TSTP Solution File: SYN511+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN511+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.UpnE3kLDtN true

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep  1 04:04:20 EDT 2023

% Result   : Theorem 6.54s 1.54s
% Output   : Refutation 6.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   68
% Syntax   : Number of formulae    :  578 (   1 unt;  67 typ;   0 def)
%            Number of atoms       : 3958 (   0 equ;   0 cnn)
%            Maximal formula atoms :  774 (   7 avg)
%            Number of connectives : 8522 (2064   ~;2476   |; 489   &;3011   @)
%                                         (   0 <=>; 254  =>; 228  <=;   0 <~>)
%            Maximal formula depth :  114 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   68 (  67 usr;  64 con; 0-1 aty)
%            Number of variables   :  711 (   0   ^; 711   !;   0   ?; 711   :)

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

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

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

thf(a753_type,type,
    a753: $i ).

thf(a683_type,type,
    a683: $i ).

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

thf(a678_type,type,
    a678: $i ).

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

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

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

thf(a668_type,type,
    a668: $i ).

thf(a674_type,type,
    a674: $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(a672_type,type,
    a672: $i ).

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

thf(a716_type,type,
    a716: $i ).

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

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

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

thf(a669_type,type,
    a669: $i ).

thf(a681_type,type,
    a681: $i ).

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

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

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

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

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

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

thf(a680_type,type,
    a680: $i ).

thf(a684_type,type,
    a684: $i ).

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

thf(a715_type,type,
    a715: $i ).

thf(a762_type,type,
    a762: $i ).

thf(a703_type,type,
    a703: $i ).

thf(a700_type,type,
    a700: $i ).

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

thf(a711_type,type,
    a711: $i ).

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

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

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

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

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

thf(a679_type,type,
    a679: $i ).

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

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

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

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

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

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

thf(a673_type,type,
    a673: $i ).

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

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

thf(a731_type,type,
    a731: $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(a670_type,type,
    a670: $i ).

