TSTP Solution File: SYN455+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN455+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.yu6lElTwf7 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 04:03:39 EDT 2023

% Result   : Theorem 12.02s 2.36s
% Output   : Refutation 12.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   68
% Syntax   : Number of formulae    :  832 (   1 unt;  67 typ;   0 def)
%            Number of atoms       : 5024 (   0 equ;   0 cnn)
%            Maximal formula atoms :  603 (   6 avg)
%            Number of connectives : 10898 (2599   ~;3204   |; 531   &;4040   @)
%                                         (   0 <=>; 180  =>; 344  <=;   0 <~>)
%            Maximal formula depth :   97 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   68 (  67 usr;  64 con; 0-1 aty)
%            Number of variables   :  955 (   0   ^; 955   !;   0   ?; 955   :)

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

thf(a904_type,type,
    a904: $i ).

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

thf(a942_type,type,
    a942: $i ).

thf(a914_type,type,
    a914: $i ).

thf(a954_type,type,
    a954: $i ).

thf(a916_type,type,
    a916: $i ).

thf(a926_type,type,
    a926: $i ).

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

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

thf(a901_type,type,
    a901: $i ).

thf(a907_type,type,
    a907: $i ).

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

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

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

thf(a902_type,type,
    a902: $i ).

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

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

thf(a905_type,type,
    a905: $i ).

thf(a938_type,type,
    a938: $i ).

thf(a949_type,type,
    a949: $i ).

thf(a933_type,type,
    a933: $i ).

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

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

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

thf(a912_type,type,
    a912: $i ).

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

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

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

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

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

thf(a910_type,type,
    a910: $i ).

thf(a917_type,type,
    a917: $i ).

thf(a937_type,type,
    a937: $i ).

thf(a946_type,type,
    a946: $i ).

thf(a979_type,type,
    a979: $i ).

thf(a936_type,type,
    a936: $i ).

thf(a924_type,type,
    a924: $i ).

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

thf(a939_type,type,
    a939: $i ).

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

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

thf(a908_type,type,
    a908: $i ).

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

thf(a960_type,type,
    a960: $i ).

thf(a909_type,type,
    a909: $i ).

thf(a921_type,type,
    a921: $i ).

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

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

thf(a923_type,type,
    a923: $i ).

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

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

thf(a906_type,type,
    a906: $i ).

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

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

thf(a959_type,type,
    a959: $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(a903_type,type,
    a903: $i ).

thf(a900_type,type,
    a900: $i ).

