X66: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X66 )
            | ( c3_1 @ X66 )
            | ~ ( c0_1 @ X66 ) ) )
      | ! [X67: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X67 )
            | ~ ( c0_1 @ X67 )
            | ~ ( c2_1 @ X67 ) ) ) )
    & ( ! [X68: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X68 )
            | ( c3_1 @ X68 )
            | ~ ( c0_1 @ X68 ) ) )
      | ! [X69: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X69 )
            | ~ ( c2_1 @ X69 )
            | ~ ( c3_1 @ X69 ) ) )
      | hskp11 )
    & ( ! [X70: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X70 )
            | ( c3_1 @ X70 )
            | ~ ( c0_1 @ X70 ) ) )
      | hskp8
      | hskp19 )
    & ( ! [X71: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X71 )
            | ( c3_1 @ X71 )
            | ~ ( c0_1 @ X71 ) ) )
      | hskp20
      | hskp5 )
    & ( ! [X72: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X72 )
            | ( c3_1 @ X72 )
            | ~ ( c1_1 @ X72 ) ) )
      | hskp29
      | hskp5 )
    & ( ! [X73: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X73 )
            | ~ ( c0_1 @ X73 )
            | ~ ( c3_1 @ X73 ) ) )
      | hskp11
      | hskp21 )
    & ( ! [X74: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X74 )
            | ~ ( c0_1 @ X74 )
            | ~ ( c3_1 @ X74 ) ) )
      | hskp20
      | hskp22 )
    & ( ! [X75: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X75 )
            | ~ ( c0_1 @ X75 )
            | ~ ( c3_1 @ X75 ) ) )
      | hskp5
      | hskp23 )
    & ( ! [X76: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X76 )
            | ~ ( c1_1 @ X76 )
            | ~ ( c3_1 @ X76 ) ) )
      | ! [X77: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X77 )
            | ~ ( c2_1 @ X77 )
            | ~ ( c3_1 @ X77 ) ) )
      | hskp8 )
    & ( ! [X78: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X78 )
            | ~ ( c1_1 @ X78 )
            | ~ ( c3_1 @ X78 ) ) )
      | hskp2
      | hskp24 )
    & ( ! [X79: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X79 )
            | ~ ( c1_1 @ X79 )
            | ~ ( c3_1 @ X79 ) ) )
      | hskp3
      | hskp15 )
    & ( ! [X80: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X80 )
            | ~ ( c0_1 @ X80 )
            | ~ ( c2_1 @ X80 ) ) )
      | hskp1
      | hskp29 )
    & ( ! [X81: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X81 )
            | ~ ( c0_1 @ X81 )
            | ~ ( c2_1 @ X81 ) ) )
      | hskp12
      | hskp20 )
    & ( ! [X82: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X82 )
            | ~ ( c0_1 @ X82 )
            | ~ ( c2_1 @ X82 ) ) )
      | hskp15
      | hskp9 )
    & ( ! [X83: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X83 )
            | ~ ( c1_1 @ X83 )
            | ~ ( c2_1 @ X83 ) ) )
      | hskp10
      | hskp29 )
    & ( ! [X84: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X84 )
            | ~ ( c1_1 @ X84 )
            | ~ ( c2_1 @ X84 ) ) )
      | hskp23
      | hskp25 )
    & ( hskp18
      | hskp1
      | hskp7 )
    & ( hskp18
      | hskp2
      | hskp20 )
    & ( hskp1
      | hskp14
      | hskp17 )
    & ( hskp2
      | hskp22
      | hskp19 )
    & ( hskp20
      | hskp24
      | hskp0 )
    & ( hskp24
      | hskp14
      | hskp17 ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl47,plain,
    ! [X66: $i,X67: $i] :
      ( ( c0_1 @ X66 )
      | ( c2_1 @ X66 )
      | ( c3_1 @ X66 )
      | ~ ndr1_0
      | ( c1_1 @ X67 )
      | ( c3_1 @ X67 )
      | ~ ( c2_1 @ X67 )
      | ~ ndr1_0
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl362,plain,
    ( ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ( c2_1 @ X66 )
        | ( c3_1 @ X66 ) )
   <= ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ( c2_1 @ X66 )
        | ( c3_1 @ X66 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(zip_derived_cl158,plain,
    ( ~ hskp5
    | ~ ( c0_1 @ a647 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl609,plain,
    ( ~ ( c0_1 @ a647 )
   <= ~ ( c0_1 @ a647 ) ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl1635,plain,
    ( ( ( c3_1 @ a647 )
      | ( c2_1 @ a647 ) )
   <= ( ~ ( c0_1 @ a647 )
      & ! [X66: $i] :
          ( ( c0_1 @ X66 )
          | ( c2_1 @ X66 )
          | ( c3_1 @ X66 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl362,zip_derived_cl609]) ).

thf('0',plain,
    ( ~ ! [X66: $i] :
          ( ( c0_1 @ X66 )
          | ( c2_1 @ X66 )
          | ( c3_1 @ X66 ) )
    | ( c0_1 @ a647 )
    | ( c3_1 @ a647 )
    | ( c2_1 @ a647 ) ),
    inference(split,[status(esa)],[zip_derived_cl1635]) ).

thf(zip_derived_cl163,plain,
    ( ~ hskp4
    | ~ ( c3_1 @ a646 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('1',plain,
    ( ~ ( c3_1 @ a646 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl162,plain,
    ( ~ hskp4
    | ~ ( c2_1 @ a646 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('2',plain,
    ( ~ ( c2_1 @ a646 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf(zip_derived_cl129,plain,
    ( ~ hskp12
    | ( c0_1 @ a660 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl551,plain,
    ( ( c0_1 @ a660 )
   <= ( c0_1 @ a660 ) ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf(zip_derived_cl25,plain,
    ! [X23: $i] :
      ( ( c1_1 @ X23 )
      | ~ ( c0_1 @ X23 )
      | ~ ( c3_1 @ X23 )
      | ~ ndr1_0
      | hskp18
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl273,plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl993,plain,
    ( ( ( c1_1 @ a660 )
      | ~ ( c3_1 @ a660 ) )
   <= ( ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
      & ( c0_1 @ a660 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl551,zip_derived_cl273]) ).

thf('3',plain,
    ( ~ ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
    | ~ ( c3_1 @ a660 )
    | ~ ( c0_1 @ a660 )
    | ( c1_1 @ a660 ) ),
    inference(split,[status(esa)],[zip_derived_cl993]) ).

thf(zip_derived_cl106,plain,
    ( ~ hskp18
    | ( c1_1 @ a676 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl505,plain,
    ( ( c1_1 @ a676 )
   <= ( c1_1 @ a676 ) ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(zip_derived_cl11,plain,
    ! [X5: $i] :
      ( ( c2_1 @ X5 )
      | ~ ( c1_1 @ X5 )
      | ~ ( c3_1 @ X5 )
      | ~ ndr1_0
      | hskp3
      | hskp15 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl218,plain,
    ( ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c3_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c3_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl931,plain,
    ( ( ( c2_1 @ a676 )
      | ~ ( c3_1 @ a676 ) )
   <= ( ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
      & ( c1_1 @ a676 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl505,zip_derived_cl218]) ).

thf('4',plain,
    ( ~ ( c1_1 @ a676 )
    | ( c2_1 @ a676 )
    | ~ ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
    | ~ ( c3_1 @ a676 ) ),
    inference(split,[status(esa)],[zip_derived_cl931]) ).

thf('5',plain,
    ( hskp4
    | hskp18
    | ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl161,plain,
    ( ~ hskp4
    | ~ ( c1_1 @ a646 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('6',plain,
    ( ~ ( c1_1 @ a646 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl32,plain,
    ! [X36: $i,X37: $i] :
      ( ( c1_1 @ X36 )
      | ( c2_1 @ X36 )
      | ( c3_1 @ X36 )
      | ~ ndr1_0
      | ( c1_1 @ X37 )
      | ( c2_1 @ X37 )
      | ~ ( c3_1 @ X37 )
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl302,plain,
    ( ! [X36: $i] :
        ( ( c1_1 @ X36 )
        | ( c2_1 @ X36 )
        | ( c3_1 @ X36 ) )
   <= ! [X36: $i] :
        ( ( c1_1 @ X36 )
        | ( c2_1 @ X36 )
        | ( c3_1 @ X36 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl615,plain,
    ( ~ ( c1_1 @ a646 )
   <= ~ ( c1_1 @ a646 ) ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl1352,plain,
    ( ( ( c3_1 @ a646 )
      | ( c2_1 @ a646 ) )
   <= ( ~ ( c1_1 @ a646 )
      & ! [X36: $i] :
          ( ( c1_1 @ X36 )
          | ( c2_1 @ X36 )
          | ( c3_1 @ X36 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl302,zip_derived_cl615]) ).

thf('7',plain,
    ( ~ ! [X36: $i] :
          ( ( c1_1 @ X36 )
          | ( c2_1 @ X36 )
          | ( c3_1 @ X36 ) )
    | ( c1_1 @ a646 )
    | ( c2_1 @ a646 )
    | ( c3_1 @ a646 ) ),
    inference(split,[status(esa)],[zip_derived_cl1352]) ).

thf(zip_derived_cl48,plain,
    ! [X68: $i,X69: $i,X70: $i] :
      ( ( c0_1 @ X68 )
      | ( c2_1 @ X68 )
      | ( c3_1 @ X68 )
      | ~ ndr1_0
      | ( c1_1 @ X69 )
      | ( c2_1 @ X69 )
      | ( c3_1 @ X69 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X70 )
      | ~ ( c1_1 @ X70 )
      | ~ ( c3_1 @ X70 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('8',plain,
    ( ! [X70: $i] :
        ( ~ ( c0_1 @ X70 )
        | ~ ( c1_1 @ X70 )
        | ~ ( c3_1 @ X70 ) )
    | ! [X36: $i] :
        ( ( c1_1 @ X36 )
        | ( c2_1 @ X36 )
        | ( c3_1 @ X36 ) )
    | ~ ndr1_0
    | ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ( c2_1 @ X66 )
        | ( c3_1 @ X66 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl130,plain,
    ( ~ hskp12
    | ~ ( c1_1 @ a660 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('9',plain,
    ( ~ ( c1_1 @ a660 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(zip_derived_cl36,plain,
    ! [X42: $i,X43: $i,X44: $i] :
      ( ( c0_1 @ X42 )
      | ~ ( c1_1 @ X42 )
      | ~ ( c3_1 @ X42 )
      | ~ ndr1_0
      | ( c1_1 @ X43 )
      | ( c3_1 @ X43 )
      | ~ ( c0_1 @ X43 )
      | ~ ndr1_0
      | ( c2_1 @ X44 )
      | ~ ( c0_1 @ X44 )
      | ~ ( c1_1 @ X44 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl319,plain,
    ( ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c3_1 @ X42 ) )
   <= ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c3_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl86,plain,
    ( ~ hskp23
    | ~ ( c0_1 @ a695 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl465,plain,
    ( ~ ( c0_1 @ a695 )
   <= ~ ( c0_1 @ a695 ) ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf(zip_derived_cl1256,plain,
    ( ( ~ ( c3_1 @ a695 )
      | ~ ( c1_1 @ a695 ) )
   <= ( ~ ( c0_1 @ a695 )
      & ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ~ ( c1_1 @ X42 )
          | ~ ( c3_1 @ X42 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl319,zip_derived_cl465]) ).

thf(zip_derived_cl1727,plain,
    ( ~ ( c1_1 @ a695 )
   <= ~ ( c1_1 @ a695 ) ),
    inference(split,[status(esa)],[zip_derived_cl1256]) ).

thf(zip_derived_cl27,plain,
    ! [X25: $i,X26: $i,X27: $i] :
      ( ( c1_1 @ X25 )
      | ( c3_1 @ X25 )
      | ~ ( c2_1 @ X25 )
      | ~ ndr1_0
      | ( c1_1 @ X26 )
      | ~ ( c2_1 @ X26 )
      | ~ ( c3_1 @ X26 )
      | ~ ndr1_0
      | ( c2_1 @ X27 )
      | ~ ( c0_1 @ X27 )
      | ~ ( c1_1 @ X27 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl283,plain,
    ( ! [X25: $i] :
        ( ( c1_1 @ X25 )
        | ( c3_1 @ X25 )
        | ~ ( c2_1 @ X25 ) )
   <= ! [X25: $i] :
        ( ( c1_1 @ X25 )
        | ( c3_1 @ X25 )
        | ~ ( c2_1 @ X25 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl1730,plain,
    ( ( ( c3_1 @ a695 )
      | ~ ( c2_1 @ a695 ) )
   <= ( ~ ( c1_1 @ a695 )
      & ! [X25: $i] :
          ( ( c1_1 @ X25 )
          | ( c3_1 @ X25 )
          | ~ ( c2_1 @ X25 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1727,zip_derived_cl283]) ).

thf('10',plain,
    ( ( c1_1 @ a695 )
    | ( c3_1 @ a695 )
    | ~ ! [X25: $i] :
          ( ( c1_1 @ X25 )
          | ( c3_1 @ X25 )
          | ~ ( c2_1 @ X25 ) )
    | ~ ( c2_1 @ a695 ) ),
    inference(split,[status(esa)],[zip_derived_cl1730]) ).

thf(zip_derived_cl40,plain,
    ! [X52: $i] :
      ( ( c0_1 @ X52 )
      | ( c3_1 @ X52 )
      | ~ ( c1_1 @ X52 )
      | ~ ndr1_0
      | hskp12
      | hskp13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl333,plain,
    ( ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ( c3_1 @ X52 )
        | ~ ( c1_1 @ X52 ) )
   <= ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ( c3_1 @ X52 )
        | ~ ( c1_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl465_001,plain,
    ( ~ ( c0_1 @ a695 )
   <= ~ ( c0_1 @ a695 ) ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf(zip_derived_cl1476,plain,
    ( ( ~ ( c1_1 @ a695 )
      | ( c3_1 @ a695 ) )
   <= ( ~ ( c0_1 @ a695 )
      & ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ( c3_1 @ X52 )
          | ~ ( c1_1 @ X52 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl333,zip_derived_cl465]) ).

thf('11',plain,
    ( ~ ( c1_1 @ a695 )
    | ( c0_1 @ a695 )
    | ~ ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ( c3_1 @ X52 )
          | ~ ( c1_1 @ X52 ) )
    | ( c3_1 @ a695 ) ),
    inference(split,[status(esa)],[zip_derived_cl1476]) ).

thf(zip_derived_cl22,plain,
    ! [X19: $i] :
      ( ( c1_1 @ X19 )
      | ~ ( c2_1 @ X19 )
      | ~ ( c3_1 @ X19 )
      | ~ ndr1_0
      | hskp17
      | hskp19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl261,plain,
    ( ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c2_1 @ X19 )
        | ~ ( c3_1 @ X19 ) )
   <= ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c2_1 @ X19 )
        | ~ ( c3_1 @ X19 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl175,plain,
    ( ~ hskp1
    | ~ ( c1_1 @ a642 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl643,plain,
    ( ~ ( c1_1 @ a642 )
   <= ~ ( c1_1 @ a642 ) ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl719,plain,
    ( ( ~ ( c3_1 @ a642 )
      | ~ ( c2_1 @ a642 ) )
   <= ( ~ ( c1_1 @ a642 )
      & ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c2_1 @ X19 )
          | ~ ( c3_1 @ X19 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl261,zip_derived_cl643]) ).

thf('12',plain,
    ( ~ ( c2_1 @ a642 )
    | ~ ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c2_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
    | ~ ( c3_1 @ a642 )
    | ( c1_1 @ a642 ) ),
    inference(split,[status(esa)],[zip_derived_cl719]) ).

thf(zip_derived_cl173,plain,
    ( ~ hskp1
    | ( c0_1 @ a642 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('13',plain,
    ( ( c0_1 @ a642 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl173]) ).