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

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

thf(c3_1_type,type,
    c3_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
          & ( c1_1 @ a668 )
          & ~ ( c2_1 @ a668 )
          & ~ ( c3_1 @ a668 ) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & ( c0_1 @ a669 )
          & ~ ( c1_1 @ a669 )
          & ~ ( c2_1 @ a669 ) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & ( c3_1 @ a670 )
          & ~ ( c0_1 @ a670 )
          & ~ ( c1_1 @ a670 ) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & ( c2_1 @ a671 )
          & ~ ( c0_1 @ a671 )
          & ~ ( c1_1 @ a671 ) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & ~ ( c0_1 @ a672 )
          & ~ ( c1_1 @ a672 )
          & ~ ( c2_1 @ a672 ) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & ~ ( c0_1 @ a673 )
          & ~ ( c2_1 @ a673 )
          & ~ ( c3_1 @ a673 ) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & ( c0_1 @ a674 )
          & ( c3_1 @ a674 )
          & ~ ( c1_1 @ a674 ) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & ( c1_1 @ a675 )
          & ( c3_1 @ a675 )
          & ~ ( c2_1 @ a675 ) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & ( c1_1 @ a679 )
          & ( c3_1 @ a679 )
          & ~ ( c0_1 @ a679 ) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & ( c2_1 @ a680 )
          & ~ ( c1_1 @ a680 )
          & ~ ( c3_1 @ a680 ) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & ( c2_1 @ a681 )
          & ( c3_1 @ a681 )
          & ~ ( c0_1 @ a681 ) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & ( c0_1 @ a683 )
          & ( c3_1 @ a683 )
          & ~ ( c2_1 @ a683 ) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & ( c3_1 @ a684 )
          & ~ ( c0_1 @ a684 )
          & ~ ( c2_1 @ a684 ) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & ( c0_1 @ a688 )
          & ( c1_1 @ a688 )
          & ~ ( c3_1 @ a688 ) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & ( c0_1 @ a696 )
          & ( c2_1 @ a696 )
          & ~ ( c3_1 @ a696 ) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & ( c2_1 @ a700 )
          & ~ ( c0_1 @ a700 )
          & ~ ( c3_1 @ a700 ) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & ( c2_1 @ a702 )
          & ( c3_1 @ a702 )
          & ~ ( c1_1 @ a702 ) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & ( c1_1 @ a703 )
          & ~ ( c0_1 @ a703 )
          & ~ ( c2_1 @ a703 ) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & ( c3_1 @ a708 )
          & ~ ( c1_1 @ a708 )
          & ~ ( c2_1 @ a708 ) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & ( c1_1 @ a710 )
          & ( c2_1 @ a710 )
          & ~ ( c0_1 @ a710 ) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & ( c0_1 @ a711 )
          & ( c1_1 @ a711 )
          & ~ ( c2_1 @ a711 ) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & ( c0_1 @ a715 )
          & ~ ( c2_1 @ a715 )
          & ~ ( c3_1 @ a715 ) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & ( c1_1 @ a716 )
          & ( c2_1 @ a716 )
          & ~ ( c3_1 @ a716 ) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & ( c0_1 @ a730 )
          & ( c2_1 @ a730 )
          & ~ ( c1_1 @ a730 ) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & ( c0_1 @ a731 )
          & ~ ( c1_1 @ a731 )
          & ~ ( c3_1 @ a731 ) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & ~ ( c0_1 @ a760 )
          & ~ ( c1_1 @ a760 )
          & ~ ( c3_1 @ a760 ) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & ( c1_1 @ a762 )
          & ~ ( c0_1 @ a762 )
          & ~ ( c3_1 @ a762 ) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & ( c0_1 @ a676 )
          & ( c1_1 @ a676 )
          & ( c2_1 @ a676 ) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & ( c0_1 @ a678 )
          & ( c1_1 @ a678 )
          & ( c3_1 @ a678 ) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & ( c1_1 @ a725 )
          & ( c2_1 @ a725 )
          & ( c3_1 @ a725 ) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & ( c0_1 @ a753 )
          & ( c2_1 @ a753 )
          & ( c3_1 @ a753 ) ) )
      & ( ! [U: $i] :
            ( ndr1_0
           => ( ( c0_1 @ U )
              | ( c1_1 @ U )
              | ( c2_1 @ U ) ) )
        | ! [V: $i] :
            ( ndr1_0
           => ( ( c2_1 @ V )
              | ~ ( c0_1 @ V )
              | ~ ( c1_1 @ V ) ) )
        | hskp0 )
      & ( ! [W: $i] :
            ( ndr1_0
           => ( ( c0_1 @ W )
              | ( c1_1 @ W )
              | ( c2_1 @ W ) ) )
        | hskp1
        | hskp2 )
      & ( ! [X: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X )
              | ( c1_1 @ X )
              | ( c2_1 @ X ) ) )
        | hskp3
        | hskp4 )
      & ( ! [Y: $i] :
            ( ndr1_0
           => ( ( c0_1 @ Y )
              | ( c1_1 @ Y )
              | ( c3_1 @ Y ) ) )
        | ! [Z: $i] :
            ( ndr1_0
           => ( ( c1_1 @ Z )
              | ( c3_1 @ Z )
              | ~ ( c2_1 @ Z ) ) )
        | hskp5 )
      & ( ! [X1: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X1 )
              | ( c1_1 @ X1 )
              | ( c3_1 @ X1 ) ) )
        | hskp6
        | hskp7 )
      & ( ! [X2: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X2 )
              | ( c1_1 @ X2 )
              | ~ ( c2_1 @ X2 ) ) )
        | ! [X3: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X3 )
              | ( c2_1 @ X3 )
              | ~ ( c1_1 @ X3 ) ) )
        | hskp27 )
      & ( ! [X4: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X4 )
              | ( c1_1 @ X4 )
              | ~ ( c2_1 @ X4 ) ) )
        | ! [X5: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X5 )
              | ( c2_1 @ X5 )
              | ~ ( c3_1 @ X5 ) ) )
        | hskp5 )
      & ( ! [X6: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X6 )
              | ( c1_1 @ X6 )
              | ~ ( c2_1 @ X6 ) ) )
        | ! [X7: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X7 )
              | ( c3_1 @ X7 )
              | ~ ( c0_1 @ X7 ) ) )
        | ! [X8: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X8 )
              | ~ ( c1_1 @ X8 )
              | ~ ( c3_1 @ X8 ) ) ) )
      & ( ! [X9: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X9 )
              | ( c1_1 @ X9 )
              | ~ ( c2_1 @ X9 ) ) )
        | ! [X10: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X10 )
              | ~ ( c2_1 @ X10 )
              | ~ ( c3_1 @ X10 ) ) )
        | hskp28 )
      & ( ! [X11: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X11 )
              | ( c1_1 @ X11 )
              | ~ ( c2_1 @ X11 ) ) )
        | hskp8
        | hskp9 )
      & ( ! [X12: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X12 )
              | ( c1_1 @ X12 )
              | ~ ( c2_1 @ X12 ) ) )
        | hskp10
        | hskp2 )
      & ( ! [X13: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X13 )
              | ( c1_1 @ X13 )
              | ~ ( c3_1 @ X13 ) ) )
        | ! [X14: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X14 )
              | ~ ( c1_1 @ X14 )
              | ~ ( c3_1 @ X14 ) ) )
        | ! [X15: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X15 )
              | ~ ( c0_1 @ X15 )
              | ~ ( c3_1 @ X15 ) ) ) )
      & ( ! [X16: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X16 )
              | ( c1_1 @ X16 )
              | ~ ( c3_1 @ X16 ) ) )
        | ! [X17: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X17 )
              | ~ ( c2_1 @ X17 )
              | ~ ( c3_1 @ X17 ) ) )
        | hskp11 )
      & ( ! [X18: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X18 )
              | ( c1_1 @ X18 )
              | ~ ( c3_1 @ X18 ) ) )
        | ! [X19: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X19 )
              | ~ ( c0_1 @ X19 )
              | ~ ( c1_1 @ X19 ) ) )
        | ! [X20: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X20 )
              | ~ ( c2_1 @ X20 )
              | ~ ( c3_1 @ X20 ) ) ) )
      & ( ! [X21: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X21 )
              | ( c1_1 @ X21 )
              | ~ ( c3_1 @ X21 ) ) )
        | ! [X22: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X22 )
              | ~ ( c2_1 @ X22 )
              | ~ ( c3_1 @ X22 ) ) )
        | hskp12 )
      & ( ! [X23: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X23 )
              | ( c2_1 @ X23 )
              | ( c3_1 @ X23 ) ) )
        | ! [X24: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X24 )
              | ( c2_1 @ X24 )
              | ~ ( c1_1 @ X24 ) ) )
        | hskp6 )
      & ( ! [X25: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X25 )
              | ( c2_1 @ X25 )
              | ( c3_1 @ X25 ) ) )
        | hskp28
        | hskp7 )
      & ( ! [X26: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X26 )
              | ( c2_1 @ X26 )
              | ( c3_1 @ X26 ) ) )
        | hskp13
        | hskp9 )
      & ( ! [X27: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X27 )
              | ( c2_1 @ X27 )
              | ~ ( c1_1 @ X27 ) ) )
        | ! [X28: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X28 )
              | ~ ( c1_1 @ X28 )
              | ~ ( c3_1 @ X28 ) ) )
        | ! [X29: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X29 )
              | ~ ( c2_1 @ X29 )
              | ~ ( c3_1 @ X29 ) ) ) )
      & ( ! [X30: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X30 )
              | ( c2_1 @ X30 )
              | ~ ( c1_1 @ X30 ) ) )
        | ! [X31: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X31 )
              | ~ ( c2_1 @ X31 )
              | ~ ( c3_1 @ X31 ) ) )
        | ! [X32: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X32 )
              | ~ ( c0_1 @ X32 )
              | ~ ( c2_1 @ X32 ) ) ) )
      & ( ! [X33: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X33 )
              | ( c2_1 @ X33 )
              | ~ ( c1_1 @ X33 ) ) )
        | ! [X34: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X34 )
              | ~ ( c2_1 @ X34 )
              | ~ ( c3_1 @ X34 ) ) )
        | ! [X35: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X35 )
              | ~ ( c2_1 @ X35 )
              | ~ ( c3_1 @ X35 ) ) ) )
      & ( ! [X36: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X36 )
              | ( c2_1 @ X36 )
              | ~ ( c3_1 @ X36 ) ) )
        | ! [X37: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X37 )
              | ~ ( c0_1 @ X37 )
              | ~ ( c3_1 @ X37 ) ) )
        | hskp7 )
      & ( ! [X38: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X38 )
              | ( c3_1 @ X38 )
              | ~ ( c1_1 @ X38 ) ) )
        | ! [X39: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X39 )
              | ~ ( c1_1 @ X39 )
              | ~ ( c3_1 @ X39 ) ) )
        | hskp0 )
      & ( ! [X40: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X40 )
              | ( c3_1 @ X40 )
              | ~ ( c1_1 @ X40 ) ) )
        | ! [X41: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X41 )
              | ~ ( c0_1 @ X41 )
              | ~ ( c3_1 @ X41 ) ) )
        | hskp8 )
      & ( ! [X42: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X42 )
              | ( c3_1 @ X42 )
              | ~ ( c1_1 @ X42 ) ) )
        | ! [X43: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X43 )
              | ~ ( c0_1 @ X43 )
              | ~ ( c1_1 @ X43 ) ) )
        | ! [X44: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X44 )
              | ~ ( c1_1 @ X44 )
              | ~ ( c3_1 @ X44 ) ) ) )
      & ( ! [X45: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X45 )
              | ( c3_1 @ X45 )
              | ~ ( c1_1 @ X45 ) ) )
        | ! [X46: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X46 )
              | ~ ( c0_1 @ X46 )
              | ~ ( c3_1 @ X46 ) ) )
        | hskp12 )
      & ( ! [X47: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X47 )
              | ( c3_1 @ X47 )
              | ~ ( c1_1 @ X47 ) ) )
        | ! [X48: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X48 )
              | ~ ( c1_1 @ X48 )
              | ~ ( c2_1 @ X48 ) ) )
        | hskp4 )
      & ( ! [X49: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X49 )
              | ( c3_1 @ X49 )
              | ~ ( c2_1 @ X49 ) ) )
        | ! [X50: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X50 )
              | ~ ( c1_1 @ X50 )
              | ~ ( c3_1 @ X50 ) ) )
        | ! [X51: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X51 )
              | ~ ( c1_1 @ X51 )
              | ~ ( c3_1 @ X51 ) ) ) )
      & ( ! [X52: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X52 )
              | ( c3_1 @ X52 )
              | ~ ( c2_1 @ X52 ) ) )
        | ! [X53: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X53 )
              | ( c3_1 @ X53 )
              | ~ ( c1_1 @ X53 ) ) )
        | hskp10 )
      & ( ! [X54: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X54 )
              | ( c3_1 @ X54 )
              | ~ ( c2_1 @ X54 ) ) )
        | hskp14
        | hskp1 )
      & ( ! [X55: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X55 )
              | ~ ( c1_1 @ X55 )
              | ~ ( c2_1 @ X55 ) ) )
        | ! [X56: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X56 )
              | ~ ( c2_1 @ X56 )
              | ~ ( c3_1 @ X56 ) ) )
        | ! [X57: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X57 )
              | ~ ( c2_1 @ X57 )
              | ~ ( c3_1 @ X57 ) ) ) )
      & ( ! [X58: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X58 )
              | ~ ( c1_1 @ X58 )
              | ~ ( c2_1 @ X58 ) ) )
        | ! [X59: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X59 )
              | ( c2_1 @ X59 )
              | ~ ( c3_1 @ X59 ) ) )
        | hskp27 )
      & ( ! [X60: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X60 )
              | ~ ( c1_1 @ X60 )
              | ~ ( c2_1 @ X60 ) ) )
        | ! [X61: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X61 )
              | ~ ( c0_1 @ X61 )
              | ~ ( c3_1 @ X61 ) ) ) )
      & ( ! [X62: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X62 )
              | ~ ( c1_1 @ X62 )
              | ~ ( c2_1 @ X62 ) ) )
        | ! [X63: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X63 )
              | ( c3_1 @ X63 )
              | ~ ( c0_1 @ X63 ) ) )
        | ! [X64: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X64 )
              | ~ ( c0_1 @ X64 )
              | ~ ( c1_1 @ X64 ) ) ) )
      & ( ! [X65: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X65 )
              | ~ ( c1_1 @ X65 )
              | ~ ( c2_1 @ X65 ) ) )
        | ! [X66: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X66 )
              | ~ ( c0_1 @ X66 )
              | ~ ( c1_1 @ X66 ) ) )
        | hskp10 )
      & ( ! [X67: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X67 )
              | ~ ( c1_1 @ X67 )
              | ~ ( c2_1 @ X67 ) ) )
        | ! [X68: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X68 )
              | ~ ( c1_1 @ X68 )
              | ~ ( c3_1 @ X68 ) ) )
        | hskp15 )
      & ( ! [X69: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X69 )
              | ~ ( c1_1 @ X69 )
              | ~ ( c3_1 @ X69 ) ) )
        | ! [X70: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X70 )
              | ~ ( c0_1 @ X70 )
              | ~ ( c2_1 @ X70 ) ) )
        | hskp3 )
      & ( ! [X71: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X71 )
              | ~ ( c1_1 @ X71 )
              | ~ ( c3_1 @ X71 ) ) )
        | ! [X72: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X72 )
              | ~ ( c0_1 @ X72 )
              | ~ ( c1_1 @ X72 ) ) )
        | hskp16 )
      & ( ! [X73: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X73 )
              | ~ ( c1_1 @ X73 )
              | ~ ( c3_1 @ X73 ) ) )
        | ! [X74: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X74 )
              | ~ ( c0_1 @ X74 )
              | ~ ( c2_1 @ X74 ) ) )
        | hskp17 )
      & ( ! [X75: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X75 )
              | ~ ( c1_1 @ X75 )
              | ~ ( c3_1 @ X75 ) ) )
        | hskp6
        | hskp4 )
      & ( ! [X76: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X76 )
              | ~ ( c2_1 @ X76 )
              | ~ ( c3_1 @ X76 ) ) )
        | hskp11
        | hskp16 )
      & ( ! [X77: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X77 )
              | ( c2_1 @ X77 )
              | ( c3_1 @ X77 ) ) )
        | ! [X78: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X78 )
              | ~ ( c2_1 @ X78 )
              | ~ ( c3_1 @ X78 ) ) )
        | hskp18 )
      & ( ! [X79: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X79 )
              | ( c2_1 @ X79 )
              | ~ ( c0_1 @ X79 ) ) )
        | ! [X80: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X80 )
              | ~ ( c0_1 @ X80 )
              | ~ ( c3_1 @ X80 ) ) )
        | hskp6 )
      & ( ! [X81: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X81 )
              | ( c2_1 @ X81 )
              | ~ ( c0_1 @ X81 ) ) )
        | ! [X82: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X82 )
              | ~ ( c2_1 @ X82 )
              | ~ ( c3_1 @ X82 ) ) )
        | hskp19 )
      & ( ! [X83: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X83 )
              | ( c2_1 @ X83 )
              | ~ ( c0_1 @ X83 ) ) )
        | hskp20
        | hskp13 )
      & ( ! [X84: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X84 )
              | ( c2_1 @ X84 )
              | ~ ( c0_1 @ X84 ) ) )
        | hskp1
        | hskp15 )
      & ( ! [X85: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X85 )
              | ( c2_1 @ X85 )
              | ~ ( c0_1 @ X85 ) ) )
        | hskp21
        | hskp22 )
      & ( ! [X86: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X86 )
              | ( c2_1 @ X86 )
              | ~ ( c0_1 @ X86 ) ) )
        | hskp9
        | hskp2 )
      & ( ! [X87: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X87 )
              | ( c2_1 @ X87 )
              | ~ ( c3_1 @ X87 ) ) )
        | ! [X88: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X88 )
              | ~ ( c1_1 @ X88 )
              | ~ ( c2_1 @ X88 ) ) )
        | hskp10 )
      & ( ! [X89: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X89 )
              | ( c2_1 @ X89 )
              | ~ ( c3_1 @ X89 ) ) )
        | ! [X90: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X90 )
              | ~ ( c1_1 @ X90 )
              | ~ ( c3_1 @ X90 ) ) )
        | hskp16 )
      & ( ! [X91: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X91 )
              | ( c2_1 @ X91 )
              | ~ ( c3_1 @ X91 ) ) )
        | hskp20
        | hskp0 )
      & ( ! [X92: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X92 )
              | ( c3_1 @ X92 )
              | ~ ( c0_1 @ X92 ) ) )
        | ! [X93: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X93 )
              | ( c3_1 @ X93 )
              | ~ ( c2_1 @ X93 ) ) )
        | ! [X94: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X94 )
              | ~ ( c2_1 @ X94 )
              | ~ ( c3_1 @ X94 ) ) ) )
      & ( ! [X95: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X95 )
              | ( c3_1 @ X95 )
              | ~ ( c0_1 @ X95 ) ) )
        | ! [X96: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X96 )
              | ~ ( c0_1 @ X96 )
              | ~ ( c1_1 @ X96 ) ) )
        | ! [X97: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X97 )
              | ~ ( c2_1 @ X97 )
              | ~ ( c3_1 @ X97 ) ) ) )
      & ( ! [X98: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X98 )
              | ( c3_1 @ X98 )
              | ~ ( c0_1 @ X98 ) ) )
        | hskp20
        | hskp19 )
      & ( ! [X99: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X99 )
              | ( c3_1 @ X99 )
              | ~ ( c0_1 @ X99 ) ) )
        | hskp29
        | hskp15 )
      & ( ! [X100: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X100 )
              | ( c3_1 @ X100 )
              | ~ ( c2_1 @ X100 ) ) )
        | ! [X101: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X101 )
              | ~ ( c2_1 @ X101 )
              | ~ ( c3_1 @ X101 ) ) )
        | hskp13 )
      & ( ! [X102: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X102 )
              | ( c3_1 @ X102 )
              | ~ ( c2_1 @ X102 ) ) )
        | ! [X103: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X103 )
              | ~ ( c0_1 @ X103 )
              | ~ ( c3_1 @ X103 ) ) )
        | ! [X104: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X104 )
              | ~ ( c0_1 @ X104 )
              | ~ ( c2_1 @ X104 ) ) ) )
      & ( ! [X105: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X105 )
              | ( c3_1 @ X105 )
              | ~ ( c2_1 @ X105 ) ) )
        | hskp27
        | hskp1 )
      & ( ! [X106: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X106 )
              | ~ ( c0_1 @ X106 )
              | ~ ( c2_1 @ X106 ) ) )
        | ! [X107: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X107 )
              | ~ ( c2_1 @ X107 )
              | ~ ( c3_1 @ X107 ) ) )
        | hskp23 )
      & ( ! [X108: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X108 )
              | ~ ( c0_1 @ X108 )
              | ~ ( c2_1 @ X108 ) ) )
        | hskp24
        | hskp19 )
      & ( ! [X109: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X109 )
              | ( c3_1 @ X109 )
              | ~ ( c1_1 @ X109 ) ) )
        | ! [X110: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X110 )
              | ~ ( c2_1 @ X110 )
              | ~ ( c3_1 @ X110 ) ) )
        | hskp5 )
      & ( ! [X111: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X111 )
              | ~ ( c0_1 @ X111 )
              | ~ ( c3_1 @ X111 ) ) )
        | hskp15
        | hskp4 )
      & ( ! [X112: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X112 )
              | ~ ( c1_1 @ X112 )
              | ~ ( c3_1 @ X112 ) ) )
        | hskp28
        | hskp10 )
      & ( ! [X113: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X113 )
              | ~ ( c1_1 @ X113 )
              | ~ ( c3_1 @ X113 ) ) )
        | hskp14
        | hskp17 )
      & ( ! [X114: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X114 )
              | ~ ( c0_1 @ X114 )
              | ~ ( c1_1 @ X114 ) ) )
        | hskp14
        | hskp24 )
      & ( ! [X115: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X115 )
              | ~ ( c1_1 @ X115 )
              | ~ ( c2_1 @ X115 ) ) )
        | ! [X116: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X116 )
              | ~ ( c2_1 @ X116 )
              | ~ ( c3_1 @ X116 ) ) )
        | hskp21 )
      & ( ! [X117: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X117 )
              | ~ ( c1_1 @ X117 )
              | ~ ( c2_1 @ X117 ) ) )
        | hskp1
        | hskp21 )
      & ( ! [X118: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X118 )
              | ~ ( c1_1 @ X118 )
              | ~ ( c2_1 @ X118 ) ) )
        | hskp9
        | hskp5 )
      & ( ! [X119: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X119 )
              | ~ ( c2_1 @ X119 )
              | ~ ( c3_1 @ X119 ) ) )
        | ! [X120: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X120 )
              | ~ ( c2_1 @ X120 )
              | ~ ( c3_1 @ X120 ) ) ) )
      & ( ! [X121: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X121 )
              | ~ ( c2_1 @ X121 )
              | ~ ( c3_1 @ X121 ) ) )
        | hskp23
        | hskp16 )
      & ( hskp27
        | hskp24
        | hskp18 )
      & ( hskp28
        | hskp30
        | hskp11 )
      & ( hskp28
        | hskp19
        | hskp9 )
      & ( hskp13
        | hskp12
        | hskp25 )
      & ( hskp30
        | hskp26
        | hskp12 )
      & ( hskp11
        | hskp21
        | hskp2 )
      & ( hskp24
        | hskp18
        | hskp4 )
      & ( hskp29
        | hskp0
        | hskp16 )
      & ( hskp22
        | hskp8
        | hskp0 )
      & ( hskp7
        | hskp25
        | hskp5 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( ~ hskp0
      | ( ndr1_0
        & ( c1_1 @ a668 )
        & ~ ( c2_1 @ a668 )
        & ~ ( c3_1 @ a668 ) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ( c0_1 @ a669 )
        & ~ ( c1_1 @ a669 )
        & ~ ( c2_1 @ a669 ) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ( c3_1 @ a670 )
        & ~ ( c0_1 @ a670 )
        & ~ ( c1_1 @ a670 ) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ( c2_1 @ a671 )
        & ~ ( c0_1 @ a671 )
        & ~ ( c1_1 @ a671 ) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ~ ( c0_1 @ a672 )
        & ~ ( c1_1 @ a672 )
        & ~ ( c2_1 @ a672 ) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ~ ( c0_1 @ a673 )
        & ~ ( c2_1 @ a673 )
        & ~ ( c3_1 @ a673 ) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ( c0_1 @ a674 )
        & ( c3_1 @ a674 )
        & ~ ( c1_1 @ a674 ) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & ( c1_1 @ a675 )
        & ( c3_1 @ a675 )
        & ~ ( c2_1 @ a675 ) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ( c1_1 @ a679 )
        & ( c3_1 @ a679 )
        & ~ ( c0_1 @ a679 ) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ( c2_1 @ a680 )
        & ~ ( c1_1 @ a680 )
        & ~ ( c3_1 @ a680 ) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ( c2_1 @ a681 )
        & ( c3_1 @ a681 )
        & ~ ( c0_1 @ a681 ) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ( c0_1 @ a683 )
        & ( c3_1 @ a683 )
        & ~ ( c2_1 @ a683 ) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ( c3_1 @ a684 )
        & ~ ( c0_1 @ a684 )
        & ~ ( c2_1 @ a684 ) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & ( c0_1 @ a688 )
        & ( c1_1 @ a688 )
        & ~ ( c3_1 @ a688 ) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ( c0_1 @ a696 )
        & ( c2_1 @ a696 )
        & ~ ( c3_1 @ a696 ) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & ( c2_1 @ a700 )
        & ~ ( c0_1 @ a700 )
        & ~ ( c3_1 @ a700 ) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & ( c2_1 @ a702 )
        & ( c3_1 @ a702 )
        & ~ ( c1_1 @ a702 ) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ( c1_1 @ a703 )
        & ~ ( c0_1 @ a703 )
        & ~ ( c2_1 @ a703 ) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ( c3_1 @ a708 )
        & ~ ( c1_1 @ a708 )
        & ~ ( c2_1 @ a708 ) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ( c1_1 @ a710 )
        & ( c2_1 @ a710 )
        & ~ ( c0_1 @ a710 ) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ( c0_1 @ a711 )
        & ( c1_1 @ a711 )
        & ~ ( c2_1 @ a711 ) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & ( c0_1 @ a715 )
        & ~ ( c2_1 @ a715 )
        & ~ ( c3_1 @ a715 ) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ( c1_1 @ a716 )
        & ( c2_1 @ a716 )
        & ~ ( c3_1 @ a716 ) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ( c0_1 @ a730 )
        & ( c2_1 @ a730 )
        & ~ ( c1_1 @ a730 ) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ( c0_1 @ a731 )
        & ~ ( c1_1 @ a731 )
        & ~ ( c3_1 @ a731 ) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ~ ( c0_1 @ a760 )
        & ~ ( c1_1 @ a760 )
        & ~ ( c3_1 @ a760 ) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ( c1_1 @ a762 )
        & ~ ( c0_1 @ a762 )
        & ~ ( c3_1 @ a762 ) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ( c0_1 @ a676 )
        & ( c1_1 @ a676 )
        & ( c2_1 @ a676 ) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & ( c0_1 @ a678 )
        & ( c1_1 @ a678 )
        & ( c3_1 @ a678 ) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & ( c1_1 @ a725 )
        & ( c2_1 @ a725 )
        & ( c3_1 @ a725 ) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & ( c0_1 @ a753 )
        & ( c2_1 @ a753 )
        & ( c3_1 @ a753 ) ) )
    & ( ! [U: $i] :
          ( ndr1_0
         => ( ( c0_1 @ U )
            | ( c1_1 @ U )
            | ( c2_1 @ U ) ) )
      | ! [V: $i] :
          ( ndr1_0
         => ( ( c2_1 @ V )
            | ~ ( c0_1 @ V )
            | ~ ( c1_1 @ V ) ) )
      | hskp0 )
    & ( ! [W: $i] :
          ( ndr1_0
         => ( ( c0_1 @ W )
            | ( c1_1 @ W )
            | ( c2_1 @ W ) ) )
      | hskp1
      | hskp2 )
    & ( ! [X: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X )
            | ( c1_1 @ X )
            | ( c2_1 @ X ) ) )
      | hskp3
      | hskp4 )
    & ( ! [Y: $i] :
          ( ndr1_0
         => ( ( c0_1 @ Y )
            | ( c1_1 @ Y )
            | ( c3_1 @ Y ) ) )
      | ! [Z: $i] :
          ( ndr1_0
         => ( ( c1_1 @ Z )
            | ( c3_1 @ Z )
            | ~ ( c2_1 @ Z ) ) )
      | hskp5 )
    & ( ! [X1: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X1 )
            | ( c1_1 @ X1 )
            | ( c3_1 @ X1 ) ) )
      | hskp6
      | hskp7 )
    & ( ! [X2: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X2 )
            | ( c1_1 @ X2 )
            | ~ ( c2_1 @ X2 ) ) )
      | ! [X3: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X3 )
            | ( c2_1 @ X3 )
            | ~ ( c1_1 @ X3 ) ) )
      | hskp27 )
    & ( ! [X4: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X4 )
            | ( c1_1 @ X4 )
            | ~ ( c2_1 @ X4 ) ) )
      | ! [X5: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X5 )
            | ( c2_1 @ X5 )
            | ~ ( c3_1 @ X5 ) ) )
      | hskp5 )
    & ( ! [X6: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X6 )
            | ( c1_1 @ X6 )
            | ~ ( c2_1 @ X6 ) ) )
      | ! [X7: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X7 )
            | ( c3_1 @ X7 )
            | ~ ( c0_1 @ X7 ) ) )
      | ! [X8: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X8 )
            | ~ ( c1_1 @ X8 )
            | ~ ( c3_1 @ X8 ) ) ) )
    & ( ! [X9: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X9 )
            | ( c1_1 @ X9 )
            | ~ ( c2_1 @ X9 ) ) )
      | ! [X10: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X10 )
            | ~ ( c2_1 @ X10 )
            | ~ ( c3_1 @ X10 ) ) )
      | hskp28 )
    & ( ! [X11: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X11 )
            | ( c1_1 @ X11 )
            | ~ ( c2_1 @ X11 ) ) )
      | hskp8
      | hskp9 )
    & ( ! [X12: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X12 )
            | ( c1_1 @ X12 )
            | ~ ( c2_1 @ X12 ) ) )
      | hskp10
      | hskp2 )
    & ( ! [X13: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X13 )
            | ( c1_1 @ X13 )
            | ~ ( c3_1 @ X13 ) ) )
      | ! [X14: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X14 )
            | ~ ( c1_1 @ X14 )
            | ~ ( c3_1 @ X14 ) ) )
      | ! [X15: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X15 )
            | ~ ( c0_1 @ X15 )
            | ~ ( c3_1 @ X15 ) ) ) )
    & ( ! [X16: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X16 )
            | ( c1_1 @ X16 )
            | ~ ( c3_1 @ X16 ) ) )
      | ! [X17: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X17 )
            | ~ ( c2_1 @ X17 )
            | ~ ( c3_1 @ X17 ) ) )
      | hskp11 )
    & ( ! [X18: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X18 )
            | ( c1_1 @ X18 )
            | ~ ( c3_1 @ X18 ) ) )
      | ! [X19: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X19 )
            | ~ ( c0_1 @ X19 )
            | ~ ( c1_1 @ X19 ) ) )
      | ! [X20: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X20 )
            | ~ ( c2_1 @ X20 )
            | ~ ( c3_1 @ X20 ) ) ) )
    & ( ! [X21: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X21 )
            | ( c1_1 @ X21 )
            | ~ ( c3_1 @ X21 ) ) )
      | ! [X22: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X22 )
            | ~ ( c2_1 @ X22 )
            | ~ ( c3_1 @ X22 ) ) )
      | hskp12 )
    & ( ! [X23: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X23 )
            | ( c2_1 @ X23 )
            | ( c3_1 @ X23 ) ) )
      | ! [X24: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X24 )
            | ( c2_1 @ X24 )
            | ~ ( c1_1 @ X24 ) ) )
      | hskp6 )
    & ( ! [X25: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X25 )
            | ( c2_1 @ X25 )
            | ( c3_1 @ X25 ) ) )
      | hskp28
      | hskp7 )
    & ( ! [X26: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X26 )
            | ( c2_1 @ X26 )
            | ( c3_1 @ X26 ) ) )
      | hskp13
      | hskp9 )
    & ( ! [X27: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X27 )
            | ( c2_1 @ X27 )
            | ~ ( c1_1 @ X27 ) ) )
      | ! [X28: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X28 )
            | ~ ( c1_1 @ X28 )
            | ~ ( c3_1 @ X28 ) ) )
      | ! [X29: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X29 )
            | ~ ( c2_1 @ X29 )
            | ~ ( c3_1 @ X29 ) ) ) )
    & ( ! [X30: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X30 )
            | ( c2_1 @ X30 )
            | ~ ( c1_1 @ X30 ) ) )
      | ! [X31: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X31 )
            | ~ ( c2_1 @ X31 )
            | ~ ( c3_1 @ X31 ) ) )
      | ! [X32: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X32 )
            | ~ ( c0_1 @ X32 )
            | ~ ( c2_1 @ X32 ) ) ) )
    & ( ! [X33: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X33 )
            | ( c2_1 @ X33 )
            | ~ ( c1_1 @ X33 ) ) )
      | ! [X34: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X34 )
            | ~ ( c2_1 @ X34 )
            | ~ ( c3_1 @ X34 ) ) )
      | ! [X35: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X35 )
            | ~ ( c2_1 @ X35 )
            | ~ ( c3_1 @ X35 ) ) ) )
    & ( ! [X36: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X36 )
            | ( c2_1 @ X36 )
            | ~ ( c3_1 @ X36 ) ) )
      | ! [X37: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X37 )
            | ~ ( c0_1 @ X37 )
            | ~ ( c3_1 @ X37 ) ) )
      | hskp7 )
    & ( ! [X38: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X38 )
            | ( c3_1 @ X38 )
            | ~ ( c1_1 @ X38 ) ) )
      | ! [X39: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X39 )
            | ~ ( c1_1 @ X39 )
            | ~ ( c3_1 @ X39 ) ) )
      | hskp0 )
    & ( ! [X40: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X40 )
            | ( c3_1 @ X40 )
            | ~ ( c1_1 @ X40 ) ) )
      | ! [X41: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X41 )
            | ~ ( c0_1 @ X41 )
            | ~ ( c3_1 @ X41 ) ) )
      | hskp8 )
    & ( ! [X42: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X42 )
            | ( c3_1 @ X42 )
            | ~ ( c1_1 @ X42 ) ) )
      | ! [X43: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X43 )
            | ~ ( c0_1 @ X43 )
            | ~ ( c1_1 @ X43 ) ) )
      | ! [X44: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X44 )
            | ~ ( c1_1 @ X44 )
            | ~ ( c3_1 @ X44 ) ) ) )
    & ( ! [X45: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X45 )
            | ( c3_1 @ X45 )
            | ~ ( c1_1 @ X45 ) ) )
      | ! [X46: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X46 )
            | ~ ( c0_1 @ X46 )
            | ~ ( c3_1 @ X46 ) ) )
      | hskp12 )
    & ( ! [X47: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X47 )
            | ( c3_1 @ X47 )
            | ~ ( c1_1 @ X47 ) ) )
      | ! [X48: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X48 )
            | ~ ( c1_1 @ X48 )
            | ~ ( c2_1 @ X48 ) ) )
      | hskp4 )
    & ( ! [X49: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X49 )
            | ( c3_1 @ X49 )
            | ~ ( c2_1 @ X49 ) ) )
      | ! [X50: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X50 )
            | ~ ( c1_1 @ X50 )
            | ~ ( c3_1 @ X50 ) ) )
      | ! [X51: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X51 )
            | ~ ( c1_1 @ X51 )
            | ~ ( c3_1 @ X51 ) ) ) )
    & ( ! [X52: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X52 )
            | ( c3_1 @ X52 )
            | ~ ( c2_1 @ X52 ) ) )
      | ! [X53: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X53 )
            | ( c3_1 @ X53 )
            | ~ ( c1_1 @ X53 ) ) )
      | hskp10 )
    & ( ! [X54: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X54 )
            | ( c3_1 @ X54 )
            | ~ ( c2_1 @ X54 ) ) )
      | hskp14
      | hskp1 )
    & ( ! [X55: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X55 )
            | ~ ( c1_1 @ X55 )
            | ~ ( c2_1 @ X55 ) ) )
      | ! [X56: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X56 )
            | ~ ( c2_1 @ X56 )
            | ~ ( c3_1 @ X56 ) ) )
      | ! [X57: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X57 )
            | ~ ( c2_1 @ X57 )
            | ~ ( c3_1 @ X57 ) ) ) )
    & ( ! [X58: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X58 )
            | ~ ( c1_1 @ X58 )
            | ~ ( c2_1 @ X58 ) ) )
      | ! [X59: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X59 )
            | ( c2_1 @ X59 )
            | ~ ( c3_1 @ X59 ) ) )
      | hskp27 )
    & ( ! [X60: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X60 )
            | ~ ( c1_1 @ X60 )
            | ~ ( c2_1 @ X60 ) ) )
      | ! [X61: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X61 )
            | ~ ( c0_1 @ X61 )
            | ~ ( c3_1 @ X61 ) ) ) )
    & ( ! [X62: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X62 )
            | ~ ( c1_1 @ X62 )
            | ~ ( c2_1 @ X62 ) ) )
      | ! [X63: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X63 )
            | ( c3_1 @ X63 )
            | ~ ( c0_1 @ X63 ) ) )
      | ! [X64: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X64 )
            | ~ ( c0_1 @ X64 )
            | ~ ( c1_1 @ X64 ) ) ) )
    & ( ! [X65: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X65 )
            | ~ ( c1_1 @ X65 )
            | ~ ( c2_1 @ X65 ) ) )
      | ! [X66: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X66 )
            | ~ ( c0_1 @ X66 )
            | ~ ( c1_1 @ X66 ) ) )
      | hskp10 )
    & ( ! [X67: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X67 )
            | ~ ( c1_1 @ X67 )
            | ~ ( c2_1 @ X67 ) ) )
      | ! [X68: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X68 )
            | ~ ( c1_1 @ X68 )
            | ~ ( c3_1 @ X68 ) ) )
      | hskp15 )
    & ( ! [X69: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X69 )
            | ~ ( c1_1 @ X69 )
            | ~ ( c3_1 @ X69 ) ) )
      | ! [X70: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X70 )
            | ~ ( c0_1 @ X70 )
            | ~ ( c2_1 @ X70 ) ) )
      | hskp3 )
    & ( ! [X71: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X71 )
            | ~ ( c1_1 @ X71 )
            | ~ ( c3_1 @ X71 ) ) )
      | ! [X72: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X72 )
            | ~ ( c0_1 @ X72 )
            | ~ ( c1_1 @ X72 ) ) )
      | hskp16 )
    & ( ! [X73: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X73 )
            | ~ ( c1_1 @ X73 )
            | ~ ( c3_1 @ X73 ) ) )
      | ! [X74: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X74 )
            | ~ ( c0_1 @ X74 )
            | ~ ( c2_1 @ X74 ) ) )
      | hskp17 )
    & ( ! [X75: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X75 )
            | ~ ( c1_1 @ X75 )
            | ~ ( c3_1 @ X75 ) ) )
      | hskp6
      | hskp4 )
    & ( ! [X76: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X76 )
            | ~ ( c2_1 @ X76 )
            | ~ ( c3_1 @ X76 ) ) )
      | hskp11
      | hskp16 )
    & ( ! [X77: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X77 )
            | ( c2_1 @ X77 )
            | ( c3_1 @ X77 ) ) )
      | ! [X78: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X78 )
            | ~ ( c2_1 @ X78 )
            | ~ ( c3_1 @ X78 ) ) )
      | hskp18 )
    & ( ! [X79: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X79 )
            | ( c2_1 @ X79 )
            | ~ ( c0_1 @ X79 ) ) )
      | ! [X80: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X80 )
            | ~ ( c0_1 @ X80 )
            | ~ ( c3_1 @ X80 ) ) )
      | hskp6 )
    & ( ! [X81: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X81 )
            | ( c2_1 @ X81 )
            | ~ ( c0_1 @ X81 ) ) )
      | ! [X82: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X82 )
            | ~ ( c2_1 @ X82 )
            | ~ ( c3_1 @ X82 ) ) )
      | hskp19 )
    & ( ! [X83: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X83 )
            | ( c2_1 @ X83 )
            | ~ ( c0_1 @ X83 ) ) )
      | hskp20
      | hskp13 )
    & ( ! [X84: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X84 )
            | ( c2_1 @ X84 )
            | ~ ( c0_1 @ X84 ) ) )
      | hskp1
      | hskp15 )
    & ( ! [X85: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X85 )
            | ( c2_1 @ X85 )
            | ~ ( c0_1 @ X85 ) ) )
      | hskp21
      | hskp22 )
    & ( ! [X86: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X86 )
            | ( c2_1 @ X86 )
            | ~ ( c0_1 @ X86 ) ) )
      | hskp9
      | hskp2 )
    & ( ! [X87: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X87 )
            | ( c2_1 @ X87 )
            | ~ ( c3_1 @ X87 ) ) )
      | ! [X88: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X88 )
            | ~ ( c1_1 @ X88 )
            | ~ ( c2_1 @ X88 ) ) )
      | hskp10 )
    & ( ! [X89: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X89 )
            | ( c2_1 @ X89 )
            | ~ ( c3_1 @ X89 ) ) )
      | ! [X90: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X90 )
            | ~ ( c1_1 @ X90 )
            | ~ ( c3_1 @ X90 ) ) )
      | hskp16 )
    & ( ! [X91: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X91 )
            | ( c2_1 @ X91 )
            | ~ ( c3_1 @ X91 ) ) )
      | hskp20
      | hskp0 )
    & ( ! [X92: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X92 )
            | ( c3_1 @ X92 )
            | ~ ( c0_1 @ X92 ) ) )
      | ! [X93: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X93 )
            | ( c3_1 @ X93 )
            | ~ ( c2_1 @ X93 ) ) )
      | ! [X94: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X94 )
            | ~ ( c2_1 @ X94 )
            | ~ ( c3_1 @ X94 ) ) ) )
    & ( ! [X95: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X95 )
            | ( c3_1 @ X95 )
            | ~ ( c0_1 @ X95 ) ) )
      | ! [X96: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X96 )
            | ~ ( c0_1 @ X96 )
            | ~ ( c1_1 @ X96 ) ) )
      | ! [X97: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X97 )
            | ~ ( c2_1 @ X97 )
            | ~ ( c3_1 @ X97 ) ) ) )
    & ( ! [X98: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X98 )
            | ( c3_1 @ X98 )
            | ~ ( c0_1 @ X98 ) ) )
      | hskp20
      | hskp19 )
    & ( ! [X99: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X99 )
            | ( c3_1 @ X99 )
            | ~ ( c0_1 @ X99 ) ) )
      | hskp29
      | hskp15 )
    & ( ! [X100: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X100 )
            | ( c3_1 @ X100 )
            | ~ ( c2_1 @ X100 ) ) )
      | ! [X101: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X101 )
            | ~ ( c2_1 @ X101 )
            | ~ ( c3_1 @ X101 ) ) )
      | hskp13 )
    & ( ! [X102: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X102 )
            | ( c3_1 @ X102 )
            | ~ ( c2_1 @ X102 ) ) )
      | ! [X103: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X103 )
            | ~ ( c0_1 @ X103 )
            | ~ ( c3_1 @ X103 ) ) )
      | ! [X104: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X104 )
            | ~ ( c0_1 @ X104 )
            | ~ ( c2_1 @ X104 ) ) ) )
    & ( ! [X105: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X105 )
            | ( c3_1 @ X105 )
            | ~ ( c2_1 @ X105 ) ) )
      | hskp27
      | hskp1 )
    & ( ! [X106: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X106 )
            | ~ ( c0_1 @ X106 )
            | ~ ( c2_1 @ X106 ) ) )
      | ! [X107: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X107 )
            | ~ ( c2_1 @ X107 )
            | ~ ( c3_1 @ X107 ) ) )
      | hskp23 )
    & ( ! [X108: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X108 )
            | ~ ( c0_1 @ X108 )
            | ~ ( c2_1 @ X108 ) ) )
      | hskp24
      | hskp19 )
    & ( ! [X109: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X109 )
            | ( c3_1 @ X109 )
            | ~ ( c1_1 @ X109 ) ) )
      | ! [X110: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X110 )
            | ~ ( c2_1 @ X110 )
            | ~ ( c3_1 @ X110 ) ) )
      | hskp5 )
    & ( ! [X111: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X111 )
            | ~ ( c0_1 @ X111 )
            | ~ ( c3_1 @ X111 ) ) )
      | hskp15
      | hskp4 )
    & ( ! [X112: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X112 )
            | ~ ( c1_1 @ X112 )
            | ~ ( c3_1 @ X112 ) ) )
      | hskp28
      | hskp10 )
    & ( ! [X113: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X113 )
            | ~ ( c1_1 @ X113 )
            | ~ ( c3_1 @ X113 ) ) )
      | hskp14
      | hskp17 )
    & ( ! [X114: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X114 )
            | ~ ( c0_1 @ X114 )
            | ~ ( c1_1 @ X114 ) ) )
      | hskp14
      | hskp24 )
    & ( ! [X115: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X115 )
            | ~ ( c1_1 @ X115 )
            | ~ ( c2_1 @ X115 ) ) )
      | ! [X116: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X116 )
            | ~ ( c2_1 @ X116 )
            | ~ ( c3_1 @ X116 ) ) )
      | hskp21 )
    & ( ! [X117: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X117 )
            | ~ ( c1_1 @ X117 )
            | ~ ( c2_1 @ X117 ) ) )
      | hskp1
      | hskp21 )
    & ( ! [X118: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X118 )
            | ~ ( c1_1 @ X118 )
            | ~ ( c2_1 @ X118 ) ) )
      | hskp9
      | hskp5 )
    & ( ! [X119: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X119 )
            | ~ ( c2_1 @ X119 )
            | ~ ( c3_1 @ X119 ) ) )
      | ! [X120: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X120 )
            | ~ ( c2_1 @ X120 )
            | ~ ( c3_1 @ X120 ) ) ) )
    & ( ! [X121: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X121 )
            | ~ ( c2_1 @ X121 )
            | ~ ( c3_1 @ X121 ) ) )
      | hskp23
      | hskp16 )
    & ( hskp27
      | hskp24
      | hskp18 )
    & ( hskp28
      | hskp30
      | hskp11 )
    & ( hskp28
      | hskp19
      | hskp9 )
    & ( hskp13
      | hskp12
      | hskp25 )
    & ( hskp30
      | hskp26
      | hskp12 )
    & ( hskp11
      | hskp21
      | hskp2 )
    & ( hskp24
      | hskp18
      | hskp4 )
    & ( hskp29
      | hskp0
      | hskp16 )
    & ( hskp22
      | hskp8
      | hskp0 )
    & ( hskp7
      | hskp25
      | hskp5 ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl193,plain,
    ( ~ hskp2
    | ( c3_1 @ a670 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl738,plain,
    ( ( c3_1 @ a670 )
   <= ( c3_1 @ a670 ) ),
    inference(split,[status(esa)],[zip_derived_cl193]) ).