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

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

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

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

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

thf(co1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & ~ ( c0_1 @ a901 )
          & ~ ( c1_1 @ a901 )
          & ~ ( c3_1 @ a901 ) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & ( c0_1 @ a902 )
          & ( c2_1 @ a902 )
          & ~ ( c1_1 @ a902 ) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & ( c0_1 @ a903 )
          & ~ ( c2_1 @ a903 )
          & ~ ( c3_1 @ a903 ) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & ( c0_1 @ a904 )
          & ~ ( c1_1 @ a904 )
          & ~ ( c2_1 @ a904 ) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & ( c3_1 @ a905 )
          & ~ ( c0_1 @ a905 )
          & ~ ( c2_1 @ a905 ) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & ( c0_1 @ a906 )
          & ( c2_1 @ a906 )
          & ~ ( c3_1 @ a906 ) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & ( c0_1 @ a907 )
          & ( c1_1 @ a907 )
          & ~ ( c2_1 @ a907 ) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & ( c1_1 @ a908 )
          & ~ ( c2_1 @ a908 )
          & ~ ( c3_1 @ a908 ) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & ( c1_1 @ a909 )
          & ~ ( c0_1 @ a909 )
          & ~ ( c3_1 @ a909 ) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & ( c2_1 @ a910 )
          & ~ ( c1_1 @ a910 )
          & ~ ( c3_1 @ a910 ) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & ( c1_1 @ a912 )
          & ( c2_1 @ a912 )
          & ~ ( c0_1 @ a912 ) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & ( c0_1 @ a914 )
          & ( c3_1 @ a914 )
          & ~ ( c2_1 @ a914 ) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & ( c1_1 @ a917 )
          & ( c3_1 @ a917 )
          & ~ ( c2_1 @ a917 ) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & ( c2_1 @ a921 )
          & ~ ( c0_1 @ a921 )
          & ~ ( c3_1 @ a921 ) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & ( c3_1 @ a923 )
          & ~ ( c0_1 @ a923 )
          & ~ ( c1_1 @ a923 ) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & ( c2_1 @ a924 )
          & ~ ( c0_1 @ a924 )
          & ~ ( c1_1 @ a924 ) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & ( c1_1 @ a926 )
          & ( c2_1 @ a926 )
          & ~ ( c3_1 @ a926 ) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & ~ ( c1_1 @ a936 )
          & ~ ( c2_1 @ a936 )
          & ~ ( c3_1 @ a936 ) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & ( c1_1 @ a937 )
          & ~ ( c0_1 @ a937 )
          & ~ ( c2_1 @ a937 ) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & ( c2_1 @ a938 )
          & ( c3_1 @ a938 )
          & ~ ( c0_1 @ a938 ) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & ( c0_1 @ a939 )
          & ~ ( c1_1 @ a939 )
          & ~ ( c3_1 @ a939 ) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & ~ ( c0_1 @ a946 )
          & ~ ( c2_1 @ a946 )
          & ~ ( c3_1 @ a946 ) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & ( c2_1 @ a949 )
          & ( c3_1 @ a949 )
          & ~ ( c1_1 @ a949 ) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & ( c1_1 @ a954 )
          & ( c3_1 @ a954 )
          & ~ ( c0_1 @ a954 ) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & ~ ( c0_1 @ a959 )
          & ~ ( c1_1 @ a959 )
          & ~ ( c2_1 @ a959 ) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & ( c0_1 @ a960 )
          & ( c3_1 @ a960 )
          & ~ ( c1_1 @ a960 ) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & ( c0_1 @ a979 )
          & ( c1_1 @ a979 )
          & ~ ( c3_1 @ a979 ) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & ( c1_1 @ a900 )
          & ( c2_1 @ a900 )
          & ( c3_1 @ a900 ) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & ( c0_1 @ a916 )
          & ( c1_1 @ a916 )
          & ( c3_1 @ a916 ) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & ( c0_1 @ a933 )
          & ( c2_1 @ a933 )
          & ( c3_1 @ a933 ) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & ( c0_1 @ a942 )
          & ( c1_1 @ a942 )
          & ( c2_1 @ a942 ) ) )
      & ( ! [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 )
              | ~ ( c1_1 @ W )
              | ~ ( c3_1 @ W ) ) ) )
      & ( ! [X: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X )
              | ( c1_1 @ X )
              | ( c2_1 @ X ) ) )
        | ! [Y: $i] :
            ( ndr1_0
           => ( ( c0_1 @ Y )
              | ( c3_1 @ Y )
              | ~ ( c2_1 @ Y ) ) )
        | ! [Z: $i] :
            ( ndr1_0
           => ( ( c1_1 @ Z )
              | ( c3_1 @ Z )
              | ~ ( c0_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 ) ) )
        | hskp27 )
      & ( ! [X3: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X3 )
              | ( c1_1 @ X3 )
              | ( c2_1 @ X3 ) ) )
        | ! [X4: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X4 )
              | ~ ( c0_1 @ X4 )
              | ~ ( c3_1 @ X4 ) ) )
        | hskp0 )
      & ( ! [X5: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X5 )
              | ( c1_1 @ X5 )
              | ( c2_1 @ X5 ) ) )
        | ! [X6: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X6 )
              | ~ ( c0_1 @ X6 )
              | ~ ( c2_1 @ X6 ) ) )
        | ! [X7: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X7 )
              | ~ ( c1_1 @ X7 )
              | ~ ( c2_1 @ X7 ) ) ) )
      & ( ! [X8: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X8 )
              | ( c1_1 @ X8 )
              | ( c2_1 @ X8 ) ) )
        | hskp1
        | hskp2 )
      & ( ! [X9: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X9 )
              | ( c1_1 @ X9 )
              | ( c3_1 @ X9 ) ) )
        | ! [X10: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X10 )
              | ( c2_1 @ X10 )
              | ( c3_1 @ X10 ) ) )
        | ! [X11: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X11 )
              | ( c3_1 @ X11 )
              | ~ ( c0_1 @ X11 ) ) ) )
      & ( ! [X12: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X12 )
              | ( c1_1 @ X12 )
              | ( c3_1 @ X12 ) ) )
        | ! [X13: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X13 )
              | ~ ( c1_1 @ X13 )
              | ~ ( c2_1 @ X13 ) ) )
        | ! [X14: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X14 )
              | ( c3_1 @ X14 )
              | ~ ( c0_1 @ X14 ) ) ) )
      & ( ! [X15: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X15 )
              | ( c1_1 @ X15 )
              | ~ ( c2_1 @ X15 ) ) )
        | hskp3
        | hskp4 )
      & ( ! [X16: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X16 )
              | ( c1_1 @ X16 )
              | ~ ( c3_1 @ X16 ) ) )
        | ! [X17: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X17 )
              | ~ ( c2_1 @ X17 )
              | ~ ( c3_1 @ X17 ) ) )
        | hskp5 )
      & ( ! [X18: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X18 )
              | ( c1_1 @ X18 )
              | ~ ( c3_1 @ X18 ) ) )
        | hskp6
        | hskp7 )
      & ( ! [X19: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X19 )
              | ( c2_1 @ X19 )
              | ( c3_1 @ X19 ) ) )
        | ! [X20: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X20 )
              | ~ ( c1_1 @ X20 )
              | ~ ( c3_1 @ X20 ) ) )
        | hskp8 )
      & ( ! [X21: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X21 )
              | ( c2_1 @ X21 )
              | ( c3_1 @ X21 ) ) )
        | ! [X22: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X22 )
              | ( c2_1 @ X22 )
              | ~ ( c0_1 @ X22 ) ) )
        | hskp9 )
      & ( ! [X23: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X23 )
              | ( c2_1 @ X23 )
              | ( c3_1 @ X23 ) ) )
        | hskp27
        | hskp10 )
      & ( ! [X24: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X24 )
              | ( c3_1 @ X24 )
              | ~ ( c1_1 @ X24 ) ) )
        | hskp6
        | hskp11 )
      & ( ! [X25: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X25 )
              | ( c3_1 @ X25 )
              | ~ ( c2_1 @ X25 ) ) )
        | ! [X26: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X26 )
              | ~ ( c2_1 @ X26 )
              | ~ ( c3_1 @ X26 ) ) )
        | hskp5 )
      & ( ! [X27: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X27 )
              | ( c3_1 @ X27 )
              | ~ ( c2_1 @ X27 ) ) )
        | hskp28
        | hskp12 )
      & ( ! [X28: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X28 )
              | ( c3_1 @ X28 )
              | ~ ( c2_1 @ X28 ) ) )
        | hskp2
        | hskp0 )
      & ( ! [X29: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X29 )
              | ~ ( c1_1 @ X29 )
              | ~ ( c2_1 @ X29 ) ) )
        | ! [X30: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X30 )
              | ( c3_1 @ X30 )
              | ~ ( c2_1 @ X30 ) ) )
        | ! [X31: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X31 )
              | ~ ( c1_1 @ X31 )
              | ~ ( c3_1 @ X31 ) ) ) )
      & ( ! [X32: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X32 )
              | ~ ( c1_1 @ X32 )
              | ~ ( c2_1 @ X32 ) ) )
        | hskp3
        | hskp13 )
      & ( ! [X33: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X33 )
              | ~ ( c1_1 @ X33 )
              | ~ ( c2_1 @ X33 ) ) )
        | hskp7
        | hskp14 )
      & ( ! [X34: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X34 )
              | ~ ( c2_1 @ X34 )
              | ~ ( c3_1 @ X34 ) ) )
        | ! [X35: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X35 )
              | ~ ( c2_1 @ X35 )
              | ~ ( c3_1 @ X35 ) ) )
        | hskp15 )
      & ( ! [X36: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X36 )
              | ~ ( c2_1 @ X36 )
              | ~ ( c3_1 @ X36 ) ) )
        | hskp28
        | hskp16 )
      & ( ! [X37: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X37 )
              | ~ ( c2_1 @ X37 )
              | ~ ( c3_1 @ X37 ) ) )
        | hskp7
        | hskp13 )
      & ( ! [X38: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X38 )
              | ( c2_1 @ X38 )
              | ( c3_1 @ X38 ) ) )
        | hskp11
        | hskp27 )
      & ( ! [X39: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X39 )
              | ( c2_1 @ X39 )
              | ( c3_1 @ X39 ) ) )
        | hskp27
        | hskp9 )
      & ( ! [X40: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X40 )
              | ( c2_1 @ X40 )
              | ~ ( c0_1 @ X40 ) ) )
        | ! [X41: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X41 )
              | ~ ( c0_1 @ X41 )
              | ~ ( c3_1 @ X41 ) ) )
        | hskp29 )
      & ( ! [X42: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X42 )
              | ( c2_1 @ X42 )
              | ~ ( c0_1 @ X42 ) ) )
        | ! [X43: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X43 )
              | ~ ( c1_1 @ X43 )
              | ~ ( c3_1 @ X43 ) ) )
        | hskp15 )
      & ( ! [X44: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X44 )
              | ( c2_1 @ X44 )
              | ~ ( c0_1 @ X44 ) ) )
        | hskp12
        | hskp17 )
      & ( ! [X45: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X45 )
              | ( c2_1 @ X45 )
              | ~ ( c0_1 @ X45 ) ) )
        | hskp18
        | hskp19 )
      & ( ! [X46: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X46 )
              | ( c2_1 @ X46 )
              | ~ ( c3_1 @ X46 ) ) )
        | hskp20
        | hskp18 )
      & ( ! [X47: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X47 )
              | ( c3_1 @ X47 )
              | ~ ( c0_1 @ X47 ) ) )
        | ! [X48: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X48 )
              | ~ ( c2_1 @ X48 )
              | ~ ( c3_1 @ X48 ) ) )
        | hskp9 )
      & ( ! [X49: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X49 )
              | ( c3_1 @ X49 )
              | ~ ( c0_1 @ X49 ) ) )
        | hskp30
        | hskp7 )
      & ( ! [X50: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X50 )
              | ~ ( c0_1 @ X50 )
              | ~ ( c2_1 @ X50 ) ) )
        | ! [X51: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X51 )
              | ( c3_1 @ X51 )
              | ~ ( c1_1 @ X51 ) ) )
        | hskp27 )
      & ( ! [X52: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X52 )
              | ~ ( c0_1 @ X52 )
              | ~ ( c2_1 @ X52 ) ) )
        | ! [X53: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X53 )
              | ~ ( c0_1 @ X53 )
              | ~ ( c1_1 @ X53 ) ) )
        | hskp0 )
      & ( ! [X54: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X54 )
              | ~ ( c0_1 @ X54 )
              | ~ ( c3_1 @ X54 ) ) )
        | ! [X55: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X55 )
              | ( c3_1 @ X55 )
              | ~ ( c1_1 @ X55 ) ) )
        | hskp21 )
      & ( ! [X56: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X56 )
              | ~ ( c0_1 @ X56 )
              | ~ ( c3_1 @ X56 ) ) )
        | ! [X57: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X57 )
              | ~ ( c1_1 @ X57 )
              | ~ ( c3_1 @ X57 ) ) )
        | hskp1 )
      & ( ! [X58: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X58 )
              | ~ ( c0_1 @ X58 )
              | ~ ( c3_1 @ X58 ) ) )
        | hskp28 )
      & ( ! [X59: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X59 )
              | ( c3_1 @ X59 )
              | ~ ( c0_1 @ X59 ) ) )
        | ! [X60: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X60 )
              | ~ ( c1_1 @ X60 )
              | ~ ( c3_1 @ X60 ) ) )
        | hskp22 )
      & ( ! [X61: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X61 )
              | ( c3_1 @ X61 )
              | ~ ( c0_1 @ X61 ) ) )
        | ! [X62: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X62 )
              | ~ ( c0_1 @ X62 )
              | ~ ( c1_1 @ X62 ) ) )
        | hskp0 )
      & ( ! [X63: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X63 )
              | ( c3_1 @ X63 )
              | ~ ( c0_1 @ X63 ) ) )
        | hskp6
        | hskp14 )
      & ( ! [X64: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X64 )
              | ( c3_1 @ X64 )
              | ~ ( c0_1 @ X64 ) ) )
        | hskp1
        | hskp23 )
      & ( ! [X65: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X65 )
              | ( c3_1 @ X65 )
              | ~ ( c1_1 @ X65 ) ) )
        | ! [X66: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X66 )
              | ~ ( c1_1 @ X66 )
              | ~ ( c3_1 @ X66 ) ) ) )
      & ( ! [X67: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X67 )
              | ( c3_1 @ X67 )
              | ~ ( c1_1 @ X67 ) ) )
        | ! [X68: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X68 )
              | ~ ( c0_1 @ X68 )
              | ~ ( c2_1 @ X68 ) ) )
        | ! [X69: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X69 )
              | ~ ( c1_1 @ X69 )
              | ~ ( c3_1 @ X69 ) ) ) )
      & ( ! [X70: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X70 )
              | ( c3_1 @ X70 )
              | ~ ( c1_1 @ X70 ) ) )
        | ! [X71: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X71 )
              | ~ ( c2_1 @ X71 )
              | ~ ( c3_1 @ X71 ) ) )
        | hskp16 )
      & ( ! [X72: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X72 )
              | ( c3_1 @ X72 )
              | ~ ( c1_1 @ X72 ) ) )
        | hskp30
        | hskp9 )
      & ( ! [X73: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X73 )
              | ~ ( c0_1 @ X73 )
              | ~ ( c1_1 @ X73 ) ) )
        | hskp30
        | hskp24 )
      & ( ! [X74: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X74 )
              | ~ ( c0_1 @ X74 )
              | ~ ( c3_1 @ X74 ) ) )
        | ! [X75: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X75 )
              | ~ ( c0_1 @ X75 )
              | ~ ( c1_1 @ X75 ) ) )
        | hskp25 )
      & ( ! [X76: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X76 )
              | ~ ( c0_1 @ X76 )
              | ~ ( c3_1 @ X76 ) ) )
        | hskp1
        | hskp10 )
      & ( ! [X77: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X77 )
              | ~ ( c0_1 @ X77 )
              | ~ ( c3_1 @ X77 ) ) )
        | hskp5
        | hskp7 )
      & ( ! [X78: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X78 )
              | ~ ( c1_1 @ X78 )
              | ~ ( c3_1 @ X78 ) ) )
        | hskp25
        | hskp21 )
      & ( ! [X79: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X79 )
              | ~ ( c1_1 @ X79 )
              | ~ ( c3_1 @ X79 ) ) )
        | hskp10
        | hskp21 )
      & ( ! [X80: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X80 )
              | ~ ( c0_1 @ X80 )
              | ~ ( c1_1 @ X80 ) ) )
        | hskp27
        | hskp13 )
      & ( ! [X81: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X81 )
              | ~ ( c0_1 @ X81 )
              | ~ ( c2_1 @ X81 ) ) )
        | hskp30
        | hskp17 )
      & ( ! [X82: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X82 )
              | ~ ( c1_1 @ X82 )
              | ~ ( c2_1 @ X82 ) ) )
        | hskp20
        | hskp8 )
      & ( ! [X83: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X83 )
              | ~ ( c2_1 @ X83 )
              | ~ ( c3_1 @ X83 ) ) )
        | hskp23
        | hskp15 )
      & ( ! [X84: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X84 )
              | ~ ( c2_1 @ X84 )
              | ~ ( c3_1 @ X84 ) ) )
        | hskp11
        | hskp12 )
      & ( hskp26
        | hskp5
        | hskp21 )
      & ( hskp20
        | hskp14
        | hskp4 )
      & ( hskp12
        | hskp13
        | hskp21 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( ~ hskp0
      | ( ndr1_0
        & ~ ( c0_1 @ a901 )
        & ~ ( c1_1 @ a901 )
        & ~ ( c3_1 @ a901 ) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ( c0_1 @ a902 )
        & ( c2_1 @ a902 )
        & ~ ( c1_1 @ a902 ) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ( c0_1 @ a903 )
        & ~ ( c2_1 @ a903 )
        & ~ ( c3_1 @ a903 ) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ( c0_1 @ a904 )
        & ~ ( c1_1 @ a904 )
        & ~ ( c2_1 @ a904 ) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ( c3_1 @ a905 )
        & ~ ( c0_1 @ a905 )
        & ~ ( c2_1 @ a905 ) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ( c0_1 @ a906 )
        & ( c2_1 @ a906 )
        & ~ ( c3_1 @ a906 ) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ( c0_1 @ a907 )
        & ( c1_1 @ a907 )
        & ~ ( c2_1 @ a907 ) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & ( c1_1 @ a908 )
        & ~ ( c2_1 @ a908 )
        & ~ ( c3_1 @ a908 ) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ( c1_1 @ a909 )
        & ~ ( c0_1 @ a909 )
        & ~ ( c3_1 @ a909 ) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ( c2_1 @ a910 )
        & ~ ( c1_1 @ a910 )
        & ~ ( c3_1 @ a910 ) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ( c1_1 @ a912 )
        & ( c2_1 @ a912 )
        & ~ ( c0_1 @ a912 ) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ( c0_1 @ a914 )
        & ( c3_1 @ a914 )
        & ~ ( c2_1 @ a914 ) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ( c1_1 @ a917 )
        & ( c3_1 @ a917 )
        & ~ ( c2_1 @ a917 ) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & ( c2_1 @ a921 )
        & ~ ( c0_1 @ a921 )
        & ~ ( c3_1 @ a921 ) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ( c3_1 @ a923 )
        & ~ ( c0_1 @ a923 )
        & ~ ( c1_1 @ a923 ) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & ( c2_1 @ a924 )
        & ~ ( c0_1 @ a924 )
        & ~ ( c1_1 @ a924 ) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & ( c1_1 @ a926 )
        & ( c2_1 @ a926 )
        & ~ ( c3_1 @ a926 ) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ~ ( c1_1 @ a936 )
        & ~ ( c2_1 @ a936 )
        & ~ ( c3_1 @ a936 ) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ( c1_1 @ a937 )
        & ~ ( c0_1 @ a937 )
        & ~ ( c2_1 @ a937 ) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ( c2_1 @ a938 )
        & ( c3_1 @ a938 )
        & ~ ( c0_1 @ a938 ) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ( c0_1 @ a939 )
        & ~ ( c1_1 @ a939 )
        & ~ ( c3_1 @ a939 ) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & ~ ( c0_1 @ a946 )
        & ~ ( c2_1 @ a946 )
        & ~ ( c3_1 @ a946 ) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ( c2_1 @ a949 )
        & ( c3_1 @ a949 )
        & ~ ( c1_1 @ a949 ) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ( c1_1 @ a954 )
        & ( c3_1 @ a954 )
        & ~ ( c0_1 @ a954 ) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ~ ( c0_1 @ a959 )
        & ~ ( c1_1 @ a959 )
        & ~ ( c2_1 @ a959 ) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ( c0_1 @ a960 )
        & ( c3_1 @ a960 )
        & ~ ( c1_1 @ a960 ) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ( c0_1 @ a979 )
        & ( c1_1 @ a979 )
        & ~ ( c3_1 @ a979 ) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ( c1_1 @ a900 )
        & ( c2_1 @ a900 )
        & ( c3_1 @ a900 ) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & ( c0_1 @ a916 )
        & ( c1_1 @ a916 )
        & ( c3_1 @ a916 ) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & ( c0_1 @ a933 )
        & ( c2_1 @ a933 )
        & ( c3_1 @ a933 ) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & ( c0_1 @ a942 )
        & ( c1_1 @ a942 )
        & ( c2_1 @ a942 ) ) )
    & ( ! [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 )
            | ~ ( c1_1 @ W )
            | ~ ( c3_1 @ W ) ) ) )
    & ( ! [X: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X )
            | ( c1_1 @ X )
            | ( c2_1 @ X ) ) )
      | ! [Y: $i] :
          ( ndr1_0
         => ( ( c0_1 @ Y )
            | ( c3_1 @ Y )
            | ~ ( c2_1 @ Y ) ) )
      | ! [Z: $i] :
          ( ndr1_0
         => ( ( c1_1 @ Z )
            | ( c3_1 @ Z )
            | ~ ( c0_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 ) ) )
      | hskp27 )
    & ( ! [X3: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X3 )
            | ( c1_1 @ X3 )
            | ( c2_1 @ X3 ) ) )
      | ! [X4: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X4 )
            | ~ ( c0_1 @ X4 )
            | ~ ( c3_1 @ X4 ) ) )
      | hskp0 )
    & ( ! [X5: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X5 )
            | ( c1_1 @ X5 )
            | ( c2_1 @ X5 ) ) )
      | ! [X6: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X6 )
            | ~ ( c0_1 @ X6 )
            | ~ ( c2_1 @ X6 ) ) )
      | ! [X7: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X7 )
            | ~ ( c1_1 @ X7 )
            | ~ ( c2_1 @ X7 ) ) ) )
    & ( ! [X8: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X8 )
            | ( c1_1 @ X8 )
            | ( c2_1 @ X8 ) ) )
      | hskp1
      | hskp2 )
    & ( ! [X9: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X9 )
            | ( c1_1 @ X9 )
            | ( c3_1 @ X9 ) ) )
      | ! [X10: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X10 )
            | ( c2_1 @ X10 )
            | ( c3_1 @ X10 ) ) )
      | ! [X11: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X11 )
            | ( c3_1 @ X11 )
            | ~ ( c0_1 @ X11 ) ) ) )
    & ( ! [X12: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X12 )
            | ( c1_1 @ X12 )
            | ( c3_1 @ X12 ) ) )
      | ! [X13: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X13 )
            | ~ ( c1_1 @ X13 )
            | ~ ( c2_1 @ X13 ) ) )
      | ! [X14: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X14 )
            | ( c3_1 @ X14 )
            | ~ ( c0_1 @ X14 ) ) ) )
    & ( ! [X15: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X15 )
            | ( c1_1 @ X15 )
            | ~ ( c2_1 @ X15 ) ) )
      | hskp3
      | hskp4 )
    & ( ! [X16: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X16 )
            | ( c1_1 @ X16 )
            | ~ ( c3_1 @ X16 ) ) )
      | ! [X17: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X17 )
            | ~ ( c2_1 @ X17 )
            | ~ ( c3_1 @ X17 ) ) )
      | hskp5 )
    & ( ! [X18: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X18 )
            | ( c1_1 @ X18 )
            | ~ ( c3_1 @ X18 ) ) )
      | hskp6
      | hskp7 )
    & ( ! [X19: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X19 )
            | ( c2_1 @ X19 )
            | ( c3_1 @ X19 ) ) )
      | ! [X20: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X20 )
            | ~ ( c1_1 @ X20 )
            | ~ ( c3_1 @ X20 ) ) )
      | hskp8 )
    & ( ! [X21: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X21 )
            | ( c2_1 @ X21 )
            | ( c3_1 @ X21 ) ) )
      | ! [X22: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X22 )
            | ( c2_1 @ X22 )
            | ~ ( c0_1 @ X22 ) ) )
      | hskp9 )
    & ( ! [X23: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X23 )
            | ( c2_1 @ X23 )
            | ( c3_1 @ X23 ) ) )
      | hskp27
      | hskp10 )
    & ( ! [X24: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X24 )
            | ( c3_1 @ X24 )
            | ~ ( c1_1 @ X24 ) ) )
      | hskp6
      | hskp11 )
    & ( ! [X25: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X25 )
            | ( c3_1 @ X25 )
            | ~ ( c2_1 @ X25 ) ) )
      | ! [X26: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X26 )
            | ~ ( c2_1 @ X26 )
            | ~ ( c3_1 @ X26 ) ) )
      | hskp5 )
    & ( ! [X27: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X27 )
            | ( c3_1 @ X27 )
            | ~ ( c2_1 @ X27 ) ) )
      | hskp28
      | hskp12 )
    & ( ! [X28: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X28 )
            | ( c3_1 @ X28 )
            | ~ ( c2_1 @ X28 ) ) )
      | hskp2
      | hskp0 )
    & ( ! [X29: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X29 )
            | ~ ( c1_1 @ X29 )
            | ~ ( c2_1 @ X29 ) ) )
      | ! [X30: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X30 )
            | ( c3_1 @ X30 )
            | ~ ( c2_1 @ X30 ) ) )
      | ! [X31: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X31 )
            | ~ ( c1_1 @ X31 )
            | ~ ( c3_1 @ X31 ) ) ) )
    & ( ! [X32: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X32 )
            | ~ ( c1_1 @ X32 )
            | ~ ( c2_1 @ X32 ) ) )
      | hskp3
      | hskp13 )
    & ( ! [X33: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X33 )
            | ~ ( c1_1 @ X33 )
            | ~ ( c2_1 @ X33 ) ) )
      | hskp7
      | hskp14 )
    & ( ! [X34: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X34 )
            | ~ ( c2_1 @ X34 )
            | ~ ( c3_1 @ X34 ) ) )
      | ! [X35: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X35 )
            | ~ ( c2_1 @ X35 )
            | ~ ( c3_1 @ X35 ) ) )
      | hskp15 )
    & ( ! [X36: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X36 )
            | ~ ( c2_1 @ X36 )
            | ~ ( c3_1 @ X36 ) ) )
      | hskp28
      | hskp16 )
    & ( ! [X37: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X37 )
            | ~ ( c2_1 @ X37 )
            | ~ ( c3_1 @ X37 ) ) )
      | hskp7
      | hskp13 )
    & ( ! [X38: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X38 )
            | ( c2_1 @ X38 )
            | ( c3_1 @ X38 ) ) )
      | hskp11
      | hskp27 )
    & ( ! [X39: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X39 )
            | ( c2_1 @ X39 )
            | ( c3_1 @ X39 ) ) )
      | hskp27
      | hskp9 )
    & ( ! [X40: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X40 )
            | ( c2_1 @ X40 )
            | ~ ( c0_1 @ X40 ) ) )
      | ! [X41: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X41 )
            | ~ ( c0_1 @ X41 )
            | ~ ( c3_1 @ X41 ) ) )
      | hskp29 )
    & ( ! [X42: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X42 )
            | ( c2_1 @ X42 )
            | ~ ( c0_1 @ X42 ) ) )
      | ! [X43: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X43 )
            | ~ ( c1_1 @ X43 )
            | ~ ( c3_1 @ X43 ) ) )
      | hskp15 )
    & ( ! [X44: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X44 )
            | ( c2_1 @ X44 )
            | ~ ( c0_1 @ X44 ) ) )
      | hskp12
      | hskp17 )
    & ( ! [X45: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X45 )
            | ( c2_1 @ X45 )
            | ~ ( c0_1 @ X45 ) ) )
      | hskp18
      | hskp19 )
    & ( ! [X46: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X46 )
            | ( c2_1 @ X46 )
            | ~ ( c3_1 @ X46 ) ) )
      | hskp20
      | hskp18 )
    & ( ! [X47: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X47 )
            | ( c3_1 @ X47 )
            | ~ ( c0_1 @ X47 ) ) )
      | ! [X48: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X48 )
            | ~ ( c2_1 @ X48 )
            | ~ ( c3_1 @ X48 ) ) )
      | hskp9 )
    & ( ! [X49: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X49 )
            | ( c3_1 @ X49 )
            | ~ ( c0_1 @ X49 ) ) )
      | hskp30
      | hskp7 )
    & ( ! [X50: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X50 )
            | ~ ( c0_1 @ X50 )
            | ~ ( c2_1 @ X50 ) ) )
      | ! [X51: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X51 )
            | ( c3_1 @ X51 )
            | ~ ( c1_1 @ X51 ) ) )
      | hskp27 )
    & ( ! [X52: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X52 )
            | ~ ( c0_1 @ X52 )
            | ~ ( c2_1 @ X52 ) ) )
      | ! [X53: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X53 )
            | ~ ( c0_1 @ X53 )
            | ~ ( c1_1 @ X53 ) ) )
      | hskp0 )
    & ( ! [X54: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X54 )
            | ~ ( c0_1 @ X54 )
            | ~ ( c3_1 @ X54 ) ) )
      | ! [X55: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X55 )
            | ( c3_1 @ X55 )
            | ~ ( c1_1 @ X55 ) ) )
      | hskp21 )
    & ( ! [X56: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X56 )
            | ~ ( c0_1 @ X56 )
            | ~ ( c3_1 @ X56 ) ) )
      | ! [X57: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X57 )
            | ~ ( c1_1 @ X57 )
            | ~ ( c3_1 @ X57 ) ) )
      | hskp1 )
    & ( ! [X58: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X58 )
            | ~ ( c0_1 @ X58 )
            | ~ ( c3_1 @ X58 ) ) )
      | hskp28 )
    & ( ! [X59: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X59 )
            | ( c3_1 @ X59 )
            | ~ ( c0_1 @ X59 ) ) )
      | ! [X60: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X60 )
            | ~ ( c1_1 @ X60 )
            | ~ ( c3_1 @ X60 ) ) )
      | hskp22 )
    & ( ! [X61: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X61 )
            | ( c3_1 @ X61 )
            | ~ ( c0_1 @ X61 ) ) )
      | ! [X62: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X62 )
            | ~ ( c0_1 @ X62 )
            | ~ ( c1_1 @ X62 ) ) )
      | hskp0 )
    & ( ! [X63: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X63 )
            | ( c3_1 @ X63 )
            | ~ ( c0_1 @ X63 ) ) )
      | hskp6
      | hskp14 )
    & ( ! [X64: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X64 )
            | ( c3_1 @ X64 )
            | ~ ( c0_1 @ X64 ) ) )
      | hskp1
      | hskp23 )
    & ( ! [X65: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X65 )
            | ( c3_1 @ X65 )
            | ~ ( c1_1 @ X65 ) ) )
      | ! [X66: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X66 )
            | ~ ( c1_1 @ X66 )
            | ~ ( c3_1 @ X66 ) ) ) )
    & ( ! [X67: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X67 )
            | ( c3_1 @ X67 )
            | ~ ( c1_1 @ X67 ) ) )
      | ! [X68: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X68 )
            | ~ ( c0_1 @ X68 )
            | ~ ( c2_1 @ X68 ) ) )
      | ! [X69: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X69 )
            | ~ ( c1_1 @ X69 )
            | ~ ( c3_1 @ X69 ) ) ) )
    & ( ! [X70: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X70 )
            | ( c3_1 @ X70 )
            | ~ ( c1_1 @ X70 ) ) )
      | ! [X71: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X71 )
            | ~ ( c2_1 @ X71 )
            | ~ ( c3_1 @ X71 ) ) )
      | hskp16 )
    & ( ! [X72: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X72 )
            | ( c3_1 @ X72 )
            | ~ ( c1_1 @ X72 ) ) )
      | hskp30
      | hskp9 )
    & ( ! [X73: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X73 )
            | ~ ( c0_1 @ X73 )
            | ~ ( c1_1 @ X73 ) ) )
      | hskp30
      | hskp24 )
    & ( ! [X74: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X74 )
            | ~ ( c0_1 @ X74 )
            | ~ ( c3_1 @ X74 ) ) )
      | ! [X75: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X75 )
            | ~ ( c0_1 @ X75 )
            | ~ ( c1_1 @ X75 ) ) )
      | hskp25 )
    & ( ! [X76: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X76 )
            | ~ ( c0_1 @ X76 )
            | ~ ( c3_1 @ X76 ) ) )
      | hskp1
      | hskp10 )
    & ( ! [X77: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X77 )
            | ~ ( c0_1 @ X77 )
            | ~ ( c3_1 @ X77 ) ) )
      | hskp5
      | hskp7 )
    & ( ! [X78: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X78 )
            | ~ ( c1_1 @ X78 )
            | ~ ( c3_1 @ X78 ) ) )
      | hskp25
      | hskp21 )
    & ( ! [X79: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X79 )
            | ~ ( c1_1 @ X79 )
            | ~ ( c3_1 @ X79 ) ) )
      | hskp10
      | hskp21 )
    & ( ! [X80: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X80 )
            | ~ ( c0_1 @ X80 )
            | ~ ( c1_1 @ X80 ) ) )
      | hskp27
      | hskp13 )
    & ( ! [X81: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X81 )
            | ~ ( c0_1 @ X81 )
            | ~ ( c2_1 @ X81 ) ) )
      | hskp30
      | hskp17 )
    & ( ! [X82: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X82 )
            | ~ ( c1_1 @ X82 )
            | ~ ( c2_1 @ X82 ) ) )
      | hskp20
      | hskp8 )
    & ( ! [X83: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X83 )
            | ~ ( c2_1 @ X83 )
            | ~ ( c3_1 @ X83 ) ) )
      | hskp23
      | hskp15 )
    & ( ! [X84: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X84 )
            | ~ ( c2_1 @ X84 )
            | ~ ( c3_1 @ X84 ) ) )
      | hskp11
      | hskp12 )
    & ( hskp26
      | hskp5
      | hskp21 )
    & ( hskp20
      | hskp14
      | hskp4 )
    & ( hskp12
      | hskp13
      | hskp21 ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl27,plain,
    ! [X35: $i] :
      ( ( c1_1 @ X35 )
      | ( c3_1 @ X35 )
      | ~ ( c0_1 @ X35 )
      | ~ ndr1_0
      | hskp30
      | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl287,plain,
    ( ! [X35: $i] :
        ( ( c1_1 @ X35 )
        | ( c3_1 @ X35 )
        | ~ ( c0_1 @ X35 ) )
   <= ! [X35: $i] :
        ( ( c1_1 @ X35 )
        | ( c3_1 @ X35 )
        | ~ ( c0_1 @ X35 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl7,plain,
    ! [X4: $i] :
      ( ( c3_1 @ X4 )
      | ~ ( c0_1 @ X4 )
      | ~ ( c1_1 @ X4 )
      | ~ ndr1_0
      | hskp27
      | hskp13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl209,plain,
    ( ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl1050,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ( c3_1 @ X0 )
        | ( c3_1 @ X0 )
        | ~ ( c0_1 @ X0 ) )
   <= ( ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 ) )
      & ! [X35: $i] :
          ( ( c1_1 @ X35 )
          | ( c3_1 @ X35 )
          | ~ ( c0_1 @ X35 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl287,zip_derived_cl209]) ).