thf(zip_derived_cl174,plain,
    ( ~ hskp1
    | ( c3_1 @ a642 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('14',plain,
    ( ( c3_1 @ a642 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf('15',plain,
    ( ~ ( c1_1 @ a642 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl5,plain,
    ( hskp18
    | hskp1
    | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('16',plain,
    ( hskp1
    | hskp18
    | hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl49,plain,
    ! [X71: $i,X72: $i] :
      ( ( c0_1 @ X71 )
      | ( c1_1 @ X71 )
      | ~ ( c3_1 @ X71 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X72 )
      | ~ ( c2_1 @ X72 )
      | ~ ( c3_1 @ X72 )
      | ~ ndr1_0
      | hskp3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('17',plain,
    ( ! [X71: $i] :
        ( ( c0_1 @ X71 )
        | ( c1_1 @ X71 )
        | ~ ( c3_1 @ X71 ) )
    | hskp3
    | ~ ndr1_0
    | ! [X8: $i] :
        ( ~ ( c1_1 @ X8 )
        | ~ ( c2_1 @ X8 )
        | ~ ( c3_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl13,plain,
    ! [X7: $i,X8: $i] :
      ( ( c2_1 @ X7 )
      | ~ ( c1_1 @ X7 )
      | ~ ( c3_1 @ X7 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X8 )
      | ~ ( c2_1 @ X8 )
      | ~ ( c3_1 @ X8 )
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('18',plain,
    ( ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c3_1 @ X5 ) )
    | hskp8
    | ~ ndr1_0
    | ! [X8: $i] :
        ( ~ ( c1_1 @ X8 )
        | ~ ( c2_1 @ X8 )
        | ~ ( c3_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl20,plain,
    ! [X15: $i,X16: $i] :
      ( ( c2_1 @ X15 )
      | ( c3_1 @ X15 )
      | ~ ( c0_1 @ X15 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X16 )
      | ~ ( c2_1 @ X16 )
      | ~ ( c3_1 @ X16 )
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('19',plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c0_1 @ X13 ) )
    | ! [X8: $i] :
        ( ~ ( c1_1 @ X8 )
        | ~ ( c2_1 @ X8 )
        | ~ ( c3_1 @ X8 ) )
    | hskp11
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl639,plain,
    ( ( c0_1 @ a642 )
   <= ( c0_1 @ a642 ) ),
    inference(split,[status(esa)],[zip_derived_cl173]) ).

thf(zip_derived_cl14,plain,
    ! [X9: $i] :
      ( ( c2_1 @ X9 )
      | ~ ( c0_1 @ X9 )
      | ~ ( c3_1 @ X9 )
      | ~ ndr1_0
      | hskp5
      | hskp23 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl230,plain,
    ( ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c3_1 @ X9 ) )
   <= ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c3_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl1080,plain,
    ( ( ( c2_1 @ a642 )
      | ~ ( c3_1 @ a642 ) )
   <= ( ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
      & ( c0_1 @ a642 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl639,zip_derived_cl230]) ).

thf('20',plain,
    ( ~ ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
    | ( c2_1 @ a642 )
    | ~ ( c0_1 @ a642 )
    | ~ ( c3_1 @ a642 ) ),
    inference(split,[status(esa)],[zip_derived_cl1080]) ).

thf(zip_derived_cl37,plain,
    ! [X45: $i,X46: $i,X47: $i] :
      ( ( c0_1 @ X45 )
      | ~ ( c1_1 @ X45 )
      | ~ ( c2_1 @ X45 )
      | ~ ndr1_0
      | ( c1_1 @ X46 )
      | ~ ( c2_1 @ X46 )
      | ~ ( c3_1 @ X46 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X47 )
      | ~ ( c2_1 @ X47 )
      | ~ ( c3_1 @ X47 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('21',plain,
    ( ! [X45: $i] :
        ( ( c0_1 @ X45 )
        | ~ ( c1_1 @ X45 )
        | ~ ( c2_1 @ X45 ) )
    | ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c2_1 @ X19 )
        | ~ ( c3_1 @ X19 ) )
    | ! [X8: $i] :
        ( ~ ( c1_1 @ X8 )
        | ~ ( c2_1 @ X8 )
        | ~ ( c3_1 @ X8 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl319_002,plain,
    ( ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c3_1 @ X42 ) )
   <= ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c3_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl281,plain,
    ( ! [X27: $i] :
        ( ( c2_1 @ X27 )
        | ~ ( c0_1 @ X27 )
        | ~ ( c1_1 @ X27 ) )
   <= ! [X27: $i] :
        ( ( c2_1 @ X27 )
        | ~ ( c0_1 @ X27 )
        | ~ ( c1_1 @ X27 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl1243,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ( c2_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X27: $i] :
          ( ( c2_1 @ X27 )
          | ~ ( c0_1 @ X27 )
          | ~ ( c1_1 @ X27 ) )
      & ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ~ ( c1_1 @ X42 )
          | ~ ( c3_1 @ X42 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl319,zip_derived_cl281]) ).

thf(zip_derived_cl1276,plain,
    ( ! [X0: $i] :
        ( ( c2_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X27: $i] :
          ( ( c2_1 @ X27 )
          | ~ ( c0_1 @ X27 )
          | ~ ( c1_1 @ X27 ) )
      & ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ~ ( c1_1 @ X42 )
          | ~ ( c3_1 @ X42 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1243]) ).

thf(zip_derived_cl165,plain,
    ( ~ hskp3
    | ( c1_1 @ a645 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl623,plain,
    ( ( c1_1 @ a645 )
   <= ( c1_1 @ a645 ) ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl3140,plain,
    ( ( ~ ( c3_1 @ a645 )
      | ( c2_1 @ a645 ) )
   <= ( ! [X27: $i] :
          ( ( c2_1 @ X27 )
          | ~ ( c0_1 @ X27 )
          | ~ ( c1_1 @ X27 ) )
      & ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ~ ( c1_1 @ X42 )
          | ~ ( c3_1 @ X42 ) )
      & ( c1_1 @ a645 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1276,zip_derived_cl623]) ).

thf('22',plain,
    ( ~ ! [X27: $i] :
          ( ( c2_1 @ X27 )
          | ~ ( c0_1 @ X27 )
          | ~ ( c1_1 @ X27 ) )
    | ~ ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ~ ( c1_1 @ X42 )
          | ~ ( c3_1 @ X42 ) )
    | ~ ( c1_1 @ a645 )
    | ~ ( c3_1 @ a645 )
    | ( c2_1 @ a645 ) ),
    inference(split,[status(esa)],[zip_derived_cl3140]) ).

thf(zip_derived_cl81,plain,
    ( ~ hskp24
    | ( c1_1 @ a698 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl455,plain,
    ( ( c1_1 @ a698 )
   <= ( c1_1 @ a698 ) ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf(zip_derived_cl17,plain,
    ! [X12: $i] :
      ( ( c2_1 @ X12 )
      | ( c3_1 @ X12 )
      | ~ ( c1_1 @ X12 )
      | ~ ndr1_0
      | hskp29
      | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl242,plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c1_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c1_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl864,plain,
    ( ( ( c2_1 @ a698 )
      | ( c3_1 @ a698 ) )
   <= ( ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c3_1 @ X12 )
          | ~ ( c1_1 @ X12 ) )
      & ( c1_1 @ a698 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl455,zip_derived_cl242]) ).

thf('23',plain,
    ( ~ ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c3_1 @ X12 )
          | ~ ( c1_1 @ X12 ) )
    | ( c3_1 @ a698 )
    | ( c2_1 @ a698 )
    | ~ ( c1_1 @ a698 ) ),
    inference(split,[status(esa)],[zip_derived_cl864]) ).

thf(zip_derived_cl319_003,plain,
    ( ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c3_1 @ X42 ) )
   <= ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c3_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl82,plain,
    ( ~ hskp24
    | ~ ( c0_1 @ a698 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl457,plain,
    ( ~ ( c0_1 @ a698 )
   <= ~ ( c0_1 @ a698 ) ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl1257,plain,
    ( ( ~ ( c3_1 @ a698 )
      | ~ ( c1_1 @ a698 ) )
   <= ( ~ ( c0_1 @ a698 )
      & ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ~ ( c1_1 @ X42 )
          | ~ ( c3_1 @ X42 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl319,zip_derived_cl457]) ).

thf('24',plain,
    ( ~ ( c3_1 @ a698 )
    | ~ ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ~ ( c1_1 @ X42 )
          | ~ ( c3_1 @ X42 ) )
    | ~ ( c1_1 @ a698 )
    | ( c0_1 @ a698 ) ),
    inference(split,[status(esa)],[zip_derived_cl1257]) ).

thf(zip_derived_cl323,plain,
    ( ! [X45: $i] :
        ( ( c0_1 @ X45 )
        | ~ ( c1_1 @ X45 )
        | ~ ( c2_1 @ X45 ) )
   <= ! [X45: $i] :
        ( ( c0_1 @ X45 )
        | ~ ( c1_1 @ X45 )
        | ~ ( c2_1 @ X45 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl465_004,plain,
    ( ~ ( c0_1 @ a695 )
   <= ~ ( c0_1 @ a695 ) ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf(zip_derived_cl1309,plain,
    ( ( ~ ( c2_1 @ a695 )
      | ~ ( c1_1 @ a695 ) )
   <= ( ~ ( c0_1 @ a695 )
      & ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ~ ( c1_1 @ X45 )
          | ~ ( c2_1 @ X45 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl323,zip_derived_cl465]) ).

thf('25',plain,
    ( ~ ( c1_1 @ a695 )
    | ( c0_1 @ a695 )
    | ~ ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ~ ( c1_1 @ X45 )
          | ~ ( c2_1 @ X45 ) )
    | ~ ( c2_1 @ a695 ) ),
    inference(split,[status(esa)],[zip_derived_cl1309]) ).

thf(zip_derived_cl53,plain,
    ! [X79: $i] :
      ( ( c0_1 @ X79 )
      | ( c1_1 @ X79 )
      | ~ ( c2_1 @ X79 )
      | ~ ndr1_0
      | hskp6
      | hskp2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl385,plain,
    ( ! [X79: $i] :
        ( ( c0_1 @ X79 )
        | ( c1_1 @ X79 )
        | ~ ( c2_1 @ X79 ) )
   <= ! [X79: $i] :
        ( ( c0_1 @ X79 )
        | ( c1_1 @ X79 )
        | ~ ( c2_1 @ X79 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(zip_derived_cl465_005,plain,
    ( ~ ( c0_1 @ a695 )
   <= ~ ( c0_1 @ a695 ) ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf(zip_derived_cl1693,plain,
    ( ( ~ ( c2_1 @ a695 )
      | ( c1_1 @ a695 ) )
   <= ( ~ ( c0_1 @ a695 )
      & ! [X79: $i] :
          ( ( c0_1 @ X79 )
          | ( c1_1 @ X79 )
          | ~ ( c2_1 @ X79 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl385,zip_derived_cl465]) ).

thf('26',plain,
    ( ( c1_1 @ a695 )
    | ( c0_1 @ a695 )
    | ~ ! [X79: $i] :
          ( ( c0_1 @ X79 )
          | ( c1_1 @ X79 )
          | ~ ( c2_1 @ X79 ) )
    | ~ ( c2_1 @ a695 ) ),
    inference(split,[status(esa)],[zip_derived_cl1693]) ).

thf('27',plain,
    ( ! [X79: $i] :
        ( ( c0_1 @ X79 )
        | ( c1_1 @ X79 )
        | ~ ( c2_1 @ X79 ) )
    | hskp2
    | hskp6
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(zip_derived_cl69,plain,
    ( ~ hskp27
    | ( c0_1 @ a655 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl431,plain,
    ( ( c0_1 @ a655 )
   <= ( c0_1 @ a655 ) ),
    inference(split,[status(esa)],[zip_derived_cl69]) ).

thf(zip_derived_cl29,plain,
    ! [X30: $i,X31: $i,X32: $i] :
      ( ( c1_1 @ X30 )
      | ( c3_1 @ X30 )
      | ~ ( c0_1 @ X30 )
      | ~ ndr1_0
      | ( c1_1 @ X31 )
      | ~ ( c0_1 @ X31 )
      | ~ ( c2_1 @ X31 )
      | ~ ndr1_0
      | ( c3_1 @ X32 )
      | ~ ( c0_1 @ X32 )
      | ~ ( c2_1 @ X32 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl289,plain,
    ( ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ~ ( c0_1 @ X31 )
        | ~ ( c2_1 @ X31 ) )
   <= ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ~ ( c0_1 @ X31 )
        | ~ ( c2_1 @ X31 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl984,plain,
    ( ( ( c1_1 @ a655 )
      | ~ ( c2_1 @ a655 ) )
   <= ( ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ~ ( c0_1 @ X31 )
          | ~ ( c2_1 @ X31 ) )
      & ( c0_1 @ a655 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl431,zip_derived_cl289]) ).

thf('28',plain,
    ( ~ ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ~ ( c0_1 @ X31 )
          | ~ ( c2_1 @ X31 ) )
    | ( c1_1 @ a655 )
    | ~ ( c2_1 @ a655 )
    | ~ ( c0_1 @ a655 ) ),
    inference(split,[status(esa)],[zip_derived_cl984]) ).

thf(zip_derived_cl45,plain,
    ! [X62: $i,X63: $i] :
      ( ( c0_1 @ X62 )
      | ( c2_1 @ X62 )
      | ~ ( c3_1 @ X62 )
      | ~ ndr1_0
      | ( c2_1 @ X63 )
      | ~ ( c0_1 @ X63 )
      | ~ ( c1_1 @ X63 )
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl354,plain,
    ( ! [X62: $i] :
        ( ( c0_1 @ X62 )
        | ( c2_1 @ X62 )
        | ~ ( c3_1 @ X62 ) )
   <= ! [X62: $i] :
        ( ( c0_1 @ X62 )
        | ( c2_1 @ X62 )
        | ~ ( c3_1 @ X62 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl457_006,plain,
    ( ~ ( c0_1 @ a698 )
   <= ~ ( c0_1 @ a698 ) ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl1531,plain,
    ( ( ~ ( c3_1 @ a698 )
      | ( c2_1 @ a698 ) )
   <= ( ~ ( c0_1 @ a698 )
      & ! [X62: $i] :
          ( ( c0_1 @ X62 )
          | ( c2_1 @ X62 )
          | ~ ( c3_1 @ X62 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl354,zip_derived_cl457]) ).

thf('29',plain,
    ( ~ ! [X62: $i] :
          ( ( c0_1 @ X62 )
          | ( c2_1 @ X62 )
          | ~ ( c3_1 @ X62 ) )
    | ~ ( c3_1 @ a698 )
    | ( c0_1 @ a698 )
    | ( c2_1 @ a698 ) ),
    inference(split,[status(esa)],[zip_derived_cl1531]) ).

thf(zip_derived_cl54,plain,
    ! [X80: $i,X81: $i] :
      ( ( c0_1 @ X80 )
      | ( c1_1 @ X80 )
      | ~ ( c2_1 @ X80 )
      | ~ ndr1_0
      | ( c1_1 @ X81 )
      | ( c3_1 @ X81 )
      | ~ ( c2_1 @ X81 )
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('30',plain,
    ( ! [X79: $i] :
        ( ( c0_1 @ X79 )
        | ( c1_1 @ X79 )
        | ~ ( c2_1 @ X79 ) )
    | ! [X25: $i] :
        ( ( c1_1 @ X25 )
        | ( c3_1 @ X25 )
        | ~ ( c2_1 @ X25 ) )
    | hskp5
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf('31',plain,
    ( hskp19
    | ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c2_1 @ X19 )
        | ~ ( c3_1 @ X19 ) )
    | hskp17
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl385_007,plain,
    ( ! [X79: $i] :
        ( ( c0_1 @ X79 )
        | ( c1_1 @ X79 )
        | ~ ( c2_1 @ X79 ) )
   <= ! [X79: $i] :
        ( ( c0_1 @ X79 )
        | ( c1_1 @ X79 )
        | ~ ( c2_1 @ X79 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(zip_derived_cl91,plain,
    ( ~ hskp22
    | ~ ( c0_1 @ a693 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl475,plain,
    ( ~ ( c0_1 @ a693 )
   <= ~ ( c0_1 @ a693 ) ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl1692,plain,
    ( ( ~ ( c2_1 @ a693 )
      | ( c1_1 @ a693 ) )
   <= ( ~ ( c0_1 @ a693 )
      & ! [X79: $i] :
          ( ( c0_1 @ X79 )
          | ( c1_1 @ X79 )
          | ~ ( c2_1 @ X79 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl385,zip_derived_cl475]) ).

