TSTP Solution File: SYN436+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN436+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.APxKmvnjSb true

% Computer : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep  1 04:03:26 EDT 2023

% Result   : Theorem 25.27s 4.20s
% Output   : Refutation 25.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   62
% Syntax   : Number of formulae    :  870 (   1 unt;  61 typ;   0 def)
%            Number of atoms       : 4924 (   0 equ;   0 cnn)
%            Maximal formula atoms :  446 (   6 avg)
%            Number of connectives : 10789 (2479   ~;3045   |; 507   &;4195   @)
%                                         (   0 <=>; 126  =>; 437  <=;   0 <~>)
%            Maximal formula depth :   72 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   62 (  61 usr;  58 con; 0-1 aty)
%            Number of variables   :  968 (   0   ^; 968   !;   0   ?; 968   :)

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

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

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

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

thf(a53_type,type,
    a53: $i ).

thf(a30_type,type,
    a30: $i ).

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

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

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

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

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

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

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

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

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

thf(a6_type,type,
    a6: $i ).

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

thf(a45_type,type,
    a45: $i ).

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

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

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

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(a16_type,type,
    a16: $i ).

thf(a21_type,type,
    a21: $i ).

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

thf(a42_type,type,
    a42: $i ).

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

thf(a31_type,type,
    a31: $i ).

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

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

thf(a37_type,type,
    a37: $i ).

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

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

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

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

thf(a9_type,type,
    a9: $i ).

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

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

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

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

thf(a24_type,type,
    a24: $i ).

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

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

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

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

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

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

thf(a3_type,type,
    a3: $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(a4_type,type,
    a4: $i ).

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

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

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

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

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

thf(co1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & ( c3_1 @ a1 )
          & ~ ( c0_1 @ a1 )
          & ~ ( c2_1 @ a1 ) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & ( c2_1 @ a2 )
          & ~ ( c0_1 @ a2 )
          & ~ ( c3_1 @ a2 ) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & ( c1_1 @ a4 )
          & ~ ( c2_1 @ a4 )
          & ~ ( c3_1 @ a4 ) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & ~ ( c1_1 @ a5 )
          & ~ ( c2_1 @ a5 )
          & ~ ( c3_1 @ a5 ) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & ( c1_1 @ a6 )
          & ( c3_1 @ a6 )
          & ~ ( c2_1 @ a6 ) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & ( c1_1 @ a7 )
          & ( c3_1 @ a7 )
          & ~ ( c0_1 @ a7 ) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & ( c0_1 @ a8 )
          & ( c1_1 @ a8 )
          & ~ ( c2_1 @ a8 ) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & ( c0_1 @ a14 )
          & ( c3_1 @ a14 )
          & ~ ( c2_1 @ a14 ) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & ( c0_1 @ a15 )
          & ~ ( c1_1 @ a15 )
          & ~ ( c2_1 @ a15 ) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & ( c0_1 @ a16 )
          & ~ ( c2_1 @ a16 )
          & ~ ( c3_1 @ a16 ) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & ( c0_1 @ a18 )
          & ( c2_1 @ a18 )
          & ~ ( c3_1 @ a18 ) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & ( c2_1 @ a19 )
          & ~ ( c1_1 @ a19 )
          & ~ ( c3_1 @ a19 ) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & ~ ( c0_1 @ a21 )
          & ~ ( c1_1 @ a21 )
          & ~ ( c2_1 @ a21 ) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & ~ ( c0_1 @ a22 )
          & ~ ( c2_1 @ a22 )
          & ~ ( c3_1 @ a22 ) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & ( c2_1 @ a24 )
          & ~ ( c0_1 @ a24 )
          & ~ ( c1_1 @ a24 ) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & ( c0_1 @ a25 )
          & ( c1_1 @ a25 )
          & ~ ( c3_1 @ a25 ) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & ( c1_1 @ a30 )
          & ~ ( c0_1 @ a30 )
          & ~ ( c2_1 @ a30 ) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & ( c0_1 @ a31 )
          & ( c2_1 @ a31 )
          & ~ ( c1_1 @ a31 ) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & ~ ( c0_1 @ a32 )
          & ~ ( c1_1 @ a32 )
          & ~ ( c3_1 @ a32 ) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & ( c2_1 @ a33 )
          & ( c3_1 @ a33 )
          & ~ ( c0_1 @ a33 ) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & ( c1_1 @ a37 )
          & ~ ( c0_1 @ a37 )
          & ~ ( c3_1 @ a37 ) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & ( c2_1 @ a42 )
          & ( c3_1 @ a42 )
          & ~ ( c1_1 @ a42 ) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & ( c0_1 @ a45 )
          & ~ ( c1_1 @ a45 )
          & ~ ( c3_1 @ a45 ) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & ( c3_1 @ a53 )
          & ~ ( c0_1 @ a53 )
          & ~ ( c1_1 @ a53 ) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & ( c1_1 @ a3 )
          & ( c2_1 @ a3 )
          & ( c3_1 @ a3 ) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & ( c0_1 @ a9 )
          & ( c1_1 @ a9 )
          & ( c2_1 @ a9 ) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & ( c0_1 @ a10 )
          & ( c2_1 @ a10 )
          & ( c3_1 @ a10 ) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & ( c0_1 @ a11 )
          & ( c1_1 @ a11 )
          & ( c3_1 @ a11 ) ) )
      & ( ! [U: $i] :
            ( ndr1_0
           => ( ( c0_1 @ U )
              | ( c1_1 @ U )
              | ( c2_1 @ U ) ) )
        | ! [V: $i] :
            ( ndr1_0
           => ( ( c0_1 @ V )
              | ( c2_1 @ V )
              | ( c3_1 @ V ) ) )
        | ! [W: $i] :
            ( ndr1_0
           => ( ( c0_1 @ W )
              | ( c2_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 )
              | ~ ( c0_1 @ Y )
              | ~ ( c2_1 @ Y ) ) )
        | hskp0 )
      & ( ! [Z: $i] :
            ( ndr1_0
           => ( ( c0_1 @ Z )
              | ( c1_1 @ Z )
              | ( c3_1 @ Z ) ) )
        | ! [X1: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X1 )
              | ~ ( c1_1 @ X1 )
              | ~ ( c2_1 @ X1 ) ) ) )
      & ( ! [X2: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X2 )
              | ( c1_1 @ X2 )
              | ( c3_1 @ X2 ) ) )
        | ! [X3: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X3 )
              | ~ ( c2_1 @ X3 )
              | ~ ( c3_1 @ X3 ) ) )
        | hskp1 )
      & ( ! [X4: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X4 )
              | ( c1_1 @ X4 )
              | ( c3_1 @ X4 ) ) )
        | ! [X5: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X5 )
              | ~ ( c0_1 @ X5 )
              | ~ ( c1_1 @ X5 ) ) )
        | hskp24 )
      & ( ! [X6: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X6 )
              | ( c1_1 @ X6 )
              | ~ ( c2_1 @ X6 ) ) )
        | ! [X7: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X7 )
              | ( c3_1 @ X7 )
              | ~ ( c1_1 @ X7 ) ) )
        | ! [X8: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X8 )
              | ~ ( c2_1 @ X8 )
              | ~ ( c3_1 @ X8 ) ) ) )
      & ( ! [X9: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X9 )
              | ( c1_1 @ X9 )
              | ~ ( c2_1 @ X9 ) ) )
        | ! [X10: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X10 )
              | ( c3_1 @ X10 )
              | ~ ( c0_1 @ X10 ) ) )
        | ! [X11: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X11 )
              | ( c3_1 @ X11 )
              | ~ ( c1_1 @ X11 ) ) ) )
      & ( ! [X12: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X12 )
              | ( c1_1 @ X12 )
              | ~ ( c2_1 @ X12 ) ) )
        | hskp2
        | hskp3 )
      & ( ! [X13: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X13 )
              | ( c1_1 @ X13 )
              | ~ ( c3_1 @ X13 ) ) )
        | ! [X14: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X14 )
              | ( c2_1 @ X14 )
              | ~ ( c0_1 @ X14 ) ) )
        | hskp4 )
      & ( ! [X15: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X15 )
              | ( c2_1 @ X15 )
              | ( c3_1 @ X15 ) ) )
        | ! [X16: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X16 )
              | ( c3_1 @ X16 )
              | ~ ( c2_1 @ X16 ) ) )
        | ! [X17: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X17 )
              | ( c2_1 @ X17 )
              | ( c3_1 @ X17 ) ) ) )
      & ( ! [X18: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X18 )
              | ( c2_1 @ X18 )
              | ( c3_1 @ X18 ) ) )
        | ! [X19: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X19 )
              | ( c3_1 @ X19 )
              | ~ ( c0_1 @ X19 ) ) )
        | ! [X20: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X20 )
              | ~ ( c1_1 @ X20 )
              | ~ ( c3_1 @ X20 ) ) ) )
      & ( ! [X21: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X21 )
              | ( c2_1 @ X21 )
              | ~ ( c1_1 @ X21 ) ) )
        | ! [X22: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X22 )
              | ~ ( c1_1 @ X22 )
              | ~ ( c2_1 @ X22 ) ) )
        | hskp5 )
      & ( ! [X23: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X23 )
              | ( c2_1 @ X23 )
              | ~ ( c3_1 @ X23 ) ) )
        | ! [X24: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X24 )
              | ~ ( c2_1 @ X24 )
              | ~ ( c3_1 @ X24 ) ) )
        | hskp6 )
      & ( ! [X25: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X25 )
              | ( c3_1 @ X25 )
              | ~ ( c2_1 @ X25 ) ) )
        | ! [X26: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X26 )
              | ( c3_1 @ X26 )
              | ~ ( c1_1 @ X26 ) ) )
        | ! [X27: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X27 )
              | ~ ( c1_1 @ X27 )
              | ~ ( c2_1 @ X27 ) ) ) )
      & ( ! [X28: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X28 )
              | ( c3_1 @ X28 )
              | ~ ( c2_1 @ X28 ) ) )
        | hskp25
        | hskp26 )
      & ( ! [X29: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X29 )
              | ~ ( c1_1 @ X29 )
              | ~ ( c2_1 @ X29 ) ) )
        | hskp27
        | hskp26 )
      & ( ! [X30: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X30 )
              | ~ ( c1_1 @ X30 )
              | ~ ( c2_1 @ X30 ) ) )
        | hskp27
        | hskp7 )
      & ( ! [X31: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X31 )
              | ~ ( c1_1 @ X31 )
              | ~ ( c2_1 @ X31 ) ) )
        | hskp8
        | hskp9 )
      & ( ! [X32: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X32 )
              | ~ ( c1_1 @ X32 )
              | ~ ( c3_1 @ X32 ) ) )
        | ! [X33: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X33 )
              | ( c3_1 @ X33 )
              | ~ ( c0_1 @ X33 ) ) )
        | hskp4 )
      & ( ! [X34: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X34 )
              | ~ ( c1_1 @ X34 )
              | ~ ( c3_1 @ X34 ) ) )
        | ! [X35: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X35 )
              | ~ ( c2_1 @ X35 )
              | ~ ( c3_1 @ X35 ) ) )
        | hskp10 )
      & ( ! [X36: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X36 )
              | ~ ( c2_1 @ X36 )
              | ~ ( c3_1 @ X36 ) ) )
        | ! [X37: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X37 )
              | ~ ( c0_1 @ X37 )
              | ~ ( c2_1 @ X37 ) ) )
        | hskp11 )
      & ( ! [X38: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X38 )
              | ~ ( c2_1 @ X38 )
              | ~ ( c3_1 @ X38 ) ) )
        | hskp27
        | hskp12 )
      & ( ! [X39: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X39 )
              | ( c2_1 @ X39 )
              | ~ ( c0_1 @ X39 ) ) )
        | ! [X40: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X40 )
              | ~ ( c0_1 @ X40 )
              | ~ ( c3_1 @ X40 ) ) )
        | hskp13 )
      & ( ! [X41: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X41 )
              | ( c2_1 @ X41 )
              | ~ ( c0_1 @ X41 ) ) )
        | hskp2
        | hskp14 )
      & ( ! [X42: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X42 )
              | ( c2_1 @ X42 )
              | ~ ( c3_1 @ X42 ) ) )
        | ! [X43: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X43 )
              | ~ ( c0_1 @ X43 )
              | ~ ( c3_1 @ X43 ) ) )
        | hskp15 )
      & ( ! [X44: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X44 )
              | ( c3_1 @ X44 )
              | ~ ( c2_1 @ X44 ) ) )
        | ! [X45: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X45 )
              | ~ ( c2_1 @ X45 )
              | ~ ( c3_1 @ X45 ) ) ) )
      & ( ! [X46: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X46 )
              | ( c3_1 @ X46 )
              | ~ ( c2_1 @ X46 ) ) )
        | hskp6
        | hskp26 )
      & ( ! [X47: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X47 )
              | ( c3_1 @ X47 )
              | ~ ( c2_1 @ X47 ) ) )
        | hskp7 )
      & ( ! [X48: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X48 )
              | ( c3_1 @ X48 )
              | ~ ( c0_1 @ X48 ) ) )
        | ! [X49: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X49 )
              | ( c3_1 @ X49 )
              | ~ ( c1_1 @ X49 ) ) )
        | ! [X50: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X50 )
              | ~ ( c2_1 @ X50 )
              | ~ ( c3_1 @ X50 ) ) ) )
      & ( ! [X51: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X51 )
              | ( c3_1 @ X51 )
              | ~ ( c0_1 @ X51 ) ) )
        | hskp26
        | hskp16 )
      & ( ! [X52: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X52 )
              | ~ ( c0_1 @ X52 )
              | ~ ( c3_1 @ X52 ) ) )
        | hskp17
        | hskp18 )
      & ( ! [X53: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X53 )
              | ~ ( c1_1 @ X53 )
              | ~ ( c3_1 @ X53 ) ) )
        | ! [X54: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X54 )
              | ~ ( c1_1 @ X54 )
              | ~ ( c2_1 @ X54 ) ) )
        | hskp19 )
      & ( ! [X55: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X55 )
              | ~ ( c1_1 @ X55 )
              | ~ ( c3_1 @ X55 ) ) )
        | hskp9
        | hskp24 )
      & ( ! [X56: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X56 )
              | ~ ( c0_1 @ X56 )
              | ~ ( c2_1 @ X56 ) ) )
        | hskp26
        | hskp20 )
      & ( ! [X57: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X57 )
              | ~ ( c1_1 @ X57 )
              | ~ ( c2_1 @ X57 ) ) )
        | hskp6
        | hskp10 )
      & ( hskp25
        | hskp17
        | hskp21 )
      & ( hskp6
        | hskp26
        | hskp22 )
      & ( hskp17
        | hskp8
        | hskp4 )
      & ( hskp7
        | hskp9
        | hskp13 )
      & ( hskp24
        | hskp23
        | hskp0 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( ~ hskp0
      | ( ndr1_0
        & ( c3_1 @ a1 )
        & ~ ( c0_1 @ a1 )
        & ~ ( c2_1 @ a1 ) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ( c2_1 @ a2 )
        & ~ ( c0_1 @ a2 )
        & ~ ( c3_1 @ a2 ) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ( c1_1 @ a4 )
        & ~ ( c2_1 @ a4 )
        & ~ ( c3_1 @ a4 ) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ~ ( c1_1 @ a5 )
        & ~ ( c2_1 @ a5 )
        & ~ ( c3_1 @ a5 ) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ( c1_1 @ a6 )
        & ( c3_1 @ a6 )
        & ~ ( c2_1 @ a6 ) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ( c1_1 @ a7 )
        & ( c3_1 @ a7 )
        & ~ ( c0_1 @ a7 ) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ( c0_1 @ a8 )
        & ( c1_1 @ a8 )
        & ~ ( c2_1 @ a8 ) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & ( c0_1 @ a14 )
        & ( c3_1 @ a14 )
        & ~ ( c2_1 @ a14 ) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ( c0_1 @ a15 )
        & ~ ( c1_1 @ a15 )
        & ~ ( c2_1 @ a15 ) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ( c0_1 @ a16 )
        & ~ ( c2_1 @ a16 )
        & ~ ( c3_1 @ a16 ) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ( c0_1 @ a18 )
        & ( c2_1 @ a18 )
        & ~ ( c3_1 @ a18 ) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ( c2_1 @ a19 )
        & ~ ( c1_1 @ a19 )
        & ~ ( c3_1 @ a19 ) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ~ ( c0_1 @ a21 )
        & ~ ( c1_1 @ a21 )
        & ~ ( c2_1 @ a21 ) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & ~ ( c0_1 @ a22 )
        & ~ ( c2_1 @ a22 )
        & ~ ( c3_1 @ a22 ) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ( c2_1 @ a24 )
        & ~ ( c0_1 @ a24 )
        & ~ ( c1_1 @ a24 ) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & ( c0_1 @ a25 )
        & ( c1_1 @ a25 )
        & ~ ( c3_1 @ a25 ) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & ( c1_1 @ a30 )
        & ~ ( c0_1 @ a30 )
        & ~ ( c2_1 @ a30 ) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ( c0_1 @ a31 )
        & ( c2_1 @ a31 )
        & ~ ( c1_1 @ a31 ) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ~ ( c0_1 @ a32 )
        & ~ ( c1_1 @ a32 )
        & ~ ( c3_1 @ a32 ) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ( c2_1 @ a33 )
        & ( c3_1 @ a33 )
        & ~ ( c0_1 @ a33 ) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ( c1_1 @ a37 )
        & ~ ( c0_1 @ a37 )
        & ~ ( c3_1 @ a37 ) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & ( c2_1 @ a42 )
        & ( c3_1 @ a42 )
        & ~ ( c1_1 @ a42 ) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ( c0_1 @ a45 )
        & ~ ( c1_1 @ a45 )
        & ~ ( c3_1 @ a45 ) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ( c3_1 @ a53 )
        & ~ ( c0_1 @ a53 )
        & ~ ( c1_1 @ a53 ) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ( c1_1 @ a3 )
        & ( c2_1 @ a3 )
        & ( c3_1 @ a3 ) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ( c0_1 @ a9 )
        & ( c1_1 @ a9 )
        & ( c2_1 @ a9 ) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ( c0_1 @ a10 )
        & ( c2_1 @ a10 )
        & ( c3_1 @ a10 ) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ( c0_1 @ a11 )
        & ( c1_1 @ a11 )
        & ( c3_1 @ a11 ) ) )
    & ( ! [U: $i] :
          ( ndr1_0
         => ( ( c0_1 @ U )
            | ( c1_1 @ U )
            | ( c2_1 @ U ) ) )
      | ! [V: $i] :
          ( ndr1_0
         => ( ( c0_1 @ V )
            | ( c2_1 @ V )
            | ( c3_1 @ V ) ) )
      | ! [W: $i] :
          ( ndr1_0
         => ( ( c0_1 @ W )
            | ( c2_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 )
            | ~ ( c0_1 @ Y )
            | ~ ( c2_1 @ Y ) ) )
      | hskp0 )
    & ( ! [Z: $i] :
          ( ndr1_0
         => ( ( c0_1 @ Z )
            | ( c1_1 @ Z )
            | ( c3_1 @ Z ) ) )
      | ! [X1: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X1 )
            | ~ ( c1_1 @ X1 )
            | ~ ( c2_1 @ X1 ) ) ) )
    & ( ! [X2: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X2 )
            | ( c1_1 @ X2 )
            | ( c3_1 @ X2 ) ) )
      | ! [X3: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X3 )
            | ~ ( c2_1 @ X3 )
            | ~ ( c3_1 @ X3 ) ) )
      | hskp1 )
    & ( ! [X4: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X4 )
            | ( c1_1 @ X4 )
            | ( c3_1 @ X4 ) ) )
      | ! [X5: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X5 )
            | ~ ( c0_1 @ X5 )
            | ~ ( c1_1 @ X5 ) ) )
      | hskp24 )
    & ( ! [X6: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X6 )
            | ( c1_1 @ X6 )
            | ~ ( c2_1 @ X6 ) ) )
      | ! [X7: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X7 )
            | ( c3_1 @ X7 )
            | ~ ( c1_1 @ X7 ) ) )
      | ! [X8: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X8 )
            | ~ ( c2_1 @ X8 )
            | ~ ( c3_1 @ X8 ) ) ) )
    & ( ! [X9: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X9 )
            | ( c1_1 @ X9 )
            | ~ ( c2_1 @ X9 ) ) )
      | ! [X10: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X10 )
            | ( c3_1 @ X10 )
            | ~ ( c0_1 @ X10 ) ) )
      | ! [X11: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X11 )
            | ( c3_1 @ X11 )
            | ~ ( c1_1 @ X11 ) ) ) )
    & ( ! [X12: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X12 )
            | ( c1_1 @ X12 )
            | ~ ( c2_1 @ X12 ) ) )
      | hskp2
      | hskp3 )
    & ( ! [X13: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X13 )
            | ( c1_1 @ X13 )
            | ~ ( c3_1 @ X13 ) ) )
      | ! [X14: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X14 )
            | ( c2_1 @ X14 )
            | ~ ( c0_1 @ X14 ) ) )
      | hskp4 )
    & ( ! [X15: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X15 )
            | ( c2_1 @ X15 )
            | ( c3_1 @ X15 ) ) )
      | ! [X16: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X16 )
            | ( c3_1 @ X16 )
            | ~ ( c2_1 @ X16 ) ) )
      | ! [X17: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X17 )
            | ( c2_1 @ X17 )
            | ( c3_1 @ X17 ) ) ) )
    & ( ! [X18: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X18 )
            | ( c2_1 @ X18 )
            | ( c3_1 @ X18 ) ) )
      | ! [X19: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X19 )
            | ( c3_1 @ X19 )
            | ~ ( c0_1 @ X19 ) ) )
      | ! [X20: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X20 )
            | ~ ( c1_1 @ X20 )
            | ~ ( c3_1 @ X20 ) ) ) )
    & ( ! [X21: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X21 )
            | ( c2_1 @ X21 )
            | ~ ( c1_1 @ X21 ) ) )
      | ! [X22: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X22 )
            | ~ ( c1_1 @ X22 )
            | ~ ( c2_1 @ X22 ) ) )
      | hskp5 )
    & ( ! [X23: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X23 )
            | ( c2_1 @ X23 )
            | ~ ( c3_1 @ X23 ) ) )
      | ! [X24: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X24 )
            | ~ ( c2_1 @ X24 )
            | ~ ( c3_1 @ X24 ) ) )
      | hskp6 )
    & ( ! [X25: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X25 )
            | ( c3_1 @ X25 )
            | ~ ( c2_1 @ X25 ) ) )
      | ! [X26: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X26 )
            | ( c3_1 @ X26 )
            | ~ ( c1_1 @ X26 ) ) )
      | ! [X27: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X27 )
            | ~ ( c1_1 @ X27 )
            | ~ ( c2_1 @ X27 ) ) ) )
    & ( ! [X28: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X28 )
            | ( c3_1 @ X28 )
            | ~ ( c2_1 @ X28 ) ) )
      | hskp25
      | hskp26 )
    & ( ! [X29: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X29 )
            | ~ ( c1_1 @ X29 )
            | ~ ( c2_1 @ X29 ) ) )
      | hskp27
      | hskp26 )
    & ( ! [X30: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X30 )
            | ~ ( c1_1 @ X30 )
            | ~ ( c2_1 @ X30 ) ) )
      | hskp27
      | hskp7 )
    & ( ! [X31: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X31 )
            | ~ ( c1_1 @ X31 )
            | ~ ( c2_1 @ X31 ) ) )
      | hskp8
      | hskp9 )
    & ( ! [X32: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X32 )
            | ~ ( c1_1 @ X32 )
            | ~ ( c3_1 @ X32 ) ) )
      | ! [X33: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X33 )
            | ( c3_1 @ X33 )
            | ~ ( c0_1 @ X33 ) ) )
      | hskp4 )
    & ( ! [X34: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X34 )
            | ~ ( c1_1 @ X34 )
            | ~ ( c3_1 @ X34 ) ) )
      | ! [X35: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X35 )
            | ~ ( c2_1 @ X35 )
            | ~ ( c3_1 @ X35 ) ) )
      | hskp10 )
    & ( ! [X36: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X36 )
            | ~ ( c2_1 @ X36 )
            | ~ ( c3_1 @ X36 ) ) )
      | ! [X37: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X37 )
            | ~ ( c0_1 @ X37 )
            | ~ ( c2_1 @ X37 ) ) )
      | hskp11 )
    & ( ! [X38: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X38 )
            | ~ ( c2_1 @ X38 )
            | ~ ( c3_1 @ X38 ) ) )
      | hskp27
      | hskp12 )
    & ( ! [X39: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X39 )
            | ( c2_1 @ X39 )
            | ~ ( c0_1 @ X39 ) ) )
      | ! [X40: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X40 )
            | ~ ( c0_1 @ X40 )
            | ~ ( c3_1 @ X40 ) ) )
      | hskp13 )
    & ( ! [X41: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X41 )
            | ( c2_1 @ X41 )
            | ~ ( c0_1 @ X41 ) ) )
      | hskp2
      | hskp14 )
    & ( ! [X42: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X42 )
            | ( c2_1 @ X42 )
            | ~ ( c3_1 @ X42 ) ) )
      | ! [X43: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X43 )
            | ~ ( c0_1 @ X43 )
            | ~ ( c3_1 @ X43 ) ) )
      | hskp15 )
    & ( ! [X44: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X44 )
            | ( c3_1 @ X44 )
            | ~ ( c2_1 @ X44 ) ) )
      | ! [X45: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X45 )
            | ~ ( c2_1 @ X45 )
            | ~ ( c3_1 @ X45 ) ) ) )
    & ( ! [X46: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X46 )
            | ( c3_1 @ X46 )
            | ~ ( c2_1 @ X46 ) ) )
      | hskp6
      | hskp26 )
    & ( ! [X47: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X47 )
            | ( c3_1 @ X47 )
            | ~ ( c2_1 @ X47 ) ) )
      | hskp7 )
    & ( ! [X48: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X48 )
            | ( c3_1 @ X48 )
            | ~ ( c0_1 @ X48 ) ) )
      | ! [X49: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X49 )
            | ( c3_1 @ X49 )
            | ~ ( c1_1 @ X49 ) ) )
      | ! [X50: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X50 )
            | ~ ( c2_1 @ X50 )
            | ~ ( c3_1 @ X50 ) ) ) )
    & ( ! [X51: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X51 )
            | ( c3_1 @ X51 )
            | ~ ( c0_1 @ X51 ) ) )
      | hskp26
      | hskp16 )
    & ( ! [X52: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X52 )
            | ~ ( c0_1 @ X52 )
            | ~ ( c3_1 @ X52 ) ) )
      | hskp17
      | hskp18 )
    & ( ! [X53: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X53 )
            | ~ ( c1_1 @ X53 )
            | ~ ( c3_1 @ X53 ) ) )
      | ! [X54: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X54 )
            | ~ ( c1_1 @ X54 )
            | ~ ( c2_1 @ X54 ) ) )
      | hskp19 )
    & ( ! [X55: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X55 )
            | ~ ( c1_1 @ X55 )
            | ~ ( c3_1 @ X55 ) ) )
      | hskp9
      | hskp24 )
    & ( ! [X56: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X56 )
            | ~ ( c0_1 @ X56 )
            | ~ ( c2_1 @ X56 ) ) )
      | hskp26
      | hskp20 )
    & ( ! [X57: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X57 )
            | ~ ( c1_1 @ X57 )
            | ~ ( c2_1 @ X57 ) ) )
      | hskp6
      | hskp10 )
    & ( hskp25
      | hskp17
      | hskp21 )
    & ( hskp6
      | hskp26
      | hskp22 )
    & ( hskp17
      | hskp8
      | hskp4 )
    & ( hskp7
      | hskp9
      | hskp13 )
    & ( hskp24
      | hskp23
      | hskp0 ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl32,plain,
    ! [X45: $i] :
      ( ( c0_1 @ X45 )
      | ( c1_1 @ X45 )
      | ~ ( c2_1 @ X45 )
      | ~ ndr1_0
      | hskp2
      | hskp3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl273,plain,
    ( ! [X45: $i] :
        ( ( c0_1 @ X45 )
        | ( c1_1 @ X45 )
        | ~ ( c2_1 @ X45 ) )
   <= ! [X45: $i] :
        ( ( c0_1 @ X45 )
        | ( c1_1 @ X45 )
        | ~ ( c2_1 @ X45 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl95,plain,
    ( ~ hskp14
    | ~ ( c1_1 @ a24 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl414,plain,
    ( ~ ( c1_1 @ a24 )
   <= ~ ( c1_1 @ a24 ) ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl1646,plain,
    ( ( ~ ( c2_1 @ a24 )
      | ( c0_1 @ a24 ) )
   <= ( ~ ( c1_1 @ a24 )
      & ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ( c1_1 @ X45 )
          | ~ ( c2_1 @ X45 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl273,zip_derived_cl414]) ).

