TSTP Solution File: SYN500+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN500+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.8Nd4sAuah7 true

% Computer : n024.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep  1 04:04:11 EDT 2023

% Result   : Theorem 9.33s 1.90s
% Output   : Refutation 9.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   66
% Syntax   : Number of formulae    :  792 (   1 unt;  65 typ;   0 def)
%            Number of atoms       : 5295 (   0 equ;   0 cnn)
%            Maximal formula atoms :  810 (   7 avg)
%            Number of connectives : 11520 (2727   ~;3391   |; 551   &;4225   @)
%                                         (   0 <=>; 282  =>; 344  <=;   0 <~>)
%            Maximal formula depth :  113 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   66 (  65 usr;  62 con; 0-1 aty)
%            Number of variables   : 1027 (   0   ^;1027   !;   0   ?;1027   :)

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

thf(a5_type,type,
    a5: $i ).

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

thf(a19_type,type,
    a19: $i ).

thf(a63_type,type,
    a63: $i ).

thf(a23_type,type,
    a23: $i ).

thf(a32_type,type,
    a32: $i ).

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

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

thf(a1_type,type,
    a1: $i ).

thf(a10_type,type,
    a10: $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(a7_type,type,
    a7: $i ).

thf(a40_type,type,
    a40: $i ).

thf(a48_type,type,
    a48: $i ).

thf(a77_type,type,
    a77: $i ).

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

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

thf(a2_type,type,
    a2: $i ).

thf(a18_type,type,
    a18: $i ).

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

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

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

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

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

thf(a15_type,type,
    a15: $i ).

thf(a20_type,type,
    a20: $i ).

thf(a39_type,type,
    a39: $i ).

thf(a47_type,type,
    a47: $i ).

thf(a4_type,type,
    a4: $i ).

thf(a33_type,type,
    a33: $i ).

thf(a28_type,type,
    a28: $i ).

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

thf(a43_type,type,
    a43: $i ).

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

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

thf(a11_type,type,
    a11: $i ).

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

thf(a73_type,type,
    a73: $i ).

thf(a14_type,type,
    a14: $i ).

thf(a22_type,type,
    a22: $i ).

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

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

thf(a25_type,type,
    a25: $i ).

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

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

thf(a8_type,type,
    a8: $i ).

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

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

thf(a64_type,type,
    a64: $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(a3_type,type,
    a3: $i ).

thf(a13_type,type,
    a13: $i ).

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

thf(c2_1_type,type,
    c2_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 @ a1 )
          & ( c3_1 @ a1 )
          & ~ ( c2_1 @ a1 ) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & ( c0_1 @ a2 )
          & ~ ( c1_1 @ a2 )
          & ~ ( c2_1 @ a2 ) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & ( c3_1 @ a3 )
          & ~ ( c1_1 @ a3 )
          & ~ ( c2_1 @ a3 ) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & ( c2_1 @ a5 )
          & ~ ( c0_1 @ a5 )
          & ~ ( c1_1 @ a5 ) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & ~ ( c0_1 @ a7 )
          & ~ ( c1_1 @ a7 )
          & ~ ( c3_1 @ a7 ) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & ( c1_1 @ a8 )
          & ~ ( c2_1 @ a8 )
          & ~ ( c3_1 @ a8 ) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & ( c0_1 @ a10 )
          & ( c3_1 @ a10 )
          & ~ ( c2_1 @ a10 ) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & ( c1_1 @ a11 )
          & ~ ( c0_1 @ a11 )
          & ~ ( c2_1 @ a11 ) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & ( c3_1 @ a14 )
          & ~ ( c0_1 @ a14 )
          & ~ ( c2_1 @ a14 ) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & ~ ( c0_1 @ a15 )
          & ~ ( c1_1 @ a15 )
          & ~ ( c2_1 @ a15 ) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & ~ ( c1_1 @ a18 )
          & ~ ( c2_1 @ a18 )
          & ~ ( c3_1 @ a18 ) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & ( c1_1 @ a19 )
          & ( c2_1 @ a19 )
          & ~ ( c0_1 @ a19 ) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & ~ ( c0_1 @ a20 )
          & ~ ( c2_1 @ a20 )
          & ~ ( c3_1 @ a20 ) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & ( c3_1 @ a22 )
          & ~ ( c0_1 @ a22 )
          & ~ ( c1_1 @ a22 ) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & ( c0_1 @ a25 )
          & ( c1_1 @ a25 )
          & ~ ( c2_1 @ a25 ) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & ( c2_1 @ a28 )
          & ( c3_1 @ a28 )
          & ~ ( c1_1 @ a28 ) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & ( c0_1 @ a32 )
          & ( c2_1 @ a32 )
          & ~ ( c1_1 @ a32 ) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & ( c0_1 @ a33 )
          & ~ ( c1_1 @ a33 )
          & ~ ( c3_1 @ a33 ) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & ( c0_1 @ a39 )
          & ( c3_1 @ a39 )
          & ~ ( c1_1 @ a39 ) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & ( c2_1 @ a40 )
          & ~ ( c0_1 @ a40 )
          & ~ ( c3_1 @ a40 ) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & ( c0_1 @ a43 )
          & ( c1_1 @ a43 )
          & ~ ( c3_1 @ a43 ) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & ( c2_1 @ a47 )
          & ( c3_1 @ a47 )
          & ~ ( c0_1 @ a47 ) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & ( c1_1 @ a48 )
          & ~ ( c0_1 @ a48 )
          & ~ ( c3_1 @ a48 ) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & ( c2_1 @ a63 )
          & ~ ( c1_1 @ a63 )
          & ~ ( c3_1 @ a63 ) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & ( c1_1 @ a64 )
          & ( c3_1 @ a64 )
          & ~ ( c0_1 @ a64 ) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & ( c0_1 @ a73 )
          & ( c2_1 @ a73 )
          & ~ ( c3_1 @ a73 ) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & ( c0_1 @ a4 )
          & ( c1_1 @ a4 )
          & ( c3_1 @ a4 ) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & ( c1_1 @ a13 )
          & ( c2_1 @ a13 )
          & ( c3_1 @ a13 ) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & ( c0_1 @ a23 )
          & ( c1_1 @ a23 )
          & ( c2_1 @ a23 ) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & ( c0_1 @ a77 )
          & ( c2_1 @ a77 )
          & ( c3_1 @ a77 ) ) )
      & ( ! [U: $i] :
            ( ndr1_0
           => ( ( c0_1 @ U )
              | ( c1_1 @ U )
              | ( c2_1 @ U ) ) )
        | ! [V: $i] :
            ( ndr1_0
           => ( ( c0_1 @ V )
              | ~ ( c1_1 @ V )
              | ~ ( c3_1 @ V ) ) )
        | ! [W: $i] :
            ( ndr1_0
           => ( ( c1_1 @ W )
              | ~ ( c0_1 @ W )
              | ~ ( c3_1 @ W ) ) ) )
      & ( ! [X: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X )
              | ( c1_1 @ X )
              | ( c2_1 @ X ) ) )
        | ! [Y: $i] :
            ( ndr1_0
           => ( ( c1_1 @ Y )
              | ( c2_1 @ Y )
              | ( c3_1 @ Y ) ) )
        | ! [Z: $i] :
            ( ndr1_0
           => ( ( c2_1 @ Z )
              | ( c3_1 @ Z )
              | ~ ( c1_1 @ Z ) ) ) )
      & ( ! [X1: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X1 )
              | ( c1_1 @ X1 )
              | ( c2_1 @ X1 ) ) )
        | ! [X2: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X2 )
              | ~ ( c0_1 @ X2 )
              | ~ ( c3_1 @ X2 ) ) )
        | ! [X3: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X3 )
              | ~ ( c1_1 @ X3 )
              | ~ ( c3_1 @ X3 ) ) ) )
      & ( ! [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 ) ) )
        | ! [X6: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X6 )
              | ~ ( c2_1 @ X6 )
              | ~ ( c3_1 @ X6 ) ) ) )
      & ( ! [X7: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X7 )
              | ( c1_1 @ X7 )
              | ( c2_1 @ X7 ) ) )
        | ! [X8: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X8 )
              | ( c3_1 @ X8 )
              | ~ ( c1_1 @ X8 ) ) )
        | hskp0 )
      & ( ! [X9: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X9 )
              | ( c1_1 @ X9 )
              | ( c3_1 @ X9 ) ) )
        | ! [X10: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X10 )
              | ( c1_1 @ X10 )
              | ~ ( c2_1 @ X10 ) ) )
        | ! [X11: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X11 )
              | ( c3_1 @ X11 )
              | ~ ( c0_1 @ X11 ) ) ) )
      & ( ! [X12: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X12 )
              | ( c1_1 @ X12 )
              | ( c3_1 @ X12 ) ) )
        | ! [X13: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X13 )
              | ~ ( c1_1 @ X13 )
              | ~ ( c2_1 @ X13 ) ) )
        | hskp1 )
      & ( ! [X14: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X14 )
              | ( c1_1 @ X14 )
              | ( c3_1 @ X14 ) ) )
        | ! [X15: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X15 )
              | ~ ( c1_1 @ X15 )
              | ~ ( c3_1 @ X15 ) ) )
        | hskp2 )
      & ( ! [X16: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X16 )
              | ( c1_1 @ X16 )
              | ( c3_1 @ X16 ) ) )
        | hskp26
        | hskp3 )
      & ( ! [X17: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X17 )
              | ( c1_1 @ X17 )
              | ~ ( c2_1 @ X17 ) ) )
        | ! [X18: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X18 )
              | ~ ( c1_1 @ X18 )
              | ~ ( c3_1 @ X18 ) ) )
        | ! [X19: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X19 )
              | ~ ( c0_1 @ X19 )
              | ~ ( c3_1 @ X19 ) ) ) )
      & ( ! [X20: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X20 )
              | ( c1_1 @ X20 )
              | ~ ( c2_1 @ X20 ) ) )
        | hskp0
        | hskp4 )
      & ( ! [X21: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X21 )
              | ( c1_1 @ X21 )
              | ~ ( c3_1 @ X21 ) ) )
        | ! [X22: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X22 )
              | ( c2_1 @ X22 )
              | ~ ( c1_1 @ X22 ) ) )
        | ! [X23: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X23 )
              | ~ ( c2_1 @ X23 )
              | ~ ( c3_1 @ X23 ) ) ) )
      & ( ! [X24: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X24 )
              | ( c1_1 @ X24 )
              | ~ ( c3_1 @ X24 ) ) )
        | ! [X25: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X25 )
              | ~ ( c1_1 @ X25 )
              | ~ ( c2_1 @ X25 ) ) )
        | hskp5 )
      & ( ! [X26: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X26 )
              | ( c1_1 @ X26 )
              | ~ ( c3_1 @ X26 ) ) )
        | ! [X27: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X27 )
              | ~ ( c2_1 @ X27 )
              | ~ ( c3_1 @ X27 ) ) )
        | ! [X28: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X28 )
              | ( c3_1 @ X28 )
              | ~ ( c2_1 @ X28 ) ) ) )
      & ( ! [X29: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X29 )
              | ( c1_1 @ X29 )
              | ~ ( c3_1 @ X29 ) ) )
        | ! [X30: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X30 )
              | ~ ( c2_1 @ X30 )
              | ~ ( c3_1 @ X30 ) ) )
        | ! [X31: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X31 )
              | ~ ( c0_1 @ X31 )
              | ~ ( c1_1 @ X31 ) ) ) )
      & ( ! [X32: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X32 )
              | ( c1_1 @ X32 )
              | ~ ( c3_1 @ X32 ) ) )
        | ! [X33: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X33 )
              | ( c3_1 @ X33 )
              | ~ ( c2_1 @ X33 ) ) )
        | ! [X34: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X34 )
              | ( c3_1 @ X34 )
              | ~ ( c0_1 @ X34 ) ) ) )
      & ( ! [X35: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X35 )
              | ( c1_1 @ X35 )
              | ~ ( c3_1 @ X35 ) ) )
        | ! [X36: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X36 )
              | ~ ( c2_1 @ X36 )
              | ~ ( c3_1 @ X36 ) ) )
        | hskp2 )
      & ( ! [X37: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X37 )
              | ( c1_1 @ X37 )
              | ~ ( c3_1 @ X37 ) ) )
        | hskp6
        | hskp7 )
      & ( ! [X38: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X38 )
              | ( c2_1 @ X38 )
              | ( c3_1 @ X38 ) ) )
        | ! [X39: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X39 )
              | ( c3_1 @ X39 )
              | ~ ( c2_1 @ X39 ) ) )
        | ! [X40: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X40 )
              | ~ ( c1_1 @ X40 )
              | ~ ( c2_1 @ X40 ) ) ) )
      & ( ! [X41: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X41 )
              | ( c2_1 @ X41 )
              | ( c3_1 @ X41 ) ) )
        | hskp1
        | hskp27 )
      & ( ! [X42: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X42 )
              | ( c2_1 @ X42 )
              | ( c3_1 @ X42 ) ) )
        | hskp8
        | hskp9 )
      & ( ! [X43: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X43 )
              | ( c2_1 @ X43 )
              | ~ ( c1_1 @ X43 ) ) )
        | ! [X44: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X44 )
              | ( c3_1 @ X44 )
              | ~ ( c1_1 @ X44 ) ) )
        | hskp4 )
      & ( ! [X45: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X45 )
              | ( c2_1 @ X45 )
              | ~ ( c1_1 @ X45 ) ) )
        | hskp1
        | hskp10 )
      & ( ! [X46: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X46 )
              | ( c2_1 @ X46 )
              | ~ ( c1_1 @ X46 ) ) )
        | hskp11
        | hskp12 )
      & ( ! [X47: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X47 )
              | ( c2_1 @ X47 )
              | ~ ( c1_1 @ X47 ) ) )
        | hskp0
        | hskp13 )
      & ( ! [X48: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X48 )
              | ( c2_1 @ X48 )
              | ~ ( c3_1 @ X48 ) ) )
        | ! [X49: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X49 )
              | ~ ( c2_1 @ X49 )
              | ~ ( c3_1 @ X49 ) ) )
        | hskp28 )
      & ( ! [X50: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X50 )
              | ( c2_1 @ X50 )
              | ~ ( c3_1 @ X50 ) ) )
        | ! [X51: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X51 )
              | ~ ( c0_1 @ X51 )
              | ~ ( c1_1 @ X51 ) ) )
        | hskp3 )
      & ( ! [X52: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X52 )
              | ( c3_1 @ X52 )
              | ~ ( c1_1 @ X52 ) ) )
        | ! [X53: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X53 )
              | ( c3_1 @ X53 )
              | ~ ( c0_1 @ X53 ) ) )
        | ! [X54: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X54 )
              | ( c3_1 @ X54 )
              | ~ ( c1_1 @ X54 ) ) ) )
      & ( ! [X55: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X55 )
              | ( c3_1 @ X55 )
              | ~ ( c1_1 @ X55 ) ) )
        | ! [X56: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X56 )
              | ~ ( c0_1 @ X56 )
              | ~ ( c2_1 @ X56 ) ) )
        | hskp14 )
      & ( ! [X57: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X57 )
              | ( c3_1 @ X57 )
              | ~ ( c1_1 @ X57 ) ) )
        | ! [X58: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X58 )
              | ~ ( c1_1 @ X58 )
              | ~ ( c3_1 @ X58 ) ) )
        | hskp13 )
      & ( ! [X59: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X59 )
              | ( c3_1 @ X59 )
              | ~ ( c1_1 @ X59 ) ) )
        | ! [X60: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X60 )
              | ~ ( c2_1 @ X60 )
              | ~ ( c3_1 @ X60 ) ) )
        | hskp28 )
      & ( ! [X61: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X61 )
              | ( c3_1 @ X61 )
              | ~ ( c2_1 @ X61 ) ) )
        | ! [X62: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X62 )
              | ( c3_1 @ X62 )
              | ~ ( c0_1 @ X62 ) ) )
        | ! [X63: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X63 )
              | ~ ( c1_1 @ X63 )
              | ~ ( c2_1 @ X63 ) ) ) )
      & ( ! [X64: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X64 )
              | ( c3_1 @ X64 )
              | ~ ( c2_1 @ X64 ) ) )
        | hskp15
        | hskp13 )
      & ( ! [X65: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X65 )
              | ~ ( c1_1 @ X65 )
              | ~ ( c2_1 @ X65 ) ) )
        | ! [X66: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X66 )
              | ( c3_1 @ X66 )
              | ~ ( c0_1 @ X66 ) ) )
        | hskp3 )
      & ( ! [X67: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X67 )
              | ~ ( c1_1 @ X67 )
              | ~ ( c2_1 @ X67 ) ) )
        | hskp26
        | hskp16 )
      & ( ! [X68: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X68 )
              | ~ ( c1_1 @ X68 )
              | ~ ( c2_1 @ X68 ) ) )
        | hskp17
        | hskp5 )
      & ( ! [X69: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X69 )
              | ~ ( c1_1 @ X69 )
              | ~ ( c2_1 @ X69 ) ) )
        | hskp13
        | hskp10 )
      & ( ! [X70: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X70 )
              | ~ ( c1_1 @ X70 )
              | ~ ( c3_1 @ X70 ) ) )
        | ! [X71: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X71 )
              | ~ ( c2_1 @ X71 )
              | ~ ( c3_1 @ X71 ) ) )
        | hskp12 )
      & ( ! [X72: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X72 )
              | ~ ( c1_1 @ X72 )
              | ~ ( c3_1 @ X72 ) ) )
        | ! [X73: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X73 )
              | ~ ( c2_1 @ X73 )
              | ~ ( c3_1 @ X73 ) ) )
        | ! [X74: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X74 )
              | ~ ( c1_1 @ X74 )
              | ~ ( c2_1 @ X74 ) ) ) )
      & ( ! [X75: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X75 )
              | ~ ( c1_1 @ X75 )
              | ~ ( c3_1 @ X75 ) ) )
        | ! [X76: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X76 )
              | ( c3_1 @ X76 )
              | ~ ( c0_1 @ X76 ) ) )
        | hskp15 )
      & ( ! [X77: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X77 )
              | ~ ( c1_1 @ X77 )
              | ~ ( c3_1 @ X77 ) ) )
        | ! [X78: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X78 )
              | ~ ( c0_1 @ X78 )
              | ~ ( c1_1 @ X78 ) ) )
        | hskp18 )
      & ( ! [X79: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X79 )
              | ~ ( c2_1 @ X79 )
              | ~ ( c3_1 @ X79 ) ) )
        | ! [X80: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X80 )
              | ~ ( c2_1 @ X80 )
              | ~ ( c3_1 @ X80 ) ) )
        | hskp19 )
      & ( ! [X81: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X81 )
              | ~ ( c2_1 @ X81 )
              | ~ ( c3_1 @ X81 ) ) )
        | hskp3
        | hskp2 )
      & ( ! [X82: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X82 )
              | ( c2_1 @ X82 )
              | ( c3_1 @ X82 ) ) )
        | ! [X83: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X83 )
              | ~ ( c0_1 @ X83 )
              | ~ ( c2_1 @ X83 ) ) )
        | hskp20 )
      & ( ! [X84: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X84 )
              | ( c2_1 @ X84 )
              | ( c3_1 @ X84 ) ) )
        | hskp11
        | hskp12 )
      & ( ! [X85: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X85 )
              | ( c2_1 @ X85 )
              | ~ ( c0_1 @ X85 ) ) )
        | ! [X86: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X86 )
              | ~ ( c0_1 @ X86 )
              | ~ ( c2_1 @ X86 ) ) )
        | ! [X87: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X87 )
              | ~ ( c0_1 @ X87 )
              | ~ ( c3_1 @ X87 ) ) ) )
      & ( ! [X88: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X88 )
              | ( c2_1 @ X88 )
              | ~ ( c0_1 @ X88 ) ) )
        | ! [X89: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X89 )
              | ~ ( c0_1 @ X89 )
              | ~ ( c2_1 @ X89 ) ) )
        | ! [X90: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X90 )
              | ~ ( c2_1 @ X90 )
              | ~ ( c3_1 @ X90 ) ) ) )
      & ( ! [X91: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X91 )
              | ( c2_1 @ X91 )
              | ~ ( c0_1 @ X91 ) ) )
        | ! [X92: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X92 )
              | ~ ( c2_1 @ X92 )
              | ~ ( c3_1 @ X92 ) ) )
        | hskp8 )
      & ( ! [X93: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X93 )
              | ( c2_1 @ X93 )
              | ~ ( c3_1 @ X93 ) ) )
        | ! [X94: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X94 )
              | ~ ( c2_1 @ X94 )
              | ~ ( c3_1 @ X94 ) ) )
        | ! [X95: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X95 )
              | ~ ( c0_1 @ X95 )
              | ~ ( c1_1 @ X95 ) ) ) )
      & ( ! [X96: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X96 )
              | ( c2_1 @ X96 )
              | ~ ( c3_1 @ X96 ) ) )
        | ! [X97: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X97 )
              | ~ ( c1_1 @ X97 )
              | ~ ( c2_1 @ X97 ) ) )
        | hskp21 )
      & ( ! [X98: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X98 )
              | ( c3_1 @ X98 )
              | ~ ( c0_1 @ X98 ) ) )
        | ! [X99: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X99 )
              | ~ ( c2_1 @ X99 )
              | ~ ( c3_1 @ X99 ) ) )
        | hskp22 )
      & ( ! [X100: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X100 )
              | ( c3_1 @ X100 )
              | ~ ( c0_1 @ X100 ) ) )
        | hskp1
        | hskp17 )
      & ( ! [X101: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X101 )
              | ( c3_1 @ X101 )
              | ~ ( c0_1 @ X101 ) ) )
        | hskp11
        | hskp9 )
      & ( ! [X102: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X102 )
              | ( c3_1 @ X102 )
              | ~ ( c2_1 @ X102 ) ) )
        | ! [X103: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X103 )
              | ~ ( c0_1 @ X103 )
              | ~ ( c3_1 @ X103 ) ) )
        | ! [X104: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X104 )
              | ~ ( c0_1 @ X104 )
              | ~ ( c1_1 @ X104 ) ) ) )
      & ( ! [X105: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X105 )
              | ( c3_1 @ X105 )
              | ~ ( c2_1 @ X105 ) ) )
        | ! [X106: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X106 )
              | ( c3_1 @ X106 )
              | ~ ( c0_1 @ X106 ) ) )
        | ! [X107: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X107 )
              | ~ ( c1_1 @ X107 )
              | ~ ( c2_1 @ X107 ) ) ) )
      & ( ! [X108: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X108 )
              | ( c3_1 @ X108 )
              | ~ ( c2_1 @ X108 ) ) )
        | ! [X109: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X109 )
              | ( c3_1 @ X109 )
              | ~ ( c1_1 @ X109 ) ) )
        | hskp1 )
      & ( ! [X110: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X110 )
              | ( c3_1 @ X110 )
              | ~ ( c2_1 @ X110 ) ) )
        | ! [X111: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X111 )
              | ~ ( c0_1 @ X111 )
              | ~ ( c3_1 @ X111 ) ) )
        | ! [X112: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X112 )
              | ~ ( c1_1 @ X112 )
              | ~ ( c3_1 @ X112 ) ) ) )
      & ( ! [X113: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X113 )
              | ~ ( c0_1 @ X113 )
              | ~ ( c2_1 @ X113 ) ) )
        | ! [X114: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X114 )
              | ~ ( c2_1 @ X114 )
              | ~ ( c3_1 @ X114 ) ) )
        | ! [X115: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X115 )
              | ~ ( c0_1 @ X115 )
              | ~ ( c1_1 @ X115 ) ) ) )
      & ( ! [X116: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X116 )
              | ~ ( c0_1 @ X116 )
              | ~ ( c2_1 @ X116 ) ) )
        | ! [X117: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X117 )
              | ~ ( c2_1 @ X117 )
              | ~ ( c3_1 @ X117 ) ) )
        | ! [X118: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X118 )
              | ~ ( c1_1 @ X118 )
              | ~ ( c2_1 @ X118 ) ) ) )
      & ( ! [X119: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X119 )
              | ~ ( c0_1 @ X119 )
              | ~ ( c2_1 @ X119 ) ) )
        | ! [X120: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X120 )
              | ~ ( c0_1 @ X120 )
              | ~ ( c1_1 @ X120 ) ) )
        | hskp12 )
      & ( ! [X121: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X121 )
              | ~ ( c0_1 @ X121 )
              | ~ ( c2_1 @ X121 ) ) )
        | hskp18
        | hskp19 )
      & ( ! [X122: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X122 )
              | ~ ( c0_1 @ X122 )
              | ~ ( c2_1 @ X122 ) ) )
        | hskp11
        | hskp21 )
      & ( ! [X123: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X123 )
              | ~ ( c2_1 @ X123 )
              | ~ ( c3_1 @ X123 ) ) )
        | ! [X124: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X124 )
              | ~ ( c0_1 @ X124 )
              | ~ ( c2_1 @ X124 ) ) )
        | hskp8 )
      & ( ! [X125: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X125 )
              | ( c3_1 @ X125 )
              | ~ ( c0_1 @ X125 ) ) )
        | ! [X126: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X126 )
              | ~ ( c1_1 @ X126 )
              | ~ ( c2_1 @ X126 ) ) )
        | hskp20 )
      & ( ! [X127: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X127 )
              | ( c3_1 @ X127 )
              | ~ ( c0_1 @ X127 ) ) )
        | ! [X128: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X128 )
              | ~ ( c1_1 @ X128 )
              | ~ ( c3_1 @ X128 ) ) )
        | hskp13 )
      & ( ! [X129: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X129 )
              | ( c3_1 @ X129 )
              | ~ ( c0_1 @ X129 ) ) )
        | hskp26
        | hskp23 )
      & ( ! [X130: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X130 )
              | ( c3_1 @ X130 )
              | ~ ( c0_1 @ X130 ) ) )
        | hskp24
        | hskp22 )
      & ( ! [X131: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X131 )
              | ( c3_1 @ X131 )
              | ~ ( c1_1 @ X131 ) ) )
        | hskp19 )
      & ( ! [X132: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X132 )
              | ~ ( c0_1 @ X132 )
              | ~ ( c1_1 @ X132 ) ) )
        | hskp20
        | hskp6 )
      & ( ! [X133: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X133 )
              | ~ ( c0_1 @ X133 )
              | ~ ( c2_1 @ X133 ) ) )
        | hskp28
        | hskp18 )
      & ( ! [X134: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X134 )
              | ~ ( c1_1 @ X134 )
              | ~ ( c2_1 @ X134 ) ) )
        | hskp6
        | hskp2 )
      & ( ! [X135: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X135 )
              | ~ ( c1_1 @ X135 )
              | ~ ( c3_1 @ X135 ) ) )
        | hskp25 )
      & ( hskp14
        | hskp20
        | hskp12 )
      & ( hskp29
        | hskp24
        | hskp19 )
      & ( hskp25
        | hskp22
        | hskp9 )
      & ( hskp1
        | hskp27
        | hskp4 )
      & ( hskp17
        | hskp22
        | hskp19 )
      & ( hskp27
        | hskp9 )
      & ( hskp11
        | hskp0
        | hskp22 )
      & ( hskp11
        | hskp21
        | hskp12 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( ~ hskp0
      | ( ndr1_0
        & ( c1_1 @ a1 )
        & ( c3_1 @ a1 )
        & ~ ( c2_1 @ a1 ) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ( c0_1 @ a2 )
        & ~ ( c1_1 @ a2 )
        & ~ ( c2_1 @ a2 ) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ( c3_1 @ a3 )
        & ~ ( c1_1 @ a3 )
        & ~ ( c2_1 @ a3 ) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ( c2_1 @ a5 )
        & ~ ( c0_1 @ a5 )
        & ~ ( c1_1 @ a5 ) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ~ ( c0_1 @ a7 )
        & ~ ( c1_1 @ a7 )
        & ~ ( c3_1 @ a7 ) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ( c1_1 @ a8 )
        & ~ ( c2_1 @ a8 )
        & ~ ( c3_1 @ a8 ) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ( c0_1 @ a10 )
        & ( c3_1 @ a10 )
        & ~ ( c2_1 @ a10 ) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & ( c1_1 @ a11 )
        & ~ ( c0_1 @ a11 )
        & ~ ( c2_1 @ a11 ) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ( c3_1 @ a14 )
        & ~ ( c0_1 @ a14 )
        & ~ ( c2_1 @ a14 ) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ~ ( c0_1 @ a15 )
        & ~ ( c1_1 @ a15 )
        & ~ ( c2_1 @ a15 ) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ~ ( c1_1 @ a18 )
        & ~ ( c2_1 @ a18 )
        & ~ ( c3_1 @ a18 ) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ( c1_1 @ a19 )
        & ( c2_1 @ a19 )
        & ~ ( c0_1 @ a19 ) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ~ ( c0_1 @ a20 )
        & ~ ( c2_1 @ a20 )
        & ~ ( c3_1 @ a20 ) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & ( c3_1 @ a22 )
        & ~ ( c0_1 @ a22 )
        & ~ ( c1_1 @ a22 ) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ( c0_1 @ a25 )
        & ( c1_1 @ a25 )
        & ~ ( c2_1 @ a25 ) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & ( c2_1 @ a28 )
        & ( c3_1 @ a28 )
        & ~ ( c1_1 @ a28 ) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & ( c0_1 @ a32 )
        & ( c2_1 @ a32 )
        & ~ ( c1_1 @ a32 ) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ( c0_1 @ a33 )
        & ~ ( c1_1 @ a33 )
        & ~ ( c3_1 @ a33 ) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ( c0_1 @ a39 )
        & ( c3_1 @ a39 )
        & ~ ( c1_1 @ a39 ) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ( c2_1 @ a40 )
        & ~ ( c0_1 @ a40 )
        & ~ ( c3_1 @ a40 ) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ( c0_1 @ a43 )
        & ( c1_1 @ a43 )
        & ~ ( c3_1 @ a43 ) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & ( c2_1 @ a47 )
        & ( c3_1 @ a47 )
        & ~ ( c0_1 @ a47 ) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ( c1_1 @ a48 )
        & ~ ( c0_1 @ a48 )
        & ~ ( c3_1 @ a48 ) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ( c2_1 @ a63 )
        & ~ ( c1_1 @ a63 )
        & ~ ( c3_1 @ a63 ) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ( c1_1 @ a64 )
        & ( c3_1 @ a64 )
        & ~ ( c0_1 @ a64 ) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ( c0_1 @ a73 )
        & ( c2_1 @ a73 )
        & ~ ( c3_1 @ a73 ) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ( c0_1 @ a4 )
        & ( c1_1 @ a4 )
        & ( c3_1 @ a4 ) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ( c1_1 @ a13 )
        & ( c2_1 @ a13 )
        & ( c3_1 @ a13 ) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & ( c0_1 @ a23 )
        & ( c1_1 @ a23 )
        & ( c2_1 @ a23 ) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & ( c0_1 @ a77 )
        & ( c2_1 @ a77 )
        & ( c3_1 @ a77 ) ) )
    & ( ! [U: $i] :
          ( ndr1_0
         => ( ( c0_1 @ U )
            | ( c1_1 @ U )
            | ( c2_1 @ U ) ) )
      | ! [V: $i] :
          ( ndr1_0
         => ( ( c0_1 @ V )
            | ~ ( c1_1 @ V )
            | ~ ( c3_1 @ V ) ) )
      | ! [W: $i] :
          ( ndr1_0
         => ( ( c1_1 @ W )
            | ~ ( c0_1 @ W )
            | ~ ( c3_1 @ W ) ) ) )
    & ( ! [X: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X )
            | ( c1_1 @ X )
            | ( c2_1 @ X ) ) )
      | ! [Y: $i] :
          ( ndr1_0
         => ( ( c1_1 @ Y )
            | ( c2_1 @ Y )
            | ( c3_1 @ Y ) ) )
      | ! [Z: $i] :
          ( ndr1_0
         => ( ( c2_1 @ Z )
            | ( c3_1 @ Z )
            | ~ ( c1_1 @ Z ) ) ) )
    & ( ! [X1: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X1 )
            | ( c1_1 @ X1 )
            | ( c2_1 @ X1 ) ) )
      | ! [X2: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X2 )
            | ~ ( c0_1 @ X2 )
            | ~ ( c3_1 @ X2 ) ) )
      | ! [X3: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X3 )
            | ~ ( c1_1 @ X3 )
            | ~ ( c3_1 @ X3 ) ) ) )
    & ( ! [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 ) ) )
      | ! [X6: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X6 )
            | ~ ( c2_1 @ X6 )
            | ~ ( c3_1 @ X6 ) ) ) )
    & ( ! [X7: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X7 )
            | ( c1_1 @ X7 )
            | ( c2_1 @ X7 ) ) )
      | ! [X8: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X8 )
            | ( c3_1 @ X8 )
            | ~ ( c1_1 @ X8 ) ) )
      | hskp0 )
    & ( ! [X9: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X9 )
            | ( c1_1 @ X9 )
            | ( c3_1 @ X9 ) ) )
      | ! [X10: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X10 )
            | ( c1_1 @ X10 )
            | ~ ( c2_1 @ X10 ) ) )
      | ! [X11: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X11 )
            | ( c3_1 @ X11 )
            | ~ ( c0_1 @ X11 ) ) ) )
    & ( ! [X12: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X12 )
            | ( c1_1 @ X12 )
            | ( c3_1 @ X12 ) ) )
      | ! [X13: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X13 )
            | ~ ( c1_1 @ X13 )
            | ~ ( c2_1 @ X13 ) ) )
      | hskp1 )
    & ( ! [X14: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X14 )
            | ( c1_1 @ X14 )
            | ( c3_1 @ X14 ) ) )
      | ! [X15: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X15 )
            | ~ ( c1_1 @ X15 )
            | ~ ( c3_1 @ X15 ) ) )
      | hskp2 )
    & ( ! [X16: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X16 )
            | ( c1_1 @ X16 )
            | ( c3_1 @ X16 ) ) )
      | hskp26
      | hskp3 )
    & ( ! [X17: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X17 )
            | ( c1_1 @ X17 )
            | ~ ( c2_1 @ X17 ) ) )
      | ! [X18: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X18 )
            | ~ ( c1_1 @ X18 )
            | ~ ( c3_1 @ X18 ) ) )
      | ! [X19: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X19 )
            | ~ ( c0_1 @ X19 )
            | ~ ( c3_1 @ X19 ) ) ) )
    & ( ! [X20: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X20 )
            | ( c1_1 @ X20 )
            | ~ ( c2_1 @ X20 ) ) )
      | hskp0
      | hskp4 )
    & ( ! [X21: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X21 )
            | ( c1_1 @ X21 )
            | ~ ( c3_1 @ X21 ) ) )
      | ! [X22: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X22 )
            | ( c2_1 @ X22 )
            | ~ ( c1_1 @ X22 ) ) )
      | ! [X23: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X23 )
            | ~ ( c2_1 @ X23 )
            | ~ ( c3_1 @ X23 ) ) ) )
    & ( ! [X24: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X24 )
            | ( c1_1 @ X24 )
            | ~ ( c3_1 @ X24 ) ) )
      | ! [X25: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X25 )
            | ~ ( c1_1 @ X25 )
            | ~ ( c2_1 @ X25 ) ) )
      | hskp5 )
    & ( ! [X26: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X26 )
            | ( c1_1 @ X26 )
            | ~ ( c3_1 @ X26 ) ) )
      | ! [X27: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X27 )
            | ~ ( c2_1 @ X27 )
            | ~ ( c3_1 @ X27 ) ) )
      | ! [X28: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X28 )
            | ( c3_1 @ X28 )
            | ~ ( c2_1 @ X28 ) ) ) )
    & ( ! [X29: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X29 )
            | ( c1_1 @ X29 )
            | ~ ( c3_1 @ X29 ) ) )
      | ! [X30: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X30 )
            | ~ ( c2_1 @ X30 )
            | ~ ( c3_1 @ X30 ) ) )
      | ! [X31: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X31 )
            | ~ ( c0_1 @ X31 )
            | ~ ( c1_1 @ X31 ) ) ) )
    & ( ! [X32: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X32 )
            | ( c1_1 @ X32 )
            | ~ ( c3_1 @ X32 ) ) )
      | ! [X33: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X33 )
            | ( c3_1 @ X33 )
            | ~ ( c2_1 @ X33 ) ) )
      | ! [X34: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X34 )
            | ( c3_1 @ X34 )
            | ~ ( c0_1 @ X34 ) ) ) )
    & ( ! [X35: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X35 )
            | ( c1_1 @ X35 )
            | ~ ( c3_1 @ X35 ) ) )
      | ! [X36: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X36 )
            | ~ ( c2_1 @ X36 )
            | ~ ( c3_1 @ X36 ) ) )
      | hskp2 )
    & ( ! [X37: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X37 )
            | ( c1_1 @ X37 )
            | ~ ( c3_1 @ X37 ) ) )
      | hskp6
      | hskp7 )
    & ( ! [X38: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X38 )
            | ( c2_1 @ X38 )
            | ( c3_1 @ X38 ) ) )
      | ! [X39: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X39 )
            | ( c3_1 @ X39 )
            | ~ ( c2_1 @ X39 ) ) )
      | ! [X40: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X40 )
            | ~ ( c1_1 @ X40 )
            | ~ ( c2_1 @ X40 ) ) ) )
    & ( ! [X41: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X41 )
            | ( c2_1 @ X41 )
            | ( c3_1 @ X41 ) ) )
      | hskp1
      | hskp27 )
    & ( ! [X42: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X42 )
            | ( c2_1 @ X42 )
            | ( c3_1 @ X42 ) ) )
      | hskp8
      | hskp9 )
    & ( ! [X43: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X43 )
            | ( c2_1 @ X43 )
            | ~ ( c1_1 @ X43 ) ) )
      | ! [X44: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X44 )
            | ( c3_1 @ X44 )
            | ~ ( c1_1 @ X44 ) ) )
      | hskp4 )
    & ( ! [X45: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X45 )
            | ( c2_1 @ X45 )
            | ~ ( c1_1 @ X45 ) ) )
      | hskp1
      | hskp10 )
    & ( ! [X46: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X46 )
            | ( c2_1 @ X46 )
            | ~ ( c1_1 @ X46 ) ) )
      | hskp11
      | hskp12 )
    & ( ! [X47: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X47 )
            | ( c2_1 @ X47 )
            | ~ ( c1_1 @ X47 ) ) )
      | hskp0
      | hskp13 )
    & ( ! [X48: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X48 )
            | ( c2_1 @ X48 )
            | ~ ( c3_1 @ X48 ) ) )
      | ! [X49: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X49 )
            | ~ ( c2_1 @ X49 )
            | ~ ( c3_1 @ X49 ) ) )
      | hskp28 )
    & ( ! [X50: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X50 )
            | ( c2_1 @ X50 )
            | ~ ( c3_1 @ X50 ) ) )
      | ! [X51: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X51 )
            | ~ ( c0_1 @ X51 )
            | ~ ( c1_1 @ X51 ) ) )
      | hskp3 )
    & ( ! [X52: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X52 )
            | ( c3_1 @ X52 )
            | ~ ( c1_1 @ X52 ) ) )
      | ! [X53: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X53 )
            | ( c3_1 @ X53 )
            | ~ ( c0_1 @ X53 ) ) )
      | ! [X54: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X54 )
            | ( c3_1 @ X54 )
            | ~ ( c1_1 @ X54 ) ) ) )
    & ( ! [X55: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X55 )
            | ( c3_1 @ X55 )
            | ~ ( c1_1 @ X55 ) ) )
      | ! [X56: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X56 )
            | ~ ( c0_1 @ X56 )
            | ~ ( c2_1 @ X56 ) ) )
      | hskp14 )
    & ( ! [X57: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X57 )
            | ( c3_1 @ X57 )
            | ~ ( c1_1 @ X57 ) ) )
      | ! [X58: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X58 )
            | ~ ( c1_1 @ X58 )
            | ~ ( c3_1 @ X58 ) ) )
      | hskp13 )
    & ( ! [X59: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X59 )
            | ( c3_1 @ X59 )
            | ~ ( c1_1 @ X59 ) ) )
      | ! [X60: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X60 )
            | ~ ( c2_1 @ X60 )
            | ~ ( c3_1 @ X60 ) ) )
      | hskp28 )
    & ( ! [X61: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X61 )
            | ( c3_1 @ X61 )
            | ~ ( c2_1 @ X61 ) ) )
      | ! [X62: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X62 )
            | ( c3_1 @ X62 )
            | ~ ( c0_1 @ X62 ) ) )
      | ! [X63: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X63 )
            | ~ ( c1_1 @ X63 )
            | ~ ( c2_1 @ X63 ) ) ) )
    & ( ! [X64: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X64 )
            | ( c3_1 @ X64 )
            | ~ ( c2_1 @ X64 ) ) )
      | hskp15
      | hskp13 )
    & ( ! [X65: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X65 )
            | ~ ( c1_1 @ X65 )
            | ~ ( c2_1 @ X65 ) ) )
      | ! [X66: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X66 )
            | ( c3_1 @ X66 )
            | ~ ( c0_1 @ X66 ) ) )
      | hskp3 )
    & ( ! [X67: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X67 )
            | ~ ( c1_1 @ X67 )
            | ~ ( c2_1 @ X67 ) ) )
      | hskp26
      | hskp16 )
    & ( ! [X68: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X68 )
            | ~ ( c1_1 @ X68 )
            | ~ ( c2_1 @ X68 ) ) )
      | hskp17
      | hskp5 )
    & ( ! [X69: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X69 )
            | ~ ( c1_1 @ X69 )
            | ~ ( c2_1 @ X69 ) ) )
      | hskp13
      | hskp10 )
    & ( ! [X70: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X70 )
            | ~ ( c1_1 @ X70 )
            | ~ ( c3_1 @ X70 ) ) )
      | ! [X71: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X71 )
            | ~ ( c2_1 @ X71 )
            | ~ ( c3_1 @ X71 ) ) )
      | hskp12 )
    & ( ! [X72: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X72 )
            | ~ ( c1_1 @ X72 )
            | ~ ( c3_1 @ X72 ) ) )
      | ! [X73: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X73 )
            | ~ ( c2_1 @ X73 )
            | ~ ( c3_1 @ X73 ) ) )
      | ! [X74: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X74 )
            | ~ ( c1_1 @ X74 )
            | ~ ( c2_1 @ X74 ) ) ) )
    & ( ! [X75: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X75 )
            | ~ ( c1_1 @ X75 )
            | ~ ( c3_1 @ X75 ) ) )
      | ! [X76: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X76 )
            | ( c3_1 @ X76 )
            | ~ ( c0_1 @ X76 ) ) )
      | hskp15 )
    & ( ! [X77: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X77 )
            | ~ ( c1_1 @ X77 )
            | ~ ( c3_1 @ X77 ) ) )
      | ! [X78: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X78 )
            | ~ ( c0_1 @ X78 )
            | ~ ( c1_1 @ X78 ) ) )
      | hskp18 )
    & ( ! [X79: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X79 )
            | ~ ( c2_1 @ X79 )
            | ~ ( c3_1 @ X79 ) ) )
      | ! [X80: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X80 )
            | ~ ( c2_1 @ X80 )
            | ~ ( c3_1 @ X80 ) ) )
      | hskp19 )
    & ( ! [X81: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X81 )
            | ~ ( c2_1 @ X81 )
            | ~ ( c3_1 @ X81 ) ) )
      | hskp3
      | hskp2 )
    & ( ! [X82: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X82 )
            | ( c2_1 @ X82 )
            | ( c3_1 @ X82 ) ) )
      | ! [X83: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X83 )
            | ~ ( c0_1 @ X83 )
            | ~ ( c2_1 @ X83 ) ) )
      | hskp20 )
    & ( ! [X84: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X84 )
            | ( c2_1 @ X84 )
            | ( c3_1 @ X84 ) ) )
      | hskp11
      | hskp12 )
    & ( ! [X85: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X85 )
            | ( c2_1 @ X85 )
            | ~ ( c0_1 @ X85 ) ) )
      | ! [X86: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X86 )
            | ~ ( c0_1 @ X86 )
            | ~ ( c2_1 @ X86 ) ) )
      | ! [X87: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X87 )
            | ~ ( c0_1 @ X87 )
            | ~ ( c3_1 @ X87 ) ) ) )
    & ( ! [X88: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X88 )
            | ( c2_1 @ X88 )
            | ~ ( c0_1 @ X88 ) ) )
      | ! [X89: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X89 )
            | ~ ( c0_1 @ X89 )
            | ~ ( c2_1 @ X89 ) ) )
      | ! [X90: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X90 )
            | ~ ( c2_1 @ X90 )
            | ~ ( c3_1 @ X90 ) ) ) )
    & ( ! [X91: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X91 )
            | ( c2_1 @ X91 )
            | ~ ( c0_1 @ X91 ) ) )
      | ! [X92: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X92 )
            | ~ ( c2_1 @ X92 )
            | ~ ( c3_1 @ X92 ) ) )
      | hskp8 )
    & ( ! [X93: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X93 )
            | ( c2_1 @ X93 )
            | ~ ( c3_1 @ X93 ) ) )
      | ! [X94: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X94 )
            | ~ ( c2_1 @ X94 )
            | ~ ( c3_1 @ X94 ) ) )
      | ! [X95: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X95 )
            | ~ ( c0_1 @ X95 )
            | ~ ( c1_1 @ X95 ) ) ) )
    & ( ! [X96: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X96 )
            | ( c2_1 @ X96 )
            | ~ ( c3_1 @ X96 ) ) )
      | ! [X97: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X97 )
            | ~ ( c1_1 @ X97 )
            | ~ ( c2_1 @ X97 ) ) )
      | hskp21 )
    & ( ! [X98: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X98 )
            | ( c3_1 @ X98 )
            | ~ ( c0_1 @ X98 ) ) )
      | ! [X99: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X99 )
            | ~ ( c2_1 @ X99 )
            | ~ ( c3_1 @ X99 ) ) )
      | hskp22 )
    & ( ! [X100: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X100 )
            | ( c3_1 @ X100 )
            | ~ ( c0_1 @ X100 ) ) )
      | hskp1
      | hskp17 )
    & ( ! [X101: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X101 )
            | ( c3_1 @ X101 )
            | ~ ( c0_1 @ X101 ) ) )
      | hskp11
      | hskp9 )
    & ( ! [X102: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X102 )
            | ( c3_1 @ X102 )
            | ~ ( c2_1 @ X102 ) ) )
      | ! [X103: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X103 )
            | ~ ( c0_1 @ X103 )
            | ~ ( c3_1 @ X103 ) ) )
      | ! [X104: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X104 )
            | ~ ( c0_1 @ X104 )
            | ~ ( c1_1 @ X104 ) ) ) )
    & ( ! [X105: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X105 )
            | ( c3_1 @ X105 )
            | ~ ( c2_1 @ X105 ) ) )
      | ! [X106: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X106 )
            | ( c3_1 @ X106 )
            | ~ ( c0_1 @ X106 ) ) )
      | ! [X107: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X107 )
            | ~ ( c1_1 @ X107 )
            | ~ ( c2_1 @ X107 ) ) ) )
    & ( ! [X108: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X108 )
            | ( c3_1 @ X108 )
            | ~ ( c2_1 @ X108 ) ) )
      | ! [X109: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X109 )
            | ( c3_1 @ X109 )
            | ~ ( c1_1 @ X109 ) ) )
      | hskp1 )
    & ( ! [X110: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X110 )
            | ( c3_1 @ X110 )
            | ~ ( c2_1 @ X110 ) ) )
      | ! [X111: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X111 )
            | ~ ( c0_1 @ X111 )
            | ~ ( c3_1 @ X111 ) ) )
      | ! [X112: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X112 )
            | ~ ( c1_1 @ X112 )
            | ~ ( c3_1 @ X112 ) ) ) )
    & ( ! [X113: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X113 )
            | ~ ( c0_1 @ X113 )
            | ~ ( c2_1 @ X113 ) ) )
      | ! [X114: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X114 )
            | ~ ( c2_1 @ X114 )
            | ~ ( c3_1 @ X114 ) ) )
      | ! [X115: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X115 )
            | ~ ( c0_1 @ X115 )
            | ~ ( c1_1 @ X115 ) ) ) )
    & ( ! [X116: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X116 )
            | ~ ( c0_1 @ X116 )
            | ~ ( c2_1 @ X116 ) ) )
      | ! [X117: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X117 )
            | ~ ( c2_1 @ X117 )
            | ~ ( c3_1 @ X117 ) ) )
      | ! [X118: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X118 )
            | ~ ( c1_1 @ X118 )
            | ~ ( c2_1 @ X118 ) ) ) )
    & ( ! [X119: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X119 )
            | ~ ( c0_1 @ X119 )
            | ~ ( c2_1 @ X119 ) ) )
      | ! [X120: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X120 )
            | ~ ( c0_1 @ X120 )
            | ~ ( c1_1 @ X120 ) ) )
      | hskp12 )
    & ( ! [X121: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X121 )
            | ~ ( c0_1 @ X121 )
            | ~ ( c2_1 @ X121 ) ) )
      | hskp18
      | hskp19 )
    & ( ! [X122: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X122 )
            | ~ ( c0_1 @ X122 )
            | ~ ( c2_1 @ X122 ) ) )
      | hskp11
      | hskp21 )
    & ( ! [X123: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X123 )
            | ~ ( c2_1 @ X123 )
            | ~ ( c3_1 @ X123 ) ) )
      | ! [X124: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X124 )
            | ~ ( c0_1 @ X124 )
            | ~ ( c2_1 @ X124 ) ) )
      | hskp8 )
    & ( ! [X125: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X125 )
            | ( c3_1 @ X125 )
            | ~ ( c0_1 @ X125 ) ) )
      | ! [X126: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X126 )
            | ~ ( c1_1 @ X126 )
            | ~ ( c2_1 @ X126 ) ) )
      | hskp20 )
    & ( ! [X127: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X127 )
            | ( c3_1 @ X127 )
            | ~ ( c0_1 @ X127 ) ) )
      | ! [X128: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X128 )
            | ~ ( c1_1 @ X128 )
            | ~ ( c3_1 @ X128 ) ) )
      | hskp13 )
    & ( ! [X129: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X129 )
            | ( c3_1 @ X129 )
            | ~ ( c0_1 @ X129 ) ) )
      | hskp26
      | hskp23 )
    & ( ! [X130: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X130 )
            | ( c3_1 @ X130 )
            | ~ ( c0_1 @ X130 ) ) )
      | hskp24
      | hskp22 )
    & ( ! [X131: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X131 )
            | ( c3_1 @ X131 )
            | ~ ( c1_1 @ X131 ) ) )
      | hskp19 )
    & ( ! [X132: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X132 )
            | ~ ( c0_1 @ X132 )
            | ~ ( c1_1 @ X132 ) ) )
      | hskp20
      | hskp6 )
    & ( ! [X133: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X133 )
            | ~ ( c0_1 @ X133 )
            | ~ ( c2_1 @ X133 ) ) )
      | hskp28
      | hskp18 )
    & ( ! [X134: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X134 )
            | ~ ( c1_1 @ X134 )
            | ~ ( c2_1 @ X134 ) ) )
      | hskp6
      | hskp2 )
    & ( ! [X135: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X135 )
            | ~ ( c1_1 @ X135 )
            | ~ ( c3_1 @ X135 ) ) )
      | hskp25 )
    & ( hskp14
      | hskp20
      | hskp12 )
    & ( hskp29
      | hskp24
      | hskp19 )
    & ( hskp25
      | hskp22
      | hskp9 )
    & ( hskp1
      | hskp27
      | hskp4 )
    & ( hskp17
      | hskp22
      | hskp19 )
    & ( hskp27
      | hskp9 )
    & ( hskp11
      | hskp0
      | hskp22 )
    & ( hskp11
      | hskp21
      | hskp12 ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl64,plain,
    ! [X101: $i,X102: $i,X103: $i] :
      ( ( c0_1 @ X101 )
      | ( c1_1 @ X101 )
      | ~ ( c3_1 @ X101 )
      | ~ ndr1_0
      | ( c1_1 @ X102 )
      | ( c3_1 @ X102 )
      | ~ ( c2_1 @ X102 )
      | ~ ndr1_0
      | ( c2_1 @ X103 )
      | ( c3_1 @ X103 )
      | ~ ( c0_1 @ X103 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('0',plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ( c3_1 @ X23 )
        | ~ ( c2_1 @ X23 ) )
    | ! [X98: $i] :
        ( ( c0_1 @ X98 )
        | ( c1_1 @ X98 )
        | ~ ( c3_1 @ X98 ) )
    | ~ ndr1_0
    | ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ( c3_1 @ X5 )
        | ~ ( c0_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl64]) ).