thf(zip_derived_cl1078,plain,
    ( ! [X0: $i] :
        ( ( c3_1 @ X0 )
        | ~ ( c0_1 @ X0 ) )
   <= ( ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 ) )
      & ! [X35: $i] :
          ( ( c1_1 @ X35 )
          | ( c3_1 @ X35 )
          | ~ ( c0_1 @ X35 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1050]) ).

thf(zip_derived_cl163,plain,
    ( ~ hskp5
    | ~ ( c3_1 @ a906 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl625,plain,
    ( ~ ( c3_1 @ a906 )
   <= ~ ( c3_1 @ a906 ) ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl2532,plain,
    ( ~ ( c0_1 @ a906 )
   <= ( ~ ( c3_1 @ a906 )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 ) )
      & ! [X35: $i] :
          ( ( c1_1 @ X35 )
          | ( c3_1 @ X35 )
          | ~ ( c0_1 @ X35 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1078,zip_derived_cl625]) ).

thf(zip_derived_cl161,plain,
    ( ~ hskp5
    | ( c0_1 @ a906 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl621,plain,
    ( ( c0_1 @ a906 )
   <= ( c0_1 @ a906 ) ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf('0',plain,
    ( ~ ! [X35: $i] :
          ( ( c1_1 @ X35 )
          | ( c3_1 @ X35 )
          | ~ ( c0_1 @ X35 ) )
    | ~ ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 ) )
    | ( c3_1 @ a906 )
    | ~ ( c0_1 @ a906 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2532,zip_derived_cl621]) ).

thf(zip_derived_cl63,plain,
    ( ~ hskp30
    | ( c2_1 @ a942 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl425,plain,
    ( ( c2_1 @ a942 )
   <= ( c2_1 @ a942 ) ),
    inference(split,[status(esa)],[zip_derived_cl63]) ).

thf(zip_derived_cl4,plain,
    ! [X1: $i] :
      ( ~ ( c0_1 @ X1 )
      | ~ ( c2_1 @ X1 )
      | ~ ( c3_1 @ X1 )
      | ~ ndr1_0
      | hskp23
      | hskp15 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl197,plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf(zip_derived_cl1091,plain,
    ( ( ~ ( c0_1 @ a942 )
      | ~ ( c3_1 @ a942 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ( c2_1 @ a942 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl425,zip_derived_cl197]) ).

thf('1',plain,
    ( ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c3_1 @ a942 )
    | ~ ( c0_1 @ a942 )
    | ~ ( c2_1 @ a942 ) ),
    inference(split,[status(esa)],[zip_derived_cl1091]) ).

thf(zip_derived_cl159,plain,
    ( ~ hskp6
    | ~ ( c2_1 @ a907 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl617,plain,
    ( ~ ( c2_1 @ a907 )
   <= ~ ( c2_1 @ a907 ) ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl10,plain,
    ! [X7: $i] :
      ( ( c2_1 @ X7 )
      | ~ ( c0_1 @ X7 )
      | ~ ( c3_1 @ X7 )
      | ~ ndr1_0
      | hskp5
      | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl221,plain,
    ( ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c3_1 @ X7 ) )
   <= ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c3_1 @ X7 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl757,plain,
    ( ( ~ ( c0_1 @ a907 )
      | ~ ( c3_1 @ a907 ) )
   <= ( ~ ( c2_1 @ a907 )
      & ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c3_1 @ X7 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl617,zip_derived_cl221]) ).

thf('2',plain,
    ( ~ ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
    | ~ ( c3_1 @ a907 )
    | ( c2_1 @ a907 )
    | ~ ( c0_1 @ a907 ) ),
    inference(split,[status(esa)],[zip_derived_cl757]) ).

thf(zip_derived_cl158,plain,
    ( ~ hskp6
    | ( c1_1 @ a907 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl615,plain,
    ( ( c1_1 @ a907 )
   <= ( c1_1 @ a907 ) ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl13,plain,
    ! [X11: $i] :
      ( ( c2_1 @ X11 )
      | ~ ( c0_1 @ X11 )
      | ~ ( c1_1 @ X11 )
      | ~ ndr1_0
      | hskp30
      | hskp24 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl233,plain,
    ( ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c1_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c1_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl1369,plain,
    ( ( ( c2_1 @ a907 )
      | ~ ( c0_1 @ a907 ) )
   <= ( ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c0_1 @ X11 )
          | ~ ( c1_1 @ X11 ) )
      & ( c1_1 @ a907 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl615,zip_derived_cl233]) ).

thf('3',plain,
    ( ~ ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c0_1 @ X11 )
          | ~ ( c1_1 @ X11 ) )
    | ( c2_1 @ a907 )
    | ~ ( c1_1 @ a907 )
    | ~ ( c0_1 @ a907 ) ),
    inference(split,[status(esa)],[zip_derived_cl1369]) ).

thf(zip_derived_cl54,plain,
    ! [X76: $i] :
      ( ( c0_1 @ X76 )
      | ( c1_1 @ X76 )
      | ( c2_1 @ X76 )
      | ~ ndr1_0
      | hskp1
      | hskp2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl395,plain,
    ( ! [X76: $i] :
        ( ( c0_1 @ X76 )
        | ( c1_1 @ X76 )
        | ( c2_1 @ X76 ) )
   <= ! [X76: $i] :
        ( ( c0_1 @ X76 )
        | ( c1_1 @ X76 )
        | ( c2_1 @ X76 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf(zip_derived_cl14,plain,
    ! [X12: $i] :
      ( ( c2_1 @ X12 )
      | ( c3_1 @ X12 )
      | ~ ( c1_1 @ X12 )
      | ~ ndr1_0
      | hskp30
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl237,plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c1_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c1_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl1931,plain,
    ( ! [X0: $i] :
        ( ( c2_1 @ X0 )
        | ( c0_1 @ X0 )
        | ( c2_1 @ X0 )
        | ( c3_1 @ X0 ) )
   <= ( ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c3_1 @ X12 )
          | ~ ( c1_1 @ X12 ) )
      & ! [X76: $i] :
          ( ( c0_1 @ X76 )
          | ( c1_1 @ X76 )
          | ( c2_1 @ X76 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl395,zip_derived_cl237]) ).

thf(zip_derived_cl1960,plain,
    ( ! [X0: $i] :
        ( ( c3_1 @ X0 )
        | ( c0_1 @ X0 )
        | ( c2_1 @ X0 ) )
   <= ( ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c3_1 @ X12 )
          | ~ ( c1_1 @ X12 ) )
      & ! [X76: $i] :
          ( ( c0_1 @ X76 )
          | ( c1_1 @ X76 )
          | ( c2_1 @ X76 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1931]) ).