thf('0',plain,
    ( ~ ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ( c1_1 @ X45 )
          | ~ ( c2_1 @ X45 ) )
    | ~ ( c2_1 @ a24 )
    | ( c0_1 @ a24 )
    | ( c1_1 @ a24 ) ),
    inference(split,[status(esa)],[zip_derived_cl1646]) ).

thf(zip_derived_cl35,plain,
    ! [X52: $i,X53: $i] :
      ( ( c0_1 @ X52 )
      | ( c1_1 @ X52 )
      | ( c3_1 @ X52 )
      | ~ ndr1_0
      | ( c3_1 @ X53 )
      | ~ ( c0_1 @ X53 )
      | ~ ( c1_1 @ X53 )
      | ~ ndr1_0
      | hskp24 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl286,plain,
    ( ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ( c1_1 @ X52 )
        | ( c3_1 @ X52 ) )
   <= ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ( c1_1 @ X52 )
        | ( c3_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl414_001,plain,
    ( ~ ( c1_1 @ a24 )
   <= ~ ( c1_1 @ a24 ) ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl1711,plain,
    ( ( ( c3_1 @ a24 )
      | ( c0_1 @ a24 ) )
   <= ( ~ ( c1_1 @ a24 )
      & ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ( c1_1 @ X52 )
          | ( c3_1 @ X52 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl286,zip_derived_cl414]) ).

thf('1',plain,
    ( ( c3_1 @ a24 )
    | ( c0_1 @ a24 )
    | ~ ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ( c1_1 @ X52 )
          | ( c3_1 @ X52 ) )
    | ( c1_1 @ a24 ) ),
    inference(split,[status(esa)],[zip_derived_cl1711]) ).

thf(zip_derived_cl53,plain,
    ( ~ hskp24
    | ( c1_1 @ a3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl330,plain,
    ( ( c1_1 @ a3 )
   <= ( c1_1 @ a3 ) ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(zip_derived_cl20,plain,
    ! [X22: $i,X23: $i] :
      ( ( c0_1 @ X22 )
      | ~ ( c1_1 @ X22 )
      | ~ ( c3_1 @ X22 )
      | ~ ndr1_0
      | ( c1_1 @ X23 )
      | ~ ( c2_1 @ X23 )
      | ~ ( c3_1 @ X23 )
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl226,plain,
    ( ! [X22: $i] :
        ( ( c0_1 @ X22 )
        | ~ ( c1_1 @ X22 )
        | ~ ( c3_1 @ X22 ) )
   <= ! [X22: $i] :
        ( ( c0_1 @ X22 )
        | ~ ( c1_1 @ X22 )
        | ~ ( c3_1 @ X22 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl1089,plain,
    ( ( ( c0_1 @ a3 )
      | ~ ( c3_1 @ a3 ) )
   <= ( ! [X22: $i] :
          ( ( c0_1 @ X22 )
          | ~ ( c1_1 @ X22 )
          | ~ ( c3_1 @ X22 ) )
      & ( c1_1 @ a3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl330,zip_derived_cl226]) ).

thf('2',plain,
    ( ( c0_1 @ a3 )
    | ~ ! [X22: $i] :
          ( ( c0_1 @ X22 )
          | ~ ( c1_1 @ X22 )
          | ~ ( c3_1 @ X22 ) )
    | ~ ( c3_1 @ a3 )
    | ~ ( c1_1 @ a3 ) ),
    inference(split,[status(esa)],[zip_derived_cl1089]) ).

thf(zip_derived_cl12,plain,
    ! [X10: $i] :
      ( ( c1_1 @ X10 )
      | ( c3_1 @ X10 )
      | ~ ( c2_1 @ X10 )
      | ~ ndr1_0
      | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl195,plain,
    ( ! [X10: $i] :
        ( ( c1_1 @ X10 )
        | ( c3_1 @ X10 )
        | ~ ( c2_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ( c1_1 @ X10 )
        | ( c3_1 @ X10 )
        | ~ ( c2_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i] :
      ( ~ ( c0_1 @ X0 )
      | ~ ( c1_1 @ X0 )
      | ~ ( c2_1 @ X0 )
      | ~ ndr1_0
      | hskp6
      | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl167,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl622,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ( c3_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 ) )
      & ! [X10: $i] :
          ( ( c1_1 @ X10 )
          | ( c3_1 @ X10 )
          | ~ ( c2_1 @ X10 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl195,zip_derived_cl167]) ).

thf(zip_derived_cl635,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 ) )
      & ! [X10: $i] :
          ( ( c1_1 @ X10 )
          | ( c3_1 @ X10 )
          | ~ ( c2_1 @ X10 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl622]) ).

thf(zip_derived_cl91,plain,
    ( ~ hskp15
    | ~ ( c3_1 @ a25 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl406,plain,
    ( ~ ( c3_1 @ a25 )
   <= ~ ( c3_1 @ a25 ) ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl1987,plain,
    ( ( ~ ( c2_1 @ a25 )
      | ~ ( c0_1 @ a25 ) )
   <= ( ~ ( c3_1 @ a25 )
      & ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 ) )
      & ! [X10: $i] :
          ( ( c1_1 @ X10 )
          | ( c3_1 @ X10 )
          | ~ ( c2_1 @ X10 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl635,zip_derived_cl406]) ).

thf('3',plain,
    ( ~ ( c0_1 @ a25 )
    | ( c3_1 @ a25 )
    | ~ ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 ) )
    | ~ ! [X10: $i] :
          ( ( c1_1 @ X10 )
          | ( c3_1 @ X10 )
          | ~ ( c2_1 @ X10 ) )
    | ~ ( c2_1 @ a25 ) ),
    inference(split,[status(esa)],[zip_derived_cl1987]) ).

thf(zip_derived_cl43,plain,
    ( ~ hskp27
    | ( c3_1 @ a11 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl310,plain,
    ( ( c3_1 @ a11 )
   <= ( c3_1 @ a11 ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl9,plain,
    ! [X5: $i] :
      ( ( c2_1 @ X5 )
      | ~ ( c0_1 @ X5 )
      | ~ ( c3_1 @ X5 )
      | ~ ndr1_0
      | hskp17
      | hskp18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl183,plain,
    ( ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c3_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c3_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl1058,plain,
    ( ( ( c2_1 @ a11 )
      | ~ ( c0_1 @ a11 ) )
   <= ( ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
      & ( c3_1 @ a11 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl310,zip_derived_cl183]) ).

thf('4',plain,
    ( ~ ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
    | ( c2_1 @ a11 )
    | ~ ( c0_1 @ a11 )
    | ~ ( c3_1 @ a11 ) ),
    inference(split,[status(esa)],[zip_derived_cl1058]) ).

thf(zip_derived_cl16,plain,
    ! [X16: $i] :
      ( ( c1_1 @ X16 )
      | ( c2_1 @ X16 )
      | ~ ( c0_1 @ X16 )
      | ~ ndr1_0
      | hskp2
      | hskp14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl209,plain,
    ( ! [X16: $i] :
        ( ( c1_1 @ X16 )
        | ( c2_1 @ X16 )
        | ~ ( c0_1 @ X16 ) )
   <= ! [X16: $i] :
        ( ( c1_1 @ X16 )
        | ( c2_1 @ X16 )
        | ~ ( c0_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl137,plain,
    ( ~ hskp3
    | ~ ( c1_1 @ a5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl498,plain,
    ( ~ ( c1_1 @ a5 )
   <= ~ ( c1_1 @ a5 ) ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(zip_derived_cl766,plain,
    ( ( ~ ( c0_1 @ a5 )
      | ( c2_1 @ a5 ) )
   <= ( ~ ( c1_1 @ a5 )
      & ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ( c2_1 @ X16 )
          | ~ ( c0_1 @ X16 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl209,zip_derived_cl498]) ).

thf('5',plain,
    ( ~ ( c0_1 @ a5 )
    | ( c2_1 @ a5 )
    | ~ ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ( c2_1 @ X16 )
          | ~ ( c0_1 @ X16 ) )
    | ( c1_1 @ a5 ) ),
    inference(split,[status(esa)],[zip_derived_cl766]) ).

thf(zip_derived_cl21,plain,
    ! [X24: $i,X25: $i] :
      ( ( c0_1 @ X24 )
      | ~ ( c1_1 @ X24 )
      | ~ ( c3_1 @ X24 )
      | ~ ndr1_0
      | ( c1_1 @ X25 )
      | ( c3_1 @ X25 )
      | ~ ( c0_1 @ X25 )
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl229,plain,
    ( ! [X25: $i] :
        ( ( c1_1 @ X25 )
        | ( c3_1 @ X25 )
        | ~ ( c0_1 @ X25 ) )
   <= ! [X25: $i] :
        ( ( c1_1 @ X25 )
        | ( c3_1 @ X25 )
        | ~ ( c0_1 @ X25 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl11,plain,
    ! [X7: $i,X8: $i,X9: $i] :
      ( ( c2_1 @ X7 )
      | ( c3_1 @ X7 )
      | ~ ( c0_1 @ X7 )
      | ~ ndr1_0
      | ( c2_1 @ X8 )
      | ( c3_1 @ X8 )
      | ~ ( c1_1 @ X8 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X9 )
      | ~ ( c2_1 @ X9 )
      | ~ ( c3_1 @ X9 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl192,plain,
    ( ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ( c3_1 @ X8 )
        | ~ ( c1_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ( c3_1 @ X8 )
        | ~ ( c1_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl972,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ( c3_1 @ X0 )
        | ( c2_1 @ X0 )
        | ( c3_1 @ X0 ) )
   <= ( ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ( c3_1 @ X8 )
          | ~ ( c1_1 @ X8 ) )
      & ! [X25: $i] :
          ( ( c1_1 @ X25 )
          | ( c3_1 @ X25 )
          | ~ ( c0_1 @ X25 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl229,zip_derived_cl192]) ).

thf(zip_derived_cl995,plain,
    ( ! [X0: $i] :
        ( ( c2_1 @ X0 )
        | ( c3_1 @ X0 )
        | ~ ( c0_1 @ X0 ) )
   <= ( ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ( c3_1 @ X8 )
          | ~ ( c1_1 @ X8 ) )
      & ! [X25: $i] :
          ( ( c1_1 @ X25 )
          | ( c3_1 @ X25 )
          | ~ ( c0_1 @ X25 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl972]) ).

thf(zip_derived_cl139,plain,
    ( ~ hskp3
    | ~ ( c3_1 @ a5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl502,plain,
    ( ~ ( c3_1 @ a5 )
   <= ~ ( c3_1 @ a5 ) ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf(zip_derived_cl3849,plain,
    ( ( ~ ( c0_1 @ a5 )
      | ( c2_1 @ a5 ) )
   <= ( ~ ( c3_1 @ a5 )
      & ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ( c3_1 @ X8 )
          | ~ ( c1_1 @ X8 ) )
      & ! [X25: $i] :
          ( ( c1_1 @ X25 )
          | ( c3_1 @ X25 )
          | ~ ( c0_1 @ X25 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl995,zip_derived_cl502]) ).

thf('6',plain,
    ( ~ ! [X25: $i] :
          ( ( c1_1 @ X25 )
          | ( c3_1 @ X25 )
          | ~ ( c0_1 @ X25 ) )
    | ~ ( c0_1 @ a5 )
    | ( c2_1 @ a5 )
    | ~ ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ( c3_1 @ X8 )
          | ~ ( c1_1 @ X8 ) )
    | ( c3_1 @ a5 ) ),
    inference(split,[status(esa)],[zip_derived_cl3849]) ).

thf(zip_derived_cl126,plain,
    ( ~ hskp6
    | ( c1_1 @ a8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl476,plain,
    ( ( c1_1 @ a8 )
   <= ( c1_1 @ a8 ) ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl28,plain,
    ! [X35: $i,X36: $i] :
      ( ( c0_1 @ X35 )
      | ( c2_1 @ X35 )
      | ~ ( c1_1 @ X35 )
      | ~ ndr1_0
      | ( c3_1 @ X36 )
      | ~ ( c1_1 @ X36 )
      | ~ ( c2_1 @ X36 )
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl257,plain,
    ( ! [X36: $i] :
        ( ( c3_1 @ X36 )
        | ~ ( c1_1 @ X36 )
        | ~ ( c2_1 @ X36 ) )
   <= ! [X36: $i] :
        ( ( c3_1 @ X36 )
        | ~ ( c1_1 @ X36 )
        | ~ ( c2_1 @ X36 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl1279,plain,
    ( ( ( c3_1 @ a8 )
      | ~ ( c2_1 @ a8 ) )
   <= ( ! [X36: $i] :
          ( ( c3_1 @ X36 )
          | ~ ( c1_1 @ X36 )
          | ~ ( c2_1 @ X36 ) )
      & ( c1_1 @ a8 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl476,zip_derived_cl257]) ).

thf(zip_derived_cl4360,plain,
    ( ( c3_1 @ a8 )
   <= ( c3_1 @ a8 ) ),
    inference(split,[status(esa)],[zip_derived_cl1279]) ).

thf(zip_derived_cl183_002,plain,
    ( ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c3_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c3_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl4362,plain,
    ( ( ( c2_1 @ a8 )
      | ~ ( c0_1 @ a8 ) )
   <= ( ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
      & ( c3_1 @ a8 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4360,zip_derived_cl183]) ).

thf('7',plain,
    ( ~ ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
    | ~ ( c3_1 @ a8 )
    | ( c2_1 @ a8 )
    | ~ ( c0_1 @ a8 ) ),
    inference(split,[status(esa)],[zip_derived_cl4362]) ).

thf(zip_derived_cl476_003,plain,
    ( ( c1_1 @ a8 )
   <= ( c1_1 @ a8 ) ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl192_004,plain,
    ( ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ( c3_1 @ X8 )
        | ~ ( c1_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ( c3_1 @ X8 )
        | ~ ( c1_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl1275,plain,
    ( ( ( c2_1 @ a8 )
      | ( c3_1 @ a8 ) )
   <= ( ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ( c3_1 @ X8 )
          | ~ ( c1_1 @ X8 ) )
      & ( c1_1 @ a8 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl476,zip_derived_cl192]) ).

thf('8',plain,
    ( ( c3_1 @ a8 )
    | ~ ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ( c3_1 @ X8 )
          | ~ ( c1_1 @ X8 ) )
    | ( c2_1 @ a8 )
    | ~ ( c1_1 @ a8 ) ),
    inference(split,[status(esa)],[zip_derived_cl1275]) ).

thf(zip_derived_cl30,plain,
    ! [X40: $i,X41: $i,X42: $i] :
      ( ( c0_1 @ X40 )
      | ( c2_1 @ X40 )
      | ( c3_1 @ X40 )
      | ~ ndr1_0
      | ( c0_1 @ X41 )
      | ( c3_1 @ X41 )
      | ~ ( c2_1 @ X41 )
      | ~ ndr1_0
      | ( c1_1 @ X42 )
      | ( c2_1 @ X42 )
      | ( c3_1 @ X42 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl265,plain,
    ( ! [X42: $i] :
        ( ( c1_1 @ X42 )
        | ( c2_1 @ X42 )
        | ( c3_1 @ X42 ) )
   <= ! [X42: $i] :
        ( ( c1_1 @ X42 )
        | ( c2_1 @ X42 )
        | ( c3_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl498_005,plain,
    ( ~ ( c1_1 @ a5 )
   <= ~ ( c1_1 @ a5 ) ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(zip_derived_cl1549,plain,
    ( ( ( c3_1 @ a5 )
      | ( c2_1 @ a5 ) )
   <= ( ~ ( c1_1 @ a5 )
      & ! [X42: $i] :
          ( ( c1_1 @ X42 )
          | ( c2_1 @ X42 )
          | ( c3_1 @ X42 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl265,zip_derived_cl498]) ).

thf('9',plain,
    ( ~ ! [X42: $i] :
          ( ( c1_1 @ X42 )
          | ( c2_1 @ X42 )
          | ( c3_1 @ X42 ) )
    | ( c1_1 @ a5 )
    | ( c2_1 @ a5 )
    | ( c3_1 @ a5 ) ),
    inference(split,[status(esa)],[zip_derived_cl1549]) ).

thf(zip_derived_cl69,plain,
    ( ~ hskp20
    | ( c1_1 @ a37 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl362,plain,
    ( ( c1_1 @ a37 )
   <= ( c1_1 @ a37 ) ),
    inference(split,[status(esa)],[zip_derived_cl69]) ).

thf(zip_derived_cl34,plain,
    ! [X49: $i,X50: $i,X51: $i] :
      ( ( c0_1 @ X49 )
      | ( c1_1 @ X49 )
      | ~ ( c2_1 @ X49 )
      | ~ ndr1_0
      | ( c0_1 @ X50 )
      | ( c3_1 @ X50 )
      | ~ ( c1_1 @ X50 )
      | ~ ndr1_0
      | ( c1_1 @ X51 )
      | ~ ( c2_1 @ X51 )
      | ~ ( c3_1 @ X51 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl282,plain,
    ( ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ( c3_1 @ X50 )
        | ~ ( c1_1 @ X50 ) )
   <= ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ( c3_1 @ X50 )
        | ~ ( c1_1 @ X50 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl1504,plain,
    ( ( ( c0_1 @ a37 )
      | ( c3_1 @ a37 ) )
   <= ( ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ( c3_1 @ X50 )
          | ~ ( c1_1 @ X50 ) )
      & ( c1_1 @ a37 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl362,zip_derived_cl282]) ).

thf('10',plain,
    ( ~ ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ( c3_1 @ X50 )
          | ~ ( c1_1 @ X50 ) )
    | ( c0_1 @ a37 )
    | ( c3_1 @ a37 )
    | ~ ( c1_1 @ a37 ) ),
    inference(split,[status(esa)],[zip_derived_cl1504]) ).

thf(zip_derived_cl134,plain,
    ( ~ hskp4
    | ( c3_1 @ a6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl492,plain,
    ( ( c3_1 @ a6 )
   <= ( c3_1 @ a6 ) ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl183_006,plain,
    ( ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c3_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c3_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl1298,plain,
    ( ( ( c2_1 @ a6 )
      | ~ ( c0_1 @ a6 ) )
   <= ( ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
      & ( c3_1 @ a6 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl492,zip_derived_cl183]) ).

thf('11',plain,
    ( ~ ( c0_1 @ a6 )
    | ~ ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
    | ( c2_1 @ a6 )
    | ~ ( c3_1 @ a6 ) ),
    inference(split,[status(esa)],[zip_derived_cl1298]) ).

thf(zip_derived_cl17,plain,
    ! [X17: $i,X18: $i] :
      ( ( c1_1 @ X17 )
      | ( c2_1 @ X17 )
      | ~ ( c0_1 @ X17 )
      | ~ ndr1_0
      | ( c1_1 @ X18 )
      | ~ ( c0_1 @ X18 )
      | ~ ( c3_1 @ X18 )
      | ~ ndr1_0
      | hskp13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl213,plain,
    ( ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ~ ( c0_1 @ X18 )
        | ~ ( c3_1 @ X18 ) )
   <= ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ~ ( c0_1 @ X18 )
        | ~ ( c3_1 @ X18 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl83,plain,
    ( ~ hskp17
    | ~ ( c1_1 @ a31 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl390,plain,
    ( ~ ( c1_1 @ a31 )
   <= ~ ( c1_1 @ a31 ) ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl809,plain,
    ( ( ~ ( c3_1 @ a31 )
      | ~ ( c0_1 @ a31 ) )
   <= ( ~ ( c1_1 @ a31 )
      & ! [X18: $i] :
          ( ( c1_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c3_1 @ X18 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl213,zip_derived_cl390]) ).

thf('12',plain,
    ( ~ ( c3_1 @ a31 )
    | ~ ! [X18: $i] :
          ( ( c1_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c3_1 @ X18 ) )
    | ( c1_1 @ a31 )
    | ~ ( c0_1 @ a31 ) ),
    inference(split,[status(esa)],[zip_derived_cl809]) ).

thf(zip_derived_cl133,plain,
    ( ~ hskp4
    | ( c1_1 @ a6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl490,plain,
    ( ( c1_1 @ a6 )
   <= ( c1_1 @ a6 ) ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf(zip_derived_cl226_007,plain,
    ( ! [X22: $i] :
        ( ( c0_1 @ X22 )
        | ~ ( c1_1 @ X22 )
        | ~ ( c3_1 @ X22 ) )
   <= ! [X22: $i] :
        ( ( c0_1 @ X22 )
        | ~ ( c1_1 @ X22 )
        | ~ ( c3_1 @ X22 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl1294,plain,
    ( ( ( c0_1 @ a6 )
      | ~ ( c3_1 @ a6 ) )
   <= ( ! [X22: $i] :
          ( ( c0_1 @ X22 )
          | ~ ( c1_1 @ X22 )
          | ~ ( c3_1 @ X22 ) )
      & ( c1_1 @ a6 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl490,zip_derived_cl226]) ).

thf('13',plain,
    ( ( c0_1 @ a6 )
    | ~ ! [X22: $i] :
          ( ( c0_1 @ X22 )
          | ~ ( c1_1 @ X22 )
          | ~ ( c3_1 @ X22 ) )
    | ~ ( c3_1 @ a6 )
    | ~ ( c1_1 @ a6 ) ),
    inference(split,[status(esa)],[zip_derived_cl1294]) ).

thf(zip_derived_cl995_008,plain,
    ( ! [X0: $i] :
        ( ( c2_1 @ X0 )
        | ( c3_1 @ X0 )
        | ~ ( c0_1 @ X0 ) )
   <= ( ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ( c3_1 @ X8 )
          | ~ ( c1_1 @ X8 ) )
      & ! [X25: $i] :
          ( ( c1_1 @ X25 )
          | ( c3_1 @ X25 )
          | ~ ( c0_1 @ X25 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl972]) ).

thf(zip_derived_cl115,plain,
    ( ~ hskp9
    | ~ ( c3_1 @ a16 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl454,plain,
    ( ~ ( c3_1 @ a16 )
   <= ~ ( c3_1 @ a16 ) ),
    inference(split,[status(esa)],[zip_derived_cl115]) ).

thf(zip_derived_cl3854,plain,
    ( ( ~ ( c0_1 @ a16 )
      | ( c2_1 @ a16 ) )
   <= ( ~ ( c3_1 @ a16 )
      & ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ( c3_1 @ X8 )
          | ~ ( c1_1 @ X8 ) )
      & ! [X25: $i] :
          ( ( c1_1 @ X25 )
          | ( c3_1 @ X25 )
          | ~ ( c0_1 @ X25 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl995,zip_derived_cl454]) ).

thf('14',plain,
    ( ~ ! [X25: $i] :
          ( ( c1_1 @ X25 )
          | ( c3_1 @ X25 )
          | ~ ( c0_1 @ X25 ) )
    | ( c2_1 @ a16 )
    | ~ ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ( c3_1 @ X8 )
          | ~ ( c1_1 @ X8 ) )
    | ~ ( c0_1 @ a16 )
    | ( c3_1 @ a16 ) ),
    inference(split,[status(esa)],[zip_derived_cl3854]) ).

thf(zip_derived_cl25,plain,
    ! [X29: $i] :
      ( ( c0_1 @ X29 )
      | ( c3_1 @ X29 )
      | ~ ( c2_1 @ X29 )
      | ~ ndr1_0
      | hskp25
      | hskp26 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl245,plain,
    ( ! [X29: $i] :
        ( ( c0_1 @ X29 )
        | ( c3_1 @ X29 )
        | ~ ( c2_1 @ X29 ) )
   <= ! [X29: $i] :
        ( ( c0_1 @ X29 )
        | ( c3_1 @ X29 )
        | ~ ( c2_1 @ X29 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl213_009,plain,
    ( ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ~ ( c0_1 @ X18 )
        | ~ ( c3_1 @ X18 ) )
   <= ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ~ ( c0_1 @ X18 )
        | ~ ( c3_1 @ X18 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl414_010,plain,
    ( ~ ( c1_1 @ a24 )
   <= ~ ( c1_1 @ a24 ) ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl808,plain,
    ( ( ~ ( c3_1 @ a24 )
      | ~ ( c0_1 @ a24 ) )
   <= ( ~ ( c1_1 @ a24 )
      & ! [X18: $i] :
          ( ( c1_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c3_1 @ X18 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl213,zip_derived_cl414]) ).

thf(zip_derived_cl842,plain,
    ( ~ ( c3_1 @ a24 )
   <= ~ ( c3_1 @ a24 ) ),
    inference(split,[status(esa)],[zip_derived_cl808]) ).

thf(zip_derived_cl1119,plain,
    ( ( ~ ( c2_1 @ a24 )
      | ( c0_1 @ a24 ) )
   <= ( ~ ( c3_1 @ a24 )
      & ! [X29: $i] :
          ( ( c0_1 @ X29 )
          | ( c3_1 @ X29 )
          | ~ ( c2_1 @ X29 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl245,zip_derived_cl842]) ).

thf('15',plain,
    ( ( c3_1 @ a24 )
    | ~ ! [X29: $i] :
          ( ( c0_1 @ X29 )
          | ( c3_1 @ X29 )
          | ~ ( c2_1 @ X29 ) )
    | ( c0_1 @ a24 )
    | ~ ( c2_1 @ a24 ) ),
    inference(split,[status(esa)],[zip_derived_cl1119]) ).

thf(zip_derived_cl85,plain,
    ( ~ hskp16
    | ( c1_1 @ a30 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl394,plain,
    ( ( c1_1 @ a30 )
   <= ( c1_1 @ a30 ) ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf(zip_derived_cl192_011,plain,
    ( ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ( c3_1 @ X8 )
        | ~ ( c1_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ( c3_1 @ X8 )
        | ~ ( c1_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl1182,plain,
    ( ( ( c2_1 @ a30 )
      | ( c3_1 @ a30 ) )
   <= ( ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ( c3_1 @ X8 )
          | ~ ( c1_1 @ X8 ) )
      & ( c1_1 @ a30 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl394,zip_derived_cl192]) ).