thf(zip_derived_cl29,plain,
    ! [X30: $i] :
      ( ( c1_1 @ X30 )
      | ( c2_1 @ X30 )
      | ~ ( c3_1 @ X30 )
      | ~ ndr1_0
      | hskp20
      | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl309,plain,
    ( ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ( c2_1 @ X30 )
        | ~ ( c3_1 @ X30 ) )
   <= ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ( c2_1 @ X30 )
        | ~ ( c3_1 @ X30 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl1743,plain,
    ( ( ( c1_1 @ a670 )
      | ( c2_1 @ a670 ) )
   <= ( ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ( c2_1 @ X30 )
          | ~ ( c3_1 @ X30 ) )
      & ( c3_1 @ a670 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl738,zip_derived_cl309]) ).

thf('0',plain,
    ( ~ ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ( c2_1 @ X30 )
          | ~ ( c3_1 @ X30 ) )
    | ~ ( c3_1 @ a670 )
    | ( c1_1 @ a670 )
    | ( c2_1 @ a670 ) ),
    inference(split,[status(esa)],[zip_derived_cl1743]) ).

thf(zip_derived_cl738_001,plain,
    ( ( c3_1 @ a670 )
   <= ( c3_1 @ a670 ) ),
    inference(split,[status(esa)],[zip_derived_cl193]) ).

thf(zip_derived_cl39,plain,
    ! [X45: $i] :
      ( ( c0_1 @ X45 )
      | ~ ( c2_1 @ X45 )
      | ~ ( c3_1 @ X45 )
      | ~ ndr1_0
      | hskp11
      | hskp16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl349,plain,
    ( ! [X45: $i] :
        ( ( c0_1 @ X45 )
        | ~ ( c2_1 @ X45 )
        | ~ ( c3_1 @ X45 ) )
   <= ! [X45: $i] :
        ( ( c0_1 @ X45 )
        | ~ ( c2_1 @ X45 )
        | ~ ( c3_1 @ X45 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl1746,plain,
    ( ( ( c0_1 @ a670 )
      | ~ ( c2_1 @ a670 ) )
   <= ( ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ~ ( c2_1 @ X45 )
          | ~ ( c3_1 @ X45 ) )
      & ( c3_1 @ a670 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl738,zip_derived_cl349]) ).

thf('1',plain,
    ( ~ ( c2_1 @ a670 )
    | ( c0_1 @ a670 )
    | ~ ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ~ ( c2_1 @ X45 )
          | ~ ( c3_1 @ X45 ) )
    | ~ ( c3_1 @ a670 ) ),
    inference(split,[status(esa)],[zip_derived_cl1746]) ).

thf(zip_derived_cl83,plain,
    ( ~ hskp30
    | ( c3_1 @ a753 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl518,plain,
    ( ( c3_1 @ a753 )
   <= ( c3_1 @ a753 ) ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl37,plain,
    ! [X41: $i,X42: $i] :
      ( ( c1_1 @ X41 )
      | ( c2_1 @ X41 )
      | ~ ( c0_1 @ X41 )
      | ~ ndr1_0
      | ( c1_1 @ X42 )
      | ~ ( c0_1 @ X42 )
      | ~ ( c3_1 @ X42 )
      | ~ ndr1_0
      | hskp6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl341,plain,
    ( ! [X42: $i] :
        ( ( c1_1 @ X42 )
        | ~ ( c0_1 @ X42 )
        | ~ ( c3_1 @ X42 ) )
   <= ! [X42: $i] :
        ( ( c1_1 @ X42 )
        | ~ ( c0_1 @ X42 )
        | ~ ( c3_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl1446,plain,
    ( ( ( c1_1 @ a753 )
      | ~ ( c0_1 @ a753 ) )
   <= ( ! [X42: $i] :
          ( ( c1_1 @ X42 )
          | ~ ( c0_1 @ X42 )
          | ~ ( c3_1 @ X42 ) )
      & ( c3_1 @ a753 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl518,zip_derived_cl341]) ).

thf('2',plain,
    ( ( c1_1 @ a753 )
    | ~ ( c0_1 @ a753 )
    | ~ ! [X42: $i] :
          ( ( c1_1 @ X42 )
          | ~ ( c0_1 @ X42 )
          | ~ ( c3_1 @ X42 ) )
    | ~ ( c3_1 @ a753 ) ),
    inference(split,[status(esa)],[zip_derived_cl1446]) ).

thf(zip_derived_cl121,plain,
    ( ~ hskp20
    | ( c0_1 @ a711 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('3',plain,
    ( ( c0_1 @ a711 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl122,plain,
    ( ~ hskp20
    | ( c1_1 @ a711 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('4',plain,
    ( ( c1_1 @ a711 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl35,plain,
    ! [X38: $i] :
      ( ( c1_1 @ X38 )
      | ( c2_1 @ X38 )
      | ~ ( c0_1 @ X38 )
      | ~ ndr1_0
      | hskp20
      | hskp13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('5',plain,
    ( hskp20
    | ! [X35: $i] :
        ( ( c1_1 @ X35 )
        | ( c2_1 @ X35 )
        | ~ ( c0_1 @ X35 ) )
    | hskp13
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl149,plain,
    ( ~ hskp13
    | ( c0_1 @ a688 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('6',plain,
    ( ( c0_1 @ a688 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl150,plain,
    ( ~ hskp13
    | ( c1_1 @ a688 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('7',plain,
    ( ( c1_1 @ a688 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf(zip_derived_cl151,plain,
    ( ~ hskp13
    | ~ ( c3_1 @ a688 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('8',plain,
    ( ~ ( c3_1 @ a688 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl654,plain,
    ( ~ ( c3_1 @ a688 )
   <= ~ ( c3_1 @ a688 ) ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl15,plain,
    ! [X7: $i] :
      ( ( c3_1 @ X7 )
      | ~ ( c0_1 @ X7 )
      | ~ ( c1_1 @ X7 )
      | ~ ndr1_0
      | hskp14
      | hskp24 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl253,plain,
    ( ! [X7: $i] :
        ( ( c3_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c1_1 @ X7 ) )
   <= ! [X7: $i] :
        ( ( c3_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c1_1 @ X7 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl887,plain,
    ( ( ~ ( c0_1 @ a688 )
      | ~ ( c1_1 @ a688 ) )
   <= ( ~ ( c3_1 @ a688 )
      & ! [X7: $i] :
          ( ( c3_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c1_1 @ X7 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl654,zip_derived_cl253]) ).

thf('9',plain,
    ( ~ ( c0_1 @ a688 )
    | ( c3_1 @ a688 )
    | ~ ! [X7: $i] :
          ( ( c3_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c1_1 @ X7 ) )
    | ~ ( c1_1 @ a688 ) ),
    inference(split,[status(esa)],[zip_derived_cl887]) ).

thf(zip_derived_cl32,plain,
    ! [X35: $i] :
      ( ( c1_1 @ X35 )
      | ( c2_1 @ X35 )
      | ~ ( c0_1 @ X35 )
      | ~ ndr1_0
      | hskp9
      | hskp2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl321,plain,
    ( ! [X35: $i] :
        ( ( c1_1 @ X35 )
        | ( c2_1 @ X35 )
        | ~ ( c0_1 @ X35 ) )
   <= ! [X35: $i] :
        ( ( c1_1 @ X35 )
        | ( c2_1 @ X35 )
        | ~ ( c0_1 @ X35 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl159,plain,
    ( ~ hskp11
    | ~ ( c2_1 @ a683 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl670,plain,
    ( ~ ( c2_1 @ a683 )
   <= ~ ( c2_1 @ a683 ) ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl1313,plain,
    ( ( ~ ( c0_1 @ a683 )
      | ( c1_1 @ a683 ) )
   <= ( ~ ( c2_1 @ a683 )
      & ! [X35: $i] :
          ( ( c1_1 @ X35 )
          | ( c2_1 @ X35 )
          | ~ ( c0_1 @ X35 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl321,zip_derived_cl670]) ).

thf('10',plain,
    ( ( c1_1 @ a683 )
    | ~ ( c0_1 @ a683 )
    | ~ ! [X35: $i] :
          ( ( c1_1 @ X35 )
          | ( c2_1 @ X35 )
          | ~ ( c0_1 @ X35 ) )
    | ( c2_1 @ a683 ) ),
    inference(split,[status(esa)],[zip_derived_cl1313]) ).

thf(zip_derived_cl158,plain,
    ( ~ hskp11
    | ( c3_1 @ a683 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl668,plain,
    ( ( c3_1 @ a683 )
   <= ( c3_1 @ a683 ) ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl309_002,plain,
    ( ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ( c2_1 @ X30 )
        | ~ ( c3_1 @ X30 ) )
   <= ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ( c2_1 @ X30 )
        | ~ ( c3_1 @ X30 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl1629,plain,
    ( ( ( c1_1 @ a683 )
      | ( c2_1 @ a683 ) )
   <= ( ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ( c2_1 @ X30 )
          | ~ ( c3_1 @ X30 ) )
      & ( c3_1 @ a683 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl668,zip_derived_cl309]) ).

thf('11',plain,
    ( ( c1_1 @ a683 )
    | ( c2_1 @ a683 )
    | ~ ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ( c2_1 @ X30 )
          | ~ ( c3_1 @ X30 ) )
    | ~ ( c3_1 @ a683 ) ),
    inference(split,[status(esa)],[zip_derived_cl1629]) ).

thf(zip_derived_cl594,plain,
    ( ( c0_1 @ a711 )
   <= ( c0_1 @ a711 ) ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl253_003,plain,
    ( ! [X7: $i] :
        ( ( c3_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c1_1 @ X7 ) )
   <= ! [X7: $i] :
        ( ( c3_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c1_1 @ X7 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl30,plain,
    ! [X31: $i,X32: $i] :
      ( ( c1_1 @ X31 )
      | ( c2_1 @ X31 )
      | ~ ( c3_1 @ X31 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X32 )
      | ~ ( c1_1 @ X32 )
      | ~ ( c3_1 @ X32 )
      | ~ ndr1_0
      | hskp16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl314,plain,
    ( ! [X32: $i] :
        ( ~ ( c0_1 @ X32 )
        | ~ ( c1_1 @ X32 )
        | ~ ( c3_1 @ X32 ) )
   <= ! [X32: $i] :
        ( ~ ( c0_1 @ X32 )
        | ~ ( c1_1 @ X32 )
        | ~ ( c3_1 @ X32 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl1212,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X7: $i] :
          ( ( c3_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c1_1 @ X7 ) )
      & ! [X32: $i] :
          ( ~ ( c0_1 @ X32 )
          | ~ ( c1_1 @ X32 )
          | ~ ( c3_1 @ X32 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl253,zip_derived_cl314]) ).

thf(zip_derived_cl1218,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X7: $i] :
          ( ( c3_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c1_1 @ X7 ) )
      & ! [X32: $i] :
          ( ~ ( c0_1 @ X32 )
          | ~ ( c1_1 @ X32 )
          | ~ ( c3_1 @ X32 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1212]) ).

thf(zip_derived_cl1479,plain,
    ( ~ ( c1_1 @ a711 )
   <= ( ! [X7: $i] :
          ( ( c3_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c1_1 @ X7 ) )
      & ! [X32: $i] :
          ( ~ ( c0_1 @ X32 )
          | ~ ( c1_1 @ X32 )
          | ~ ( c3_1 @ X32 ) )
      & ( c0_1 @ a711 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl594,zip_derived_cl1218]) ).