thf(zip_derived_cl52,plain,
    ! [X70: $i,X71: $i,X72: $i] :
      ( ( c0_1 @ X70 )
      | ( c1_1 @ X70 )
      | ( c3_1 @ X70 )
      | ~ ndr1_0
      | ( c0_1 @ X71 )
      | ~ ( c1_1 @ X71 )
      | ~ ( c2_1 @ X71 )
      | ~ ndr1_0
      | ( c2_1 @ X72 )
      | ( c3_1 @ X72 )
      | ~ ( c0_1 @ X72 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl389,plain,
    ( ! [X70: $i] :
        ( ( c0_1 @ X70 )
        | ( c1_1 @ X70 )
        | ( c3_1 @ X70 ) )
   <= ! [X70: $i] :
        ( ( c0_1 @ X70 )
        | ( c1_1 @ X70 )
        | ( c3_1 @ X70 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl146,plain,
    ( ~ hskp9
    | ~ ( c1_1 @ a910 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl591,plain,
    ( ~ ( c1_1 @ a910 )
   <= ~ ( c1_1 @ a910 ) ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf(zip_derived_cl1881,plain,
    ( ( ( c3_1 @ a910 )
      | ( c0_1 @ a910 ) )
   <= ( ~ ( c1_1 @ a910 )
      & ! [X70: $i] :
          ( ( c0_1 @ X70 )
          | ( c1_1 @ X70 )
          | ( c3_1 @ X70 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl389,zip_derived_cl591]) ).

thf('4',plain,
    ( ( c0_1 @ a910 )
    | ~ ! [X70: $i] :
          ( ( c0_1 @ X70 )
          | ( c1_1 @ X70 )
          | ( c3_1 @ X70 ) )
    | ( c3_1 @ a910 )
    | ( c1_1 @ a910 ) ),
    inference(split,[status(esa)],[zip_derived_cl1881]) ).

thf(zip_derived_cl153,plain,
    ( ~ hskp7
    | ( c1_1 @ a908 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl605,plain,
    ( ( c1_1 @ a908 )
   <= ( c1_1 @ a908 ) ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl209_001,plain,
    ( ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl1312,plain,
    ( ( ( c3_1 @ a908 )
      | ~ ( c0_1 @ a908 ) )
   <= ( ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 ) )
      & ( c1_1 @ a908 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl605,zip_derived_cl209]) ).

thf('5',plain,
    ( ( c3_1 @ a908 )
    | ~ ( c0_1 @ a908 )
    | ~ ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 ) )
    | ~ ( c1_1 @ a908 ) ),
    inference(split,[status(esa)],[zip_derived_cl1312]) ).

thf(zip_derived_cl615_002,plain,
    ( ( c1_1 @ a907 )
   <= ( c1_1 @ a907 ) ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl209_003,plain,
    ( ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl1367,plain,
    ( ( ( c3_1 @ a907 )
      | ~ ( c0_1 @ a907 ) )
   <= ( ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 ) )
      & ( c1_1 @ a907 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl615,zip_derived_cl209]) ).

thf('6',plain,
    ( ( c3_1 @ a907 )
    | ~ ( c1_1 @ a907 )
    | ~ ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 ) )
    | ~ ( c0_1 @ a907 ) ),
    inference(split,[status(esa)],[zip_derived_cl1367]) ).

thf(zip_derived_cl20,plain,
    ! [X22: $i,X23: $i] :
      ( ( c2_1 @ X22 )
      | ( c3_1 @ X22 )
      | ~ ( c0_1 @ X22 )
      | ~ ndr1_0
      | ( c3_1 @ X23 )
      | ~ ( c0_1 @ X23 )
      | ~ ( c1_1 @ X23 )
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('7',plain,
    ( hskp0
    | ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 ) )
    | ! [X20: $i] :
        ( ( c2_1 @ X20 )
        | ( c3_1 @ X20 )
        | ~ ( c0_1 @ X20 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl181,plain,
    ( ~ hskp0
    | ~ ( c0_1 @ a901 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('8',plain,
    ( ~ ( c0_1 @ a901 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl181]) ).

thf(zip_derived_cl389_004,plain,
    ( ! [X70: $i] :
        ( ( c0_1 @ X70 )
        | ( c1_1 @ X70 )
        | ( c3_1 @ X70 ) )
   <= ! [X70: $i] :
        ( ( c0_1 @ X70 )
        | ( c1_1 @ X70 )
        | ( c3_1 @ X70 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl182,plain,
    ( ~ hskp0
    | ~ ( c1_1 @ a901 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl663,plain,
    ( ~ ( c1_1 @ a901 )
   <= ~ ( c1_1 @ a901 ) ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf(zip_derived_cl1878,plain,
    ( ( ( c3_1 @ a901 )
      | ( c0_1 @ a901 ) )
   <= ( ~ ( c1_1 @ a901 )
      & ! [X70: $i] :
          ( ( c0_1 @ X70 )
          | ( c1_1 @ X70 )
          | ( c3_1 @ X70 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl389,zip_derived_cl663]) ).

thf('9',plain,
    ( ~ ! [X70: $i] :
          ( ( c0_1 @ X70 )
          | ( c1_1 @ X70 )
          | ( c3_1 @ X70 ) )
    | ( c0_1 @ a901 )
    | ( c1_1 @ a901 )
    | ( c3_1 @ a901 ) ),
    inference(split,[status(esa)],[zip_derived_cl1878]) ).

thf(zip_derived_cl29,plain,
    ! [X38: $i] :
      ( ( c1_1 @ X38 )
      | ( c2_1 @ X38 )
      | ~ ( c3_1 @ X38 )
      | ~ ndr1_0
      | hskp20
      | hskp18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('10',plain,
    ( ! [X38: $i] :
        ( ( c1_1 @ X38 )
        | ( c2_1 @ X38 )
        | ~ ( c3_1 @ X38 ) )
    | hskp20
    | hskp18
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl102,plain,
    ( ~ hskp20
    | ~ ( c1_1 @ a939 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('11',plain,
    ( ~ ( c1_1 @ a939 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl102]) ).

thf(zip_derived_cl287_005,plain,
    ( ! [X35: $i] :
        ( ( c1_1 @ X35 )
        | ( c3_1 @ X35 )
        | ~ ( c0_1 @ X35 ) )
   <= ! [X35: $i] :
        ( ( c1_1 @ X35 )
        | ( c3_1 @ X35 )
        | ~ ( c0_1 @ X35 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl503,plain,
    ( ~ ( c1_1 @ a939 )
   <= ~ ( c1_1 @ a939 ) ),
    inference(split,[status(esa)],[zip_derived_cl102]) ).

thf(zip_derived_cl1062,plain,
    ( ( ~ ( c0_1 @ a939 )
      | ( c3_1 @ a939 ) )
   <= ( ~ ( c1_1 @ a939 )
      & ! [X35: $i] :
          ( ( c1_1 @ X35 )
          | ( c3_1 @ X35 )
          | ~ ( c0_1 @ X35 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl287,zip_derived_cl503]) ).

thf('12',plain,
    ( ~ ! [X35: $i] :
          ( ( c1_1 @ X35 )
          | ( c3_1 @ X35 )
          | ~ ( c0_1 @ X35 ) )
    | ( c1_1 @ a939 )
    | ( c3_1 @ a939 )
    | ~ ( c0_1 @ a939 ) ),
    inference(split,[status(esa)],[zip_derived_cl1062]) ).

thf(zip_derived_cl58,plain,
    ! [X84: $i,X85: $i,X86: $i] :
      ( ( c0_1 @ X84 )
      | ( c1_1 @ X84 )
      | ( c2_1 @ X84 )
      | ~ ndr1_0
      | ( c0_1 @ X85 )
      | ( c3_1 @ X85 )
      | ~ ( c2_1 @ X85 )
      | ~ ndr1_0
      | ( c1_1 @ X86 )
      | ( c3_1 @ X86 )
      | ~ ( c0_1 @ X86 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('13',plain,
    ( ! [X76: $i] :
        ( ( c0_1 @ X76 )
        | ( c1_1 @ X76 )
        | ( c2_1 @ X76 ) )
    | ! [X35: $i] :
        ( ( c1_1 @ X35 )
        | ( c3_1 @ X35 )
        | ~ ( c0_1 @ X35 ) )
    | ~ ndr1_0
    | ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ( c3_1 @ X56 )
        | ~ ( c2_1 @ X56 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf(zip_derived_cl295,plain,
    ( ! [X38: $i] :
        ( ( c1_1 @ X38 )
        | ( c2_1 @ X38 )
        | ~ ( c3_1 @ X38 ) )
   <= ! [X38: $i] :
        ( ( c1_1 @ X38 )
        | ( c2_1 @ X38 )
        | ~ ( c3_1 @ X38 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl8,plain,
    ! [X5: $i] :
      ( ( c2_1 @ X5 )
      | ~ ( c1_1 @ X5 )
      | ~ ( c3_1 @ X5 )
      | ~ ndr1_0
      | hskp10
      | hskp21 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl213,plain,
    ( ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c3_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c3_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl1128,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ( c2_1 @ X0 )
        | ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
      & ! [X38: $i] :
          ( ( c1_1 @ X38 )
          | ( c2_1 @ X38 )
          | ~ ( c3_1 @ X38 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl295,zip_derived_cl213]) ).

thf(zip_derived_cl1155,plain,
    ( ! [X0: $i] :
        ( ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
      & ! [X38: $i] :
          ( ( c1_1 @ X38 )
          | ( c2_1 @ X38 )
          | ~ ( c3_1 @ X38 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1128]) ).

thf(zip_derived_cl139,plain,
    ( ~ hskp11
    | ~ ( c2_1 @ a914 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl577,plain,
    ( ~ ( c2_1 @ a914 )
   <= ~ ( c2_1 @ a914 ) ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf(zip_derived_cl2635,plain,
    ( ~ ( c3_1 @ a914 )
   <= ( ~ ( c2_1 @ a914 )
      & ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
      & ! [X38: $i] :
          ( ( c1_1 @ X38 )
          | ( c2_1 @ X38 )
          | ~ ( c3_1 @ X38 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1155,zip_derived_cl577]) ).

thf(zip_derived_cl18,plain,
    ! [X20: $i] :
      ( ( c2_1 @ X20 )
      | ( c3_1 @ X20 )
      | ~ ( c0_1 @ X20 )
      | ~ ndr1_0
      | hskp1
      | hskp23 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl252,plain,
    ( ! [X20: $i] :
        ( ( c2_1 @ X20 )
        | ( c3_1 @ X20 )
        | ~ ( c0_1 @ X20 ) )
   <= ! [X20: $i] :
        ( ( c2_1 @ X20 )
        | ( c3_1 @ X20 )
        | ~ ( c0_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl577_006,plain,
    ( ~ ( c2_1 @ a914 )
   <= ~ ( c2_1 @ a914 ) ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf(zip_derived_cl798,plain,
    ( ( ~ ( c0_1 @ a914 )
      | ( c3_1 @ a914 ) )
   <= ( ~ ( c2_1 @ a914 )
      & ! [X20: $i] :
          ( ( c2_1 @ X20 )
          | ( c3_1 @ X20 )
          | ~ ( c0_1 @ X20 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl252,zip_derived_cl577]) ).

thf(zip_derived_cl841,plain,
    ( ( c3_1 @ a914 )
   <= ( c3_1 @ a914 ) ),
    inference(split,[status(esa)],[zip_derived_cl798]) ).

thf('14',plain,
    ( ~ ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
    | ~ ! [X38: $i] :
          ( ( c1_1 @ X38 )
          | ( c2_1 @ X38 )
          | ~ ( c3_1 @ X38 ) )
    | ~ ( c3_1 @ a914 )
    | ( c2_1 @ a914 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2635,zip_derived_cl841]) ).

thf(zip_derived_cl47,plain,
    ! [X62: $i,X63: $i] :
      ( ( c0_1 @ X62 )
      | ( c2_1 @ X62 )
      | ( c3_1 @ X62 )
      | ~ ndr1_0
      | ( c1_1 @ X63 )
      | ( c2_1 @ X63 )
      | ~ ( c0_1 @ X63 )
      | ~ ndr1_0
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('15',plain,
    ( hskp9
    | ! [X39: $i] :
        ( ( c1_1 @ X39 )
        | ( c2_1 @ X39 )
        | ~ ( c0_1 @ X39 ) )
    | ! [X61: $i] :
        ( ( c0_1 @ X61 )
        | ( c2_1 @ X61 )
        | ( c3_1 @ X61 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(zip_derived_cl22,plain,
    ! [X26: $i] :
      ( ( c1_1 @ X26 )
      | ~ ( c0_1 @ X26 )
      | ~ ( c3_1 @ X26 )
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl268,plain,
    ( ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ~ ( c0_1 @ X26 )
        | ~ ( c3_1 @ X26 ) )
   <= ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ~ ( c0_1 @ X26 )
        | ~ ( c3_1 @ X26 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl213_007,plain,
    ( ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c3_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c3_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl876,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
      & ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ~ ( c0_1 @ X26 )
          | ~ ( c3_1 @ X26 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl268,zip_derived_cl213]) ).

thf(zip_derived_cl904,plain,
    ( ! [X0: $i] :
        ( ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
      & ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ~ ( c0_1 @ X26 )
          | ~ ( c3_1 @ X26 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl876]) ).

thf(zip_derived_cl577_008,plain,
    ( ~ ( c2_1 @ a914 )
   <= ~ ( c2_1 @ a914 ) ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf(zip_derived_cl2180,plain,
    ( ( ~ ( c3_1 @ a914 )
      | ~ ( c0_1 @ a914 ) )
   <= ( ~ ( c2_1 @ a914 )
      & ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
      & ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ~ ( c0_1 @ X26 )
          | ~ ( c3_1 @ X26 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl904,zip_derived_cl577]) ).

thf('16',plain,
    ( ~ ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
    | ~ ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ~ ( c0_1 @ X26 )
          | ~ ( c3_1 @ X26 ) )
    | ~ ( c3_1 @ a914 )
    | ~ ( c0_1 @ a914 )
    | ( c2_1 @ a914 ) ),
    inference(split,[status(esa)],[zip_derived_cl2180]) ).

thf(zip_derived_cl45,plain,
    ! [X60: $i] :
      ( ( c0_1 @ X60 )
      | ( c3_1 @ X60 )
      | ~ ( c1_1 @ X60 )
      | ~ ndr1_0
      | hskp6
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('17',plain,
    ( hskp11
    | ! [X60: $i] :
        ( ( c0_1 @ X60 )
        | ( c3_1 @ X60 )
        | ~ ( c1_1 @ X60 ) )
    | ~ ndr1_0
    | hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl605_009,plain,
    ( ( c1_1 @ a908 )
   <= ( c1_1 @ a908 ) ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl359,plain,
    ( ! [X60: $i] :
        ( ( c0_1 @ X60 )
        | ( c3_1 @ X60 )
        | ~ ( c1_1 @ X60 ) )
   <= ! [X60: $i] :
        ( ( c0_1 @ X60 )
        | ( c3_1 @ X60 )
        | ~ ( c1_1 @ X60 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl1622,plain,
    ( ( ( c0_1 @ a908 )
      | ( c3_1 @ a908 ) )
   <= ( ! [X60: $i] :
          ( ( c0_1 @ X60 )
          | ( c3_1 @ X60 )
          | ~ ( c1_1 @ X60 ) )
      & ( c1_1 @ a908 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl605,zip_derived_cl359]) ).