thf(zip_derived_cl65,plain,
    ! [X104: $i,X105: $i,X106: $i] :
      ( ( c0_1 @ X104 )
      | ( c1_1 @ X104 )
      | ~ ( c3_1 @ X104 )
      | ~ ndr1_0
      | ( c0_1 @ X105 )
      | ~ ( c2_1 @ X105 )
      | ~ ( c3_1 @ X105 )
      | ~ ndr1_0
      | ( c2_1 @ X106 )
      | ~ ( c0_1 @ X106 )
      | ~ ( c1_1 @ X106 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('1',plain,
    ( ! [X54: $i] :
        ( ( c0_1 @ X54 )
        | ~ ( c2_1 @ X54 )
        | ~ ( c3_1 @ X54 ) )
    | ! [X3: $i] :
        ( ( c2_1 @ X3 )
        | ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 ) )
    | ~ ndr1_0
    | ! [X98: $i] :
        ( ( c0_1 @ X98 )
        | ( c1_1 @ X98 )
        | ~ ( c3_1 @ X98 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl65]) ).

thf(zip_derived_cl145,plain,
    ( ~ hskp13
    | ( c3_1 @ a22 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl639,plain,
    ( ( c3_1 @ a22 )
   <= ( c3_1 @ a22 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl30,plain,
    ! [X38: $i,X39: $i] :
      ( ( c1_1 @ X38 )
      | ( c2_1 @ X38 )
      | ~ ( c3_1 @ X38 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X39 )
      | ~ ( c1_1 @ X39 )
      | ~ ( c2_1 @ X39 )
      | ~ ndr1_0
      | hskp21 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl310,plain,
    ( ! [X38: $i] :
        ( ( c1_1 @ X38 )
        | ( c2_1 @ X38 )
        | ~ ( c3_1 @ X38 ) )
   <= ! [X38: $i] :
        ( ( c1_1 @ X38 )
        | ( c2_1 @ X38 )
        | ~ ( c3_1 @ X38 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl1780,plain,
    ( ( ( c1_1 @ a22 )
      | ( c2_1 @ a22 ) )
   <= ( ! [X38: $i] :
          ( ( c1_1 @ X38 )
          | ( c2_1 @ X38 )
          | ~ ( c3_1 @ X38 ) )
      & ( c3_1 @ a22 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl639,zip_derived_cl310]) ).

thf('2',plain,
    ( ~ ! [X38: $i] :
          ( ( c1_1 @ X38 )
          | ( c2_1 @ X38 )
          | ~ ( c3_1 @ X38 ) )
    | ( c2_1 @ a22 )
    | ~ ( c3_1 @ a22 )
    | ( c1_1 @ a22 ) ),
    inference(split,[status(esa)],[zip_derived_cl1780]) ).