thf('16',plain,
    ( ( c3_1 @ a30 )
    | ~ ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ( c3_1 @ X8 )
          | ~ ( c1_1 @ X8 ) )
    | ( c2_1 @ a30 )
    | ~ ( c1_1 @ a30 ) ),
    inference(split,[status(esa)],[zip_derived_cl1182]) ).

thf('17',plain,
    ( ( c1_1 @ a37 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl69]) ).

thf(zip_derived_cl362_012,plain,
    ( ( c1_1 @ a37 )
   <= ( c1_1 @ a37 ) ),
    inference(split,[status(esa)],[zip_derived_cl69]) ).

thf(zip_derived_cl192_013,plain,
    ( ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ( c3_1 @ X8 )
        | ~ ( c1_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ( c3_1 @ X8 )
        | ~ ( c1_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl1157,plain,
    ( ( ( c2_1 @ a37 )
      | ( c3_1 @ a37 ) )
   <= ( ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ( c3_1 @ X8 )
          | ~ ( c1_1 @ X8 ) )
      & ( c1_1 @ a37 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl362,zip_derived_cl192]) ).

thf('18',plain,
    ( ( c2_1 @ a37 )
    | ~ ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ( c3_1 @ X8 )
          | ~ ( c1_1 @ X8 ) )
    | ( c3_1 @ a37 )
    | ~ ( c1_1 @ a37 ) ),
    inference(split,[status(esa)],[zip_derived_cl1157]) ).

thf(zip_derived_cl362_014,plain,
    ( ( c1_1 @ a37 )
   <= ( c1_1 @ a37 ) ),
    inference(split,[status(esa)],[zip_derived_cl69]) ).

thf(zip_derived_cl22,plain,
    ! [X26: $i] :
      ( ( c0_1 @ X26 )
      | ~ ( c1_1 @ X26 )
      | ~ ( c2_1 @ X26 )
      | ~ ndr1_0
      | hskp8
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl233,plain,
    ( ! [X26: $i] :
        ( ( c0_1 @ X26 )
        | ~ ( c1_1 @ X26 )
        | ~ ( c2_1 @ X26 ) )
   <= ! [X26: $i] :
        ( ( c0_1 @ X26 )
        | ~ ( c1_1 @ X26 )
        | ~ ( c2_1 @ X26 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl1159,plain,
    ( ( ( c0_1 @ a37 )
      | ~ ( c2_1 @ a37 ) )
   <= ( ! [X26: $i] :
          ( ( c0_1 @ X26 )
          | ~ ( c1_1 @ X26 )
          | ~ ( c2_1 @ X26 ) )
      & ( c1_1 @ a37 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl362,zip_derived_cl233]) ).

thf('19',plain,
    ( ~ ! [X26: $i] :
          ( ( c0_1 @ X26 )
          | ~ ( c1_1 @ X26 )
          | ~ ( c2_1 @ X26 ) )
    | ~ ( c2_1 @ a37 )
    | ( c0_1 @ a37 )
    | ~ ( c1_1 @ a37 ) ),
    inference(split,[status(esa)],[zip_derived_cl1159]) ).

thf(zip_derived_cl273_015,plain,
    ( ! [X45: $i] :
        ( ( c0_1 @ X45 )
        | ( c1_1 @ X45 )
        | ~ ( c2_1 @ X45 ) )
   <= ! [X45: $i] :
        ( ( c0_1 @ X45 )
        | ( c1_1 @ X45 )
        | ~ ( c2_1 @ X45 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl233_016,plain,
    ( ! [X26: $i] :
        ( ( c0_1 @ X26 )
        | ~ ( c1_1 @ X26 )
        | ~ ( c2_1 @ X26 ) )
   <= ! [X26: $i] :
        ( ( c0_1 @ X26 )
        | ~ ( c1_1 @ X26 )
        | ~ ( c2_1 @ X26 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl1636,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ( c0_1 @ X0 )
        | ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X26: $i] :
          ( ( c0_1 @ X26 )
          | ~ ( c1_1 @ X26 )
          | ~ ( c2_1 @ X26 ) )
      & ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ( c1_1 @ X45 )
          | ~ ( c2_1 @ X45 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl273,zip_derived_cl233]) ).

thf(zip_derived_cl1667,plain,
    ( ! [X0: $i] :
        ( ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X26: $i] :
          ( ( c0_1 @ X26 )
          | ~ ( c1_1 @ X26 )
          | ~ ( c2_1 @ X26 ) )
      & ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ( c1_1 @ X45 )
          | ~ ( c2_1 @ X45 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1636]) ).

thf(zip_derived_cl70,plain,
    ( ~ hskp20
    | ~ ( c0_1 @ a37 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl364,plain,
    ( ~ ( c0_1 @ a37 )
   <= ~ ( c0_1 @ a37 ) ),
    inference(split,[status(esa)],[zip_derived_cl70]) ).

thf(zip_derived_cl2681,plain,
    ( ~ ( c2_1 @ a37 )
   <= ( ~ ( c0_1 @ a37 )
      & ! [X26: $i] :
          ( ( c0_1 @ X26 )
          | ~ ( c1_1 @ X26 )
          | ~ ( c2_1 @ X26 ) )
      & ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ( c1_1 @ X45 )
          | ~ ( c2_1 @ X45 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1667,zip_derived_cl364]) ).

thf(zip_derived_cl71,plain,
    ( ~ hskp20
    | ~ ( c3_1 @ a37 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl366,plain,
    ( ~ ( c3_1 @ a37 )
   <= ~ ( c3_1 @ a37 ) ),
    inference(split,[status(esa)],[zip_derived_cl71]) ).

thf(zip_derived_cl10,plain,
    ! [X6: $i] :
      ( ( c2_1 @ X6 )
      | ( c3_1 @ X6 )
      | ~ ( c0_1 @ X6 )
      | ~ ndr1_0
      | hskp26
      | hskp16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl187,plain,
    ( ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl594,plain,
    ( ( ( c2_1 @ a37 )
      | ~ ( c0_1 @ a37 ) )
   <= ( ~ ( c3_1 @ a37 )
      & ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl366,zip_derived_cl187]) ).

thf(zip_derived_cl601,plain,
    ( ( c2_1 @ a37 )
   <= ( c2_1 @ a37 ) ),
    inference(split,[status(esa)],[zip_derived_cl594]) ).

thf('20',plain,
    ( ~ ! [X26: $i] :
          ( ( c0_1 @ X26 )
          | ~ ( c1_1 @ X26 )
          | ~ ( c2_1 @ X26 ) )
    | ~ ( c2_1 @ a37 )
    | ( c0_1 @ a37 )
    | ~ ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ( c1_1 @ X45 )
          | ~ ( c2_1 @ X45 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2681,zip_derived_cl601]) ).

thf(zip_derived_cl33,plain,
    ! [X46: $i,X47: $i,X48: $i] :
      ( ( c0_1 @ X46 )
      | ( c1_1 @ X46 )
      | ~ ( c2_1 @ X46 )
      | ~ ndr1_0
      | ( c1_1 @ X47 )
      | ( c3_1 @ X47 )
      | ~ ( c0_1 @ X47 )
      | ~ ndr1_0
      | ( c2_1 @ X48 )
      | ( c3_1 @ X48 )
      | ~ ( c1_1 @ X48 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('21',plain,
    ( ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ( c3_1 @ X8 )
        | ~ ( c1_1 @ X8 ) )
    | ! [X45: $i] :
        ( ( c0_1 @ X45 )
        | ( c1_1 @ X45 )
        | ~ ( c2_1 @ X45 ) )
    | ~ ndr1_0
    | ! [X25: $i] :
        ( ( c1_1 @ X25 )
        | ( c3_1 @ X25 )
        | ~ ( c0_1 @ X25 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf('22',plain,
    ( ~ ( c3_1 @ a37 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl71]) ).

thf(zip_derived_cl229_017,plain,
    ( ! [X25: $i] :
        ( ( c1_1 @ X25 )
        | ( c3_1 @ X25 )
        | ~ ( c0_1 @ X25 ) )
   <= ! [X25: $i] :
        ( ( c1_1 @ X25 )
        | ( c3_1 @ X25 )
        | ~ ( c0_1 @ X25 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl390_018,plain,
    ( ~ ( c1_1 @ a31 )
   <= ~ ( c1_1 @ a31 ) ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl979,plain,
    ( ( ~ ( c0_1 @ a31 )
      | ( c3_1 @ a31 ) )
   <= ( ~ ( c1_1 @ a31 )
      & ! [X25: $i] :
          ( ( c1_1 @ X25 )
          | ( c3_1 @ X25 )
          | ~ ( c0_1 @ X25 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl229,zip_derived_cl390]) ).

thf('23',plain,
    ( ~ ! [X25: $i] :
          ( ( c1_1 @ X25 )
          | ( c3_1 @ X25 )
          | ~ ( c0_1 @ X25 ) )
    | ( c3_1 @ a31 )
    | ~ ( c0_1 @ a31 )
    | ( c1_1 @ a31 ) ),
    inference(split,[status(esa)],[zip_derived_cl979]) ).

thf('24',plain,
    ( ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ( c1_1 @ X52 )
        | ( c3_1 @ X52 ) )
    | ! [X53: $i] :
        ( ( c3_1 @ X53 )
        | ~ ( c0_1 @ X53 )
        | ~ ( c1_1 @ X53 ) )
    | ~ ndr1_0
    | hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl209_019,plain,
    ( ! [X16: $i] :
        ( ( c1_1 @ X16 )
        | ( c2_1 @ X16 )
        | ~ ( c0_1 @ X16 ) )
   <= ! [X16: $i] :
        ( ( c1_1 @ X16 )
        | ( c2_1 @ X16 )
        | ~ ( c0_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl285,plain,
    ( ! [X53: $i] :
        ( ( c3_1 @ X53 )
        | ~ ( c0_1 @ X53 )
        | ~ ( c1_1 @ X53 ) )
   <= ! [X53: $i] :
        ( ( c3_1 @ X53 )
        | ~ ( c0_1 @ X53 )
        | ~ ( c1_1 @ X53 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl1361,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ( c2_1 @ X0 )
        | ( c3_1 @ X0 )
        | ~ ( c0_1 @ X0 ) )
   <= ( ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ( c2_1 @ X16 )
          | ~ ( c0_1 @ X16 ) )
      & ! [X53: $i] :
          ( ( c3_1 @ X53 )
          | ~ ( c0_1 @ X53 )
          | ~ ( c1_1 @ X53 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl209,zip_derived_cl285]) ).

thf(zip_derived_cl1376,plain,
    ( ! [X0: $i] :
        ( ( c3_1 @ X0 )
        | ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 ) )
   <= ( ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ( c2_1 @ X16 )
          | ~ ( c0_1 @ X16 ) )
      & ! [X53: $i] :
          ( ( c3_1 @ X53 )
          | ~ ( c0_1 @ X53 )
          | ~ ( c1_1 @ X53 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1361]) ).

thf(zip_derived_cl454_020,plain,
    ( ~ ( c3_1 @ a16 )
   <= ~ ( c3_1 @ a16 ) ),
    inference(split,[status(esa)],[zip_derived_cl115]) ).

thf(zip_derived_cl5607,plain,
    ( ( ~ ( c0_1 @ a16 )
      | ( c2_1 @ a16 ) )
   <= ( ~ ( c3_1 @ a16 )
      & ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ( c2_1 @ X16 )
          | ~ ( c0_1 @ X16 ) )
      & ! [X53: $i] :
          ( ( c3_1 @ X53 )
          | ~ ( c0_1 @ X53 )
          | ~ ( c1_1 @ X53 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1376,zip_derived_cl454]) ).

thf('25',plain,
    ( ~ ! [X53: $i] :
          ( ( c3_1 @ X53 )
          | ~ ( c0_1 @ X53 )
          | ~ ( c1_1 @ X53 ) )
    | ~ ( c0_1 @ a16 )
    | ~ ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ( c2_1 @ X16 )
          | ~ ( c0_1 @ X16 ) )
    | ( c2_1 @ a16 )
    | ( c3_1 @ a16 ) ),
    inference(split,[status(esa)],[zip_derived_cl5607]) ).

thf(zip_derived_cl273_021,plain,
    ( ! [X45: $i] :
        ( ( c0_1 @ X45 )
        | ( c1_1 @ X45 )
        | ~ ( c2_1 @ X45 ) )
   <= ! [X45: $i] :
        ( ( c0_1 @ X45 )
        | ( c1_1 @ X45 )
        | ~ ( c2_1 @ X45 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl67,plain,
    ( ~ hskp21
    | ~ ( c1_1 @ a42 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl358,plain,
    ( ~ ( c1_1 @ a42 )
   <= ~ ( c1_1 @ a42 ) ),
    inference(split,[status(esa)],[zip_derived_cl67]) ).

thf(zip_derived_cl1649,plain,
    ( ( ~ ( c2_1 @ a42 )
      | ( c0_1 @ a42 ) )
   <= ( ~ ( c1_1 @ a42 )
      & ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ( c1_1 @ X45 )
          | ~ ( c2_1 @ X45 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl273,zip_derived_cl358]) ).

thf('26',plain,
    ( ( c0_1 @ a42 )
    | ~ ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ( c1_1 @ X45 )
          | ~ ( c2_1 @ X45 ) )
    | ( c1_1 @ a42 )
    | ~ ( c2_1 @ a42 ) ),
    inference(split,[status(esa)],[zip_derived_cl1649]) ).

thf(zip_derived_cl394_022,plain,
    ( ( c1_1 @ a30 )
   <= ( c1_1 @ a30 ) ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf(zip_derived_cl226_023,plain,
    ( ! [X22: $i] :
        ( ( c0_1 @ X22 )
        | ~ ( c1_1 @ X22 )
        | ~ ( c3_1 @ X22 ) )
   <= ! [X22: $i] :
        ( ( c0_1 @ X22 )
        | ~ ( c1_1 @ X22 )
        | ~ ( c3_1 @ X22 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl1183,plain,
    ( ( ( c0_1 @ a30 )
      | ~ ( c3_1 @ a30 ) )
   <= ( ! [X22: $i] :
          ( ( c0_1 @ X22 )
          | ~ ( c1_1 @ X22 )
          | ~ ( c3_1 @ X22 ) )
      & ( c1_1 @ a30 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl394,zip_derived_cl226]) ).

thf('27',plain,
    ( ~ ! [X22: $i] :
          ( ( c0_1 @ X22 )
          | ~ ( c1_1 @ X22 )
          | ~ ( c3_1 @ X22 ) )
    | ~ ( c3_1 @ a30 )
    | ( c0_1 @ a30 )
    | ~ ( c1_1 @ a30 ) ),
    inference(split,[status(esa)],[zip_derived_cl1183]) ).

thf(zip_derived_cl66,plain,
    ( ~ hskp21
    | ( c3_1 @ a42 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl356,plain,
    ( ( c3_1 @ a42 )
   <= ( c3_1 @ a42 ) ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf(zip_derived_cl191,plain,
    ( ! [X9: $i] :
        ( ~ ( c0_1 @ X9 )
        | ~ ( c2_1 @ X9 )
        | ~ ( c3_1 @ X9 ) )
   <= ! [X9: $i] :
        ( ~ ( c0_1 @ X9 )
        | ~ ( c2_1 @ X9 )
        | ~ ( c3_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl1151,plain,
    ( ( ~ ( c0_1 @ a42 )
      | ~ ( c2_1 @ a42 ) )
   <= ( ! [X9: $i] :
          ( ~ ( c0_1 @ X9 )
          | ~ ( c2_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
      & ( c3_1 @ a42 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl356,zip_derived_cl191]) ).

thf('28',plain,
    ( ~ ( c0_1 @ a42 )
    | ~ ( c3_1 @ a42 )
    | ~ ! [X9: $i] :
          ( ~ ( c0_1 @ X9 )
          | ~ ( c2_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
    | ~ ( c2_1 @ a42 ) ),
    inference(split,[status(esa)],[zip_derived_cl1151]) ).

thf(zip_derived_cl635_024,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 ) )
      & ! [X10: $i] :
          ( ( c1_1 @ X10 )
          | ( c3_1 @ X10 )
          | ~ ( c2_1 @ X10 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl622]) ).

thf(zip_derived_cl111,plain,
    ( ~ hskp10
    | ~ ( c3_1 @ a18 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl446,plain,
    ( ~ ( c3_1 @ a18 )
   <= ~ ( c3_1 @ a18 ) ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl1982,plain,
    ( ( ~ ( c2_1 @ a18 )
      | ~ ( c0_1 @ a18 ) )
   <= ( ~ ( c3_1 @ a18 )
      & ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 ) )
      & ! [X10: $i] :
          ( ( c1_1 @ X10 )
          | ( c3_1 @ X10 )
          | ~ ( c2_1 @ X10 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl635,zip_derived_cl446]) ).

thf('29',plain,
    ( ~ ( c0_1 @ a18 )
    | ( c3_1 @ a18 )
    | ~ ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 ) )
    | ~ ! [X10: $i] :
          ( ( c1_1 @ X10 )
          | ( c3_1 @ X10 )
          | ~ ( c2_1 @ X10 ) )
    | ~ ( c2_1 @ a18 ) ),
    inference(split,[status(esa)],[zip_derived_cl1982]) ).

thf('30',plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c2_1 @ X23 )
        | ~ ( c3_1 @ X23 ) )
    | hskp10
    | ~ ndr1_0
    | ! [X22: $i] :
        ( ( c0_1 @ X22 )
        | ~ ( c1_1 @ X22 )
        | ~ ( c3_1 @ X22 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl29,plain,
    ! [X37: $i,X38: $i,X39: $i] :
      ( ( c0_1 @ X37 )
      | ( c2_1 @ X37 )
      | ( c3_1 @ X37 )
      | ~ ndr1_0
      | ( c1_1 @ X38 )
      | ( c3_1 @ X38 )
      | ~ ( c0_1 @ X38 )
      | ~ ndr1_0
      | ( c2_1 @ X39 )
      | ~ ( c1_1 @ X39 )
      | ~ ( c3_1 @ X39 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl263,plain,
    ( ! [X37: $i] :
        ( ( c0_1 @ X37 )
        | ( c2_1 @ X37 )
        | ( c3_1 @ X37 ) )
   <= ! [X37: $i] :
        ( ( c0_1 @ X37 )
        | ( c2_1 @ X37 )
        | ( c3_1 @ X37 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl502_025,plain,
    ( ~ ( c3_1 @ a5 )
   <= ~ ( c3_1 @ a5 ) ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf(zip_derived_cl1410,plain,
    ( ( ( c2_1 @ a5 )
      | ( c0_1 @ a5 ) )
   <= ( ~ ( c3_1 @ a5 )
      & ! [X37: $i] :
          ( ( c0_1 @ X37 )
          | ( c2_1 @ X37 )
          | ( c3_1 @ X37 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl263,zip_derived_cl502]) ).

thf('31',plain,
    ( ( c0_1 @ a5 )
    | ( c3_1 @ a5 )
    | ~ ! [X37: $i] :
          ( ( c0_1 @ X37 )
          | ( c2_1 @ X37 )
          | ( c3_1 @ X37 ) )
    | ( c2_1 @ a5 ) ),
    inference(split,[status(esa)],[zip_derived_cl1410]) ).

thf(zip_derived_cl282_026,plain,
    ( ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ( c3_1 @ X50 )
        | ~ ( c1_1 @ X50 ) )
   <= ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ( c3_1 @ X50 )
        | ~ ( c1_1 @ X50 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl265_027,plain,
    ( ! [X42: $i] :
        ( ( c1_1 @ X42 )
        | ( c2_1 @ X42 )
        | ( c3_1 @ X42 ) )
   <= ! [X42: $i] :
        ( ( c1_1 @ X42 )
        | ( c2_1 @ X42 )
        | ( c3_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl1559,plain,
    ( ! [X0: $i] :
        ( ( c3_1 @ X0 )
        | ( c0_1 @ X0 )
        | ( c2_1 @ X0 )
        | ( c3_1 @ X0 ) )
   <= ( ! [X42: $i] :
          ( ( c1_1 @ X42 )
          | ( c2_1 @ X42 )
          | ( c3_1 @ X42 ) )
      & ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ( c3_1 @ X50 )
          | ~ ( c1_1 @ X50 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl282,zip_derived_cl265]) ).

thf(zip_derived_cl1571,plain,
    ( ! [X0: $i] :
        ( ( c2_1 @ X0 )
        | ( c0_1 @ X0 )
        | ( c3_1 @ X0 ) )
   <= ( ! [X42: $i] :
          ( ( c1_1 @ X42 )
          | ( c2_1 @ X42 )
          | ( c3_1 @ X42 ) )
      & ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ( c3_1 @ X50 )
          | ~ ( c1_1 @ X50 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1559]) ).

thf(zip_derived_cl502_028,plain,
    ( ~ ( c3_1 @ a5 )
   <= ~ ( c3_1 @ a5 ) ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf(zip_derived_cl6058,plain,
    ( ( ( c0_1 @ a5 )
      | ( c2_1 @ a5 ) )
   <= ( ~ ( c3_1 @ a5 )
      & ! [X42: $i] :
          ( ( c1_1 @ X42 )
          | ( c2_1 @ X42 )
          | ( c3_1 @ X42 ) )
      & ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ( c3_1 @ X50 )
          | ~ ( c1_1 @ X50 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1571,zip_derived_cl502]) ).

thf('32',plain,
    ( ~ ! [X42: $i] :
          ( ( c1_1 @ X42 )
          | ( c2_1 @ X42 )
          | ( c3_1 @ X42 ) )
    | ( c0_1 @ a5 )
    | ~ ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ( c3_1 @ X50 )
          | ~ ( c1_1 @ X50 ) )
    | ( c3_1 @ a5 )
    | ( c2_1 @ a5 ) ),
    inference(split,[status(esa)],[zip_derived_cl6058]) ).

thf(zip_derived_cl286_029,plain,
    ( ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ( c1_1 @ X52 )
        | ( c3_1 @ X52 ) )
   <= ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ( c1_1 @ X52 )
        | ( c3_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl498_030,plain,
    ( ~ ( c1_1 @ a5 )
   <= ~ ( c1_1 @ a5 ) ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(zip_derived_cl1707,plain,
    ( ( ( c3_1 @ a5 )
      | ( c0_1 @ a5 ) )
   <= ( ~ ( c1_1 @ a5 )
      & ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ( c1_1 @ X52 )
          | ( c3_1 @ X52 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl286,zip_derived_cl498]) ).

thf('33',plain,
    ( ( c0_1 @ a5 )
    | ( c3_1 @ a5 )
    | ~ ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ( c1_1 @ X52 )
          | ( c3_1 @ X52 ) )
    | ( c1_1 @ a5 ) ),
    inference(split,[status(esa)],[zip_derived_cl1707]) ).

thf(zip_derived_cl1667_031,plain,
    ( ! [X0: $i] :
        ( ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X26: $i] :
          ( ( c0_1 @ X26 )
          | ~ ( c1_1 @ X26 )
          | ~ ( c2_1 @ X26 ) )
      & ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ( c1_1 @ X45 )
          | ~ ( c2_1 @ X45 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1636]) ).

thf(zip_derived_cl75,plain,
    ( ~ hskp19
    | ~ ( c0_1 @ a33 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl374,plain,
    ( ~ ( c0_1 @ a33 )
   <= ~ ( c0_1 @ a33 ) ),
    inference(split,[status(esa)],[zip_derived_cl75]) ).

thf(zip_derived_cl2680,plain,
    ( ~ ( c2_1 @ a33 )
   <= ( ~ ( c0_1 @ a33 )
      & ! [X26: $i] :
          ( ( c0_1 @ X26 )
          | ~ ( c1_1 @ X26 )
          | ~ ( c2_1 @ X26 ) )
      & ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ( c1_1 @ X45 )
          | ~ ( c2_1 @ X45 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1667,zip_derived_cl374]) ).

thf(zip_derived_cl73,plain,
    ( ~ hskp19
    | ( c2_1 @ a33 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl370,plain,
    ( ( c2_1 @ a33 )
   <= ( c2_1 @ a33 ) ),
    inference(split,[status(esa)],[zip_derived_cl73]) ).

thf('34',plain,
    ( ~ ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ( c1_1 @ X45 )
          | ~ ( c2_1 @ X45 ) )
    | ~ ! [X26: $i] :
          ( ( c0_1 @ X26 )
          | ~ ( c1_1 @ X26 )
          | ~ ( c2_1 @ X26 ) )
    | ~ ( c2_1 @ a33 )
    | ( c0_1 @ a33 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2680,zip_derived_cl370]) ).

thf(zip_derived_cl31,plain,
    ! [X43: $i,X44: $i] :
      ( ( c0_1 @ X43 )
      | ( c1_1 @ X43 )
      | ~ ( c3_1 @ X43 )
      | ~ ndr1_0
      | ( c1_1 @ X44 )
      | ( c2_1 @ X44 )
      | ~ ( c0_1 @ X44 )
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl270,plain,
    ( ! [X43: $i] :
        ( ( c0_1 @ X43 )
        | ( c1_1 @ X43 )
        | ~ ( c3_1 @ X43 ) )
   <= ! [X43: $i] :
        ( ( c0_1 @ X43 )
        | ( c1_1 @ X43 )
        | ~ ( c3_1 @ X43 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl31]) ).

thf(zip_derived_cl59,plain,
    ( ~ hskp23
    | ~ ( c1_1 @ a53 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl342,plain,
    ( ~ ( c1_1 @ a53 )
   <= ~ ( c1_1 @ a53 ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl1612,plain,
    ( ( ~ ( c3_1 @ a53 )
      | ( c0_1 @ a53 ) )
   <= ( ~ ( c1_1 @ a53 )
      & ! [X43: $i] :
          ( ( c0_1 @ X43 )
          | ( c1_1 @ X43 )
          | ~ ( c3_1 @ X43 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl270,zip_derived_cl342]) ).

thf('35',plain,
    ( ( c0_1 @ a53 )
    | ( c1_1 @ a53 )
    | ~ ! [X43: $i] :
          ( ( c0_1 @ X43 )
          | ( c1_1 @ X43 )
          | ~ ( c3_1 @ X43 ) )
    | ~ ( c3_1 @ a53 ) ),
    inference(split,[status(esa)],[zip_derived_cl1612]) ).

thf(zip_derived_cl265_032,plain,
    ( ! [X42: $i] :
        ( ( c1_1 @ X42 )
        | ( c2_1 @ X42 )
        | ( c3_1 @ X42 ) )
   <= ! [X42: $i] :
        ( ( c1_1 @ X42 )
        | ( c2_1 @ X42 )
        | ( c3_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl78,plain,
    ( ~ hskp18
    | ~ ( c1_1 @ a32 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl380,plain,
    ( ~ ( c1_1 @ a32 )
   <= ~ ( c1_1 @ a32 ) ),
    inference(split,[status(esa)],[zip_derived_cl78]) ).

thf(zip_derived_cl1555,plain,
    ( ( ( c3_1 @ a32 )
      | ( c2_1 @ a32 ) )
   <= ( ~ ( c1_1 @ a32 )
      & ! [X42: $i] :
          ( ( c1_1 @ X42 )
          | ( c2_1 @ X42 )
          | ( c3_1 @ X42 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl265,zip_derived_cl380]) ).