thf(zip_derived_cl596,plain,
    ( ( c1_1 @ a711 )
   <= ( c1_1 @ a711 ) ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf('12',plain,
    ( ~ ( c0_1 @ a711 )
    | ~ ( c1_1 @ a711 )
    | ~ ! [X7: $i] :
          ( ( c3_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c1_1 @ X7 ) )
    | ~ ! [X32: $i] :
          ( ~ ( c0_1 @ X32 )
          | ~ ( c1_1 @ X32 )
          | ~ ( c3_1 @ X32 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1479,zip_derived_cl596]) ).

thf(zip_derived_cl4,plain,
    ( hskp11
    | hskp21
    | hskp2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('13',plain,
    ( hskp2
    | hskp21
    | hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf('14',plain,
    ( ( c3_1 @ a670 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl193]) ).

thf(zip_derived_cl194,plain,
    ( ~ hskp2
    | ~ ( c0_1 @ a670 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('15',plain,
    ( ~ ( c0_1 @ a670 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl194]) ).

thf(zip_derived_cl195,plain,
    ( ~ hskp2
    | ~ ( c1_1 @ a670 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('16',plain,
    ( ~ ( c1_1 @ a670 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl195]) ).

thf(zip_derived_cl738_004,plain,
    ( ( c3_1 @ a670 )
   <= ( c3_1 @ a670 ) ),
    inference(split,[status(esa)],[zip_derived_cl193]) ).

thf(zip_derived_cl65,plain,
    ! [X99: $i,X100: $i] :
      ( ( c0_1 @ X99 )
      | ( c1_1 @ X99 )
      | ~ ( c3_1 @ X99 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X100 )
      | ~ ( c2_1 @ X100 )
      | ~ ( c3_1 @ X100 )
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl453,plain,
    ( ! [X99: $i] :
        ( ( c0_1 @ X99 )
        | ( c1_1 @ X99 )
        | ~ ( c3_1 @ X99 ) )
   <= ! [X99: $i] :
        ( ( c0_1 @ X99 )
        | ( c1_1 @ X99 )
        | ~ ( c3_1 @ X99 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl65]) ).

thf(zip_derived_cl1977,plain,
    ( ( ( c0_1 @ a670 )
      | ( c1_1 @ a670 ) )
   <= ( ! [X99: $i] :
          ( ( c0_1 @ X99 )
          | ( c1_1 @ X99 )
          | ~ ( c3_1 @ X99 ) )
      & ( c3_1 @ a670 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl738,zip_derived_cl453]) ).

thf('17',plain,
    ( ~ ! [X99: $i] :
          ( ( c0_1 @ X99 )
          | ( c1_1 @ X99 )
          | ~ ( c3_1 @ X99 ) )
    | ~ ( c3_1 @ a670 )
    | ( c0_1 @ a670 )
    | ( c1_1 @ a670 ) ),
    inference(split,[status(esa)],[zip_derived_cl1977]) ).

thf(zip_derived_cl138,plain,
    ( ~ hskp16
    | ( c3_1 @ a702 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl628,plain,
    ( ( c3_1 @ a702 )
   <= ( c3_1 @ a702 ) ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf(zip_derived_cl341_005,plain,
    ( ! [X42: $i] :
        ( ( c1_1 @ X42 )
        | ~ ( c0_1 @ X42 )
        | ~ ( c3_1 @ X42 ) )
   <= ! [X42: $i] :
        ( ( c1_1 @ X42 )
        | ~ ( c0_1 @ X42 )
        | ~ ( c3_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl1552,plain,
    ( ( ( c1_1 @ a702 )
      | ~ ( c0_1 @ a702 ) )
   <= ( ! [X42: $i] :
          ( ( c1_1 @ X42 )
          | ~ ( c0_1 @ X42 )
          | ~ ( c3_1 @ X42 ) )
      & ( c3_1 @ a702 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl628,zip_derived_cl341]) ).

thf('18',plain,
    ( ( c1_1 @ a702 )
    | ~ ( c0_1 @ a702 )
    | ~ ! [X42: $i] :
          ( ( c1_1 @ X42 )
          | ~ ( c0_1 @ X42 )
          | ~ ( c3_1 @ X42 ) )
    | ~ ( c3_1 @ a702 ) ),
    inference(split,[status(esa)],[zip_derived_cl1552]) ).

thf(zip_derived_cl170,plain,
    ( ~ hskp8
    | ( c3_1 @ a679 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl692,plain,
    ( ( c3_1 @ a679 )
   <= ( c3_1 @ a679 ) ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl16,plain,
    ! [X8: $i] :
      ( ( c2_1 @ X8 )
      | ~ ( c1_1 @ X8 )
      | ~ ( c3_1 @ X8 )
      | ~ ndr1_0
      | hskp14
      | hskp17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl257,plain,
    ( ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c1_1 @ X8 )
        | ~ ( c3_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c1_1 @ X8 )
        | ~ ( c3_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl1691,plain,
    ( ( ( c2_1 @ a679 )
      | ~ ( c1_1 @ a679 ) )
   <= ( ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c1_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
      & ( c3_1 @ a679 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl692,zip_derived_cl257]) ).

thf(zip_derived_cl5624,plain,
    ( ( c2_1 @ a679 )
   <= ( c2_1 @ a679 ) ),
    inference(split,[status(esa)],[zip_derived_cl1691]) ).

thf(zip_derived_cl44,plain,
    ! [X53: $i,X54: $i] :
      ( ( c0_1 @ X53 )
      | ~ ( c1_1 @ X53 )
      | ~ ( c2_1 @ X53 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X54 )
      | ~ ( c1_1 @ X54 )
      | ~ ( c3_1 @ X54 )
      | ~ ndr1_0
      | hskp15 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl370,plain,
    ( ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ~ ( c1_1 @ X53 )
        | ~ ( c2_1 @ X53 ) )
   <= ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ~ ( c1_1 @ X53 )
        | ~ ( c2_1 @ X53 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl44]) ).

thf(zip_derived_cl5650,plain,
    ( ( ( c0_1 @ a679 )
      | ~ ( c1_1 @ a679 ) )
   <= ( ! [X53: $i] :
          ( ( c0_1 @ X53 )
          | ~ ( c1_1 @ X53 )
          | ~ ( c2_1 @ X53 ) )
      & ( c2_1 @ a679 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl5624,zip_derived_cl370]) ).

thf('19',plain,
    ( ~ ( c2_1 @ a679 )
    | ( c0_1 @ a679 )
    | ~ ! [X53: $i] :
          ( ( c0_1 @ X53 )
          | ~ ( c1_1 @ X53 )
          | ~ ( c2_1 @ X53 ) )
    | ~ ( c1_1 @ a679 ) ),
    inference(split,[status(esa)],[zip_derived_cl5650]) ).

thf(zip_derived_cl203,plain,
    ( ~ hskp0
    | ~ ( c3_1 @ a668 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl758,plain,
    ( ~ ( c3_1 @ a668 )
   <= ~ ( c3_1 @ a668 ) ),
    inference(split,[status(esa)],[zip_derived_cl203]) ).

thf(zip_derived_cl19,plain,
    ! [X11: $i,X12: $i] :
      ( ( c2_1 @ X11 )
      | ( c3_1 @ X11 )
      | ~ ( c1_1 @ X11 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X12 )
      | ~ ( c2_1 @ X12 )
      | ~ ( c3_1 @ X12 )
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl270,plain,
    ( ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ( c3_1 @ X11 )
        | ~ ( c1_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ( c3_1 @ X11 )
        | ~ ( c1_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl975,plain,
    ( ( ( c2_1 @ a668 )
      | ~ ( c1_1 @ a668 ) )
   <= ( ~ ( c3_1 @ a668 )
      & ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ( c3_1 @ X11 )
          | ~ ( c1_1 @ X11 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl758,zip_derived_cl270]) ).

thf('20',plain,
    ( ~ ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ( c3_1 @ X11 )
          | ~ ( c1_1 @ X11 ) )
    | ( c3_1 @ a668 )
    | ~ ( c1_1 @ a668 )
    | ( c2_1 @ a668 ) ),
    inference(split,[status(esa)],[zip_derived_cl975]) ).

thf(zip_derived_cl161,plain,
    ( ~ hskp10
    | ( c2_1 @ a681 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl674,plain,
    ( ( c2_1 @ a681 )
   <= ( c2_1 @ a681 ) ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl370_006,plain,
    ( ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ~ ( c1_1 @ X53 )
        | ~ ( c2_1 @ X53 ) )
   <= ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ~ ( c1_1 @ X53 )
        | ~ ( c2_1 @ X53 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl44]) ).

thf(zip_derived_cl1758,plain,
    ( ( ( c0_1 @ a681 )
      | ~ ( c1_1 @ a681 ) )
   <= ( ! [X53: $i] :
          ( ( c0_1 @ X53 )
          | ~ ( c1_1 @ X53 )
          | ~ ( c2_1 @ X53 ) )
      & ( c2_1 @ a681 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl674,zip_derived_cl370]) ).

thf('21',plain,
    ( ~ ( c1_1 @ a681 )
    | ~ ( c2_1 @ a681 )
    | ~ ! [X53: $i] :
          ( ( c0_1 @ X53 )
          | ~ ( c1_1 @ X53 )
          | ~ ( c2_1 @ X53 ) )
    | ( c0_1 @ a681 ) ),
    inference(split,[status(esa)],[zip_derived_cl1758]) ).

thf(zip_derived_cl56,plain,
    ! [X80: $i,X81: $i] :
      ( ( c0_1 @ X80 )
      | ( c3_1 @ X80 )
      | ~ ( c1_1 @ X80 )
      | ~ ndr1_0
      | ( c1_1 @ X81 )
      | ~ ( c0_1 @ X81 )
      | ~ ( c3_1 @ X81 )
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('22',plain,
    ( ! [X42: $i] :
        ( ( c1_1 @ X42 )
        | ~ ( c0_1 @ X42 )
        | ~ ( c3_1 @ X42 ) )
    | hskp8
    | ! [X73: $i] :
        ( ( c0_1 @ X73 )
        | ( c3_1 @ X73 )
        | ~ ( c1_1 @ X73 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl56]) ).

thf(zip_derived_cl668_007,plain,
    ( ( c3_1 @ a683 )
   <= ( c3_1 @ a683 ) ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl341_008,plain,
    ( ! [X42: $i] :
        ( ( c1_1 @ X42 )
        | ~ ( c0_1 @ X42 )
        | ~ ( c3_1 @ X42 ) )
   <= ! [X42: $i] :
        ( ( c1_1 @ X42 )
        | ~ ( c0_1 @ X42 )
        | ~ ( c3_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl1631,plain,
    ( ( ( c1_1 @ a683 )
      | ~ ( c0_1 @ a683 ) )
   <= ( ! [X42: $i] :
          ( ( c1_1 @ X42 )
          | ~ ( c0_1 @ X42 )
          | ~ ( c3_1 @ X42 ) )
      & ( c3_1 @ a683 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl668,zip_derived_cl341]) ).

thf('23',plain,
    ( ( c1_1 @ a683 )
    | ~ ( c3_1 @ a683 )
    | ~ ! [X42: $i] :
          ( ( c1_1 @ X42 )
          | ~ ( c0_1 @ X42 )
          | ~ ( c3_1 @ X42 ) )
    | ~ ( c0_1 @ a683 ) ),
    inference(split,[status(esa)],[zip_derived_cl1631]) ).

thf(zip_derived_cl46,plain,
    ! [X57: $i,X58: $i,X59: $i] :
      ( ( c0_1 @ X57 )
      | ~ ( c1_1 @ X57 )
      | ~ ( c2_1 @ X57 )
      | ~ ndr1_0
      | ( c2_1 @ X58 )
      | ( c3_1 @ X58 )
      | ~ ( c0_1 @ X58 )
      | ~ ndr1_0
      | ( c2_1 @ X59 )
      | ~ ( c0_1 @ X59 )
      | ~ ( c1_1 @ X59 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl377,plain,
    ( ! [X59: $i] :
        ( ( c2_1 @ X59 )
        | ~ ( c0_1 @ X59 )
        | ~ ( c1_1 @ X59 ) )
   <= ! [X59: $i] :
        ( ( c2_1 @ X59 )
        | ~ ( c0_1 @ X59 )
        | ~ ( c1_1 @ X59 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl670_009,plain,
    ( ~ ( c2_1 @ a683 )
   <= ~ ( c2_1 @ a683 ) ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl1786,plain,
    ( ( ~ ( c1_1 @ a683 )
      | ~ ( c0_1 @ a683 ) )
   <= ( ~ ( c2_1 @ a683 )
      & ! [X59: $i] :
          ( ( c2_1 @ X59 )
          | ~ ( c0_1 @ X59 )
          | ~ ( c1_1 @ X59 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl377,zip_derived_cl670]) ).

thf('24',plain,
    ( ~ ( c1_1 @ a683 )
    | ( c2_1 @ a683 )
    | ~ ! [X59: $i] :
          ( ( c2_1 @ X59 )
          | ~ ( c0_1 @ X59 )
          | ~ ( c1_1 @ X59 ) )
    | ~ ( c0_1 @ a683 ) ),
    inference(split,[status(esa)],[zip_derived_cl1786]) ).

thf(zip_derived_cl17,plain,
    ! [X9: $i] :
      ( ( c2_1 @ X9 )
      | ~ ( c1_1 @ X9 )
      | ~ ( c3_1 @ X9 )
      | ~ ndr1_0
      | hskp28
      | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('25',plain,
    ( hskp28
    | ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c1_1 @ X8 )
        | ~ ( c3_1 @ X8 ) )
    | ~ ndr1_0
    | hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl91,plain,
    ( ~ hskp28
    | ( c3_1 @ a678 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl534,plain,
    ( ( c3_1 @ a678 )
   <= ( c3_1 @ a678 ) ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i] :
      ( ~ ( c1_1 @ X0 )
      | ~ ( c2_1 @ X0 )
      | ~ ( c3_1 @ X0 )
      | ~ ndr1_0
      | hskp23
      | hskp16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl234,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl1401,plain,
    ( ( ~ ( c1_1 @ a678 )
      | ~ ( c2_1 @ a678 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c3_1 @ a678 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl534,zip_derived_cl234]) ).

thf(zip_derived_cl2465,plain,
    ( ~ ( c2_1 @ a678 )
   <= ~ ( c2_1 @ a678 ) ),
    inference(split,[status(esa)],[zip_derived_cl1401]) ).

thf(zip_derived_cl377_010,plain,
    ( ! [X59: $i] :
        ( ( c2_1 @ X59 )
        | ~ ( c0_1 @ X59 )
        | ~ ( c1_1 @ X59 ) )
   <= ! [X59: $i] :
        ( ( c2_1 @ X59 )
        | ~ ( c0_1 @ X59 )
        | ~ ( c1_1 @ X59 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl2469,plain,
    ( ( ~ ( c0_1 @ a678 )
      | ~ ( c1_1 @ a678 ) )
   <= ( ~ ( c2_1 @ a678 )
      & ! [X59: $i] :
          ( ( c2_1 @ X59 )
          | ~ ( c0_1 @ X59 )
          | ~ ( c1_1 @ X59 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2465,zip_derived_cl377]) ).

thf('26',plain,
    ( ~ ( c0_1 @ a678 )
    | ~ ( c1_1 @ a678 )
    | ~ ! [X59: $i] :
          ( ( c2_1 @ X59 )
          | ~ ( c0_1 @ X59 )
          | ~ ( c1_1 @ X59 ) )
    | ( c2_1 @ a678 ) ),
    inference(split,[status(esa)],[zip_derived_cl2469]) ).

thf(zip_derived_cl55,plain,
    ! [X77: $i,X78: $i,X79: $i] :
      ( ( c0_1 @ X77 )
      | ( c3_1 @ X77 )
      | ~ ( c1_1 @ X77 )
      | ~ ndr1_0
      | ( c2_1 @ X78 )
      | ~ ( c0_1 @ X78 )
      | ~ ( c1_1 @ X78 )
      | ~ ndr1_0
      | ( c2_1 @ X79 )
      | ~ ( c1_1 @ X79 )
      | ~ ( c3_1 @ X79 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('27',plain,
    ( ! [X59: $i] :
        ( ( c2_1 @ X59 )
        | ~ ( c0_1 @ X59 )
        | ~ ( c1_1 @ X59 ) )
    | ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c1_1 @ X8 )
        | ~ ( c3_1 @ X8 ) )
    | ~ ndr1_0
    | ! [X73: $i] :
        ( ( c0_1 @ X73 )
        | ( c3_1 @ X73 )
        | ~ ( c1_1 @ X73 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf(zip_derived_cl518_011,plain,
    ( ( c3_1 @ a753 )
   <= ( c3_1 @ a753 ) ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl234_012,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl1371,plain,
    ( ( ~ ( c1_1 @ a753 )
      | ~ ( c2_1 @ a753 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c3_1 @ a753 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl518,zip_derived_cl234]) ).

thf('28',plain,
    ( ~ ( c1_1 @ a753 )
    | ~ ( c3_1 @ a753 )
    | ~ ( c2_1 @ a753 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl1371]) ).

thf(zip_derived_cl82,plain,
    ( ~ hskp30
    | ( c2_1 @ a753 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl516,plain,
    ( ( c2_1 @ a753 )
   <= ( c2_1 @ a753 ) ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl20,plain,
    ! [X13: $i] :
      ( ( c1_1 @ X13 )
      | ~ ( c0_1 @ X13 )
      | ~ ( c2_1 @ X13 )
      | ~ ndr1_0
      | hskp24
      | hskp19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl273,plain,
    ( ! [X13: $i] :
        ( ( c1_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c2_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c1_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c2_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl1367,plain,
    ( ( ( c1_1 @ a753 )
      | ~ ( c0_1 @ a753 ) )
   <= ( ! [X13: $i] :
          ( ( c1_1 @ X13 )
          | ~ ( c0_1 @ X13 )
          | ~ ( c2_1 @ X13 ) )
      & ( c2_1 @ a753 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl516,zip_derived_cl273]) ).

thf('29',plain,
    ( ~ ( c0_1 @ a753 )
    | ~ ( c2_1 @ a753 )
    | ~ ! [X13: $i] :
          ( ( c1_1 @ X13 )
          | ~ ( c0_1 @ X13 )
          | ~ ( c2_1 @ X13 ) )
    | ( c1_1 @ a753 ) ),
    inference(split,[status(esa)],[zip_derived_cl1367]) ).

thf(zip_derived_cl378,plain,
    ( ! [X58: $i] :
        ( ( c2_1 @ X58 )
        | ( c3_1 @ X58 )
        | ~ ( c0_1 @ X58 ) )
   <= ! [X58: $i] :
        ( ( c2_1 @ X58 )
        | ( c3_1 @ X58 )
        | ~ ( c0_1 @ X58 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl758_013,plain,
    ( ~ ( c3_1 @ a668 )
   <= ~ ( c3_1 @ a668 ) ),
    inference(split,[status(esa)],[zip_derived_cl203]) ).

thf(zip_derived_cl1844,plain,
    ( ( ~ ( c0_1 @ a668 )
      | ( c2_1 @ a668 ) )
   <= ( ~ ( c3_1 @ a668 )
      & ! [X58: $i] :
          ( ( c2_1 @ X58 )
          | ( c3_1 @ X58 )
          | ~ ( c0_1 @ X58 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl378,zip_derived_cl758]) ).

thf('30',plain,
    ( ~ ! [X58: $i] :
          ( ( c2_1 @ X58 )
          | ( c3_1 @ X58 )
          | ~ ( c0_1 @ X58 ) )
    | ~ ( c0_1 @ a668 )
    | ( c2_1 @ a668 )
    | ( c3_1 @ a668 ) ),
    inference(split,[status(esa)],[zip_derived_cl1844]) ).

thf(zip_derived_cl377_014,plain,
    ( ! [X59: $i] :
        ( ( c2_1 @ X59 )
        | ~ ( c0_1 @ X59 )
        | ~ ( c1_1 @ X59 ) )
   <= ! [X59: $i] :
        ( ( c2_1 @ X59 )
        | ~ ( c0_1 @ X59 )
        | ~ ( c1_1 @ X59 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl202,plain,
    ( ~ hskp0
    | ~ ( c2_1 @ a668 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl756,plain,
    ( ~ ( c2_1 @ a668 )
   <= ~ ( c2_1 @ a668 ) ),
    inference(split,[status(esa)],[zip_derived_cl202]) ).