thf('18',plain,
    ( ( c0_1 @ a908 )
    | ~ ! [X60: $i] :
          ( ( c0_1 @ X60 )
          | ( c3_1 @ X60 )
          | ~ ( c1_1 @ X60 ) )
    | ~ ( c1_1 @ a908 )
    | ( c3_1 @ a908 ) ),
    inference(split,[status(esa)],[zip_derived_cl1622]) ).

thf(zip_derived_cl252_010,plain,
    ( ! [X20: $i] :
        ( ( c2_1 @ X20 )
        | ( c3_1 @ X20 )
        | ~ ( c0_1 @ X20 ) )
   <= ! [X20: $i] :
        ( ( c2_1 @ X20 )
        | ( c3_1 @ X20 )
        | ~ ( c0_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl154,plain,
    ( ~ hskp7
    | ~ ( c2_1 @ a908 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl607,plain,
    ( ~ ( c2_1 @ a908 )
   <= ~ ( c2_1 @ a908 ) ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl797,plain,
    ( ( ~ ( c0_1 @ a908 )
      | ( c3_1 @ a908 ) )
   <= ( ~ ( c2_1 @ a908 )
      & ! [X20: $i] :
          ( ( c2_1 @ X20 )
          | ( c3_1 @ X20 )
          | ~ ( c0_1 @ X20 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl252,zip_derived_cl607]) ).

thf('19',plain,
    ( ( c2_1 @ a908 )
    | ( c3_1 @ a908 )
    | ~ ! [X20: $i] :
          ( ( c2_1 @ X20 )
          | ( c3_1 @ X20 )
          | ~ ( c0_1 @ X20 ) )
    | ~ ( c0_1 @ a908 ) ),
    inference(split,[status(esa)],[zip_derived_cl797]) ).

thf(zip_derived_cl36,plain,
    ! [X47: $i] :
      ( ( c0_1 @ X47 )
      | ~ ( c2_1 @ X47 )
      | ~ ( c3_1 @ X47 )
      | ~ ndr1_0
      | hskp7
      | hskp13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('20',plain,
    ( hskp13
    | ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c2_1 @ X47 )
        | ~ ( c3_1 @ X47 ) )
    | hskp7
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl252_011,plain,
    ( ! [X20: $i] :
        ( ( c2_1 @ X20 )
        | ( c3_1 @ X20 )
        | ~ ( c0_1 @ X20 ) )
   <= ! [X20: $i] :
        ( ( c2_1 @ X20 )
        | ( c3_1 @ X20 )
        | ~ ( c0_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl617_012,plain,
    ( ~ ( c2_1 @ a907 )
   <= ~ ( c2_1 @ a907 ) ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl796,plain,
    ( ( ~ ( c0_1 @ a907 )
      | ( c3_1 @ a907 ) )
   <= ( ~ ( c2_1 @ a907 )
      & ! [X20: $i] :
          ( ( c2_1 @ X20 )
          | ( c3_1 @ X20 )
          | ~ ( c0_1 @ X20 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl252,zip_derived_cl617]) ).

thf('21',plain,
    ( ( c3_1 @ a907 )
    | ( c2_1 @ a907 )
    | ~ ! [X20: $i] :
          ( ( c2_1 @ X20 )
          | ( c3_1 @ X20 )
          | ~ ( c0_1 @ X20 ) )
    | ~ ( c0_1 @ a907 ) ),
    inference(split,[status(esa)],[zip_derived_cl796]) ).

thf(zip_derived_cl157,plain,
    ( ~ hskp6
    | ( c0_1 @ a907 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('22',plain,
    ( ( c0_1 @ a907 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl59,plain,
    ! [X87: $i,X88: $i,X89: $i] :
      ( ( c0_1 @ X87 )
      | ( c1_1 @ X87 )
      | ( c2_1 @ X87 )
      | ~ ndr1_0
      | ( c0_1 @ X88 )
      | ( c2_1 @ X88 )
      | ~ ( c3_1 @ X88 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X89 )
      | ~ ( c1_1 @ X89 )
      | ~ ( c3_1 @ X89 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl416,plain,
    ( ! [X88: $i] :
        ( ( c0_1 @ X88 )
        | ( c2_1 @ X88 )
        | ~ ( c3_1 @ X88 ) )
   <= ! [X88: $i] :
        ( ( c0_1 @ X88 )
        | ( c2_1 @ X88 )
        | ~ ( c3_1 @ X88 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl111,plain,
    ( ~ hskp18
    | ~ ( c2_1 @ a937 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl521,plain,
    ( ~ ( c2_1 @ a937 )
   <= ~ ( c2_1 @ a937 ) ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl1828,plain,
    ( ( ~ ( c3_1 @ a937 )
      | ( c0_1 @ a937 ) )
   <= ( ~ ( c2_1 @ a937 )
      & ! [X88: $i] :
          ( ( c0_1 @ X88 )
          | ( c2_1 @ X88 )
          | ~ ( c3_1 @ X88 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl416,zip_derived_cl521]) ).

thf('23',plain,
    ( ( c0_1 @ a937 )
    | ~ ! [X88: $i] :
          ( ( c0_1 @ X88 )
          | ( c2_1 @ X88 )
          | ~ ( c3_1 @ X88 ) )
    | ~ ( c3_1 @ a937 )
    | ( c2_1 @ a937 ) ),
    inference(split,[status(esa)],[zip_derived_cl1828]) ).

thf(zip_derived_cl615_013,plain,
    ( ( c1_1 @ a907 )
   <= ( c1_1 @ a907 ) ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl237_014,plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c1_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c1_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl1370,plain,
    ( ( ( c2_1 @ a907 )
      | ( c3_1 @ a907 ) )
   <= ( ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c3_1 @ X12 )
          | ~ ( c1_1 @ X12 ) )
      & ( c1_1 @ a907 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl615,zip_derived_cl237]) ).

thf('24',plain,
    ( ( c3_1 @ a907 )
    | ~ ( c1_1 @ a907 )
    | ~ ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c3_1 @ X12 )
          | ~ ( c1_1 @ X12 ) )
    | ( c2_1 @ a907 ) ),
    inference(split,[status(esa)],[zip_derived_cl1370]) ).

thf('25',plain,
    ( ( c1_1 @ a907 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf('26',plain,
    ( ~ ( c2_1 @ a907 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl19,plain,
    ! [X21: $i] :
      ( ( c2_1 @ X21 )
      | ( c3_1 @ X21 )
      | ~ ( c0_1 @ X21 )
      | ~ ndr1_0
      | hskp6
      | hskp14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('27',plain,
    ( hskp6
    | hskp14
    | ! [X20: $i] :
        ( ( c2_1 @ X20 )
        | ( c3_1 @ X20 )
        | ~ ( c0_1 @ X20 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl49,plain,
    ! [X66: $i] :
      ( ( c0_1 @ X66 )
      | ( c1_1 @ X66 )
      | ~ ( c3_1 @ X66 )
      | ~ ndr1_0
      | hskp6
      | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('28',plain,
    ( ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ( c1_1 @ X66 )
        | ~ ( c3_1 @ X66 ) )
    | hskp6
    | ~ ndr1_0
    | hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl252_015,plain,
    ( ! [X20: $i] :
        ( ( c2_1 @ X20 )
        | ( c3_1 @ X20 )
        | ~ ( c0_1 @ X20 ) )
   <= ! [X20: $i] :
        ( ( c2_1 @ X20 )
        | ( c3_1 @ X20 )
        | ~ ( c0_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl114,plain,
    ( ~ hskp17
    | ~ ( c2_1 @ a936 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl527,plain,
    ( ~ ( c2_1 @ a936 )
   <= ~ ( c2_1 @ a936 ) ),
    inference(split,[status(esa)],[zip_derived_cl114]) ).

thf(zip_derived_cl800,plain,
    ( ( ~ ( c0_1 @ a936 )
      | ( c3_1 @ a936 ) )
   <= ( ~ ( c2_1 @ a936 )
      & ! [X20: $i] :
          ( ( c2_1 @ X20 )
          | ( c3_1 @ X20 )
          | ~ ( c0_1 @ X20 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl252,zip_derived_cl527]) ).

thf('29',plain,
    ( ( c2_1 @ a936 )
    | ~ ( c0_1 @ a936 )
    | ~ ! [X20: $i] :
          ( ( c2_1 @ X20 )
          | ( c3_1 @ X20 )
          | ~ ( c0_1 @ X20 ) )
    | ( c3_1 @ a936 ) ),
    inference(split,[status(esa)],[zip_derived_cl800]) ).

thf(zip_derived_cl46,plain,
    ! [X61: $i] :
      ( ( c0_1 @ X61 )
      | ( c2_1 @ X61 )
      | ( c3_1 @ X61 )
      | ~ ndr1_0
      | hskp27
      | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl363,plain,
    ( ! [X61: $i] :
        ( ( c0_1 @ X61 )
        | ( c2_1 @ X61 )
        | ( c3_1 @ X61 ) )
   <= ! [X61: $i] :
        ( ( c0_1 @ X61 )
        | ( c2_1 @ X61 )
        | ( c3_1 @ X61 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl527_016,plain,
    ( ~ ( c2_1 @ a936 )
   <= ~ ( c2_1 @ a936 ) ),
    inference(split,[status(esa)],[zip_derived_cl114]) ).

thf(zip_derived_cl1712,plain,
    ( ( ( c3_1 @ a936 )
      | ( c0_1 @ a936 ) )
   <= ( ~ ( c2_1 @ a936 )
      & ! [X61: $i] :
          ( ( c0_1 @ X61 )
          | ( c2_1 @ X61 )
          | ( c3_1 @ X61 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl363,zip_derived_cl527]) ).

thf('30',plain,
    ( ~ ! [X61: $i] :
          ( ( c0_1 @ X61 )
          | ( c2_1 @ X61 )
          | ( c3_1 @ X61 ) )
    | ( c0_1 @ a936 )
    | ( c3_1 @ a936 )
    | ( c2_1 @ a936 ) ),
    inference(split,[status(esa)],[zip_derived_cl1712]) ).

thf(zip_derived_cl44,plain,
    ! [X58: $i,X59: $i] :
      ( ( c0_1 @ X58 )
      | ( c3_1 @ X58 )
      | ~ ( c2_1 @ X58 )
      | ~ ndr1_0
      | ( c0_1 @ X59 )
      | ~ ( c2_1 @ X59 )
      | ~ ( c3_1 @ X59 )
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('31',plain,
    ( hskp5
    | ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c2_1 @ X47 )
        | ~ ( c3_1 @ X47 ) )
    | ~ ndr1_0
    | ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ( c3_1 @ X56 )
        | ~ ( c2_1 @ X56 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl44]) ).

thf(zip_derived_cl615_017,plain,
    ( ( c1_1 @ a907 )
   <= ( c1_1 @ a907 ) ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl213_018,plain,
    ( ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c3_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c3_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl1368,plain,
    ( ( ( c2_1 @ a907 )
      | ~ ( c3_1 @ a907 ) )
   <= ( ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
      & ( c1_1 @ a907 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl615,zip_derived_cl213]) ).

thf('32',plain,
    ( ~ ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
    | ~ ( c3_1 @ a907 )
    | ~ ( c1_1 @ a907 )
    | ( c2_1 @ a907 ) ),
    inference(split,[status(esa)],[zip_derived_cl1368]) ).

thf(zip_derived_cl165,plain,
    ( ~ hskp4
    | ( c3_1 @ a905 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('33',plain,
    ( ( c3_1 @ a905 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl165]) ).

thf(zip_derived_cl166,plain,
    ( ~ hskp4
    | ~ ( c0_1 @ a905 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('34',plain,
    ( ~ ( c0_1 @ a905 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl166]) ).

thf(zip_derived_cl167,plain,
    ( ~ hskp4
    | ~ ( c2_1 @ a905 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('35',plain,
    ( ~ ( c2_1 @ a905 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl167]) ).

thf(zip_derived_cl101,plain,
    ( ~ hskp20
    | ( c0_1 @ a939 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('36',plain,
    ( ( c0_1 @ a939 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf(zip_derived_cl103,plain,
    ( ~ hskp20
    | ~ ( c3_1 @ a939 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('37',plain,
    ( ~ ( c3_1 @ a939 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl103]) ).

thf(zip_derived_cl252_019,plain,
    ( ! [X20: $i] :
        ( ( c2_1 @ X20 )
        | ( c3_1 @ X20 )
        | ~ ( c0_1 @ X20 ) )
   <= ! [X20: $i] :
        ( ( c2_1 @ X20 )
        | ( c3_1 @ X20 )
        | ~ ( c0_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl6,plain,
    ! [X3: $i] :
      ( ( c3_1 @ X3 )
      | ~ ( c0_1 @ X3 )
      | ~ ( c2_1 @ X3 )
      | ~ ndr1_0
      | hskp30
      | hskp17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl205,plain,
    ( ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c0_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c0_1 @ X3 )
        | ~ ( c2_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl792,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ( c3_1 @ X0 )
        | ( c3_1 @ X0 )
        | ~ ( c0_1 @ X0 ) )
   <= ( ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c0_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ! [X20: $i] :
          ( ( c2_1 @ X20 )
          | ( c3_1 @ X20 )
          | ~ ( c0_1 @ X20 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl252,zip_derived_cl205]) ).

thf(zip_derived_cl816,plain,
    ( ! [X0: $i] :
        ( ( c3_1 @ X0 )
        | ~ ( c0_1 @ X0 ) )
   <= ( ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c0_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ! [X20: $i] :
          ( ( c2_1 @ X20 )
          | ( c3_1 @ X20 )
          | ~ ( c0_1 @ X20 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl792]) ).

thf(zip_derived_cl505,plain,
    ( ~ ( c3_1 @ a939 )
   <= ~ ( c3_1 @ a939 ) ),
    inference(split,[status(esa)],[zip_derived_cl103]) ).

thf(zip_derived_cl2058,plain,
    ( ~ ( c0_1 @ a939 )
   <= ( ~ ( c3_1 @ a939 )
      & ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c0_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ! [X20: $i] :
          ( ( c2_1 @ X20 )
          | ( c3_1 @ X20 )
          | ~ ( c0_1 @ X20 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl816,zip_derived_cl505]) ).

thf(zip_derived_cl501,plain,
    ( ( c0_1 @ a939 )
   <= ( c0_1 @ a939 ) ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf('38',plain,
    ( ~ ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c0_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
    | ~ ( c0_1 @ a939 )
    | ~ ! [X20: $i] :
          ( ( c2_1 @ X20 )
          | ( c3_1 @ X20 )
          | ~ ( c0_1 @ X20 ) )
    | ( c3_1 @ a939 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2058,zip_derived_cl501]) ).

thf('39',plain,
    ( ! [X76: $i] :
        ( ( c0_1 @ X76 )
        | ( c1_1 @ X76 )
        | ( c2_1 @ X76 ) )
    | ! [X88: $i] :
        ( ( c0_1 @ X88 )
        | ( c2_1 @ X88 )
        | ~ ( c3_1 @ X88 ) )
    | ~ ndr1_0
    | ! [X17: $i] :
        ( ~ ( c0_1 @ X17 )
        | ~ ( c1_1 @ X17 )
        | ~ ( c3_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl125,plain,
    ( ~ hskp14
    | ( c3_1 @ a923 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('40',plain,
    ( ( c3_1 @ a923 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl125]) ).