thf('36',plain,
    ( ~ ! [X42: $i] :
          ( ( c1_1 @ X42 )
          | ( c2_1 @ X42 )
          | ( c3_1 @ X42 ) )
    | ( c1_1 @ a32 )
    | ( c3_1 @ a32 )
    | ( c2_1 @ a32 ) ),
    inference(split,[status(esa)],[zip_derived_cl1555]) ).

thf(zip_derived_cl38,plain,
    ! [X58: $i,X59: $i] :
      ( ( c0_1 @ X58 )
      | ( c1_1 @ X58 )
      | ( c2_1 @ X58 )
      | ~ ndr1_0
      | ( c1_1 @ X59 )
      | ~ ( c0_1 @ X59 )
      | ~ ( c2_1 @ X59 )
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl296,plain,
    ( ! [X59: $i] :
        ( ( c1_1 @ X59 )
        | ~ ( c0_1 @ X59 )
        | ~ ( c2_1 @ X59 ) )
   <= ! [X59: $i] :
        ( ( c1_1 @ X59 )
        | ~ ( c0_1 @ X59 )
        | ~ ( c2_1 @ X59 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl390_033,plain,
    ( ~ ( c1_1 @ a31 )
   <= ~ ( c1_1 @ a31 ) ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl1465,plain,
    ( ( ~ ( c2_1 @ a31 )
      | ~ ( c0_1 @ a31 ) )
   <= ( ~ ( c1_1 @ a31 )
      & ! [X59: $i] :
          ( ( c1_1 @ X59 )
          | ~ ( c0_1 @ X59 )
          | ~ ( c2_1 @ X59 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl296,zip_derived_cl390]) ).

thf('37',plain,
    ( ~ ! [X59: $i] :
          ( ( c1_1 @ X59 )
          | ~ ( c0_1 @ X59 )
          | ~ ( c2_1 @ X59 ) )
    | ~ ( c2_1 @ a31 )
    | ( c1_1 @ a31 )
    | ~ ( c0_1 @ a31 ) ),
    inference(split,[status(esa)],[zip_derived_cl1465]) ).

thf(zip_derived_cl130,plain,
    ( ~ hskp5
    | ( c3_1 @ a7 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl484,plain,
    ( ( c3_1 @ a7 )
   <= ( c3_1 @ a7 ) ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(zip_derived_cl18,plain,
    ! [X19: $i] :
      ( ( c0_1 @ X19 )
      | ~ ( c2_1 @ X19 )
      | ~ ( c3_1 @ X19 )
      | ~ ndr1_0
      | hskp27
      | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl217,plain,
    ( ! [X19: $i] :
        ( ( c0_1 @ X19 )
        | ~ ( c2_1 @ X19 )
        | ~ ( c3_1 @ X19 ) )
   <= ! [X19: $i] :
        ( ( c0_1 @ X19 )
        | ~ ( c2_1 @ X19 )
        | ~ ( c3_1 @ X19 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl1289,plain,
    ( ( ( c0_1 @ a7 )
      | ~ ( c2_1 @ a7 ) )
   <= ( ! [X19: $i] :
          ( ( c0_1 @ X19 )
          | ~ ( c2_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
      & ( c3_1 @ a7 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl484,zip_derived_cl217]) ).

thf('38',plain,
    ( ~ ( c2_1 @ a7 )
    | ~ ! [X19: $i] :
          ( ( c0_1 @ X19 )
          | ~ ( c2_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
    | ( c0_1 @ a7 )
    | ~ ( c3_1 @ a7 ) ),
    inference(split,[status(esa)],[zip_derived_cl1289]) ).

thf(zip_derived_cl90,plain,
    ( ~ hskp15
    | ( c1_1 @ a25 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('39',plain,
    ( ( c1_1 @ a25 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl404,plain,
    ( ( c1_1 @ a25 )
   <= ( c1_1 @ a25 ) ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl257_034,plain,
    ( ! [X36: $i] :
        ( ( c3_1 @ X36 )
        | ~ ( c1_1 @ X36 )
        | ~ ( c2_1 @ X36 ) )
   <= ! [X36: $i] :
        ( ( c3_1 @ X36 )
        | ~ ( c1_1 @ X36 )
        | ~ ( c2_1 @ X36 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl1261,plain,
    ( ( ( c3_1 @ a25 )
      | ~ ( c2_1 @ a25 ) )
   <= ( ! [X36: $i] :
          ( ( c3_1 @ X36 )
          | ~ ( c1_1 @ X36 )
          | ~ ( c2_1 @ X36 ) )
      & ( c1_1 @ a25 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl404,zip_derived_cl257]) ).

thf('40',plain,
    ( ~ ! [X36: $i] :
          ( ( c3_1 @ X36 )
          | ~ ( c1_1 @ X36 )
          | ~ ( c2_1 @ X36 ) )
    | ~ ( c1_1 @ a25 )
    | ( c3_1 @ a25 )
    | ~ ( c2_1 @ a25 ) ),
    inference(split,[status(esa)],[zip_derived_cl1261]) ).

thf(zip_derived_cl297,plain,
    ( ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c1_1 @ X58 )
        | ( c2_1 @ X58 ) )
   <= ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c1_1 @ X58 )
        | ( c2_1 @ X58 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl7,plain,
    ! [X2: $i] :
      ( ( c2_1 @ X2 )
      | ~ ( c1_1 @ X2 )
      | ~ ( c3_1 @ X2 )
      | ~ ndr1_0
      | hskp9
      | hskp24 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl175,plain,
    ( ! [X2: $i] :
        ( ( c2_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ( c2_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl1735,plain,
    ( ! [X0: $i] :
        ( ( c2_1 @ X0 )
        | ( c0_1 @ X0 )
        | ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ( c2_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ! [X58: $i] :
          ( ( c0_1 @ X58 )
          | ( c1_1 @ X58 )
          | ( c2_1 @ X58 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl297,zip_derived_cl175]) ).

thf(zip_derived_cl1764,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ( c0_1 @ X0 )
        | ( c2_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ( c2_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ! [X58: $i] :
          ( ( c0_1 @ X58 )
          | ( c1_1 @ X58 )
          | ( c2_1 @ X58 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1735]) ).

thf(zip_derived_cl484_035,plain,
    ( ( c3_1 @ a7 )
   <= ( c3_1 @ a7 ) ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(zip_derived_cl5410,plain,
    ( ( ( c2_1 @ a7 )
      | ( c0_1 @ a7 ) )
   <= ( ! [X2: $i] :
          ( ( c2_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ! [X58: $i] :
          ( ( c0_1 @ X58 )
          | ( c1_1 @ X58 )
          | ( c2_1 @ X58 ) )
      & ( c3_1 @ a7 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1764,zip_derived_cl484]) ).

thf('41',plain,
    ( ( c2_1 @ a7 )
    | ~ ! [X2: $i] :
          ( ( c2_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ( c0_1 @ a7 )
    | ~ ! [X58: $i] :
          ( ( c0_1 @ X58 )
          | ( c1_1 @ X58 )
          | ( c2_1 @ X58 ) )
    | ~ ( c3_1 @ a7 ) ),
    inference(split,[status(esa)],[zip_derived_cl5410]) ).

thf(zip_derived_cl94,plain,
    ( ~ hskp14
    | ~ ( c0_1 @ a24 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('42',plain,
    ( ~ ( c0_1 @ a24 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf(zip_derived_cl270_036,plain,
    ( ! [X43: $i] :
        ( ( c0_1 @ X43 )
        | ( c1_1 @ X43 )
        | ~ ( c3_1 @ X43 ) )
   <= ! [X43: $i] :
        ( ( c0_1 @ X43 )
        | ( c1_1 @ X43 )
        | ~ ( c3_1 @ X43 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl31]) ).

thf(zip_derived_cl414_037,plain,
    ( ~ ( c1_1 @ a24 )
   <= ~ ( c1_1 @ a24 ) ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl1607,plain,
    ( ( ~ ( c3_1 @ a24 )
      | ( c0_1 @ a24 ) )
   <= ( ~ ( c1_1 @ a24 )
      & ! [X43: $i] :
          ( ( c0_1 @ X43 )
          | ( c1_1 @ X43 )
          | ~ ( c3_1 @ X43 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl270,zip_derived_cl414]) ).

thf('43',plain,
    ( ~ ! [X43: $i] :
          ( ( c0_1 @ X43 )
          | ( c1_1 @ X43 )
          | ~ ( c3_1 @ X43 ) )
    | ~ ( c3_1 @ a24 )
    | ( c1_1 @ a24 )
    | ( c0_1 @ a24 ) ),
    inference(split,[status(esa)],[zip_derived_cl1607]) ).

thf(zip_derived_cl195_038,plain,
    ( ! [X10: $i] :
        ( ( c1_1 @ X10 )
        | ( c3_1 @ X10 )
        | ~ ( c2_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ( c1_1 @ X10 )
        | ( c3_1 @ X10 )
        | ~ ( c2_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl233_039,plain,
    ( ! [X26: $i] :
        ( ( c0_1 @ X26 )
        | ~ ( c1_1 @ X26 )
        | ~ ( c2_1 @ X26 ) )
   <= ! [X26: $i] :
        ( ( c0_1 @ X26 )
        | ~ ( c1_1 @ X26 )
        | ~ ( c2_1 @ X26 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl1020,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ( c3_1 @ X0 )
        | ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X10: $i] :
          ( ( c1_1 @ X10 )
          | ( c3_1 @ X10 )
          | ~ ( c2_1 @ X10 ) )
      & ! [X26: $i] :
          ( ( c0_1 @ X26 )
          | ~ ( c1_1 @ X26 )
          | ~ ( c2_1 @ X26 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl195,zip_derived_cl233]) ).

thf(zip_derived_cl1026,plain,
    ( ! [X0: $i] :
        ( ( c0_1 @ X0 )
        | ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X10: $i] :
          ( ( c1_1 @ X10 )
          | ( c3_1 @ X10 )
          | ~ ( c2_1 @ X10 ) )
      & ! [X26: $i] :
          ( ( c0_1 @ X26 )
          | ~ ( c1_1 @ X26 )
          | ~ ( c2_1 @ X26 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1020]) ).

thf(zip_derived_cl147,plain,
    ( ~ hskp1
    | ~ ( c3_1 @ a2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl518,plain,
    ( ~ ( c3_1 @ a2 )
   <= ~ ( c3_1 @ a2 ) ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl4002,plain,
    ( ( ~ ( c2_1 @ a2 )
      | ( c0_1 @ a2 ) )
   <= ( ~ ( c3_1 @ a2 )
      & ! [X10: $i] :
          ( ( c1_1 @ X10 )
          | ( c3_1 @ X10 )
          | ~ ( c2_1 @ X10 ) )
      & ! [X26: $i] :
          ( ( c0_1 @ X26 )
          | ~ ( c1_1 @ X26 )
          | ~ ( c2_1 @ X26 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1026,zip_derived_cl518]) ).

thf('44',plain,
    ( ~ ( c2_1 @ a2 )
    | ( c0_1 @ a2 )
    | ~ ! [X26: $i] :
          ( ( c0_1 @ X26 )
          | ~ ( c1_1 @ X26 )
          | ~ ( c2_1 @ X26 ) )
    | ~ ! [X10: $i] :
          ( ( c1_1 @ X10 )
          | ( c3_1 @ X10 )
          | ~ ( c2_1 @ X10 ) )
    | ( c3_1 @ a2 ) ),
    inference(split,[status(esa)],[zip_derived_cl4002]) ).

thf(zip_derived_cl36,plain,
    ! [X54: $i,X55: $i] :
      ( ( c0_1 @ X54 )
      | ( c1_1 @ X54 )
      | ( c3_1 @ X54 )
      | ~ ndr1_0
      | ( c1_1 @ X55 )
      | ~ ( c2_1 @ X55 )
      | ~ ( c3_1 @ X55 )
      | ~ ndr1_0
      | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('45',plain,
    ( hskp1
    | ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ( c1_1 @ X52 )
        | ( c3_1 @ X52 ) )
    | ~ ndr1_0
    | ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c2_1 @ X23 )
        | ~ ( c3_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl286_040,plain,
    ( ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ( c1_1 @ X52 )
        | ( c3_1 @ X52 ) )
   <= ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ( c1_1 @ X52 )
        | ( c3_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl258,plain,
    ( ! [X35: $i] :
        ( ( c0_1 @ X35 )
        | ( c2_1 @ X35 )
        | ~ ( c1_1 @ X35 ) )
   <= ! [X35: $i] :
        ( ( c0_1 @ X35 )
        | ( c2_1 @ X35 )
        | ~ ( c1_1 @ X35 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl1703,plain,
    ( ! [X0: $i] :
        ( ( c3_1 @ X0 )
        | ( c0_1 @ X0 )
        | ( c0_1 @ X0 )
        | ( c2_1 @ X0 ) )
   <= ( ! [X35: $i] :
          ( ( c0_1 @ X35 )
          | ( c2_1 @ X35 )
          | ~ ( c1_1 @ X35 ) )
      & ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ( c1_1 @ X52 )
          | ( c3_1 @ X52 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl286,zip_derived_cl258]) ).

thf(zip_derived_cl1730,plain,
    ( ! [X0: $i] :
        ( ( c2_1 @ X0 )
        | ( c0_1 @ X0 )
        | ( c3_1 @ X0 ) )
   <= ( ! [X35: $i] :
          ( ( c0_1 @ X35 )
          | ( c2_1 @ X35 )
          | ~ ( c1_1 @ X35 ) )
      & ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ( c1_1 @ X52 )
          | ( c3_1 @ X52 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1703]) ).

thf(zip_derived_cl99,plain,
    ( ~ hskp13
    | ~ ( c3_1 @ a22 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl422,plain,
    ( ~ ( c3_1 @ a22 )
   <= ~ ( c3_1 @ a22 ) ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl6799,plain,
    ( ( ( c0_1 @ a22 )
      | ( c2_1 @ a22 ) )
   <= ( ~ ( c3_1 @ a22 )
      & ! [X35: $i] :
          ( ( c0_1 @ X35 )
          | ( c2_1 @ X35 )
          | ~ ( c1_1 @ X35 ) )
      & ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ( c1_1 @ X52 )
          | ( c3_1 @ X52 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1730,zip_derived_cl422]) ).

thf('46',plain,
    ( ~ ! [X35: $i] :
          ( ( c0_1 @ X35 )
          | ( c2_1 @ X35 )
          | ~ ( c1_1 @ X35 ) )
    | ( c0_1 @ a22 )
    | ~ ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ( c1_1 @ X52 )
          | ( c3_1 @ X52 ) )
    | ( c2_1 @ a22 )
    | ( c3_1 @ a22 ) ),
    inference(split,[status(esa)],[zip_derived_cl6799]) ).

thf(zip_derived_cl265_041,plain,
    ( ! [X42: $i] :
        ( ( c1_1 @ X42 )
        | ( c2_1 @ X42 )
        | ( c3_1 @ X42 ) )
   <= ! [X42: $i] :
        ( ( c1_1 @ X42 )
        | ( c2_1 @ X42 )
        | ( c3_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl258_042,plain,
    ( ! [X35: $i] :
        ( ( c0_1 @ X35 )
        | ( c2_1 @ X35 )
        | ~ ( c1_1 @ X35 ) )
   <= ! [X35: $i] :
        ( ( c0_1 @ X35 )
        | ( c2_1 @ X35 )
        | ~ ( c1_1 @ X35 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl1545,plain,
    ( ! [X0: $i] :
        ( ( c3_1 @ X0 )
        | ( c2_1 @ X0 )
        | ( c0_1 @ X0 )
        | ( c2_1 @ X0 ) )
   <= ( ! [X35: $i] :
          ( ( c0_1 @ X35 )
          | ( c2_1 @ X35 )
          | ~ ( c1_1 @ X35 ) )
      & ! [X42: $i] :
          ( ( c1_1 @ X42 )
          | ( c2_1 @ X42 )
          | ( c3_1 @ X42 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl265,zip_derived_cl258]) ).

thf(zip_derived_cl1575,plain,
    ( ! [X0: $i] :
        ( ( c0_1 @ X0 )
        | ( c2_1 @ X0 )
        | ( c3_1 @ X0 ) )
   <= ( ! [X35: $i] :
          ( ( c0_1 @ X35 )
          | ( c2_1 @ X35 )
          | ~ ( c1_1 @ X35 ) )
      & ! [X42: $i] :
          ( ( c1_1 @ X42 )
          | ( c2_1 @ X42 )
          | ( c3_1 @ X42 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1545]) ).

thf(zip_derived_cl422_043,plain,
    ( ~ ( c3_1 @ a22 )
   <= ~ ( c3_1 @ a22 ) ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl6255,plain,
    ( ( ( c2_1 @ a22 )
      | ( c0_1 @ a22 ) )
   <= ( ~ ( c3_1 @ a22 )
      & ! [X35: $i] :
          ( ( c0_1 @ X35 )
          | ( c2_1 @ X35 )
          | ~ ( c1_1 @ X35 ) )
      & ! [X42: $i] :
          ( ( c1_1 @ X42 )
          | ( c2_1 @ X42 )
          | ( c3_1 @ X42 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1575,zip_derived_cl422]) ).

thf('47',plain,
    ( ~ ! [X42: $i] :
          ( ( c1_1 @ X42 )
          | ( c2_1 @ X42 )
          | ( c3_1 @ X42 ) )
    | ~ ! [X35: $i] :
          ( ( c0_1 @ X35 )
          | ( c2_1 @ X35 )
          | ~ ( c1_1 @ X35 ) )
    | ( c0_1 @ a22 )
    | ( c2_1 @ a22 )
    | ( c3_1 @ a22 ) ),
    inference(split,[status(esa)],[zip_derived_cl6255]) ).

thf(zip_derived_cl27,plain,
    ! [X33: $i,X34: $i] :
      ( ( c0_1 @ X33 )
      | ( c2_1 @ X33 )
      | ~ ( c3_1 @ X33 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X34 )
      | ~ ( c2_1 @ X34 )
      | ~ ( c3_1 @ X34 )
      | ~ ndr1_0
      | hskp6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('48',plain,
    ( hskp6
    | ! [X33: $i] :
        ( ( c0_1 @ X33 )
        | ( c2_1 @ X33 )
        | ~ ( c3_1 @ X33 ) )
    | ! [X34: $i] :
        ( ~ ( c1_1 @ X34 )
        | ~ ( c2_1 @ X34 )
        | ~ ( c3_1 @ X34 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl330_044,plain,
    ( ( c1_1 @ a3 )
   <= ( c1_1 @ a3 ) ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(zip_derived_cl253,plain,
    ( ! [X34: $i] :
        ( ~ ( c1_1 @ X34 )
        | ~ ( c2_1 @ X34 )
        | ~ ( c3_1 @ X34 ) )
   <= ! [X34: $i] :
        ( ~ ( c1_1 @ X34 )
        | ~ ( c2_1 @ X34 )
        | ~ ( c3_1 @ X34 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl1091,plain,
    ( ( ~ ( c2_1 @ a3 )
      | ~ ( c3_1 @ a3 ) )
   <= ( ! [X34: $i] :
          ( ~ ( c1_1 @ X34 )
          | ~ ( c2_1 @ X34 )
          | ~ ( c3_1 @ X34 ) )
      & ( c1_1 @ a3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl330,zip_derived_cl253]) ).

thf('49',plain,
    ( ~ ! [X34: $i] :
          ( ~ ( c1_1 @ X34 )
          | ~ ( c2_1 @ X34 )
          | ~ ( c3_1 @ X34 ) )
    | ~ ( c1_1 @ a3 )
    | ~ ( c3_1 @ a3 )
    | ~ ( c2_1 @ a3 ) ),
    inference(split,[status(esa)],[zip_derived_cl1091]) ).

thf(zip_derived_cl213_045,plain,
    ( ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ~ ( c0_1 @ X18 )
        | ~ ( c3_1 @ X18 ) )
   <= ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ~ ( c0_1 @ X18 )
        | ~ ( c3_1 @ X18 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl175_046,plain,
    ( ! [X2: $i] :
        ( ( c2_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ( c2_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl802,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ( c2_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ! [X18: $i] :
          ( ( c1_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c3_1 @ X18 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl213,zip_derived_cl175]) ).

thf(zip_derived_cl825,plain,
    ( ! [X0: $i] :
        ( ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ( c2_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ! [X18: $i] :
          ( ( c1_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c3_1 @ X18 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl802]) ).

thf(zip_derived_cl122,plain,
    ( ~ hskp7
    | ( c3_1 @ a14 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl468,plain,
    ( ( c3_1 @ a14 )
   <= ( c3_1 @ a14 ) ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl3003,plain,
    ( ( ~ ( c0_1 @ a14 )
      | ( c2_1 @ a14 ) )
   <= ( ! [X2: $i] :
          ( ( c2_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ! [X18: $i] :
          ( ( c1_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c3_1 @ X18 ) )
      & ( c3_1 @ a14 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl825,zip_derived_cl468]) ).

thf('50',plain,
    ( ~ ! [X2: $i] :
          ( ( c2_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ~ ! [X18: $i] :
          ( ( c1_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c3_1 @ X18 ) )
    | ( c2_1 @ a14 )
    | ~ ( c0_1 @ a14 )
    | ~ ( c3_1 @ a14 ) ),
    inference(split,[status(esa)],[zip_derived_cl3003]) ).

thf(zip_derived_cl286_047,plain,
    ( ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ( c1_1 @ X52 )
        | ( c3_1 @ X52 ) )
   <= ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ( c1_1 @ X52 )
        | ( c3_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl192_048,plain,
    ( ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ( c3_1 @ X8 )
        | ~ ( c1_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ( c3_1 @ X8 )
        | ~ ( c1_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl1699,plain,
    ( ! [X0: $i] :
        ( ( c3_1 @ X0 )
        | ( c0_1 @ X0 )
        | ( c2_1 @ X0 )
        | ( c3_1 @ X0 ) )
   <= ( ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ( c3_1 @ X8 )
          | ~ ( c1_1 @ X8 ) )
      & ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ( c1_1 @ X52 )
          | ( c3_1 @ X52 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl286,zip_derived_cl192]) ).

thf(zip_derived_cl1727,plain,
    ( ! [X0: $i] :
        ( ( c2_1 @ X0 )
        | ( c0_1 @ X0 )
        | ( c3_1 @ X0 ) )
   <= ( ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ( c3_1 @ X8 )
          | ~ ( c1_1 @ X8 ) )
      & ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ( c1_1 @ X52 )
          | ( c3_1 @ X52 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1699]) ).

thf(zip_derived_cl422_049,plain,
    ( ~ ( c3_1 @ a22 )
   <= ~ ( c3_1 @ a22 ) ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl6553,plain,
    ( ( ( c0_1 @ a22 )
      | ( c2_1 @ a22 ) )
   <= ( ~ ( c3_1 @ a22 )
      & ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ( c3_1 @ X8 )
          | ~ ( c1_1 @ X8 ) )
      & ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ( c1_1 @ X52 )
          | ( c3_1 @ X52 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1727,zip_derived_cl422]) ).

thf('51',plain,
    ( ( c0_1 @ a22 )
    | ( c2_1 @ a22 )
    | ~ ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ( c1_1 @ X52 )
          | ( c3_1 @ X52 ) )
    | ~ ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ( c3_1 @ X8 )
          | ~ ( c1_1 @ X8 ) )
    | ( c3_1 @ a22 ) ),
    inference(split,[status(esa)],[zip_derived_cl6553]) ).

thf(zip_derived_cl24,plain,
    ! [X28: $i] :
      ( ( c0_1 @ X28 )
      | ~ ( c1_1 @ X28 )
      | ~ ( c2_1 @ X28 )
      | ~ ndr1_0
      | hskp27
      | hskp26 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('52',plain,
    ( hskp27
    | hskp26
    | ~ ndr1_0
    | ! [X26: $i] :
        ( ( c0_1 @ X26 )
        | ~ ( c1_1 @ X26 )
        | ~ ( c2_1 @ X26 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf('53',plain,
    ( ~ ( c3_1 @ a5 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf(zip_derived_cl502_050,plain,
    ( ~ ( c3_1 @ a5 )
   <= ~ ( c3_1 @ a5 ) ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf(zip_derived_cl187_051,plain,
    ( ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl706,plain,
    ( ( ( c2_1 @ a5 )
      | ~ ( c0_1 @ a5 ) )
   <= ( ~ ( c3_1 @ a5 )
      & ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl502,zip_derived_cl187]) ).

thf('54',plain,
    ( ~ ( c0_1 @ a5 )
    | ( c2_1 @ a5 )
    | ~ ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 ) )
    | ( c3_1 @ a5 ) ),
    inference(split,[status(esa)],[zip_derived_cl706]) ).

thf('55',plain,
    ( ~ ( c1_1 @ a5 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(zip_derived_cl138,plain,
    ( ~ hskp3
    | ~ ( c2_1 @ a5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('56',plain,
    ( ~ ( c2_1 @ a5 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf('57',plain,
    ( hskp3
    | ! [X45: $i] :
        ( ( c0_1 @ X45 )
        | ( c1_1 @ X45 )
        | ~ ( c2_1 @ X45 ) )
    | ~ ndr1_0
    | hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl141,plain,
    ( ~ hskp2
    | ( c1_1 @ a4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl506,plain,
    ( ( c1_1 @ a4 )
   <= ( c1_1 @ a4 ) ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf(zip_derived_cl282_052,plain,
    ( ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ( c3_1 @ X50 )
        | ~ ( c1_1 @ X50 ) )
   <= ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ( c3_1 @ X50 )
        | ~ ( c1_1 @ X50 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl1498,plain,
    ( ( ( c0_1 @ a4 )
      | ( c3_1 @ a4 ) )
   <= ( ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ( c3_1 @ X50 )
          | ~ ( c1_1 @ X50 ) )
      & ( c1_1 @ a4 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl506,zip_derived_cl282]) ).

thf('58',plain,
    ( ( c0_1 @ a4 )
    | ( c3_1 @ a4 )
    | ~ ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ( c3_1 @ X50 )
          | ~ ( c1_1 @ X50 ) )
    | ~ ( c1_1 @ a4 ) ),
    inference(split,[status(esa)],[zip_derived_cl1498]) ).

thf(zip_derived_cl1667_053,plain,
    ( ! [X0: $i] :
        ( ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X26: $i] :
          ( ( c0_1 @ X26 )
          | ~ ( c1_1 @ X26 )
          | ~ ( c2_1 @ X26 ) )
      & ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ( c1_1 @ X45 )
          | ~ ( c2_1 @ X45 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1636]) ).

thf(zip_derived_cl330_054,plain,
    ( ( c1_1 @ a3 )
   <= ( c1_1 @ a3 ) ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(zip_derived_cl167_055,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl1086,plain,
    ( ( ~ ( c0_1 @ a3 )
      | ~ ( c2_1 @ a3 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 ) )
      & ( c1_1 @ a3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl330,zip_derived_cl167]) ).

thf(zip_derived_cl1519,plain,
    ( ~ ( c0_1 @ a3 )
   <= ~ ( c0_1 @ a3 ) ),
    inference(split,[status(esa)],[zip_derived_cl1086]) ).

thf(zip_derived_cl2685,plain,
    ( ~ ( c2_1 @ a3 )
   <= ( ~ ( c0_1 @ a3 )
      & ! [X26: $i] :
          ( ( c0_1 @ X26 )
          | ~ ( c1_1 @ X26 )
          | ~ ( c2_1 @ X26 ) )
      & ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ( c1_1 @ X45 )
          | ~ ( c2_1 @ X45 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1667,zip_derived_cl1519]) ).