thf('32',plain,
    ( ( c0_1 @ a693 )
    | ( c1_1 @ a693 )
    | ~ ! [X79: $i] :
          ( ( c0_1 @ X79 )
          | ( c1_1 @ X79 )
          | ~ ( c2_1 @ X79 ) )
    | ~ ( c2_1 @ a693 ) ),
    inference(split,[status(esa)],[zip_derived_cl1692]) ).

thf(zip_derived_cl333_008,plain,
    ( ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ( c3_1 @ X52 )
        | ~ ( c1_1 @ X52 ) )
   <= ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ( c3_1 @ X52 )
        | ~ ( c1_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl457_009,plain,
    ( ~ ( c0_1 @ a698 )
   <= ~ ( c0_1 @ a698 ) ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl1477,plain,
    ( ( ~ ( c1_1 @ a698 )
      | ( c3_1 @ a698 ) )
   <= ( ~ ( c0_1 @ a698 )
      & ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ( c3_1 @ X52 )
          | ~ ( c1_1 @ X52 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl333,zip_derived_cl457]) ).

thf('33',plain,
    ( ~ ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ( c3_1 @ X52 )
          | ~ ( c1_1 @ X52 ) )
    | ( c3_1 @ a698 )
    | ( c0_1 @ a698 )
    | ~ ( c1_1 @ a698 ) ),
    inference(split,[status(esa)],[zip_derived_cl1477]) ).

thf(zip_derived_cl385_010,plain,
    ( ! [X79: $i] :
        ( ( c0_1 @ X79 )
        | ( c1_1 @ X79 )
        | ~ ( c2_1 @ X79 ) )
   <= ! [X79: $i] :
        ( ( c0_1 @ X79 )
        | ( c1_1 @ X79 )
        | ~ ( c2_1 @ X79 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(zip_derived_cl28,plain,
    ! [X28: $i,X29: $i] :
      ( ( c1_1 @ X28 )
      | ( c3_1 @ X28 )
      | ~ ( c0_1 @ X28 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X29 )
      | ~ ( c1_1 @ X29 )
      | ~ ( c2_1 @ X29 )
      | ~ ndr1_0
      | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl286,plain,
    ( ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ( c3_1 @ X28 )
        | ~ ( c0_1 @ X28 ) )
   <= ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ( c3_1 @ X28 )
        | ~ ( c0_1 @ X28 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl1681,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ( c1_1 @ X0 )
        | ( c1_1 @ X0 )
        | ( c3_1 @ X0 ) )
   <= ( ! [X28: $i] :
          ( ( c1_1 @ X28 )
          | ( c3_1 @ X28 )
          | ~ ( c0_1 @ X28 ) )
      & ! [X79: $i] :
          ( ( c0_1 @ X79 )
          | ( c1_1 @ X79 )
          | ~ ( c2_1 @ X79 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl385,zip_derived_cl286]) ).

thf(zip_derived_cl1710,plain,
    ( ! [X0: $i] :
        ( ( c3_1 @ X0 )
        | ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X28: $i] :
          ( ( c1_1 @ X28 )
          | ( c3_1 @ X28 )
          | ~ ( c0_1 @ X28 ) )
      & ! [X79: $i] :
          ( ( c0_1 @ X79 )
          | ( c1_1 @ X79 )
          | ~ ( c2_1 @ X79 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1681]) ).

thf(zip_derived_cl110,plain,
    ( ~ hskp17
    | ~ ( c1_1 @ a675 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl513,plain,
    ( ~ ( c1_1 @ a675 )
   <= ~ ( c1_1 @ a675 ) ),
    inference(split,[status(esa)],[zip_derived_cl110]) ).

thf(zip_derived_cl6398,plain,
    ( ( ~ ( c2_1 @ a675 )
      | ( c3_1 @ a675 ) )
   <= ( ~ ( c1_1 @ a675 )
      & ! [X28: $i] :
          ( ( c1_1 @ X28 )
          | ( c3_1 @ X28 )
          | ~ ( c0_1 @ X28 ) )
      & ! [X79: $i] :
          ( ( c0_1 @ X79 )
          | ( c1_1 @ X79 )
          | ~ ( c2_1 @ X79 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1710,zip_derived_cl513]) ).

thf('34',plain,
    ( ( c1_1 @ a675 )
    | ~ ( c2_1 @ a675 )
    | ~ ! [X79: $i] :
          ( ( c0_1 @ X79 )
          | ( c1_1 @ X79 )
          | ~ ( c2_1 @ X79 ) )
    | ~ ! [X28: $i] :
          ( ( c1_1 @ X28 )
          | ( c3_1 @ X28 )
          | ~ ( c0_1 @ X28 ) )
    | ( c3_1 @ a675 ) ),
    inference(split,[status(esa)],[zip_derived_cl6398]) ).

thf('35',plain,
    ( ( c1_1 @ a698 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf('36',plain,
    ( ~ ( c0_1 @ a698 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl83,plain,
    ( ~ hskp24
    | ~ ( c2_1 @ a698 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('37',plain,
    ( ~ ( c2_1 @ a698 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl12,plain,
    ! [X6: $i] :
      ( ( c2_1 @ X6 )
      | ~ ( c1_1 @ X6 )
      | ~ ( c3_1 @ X6 )
      | ~ ndr1_0
      | hskp2
      | hskp24 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('38',plain,
    ( hskp24
    | ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c3_1 @ X5 ) )
    | hskp2
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl41,plain,
    ! [X53: $i,X54: $i] :
      ( ( c0_1 @ X53 )
      | ( c3_1 @ X53 )
      | ~ ( c1_1 @ X53 )
      | ~ ndr1_0
      | ( c2_1 @ X54 )
      | ~ ( c1_1 @ X54 )
      | ~ ( c3_1 @ X54 )
      | ~ ndr1_0
      | hskp6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('39',plain,
    ( ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c3_1 @ X5 ) )
    | ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ( c3_1 @ X52 )
        | ~ ( c1_1 @ X52 ) )
    | hskp6
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl30,plain,
    ! [X33: $i] :
      ( ( c1_1 @ X33 )
      | ( c2_1 @ X33 )
      | ~ ( c3_1 @ X33 )
      | ~ ndr1_0
      | hskp28
      | hskp16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl293,plain,
    ( ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c2_1 @ X33 )
        | ~ ( c3_1 @ X33 ) )
   <= ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c2_1 @ X33 )
        | ~ ( c3_1 @ X33 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl218_011,plain,
    ( ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c3_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c3_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl1107,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ( c2_1 @ X0 )
        | ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
      & ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ( c2_1 @ X33 )
          | ~ ( c3_1 @ X33 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl293,zip_derived_cl218]) ).

thf(zip_derived_cl1148,plain,
    ( ! [X0: $i] :
        ( ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
      & ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ( c2_1 @ X33 )
          | ~ ( c3_1 @ X33 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1107]) ).

thf(zip_derived_cl147,plain,
    ( ~ hskp8
    | ~ ( c2_1 @ a652 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl587,plain,
    ( ~ ( c2_1 @ a652 )
   <= ~ ( c2_1 @ a652 ) ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl2319,plain,
    ( ~ ( c3_1 @ a652 )
   <= ( ~ ( c2_1 @ a652 )
      & ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
      & ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ( c2_1 @ X33 )
          | ~ ( c3_1 @ X33 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1148,zip_derived_cl587]) ).

thf(zip_derived_cl146,plain,
    ( ~ hskp8
    | ( c3_1 @ a652 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl585,plain,
    ( ( c3_1 @ a652 )
   <= ( c3_1 @ a652 ) ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf('40',plain,
    ( ( c2_1 @ a652 )
    | ~ ( c3_1 @ a652 )
    | ~ ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
    | ~ ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ( c2_1 @ X33 )
          | ~ ( c3_1 @ X33 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2319,zip_derived_cl585]) ).

thf(zip_derived_cl333_012,plain,
    ( ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ( c3_1 @ X52 )
        | ~ ( c1_1 @ X52 ) )
   <= ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ( c3_1 @ X52 )
        | ~ ( c1_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl8,plain,
    ! [X2: $i] :
      ( ( c3_1 @ X2 )
      | ~ ( c0_1 @ X2 )
      | ~ ( c2_1 @ X2 )
      | ~ ndr1_0
      | hskp15
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl206,plain,
    ( ! [X2: $i] :
        ( ( c3_1 @ X2 )
        | ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ( c3_1 @ X2 )
        | ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl1458,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ( c3_1 @ X0 )
        | ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ( c3_1 @ X52 )
          | ~ ( c1_1 @ X52 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl333,zip_derived_cl206]) ).

thf(zip_derived_cl1493,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ( c3_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ( c3_1 @ X52 )
          | ~ ( c1_1 @ X52 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1458]) ).

thf(zip_derived_cl97,plain,
    ( ~ hskp20
    | ( c1_1 @ a686 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl487,plain,
    ( ( c1_1 @ a686 )
   <= ( c1_1 @ a686 ) ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(zip_derived_cl3388,plain,
    ( ( ( c3_1 @ a686 )
      | ~ ( c2_1 @ a686 ) )
   <= ( ! [X2: $i] :
          ( ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ( c3_1 @ X52 )
          | ~ ( c1_1 @ X52 ) )
      & ( c1_1 @ a686 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1493,zip_derived_cl487]) ).

thf('41',plain,
    ( ~ ! [X2: $i] :
          ( ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
    | ~ ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ( c3_1 @ X52 )
          | ~ ( c1_1 @ X52 ) )
    | ~ ( c2_1 @ a686 )
    | ~ ( c1_1 @ a686 )
    | ( c3_1 @ a686 ) ),
    inference(split,[status(esa)],[zip_derived_cl3388]) ).

thf(zip_derived_cl153,plain,
    ( ~ hskp6
    | ( c0_1 @ a648 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl599,plain,
    ( ( c0_1 @ a648 )
   <= ( c0_1 @ a648 ) ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl273_013,plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl1047,plain,
    ( ( ( c1_1 @ a648 )
      | ~ ( c3_1 @ a648 ) )
   <= ( ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
      & ( c0_1 @ a648 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl599,zip_derived_cl273]) ).

thf(zip_derived_cl3699,plain,
    ( ( c1_1 @ a648 )
   <= ( c1_1 @ a648 ) ),
    inference(split,[status(esa)],[zip_derived_cl1047]) ).

thf(zip_derived_cl242_014,plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c1_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c1_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl3721,plain,
    ( ( ( c2_1 @ a648 )
      | ( c3_1 @ a648 ) )
   <= ( ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c3_1 @ X12 )
          | ~ ( c1_1 @ X12 ) )
      & ( c1_1 @ a648 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3699,zip_derived_cl242]) ).

thf('42',plain,
    ( ~ ( c1_1 @ a648 )
    | ~ ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c3_1 @ X12 )
          | ~ ( c1_1 @ X12 ) )
    | ( c2_1 @ a648 )
    | ( c3_1 @ a648 ) ),
    inference(split,[status(esa)],[zip_derived_cl3721]) ).

thf(zip_derived_cl26,plain,
    ! [X24: $i] :
      ( ( c1_1 @ X24 )
      | ~ ( c0_1 @ X24 )
      | ~ ( c3_1 @ X24 )
      | ~ ndr1_0
      | hskp28
      | hskp17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('43',plain,
    ( hskp28
    | hskp17
    | ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl323_015,plain,
    ( ! [X45: $i] :
        ( ( c0_1 @ X45 )
        | ~ ( c1_1 @ X45 )
        | ~ ( c2_1 @ X45 ) )
   <= ! [X45: $i] :
        ( ( c0_1 @ X45 )
        | ~ ( c1_1 @ X45 )
        | ~ ( c2_1 @ X45 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl609_016,plain,
    ( ~ ( c0_1 @ a647 )
   <= ~ ( c0_1 @ a647 ) ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl1302,plain,
    ( ( ~ ( c2_1 @ a647 )
      | ~ ( c1_1 @ a647 ) )
   <= ( ~ ( c0_1 @ a647 )
      & ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ~ ( c1_1 @ X45 )
          | ~ ( c2_1 @ X45 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl323,zip_derived_cl609]) ).

thf('44',plain,
    ( ~ ( c2_1 @ a647 )
    | ( c0_1 @ a647 )
    | ~ ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ~ ( c1_1 @ X45 )
          | ~ ( c2_1 @ X45 ) )
    | ~ ( c1_1 @ a647 ) ),
    inference(split,[status(esa)],[zip_derived_cl1302]) ).

thf(zip_derived_cl38,plain,
    ! [X48: $i,X49: $i,X50: $i] :
      ( ( c0_1 @ X48 )
      | ~ ( c1_1 @ X48 )
      | ~ ( c2_1 @ X48 )
      | ~ ndr1_0
      | ( c1_1 @ X49 )
      | ~ ( c2_1 @ X49 )
      | ~ ( c3_1 @ X49 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X50 )
      | ~ ( c1_1 @ X50 )
      | ~ ( c2_1 @ X50 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('45',plain,
    ( ! [X45: $i] :
        ( ( c0_1 @ X45 )
        | ~ ( c1_1 @ X45 )
        | ~ ( c2_1 @ X45 ) )
    | ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
    | ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c2_1 @ X19 )
        | ~ ( c3_1 @ X19 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl157,plain,
    ( ~ hskp5
    | ( c1_1 @ a647 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl607,plain,
    ( ( c1_1 @ a647 )
   <= ( c1_1 @ a647 ) ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl242_017,plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c1_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c1_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl1055,plain,
    ( ( ( c2_1 @ a647 )
      | ( c3_1 @ a647 ) )
   <= ( ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c3_1 @ X12 )
          | ~ ( c1_1 @ X12 ) )
      & ( c1_1 @ a647 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl607,zip_derived_cl242]) ).

thf('46',plain,
    ( ~ ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c3_1 @ X12 )
          | ~ ( c1_1 @ X12 ) )
    | ( c2_1 @ a647 )
    | ( c3_1 @ a647 )
    | ~ ( c1_1 @ a647 ) ),
    inference(split,[status(esa)],[zip_derived_cl1055]) ).

thf(zip_derived_cl52,plain,
    ! [X77: $i,X78: $i] :
      ( ( c0_1 @ X77 )
      | ( c1_1 @ X77 )
      | ~ ( c3_1 @ X77 )
      | ~ ndr1_0
      | ( c2_1 @ X78 )
      | ( c3_1 @ X78 )
      | ~ ( c1_1 @ X78 )
      | ~ ndr1_0
      | hskp2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('47',plain,
    ( ! [X71: $i] :
        ( ( c0_1 @ X71 )
        | ( c1_1 @ X71 )
        | ~ ( c3_1 @ X71 ) )
    | ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c1_1 @ X12 ) )
    | hskp2
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl431_018,plain,
    ( ( c0_1 @ a655 )
   <= ( c0_1 @ a655 ) ),
    inference(split,[status(esa)],[zip_derived_cl69]) ).

thf(zip_derived_cl273_019,plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c0_1 @ X23 )
        | ~ ( c3_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl813,plain,
    ( ( ( c1_1 @ a655 )
      | ~ ( c3_1 @ a655 ) )
   <= ( ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
      & ( c0_1 @ a655 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl431,zip_derived_cl273]) ).

thf('48',plain,
    ( ( c1_1 @ a655 )
    | ~ ( c0_1 @ a655 )
    | ~ ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c0_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
    | ~ ( c3_1 @ a655 ) ),
    inference(split,[status(esa)],[zip_derived_cl813]) ).

thf('49',plain,
    ( ( c0_1 @ a655 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl69]) ).