thf(zip_derived_cl143,plain,
    ( ~ hskp14
    | ~ ( c2_1 @ a25 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl635,plain,
    ( ~ ( c2_1 @ a25 )
   <= ~ ( c2_1 @ a25 ) ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(zip_derived_cl11,plain,
    ! [X3: $i] :
      ( ( c2_1 @ X3 )
      | ~ ( c0_1 @ X3 )
      | ~ ( c1_1 @ X3 )
      | ~ ndr1_0
      | hskp20
      | hskp6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl234,plain,
    ( ! [X3: $i] :
        ( ( c2_1 @ X3 )
        | ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ( c2_1 @ X3 )
        | ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl905,plain,
    ( ( ~ ( c0_1 @ a25 )
      | ~ ( c1_1 @ a25 ) )
   <= ( ~ ( c2_1 @ a25 )
      & ! [X3: $i] :
          ( ( c2_1 @ X3 )
          | ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl635,zip_derived_cl234]) ).

thf('3',plain,
    ( ~ ! [X3: $i] :
          ( ( c2_1 @ X3 )
          | ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 ) )
    | ~ ( c0_1 @ a25 )
    | ( c2_1 @ a25 )
    | ~ ( c1_1 @ a25 ) ),
    inference(split,[status(esa)],[zip_derived_cl905]) ).

thf(zip_derived_cl639_001,plain,
    ( ( c3_1 @ a22 )
   <= ( c3_1 @ a22 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl17,plain,
    ! [X11: $i,X12: $i] :
      ( ( c1_1 @ X11 )
      | ~ ( c2_1 @ X11 )
      | ~ ( c3_1 @ X11 )
      | ~ ndr1_0
      | ( c3_1 @ X12 )
      | ~ ( c0_1 @ X12 )
      | ~ ( c2_1 @ X12 )
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl258,plain,
    ( ! [X11: $i] :
        ( ( c1_1 @ X11 )
        | ~ ( c2_1 @ X11 )
        | ~ ( c3_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c1_1 @ X11 )
        | ~ ( c2_1 @ X11 )
        | ~ ( c3_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl1777,plain,
    ( ( ( c1_1 @ a22 )
      | ~ ( c2_1 @ a22 ) )
   <= ( ! [X11: $i] :
          ( ( c1_1 @ X11 )
          | ~ ( c2_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
      & ( c3_1 @ a22 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl639,zip_derived_cl258]) ).

thf('4',plain,
    ( ~ ( c2_1 @ a22 )
    | ~ ! [X11: $i] :
          ( ( c1_1 @ X11 )
          | ~ ( c2_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
    | ~ ( c3_1 @ a22 )
    | ( c1_1 @ a22 ) ),
    inference(split,[status(esa)],[zip_derived_cl1777]) ).

thf(zip_derived_cl50,plain,
    ! [X77: $i,X78: $i] :
      ( ( c0_1 @ X77 )
      | ( c3_1 @ X77 )
      | ~ ( c1_1 @ X77 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X78 )
      | ~ ( c1_1 @ X78 )
      | ~ ( c3_1 @ X78 )
      | ~ ndr1_0
      | hskp13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('5',plain,
    ( hskp13
    | ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c3_1 @ X75 )
        | ~ ( c1_1 @ X75 ) )
    | ~ ndr1_0
    | ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl174,plain,
    ( ~ hskp6
    | ( c3_1 @ a10 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('6',plain,
    ( ~ hskp6
    | ( c3_1 @ a10 ) ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf(zip_derived_cl697,plain,
    ( ( c3_1 @ a10 )
   <= ( c3_1 @ a10 ) ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf(zip_derived_cl23,plain,
    ! [X23: $i,X24: $i,X25: $i] :
      ( ( c1_1 @ X23 )
      | ( c3_1 @ X23 )
      | ~ ( c2_1 @ X23 )
      | ~ ndr1_0
      | ( c2_1 @ X24 )
      | ~ ( c0_1 @ X24 )
      | ~ ( c3_1 @ X24 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X25 )
      | ~ ( c1_1 @ X25 )
      | ~ ( c3_1 @ X25 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl282,plain,
    ( ! [X24: $i] :
        ( ( c2_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c3_1 @ X24 ) )
   <= ! [X24: $i] :
        ( ( c2_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c3_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl1822,plain,
    ( ( ( c2_1 @ a10 )
      | ~ ( c0_1 @ a10 ) )
   <= ( ! [X24: $i] :
          ( ( c2_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c3_1 @ X24 ) )
      & ( c3_1 @ a10 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl697,zip_derived_cl282]) ).

thf('7',plain,
    ( ~ ( c3_1 @ a10 )
    | ( c2_1 @ a10 )
    | ~ ! [X24: $i] :
          ( ( c2_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c3_1 @ X24 ) )
    | ~ ( c0_1 @ a10 ) ),
    inference(split,[status(esa)],[zip_derived_cl1822]) ).

thf(zip_derived_cl165,plain,
    ( ~ hskp8
    | ( c3_1 @ a14 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl679,plain,
    ( ( c3_1 @ a14 )
   <= ( c3_1 @ a14 ) ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl62,plain,
    ! [X98: $i] :
      ( ( c0_1 @ X98 )
      | ( c1_1 @ X98 )
      | ~ ( c3_1 @ X98 )
      | ~ ndr1_0
      | hskp6
      | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl437,plain,
    ( ! [X98: $i] :
        ( ( c0_1 @ X98 )
        | ( c1_1 @ X98 )
        | ~ ( c3_1 @ X98 ) )
   <= ! [X98: $i] :
        ( ( c0_1 @ X98 )
        | ( c1_1 @ X98 )
        | ~ ( c3_1 @ X98 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf(zip_derived_cl2151,plain,
    ( ( ( c0_1 @ a14 )
      | ( c1_1 @ a14 ) )
   <= ( ! [X98: $i] :
          ( ( c0_1 @ X98 )
          | ( c1_1 @ X98 )
          | ~ ( c3_1 @ X98 ) )
      & ( c3_1 @ a14 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl679,zip_derived_cl437]) ).

thf('8',plain,
    ( ( c1_1 @ a14 )
    | ( c0_1 @ a14 )
    | ~ ! [X98: $i] :
          ( ( c0_1 @ X98 )
          | ( c1_1 @ X98 )
          | ~ ( c3_1 @ X98 ) )
    | ~ ( c3_1 @ a14 ) ),
    inference(split,[status(esa)],[zip_derived_cl2151]) ).

thf(zip_derived_cl41,plain,
    ! [X61: $i,X62: $i,X63: $i] :
      ( ( c0_1 @ X61 )
      | ~ ( c1_1 @ X61 )
      | ~ ( c3_1 @ X61 )
      | ~ ndr1_0
      | ( c1_1 @ X62 )
      | ~ ( c2_1 @ X62 )
      | ~ ( c3_1 @ X62 )
      | ~ ndr1_0
      | ( c3_1 @ X63 )
      | ~ ( c1_1 @ X63 )
      | ~ ( c2_1 @ X63 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('9',plain,
    ( ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ~ ( c1_1 @ X57 )
        | ~ ( c3_1 @ X57 ) )
    | ! [X11: $i] :
        ( ( c1_1 @ X11 )
        | ~ ( c2_1 @ X11 )
        | ~ ( c3_1 @ X11 ) )
    | ~ ndr1_0
    | ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c2_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf('10',plain,
    ( ( c3_1 @ a14 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl166,plain,
    ( ~ hskp8
    | ~ ( c0_1 @ a14 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('11',plain,
    ( ~ ( c0_1 @ a14 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl166]) ).

thf('12',plain,
    ( hskp8
    | ! [X11: $i] :
        ( ( c1_1 @ X11 )
        | ~ ( c2_1 @ X11 )
        | ~ ( c3_1 @ X11 ) )
    | ~ ndr1_0
    | ! [X2: $i] :
        ( ( c3_1 @ X2 )
        | ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl29,plain,
    ! [X36: $i,X37: $i] :
      ( ( c1_1 @ X36 )
      | ( c3_1 @ X36 )
      | ~ ( c0_1 @ X36 )
      | ~ ndr1_0
      | ( c1_1 @ X37 )
      | ~ ( c2_1 @ X37 )
      | ~ ( c3_1 @ X37 )
      | ~ ndr1_0
      | hskp22 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('13',plain,
    ( ! [X11: $i] :
        ( ( c1_1 @ X11 )
        | ~ ( c2_1 @ X11 )
        | ~ ( c3_1 @ X11 ) )
    | hskp22
    | ~ ndr1_0
    | ! [X34: $i] :
        ( ( c1_1 @ X34 )
        | ( c3_1 @ X34 )
        | ~ ( c0_1 @ X34 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl126,plain,
    ( ~ hskp18
    | ( c3_1 @ a39 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl601,plain,
    ( ( c3_1 @ a39 )
   <= ( c3_1 @ a39 ) ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl258_002,plain,
    ( ! [X11: $i] :
        ( ( c1_1 @ X11 )
        | ~ ( c2_1 @ X11 )
        | ~ ( c3_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c1_1 @ X11 )
        | ~ ( c2_1 @ X11 )
        | ~ ( c3_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl1647,plain,
    ( ( ( c1_1 @ a39 )
      | ~ ( c2_1 @ a39 ) )
   <= ( ! [X11: $i] :
          ( ( c1_1 @ X11 )
          | ~ ( c2_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
      & ( c3_1 @ a39 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl601,zip_derived_cl258]) ).

thf('14',plain,
    ( ~ ( c2_1 @ a39 )
    | ~ ( c3_1 @ a39 )
    | ~ ! [X11: $i] :
          ( ( c1_1 @ X11 )
          | ~ ( c2_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
    | ( c1_1 @ a39 ) ),
    inference(split,[status(esa)],[zip_derived_cl1647]) ).

thf('15',plain,
    ( ! [X24: $i] :
        ( ( c2_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c3_1 @ X24 ) )
    | ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ( c3_1 @ X23 )
        | ~ ( c2_1 @ X23 ) )
    | ~ ndr1_0
    | ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl27,plain,
    ! [X34: $i] :
      ( ( c1_1 @ X34 )
      | ( c3_1 @ X34 )
      | ~ ( c0_1 @ X34 )
      | ~ ndr1_0
      | hskp11
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl297,plain,
    ( ! [X34: $i] :
        ( ( c1_1 @ X34 )
        | ( c3_1 @ X34 )
        | ~ ( c0_1 @ X34 ) )
   <= ! [X34: $i] :
        ( ( c1_1 @ X34 )
        | ( c3_1 @ X34 )
        | ~ ( c0_1 @ X34 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl99,plain,
    ( ~ hskp25
    | ~ ( c3_1 @ a73 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl547,plain,
    ( ~ ( c3_1 @ a73 )
   <= ~ ( c3_1 @ a73 ) ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl1354,plain,
    ( ( ~ ( c0_1 @ a73 )
      | ( c1_1 @ a73 ) )
   <= ( ~ ( c3_1 @ a73 )
      & ! [X34: $i] :
          ( ( c1_1 @ X34 )
          | ( c3_1 @ X34 )
          | ~ ( c0_1 @ X34 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl297,zip_derived_cl547]) ).

thf('16',plain,
    ( ( c1_1 @ a73 )
    | ~ ! [X34: $i] :
          ( ( c1_1 @ X34 )
          | ( c3_1 @ X34 )
          | ~ ( c0_1 @ X34 ) )
    | ( c3_1 @ a73 )
    | ~ ( c0_1 @ a73 ) ),
    inference(split,[status(esa)],[zip_derived_cl1354]) ).

thf(zip_derived_cl283,plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ( c3_1 @ X23 )
        | ~ ( c2_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ( c3_1 @ X23 )
        | ~ ( c2_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl547_003,plain,
    ( ~ ( c3_1 @ a73 )
   <= ~ ( c3_1 @ a73 ) ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl1210,plain,
    ( ( ~ ( c2_1 @ a73 )
      | ( c1_1 @ a73 ) )
   <= ( ~ ( c3_1 @ a73 )
      & ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ( c3_1 @ X23 )
          | ~ ( c2_1 @ X23 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl283,zip_derived_cl547]) ).

thf('17',plain,
    ( ( c1_1 @ a73 )
    | ~ ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ( c3_1 @ X23 )
          | ~ ( c2_1 @ X23 ) )
    | ( c3_1 @ a73 )
    | ~ ( c2_1 @ a73 ) ),
    inference(split,[status(esa)],[zip_derived_cl1210]) ).

thf(zip_derived_cl547_004,plain,
    ( ~ ( c3_1 @ a73 )
   <= ~ ( c3_1 @ a73 ) ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl10,plain,
    ! [X2: $i] :
      ( ( c3_1 @ X2 )
      | ~ ( c0_1 @ X2 )
      | ~ ( c2_1 @ X2 )
      | ~ ndr1_0
      | hskp28
      | hskp18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl230,plain,
    ( ! [X2: $i] :
        ( ( c3_1 @ X2 )
        | ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ( c3_1 @ X2 )
        | ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl820,plain,
    ( ( ~ ( c0_1 @ a73 )
      | ~ ( c2_1 @ a73 ) )
   <= ( ~ ( c3_1 @ a73 )
      & ! [X2: $i] :
          ( ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl547,zip_derived_cl230]) ).

thf('18',plain,
    ( ~ ! [X2: $i] :
          ( ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
    | ~ ( c0_1 @ a73 )
    | ( c3_1 @ a73 )
    | ~ ( c2_1 @ a73 ) ),
    inference(split,[status(esa)],[zip_derived_cl820]) ).

thf(zip_derived_cl73,plain,
    ! [X122: $i,X123: $i] :
      ( ( c0_1 @ X122 )
      | ( c1_1 @ X122 )
      | ( c3_1 @ X122 )
      | ~ ndr1_0
      | ( c0_1 @ X123 )
      | ~ ( c1_1 @ X123 )
      | ~ ( c2_1 @ X123 )
      | ~ ndr1_0
      | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('19',plain,
    ( hskp1
    | ! [X119: $i] :
        ( ( c0_1 @ X119 )
        | ( c1_1 @ X119 )
        | ( c3_1 @ X119 ) )
    | ~ ndr1_0
    | ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ~ ( c1_1 @ X66 )
        | ~ ( c2_1 @ X66 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl73]) ).

thf(zip_derived_cl19,plain,
    ! [X14: $i] :
      ( ( c1_1 @ X14 )
      | ~ ( c0_1 @ X14 )
      | ~ ( c2_1 @ X14 )
      | ~ ndr1_0
      | hskp18
      | hskp19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('20',plain,
    ( hskp19
    | hskp18
    | ~ ndr1_0
    | ! [X13: $i] :
        ( ( c1_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c2_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf('21',plain,
    ( hskp28
    | hskp18
    | ~ ndr1_0
    | ! [X2: $i] :
        ( ( c3_1 @ X2 )
        | ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl601_005,plain,
    ( ( c3_1 @ a39 )
   <= ( c3_1 @ a39 ) ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl33,plain,
    ! [X45: $i,X46: $i,X47: $i] :
      ( ( c1_1 @ X45 )
      | ( c2_1 @ X45 )
      | ~ ( c0_1 @ X45 )
      | ~ ndr1_0
      | ( c1_1 @ X46 )
      | ~ ( c0_1 @ X46 )
      | ~ ( c2_1 @ X46 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X47 )
      | ~ ( c2_1 @ X47 )
      | ~ ( c3_1 @ X47 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl321,plain,
    ( ! [X47: $i] :
        ( ~ ( c0_1 @ X47 )
        | ~ ( c2_1 @ X47 )
        | ~ ( c3_1 @ X47 ) )
   <= ! [X47: $i] :
        ( ~ ( c0_1 @ X47 )
        | ~ ( c2_1 @ X47 )
        | ~ ( c3_1 @ X47 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl1651,plain,
    ( ( ~ ( c0_1 @ a39 )
      | ~ ( c2_1 @ a39 ) )
   <= ( ! [X47: $i] :
          ( ~ ( c0_1 @ X47 )
          | ~ ( c2_1 @ X47 )
          | ~ ( c3_1 @ X47 ) )
      & ( c3_1 @ a39 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl601,zip_derived_cl321]) ).

thf('22',plain,
    ( ~ ! [X47: $i] :
          ( ~ ( c0_1 @ X47 )
          | ~ ( c2_1 @ X47 )
          | ~ ( c3_1 @ X47 ) )
    | ~ ( c2_1 @ a39 )
    | ~ ( c0_1 @ a39 )
    | ~ ( c3_1 @ a39 ) ),
    inference(split,[status(esa)],[zip_derived_cl1651]) ).

thf(zip_derived_cl601_006,plain,
    ( ( c3_1 @ a39 )
   <= ( c3_1 @ a39 ) ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl282_007,plain,
    ( ! [X24: $i] :
        ( ( c2_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c3_1 @ X24 ) )
   <= ! [X24: $i] :
        ( ( c2_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c3_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl1648,plain,
    ( ( ( c2_1 @ a39 )
      | ~ ( c0_1 @ a39 ) )
   <= ( ! [X24: $i] :
          ( ( c2_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c3_1 @ X24 ) )
      & ( c3_1 @ a39 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl601,zip_derived_cl282]) ).

thf('23',plain,
    ( ( c2_1 @ a39 )
    | ~ ( c0_1 @ a39 )
    | ~ ! [X24: $i] :
          ( ( c2_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c3_1 @ X24 ) )
    | ~ ( c3_1 @ a39 ) ),
    inference(split,[status(esa)],[zip_derived_cl1648]) ).

thf(zip_derived_cl230_008,plain,
    ( ! [X2: $i] :
        ( ( c3_1 @ X2 )
        | ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ( c3_1 @ X2 )
        | ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl321_009,plain,
    ( ! [X47: $i] :
        ( ~ ( c0_1 @ X47 )
        | ~ ( c2_1 @ X47 )
        | ~ ( c3_1 @ X47 ) )
   <= ! [X47: $i] :
        ( ~ ( c0_1 @ X47 )
        | ~ ( c2_1 @ X47 )
        | ~ ( c3_1 @ X47 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl1379,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ! [X47: $i] :
          ( ~ ( c0_1 @ X47 )
          | ~ ( c2_1 @ X47 )
          | ~ ( c3_1 @ X47 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl230,zip_derived_cl321]) ).

thf(zip_derived_cl1386,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ! [X47: $i] :
          ( ~ ( c0_1 @ X47 )
          | ~ ( c2_1 @ X47 )
          | ~ ( c3_1 @ X47 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1379]) ).

thf(zip_derived_cl134,plain,
    ( ~ hskp16
    | ( c2_1 @ a32 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl617,plain,
    ( ( c2_1 @ a32 )
   <= ( c2_1 @ a32 ) ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl2470,plain,
    ( ~ ( c0_1 @ a32 )
   <= ( ! [X2: $i] :
          ( ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ! [X47: $i] :
          ( ~ ( c0_1 @ X47 )
          | ~ ( c2_1 @ X47 )
          | ~ ( c3_1 @ X47 ) )
      & ( c2_1 @ a32 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1386,zip_derived_cl617]) ).

thf(zip_derived_cl133,plain,
    ( ~ hskp16
    | ( c0_1 @ a32 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl615,plain,
    ( ( c0_1 @ a32 )
   <= ( c0_1 @ a32 ) ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf('24',plain,
    ( ~ ! [X2: $i] :
          ( ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
    | ~ ( c0_1 @ a32 )
    | ~ ! [X47: $i] :
          ( ~ ( c0_1 @ X47 )
          | ~ ( c2_1 @ X47 )
          | ~ ( c3_1 @ X47 ) )
    | ~ ( c2_1 @ a32 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2470,zip_derived_cl615]) ).

thf(zip_derived_cl189,plain,
    ( ~ hskp2
    | ( c3_1 @ a3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl727,plain,
    ( ( c3_1 @ a3 )
   <= ( c3_1 @ a3 ) ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf(zip_derived_cl282_010,plain,
    ( ! [X24: $i] :
        ( ( c2_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c3_1 @ X24 ) )
   <= ! [X24: $i] :
        ( ( c2_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c3_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl1841,plain,
    ( ( ( c2_1 @ a3 )
      | ~ ( c0_1 @ a3 ) )
   <= ( ! [X24: $i] :
          ( ( c2_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c3_1 @ X24 ) )
      & ( c3_1 @ a3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl727,zip_derived_cl282]) ).

thf('25',plain,
    ( ~ ( c0_1 @ a3 )
    | ~ ( c3_1 @ a3 )
    | ~ ! [X24: $i] :
          ( ( c2_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c3_1 @ X24 ) )
    | ( c2_1 @ a3 ) ),
    inference(split,[status(esa)],[zip_derived_cl1841]) ).

thf(zip_derived_cl21,plain,
    ! [X17: $i,X18: $i,X19: $i] :
      ( ( c1_1 @ X17 )
      | ~ ( c0_1 @ X17 )
      | ~ ( c2_1 @ X17 )
      | ~ ndr1_0
      | ( c1_1 @ X18 )
      | ~ ( c2_1 @ X18 )
      | ~ ( c3_1 @ X18 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X19 )
      | ~ ( c1_1 @ X19 )
      | ~ ( c2_1 @ X19 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('26',plain,
    ( ! [X11: $i] :
        ( ( c1_1 @ X11 )
        | ~ ( c2_1 @ X11 )
        | ~ ( c3_1 @ X11 ) )
    | ! [X19: $i] :
        ( ~ ( c0_1 @ X19 )
        | ~ ( c1_1 @ X19 )
        | ~ ( c2_1 @ X19 ) )
    | ~ ndr1_0
    | ! [X13: $i] :
        ( ( c1_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c2_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf('27',plain,
    ( ! [X43: $i] :
        ( ( c1_1 @ X43 )
        | ( c2_1 @ X43 )
        | ~ ( c0_1 @ X43 ) )
    | ! [X47: $i] :
        ( ~ ( c0_1 @ X47 )
        | ~ ( c2_1 @ X47 )
        | ~ ( c3_1 @ X47 ) )
    | ~ ndr1_0
    | ! [X13: $i] :
        ( ( c1_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c2_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl34,plain,
    ! [X48: $i,X49: $i,X50: $i] :
      ( ( c1_1 @ X48 )
      | ( c2_1 @ X48 )
      | ~ ( c0_1 @ X48 )
      | ~ ndr1_0
      | ( c1_1 @ X49 )
      | ~ ( c0_1 @ X49 )
      | ~ ( c2_1 @ X49 )
      | ~ ndr1_0
      | ( c2_1 @ X50 )
      | ~ ( c0_1 @ X50 )
      | ~ ( c3_1 @ X50 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('28',plain,
    ( ! [X24: $i] :
        ( ( c2_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c3_1 @ X24 ) )
    | ! [X43: $i] :
        ( ( c1_1 @ X43 )
        | ( c2_1 @ X43 )
        | ~ ( c0_1 @ X43 ) )
    | ~ ndr1_0
    | ! [X13: $i] :
        ( ( c1_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c2_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl75,plain,
    ! [X127: $i,X128: $i] :
      ( ( c0_1 @ X127 )
      | ( c1_1 @ X127 )
      | ( c2_1 @ X127 )
      | ~ ndr1_0
      | ( c2_1 @ X128 )
      | ( c3_1 @ X128 )
      | ~ ( c1_1 @ X128 )
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl489,plain,
    ( ! [X127: $i] :
        ( ( c0_1 @ X127 )
        | ( c1_1 @ X127 )
        | ( c2_1 @ X127 ) )
   <= ! [X127: $i] :
        ( ( c0_1 @ X127 )
        | ( c1_1 @ X127 )
        | ( c2_1 @ X127 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl75]) ).

thf(zip_derived_cl183,plain,
    ( ~ hskp4
    | ~ ( c3_1 @ a7 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl715,plain,
    ( ~ ( c3_1 @ a7 )
   <= ~ ( c3_1 @ a7 ) ),
    inference(split,[status(esa)],[zip_derived_cl183]) ).

thf(zip_derived_cl9,plain,
    ! [X1: $i] :
      ( ( c3_1 @ X1 )
      | ~ ( c1_1 @ X1 )
      | ~ ( c2_1 @ X1 )
      | ~ ndr1_0
      | hskp6
      | hskp2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl226,plain,
    ( ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c2_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c2_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl1013,plain,
    ( ( ~ ( c1_1 @ a7 )
      | ~ ( c2_1 @ a7 ) )
   <= ( ~ ( c3_1 @ a7 )
      & ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c2_1 @ X1 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl715,zip_derived_cl226]) ).

thf(zip_derived_cl1291,plain,
    ( ~ ( c2_1 @ a7 )
   <= ~ ( c2_1 @ a7 ) ),
    inference(split,[status(esa)],[zip_derived_cl1013]) ).

thf(zip_derived_cl2377,plain,
    ( ( ( c1_1 @ a7 )
      | ( c0_1 @ a7 ) )
   <= ( ~ ( c2_1 @ a7 )
      & ! [X127: $i] :
          ( ( c0_1 @ X127 )
          | ( c1_1 @ X127 )
          | ( c2_1 @ X127 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl489,zip_derived_cl1291]) ).

thf('29',plain,
    ( ~ ! [X127: $i] :
          ( ( c0_1 @ X127 )
          | ( c1_1 @ X127 )
          | ( c2_1 @ X127 ) )
    | ( c2_1 @ a7 )
    | ( c1_1 @ a7 )
    | ( c0_1 @ a7 ) ),
    inference(split,[status(esa)],[zip_derived_cl2377]) ).

thf(zip_derived_cl35,plain,
    ! [X51: $i] :
      ( ( c1_1 @ X51 )
      | ( c2_1 @ X51 )
      | ( c3_1 @ X51 )
      | ~ ndr1_0
      | hskp11
      | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl329,plain,
    ( ! [X51: $i] :
        ( ( c1_1 @ X51 )
        | ( c2_1 @ X51 )
        | ( c3_1 @ X51 ) )
   <= ! [X51: $i] :
        ( ( c1_1 @ X51 )
        | ( c2_1 @ X51 )
        | ( c3_1 @ X51 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl715_011,plain,
    ( ~ ( c3_1 @ a7 )
   <= ~ ( c3_1 @ a7 ) ),
    inference(split,[status(esa)],[zip_derived_cl183]) ).

thf(zip_derived_cl1952,plain,
    ( ( ( c2_1 @ a7 )
      | ( c1_1 @ a7 ) )
   <= ( ~ ( c3_1 @ a7 )
      & ! [X51: $i] :
          ( ( c1_1 @ X51 )
          | ( c2_1 @ X51 )
          | ( c3_1 @ X51 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl329,zip_derived_cl715]) ).

thf('30',plain,
    ( ( c2_1 @ a7 )
    | ~ ! [X51: $i] :
          ( ( c1_1 @ X51 )
          | ( c2_1 @ X51 )
          | ( c3_1 @ X51 ) )
    | ( c1_1 @ a7 )
    | ( c3_1 @ a7 ) ),
    inference(split,[status(esa)],[zip_derived_cl1952]) ).

thf(zip_derived_cl58,plain,
    ! [X91: $i,X92: $i] :
      ( ( c0_1 @ X91 )
      | ( c2_1 @ X91 )
      | ~ ( c1_1 @ X91 )
      | ~ ndr1_0
      | ( c0_1 @ X92 )
      | ( c3_1 @ X92 )
      | ~ ( c1_1 @ X92 )
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('31',plain,
    ( hskp4
    | ! [X88: $i] :
        ( ( c0_1 @ X88 )
        | ( c2_1 @ X88 )
        | ~ ( c1_1 @ X88 ) )
    | ~ ndr1_0
    | ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c3_1 @ X75 )
        | ~ ( c1_1 @ X75 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf(zip_derived_cl55,plain,
    ! [X88: $i] :
      ( ( c0_1 @ X88 )
      | ( c2_1 @ X88 )
      | ~ ( c1_1 @ X88 )
      | ~ ndr1_0
      | hskp0
      | hskp13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl409,plain,
    ( ! [X88: $i] :
        ( ( c0_1 @ X88 )
        | ( c2_1 @ X88 )
        | ~ ( c1_1 @ X88 ) )
   <= ! [X88: $i] :
        ( ( c0_1 @ X88 )
        | ( c2_1 @ X88 )
        | ~ ( c1_1 @ X88 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf(zip_derived_cl178,plain,
    ( ~ hskp5
    | ~ ( c2_1 @ a8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl705,plain,
    ( ~ ( c2_1 @ a8 )
   <= ~ ( c2_1 @ a8 ) ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl2242,plain,
    ( ( ~ ( c1_1 @ a8 )
      | ( c0_1 @ a8 ) )
   <= ( ~ ( c2_1 @ a8 )
      & ! [X88: $i] :
          ( ( c0_1 @ X88 )
          | ( c2_1 @ X88 )
          | ~ ( c1_1 @ X88 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl409,zip_derived_cl705]) ).