thf(zip_derived_cl54,plain,
    ( ~ hskp24
    | ( c2_1 @ a3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl332,plain,
    ( ( c2_1 @ a3 )
   <= ( c2_1 @ a3 ) ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf('59',plain,
    ( ( c0_1 @ a3 )
    | ~ ! [X26: $i] :
          ( ( c0_1 @ X26 )
          | ~ ( c1_1 @ X26 )
          | ~ ( c2_1 @ X26 ) )
    | ~ ( c2_1 @ a3 )
    | ~ ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ( c1_1 @ X45 )
          | ~ ( c2_1 @ X45 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2685,zip_derived_cl332]) ).

thf(zip_derived_cl15,plain,
    ! [X14: $i,X15: $i] :
      ( ( c1_1 @ X14 )
      | ( c2_1 @ X14 )
      | ~ ( c3_1 @ X14 )
      | ~ ndr1_0
      | ( c2_1 @ X15 )
      | ~ ( c0_1 @ X15 )
      | ~ ( c3_1 @ X15 )
      | ~ ndr1_0
      | hskp15 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl206,plain,
    ( ! [X14: $i] :
        ( ( c1_1 @ X14 )
        | ( c2_1 @ X14 )
        | ~ ( c3_1 @ X14 ) )
   <= ! [X14: $i] :
        ( ( c1_1 @ X14 )
        | ( c2_1 @ X14 )
        | ~ ( c3_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl342_056,plain,
    ( ~ ( c1_1 @ a53 )
   <= ~ ( c1_1 @ a53 ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl735,plain,
    ( ( ~ ( c3_1 @ a53 )
      | ( c2_1 @ a53 ) )
   <= ( ~ ( c1_1 @ a53 )
      & ! [X14: $i] :
          ( ( c1_1 @ X14 )
          | ( c2_1 @ X14 )
          | ~ ( c3_1 @ X14 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl206,zip_derived_cl342]) ).

thf(zip_derived_cl2727,plain,
    ( ( c2_1 @ a53 )
   <= ( c2_1 @ a53 ) ),
    inference(split,[status(esa)],[zip_derived_cl735]) ).

thf(zip_derived_cl1667_057,plain,
    ( ! [X0: $i] :
        ( ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X26: $i] :
          ( ( c0_1 @ X26 )
          | ~ ( c1_1 @ X26 )
          | ~ ( c2_1 @ X26 ) )
      & ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ( c1_1 @ X45 )
          | ~ ( c2_1 @ X45 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1636]) ).

thf(zip_derived_cl58,plain,
    ( ~ hskp23
    | ~ ( c0_1 @ a53 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl340,plain,
    ( ~ ( c0_1 @ a53 )
   <= ~ ( c0_1 @ a53 ) ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf(zip_derived_cl2684,plain,
    ( ~ ( c2_1 @ a53 )
   <= ( ~ ( c0_1 @ a53 )
      & ! [X26: $i] :
          ( ( c0_1 @ X26 )
          | ~ ( c1_1 @ X26 )
          | ~ ( c2_1 @ X26 ) )
      & ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ( c1_1 @ X45 )
          | ~ ( c2_1 @ X45 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1667,zip_derived_cl340]) ).

thf('60',plain,
    ( ( c0_1 @ a53 )
    | ~ ( c2_1 @ a53 )
    | ~ ! [X26: $i] :
          ( ( c0_1 @ X26 )
          | ~ ( c1_1 @ X26 )
          | ~ ( c2_1 @ X26 ) )
    | ~ ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ( c1_1 @ X45 )
          | ~ ( c2_1 @ X45 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2727,zip_derived_cl2684]) ).

thf(zip_derived_cl3,plain,
    ( hskp6
    | hskp26
    | hskp22 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('61',plain,
    ( hskp6
    | hskp22
    | hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf('62',plain,
    ( ( c3_1 @ a42 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf('63',plain,
    ( ~ ( c1_1 @ a42 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl67]) ).

thf(zip_derived_cl225,plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c2_1 @ X23 )
        | ~ ( c3_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c2_1 @ X23 )
        | ~ ( c3_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl358_058,plain,
    ( ~ ( c1_1 @ a42 )
   <= ~ ( c1_1 @ a42 ) ),
    inference(split,[status(esa)],[zip_derived_cl67]) ).

thf(zip_derived_cl919,plain,
    ( ( ~ ( c3_1 @ a42 )
      | ~ ( c2_1 @ a42 ) )
   <= ( ~ ( c1_1 @ a42 )
      & ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c2_1 @ X23 )
          | ~ ( c3_1 @ X23 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl225,zip_derived_cl358]) ).

thf('64',plain,
    ( ~ ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c2_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
    | ~ ( c2_1 @ a42 )
    | ( c1_1 @ a42 )
    | ~ ( c3_1 @ a42 ) ),
    inference(split,[status(esa)],[zip_derived_cl919]) ).

thf(zip_derived_cl195_059,plain,
    ( ! [X10: $i] :
        ( ( c1_1 @ X10 )
        | ( c3_1 @ X10 )
        | ~ ( c2_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ( c1_1 @ X10 )
        | ( c3_1 @ X10 )
        | ~ ( c2_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl257_060,plain,
    ( ! [X36: $i] :
        ( ( c3_1 @ X36 )
        | ~ ( c1_1 @ X36 )
        | ~ ( c2_1 @ X36 ) )
   <= ! [X36: $i] :
        ( ( c3_1 @ X36 )
        | ~ ( c1_1 @ X36 )
        | ~ ( c2_1 @ X36 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl1255,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ( c3_1 @ X0 )
        | ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X10: $i] :
          ( ( c1_1 @ X10 )
          | ( c3_1 @ X10 )
          | ~ ( c2_1 @ X10 ) )
      & ! [X36: $i] :
          ( ( c3_1 @ X36 )
          | ~ ( c1_1 @ X36 )
          | ~ ( c2_1 @ X36 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl195,zip_derived_cl257]) ).

thf(zip_derived_cl1267,plain,
    ( ! [X0: $i] :
        ( ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X10: $i] :
          ( ( c1_1 @ X10 )
          | ( c3_1 @ X10 )
          | ~ ( c2_1 @ X10 ) )
      & ! [X36: $i] :
          ( ( c3_1 @ X36 )
          | ~ ( c1_1 @ X36 )
          | ~ ( c2_1 @ X36 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1255]) ).

thf(zip_derived_cl446_061,plain,
    ( ~ ( c3_1 @ a18 )
   <= ~ ( c3_1 @ a18 ) ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl2573,plain,
    ( ~ ( c2_1 @ a18 )
   <= ( ~ ( c3_1 @ a18 )
      & ! [X10: $i] :
          ( ( c1_1 @ X10 )
          | ( c3_1 @ X10 )
          | ~ ( c2_1 @ X10 ) )
      & ! [X36: $i] :
          ( ( c3_1 @ X36 )
          | ~ ( c1_1 @ X36 )
          | ~ ( c2_1 @ X36 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1267,zip_derived_cl446]) ).

thf(zip_derived_cl446_062,plain,
    ( ~ ( c3_1 @ a18 )
   <= ~ ( c3_1 @ a18 ) ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl187_063,plain,
    ( ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl674,plain,
    ( ( ( c2_1 @ a18 )
      | ~ ( c0_1 @ a18 ) )
   <= ( ~ ( c3_1 @ a18 )
      & ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl446,zip_derived_cl187]) ).

thf(zip_derived_cl758,plain,
    ( ( c2_1 @ a18 )
   <= ( c2_1 @ a18 ) ),
    inference(split,[status(esa)],[zip_derived_cl674]) ).

thf('65',plain,
    ( ~ ! [X36: $i] :
          ( ( c3_1 @ X36 )
          | ~ ( c1_1 @ X36 )
          | ~ ( c2_1 @ X36 ) )
    | ( c3_1 @ a18 )
    | ~ ! [X10: $i] :
          ( ( c1_1 @ X10 )
          | ( c3_1 @ X10 )
          | ~ ( c2_1 @ X10 ) )
    | ~ ( c2_1 @ a18 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2573,zip_derived_cl758]) ).

thf(zip_derived_cl506_064,plain,
    ( ( c1_1 @ a4 )
   <= ( c1_1 @ a4 ) ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf(zip_derived_cl258_065,plain,
    ( ! [X35: $i] :
        ( ( c0_1 @ X35 )
        | ( c2_1 @ X35 )
        | ~ ( c1_1 @ X35 ) )
   <= ! [X35: $i] :
        ( ( c0_1 @ X35 )
        | ( c2_1 @ X35 )
        | ~ ( c1_1 @ X35 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl1336,plain,
    ( ( ( c0_1 @ a4 )
      | ( c2_1 @ a4 ) )
   <= ( ! [X35: $i] :
          ( ( c0_1 @ X35 )
          | ( c2_1 @ X35 )
          | ~ ( c1_1 @ X35 ) )
      & ( c1_1 @ a4 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl506,zip_derived_cl258]) ).

thf('66',plain,
    ( ( c0_1 @ a4 )
    | ( c2_1 @ a4 )
    | ~ ! [X35: $i] :
          ( ( c0_1 @ X35 )
          | ( c2_1 @ X35 )
          | ~ ( c1_1 @ X35 ) )
    | ~ ( c1_1 @ a4 ) ),
    inference(split,[status(esa)],[zip_derived_cl1336]) ).

thf(zip_derived_cl143,plain,
    ( ~ hskp2
    | ~ ( c3_1 @ a4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl510,plain,
    ( ~ ( c3_1 @ a4 )
   <= ~ ( c3_1 @ a4 ) ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(zip_derived_cl187_066,plain,
    ( ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl710,plain,
    ( ( ( c2_1 @ a4 )
      | ~ ( c0_1 @ a4 ) )
   <= ( ~ ( c3_1 @ a4 )
      & ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl510,zip_derived_cl187]) ).

thf('67',plain,
    ( ~ ( c0_1 @ a4 )
    | ( c2_1 @ a4 )
    | ~ ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 ) )
    | ( c3_1 @ a4 ) ),
    inference(split,[status(esa)],[zip_derived_cl710]) ).

thf('68',plain,
    ( ~ ( c1_1 @ a24 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl414_067,plain,
    ( ~ ( c1_1 @ a24 )
   <= ~ ( c1_1 @ a24 ) ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl195_068,plain,
    ( ! [X10: $i] :
        ( ( c1_1 @ X10 )
        | ( c3_1 @ X10 )
        | ~ ( c2_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ( c1_1 @ X10 )
        | ( c3_1 @ X10 )
        | ~ ( c2_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl637,plain,
    ( ( ( c3_1 @ a24 )
      | ~ ( c2_1 @ a24 ) )
   <= ( ~ ( c1_1 @ a24 )
      & ! [X10: $i] :
          ( ( c1_1 @ X10 )
          | ( c3_1 @ X10 )
          | ~ ( c2_1 @ X10 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl414,zip_derived_cl195]) ).

thf('69',plain,
    ( ( c3_1 @ a24 )
    | ~ ! [X10: $i] :
          ( ( c1_1 @ X10 )
          | ( c3_1 @ X10 )
          | ~ ( c2_1 @ X10 ) )
    | ( c1_1 @ a24 )
    | ~ ( c2_1 @ a24 ) ),
    inference(split,[status(esa)],[zip_derived_cl637]) ).

thf(zip_derived_cl225_069,plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c2_1 @ X23 )
        | ~ ( c3_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c2_1 @ X23 )
        | ~ ( c3_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl233_070,plain,
    ( ! [X26: $i] :
        ( ( c0_1 @ X26 )
        | ~ ( c1_1 @ X26 )
        | ~ ( c2_1 @ X26 ) )
   <= ! [X26: $i] :
        ( ( c0_1 @ X26 )
        | ~ ( c1_1 @ X26 )
        | ~ ( c2_1 @ X26 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl1024,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c2_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
      & ! [X26: $i] :
          ( ( c0_1 @ X26 )
          | ~ ( c1_1 @ X26 )
          | ~ ( c2_1 @ X26 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl225,zip_derived_cl233]) ).

thf(zip_derived_cl1027,plain,
    ( ! [X0: $i] :
        ( ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c2_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
      & ! [X26: $i] :
          ( ( c0_1 @ X26 )
          | ~ ( c1_1 @ X26 )
          | ~ ( c2_1 @ X26 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1024]) ).

thf(zip_derived_cl74,plain,
    ( ~ hskp19
    | ( c3_1 @ a33 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl372,plain,
    ( ( c3_1 @ a33 )
   <= ( c3_1 @ a33 ) ),
    inference(split,[status(esa)],[zip_derived_cl74]) ).

thf(zip_derived_cl3440,plain,
    ( ( ~ ( c2_1 @ a33 )
      | ( c0_1 @ a33 ) )
   <= ( ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c2_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
      & ! [X26: $i] :
          ( ( c0_1 @ X26 )
          | ~ ( c1_1 @ X26 )
          | ~ ( c2_1 @ X26 ) )
      & ( c3_1 @ a33 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1027,zip_derived_cl372]) ).

thf('70',plain,
    ( ~ ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c2_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
    | ~ ! [X26: $i] :
          ( ( c0_1 @ X26 )
          | ~ ( c1_1 @ X26 )
          | ~ ( c2_1 @ X26 ) )
    | ~ ( c2_1 @ a33 )
    | ~ ( c3_1 @ a33 )
    | ( c0_1 @ a33 ) ),
    inference(split,[status(esa)],[zip_derived_cl3440]) ).

thf(zip_derived_cl484_071,plain,
    ( ( c3_1 @ a7 )
   <= ( c3_1 @ a7 ) ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(zip_derived_cl254,plain,
    ( ! [X33: $i] :
        ( ( c0_1 @ X33 )
        | ( c2_1 @ X33 )
        | ~ ( c3_1 @ X33 ) )
   <= ! [X33: $i] :
        ( ( c0_1 @ X33 )
        | ( c2_1 @ X33 )
        | ~ ( c3_1 @ X33 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl1290,plain,
    ( ( ( c0_1 @ a7 )
      | ( c2_1 @ a7 ) )
   <= ( ! [X33: $i] :
          ( ( c0_1 @ X33 )
          | ( c2_1 @ X33 )
          | ~ ( c3_1 @ X33 ) )
      & ( c3_1 @ a7 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl484,zip_derived_cl254]) ).

thf('71',plain,
    ( ( c2_1 @ a7 )
    | ~ ! [X33: $i] :
          ( ( c0_1 @ X33 )
          | ( c2_1 @ X33 )
          | ~ ( c3_1 @ X33 ) )
    | ( c0_1 @ a7 )
    | ~ ( c3_1 @ a7 ) ),
    inference(split,[status(esa)],[zip_derived_cl1290]) ).

thf(zip_derived_cl129,plain,
    ( ~ hskp5
    | ( c1_1 @ a7 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('72',plain,
    ( ( c1_1 @ a7 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf('73',plain,
    ( ( c3_1 @ a7 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf(zip_derived_cl131,plain,
    ( ~ hskp5
    | ~ ( c0_1 @ a7 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('74',plain,
    ( ~ ( c0_1 @ a7 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf(zip_derived_cl482,plain,
    ( ( c1_1 @ a7 )
   <= ( c1_1 @ a7 ) ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf(zip_derived_cl233_072,plain,
    ( ! [X26: $i] :
        ( ( c0_1 @ X26 )
        | ~ ( c1_1 @ X26 )
        | ~ ( c2_1 @ X26 ) )
   <= ! [X26: $i] :
        ( ( c0_1 @ X26 )
        | ~ ( c1_1 @ X26 )
        | ~ ( c2_1 @ X26 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl1284,plain,
    ( ( ( c0_1 @ a7 )
      | ~ ( c2_1 @ a7 ) )
   <= ( ! [X26: $i] :
          ( ( c0_1 @ X26 )
          | ~ ( c1_1 @ X26 )
          | ~ ( c2_1 @ X26 ) )
      & ( c1_1 @ a7 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl233]) ).

thf('75',plain,
    ( ~ ( c2_1 @ a7 )
    | ~ ! [X26: $i] :
          ( ( c0_1 @ X26 )
          | ~ ( c1_1 @ X26 )
          | ~ ( c2_1 @ X26 ) )
    | ( c0_1 @ a7 )
    | ~ ( c1_1 @ a7 ) ),
    inference(split,[status(esa)],[zip_derived_cl1284]) ).

thf(zip_derived_cl297_073,plain,
    ( ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c1_1 @ X58 )
        | ( c2_1 @ X58 ) )
   <= ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c1_1 @ X58 )
        | ( c2_1 @ X58 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl380_074,plain,
    ( ~ ( c1_1 @ a32 )
   <= ~ ( c1_1 @ a32 ) ),
    inference(split,[status(esa)],[zip_derived_cl78]) ).

thf(zip_derived_cl1750,plain,
    ( ( ( c2_1 @ a32 )
      | ( c0_1 @ a32 ) )
   <= ( ~ ( c1_1 @ a32 )
      & ! [X58: $i] :
          ( ( c0_1 @ X58 )
          | ( c1_1 @ X58 )
          | ( c2_1 @ X58 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl297,zip_derived_cl380]) ).

thf('76',plain,
    ( ~ ! [X58: $i] :
          ( ( c0_1 @ X58 )
          | ( c1_1 @ X58 )
          | ( c2_1 @ X58 ) )
    | ( c0_1 @ a32 )
    | ( c1_1 @ a32 )
    | ( c2_1 @ a32 ) ),
    inference(split,[status(esa)],[zip_derived_cl1750]) ).

thf(zip_derived_cl286_075,plain,
    ( ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ( c1_1 @ X52 )
        | ( c3_1 @ X52 ) )
   <= ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ( c1_1 @ X52 )
        | ( c3_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl380_076,plain,
    ( ~ ( c1_1 @ a32 )
   <= ~ ( c1_1 @ a32 ) ),
    inference(split,[status(esa)],[zip_derived_cl78]) ).

thf(zip_derived_cl1713,plain,
    ( ( ( c3_1 @ a32 )
      | ( c0_1 @ a32 ) )
   <= ( ~ ( c1_1 @ a32 )
      & ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ( c1_1 @ X52 )
          | ( c3_1 @ X52 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl286,zip_derived_cl380]) ).

thf('77',plain,
    ( ( c0_1 @ a32 )
    | ( c1_1 @ a32 )
    | ~ ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ( c1_1 @ X52 )
          | ( c3_1 @ X52 ) )
    | ( c3_1 @ a32 ) ),
    inference(split,[status(esa)],[zip_derived_cl1713]) ).

thf(zip_derived_cl263_077,plain,
    ( ! [X37: $i] :
        ( ( c0_1 @ X37 )
        | ( c2_1 @ X37 )
        | ( c3_1 @ X37 ) )
   <= ! [X37: $i] :
        ( ( c0_1 @ X37 )
        | ( c2_1 @ X37 )
        | ( c3_1 @ X37 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl79,plain,
    ( ~ hskp18
    | ~ ( c3_1 @ a32 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl382,plain,
    ( ~ ( c3_1 @ a32 )
   <= ~ ( c3_1 @ a32 ) ),
    inference(split,[status(esa)],[zip_derived_cl79]) ).

thf(zip_derived_cl1420,plain,
    ( ( ( c2_1 @ a32 )
      | ( c0_1 @ a32 ) )
   <= ( ~ ( c3_1 @ a32 )
      & ! [X37: $i] :
          ( ( c0_1 @ X37 )
          | ( c2_1 @ X37 )
          | ( c3_1 @ X37 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl263,zip_derived_cl382]) ).

thf('78',plain,
    ( ( c2_1 @ a32 )
    | ( c0_1 @ a32 )
    | ~ ! [X37: $i] :
          ( ( c0_1 @ X37 )
          | ( c2_1 @ X37 )
          | ( c3_1 @ X37 ) )
    | ( c3_1 @ a32 ) ),
    inference(split,[status(esa)],[zip_derived_cl1420]) ).

thf(zip_derived_cl195_078,plain,
    ( ! [X10: $i] :
        ( ( c1_1 @ X10 )
        | ( c3_1 @ X10 )
        | ~ ( c2_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ( c1_1 @ X10 )
        | ( c3_1 @ X10 )
        | ~ ( c2_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl380_079,plain,
    ( ~ ( c1_1 @ a32 )
   <= ~ ( c1_1 @ a32 ) ),
    inference(split,[status(esa)],[zip_derived_cl78]) ).

thf(zip_derived_cl626,plain,
    ( ( ~ ( c2_1 @ a32 )
      | ( c3_1 @ a32 ) )
   <= ( ~ ( c1_1 @ a32 )
      & ! [X10: $i] :
          ( ( c1_1 @ X10 )
          | ( c3_1 @ X10 )
          | ~ ( c2_1 @ X10 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl195,zip_derived_cl380]) ).

thf('79',plain,
    ( ~ ( c2_1 @ a32 )
    | ( c1_1 @ a32 )
    | ~ ! [X10: $i] :
          ( ( c1_1 @ X10 )
          | ( c3_1 @ X10 )
          | ~ ( c2_1 @ X10 ) )
    | ( c3_1 @ a32 ) ),
    inference(split,[status(esa)],[zip_derived_cl626]) ).

thf(zip_derived_cl77,plain,
    ( ~ hskp18
    | ~ ( c0_1 @ a32 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('80',plain,
    ( ~ ( c0_1 @ a32 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl77]) ).

thf('81',plain,
    ( ~ ( c1_1 @ a32 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl78]) ).

thf('82',plain,
    ( ~ ( c3_1 @ a32 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl79]) ).

thf('83',plain,
    ( ( c2_1 @ a33 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl73]) ).

thf('84',plain,
    ( ( c3_1 @ a33 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl74]) ).

thf('85',plain,
    ( ~ ( c0_1 @ a33 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl75]) ).

thf(zip_derived_cl8,plain,
    ! [X3: $i,X4: $i] :
      ( ( c2_1 @ X3 )
      | ~ ( c1_1 @ X3 )
      | ~ ( c3_1 @ X3 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X4 )
      | ~ ( c1_1 @ X4 )
      | ~ ( c2_1 @ X4 )
      | ~ ndr1_0
      | hskp19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('86',plain,
    ( hskp19
    | ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
    | ~ ndr1_0
    | ! [X2: $i] :
        ( ( c2_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl446_080,plain,
    ( ~ ( c3_1 @ a18 )
   <= ~ ( c3_1 @ a18 ) ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl6,plain,
    ! [X1: $i] :
      ( ( c3_1 @ X1 )
      | ~ ( c0_1 @ X1 )
      | ~ ( c2_1 @ X1 )
      | ~ ndr1_0
      | hskp26
      | hskp20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl171,plain,
    ( ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl673,plain,
    ( ( ~ ( c0_1 @ a18 )
      | ~ ( c2_1 @ a18 ) )
   <= ( ~ ( c3_1 @ a18 )
      & ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl446,zip_derived_cl171]) ).

thf('87',plain,
    ( ~ ( c0_1 @ a18 )
    | ( c3_1 @ a18 )
    | ~ ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 ) )
    | ~ ( c2_1 @ a18 ) ),
    inference(split,[status(esa)],[zip_derived_cl673]) ).

thf(zip_derived_cl109,plain,
    ( ~ hskp10
    | ( c0_1 @ a18 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('88',plain,
    ( ( c0_1 @ a18 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf(zip_derived_cl110,plain,
    ( ~ hskp10
    | ( c2_1 @ a18 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('89',plain,
    ( ( c2_1 @ a18 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl110]) ).

thf('90',plain,
    ( ~ ( c3_1 @ a18 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf('91',plain,
    ( hskp6
    | hskp10
    | ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl2,plain,
    ( hskp17
    | hskp8
    | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('92',plain,
    ( hskp4
    | hskp8
    | hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl125,plain,
    ( ~ hskp6
    | ( c0_1 @ a8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl474,plain,
    ( ( c0_1 @ a8 )
   <= ( c0_1 @ a8 ) ),
    inference(split,[status(esa)],[zip_derived_cl125]) ).

thf(zip_derived_cl187_081,plain,
    ( ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl183_082,plain,
    ( ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c3_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c3_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl568,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ( c2_1 @ X0 )
        | ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 ) )
   <= ( ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
      & ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl187,zip_derived_cl183]) ).

thf(zip_derived_cl569,plain,
    ( ! [X0: $i] :
        ( ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 ) )
   <= ( ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
      & ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl568]) ).

thf(zip_derived_cl1245,plain,
    ( ( c2_1 @ a8 )
   <= ( ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
      & ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 ) )
      & ( c0_1 @ a8 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl474,zip_derived_cl569]) ).

thf(zip_derived_cl127,plain,
    ( ~ hskp6
    | ~ ( c2_1 @ a8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl478,plain,
    ( ~ ( c2_1 @ a8 )
   <= ~ ( c2_1 @ a8 ) ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf('93',plain,
    ( ~ ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 ) )
    | ( c2_1 @ a8 )
    | ~ ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
    | ~ ( c0_1 @ a8 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1245,zip_derived_cl478]) ).

thf(zip_derived_cl117,plain,
    ( ~ hskp8
    | ( c0_1 @ a15 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl458,plain,
    ( ( c0_1 @ a15 )
   <= ( c0_1 @ a15 ) ),
    inference(split,[status(esa)],[zip_derived_cl117]) ).

thf(zip_derived_cl569_083,plain,
    ( ! [X0: $i] :
        ( ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 ) )
   <= ( ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
      & ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl568]) ).

thf(zip_derived_cl1235,plain,
    ( ( c2_1 @ a15 )
   <= ( ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
      & ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 ) )
      & ( c0_1 @ a15 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl458,zip_derived_cl569]) ).

thf(zip_derived_cl119,plain,
    ( ~ hskp8
    | ~ ( c2_1 @ a15 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl462,plain,
    ( ~ ( c2_1 @ a15 )
   <= ~ ( c2_1 @ a15 ) ),
    inference(split,[status(esa)],[zip_derived_cl119]) ).

thf('94',plain,
    ( ~ ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 ) )
    | ~ ( c0_1 @ a15 )
    | ~ ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
    | ( c2_1 @ a15 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1235,zip_derived_cl462]) ).

thf(zip_derived_cl372_084,plain,
    ( ( c3_1 @ a33 )
   <= ( c3_1 @ a33 ) ),
    inference(split,[status(esa)],[zip_derived_cl74]) ).

thf(zip_derived_cl217_085,plain,
    ( ! [X19: $i] :
        ( ( c0_1 @ X19 )
        | ~ ( c2_1 @ X19 )
        | ~ ( c3_1 @ X19 ) )
   <= ! [X19: $i] :
        ( ( c0_1 @ X19 )
        | ~ ( c2_1 @ X19 )
        | ~ ( c3_1 @ X19 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl1163,plain,
    ( ( ( c0_1 @ a33 )
      | ~ ( c2_1 @ a33 ) )
   <= ( ! [X19: $i] :
          ( ( c0_1 @ X19 )
          | ~ ( c2_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
      & ( c3_1 @ a33 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl372,zip_derived_cl217]) ).

thf('95',plain,
    ( ~ ! [X19: $i] :
          ( ( c0_1 @ X19 )
          | ~ ( c2_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
    | ~ ( c3_1 @ a33 )
    | ( c0_1 @ a33 )
    | ~ ( c2_1 @ a33 ) ),
    inference(split,[status(esa)],[zip_derived_cl1163]) ).