thf(zip_derived_cl18,plain,
    ! [X13: $i] :
      ( ( c2_1 @ X13 )
      | ( c3_1 @ X13 )
      | ~ ( c0_1 @ X13 )
      | ~ ndr1_0
      | hskp20
      | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('50',plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c0_1 @ X13 ) )
    | hskp20
    | hskp5
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl50,plain,
    ! [X73: $i,X74: $i] :
      ( ( c0_1 @ X73 )
      | ( c1_1 @ X73 )
      | ~ ( c3_1 @ X73 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X74 )
      | ~ ( c1_1 @ X74 )
      | ~ ( c2_1 @ X74 )
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('51',plain,
    ( ! [X71: $i] :
        ( ( c0_1 @ X71 )
        | ( c1_1 @ X71 )
        | ~ ( c3_1 @ X71 ) )
    | ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
    | hskp8
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf('52',plain,
    ( hskp5
    | ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c3_1 @ X9 ) )
    | hskp23
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl105,plain,
    ( ~ hskp18
    | ( c0_1 @ a676 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl503,plain,
    ( ( c0_1 @ a676 )
   <= ( c0_1 @ a676 ) ),
    inference(split,[status(esa)],[zip_derived_cl105]) ).

thf(zip_derived_cl230_020,plain,
    ( ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c3_1 @ X9 ) )
   <= ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c3_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl924,plain,
    ( ( ( c2_1 @ a676 )
      | ~ ( c3_1 @ a676 ) )
   <= ( ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
      & ( c0_1 @ a676 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl503,zip_derived_cl230]) ).

thf('53',plain,
    ( ~ ( c3_1 @ a676 )
    | ~ ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
    | ( c2_1 @ a676 )
    | ~ ( c0_1 @ a676 ) ),
    inference(split,[status(esa)],[zip_derived_cl924]) ).

thf(zip_derived_cl503_021,plain,
    ( ( c0_1 @ a676 )
   <= ( c0_1 @ a676 ) ),
    inference(split,[status(esa)],[zip_derived_cl105]) ).

thf(zip_derived_cl246,plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c0_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c0_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl925,plain,
    ( ( ( c2_1 @ a676 )
      | ( c3_1 @ a676 ) )
   <= ( ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ( c3_1 @ X13 )
          | ~ ( c0_1 @ X13 ) )
      & ( c0_1 @ a676 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl503,zip_derived_cl246]) ).

thf('54',plain,
    ( ( c3_1 @ a676 )
    | ( c2_1 @ a676 )
    | ~ ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ( c3_1 @ X13 )
          | ~ ( c0_1 @ X13 ) )
    | ~ ( c0_1 @ a676 ) ),
    inference(split,[status(esa)],[zip_derived_cl925]) ).

thf(zip_derived_cl85,plain,
    ( ~ hskp23
    | ( c2_1 @ a695 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('55',plain,
    ( ( c2_1 @ a695 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf('56',plain,
    ( ~ ( c0_1 @ a695 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf(zip_derived_cl87,plain,
    ( ~ hskp23
    | ~ ( c3_1 @ a695 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('57',plain,
    ( ~ ( c3_1 @ a695 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl39,plain,
    ! [X51: $i] :
      ( ( c0_1 @ X51 )
      | ( c3_1 @ X51 )
      | ~ ( c2_1 @ X51 )
      | ~ ndr1_0
      | hskp6
      | hskp3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl329,plain,
    ( ! [X51: $i] :
        ( ( c0_1 @ X51 )
        | ( c3_1 @ X51 )
        | ~ ( c2_1 @ X51 ) )
   <= ! [X51: $i] :
        ( ( c0_1 @ X51 )
        | ( c3_1 @ X51 )
        | ~ ( c2_1 @ X51 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl465_022,plain,
    ( ~ ( c0_1 @ a695 )
   <= ~ ( c0_1 @ a695 ) ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf(zip_derived_cl1426,plain,
    ( ( ~ ( c2_1 @ a695 )
      | ( c3_1 @ a695 ) )
   <= ( ~ ( c0_1 @ a695 )
      & ! [X51: $i] :
          ( ( c0_1 @ X51 )
          | ( c3_1 @ X51 )
          | ~ ( c2_1 @ X51 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl329,zip_derived_cl465]) ).

thf('58',plain,
    ( ( c0_1 @ a695 )
    | ( c3_1 @ a695 )
    | ~ ! [X51: $i] :
          ( ( c0_1 @ X51 )
          | ( c3_1 @ X51 )
          | ~ ( c2_1 @ X51 ) )
    | ~ ( c2_1 @ a695 ) ),
    inference(split,[status(esa)],[zip_derived_cl1426]) ).

thf(zip_derived_cl323_023,plain,
    ( ! [X45: $i] :
        ( ( c0_1 @ X45 )
        | ~ ( c1_1 @ X45 )
        | ~ ( c2_1 @ X45 ) )
   <= ! [X45: $i] :
        ( ( c0_1 @ X45 )
        | ~ ( c1_1 @ X45 )
        | ~ ( c2_1 @ X45 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl171,plain,
    ( ~ hskp2
    | ~ ( c0_1 @ a643 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl635,plain,
    ( ~ ( c0_1 @ a643 )
   <= ~ ( c0_1 @ a643 ) ),
    inference(split,[status(esa)],[zip_derived_cl171]) ).

thf(zip_derived_cl1301,plain,
    ( ( ~ ( c2_1 @ a643 )
      | ~ ( c1_1 @ a643 ) )
   <= ( ~ ( c0_1 @ a643 )
      & ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ~ ( c1_1 @ X45 )
          | ~ ( c2_1 @ X45 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl323,zip_derived_cl635]) ).

thf('59',plain,
    ( ~ ( c2_1 @ a643 )
    | ( c0_1 @ a643 )
    | ~ ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ~ ( c1_1 @ X45 )
          | ~ ( c2_1 @ X45 ) )
    | ~ ( c1_1 @ a643 ) ),
    inference(split,[status(esa)],[zip_derived_cl1301]) ).

thf(zip_derived_cl44,plain,
    ! [X59: $i,X60: $i,X61: $i] :
      ( ( c0_1 @ X59 )
      | ( c3_1 @ X59 )
      | ~ ( c1_1 @ X59 )
      | ~ ndr1_0
      | ( c0_1 @ X60 )
      | ~ ( c1_1 @ X60 )
      | ~ ( c2_1 @ X60 )
      | ~ ndr1_0
      | ( c1_1 @ X61 )
      | ( c2_1 @ X61 )
      | ~ ( c0_1 @ X61 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('60',plain,
    ( ! [X45: $i] :
        ( ( c0_1 @ X45 )
        | ~ ( c1_1 @ X45 )
        | ~ ( c2_1 @ X45 ) )
    | ! [X34: $i] :
        ( ( c1_1 @ X34 )
        | ( c2_1 @ X34 )
        | ~ ( c0_1 @ X34 ) )
    | ~ ndr1_0
    | ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ( c3_1 @ X52 )
        | ~ ( c1_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl44]) ).

thf(zip_derived_cl599_024,plain,
    ( ( c0_1 @ a648 )
   <= ( c0_1 @ a648 ) ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl31,plain,
    ! [X34: $i,X35: $i] :
      ( ( c1_1 @ X34 )
      | ( c2_1 @ X34 )
      | ~ ( c0_1 @ X34 )
      | ~ ndr1_0
      | ( c1_1 @ X35 )
      | ( c3_1 @ X35 )
      | ~ ( c0_1 @ X35 )
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl298,plain,
    ( ! [X34: $i] :
        ( ( c1_1 @ X34 )
        | ( c2_1 @ X34 )
        | ~ ( c0_1 @ X34 ) )
   <= ! [X34: $i] :
        ( ( c1_1 @ X34 )
        | ( c2_1 @ X34 )
        | ~ ( c0_1 @ X34 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl31]) ).

thf(zip_derived_cl1184,plain,
    ( ( ( c1_1 @ a648 )
      | ( c2_1 @ a648 ) )
   <= ( ! [X34: $i] :
          ( ( c1_1 @ X34 )
          | ( c2_1 @ X34 )
          | ~ ( c0_1 @ X34 ) )
      & ( c0_1 @ a648 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl599,zip_derived_cl298]) ).

thf('61',plain,
    ( ( c1_1 @ a648 )
    | ( c2_1 @ a648 )
    | ~ ! [X34: $i] :
          ( ( c1_1 @ X34 )
          | ( c2_1 @ X34 )
          | ~ ( c0_1 @ X34 ) )
    | ~ ( c0_1 @ a648 ) ),
    inference(split,[status(esa)],[zip_derived_cl1184]) ).

thf(zip_derived_cl599_025,plain,
    ( ( c0_1 @ a648 )
   <= ( c0_1 @ a648 ) ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl286_026,plain,
    ( ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ( c3_1 @ X28 )
        | ~ ( c0_1 @ X28 ) )
   <= ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ( c3_1 @ X28 )
        | ~ ( c0_1 @ X28 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl1049,plain,
    ( ( ( c1_1 @ a648 )
      | ( c3_1 @ a648 ) )
   <= ( ! [X28: $i] :
          ( ( c1_1 @ X28 )
          | ( c3_1 @ X28 )
          | ~ ( c0_1 @ X28 ) )
      & ( c0_1 @ a648 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl599,zip_derived_cl286]) ).

thf('62',plain,
    ( ( c1_1 @ a648 )
    | ( c3_1 @ a648 )
    | ~ ! [X28: $i] :
          ( ( c1_1 @ X28 )
          | ( c3_1 @ X28 )
          | ~ ( c0_1 @ X28 ) )
    | ~ ( c0_1 @ a648 ) ),
    inference(split,[status(esa)],[zip_derived_cl1049]) ).

thf(zip_derived_cl599_027,plain,
    ( ( c0_1 @ a648 )
   <= ( c0_1 @ a648 ) ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl281_028,plain,
    ( ! [X27: $i] :
        ( ( c2_1 @ X27 )
        | ~ ( c0_1 @ X27 )
        | ~ ( c1_1 @ X27 ) )
   <= ! [X27: $i] :
        ( ( c2_1 @ X27 )
        | ~ ( c0_1 @ X27 )
        | ~ ( c1_1 @ X27 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl1048,plain,
    ( ( ( c2_1 @ a648 )
      | ~ ( c1_1 @ a648 ) )
   <= ( ! [X27: $i] :
          ( ( c2_1 @ X27 )
          | ~ ( c0_1 @ X27 )
          | ~ ( c1_1 @ X27 ) )
      & ( c0_1 @ a648 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl599,zip_derived_cl281]) ).

thf('63',plain,
    ( ~ ( c1_1 @ a648 )
    | ~ ! [X27: $i] :
          ( ( c2_1 @ X27 )
          | ~ ( c0_1 @ X27 )
          | ~ ( c1_1 @ X27 ) )
    | ( c2_1 @ a648 )
    | ~ ( c0_1 @ a648 ) ),
    inference(split,[status(esa)],[zip_derived_cl1048]) ).

thf(zip_derived_cl43,plain,
    ! [X57: $i,X58: $i] :
      ( ( c0_1 @ X57 )
      | ( c3_1 @ X57 )
      | ~ ( c1_1 @ X57 )
      | ~ ndr1_0
      | ( c0_1 @ X58 )
      | ~ ( c1_1 @ X58 )
      | ~ ( c3_1 @ X58 )
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('64',plain,
    ( hskp11
    | ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c3_1 @ X42 ) )
    | ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ( c3_1 @ X52 )
        | ~ ( c1_1 @ X52 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl4,plain,
    ( hskp18
    | hskp2
    | hskp20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('65',plain,
    ( hskp20
    | hskp18
    | hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf(zip_derived_cl133,plain,
    ( ~ hskp11
    | ( c0_1 @ a657 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('66',plain,
    ( ( c0_1 @ a657 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf(zip_derived_cl134,plain,
    ( ~ hskp11
    | ( c2_1 @ a657 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('67',plain,
    ( ( c2_1 @ a657 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl135,plain,
    ( ~ hskp11
    | ~ ( c3_1 @ a657 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('68',plain,
    ( ~ ( c3_1 @ a657 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl135]) ).

thf(zip_derived_cl559,plain,
    ( ( c0_1 @ a657 )
   <= ( c0_1 @ a657 ) ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf(zip_derived_cl206_029,plain,
    ( ! [X2: $i] :
        ( ( c3_1 @ X2 )
        | ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ( c3_1 @ X2 )
        | ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl999,plain,
    ( ( ( c3_1 @ a657 )
      | ~ ( c2_1 @ a657 ) )
   <= ( ! [X2: $i] :
          ( ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ( c0_1 @ a657 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl559,zip_derived_cl206]) ).

thf('69',plain,
    ( ~ ( c2_1 @ a657 )
    | ( c3_1 @ a657 )
    | ~ ! [X2: $i] :
          ( ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
    | ~ ( c0_1 @ a657 ) ),
    inference(split,[status(esa)],[zip_derived_cl999]) ).

thf(zip_derived_cl329_030,plain,
    ( ! [X51: $i] :
        ( ( c0_1 @ X51 )
        | ( c3_1 @ X51 )
        | ~ ( c2_1 @ X51 ) )
   <= ! [X51: $i] :
        ( ( c0_1 @ X51 )
        | ( c3_1 @ X51 )
        | ~ ( c2_1 @ X51 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i] :
      ( ~ ( c0_1 @ X0 )
      | ~ ( c1_1 @ X0 )
      | ~ ( c2_1 @ X0 )
      | ~ ndr1_0
      | hskp23
      | hskp25 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl198,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl1407,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ( c3_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 ) )
      & ! [X51: $i] :
          ( ( c0_1 @ X51 )
          | ( c3_1 @ X51 )
          | ~ ( c2_1 @ X51 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl329,zip_derived_cl198]) ).

thf(zip_derived_cl1441,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 ) )
      & ! [X51: $i] :
          ( ( c0_1 @ X51 )
          | ( c3_1 @ X51 )
          | ~ ( c2_1 @ X51 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1407]) ).

thf(zip_derived_cl487_031,plain,
    ( ( c1_1 @ a686 )
   <= ( c1_1 @ a686 ) ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(zip_derived_cl3266,plain,
    ( ( ~ ( c2_1 @ a686 )
      | ( c3_1 @ a686 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 ) )
      & ! [X51: $i] :
          ( ( c0_1 @ X51 )
          | ( c3_1 @ X51 )
          | ~ ( c2_1 @ X51 ) )
      & ( c1_1 @ a686 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1441,zip_derived_cl487]) ).

thf('70',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 ) )
    | ~ ( c1_1 @ a686 )
    | ~ ! [X51: $i] :
          ( ( c0_1 @ X51 )
          | ( c3_1 @ X51 )
          | ~ ( c2_1 @ X51 ) )
    | ~ ( c2_1 @ a686 )
    | ( c3_1 @ a686 ) ),
    inference(split,[status(esa)],[zip_derived_cl3266]) ).

thf(zip_derived_cl329_032,plain,
    ( ! [X51: $i] :
        ( ( c0_1 @ X51 )
        | ( c3_1 @ X51 )
        | ~ ( c2_1 @ X51 ) )
   <= ! [X51: $i] :
        ( ( c0_1 @ X51 )
        | ( c3_1 @ X51 )
        | ~ ( c2_1 @ X51 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl635_033,plain,
    ( ~ ( c0_1 @ a643 )
   <= ~ ( c0_1 @ a643 ) ),
    inference(split,[status(esa)],[zip_derived_cl171]) ).

thf(zip_derived_cl1418,plain,
    ( ( ~ ( c2_1 @ a643 )
      | ( c3_1 @ a643 ) )
   <= ( ~ ( c0_1 @ a643 )
      & ! [X51: $i] :
          ( ( c0_1 @ X51 )
          | ( c3_1 @ X51 )
          | ~ ( c2_1 @ X51 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl329,zip_derived_cl635]) ).

thf('71',plain,
    ( ( c3_1 @ a643 )
    | ( c0_1 @ a643 )
    | ~ ! [X51: $i] :
          ( ( c0_1 @ X51 )
          | ( c3_1 @ X51 )
          | ~ ( c2_1 @ X51 ) )
    | ~ ( c2_1 @ a643 ) ),
    inference(split,[status(esa)],[zip_derived_cl1418]) ).