thf(zip_derived_cl1780,plain,
    ( ( ~ ( c1_1 @ a668 )
      | ~ ( c0_1 @ a668 ) )
   <= ( ~ ( c2_1 @ a668 )
      & ! [X59: $i] :
          ( ( c2_1 @ X59 )
          | ~ ( c0_1 @ X59 )
          | ~ ( c1_1 @ X59 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl377,zip_derived_cl756]) ).

thf('31',plain,
    ( ~ ( c0_1 @ a668 )
    | ~ ! [X59: $i] :
          ( ( c2_1 @ X59 )
          | ~ ( c0_1 @ X59 )
          | ~ ( c1_1 @ X59 ) )
    | ~ ( c1_1 @ a668 )
    | ( c2_1 @ a668 ) ),
    inference(split,[status(esa)],[zip_derived_cl1780]) ).

thf('32',plain,
    ( ~ ( c2_1 @ a668 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl202]) ).

thf(zip_derived_cl692_015,plain,
    ( ( c3_1 @ a679 )
   <= ( c3_1 @ a679 ) ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl234_016,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl1689,plain,
    ( ( ~ ( c1_1 @ a679 )
      | ~ ( c2_1 @ a679 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c3_1 @ a679 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl692,zip_derived_cl234]) ).

thf('33',plain,
    ( ~ ( c2_1 @ a679 )
    | ~ ( c3_1 @ a679 )
    | ~ ( c1_1 @ a679 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl1689]) ).

thf(zip_derived_cl147,plain,
    ( ~ hskp14
    | ~ ( c3_1 @ a696 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl646,plain,
    ( ~ ( c3_1 @ a696 )
   <= ~ ( c3_1 @ a696 ) ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl13,plain,
    ! [X4: $i] :
      ( ( c3_1 @ X4 )
      | ~ ( c1_1 @ X4 )
      | ~ ( c2_1 @ X4 )
      | ~ ndr1_0
      | hskp1
      | hskp21 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl245,plain,
    ( ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl882,plain,
    ( ( ~ ( c1_1 @ a696 )
      | ~ ( c2_1 @ a696 ) )
   <= ( ~ ( c3_1 @ a696 )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl646,zip_derived_cl245]) ).

thf('34',plain,
    ( ~ ( c1_1 @ a696 )
    | ( c3_1 @ a696 )
    | ~ ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
    | ~ ( c2_1 @ a696 ) ),
    inference(split,[status(esa)],[zip_derived_cl882]) ).

thf(zip_derived_cl146,plain,
    ( ~ hskp14
    | ( c2_1 @ a696 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl644,plain,
    ( ( c2_1 @ a696 )
   <= ( c2_1 @ a696 ) ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf(zip_derived_cl273_017,plain,
    ( ! [X13: $i] :
        ( ( c1_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c2_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c1_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c2_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl1573,plain,
    ( ( ( c1_1 @ a696 )
      | ~ ( c0_1 @ a696 ) )
   <= ( ! [X13: $i] :
          ( ( c1_1 @ X13 )
          | ~ ( c0_1 @ X13 )
          | ~ ( c2_1 @ X13 ) )
      & ( c2_1 @ a696 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl644,zip_derived_cl273]) ).

thf('35',plain,
    ( ( c1_1 @ a696 )
    | ~ ( c2_1 @ a696 )
    | ~ ! [X13: $i] :
          ( ( c1_1 @ X13 )
          | ~ ( c0_1 @ X13 )
          | ~ ( c2_1 @ X13 ) )
    | ~ ( c0_1 @ a696 ) ),
    inference(split,[status(esa)],[zip_derived_cl1573]) ).

thf(zip_derived_cl126,plain,
    ( ~ hskp19
    | ( c2_1 @ a710 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl604,plain,
    ( ( c2_1 @ a710 )
   <= ( c2_1 @ a710 ) ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl245_018,plain,
    ( ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl234_019,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl802,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl245,zip_derived_cl234]) ).

thf(zip_derived_cl804,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl802]) ).

thf(zip_derived_cl1484,plain,
    ( ~ ( c1_1 @ a710 )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
      & ( c2_1 @ a710 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl604,zip_derived_cl804]) ).

thf(zip_derived_cl125,plain,
    ( ~ hskp19
    | ( c1_1 @ a710 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl602,plain,
    ( ( c1_1 @ a710 )
   <= ( c1_1 @ a710 ) ),
    inference(split,[status(esa)],[zip_derived_cl125]) ).

thf('36',plain,
    ( ~ ( c1_1 @ a710 )
    | ~ ( c2_1 @ a710 )
    | ~ ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1484,zip_derived_cl602]) ).

thf(zip_derived_cl14,plain,
    ! [X5: $i,X6: $i] :
      ( ( c3_1 @ X5 )
      | ~ ( c1_1 @ X5 )
      | ~ ( c2_1 @ X5 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X6 )
      | ~ ( c2_1 @ X6 )
      | ~ ( c3_1 @ X6 )
      | ~ ndr1_0
      | hskp21 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('37',plain,
    ( ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) )
    | hskp21
    | ~ ndr1_0
    | ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl137,plain,
    ( ~ hskp16
    | ( c2_1 @ a702 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl626,plain,
    ( ( c2_1 @ a702 )
   <= ( c2_1 @ a702 ) ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(zip_derived_cl273_020,plain,
    ( ! [X13: $i] :
        ( ( c1_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c2_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c1_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c2_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl1541,plain,
    ( ( ( c1_1 @ a702 )
      | ~ ( c0_1 @ a702 ) )
   <= ( ! [X13: $i] :
          ( ( c1_1 @ X13 )
          | ~ ( c0_1 @ X13 )
          | ~ ( c2_1 @ X13 ) )
      & ( c2_1 @ a702 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl626,zip_derived_cl273]) ).

thf('38',plain,
    ( ( c1_1 @ a702 )
    | ~ ( c0_1 @ a702 )
    | ~ ! [X13: $i] :
          ( ( c1_1 @ X13 )
          | ~ ( c0_1 @ X13 )
          | ~ ( c2_1 @ X13 ) )
    | ~ ( c2_1 @ a702 ) ),
    inference(split,[status(esa)],[zip_derived_cl1541]) ).

thf('39',plain,
    ( ( c1_1 @ a710 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl125]) ).

thf('40',plain,
    ( ( c2_1 @ a710 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl127,plain,
    ( ~ hskp19
    | ~ ( c0_1 @ a710 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('41',plain,
    ( ~ ( c0_1 @ a710 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl604_021,plain,
    ( ( c2_1 @ a710 )
   <= ( c2_1 @ a710 ) ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl370_022,plain,
    ( ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ~ ( c1_1 @ X53 )
        | ~ ( c2_1 @ X53 ) )
   <= ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ~ ( c1_1 @ X53 )
        | ~ ( c2_1 @ X53 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl44]) ).

thf(zip_derived_cl1762,plain,
    ( ( ( c0_1 @ a710 )
      | ~ ( c1_1 @ a710 ) )
   <= ( ! [X53: $i] :
          ( ( c0_1 @ X53 )
          | ~ ( c1_1 @ X53 )
          | ~ ( c2_1 @ X53 ) )
      & ( c2_1 @ a710 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl604,zip_derived_cl370]) ).

thf('42',plain,
    ( ~ ( c1_1 @ a710 )
    | ~ ( c2_1 @ a710 )
    | ~ ! [X53: $i] :
          ( ( c0_1 @ X53 )
          | ~ ( c1_1 @ X53 )
          | ~ ( c2_1 @ X53 ) )
    | ( c0_1 @ a710 ) ),
    inference(split,[status(esa)],[zip_derived_cl1762]) ).

thf('43',plain,
    ( ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ~ ( c1_1 @ X53 )
        | ~ ( c2_1 @ X53 ) )
    | ! [X58: $i] :
        ( ( c2_1 @ X58 )
        | ( c3_1 @ X58 )
        | ~ ( c0_1 @ X58 ) )
    | ~ ndr1_0
    | ! [X59: $i] :
        ( ( c2_1 @ X59 )
        | ~ ( c0_1 @ X59 )
        | ~ ( c1_1 @ X59 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl377_023,plain,
    ( ! [X59: $i] :
        ( ( c2_1 @ X59 )
        | ~ ( c0_1 @ X59 )
        | ~ ( c1_1 @ X59 ) )
   <= ! [X59: $i] :
        ( ( c2_1 @ X59 )
        | ~ ( c0_1 @ X59 )
        | ~ ( c1_1 @ X59 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl118,plain,
    ( ~ hskp21
    | ~ ( c2_1 @ a715 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl588,plain,
    ( ~ ( c2_1 @ a715 )
   <= ~ ( c2_1 @ a715 ) ),
    inference(split,[status(esa)],[zip_derived_cl118]) ).

thf(zip_derived_cl1794,plain,
    ( ( ~ ( c1_1 @ a715 )
      | ~ ( c0_1 @ a715 ) )
   <= ( ~ ( c2_1 @ a715 )
      & ! [X59: $i] :
          ( ( c2_1 @ X59 )
          | ~ ( c0_1 @ X59 )
          | ~ ( c1_1 @ X59 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl377,zip_derived_cl588]) ).

thf('44',plain,
    ( ~ ( c1_1 @ a715 )
    | ~ ( c0_1 @ a715 )
    | ~ ! [X59: $i] :
          ( ( c2_1 @ X59 )
          | ~ ( c0_1 @ X59 )
          | ~ ( c1_1 @ X59 ) )
    | ( c2_1 @ a715 ) ),
    inference(split,[status(esa)],[zip_derived_cl1794]) ).

thf(zip_derived_cl25,plain,
    ! [X22: $i] :
      ( ( c1_1 @ X22 )
      | ( c3_1 @ X22 )
      | ~ ( c0_1 @ X22 )
      | ~ ndr1_0
      | hskp29
      | hskp15 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl293,plain,
    ( ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ( c3_1 @ X22 )
        | ~ ( c0_1 @ X22 ) )
   <= ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ( c3_1 @ X22 )
        | ~ ( c0_1 @ X22 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl119,plain,
    ( ~ hskp21
    | ~ ( c3_1 @ a715 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl590,plain,
    ( ~ ( c3_1 @ a715 )
   <= ~ ( c3_1 @ a715 ) ),
    inference(split,[status(esa)],[zip_derived_cl119]) ).

thf(zip_derived_cl1158,plain,
    ( ( ~ ( c0_1 @ a715 )
      | ( c1_1 @ a715 ) )
   <= ( ~ ( c3_1 @ a715 )
      & ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ( c3_1 @ X22 )
          | ~ ( c0_1 @ X22 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl293,zip_derived_cl590]) ).

thf('45',plain,
    ( ( c1_1 @ a715 )
    | ~ ( c0_1 @ a715 )
    | ~ ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ( c3_1 @ X22 )
          | ~ ( c0_1 @ X22 ) )
    | ( c3_1 @ a715 ) ),
    inference(split,[status(esa)],[zip_derived_cl1158]) ).

thf(zip_derived_cl378_024,plain,
    ( ! [X58: $i] :
        ( ( c2_1 @ X58 )
        | ( c3_1 @ X58 )
        | ~ ( c0_1 @ X58 ) )
   <= ! [X58: $i] :
        ( ( c2_1 @ X58 )
        | ( c3_1 @ X58 )
        | ~ ( c0_1 @ X58 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl590_025,plain,
    ( ~ ( c3_1 @ a715 )
   <= ~ ( c3_1 @ a715 ) ),
    inference(split,[status(esa)],[zip_derived_cl119]) ).

thf(zip_derived_cl1850,plain,
    ( ( ~ ( c0_1 @ a715 )
      | ( c2_1 @ a715 ) )
   <= ( ~ ( c3_1 @ a715 )
      & ! [X58: $i] :
          ( ( c2_1 @ X58 )
          | ( c3_1 @ X58 )
          | ~ ( c0_1 @ X58 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl378,zip_derived_cl590]) ).

thf('46',plain,
    ( ~ ! [X58: $i] :
          ( ( c2_1 @ X58 )
          | ( c3_1 @ X58 )
          | ~ ( c0_1 @ X58 ) )
    | ( c3_1 @ a715 )
    | ( c2_1 @ a715 )
    | ~ ( c0_1 @ a715 ) ),
    inference(split,[status(esa)],[zip_derived_cl1850]) ).

thf(zip_derived_cl117,plain,
    ( ~ hskp21
    | ( c0_1 @ a715 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('47',plain,
    ( ( c0_1 @ a715 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl117]) ).

thf('48',plain,
    ( ~ ( c2_1 @ a715 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl118]) ).

thf('49',plain,
    ( ~ ( c3_1 @ a715 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl119]) ).

thf('50',plain,
    ( ! [X13: $i] :
        ( ( c1_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c2_1 @ X13 ) )
    | hskp19
    | ~ ndr1_0
    | hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl59,plain,
    ! [X86: $i,X87: $i,X88: $i] :
      ( ( c0_1 @ X86 )
      | ( c2_1 @ X86 )
      | ~ ( c1_1 @ X86 )
      | ~ ndr1_0
      | ( c1_1 @ X87 )
      | ~ ( c2_1 @ X87 )
      | ~ ( c3_1 @ X87 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X88 )
      | ~ ( c2_1 @ X88 )
      | ~ ( c3_1 @ X88 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('51',plain,
    ( ! [X15: $i] :
        ( ( c1_1 @ X15 )
        | ~ ( c2_1 @ X15 )
        | ~ ( c3_1 @ X15 ) )
    | ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c2_1 @ X86 )
        | ~ ( c1_1 @ X86 ) )
    | ~ ndr1_0
    | ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl2691,plain,
    ( ~ ( c2_1 @ a679 )
   <= ~ ( c2_1 @ a679 ) ),
    inference(split,[status(esa)],[zip_derived_cl1689]) ).

thf(zip_derived_cl430,plain,
    ( ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c2_1 @ X86 )
        | ~ ( c1_1 @ X86 ) )
   <= ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c2_1 @ X86 )
        | ~ ( c1_1 @ X86 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl2697,plain,
    ( ( ( c0_1 @ a679 )
      | ~ ( c1_1 @ a679 ) )
   <= ( ~ ( c2_1 @ a679 )
      & ! [X86: $i] :
          ( ( c0_1 @ X86 )
          | ( c2_1 @ X86 )
          | ~ ( c1_1 @ X86 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2691,zip_derived_cl430]) ).

thf('52',plain,
    ( ~ ! [X86: $i] :
          ( ( c0_1 @ X86 )
          | ( c2_1 @ X86 )
          | ~ ( c1_1 @ X86 ) )
    | ( c2_1 @ a679 )
    | ~ ( c1_1 @ a679 )
    | ( c0_1 @ a679 ) ),
    inference(split,[status(esa)],[zip_derived_cl2697]) ).

thf('53',plain,
    ( ~ ( c2_1 @ a678 )
    | ~ ( c1_1 @ a678 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c3_1 @ a678 ) ),
    inference(split,[status(esa)],[zip_derived_cl1401]) ).

thf(zip_derived_cl71,plain,
    ! [X111: $i,X112: $i] :
      ( ( c0_1 @ X111 )
      | ( c1_1 @ X111 )
      | ~ ( c2_1 @ X111 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X112 )
      | ~ ( c2_1 @ X112 )
      | ~ ( c3_1 @ X112 )
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('54',plain,
    ( ! [X109: $i] :
        ( ( c0_1 @ X109 )
        | ( c1_1 @ X109 )
        | ~ ( c2_1 @ X109 ) )
    | hskp28
    | ~ ndr1_0
    | ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl71]) ).

thf(zip_derived_cl430_026,plain,
    ( ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c2_1 @ X86 )
        | ~ ( c1_1 @ X86 ) )
   <= ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c2_1 @ X86 )
        | ~ ( c1_1 @ X86 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl155,plain,
    ( ~ hskp12
    | ~ ( c2_1 @ a684 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl662,plain,
    ( ~ ( c2_1 @ a684 )
   <= ~ ( c2_1 @ a684 ) ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf(zip_derived_cl2082,plain,
    ( ( ~ ( c1_1 @ a684 )
      | ( c0_1 @ a684 ) )
   <= ( ~ ( c2_1 @ a684 )
      & ! [X86: $i] :
          ( ( c0_1 @ X86 )
          | ( c2_1 @ X86 )
          | ~ ( c1_1 @ X86 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl430,zip_derived_cl662]) ).

thf('55',plain,
    ( ~ ! [X86: $i] :
          ( ( c0_1 @ X86 )
          | ( c2_1 @ X86 )
          | ~ ( c1_1 @ X86 ) )
    | ~ ( c1_1 @ a684 )
    | ( c0_1 @ a684 )
    | ( c2_1 @ a684 ) ),
    inference(split,[status(esa)],[zip_derived_cl2082]) ).

thf(zip_derived_cl61,plain,
    ! [X92: $i,X93: $i,X94: $i] :
      ( ( c0_1 @ X92 )
      | ( c2_1 @ X92 )
      | ~ ( c1_1 @ X92 )
      | ~ ndr1_0
      | ( c0_1 @ X93 )
      | ~ ( c1_1 @ X93 )
      | ~ ( c3_1 @ X93 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X94 )
      | ~ ( c2_1 @ X94 )
      | ~ ( c3_1 @ X94 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('56',plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | ! [X46: $i] :
        ( ( c0_1 @ X46 )
        | ~ ( c1_1 @ X46 )
        | ~ ( c3_1 @ X46 ) )
    | ~ ndr1_0
    | ! [X86: $i] :
        ( ( c0_1 @ X86 )
        | ( c2_1 @ X86 )
        | ~ ( c1_1 @ X86 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(zip_derived_cl174,plain,
    ( ~ hskp7
    | ( c3_1 @ a675 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl700,plain,
    ( ( c3_1 @ a675 )
   <= ( c3_1 @ a675 ) ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf(zip_derived_cl314_027,plain,
    ( ! [X32: $i] :
        ( ~ ( c0_1 @ X32 )
        | ~ ( c1_1 @ X32 )
        | ~ ( c3_1 @ X32 ) )
   <= ! [X32: $i] :
        ( ~ ( c0_1 @ X32 )
        | ~ ( c1_1 @ X32 )
        | ~ ( c3_1 @ X32 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl1708,plain,
    ( ( ~ ( c0_1 @ a675 )
      | ~ ( c1_1 @ a675 ) )
   <= ( ! [X32: $i] :
          ( ~ ( c0_1 @ X32 )
          | ~ ( c1_1 @ X32 )
          | ~ ( c3_1 @ X32 ) )
      & ( c3_1 @ a675 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl700,zip_derived_cl314]) ).

thf('57',plain,
    ( ~ ( c0_1 @ a675 )
    | ~ ( c3_1 @ a675 )
    | ~ ! [X32: $i] :
          ( ~ ( c0_1 @ X32 )
          | ~ ( c1_1 @ X32 )
          | ~ ( c3_1 @ X32 ) )
    | ~ ( c1_1 @ a675 ) ),
    inference(split,[status(esa)],[zip_derived_cl1708]) ).

thf(zip_derived_cl700_028,plain,
    ( ( c3_1 @ a675 )
   <= ( c3_1 @ a675 ) ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf(zip_derived_cl40,plain,
    ! [X46: $i] :
      ( ( c0_1 @ X46 )
      | ~ ( c1_1 @ X46 )
      | ~ ( c3_1 @ X46 )
      | ~ ndr1_0
      | hskp6
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl353,plain,
    ( ! [X46: $i] :
        ( ( c0_1 @ X46 )
        | ~ ( c1_1 @ X46 )
        | ~ ( c3_1 @ X46 ) )
   <= ! [X46: $i] :
        ( ( c0_1 @ X46 )
        | ~ ( c1_1 @ X46 )
        | ~ ( c3_1 @ X46 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl1711,plain,
    ( ( ( c0_1 @ a675 )
      | ~ ( c1_1 @ a675 ) )
   <= ( ! [X46: $i] :
          ( ( c0_1 @ X46 )
          | ~ ( c1_1 @ X46 )
          | ~ ( c3_1 @ X46 ) )
      & ( c3_1 @ a675 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl700,zip_derived_cl353]) ).