thf(zip_derived_cl225_086,plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c2_1 @ X23 )
        | ~ ( c3_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c2_1 @ X23 )
        | ~ ( c3_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl390_087,plain,
    ( ~ ( c1_1 @ a31 )
   <= ~ ( c1_1 @ a31 ) ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl917,plain,
    ( ( ~ ( c3_1 @ a31 )
      | ~ ( c2_1 @ a31 ) )
   <= ( ~ ( c1_1 @ a31 )
      & ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c2_1 @ X23 )
          | ~ ( c3_1 @ X23 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl225,zip_derived_cl390]) ).

thf('96',plain,
    ( ~ ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c2_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
    | ~ ( c3_1 @ a31 )
    | ( c1_1 @ a31 )
    | ~ ( c2_1 @ a31 ) ),
    inference(split,[status(esa)],[zip_derived_cl917]) ).

thf('97',plain,
    ( hskp5
    | ! [X36: $i] :
        ( ( c3_1 @ X36 )
        | ~ ( c1_1 @ X36 )
        | ~ ( c2_1 @ X36 ) )
    | ~ ndr1_0
    | ! [X35: $i] :
        ( ( c0_1 @ X35 )
        | ( c2_1 @ X35 )
        | ~ ( c1_1 @ X35 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl63,plain,
    ( ~ hskp22
    | ~ ( c3_1 @ a45 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl350,plain,
    ( ~ ( c3_1 @ a45 )
   <= ~ ( c3_1 @ a45 ) ),
    inference(split,[status(esa)],[zip_derived_cl63]) ).

thf(zip_derived_cl187_088,plain,
    ( ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl581,plain,
    ( ( ( c2_1 @ a45 )
      | ~ ( c0_1 @ a45 ) )
   <= ( ~ ( c3_1 @ a45 )
      & ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl350,zip_derived_cl187]) ).

thf('98',plain,
    ( ( c3_1 @ a45 )
    | ( c2_1 @ a45 )
    | ~ ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 ) )
    | ~ ( c0_1 @ a45 ) ),
    inference(split,[status(esa)],[zip_derived_cl581]) ).

thf(zip_derived_cl61,plain,
    ( ~ hskp22
    | ( c0_1 @ a45 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('99',plain,
    ( ( c0_1 @ a45 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(zip_derived_cl62,plain,
    ( ~ hskp22
    | ~ ( c1_1 @ a45 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('100',plain,
    ( ~ hskp22
    | ~ ( c1_1 @ a45 ) ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf('101',plain,
    ( ~ hskp22
    | ~ ( c3_1 @ a45 ) ),
    inference(split,[status(esa)],[zip_derived_cl63]) ).

thf(zip_derived_cl195_089,plain,
    ( ! [X10: $i] :
        ( ( c1_1 @ X10 )
        | ( c3_1 @ X10 )
        | ~ ( c2_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ( c1_1 @ X10 )
        | ( c3_1 @ X10 )
        | ~ ( c2_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl348,plain,
    ( ~ ( c1_1 @ a45 )
   <= ~ ( c1_1 @ a45 ) ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf(zip_derived_cl628,plain,
    ( ( ~ ( c2_1 @ a45 )
      | ( c3_1 @ a45 ) )
   <= ( ~ ( c1_1 @ a45 )
      & ! [X10: $i] :
          ( ( c1_1 @ X10 )
          | ( c3_1 @ X10 )
          | ~ ( c2_1 @ X10 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl195,zip_derived_cl348]) ).

thf('102',plain,
    ( ( c1_1 @ a45 )
    | ( c3_1 @ a45 )
    | ~ ! [X10: $i] :
          ( ( c1_1 @ X10 )
          | ( c3_1 @ X10 )
          | ~ ( c2_1 @ X10 ) )
    | ~ ( c2_1 @ a45 ) ),
    inference(split,[status(esa)],[zip_derived_cl628]) ).

thf(zip_derived_cl297_090,plain,
    ( ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c1_1 @ X58 )
        | ( c2_1 @ X58 ) )
   <= ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c1_1 @ X58 )
        | ( c2_1 @ X58 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl498_091,plain,
    ( ~ ( c1_1 @ a5 )
   <= ~ ( c1_1 @ a5 ) ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(zip_derived_cl1744,plain,
    ( ( ( c2_1 @ a5 )
      | ( c0_1 @ a5 ) )
   <= ( ~ ( c1_1 @ a5 )
      & ! [X58: $i] :
          ( ( c0_1 @ X58 )
          | ( c1_1 @ X58 )
          | ( c2_1 @ X58 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl297,zip_derived_cl498]) ).

thf('103',plain,
    ( ~ ! [X58: $i] :
          ( ( c0_1 @ X58 )
          | ( c1_1 @ X58 )
          | ( c2_1 @ X58 ) )
    | ( c0_1 @ a5 )
    | ( c2_1 @ a5 )
    | ( c1_1 @ a5 ) ),
    inference(split,[status(esa)],[zip_derived_cl1744]) ).

thf(zip_derived_cl225_092,plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c2_1 @ X23 )
        | ~ ( c3_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c2_1 @ X23 )
        | ~ ( c3_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl342_093,plain,
    ( ~ ( c1_1 @ a53 )
   <= ~ ( c1_1 @ a53 ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl921,plain,
    ( ( ~ ( c3_1 @ a53 )
      | ~ ( c2_1 @ a53 ) )
   <= ( ~ ( c1_1 @ a53 )
      & ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c2_1 @ X23 )
          | ~ ( c3_1 @ X23 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl225,zip_derived_cl342]) ).

thf('104',plain,
    ( ~ ( c2_1 @ a53 )
    | ( c1_1 @ a53 )
    | ~ ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c2_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
    | ~ ( c3_1 @ a53 ) ),
    inference(split,[status(esa)],[zip_derived_cl921]) ).

thf(zip_derived_cl394_094,plain,
    ( ( c1_1 @ a30 )
   <= ( c1_1 @ a30 ) ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf(zip_derived_cl282_095,plain,
    ( ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ( c3_1 @ X50 )
        | ~ ( c1_1 @ X50 ) )
   <= ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ( c3_1 @ X50 )
        | ~ ( c1_1 @ X50 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl1503,plain,
    ( ( ( c0_1 @ a30 )
      | ( c3_1 @ a30 ) )
   <= ( ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ( c3_1 @ X50 )
          | ~ ( c1_1 @ X50 ) )
      & ( c1_1 @ a30 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl394,zip_derived_cl282]) ).

thf('105',plain,
    ( ( c3_1 @ a30 )
    | ~ ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ( c3_1 @ X50 )
          | ~ ( c1_1 @ X50 ) )
    | ( c0_1 @ a30 )
    | ~ ( c1_1 @ a30 ) ),
    inference(split,[status(esa)],[zip_derived_cl1503]) ).

thf(zip_derived_cl296_096,plain,
    ( ! [X59: $i] :
        ( ( c1_1 @ X59 )
        | ~ ( c0_1 @ X59 )
        | ~ ( c2_1 @ X59 ) )
   <= ! [X59: $i] :
        ( ( c1_1 @ X59 )
        | ~ ( c0_1 @ X59 )
        | ~ ( c2_1 @ X59 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl167_097,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl1451,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 ) )
      & ! [X59: $i] :
          ( ( c1_1 @ X59 )
          | ~ ( c0_1 @ X59 )
          | ~ ( c2_1 @ X59 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl296,zip_derived_cl167]) ).

thf(zip_derived_cl1480,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 ) )
      & ! [X59: $i] :
          ( ( c1_1 @ X59 )
          | ~ ( c0_1 @ X59 )
          | ~ ( c2_1 @ X59 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1451]) ).

thf(zip_derived_cl45,plain,
    ( ~ hskp26
    | ( c0_1 @ a10 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl314,plain,
    ( ( c0_1 @ a10 )
   <= ( c0_1 @ a10 ) ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl1876,plain,
    ( ~ ( c2_1 @ a10 )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 ) )
      & ! [X59: $i] :
          ( ( c1_1 @ X59 )
          | ~ ( c0_1 @ X59 )
          | ~ ( c2_1 @ X59 ) )
      & ( c0_1 @ a10 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1480,zip_derived_cl314]) ).

thf(zip_derived_cl46,plain,
    ( ~ hskp26
    | ( c2_1 @ a10 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl316,plain,
    ( ( c2_1 @ a10 )
   <= ( c2_1 @ a10 ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf('106',plain,
    ( ~ ! [X59: $i] :
          ( ( c1_1 @ X59 )
          | ~ ( c0_1 @ X59 )
          | ~ ( c2_1 @ X59 ) )
    | ~ ( c0_1 @ a10 )
    | ~ ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 ) )
    | ~ ( c2_1 @ a10 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1876,zip_derived_cl316]) ).

thf(zip_derived_cl65,plain,
    ( ~ hskp21
    | ( c2_1 @ a42 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('107',plain,
    ( ( c2_1 @ a42 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl65]) ).

thf(zip_derived_cl1667_098,plain,
    ( ! [X0: $i] :
        ( ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X26: $i] :
          ( ( c0_1 @ X26 )
          | ~ ( c1_1 @ X26 )
          | ~ ( c2_1 @ X26 ) )
      & ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ( c1_1 @ X45 )
          | ~ ( c2_1 @ X45 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1636]) ).

thf(zip_derived_cl1480_099,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 ) )
      & ! [X59: $i] :
          ( ( c1_1 @ X59 )
          | ~ ( c0_1 @ X59 )
          | ~ ( c2_1 @ X59 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1451]) ).

thf(zip_derived_cl2659,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 ) )
      & ! [X26: $i] :
          ( ( c0_1 @ X26 )
          | ~ ( c1_1 @ X26 )
          | ~ ( c2_1 @ X26 ) )
      & ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ( c1_1 @ X45 )
          | ~ ( c2_1 @ X45 ) )
      & ! [X59: $i] :
          ( ( c1_1 @ X59 )
          | ~ ( c0_1 @ X59 )
          | ~ ( c2_1 @ X59 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1667,zip_derived_cl1480]) ).

thf(zip_derived_cl2695,plain,
    ( ! [X0: $i] :
        ~ ( c2_1 @ X0 )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 ) )
      & ! [X26: $i] :
          ( ( c0_1 @ X26 )
          | ~ ( c1_1 @ X26 )
          | ~ ( c2_1 @ X26 ) )
      & ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ( c1_1 @ X45 )
          | ~ ( c2_1 @ X45 ) )
      & ! [X59: $i] :
          ( ( c1_1 @ X59 )
          | ~ ( c0_1 @ X59 )
          | ~ ( c2_1 @ X59 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2659]) ).

thf(zip_derived_cl82,plain,
    ( ~ hskp17
    | ( c2_1 @ a31 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl388,plain,
    ( ( c2_1 @ a31 )
   <= ( c2_1 @ a31 ) ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf('108',plain,
    ( ~ ! [X59: $i] :
          ( ( c1_1 @ X59 )
          | ~ ( c0_1 @ X59 )
          | ~ ( c2_1 @ X59 ) )
    | ~ ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ( c1_1 @ X45 )
          | ~ ( c2_1 @ X45 ) )
    | ~ ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 ) )
    | ~ ! [X26: $i] :
          ( ( c0_1 @ X26 )
          | ~ ( c1_1 @ X26 )
          | ~ ( c2_1 @ X26 ) )
    | ~ ( c2_1 @ a31 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2695,zip_derived_cl388]) ).

thf(zip_derived_cl2695_100,plain,
    ( ! [X0: $i] :
        ~ ( c2_1 @ X0 )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 ) )
      & ! [X26: $i] :
          ( ( c0_1 @ X26 )
          | ~ ( c1_1 @ X26 )
          | ~ ( c2_1 @ X26 ) )
      & ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ( c1_1 @ X45 )
          | ~ ( c2_1 @ X45 ) )
      & ! [X59: $i] :
          ( ( c1_1 @ X59 )
          | ~ ( c0_1 @ X59 )
          | ~ ( c2_1 @ X59 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2659]) ).

thf(zip_derived_cl354,plain,
    ( ( c2_1 @ a42 )
   <= ( c2_1 @ a42 ) ),
    inference(split,[status(esa)],[zip_derived_cl65]) ).

thf('109',plain,
    ( ~ ! [X59: $i] :
          ( ( c1_1 @ X59 )
          | ~ ( c0_1 @ X59 )
          | ~ ( c2_1 @ X59 ) )
    | ~ ! [X45: $i] :
          ( ( c0_1 @ X45 )
          | ( c1_1 @ X45 )
          | ~ ( c2_1 @ X45 ) )
    | ~ ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 ) )
    | ~ ! [X26: $i] :
          ( ( c0_1 @ X26 )
          | ~ ( c1_1 @ X26 )
          | ~ ( c2_1 @ X26 ) )
    | ~ ( c2_1 @ a42 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2695,zip_derived_cl354]) ).

thf(zip_derived_cl4,plain,
    ( hskp25
    | hskp17
    | hskp21 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('110',plain,
    ( hskp21
    | hskp17
    | hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf(zip_derived_cl394_101,plain,
    ( ( c1_1 @ a30 )
   <= ( c1_1 @ a30 ) ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf(zip_derived_cl253_102,plain,
    ( ! [X34: $i] :
        ( ~ ( c1_1 @ X34 )
        | ~ ( c2_1 @ X34 )
        | ~ ( c3_1 @ X34 ) )
   <= ! [X34: $i] :
        ( ~ ( c1_1 @ X34 )
        | ~ ( c2_1 @ X34 )
        | ~ ( c3_1 @ X34 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl1185,plain,
    ( ( ~ ( c2_1 @ a30 )
      | ~ ( c3_1 @ a30 ) )
   <= ( ! [X34: $i] :
          ( ~ ( c1_1 @ X34 )
          | ~ ( c2_1 @ X34 )
          | ~ ( c3_1 @ X34 ) )
      & ( c1_1 @ a30 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl394,zip_derived_cl253]) ).

thf(zip_derived_cl1679,plain,
    ( ~ ( c3_1 @ a30 )
   <= ~ ( c3_1 @ a30 ) ),
    inference(split,[status(esa)],[zip_derived_cl1185]) ).

thf(zip_derived_cl263_103,plain,
    ( ! [X37: $i] :
        ( ( c0_1 @ X37 )
        | ( c2_1 @ X37 )
        | ( c3_1 @ X37 ) )
   <= ! [X37: $i] :
        ( ( c0_1 @ X37 )
        | ( c2_1 @ X37 )
        | ( c3_1 @ X37 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl1684,plain,
    ( ( ( c0_1 @ a30 )
      | ( c2_1 @ a30 ) )
   <= ( ~ ( c3_1 @ a30 )
      & ! [X37: $i] :
          ( ( c0_1 @ X37 )
          | ( c2_1 @ X37 )
          | ( c3_1 @ X37 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1679,zip_derived_cl263]) ).

thf('111',plain,
    ( ( c3_1 @ a30 )
    | ~ ! [X37: $i] :
          ( ( c0_1 @ X37 )
          | ( c2_1 @ X37 )
          | ( c3_1 @ X37 ) )
    | ( c0_1 @ a30 )
    | ( c2_1 @ a30 ) ),
    inference(split,[status(esa)],[zip_derived_cl1684]) ).

thf('112',plain,
    ( ( c1_1 @ a30 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf(zip_derived_cl86,plain,
    ( ~ hskp16
    | ~ ( c0_1 @ a30 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('113',plain,
    ( ~ ( c0_1 @ a30 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf(zip_derived_cl87,plain,
    ( ~ hskp16
    | ~ ( c2_1 @ a30 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('114',plain,
    ( ~ ( c2_1 @ a30 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf('115',plain,
    ( hskp16
    | hskp26
    | ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf('116',plain,
    ( ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ( c3_1 @ X8 )
        | ~ ( c1_1 @ X8 ) )
    | ! [X9: $i] :
        ( ~ ( c0_1 @ X9 )
        | ~ ( c2_1 @ X9 )
        | ~ ( c3_1 @ X9 ) )
    | ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl209_104,plain,
    ( ! [X16: $i] :
        ( ( c1_1 @ X16 )
        | ( c2_1 @ X16 )
        | ~ ( c0_1 @ X16 ) )
   <= ! [X16: $i] :
        ( ( c1_1 @ X16 )
        | ( c2_1 @ X16 )
        | ~ ( c0_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl192_105,plain,
    ( ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ( c3_1 @ X8 )
        | ~ ( c1_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ( c3_1 @ X8 )
        | ~ ( c1_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl765,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ( c2_1 @ X0 )
        | ( c2_1 @ X0 )
        | ( c3_1 @ X0 ) )
   <= ( ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ( c3_1 @ X8 )
          | ~ ( c1_1 @ X8 ) )
      & ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ( c2_1 @ X16 )
          | ~ ( c0_1 @ X16 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl209,zip_derived_cl192]) ).

thf(zip_derived_cl788,plain,
    ( ! [X0: $i] :
        ( ( c3_1 @ X0 )
        | ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 ) )
   <= ( ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ( c3_1 @ X8 )
          | ~ ( c1_1 @ X8 ) )
      & ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ( c2_1 @ X16 )
          | ~ ( c0_1 @ X16 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl765]) ).

thf(zip_derived_cl454_106,plain,
    ( ~ ( c3_1 @ a16 )
   <= ~ ( c3_1 @ a16 ) ),
    inference(split,[status(esa)],[zip_derived_cl115]) ).

thf(zip_derived_cl2937,plain,
    ( ( ~ ( c0_1 @ a16 )
      | ( c2_1 @ a16 ) )
   <= ( ~ ( c3_1 @ a16 )
      & ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ( c3_1 @ X8 )
          | ~ ( c1_1 @ X8 ) )
      & ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ( c2_1 @ X16 )
          | ~ ( c0_1 @ X16 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl788,zip_derived_cl454]) ).

thf('117',plain,
    ( ~ ( c0_1 @ a16 )
    | ( c2_1 @ a16 )
    | ~ ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ( c3_1 @ X8 )
          | ~ ( c1_1 @ X8 ) )
    | ~ ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ( c2_1 @ X16 )
          | ~ ( c0_1 @ X16 ) )
    | ( c3_1 @ a16 ) ),
    inference(split,[status(esa)],[zip_derived_cl2937]) ).

thf('118',plain,
    ( hskp4
    | ! [X16: $i] :
        ( ( c1_1 @ X16 )
        | ( c2_1 @ X16 )
        | ~ ( c0_1 @ X16 ) )
    | ! [X43: $i] :
        ( ( c0_1 @ X43 )
        | ( c1_1 @ X43 )
        | ~ ( c3_1 @ X43 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl31]) ).

thf(zip_derived_cl39,plain,
    ! [X60: $i,X61: $i,X62: $i] :
      ( ( c0_1 @ X60 )
      | ( c1_1 @ X60 )
      | ( c2_1 @ X60 )
      | ~ ndr1_0
      | ( c0_1 @ X61 )
      | ( c2_1 @ X61 )
      | ( c3_1 @ X61 )
      | ~ ndr1_0
      | ( c0_1 @ X62 )
      | ( c2_1 @ X62 )
      | ~ ( c3_1 @ X62 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('119',plain,
    ( ! [X37: $i] :
        ( ( c0_1 @ X37 )
        | ( c2_1 @ X37 )
        | ( c3_1 @ X37 ) )
    | ! [X33: $i] :
        ( ( c0_1 @ X33 )
        | ( c2_1 @ X33 )
        | ~ ( c3_1 @ X33 ) )
    | ~ ndr1_0
    | ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c1_1 @ X58 )
        | ( c2_1 @ X58 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl270_107,plain,
    ( ! [X43: $i] :
        ( ( c0_1 @ X43 )
        | ( c1_1 @ X43 )
        | ~ ( c3_1 @ X43 ) )
   <= ! [X43: $i] :
        ( ( c0_1 @ X43 )
        | ( c1_1 @ X43 )
        | ~ ( c3_1 @ X43 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl31]) ).

thf(zip_derived_cl175_108,plain,
    ( ! [X2: $i] :
        ( ( c2_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ( c2_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl1594,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ( c0_1 @ X0 )
        | ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ( c2_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ! [X43: $i] :
          ( ( c0_1 @ X43 )
          | ( c1_1 @ X43 )
          | ~ ( c3_1 @ X43 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl270,zip_derived_cl175]) ).

thf(zip_derived_cl1626,plain,
    ( ! [X0: $i] :
        ( ( c2_1 @ X0 )
        | ( c0_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ( c2_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ! [X43: $i] :
          ( ( c0_1 @ X43 )
          | ( c1_1 @ X43 )
          | ~ ( c3_1 @ X43 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1594]) ).

thf(zip_derived_cl149,plain,
    ( ~ hskp0
    | ( c3_1 @ a1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl522,plain,
    ( ( c3_1 @ a1 )
   <= ( c3_1 @ a1 ) ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl5239,plain,
    ( ( ( c0_1 @ a1 )
      | ( c2_1 @ a1 ) )
   <= ( ! [X2: $i] :
          ( ( c2_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ! [X43: $i] :
          ( ( c0_1 @ X43 )
          | ( c1_1 @ X43 )
          | ~ ( c3_1 @ X43 ) )
      & ( c3_1 @ a1 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1626,zip_derived_cl522]) ).

thf('120',plain,
    ( ~ ! [X2: $i] :
          ( ( c2_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ~ ( c3_1 @ a1 )
    | ( c0_1 @ a1 )
    | ~ ! [X43: $i] :
          ( ( c0_1 @ X43 )
          | ( c1_1 @ X43 )
          | ~ ( c3_1 @ X43 ) )
    | ( c2_1 @ a1 ) ),
    inference(split,[status(esa)],[zip_derived_cl5239]) ).

thf(zip_derived_cl522_109,plain,
    ( ( c3_1 @ a1 )
   <= ( c3_1 @ a1 ) ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl254_110,plain,
    ( ! [X33: $i] :
        ( ( c0_1 @ X33 )
        | ( c2_1 @ X33 )
        | ~ ( c3_1 @ X33 ) )
   <= ! [X33: $i] :
        ( ( c0_1 @ X33 )
        | ( c2_1 @ X33 )
        | ~ ( c3_1 @ X33 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl1343,plain,
    ( ( ( c0_1 @ a1 )
      | ( c2_1 @ a1 ) )
   <= ( ! [X33: $i] :
          ( ( c0_1 @ X33 )
          | ( c2_1 @ X33 )
          | ~ ( c3_1 @ X33 ) )
      & ( c3_1 @ a1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl522,zip_derived_cl254]) ).

thf('121',plain,
    ( ~ ! [X33: $i] :
          ( ( c0_1 @ X33 )
          | ( c2_1 @ X33 )
          | ~ ( c3_1 @ X33 ) )
    | ( c0_1 @ a1 )
    | ( c2_1 @ a1 )
    | ~ ( c3_1 @ a1 ) ),
    inference(split,[status(esa)],[zip_derived_cl1343]) ).

thf(zip_derived_cl209_111,plain,
    ( ! [X16: $i] :
        ( ( c1_1 @ X16 )
        | ( c2_1 @ X16 )
        | ~ ( c0_1 @ X16 ) )
   <= ! [X16: $i] :
        ( ( c1_1 @ X16 )
        | ( c2_1 @ X16 )
        | ~ ( c0_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl175_112,plain,
    ( ! [X2: $i] :
        ( ( c2_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ( c2_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl764,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ( c2_1 @ X0 )
        | ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ( c2_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ( c2_1 @ X16 )
          | ~ ( c0_1 @ X16 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl209,zip_derived_cl175]) ).

thf(zip_derived_cl787,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ( c2_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ( c2_1 @ X16 )
          | ~ ( c0_1 @ X16 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl764]) ).

thf(zip_derived_cl468_113,plain,
    ( ( c3_1 @ a14 )
   <= ( c3_1 @ a14 ) ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl2869,plain,
    ( ( ~ ( c0_1 @ a14 )
      | ( c2_1 @ a14 ) )
   <= ( ! [X2: $i] :
          ( ( c2_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ( c2_1 @ X16 )
          | ~ ( c0_1 @ X16 ) )
      & ( c3_1 @ a14 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl787,zip_derived_cl468]) ).

thf('122',plain,
    ( ~ ! [X2: $i] :
          ( ( c2_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ~ ( c3_1 @ a14 )
    | ( c2_1 @ a14 )
    | ~ ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ( c2_1 @ X16 )
          | ~ ( c0_1 @ X16 ) )
    | ~ ( c0_1 @ a14 ) ),
    inference(split,[status(esa)],[zip_derived_cl2869]) ).

thf('123',plain,
    ( hskp0
    | ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c1_1 @ X58 )
        | ( c2_1 @ X58 ) )
    | ! [X59: $i] :
        ( ( c1_1 @ X59 )
        | ~ ( c0_1 @ X59 )
        | ~ ( c2_1 @ X59 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl394_114,plain,
    ( ( c1_1 @ a30 )
   <= ( c1_1 @ a30 ) ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf(zip_derived_cl175_115,plain,
    ( ! [X2: $i] :
        ( ( c2_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ( c2_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl1181,plain,
    ( ( ( c2_1 @ a30 )
      | ~ ( c3_1 @ a30 ) )
   <= ( ! [X2: $i] :
          ( ( c2_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ( c1_1 @ a30 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl394,zip_derived_cl175]) ).

thf('124',plain,
    ( ~ ! [X2: $i] :
          ( ( c2_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ~ ( c3_1 @ a30 )
    | ( c2_1 @ a30 )
    | ~ ( c1_1 @ a30 ) ),
    inference(split,[status(esa)],[zip_derived_cl1181]) ).

thf(zip_derived_cl57,plain,
    ( ~ hskp23
    | ( c3_1 @ a53 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl338,plain,
    ( ( c3_1 @ a53 )
   <= ( c3_1 @ a53 ) ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf(zip_derived_cl254_116,plain,
    ( ! [X33: $i] :
        ( ( c0_1 @ X33 )
        | ( c2_1 @ X33 )
        | ~ ( c3_1 @ X33 ) )
   <= ! [X33: $i] :
        ( ( c0_1 @ X33 )
        | ( c2_1 @ X33 )
        | ~ ( c3_1 @ X33 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl1213,plain,
    ( ( ( c0_1 @ a53 )
      | ( c2_1 @ a53 ) )
   <= ( ! [X33: $i] :
          ( ( c0_1 @ X33 )
          | ( c2_1 @ X33 )
          | ~ ( c3_1 @ X33 ) )
      & ( c3_1 @ a53 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl338,zip_derived_cl254]) ).

thf('125',plain,
    ( ( c2_1 @ a53 )
    | ( c0_1 @ a53 )
    | ~ ! [X33: $i] :
          ( ( c0_1 @ X33 )
          | ( c2_1 @ X33 )
          | ~ ( c3_1 @ X33 ) )
    | ~ ( c3_1 @ a53 ) ),
    inference(split,[status(esa)],[zip_derived_cl1213]) ).

thf('126',plain,
    ( ( c3_1 @ a53 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf(zip_derived_cl338_117,plain,
    ( ( c3_1 @ a53 )
   <= ( c3_1 @ a53 ) ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf(zip_derived_cl217_118,plain,
    ( ! [X19: $i] :
        ( ( c0_1 @ X19 )
        | ~ ( c2_1 @ X19 )
        | ~ ( c3_1 @ X19 ) )
   <= ! [X19: $i] :
        ( ( c0_1 @ X19 )
        | ~ ( c2_1 @ X19 )
        | ~ ( c3_1 @ X19 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl1097,plain,
    ( ( ( c0_1 @ a53 )
      | ~ ( c2_1 @ a53 ) )
   <= ( ! [X19: $i] :
          ( ( c0_1 @ X19 )
          | ~ ( c2_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
      & ( c3_1 @ a53 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl338,zip_derived_cl217]) ).