thf(zip_derived_cl319_034,plain,
    ( ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c3_1 @ X42 ) )
   <= ! [X42: $i] :
        ( ( c0_1 @ X42 )
        | ~ ( c1_1 @ X42 )
        | ~ ( c3_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl635_035,plain,
    ( ~ ( c0_1 @ a643 )
   <= ~ ( c0_1 @ a643 ) ),
    inference(split,[status(esa)],[zip_derived_cl171]) ).

thf(zip_derived_cl1248,plain,
    ( ( ~ ( c3_1 @ a643 )
      | ~ ( c1_1 @ a643 ) )
   <= ( ~ ( c0_1 @ a643 )
      & ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ~ ( c1_1 @ X42 )
          | ~ ( c3_1 @ X42 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl319,zip_derived_cl635]) ).

thf('72',plain,
    ( ~ ! [X42: $i] :
          ( ( c0_1 @ X42 )
          | ~ ( c1_1 @ X42 )
          | ~ ( c3_1 @ X42 ) )
    | ~ ( c3_1 @ a643 )
    | ( c0_1 @ a643 )
    | ~ ( c1_1 @ a643 ) ),
    inference(split,[status(esa)],[zip_derived_cl1248]) ).

thf('73',plain,
    ( ( c0_1 @ a676 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl105]) ).

thf('74',plain,
    ( ( c1_1 @ a676 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(zip_derived_cl107,plain,
    ( ~ hskp18
    | ~ ( c2_1 @ a676 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('75',plain,
    ( ~ ( c2_1 @ a676 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl107]) ).

thf(zip_derived_cl503_036,plain,
    ( ( c0_1 @ a676 )
   <= ( c0_1 @ a676 ) ),
    inference(split,[status(esa)],[zip_derived_cl105]) ).

thf(zip_derived_cl281_037,plain,
    ( ! [X27: $i] :
        ( ( c2_1 @ X27 )
        | ~ ( c0_1 @ X27 )
        | ~ ( c1_1 @ X27 ) )
   <= ! [X27: $i] :
        ( ( c2_1 @ X27 )
        | ~ ( c0_1 @ X27 )
        | ~ ( c1_1 @ X27 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl928,plain,
    ( ( ( c2_1 @ a676 )
      | ~ ( c1_1 @ a676 ) )
   <= ( ! [X27: $i] :
          ( ( c2_1 @ X27 )
          | ~ ( c0_1 @ X27 )
          | ~ ( c1_1 @ X27 ) )
      & ( c0_1 @ a676 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl503,zip_derived_cl281]) ).

thf('76',plain,
    ( ~ ( c1_1 @ a676 )
    | ~ ! [X27: $i] :
          ( ( c2_1 @ X27 )
          | ~ ( c0_1 @ X27 )
          | ~ ( c1_1 @ X27 ) )
    | ( c2_1 @ a676 )
    | ~ ( c0_1 @ a676 ) ),
    inference(split,[status(esa)],[zip_derived_cl928]) ).

thf(zip_derived_cl370,plain,
    ( ! [X71: $i] :
        ( ( c0_1 @ X71 )
        | ( c1_1 @ X71 )
        | ~ ( c3_1 @ X71 ) )
   <= ! [X71: $i] :
        ( ( c0_1 @ X71 )
        | ( c1_1 @ X71 )
        | ~ ( c3_1 @ X71 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl289_038,plain,
    ( ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ~ ( c0_1 @ X31 )
        | ~ ( c2_1 @ X31 ) )
   <= ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ~ ( c0_1 @ X31 )
        | ~ ( c2_1 @ X31 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl1572,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ( c1_1 @ X0 )
        | ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ~ ( c0_1 @ X31 )
          | ~ ( c2_1 @ X31 ) )
      & ! [X71: $i] :
          ( ( c0_1 @ X71 )
          | ( c1_1 @ X71 )
          | ~ ( c3_1 @ X71 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl370,zip_derived_cl289]) ).

thf(zip_derived_cl1600,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ~ ( c0_1 @ X31 )
          | ~ ( c2_1 @ X31 ) )
      & ! [X71: $i] :
          ( ( c0_1 @ X71 )
          | ( c1_1 @ X71 )
          | ~ ( c3_1 @ X71 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1572]) ).

thf(zip_derived_cl431_039,plain,
    ( ( c0_1 @ a655 )
   <= ( c0_1 @ a655 ) ),
    inference(split,[status(esa)],[zip_derived_cl69]) ).

thf(zip_derived_cl198_040,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl808,plain,
    ( ( ~ ( c1_1 @ a655 )
      | ~ ( c2_1 @ a655 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 ) )
      & ( c0_1 @ a655 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl431,zip_derived_cl198]) ).

thf(zip_derived_cl847,plain,
    ( ~ ( c1_1 @ a655 )
   <= ~ ( c1_1 @ a655 ) ),
    inference(split,[status(esa)],[zip_derived_cl808]) ).

thf(zip_derived_cl4905,plain,
    ( ( ~ ( c3_1 @ a655 )
      | ~ ( c2_1 @ a655 ) )
   <= ( ~ ( c1_1 @ a655 )
      & ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ~ ( c0_1 @ X31 )
          | ~ ( c2_1 @ X31 ) )
      & ! [X71: $i] :
          ( ( c0_1 @ X71 )
          | ( c1_1 @ X71 )
          | ~ ( c3_1 @ X71 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1600,zip_derived_cl847]) ).

thf('77',plain,
    ( ~ ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ~ ( c0_1 @ X31 )
          | ~ ( c2_1 @ X31 ) )
    | ~ ( c2_1 @ a655 )
    | ~ ! [X71: $i] :
          ( ( c0_1 @ X71 )
          | ( c1_1 @ X71 )
          | ~ ( c3_1 @ X71 ) )
    | ~ ( c3_1 @ a655 )
    | ( c1_1 @ a655 ) ),
    inference(split,[status(esa)],[zip_derived_cl4905]) ).

thf(zip_derived_cl2001,plain,
    ( ( c1_1 @ a655 )
   <= ( c1_1 @ a655 ) ),
    inference(split,[status(esa)],[zip_derived_cl813]) ).

thf(zip_derived_cl226,plain,
    ( ! [X8: $i] :
        ( ~ ( c1_1 @ X8 )
        | ~ ( c2_1 @ X8 )
        | ~ ( c3_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ~ ( c1_1 @ X8 )
        | ~ ( c2_1 @ X8 )
        | ~ ( c3_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl2007,plain,
    ( ( ~ ( c2_1 @ a655 )
      | ~ ( c3_1 @ a655 ) )
   <= ( ! [X8: $i] :
          ( ~ ( c1_1 @ X8 )
          | ~ ( c2_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
      & ( c1_1 @ a655 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2001,zip_derived_cl226]) ).

thf('78',plain,
    ( ~ ( c1_1 @ a655 )
    | ~ ( c2_1 @ a655 )
    | ~ ! [X8: $i] :
          ( ~ ( c1_1 @ X8 )
          | ~ ( c2_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
    | ~ ( c3_1 @ a655 ) ),
    inference(split,[status(esa)],[zip_derived_cl2007]) ).

thf(zip_derived_cl42,plain,
    ! [X55: $i,X56: $i] :
      ( ( c0_1 @ X55 )
      | ( c3_1 @ X55 )
      | ~ ( c1_1 @ X55 )
      | ~ ndr1_0
      | ( c1_1 @ X56 )
      | ~ ( c2_1 @ X56 )
      | ~ ( c3_1 @ X56 )
      | ~ ndr1_0
      | hskp27 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('79',plain,
    ( hskp27
    | ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c2_1 @ X19 )
        | ~ ( c3_1 @ X19 ) )
    | ~ ndr1_0
    | ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ( c3_1 @ X52 )
        | ~ ( c1_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf('80',plain,
    ( ( c0_1 @ a648 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl154,plain,
    ( ~ hskp6
    | ~ ( c2_1 @ a648 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('81',plain,
    ( ~ ( c2_1 @ a648 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl155,plain,
    ( ~ hskp6
    | ~ ( c3_1 @ a648 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('82',plain,
    ( ~ ( c3_1 @ a648 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf(zip_derived_cl599_041,plain,
    ( ( c0_1 @ a648 )
   <= ( c0_1 @ a648 ) ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl246_042,plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c0_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c0_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl1045,plain,
    ( ( ( c2_1 @ a648 )
      | ( c3_1 @ a648 ) )
   <= ( ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ( c3_1 @ X13 )
          | ~ ( c0_1 @ X13 ) )
      & ( c0_1 @ a648 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl599,zip_derived_cl246]) ).

thf('83',plain,
    ( ( c2_1 @ a648 )
    | ( c3_1 @ a648 )
    | ~ ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ( c3_1 @ X13 )
          | ~ ( c0_1 @ X13 ) )
    | ~ ( c0_1 @ a648 ) ),
    inference(split,[status(esa)],[zip_derived_cl1045]) ).

thf(zip_derived_cl329_043,plain,
    ( ! [X51: $i] :
        ( ( c0_1 @ X51 )
        | ( c3_1 @ X51 )
        | ~ ( c2_1 @ X51 ) )
   <= ! [X51: $i] :
        ( ( c0_1 @ X51 )
        | ( c3_1 @ X51 )
        | ~ ( c2_1 @ X51 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl286_044,plain,
    ( ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ( c3_1 @ X28 )
        | ~ ( c0_1 @ X28 ) )
   <= ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ( c3_1 @ X28 )
        | ~ ( c0_1 @ X28 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl1414,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ( c3_1 @ X0 )
        | ( c1_1 @ X0 )
        | ( c3_1 @ X0 ) )
   <= ( ! [X28: $i] :
          ( ( c1_1 @ X28 )
          | ( c3_1 @ X28 )
          | ~ ( c0_1 @ X28 ) )
      & ! [X51: $i] :
          ( ( c0_1 @ X51 )
          | ( c3_1 @ X51 )
          | ~ ( c2_1 @ X51 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl329,zip_derived_cl286]) ).

thf(zip_derived_cl1445,plain,
    ( ! [X0: $i] :
        ( ( c1_1 @ X0 )
        | ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X28: $i] :
          ( ( c1_1 @ X28 )
          | ( c3_1 @ X28 )
          | ~ ( c0_1 @ X28 ) )
      & ! [X51: $i] :
          ( ( c0_1 @ X51 )
          | ( c3_1 @ X51 )
          | ~ ( c2_1 @ X51 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1414]) ).

thf(zip_derived_cl513_045,plain,
    ( ~ ( c1_1 @ a675 )
   <= ~ ( c1_1 @ a675 ) ),
    inference(split,[status(esa)],[zip_derived_cl110]) ).

thf(zip_derived_cl5516,plain,
    ( ( ~ ( c2_1 @ a675 )
      | ( c3_1 @ a675 ) )
   <= ( ~ ( c1_1 @ a675 )
      & ! [X28: $i] :
          ( ( c1_1 @ X28 )
          | ( c3_1 @ X28 )
          | ~ ( c0_1 @ X28 ) )
      & ! [X51: $i] :
          ( ( c0_1 @ X51 )
          | ( c3_1 @ X51 )
          | ~ ( c2_1 @ X51 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1445,zip_derived_cl513]) ).

thf('84',plain,
    ( ( c1_1 @ a675 )
    | ~ ( c2_1 @ a675 )
    | ~ ! [X28: $i] :
          ( ( c1_1 @ X28 )
          | ( c3_1 @ X28 )
          | ~ ( c0_1 @ X28 ) )
    | ~ ! [X51: $i] :
          ( ( c0_1 @ X51 )
          | ( c3_1 @ X51 )
          | ~ ( c2_1 @ X51 ) )
    | ( c3_1 @ a675 ) ),
    inference(split,[status(esa)],[zip_derived_cl5516]) ).

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

thf('85',plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c0_1 @ X13 ) )
    | ! [X2: $i] :
        ( ( c3_1 @ X2 )
        | ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf('86',plain,
    ( ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ( c3_1 @ X28 )
        | ~ ( c0_1 @ X28 ) )
    | ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
    | ~ ndr1_0
    | hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl1493_046,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ( c3_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ( c3_1 @ X52 )
          | ~ ( c1_1 @ X52 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1458]) ).

thf(zip_derived_cl66,plain,
    ( ~ hskp28
    | ( c1_1 @ a671 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl425,plain,
    ( ( c1_1 @ a671 )
   <= ( c1_1 @ a671 ) ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf(zip_derived_cl3391,plain,
    ( ( ( c3_1 @ a671 )
      | ~ ( c2_1 @ a671 ) )
   <= ( ! [X2: $i] :
          ( ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ( c3_1 @ X52 )
          | ~ ( c1_1 @ X52 ) )
      & ( c1_1 @ a671 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1493,zip_derived_cl425]) ).

thf('87',plain,
    ( ~ ! [X2: $i] :
          ( ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
    | ( c3_1 @ a671 )
    | ~ ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ( c3_1 @ X52 )
          | ~ ( c1_1 @ X52 ) )
    | ~ ( c2_1 @ a671 )
    | ~ ( c1_1 @ a671 ) ),
    inference(split,[status(esa)],[zip_derived_cl3391]) ).

thf(zip_derived_cl425_047,plain,
    ( ( c1_1 @ a671 )
   <= ( c1_1 @ a671 ) ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf(zip_derived_cl226_048,plain,
    ( ! [X8: $i] :
        ( ~ ( c1_1 @ X8 )
        | ~ ( c2_1 @ X8 )
        | ~ ( c3_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ~ ( c1_1 @ X8 )
        | ~ ( c2_1 @ X8 )
        | ~ ( c3_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl806,plain,
    ( ( ~ ( c2_1 @ a671 )
      | ~ ( c3_1 @ a671 ) )
   <= ( ! [X8: $i] :
          ( ~ ( c1_1 @ X8 )
          | ~ ( c2_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
      & ( c1_1 @ a671 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl425,zip_derived_cl226]) ).

thf('88',plain,
    ( ~ ( c3_1 @ a671 )
    | ~ ! [X8: $i] :
          ( ~ ( c1_1 @ X8 )
          | ~ ( c2_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
    | ~ ( c1_1 @ a671 )
    | ~ ( c2_1 @ a671 ) ),
    inference(split,[status(esa)],[zip_derived_cl806]) ).

thf(zip_derived_cl65,plain,
    ( ~ hskp28
    | ( c0_1 @ a671 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('89',plain,
    ( ( c0_1 @ a671 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl65]) ).

thf(zip_derived_cl423,plain,
    ( ( c0_1 @ a671 )
   <= ( c0_1 @ a671 ) ),
    inference(split,[status(esa)],[zip_derived_cl65]) ).

thf(zip_derived_cl198_049,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl787,plain,
    ( ( ~ ( c1_1 @ a671 )
      | ~ ( c2_1 @ a671 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 ) )
      & ( c0_1 @ a671 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl423,zip_derived_cl198]) ).

thf('90',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 ) )
    | ~ ( c0_1 @ a671 )
    | ~ ( c1_1 @ a671 )
    | ~ ( c2_1 @ a671 ) ),
    inference(split,[status(esa)],[zip_derived_cl787]) ).

thf('91',plain,
    ( ( c1_1 @ a671 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf(zip_derived_cl67,plain,
    ( ~ hskp28
    | ( c2_1 @ a671 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('92',plain,
    ( ( c2_1 @ a671 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl67]) ).

thf('93',plain,
    ( hskp16
    | hskp28
    | ~ ndr1_0
    | ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c2_1 @ X33 )
        | ~ ( c3_1 @ X33 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl113,plain,
    ( ~ hskp16
    | ( c1_1 @ a672 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('94',plain,
    ( ( c1_1 @ a672 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl113]) ).

thf(zip_derived_cl114,plain,
    ( ~ hskp16
    | ~ ( c2_1 @ a672 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('95',plain,
    ( ~ ( c2_1 @ a672 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl114]) ).

thf(zip_derived_cl115,plain,
    ( ~ hskp16
    | ~ ( c3_1 @ a672 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('96',plain,
    ( ~ ( c3_1 @ a672 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl115]) ).