thf(zip_derived_cl126,plain,
    ( ~ hskp14
    | ~ ( c0_1 @ a923 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('41',plain,
    ( ~ hskp14
    | ~ ( c0_1 @ a923 ) ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl127,plain,
    ( ~ hskp14
    | ~ ( c1_1 @ a923 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('42',plain,
    ( ~ hskp14
    | ~ ( c1_1 @ a923 ) ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl375,plain,
    ( ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ( c1_1 @ X66 )
        | ~ ( c3_1 @ X66 ) )
   <= ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ( c1_1 @ X66 )
        | ~ ( c3_1 @ X66 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl553,plain,
    ( ~ ( c1_1 @ a923 )
   <= ~ ( c1_1 @ a923 ) ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl1661,plain,
    ( ( ~ ( c3_1 @ a923 )
      | ( c0_1 @ a923 ) )
   <= ( ~ ( c1_1 @ a923 )
      & ! [X66: $i] :
          ( ( c0_1 @ X66 )
          | ( c1_1 @ X66 )
          | ~ ( c3_1 @ X66 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl375,zip_derived_cl553]) ).

thf('43',plain,
    ( ( c0_1 @ a923 )
    | ~ ! [X66: $i] :
          ( ( c0_1 @ X66 )
          | ( c1_1 @ X66 )
          | ~ ( c3_1 @ X66 ) )
    | ( c1_1 @ a923 )
    | ~ ( c3_1 @ a923 ) ),
    inference(split,[status(esa)],[zip_derived_cl1661]) ).

thf(zip_derived_cl395_020,plain,
    ( ! [X76: $i] :
        ( ( c0_1 @ X76 )
        | ( c1_1 @ X76 )
        | ( c2_1 @ X76 ) )
   <= ! [X76: $i] :
        ( ( c0_1 @ X76 )
        | ( c1_1 @ X76 )
        | ( c2_1 @ X76 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf(zip_derived_cl113,plain,
    ( ~ hskp17
    | ~ ( c1_1 @ a936 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl525,plain,
    ( ~ ( c1_1 @ a936 )
   <= ~ ( c1_1 @ a936 ) ),
    inference(split,[status(esa)],[zip_derived_cl113]) ).

thf(zip_derived_cl1942,plain,
    ( ( ( c2_1 @ a936 )
      | ( c0_1 @ a936 ) )
   <= ( ~ ( c1_1 @ a936 )
      & ! [X76: $i] :
          ( ( c0_1 @ X76 )
          | ( c1_1 @ X76 )
          | ( c2_1 @ X76 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl395,zip_derived_cl525]) ).

thf('44',plain,
    ( ( c0_1 @ a936 )
    | ( c2_1 @ a936 )
    | ~ ! [X76: $i] :
          ( ( c0_1 @ X76 )
          | ( c1_1 @ X76 )
          | ( c2_1 @ X76 ) )
    | ( c1_1 @ a936 ) ),
    inference(split,[status(esa)],[zip_derived_cl1942]) ).

thf(zip_derived_cl50,plain,
    ! [X67: $i,X68: $i] :
      ( ( c0_1 @ X67 )
      | ( c1_1 @ X67 )
      | ~ ( c3_1 @ X67 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X68 )
      | ~ ( c2_1 @ X68 )
      | ~ ( c3_1 @ X68 )
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('45',plain,
    ( hskp5
    | ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ( c1_1 @ X66 )
        | ~ ( c3_1 @ X66 ) )
    | ~ ndr1_0
    | ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl375_021,plain,
    ( ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ( c1_1 @ X66 )
        | ~ ( c3_1 @ X66 ) )
   <= ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ( c1_1 @ X66 )
        | ~ ( c3_1 @ X66 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl525_022,plain,
    ( ~ ( c1_1 @ a936 )
   <= ~ ( c1_1 @ a936 ) ),
    inference(split,[status(esa)],[zip_derived_cl113]) ).

thf(zip_derived_cl1663,plain,
    ( ( ~ ( c3_1 @ a936 )
      | ( c0_1 @ a936 ) )
   <= ( ~ ( c1_1 @ a936 )
      & ! [X66: $i] :
          ( ( c0_1 @ X66 )
          | ( c1_1 @ X66 )
          | ~ ( c3_1 @ X66 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl375,zip_derived_cl525]) ).

thf(zip_derived_cl3164,plain,
    ( ( c0_1 @ a936 )
   <= ( c0_1 @ a936 ) ),
    inference(split,[status(esa)],[zip_derived_cl1663]) ).

thf(zip_derived_cl816_023,plain,
    ( ! [X0: $i] :
        ( ( c3_1 @ X0 )
        | ~ ( c0_1 @ X0 ) )
   <= ( ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c0_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ! [X20: $i] :
          ( ( c2_1 @ X20 )
          | ( c3_1 @ X20 )
          | ~ ( c0_1 @ X20 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl792]) ).

thf(zip_derived_cl115,plain,
    ( ~ hskp17
    | ~ ( c3_1 @ a936 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl529,plain,
    ( ~ ( c3_1 @ a936 )
   <= ~ ( c3_1 @ a936 ) ),
    inference(split,[status(esa)],[zip_derived_cl115]) ).

thf(zip_derived_cl2055,plain,
    ( ~ ( c0_1 @ a936 )
   <= ( ~ ( c3_1 @ a936 )
      & ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c0_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ! [X20: $i] :
          ( ( c2_1 @ X20 )
          | ( c3_1 @ X20 )
          | ~ ( c0_1 @ X20 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl816,zip_derived_cl529]) ).

thf('46',plain,
    ( ~ ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c0_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
    | ~ ( c0_1 @ a936 )
    | ~ ! [X20: $i] :
          ( ( c2_1 @ X20 )
          | ( c3_1 @ X20 )
          | ~ ( c0_1 @ X20 ) )
    | ( c3_1 @ a936 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3164,zip_derived_cl2055]) ).

thf(zip_derived_cl53,plain,
    ! [X73: $i,X74: $i,X75: $i] :
      ( ( c0_1 @ X73 )
      | ( c1_1 @ X73 )
      | ( c3_1 @ X73 )
      | ~ ndr1_0
      | ( c0_1 @ X74 )
      | ( c2_1 @ X74 )
      | ( c3_1 @ X74 )
      | ~ ndr1_0
      | ( c2_1 @ X75 )
      | ( c3_1 @ X75 )
      | ~ ( c0_1 @ X75 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('47',plain,
    ( ! [X20: $i] :
        ( ( c2_1 @ X20 )
        | ( c3_1 @ X20 )
        | ~ ( c0_1 @ X20 ) )
    | ! [X70: $i] :
        ( ( c0_1 @ X70 )
        | ( c1_1 @ X70 )
        | ( c3_1 @ X70 ) )
    | ~ ndr1_0
    | ! [X61: $i] :
        ( ( c0_1 @ X61 )
        | ( c2_1 @ X61 )
        | ( c3_1 @ X61 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(zip_derived_cl16,plain,
    ! [X15: $i,X16: $i,X17: $i] :
      ( ( c2_1 @ X15 )
      | ( c3_1 @ X15 )
      | ~ ( c1_1 @ X15 )
      | ~ ndr1_0
      | ( c3_1 @ X16 )
      | ~ ( c0_1 @ X16 )
      | ~ ( c2_1 @ X16 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X17 )
      | ~ ( c1_1 @ X17 )
      | ~ ( c3_1 @ X17 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('48',plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c1_1 @ X12 ) )
    | ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c0_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
    | ~ ndr1_0
    | ! [X17: $i] :
        ( ~ ( c0_1 @ X17 )
        | ~ ( c1_1 @ X17 )
        | ~ ( c3_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl363_024,plain,
    ( ! [X61: $i] :
        ( ( c0_1 @ X61 )
        | ( c2_1 @ X61 )
        | ( c3_1 @ X61 ) )
   <= ! [X61: $i] :
        ( ( c0_1 @ X61 )
        | ( c2_1 @ X61 )
        | ( c3_1 @ X61 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl521_025,plain,
    ( ~ ( c2_1 @ a937 )
   <= ~ ( c2_1 @ a937 ) ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl1713,plain,
    ( ( ( c3_1 @ a937 )
      | ( c0_1 @ a937 ) )
   <= ( ~ ( c2_1 @ a937 )
      & ! [X61: $i] :
          ( ( c0_1 @ X61 )
          | ( c2_1 @ X61 )
          | ( c3_1 @ X61 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl363,zip_derived_cl521]) ).

thf('49',plain,
    ( ( c3_1 @ a937 )
    | ( c0_1 @ a937 )
    | ~ ! [X61: $i] :
          ( ( c0_1 @ X61 )
          | ( c2_1 @ X61 )
          | ( c3_1 @ X61 ) )
    | ( c2_1 @ a937 ) ),
    inference(split,[status(esa)],[zip_derived_cl1713]) ).

thf(zip_derived_cl109,plain,
    ( ~ hskp18
    | ( c1_1 @ a937 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl517,plain,
    ( ( c1_1 @ a937 )
   <= ( c1_1 @ a937 ) ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf(zip_derived_cl237_026,plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c1_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c1_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl1244,plain,
    ( ( ( c2_1 @ a937 )
      | ( c3_1 @ a937 ) )
   <= ( ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c3_1 @ X12 )
          | ~ ( c1_1 @ X12 ) )
      & ( c1_1 @ a937 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl517,zip_derived_cl237]) ).

thf('50',plain,
    ( ( c3_1 @ a937 )
    | ( c2_1 @ a937 )
    | ~ ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c3_1 @ X12 )
          | ~ ( c1_1 @ X12 ) )
    | ~ ( c1_1 @ a937 ) ),
    inference(split,[status(esa)],[zip_derived_cl1244]) ).

thf(zip_derived_cl389_027,plain,
    ( ! [X70: $i] :
        ( ( c0_1 @ X70 )
        | ( c1_1 @ X70 )
        | ( c3_1 @ X70 ) )
   <= ! [X70: $i] :
        ( ( c0_1 @ X70 )
        | ( c1_1 @ X70 )
        | ( c3_1 @ X70 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl123,plain,
    ( ~ hskp15
    | ~ ( c1_1 @ a924 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl545,plain,
    ( ~ ( c1_1 @ a924 )
   <= ~ ( c1_1 @ a924 ) ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl1883,plain,
    ( ( ( c3_1 @ a924 )
      | ( c0_1 @ a924 ) )
   <= ( ~ ( c1_1 @ a924 )
      & ! [X70: $i] :
          ( ( c0_1 @ X70 )
          | ( c1_1 @ X70 )
          | ( c3_1 @ X70 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl389,zip_derived_cl545]) ).

thf('51',plain,
    ( ~ ! [X70: $i] :
          ( ( c0_1 @ X70 )
          | ( c1_1 @ X70 )
          | ( c3_1 @ X70 ) )
    | ( c3_1 @ a924 )
    | ( c1_1 @ a924 )
    | ( c0_1 @ a924 ) ),
    inference(split,[status(esa)],[zip_derived_cl1883]) ).

thf(zip_derived_cl517_028,plain,
    ( ( c1_1 @ a937 )
   <= ( c1_1 @ a937 ) ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf(zip_derived_cl213_029,plain,
    ( ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c3_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c3_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl1242,plain,
    ( ( ( c2_1 @ a937 )
      | ~ ( c3_1 @ a937 ) )
   <= ( ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
      & ( c1_1 @ a937 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl517,zip_derived_cl213]) ).

thf('52',plain,
    ( ~ ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
    | ~ ( c1_1 @ a937 )
    | ~ ( c3_1 @ a937 )
    | ( c2_1 @ a937 ) ),
    inference(split,[status(esa)],[zip_derived_cl1242]) ).

thf('53',plain,
    ( ( c1_1 @ a937 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf(zip_derived_cl110,plain,
    ( ~ hskp18
    | ~ ( c0_1 @ a937 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('54',plain,
    ( ~ hskp18
    | ~ ( c0_1 @ a937 ) ),
    inference(split,[status(esa)],[zip_derived_cl110]) ).

thf('55',plain,
    ( ~ hskp18
    | ~ ( c2_1 @ a937 ) ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf('56',plain,
    ( ~ ( c1_1 @ a924 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl31,plain,
    ! [X40: $i] :
      ( ( c1_1 @ X40 )
      | ( c2_1 @ X40 )
      | ~ ( c0_1 @ X40 )
      | ~ ndr1_0
      | hskp12
      | hskp17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('57',plain,
    ( ! [X39: $i] :
        ( ( c1_1 @ X39 )
        | ( c2_1 @ X39 )
        | ~ ( c0_1 @ X39 ) )
    | hskp12
    | hskp17
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl31]) ).

thf(zip_derived_cl30,plain,
    ! [X39: $i] :
      ( ( c1_1 @ X39 )
      | ( c2_1 @ X39 )
      | ~ ( c0_1 @ X39 )
      | ~ ndr1_0
      | hskp18
      | hskp19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('58',plain,
    ( ! [X39: $i] :
        ( ( c1_1 @ X39 )
        | ( c2_1 @ X39 )
        | ~ ( c0_1 @ X39 ) )
    | hskp18
    | ~ ndr1_0
    | hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl299,plain,
    ( ! [X39: $i] :
        ( ( c1_1 @ X39 )
        | ( c2_1 @ X39 )
        | ~ ( c0_1 @ X39 ) )
   <= ! [X39: $i] :
        ( ( c1_1 @ X39 )
        | ( c2_1 @ X39 )
        | ~ ( c0_1 @ X39 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl213_030,plain,
    ( ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c3_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c3_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl1175,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ( c2_1 @ X0 )
        | ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
      & ! [X39: $i] :
          ( ( c1_1 @ X39 )
          | ( c2_1 @ X39 )
          | ~ ( c0_1 @ X39 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl299,zip_derived_cl213]) ).

thf(zip_derived_cl1202,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 ) )
   <= ( ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
      & ! [X39: $i] :
          ( ( c1_1 @ X39 )
          | ( c2_1 @ X39 )
          | ~ ( c0_1 @ X39 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1175]) ).

thf(zip_derived_cl577_031,plain,
    ( ~ ( c2_1 @ a914 )
   <= ~ ( c2_1 @ a914 ) ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf(zip_derived_cl4700,plain,
    ( ( ~ ( c0_1 @ a914 )
      | ~ ( c3_1 @ a914 ) )
   <= ( ~ ( c2_1 @ a914 )
      & ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
      & ! [X39: $i] :
          ( ( c1_1 @ X39 )
          | ( c2_1 @ X39 )
          | ~ ( c0_1 @ X39 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1202,zip_derived_cl577]) ).