thf('58',plain,
    ( ( c0_1 @ a675 )
    | ~ ( c3_1 @ a675 )
    | ~ ! [X46: $i] :
          ( ( c0_1 @ X46 )
          | ~ ( c1_1 @ X46 )
          | ~ ( c3_1 @ X46 ) )
    | ~ ( c1_1 @ a675 ) ),
    inference(split,[status(esa)],[zip_derived_cl1711]) ).

thf(zip_derived_cl87,plain,
    ( ~ hskp29
    | ( c3_1 @ a725 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl526,plain,
    ( ( c3_1 @ a725 )
   <= ( c3_1 @ a725 ) ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl349_029,plain,
    ( ! [X45: $i] :
        ( ( c0_1 @ X45 )
        | ~ ( c2_1 @ X45 )
        | ~ ( c3_1 @ X45 ) )
   <= ! [X45: $i] :
        ( ( c0_1 @ X45 )
        | ~ ( c2_1 @ X45 )
        | ~ ( c3_1 @ X45 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl1597,plain,
    ( ( ( c0_1 @ a725 )
      | ~ ( c2_1 @ a725 ) )
   <= ( ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ~ ( c2_1 @ X45 )
          | ~ ( c3_1 @ X45 ) )
      & ( c3_1 @ a725 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl526,zip_derived_cl349]) ).

thf('59',plain,
    ( ( c0_1 @ a725 )
    | ~ ( c2_1 @ a725 )
    | ~ ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ~ ( c2_1 @ X45 )
          | ~ ( c3_1 @ X45 ) )
    | ~ ( c3_1 @ a725 ) ),
    inference(split,[status(esa)],[zip_derived_cl1597]) ).

thf('60',plain,
    ( ! [X32: $i] :
        ( ~ ( c0_1 @ X32 )
        | ~ ( c1_1 @ X32 )
        | ~ ( c3_1 @ X32 ) )
    | ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ( c2_1 @ X30 )
        | ~ ( c3_1 @ X30 ) )
    | ~ ndr1_0
    | hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl526_030,plain,
    ( ( c3_1 @ a725 )
   <= ( c3_1 @ a725 ) ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl11,plain,
    ! [X1: $i,X2: $i] :
      ( ~ ( c0_1 @ X1 )
      | ~ ( c2_1 @ X1 )
      | ~ ( c3_1 @ X1 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X2 )
      | ~ ( c2_1 @ X2 )
      | ~ ( c3_1 @ X2 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl239,plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl1387,plain,
    ( ( ~ ( c0_1 @ a725 )
      | ~ ( c2_1 @ a725 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ( c3_1 @ a725 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl526,zip_derived_cl239]) ).

thf('61',plain,
    ( ~ ( c0_1 @ a725 )
    | ~ ( c2_1 @ a725 )
    | ~ ( c3_1 @ a725 )
    | ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl1387]) ).

thf(zip_derived_cl162,plain,
    ( ~ hskp10
    | ( c3_1 @ a681 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl676,plain,
    ( ( c3_1 @ a681 )
   <= ( c3_1 @ a681 ) ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf(zip_derived_cl353_031,plain,
    ( ! [X46: $i] :
        ( ( c0_1 @ X46 )
        | ~ ( c1_1 @ X46 )
        | ~ ( c3_1 @ X46 ) )
   <= ! [X46: $i] :
        ( ( c0_1 @ X46 )
        | ~ ( c1_1 @ X46 )
        | ~ ( c3_1 @ X46 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl1678,plain,
    ( ( ( c0_1 @ a681 )
      | ~ ( c1_1 @ a681 ) )
   <= ( ! [X46: $i] :
          ( ( c0_1 @ X46 )
          | ~ ( c1_1 @ X46 )
          | ~ ( c3_1 @ X46 ) )
      & ( c3_1 @ a681 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl676,zip_derived_cl353]) ).

thf('62',plain,
    ( ~ ( c1_1 @ a681 )
    | ( c0_1 @ a681 )
    | ~ ! [X46: $i] :
          ( ( c0_1 @ X46 )
          | ~ ( c1_1 @ X46 )
          | ~ ( c3_1 @ X46 ) )
    | ~ ( c3_1 @ a681 ) ),
    inference(split,[status(esa)],[zip_derived_cl1678]) ).

thf(zip_derived_cl644_032,plain,
    ( ( c2_1 @ a696 )
   <= ( c2_1 @ a696 ) ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf(zip_derived_cl245_033,plain,
    ( ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl239_034,plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl803,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl245,zip_derived_cl239]) ).

thf(zip_derived_cl805,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl803]) ).

thf(zip_derived_cl1570,plain,
    ( ( ~ ( c0_1 @ a696 )
      | ~ ( c1_1 @ a696 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
      & ( c2_1 @ a696 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl644,zip_derived_cl805]) ).

thf('63',plain,
    ( ~ ( c0_1 @ a696 )
    | ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
    | ~ ( c2_1 @ a696 )
    | ~ ( c1_1 @ a696 ) ),
    inference(split,[status(esa)],[zip_derived_cl1570]) ).

thf(zip_derived_cl27,plain,
    ! [X24: $i,X25: $i,X26: $i] :
      ( ( c1_1 @ X24 )
      | ( c3_1 @ X24 )
      | ~ ( c0_1 @ X24 )
      | ~ ndr1_0
      | ( c3_1 @ X25 )
      | ~ ( c0_1 @ X25 )
      | ~ ( c1_1 @ X25 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X26 )
      | ~ ( c2_1 @ X26 )
      | ~ ( c3_1 @ X26 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('64',plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ( c3_1 @ X22 )
        | ~ ( c0_1 @ X22 ) )
    | ~ ndr1_0
    | ! [X7: $i] :
        ( ( c3_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c1_1 @ X7 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf('65',plain,
    ( ! [X45: $i] :
        ( ( c0_1 @ X45 )
        | ~ ( c2_1 @ X45 )
        | ~ ( c3_1 @ X45 ) )
    | hskp11
    | hskp16
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl676_035,plain,
    ( ( c3_1 @ a681 )
   <= ( c3_1 @ a681 ) ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf(zip_derived_cl349_036,plain,
    ( ! [X45: $i] :
        ( ( c0_1 @ X45 )
        | ~ ( c2_1 @ X45 )
        | ~ ( c3_1 @ X45 ) )
   <= ! [X45: $i] :
        ( ( c0_1 @ X45 )
        | ~ ( c2_1 @ X45 )
        | ~ ( c3_1 @ X45 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl1677,plain,
    ( ( ( c0_1 @ a681 )
      | ~ ( c2_1 @ a681 ) )
   <= ( ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ~ ( c2_1 @ X45 )
          | ~ ( c3_1 @ X45 ) )
      & ( c3_1 @ a681 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl676,zip_derived_cl349]) ).

thf('66',plain,
    ( ~ ( c2_1 @ a681 )
    | ~ ( c3_1 @ a681 )
    | ~ ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ~ ( c2_1 @ X45 )
          | ~ ( c3_1 @ X45 ) )
    | ( c0_1 @ a681 ) ),
    inference(split,[status(esa)],[zip_derived_cl1677]) ).

thf(zip_derived_cl42,plain,
    ! [X49: $i,X50: $i] :
      ( ( c0_1 @ X49 )
      | ~ ( c1_1 @ X49 )
      | ~ ( c3_1 @ X49 )
      | ~ ndr1_0
      | ( c3_1 @ X50 )
      | ~ ( c0_1 @ X50 )
      | ~ ( c1_1 @ X50 )
      | ~ ndr1_0
      | hskp16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('67',plain,
    ( ! [X7: $i] :
        ( ( c3_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c1_1 @ X7 ) )
    | ! [X46: $i] :
        ( ( c0_1 @ X46 )
        | ~ ( c1_1 @ X46 )
        | ~ ( c3_1 @ X46 ) )
    | ~ ndr1_0
    | hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl31,plain,
    ! [X33: $i,X34: $i] :
      ( ( c1_1 @ X33 )
      | ( c2_1 @ X33 )
      | ~ ( c3_1 @ X33 )
      | ~ ndr1_0
      | ( c3_1 @ X34 )
      | ~ ( c1_1 @ X34 )
      | ~ ( c2_1 @ X34 )
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('68',plain,
    ( ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c1_1 @ X4 )
        | ~ ( c2_1 @ X4 ) )
    | ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ( c2_1 @ X30 )
        | ~ ( c3_1 @ X30 ) )
    | hskp10
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl31]) ).

thf(zip_derived_cl70,plain,
    ! [X110: $i] :
      ( ( c0_1 @ X110 )
      | ( c1_1 @ X110 )
      | ~ ( c2_1 @ X110 )
      | ~ ndr1_0
      | hskp8
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('69',plain,
    ( ! [X109: $i] :
        ( ( c0_1 @ X109 )
        | ( c1_1 @ X109 )
        | ~ ( c2_1 @ X109 ) )
    | hskp9
    | hskp8
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl70]) ).

thf(zip_derived_cl153,plain,
    ( ~ hskp12
    | ( c3_1 @ a684 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl658,plain,
    ( ( c3_1 @ a684 )
   <= ( c3_1 @ a684 ) ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl309_037,plain,
    ( ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ( c2_1 @ X30 )
        | ~ ( c3_1 @ X30 ) )
   <= ! [X30: $i] :
        ( ( c1_1 @ X30 )
        | ( c2_1 @ X30 )
        | ~ ( c3_1 @ X30 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl1616,plain,
    ( ( ( c1_1 @ a684 )
      | ( c2_1 @ a684 ) )
   <= ( ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ( c2_1 @ X30 )
          | ~ ( c3_1 @ X30 ) )
      & ( c3_1 @ a684 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl658,zip_derived_cl309]) ).

thf('70',plain,
    ( ( c1_1 @ a684 )
    | ( c2_1 @ a684 )
    | ~ ! [X30: $i] :
          ( ( c1_1 @ X30 )
          | ( c2_1 @ X30 )
          | ~ ( c3_1 @ X30 ) )
    | ~ ( c3_1 @ a684 ) ),
    inference(split,[status(esa)],[zip_derived_cl1616]) ).

thf(zip_derived_cl165,plain,
    ( ~ hskp9
    | ( c2_1 @ a680 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('71',plain,
    ( ( c2_1 @ a680 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl166,plain,
    ( ~ hskp9
    | ~ ( c1_1 @ a680 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('72',plain,
    ( ~ ( c1_1 @ a680 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl166]) ).

thf(zip_derived_cl167,plain,
    ( ~ hskp9
    | ~ ( c3_1 @ a680 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('73',plain,
    ( ~ ( c3_1 @ a680 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl167]) ).

thf(zip_derived_cl22,plain,
    ! [X16: $i] :
      ( ( c1_1 @ X16 )
      | ( c3_1 @ X16 )
      | ~ ( c2_1 @ X16 )
      | ~ ndr1_0
      | hskp27
      | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl281,plain,
    ( ! [X16: $i] :
        ( ( c1_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c2_1 @ X16 ) )
   <= ! [X16: $i] :
        ( ( c1_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c2_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl686,plain,
    ( ~ ( c3_1 @ a680 )
   <= ~ ( c3_1 @ a680 ) ),
    inference(split,[status(esa)],[zip_derived_cl167]) ).

thf(zip_derived_cl1025,plain,
    ( ( ~ ( c2_1 @ a680 )
      | ( c1_1 @ a680 ) )
   <= ( ~ ( c3_1 @ a680 )
      & ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ( c3_1 @ X16 )
          | ~ ( c2_1 @ X16 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl281,zip_derived_cl686]) ).

thf('74',plain,
    ( ( c1_1 @ a680 )
    | ( c3_1 @ a680 )
    | ~ ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ( c3_1 @ X16 )
          | ~ ( c2_1 @ X16 ) )
    | ~ ( c2_1 @ a680 ) ),
    inference(split,[status(esa)],[zip_derived_cl1025]) ).

thf(zip_derived_cl674_038,plain,
    ( ( c2_1 @ a681 )
   <= ( c2_1 @ a681 ) ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl69,plain,
    ! [X109: $i] :
      ( ( c0_1 @ X109 )
      | ( c1_1 @ X109 )
      | ~ ( c2_1 @ X109 )
      | ~ ndr1_0
      | hskp10
      | hskp2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl468,plain,
    ( ! [X109: $i] :
        ( ( c0_1 @ X109 )
        | ( c1_1 @ X109 )
        | ~ ( c2_1 @ X109 ) )
   <= ! [X109: $i] :
        ( ( c0_1 @ X109 )
        | ( c1_1 @ X109 )
        | ~ ( c2_1 @ X109 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl69]) ).

thf(zip_derived_cl2006,plain,
    ( ( ( c0_1 @ a681 )
      | ( c1_1 @ a681 ) )
   <= ( ! [X109: $i] :
          ( ( c0_1 @ X109 )
          | ( c1_1 @ X109 )
          | ~ ( c2_1 @ X109 ) )
      & ( c2_1 @ a681 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl674,zip_derived_cl468]) ).

thf('75',plain,
    ( ( c1_1 @ a681 )
    | ~ ! [X109: $i] :
          ( ( c0_1 @ X109 )
          | ( c1_1 @ X109 )
          | ~ ( c2_1 @ X109 ) )
    | ( c0_1 @ a681 )
    | ~ ( c2_1 @ a681 ) ),
    inference(split,[status(esa)],[zip_derived_cl2006]) ).

thf(zip_derived_cl644_039,plain,
    ( ( c2_1 @ a696 )
   <= ( c2_1 @ a696 ) ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf(zip_derived_cl804_040,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl802]) ).

thf(zip_derived_cl1569,plain,
    ( ~ ( c1_1 @ a696 )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) )
      & ( c2_1 @ a696 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl644,zip_derived_cl804]) ).

thf(zip_derived_cl281_041,plain,
    ( ! [X16: $i] :
        ( ( c1_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c2_1 @ X16 ) )
   <= ! [X16: $i] :
        ( ( c1_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c2_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl646_042,plain,
    ( ~ ( c3_1 @ a696 )
   <= ~ ( c3_1 @ a696 ) ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl1027,plain,
    ( ( ~ ( c2_1 @ a696 )
      | ( c1_1 @ a696 ) )
   <= ( ~ ( c3_1 @ a696 )
      & ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ( c3_1 @ X16 )
          | ~ ( c2_1 @ X16 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl281,zip_derived_cl646]) ).

thf(zip_derived_cl1144,plain,
    ( ( c1_1 @ a696 )
   <= ( c1_1 @ a696 ) ),
    inference(split,[status(esa)],[zip_derived_cl1027]) ).

thf('76',plain,
    ( ~ ( c1_1 @ a696 )
    | ~ ( c2_1 @ a696 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 )
          | ~ ( c2_1 @ X4 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1569,zip_derived_cl1144]) ).

thf(zip_derived_cl293_043,plain,
    ( ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ( c3_1 @ X22 )
        | ~ ( c0_1 @ X22 ) )
   <= ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ( c3_1 @ X22 )
        | ~ ( c0_1 @ X22 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl646_044,plain,
    ( ~ ( c3_1 @ a696 )
   <= ~ ( c3_1 @ a696 ) ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl1156,plain,
    ( ( ~ ( c0_1 @ a696 )
      | ( c1_1 @ a696 ) )
   <= ( ~ ( c3_1 @ a696 )
      & ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ( c3_1 @ X22 )
          | ~ ( c0_1 @ X22 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl293,zip_derived_cl646]) ).

thf('77',plain,
    ( ( c1_1 @ a696 )
    | ~ ( c0_1 @ a696 )
    | ~ ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ( c3_1 @ X22 )
          | ~ ( c0_1 @ X22 ) )
    | ( c3_1 @ a696 ) ),
    inference(split,[status(esa)],[zip_derived_cl1156]) ).

thf(zip_derived_cl23,plain,
    ! [X17: $i,X18: $i,X19: $i] :
      ( ( c1_1 @ X17 )
      | ( c3_1 @ X17 )
      | ~ ( c2_1 @ X17 )
      | ~ ndr1_0
      | ( c2_1 @ X18 )
      | ~ ( c0_1 @ X18 )
      | ~ ( c3_1 @ X18 )
      | ~ ndr1_0
      | ( c3_1 @ X19 )
      | ~ ( c0_1 @ X19 )
      | ~ ( c2_1 @ X19 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl285,plain,
    ( ! [X19: $i] :
        ( ( c3_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c2_1 @ X19 ) )
   <= ! [X19: $i] :
        ( ( c3_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c2_1 @ X19 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl646_045,plain,
    ( ~ ( c3_1 @ a696 )
   <= ~ ( c3_1 @ a696 ) ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl1068,plain,
    ( ( ~ ( c2_1 @ a696 )
      | ~ ( c0_1 @ a696 ) )
   <= ( ~ ( c3_1 @ a696 )
      & ! [X19: $i] :
          ( ( c3_1 @ X19 )
          | ~ ( c0_1 @ X19 )
          | ~ ( c2_1 @ X19 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl285,zip_derived_cl646]) ).

thf('78',plain,
    ( ~ ! [X19: $i] :
          ( ( c3_1 @ X19 )
          | ~ ( c0_1 @ X19 )
          | ~ ( c2_1 @ X19 ) )
    | ~ ( c0_1 @ a696 )
    | ( c3_1 @ a696 )
    | ~ ( c2_1 @ a696 ) ),
    inference(split,[status(esa)],[zip_derived_cl1068]) ).

thf(zip_derived_cl145,plain,
    ( ~ hskp14
    | ( c0_1 @ a696 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('79',plain,
    ( ( c0_1 @ a696 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf('80',plain,
    ( ( c2_1 @ a696 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf('81',plain,
    ( ~ ( c3_1 @ a696 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf('82',plain,
    ( ! [X7: $i] :
        ( ( c3_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c1_1 @ X7 ) )
    | hskp14
    | ~ ndr1_0
    | hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl53,plain,
    ! [X73: $i,X74: $i] :
      ( ( c0_1 @ X73 )
      | ( c3_1 @ X73 )
      | ~ ( c1_1 @ X73 )
      | ~ ndr1_0
      | ( c3_1 @ X74 )
      | ~ ( c1_1 @ X74 )
      | ~ ( c2_1 @ X74 )
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl405,plain,
    ( ! [X73: $i] :
        ( ( c0_1 @ X73 )
        | ( c3_1 @ X73 )
        | ~ ( c1_1 @ X73 ) )
   <= ! [X73: $i] :
        ( ( c0_1 @ X73 )
        | ( c3_1 @ X73 )
        | ~ ( c1_1 @ X73 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(zip_derived_cl143,plain,
    ( ~ hskp15
    | ~ ( c3_1 @ a700 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl638,plain,
    ( ~ ( c3_1 @ a700 )
   <= ~ ( c3_1 @ a700 ) ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(zip_derived_cl2035,plain,
    ( ( ~ ( c1_1 @ a700 )
      | ( c0_1 @ a700 ) )
   <= ( ~ ( c3_1 @ a700 )
      & ! [X73: $i] :
          ( ( c0_1 @ X73 )
          | ( c3_1 @ X73 )
          | ~ ( c1_1 @ X73 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl405,zip_derived_cl638]) ).

thf('83',plain,
    ( ~ ( c1_1 @ a700 )
    | ~ ! [X73: $i] :
          ( ( c0_1 @ X73 )
          | ( c3_1 @ X73 )
          | ~ ( c1_1 @ X73 ) )
    | ( c3_1 @ a700 )
    | ( c0_1 @ a700 ) ),
    inference(split,[status(esa)],[zip_derived_cl2035]) ).

thf(zip_derived_cl72,plain,
    ! [X113: $i,X114: $i,X115: $i] :
      ( ( c0_1 @ X113 )
      | ( c1_1 @ X113 )
      | ~ ( c2_1 @ X113 )
      | ~ ndr1_0
      | ( c1_1 @ X114 )
      | ( c3_1 @ X114 )
      | ~ ( c0_1 @ X114 )
      | ~ ndr1_0
      | ( c2_1 @ X115 )
      | ~ ( c1_1 @ X115 )
      | ~ ( c3_1 @ X115 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('84',plain,
    ( ! [X109: $i] :
        ( ( c0_1 @ X109 )
        | ( c1_1 @ X109 )
        | ~ ( c2_1 @ X109 ) )
    | ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c1_1 @ X8 )
        | ~ ( c3_1 @ X8 ) )
    | ~ ndr1_0
    | ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ( c3_1 @ X22 )
        | ~ ( c0_1 @ X22 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl72]) ).