thf(zip_derived_cl519,plain,
    ( ( c1_1 @ a672 )
   <= ( c1_1 @ a672 ) ),
    inference(split,[status(esa)],[zip_derived_cl113]) ).

thf(zip_derived_cl242_050,plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c1_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c1_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl955,plain,
    ( ( ( c2_1 @ a672 )
      | ( c3_1 @ a672 ) )
   <= ( ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c3_1 @ X12 )
          | ~ ( c1_1 @ X12 ) )
      & ( c1_1 @ a672 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl519,zip_derived_cl242]) ).

thf('97',plain,
    ( ( c2_1 @ a672 )
    | ( c3_1 @ a672 )
    | ~ ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c3_1 @ X12 )
          | ~ ( c1_1 @ X12 ) )
    | ~ ( c1_1 @ a672 ) ),
    inference(split,[status(esa)],[zip_derived_cl955]) ).

thf('98',plain,
    ( hskp5
    | hskp29
    | ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c1_1 @ X12 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf('99',plain,
    ( ( c1_1 @ a647 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf('100',plain,
    ( ~ ( c0_1 @ a647 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl159,plain,
    ( ~ hskp5
    | ~ ( c3_1 @ a647 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('101',plain,
    ( ~ ( c3_1 @ a647 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl333_051,plain,
    ( ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ( c3_1 @ X52 )
        | ~ ( c1_1 @ X52 ) )
   <= ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ( c3_1 @ X52 )
        | ~ ( c1_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl609_052,plain,
    ( ~ ( c0_1 @ a647 )
   <= ~ ( c0_1 @ a647 ) ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl1469,plain,
    ( ( ~ ( c1_1 @ a647 )
      | ( c3_1 @ a647 ) )
   <= ( ~ ( c0_1 @ a647 )
      & ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ( c3_1 @ X52 )
          | ~ ( c1_1 @ X52 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl333,zip_derived_cl609]) ).

thf('102',plain,
    ( ~ ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ( c3_1 @ X52 )
          | ~ ( c1_1 @ X52 ) )
    | ( c0_1 @ a647 )
    | ( c3_1 @ a647 )
    | ~ ( c1_1 @ a647 ) ),
    inference(split,[status(esa)],[zip_derived_cl1469]) ).

thf('103',plain,
    ( ! [X51: $i] :
        ( ( c0_1 @ X51 )
        | ( c3_1 @ X51 )
        | ~ ( c2_1 @ X51 ) )
    | hskp3
    | hskp6
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl283_053,plain,
    ( ! [X25: $i] :
        ( ( c1_1 @ X25 )
        | ( c3_1 @ X25 )
        | ~ ( c2_1 @ X25 ) )
   <= ! [X25: $i] :
        ( ( c1_1 @ X25 )
        | ( c3_1 @ X25 )
        | ~ ( c2_1 @ X25 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl513_054,plain,
    ( ~ ( c1_1 @ a675 )
   <= ~ ( c1_1 @ a675 ) ),
    inference(split,[status(esa)],[zip_derived_cl110]) ).

thf(zip_derived_cl892,plain,
    ( ( ~ ( c2_1 @ a675 )
      | ( c3_1 @ a675 ) )
   <= ( ~ ( c1_1 @ a675 )
      & ! [X25: $i] :
          ( ( c1_1 @ X25 )
          | ( c3_1 @ X25 )
          | ~ ( c2_1 @ X25 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl283,zip_derived_cl513]) ).

thf('104',plain,
    ( ( c1_1 @ a675 )
    | ( c3_1 @ a675 )
    | ~ ! [X25: $i] :
          ( ( c1_1 @ X25 )
          | ( c3_1 @ X25 )
          | ~ ( c2_1 @ X25 ) )
    | ~ ( c2_1 @ a675 ) ),
    inference(split,[status(esa)],[zip_derived_cl892]) ).

thf(zip_derived_cl109,plain,
    ( ~ hskp17
    | ( c2_1 @ a675 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('105',plain,
    ( ( c2_1 @ a675 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf('106',plain,
    ( ~ hskp17
    | ~ ( c1_1 @ a675 ) ),
    inference(split,[status(esa)],[zip_derived_cl110]) ).

thf(zip_derived_cl111,plain,
    ( ~ hskp17
    | ~ ( c3_1 @ a675 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('107',plain,
    ( ~ hskp17
    | ~ ( c3_1 @ a675 ) ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl23,plain,
    ! [X20: $i] :
      ( ( c1_1 @ X20 )
      | ~ ( c2_1 @ X20 )
      | ~ ( c3_1 @ X20 )
      | ~ ndr1_0
      | hskp17
      | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('108',plain,
    ( ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c2_1 @ X19 )
        | ~ ( c3_1 @ X19 ) )
    | hskp17
    | hskp7
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl370_055,plain,
    ( ! [X71: $i] :
        ( ( c0_1 @ X71 )
        | ( c1_1 @ X71 )
        | ~ ( c3_1 @ X71 ) )
   <= ! [X71: $i] :
        ( ( c0_1 @ X71 )
        | ( c1_1 @ X71 )
        | ~ ( c3_1 @ X71 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl475_056,plain,
    ( ~ ( c0_1 @ a693 )
   <= ~ ( c0_1 @ a693 ) ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl1582,plain,
    ( ( ~ ( c3_1 @ a693 )
      | ( c1_1 @ a693 ) )
   <= ( ~ ( c0_1 @ a693 )
      & ! [X71: $i] :
          ( ( c0_1 @ X71 )
          | ( c1_1 @ X71 )
          | ~ ( c3_1 @ X71 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl370,zip_derived_cl475]) ).

thf('109',plain,
    ( ( c0_1 @ a693 )
    | ( c1_1 @ a693 )
    | ~ ! [X71: $i] :
          ( ( c0_1 @ X71 )
          | ( c1_1 @ X71 )
          | ~ ( c3_1 @ X71 ) )
    | ~ ( c3_1 @ a693 ) ),
    inference(split,[status(esa)],[zip_derived_cl1582]) ).

thf('110',plain,
    ( ~ hskp22
    | ~ ( c0_1 @ a693 ) ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl4181,plain,
    ( ( c1_1 @ a693 )
   <= ( c1_1 @ a693 ) ),
    inference(split,[status(esa)],[zip_derived_cl1582]) ).

thf(zip_derived_cl226_057,plain,
    ( ! [X8: $i] :
        ( ~ ( c1_1 @ X8 )
        | ~ ( c2_1 @ X8 )
        | ~ ( c3_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ~ ( c1_1 @ X8 )
        | ~ ( c2_1 @ X8 )
        | ~ ( c3_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl4202,plain,
    ( ( ~ ( c2_1 @ a693 )
      | ~ ( c3_1 @ a693 ) )
   <= ( ! [X8: $i] :
          ( ~ ( c1_1 @ X8 )
          | ~ ( c2_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
      & ( c1_1 @ a693 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4181,zip_derived_cl226]) ).

thf('111',plain,
    ( ~ ( c1_1 @ a693 )
    | ~ ( c2_1 @ a693 )
    | ~ ( c3_1 @ a693 )
    | ~ ! [X8: $i] :
          ( ~ ( c1_1 @ X8 )
          | ~ ( c2_1 @ X8 )
          | ~ ( c3_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl4202]) ).

thf(zip_derived_cl149,plain,
    ( ~ hskp7
    | ( c3_1 @ a651 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('112',plain,
    ( ( c3_1 @ a651 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl150,plain,
    ( ~ hskp7
    | ~ ( c0_1 @ a651 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('113',plain,
    ( ~ ( c0_1 @ a651 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf(zip_derived_cl151,plain,
    ( ~ hskp7
    | ~ ( c1_1 @ a651 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('114',plain,
    ( ~ ( c1_1 @ a651 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl370_058,plain,
    ( ! [X71: $i] :
        ( ( c0_1 @ X71 )
        | ( c1_1 @ X71 )
        | ~ ( c3_1 @ X71 ) )
   <= ! [X71: $i] :
        ( ( c0_1 @ X71 )
        | ( c1_1 @ X71 )
        | ~ ( c3_1 @ X71 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl593,plain,
    ( ~ ( c0_1 @ a651 )
   <= ~ ( c0_1 @ a651 ) ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf(zip_derived_cl1577,plain,
    ( ( ~ ( c3_1 @ a651 )
      | ( c1_1 @ a651 ) )
   <= ( ~ ( c0_1 @ a651 )
      & ! [X71: $i] :
          ( ( c0_1 @ X71 )
          | ( c1_1 @ X71 )
          | ~ ( c3_1 @ X71 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl370,zip_derived_cl593]) ).

thf('115',plain,
    ( ( c0_1 @ a651 )
    | ( c1_1 @ a651 )
    | ~ ! [X71: $i] :
          ( ( c0_1 @ X71 )
          | ( c1_1 @ X71 )
          | ~ ( c3_1 @ X71 ) )
    | ~ ( c3_1 @ a651 ) ),
    inference(split,[status(esa)],[zip_derived_cl1577]) ).

thf(zip_derived_cl323_059,plain,
    ( ! [X45: $i] :
        ( ( c0_1 @ X45 )
        | ~ ( c1_1 @ X45 )
        | ~ ( c2_1 @ X45 ) )
   <= ! [X45: $i] :
        ( ( c0_1 @ X45 )
        | ~ ( c1_1 @ X45 )
        | ~ ( c2_1 @ X45 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl198_060,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl1290,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 ) )
      & ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ~ ( c1_1 @ X45 )
          | ~ ( c2_1 @ X45 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl323,zip_derived_cl198]) ).

thf(zip_derived_cl1325,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 ) )
      & ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ~ ( c1_1 @ X45 )
          | ~ ( c2_1 @ X45 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1290]) ).

thf(zip_derived_cl487_061,plain,
    ( ( c1_1 @ a686 )
   <= ( c1_1 @ a686 ) ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(zip_derived_cl1928,plain,
    ( ~ ( c2_1 @ a686 )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 ) )
      & ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ~ ( c1_1 @ X45 )
          | ~ ( c2_1 @ X45 ) )
      & ( c1_1 @ a686 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1325,zip_derived_cl487]) ).

thf(zip_derived_cl98,plain,
    ( ~ hskp20
    | ( c2_1 @ a686 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl489,plain,
    ( ( c2_1 @ a686 )
   <= ( c2_1 @ a686 ) ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf('116',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 ) )
    | ~ ( c1_1 @ a686 )
    | ~ ( c2_1 @ a686 )
    | ~ ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ~ ( c1_1 @ X45 )
          | ~ ( c2_1 @ X45 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1928,zip_derived_cl489]) ).

thf('117',plain,
    ( ( c1_1 @ a645 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl166,plain,
    ( ~ hskp3
    | ( c3_1 @ a645 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('118',plain,
    ( ( c3_1 @ a645 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl166]) ).

thf(zip_derived_cl167,plain,
    ( ~ hskp3
    | ~ ( c2_1 @ a645 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('119',plain,
    ( ~ ( c2_1 @ a645 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl167]) ).

thf(zip_derived_cl623_062,plain,
    ( ( c1_1 @ a645 )
   <= ( c1_1 @ a645 ) ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl218_063,plain,
    ( ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c3_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c3_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl1071,plain,
    ( ( ( c2_1 @ a645 )
      | ~ ( c3_1 @ a645 ) )
   <= ( ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
      & ( c1_1 @ a645 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl623,zip_derived_cl218]) ).

thf('120',plain,
    ( ~ ( c1_1 @ a645 )
    | ( c2_1 @ a645 )
    | ~ ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
    | ~ ( c3_1 @ a645 ) ),
    inference(split,[status(esa)],[zip_derived_cl1071]) ).

thf(zip_derived_cl323_064,plain,
    ( ! [X45: $i] :
        ( ( c0_1 @ X45 )
        | ~ ( c1_1 @ X45 )
        | ~ ( c2_1 @ X45 ) )
   <= ! [X45: $i] :
        ( ( c0_1 @ X45 )
        | ~ ( c1_1 @ X45 )
        | ~ ( c2_1 @ X45 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl206_065,plain,
    ( ! [X2: $i] :
        ( ( c3_1 @ X2 )
        | ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ( c3_1 @ X2 )
        | ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl1291,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ~ ( c1_1 @ X45 )
          | ~ ( c2_1 @ X45 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl323,zip_derived_cl206]) ).

thf(zip_derived_cl1326,plain,
    ( ! [X0: $i] :
        ( ( c3_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ~ ( c1_1 @ X45 )
          | ~ ( c2_1 @ X45 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1291]) ).

thf(zip_derived_cl425_066,plain,
    ( ( c1_1 @ a671 )
   <= ( c1_1 @ a671 ) ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf(zip_derived_cl3189,plain,
    ( ( ~ ( c2_1 @ a671 )
      | ( c3_1 @ a671 ) )
   <= ( ! [X2: $i] :
          ( ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ~ ( c1_1 @ X45 )
          | ~ ( c2_1 @ X45 ) )
      & ( c1_1 @ a671 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1326,zip_derived_cl425]) ).

thf('121',plain,
    ( ~ ! [X2: $i] :
          ( ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
    | ( c3_1 @ a671 )
    | ~ ( c1_1 @ a671 )
    | ~ ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ~ ( c1_1 @ X45 )
          | ~ ( c2_1 @ X45 ) )
    | ~ ( c2_1 @ a671 ) ),
    inference(split,[status(esa)],[zip_derived_cl3189]) ).

thf(zip_derived_cl283_067,plain,
    ( ! [X25: $i] :
        ( ( c1_1 @ X25 )
        | ( c3_1 @ X25 )
        | ~ ( c2_1 @ X25 ) )
   <= ! [X25: $i] :
        ( ( c1_1 @ X25 )
        | ( c3_1 @ X25 )
        | ~ ( c2_1 @ X25 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl139,plain,
    ( ~ hskp10
    | ~ ( c1_1 @ a656 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl571,plain,
    ( ~ ( c1_1 @ a656 )
   <= ~ ( c1_1 @ a656 ) ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf(zip_derived_cl888,plain,
    ( ( ~ ( c2_1 @ a656 )
      | ( c3_1 @ a656 ) )
   <= ( ~ ( c1_1 @ a656 )
      & ! [X25: $i] :
          ( ( c1_1 @ X25 )
          | ( c3_1 @ X25 )
          | ~ ( c2_1 @ X25 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl283,zip_derived_cl571]) ).

thf(zip_derived_cl2548,plain,
    ( ( c3_1 @ a656 )
   <= ( c3_1 @ a656 ) ),
    inference(split,[status(esa)],[zip_derived_cl888]) ).

thf(zip_derived_cl261_068,plain,
    ( ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c2_1 @ X19 )
        | ~ ( c3_1 @ X19 ) )
   <= ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c2_1 @ X19 )
        | ~ ( c3_1 @ X19 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl226_069,plain,
    ( ! [X8: $i] :
        ( ~ ( c1_1 @ X8 )
        | ~ ( c2_1 @ X8 )
        | ~ ( c3_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ~ ( c1_1 @ X8 )
        | ~ ( c2_1 @ X8 )
        | ~ ( c3_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl716,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X8: $i] :
          ( ~ ( c1_1 @ X8 )
          | ~ ( c2_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
      & ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c2_1 @ X19 )
          | ~ ( c3_1 @ X19 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl261,zip_derived_cl226]) ).

thf(zip_derived_cl744,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X8: $i] :
          ( ~ ( c1_1 @ X8 )
          | ~ ( c2_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
      & ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c2_1 @ X19 )
          | ~ ( c3_1 @ X19 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl716]) ).

thf(zip_derived_cl138,plain,
    ( ~ hskp10
    | ( c2_1 @ a656 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl569,plain,
    ( ( c2_1 @ a656 )
   <= ( c2_1 @ a656 ) ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf(zip_derived_cl1863,plain,
    ( ~ ( c3_1 @ a656 )
   <= ( ! [X8: $i] :
          ( ~ ( c1_1 @ X8 )
          | ~ ( c2_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
      & ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c2_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
      & ( c2_1 @ a656 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl744,zip_derived_cl569]) ).