thf('127',plain,
    ( ( c0_1 @ a53 )
    | ~ ( c3_1 @ a53 )
    | ~ ! [X19: $i] :
          ( ( c0_1 @ X19 )
          | ~ ( c2_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
    | ~ ( c2_1 @ a53 ) ),
    inference(split,[status(esa)],[zip_derived_cl1097]) ).

thf('128',plain,
    ( ~ ( c0_1 @ a53 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf('129',plain,
    ( ~ ( c1_1 @ a53 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl297_119,plain,
    ( ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c1_1 @ X58 )
        | ( c2_1 @ X58 ) )
   <= ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c1_1 @ X58 )
        | ( c2_1 @ X58 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl342_120,plain,
    ( ~ ( c1_1 @ a53 )
   <= ~ ( c1_1 @ a53 ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl1753,plain,
    ( ( ( c2_1 @ a53 )
      | ( c0_1 @ a53 ) )
   <= ( ~ ( c1_1 @ a53 )
      & ! [X58: $i] :
          ( ( c0_1 @ X58 )
          | ( c1_1 @ X58 )
          | ( c2_1 @ X58 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl297,zip_derived_cl342]) ).

thf('130',plain,
    ( ( c2_1 @ a53 )
    | ( c0_1 @ a53 )
    | ~ ! [X58: $i] :
          ( ( c0_1 @ X58 )
          | ( c1_1 @ X58 )
          | ( c2_1 @ X58 ) )
    | ( c1_1 @ a53 ) ),
    inference(split,[status(esa)],[zip_derived_cl1753]) ).

thf(zip_derived_cl56,plain,
    ( ~ hskp23
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('131',plain,
    ( ndr1_0
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl56]) ).

thf(zip_derived_cl0,plain,
    ( hskp24
    | hskp23
    | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('132',plain,
    ( hskp0
    | hskp23
    | hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf('133',plain,
    ( ( c3_1 @ a1 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl150,plain,
    ( ~ hskp0
    | ~ ( c0_1 @ a1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('134',plain,
    ( ~ ( c0_1 @ a1 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf(zip_derived_cl151,plain,
    ( ~ hskp0
    | ~ ( c2_1 @ a1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('135',plain,
    ( ~ ( c2_1 @ a1 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl1764_121,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ( c0_1 @ X0 )
        | ( c2_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ( c2_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ! [X58: $i] :
          ( ( c0_1 @ X58 )
          | ( c1_1 @ X58 )
          | ( c2_1 @ X58 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1735]) ).

thf(zip_derived_cl522_122,plain,
    ( ( c3_1 @ a1 )
   <= ( c3_1 @ a1 ) ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl5408,plain,
    ( ( ( c2_1 @ a1 )
      | ( c0_1 @ a1 ) )
   <= ( ! [X2: $i] :
          ( ( c2_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ! [X58: $i] :
          ( ( c0_1 @ X58 )
          | ( c1_1 @ X58 )
          | ( c2_1 @ X58 ) )
      & ( c3_1 @ a1 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1764,zip_derived_cl522]) ).

thf('136',plain,
    ( ~ ! [X2: $i] :
          ( ( c2_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ( c0_1 @ a1 )
    | ( c2_1 @ a1 )
    | ~ ! [X58: $i] :
          ( ( c0_1 @ X58 )
          | ( c1_1 @ X58 )
          | ( c2_1 @ X58 ) )
    | ~ ( c3_1 @ a1 ) ),
    inference(split,[status(esa)],[zip_derived_cl5408]) ).

thf('137',plain,
    ( hskp27
    | hskp12
    | ! [X19: $i] :
        ( ( c0_1 @ X19 )
        | ~ ( c2_1 @ X19 )
        | ~ ( c3_1 @ X19 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl101,plain,
    ( ~ hskp12
    | ~ ( c0_1 @ a21 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('138',plain,
    ( ~ hskp12
    | ~ ( c0_1 @ a21 ) ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf(zip_derived_cl102,plain,
    ( ~ hskp12
    | ~ ( c1_1 @ a21 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('139',plain,
    ( ~ hskp12
    | ~ ( c1_1 @ a21 ) ),
    inference(split,[status(esa)],[zip_derived_cl102]) ).

thf(zip_derived_cl103,plain,
    ( ~ hskp12
    | ~ ( c2_1 @ a21 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('140',plain,
    ( ~ hskp12
    | ~ ( c2_1 @ a21 ) ),
    inference(split,[status(esa)],[zip_derived_cl103]) ).

thf(zip_derived_cl297_123,plain,
    ( ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c1_1 @ X58 )
        | ( c2_1 @ X58 ) )
   <= ! [X58: $i] :
        ( ( c0_1 @ X58 )
        | ( c1_1 @ X58 )
        | ( c2_1 @ X58 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl428,plain,
    ( ~ ( c1_1 @ a21 )
   <= ~ ( c1_1 @ a21 ) ),
    inference(split,[status(esa)],[zip_derived_cl102]) ).

thf(zip_derived_cl1747,plain,
    ( ( ( c2_1 @ a21 )
      | ( c0_1 @ a21 ) )
   <= ( ~ ( c1_1 @ a21 )
      & ! [X58: $i] :
          ( ( c0_1 @ X58 )
          | ( c1_1 @ X58 )
          | ( c2_1 @ X58 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl297,zip_derived_cl428]) ).

thf('141',plain,
    ( ( c0_1 @ a21 )
    | ( c1_1 @ a21 )
    | ~ ! [X58: $i] :
          ( ( c0_1 @ X58 )
          | ( c1_1 @ X58 )
          | ( c2_1 @ X58 ) )
    | ( c2_1 @ a21 ) ),
    inference(split,[status(esa)],[zip_derived_cl1747]) ).

thf('142',plain,
    ( ~ ( c0_1 @ a3 )
    | ~ ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 ) )
    | ~ ( c1_1 @ a3 )
    | ~ ( c2_1 @ a3 ) ),
    inference(split,[status(esa)],[zip_derived_cl1086]) ).

thf(zip_derived_cl42,plain,
    ( ~ hskp27
    | ( c1_1 @ a11 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl308,plain,
    ( ( c1_1 @ a11 )
   <= ( c1_1 @ a11 ) ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl175_124,plain,
    ( ! [X2: $i] :
        ( ( c2_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ( c2_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl1053,plain,
    ( ( ( c2_1 @ a11 )
      | ~ ( c3_1 @ a11 ) )
   <= ( ! [X2: $i] :
          ( ( c2_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ( c1_1 @ a11 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl308,zip_derived_cl175]) ).

thf('143',plain,
    ( ~ ! [X2: $i] :
          ( ( c2_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ( c2_1 @ a11 )
    | ~ ( c1_1 @ a11 )
    | ~ ( c3_1 @ a11 ) ),
    inference(split,[status(esa)],[zip_derived_cl1053]) ).

thf(zip_derived_cl41,plain,
    ( ~ hskp27
    | ( c0_1 @ a11 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('144',plain,
    ( ( c0_1 @ a11 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf('145',plain,
    ( ( c1_1 @ a11 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf('146',plain,
    ( ( c3_1 @ a11 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl308_125,plain,
    ( ( c1_1 @ a11 )
   <= ( c1_1 @ a11 ) ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl167_126,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl1052,plain,
    ( ( ~ ( c0_1 @ a11 )
      | ~ ( c2_1 @ a11 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 ) )
      & ( c1_1 @ a11 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl308,zip_derived_cl167]) ).

thf('147',plain,
    ( ~ ( c2_1 @ a11 )
    | ~ ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 ) )
    | ~ ( c1_1 @ a11 )
    | ~ ( c0_1 @ a11 ) ),
    inference(split,[status(esa)],[zip_derived_cl1052]) ).

thf('148',plain,
    ( ( c1_1 @ a6 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf('149',plain,
    ( ( c3_1 @ a6 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl135,plain,
    ( ~ hskp4
    | ~ ( c2_1 @ a6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('150',plain,
    ( ~ ( c2_1 @ a6 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl135]) ).

thf(zip_derived_cl490_127,plain,
    ( ( c1_1 @ a6 )
   <= ( c1_1 @ a6 ) ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf(zip_derived_cl175_128,plain,
    ( ! [X2: $i] :
        ( ( c2_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ( c2_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl1292,plain,
    ( ( ( c2_1 @ a6 )
      | ~ ( c3_1 @ a6 ) )
   <= ( ! [X2: $i] :
          ( ( c2_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ( c1_1 @ a6 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl490,zip_derived_cl175]) ).

thf('151',plain,
    ( ~ ! [X2: $i] :
          ( ( c2_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ~ ( c3_1 @ a6 )
    | ( c2_1 @ a6 )
    | ~ ( c1_1 @ a6 ) ),
    inference(split,[status(esa)],[zip_derived_cl1292]) ).

thf('152',plain,
    ( ( c1_1 @ a4 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf(zip_derived_cl142,plain,
    ( ~ hskp2
    | ~ ( c2_1 @ a4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('153',plain,
    ( ~ ( c2_1 @ a4 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf('154',plain,
    ( ~ ( c3_1 @ a4 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(zip_derived_cl506_129,plain,
    ( ( c1_1 @ a4 )
   <= ( c1_1 @ a4 ) ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf(zip_derived_cl192_130,plain,
    ( ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ( c3_1 @ X8 )
        | ~ ( c1_1 @ X8 ) )
   <= ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ( c3_1 @ X8 )
        | ~ ( c1_1 @ X8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl1332,plain,
    ( ( ( c2_1 @ a4 )
      | ( c3_1 @ a4 ) )
   <= ( ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ( c3_1 @ X8 )
          | ~ ( c1_1 @ X8 ) )
      & ( c1_1 @ a4 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl506,zip_derived_cl192]) ).

thf('155',plain,
    ( ( c2_1 @ a4 )
    | ( c3_1 @ a4 )
    | ~ ! [X8: $i] :
          ( ( c2_1 @ X8 )
          | ( c3_1 @ X8 )
          | ~ ( c1_1 @ X8 ) )
    | ~ ( c1_1 @ a4 ) ),
    inference(split,[status(esa)],[zip_derived_cl1332]) ).

thf(zip_derived_cl286_131,plain,
    ( ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ( c1_1 @ X52 )
        | ( c3_1 @ X52 ) )
   <= ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ( c1_1 @ X52 )
        | ( c3_1 @ X52 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl106,plain,
    ( ~ hskp11
    | ~ ( c1_1 @ a19 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl436,plain,
    ( ~ ( c1_1 @ a19 )
   <= ~ ( c1_1 @ a19 ) ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(zip_derived_cl1709,plain,
    ( ( ( c3_1 @ a19 )
      | ( c0_1 @ a19 ) )
   <= ( ~ ( c1_1 @ a19 )
      & ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ( c1_1 @ X52 )
          | ( c3_1 @ X52 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl286,zip_derived_cl436]) ).

thf('156',plain,
    ( ( c0_1 @ a19 )
    | ( c1_1 @ a19 )
    | ~ ! [X52: $i] :
          ( ( c0_1 @ X52 )
          | ( c1_1 @ X52 )
          | ( c3_1 @ X52 ) )
    | ( c3_1 @ a19 ) ),
    inference(split,[status(esa)],[zip_derived_cl1709]) ).

thf('157',plain,
    ( ! [X37: $i] :
        ( ( c0_1 @ X37 )
        | ( c2_1 @ X37 )
        | ( c3_1 @ X37 ) )
    | ! [X25: $i] :
        ( ( c1_1 @ X25 )
        | ( c3_1 @ X25 )
        | ~ ( c0_1 @ X25 ) )
    | ~ ndr1_0
    | ! [X2: $i] :
        ( ( c2_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl263_132,plain,
    ( ! [X37: $i] :
        ( ( c0_1 @ X37 )
        | ( c2_1 @ X37 )
        | ( c3_1 @ X37 ) )
   <= ! [X37: $i] :
        ( ( c0_1 @ X37 )
        | ( c2_1 @ X37 )
        | ( c3_1 @ X37 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl422_133,plain,
    ( ~ ( c3_1 @ a22 )
   <= ~ ( c3_1 @ a22 ) ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl1416,plain,
    ( ( ( c2_1 @ a22 )
      | ( c0_1 @ a22 ) )
   <= ( ~ ( c3_1 @ a22 )
      & ! [X37: $i] :
          ( ( c0_1 @ X37 )
          | ( c2_1 @ X37 )
          | ( c3_1 @ X37 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl263,zip_derived_cl422]) ).

thf('158',plain,
    ( ( c0_1 @ a22 )
    | ( c3_1 @ a22 )
    | ~ ! [X37: $i] :
          ( ( c0_1 @ X37 )
          | ( c2_1 @ X37 )
          | ( c3_1 @ X37 ) )
    | ( c2_1 @ a22 ) ),
    inference(split,[status(esa)],[zip_derived_cl1416]) ).

thf(zip_derived_cl19,plain,
    ! [X20: $i,X21: $i] :
      ( ( c0_1 @ X20 )
      | ~ ( c2_1 @ X20 )
      | ~ ( c3_1 @ X20 )
      | ~ ndr1_0
      | ( c3_1 @ X21 )
      | ~ ( c0_1 @ X21 )
      | ~ ( c2_1 @ X21 )
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('159',plain,
    ( hskp11
    | ! [X19: $i] :
        ( ( c0_1 @ X19 )
        | ~ ( c2_1 @ X19 )
        | ~ ( c3_1 @ X19 ) )
    | ~ ndr1_0
    | ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl97,plain,
    ( ~ hskp13
    | ~ ( c0_1 @ a22 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('160',plain,
    ( ~ ( c0_1 @ a22 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(zip_derived_cl98,plain,
    ( ~ hskp13
    | ~ ( c2_1 @ a22 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('161',plain,
    ( ~ ( c2_1 @ a22 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf('162',plain,
    ( ~ ( c3_1 @ a22 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf(zip_derived_cl406_134,plain,
    ( ~ ( c3_1 @ a25 )
   <= ~ ( c3_1 @ a25 ) ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl187_135,plain,
    ( ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl611,plain,
    ( ( ( c2_1 @ a25 )
      | ~ ( c0_1 @ a25 ) )
   <= ( ~ ( c3_1 @ a25 )
      & ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl406,zip_derived_cl187]) ).

thf('163',plain,
    ( ( c2_1 @ a25 )
    | ( c3_1 @ a25 )
    | ~ ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 ) )
    | ~ ( c0_1 @ a25 ) ),
    inference(split,[status(esa)],[zip_derived_cl611]) ).

thf(zip_derived_cl89,plain,
    ( ~ hskp15
    | ( c0_1 @ a25 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('164',plain,
    ( ( c0_1 @ a25 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf('165',plain,
    ( ~ ( c3_1 @ a25 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl406_136,plain,
    ( ~ ( c3_1 @ a25 )
   <= ~ ( c3_1 @ a25 ) ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl171_137,plain,
    ( ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl610,plain,
    ( ( ~ ( c0_1 @ a25 )
      | ~ ( c2_1 @ a25 ) )
   <= ( ~ ( c3_1 @ a25 )
      & ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl406,zip_derived_cl171]) ).

thf('166',plain,
    ( ~ ( c0_1 @ a25 )
    | ( c3_1 @ a25 )
    | ~ ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 ) )
    | ~ ( c2_1 @ a25 ) ),
    inference(split,[status(esa)],[zip_derived_cl610]) ).

thf('167',plain,
    ( ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ~ ( c0_1 @ X18 )
        | ~ ( c3_1 @ X18 ) )
    | ! [X16: $i] :
        ( ( c1_1 @ X16 )
        | ( c2_1 @ X16 )
        | ~ ( c0_1 @ X16 ) )
    | ~ ndr1_0
    | hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf('168',plain,
    ( hskp15
    | ! [X14: $i] :
        ( ( c1_1 @ X14 )
        | ( c2_1 @ X14 )
        | ~ ( c3_1 @ X14 ) )
    | ~ ndr1_0
    | ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c3_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl213_138,plain,
    ( ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ~ ( c0_1 @ X18 )
        | ~ ( c3_1 @ X18 ) )
   <= ! [X18: $i] :
        ( ( c1_1 @ X18 )
        | ~ ( c0_1 @ X18 )
        | ~ ( c3_1 @ X18 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl118,plain,
    ( ~ hskp8
    | ~ ( c1_1 @ a15 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl460,plain,
    ( ~ ( c1_1 @ a15 )
   <= ~ ( c1_1 @ a15 ) ),
    inference(split,[status(esa)],[zip_derived_cl118]) ).

thf(zip_derived_cl805,plain,
    ( ( ~ ( c3_1 @ a15 )
      | ~ ( c0_1 @ a15 ) )
   <= ( ~ ( c1_1 @ a15 )
      & ! [X18: $i] :
          ( ( c1_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c3_1 @ X18 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl213,zip_derived_cl460]) ).

thf('169',plain,
    ( ~ ( c3_1 @ a15 )
    | ( c1_1 @ a15 )
    | ~ ! [X18: $i] :
          ( ( c1_1 @ X18 )
          | ~ ( c0_1 @ X18 )
          | ~ ( c3_1 @ X18 ) )
    | ~ ( c0_1 @ a15 ) ),
    inference(split,[status(esa)],[zip_derived_cl805]) ).

thf(zip_derived_cl828,plain,
    ( ~ ( c3_1 @ a15 )
   <= ~ ( c3_1 @ a15 ) ),
    inference(split,[status(esa)],[zip_derived_cl805]) ).

thf(zip_derived_cl187_139,plain,
    ( ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl831,plain,
    ( ( ( c2_1 @ a15 )
      | ~ ( c0_1 @ a15 ) )
   <= ( ~ ( c3_1 @ a15 )
      & ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl828,zip_derived_cl187]) ).

thf('170',plain,
    ( ( c3_1 @ a15 )
    | ~ ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 ) )
    | ( c2_1 @ a15 )
    | ~ ( c0_1 @ a15 ) ),
    inference(split,[status(esa)],[zip_derived_cl831]) ).

thf(zip_derived_cl206_140,plain,
    ( ! [X14: $i] :
        ( ( c1_1 @ X14 )
        | ( c2_1 @ X14 )
        | ~ ( c3_1 @ X14 ) )
   <= ! [X14: $i] :
        ( ( c1_1 @ X14 )
        | ( c2_1 @ X14 )
        | ~ ( c3_1 @ X14 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl460_141,plain,
    ( ~ ( c1_1 @ a15 )
   <= ~ ( c1_1 @ a15 ) ),
    inference(split,[status(esa)],[zip_derived_cl118]) ).

thf(zip_derived_cl727,plain,
    ( ( ~ ( c3_1 @ a15 )
      | ( c2_1 @ a15 ) )
   <= ( ~ ( c1_1 @ a15 )
      & ! [X14: $i] :
          ( ( c1_1 @ X14 )
          | ( c2_1 @ X14 )
          | ~ ( c3_1 @ X14 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl206,zip_derived_cl460]) ).

thf('171',plain,
    ( ~ ! [X14: $i] :
          ( ( c1_1 @ X14 )
          | ( c2_1 @ X14 )
          | ~ ( c3_1 @ X14 ) )
    | ~ ( c3_1 @ a15 )
    | ( c2_1 @ a15 )
    | ( c1_1 @ a15 ) ),
    inference(split,[status(esa)],[zip_derived_cl727]) ).

thf('172',plain,
    ( ( c0_1 @ a15 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl117]) ).

thf('173',plain,
    ( ~ ( c1_1 @ a15 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl118]) ).

thf('174',plain,
    ( ~ ( c2_1 @ a15 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl119]) ).

thf('175',plain,
    ( hskp8
    | hskp9
    | ! [X26: $i] :
        ( ( c0_1 @ X26 )
        | ~ ( c1_1 @ X26 )
        | ~ ( c2_1 @ X26 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl37,plain,
    ! [X56: $i,X57: $i] :
      ( ( c0_1 @ X56 )
      | ( c1_1 @ X56 )
      | ( c3_1 @ X56 )
      | ~ ndr1_0
      | ( c0_1 @ X57 )
      | ~ ( c1_1 @ X57 )
      | ~ ( c2_1 @ X57 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('176',plain,
    ( ! [X52: $i] :
        ( ( c0_1 @ X52 )
        | ( c1_1 @ X52 )
        | ( c3_1 @ X52 ) )
    | ! [X26: $i] :
        ( ( c0_1 @ X26 )
        | ~ ( c1_1 @ X26 )
        | ~ ( c2_1 @ X26 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl55,plain,
    ( ~ hskp24
    | ( c3_1 @ a3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl334,plain,
    ( ( c3_1 @ a3 )
   <= ( c3_1 @ a3 ) ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf(zip_derived_cl217_142,plain,
    ( ! [X19: $i] :
        ( ( c0_1 @ X19 )
        | ~ ( c2_1 @ X19 )
        | ~ ( c3_1 @ X19 ) )
   <= ! [X19: $i] :
        ( ( c0_1 @ X19 )
        | ~ ( c2_1 @ X19 )
        | ~ ( c3_1 @ X19 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl1094,plain,
    ( ( ( c0_1 @ a3 )
      | ~ ( c2_1 @ a3 ) )
   <= ( ! [X19: $i] :
          ( ( c0_1 @ X19 )
          | ~ ( c2_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
      & ( c3_1 @ a3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl334,zip_derived_cl217]) ).

thf('177',plain,
    ( ( c0_1 @ a3 )
    | ~ ! [X19: $i] :
          ( ( c0_1 @ X19 )
          | ~ ( c2_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
    | ~ ( c2_1 @ a3 )
    | ~ ( c3_1 @ a3 ) ),
    inference(split,[status(esa)],[zip_derived_cl1094]) ).

thf(zip_derived_cl330_143,plain,
    ( ( c1_1 @ a3 )
   <= ( c1_1 @ a3 ) ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(zip_derived_cl233_144,plain,
    ( ! [X26: $i] :
        ( ( c0_1 @ X26 )
        | ~ ( c1_1 @ X26 )
        | ~ ( c2_1 @ X26 ) )
   <= ! [X26: $i] :
        ( ( c0_1 @ X26 )
        | ~ ( c1_1 @ X26 )
        | ~ ( c2_1 @ X26 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl1090,plain,
    ( ( ( c0_1 @ a3 )
      | ~ ( c2_1 @ a3 ) )
   <= ( ! [X26: $i] :
          ( ( c0_1 @ X26 )
          | ~ ( c1_1 @ X26 )
          | ~ ( c2_1 @ X26 ) )
      & ( c1_1 @ a3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl330,zip_derived_cl233]) ).

thf('178',plain,
    ( ( c0_1 @ a3 )
    | ~ ! [X26: $i] :
          ( ( c0_1 @ X26 )
          | ~ ( c1_1 @ X26 )
          | ~ ( c2_1 @ X26 ) )
    | ~ ( c2_1 @ a3 )
    | ~ ( c1_1 @ a3 ) ),
    inference(split,[status(esa)],[zip_derived_cl1090]) ).

thf(zip_derived_cl334_145,plain,
    ( ( c3_1 @ a3 )
   <= ( c3_1 @ a3 ) ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf(zip_derived_cl191_146,plain,
    ( ! [X9: $i] :
        ( ~ ( c0_1 @ X9 )
        | ~ ( c2_1 @ X9 )
        | ~ ( c3_1 @ X9 ) )
   <= ! [X9: $i] :
        ( ~ ( c0_1 @ X9 )
        | ~ ( c2_1 @ X9 )
        | ~ ( c3_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl1093,plain,
    ( ( ~ ( c0_1 @ a3 )
      | ~ ( c2_1 @ a3 ) )
   <= ( ! [X9: $i] :
          ( ~ ( c0_1 @ X9 )
          | ~ ( c2_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
      & ( c3_1 @ a3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl334,zip_derived_cl191]) ).

thf('179',plain,
    ( ~ ( c0_1 @ a3 )
    | ~ ( c2_1 @ a3 )
    | ~ ! [X9: $i] :
          ( ~ ( c0_1 @ X9 )
          | ~ ( c2_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
    | ~ ( c3_1 @ a3 ) ),
    inference(split,[status(esa)],[zip_derived_cl1093]) ).

thf('180',plain,
    ( ( c1_1 @ a3 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf('181',plain,
    ( ( c2_1 @ a3 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf('182',plain,
    ( ( c3_1 @ a3 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf('183',plain,
    ( hskp24
    | hskp9
    | ! [X2: $i] :
        ( ( c2_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl476_147,plain,
    ( ( c1_1 @ a8 )
   <= ( c1_1 @ a8 ) ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl175_148,plain,
    ( ! [X2: $i] :
        ( ( c2_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ( c2_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c3_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl1274,plain,
    ( ( ( c2_1 @ a8 )
      | ~ ( c3_1 @ a8 ) )
   <= ( ! [X2: $i] :
          ( ( c2_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
      & ( c1_1 @ a8 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl476,zip_derived_cl175]) ).

thf('184',plain,
    ( ~ ! [X2: $i] :
          ( ( c2_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c3_1 @ X2 ) )
    | ~ ( c1_1 @ a8 )
    | ( c2_1 @ a8 )
    | ~ ( c3_1 @ a8 ) ),
    inference(split,[status(esa)],[zip_derived_cl1274]) ).

thf('185',plain,
    ( ( c0_1 @ a8 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl125]) ).

thf('186',plain,
    ( ( c1_1 @ a8 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf('187',plain,
    ( ~ ( c2_1 @ a8 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl476_149,plain,
    ( ( c1_1 @ a8 )
   <= ( c1_1 @ a8 ) ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl253_150,plain,
    ( ! [X34: $i] :
        ( ~ ( c1_1 @ X34 )
        | ~ ( c2_1 @ X34 )
        | ~ ( c3_1 @ X34 ) )
   <= ! [X34: $i] :
        ( ~ ( c1_1 @ X34 )
        | ~ ( c2_1 @ X34 )
        | ~ ( c3_1 @ X34 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl1278,plain,
    ( ( ~ ( c2_1 @ a8 )
      | ~ ( c3_1 @ a8 ) )
   <= ( ! [X34: $i] :
          ( ~ ( c1_1 @ X34 )
          | ~ ( c2_1 @ X34 )
          | ~ ( c3_1 @ X34 ) )
      & ( c1_1 @ a8 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl476,zip_derived_cl253]) ).

thf(zip_derived_cl1780,plain,
    ( ~ ( c3_1 @ a8 )
   <= ~ ( c3_1 @ a8 ) ),
    inference(split,[status(esa)],[zip_derived_cl1278]) ).

thf(zip_derived_cl187_151,plain,
    ( ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl1783,plain,
    ( ( ( c2_1 @ a8 )
      | ~ ( c0_1 @ a8 ) )
   <= ( ~ ( c3_1 @ a8 )
      & ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1780,zip_derived_cl187]) ).

thf('188',plain,
    ( ( c3_1 @ a8 )
    | ~ ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 ) )
    | ( c2_1 @ a8 )
    | ~ ( c0_1 @ a8 ) ),
    inference(split,[status(esa)],[zip_derived_cl1783]) ).