thf(zip_derived_cl141,plain,
    ( ~ hskp15
    | ( c2_1 @ a700 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl634,plain,
    ( ( c2_1 @ a700 )
   <= ( c2_1 @ a700 ) ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf(zip_derived_cl468_046,plain,
    ( ! [X109: $i] :
        ( ( c0_1 @ X109 )
        | ( c1_1 @ X109 )
        | ~ ( c2_1 @ X109 ) )
   <= ! [X109: $i] :
        ( ( c0_1 @ X109 )
        | ( c1_1 @ X109 )
        | ~ ( c2_1 @ X109 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl69]) ).

thf(zip_derived_cl2008,plain,
    ( ( ( c0_1 @ a700 )
      | ( c1_1 @ a700 ) )
   <= ( ! [X109: $i] :
          ( ( c0_1 @ X109 )
          | ( c1_1 @ X109 )
          | ~ ( c2_1 @ X109 ) )
      & ( c2_1 @ a700 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl634,zip_derived_cl468]) ).

thf('85',plain,
    ( ( c1_1 @ a700 )
    | ~ ! [X109: $i] :
          ( ( c0_1 @ X109 )
          | ( c1_1 @ X109 )
          | ~ ( c2_1 @ X109 ) )
    | ( c0_1 @ a700 )
    | ~ ( c2_1 @ a700 ) ),
    inference(split,[status(esa)],[zip_derived_cl2008]) ).

thf(zip_derived_cl67,plain,
    ! [X104: $i,X105: $i] :
      ( ( c0_1 @ X104 )
      | ( c1_1 @ X104 )
      | ~ ( c3_1 @ X104 )
      | ~ ndr1_0
      | ( c1_1 @ X105 )
      | ~ ( c2_1 @ X105 )
      | ~ ( c3_1 @ X105 )
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('86',plain,
    ( ! [X15: $i] :
        ( ( c1_1 @ X15 )
        | ~ ( c2_1 @ X15 )
        | ~ ( c3_1 @ X15 ) )
    | hskp11
    | ! [X99: $i] :
        ( ( c0_1 @ X99 )
        | ( c1_1 @ X99 )
        | ~ ( c3_1 @ X99 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl67]) ).

thf(zip_derived_cl628_047,plain,
    ( ( c3_1 @ a702 )
   <= ( c3_1 @ a702 ) ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf(zip_derived_cl453_048,plain,
    ( ! [X99: $i] :
        ( ( c0_1 @ X99 )
        | ( c1_1 @ X99 )
        | ~ ( c3_1 @ X99 ) )
   <= ! [X99: $i] :
        ( ( c0_1 @ X99 )
        | ( c1_1 @ X99 )
        | ~ ( c3_1 @ X99 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl65]) ).

thf(zip_derived_cl1984,plain,
    ( ( ( c0_1 @ a702 )
      | ( c1_1 @ a702 ) )
   <= ( ! [X99: $i] :
          ( ( c0_1 @ X99 )
          | ( c1_1 @ X99 )
          | ~ ( c3_1 @ X99 ) )
      & ( c3_1 @ a702 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl628,zip_derived_cl453]) ).

thf('87',plain,
    ( ( c0_1 @ a702 )
    | ( c1_1 @ a702 )
    | ~ ! [X99: $i] :
          ( ( c0_1 @ X99 )
          | ( c1_1 @ X99 )
          | ~ ( c3_1 @ X99 ) )
    | ~ ( c3_1 @ a702 ) ),
    inference(split,[status(esa)],[zip_derived_cl1984]) ).

thf(zip_derived_cl628_049,plain,
    ( ( c3_1 @ a702 )
   <= ( c3_1 @ a702 ) ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf(zip_derived_cl21,plain,
    ! [X14: $i,X15: $i] :
      ( ( c1_1 @ X14 )
      | ~ ( c0_1 @ X14 )
      | ~ ( c2_1 @ X14 )
      | ~ ndr1_0
      | ( c1_1 @ X15 )
      | ~ ( c2_1 @ X15 )
      | ~ ( c3_1 @ X15 )
      | ~ ndr1_0
      | hskp23 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl277,plain,
    ( ! [X15: $i] :
        ( ( c1_1 @ X15 )
        | ~ ( c2_1 @ X15 )
        | ~ ( c3_1 @ X15 ) )
   <= ! [X15: $i] :
        ( ( c1_1 @ X15 )
        | ~ ( c2_1 @ X15 )
        | ~ ( c3_1 @ X15 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl1549,plain,
    ( ( ( c1_1 @ a702 )
      | ~ ( c2_1 @ a702 ) )
   <= ( ! [X15: $i] :
          ( ( c1_1 @ X15 )
          | ~ ( c2_1 @ X15 )
          | ~ ( c3_1 @ X15 ) )
      & ( c3_1 @ a702 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl628,zip_derived_cl277]) ).

thf('88',plain,
    ( ( c1_1 @ a702 )
    | ~ ( c2_1 @ a702 )
    | ~ ! [X15: $i] :
          ( ( c1_1 @ X15 )
          | ~ ( c2_1 @ X15 )
          | ~ ( c3_1 @ X15 ) )
    | ~ ( c3_1 @ a702 ) ),
    inference(split,[status(esa)],[zip_derived_cl1549]) ).

thf('89',plain,
    ( ( c2_1 @ a702 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(zip_derived_cl628_050,plain,
    ( ( c3_1 @ a702 )
   <= ( c3_1 @ a702 ) ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf(zip_derived_cl239_051,plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl1546,plain,
    ( ( ~ ( c0_1 @ a702 )
      | ~ ( c2_1 @ a702 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ( c3_1 @ a702 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl628,zip_derived_cl239]) ).

thf('90',plain,
    ( ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c0_1 @ a702 )
    | ~ ( c2_1 @ a702 )
    | ~ ( c3_1 @ a702 ) ),
    inference(split,[status(esa)],[zip_derived_cl1546]) ).

thf('91',plain,
    ( ~ hskp16
    | ( c3_1 @ a702 ) ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf(zip_derived_cl139,plain,
    ( ~ hskp16
    | ~ ( c1_1 @ a702 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('92',plain,
    ( ~ hskp16
    | ~ ( c1_1 @ a702 ) ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf(zip_derived_cl2,plain,
    ( hskp29
    | hskp0
    | hskp16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('93',plain,
    ( hskp0
    | hskp16
    | hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl169,plain,
    ( ~ hskp8
    | ( c1_1 @ a679 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('94',plain,
    ( ( c1_1 @ a679 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl169]) ).

thf('95',plain,
    ( ( c3_1 @ a679 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl171,plain,
    ( ~ hskp8
    | ~ ( c0_1 @ a679 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('96',plain,
    ( ~ ( c0_1 @ a679 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl171]) ).

thf(zip_derived_cl692_052,plain,
    ( ( c3_1 @ a679 )
   <= ( c3_1 @ a679 ) ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl353_053,plain,
    ( ! [X46: $i] :
        ( ( c0_1 @ X46 )
        | ~ ( c1_1 @ X46 )
        | ~ ( c3_1 @ X46 ) )
   <= ! [X46: $i] :
        ( ( c0_1 @ X46 )
        | ~ ( c1_1 @ X46 )
        | ~ ( c3_1 @ X46 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl1698,plain,
    ( ( ( c0_1 @ a679 )
      | ~ ( c1_1 @ a679 ) )
   <= ( ! [X46: $i] :
          ( ( c0_1 @ X46 )
          | ~ ( c1_1 @ X46 )
          | ~ ( c3_1 @ X46 ) )
      & ( c3_1 @ a679 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl692,zip_derived_cl353]) ).

thf('97',plain,
    ( ~ ( c3_1 @ a679 )
    | ( c0_1 @ a679 )
    | ~ ! [X46: $i] :
          ( ( c0_1 @ X46 )
          | ~ ( c1_1 @ X46 )
          | ~ ( c3_1 @ X46 ) )
    | ~ ( c1_1 @ a679 ) ),
    inference(split,[status(esa)],[zip_derived_cl1698]) ).

thf(zip_derived_cl115,plain,
    ( ~ hskp22
    | ~ ( c3_1 @ a716 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl582,plain,
    ( ~ ( c3_1 @ a716 )
   <= ~ ( c3_1 @ a716 ) ),
    inference(split,[status(esa)],[zip_derived_cl115]) ).

thf(zip_derived_cl253_054,plain,
    ( ! [X7: $i] :
        ( ( c3_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c1_1 @ X7 ) )
   <= ! [X7: $i] :
        ( ( c3_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c1_1 @ X7 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl835,plain,
    ( ( ~ ( c0_1 @ a716 )
      | ~ ( c1_1 @ a716 ) )
   <= ( ~ ( c3_1 @ a716 )
      & ! [X7: $i] :
          ( ( c3_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c1_1 @ X7 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl582,zip_derived_cl253]) ).

thf('98',plain,
    ( ( c3_1 @ a716 )
    | ~ ( c0_1 @ a716 )
    | ~ ! [X7: $i] :
          ( ( c3_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c1_1 @ X7 ) )
    | ~ ( c1_1 @ a716 ) ),
    inference(split,[status(esa)],[zip_derived_cl835]) ).

thf(zip_derived_cl113,plain,
    ( ~ hskp22
    | ( c1_1 @ a716 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('99',plain,
    ( ( c1_1 @ a716 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl113]) ).

thf('100',plain,
    ( ~ hskp22
    | ~ ( c3_1 @ a716 ) ),
    inference(split,[status(esa)],[zip_derived_cl115]) ).

thf(zip_derived_cl758_055,plain,
    ( ~ ( c3_1 @ a668 )
   <= ~ ( c3_1 @ a668 ) ),
    inference(split,[status(esa)],[zip_derived_cl203]) ).

thf(zip_derived_cl253_056,plain,
    ( ! [X7: $i] :
        ( ( c3_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c1_1 @ X7 ) )
   <= ! [X7: $i] :
        ( ( c3_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c1_1 @ X7 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl974,plain,
    ( ( ~ ( c0_1 @ a668 )
      | ~ ( c1_1 @ a668 ) )
   <= ( ~ ( c3_1 @ a668 )
      & ! [X7: $i] :
          ( ( c3_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c1_1 @ X7 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl758,zip_derived_cl253]) ).

thf('101',plain,
    ( ~ ( c0_1 @ a668 )
    | ~ ! [X7: $i] :
          ( ( c3_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c1_1 @ X7 ) )
    | ( c3_1 @ a668 )
    | ~ ( c1_1 @ a668 ) ),
    inference(split,[status(esa)],[zip_derived_cl974]) ).

thf(zip_derived_cl201,plain,
    ( ~ hskp0
    | ( c1_1 @ a668 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('102',plain,
    ( ( c1_1 @ a668 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl201]) ).

thf('103',plain,
    ( ~ ( c3_1 @ a668 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl203]) ).

thf(zip_derived_cl405_057,plain,
    ( ! [X73: $i] :
        ( ( c0_1 @ X73 )
        | ( c3_1 @ X73 )
        | ~ ( c1_1 @ X73 ) )
   <= ! [X73: $i] :
        ( ( c0_1 @ X73 )
        | ( c3_1 @ X73 )
        | ~ ( c1_1 @ X73 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(zip_derived_cl758_058,plain,
    ( ~ ( c3_1 @ a668 )
   <= ~ ( c3_1 @ a668 ) ),
    inference(split,[status(esa)],[zip_derived_cl203]) ).

thf(zip_derived_cl2030,plain,
    ( ( ~ ( c1_1 @ a668 )
      | ( c0_1 @ a668 ) )
   <= ( ~ ( c3_1 @ a668 )
      & ! [X73: $i] :
          ( ( c0_1 @ X73 )
          | ( c3_1 @ X73 )
          | ~ ( c1_1 @ X73 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl405,zip_derived_cl758]) ).

thf('104',plain,
    ( ~ ! [X73: $i] :
          ( ( c0_1 @ X73 )
          | ( c3_1 @ X73 )
          | ~ ( c1_1 @ X73 ) )
    | ( c0_1 @ a668 )
    | ( c3_1 @ a668 )
    | ~ ( c1_1 @ a668 ) ),
    inference(split,[status(esa)],[zip_derived_cl2030]) ).

thf(zip_derived_cl405_059,plain,
    ( ! [X73: $i] :
        ( ( c0_1 @ X73 )
        | ( c3_1 @ X73 )
        | ~ ( c1_1 @ X73 ) )
   <= ! [X73: $i] :
        ( ( c0_1 @ X73 )
        | ( c3_1 @ X73 )
        | ~ ( c1_1 @ X73 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(zip_derived_cl582_060,plain,
    ( ~ ( c3_1 @ a716 )
   <= ~ ( c3_1 @ a716 ) ),
    inference(split,[status(esa)],[zip_derived_cl115]) ).

thf(zip_derived_cl2037,plain,
    ( ( ~ ( c1_1 @ a716 )
      | ( c0_1 @ a716 ) )
   <= ( ~ ( c3_1 @ a716 )
      & ! [X73: $i] :
          ( ( c0_1 @ X73 )
          | ( c3_1 @ X73 )
          | ~ ( c1_1 @ X73 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl405,zip_derived_cl582]) ).

thf('105',plain,
    ( ( c0_1 @ a716 )
    | ( c3_1 @ a716 )
    | ~ ! [X73: $i] :
          ( ( c0_1 @ X73 )
          | ( c3_1 @ X73 )
          | ~ ( c1_1 @ X73 ) )
    | ~ ( c1_1 @ a716 ) ),
    inference(split,[status(esa)],[zip_derived_cl2037]) ).

thf(zip_derived_cl85,plain,
    ( ~ hskp29
    | ( c1_1 @ a725 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('106',plain,
    ( ( c1_1 @ a725 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf(zip_derived_cl86,plain,
    ( ~ hskp29
    | ( c2_1 @ a725 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('107',plain,
    ( ( c2_1 @ a725 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf('108',plain,
    ( ( c3_1 @ a725 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl526_061,plain,
    ( ( c3_1 @ a725 )
   <= ( c3_1 @ a725 ) ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl234_062,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl1386,plain,
    ( ( ~ ( c1_1 @ a725 )
      | ~ ( c2_1 @ a725 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c3_1 @ a725 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl526,zip_derived_cl234]) ).

thf('109',plain,
    ( ~ ( c1_1 @ a725 )
    | ~ ( c2_1 @ a725 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c3_1 @ a725 ) ),
    inference(split,[status(esa)],[zip_derived_cl1386]) ).

thf('110',plain,
    ( ! [X16: $i] :
        ( ( c1_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c2_1 @ X16 ) )
    | ! [X19: $i] :
        ( ( c3_1 @ X19 )
        | ~ ( c0_1 @ X19 )
        | ~ ( c2_1 @ X19 ) )
    | ~ ndr1_0
    | ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c3_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl658_063,plain,
    ( ( c3_1 @ a684 )
   <= ( c3_1 @ a684 ) ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl453_064,plain,
    ( ! [X99: $i] :
        ( ( c0_1 @ X99 )
        | ( c1_1 @ X99 )
        | ~ ( c3_1 @ X99 ) )
   <= ! [X99: $i] :
        ( ( c0_1 @ X99 )
        | ( c1_1 @ X99 )
        | ~ ( c3_1 @ X99 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl65]) ).

thf(zip_derived_cl1983,plain,
    ( ( ( c0_1 @ a684 )
      | ( c1_1 @ a684 ) )
   <= ( ! [X99: $i] :
          ( ( c0_1 @ X99 )
          | ( c1_1 @ X99 )
          | ~ ( c3_1 @ X99 ) )
      & ( c3_1 @ a684 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl658,zip_derived_cl453]) ).

thf('111',plain,
    ( ( c1_1 @ a684 )
    | ( c0_1 @ a684 )
    | ~ ! [X99: $i] :
          ( ( c0_1 @ X99 )
          | ( c1_1 @ X99 )
          | ~ ( c3_1 @ X99 ) )
    | ~ ( c3_1 @ a684 ) ),
    inference(split,[status(esa)],[zip_derived_cl1983]) ).

thf(zip_derived_cl658_065,plain,
    ( ( c3_1 @ a684 )
   <= ( c3_1 @ a684 ) ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl353_066,plain,
    ( ! [X46: $i] :
        ( ( c0_1 @ X46 )
        | ~ ( c1_1 @ X46 )
        | ~ ( c3_1 @ X46 ) )
   <= ! [X46: $i] :
        ( ( c0_1 @ X46 )
        | ~ ( c1_1 @ X46 )
        | ~ ( c3_1 @ X46 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl1649,plain,
    ( ( ( c0_1 @ a684 )
      | ~ ( c1_1 @ a684 ) )
   <= ( ! [X46: $i] :
          ( ( c0_1 @ X46 )
          | ~ ( c1_1 @ X46 )
          | ~ ( c3_1 @ X46 ) )
      & ( c3_1 @ a684 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl658,zip_derived_cl353]) ).

thf('112',plain,
    ( ( c0_1 @ a684 )
    | ~ ( c1_1 @ a684 )
    | ~ ! [X46: $i] :
          ( ( c0_1 @ X46 )
          | ~ ( c1_1 @ X46 )
          | ~ ( c3_1 @ X46 ) )
    | ~ ( c3_1 @ a684 ) ),
    inference(split,[status(esa)],[zip_derived_cl1649]) ).

thf(zip_derived_cl5,plain,
    ( hskp30
    | hskp26
    | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('113',plain,
    ( hskp26
    | hskp12
    | hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl54,plain,
    ! [X75: $i,X76: $i] :
      ( ( c0_1 @ X75 )
      | ( c3_1 @ X75 )
      | ~ ( c1_1 @ X75 )
      | ~ ndr1_0
      | ( c2_1 @ X76 )
      | ~ ( c0_1 @ X76 )
      | ~ ( c3_1 @ X76 )
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('114',plain,
    ( ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c3_1 @ X10 ) )
    | hskp12
    | ! [X73: $i] :
        ( ( c0_1 @ X73 )
        | ( c3_1 @ X73 )
        | ~ ( c1_1 @ X73 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf('115',plain,
    ( ~ hskp12
    | ( c3_1 @ a684 ) ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl154,plain,
    ( ~ hskp12
    | ~ ( c0_1 @ a684 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('116',plain,
    ( ~ hskp12
    | ~ ( c0_1 @ a684 ) ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf('117',plain,
    ( ~ hskp12
    | ~ ( c2_1 @ a684 ) ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf(zip_derived_cl658_067,plain,
    ( ( c3_1 @ a684 )
   <= ( c3_1 @ a684 ) ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl58,plain,
    ! [X84: $i,X85: $i] :
      ( ( c0_1 @ X84 )
      | ( c2_1 @ X84 )
      | ~ ( c3_1 @ X84 )
      | ~ ndr1_0
      | ( c2_1 @ X85 )
      | ~ ( c0_1 @ X85 )
      | ~ ( c3_1 @ X85 )
      | ~ ndr1_0
      | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl425,plain,
    ( ! [X84: $i] :
        ( ( c0_1 @ X84 )
        | ( c2_1 @ X84 )
        | ~ ( c3_1 @ X84 ) )
   <= ! [X84: $i] :
        ( ( c0_1 @ X84 )
        | ( c2_1 @ X84 )
        | ~ ( c3_1 @ X84 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf(zip_derived_cl1945,plain,
    ( ( ( c0_1 @ a684 )
      | ( c2_1 @ a684 ) )
   <= ( ! [X84: $i] :
          ( ( c0_1 @ X84 )
          | ( c2_1 @ X84 )
          | ~ ( c3_1 @ X84 ) )
      & ( c3_1 @ a684 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl658,zip_derived_cl425]) ).

thf('118',plain,
    ( ~ ! [X84: $i] :
          ( ( c0_1 @ X84 )
          | ( c2_1 @ X84 )
          | ~ ( c3_1 @ X84 ) )
    | ( c0_1 @ a684 )
    | ~ ( c3_1 @ a684 )
    | ( c2_1 @ a684 ) ),
    inference(split,[status(esa)],[zip_derived_cl1945]) ).