thf('122',plain,
    ( ~ ( c3_1 @ a656 )
    | ~ ! [X8: $i] :
          ( ~ ( c1_1 @ X8 )
          | ~ ( c2_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
    | ~ ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c2_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
    | ~ ( c2_1 @ a656 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2548,zip_derived_cl1863]) ).

thf(zip_derived_cl137,plain,
    ( ~ hskp10
    | ( c0_1 @ a656 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl567,plain,
    ( ( c0_1 @ a656 )
   <= ( c0_1 @ a656 ) ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(zip_derived_cl289_070,plain,
    ( ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ~ ( c0_1 @ X31 )
        | ~ ( c2_1 @ X31 ) )
   <= ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ~ ( c0_1 @ X31 )
        | ~ ( c2_1 @ X31 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl1016,plain,
    ( ( ( c1_1 @ a656 )
      | ~ ( c2_1 @ a656 ) )
   <= ( ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ~ ( c0_1 @ X31 )
          | ~ ( c2_1 @ X31 ) )
      & ( c0_1 @ a656 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl567,zip_derived_cl289]) ).

thf('123',plain,
    ( ~ ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ~ ( c0_1 @ X31 )
          | ~ ( c2_1 @ X31 ) )
    | ( c1_1 @ a656 )
    | ~ ( c2_1 @ a656 )
    | ~ ( c0_1 @ a656 ) ),
    inference(split,[status(esa)],[zip_derived_cl1016]) ).

thf('124',plain,
    ( ( c0_1 @ a656 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf('125',plain,
    ( ( c2_1 @ a656 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf('126',plain,
    ( ( c1_1 @ a686 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf('127',plain,
    ( ( c2_1 @ a686 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf(zip_derived_cl99,plain,
    ( ~ hskp20
    | ~ ( c3_1 @ a686 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('128',plain,
    ( ~ ( c3_1 @ a686 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl487_071,plain,
    ( ( c1_1 @ a686 )
   <= ( c1_1 @ a686 ) ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(zip_derived_cl7,plain,
    ! [X1: $i] :
      ( ( c3_1 @ X1 )
      | ~ ( c1_1 @ X1 )
      | ~ ( c2_1 @ X1 )
      | ~ ndr1_0
      | hskp10
      | hskp29 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl202,plain,
    ( ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c2_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c2_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl865,plain,
    ( ( ( c3_1 @ a686 )
      | ~ ( c2_1 @ a686 ) )
   <= ( ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c2_1 @ X1 ) )
      & ( c1_1 @ a686 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl487,zip_derived_cl202]) ).

thf('129',plain,
    ( ~ ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c2_1 @ X1 ) )
    | ~ ( c2_1 @ a686 )
    | ( c3_1 @ a686 )
    | ~ ( c1_1 @ a686 ) ),
    inference(split,[status(esa)],[zip_derived_cl865]) ).

thf(zip_derived_cl15,plain,
    ! [X10: $i] :
      ( ( c2_1 @ X10 )
      | ~ ( c0_1 @ X10 )
      | ~ ( c3_1 @ X10 )
      | ~ ndr1_0
      | hskp20
      | hskp22 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('130',plain,
    ( hskp20
    | hskp22
    | ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c3_1 @ X9 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl333_072,plain,
    ( ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ( c3_1 @ X52 )
        | ~ ( c1_1 @ X52 ) )
   <= ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ( c3_1 @ X52 )
        | ~ ( c1_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl635_073,plain,
    ( ~ ( c0_1 @ a643 )
   <= ~ ( c0_1 @ a643 ) ),
    inference(split,[status(esa)],[zip_derived_cl171]) ).

thf(zip_derived_cl1468,plain,
    ( ( ~ ( c1_1 @ a643 )
      | ( c3_1 @ a643 ) )
   <= ( ~ ( c0_1 @ a643 )
      & ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ( c3_1 @ X52 )
          | ~ ( c1_1 @ X52 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl333,zip_derived_cl635]) ).

thf('131',plain,
    ( ( c3_1 @ a643 )
    | ( c0_1 @ a643 )
    | ~ ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ( c3_1 @ X52 )
          | ~ ( c1_1 @ X52 ) )
    | ~ ( c1_1 @ a643 ) ),
    inference(split,[status(esa)],[zip_derived_cl1468]) ).

thf(zip_derived_cl169,plain,
    ( ~ hskp2
    | ( c1_1 @ a643 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('132',plain,
    ( ( c1_1 @ a643 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl169]) ).

thf(zip_derived_cl170,plain,
    ( ~ hskp2
    | ( c2_1 @ a643 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('133',plain,
    ( ( c2_1 @ a643 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf('134',plain,
    ( ~ ( c0_1 @ a643 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl171]) ).

thf(zip_derived_cl631,plain,
    ( ( c1_1 @ a643 )
   <= ( c1_1 @ a643 ) ),
    inference(split,[status(esa)],[zip_derived_cl169]) ).

thf(zip_derived_cl226_074,plain,
    ( ! [X8: $i] :
        ( ~ ( c1_1 @ X8 )
        | ~ ( c2_1 @ X8 )
        | ~ ( c3_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ~ ( c1_1 @ X8 )
        | ~ ( c2_1 @ X8 )
        | ~ ( c3_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl1076,plain,
    ( ( ~ ( c2_1 @ a643 )
      | ~ ( c3_1 @ a643 ) )
   <= ( ! [X8: $i] :
          ( ~ ( c1_1 @ X8 )
          | ~ ( c2_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
      & ( c1_1 @ a643 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl631,zip_derived_cl226]) ).

thf('135',plain,
    ( ~ ! [X8: $i] :
          ( ~ ( c1_1 @ X8 )
          | ~ ( c2_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
    | ~ ( c3_1 @ a643 )
    | ~ ( c2_1 @ a643 )
    | ~ ( c1_1 @ a643 ) ),
    inference(split,[status(esa)],[zip_derived_cl1076]) ).

thf(zip_derived_cl551_075,plain,
    ( ( c0_1 @ a660 )
   <= ( c0_1 @ a660 ) ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf(zip_derived_cl246_076,plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c0_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c0_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl991,plain,
    ( ( ( c2_1 @ a660 )
      | ( c3_1 @ a660 ) )
   <= ( ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ( c3_1 @ X13 )
          | ~ ( c0_1 @ X13 ) )
      & ( c0_1 @ a660 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl551,zip_derived_cl246]) ).

thf('136',plain,
    ( ( c3_1 @ a660 )
    | ( c2_1 @ a660 )
    | ~ ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ( c3_1 @ X13 )
          | ~ ( c0_1 @ X13 ) )
    | ~ ( c0_1 @ a660 ) ),
    inference(split,[status(esa)],[zip_derived_cl991]) ).

thf('137',plain,
    ( ( c0_1 @ a660 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf(zip_derived_cl131,plain,
    ( ~ hskp12
    | ~ ( c2_1 @ a660 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('138',plain,
    ( ~ ( c2_1 @ a660 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf(zip_derived_cl551_077,plain,
    ( ( c0_1 @ a660 )
   <= ( c0_1 @ a660 ) ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf(zip_derived_cl230_078,plain,
    ( ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c3_1 @ X9 ) )
   <= ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c3_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl990,plain,
    ( ( ( c2_1 @ a660 )
      | ~ ( c3_1 @ a660 ) )
   <= ( ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
      & ( c0_1 @ a660 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl551,zip_derived_cl230]) ).

thf('139',plain,
    ( ~ ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
    | ~ ( c3_1 @ a660 )
    | ( c2_1 @ a660 )
    | ~ ( c0_1 @ a660 ) ),
    inference(split,[status(esa)],[zip_derived_cl990]) ).

thf(zip_derived_cl125,plain,
    ( ~ hskp13
    | ( c0_1 @ a661 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl543,plain,
    ( ( c0_1 @ a661 )
   <= ( c0_1 @ a661 ) ),
    inference(split,[status(esa)],[zip_derived_cl125]) ).

thf(zip_derived_cl206_079,plain,
    ( ! [X2: $i] :
        ( ( c3_1 @ X2 )
        | ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ( c3_1 @ X2 )
        | ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl959,plain,
    ( ( ( c3_1 @ a661 )
      | ~ ( c2_1 @ a661 ) )
   <= ( ! [X2: $i] :
          ( ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ( c0_1 @ a661 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl543,zip_derived_cl206]) ).

thf('140',plain,
    ( ( c3_1 @ a661 )
    | ~ ( c2_1 @ a661 )
    | ~ ! [X2: $i] :
          ( ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
    | ~ ( c0_1 @ a661 ) ),
    inference(split,[status(esa)],[zip_derived_cl959]) ).

thf(zip_derived_cl543_080,plain,
    ( ( c0_1 @ a661 )
   <= ( c0_1 @ a661 ) ),
    inference(split,[status(esa)],[zip_derived_cl125]) ).

thf(zip_derived_cl289_081,plain,
    ( ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ~ ( c0_1 @ X31 )
        | ~ ( c2_1 @ X31 ) )
   <= ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ~ ( c0_1 @ X31 )
        | ~ ( c2_1 @ X31 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl981,plain,
    ( ( ( c1_1 @ a661 )
      | ~ ( c2_1 @ a661 ) )
   <= ( ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ~ ( c0_1 @ X31 )
          | ~ ( c2_1 @ X31 ) )
      & ( c0_1 @ a661 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl543,zip_derived_cl289]) ).

thf('141',plain,
    ( ~ ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ~ ( c0_1 @ X31 )
          | ~ ( c2_1 @ X31 ) )
    | ~ ( c2_1 @ a661 )
    | ( c1_1 @ a661 )
    | ~ ( c0_1 @ a661 ) ),
    inference(split,[status(esa)],[zip_derived_cl981]) ).

thf(zip_derived_cl543_082,plain,
    ( ( c0_1 @ a661 )
   <= ( c0_1 @ a661 ) ),
    inference(split,[status(esa)],[zip_derived_cl125]) ).

thf(zip_derived_cl246_083,plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c0_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c0_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl961,plain,
    ( ( ( c2_1 @ a661 )
      | ( c3_1 @ a661 ) )
   <= ( ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ( c3_1 @ X13 )
          | ~ ( c0_1 @ X13 ) )
      & ( c0_1 @ a661 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl543,zip_derived_cl246]) ).

thf('142',plain,
    ( ( c2_1 @ a661 )
    | ~ ( c0_1 @ a661 )
    | ~ ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ( c3_1 @ X13 )
          | ~ ( c0_1 @ X13 ) )
    | ( c3_1 @ a661 ) ),
    inference(split,[status(esa)],[zip_derived_cl961]) ).

thf(zip_derived_cl543_084,plain,
    ( ( c0_1 @ a661 )
   <= ( c0_1 @ a661 ) ),
    inference(split,[status(esa)],[zip_derived_cl125]) ).

thf(zip_derived_cl286_085,plain,
    ( ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ( c3_1 @ X28 )
        | ~ ( c0_1 @ X28 ) )
   <= ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ( c3_1 @ X28 )
        | ~ ( c0_1 @ X28 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl965,plain,
    ( ( ( c1_1 @ a661 )
      | ( c3_1 @ a661 ) )
   <= ( ! [X28: $i] :
          ( ( c1_1 @ X28 )
          | ( c3_1 @ X28 )
          | ~ ( c0_1 @ X28 ) )
      & ( c0_1 @ a661 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl543,zip_derived_cl286]) ).

thf('143',plain,
    ( ( c3_1 @ a661 )
    | ~ ( c0_1 @ a661 )
    | ~ ! [X28: $i] :
          ( ( c1_1 @ X28 )
          | ( c3_1 @ X28 )
          | ~ ( c0_1 @ X28 ) )
    | ( c1_1 @ a661 ) ),
    inference(split,[status(esa)],[zip_derived_cl965]) ).

thf('144',plain,
    ( ( c0_1 @ a661 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl125]) ).

thf(zip_derived_cl126,plain,
    ( ~ hskp13
    | ~ ( c1_1 @ a661 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('145',plain,
    ( ~ ( c1_1 @ a661 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl127,plain,
    ( ~ hskp13
    | ~ ( c3_1 @ a661 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('146',plain,
    ( ~ hskp13
    | ~ ( c3_1 @ a661 ) ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl2,plain,
    ( hskp2
    | hskp22
    | hskp19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('147',plain,
    ( hskp19
    | hskp22
    | hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl19,plain,
    ! [X14: $i] :
      ( ( c2_1 @ X14 )
      | ( c3_1 @ X14 )
      | ~ ( c0_1 @ X14 )
      | ~ ndr1_0
      | hskp8
      | hskp19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('148',plain,
    ( hskp19
    | ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c0_1 @ X13 ) )
    | hskp8
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl145,plain,
    ( ~ hskp8
    | ( c0_1 @ a652 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('149',plain,
    ( ( c0_1 @ a652 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf('150',plain,
    ( ( c3_1 @ a652 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf('151',plain,
    ( ~ ( c2_1 @ a652 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl583,plain,
    ( ( c0_1 @ a652 )
   <= ( c0_1 @ a652 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl230_086,plain,
    ( ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c3_1 @ X9 ) )
   <= ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c3_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl1032,plain,
    ( ( ( c2_1 @ a652 )
      | ~ ( c3_1 @ a652 ) )
   <= ( ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
      & ( c0_1 @ a652 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl583,zip_derived_cl230]) ).

thf('152',plain,
    ( ~ ( c0_1 @ a652 )
    | ( c2_1 @ a652 )
    | ~ ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
    | ~ ( c3_1 @ a652 ) ),
    inference(split,[status(esa)],[zip_derived_cl1032]) ).

thf(zip_derived_cl354_087,plain,
    ( ! [X62: $i] :
        ( ( c0_1 @ X62 )
        | ( c2_1 @ X62 )
        | ~ ( c3_1 @ X62 ) )
   <= ! [X62: $i] :
        ( ( c0_1 @ X62 )
        | ( c2_1 @ X62 )
        | ~ ( c3_1 @ X62 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl230_088,plain,
    ( ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c3_1 @ X9 ) )
   <= ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c3_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl1513,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ( c2_1 @ X0 )
        | ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
      & ! [X62: $i] :
          ( ( c0_1 @ X62 )
          | ( c2_1 @ X62 )
          | ~ ( c3_1 @ X62 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl354,zip_derived_cl230]) ).

thf(zip_derived_cl1546,plain,
    ( ! [X0: $i] :
        ( ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
      & ! [X62: $i] :
          ( ( c0_1 @ X62 )
          | ( c2_1 @ X62 )
          | ~ ( c3_1 @ X62 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1513]) ).

thf(zip_derived_cl744_089,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X8: $i] :
          ( ~ ( c1_1 @ X8 )
          | ~ ( c2_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
      & ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c2_1 @ X19 )
          | ~ ( c3_1 @ X19 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl716]) ).

thf(zip_derived_cl2365,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X8: $i] :
          ( ~ ( c1_1 @ X8 )
          | ~ ( c2_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
      & ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
      & ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c2_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
      & ! [X62: $i] :
          ( ( c0_1 @ X62 )
          | ( c2_1 @ X62 )
          | ~ ( c3_1 @ X62 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1546,zip_derived_cl744]) ).

thf(zip_derived_cl2414,plain,
    ( ! [X0: $i] :
        ~ ( c3_1 @ X0 )
   <= ( ! [X8: $i] :
          ( ~ ( c1_1 @ X8 )
          | ~ ( c2_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
      & ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
      & ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c2_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
      & ! [X62: $i] :
          ( ( c0_1 @ X62 )
          | ( c2_1 @ X62 )
          | ~ ( c3_1 @ X62 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2365]) ).

thf(zip_derived_cl101,plain,
    ( ~ hskp19
    | ( c3_1 @ a682 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl495,plain,
    ( ( c3_1 @ a682 )
   <= ( c3_1 @ a682 ) ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf('153',plain,
    ( ~ ! [X62: $i] :
          ( ( c0_1 @ X62 )
          | ( c2_1 @ X62 )
          | ~ ( c3_1 @ X62 ) )
    | ~ ! [X8: $i] :
          ( ~ ( c1_1 @ X8 )
          | ~ ( c2_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
    | ~ ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c2_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
    | ~ ( c3_1 @ a682 )
    | ~ ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c3_1 @ X9 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2414,zip_derived_cl495]) ).