thf('32',plain,
    ( ~ ! [X88: $i] :
          ( ( c0_1 @ X88 )
          | ( c2_1 @ X88 )
          | ~ ( c1_1 @ X88 ) )
    | ( c0_1 @ a8 )
    | ( c2_1 @ a8 )
    | ~ ( c1_1 @ a8 ) ),
    inference(split,[status(esa)],[zip_derived_cl2242]) ).

thf(zip_derived_cl49,plain,
    ! [X75: $i,X76: $i] :
      ( ( c0_1 @ X75 )
      | ( c3_1 @ X75 )
      | ~ ( c1_1 @ X75 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X76 )
      | ~ ( c2_1 @ X76 )
      | ~ ( c3_1 @ X76 )
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl386,plain,
    ( ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c3_1 @ X75 )
        | ~ ( c1_1 @ X75 ) )
   <= ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c3_1 @ X75 )
        | ~ ( c1_1 @ X75 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl179,plain,
    ( ~ hskp5
    | ~ ( c3_1 @ a8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl707,plain,
    ( ~ ( c3_1 @ a8 )
   <= ~ ( c3_1 @ a8 ) ),
    inference(split,[status(esa)],[zip_derived_cl179]) ).

thf(zip_derived_cl2200,plain,
    ( ( ~ ( c1_1 @ a8 )
      | ( c0_1 @ a8 ) )
   <= ( ~ ( c3_1 @ a8 )
      & ! [X75: $i] :
          ( ( c0_1 @ X75 )
          | ( c3_1 @ X75 )
          | ~ ( c1_1 @ X75 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl386,zip_derived_cl707]) ).

thf('33',plain,
    ( ~ ! [X75: $i] :
          ( ( c0_1 @ X75 )
          | ( c3_1 @ X75 )
          | ~ ( c1_1 @ X75 ) )
    | ( c0_1 @ a8 )
    | ( c3_1 @ a8 )
    | ~ ( c1_1 @ a8 ) ),
    inference(split,[status(esa)],[zip_derived_cl2200]) ).

thf(zip_derived_cl59,plain,
    ! [X93: $i] :
      ( ( c0_1 @ X93 )
      | ( c2_1 @ X93 )
      | ( c3_1 @ X93 )
      | ~ ndr1_0
      | hskp8
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl425,plain,
    ( ! [X93: $i] :
        ( ( c0_1 @ X93 )
        | ( c2_1 @ X93 )
        | ( c3_1 @ X93 ) )
   <= ! [X93: $i] :
        ( ( c0_1 @ X93 )
        | ( c2_1 @ X93 )
        | ( c3_1 @ X93 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl707_012,plain,
    ( ~ ( c3_1 @ a8 )
   <= ~ ( c3_1 @ a8 ) ),
    inference(split,[status(esa)],[zip_derived_cl179]) ).

thf(zip_derived_cl2298,plain,
    ( ( ( c2_1 @ a8 )
      | ( c0_1 @ a8 ) )
   <= ( ~ ( c3_1 @ a8 )
      & ! [X93: $i] :
          ( ( c0_1 @ X93 )
          | ( c2_1 @ X93 )
          | ( c3_1 @ X93 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl425,zip_derived_cl707]) ).

thf('34',plain,
    ( ~ ! [X93: $i] :
          ( ( c0_1 @ X93 )
          | ( c2_1 @ X93 )
          | ( c3_1 @ X93 ) )
    | ( c0_1 @ a8 )
    | ( c3_1 @ a8 )
    | ( c2_1 @ a8 ) ),
    inference(split,[status(esa)],[zip_derived_cl2298]) ).

thf(zip_derived_cl707_013,plain,
    ( ~ ( c3_1 @ a8 )
   <= ~ ( c3_1 @ a8 ) ),
    inference(split,[status(esa)],[zip_derived_cl179]) ).

thf(zip_derived_cl13,plain,
    ! [X5: $i] :
      ( ( c2_1 @ X5 )
      | ( c3_1 @ X5 )
      | ~ ( c0_1 @ X5 )
      | ~ ndr1_0
      | hskp24
      | hskp22 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl241,plain,
    ( ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ( c3_1 @ X5 )
        | ~ ( c0_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ( c3_1 @ X5 )
        | ~ ( c0_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl1008,plain,
    ( ( ( c2_1 @ a8 )
      | ~ ( c0_1 @ a8 ) )
   <= ( ~ ( c3_1 @ a8 )
      & ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl707,zip_derived_cl241]) ).

thf('35',plain,
    ( ~ ( c0_1 @ a8 )
    | ~ ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 ) )
    | ( c3_1 @ a8 )
    | ( c2_1 @ a8 ) ),
    inference(split,[status(esa)],[zip_derived_cl1008]) ).

thf(zip_derived_cl78,plain,
    ! [X135: $i,X136: $i,X137: $i] :
      ( ( c0_1 @ X135 )
      | ( c1_1 @ X135 )
      | ( c2_1 @ X135 )
      | ~ ndr1_0
      | ( c1_1 @ X136 )
      | ( c2_1 @ X136 )
      | ( c3_1 @ X136 )
      | ~ ndr1_0
      | ( c2_1 @ X137 )
      | ( c3_1 @ X137 )
      | ~ ( c1_1 @ X137 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('36',plain,
    ( ! [X51: $i] :
        ( ( c1_1 @ X51 )
        | ( c2_1 @ X51 )
        | ( c3_1 @ X51 ) )
    | ! [X127: $i] :
        ( ( c0_1 @ X127 )
        | ( c1_1 @ X127 )
        | ( c2_1 @ X127 ) )
    | ~ ndr1_0
    | ! [X4: $i] :
        ( ( c2_1 @ X4 )
        | ( c3_1 @ X4 )
        | ~ ( c1_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl78]) ).

thf(zip_derived_cl125,plain,
    ( ~ hskp18
    | ( c0_1 @ a39 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('37',plain,
    ( ( c0_1 @ a39 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl125]) ).

thf('38',plain,
    ( ( c3_1 @ a39 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl127,plain,
    ( ~ hskp18
    | ~ ( c1_1 @ a39 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('39',plain,
    ( ~ ( c1_1 @ a39 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl601_014,plain,
    ( ( c3_1 @ a39 )
   <= ( c3_1 @ a39 ) ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl26,plain,
    ! [X31: $i,X32: $i,X33: $i] :
      ( ( c1_1 @ X31 )
      | ( c3_1 @ X31 )
      | ~ ( c2_1 @ X31 )
      | ~ ndr1_0
      | ( c1_1 @ X32 )
      | ~ ( c0_1 @ X32 )
      | ~ ( c3_1 @ X32 )
      | ~ ndr1_0
      | ( c2_1 @ X33 )
      | ~ ( c0_1 @ X33 )
      | ~ ( c1_1 @ X33 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl295,plain,
    ( ! [X32: $i] :
        ( ( c1_1 @ X32 )
        | ~ ( c0_1 @ X32 )
        | ~ ( c3_1 @ X32 ) )
   <= ! [X32: $i] :
        ( ( c1_1 @ X32 )
        | ~ ( c0_1 @ X32 )
        | ~ ( c3_1 @ X32 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl1649,plain,
    ( ( ( c1_1 @ a39 )
      | ~ ( c0_1 @ a39 ) )
   <= ( ! [X32: $i] :
          ( ( c1_1 @ X32 )
          | ~ ( c0_1 @ X32 )
          | ~ ( c3_1 @ X32 ) )
      & ( c3_1 @ a39 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl601,zip_derived_cl295]) ).

thf('40',plain,
    ( ~ ! [X32: $i] :
          ( ( c1_1 @ X32 )
          | ~ ( c0_1 @ X32 )
          | ~ ( c3_1 @ X32 ) )
    | ~ ( c3_1 @ a39 )
    | ( c1_1 @ a39 )
    | ~ ( c0_1 @ a39 ) ),
    inference(split,[status(esa)],[zip_derived_cl1649]) ).

thf(zip_derived_cl39,plain,
    ! [X57: $i,X58: $i] :
      ( ( c0_1 @ X57 )
      | ~ ( c1_1 @ X57 )
      | ~ ( c3_1 @ X57 )
      | ~ ndr1_0
      | ( c3_1 @ X58 )
      | ~ ( c0_1 @ X58 )
      | ~ ( c1_1 @ X58 )
      | ~ ndr1_0
      | hskp18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('41',plain,
    ( ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ~ ( c1_1 @ X57 )
        | ~ ( c3_1 @ X57 ) )
    | hskp18
    | ~ ndr1_0
    | ! [X16: $i] :
        ( ( c3_1 @ X16 )
        | ~ ( c0_1 @ X16 )
        | ~ ( c1_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf('42',plain,
    ( hskp9
    | hskp11
    | ! [X34: $i] :
        ( ( c1_1 @ X34 )
        | ( c3_1 @ X34 )
        | ~ ( c0_1 @ X34 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl102,plain,
    ( ~ hskp24
    | ( c3_1 @ a64 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl553,plain,
    ( ( c3_1 @ a64 )
   <= ( c3_1 @ a64 ) ),
    inference(split,[status(esa)],[zip_derived_cl102]) ).

thf(zip_derived_cl346,plain,
    ( ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ~ ( c1_1 @ X57 )
        | ~ ( c3_1 @ X57 ) )
   <= ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ~ ( c1_1 @ X57 )
        | ~ ( c3_1 @ X57 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl1933,plain,
    ( ( ( c0_1 @ a64 )
      | ~ ( c1_1 @ a64 ) )
   <= ( ! [X57: $i] :
          ( ( c0_1 @ X57 )
          | ~ ( c1_1 @ X57 )
          | ~ ( c3_1 @ X57 ) )
      & ( c3_1 @ a64 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl553,zip_derived_cl346]) ).

thf('43',plain,
    ( ~ ( c1_1 @ a64 )
    | ~ ( c3_1 @ a64 )
    | ~ ! [X57: $i] :
          ( ( c0_1 @ X57 )
          | ~ ( c1_1 @ X57 )
          | ~ ( c3_1 @ X57 ) )
    | ( c0_1 @ a64 ) ),
    inference(split,[status(esa)],[zip_derived_cl1933]) ).

thf(zip_derived_cl297_015,plain,
    ( ! [X34: $i] :
        ( ( c1_1 @ X34 )
        | ( c3_1 @ X34 )
        | ~ ( c0_1 @ X34 ) )
   <= ! [X34: $i] :
        ( ( c1_1 @ X34 )
        | ( c3_1 @ X34 )
        | ~ ( c0_1 @ X34 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl131,plain,
    ( ~ hskp17
    | ~ ( c3_1 @ a33 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl611,plain,
    ( ~ ( c3_1 @ a33 )
   <= ~ ( c3_1 @ a33 ) ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf(zip_derived_cl1349,plain,
    ( ( ~ ( c0_1 @ a33 )
      | ( c1_1 @ a33 ) )
   <= ( ~ ( c3_1 @ a33 )
      & ! [X34: $i] :
          ( ( c1_1 @ X34 )
          | ( c3_1 @ X34 )
          | ~ ( c0_1 @ X34 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl297,zip_derived_cl611]) ).

thf('44',plain,
    ( ~ ( c0_1 @ a33 )
    | ( c3_1 @ a33 )
    | ~ ! [X34: $i] :
          ( ( c1_1 @ X34 )
          | ( c3_1 @ X34 )
          | ~ ( c0_1 @ X34 ) )
    | ( c1_1 @ a33 ) ),
    inference(split,[status(esa)],[zip_derived_cl1349]) ).

thf(zip_derived_cl101,plain,
    ( ~ hskp24
    | ( c1_1 @ a64 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('45',plain,
    ( ( c1_1 @ a64 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf('46',plain,
    ( ( c3_1 @ a64 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl102]) ).

thf(zip_derived_cl103,plain,
    ( ~ hskp24
    | ~ ( c0_1 @ a64 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('47',plain,
    ( ~ ( c0_1 @ a64 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl103]) ).

thf('48',plain,
    ( hskp24
    | hskp22
    | ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ( c3_1 @ X5 )
        | ~ ( c0_1 @ X5 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl79,plain,
    ! [X138: $i,X139: $i,X140: $i] :
      ( ( c0_1 @ X138 )
      | ( c1_1 @ X138 )
      | ( c2_1 @ X138 )
      | ~ ndr1_0
      | ( c0_1 @ X139 )
      | ~ ( c1_1 @ X139 )
      | ~ ( c3_1 @ X139 )
      | ~ ndr1_0
      | ( c1_1 @ X140 )
      | ~ ( c0_1 @ X140 )
      | ~ ( c3_1 @ X140 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('49',plain,
    ( ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ~ ( c1_1 @ X57 )
        | ~ ( c3_1 @ X57 ) )
    | ! [X32: $i] :
        ( ( c1_1 @ X32 )
        | ~ ( c0_1 @ X32 )
        | ~ ( c3_1 @ X32 ) )
    | ~ ndr1_0
    | ! [X127: $i] :
        ( ( c0_1 @ X127 )
        | ( c1_1 @ X127 )
        | ( c2_1 @ X127 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl79]) ).

thf(zip_derived_cl98,plain,
    ( ~ hskp25
    | ( c2_1 @ a73 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl545,plain,
    ( ( c2_1 @ a73 )
   <= ( c2_1 @ a73 ) ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf(zip_derived_cl273,plain,
    ( ! [X19: $i] :
        ( ~ ( c0_1 @ X19 )
        | ~ ( c1_1 @ X19 )
        | ~ ( c2_1 @ X19 ) )
   <= ! [X19: $i] :
        ( ~ ( c0_1 @ X19 )
        | ~ ( c1_1 @ X19 )
        | ~ ( c2_1 @ X19 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl1553,plain,
    ( ( ~ ( c0_1 @ a73 )
      | ~ ( c1_1 @ a73 ) )
   <= ( ! [X19: $i] :
          ( ~ ( c0_1 @ X19 )
          | ~ ( c1_1 @ X19 )
          | ~ ( c2_1 @ X19 ) )
      & ( c2_1 @ a73 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl545,zip_derived_cl273]) ).

thf('50',plain,
    ( ~ ! [X19: $i] :
          ( ~ ( c0_1 @ X19 )
          | ~ ( c1_1 @ X19 )
          | ~ ( c2_1 @ X19 ) )
    | ~ ( c1_1 @ a73 )
    | ~ ( c0_1 @ a73 )
    | ~ ( c2_1 @ a73 ) ),
    inference(split,[status(esa)],[zip_derived_cl1553]) ).

thf(zip_derived_cl20,plain,
    ! [X15: $i,X16: $i] :
      ( ( c1_1 @ X15 )
      | ~ ( c0_1 @ X15 )
      | ~ ( c2_1 @ X15 )
      | ~ ndr1_0
      | ( c3_1 @ X16 )
      | ~ ( c0_1 @ X16 )
      | ~ ( c1_1 @ X16 )
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl270,plain,
    ( ! [X16: $i] :
        ( ( c3_1 @ X16 )
        | ~ ( c0_1 @ X16 )
        | ~ ( c1_1 @ X16 ) )
   <= ! [X16: $i] :
        ( ( c3_1 @ X16 )
        | ~ ( c0_1 @ X16 )
        | ~ ( c1_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl547_016,plain,
    ( ~ ( c3_1 @ a73 )
   <= ~ ( c3_1 @ a73 ) ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl1040,plain,
    ( ( ~ ( c1_1 @ a73 )
      | ~ ( c0_1 @ a73 ) )
   <= ( ~ ( c3_1 @ a73 )
      & ! [X16: $i] :
          ( ( c3_1 @ X16 )
          | ~ ( c0_1 @ X16 )
          | ~ ( c1_1 @ X16 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl270,zip_derived_cl547]) ).

thf('51',plain,
    ( ~ ! [X16: $i] :
          ( ( c3_1 @ X16 )
          | ~ ( c0_1 @ X16 )
          | ~ ( c1_1 @ X16 ) )
    | ~ ( c1_1 @ a73 )
    | ( c3_1 @ a73 )
    | ~ ( c0_1 @ a73 ) ),
    inference(split,[status(esa)],[zip_derived_cl1040]) ).

thf(zip_derived_cl547_017,plain,
    ( ~ ( c3_1 @ a73 )
   <= ~ ( c3_1 @ a73 ) ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl226_018,plain,
    ( ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c2_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c2_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl819,plain,
    ( ( ~ ( c1_1 @ a73 )
      | ~ ( c2_1 @ a73 ) )
   <= ( ~ ( c3_1 @ a73 )
      & ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c2_1 @ X1 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl547,zip_derived_cl226]) ).

thf('52',plain,
    ( ~ ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c2_1 @ X1 ) )
    | ~ ( c1_1 @ a73 )
    | ( c3_1 @ a73 )
    | ~ ( c2_1 @ a73 ) ),
    inference(split,[status(esa)],[zip_derived_cl819]) ).

thf(zip_derived_cl545_019,plain,
    ( ( c2_1 @ a73 )
   <= ( c2_1 @ a73 ) ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf(zip_derived_cl18,plain,
    ! [X13: $i] :
      ( ( c1_1 @ X13 )
      | ~ ( c0_1 @ X13 )
      | ~ ( c2_1 @ X13 )
      | ~ ndr1_0
      | hskp11
      | hskp21 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl261,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_cl18]) ).

thf(zip_derived_cl1552,plain,
    ( ( ( c1_1 @ a73 )
      | ~ ( c0_1 @ a73 ) )
   <= ( ! [X13: $i] :
          ( ( c1_1 @ X13 )
          | ~ ( c0_1 @ X13 )
          | ~ ( c2_1 @ X13 ) )
      & ( c2_1 @ a73 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl545,zip_derived_cl261]) ).

thf('53',plain,
    ( ~ ! [X13: $i] :
          ( ( c1_1 @ X13 )
          | ~ ( c0_1 @ X13 )
          | ~ ( c2_1 @ X13 ) )
    | ( c1_1 @ a73 )
    | ~ ( c0_1 @ a73 )
    | ~ ( c2_1 @ a73 ) ),
    inference(split,[status(esa)],[zip_derived_cl1552]) ).

thf(zip_derived_cl97,plain,
    ( ~ hskp25
    | ( c0_1 @ a73 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('54',plain,
    ( ( c0_1 @ a73 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf('55',plain,
    ( ~ ( c3_1 @ a73 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl105,plain,
    ( ~ hskp23
    | ( c2_1 @ a63 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('56',plain,
    ( ( c2_1 @ a63 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl105]) ).

thf(zip_derived_cl106,plain,
    ( ~ hskp23
    | ~ ( c1_1 @ a63 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('57',plain,
    ( ~ ( c1_1 @ a63 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(zip_derived_cl107,plain,
    ( ~ hskp23
    | ~ ( c3_1 @ a63 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('58',plain,
    ( ~ ( c3_1 @ a63 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl107]) ).

thf(zip_derived_cl14,plain,
    ! [X6: $i] :
      ( ( c2_1 @ X6 )
      | ( c3_1 @ X6 )
      | ~ ( c0_1 @ X6 )
      | ~ ndr1_0
      | hskp26
      | hskp23 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('59',plain,
    ( hskp23
    | hskp26
    | ~ ndr1_0
    | ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ( c3_1 @ X5 )
        | ~ ( c0_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl25,plain,
    ! [X28: $i,X29: $i,X30: $i] :
      ( ( c1_1 @ X28 )
      | ( c3_1 @ X28 )
      | ~ ( c2_1 @ X28 )
      | ~ ndr1_0
      | ( c2_1 @ X29 )
      | ( c3_1 @ X29 )
      | ~ ( c0_1 @ X29 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X30 )
      | ~ ( c1_1 @ X30 )
      | ~ ( c2_1 @ X30 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('60',plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ( c3_1 @ X23 )
        | ~ ( c2_1 @ X23 ) )
    | ! [X19: $i] :
        ( ~ ( c0_1 @ X19 )
        | ~ ( c1_1 @ X19 )
        | ~ ( c2_1 @ X19 ) )
    | ~ ndr1_0
    | ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ( c3_1 @ X5 )
        | ~ ( c0_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl639_020,plain,
    ( ( c3_1 @ a22 )
   <= ( c3_1 @ a22 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl37,plain,
    ! [X54: $i] :
      ( ( c0_1 @ X54 )
      | ~ ( c2_1 @ X54 )
      | ~ ( c3_1 @ X54 )
      | ~ ndr1_0
      | hskp3
      | hskp2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl337,plain,
    ( ! [X54: $i] :
        ( ( c0_1 @ X54 )
        | ~ ( c2_1 @ X54 )
        | ~ ( c3_1 @ X54 ) )
   <= ! [X54: $i] :
        ( ( c0_1 @ X54 )
        | ~ ( c2_1 @ X54 )
        | ~ ( c3_1 @ X54 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl1895,plain,
    ( ( ( c0_1 @ a22 )
      | ~ ( c2_1 @ a22 ) )
   <= ( ! [X54: $i] :
          ( ( c0_1 @ X54 )
          | ~ ( c2_1 @ X54 )
          | ~ ( c3_1 @ X54 ) )
      & ( c3_1 @ a22 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl639,zip_derived_cl337]) ).

thf('61',plain,
    ( ~ ( c2_1 @ a22 )
    | ~ ! [X54: $i] :
          ( ( c0_1 @ X54 )
          | ~ ( c2_1 @ X54 )
          | ~ ( c3_1 @ X54 ) )
    | ~ ( c3_1 @ a22 )
    | ( c0_1 @ a22 ) ),
    inference(split,[status(esa)],[zip_derived_cl1895]) ).

thf(zip_derived_cl639_021,plain,
    ( ( c3_1 @ a22 )
   <= ( c3_1 @ a22 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl321_022,plain,
    ( ! [X47: $i] :
        ( ~ ( c0_1 @ X47 )
        | ~ ( c2_1 @ X47 )
        | ~ ( c3_1 @ X47 ) )
   <= ! [X47: $i] :
        ( ~ ( c0_1 @ X47 )
        | ~ ( c2_1 @ X47 )
        | ~ ( c3_1 @ X47 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl1781,plain,
    ( ( ~ ( c0_1 @ a22 )
      | ~ ( c2_1 @ a22 ) )
   <= ( ! [X47: $i] :
          ( ~ ( c0_1 @ X47 )
          | ~ ( c2_1 @ X47 )
          | ~ ( c3_1 @ X47 ) )
      & ( c3_1 @ a22 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl639,zip_derived_cl321]) ).

thf(zip_derived_cl2859,plain,
    ( ~ ( c2_1 @ a22 )
   <= ~ ( c2_1 @ a22 ) ),
    inference(split,[status(esa)],[zip_derived_cl1781]) ).

thf(zip_derived_cl489_023,plain,
    ( ! [X127: $i] :
        ( ( c0_1 @ X127 )
        | ( c1_1 @ X127 )
        | ( c2_1 @ X127 ) )
   <= ! [X127: $i] :
        ( ( c0_1 @ X127 )
        | ( c1_1 @ X127 )
        | ( c2_1 @ X127 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl75]) ).

thf(zip_derived_cl2864,plain,
    ( ( ( c0_1 @ a22 )
      | ( c1_1 @ a22 ) )
   <= ( ~ ( c2_1 @ a22 )
      & ! [X127: $i] :
          ( ( c0_1 @ X127 )
          | ( c1_1 @ X127 )
          | ( c2_1 @ X127 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2859,zip_derived_cl489]) ).

thf('62',plain,
    ( ~ ! [X127: $i] :
          ( ( c0_1 @ X127 )
          | ( c1_1 @ X127 )
          | ( c2_1 @ X127 ) )
    | ( c2_1 @ a22 )
    | ( c0_1 @ a22 )
    | ( c1_1 @ a22 ) ),
    inference(split,[status(esa)],[zip_derived_cl2864]) ).

thf(zip_derived_cl146,plain,
    ( ~ hskp13
    | ~ ( c0_1 @ a22 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('63',plain,
    ( ~ ( c0_1 @ a22 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf(zip_derived_cl147,plain,
    ( ~ hskp13
    | ~ ( c1_1 @ a22 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('64',plain,
    ( ~ ( c1_1 @ a22 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf('65',plain,
    ( hskp13
    | ! [X88: $i] :
        ( ( c0_1 @ X88 )
        | ( c2_1 @ X88 )
        | ~ ( c1_1 @ X88 ) )
    | ~ ndr1_0
    | hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf(zip_derived_cl409_024,plain,
    ( ! [X88: $i] :
        ( ( c0_1 @ X88 )
        | ( c2_1 @ X88 )
        | ~ ( c1_1 @ X88 ) )
   <= ! [X88: $i] :
        ( ( c0_1 @ X88 )
        | ( c2_1 @ X88 )
        | ~ ( c1_1 @ X88 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf(zip_derived_cl111,plain,
    ( ~ hskp22
    | ~ ( c3_1 @ a48 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl571,plain,
    ( ~ ( c3_1 @ a48 )
   <= ~ ( c3_1 @ a48 ) ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl226_025,plain,
    ( ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c2_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c2_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl851,plain,
    ( ( ~ ( c1_1 @ a48 )
      | ~ ( c2_1 @ a48 ) )
   <= ( ~ ( c3_1 @ a48 )
      & ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c2_1 @ X1 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl571,zip_derived_cl226]) ).

thf(zip_derived_cl1088,plain,
    ( ~ ( c2_1 @ a48 )
   <= ~ ( c2_1 @ a48 ) ),
    inference(split,[status(esa)],[zip_derived_cl851]) ).

thf(zip_derived_cl2253,plain,
    ( ( ~ ( c1_1 @ a48 )
      | ( c0_1 @ a48 ) )
   <= ( ~ ( c2_1 @ a48 )
      & ! [X88: $i] :
          ( ( c0_1 @ X88 )
          | ( c2_1 @ X88 )
          | ~ ( c1_1 @ X88 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl409,zip_derived_cl1088]) ).

thf('66',plain,
    ( ( c2_1 @ a48 )
    | ( c0_1 @ a48 )
    | ~ ! [X88: $i] :
          ( ( c0_1 @ X88 )
          | ( c2_1 @ X88 )
          | ~ ( c1_1 @ X88 ) )
    | ~ ( c1_1 @ a48 ) ),
    inference(split,[status(esa)],[zip_derived_cl2253]) ).

thf('67',plain,
    ( ~ ( c2_1 @ a48 )
    | ( c3_1 @ a48 )
    | ~ ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c2_1 @ X1 ) )
    | ~ ( c1_1 @ a48 ) ),
    inference(split,[status(esa)],[zip_derived_cl851]) ).

thf(zip_derived_cl72,plain,
    ! [X120: $i,X121: $i] :
      ( ( c0_1 @ X120 )
      | ( c1_1 @ X120 )
      | ( c3_1 @ X120 )
      | ~ ndr1_0
      | ( c2_1 @ X121 )
      | ~ ( c1_1 @ X121 )
      | ~ ( c3_1 @ X121 )
      | ~ ndr1_0
      | hskp2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('68',plain,
    ( hskp2
    | ! [X121: $i] :
        ( ( c2_1 @ X121 )
        | ~ ( c1_1 @ X121 )
        | ~ ( c3_1 @ X121 ) )
    | ~ ndr1_0
    | ! [X119: $i] :
        ( ( c0_1 @ X119 )
        | ( c1_1 @ X119 )
        | ( c3_1 @ X119 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl72]) ).