thf(zip_derived_cl13,plain,
    ! [X11: $i] :
      ( ( c1_1 @ X11 )
      | ( c3_1 @ X11 )
      | ~ ( c2_1 @ X11 )
      | ~ ndr1_0
      | hskp6
      | hskp26 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('189',plain,
    ( hskp6
    | hskp26
    | ! [X10: $i] :
        ( ( c1_1 @ X10 )
        | ( c3_1 @ X10 )
        | ~ ( c2_1 @ X10 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl121,plain,
    ( ~ hskp7
    | ( c0_1 @ a14 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('190',plain,
    ( ( c0_1 @ a14 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl123,plain,
    ( ~ hskp7
    | ~ ( c2_1 @ a14 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('191',plain,
    ( ~ ( c2_1 @ a14 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl466,plain,
    ( ( c0_1 @ a14 )
   <= ( c0_1 @ a14 ) ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl569_152,plain,
    ( ! [X0: $i] :
        ( ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 ) )
   <= ( ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
      & ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl568]) ).

thf(zip_derived_cl1239,plain,
    ( ( c2_1 @ a14 )
   <= ( ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
      & ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 ) )
      & ( c0_1 @ a14 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl466,zip_derived_cl569]) ).

thf(zip_derived_cl470,plain,
    ( ~ ( c2_1 @ a14 )
   <= ~ ( c2_1 @ a14 ) ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf('192',plain,
    ( ~ ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
    | ~ ( c0_1 @ a14 )
    | ( c2_1 @ a14 )
    | ~ ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1239,zip_derived_cl470]) ).

thf(zip_derived_cl14,plain,
    ! [X12: $i,X13: $i] :
      ( ( c1_1 @ X12 )
      | ( c3_1 @ X12 )
      | ~ ( c2_1 @ X12 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X13 )
      | ~ ( c2_1 @ X13 )
      | ~ ( c3_1 @ X13 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('193',plain,
    ( ! [X9: $i] :
        ( ~ ( c0_1 @ X9 )
        | ~ ( c2_1 @ X9 )
        | ~ ( c3_1 @ X9 ) )
    | ! [X10: $i] :
        ( ( c1_1 @ X10 )
        | ( c3_1 @ X10 )
        | ~ ( c2_1 @ X10 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl229_153,plain,
    ( ! [X25: $i] :
        ( ( c1_1 @ X25 )
        | ( c3_1 @ X25 )
        | ~ ( c0_1 @ X25 ) )
   <= ! [X25: $i] :
        ( ( c1_1 @ X25 )
        | ( c3_1 @ X25 )
        | ~ ( c0_1 @ X25 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl436_154,plain,
    ( ~ ( c1_1 @ a19 )
   <= ~ ( c1_1 @ a19 ) ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(zip_derived_cl976,plain,
    ( ( ~ ( c0_1 @ a19 )
      | ( c3_1 @ a19 ) )
   <= ( ~ ( c1_1 @ a19 )
      & ! [X25: $i] :
          ( ( c1_1 @ X25 )
          | ( c3_1 @ X25 )
          | ~ ( c0_1 @ X25 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl229,zip_derived_cl436]) ).

thf('194',plain,
    ( ~ ! [X25: $i] :
          ( ( c1_1 @ X25 )
          | ( c3_1 @ X25 )
          | ~ ( c0_1 @ X25 ) )
    | ( c1_1 @ a19 )
    | ( c3_1 @ a19 )
    | ~ ( c0_1 @ a19 ) ),
    inference(split,[status(esa)],[zip_derived_cl976]) ).

thf(zip_derived_cl112,plain,
    ( ~ hskp9
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('195',plain,
    ( ndr1_0
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl112]) ).

thf(zip_derived_cl96,plain,
    ( ~ hskp13
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('196',plain,
    ( ndr1_0
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl96]) ).

thf(zip_derived_cl120,plain,
    ( ~ hskp7
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('197',plain,
    ( ndr1_0
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl120]) ).

thf(zip_derived_cl1,plain,
    ( hskp7
    | hskp9
    | hskp13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('198',plain,
    ( hskp7
    | hskp9
    | hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl113,plain,
    ( ~ hskp9
    | ( c0_1 @ a16 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('199',plain,
    ( ( c0_1 @ a16 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl113]) ).

thf(zip_derived_cl114,plain,
    ( ~ hskp9
    | ~ ( c2_1 @ a16 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('200',plain,
    ( ~ ( c2_1 @ a16 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl114]) ).

thf('201',plain,
    ( ~ ( c3_1 @ a16 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl115]) ).

thf(zip_derived_cl454_155,plain,
    ( ~ ( c3_1 @ a16 )
   <= ~ ( c3_1 @ a16 ) ),
    inference(split,[status(esa)],[zip_derived_cl115]) ).

thf(zip_derived_cl187_156,plain,
    ( ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 ) )
   <= ! [X6: $i] :
        ( ( c2_1 @ X6 )
        | ( c3_1 @ X6 )
        | ~ ( c0_1 @ X6 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl678,plain,
    ( ( ( c2_1 @ a16 )
      | ~ ( c0_1 @ a16 ) )
   <= ( ~ ( c3_1 @ a16 )
      & ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl454,zip_derived_cl187]) ).

thf('202',plain,
    ( ~ ! [X6: $i] :
          ( ( c2_1 @ X6 )
          | ( c3_1 @ X6 )
          | ~ ( c0_1 @ X6 ) )
    | ( c2_1 @ a16 )
    | ( c3_1 @ a16 )
    | ~ ( c0_1 @ a16 ) ),
    inference(split,[status(esa)],[zip_derived_cl678]) ).

thf(zip_derived_cl145,plain,
    ( ~ hskp1
    | ( c2_1 @ a2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('203',plain,
    ( ( c2_1 @ a2 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl146,plain,
    ( ~ hskp1
    | ~ ( c0_1 @ a2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('204',plain,
    ( ~ ( c0_1 @ a2 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf('205',plain,
    ( ~ ( c3_1 @ a2 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl245_157,plain,
    ( ! [X29: $i] :
        ( ( c0_1 @ X29 )
        | ( c3_1 @ X29 )
        | ~ ( c2_1 @ X29 ) )
   <= ! [X29: $i] :
        ( ( c0_1 @ X29 )
        | ( c3_1 @ X29 )
        | ~ ( c2_1 @ X29 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl518_158,plain,
    ( ~ ( c3_1 @ a2 )
   <= ~ ( c3_1 @ a2 ) ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl1110,plain,
    ( ( ~ ( c2_1 @ a2 )
      | ( c0_1 @ a2 ) )
   <= ( ~ ( c3_1 @ a2 )
      & ! [X29: $i] :
          ( ( c0_1 @ X29 )
          | ( c3_1 @ X29 )
          | ~ ( c2_1 @ X29 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl245,zip_derived_cl518]) ).

thf('206',plain,
    ( ( c0_1 @ a2 )
    | ( c3_1 @ a2 )
    | ~ ! [X29: $i] :
          ( ( c0_1 @ X29 )
          | ( c3_1 @ X29 )
          | ~ ( c2_1 @ X29 ) )
    | ~ ( c2_1 @ a2 ) ),
    inference(split,[status(esa)],[zip_derived_cl1110]) ).

thf('207',plain,
    ( ! [X37: $i] :
        ( ( c0_1 @ X37 )
        | ( c2_1 @ X37 )
        | ( c3_1 @ X37 ) )
    | ! [X29: $i] :
        ( ( c0_1 @ X29 )
        | ( c3_1 @ X29 )
        | ~ ( c2_1 @ X29 ) )
    | ~ ndr1_0
    | ! [X42: $i] :
        ( ( c1_1 @ X42 )
        | ( c2_1 @ X42 )
        | ( c3_1 @ X42 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl195_159,plain,
    ( ! [X10: $i] :
        ( ( c1_1 @ X10 )
        | ( c3_1 @ X10 )
        | ~ ( c2_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ( c1_1 @ X10 )
        | ( c3_1 @ X10 )
        | ~ ( c2_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl390_160,plain,
    ( ~ ( c1_1 @ a31 )
   <= ~ ( c1_1 @ a31 ) ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl625,plain,
    ( ( ~ ( c2_1 @ a31 )
      | ( c3_1 @ a31 ) )
   <= ( ~ ( c1_1 @ a31 )
      & ! [X10: $i] :
          ( ( c1_1 @ X10 )
          | ( c3_1 @ X10 )
          | ~ ( c2_1 @ X10 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl195,zip_derived_cl390]) ).

thf('208',plain,
    ( ~ ! [X10: $i] :
          ( ( c1_1 @ X10 )
          | ( c3_1 @ X10 )
          | ~ ( c2_1 @ X10 ) )
    | ( c3_1 @ a31 )
    | ( c1_1 @ a31 )
    | ~ ( c2_1 @ a31 ) ),
    inference(split,[status(esa)],[zip_derived_cl625]) ).

thf('209',plain,
    ( ( c2_1 @ a31 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf('210',plain,
    ( ~ ( c1_1 @ a31 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl1383,plain,
    ( ( c3_1 @ a31 )
   <= ( c3_1 @ a31 ) ),
    inference(split,[status(esa)],[zip_derived_cl625]) ).

thf(zip_derived_cl191_161,plain,
    ( ! [X9: $i] :
        ( ~ ( c0_1 @ X9 )
        | ~ ( c2_1 @ X9 )
        | ~ ( c3_1 @ X9 ) )
   <= ! [X9: $i] :
        ( ~ ( c0_1 @ X9 )
        | ~ ( c2_1 @ X9 )
        | ~ ( c3_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl1386,plain,
    ( ( ~ ( c0_1 @ a31 )
      | ~ ( c2_1 @ a31 ) )
   <= ( ! [X9: $i] :
          ( ~ ( c0_1 @ X9 )
          | ~ ( c2_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
      & ( c3_1 @ a31 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1383,zip_derived_cl191]) ).

thf('211',plain,
    ( ~ ( c3_1 @ a31 )
    | ~ ( c0_1 @ a31 )
    | ~ ! [X9: $i] :
          ( ~ ( c0_1 @ X9 )
          | ~ ( c2_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
    | ~ ( c2_1 @ a31 ) ),
    inference(split,[status(esa)],[zip_derived_cl1386]) ).

thf('212',plain,
    ( ( c0_1 @ a10 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf('213',plain,
    ( ( c2_1 @ a10 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl47,plain,
    ( ~ hskp26
    | ( c3_1 @ a10 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('214',plain,
    ( ( c3_1 @ a10 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(zip_derived_cl318,plain,
    ( ( c3_1 @ a10 )
   <= ( c3_1 @ a10 ) ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(zip_derived_cl191_162,plain,
    ( ! [X9: $i] :
        ( ~ ( c0_1 @ X9 )
        | ~ ( c2_1 @ X9 )
        | ~ ( c3_1 @ X9 ) )
   <= ! [X9: $i] :
        ( ~ ( c0_1 @ X9 )
        | ~ ( c2_1 @ X9 )
        | ~ ( c3_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl1070,plain,
    ( ( ~ ( c0_1 @ a10 )
      | ~ ( c2_1 @ a10 ) )
   <= ( ! [X9: $i] :
          ( ~ ( c0_1 @ X9 )
          | ~ ( c2_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
      & ( c3_1 @ a10 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl318,zip_derived_cl191]) ).

thf('215',plain,
    ( ~ ( c0_1 @ a10 )
    | ~ ( c2_1 @ a10 )
    | ~ ! [X9: $i] :
          ( ~ ( c0_1 @ X9 )
          | ~ ( c2_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
    | ~ ( c3_1 @ a10 ) ),
    inference(split,[status(esa)],[zip_derived_cl1070]) ).

thf(zip_derived_cl310_163,plain,
    ( ( c3_1 @ a11 )
   <= ( c3_1 @ a11 ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl191_164,plain,
    ( ! [X9: $i] :
        ( ~ ( c0_1 @ X9 )
        | ~ ( c2_1 @ X9 )
        | ~ ( c3_1 @ X9 ) )
   <= ! [X9: $i] :
        ( ~ ( c0_1 @ X9 )
        | ~ ( c2_1 @ X9 )
        | ~ ( c3_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl1059,plain,
    ( ( ~ ( c0_1 @ a11 )
      | ~ ( c2_1 @ a11 ) )
   <= ( ! [X9: $i] :
          ( ~ ( c0_1 @ X9 )
          | ~ ( c2_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
      & ( c3_1 @ a11 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl310,zip_derived_cl191]) ).

thf('216',plain,
    ( ~ ( c2_1 @ a11 )
    | ~ ( c0_1 @ a11 )
    | ~ ! [X9: $i] :
          ( ~ ( c0_1 @ X9 )
          | ~ ( c2_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
    | ~ ( c3_1 @ a11 ) ),
    inference(split,[status(esa)],[zip_derived_cl1059]) ).

thf(zip_derived_cl105,plain,
    ( ~ hskp11
    | ( c2_1 @ a19 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('217',plain,
    ( ( c2_1 @ a19 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl105]) ).

thf('218',plain,
    ( ~ ( c1_1 @ a19 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(zip_derived_cl107,plain,
    ( ~ hskp11
    | ~ ( c3_1 @ a19 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('219',plain,
    ( ~ ( c3_1 @ a19 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl107]) ).

thf(zip_derived_cl436_165,plain,
    ( ~ ( c1_1 @ a19 )
   <= ~ ( c1_1 @ a19 ) ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(zip_derived_cl195_166,plain,
    ( ! [X10: $i] :
        ( ( c1_1 @ X10 )
        | ( c3_1 @ X10 )
        | ~ ( c2_1 @ X10 ) )
   <= ! [X10: $i] :
        ( ( c1_1 @ X10 )
        | ( c3_1 @ X10 )
        | ~ ( c2_1 @ X10 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl656,plain,
    ( ( ( c3_1 @ a19 )
      | ~ ( c2_1 @ a19 ) )
   <= ( ~ ( c1_1 @ a19 )
      & ! [X10: $i] :
          ( ( c1_1 @ X10 )
          | ( c3_1 @ X10 )
          | ~ ( c2_1 @ X10 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl436,zip_derived_cl195]) ).

thf('220',plain,
    ( ~ ! [X10: $i] :
          ( ( c1_1 @ X10 )
          | ( c3_1 @ X10 )
          | ~ ( c2_1 @ X10 ) )
    | ( c1_1 @ a19 )
    | ( c3_1 @ a19 )
    | ~ ( c2_1 @ a19 ) ),
    inference(split,[status(esa)],[zip_derived_cl656]) ).

thf('221',plain,
    ( hskp7
    | ! [X10: $i] :
        ( ( c1_1 @ X10 )
        | ( c3_1 @ X10 )
        | ~ ( c2_1 @ X10 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf('222',plain,
    ( ( c3_1 @ a14 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl468_167,plain,
    ( ( c3_1 @ a14 )
   <= ( c3_1 @ a14 ) ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl183_168,plain,
    ( ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c3_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c3_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl1241,plain,
    ( ( ( c2_1 @ a14 )
      | ~ ( c0_1 @ a14 ) )
   <= ( ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
      & ( c3_1 @ a14 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl468,zip_derived_cl183]) ).

thf('223',plain,
    ( ~ ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c0_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
    | ~ ( c3_1 @ a14 )
    | ( c2_1 @ a14 )
    | ~ ( c0_1 @ a14 ) ),
    inference(split,[status(esa)],[zip_derived_cl1241]) ).

thf('224',plain,
    ( hskp17
    | ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c0_1 @ X5 )
        | ~ ( c3_1 @ X5 ) )
    | hskp18
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl81,plain,
    ( ~ hskp17
    | ( c0_1 @ a31 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('225',plain,
    ( ( c0_1 @ a31 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf(zip_derived_cl171_169,plain,
    ( ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl191_170,plain,
    ( ! [X9: $i] :
        ( ~ ( c0_1 @ X9 )
        | ~ ( c2_1 @ X9 )
        | ~ ( c3_1 @ X9 ) )
   <= ! [X9: $i] :
        ( ~ ( c0_1 @ X9 )
        | ~ ( c2_1 @ X9 )
        | ~ ( c3_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl574,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 ) )
      & ! [X9: $i] :
          ( ~ ( c0_1 @ X9 )
          | ~ ( c2_1 @ X9 )
          | ~ ( c3_1 @ X9 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl171,zip_derived_cl191]) ).

thf(zip_derived_cl576,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 ) )
      & ! [X9: $i] :
          ( ~ ( c0_1 @ X9 )
          | ~ ( c2_1 @ X9 )
          | ~ ( c3_1 @ X9 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl574]) ).

thf(zip_derived_cl386,plain,
    ( ( c0_1 @ a31 )
   <= ( c0_1 @ a31 ) ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf(zip_derived_cl1810,plain,
    ( ~ ( c2_1 @ a31 )
   <= ( ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 ) )
      & ! [X9: $i] :
          ( ~ ( c0_1 @ X9 )
          | ~ ( c2_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
      & ( c0_1 @ a31 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl576,zip_derived_cl386]) ).

thf(zip_derived_cl388_171,plain,
    ( ( c2_1 @ a31 )
   <= ( c2_1 @ a31 ) ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf('226',plain,
    ( ~ ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 ) )
    | ~ ( c0_1 @ a31 )
    | ~ ! [X9: $i] :
          ( ~ ( c0_1 @ X9 )
          | ~ ( c2_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
    | ~ ( c2_1 @ a31 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1810,zip_derived_cl388]) ).

thf('227',plain,
    ( hskp20
    | ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 ) )
    | hskp26
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf('228',plain,
    ( ~ ( c0_1 @ a37 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl70]) ).

thf(zip_derived_cl263_172,plain,
    ( ! [X37: $i] :
        ( ( c0_1 @ X37 )
        | ( c2_1 @ X37 )
        | ( c3_1 @ X37 ) )
   <= ! [X37: $i] :
        ( ( c0_1 @ X37 )
        | ( c2_1 @ X37 )
        | ( c3_1 @ X37 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl366_173,plain,
    ( ~ ( c3_1 @ a37 )
   <= ~ ( c3_1 @ a37 ) ),
    inference(split,[status(esa)],[zip_derived_cl71]) ).

thf(zip_derived_cl1421,plain,
    ( ( ( c2_1 @ a37 )
      | ( c0_1 @ a37 ) )
   <= ( ~ ( c3_1 @ a37 )
      & ! [X37: $i] :
          ( ( c0_1 @ X37 )
          | ( c2_1 @ X37 )
          | ( c3_1 @ X37 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl263,zip_derived_cl366]) ).

thf('229',plain,
    ( ( c2_1 @ a37 )
    | ( c0_1 @ a37 )
    | ~ ! [X37: $i] :
          ( ( c0_1 @ X37 )
          | ( c2_1 @ X37 )
          | ( c3_1 @ X37 ) )
    | ( c3_1 @ a37 ) ),
    inference(split,[status(esa)],[zip_derived_cl1421]) ).

thf(zip_derived_cl245_174,plain,
    ( ! [X29: $i] :
        ( ( c0_1 @ X29 )
        | ( c3_1 @ X29 )
        | ~ ( c2_1 @ X29 ) )
   <= ! [X29: $i] :
        ( ( c0_1 @ X29 )
        | ( c3_1 @ X29 )
        | ~ ( c2_1 @ X29 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl366_175,plain,
    ( ~ ( c3_1 @ a37 )
   <= ~ ( c3_1 @ a37 ) ),
    inference(split,[status(esa)],[zip_derived_cl71]) ).

thf(zip_derived_cl1123,plain,
    ( ( ~ ( c2_1 @ a37 )
      | ( c0_1 @ a37 ) )
   <= ( ~ ( c3_1 @ a37 )
      & ! [X29: $i] :
          ( ( c0_1 @ X29 )
          | ( c3_1 @ X29 )
          | ~ ( c2_1 @ X29 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl245,zip_derived_cl366]) ).

thf('230',plain,
    ( ~ ! [X29: $i] :
          ( ( c0_1 @ X29 )
          | ( c3_1 @ X29 )
          | ~ ( c2_1 @ X29 ) )
    | ~ ( c2_1 @ a37 )
    | ( c0_1 @ a37 )
    | ( c3_1 @ a37 ) ),
    inference(split,[status(esa)],[zip_derived_cl1123]) ).

thf('231',plain,
    ( hskp25
    | ! [X29: $i] :
        ( ( c0_1 @ X29 )
        | ( c3_1 @ X29 )
        | ~ ( c2_1 @ X29 ) )
    | ~ ndr1_0
    | hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl49,plain,
    ( ~ hskp25
    | ( c0_1 @ a9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('232',plain,
    ( ( c0_1 @ a9 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl50,plain,
    ( ~ hskp25
    | ( c1_1 @ a9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('233',plain,
    ( ( c1_1 @ a9 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl51,plain,
    ( ~ hskp25
    | ( c2_1 @ a9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('234',plain,
    ( ( c2_1 @ a9 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf(zip_derived_cl324,plain,
    ( ( c1_1 @ a9 )
   <= ( c1_1 @ a9 ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl167_176,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl1074,plain,
    ( ( ~ ( c0_1 @ a9 )
      | ~ ( c2_1 @ a9 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 ) )
      & ( c1_1 @ a9 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl324,zip_derived_cl167]) ).

thf('235',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 ) )
    | ~ ( c0_1 @ a9 )
    | ~ ( c2_1 @ a9 )
    | ~ ( c1_1 @ a9 ) ),
    inference(split,[status(esa)],[zip_derived_cl1074]) ).

thf(zip_derived_cl26,plain,
    ! [X30: $i,X31: $i,X32: $i] :
      ( ( c0_1 @ X30 )
      | ( c3_1 @ X30 )
      | ~ ( c2_1 @ X30 )
      | ~ ndr1_0
      | ( c2_1 @ X31 )
      | ( c3_1 @ X31 )
      | ~ ( c1_1 @ X31 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X32 )
      | ~ ( c1_1 @ X32 )
      | ~ ( c2_1 @ X32 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('236',plain,
    ( ! [X8: $i] :
        ( ( c2_1 @ X8 )
        | ( c3_1 @ X8 )
        | ~ ( c1_1 @ X8 ) )
    | ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
    | ~ ndr1_0
    | ! [X29: $i] :
        ( ( c0_1 @ X29 )
        | ( c3_1 @ X29 )
        | ~ ( c2_1 @ X29 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl209_177,plain,
    ( ! [X16: $i] :
        ( ( c1_1 @ X16 )
        | ( c2_1 @ X16 )
        | ~ ( c0_1 @ X16 ) )
   <= ! [X16: $i] :
        ( ( c1_1 @ X16 )
        | ( c2_1 @ X16 )
        | ~ ( c0_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl460_178,plain,
    ( ~ ( c1_1 @ a15 )
   <= ~ ( c1_1 @ a15 ) ),
    inference(split,[status(esa)],[zip_derived_cl118]) ).

thf(zip_derived_cl767,plain,
    ( ( ~ ( c0_1 @ a15 )
      | ( c2_1 @ a15 ) )
   <= ( ~ ( c1_1 @ a15 )
      & ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ( c2_1 @ X16 )
          | ~ ( c0_1 @ X16 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl209,zip_derived_cl460]) ).

thf('237',plain,
    ( ( c1_1 @ a15 )
    | ( c2_1 @ a15 )
    | ~ ! [X16: $i] :
          ( ( c1_1 @ X16 )
          | ( c2_1 @ X16 )
          | ~ ( c0_1 @ X16 ) )
    | ~ ( c0_1 @ a15 ) ),
    inference(split,[status(esa)],[zip_derived_cl767]) ).

thf('238',plain,
    ( hskp14
    | ! [X16: $i] :
        ( ( c1_1 @ X16 )
        | ( c2_1 @ X16 )
        | ~ ( c0_1 @ X16 ) )
    | ~ ndr1_0
    | hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl93,plain,
    ( ~ hskp14
    | ( c2_1 @ a24 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('239',plain,
    ( ( c2_1 @ a24 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf(zip_derived_cl225_179,plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c2_1 @ X23 )
        | ~ ( c3_1 @ X23 ) )
   <= ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c2_1 @ X23 )
        | ~ ( c3_1 @ X23 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl414_180,plain,
    ( ~ ( c1_1 @ a24 )
   <= ~ ( c1_1 @ a24 ) ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl916,plain,
    ( ( ~ ( c3_1 @ a24 )
      | ~ ( c2_1 @ a24 ) )
   <= ( ~ ( c1_1 @ a24 )
      & ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c2_1 @ X23 )
          | ~ ( c3_1 @ X23 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl225,zip_derived_cl414]) ).

thf('240',plain,
    ( ~ ! [X23: $i] :
          ( ( c1_1 @ X23 )
          | ~ ( c2_1 @ X23 )
          | ~ ( c3_1 @ X23 ) )
    | ~ ( c2_1 @ a24 )
    | ( c1_1 @ a24 )
    | ~ ( c3_1 @ a24 ) ),
    inference(split,[status(esa)],[zip_derived_cl916]) ).

thf('241',plain,
    ( ! [X23: $i] :
        ( ( c1_1 @ X23 )
        | ~ ( c2_1 @ X23 )
        | ~ ( c3_1 @ X23 ) )
    | ! [X45: $i] :
        ( ( c0_1 @ X45 )
        | ( c1_1 @ X45 )
        | ~ ( c2_1 @ X45 ) )
    | ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ( c3_1 @ X50 )
        | ~ ( c1_1 @ X50 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl28138,plain,
    $false,
    inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6','7','8','9','10','11','12','13','14','15','16','17','18','19','20','21','22','23','24','25','26','27','28','29','30','31','32','33','34','35','36','37','38','39','40','41','42','43','44','45','46','47','48','49','50','51','52','53','54','55','56','57','58','59','60','61','62','63','64','65','66','67','68','69','70','71','72','73','74','75','76','77','78','79','80','81','82','83','84','85','86','87','88','89','90','91','92','93','94','95','96','97','98','99','100','101','102','103','104','105','106','107','108','109','110','111','112','113','114','115','116','117','118','119','120','121','122','123','124','125','126','127','128','129','130','131','132','133','134','135','136','137','138','139','140','141','142','143','144','145','146','147','148','149','150','151','152','153','154','155','156','157','158','159','160','161','162','163','164','165','166','167','168','169','170','171','172','173','174','175','176','177','178','179','180','181','182','183','184','185','186','187','188','189','190','191','192','193','194','195','196','197','198','199','200','201','202','203','204','205','206','207','208','209','210','211','212','213','214','215','216','217','218','219','220','221','222','223','224','225','226','227','228','229','230','231','232','233','234','235','236','237','238','239','240','241']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SYN436+1 : TPTP v8.1.2. Released v2.1.0.
% 0.08/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.APxKmvnjSb true
% 0.15/0.35  % Computer : n017.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Sat Aug 26 20:50:41 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  % Running portfolio for 300 s
% 0.15/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36  % Number of cores: 8
% 0.15/0.36  % Python version: Python 3.6.8
% 0.15/0.36  % Running in FO mode
% 0.52/0.66  % Total configuration time : 435
% 0.52/0.66  % Estimated wc time : 1092
% 0.52/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 25.27/4.20  % Solved by fo/fo1_av.sh.
% 25.27/4.20  % done 5907 iterations in 3.395s
% 25.27/4.20  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 25.27/4.20  % SZS output start Refutation
% See solution above
% 25.27/4.21  
% 25.27/4.21  
% 25.27/4.21  % Terminating...
% 25.27/4.27  % Runner terminated.
% 25.27/4.28  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------