thf(zip_derived_cl293_090,plain,
    ( ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c2_1 @ X33 )
        | ~ ( c3_1 @ X33 ) )
   <= ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c2_1 @ X33 )
        | ~ ( c3_1 @ X33 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl102,plain,
    ( ~ hskp19
    | ~ ( c1_1 @ a682 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl497,plain,
    ( ~ ( c1_1 @ a682 )
   <= ~ ( c1_1 @ a682 ) ),
    inference(split,[status(esa)],[zip_derived_cl102]) ).

thf(zip_derived_cl1124,plain,
    ( ( ~ ( c3_1 @ a682 )
      | ( c2_1 @ a682 ) )
   <= ( ~ ( c1_1 @ a682 )
      & ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ( c2_1 @ X33 )
          | ~ ( c3_1 @ X33 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl293,zip_derived_cl497]) ).

thf('154',plain,
    ( ~ ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ( c2_1 @ X33 )
          | ~ ( c3_1 @ X33 ) )
    | ( c1_1 @ a682 )
    | ( c2_1 @ a682 )
    | ~ ( c3_1 @ a682 ) ),
    inference(split,[status(esa)],[zip_derived_cl1124]) ).

thf('155',plain,
    ( ( c3_1 @ a682 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf('156',plain,
    ( ~ ( c1_1 @ a682 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl102]) ).

thf(zip_derived_cl103,plain,
    ( ~ hskp19
    | ~ ( c2_1 @ a682 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('157',plain,
    ( ~ ( c2_1 @ a682 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl103]) ).

thf(zip_derived_cl46,plain,
    ! [X64: $i,X65: $i] :
      ( ( c0_1 @ X64 )
      | ( c2_1 @ X64 )
      | ~ ( c3_1 @ X64 )
      | ~ ndr1_0
      | ( c1_1 @ X65 )
      | ( c2_1 @ X65 )
      | ~ ( c3_1 @ X65 )
      | ~ ndr1_0
      | hskp27 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('158',plain,
    ( hskp27
    | ! [X62: $i] :
        ( ( c0_1 @ X62 )
        | ( c2_1 @ X62 )
        | ~ ( c3_1 @ X62 ) )
    | ~ ndr1_0
    | ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c2_1 @ X33 )
        | ~ ( c3_1 @ X33 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf('159',plain,
    ( hskp12
    | ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ( c3_1 @ X52 )
        | ~ ( c1_1 @ X52 ) )
    | hskp13
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl89,plain,
    ( ~ hskp22
    | ( c2_1 @ a693 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('160',plain,
    ( ( c2_1 @ a693 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf(zip_derived_cl90,plain,
    ( ~ hskp22
    | ( c3_1 @ a693 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('161',plain,
    ( ( c3_1 @ a693 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl744_091,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X8: $i] :
          ( ~ ( c1_1 @ X8 )
          | ~ ( c2_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
      & ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c2_1 @ X19 )
          | ~ ( c3_1 @ X19 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl716]) ).

thf(zip_derived_cl471,plain,
    ( ( c2_1 @ a693 )
   <= ( c2_1 @ a693 ) ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf(zip_derived_cl1868,plain,
    ( ~ ( c3_1 @ a693 )
   <= ( ! [X8: $i] :
          ( ~ ( c1_1 @ X8 )
          | ~ ( c2_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
      & ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c2_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
      & ( c2_1 @ a693 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl744,zip_derived_cl471]) ).

thf(zip_derived_cl473,plain,
    ( ( c3_1 @ a693 )
   <= ( c3_1 @ a693 ) ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf('162',plain,
    ( ~ ( c2_1 @ a693 )
    | ~ ! [X8: $i] :
          ( ~ ( c1_1 @ X8 )
          | ~ ( c2_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
    | ~ ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c2_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
    | ~ ( c3_1 @ a693 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1868,zip_derived_cl473]) ).

thf(zip_derived_cl70,plain,
    ( ~ hskp27
    | ( c2_1 @ a655 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('163',plain,
    ( ( c2_1 @ a655 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl70]) ).

thf(zip_derived_cl71,plain,
    ( ~ hskp27
    | ( c3_1 @ a655 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('164',plain,
    ( ( c3_1 @ a655 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl71]) ).

thf(zip_derived_cl744_092,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X8: $i] :
          ( ~ ( c1_1 @ X8 )
          | ~ ( c2_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
      & ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c2_1 @ X19 )
          | ~ ( c3_1 @ X19 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl716]) ).

thf(zip_derived_cl433,plain,
    ( ( c2_1 @ a655 )
   <= ( c2_1 @ a655 ) ),
    inference(split,[status(esa)],[zip_derived_cl70]) ).

thf(zip_derived_cl1870,plain,
    ( ~ ( c3_1 @ a655 )
   <= ( ! [X8: $i] :
          ( ~ ( c1_1 @ X8 )
          | ~ ( c2_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
      & ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c2_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
      & ( c2_1 @ a655 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl744,zip_derived_cl433]) ).

thf(zip_derived_cl435,plain,
    ( ( c3_1 @ a655 )
   <= ( c3_1 @ a655 ) ),
    inference(split,[status(esa)],[zip_derived_cl71]) ).

thf('165',plain,
    ( ~ ( c2_1 @ a655 )
    | ~ ! [X8: $i] :
          ( ~ ( c1_1 @ X8 )
          | ~ ( c2_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
    | ~ ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c2_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
    | ~ ( c3_1 @ a655 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1870,zip_derived_cl435]) ).

thf(zip_derived_cl61,plain,
    ( ~ hskp29
    | ( c1_1 @ a688 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl415,plain,
    ( ( c1_1 @ a688 )
   <= ( c1_1 @ a688 ) ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(zip_derived_cl226_093,plain,
    ( ! [X8: $i] :
        ( ~ ( c1_1 @ X8 )
        | ~ ( c2_1 @ X8 )
        | ~ ( c3_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ~ ( c1_1 @ X8 )
        | ~ ( c2_1 @ X8 )
        | ~ ( c3_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl785,plain,
    ( ( ~ ( c2_1 @ a688 )
      | ~ ( c3_1 @ a688 ) )
   <= ( ! [X8: $i] :
          ( ~ ( c1_1 @ X8 )
          | ~ ( c2_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
      & ( c1_1 @ a688 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl415,zip_derived_cl226]) ).

thf('166',plain,
    ( ~ ! [X8: $i] :
          ( ~ ( c1_1 @ X8 )
          | ~ ( c2_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
    | ~ ( c1_1 @ a688 )
    | ~ ( c3_1 @ a688 )
    | ~ ( c2_1 @ a688 ) ),
    inference(split,[status(esa)],[zip_derived_cl785]) ).

thf('167',plain,
    ( ! [X27: $i] :
        ( ( c2_1 @ X27 )
        | ~ ( c0_1 @ X27 )
        | ~ ( c1_1 @ X27 ) )
    | ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c2_1 @ X19 )
        | ~ ( c3_1 @ X19 ) )
    | ! [X25: $i] :
        ( ( c1_1 @ X25 )
        | ( c3_1 @ X25 )
        | ~ ( c2_1 @ X25 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl108,plain,
    ( ~ hskp17
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('168',plain,
    ( ndr1_0
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl108]) ).

thf(zip_derived_cl120,plain,
    ( ~ hskp14
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('169',plain,
    ( ndr1_0
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl120]) ).

thf(zip_derived_cl172,plain,
    ( ~ hskp1
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('170',plain,
    ( ndr1_0
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl172]) ).

thf(zip_derived_cl3,plain,
    ( hskp1
    | hskp14
    | hskp17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('171',plain,
    ( hskp1
    | hskp17
    | hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl551_094,plain,
    ( ( c0_1 @ a660 )
   <= ( c0_1 @ a660 ) ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf(zip_derived_cl298_095,plain,
    ( ! [X34: $i] :
        ( ( c1_1 @ X34 )
        | ( c2_1 @ X34 )
        | ~ ( c0_1 @ X34 ) )
   <= ! [X34: $i] :
        ( ( c1_1 @ X34 )
        | ( c2_1 @ X34 )
        | ~ ( c0_1 @ X34 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl31]) ).

thf(zip_derived_cl1188,plain,
    ( ( ( c1_1 @ a660 )
      | ( c2_1 @ a660 ) )
   <= ( ! [X34: $i] :
          ( ( c1_1 @ X34 )
          | ( c2_1 @ X34 )
          | ~ ( c0_1 @ X34 ) )
      & ( c0_1 @ a660 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl551,zip_derived_cl298]) ).

thf('172',plain,
    ( ~ ! [X34: $i] :
          ( ( c1_1 @ X34 )
          | ( c2_1 @ X34 )
          | ~ ( c0_1 @ X34 ) )
    | ( c1_1 @ a660 )
    | ( c2_1 @ a660 )
    | ~ ( c0_1 @ a660 ) ),
    inference(split,[status(esa)],[zip_derived_cl1188]) ).

thf('173',plain,
    ( ( c1_1 @ a688 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(zip_derived_cl62,plain,
    ( ~ hskp29
    | ( c2_1 @ a688 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('174',plain,
    ( ( c2_1 @ a688 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf(zip_derived_cl63,plain,
    ( ~ hskp29
    | ( c3_1 @ a688 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('175',plain,
    ( ( c3_1 @ a688 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl63]) ).

thf(zip_derived_cl365,plain,
    ( ! [X70: $i] :
        ( ~ ( c0_1 @ X70 )
        | ~ ( c1_1 @ X70 )
        | ~ ( c3_1 @ X70 ) )
   <= ! [X70: $i] :
        ( ~ ( c0_1 @ X70 )
        | ~ ( c1_1 @ X70 )
        | ~ ( c3_1 @ X70 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl323_096,plain,
    ( ! [X45: $i] :
        ( ( c0_1 @ X45 )
        | ~ ( c1_1 @ X45 )
        | ~ ( c2_1 @ X45 ) )
   <= ! [X45: $i] :
        ( ( c0_1 @ X45 )
        | ~ ( c1_1 @ X45 )
        | ~ ( c2_1 @ X45 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl1312,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ~ ( c1_1 @ X45 )
          | ~ ( c2_1 @ X45 ) )
      & ! [X70: $i] :
          ( ~ ( c0_1 @ X70 )
          | ~ ( c1_1 @ X70 )
          | ~ ( c3_1 @ X70 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl365,zip_derived_cl323]) ).

thf(zip_derived_cl1324,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ~ ( c1_1 @ X45 )
          | ~ ( c2_1 @ X45 ) )
      & ! [X70: $i] :
          ( ~ ( c0_1 @ X70 )
          | ~ ( c1_1 @ X70 )
          | ~ ( c3_1 @ X70 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1312]) ).

thf(zip_derived_cl415_097,plain,
    ( ( c1_1 @ a688 )
   <= ( c1_1 @ a688 ) ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(zip_derived_cl2221,plain,
    ( ( ~ ( c3_1 @ a688 )
      | ~ ( c2_1 @ a688 ) )
   <= ( ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ~ ( c1_1 @ X45 )
          | ~ ( c2_1 @ X45 ) )
      & ! [X70: $i] :
          ( ~ ( c0_1 @ X70 )
          | ~ ( c1_1 @ X70 )
          | ~ ( c3_1 @ X70 ) )
      & ( c1_1 @ a688 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1324,zip_derived_cl415]) ).

thf('176',plain,
    ( ~ ( c1_1 @ a688 )
    | ~ ( c2_1 @ a688 )
    | ~ ! [X70: $i] :
          ( ~ ( c0_1 @ X70 )
          | ~ ( c1_1 @ X70 )
          | ~ ( c3_1 @ X70 ) )
    | ~ ( c3_1 @ a688 )
    | ~ ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ~ ( c1_1 @ X45 )
          | ~ ( c2_1 @ X45 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl2221]) ).

thf('177',plain,
    ( hskp10
    | hskp29
    | ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c2_1 @ X1 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf('178',plain,
    ( ~ ( c1_1 @ a656 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf(zip_derived_cl567_098,plain,
    ( ( c0_1 @ a656 )
   <= ( c0_1 @ a656 ) ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(zip_derived_cl286_099,plain,
    ( ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ( c3_1 @ X28 )
        | ~ ( c0_1 @ X28 ) )
   <= ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ( c3_1 @ X28 )
        | ~ ( c0_1 @ X28 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl1015,plain,
    ( ( ( c1_1 @ a656 )
      | ( c3_1 @ a656 ) )
   <= ( ! [X28: $i] :
          ( ( c1_1 @ X28 )
          | ( c3_1 @ X28 )
          | ~ ( c0_1 @ X28 ) )
      & ( c0_1 @ a656 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl567,zip_derived_cl286]) ).

thf('179',plain,
    ( ( c3_1 @ a656 )
    | ( c1_1 @ a656 )
    | ~ ! [X28: $i] :
          ( ( c1_1 @ X28 )
          | ( c3_1 @ X28 )
          | ~ ( c0_1 @ X28 ) )
    | ~ ( c0_1 @ a656 ) ),
    inference(split,[status(esa)],[zip_derived_cl1015]) ).

thf(zip_derived_cl567_100,plain,
    ( ( c0_1 @ a656 )
   <= ( c0_1 @ a656 ) ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(zip_derived_cl206_101,plain,
    ( ! [X2: $i] :
        ( ( c3_1 @ X2 )
        | ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ( c3_1 @ X2 )
        | ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl1009,plain,
    ( ( ( c3_1 @ a656 )
      | ~ ( c2_1 @ a656 ) )
   <= ( ! [X2: $i] :
          ( ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ( c0_1 @ a656 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl567,zip_derived_cl206]) ).

thf('180',plain,
    ( ( c3_1 @ a656 )
    | ~ ( c0_1 @ a656 )
    | ~ ! [X2: $i] :
          ( ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
    | ~ ( c2_1 @ a656 ) ),
    inference(split,[status(esa)],[zip_derived_cl1009]) ).

thf('181',plain,
    ( ! [X28: $i] :
        ( ( c1_1 @ X28 )
        | ( c3_1 @ X28 )
        | ~ ( c0_1 @ X28 ) )
    | ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ~ ( c0_1 @ X31 )
        | ~ ( c2_1 @ X31 ) )
    | ~ ndr1_0
    | ! [X2: $i] :
        ( ( c3_1 @ X2 )
        | ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl261_102,plain,
    ( ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c2_1 @ X19 )
        | ~ ( c3_1 @ X19 ) )
   <= ! [X19: $i] :
        ( ( c1_1 @ X19 )
        | ~ ( c2_1 @ X19 )
        | ~ ( c3_1 @ X19 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl571_103,plain,
    ( ~ ( c1_1 @ a656 )
   <= ~ ( c1_1 @ a656 ) ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf(zip_derived_cl723,plain,
    ( ( ~ ( c3_1 @ a656 )
      | ~ ( c2_1 @ a656 ) )
   <= ( ~ ( c1_1 @ a656 )
      & ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c2_1 @ X19 )
          | ~ ( c3_1 @ X19 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl261,zip_derived_cl571]) ).

thf('182',plain,
    ( ~ ( c3_1 @ a656 )
    | ~ ( c2_1 @ a656 )
    | ~ ! [X19: $i] :
          ( ( c1_1 @ X19 )
          | ~ ( c2_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
    | ( c1_1 @ a656 ) ),
    inference(split,[status(esa)],[zip_derived_cl723]) ).

thf(zip_derived_cl21353,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']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN450+1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.WPErc2fi1q true
% 0.13/0.35  % Computer : n025.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Sat Aug 26 17:45:53 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.21/0.63  % Total configuration time : 435
% 0.21/0.63  % Estimated wc time : 1092
% 0.21/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.42/0.80  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 15.11/2.84  % Solved by fo/fo1_av.sh.
% 15.11/2.84  % done 4588 iterations in 2.033s
% 15.11/2.84  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 15.11/2.84  % SZS output start Refutation
% See solution above
% 15.11/2.85  
% 15.11/2.85  
% 15.11/2.85  % Terminating...
% 16.30/2.95  % Runner terminated.
% 16.30/2.96  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------