thf(zip_derived_cl198,plain,
    ( ~ hskp0
    | ( c3_1 @ a1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl745,plain,
    ( ( c3_1 @ a1 )
   <= ( c3_1 @ a1 ) ),
    inference(split,[status(esa)],[zip_derived_cl198]) ).

thf(zip_derived_cl477,plain,
    ( ! [X121: $i] :
        ( ( c2_1 @ X121 )
        | ~ ( c1_1 @ X121 )
        | ~ ( c3_1 @ X121 ) )
   <= ! [X121: $i] :
        ( ( c2_1 @ X121 )
        | ~ ( c1_1 @ X121 )
        | ~ ( c3_1 @ X121 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl72]) ).

thf(zip_derived_cl2018,plain,
    ( ( ( c2_1 @ a1 )
      | ~ ( c1_1 @ a1 ) )
   <= ( ! [X121: $i] :
          ( ( c2_1 @ X121 )
          | ~ ( c1_1 @ X121 )
          | ~ ( c3_1 @ X121 ) )
      & ( c3_1 @ a1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl745,zip_derived_cl477]) ).

thf('69',plain,
    ( ~ ! [X121: $i] :
          ( ( c2_1 @ X121 )
          | ~ ( c1_1 @ X121 )
          | ~ ( c3_1 @ X121 ) )
    | ~ ( c1_1 @ a1 )
    | ~ ( c3_1 @ a1 )
    | ( c2_1 @ a1 ) ),
    inference(split,[status(esa)],[zip_derived_cl2018]) ).

thf(zip_derived_cl85,plain,
    ( ~ hskp28
    | ( c0_1 @ a23 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl519,plain,
    ( ( c0_1 @ a23 )
   <= ( c0_1 @ a23 ) ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf(zip_derived_cl12,plain,
    ! [X4: $i] :
      ( ( c2_1 @ X4 )
      | ( c3_1 @ X4 )
      | ~ ( c1_1 @ X4 )
      | ~ ndr1_0
      | hskp19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl238,plain,
    ( ! [X4: $i] :
        ( ( c2_1 @ X4 )
        | ( c3_1 @ X4 )
        | ~ ( c1_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c2_1 @ X4 )
        | ( c3_1 @ X4 )
        | ~ ( c1_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i] :
      ( ~ ( c0_1 @ X0 )
      | ~ ( c1_1 @ X0 )
      | ~ ( c3_1 @ X0 )
      | ~ ndr1_0
      | hskp25 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl223,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl789,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X4: $i] :
          ( ( c2_1 @ X4 )
          | ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl238,zip_derived_cl223]) ).

thf(zip_derived_cl790,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ( c2_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X4: $i] :
          ( ( c2_1 @ X4 )
          | ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl789]) ).

thf(zip_derived_cl226_026,plain,
    ( ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c2_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c2_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl223_027,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl763,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c2_1 @ X1 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl226,zip_derived_cl223]) ).

thf(zip_derived_cl764,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c2_1 @ X1 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl763]) ).

thf(zip_derived_cl793,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c2_1 @ X1 ) )
      & ! [X4: $i] :
          ( ( c2_1 @ X4 )
          | ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl790,zip_derived_cl764]) ).

thf(zip_derived_cl795,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c2_1 @ X1 ) )
      & ! [X4: $i] :
          ( ( c2_1 @ X4 )
          | ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl793]) ).

thf(zip_derived_cl1451,plain,
    ( ~ ( c1_1 @ a23 )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c2_1 @ X1 ) )
      & ! [X4: $i] :
          ( ( c2_1 @ X4 )
          | ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 ) )
      & ( c0_1 @ a23 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl519,zip_derived_cl795]) ).

thf(zip_derived_cl86,plain,
    ( ~ hskp28
    | ( c1_1 @ a23 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl521,plain,
    ( ( c1_1 @ a23 )
   <= ( c1_1 @ a23 ) ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf('70',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c0_1 @ a23 )
    | ~ ! [X4: $i] :
          ( ( c2_1 @ X4 )
          | ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 ) )
    | ~ ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c2_1 @ X1 ) )
    | ~ ( c1_1 @ a23 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1451,zip_derived_cl521]) ).

thf(zip_derived_cl47,plain,
    ! [X71: $i] :
      ( ( c0_1 @ X71 )
      | ( c3_1 @ X71 )
      | ~ ( c2_1 @ X71 )
      | ~ ndr1_0
      | hskp15
      | hskp13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl377,plain,
    ( ! [X71: $i] :
        ( ( c0_1 @ X71 )
        | ( c3_1 @ X71 )
        | ~ ( c2_1 @ X71 ) )
   <= ! [X71: $i] :
        ( ( c0_1 @ X71 )
        | ( c3_1 @ X71 )
        | ~ ( c2_1 @ X71 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(zip_derived_cl571_028,plain,
    ( ~ ( c3_1 @ a48 )
   <= ~ ( c3_1 @ a48 ) ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl2067,plain,
    ( ( ~ ( c2_1 @ a48 )
      | ( c0_1 @ a48 ) )
   <= ( ~ ( c3_1 @ a48 )
      & ! [X71: $i] :
          ( ( c0_1 @ X71 )
          | ( c3_1 @ X71 )
          | ~ ( c2_1 @ X71 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl377,zip_derived_cl571]) ).

thf('71',plain,
    ( ~ ( c2_1 @ a48 )
    | ~ ! [X71: $i] :
          ( ( c0_1 @ X71 )
          | ( c3_1 @ X71 )
          | ~ ( c2_1 @ X71 ) )
    | ( c0_1 @ a48 )
    | ( c3_1 @ a48 ) ),
    inference(split,[status(esa)],[zip_derived_cl2067]) ).

thf(zip_derived_cl40,plain,
    ! [X59: $i,X60: $i] :
      ( ( c0_1 @ X59 )
      | ~ ( c1_1 @ X59 )
      | ~ ( c3_1 @ X59 )
      | ~ ndr1_0
      | ( c2_1 @ X60 )
      | ( c3_1 @ X60 )
      | ~ ( c0_1 @ X60 )
      | ~ ndr1_0
      | hskp15 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('72',plain,
    ( hskp15
    | ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ~ ( c1_1 @ X57 )
        | ~ ( c3_1 @ X57 ) )
    | ~ ndr1_0
    | ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ( c3_1 @ X5 )
        | ~ ( c0_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl745_029,plain,
    ( ( c3_1 @ a1 )
   <= ( c3_1 @ a1 ) ),
    inference(split,[status(esa)],[zip_derived_cl198]) ).

thf(zip_derived_cl53,plain,
    ! [X84: $i,X85: $i] :
      ( ( c0_1 @ X84 )
      | ( c2_1 @ X84 )
      | ~ ( c3_1 @ X84 )
      | ~ ndr1_0
      | ( c2_1 @ X85 )
      | ~ ( c0_1 @ X85 )
      | ~ ( c1_1 @ X85 )
      | ~ ndr1_0
      | hskp3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl402,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_cl53]) ).

thf(zip_derived_cl2108,plain,
    ( ( ( c0_1 @ a1 )
      | ( c2_1 @ a1 ) )
   <= ( ! [X84: $i] :
          ( ( c0_1 @ X84 )
          | ( c2_1 @ X84 )
          | ~ ( c3_1 @ X84 ) )
      & ( c3_1 @ a1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl745,zip_derived_cl402]) ).

thf('73',plain,
    ( ( c0_1 @ a1 )
    | ( c2_1 @ a1 )
    | ~ ! [X84: $i] :
          ( ( c0_1 @ X84 )
          | ( c2_1 @ X84 )
          | ~ ( c3_1 @ X84 ) )
    | ~ ( c3_1 @ a1 ) ),
    inference(split,[status(esa)],[zip_derived_cl2108]) ).

thf(zip_derived_cl137,plain,
    ( ~ hskp15
    | ( c2_1 @ a28 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl623,plain,
    ( ( c2_1 @ a28 )
   <= ( c2_1 @ a28 ) ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(zip_derived_cl261_030,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_cl18]) ).

thf(zip_derived_cl1693,plain,
    ( ( ( c1_1 @ a28 )
      | ~ ( c0_1 @ a28 ) )
   <= ( ! [X13: $i] :
          ( ( c1_1 @ X13 )
          | ~ ( c0_1 @ X13 )
          | ~ ( c2_1 @ X13 ) )
      & ( c2_1 @ a28 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl623,zip_derived_cl261]) ).

thf('74',plain,
    ( ~ ( c0_1 @ a28 )
    | ( c1_1 @ a28 )
    | ~ ! [X13: $i] :
          ( ( c1_1 @ X13 )
          | ~ ( c0_1 @ X13 )
          | ~ ( c2_1 @ X13 ) )
    | ~ ( c2_1 @ a28 ) ),
    inference(split,[status(esa)],[zip_derived_cl1693]) ).

thf('75',plain,
    ( ( c2_1 @ a28 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(zip_derived_cl138,plain,
    ( ~ hskp15
    | ( c3_1 @ a28 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('76',plain,
    ( ( c3_1 @ a28 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf(zip_derived_cl139,plain,
    ( ~ hskp15
    | ~ ( c1_1 @ a28 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('77',plain,
    ( ~ ( c1_1 @ a28 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf(zip_derived_cl625,plain,
    ( ( c3_1 @ a28 )
   <= ( c3_1 @ a28 ) ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf(zip_derived_cl337_031,plain,
    ( ! [X54: $i] :
        ( ( c0_1 @ X54 )
        | ~ ( c2_1 @ X54 )
        | ~ ( c3_1 @ X54 ) )
   <= ! [X54: $i] :
        ( ( c0_1 @ X54 )
        | ~ ( c2_1 @ X54 )
        | ~ ( c3_1 @ X54 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl1896,plain,
    ( ( ( c0_1 @ a28 )
      | ~ ( c2_1 @ a28 ) )
   <= ( ! [X54: $i] :
          ( ( c0_1 @ X54 )
          | ~ ( c2_1 @ X54 )
          | ~ ( c3_1 @ X54 ) )
      & ( c3_1 @ a28 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl625,zip_derived_cl337]) ).

thf('78',plain,
    ( ~ ( c3_1 @ a28 )
    | ( c0_1 @ a28 )
    | ~ ! [X54: $i] :
          ( ( c0_1 @ X54 )
          | ~ ( c2_1 @ X54 )
          | ~ ( c3_1 @ X54 ) )
    | ~ ( c2_1 @ a28 ) ),
    inference(split,[status(esa)],[zip_derived_cl1896]) ).

thf(zip_derived_cl161,plain,
    ( ~ hskp9
    | ~ ( c0_1 @ a15 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('79',plain,
    ( ~ ( c0_1 @ a15 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl162,plain,
    ( ~ hskp9
    | ~ ( c1_1 @ a15 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('80',plain,
    ( ~ ( c1_1 @ a15 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf(zip_derived_cl163,plain,
    ( ~ hskp9
    | ~ ( c2_1 @ a15 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('81',plain,
    ( ~ ( c2_1 @ a15 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl2,plain,
    ( hskp27
    | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('82',plain,
    ( hskp9
    | hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl386_032,plain,
    ( ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c3_1 @ X75 )
        | ~ ( c1_1 @ X75 ) )
   <= ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c3_1 @ X75 )
        | ~ ( c1_1 @ X75 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl571_033,plain,
    ( ~ ( c3_1 @ a48 )
   <= ~ ( c3_1 @ a48 ) ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl2206,plain,
    ( ( ~ ( c1_1 @ a48 )
      | ( c0_1 @ a48 ) )
   <= ( ~ ( c3_1 @ a48 )
      & ! [X75: $i] :
          ( ( c0_1 @ X75 )
          | ( c3_1 @ X75 )
          | ~ ( c1_1 @ X75 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl386,zip_derived_cl571]) ).

thf('83',plain,
    ( ~ ! [X75: $i] :
          ( ( c0_1 @ X75 )
          | ( c3_1 @ X75 )
          | ~ ( c1_1 @ X75 ) )
    | ( c0_1 @ a48 )
    | ( c3_1 @ a48 )
    | ~ ( c1_1 @ a48 ) ),
    inference(split,[status(esa)],[zip_derived_cl2206]) ).

thf(zip_derived_cl110,plain,
    ( ~ hskp22
    | ~ ( c0_1 @ a48 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('84',plain,
    ( ~ ( c0_1 @ a48 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl110]) ).

thf('85',plain,
    ( hskp0
    | ! [X127: $i] :
        ( ( c0_1 @ X127 )
        | ( c1_1 @ X127 )
        | ( c2_1 @ X127 ) )
    | ~ ndr1_0
    | ! [X4: $i] :
        ( ( c2_1 @ X4 )
        | ( c3_1 @ X4 )
        | ~ ( c1_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl75]) ).

thf(zip_derived_cl241_034,plain,
    ( ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ( c3_1 @ X5 )
        | ~ ( c0_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ( c3_1 @ X5 )
        | ~ ( c0_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl223_035,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl797,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl241,zip_derived_cl223]) ).

thf(zip_derived_cl798,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl797]) ).

thf(zip_derived_cl199,plain,
    ( ~ hskp0
    | ~ ( c2_1 @ a1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl747,plain,
    ( ~ ( c2_1 @ a1 )
   <= ~ ( c2_1 @ a1 ) ),
    inference(split,[status(esa)],[zip_derived_cl199]) ).

thf(zip_derived_cl1079,plain,
    ( ( ~ ( c0_1 @ a1 )
      | ~ ( c1_1 @ a1 ) )
   <= ( ~ ( c2_1 @ a1 )
      & ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl798,zip_derived_cl747]) ).

thf('86',plain,
    ( ~ ( c0_1 @ a1 )
    | ( c2_1 @ a1 )
    | ~ ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 ) )
    | ~ ( c1_1 @ a1 ) ),
    inference(split,[status(esa)],[zip_derived_cl1079]) ).

thf(zip_derived_cl241_036,plain,
    ( ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ( c3_1 @ X5 )
        | ~ ( c0_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ( c3_1 @ X5 )
        | ~ ( c0_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl282_037,plain,
    ( ! [X24: $i] :
        ( ( c2_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c3_1 @ X24 ) )
   <= ! [X24: $i] :
        ( ( c2_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c3_1 @ X24 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl1172,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ( c2_1 @ X0 )
        | ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 ) )
   <= ( ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 ) )
      & ! [X24: $i] :
          ( ( c2_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c3_1 @ X24 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl241,zip_derived_cl282]) ).

thf(zip_derived_cl1176,plain,
    ( ! [X0: $i] :
        ( ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 ) )
   <= ( ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 ) )
      & ! [X24: $i] :
          ( ( c2_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c3_1 @ X24 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1172]) ).

thf(zip_derived_cl195,plain,
    ( ~ hskp1
    | ~ ( c2_1 @ a2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl739,plain,
    ( ~ ( c2_1 @ a2 )
   <= ~ ( c2_1 @ a2 ) ),
    inference(split,[status(esa)],[zip_derived_cl195]) ).

thf(zip_derived_cl3401,plain,
    ( ~ ( c0_1 @ a2 )
   <= ( ~ ( c2_1 @ a2 )
      & ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 ) )
      & ! [X24: $i] :
          ( ( c2_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c3_1 @ X24 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1176,zip_derived_cl739]) ).

thf(zip_derived_cl193,plain,
    ( ~ hskp1
    | ( c0_1 @ a2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl735,plain,
    ( ( c0_1 @ a2 )
   <= ( c0_1 @ a2 ) ),
    inference(split,[status(esa)],[zip_derived_cl193]) ).

thf('87',plain,
    ( ~ ( c0_1 @ a2 )
    | ( c2_1 @ a2 )
    | ~ ! [X24: $i] :
          ( ( c2_1 @ X24 )
          | ~ ( c0_1 @ X24 )
          | ~ ( c3_1 @ X24 ) )
    | ~ ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl3401,zip_derived_cl735]) ).

thf(zip_derived_cl70,plain,
    ! [X116: $i,X117: $i,X118: $i] :
      ( ( c0_1 @ X116 )
      | ( c1_1 @ X116 )
      | ~ ( c2_1 @ X116 )
      | ~ ndr1_0
      | ( c0_1 @ X117 )
      | ~ ( c1_1 @ X117 )
      | ~ ( c3_1 @ X117 )
      | ~ ndr1_0
      | ( c2_1 @ X118 )
      | ~ ( c0_1 @ X118 )
      | ~ ( c3_1 @ X118 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('88',plain,
    ( ! [X24: $i] :
        ( ( c2_1 @ X24 )
        | ~ ( c0_1 @ X24 )
        | ~ ( c3_1 @ X24 ) )
    | ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ~ ( c1_1 @ X57 )
        | ~ ( c3_1 @ X57 ) )
    | ~ ndr1_0
    | ! [X115: $i] :
        ( ( c0_1 @ X115 )
        | ( c1_1 @ X115 )
        | ~ ( c2_1 @ X115 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl70]) ).

thf(zip_derived_cl121,plain,
    ( ~ hskp19
    | ( c2_1 @ a40 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl591,plain,
    ( ( c2_1 @ a40 )
   <= ( c2_1 @ a40 ) ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl69,plain,
    ! [X115: $i] :
      ( ( c0_1 @ X115 )
      | ( c1_1 @ X115 )
      | ~ ( c2_1 @ X115 )
      | ~ ndr1_0
      | hskp0
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl465,plain,
    ( ! [X115: $i] :
        ( ( c0_1 @ X115 )
        | ( c1_1 @ X115 )
        | ~ ( c2_1 @ X115 ) )
   <= ! [X115: $i] :
        ( ( c0_1 @ X115 )
        | ( c1_1 @ X115 )
        | ~ ( c2_1 @ X115 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl69]) ).

thf(zip_derived_cl2178,plain,
    ( ( ( c0_1 @ a40 )
      | ( c1_1 @ a40 ) )
   <= ( ! [X115: $i] :
          ( ( c0_1 @ X115 )
          | ( c1_1 @ X115 )
          | ~ ( c2_1 @ X115 ) )
      & ( c2_1 @ a40 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl591,zip_derived_cl465]) ).

thf('89',plain,
    ( ~ ! [X115: $i] :
          ( ( c0_1 @ X115 )
          | ( c1_1 @ X115 )
          | ~ ( c2_1 @ X115 ) )
    | ( c1_1 @ a40 )
    | ( c0_1 @ a40 )
    | ~ ( c2_1 @ a40 ) ),
    inference(split,[status(esa)],[zip_derived_cl2178]) ).

thf(zip_derived_cl745_038,plain,
    ( ( c3_1 @ a1 )
   <= ( c3_1 @ a1 ) ),
    inference(split,[status(esa)],[zip_derived_cl198]) ).

thf(zip_derived_cl346_039,plain,
    ( ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ~ ( c1_1 @ X57 )
        | ~ ( c3_1 @ X57 ) )
   <= ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ~ ( c1_1 @ X57 )
        | ~ ( c3_1 @ X57 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl1925,plain,
    ( ( ( c0_1 @ a1 )
      | ~ ( c1_1 @ a1 ) )
   <= ( ! [X57: $i] :
          ( ( c0_1 @ X57 )
          | ~ ( c1_1 @ X57 )
          | ~ ( c3_1 @ X57 ) )
      & ( c3_1 @ a1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl745,zip_derived_cl346]) ).

thf('90',plain,
    ( ( c0_1 @ a1 )
    | ~ ( c3_1 @ a1 )
    | ~ ! [X57: $i] :
          ( ( c0_1 @ X57 )
          | ~ ( c1_1 @ X57 )
          | ~ ( c3_1 @ X57 ) )
    | ~ ( c1_1 @ a1 ) ),
    inference(split,[status(esa)],[zip_derived_cl1925]) ).

thf(zip_derived_cl123,plain,
    ( ~ hskp19
    | ~ ( c3_1 @ a40 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl595,plain,
    ( ~ ( c3_1 @ a40 )
   <= ~ ( c3_1 @ a40 ) ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl226_040,plain,
    ( ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c2_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c2_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl875,plain,
    ( ( ~ ( c1_1 @ a40 )
      | ~ ( c2_1 @ a40 ) )
   <= ( ~ ( c3_1 @ a40 )
      & ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c2_1 @ X1 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl595,zip_derived_cl226]) ).

thf('91',plain,
    ( ~ ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c2_1 @ X1 ) )
    | ~ ( c1_1 @ a40 )
    | ~ ( c2_1 @ a40 )
    | ( c3_1 @ a40 ) ),
    inference(split,[status(esa)],[zip_derived_cl875]) ).

thf('92',plain,
    ( ~ ( c2_1 @ a1 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl199]) ).

thf(zip_derived_cl790_041,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ( c2_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X4: $i] :
          ( ( c2_1 @ X4 )
          | ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl789]) ).

thf(zip_derived_cl747_042,plain,
    ( ~ ( c2_1 @ a1 )
   <= ~ ( c2_1 @ a1 ) ),
    inference(split,[status(esa)],[zip_derived_cl199]) ).

thf(zip_derived_cl1078,plain,
    ( ( ~ ( c1_1 @ a1 )
      | ~ ( c0_1 @ a1 ) )
   <= ( ~ ( c2_1 @ a1 )
      & ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X4: $i] :
          ( ( c2_1 @ X4 )
          | ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl790,zip_derived_cl747]) ).

thf('93',plain,
    ( ~ ( c0_1 @ a1 )
    | ~ ( c1_1 @ a1 )
    | ~ ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ( c2_1 @ a1 )
    | ~ ! [X4: $i] :
          ( ( c2_1 @ X4 )
          | ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl1078]) ).

thf(zip_derived_cl197,plain,
    ( ~ hskp0
    | ( c1_1 @ a1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('94',plain,
    ( ( c1_1 @ a1 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl197]) ).

thf('95',plain,
    ( ( c3_1 @ a1 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl198]) ).

thf(zip_derived_cl591_043,plain,
    ( ( c2_1 @ a40 )
   <= ( c2_1 @ a40 ) ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl43,plain,
    ! [X66: $i] :
      ( ( c0_1 @ X66 )
      | ~ ( c1_1 @ X66 )
      | ~ ( c2_1 @ X66 )
      | ~ ndr1_0
      | hskp13
      | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl361,plain,
    ( ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ~ ( c1_1 @ X66 )
        | ~ ( c2_1 @ X66 ) )
   <= ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ~ ( c1_1 @ X66 )
        | ~ ( c2_1 @ X66 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl1989,plain,
    ( ( ( c0_1 @ a40 )
      | ~ ( c1_1 @ a40 ) )
   <= ( ! [X66: $i] :
          ( ( c0_1 @ X66 )
          | ~ ( c1_1 @ X66 )
          | ~ ( c2_1 @ X66 ) )
      & ( c2_1 @ a40 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl591,zip_derived_cl361]) ).

thf('96',plain,
    ( ~ ! [X66: $i] :
          ( ( c0_1 @ X66 )
          | ~ ( c1_1 @ X66 )
          | ~ ( c2_1 @ X66 ) )
    | ~ ( c1_1 @ a40 )
    | ~ ( c2_1 @ a40 )
    | ( c0_1 @ a40 ) ),
    inference(split,[status(esa)],[zip_derived_cl1989]) ).

thf(zip_derived_cl3,plain,
    ( hskp17
    | hskp22
    | hskp19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('97',plain,
    ( hskp17
    | hskp22
    | hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl571_044,plain,
    ( ~ ( c3_1 @ a48 )
   <= ~ ( c3_1 @ a48 ) ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl238_045,plain,
    ( ! [X4: $i] :
        ( ( c2_1 @ X4 )
        | ( c3_1 @ X4 )
        | ~ ( c1_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c2_1 @ X4 )
        | ( c3_1 @ X4 )
        | ~ ( c1_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl853,plain,
    ( ( ( c2_1 @ a48 )
      | ~ ( c1_1 @ a48 ) )
   <= ( ~ ( c3_1 @ a48 )
      & ! [X4: $i] :
          ( ( c2_1 @ X4 )
          | ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl571,zip_derived_cl238]) ).

thf('98',plain,
    ( ( c2_1 @ a48 )
    | ( c3_1 @ a48 )
    | ~ ! [X4: $i] :
          ( ( c2_1 @ X4 )
          | ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 ) )
    | ~ ( c1_1 @ a48 ) ),
    inference(split,[status(esa)],[zip_derived_cl853]) ).

thf(zip_derived_cl109,plain,
    ( ~ hskp22
    | ( c1_1 @ a48 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('99',plain,
    ( ( c1_1 @ a48 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf('100',plain,
    ( ~ ( c3_1 @ a48 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl2627,plain,
    ( ( c2_1 @ a48 )
   <= ( c2_1 @ a48 ) ),
    inference(split,[status(esa)],[zip_derived_cl853]) ).

thf(zip_derived_cl273_046,plain,
    ( ! [X19: $i] :
        ( ~ ( c0_1 @ X19 )
        | ~ ( c1_1 @ X19 )
        | ~ ( c2_1 @ X19 ) )
   <= ! [X19: $i] :
        ( ~ ( c0_1 @ X19 )
        | ~ ( c1_1 @ X19 )
        | ~ ( c2_1 @ X19 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl2630,plain,
    ( ( ~ ( c0_1 @ a48 )
      | ~ ( c1_1 @ a48 ) )
   <= ( ! [X19: $i] :
          ( ~ ( c0_1 @ X19 )
          | ~ ( c1_1 @ X19 )
          | ~ ( c2_1 @ X19 ) )
      & ( c2_1 @ a48 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2627,zip_derived_cl273]) ).

thf('101',plain,
    ( ~ ( c0_1 @ a48 )
    | ~ ( c1_1 @ a48 )
    | ~ ! [X19: $i] :
          ( ~ ( c0_1 @ X19 )
          | ~ ( c1_1 @ X19 )
          | ~ ( c2_1 @ X19 ) )
    | ~ ( c2_1 @ a48 ) ),
    inference(split,[status(esa)],[zip_derived_cl2630]) ).

thf(zip_derived_cl2627_047,plain,
    ( ( c2_1 @ a48 )
   <= ( c2_1 @ a48 ) ),
    inference(split,[status(esa)],[zip_derived_cl853]) ).

thf(zip_derived_cl361_048,plain,
    ( ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ~ ( c1_1 @ X66 )
        | ~ ( c2_1 @ X66 ) )
   <= ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ~ ( c1_1 @ X66 )
        | ~ ( c2_1 @ X66 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl2631,plain,
    ( ( ( c0_1 @ a48 )
      | ~ ( c1_1 @ a48 ) )
   <= ( ! [X66: $i] :
          ( ( c0_1 @ X66 )
          | ~ ( c1_1 @ X66 )
          | ~ ( c2_1 @ X66 ) )
      & ( c2_1 @ a48 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2627,zip_derived_cl361]) ).

thf('102',plain,
    ( ~ ( c2_1 @ a48 )
    | ~ ! [X66: $i] :
          ( ( c0_1 @ X66 )
          | ~ ( c1_1 @ X66 )
          | ~ ( c2_1 @ X66 ) )
    | ~ ( c1_1 @ a48 )
    | ( c0_1 @ a48 ) ),
    inference(split,[status(esa)],[zip_derived_cl2631]) ).

thf(zip_derived_cl611_049,plain,
    ( ~ ( c3_1 @ a33 )
   <= ~ ( c3_1 @ a33 ) ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf(zip_derived_cl241_050,plain,
    ( ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ( c3_1 @ X5 )
        | ~ ( c0_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ( c3_1 @ X5 )
        | ~ ( c0_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl886,plain,
    ( ( ( c2_1 @ a33 )
      | ~ ( c0_1 @ a33 ) )
   <= ( ~ ( c3_1 @ a33 )
      & ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl611,zip_derived_cl241]) ).