thf('59',plain,
    ( ~ ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
    | ~ ( c0_1 @ a914 )
    | ~ ! [X39: $i] :
          ( ( c1_1 @ X39 )
          | ( c2_1 @ X39 )
          | ~ ( c0_1 @ X39 ) )
    | ~ ( c3_1 @ a914 )
    | ( c2_1 @ a914 ) ),
    inference(split,[status(esa)],[zip_derived_cl4700]) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i] :
      ( ~ ( c1_1 @ X0 )
      | ~ ( c2_1 @ X0 )
      | ~ ( c3_1 @ X0 )
      | ~ ndr1_0
      | hskp11
      | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('60',plain,
    ( hskp11
    | hskp12
    | ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl170,plain,
    ( ~ hskp3
    | ~ ( c1_1 @ a904 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('61',plain,
    ( ~ hskp3
    | ~ ( c1_1 @ a904 ) ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl149,plain,
    ( ~ hskp8
    | ( c1_1 @ a909 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl597,plain,
    ( ( c1_1 @ a909 )
   <= ( c1_1 @ a909 ) ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl39,plain,
    ! [X51: $i] :
      ( ( c0_1 @ X51 )
      | ~ ( c1_1 @ X51 )
      | ~ ( c2_1 @ X51 )
      | ~ ndr1_0
      | hskp7
      | hskp14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl335,plain,
    ( ! [X51: $i] :
        ( ( c0_1 @ X51 )
        | ~ ( c1_1 @ X51 )
        | ~ ( c2_1 @ X51 ) )
   <= ! [X51: $i] :
        ( ( c0_1 @ X51 )
        | ~ ( c1_1 @ X51 )
        | ~ ( c2_1 @ X51 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl1436,plain,
    ( ( ( c0_1 @ a909 )
      | ~ ( c2_1 @ a909 ) )
   <= ( ! [X51: $i] :
          ( ( c0_1 @ X51 )
          | ~ ( c1_1 @ X51 )
          | ~ ( c2_1 @ X51 ) )
      & ( c1_1 @ a909 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl597,zip_derived_cl335]) ).

thf('62',plain,
    ( ( c0_1 @ a909 )
    | ~ ( c1_1 @ a909 )
    | ~ ! [X51: $i] :
          ( ( c0_1 @ X51 )
          | ~ ( c1_1 @ X51 )
          | ~ ( c2_1 @ X51 ) )
    | ~ ( c2_1 @ a909 ) ),
    inference(split,[status(esa)],[zip_derived_cl1436]) ).

thf(zip_derived_cl597_032,plain,
    ( ( c1_1 @ a909 )
   <= ( c1_1 @ a909 ) ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl237_033,plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c1_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c1_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl1308,plain,
    ( ( ( c2_1 @ a909 )
      | ( c3_1 @ a909 ) )
   <= ( ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c3_1 @ X12 )
          | ~ ( c1_1 @ X12 ) )
      & ( c1_1 @ a909 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl597,zip_derived_cl237]) ).

thf('63',plain,
    ( ( c2_1 @ a909 )
    | ~ ( c1_1 @ a909 )
    | ~ ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c3_1 @ X12 )
          | ~ ( c1_1 @ X12 ) )
    | ( c3_1 @ a909 ) ),
    inference(split,[status(esa)],[zip_derived_cl1308]) ).

thf('64',plain,
    ( ( c1_1 @ a909 )
    | ~ hskp8 ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl150,plain,
    ( ~ hskp8
    | ~ ( c0_1 @ a909 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('65',plain,
    ( ~ hskp8
    | ~ ( c0_1 @ a909 ) ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf(zip_derived_cl151,plain,
    ( ~ hskp8
    | ~ ( c3_1 @ a909 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('66',plain,
    ( ~ hskp8
    | ~ ( c3_1 @ a909 ) ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf(zip_derived_cl48,plain,
    ! [X64: $i,X65: $i] :
      ( ( c0_1 @ X64 )
      | ( c2_1 @ X64 )
      | ( c3_1 @ X64 )
      | ~ ndr1_0
      | ( c0_1 @ X65 )
      | ~ ( c1_1 @ X65 )
      | ~ ( c3_1 @ X65 )
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('67',plain,
    ( ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ~ ( c1_1 @ X65 )
        | ~ ( c3_1 @ X65 ) )
    | hskp8
    | ! [X61: $i] :
        ( ( c0_1 @ X61 )
        | ( c2_1 @ X61 )
        | ( c3_1 @ X61 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl89,plain,
    ( ~ hskp23
    | ( c1_1 @ a954 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl477,plain,
    ( ( c1_1 @ a954 )
   <= ( c1_1 @ a954 ) ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf(zip_derived_cl371,plain,
    ( ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ~ ( c1_1 @ X65 )
        | ~ ( c3_1 @ X65 ) )
   <= ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ~ ( c1_1 @ X65 )
        | ~ ( c3_1 @ X65 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl1546,plain,
    ( ( ( c0_1 @ a954 )
      | ~ ( c3_1 @ a954 ) )
   <= ( ! [X65: $i] :
          ( ( c0_1 @ X65 )
          | ~ ( c1_1 @ X65 )
          | ~ ( c3_1 @ X65 ) )
      & ( c1_1 @ a954 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl477,zip_derived_cl371]) ).

thf('68',plain,
    ( ( c0_1 @ a954 )
    | ~ ( c1_1 @ a954 )
    | ~ ! [X65: $i] :
          ( ( c0_1 @ X65 )
          | ~ ( c1_1 @ X65 )
          | ~ ( c3_1 @ X65 ) )
    | ~ ( c3_1 @ a954 ) ),
    inference(split,[status(esa)],[zip_derived_cl1546]) ).

thf(zip_derived_cl32,plain,
    ! [X41: $i,X42: $i] :
      ( ( c1_1 @ X41 )
      | ( c2_1 @ X41 )
      | ~ ( c0_1 @ X41 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X42 )
      | ~ ( c1_1 @ X42 )
      | ~ ( c3_1 @ X42 )
      | ~ ndr1_0
      | hskp15 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('69',plain,
    ( hskp15
    | ! [X39: $i] :
        ( ( c1_1 @ X39 )
        | ( c2_1 @ X39 )
        | ~ ( c0_1 @ X39 ) )
    | ! [X17: $i] :
        ( ~ ( c0_1 @ X17 )
        | ~ ( c1_1 @ X17 )
        | ~ ( c3_1 @ X17 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl73,plain,
    ( ~ hskp27
    | ( c1_1 @ a900 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl445,plain,
    ( ( c1_1 @ a900 )
   <= ( c1_1 @ a900 ) ),
    inference(split,[status(esa)],[zip_derived_cl73]) ).

thf(zip_derived_cl246,plain,
    ( ! [X17: $i] :
        ( ~ ( c0_1 @ X17 )
        | ~ ( c1_1 @ X17 )
        | ~ ( c3_1 @ X17 ) )
   <= ! [X17: $i] :
        ( ~ ( c0_1 @ X17 )
        | ~ ( c1_1 @ X17 )
        | ~ ( c3_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl1122,plain,
    ( ( ~ ( c0_1 @ a900 )
      | ~ ( c3_1 @ a900 ) )
   <= ( ! [X17: $i] :
          ( ~ ( c0_1 @ X17 )
          | ~ ( c1_1 @ X17 )
          | ~ ( c3_1 @ X17 ) )
      & ( c1_1 @ a900 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl445,zip_derived_cl246]) ).

thf('70',plain,
    ( ~ ! [X17: $i] :
          ( ~ ( c0_1 @ X17 )
          | ~ ( c1_1 @ X17 )
          | ~ ( c3_1 @ X17 ) )
    | ~ ( c0_1 @ a900 )
    | ~ ( c1_1 @ a900 )
    | ~ ( c3_1 @ a900 ) ),
    inference(split,[status(esa)],[zip_derived_cl1122]) ).

thf(zip_derived_cl74,plain,
    ( ~ hskp27
    | ( c2_1 @ a900 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl447,plain,
    ( ( c2_1 @ a900 )
   <= ( c2_1 @ a900 ) ),
    inference(split,[status(esa)],[zip_derived_cl74]) ).

thf(zip_derived_cl197_034,plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf(zip_derived_cl1161,plain,
    ( ( ~ ( c0_1 @ a900 )
      | ~ ( c3_1 @ a900 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ( c2_1 @ a900 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl447,zip_derived_cl197]) ).

thf('71',plain,
    ( ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c0_1 @ a900 )
    | ~ ( c3_1 @ a900 )
    | ~ ( c2_1 @ a900 ) ),
    inference(split,[status(esa)],[zip_derived_cl1161]) ).

thf(zip_derived_cl447_035,plain,
    ( ( c2_1 @ a900 )
   <= ( c2_1 @ a900 ) ),
    inference(split,[status(esa)],[zip_derived_cl74]) ).

thf(zip_derived_cl323,plain,
    ( ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c2_1 @ X47 )
        | ~ ( c3_1 @ X47 ) )
   <= ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c2_1 @ X47 )
        | ~ ( c3_1 @ X47 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl1406,plain,
    ( ( ( c0_1 @ a900 )
      | ~ ( c3_1 @ a900 ) )
   <= ( ! [X47: $i] :
          ( ( c0_1 @ X47 )
          | ~ ( c2_1 @ X47 )
          | ~ ( c3_1 @ X47 ) )
      & ( c2_1 @ a900 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl447,zip_derived_cl323]) ).

thf('72',plain,
    ( ( c0_1 @ a900 )
    | ~ ( c2_1 @ a900 )
    | ~ ! [X47: $i] :
          ( ( c0_1 @ X47 )
          | ~ ( c2_1 @ X47 )
          | ~ ( c3_1 @ X47 ) )
    | ~ ( c3_1 @ a900 ) ),
    inference(split,[status(esa)],[zip_derived_cl1406]) ).

thf(zip_derived_cl0,plain,
    ( hskp12
    | hskp13
    | hskp21 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('73',plain,
    ( hskp13
    | hskp12
    | hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl0]) ).

thf(zip_derived_cl477_036,plain,
    ( ( c1_1 @ a954 )
   <= ( c1_1 @ a954 ) ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf(zip_derived_cl213_037,plain,
    ( ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c3_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c3_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl1217,plain,
    ( ( ( c2_1 @ a954 )
      | ~ ( c3_1 @ a954 ) )
   <= ( ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
      & ( c1_1 @ a954 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl477,zip_derived_cl213]) ).

thf(zip_derived_cl4565,plain,
    ( ( c2_1 @ a954 )
   <= ( c2_1 @ a954 ) ),
    inference(split,[status(esa)],[zip_derived_cl1217]) ).

thf(zip_derived_cl323_038,plain,
    ( ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c2_1 @ X47 )
        | ~ ( c3_1 @ X47 ) )
   <= ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c2_1 @ X47 )
        | ~ ( c3_1 @ X47 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl4582,plain,
    ( ( ( c0_1 @ a954 )
      | ~ ( c3_1 @ a954 ) )
   <= ( ! [X47: $i] :
          ( ( c0_1 @ X47 )
          | ~ ( c2_1 @ X47 )
          | ~ ( c3_1 @ X47 ) )
      & ( c2_1 @ a954 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4565,zip_derived_cl323]) ).

thf('74',plain,
    ( ( c0_1 @ a954 )
    | ~ ( c2_1 @ a954 )
    | ~ ! [X47: $i] :
          ( ( c0_1 @ X47 )
          | ~ ( c2_1 @ X47 )
          | ~ ( c3_1 @ X47 ) )
    | ~ ( c3_1 @ a954 ) ),
    inference(split,[status(esa)],[zip_derived_cl4582]) ).

thf(zip_derived_cl91,plain,
    ( ~ hskp23
    | ~ ( c0_1 @ a954 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('75',plain,
    ( ~ hskp23
    | ~ ( c0_1 @ a954 ) ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl299_039,plain,
    ( ! [X39: $i] :
        ( ( c1_1 @ X39 )
        | ( c2_1 @ X39 )
        | ~ ( c0_1 @ X39 ) )
   <= ! [X39: $i] :
        ( ( c1_1 @ X39 )
        | ( c2_1 @ X39 )
        | ~ ( c0_1 @ X39 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl639,plain,
    ( ~ ( c1_1 @ a904 )
   <= ~ ( c1_1 @ a904 ) ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl1181,plain,
    ( ( ~ ( c0_1 @ a904 )
      | ( c2_1 @ a904 ) )
   <= ( ~ ( c1_1 @ a904 )
      & ! [X39: $i] :
          ( ( c1_1 @ X39 )
          | ( c2_1 @ X39 )
          | ~ ( c0_1 @ X39 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl299,zip_derived_cl639]) ).

thf('76',plain,
    ( ( c1_1 @ a904 )
    | ( c2_1 @ a904 )
    | ~ ! [X39: $i] :
          ( ( c1_1 @ X39 )
          | ( c2_1 @ X39 )
          | ~ ( c0_1 @ X39 ) )
    | ~ ( c0_1 @ a904 ) ),
    inference(split,[status(esa)],[zip_derived_cl1181]) ).

thf('77',plain,
    ( hskp21
    | hskp10
    | ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c3_1 @ X5 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl25,plain,
    ! [X31: $i,X32: $i] :
      ( ( c1_1 @ X31 )
      | ~ ( c0_1 @ X31 )
      | ~ ( c2_1 @ X31 )
      | ~ ndr1_0
      | ( c2_1 @ X32 )
      | ~ ( c0_1 @ X32 )
      | ~ ( c1_1 @ X32 )
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('78',plain,
    ( hskp0
    | ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ~ ( c0_1 @ X31 )
        | ~ ( c2_1 @ X31 ) )
    | ~ ndr1_0
    | ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c1_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl70,plain,
    ( ~ hskp28
    | ( c1_1 @ a916 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl439,plain,
    ( ( c1_1 @ a916 )
   <= ( c1_1 @ a916 ) ),
    inference(split,[status(esa)],[zip_derived_cl70]) ).

thf(zip_derived_cl233_040,plain,
    ( ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c1_1 @ X11 ) )
   <= ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c1_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl1111,plain,
    ( ( ( c2_1 @ a916 )
      | ~ ( c0_1 @ a916 ) )
   <= ( ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c0_1 @ X11 )
          | ~ ( c1_1 @ X11 ) )
      & ( c1_1 @ a916 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl439,zip_derived_cl233]) ).

thf('79',plain,
    ( ( c2_1 @ a916 )
    | ~ ! [X11: $i] :
          ( ( c2_1 @ X11 )
          | ~ ( c0_1 @ X11 )
          | ~ ( c1_1 @ X11 ) )
    | ~ ( c1_1 @ a916 )
    | ~ ( c0_1 @ a916 ) ),
    inference(split,[status(esa)],[zip_derived_cl1111]) ).