thf('119',plain,
    ( ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c3_1 @ X10 ) )
    | hskp7
    | ~ ndr1_0
    | ! [X84: $i] :
        ( ( c0_1 @ X84 )
        | ( c2_1 @ X84 )
        | ~ ( c3_1 @ X84 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf(zip_derived_cl112,plain,
    ( ~ hskp22
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('120',plain,
    ( ndr1_0
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl112]) ).

thf(zip_derived_cl168,plain,
    ( ~ hskp8
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('121',plain,
    ( ndr1_0
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl168]) ).

thf(zip_derived_cl200,plain,
    ( ~ hskp0
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('122',plain,
    ( ndr1_0
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl200]) ).

thf(zip_derived_cl1,plain,
    ( hskp22
    | hskp8
    | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('123',plain,
    ( hskp0
    | hskp8
    | hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl668_068,plain,
    ( ( c3_1 @ a683 )
   <= ( c3_1 @ a683 ) ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl18,plain,
    ! [X10: $i] :
      ( ( c2_1 @ X10 )
      | ~ ( c0_1 @ X10 )
      | ~ ( c3_1 @ X10 )
      | ~ ndr1_0
      | hskp15
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl265,plain,
    ( ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c3_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c3_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl1627,plain,
    ( ( ( c2_1 @ a683 )
      | ~ ( c0_1 @ a683 ) )
   <= ( ! [X10: $i] :
          ( ( c2_1 @ X10 )
          | ~ ( c0_1 @ X10 )
          | ~ ( c3_1 @ X10 ) )
      & ( c3_1 @ a683 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl668,zip_derived_cl265]) ).

thf('124',plain,
    ( ( c2_1 @ a683 )
    | ~ ( c3_1 @ a683 )
    | ~ ! [X10: $i] :
          ( ( c2_1 @ X10 )
          | ~ ( c0_1 @ X10 )
          | ~ ( c3_1 @ X10 ) )
    | ~ ( c0_1 @ a683 ) ),
    inference(split,[status(esa)],[zip_derived_cl1627]) ).

thf(zip_derived_cl157,plain,
    ( ~ hskp11
    | ( c0_1 @ a683 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('125',plain,
    ( ( c0_1 @ a683 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf('126',plain,
    ( ~ hskp11
    | ( c3_1 @ a683 ) ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf('127',plain,
    ( ~ hskp11
    | ~ ( c2_1 @ a683 ) ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl8,plain,
    ( hskp28
    | hskp30
    | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('128',plain,
    ( hskp28
    | hskp30
    | hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl534_069,plain,
    ( ( c3_1 @ a678 )
   <= ( c3_1 @ a678 ) ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl239_070,plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl1402,plain,
    ( ( ~ ( c0_1 @ a678 )
      | ~ ( c2_1 @ a678 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ( c3_1 @ a678 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl534,zip_derived_cl239]) ).

thf('129',plain,
    ( ~ ( c2_1 @ a678 )
    | ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c0_1 @ a678 )
    | ~ ( c3_1 @ a678 ) ),
    inference(split,[status(esa)],[zip_derived_cl1402]) ).

thf(zip_derived_cl89,plain,
    ( ~ hskp28
    | ( c0_1 @ a678 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('130',plain,
    ( ( c0_1 @ a678 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf(zip_derived_cl90,plain,
    ( ~ hskp28
    | ( c1_1 @ a678 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('131',plain,
    ( ( c1_1 @ a678 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf('132',plain,
    ( ( c3_1 @ a678 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl534_071,plain,
    ( ( c3_1 @ a678 )
   <= ( c3_1 @ a678 ) ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl257_072,plain,
    ( ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c1_1 @ X8 )
        | ~ ( c3_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c1_1 @ X8 )
        | ~ ( c3_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl1403,plain,
    ( ( ( c2_1 @ a678 )
      | ~ ( c1_1 @ a678 ) )
   <= ( ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c1_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
      & ( c3_1 @ a678 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl534,zip_derived_cl257]) ).

thf('133',plain,
    ( ( c2_1 @ a678 )
    | ~ ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c1_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
    | ~ ( c3_1 @ a678 )
    | ~ ( c1_1 @ a678 ) ),
    inference(split,[status(esa)],[zip_derived_cl1403]) ).

thf(zip_derived_cl173,plain,
    ( ~ hskp7
    | ( c1_1 @ a675 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('134',plain,
    ( ( c1_1 @ a675 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl173]) ).

thf('135',plain,
    ( ( c3_1 @ a675 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf(zip_derived_cl175,plain,
    ( ~ hskp7
    | ~ ( c2_1 @ a675 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('136',plain,
    ( ~ ( c2_1 @ a675 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl700_073,plain,
    ( ( c3_1 @ a675 )
   <= ( c3_1 @ a675 ) ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf(zip_derived_cl257_074,plain,
    ( ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c1_1 @ X8 )
        | ~ ( c3_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ~ ( c1_1 @ X8 )
        | ~ ( c3_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl1704,plain,
    ( ( ( c2_1 @ a675 )
      | ~ ( c1_1 @ a675 ) )
   <= ( ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c1_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
      & ( c3_1 @ a675 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl700,zip_derived_cl257]) ).

thf('137',plain,
    ( ~ ( c1_1 @ a675 )
    | ~ ( c3_1 @ a675 )
    | ~ ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ~ ( c1_1 @ X8 )
          | ~ ( c3_1 @ X8 ) )
    | ( c2_1 @ a675 ) ),
    inference(split,[status(esa)],[zip_derived_cl1704]) ).

thf(zip_derived_cl97,plain,
    ( ~ hskp26
    | ( c1_1 @ a762 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('138',plain,
    ( ( c1_1 @ a762 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(zip_derived_cl98,plain,
    ( ~ hskp26
    | ~ ( c0_1 @ a762 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('139',plain,
    ( ~ hskp26
    | ~ ( c0_1 @ a762 ) ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf(zip_derived_cl99,plain,
    ( ~ hskp26
    | ~ ( c3_1 @ a762 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('140',plain,
    ( ~ hskp26
    | ~ ( c3_1 @ a762 ) ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl405_075,plain,
    ( ! [X73: $i] :
        ( ( c0_1 @ X73 )
        | ( c3_1 @ X73 )
        | ~ ( c1_1 @ X73 ) )
   <= ! [X73: $i] :
        ( ( c0_1 @ X73 )
        | ( c3_1 @ X73 )
        | ~ ( c1_1 @ X73 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(zip_derived_cl550,plain,
    ( ~ ( c3_1 @ a762 )
   <= ~ ( c3_1 @ a762 ) ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl2040,plain,
    ( ( ~ ( c1_1 @ a762 )
      | ( c0_1 @ a762 ) )
   <= ( ~ ( c3_1 @ a762 )
      & ! [X73: $i] :
          ( ( c0_1 @ X73 )
          | ( c3_1 @ X73 )
          | ~ ( c1_1 @ X73 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl405,zip_derived_cl550]) ).

thf('141',plain,
    ( ( c0_1 @ a762 )
    | ( c3_1 @ a762 )
    | ~ ! [X73: $i] :
          ( ( c0_1 @ X73 )
          | ( c3_1 @ X73 )
          | ~ ( c1_1 @ X73 ) )
    | ~ ( c1_1 @ a762 ) ),
    inference(split,[status(esa)],[zip_derived_cl2040]) ).

thf(zip_derived_cl81,plain,
    ( ~ hskp30
    | ( c0_1 @ a753 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('142',plain,
    ( ( c0_1 @ a753 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf('143',plain,
    ( ( c2_1 @ a753 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf('144',plain,
    ( ( c3_1 @ a753 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl518_076,plain,
    ( ( c3_1 @ a753 )
   <= ( c3_1 @ a753 ) ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl239_077,plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl1372,plain,
    ( ( ~ ( c0_1 @ a753 )
      | ~ ( c2_1 @ a753 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ( c3_1 @ a753 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl518,zip_derived_cl239]) ).

thf('145',plain,
    ( ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c0_1 @ a753 )
    | ~ ( c2_1 @ a753 )
    | ~ ( c3_1 @ a753 ) ),
    inference(split,[status(esa)],[zip_derived_cl1372]) ).

thf(zip_derived_cl68,plain,
    ! [X106: $i,X107: $i,X108: $i] :
      ( ( c0_1 @ X106 )
      | ( c1_1 @ X106 )
      | ~ ( c3_1 @ X106 )
      | ~ ndr1_0
      | ( c0_1 @ X107 )
      | ~ ( c1_1 @ X107 )
      | ~ ( c3_1 @ X107 )
      | ~ ndr1_0
      | ( c2_1 @ X108 )
      | ~ ( c0_1 @ X108 )
      | ~ ( c3_1 @ X108 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('146',plain,
    ( ! [X46: $i] :
        ( ( c0_1 @ X46 )
        | ~ ( c1_1 @ X46 )
        | ~ ( c3_1 @ X46 ) )
    | ! [X10: $i] :
        ( ( c2_1 @ X10 )
        | ~ ( c0_1 @ X10 )
        | ~ ( c3_1 @ X10 ) )
    | ~ ndr1_0
    | ! [X99: $i] :
        ( ( c0_1 @ X99 )
        | ( c1_1 @ X99 )
        | ~ ( c3_1 @ X99 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl68]) ).

thf('147',plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl163,plain,
    ( ~ hskp10
    | ~ ( c0_1 @ a681 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('148',plain,
    ( ~ ( c0_1 @ a681 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl676_078,plain,
    ( ( c3_1 @ a681 )
   <= ( c3_1 @ a681 ) ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf(zip_derived_cl453_079,plain,
    ( ! [X99: $i] :
        ( ( c0_1 @ X99 )
        | ( c1_1 @ X99 )
        | ~ ( c3_1 @ X99 ) )
   <= ! [X99: $i] :
        ( ( c0_1 @ X99 )
        | ( c1_1 @ X99 )
        | ~ ( c3_1 @ X99 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl65]) ).

thf(zip_derived_cl1981,plain,
    ( ( ( c0_1 @ a681 )
      | ( c1_1 @ a681 ) )
   <= ( ! [X99: $i] :
          ( ( c0_1 @ X99 )
          | ( c1_1 @ X99 )
          | ~ ( c3_1 @ X99 ) )
      & ( c3_1 @ a681 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl676,zip_derived_cl453]) ).

thf('149',plain,
    ( ( c1_1 @ a681 )
    | ~ ! [X99: $i] :
          ( ( c0_1 @ X99 )
          | ( c1_1 @ X99 )
          | ~ ( c3_1 @ X99 ) )
    | ( c0_1 @ a681 )
    | ~ ( c3_1 @ a681 ) ),
    inference(split,[status(esa)],[zip_derived_cl1981]) ).

thf(zip_derived_cl47,plain,
    ! [X60: $i,X61: $i] :
      ( ( c0_1 @ X60 )
      | ~ ( c1_1 @ X60 )
      | ~ ( c2_1 @ X60 )
      | ~ ndr1_0
      | ( c1_1 @ X61 )
      | ~ ( c0_1 @ X61 )
      | ~ ( c3_1 @ X61 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('150',plain,
    ( ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ~ ( c1_1 @ X53 )
        | ~ ( c2_1 @ X53 ) )
    | ! [X42: $i] :
        ( ( c1_1 @ X42 )
        | ~ ( c0_1 @ X42 )
        | ~ ( c3_1 @ X42 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(zip_derived_cl66,plain,
    ! [X101: $i,X102: $i,X103: $i] :
      ( ( c0_1 @ X101 )
      | ( c1_1 @ X101 )
      | ~ ( c3_1 @ X101 )
      | ~ ndr1_0
      | ( c2_1 @ X102 )
      | ~ ( c0_1 @ X102 )
      | ~ ( c1_1 @ X102 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X103 )
      | ~ ( c2_1 @ X103 )
      | ~ ( c3_1 @ X103 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('151',plain,
    ( ! [X59: $i] :
        ( ( c2_1 @ X59 )
        | ~ ( c0_1 @ X59 )
        | ~ ( c1_1 @ X59 ) )
    | ! [X99: $i] :
        ( ( c0_1 @ X99 )
        | ( c1_1 @ X99 )
        | ~ ( c3_1 @ X99 ) )
    | ~ ndr1_0
    | ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf(zip_derived_cl105,plain,
    ( ~ hskp24
    | ( c0_1 @ a731 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('152',plain,
    ( ( c0_1 @ a731 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl105]) ).

thf(zip_derived_cl106,plain,
    ( ~ hskp24
    | ~ ( c1_1 @ a731 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('153',plain,
    ( ~ ( c1_1 @ a731 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(zip_derived_cl107,plain,
    ( ~ hskp24
    | ~ ( c3_1 @ a731 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('154',plain,
    ( ~ ( c3_1 @ a731 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl107]) ).

thf(zip_derived_cl293_080,plain,
    ( ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ( c3_1 @ X22 )
        | ~ ( c0_1 @ X22 ) )
   <= ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ( c3_1 @ X22 )
        | ~ ( c0_1 @ X22 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl566,plain,
    ( ~ ( c3_1 @ a731 )
   <= ~ ( c3_1 @ a731 ) ),
    inference(split,[status(esa)],[zip_derived_cl107]) ).

thf(zip_derived_cl1160,plain,
    ( ( ~ ( c0_1 @ a731 )
      | ( c1_1 @ a731 ) )
   <= ( ~ ( c3_1 @ a731 )
      & ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ( c3_1 @ X22 )
          | ~ ( c0_1 @ X22 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl293,zip_derived_cl566]) ).

thf('155',plain,
    ( ( c1_1 @ a731 )
    | ( c3_1 @ a731 )
    | ~ ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ( c3_1 @ X22 )
          | ~ ( c0_1 @ X22 ) )
    | ~ ( c0_1 @ a731 ) ),
    inference(split,[status(esa)],[zip_derived_cl1160]) ).

thf(zip_derived_cl534_081,plain,
    ( ( c3_1 @ a678 )
   <= ( c3_1 @ a678 ) ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl314_082,plain,
    ( ! [X32: $i] :
        ( ~ ( c0_1 @ X32 )
        | ~ ( c1_1 @ X32 )
        | ~ ( c3_1 @ X32 ) )
   <= ! [X32: $i] :
        ( ~ ( c0_1 @ X32 )
        | ~ ( c1_1 @ X32 )
        | ~ ( c3_1 @ X32 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl1407,plain,
    ( ( ~ ( c0_1 @ a678 )
      | ~ ( c1_1 @ a678 ) )
   <= ( ! [X32: $i] :
          ( ~ ( c0_1 @ X32 )
          | ~ ( c1_1 @ X32 )
          | ~ ( c3_1 @ X32 ) )
      & ( c3_1 @ a678 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl534,zip_derived_cl314]) ).

thf('156',plain,
    ( ~ ( c1_1 @ a678 )
    | ~ ( c3_1 @ a678 )
    | ~ ! [X32: $i] :
          ( ~ ( c0_1 @ X32 )
          | ~ ( c1_1 @ X32 )
          | ~ ( c3_1 @ X32 ) )
    | ~ ( c0_1 @ a678 ) ),
    inference(split,[status(esa)],[zip_derived_cl1407]) ).

thf('157',plain,
    ( hskp15
    | ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ( c3_1 @ X22 )
        | ~ ( c0_1 @ X22 ) )
    | ~ ndr1_0
    | hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf('158',plain,
    ( ( c2_1 @ a700 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf(zip_derived_cl142,plain,
    ( ~ hskp15
    | ~ ( c0_1 @ a700 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('159',plain,
    ( ~ ( c0_1 @ a700 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf('160',plain,
    ( ~ ( c3_1 @ a700 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(zip_derived_cl50,plain,
    ! [X67: $i] :
      ( ( c0_1 @ X67 )
      | ( c3_1 @ X67 )
      | ~ ( c2_1 @ X67 )
      | ~ ndr1_0
      | hskp14
      | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl392,plain,
    ( ! [X67: $i] :
        ( ( c0_1 @ X67 )
        | ( c3_1 @ X67 )
        | ~ ( c2_1 @ X67 ) )
   <= ! [X67: $i] :
        ( ( c0_1 @ X67 )
        | ( c3_1 @ X67 )
        | ~ ( c2_1 @ X67 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl638_083,plain,
    ( ~ ( c3_1 @ a700 )
   <= ~ ( c3_1 @ a700 ) ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(zip_derived_cl1893,plain,
    ( ( ~ ( c2_1 @ a700 )
      | ( c0_1 @ a700 ) )
   <= ( ~ ( c3_1 @ a700 )
      & ! [X67: $i] :
          ( ( c0_1 @ X67 )
          | ( c3_1 @ X67 )
          | ~ ( c2_1 @ X67 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl392,zip_derived_cl638]) ).

thf('161',plain,
    ( ~ ! [X67: $i] :
          ( ( c0_1 @ X67 )
          | ( c3_1 @ X67 )
          | ~ ( c2_1 @ X67 ) )
    | ( c0_1 @ a700 )
    | ( c3_1 @ a700 )
    | ~ ( c2_1 @ a700 ) ),
    inference(split,[status(esa)],[zip_derived_cl1893]) ).

thf(zip_derived_cl51,plain,
    ! [X68: $i,X69: $i] :
      ( ( c0_1 @ X68 )
      | ( c3_1 @ X68 )
      | ~ ( c2_1 @ X68 )
      | ~ ndr1_0
      | ( c2_1 @ X69 )
      | ( c3_1 @ X69 )
      | ~ ( c1_1 @ X69 )
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('162',plain,
    ( hskp10
    | ! [X67: $i] :
        ( ( c0_1 @ X67 )
        | ( c3_1 @ X67 )
        | ~ ( c2_1 @ X67 ) )
    | ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ( c3_1 @ X11 )
        | ~ ( c1_1 @ X11 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf('163',plain,
    ( ( c2_1 @ a681 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf('164',plain,
    ( ( c3_1 @ a681 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf(zip_derived_cl676_084,plain,
    ( ( c3_1 @ a681 )
   <= ( c3_1 @ a681 ) ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf(zip_derived_cl234_085,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl1669,plain,
    ( ( ~ ( c1_1 @ a681 )
      | ~ ( c2_1 @ a681 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c3_1 @ a681 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl676,zip_derived_cl234]) ).

thf('165',plain,
    ( ~ ( c1_1 @ a681 )
    | ~ ( c3_1 @ a681 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c2_1 @ a681 ) ),
    inference(split,[status(esa)],[zip_derived_cl1669]) ).

thf(zip_derived_cl676_086,plain,
    ( ( c3_1 @ a681 )
   <= ( c3_1 @ a681 ) ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf(zip_derived_cl277_087,plain,
    ( ! [X15: $i] :
        ( ( c1_1 @ X15 )
        | ~ ( c2_1 @ X15 )
        | ~ ( c3_1 @ X15 ) )
   <= ! [X15: $i] :
        ( ( c1_1 @ X15 )
        | ~ ( c2_1 @ X15 )
        | ~ ( c3_1 @ X15 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl1673,plain,
    ( ( ( c1_1 @ a681 )
      | ~ ( c2_1 @ a681 ) )
   <= ( ! [X15: $i] :
          ( ( c1_1 @ X15 )
          | ~ ( c2_1 @ X15 )
          | ~ ( c3_1 @ X15 ) )
      & ( c3_1 @ a681 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl676,zip_derived_cl277]) ).

thf('166',plain,
    ( ( c1_1 @ a681 )
    | ~ ( c3_1 @ a681 )
    | ~ ! [X15: $i] :
          ( ( c1_1 @ X15 )
          | ~ ( c2_1 @ X15 )
          | ~ ( c3_1 @ X15 ) )
    | ~ ( c2_1 @ a681 ) ),
    inference(split,[status(esa)],[zip_derived_cl1673]) ).

thf(zip_derived_cl7831,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']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : SYN511+1 : TPTP v8.1.2. Released v2.1.0.
% 0.11/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.UpnE3kLDtN true
% 0.13/0.35  % Computer : n013.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 21:47:32 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.21/0.65  % Total configuration time : 435
% 0.21/0.65  % Estimated wc time : 1092
% 0.21/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 6.54/1.54  % Solved by fo/fo1_av.sh.
% 6.54/1.54  % done 2135 iterations in 0.731s
% 6.54/1.54  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 6.54/1.54  % SZS output start Refutation
% See solution above
% 6.54/1.55  
% 6.54/1.55  
% 6.54/1.55  % Terminating...
% 6.95/1.66  % Runner terminated.
% 6.97/1.67  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------