thf('103',plain,
    ( ( c2_1 @ a33 )
    | ( c3_1 @ a33 )
    | ~ ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 ) )
    | ~ ( c0_1 @ a33 ) ),
    inference(split,[status(esa)],[zip_derived_cl886]) ).

thf(zip_derived_cl117,plain,
    ( ~ hskp20
    | ( c0_1 @ a43 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl583,plain,
    ( ( c0_1 @ a43 )
   <= ( c0_1 @ a43 ) ),
    inference(split,[status(esa)],[zip_derived_cl117]) ).

thf(zip_derived_cl798_051,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl797]) ).

thf(zip_derived_cl273_052,plain,
    ( ! [X19: $i] :
        ( ~ ( c0_1 @ X19 )
        | ~ ( c1_1 @ X19 )
        | ~ ( c2_1 @ X19 ) )
   <= ! [X19: $i] :
        ( ~ ( c0_1 @ X19 )
        | ~ ( c1_1 @ X19 )
        | ~ ( c2_1 @ X19 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl1067,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 ) )
      & ! [X19: $i] :
          ( ~ ( c0_1 @ X19 )
          | ~ ( c1_1 @ X19 )
          | ~ ( c2_1 @ X19 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl798,zip_derived_cl273]) ).

thf(zip_derived_cl1070,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c0_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 ) )
      & ! [X19: $i] :
          ( ~ ( c0_1 @ X19 )
          | ~ ( c1_1 @ X19 )
          | ~ ( c2_1 @ X19 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1067]) ).

thf(zip_derived_cl1605,plain,
    ( ~ ( c1_1 @ a43 )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 ) )
      & ! [X19: $i] :
          ( ~ ( c0_1 @ X19 )
          | ~ ( c1_1 @ X19 )
          | ~ ( c2_1 @ X19 ) )
      & ( c0_1 @ a43 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl583,zip_derived_cl1070]) ).

thf(zip_derived_cl118,plain,
    ( ~ hskp20
    | ( c1_1 @ a43 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl585,plain,
    ( ( c1_1 @ a43 )
   <= ( c1_1 @ a43 ) ),
    inference(split,[status(esa)],[zip_derived_cl118]) ).

thf('104',plain,
    ( ~ ( c0_1 @ a43 )
    | ~ ( c1_1 @ a43 )
    | ~ ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ! [X19: $i] :
          ( ~ ( c0_1 @ X19 )
          | ~ ( c1_1 @ X19 )
          | ~ ( c2_1 @ X19 ) )
    | ~ ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1605,zip_derived_cl585]) ).

thf(zip_derived_cl489_053,plain,
    ( ! [X127: $i] :
        ( ( c0_1 @ X127 )
        | ( c1_1 @ X127 )
        | ( c2_1 @ X127 ) )
   <= ! [X127: $i] :
        ( ( c0_1 @ X127 )
        | ( c1_1 @ X127 )
        | ( c2_1 @ X127 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl75]) ).

thf(zip_derived_cl675,plain,
    ( ~ ( c2_1 @ a15 )
   <= ~ ( c2_1 @ a15 ) ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl2382,plain,
    ( ( ( c1_1 @ a15 )
      | ( c0_1 @ a15 ) )
   <= ( ~ ( c2_1 @ a15 )
      & ! [X127: $i] :
          ( ( c0_1 @ X127 )
          | ( c1_1 @ X127 )
          | ( c2_1 @ X127 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl489,zip_derived_cl675]) ).

thf('105',plain,
    ( ~ ! [X127: $i] :
          ( ( c0_1 @ X127 )
          | ( c1_1 @ X127 )
          | ( c2_1 @ X127 ) )
    | ( c0_1 @ a15 )
    | ( c1_1 @ a15 )
    | ( c2_1 @ a15 ) ),
    inference(split,[status(esa)],[zip_derived_cl2382]) ).

thf(zip_derived_cl74,plain,
    ! [X124: $i,X125: $i,X126: $i] :
      ( ( c0_1 @ X124 )
      | ( c1_1 @ X124 )
      | ( c3_1 @ X124 )
      | ~ ndr1_0
      | ( c0_1 @ X125 )
      | ( c1_1 @ X125 )
      | ~ ( c2_1 @ X125 )
      | ~ ndr1_0
      | ( c2_1 @ X126 )
      | ( c3_1 @ X126 )
      | ~ ( c0_1 @ X126 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('106',plain,
    ( ! [X119: $i] :
        ( ( c0_1 @ X119 )
        | ( c1_1 @ X119 )
        | ( c3_1 @ X119 ) )
    | ! [X115: $i] :
        ( ( c0_1 @ X115 )
        | ( c1_1 @ X115 )
        | ~ ( c2_1 @ X115 ) )
    | ~ ndr1_0
    | ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ( c3_1 @ X5 )
        | ~ ( c0_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl74]) ).

thf(zip_derived_cl45,plain,
    ! [X68: $i] :
      ( ( c0_1 @ X68 )
      | ~ ( c1_1 @ X68 )
      | ~ ( c2_1 @ X68 )
      | ~ ndr1_0
      | hskp26
      | hskp16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('107',plain,
    ( hskp16
    | hskp26
    | ~ ndr1_0
    | ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ~ ( c1_1 @ X66 )
        | ~ ( c2_1 @ X66 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl283_054,plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ( c3_1 @ X23 )
        | ~ ( c2_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ( c3_1 @ X23 )
        | ~ ( c2_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl563,plain,
    ( ~ ( c3_1 @ a63 )
   <= ~ ( c3_1 @ a63 ) ),
    inference(split,[status(esa)],[zip_derived_cl107]) ).

thf(zip_derived_cl1209,plain,
    ( ( ~ ( c2_1 @ a63 )
      | ( c1_1 @ a63 ) )
   <= ( ~ ( c3_1 @ a63 )
      & ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ( c3_1 @ X23 )
          | ~ ( c2_1 @ X23 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl283,zip_derived_cl563]) ).

thf('108',plain,
    ( ~ ( c2_1 @ a63 )
    | ( c1_1 @ a63 )
    | ~ ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ( c3_1 @ X23 )
          | ~ ( c2_1 @ X23 ) )
    | ( c3_1 @ a63 ) ),
    inference(split,[status(esa)],[zip_derived_cl1209]) ).

thf('109',plain,
    ( ( c0_1 @ a32 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf('110',plain,
    ( ( c2_1 @ a32 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl135,plain,
    ( ~ hskp16
    | ~ ( c1_1 @ a32 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('111',plain,
    ( ~ ( c1_1 @ a32 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl135]) ).

thf(zip_derived_cl617_055,plain,
    ( ( c2_1 @ a32 )
   <= ( c2_1 @ a32 ) ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl261_056,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_cl18]) ).

thf(zip_derived_cl1687,plain,
    ( ( ( c1_1 @ a32 )
      | ~ ( c0_1 @ a32 ) )
   <= ( ! [X13: $i] :
          ( ( c1_1 @ X13 )
          | ~ ( c0_1 @ X13 )
          | ~ ( c2_1 @ X13 ) )
      & ( c2_1 @ a32 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl617,zip_derived_cl261]) ).

thf('112',plain,
    ( ~ ! [X13: $i] :
          ( ( c1_1 @ X13 )
          | ~ ( c0_1 @ X13 )
          | ~ ( c2_1 @ X13 ) )
    | ~ ( c0_1 @ a32 )
    | ( c1_1 @ a32 )
    | ~ ( c2_1 @ a32 ) ),
    inference(split,[status(esa)],[zip_derived_cl1687]) ).

thf(zip_derived_cl93,plain,
    ( ~ hskp26
    | ( c0_1 @ a4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('113',plain,
    ( ( c0_1 @ a4 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf(zip_derived_cl94,plain,
    ( ~ hskp26
    | ( c1_1 @ a4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('114',plain,
    ( ( c1_1 @ a4 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf(zip_derived_cl95,plain,
    ( ~ hskp26
    | ( c3_1 @ a4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('115',plain,
    ( ( c3_1 @ a4 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl539,plain,
    ( ( c3_1 @ a4 )
   <= ( c3_1 @ a4 ) ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl223_057,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl1527,plain,
    ( ( ~ ( c0_1 @ a4 )
      | ~ ( c1_1 @ a4 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c3_1 @ a4 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl539,zip_derived_cl223]) ).

thf('116',plain,
    ( ~ ( c0_1 @ a4 )
    | ~ ( c1_1 @ a4 )
    | ~ ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c3_1 @ a4 ) ),
    inference(split,[status(esa)],[zip_derived_cl1527]) ).

thf('117',plain,
    ( hskp12
    | ! [X16: $i] :
        ( ( c3_1 @ X16 )
        | ~ ( c0_1 @ X16 )
        | ~ ( c1_1 @ X16 ) )
    | ~ ndr1_0
    | ! [X13: $i] :
        ( ( c1_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c2_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl61,plain,
    ! [X95: $i,X96: $i,X97: $i] :
      ( ( c0_1 @ X95 )
      | ( c2_1 @ X95 )
      | ( c3_1 @ X95 )
      | ~ ndr1_0
      | ( c1_1 @ X96 )
      | ( c3_1 @ X96 )
      | ~ ( c2_1 @ X96 )
      | ~ ndr1_0
      | ( c3_1 @ X97 )
      | ~ ( c1_1 @ X97 )
      | ~ ( c2_1 @ X97 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('118',plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ( c3_1 @ X23 )
        | ~ ( c2_1 @ X23 ) )
    | ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c2_1 @ X1 ) )
    | ~ ndr1_0
    | ! [X93: $i] :
        ( ( c0_1 @ X93 )
        | ( c2_1 @ X93 )
        | ( c3_1 @ X93 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(zip_derived_cl270_058,plain,
    ( ! [X16: $i] :
        ( ( c3_1 @ X16 )
        | ~ ( c0_1 @ X16 )
        | ~ ( c1_1 @ X16 ) )
   <= ! [X16: $i] :
        ( ( c3_1 @ X16 )
        | ~ ( c0_1 @ X16 )
        | ~ ( c1_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl223_059,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl1029,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X16: $i] :
          ( ( c3_1 @ X16 )
          | ~ ( c0_1 @ X16 )
          | ~ ( c1_1 @ X16 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl270,zip_derived_cl223]) ).

thf(zip_derived_cl1051,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X16: $i] :
          ( ( c3_1 @ X16 )
          | ~ ( c0_1 @ X16 )
          | ~ ( c1_1 @ X16 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1029]) ).

thf(zip_derived_cl583_060,plain,
    ( ( c0_1 @ a43 )
   <= ( c0_1 @ a43 ) ),
    inference(split,[status(esa)],[zip_derived_cl117]) ).

thf(zip_derived_cl2421,plain,
    ( ~ ( c1_1 @ a43 )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X16: $i] :
          ( ( c3_1 @ X16 )
          | ~ ( c0_1 @ X16 )
          | ~ ( c1_1 @ X16 ) )
      & ( c0_1 @ a43 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1051,zip_derived_cl583]) ).

thf(zip_derived_cl585_061,plain,
    ( ( c1_1 @ a43 )
   <= ( c1_1 @ a43 ) ),
    inference(split,[status(esa)],[zip_derived_cl118]) ).

thf('119',plain,
    ( ~ ( c0_1 @ a43 )
    | ~ ( c1_1 @ a43 )
    | ~ ! [X16: $i] :
          ( ( c3_1 @ X16 )
          | ~ ( c0_1 @ X16 )
          | ~ ( c1_1 @ X16 ) )
    | ~ ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2421,zip_derived_cl585]) ).

thf(zip_derived_cl329_062,plain,
    ( ! [X51: $i] :
        ( ( c1_1 @ X51 )
        | ( c2_1 @ X51 )
        | ( c3_1 @ X51 ) )
   <= ! [X51: $i] :
        ( ( c1_1 @ X51 )
        | ( c2_1 @ X51 )
        | ( c3_1 @ X51 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl151,plain,
    ( ~ hskp12
    | ~ ( c3_1 @ a20 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl651,plain,
    ( ~ ( c3_1 @ a20 )
   <= ~ ( c3_1 @ a20 ) ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl1955,plain,
    ( ( ( c2_1 @ a20 )
      | ( c1_1 @ a20 ) )
   <= ( ~ ( c3_1 @ a20 )
      & ! [X51: $i] :
          ( ( c1_1 @ X51 )
          | ( c2_1 @ X51 )
          | ( c3_1 @ X51 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl329,zip_derived_cl651]) ).

thf('120',plain,
    ( ( c1_1 @ a20 )
    | ( c3_1 @ a20 )
    | ~ ! [X51: $i] :
          ( ( c1_1 @ X51 )
          | ( c2_1 @ X51 )
          | ( c3_1 @ X51 ) )
    | ( c2_1 @ a20 ) ),
    inference(split,[status(esa)],[zip_derived_cl1955]) ).

thf(zip_derived_cl36,plain,
    ! [X52: $i,X53: $i] :
      ( ( c1_1 @ X52 )
      | ( c2_1 @ X52 )
      | ( c3_1 @ X52 )
      | ~ ndr1_0
      | ( c1_1 @ X53 )
      | ~ ( c0_1 @ X53 )
      | ~ ( c2_1 @ X53 )
      | ~ ndr1_0
      | hskp20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('121',plain,
    ( ! [X51: $i] :
        ( ( c1_1 @ X51 )
        | ( c2_1 @ X51 )
        | ( c3_1 @ X51 ) )
    | hskp20
    | ~ ndr1_0
    | ! [X13: $i] :
        ( ( c1_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c2_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl651_063,plain,
    ( ~ ( c3_1 @ a20 )
   <= ~ ( c3_1 @ a20 ) ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl238_064,plain,
    ( ! [X4: $i] :
        ( ( c2_1 @ X4 )
        | ( c3_1 @ X4 )
        | ~ ( c1_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c2_1 @ X4 )
        | ( c3_1 @ X4 )
        | ~ ( c1_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl935,plain,
    ( ( ( c2_1 @ a20 )
      | ~ ( c1_1 @ a20 ) )
   <= ( ~ ( c3_1 @ a20 )
      & ! [X4: $i] :
          ( ( c2_1 @ X4 )
          | ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl651,zip_derived_cl238]) ).

thf('122',plain,
    ( ~ ( c1_1 @ a20 )
    | ( c2_1 @ a20 )
    | ~ ! [X4: $i] :
          ( ( c2_1 @ X4 )
          | ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 ) )
    | ( c3_1 @ a20 ) ),
    inference(split,[status(esa)],[zip_derived_cl935]) ).

thf(zip_derived_cl283_065,plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ( c3_1 @ X23 )
        | ~ ( c2_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ( c3_1 @ X23 )
        | ~ ( c2_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl611_066,plain,
    ( ~ ( c3_1 @ a33 )
   <= ~ ( c3_1 @ a33 ) ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf(zip_derived_cl1205,plain,
    ( ( ~ ( c2_1 @ a33 )
      | ( c1_1 @ a33 ) )
   <= ( ~ ( c3_1 @ a33 )
      & ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ( c3_1 @ X23 )
          | ~ ( c2_1 @ X23 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl283,zip_derived_cl611]) ).

thf('123',plain,
    ( ~ ( c2_1 @ a33 )
    | ( c3_1 @ a33 )
    | ~ ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ( c3_1 @ X23 )
          | ~ ( c2_1 @ X23 ) )
    | ( c1_1 @ a33 ) ),
    inference(split,[status(esa)],[zip_derived_cl1205]) ).

thf('124',plain,
    ( ~ ( c3_1 @ a33 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf(zip_derived_cl54,plain,
    ! [X86: $i,X87: $i] :
      ( ( c0_1 @ X86 )
      | ( c2_1 @ X86 )
      | ~ ( c3_1 @ X86 )
      | ~ ndr1_0
      | ( c0_1 @ X87 )
      | ~ ( c2_1 @ X87 )
      | ~ ( c3_1 @ X87 )
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('125',plain,
    ( ! [X54: $i] :
        ( ( c0_1 @ X54 )
        | ~ ( c2_1 @ X54 )
        | ~ ( c3_1 @ X54 ) )
    | ! [X84: $i] :
        ( ( c0_1 @ X84 )
        | ( c2_1 @ X84 )
        | ~ ( c3_1 @ X84 ) )
    | ~ ndr1_0
    | hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf(zip_derived_cl31,plain,
    ! [X40: $i,X41: $i,X42: $i] :
      ( ( c1_1 @ X40 )
      | ( c2_1 @ X40 )
      | ~ ( c3_1 @ X40 )
      | ~ ndr1_0
      | ( c1_1 @ X41 )
      | ~ ( c2_1 @ X41 )
      | ~ ( c3_1 @ X41 )
      | ~ ndr1_0
      | ( c3_1 @ X42 )
      | ~ ( c0_1 @ X42 )
      | ~ ( c1_1 @ X42 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('126',plain,
    ( ! [X11: $i] :
        ( ( c1_1 @ X11 )
        | ~ ( c2_1 @ X11 )
        | ~ ( c3_1 @ X11 ) )
    | ! [X38: $i] :
        ( ( c1_1 @ X38 )
        | ( c2_1 @ X38 )
        | ~ ( c3_1 @ X38 ) )
    | ~ ndr1_0
    | ! [X16: $i] :
        ( ( c3_1 @ X16 )
        | ~ ( c0_1 @ X16 )
        | ~ ( c1_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl31]) ).

thf(zip_derived_cl727_067,plain,
    ( ( c3_1 @ a3 )
   <= ( c3_1 @ a3 ) ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf(zip_derived_cl402_068,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_cl53]) ).

thf(zip_derived_cl2109,plain,
    ( ( ( c0_1 @ a3 )
      | ( c2_1 @ a3 ) )
   <= ( ! [X84: $i] :
          ( ( c0_1 @ X84 )
          | ( c2_1 @ X84 )
          | ~ ( c3_1 @ X84 ) )
      & ( c3_1 @ a3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl727,zip_derived_cl402]) ).

thf('127',plain,
    ( ( c0_1 @ a3 )
    | ~ ! [X84: $i] :
          ( ( c0_1 @ X84 )
          | ( c2_1 @ X84 )
          | ~ ( c3_1 @ X84 ) )
    | ( c2_1 @ a3 )
    | ~ ( c3_1 @ a3 ) ),
    inference(split,[status(esa)],[zip_derived_cl2109]) ).

thf(zip_derived_cl63,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
      | hskp2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('128',plain,
    ( hskp2
    | ! [X11: $i] :
        ( ( c1_1 @ X11 )
        | ~ ( c2_1 @ X11 )
        | ~ ( c3_1 @ X11 ) )
    | ~ ndr1_0
    | ! [X98: $i] :
        ( ( c0_1 @ X98 )
        | ( c1_1 @ X98 )
        | ~ ( c3_1 @ X98 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl63]) ).

thf(zip_derived_cl114,plain,
    ( ~ hskp21
    | ( c3_1 @ a47 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl577,plain,
    ( ( c3_1 @ a47 )
   <= ( c3_1 @ a47 ) ),
    inference(split,[status(esa)],[zip_derived_cl114]) ).

thf(zip_derived_cl258_069,plain,
    ( ! [X11: $i] :
        ( ( c1_1 @ X11 )
        | ~ ( c2_1 @ X11 )
        | ~ ( c3_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c1_1 @ X11 )
        | ~ ( c2_1 @ X11 )
        | ~ ( c3_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl1592,plain,
    ( ( ( c1_1 @ a47 )
      | ~ ( c2_1 @ a47 ) )
   <= ( ! [X11: $i] :
          ( ( c1_1 @ X11 )
          | ~ ( c2_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
      & ( c3_1 @ a47 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl577,zip_derived_cl258]) ).

thf('129',plain,
    ( ( c1_1 @ a47 )
    | ~ ( c2_1 @ a47 )
    | ~ ! [X11: $i] :
          ( ( c1_1 @ X11 )
          | ~ ( c2_1 @ X11 )
          | ~ ( c3_1 @ X11 ) )
    | ~ ( c3_1 @ a47 ) ),
    inference(split,[status(esa)],[zip_derived_cl1592]) ).

thf(zip_derived_cl577_070,plain,
    ( ( c3_1 @ a47 )
   <= ( c3_1 @ a47 ) ),
    inference(split,[status(esa)],[zip_derived_cl114]) ).

thf(zip_derived_cl437_071,plain,
    ( ! [X98: $i] :
        ( ( c0_1 @ X98 )
        | ( c1_1 @ X98 )
        | ~ ( c3_1 @ X98 ) )
   <= ! [X98: $i] :
        ( ( c0_1 @ X98 )
        | ( c1_1 @ X98 )
        | ~ ( c3_1 @ X98 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf(zip_derived_cl2155,plain,
    ( ( ( c0_1 @ a47 )
      | ( c1_1 @ a47 ) )
   <= ( ! [X98: $i] :
          ( ( c0_1 @ X98 )
          | ( c1_1 @ X98 )
          | ~ ( c3_1 @ X98 ) )
      & ( c3_1 @ a47 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl577,zip_derived_cl437]) ).

thf('130',plain,
    ( ( c1_1 @ a47 )
    | ( c0_1 @ a47 )
    | ~ ! [X98: $i] :
          ( ( c0_1 @ X98 )
          | ( c1_1 @ X98 )
          | ~ ( c3_1 @ X98 ) )
    | ~ ( c3_1 @ a47 ) ),
    inference(split,[status(esa)],[zip_derived_cl2155]) ).

thf(zip_derived_cl113,plain,
    ( ~ hskp21
    | ( c2_1 @ a47 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl575,plain,
    ( ( c2_1 @ a47 )
   <= ( c2_1 @ a47 ) ),
    inference(split,[status(esa)],[zip_derived_cl113]) ).

thf(zip_derived_cl361_072,plain,
    ( ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ~ ( c1_1 @ X66 )
        | ~ ( c2_1 @ X66 ) )
   <= ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ~ ( c1_1 @ X66 )
        | ~ ( c2_1 @ X66 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl1990,plain,
    ( ( ( c0_1 @ a47 )
      | ~ ( c1_1 @ a47 ) )
   <= ( ! [X66: $i] :
          ( ( c0_1 @ X66 )
          | ~ ( c1_1 @ X66 )
          | ~ ( c2_1 @ X66 ) )
      & ( c2_1 @ a47 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl575,zip_derived_cl361]) ).

thf('131',plain,
    ( ~ ( c1_1 @ a47 )
    | ~ ( c2_1 @ a47 )
    | ~ ! [X66: $i] :
          ( ( c0_1 @ X66 )
          | ~ ( c1_1 @ X66 )
          | ~ ( c2_1 @ X66 ) )
    | ( c0_1 @ a47 ) ),
    inference(split,[status(esa)],[zip_derived_cl1990]) ).

thf('132',plain,
    ( hskp21
    | hskp11
    | ~ ndr1_0
    | ! [X13: $i] :
        ( ( c1_1 @ X13 )
        | ~ ( c0_1 @ X13 )
        | ~ ( c2_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl1051_073,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X16: $i] :
          ( ( c3_1 @ X16 )
          | ~ ( c0_1 @ X16 )
          | ~ ( c1_1 @ X16 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1029]) ).

thf(zip_derived_cl519_074,plain,
    ( ( c0_1 @ a23 )
   <= ( c0_1 @ a23 ) ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf(zip_derived_cl2424,plain,
    ( ~ ( c1_1 @ a23 )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X16: $i] :
          ( ( c3_1 @ X16 )
          | ~ ( c0_1 @ X16 )
          | ~ ( c1_1 @ X16 ) )
      & ( c0_1 @ a23 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1051,zip_derived_cl519]) ).

thf(zip_derived_cl521_075,plain,
    ( ( c1_1 @ a23 )
   <= ( c1_1 @ a23 ) ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf('133',plain,
    ( ~ ! [X16: $i] :
          ( ( c3_1 @ X16 )
          | ~ ( c0_1 @ X16 )
          | ~ ( c1_1 @ X16 ) )
    | ~ ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c1_1 @ a23 )
    | ~ ( c0_1 @ a23 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2424,zip_derived_cl521]) ).

thf(zip_derived_cl51,plain,
    ! [X79: $i,X80: $i] :
      ( ( c0_1 @ X79 )
      | ( c3_1 @ X79 )
      | ~ ( c1_1 @ X79 )
      | ~ ndr1_0
      | ( c3_1 @ X80 )
      | ~ ( c0_1 @ X80 )
      | ~ ( c2_1 @ X80 )
      | ~ ndr1_0
      | hskp14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('134',plain,
    ( hskp14
    | ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c3_1 @ X75 )
        | ~ ( c1_1 @ X75 ) )
    | ~ ndr1_0
    | ! [X2: $i] :
        ( ( c3_1 @ X2 )
        | ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf(zip_derived_cl87,plain,
    ( ~ hskp28
    | ( c2_1 @ a23 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl523,plain,
    ( ( c2_1 @ a23 )
   <= ( c2_1 @ a23 ) ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl230_076,plain,
    ( ! [X2: $i] :
        ( ( c3_1 @ X2 )
        | ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ( c3_1 @ X2 )
        | ~ ( c0_1 @ X2 )
        | ~ ( c2_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl223_077,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl771,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X2: $i] :
          ( ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl230,zip_derived_cl223]) ).

thf(zip_derived_cl772,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X2: $i] :
          ( ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl771]) ).

thf(zip_derived_cl1468,plain,
    ( ( ~ ( c1_1 @ a23 )
      | ~ ( c0_1 @ a23 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X2: $i] :
          ( ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ( c2_1 @ a23 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl523,zip_derived_cl772]) ).

thf('135',plain,
    ( ~ ! [X2: $i] :
          ( ( c3_1 @ X2 )
          | ~ ( c0_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
    | ~ ( c0_1 @ a23 )
    | ~ ( c1_1 @ a23 )
    | ~ ( c2_1 @ a23 )
    | ~ ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl1468]) ).

thf('136',plain,
    ( hskp28
    | ! [X76: $i] :
        ( ~ ( c1_1 @ X76 )
        | ~ ( c2_1 @ X76 )
        | ~ ( c3_1 @ X76 ) )
    | ~ ndr1_0
    | ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c3_1 @ X75 )
        | ~ ( c1_1 @ X75 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl386_078,plain,
    ( ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c3_1 @ X75 )
        | ~ ( c1_1 @ X75 ) )
   <= ! [X75: $i] :
        ( ( c0_1 @ X75 )
        | ( c3_1 @ X75 )
        | ~ ( c1_1 @ X75 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl595_079,plain,
    ( ~ ( c3_1 @ a40 )
   <= ~ ( c3_1 @ a40 ) ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl2204,plain,
    ( ( ~ ( c1_1 @ a40 )
      | ( c0_1 @ a40 ) )
   <= ( ~ ( c3_1 @ a40 )
      & ! [X75: $i] :
          ( ( c0_1 @ X75 )
          | ( c3_1 @ X75 )
          | ~ ( c1_1 @ X75 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl386,zip_derived_cl595]) ).

thf('137',plain,
    ( ~ ! [X75: $i] :
          ( ( c0_1 @ X75 )
          | ( c3_1 @ X75 )
          | ~ ( c1_1 @ X75 ) )
    | ~ ( c1_1 @ a40 )
    | ( c0_1 @ a40 )
    | ( c3_1 @ a40 ) ),
    inference(split,[status(esa)],[zip_derived_cl2204]) ).

thf(zip_derived_cl283_080,plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ( c3_1 @ X23 )
        | ~ ( c2_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ( c3_1 @ X23 )
        | ~ ( c2_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl595_081,plain,
    ( ~ ( c3_1 @ a40 )
   <= ~ ( c3_1 @ a40 ) ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl1206,plain,
    ( ( ~ ( c2_1 @ a40 )
      | ( c1_1 @ a40 ) )
   <= ( ~ ( c3_1 @ a40 )
      & ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ( c3_1 @ X23 )
          | ~ ( c2_1 @ X23 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl283,zip_derived_cl595]) ).

thf('138',plain,
    ( ( c1_1 @ a40 )
    | ( c3_1 @ a40 )
    | ~ ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ( c3_1 @ X23 )
          | ~ ( c2_1 @ X23 ) )
    | ~ ( c2_1 @ a40 ) ),
    inference(split,[status(esa)],[zip_derived_cl1206]) ).

thf(zip_derived_cl0,plain,
    ( hskp11
    | hskp21
    | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('139',plain,
    ( hskp12
    | hskp21
    | hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf(zip_derived_cl91,plain,
    ( ~ hskp27
    | ( c3_1 @ a13 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl531,plain,
    ( ( c3_1 @ a13 )
   <= ( c3_1 @ a13 ) ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl437_082,plain,
    ( ! [X98: $i] :
        ( ( c0_1 @ X98 )
        | ( c1_1 @ X98 )
        | ~ ( c3_1 @ X98 ) )
   <= ! [X98: $i] :
        ( ( c0_1 @ X98 )
        | ( c1_1 @ X98 )
        | ~ ( c3_1 @ X98 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf(zip_derived_cl2158,plain,
    ( ( ( c0_1 @ a13 )
      | ( c1_1 @ a13 ) )
   <= ( ! [X98: $i] :
          ( ( c0_1 @ X98 )
          | ( c1_1 @ X98 )
          | ~ ( c3_1 @ X98 ) )
      & ( c3_1 @ a13 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl531,zip_derived_cl437]) ).

thf('140',plain,
    ( ( c0_1 @ a13 )
    | ~ ( c3_1 @ a13 )
    | ~ ! [X98: $i] :
          ( ( c0_1 @ X98 )
          | ( c1_1 @ X98 )
          | ~ ( c3_1 @ X98 ) )
    | ( c1_1 @ a13 ) ),
    inference(split,[status(esa)],[zip_derived_cl2158]) ).

thf(zip_derived_cl56,plain,
    ! [X89: $i] :
      ( ( c0_1 @ X89 )
      | ( c2_1 @ X89 )
      | ~ ( c1_1 @ X89 )
      | ~ ndr1_0
      | hskp11
      | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('141',plain,
    ( hskp12
    | hskp11
    | ! [X88: $i] :
        ( ( c0_1 @ X88 )
        | ( c2_1 @ X88 )
        | ~ ( c1_1 @ X88 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl56]) ).

thf(zip_derived_cl531_083,plain,
    ( ( c3_1 @ a13 )
   <= ( c3_1 @ a13 ) ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl321_084,plain,
    ( ! [X47: $i] :
        ( ~ ( c0_1 @ X47 )
        | ~ ( c2_1 @ X47 )
        | ~ ( c3_1 @ X47 ) )
   <= ! [X47: $i] :
        ( ~ ( c0_1 @ X47 )
        | ~ ( c2_1 @ X47 )
        | ~ ( c3_1 @ X47 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl1481,plain,
    ( ( ~ ( c0_1 @ a13 )
      | ~ ( c2_1 @ a13 ) )
   <= ( ! [X47: $i] :
          ( ~ ( c0_1 @ X47 )
          | ~ ( c2_1 @ X47 )
          | ~ ( c3_1 @ X47 ) )
      & ( c3_1 @ a13 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl531,zip_derived_cl321]) ).

thf(zip_derived_cl2691,plain,
    ( ~ ( c2_1 @ a13 )
   <= ~ ( c2_1 @ a13 ) ),
    inference(split,[status(esa)],[zip_derived_cl1481]) ).

thf(zip_derived_cl409_085,plain,
    ( ! [X88: $i] :
        ( ( c0_1 @ X88 )
        | ( c2_1 @ X88 )
        | ~ ( c1_1 @ X88 ) )
   <= ! [X88: $i] :
        ( ( c0_1 @ X88 )
        | ( c2_1 @ X88 )
        | ~ ( c1_1 @ X88 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf(zip_derived_cl2694,plain,
    ( ( ( c0_1 @ a13 )
      | ~ ( c1_1 @ a13 ) )
   <= ( ~ ( c2_1 @ a13 )
      & ! [X88: $i] :
          ( ( c0_1 @ X88 )
          | ( c2_1 @ X88 )
          | ~ ( c1_1 @ X88 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2691,zip_derived_cl409]) ).

thf('142',plain,
    ( ~ ( c1_1 @ a13 )
    | ( c2_1 @ a13 )
    | ~ ! [X88: $i] :
          ( ( c0_1 @ X88 )
          | ( c2_1 @ X88 )
          | ~ ( c1_1 @ X88 ) )
    | ( c0_1 @ a13 ) ),
    inference(split,[status(esa)],[zip_derived_cl2694]) ).

thf(zip_derived_cl153,plain,
    ( ~ hskp11
    | ( c1_1 @ a19 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('143',plain,
    ( ( c1_1 @ a19 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl154,plain,
    ( ~ hskp11
    | ( c2_1 @ a19 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('144',plain,
    ( ( c2_1 @ a19 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl155,plain,
    ( ~ hskp11
    | ~ ( c0_1 @ a19 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('145',plain,
    ( ~ ( c0_1 @ a19 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf(zip_derived_cl657,plain,
    ( ( c2_1 @ a19 )
   <= ( c2_1 @ a19 ) ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl361_086,plain,
    ( ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ~ ( c1_1 @ X66 )
        | ~ ( c2_1 @ X66 ) )
   <= ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ~ ( c1_1 @ X66 )
        | ~ ( c2_1 @ X66 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl1986,plain,
    ( ( ( c0_1 @ a19 )
      | ~ ( c1_1 @ a19 ) )
   <= ( ! [X66: $i] :
          ( ( c0_1 @ X66 )
          | ~ ( c1_1 @ X66 )
          | ~ ( c2_1 @ X66 ) )
      & ( c2_1 @ a19 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl657,zip_derived_cl361]) ).

thf('146',plain,
    ( ~ ! [X66: $i] :
          ( ( c0_1 @ X66 )
          | ~ ( c1_1 @ X66 )
          | ~ ( c2_1 @ X66 ) )
    | ~ ( c1_1 @ a19 )
    | ~ ( c2_1 @ a19 )
    | ( c0_1 @ a19 ) ),
    inference(split,[status(esa)],[zip_derived_cl1986]) ).

thf(zip_derived_cl531_087,plain,
    ( ( c3_1 @ a13 )
   <= ( c3_1 @ a13 ) ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl385,plain,
    ( ! [X76: $i] :
        ( ~ ( c1_1 @ X76 )
        | ~ ( c2_1 @ X76 )
        | ~ ( c3_1 @ X76 ) )
   <= ! [X76: $i] :
        ( ~ ( c1_1 @ X76 )
        | ~ ( c2_1 @ X76 )
        | ~ ( c3_1 @ X76 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl1482,plain,
    ( ( ~ ( c1_1 @ a13 )
      | ~ ( c2_1 @ a13 ) )
   <= ( ! [X76: $i] :
          ( ~ ( c1_1 @ X76 )
          | ~ ( c2_1 @ X76 )
          | ~ ( c3_1 @ X76 ) )
      & ( c3_1 @ a13 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl531,zip_derived_cl385]) ).

thf('147',plain,
    ( ~ ( c3_1 @ a13 )
    | ~ ( c1_1 @ a13 )
    | ~ ! [X76: $i] :
          ( ~ ( c1_1 @ X76 )
          | ~ ( c2_1 @ X76 )
          | ~ ( c3_1 @ X76 ) )
    | ~ ( c2_1 @ a13 ) ),
    inference(split,[status(esa)],[zip_derived_cl1482]) ).

thf(zip_derived_cl119,plain,
    ( ~ hskp20
    | ~ ( c3_1 @ a43 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl587,plain,
    ( ~ ( c3_1 @ a43 )
   <= ~ ( c3_1 @ a43 ) ),
    inference(split,[status(esa)],[zip_derived_cl119]) ).

thf(zip_derived_cl238_088,plain,
    ( ! [X4: $i] :
        ( ( c2_1 @ X4 )
        | ( c3_1 @ X4 )
        | ~ ( c1_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c2_1 @ X4 )
        | ( c3_1 @ X4 )
        | ~ ( c1_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl861,plain,
    ( ( ( c2_1 @ a43 )
      | ~ ( c1_1 @ a43 ) )
   <= ( ~ ( c3_1 @ a43 )
      & ! [X4: $i] :
          ( ( c2_1 @ X4 )
          | ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl587,zip_derived_cl238]) ).

thf('148',plain,
    ( ( c2_1 @ a43 )
    | ~ ( c1_1 @ a43 )
    | ~ ! [X4: $i] :
          ( ( c2_1 @ X4 )
          | ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 ) )
    | ( c3_1 @ a43 ) ),
    inference(split,[status(esa)],[zip_derived_cl861]) ).

thf('149',plain,
    ( ~ ( c3_1 @ a43 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl119]) ).

thf(zip_derived_cl66,plain,
    ! [X107: $i,X108: $i,X109: $i] :
      ( ( c0_1 @ X107 )
      | ( c1_1 @ X107 )
      | ~ ( c3_1 @ X107 )
      | ~ ndr1_0
      | ( c0_1 @ X108 )
      | ~ ( c2_1 @ X108 )
      | ~ ( c3_1 @ X108 )
      | ~ ndr1_0
      | ( c1_1 @ X109 )
      | ( c3_1 @ X109 )
      | ~ ( c2_1 @ X109 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('150',plain,
    ( ! [X54: $i] :
        ( ( c0_1 @ X54 )
        | ~ ( c2_1 @ X54 )
        | ~ ( c3_1 @ X54 ) )
    | ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ( c3_1 @ X23 )
        | ~ ( c2_1 @ X23 ) )
    | ~ ndr1_0
    | ! [X98: $i] :
        ( ( c0_1 @ X98 )
        | ( c1_1 @ X98 )
        | ~ ( c3_1 @ X98 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf('151',plain,
    ( hskp21
    | ! [X38: $i] :
        ( ( c1_1 @ X38 )
        | ( c2_1 @ X38 )
        | ~ ( c3_1 @ X38 ) )
    | ~ ndr1_0
    | ! [X19: $i] :
        ( ~ ( c0_1 @ X19 )
        | ~ ( c1_1 @ X19 )
        | ~ ( c2_1 @ X19 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl727_089,plain,
    ( ( c3_1 @ a3 )
   <= ( c3_1 @ a3 ) ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf(zip_derived_cl437_090,plain,
    ( ! [X98: $i] :
        ( ( c0_1 @ X98 )
        | ( c1_1 @ X98 )
        | ~ ( c3_1 @ X98 ) )
   <= ! [X98: $i] :
        ( ( c0_1 @ X98 )
        | ( c1_1 @ X98 )
        | ~ ( c3_1 @ X98 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf(zip_derived_cl2149,plain,
    ( ( ( c0_1 @ a3 )
      | ( c1_1 @ a3 ) )
   <= ( ! [X98: $i] :
          ( ( c0_1 @ X98 )
          | ( c1_1 @ X98 )
          | ~ ( c3_1 @ X98 ) )
      & ( c3_1 @ a3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl727,zip_derived_cl437]) ).

thf('152',plain,
    ( ( c0_1 @ a3 )
    | ( c1_1 @ a3 )
    | ~ ! [X98: $i] :
          ( ( c0_1 @ X98 )
          | ( c1_1 @ X98 )
          | ~ ( c3_1 @ X98 ) )
    | ~ ( c3_1 @ a3 ) ),
    inference(split,[status(esa)],[zip_derived_cl2149]) ).

thf(zip_derived_cl32,plain,
    ! [X43: $i,X44: $i] :
      ( ( c1_1 @ X43 )
      | ( c2_1 @ X43 )
      | ~ ( c0_1 @ X43 )
      | ~ ndr1_0
      | ( c1_1 @ X44 )
      | ~ ( c2_1 @ X44 )
      | ~ ( c3_1 @ X44 )
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl318,plain,
    ( ! [X43: $i] :
        ( ( c1_1 @ X43 )
        | ( c2_1 @ X43 )
        | ~ ( c0_1 @ X43 ) )
   <= ! [X43: $i] :
        ( ( c1_1 @ X43 )
        | ( c2_1 @ X43 )
        | ~ ( c0_1 @ X43 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl191,plain,
    ( ~ hskp2
    | ~ ( c2_1 @ a3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl731,plain,
    ( ~ ( c2_1 @ a3 )
   <= ~ ( c2_1 @ a3 ) ),
    inference(split,[status(esa)],[zip_derived_cl191]) ).

thf(zip_derived_cl1732,plain,
    ( ( ~ ( c0_1 @ a3 )
      | ( c1_1 @ a3 ) )
   <= ( ~ ( c2_1 @ a3 )
      & ! [X43: $i] :
          ( ( c1_1 @ X43 )
          | ( c2_1 @ X43 )
          | ~ ( c0_1 @ X43 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl318,zip_derived_cl731]) ).

thf('153',plain,
    ( ~ ( c0_1 @ a3 )
    | ~ ! [X43: $i] :
          ( ( c1_1 @ X43 )
          | ( c2_1 @ X43 )
          | ~ ( c0_1 @ X43 ) )
    | ( c1_1 @ a3 )
    | ( c2_1 @ a3 ) ),
    inference(split,[status(esa)],[zip_derived_cl1732]) ).

thf(zip_derived_cl727_091,plain,
    ( ( c3_1 @ a3 )
   <= ( c3_1 @ a3 ) ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf(zip_derived_cl310_092,plain,
    ( ! [X38: $i] :
        ( ( c1_1 @ X38 )
        | ( c2_1 @ X38 )
        | ~ ( c3_1 @ X38 ) )
   <= ! [X38: $i] :
        ( ( c1_1 @ X38 )
        | ( c2_1 @ X38 )
        | ~ ( c3_1 @ X38 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl1843,plain,
    ( ( ( c1_1 @ a3 )
      | ( c2_1 @ a3 ) )
   <= ( ! [X38: $i] :
          ( ( c1_1 @ X38 )
          | ( c2_1 @ X38 )
          | ~ ( c3_1 @ X38 ) )
      & ( c3_1 @ a3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl727,zip_derived_cl310]) ).

thf('154',plain,
    ( ~ ! [X38: $i] :
          ( ( c1_1 @ X38 )
          | ( c2_1 @ X38 )
          | ~ ( c3_1 @ X38 ) )
    | ( c2_1 @ a3 )
    | ( c1_1 @ a3 )
    | ~ ( c3_1 @ a3 ) ),
    inference(split,[status(esa)],[zip_derived_cl1843]) ).

thf('155',plain,
    ( ( c3_1 @ a3 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf(zip_derived_cl190,plain,
    ( ~ hskp2
    | ~ ( c1_1 @ a3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('156',plain,
    ( ~ ( c1_1 @ a3 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl190]) ).

thf('157',plain,
    ( ~ ( c2_1 @ a3 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl191]) ).

thf('158',plain,
    ( hskp2
    | hskp6
    | ~ ndr1_0
    | ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c2_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl798_093,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl797]) ).

thf(zip_derived_cl175,plain,
    ( ~ hskp6
    | ~ ( c2_1 @ a10 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl699,plain,
    ( ~ ( c2_1 @ a10 )
   <= ~ ( c2_1 @ a10 ) ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl992,plain,
    ( ( ~ ( c0_1 @ a10 )
      | ~ ( c1_1 @ a10 ) )
   <= ( ~ ( c2_1 @ a10 )
      & ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl798,zip_derived_cl699]) ).

thf('159',plain,
    ( ~ ( c1_1 @ a10 )
    | ~ ( c0_1 @ a10 )
    | ~ ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 ) )
    | ( c2_1 @ a10 ) ),
    inference(split,[status(esa)],[zip_derived_cl992]) ).

thf(zip_derived_cl173,plain,
    ( ~ hskp6
    | ( c0_1 @ a10 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('160',plain,
    ( ( c0_1 @ a10 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl173]) ).

thf('161',plain,
    ( ~ ( c2_1 @ a10 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl318_094,plain,
    ( ! [X43: $i] :
        ( ( c1_1 @ X43 )
        | ( c2_1 @ X43 )
        | ~ ( c0_1 @ X43 ) )
   <= ! [X43: $i] :
        ( ( c1_1 @ X43 )
        | ( c2_1 @ X43 )
        | ~ ( c0_1 @ X43 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl699_095,plain,
    ( ~ ( c2_1 @ a10 )
   <= ~ ( c2_1 @ a10 ) ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl1735,plain,
    ( ( ~ ( c0_1 @ a10 )
      | ( c1_1 @ a10 ) )
   <= ( ~ ( c2_1 @ a10 )
      & ! [X43: $i] :
          ( ( c1_1 @ X43 )
          | ( c2_1 @ X43 )
          | ~ ( c0_1 @ X43 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl318,zip_derived_cl699]) ).

thf('162',plain,
    ( ~ ( c0_1 @ a10 )
    | ( c2_1 @ a10 )
    | ~ ! [X43: $i] :
          ( ( c1_1 @ X43 )
          | ( c2_1 @ X43 )
          | ~ ( c0_1 @ X43 ) )
    | ( c1_1 @ a10 ) ),
    inference(split,[status(esa)],[zip_derived_cl1735]) ).

thf(zip_derived_cl531_096,plain,
    ( ( c3_1 @ a13 )
   <= ( c3_1 @ a13 ) ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl223_097,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl1477,plain,
    ( ( ~ ( c0_1 @ a13 )
      | ~ ( c1_1 @ a13 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c3_1 @ a13 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl531,zip_derived_cl223]) ).

thf('163',plain,
    ( ~ ( c3_1 @ a13 )
    | ~ ( c1_1 @ a13 )
    | ~ ( c0_1 @ a13 )
    | ~ ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl1477]) ).

thf(zip_derived_cl2691_098,plain,
    ( ~ ( c2_1 @ a13 )
   <= ~ ( c2_1 @ a13 ) ),
    inference(split,[status(esa)],[zip_derived_cl1481]) ).

thf(zip_derived_cl318_099,plain,
    ( ! [X43: $i] :
        ( ( c1_1 @ X43 )
        | ( c2_1 @ X43 )
        | ~ ( c0_1 @ X43 ) )
   <= ! [X43: $i] :
        ( ( c1_1 @ X43 )
        | ( c2_1 @ X43 )
        | ~ ( c0_1 @ X43 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl2693,plain,
    ( ( ( c1_1 @ a13 )
      | ~ ( c0_1 @ a13 ) )
   <= ( ~ ( c2_1 @ a13 )
      & ! [X43: $i] :
          ( ( c1_1 @ X43 )
          | ( c2_1 @ X43 )
          | ~ ( c0_1 @ X43 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2691,zip_derived_cl318]) ).

thf('164',plain,
    ( ( c2_1 @ a13 )
    | ( c1_1 @ a13 )
    | ~ ! [X43: $i] :
          ( ( c1_1 @ X43 )
          | ( c2_1 @ X43 )
          | ~ ( c0_1 @ X43 ) )
    | ~ ( c0_1 @ a13 ) ),
    inference(split,[status(esa)],[zip_derived_cl2693]) ).

thf(zip_derived_cl90,plain,
    ( ~ hskp27
    | ( c2_1 @ a13 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl529,plain,
    ( ( c2_1 @ a13 )
   <= ( c2_1 @ a13 ) ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl261_100,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_cl18]) ).

thf(zip_derived_cl1471,plain,
    ( ( ( c1_1 @ a13 )
      | ~ ( c0_1 @ a13 ) )
   <= ( ! [X13: $i] :
          ( ( c1_1 @ X13 )
          | ~ ( c0_1 @ X13 )
          | ~ ( c2_1 @ X13 ) )
      & ( c2_1 @ a13 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl529,zip_derived_cl261]) ).

thf('165',plain,
    ( ~ ( c2_1 @ a13 )
    | ( c1_1 @ a13 )
    | ~ ! [X13: $i] :
          ( ( c1_1 @ X13 )
          | ~ ( c0_1 @ X13 )
          | ~ ( c2_1 @ X13 ) )
    | ~ ( c0_1 @ a13 ) ),
    inference(split,[status(esa)],[zip_derived_cl1471]) ).

thf(zip_derived_cl89,plain,
    ( ~ hskp27
    | ( c1_1 @ a13 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('166',plain,
    ( ~ hskp27
    | ( c1_1 @ a13 ) ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf('167',plain,
    ( ~ hskp27
    | ( c2_1 @ a13 ) ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf('168',plain,
    ( ( c3_1 @ a13 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl425_101,plain,
    ( ! [X93: $i] :
        ( ( c0_1 @ X93 )
        | ( c2_1 @ X93 )
        | ( c3_1 @ X93 ) )
   <= ! [X93: $i] :
        ( ( c0_1 @ X93 )
        | ( c2_1 @ X93 )
        | ( c3_1 @ X93 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl651_102,plain,
    ( ~ ( c3_1 @ a20 )
   <= ~ ( c3_1 @ a20 ) ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl2300,plain,
    ( ( ( c2_1 @ a20 )
      | ( c0_1 @ a20 ) )
   <= ( ~ ( c3_1 @ a20 )
      & ! [X93: $i] :
          ( ( c0_1 @ X93 )
          | ( c2_1 @ X93 )
          | ( c3_1 @ X93 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl425,zip_derived_cl651]) ).

thf('169',plain,
    ( ( c0_1 @ a20 )
    | ( c2_1 @ a20 )
    | ~ ! [X93: $i] :
          ( ( c0_1 @ X93 )
          | ( c2_1 @ X93 )
          | ( c3_1 @ X93 ) )
    | ( c3_1 @ a20 ) ),
    inference(split,[status(esa)],[zip_derived_cl2300]) ).

thf(zip_derived_cl44,plain,
    ! [X67: $i] :
      ( ( c0_1 @ X67 )
      | ~ ( c1_1 @ X67 )
      | ~ ( c2_1 @ X67 )
      | ~ ndr1_0
      | hskp17
      | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('170',plain,
    ( hskp17
    | hskp5
    | ~ ndr1_0
    | ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ~ ( c1_1 @ X66 )
        | ~ ( c2_1 @ X66 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl44]) ).

thf(zip_derived_cl149,plain,
    ( ~ hskp12
    | ~ ( c0_1 @ a20 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('171',plain,
    ( ~ ( c0_1 @ a20 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl150,plain,
    ( ~ hskp12
    | ~ ( c2_1 @ a20 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('172',plain,
    ( ~ ( c2_1 @ a20 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf('173',plain,
    ( ~ ( c3_1 @ a20 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl7,plain,
    ( hskp14
    | hskp20
    | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('174',plain,
    ( hskp12
    | hskp14
    | hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl3747,plain,
    ( ( c1_1 @ a33 )
   <= ( c1_1 @ a33 ) ),
    inference(split,[status(esa)],[zip_derived_cl1205]) ).

thf(zip_derived_cl129,plain,
    ( ~ hskp17
    | ( c0_1 @ a33 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl607,plain,
    ( ( c0_1 @ a33 )
   <= ( c0_1 @ a33 ) ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf(zip_derived_cl795_103,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c2_1 @ X1 ) )
      & ! [X4: $i] :
          ( ( c2_1 @ X4 )
          | ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl793]) ).

thf(zip_derived_cl1655,plain,
    ( ~ ( c1_1 @ a33 )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c2_1 @ X1 ) )
      & ! [X4: $i] :
          ( ( c2_1 @ X4 )
          | ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 ) )
      & ( c0_1 @ a33 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl607,zip_derived_cl795]) ).

thf('175',plain,
    ( ~ ( c1_1 @ a33 )
    | ~ ( c0_1 @ a33 )
    | ~ ! [X4: $i] :
          ( ( c2_1 @ X4 )
          | ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 ) )
    | ~ ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c2_1 @ X1 ) )
    | ~ ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3747,zip_derived_cl1655]) ).

thf('176',plain,
    ( ( c0_1 @ a43 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl117]) ).

thf('177',plain,
    ( ( c1_1 @ a43 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl118]) ).

thf(zip_derived_cl583_104,plain,
    ( ( c0_1 @ a43 )
   <= ( c0_1 @ a43 ) ),
    inference(split,[status(esa)],[zip_derived_cl117]) ).

thf(zip_derived_cl795_105,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c2_1 @ X1 ) )
      & ! [X4: $i] :
          ( ( c2_1 @ X4 )
          | ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl793]) ).

thf(zip_derived_cl1600,plain,
    ( ~ ( c1_1 @ a43 )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c2_1 @ X1 ) )
      & ! [X4: $i] :
          ( ( c2_1 @ X4 )
          | ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 ) )
      & ( c0_1 @ a43 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl583,zip_derived_cl795]) ).

thf(zip_derived_cl585_106,plain,
    ( ( c1_1 @ a43 )
   <= ( c1_1 @ a43 ) ),
    inference(split,[status(esa)],[zip_derived_cl118]) ).

thf('178',plain,
    ( ~ ( c0_1 @ a43 )
    | ~ ( c1_1 @ a43 )
    | ~ ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c2_1 @ X1 ) )
    | ~ ! [X4: $i] :
          ( ( c2_1 @ X4 )
          | ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 ) )
    | ~ ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1600,zip_derived_cl585]) ).

thf(zip_derived_cl529_107,plain,
    ( ( c2_1 @ a13 )
   <= ( c2_1 @ a13 ) ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl361_108,plain,
    ( ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ~ ( c1_1 @ X66 )
        | ~ ( c2_1 @ X66 ) )
   <= ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ~ ( c1_1 @ X66 )
        | ~ ( c2_1 @ X66 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl1993,plain,
    ( ( ( c0_1 @ a13 )
      | ~ ( c1_1 @ a13 ) )
   <= ( ! [X66: $i] :
          ( ( c0_1 @ X66 )
          | ~ ( c1_1 @ X66 )
          | ~ ( c2_1 @ X66 ) )
      & ( c2_1 @ a13 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl529,zip_derived_cl361]) ).

thf('179',plain,
    ( ( c0_1 @ a13 )
    | ~ ( c2_1 @ a13 )
    | ~ ! [X66: $i] :
          ( ( c0_1 @ X66 )
          | ~ ( c1_1 @ X66 )
          | ~ ( c2_1 @ X66 ) )
    | ~ ( c1_1 @ a13 ) ),
    inference(split,[status(esa)],[zip_derived_cl1993]) ).

thf(zip_derived_cl141,plain,
    ( ~ hskp14
    | ( c0_1 @ a25 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('180',plain,
    ( ( c0_1 @ a25 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf(zip_derived_cl142,plain,
    ( ~ hskp14
    | ( c1_1 @ a25 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('181',plain,
    ( ( c1_1 @ a25 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf('182',plain,
    ( ~ ( c2_1 @ a25 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(zip_derived_cl790_109,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ( c2_1 @ X0 )
        | ~ ( c1_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X4: $i] :
          ( ( c2_1 @ X4 )
          | ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl789]) ).

thf(zip_derived_cl635_110,plain,
    ( ~ ( c2_1 @ a25 )
   <= ~ ( c2_1 @ a25 ) ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(zip_derived_cl907,plain,
    ( ( ~ ( c1_1 @ a25 )
      | ~ ( c0_1 @ a25 ) )
   <= ( ~ ( c2_1 @ a25 )
      & ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X4: $i] :
          ( ( c2_1 @ X4 )
          | ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl790,zip_derived_cl635]) ).

thf('183',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c0_1 @ a25 )
    | ( c2_1 @ a25 )
    | ~ ! [X4: $i] :
          ( ( c2_1 @ X4 )
          | ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 ) )
    | ~ ( c1_1 @ a25 ) ),
    inference(split,[status(esa)],[zip_derived_cl907]) ).

thf(zip_derived_cl24,plain,
    ! [X26: $i,X27: $i] :
      ( ( c1_1 @ X26 )
      | ( c3_1 @ X26 )
      | ~ ( c2_1 @ X26 )
      | ~ ndr1_0
      | ( c2_1 @ X27 )
      | ( c3_1 @ X27 )
      | ~ ( c1_1 @ X27 )
      | ~ ndr1_0
      | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('184',plain,
    ( hskp1
    | ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ( c3_1 @ X23 )
        | ~ ( c2_1 @ X23 ) )
    | ~ ndr1_0
    | ! [X4: $i] :
        ( ( c2_1 @ X4 )
        | ( c3_1 @ X4 )
        | ~ ( c1_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl377_111,plain,
    ( ! [X71: $i] :
        ( ( c0_1 @ X71 )
        | ( c3_1 @ X71 )
        | ~ ( c2_1 @ X71 ) )
   <= ! [X71: $i] :
        ( ( c0_1 @ X71 )
        | ( c3_1 @ X71 )
        | ~ ( c2_1 @ X71 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(zip_derived_cl715_112,plain,
    ( ~ ( c3_1 @ a7 )
   <= ~ ( c3_1 @ a7 ) ),
    inference(split,[status(esa)],[zip_derived_cl183]) ).

thf(zip_derived_cl2060,plain,
    ( ( ~ ( c2_1 @ a7 )
      | ( c0_1 @ a7 ) )
   <= ( ~ ( c3_1 @ a7 )
      & ! [X71: $i] :
          ( ( c0_1 @ X71 )
          | ( c3_1 @ X71 )
          | ~ ( c2_1 @ X71 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl377,zip_derived_cl715]) ).

thf('185',plain,
    ( ~ ( c2_1 @ a7 )
    | ~ ! [X71: $i] :
          ( ( c0_1 @ X71 )
          | ( c3_1 @ X71 )
          | ~ ( c2_1 @ X71 ) )
    | ( c0_1 @ a7 )
    | ( c3_1 @ a7 ) ),
    inference(split,[status(esa)],[zip_derived_cl2060]) ).

thf(zip_derived_cl182,plain,
    ( ~ hskp4
    | ~ ( c1_1 @ a7 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('186',plain,
    ( ~ ( c1_1 @ a7 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf(zip_derived_cl283_113,plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ( c3_1 @ X23 )
        | ~ ( c2_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ( c3_1 @ X23 )
        | ~ ( c2_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl715_114,plain,
    ( ~ ( c3_1 @ a7 )
   <= ~ ( c3_1 @ a7 ) ),
    inference(split,[status(esa)],[zip_derived_cl183]) ).

thf(zip_derived_cl1201,plain,
    ( ( ~ ( c2_1 @ a7 )
      | ( c1_1 @ a7 ) )
   <= ( ~ ( c3_1 @ a7 )
      & ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ( c3_1 @ X23 )
          | ~ ( c2_1 @ X23 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl283,zip_derived_cl715]) ).

thf('187',plain,
    ( ~ ( c2_1 @ a7 )
    | ( c3_1 @ a7 )
    | ~ ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ( c3_1 @ X23 )
          | ~ ( c2_1 @ X23 ) )
    | ( c1_1 @ a7 ) ),
    inference(split,[status(esa)],[zip_derived_cl1201]) ).

thf(zip_derived_cl181,plain,
    ( ~ hskp4
    | ~ ( c0_1 @ a7 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('188',plain,
    ( ~ ( c0_1 @ a7 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl181]) ).

thf('189',plain,
    ( ~ ( c3_1 @ a7 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl183]) ).

thf(zip_derived_cl60,plain,
    ! [X94: $i] :
      ( ( c0_1 @ X94 )
      | ( c2_1 @ X94 )
      | ( c3_1 @ X94 )
      | ~ ndr1_0
      | hskp1
      | hskp27 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('190',plain,
    ( hskp27
    | hskp1
    | ! [X93: $i] :
        ( ( c0_1 @ X93 )
        | ( c2_1 @ X93 )
        | ( c3_1 @ X93 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl60]) ).

thf(zip_derived_cl108,plain,
    ( ~ hskp22
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('191',plain,
    ( ndr1_0
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl108]) ).

thf(zip_derived_cl152,plain,
    ( ~ hskp11
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('192',plain,
    ( ndr1_0
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl152]) ).

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

thf('193',plain,
    ( ndr1_0
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl196]) ).

thf(zip_derived_cl1,plain,
    ( hskp11
    | hskp0
    | hskp22 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('194',plain,
    ( hskp0
    | hskp11
    | hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl4,plain,
    ( hskp1
    | hskp27
    | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('195',plain,
    ( hskp4
    | hskp27
    | hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf(zip_derived_cl2706,plain,
    ( ( c2_1 @ a43 )
   <= ( c2_1 @ a43 ) ),
    inference(split,[status(esa)],[zip_derived_cl861]) ).

thf(zip_derived_cl273_115,plain,
    ( ! [X19: $i] :
        ( ~ ( c0_1 @ X19 )
        | ~ ( c1_1 @ X19 )
        | ~ ( c2_1 @ X19 ) )
   <= ! [X19: $i] :
        ( ~ ( c0_1 @ X19 )
        | ~ ( c1_1 @ X19 )
        | ~ ( c2_1 @ X19 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl2709,plain,
    ( ( ~ ( c0_1 @ a43 )
      | ~ ( c1_1 @ a43 ) )
   <= ( ! [X19: $i] :
          ( ~ ( c0_1 @ X19 )
          | ~ ( c1_1 @ X19 )
          | ~ ( c2_1 @ X19 ) )
      & ( c2_1 @ a43 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2706,zip_derived_cl273]) ).

thf('196',plain,
    ( ~ ( c2_1 @ a43 )
    | ~ ( c1_1 @ a43 )
    | ~ ! [X19: $i] :
          ( ~ ( c0_1 @ X19 )
          | ~ ( c1_1 @ X19 )
          | ~ ( c2_1 @ X19 ) )
    | ~ ( c0_1 @ a43 ) ),
    inference(split,[status(esa)],[zip_derived_cl2709]) ).

thf(zip_derived_cl318_116,plain,
    ( ! [X43: $i] :
        ( ( c1_1 @ X43 )
        | ( c2_1 @ X43 )
        | ~ ( c0_1 @ X43 ) )
   <= ! [X43: $i] :
        ( ( c1_1 @ X43 )
        | ( c2_1 @ X43 )
        | ~ ( c0_1 @ X43 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl611_117,plain,
    ( ~ ( c3_1 @ a33 )
   <= ~ ( c3_1 @ a33 ) ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf(zip_derived_cl226_118,plain,
    ( ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c2_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c1_1 @ X1 )
        | ~ ( c2_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl883,plain,
    ( ( ~ ( c1_1 @ a33 )
      | ~ ( c2_1 @ a33 ) )
   <= ( ~ ( c3_1 @ a33 )
      & ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c1_1 @ X1 )
          | ~ ( c2_1 @ X1 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl611,zip_derived_cl226]) ).

thf(zip_derived_cl1182,plain,
    ( ~ ( c2_1 @ a33 )
   <= ~ ( c2_1 @ a33 ) ),
    inference(split,[status(esa)],[zip_derived_cl883]) ).

thf(zip_derived_cl1742,plain,
    ( ( ~ ( c0_1 @ a33 )
      | ( c1_1 @ a33 ) )
   <= ( ~ ( c2_1 @ a33 )
      & ! [X43: $i] :
          ( ( c1_1 @ X43 )
          | ( c2_1 @ X43 )
          | ~ ( c0_1 @ X43 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl318,zip_derived_cl1182]) ).

thf('197',plain,
    ( ( c2_1 @ a33 )
    | ( c1_1 @ a33 )
    | ~ ! [X43: $i] :
          ( ( c1_1 @ X43 )
          | ( c2_1 @ X43 )
          | ~ ( c0_1 @ X43 ) )
    | ~ ( c0_1 @ a33 ) ),
    inference(split,[status(esa)],[zip_derived_cl1742]) ).

thf('198',plain,
    ( ( c0_1 @ a33 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf(zip_derived_cl130,plain,
    ( ~ hskp17
    | ~ ( c1_1 @ a33 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('199',plain,
    ( ~ ( c1_1 @ a33 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(zip_derived_cl611_119,plain,
    ( ~ ( c3_1 @ a33 )
   <= ~ ( c3_1 @ a33 ) ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf(zip_derived_cl238_120,plain,
    ( ! [X4: $i] :
        ( ( c2_1 @ X4 )
        | ( c3_1 @ X4 )
        | ~ ( c1_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c2_1 @ X4 )
        | ( c3_1 @ X4 )
        | ~ ( c1_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl885,plain,
    ( ( ( c2_1 @ a33 )
      | ~ ( c1_1 @ a33 ) )
   <= ( ~ ( c3_1 @ a33 )
      & ! [X4: $i] :
          ( ( c2_1 @ X4 )
          | ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl611,zip_derived_cl238]) ).

thf(zip_derived_cl2897,plain,
    ( ( c2_1 @ a33 )
   <= ( c2_1 @ a33 ) ),
    inference(split,[status(esa)],[zip_derived_cl885]) ).

thf(zip_derived_cl261_121,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_cl18]) ).

thf(zip_derived_cl2899,plain,
    ( ( ( c1_1 @ a33 )
      | ~ ( c0_1 @ a33 ) )
   <= ( ! [X13: $i] :
          ( ( c1_1 @ X13 )
          | ~ ( c0_1 @ X13 )
          | ~ ( c2_1 @ X13 ) )
      & ( c2_1 @ a33 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2897,zip_derived_cl261]) ).

thf('200',plain,
    ( ~ ! [X13: $i] :
          ( ( c1_1 @ X13 )
          | ~ ( c0_1 @ X13 )
          | ~ ( c2_1 @ X13 ) )
    | ~ ( c2_1 @ a33 )
    | ( c1_1 @ a33 )
    | ~ ( c0_1 @ a33 ) ),
    inference(split,[status(esa)],[zip_derived_cl2899]) ).

thf(zip_derived_cl798_122,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl797]) ).

thf(zip_derived_cl635_123,plain,
    ( ~ ( c2_1 @ a25 )
   <= ~ ( c2_1 @ a25 ) ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(zip_derived_cl908,plain,
    ( ( ~ ( c0_1 @ a25 )
      | ~ ( c1_1 @ a25 ) )
   <= ( ~ ( c2_1 @ a25 )
      & ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl798,zip_derived_cl635]) ).

thf('201',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c0_1 @ a25 )
    | ( c2_1 @ a25 )
    | ~ ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ( c3_1 @ X5 )
          | ~ ( c0_1 @ X5 ) )
    | ~ ( c1_1 @ a25 ) ),
    inference(split,[status(esa)],[zip_derived_cl908]) ).

thf('202',plain,
    ( ( c0_1 @ a2 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl193]) ).

thf(zip_derived_cl194,plain,
    ( ~ hskp1
    | ~ ( c1_1 @ a2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('203',plain,
    ( ~ ( c1_1 @ a2 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl194]) ).

thf('204',plain,
    ( ~ ( c2_1 @ a2 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl195]) ).

thf(zip_derived_cl318_124,plain,
    ( ! [X43: $i] :
        ( ( c1_1 @ X43 )
        | ( c2_1 @ X43 )
        | ~ ( c0_1 @ X43 ) )
   <= ! [X43: $i] :
        ( ( c1_1 @ X43 )
        | ( c2_1 @ X43 )
        | ~ ( c0_1 @ X43 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl739_125,plain,
    ( ~ ( c2_1 @ a2 )
   <= ~ ( c2_1 @ a2 ) ),
    inference(split,[status(esa)],[zip_derived_cl195]) ).

thf(zip_derived_cl1731,plain,
    ( ( ~ ( c0_1 @ a2 )
      | ( c1_1 @ a2 ) )
   <= ( ~ ( c2_1 @ a2 )
      & ! [X43: $i] :
          ( ( c1_1 @ X43 )
          | ( c2_1 @ X43 )
          | ~ ( c0_1 @ X43 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl318,zip_derived_cl739]) ).

thf('205',plain,
    ( ( c1_1 @ a2 )
    | ( c2_1 @ a2 )
    | ~ ! [X43: $i] :
          ( ( c1_1 @ X43 )
          | ( c2_1 @ X43 )
          | ~ ( c0_1 @ X43 ) )
    | ~ ( c0_1 @ a2 ) ),
    inference(split,[status(esa)],[zip_derived_cl1731]) ).

thf(zip_derived_cl425_126,plain,
    ( ! [X93: $i] :
        ( ( c0_1 @ X93 )
        | ( c2_1 @ X93 )
        | ( c3_1 @ X93 ) )
   <= ! [X93: $i] :
        ( ( c0_1 @ X93 )
        | ( c2_1 @ X93 )
        | ( c3_1 @ X93 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl715_127,plain,
    ( ~ ( c3_1 @ a7 )
   <= ~ ( c3_1 @ a7 ) ),
    inference(split,[status(esa)],[zip_derived_cl183]) ).

thf(zip_derived_cl2297,plain,
    ( ( ( c2_1 @ a7 )
      | ( c0_1 @ a7 ) )
   <= ( ~ ( c3_1 @ a7 )
      & ! [X93: $i] :
          ( ( c0_1 @ X93 )
          | ( c2_1 @ X93 )
          | ( c3_1 @ X93 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl425,zip_derived_cl715]) ).

thf('206',plain,
    ( ( c2_1 @ a7 )
    | ~ ! [X93: $i] :
          ( ( c0_1 @ X93 )
          | ( c2_1 @ X93 )
          | ( c3_1 @ X93 ) )
    | ( c3_1 @ a7 )
    | ( c0_1 @ a7 ) ),
    inference(split,[status(esa)],[zip_derived_cl2297]) ).

thf(zip_derived_cl71,plain,
    ! [X119: $i] :
      ( ( c0_1 @ X119 )
      | ( c1_1 @ X119 )
      | ( c3_1 @ X119 )
      | ~ ndr1_0
      | hskp26
      | hskp3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl473,plain,
    ( ! [X119: $i] :
        ( ( c0_1 @ X119 )
        | ( c1_1 @ X119 )
        | ( c3_1 @ X119 ) )
   <= ! [X119: $i] :
        ( ( c0_1 @ X119 )
        | ( c1_1 @ X119 )
        | ( c3_1 @ X119 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl71]) ).

thf(zip_derived_cl595_128,plain,
    ( ~ ( c3_1 @ a40 )
   <= ~ ( c3_1 @ a40 ) ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl2345,plain,
    ( ( ( c1_1 @ a40 )
      | ( c0_1 @ a40 ) )
   <= ( ~ ( c3_1 @ a40 )
      & ! [X119: $i] :
          ( ( c0_1 @ X119 )
          | ( c1_1 @ X119 )
          | ( c3_1 @ X119 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl473,zip_derived_cl595]) ).

thf('207',plain,
    ( ( c1_1 @ a40 )
    | ~ ! [X119: $i] :
          ( ( c0_1 @ X119 )
          | ( c1_1 @ X119 )
          | ( c3_1 @ X119 ) )
    | ( c3_1 @ a40 )
    | ( c0_1 @ a40 ) ),
    inference(split,[status(esa)],[zip_derived_cl2345]) ).

thf('208',plain,
    ( hskp25
    | ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf('209',plain,
    ( ( c2_1 @ a73 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf('210',plain,
    ( ( c0_1 @ a23 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf('211',plain,
    ( ( c1_1 @ a23 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf('212',plain,
    ( ( c2_1 @ a23 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl523_129,plain,
    ( ( c2_1 @ a23 )
   <= ( c2_1 @ a23 ) ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl273_130,plain,
    ( ! [X19: $i] :
        ( ~ ( c0_1 @ X19 )
        | ~ ( c1_1 @ X19 )
        | ~ ( c2_1 @ X19 ) )
   <= ! [X19: $i] :
        ( ~ ( c0_1 @ X19 )
        | ~ ( c1_1 @ X19 )
        | ~ ( c2_1 @ X19 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl1466,plain,
    ( ( ~ ( c0_1 @ a23 )
      | ~ ( c1_1 @ a23 ) )
   <= ( ! [X19: $i] :
          ( ~ ( c0_1 @ X19 )
          | ~ ( c1_1 @ X19 )
          | ~ ( c2_1 @ X19 ) )
      & ( c2_1 @ a23 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl523,zip_derived_cl273]) ).

thf('213',plain,
    ( ~ ! [X19: $i] :
          ( ~ ( c0_1 @ X19 )
          | ~ ( c1_1 @ X19 )
          | ~ ( c2_1 @ X19 ) )
    | ~ ( c1_1 @ a23 )
    | ~ ( c2_1 @ a23 )
    | ~ ( c0_1 @ a23 ) ),
    inference(split,[status(esa)],[zip_derived_cl1466]) ).

thf(zip_derived_cl679_131,plain,
    ( ( c3_1 @ a14 )
   <= ( c3_1 @ a14 ) ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl346_132,plain,
    ( ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ~ ( c1_1 @ X57 )
        | ~ ( c3_1 @ X57 ) )
   <= ! [X57: $i] :
        ( ( c0_1 @ X57 )
        | ~ ( c1_1 @ X57 )
        | ~ ( c3_1 @ X57 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl1928,plain,
    ( ( ( c0_1 @ a14 )
      | ~ ( c1_1 @ a14 ) )
   <= ( ! [X57: $i] :
          ( ( c0_1 @ X57 )
          | ~ ( c1_1 @ X57 )
          | ~ ( c3_1 @ X57 ) )
      & ( c3_1 @ a14 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl679,zip_derived_cl346]) ).

thf('214',plain,
    ( ~ ( c1_1 @ a14 )
    | ~ ( c3_1 @ a14 )
    | ~ ! [X57: $i] :
          ( ( c0_1 @ X57 )
          | ~ ( c1_1 @ X57 )
          | ~ ( c3_1 @ X57 ) )
    | ( c0_1 @ a14 ) ),
    inference(split,[status(esa)],[zip_derived_cl1928]) ).

thf('215',plain,
    ( ( c2_1 @ a47 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl113]) ).

thf('216',plain,
    ( ( c3_1 @ a47 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl114]) ).

thf(zip_derived_cl115,plain,
    ( ~ hskp21
    | ~ ( c0_1 @ a47 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('217',plain,
    ( ~ ( c0_1 @ a47 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl115]) ).

thf(zip_derived_cl577_133,plain,
    ( ( c3_1 @ a47 )
   <= ( c3_1 @ a47 ) ),
    inference(split,[status(esa)],[zip_derived_cl114]) ).

thf(zip_derived_cl337_134,plain,
    ( ! [X54: $i] :
        ( ( c0_1 @ X54 )
        | ~ ( c2_1 @ X54 )
        | ~ ( c3_1 @ X54 ) )
   <= ! [X54: $i] :
        ( ( c0_1 @ X54 )
        | ~ ( c2_1 @ X54 )
        | ~ ( c3_1 @ X54 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl1898,plain,
    ( ( ( c0_1 @ a47 )
      | ~ ( c2_1 @ a47 ) )
   <= ( ! [X54: $i] :
          ( ( c0_1 @ X54 )
          | ~ ( c2_1 @ X54 )
          | ~ ( c3_1 @ X54 ) )
      & ( c3_1 @ a47 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl577,zip_derived_cl337]) ).

thf('218',plain,
    ( ~ ( c2_1 @ a47 )
    | ( c0_1 @ a47 )
    | ~ ! [X54: $i] :
          ( ( c0_1 @ X54 )
          | ~ ( c2_1 @ X54 )
          | ~ ( c3_1 @ X54 ) )
    | ~ ( c3_1 @ a47 ) ),
    inference(split,[status(esa)],[zip_derived_cl1898]) ).

thf(zip_derived_cl15,plain,
    ! [X7: $i,X8: $i] :
      ( ( c2_1 @ X7 )
      | ( c3_1 @ X7 )
      | ~ ( c0_1 @ X7 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X8 )
      | ~ ( c1_1 @ X8 )
      | ~ ( c3_1 @ X8 )
      | ~ ndr1_0
      | hskp13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('219',plain,
    ( hskp13
    | ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ( c3_1 @ X5 )
        | ~ ( c0_1 @ X5 ) )
    | ~ ndr1_0
    | ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf('220',plain,
    ( ( c3_1 @ a22 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl639_135,plain,
    ( ( c3_1 @ a22 )
   <= ( c3_1 @ a22 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl437_136,plain,
    ( ! [X98: $i] :
        ( ( c0_1 @ X98 )
        | ( c1_1 @ X98 )
        | ~ ( c3_1 @ X98 ) )
   <= ! [X98: $i] :
        ( ( c0_1 @ X98 )
        | ( c1_1 @ X98 )
        | ~ ( c3_1 @ X98 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf(zip_derived_cl2152,plain,
    ( ( ( c0_1 @ a22 )
      | ( c1_1 @ a22 ) )
   <= ( ! [X98: $i] :
          ( ( c0_1 @ X98 )
          | ( c1_1 @ X98 )
          | ~ ( c3_1 @ X98 ) )
      & ( c3_1 @ a22 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl639,zip_derived_cl437]) ).

thf('221',plain,
    ( ~ ! [X98: $i] :
          ( ( c0_1 @ X98 )
          | ( c1_1 @ X98 )
          | ~ ( c3_1 @ X98 ) )
    | ~ ( c3_1 @ a22 )
    | ( c0_1 @ a22 )
    | ( c1_1 @ a22 ) ),
    inference(split,[status(esa)],[zip_derived_cl2152]) ).

thf(zip_derived_cl67,plain,
    ! [X110: $i,X111: $i] :
      ( ( c0_1 @ X110 )
      | ( c1_1 @ X110 )
      | ~ ( c3_1 @ X110 )
      | ~ ndr1_0
      | ( c0_1 @ X111 )
      | ~ ( c1_1 @ X111 )
      | ~ ( c2_1 @ X111 )
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('222',plain,
    ( hskp5
    | ! [X98: $i] :
        ( ( c0_1 @ X98 )
        | ( c1_1 @ X98 )
        | ~ ( c3_1 @ X98 ) )
    | ~ ndr1_0
    | ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ~ ( c1_1 @ X66 )
        | ~ ( c2_1 @ X66 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl67]) ).

thf(zip_derived_cl177,plain,
    ( ~ hskp5
    | ( c1_1 @ a8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('223',plain,
    ( ( c1_1 @ a8 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf('224',plain,
    ( ~ ( c2_1 @ a8 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf('225',plain,
    ( ~ ( c3_1 @ a8 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl179]) ).

thf(zip_derived_cl707_137,plain,
    ( ~ ( c3_1 @ a8 )
   <= ~ ( c3_1 @ a8 ) ),
    inference(split,[status(esa)],[zip_derived_cl179]) ).

thf(zip_derived_cl238_138,plain,
    ( ! [X4: $i] :
        ( ( c2_1 @ X4 )
        | ( c3_1 @ X4 )
        | ~ ( c1_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c2_1 @ X4 )
        | ( c3_1 @ X4 )
        | ~ ( c1_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl1007,plain,
    ( ( ( c2_1 @ a8 )
      | ~ ( c1_1 @ a8 ) )
   <= ( ~ ( c3_1 @ a8 )
      & ! [X4: $i] :
          ( ( c2_1 @ X4 )
          | ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl707,zip_derived_cl238]) ).

thf('226',plain,
    ( ~ ! [X4: $i] :
          ( ( c2_1 @ X4 )
          | ( c3_1 @ X4 )
          | ~ ( c1_1 @ X4 ) )
    | ( c2_1 @ a8 )
    | ( c3_1 @ a8 )
    | ~ ( c1_1 @ a8 ) ),
    inference(split,[status(esa)],[zip_derived_cl1007]) ).

thf('227',plain,
    ( hskp19
    | ! [X4: $i] :
        ( ( c2_1 @ X4 )
        | ( c3_1 @ X4 )
        | ~ ( c1_1 @ X4 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf('228',plain,
    ( ( c2_1 @ a40 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl122,plain,
    ( ~ hskp19
    | ~ ( c0_1 @ a40 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('229',plain,
    ( ~ ( c0_1 @ a40 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf('230',plain,
    ( ~ ( c3_1 @ a40 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl377_139,plain,
    ( ! [X71: $i] :
        ( ( c0_1 @ X71 )
        | ( c3_1 @ X71 )
        | ~ ( c2_1 @ X71 ) )
   <= ! [X71: $i] :
        ( ( c0_1 @ X71 )
        | ( c3_1 @ X71 )
        | ~ ( c2_1 @ X71 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(zip_derived_cl595_140,plain,
    ( ~ ( c3_1 @ a40 )
   <= ~ ( c3_1 @ a40 ) ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl2065,plain,
    ( ( ~ ( c2_1 @ a40 )
      | ( c0_1 @ a40 ) )
   <= ( ~ ( c3_1 @ a40 )
      & ! [X71: $i] :
          ( ( c0_1 @ X71 )
          | ( c3_1 @ X71 )
          | ~ ( c2_1 @ X71 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl377,zip_derived_cl595]) ).

thf('231',plain,
    ( ~ ! [X71: $i] :
          ( ( c0_1 @ X71 )
          | ( c3_1 @ X71 )
          | ~ ( c2_1 @ X71 ) )
    | ~ ( c2_1 @ a40 )
    | ( c0_1 @ a40 )
    | ( c3_1 @ a40 ) ),
    inference(split,[status(esa)],[zip_derived_cl2065]) ).

thf(zip_derived_cl48,plain,
    ! [X72: $i,X73: $i,X74: $i] :
      ( ( c0_1 @ X72 )
      | ( c3_1 @ X72 )
      | ~ ( c2_1 @ X72 )
      | ~ ndr1_0
      | ( c2_1 @ X73 )
      | ( c3_1 @ X73 )
      | ~ ( c0_1 @ X73 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X74 )
      | ~ ( c1_1 @ X74 )
      | ~ ( c2_1 @ X74 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('232',plain,
    ( ! [X71: $i] :
        ( ( c0_1 @ X71 )
        | ( c3_1 @ X71 )
        | ~ ( c2_1 @ X71 ) )
    | ! [X19: $i] :
        ( ~ ( c0_1 @ X19 )
        | ~ ( c1_1 @ X19 )
        | ~ ( c2_1 @ X19 ) )
    | ~ ndr1_0
    | ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ( c3_1 @ X5 )
        | ~ ( c0_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl10549,plain,
    $false,
    inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6','7','8','9','10','11','12','13','14','15','16','17','18','19','20','21','22','23','24','25','26','27','28','29','30','31','32','33','34','35','36','37','38','39','40','41','42','43','44','45','46','47','48','49','50','51','52','53','54','55','56','57','58','59','60','61','62','63','64','65','66','67','68','69','70','71','72','73','74','75','76','77','78','79','80','81','82','83','84','85','86','87','88','89','90','91','92','93','94','95','96','97','98','99','100','101','102','103','104','105','106','107','108','109','110','111','112','113','114','115','116','117','118','119','120','121','122','123','124','125','126','127','128','129','130','131','132','133','134','135','136','137','138','139','140','141','142','143','144','145','146','147','148','149','150','151','152','153','154','155','156','157','158','159','160','161','162','163','164','165','166','167','168','169','170','171','172','173','174','175','176','177','178','179','180','181','182','183','184','185','186','187','188','189','190','191','192','193','194','195','196','197','198','199','200','201','202','203','204','205','206','207','208','209','210','211','212','213','214','215','216','217','218','219','220','221','222','223','224','225','226','227','228','229','230','231','232']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN500+1 : TPTP v8.1.2. Released v2.1.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.8Nd4sAuah7 true
% 0.13/0.34  % Computer : n024.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sat Aug 26 17:40:24 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.46/0.63  % Total configuration time : 435
% 0.46/0.63  % Estimated wc time : 1092
% 0.46/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.46/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.46/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.53/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.53/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 9.33/1.90  % Solved by fo/fo1_av.sh.
% 9.33/1.90  % done 2893 iterations in 1.130s
% 9.33/1.90  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 9.33/1.90  % SZS output start Refutation
% See solution above
% 9.33/1.91  
% 9.33/1.91  
% 9.33/1.91  % Terminating...
% 9.33/1.91  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 9.33/1.96  % Runner terminated.
% 9.33/1.98  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------