thf(zip_derived_cl41,plain,
    ! [X53: $i,X54: $i,X55: $i] :
      ( ( c0_1 @ X53 )
      | ~ ( c1_1 @ X53 )
      | ~ ( c2_1 @ X53 )
      | ~ ndr1_0
      | ( c1_1 @ X54 )
      | ( c3_1 @ X54 )
      | ~ ( c2_1 @ X54 )
      | ~ ndr1_0
      | ( c2_1 @ X55 )
      | ~ ( c1_1 @ X55 )
      | ~ ( c3_1 @ X55 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl344,plain,
    ( ! [X54: $i] :
        ( ( c1_1 @ X54 )
        | ( c3_1 @ X54 )
        | ~ ( c2_1 @ X54 ) )
   <= ! [X54: $i] :
        ( ( c1_1 @ X54 )
        | ( c3_1 @ X54 )
        | ~ ( c2_1 @ X54 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl663_041,plain,
    ( ~ ( c1_1 @ a901 )
   <= ~ ( c1_1 @ a901 ) ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf(zip_derived_cl1492,plain,
    ( ( ~ ( c2_1 @ a901 )
      | ( c3_1 @ a901 ) )
   <= ( ~ ( c1_1 @ a901 )
      & ! [X54: $i] :
          ( ( c1_1 @ X54 )
          | ( c3_1 @ X54 )
          | ~ ( c2_1 @ X54 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl344,zip_derived_cl663]) ).

thf('80',plain,
    ( ~ ! [X54: $i] :
          ( ( c1_1 @ X54 )
          | ( c3_1 @ X54 )
          | ~ ( c2_1 @ X54 ) )
    | ~ ( c2_1 @ a901 )
    | ( c1_1 @ a901 )
    | ( c3_1 @ a901 ) ),
    inference(split,[status(esa)],[zip_derived_cl1492]) ).

thf('81',plain,
    ( ~ ( c1_1 @ a901 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf(zip_derived_cl183,plain,
    ( ~ hskp0
    | ~ ( c3_1 @ a901 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('82',plain,
    ( ~ ( c3_1 @ a901 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl183]) ).

thf(zip_derived_cl34,plain,
    ! [X45: $i] :
      ( ( c1_1 @ X45 )
      | ( c2_1 @ X45 )
      | ( c3_1 @ X45 )
      | ~ ndr1_0
      | hskp27
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl315,plain,
    ( ! [X45: $i] :
        ( ( c1_1 @ X45 )
        | ( c2_1 @ X45 )
        | ( c3_1 @ X45 ) )
   <= ! [X45: $i] :
        ( ( c1_1 @ X45 )
        | ( c2_1 @ X45 )
        | ( c3_1 @ X45 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl663_042,plain,
    ( ~ ( c1_1 @ a901 )
   <= ~ ( c1_1 @ a901 ) ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf(zip_derived_cl1332,plain,
    ( ( ( c3_1 @ a901 )
      | ( c2_1 @ a901 ) )
   <= ( ~ ( c1_1 @ a901 )
      & ! [X45: $i] :
          ( ( c1_1 @ X45 )
          | ( c2_1 @ X45 )
          | ( c3_1 @ X45 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl315,zip_derived_cl663]) ).

thf('83',plain,
    ( ( c2_1 @ a901 )
    | ~ ! [X45: $i] :
          ( ( c1_1 @ X45 )
          | ( c2_1 @ X45 )
          | ( c3_1 @ X45 ) )
    | ( c3_1 @ a901 )
    | ( c1_1 @ a901 ) ),
    inference(split,[status(esa)],[zip_derived_cl1332]) ).

thf(zip_derived_cl344_043,plain,
    ( ! [X54: $i] :
        ( ( c1_1 @ X54 )
        | ( c3_1 @ X54 )
        | ~ ( c2_1 @ X54 ) )
   <= ! [X54: $i] :
        ( ( c1_1 @ X54 )
        | ( c3_1 @ X54 )
        | ~ ( c2_1 @ X54 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl591_044,plain,
    ( ~ ( c1_1 @ a910 )
   <= ~ ( c1_1 @ a910 ) ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf(zip_derived_cl1495,plain,
    ( ( ~ ( c2_1 @ a910 )
      | ( c3_1 @ a910 ) )
   <= ( ~ ( c1_1 @ a910 )
      & ! [X54: $i] :
          ( ( c1_1 @ X54 )
          | ( c3_1 @ X54 )
          | ~ ( c2_1 @ X54 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl344,zip_derived_cl591]) ).

thf('84',plain,
    ( ~ ! [X54: $i] :
          ( ( c1_1 @ X54 )
          | ( c3_1 @ X54 )
          | ~ ( c2_1 @ X54 ) )
    | ( c1_1 @ a910 )
    | ( c3_1 @ a910 )
    | ~ ( c2_1 @ a910 ) ),
    inference(split,[status(esa)],[zip_derived_cl1495]) ).

thf('85',plain,
    ( ! [X51: $i] :
        ( ( c0_1 @ X51 )
        | ~ ( c1_1 @ X51 )
        | ~ ( c2_1 @ X51 ) )
    | ! [X54: $i] :
        ( ( c1_1 @ X54 )
        | ( c3_1 @ X54 )
        | ~ ( c2_1 @ X54 ) )
    | ~ ndr1_0
    | ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c3_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl42,plain,
    ! [X56: $i] :
      ( ( c0_1 @ X56 )
      | ( c3_1 @ X56 )
      | ~ ( c2_1 @ X56 )
      | ~ ndr1_0
      | hskp2
      | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('86',plain,
    ( hskp0
    | hskp2
    | ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ( c3_1 @ X56 )
        | ~ ( c2_1 @ X56 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl173,plain,
    ( ~ hskp2
    | ( c0_1 @ a903 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('87',plain,
    ( ~ hskp2
    | ( c0_1 @ a903 ) ),
    inference(split,[status(esa)],[zip_derived_cl173]) ).

thf(zip_derived_cl174,plain,
    ( ~ hskp2
    | ~ ( c2_1 @ a903 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('88',plain,
    ( ~ hskp2
    | ~ ( c2_1 @ a903 ) ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf(zip_derived_cl175,plain,
    ( ~ hskp2
    | ~ ( c3_1 @ a903 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('89',plain,
    ( ~ hskp2
    | ~ ( c3_1 @ a903 ) ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl252_045,plain,
    ( ! [X20: $i] :
        ( ( c2_1 @ X20 )
        | ( c3_1 @ X20 )
        | ~ ( c0_1 @ X20 ) )
   <= ! [X20: $i] :
        ( ( c2_1 @ X20 )
        | ( c3_1 @ X20 )
        | ~ ( c0_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl647,plain,
    ( ~ ( c2_1 @ a903 )
   <= ~ ( c2_1 @ a903 ) ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf(zip_derived_cl793,plain,
    ( ( ~ ( c0_1 @ a903 )
      | ( c3_1 @ a903 ) )
   <= ( ~ ( c2_1 @ a903 )
      & ! [X20: $i] :
          ( ( c2_1 @ X20 )
          | ( c3_1 @ X20 )
          | ~ ( c0_1 @ X20 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl252,zip_derived_cl647]) ).

thf('90',plain,
    ( ( c2_1 @ a903 )
    | ( c3_1 @ a903 )
    | ~ ! [X20: $i] :
          ( ( c2_1 @ X20 )
          | ( c3_1 @ X20 )
          | ~ ( c0_1 @ X20 ) )
    | ~ ( c0_1 @ a903 ) ),
    inference(split,[status(esa)],[zip_derived_cl793]) ).

thf(zip_derived_cl43,plain,
    ! [X57: $i] :
      ( ( c0_1 @ X57 )
      | ( c3_1 @ X57 )
      | ~ ( c2_1 @ X57 )
      | ~ ndr1_0
      | hskp28
      | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('91',plain,
    ( hskp28
    | hskp12
    | ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ( c3_1 @ X56 )
        | ~ ( c2_1 @ X56 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl439_046,plain,
    ( ( c1_1 @ a916 )
   <= ( c1_1 @ a916 ) ),
    inference(split,[status(esa)],[zip_derived_cl70]) ).

thf(zip_derived_cl213_047,plain,
    ( ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c3_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c3_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl1110,plain,
    ( ( ( c2_1 @ a916 )
      | ~ ( c3_1 @ a916 ) )
   <= ( ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
      & ( c1_1 @ a916 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl439,zip_derived_cl213]) ).

thf('92',plain,
    ( ( c2_1 @ a916 )
    | ~ ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
    | ~ ( c1_1 @ a916 )
    | ~ ( c3_1 @ a916 ) ),
    inference(split,[status(esa)],[zip_derived_cl1110]) ).

thf(zip_derived_cl97,plain,
    ( ~ hskp21
    | ~ ( c0_1 @ a946 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('93',plain,
    ( ~ ( c0_1 @ a946 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(zip_derived_cl21,plain,
    ! [X24: $i,X25: $i] :
      ( ( c2_1 @ X24 )
      | ( c3_1 @ X24 )
      | ~ ( c0_1 @ X24 )
      | ~ ndr1_0
      | ( c2_1 @ X25 )
      | ~ ( c1_1 @ X25 )
      | ~ ( c3_1 @ X25 )
      | ~ ndr1_0
      | hskp22 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('94',plain,
    ( ! [X20: $i] :
        ( ( c2_1 @ X20 )
        | ( c3_1 @ X20 )
        | ~ ( c0_1 @ X20 ) )
    | hskp22
    | ~ ndr1_0
    | ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c3_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl9,plain,
    ! [X6: $i] :
      ( ( c2_1 @ X6 )
      | ~ ( c1_1 @ X6 )
      | ~ ( c3_1 @ X6 )
      | ~ ndr1_0
      | hskp25
      | hskp21 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('95',plain,
    ( hskp21
    | hskp25
    | ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c3_1 @ X5 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl95,plain,
    ( ~ hskp22
    | ~ ( c1_1 @ a949 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('96',plain,
    ( ~ hskp22
    | ~ ( c1_1 @ a949 ) ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl268_048,plain,
    ( ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ~ ( c0_1 @ X26 )
        | ~ ( c3_1 @ X26 ) )
   <= ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ~ ( c0_1 @ X26 )
        | ~ ( c3_1 @ X26 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl489,plain,
    ( ~ ( c1_1 @ a949 )
   <= ~ ( c1_1 @ a949 ) ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl888,plain,
    ( ( ~ ( c3_1 @ a949 )
      | ~ ( c0_1 @ a949 ) )
   <= ( ~ ( c1_1 @ a949 )
      & ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ~ ( c0_1 @ X26 )
          | ~ ( c3_1 @ X26 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl268,zip_derived_cl489]) ).

thf('97',plain,
    ( ( c1_1 @ a949 )
    | ~ ( c0_1 @ a949 )
    | ~ ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ~ ( c0_1 @ X26 )
          | ~ ( c3_1 @ X26 ) )
    | ~ ( c3_1 @ a949 ) ),
    inference(split,[status(esa)],[zip_derived_cl888]) ).

thf(zip_derived_cl93,plain,
    ( ~ hskp22
    | ( c2_1 @ a949 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('98',plain,
    ( ( c2_1 @ a949 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf(zip_derived_cl94,plain,
    ( ~ hskp22
    | ( c3_1 @ a949 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('99',plain,
    ( ( c3_1 @ a949 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf(zip_derived_cl485,plain,
    ( ( c2_1 @ a949 )
   <= ( c2_1 @ a949 ) ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf(zip_derived_cl323_049,plain,
    ( ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c2_1 @ X47 )
        | ~ ( c3_1 @ X47 ) )
   <= ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c2_1 @ X47 )
        | ~ ( c3_1 @ X47 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl1405,plain,
    ( ( ( c0_1 @ a949 )
      | ~ ( c3_1 @ a949 ) )
   <= ( ! [X47: $i] :
          ( ( c0_1 @ X47 )
          | ~ ( c2_1 @ X47 )
          | ~ ( c3_1 @ X47 ) )
      & ( c2_1 @ a949 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl485,zip_derived_cl323]) ).

thf('100',plain,
    ( ( c0_1 @ a949 )
    | ~ ( c2_1 @ a949 )
    | ~ ! [X47: $i] :
          ( ( c0_1 @ X47 )
          | ~ ( c2_1 @ X47 )
          | ~ ( c3_1 @ X47 ) )
    | ~ ( c3_1 @ a949 ) ),
    inference(split,[status(esa)],[zip_derived_cl1405]) ).

thf(zip_derived_cl81,plain,
    ( ~ hskp25
    | ( c0_1 @ a960 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('101',plain,
    ( ( c0_1 @ a960 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf(zip_derived_cl82,plain,
    ( ~ hskp25
    | ( c3_1 @ a960 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('102',plain,
    ( ( c3_1 @ a960 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl83,plain,
    ( ~ hskp25
    | ~ ( c1_1 @ a960 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('103',plain,
    ( ~ hskp25
    | ~ ( c1_1 @ a960 ) ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl268_050,plain,
    ( ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ~ ( c0_1 @ X26 )
        | ~ ( c3_1 @ X26 ) )
   <= ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ~ ( c0_1 @ X26 )
        | ~ ( c3_1 @ X26 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl465,plain,
    ( ~ ( c1_1 @ a960 )
   <= ~ ( c1_1 @ a960 ) ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl890,plain,
    ( ( ~ ( c3_1 @ a960 )
      | ~ ( c0_1 @ a960 ) )
   <= ( ~ ( c1_1 @ a960 )
      & ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ~ ( c0_1 @ X26 )
          | ~ ( c3_1 @ X26 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl268,zip_derived_cl465]) ).

thf('104',plain,
    ( ( c1_1 @ a960 )
    | ~ ( c3_1 @ a960 )
    | ~ ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ~ ( c0_1 @ X26 )
          | ~ ( c3_1 @ X26 ) )
    | ~ ( c0_1 @ a960 ) ),
    inference(split,[status(esa)],[zip_derived_cl890]) ).

thf(zip_derived_cl439_051,plain,
    ( ( c1_1 @ a916 )
   <= ( c1_1 @ a916 ) ),
    inference(split,[status(esa)],[zip_derived_cl70]) ).

thf(zip_derived_cl193,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl1107,plain,
    ( ( ~ ( c2_1 @ a916 )
      | ~ ( c3_1 @ a916 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c1_1 @ a916 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl439,zip_derived_cl193]) ).

thf(zip_derived_cl1460,plain,
    ( ~ ( c2_1 @ a916 )
   <= ~ ( c2_1 @ a916 ) ),
    inference(split,[status(esa)],[zip_derived_cl1107]) ).

thf(zip_derived_cl221_052,plain,
    ( ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c3_1 @ X7 ) )
   <= ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c3_1 @ X7 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl1462,plain,
    ( ( ~ ( c0_1 @ a916 )
      | ~ ( c3_1 @ a916 ) )
   <= ( ~ ( c2_1 @ a916 )
      & ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c3_1 @ X7 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1460,zip_derived_cl221]) ).

thf('105',plain,
    ( ~ ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
    | ( c2_1 @ a916 )
    | ~ ( c0_1 @ a916 )
    | ~ ( c3_1 @ a916 ) ),
    inference(split,[status(esa)],[zip_derived_cl1462]) ).

thf('106',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c2_1 @ a916 )
    | ~ ( c1_1 @ a916 )
    | ~ ( c3_1 @ a916 ) ),
    inference(split,[status(esa)],[zip_derived_cl1107]) ).

thf(zip_derived_cl162,plain,
    ( ~ hskp5
    | ( c2_1 @ a906 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('107',plain,
    ( ( c2_1 @ a906 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf('108',plain,
    ( ~ ( c3_1 @ a906 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf(zip_derived_cl623,plain,
    ( ( c2_1 @ a906 )
   <= ( c2_1 @ a906 ) ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf(zip_derived_cl205_053,plain,
    ( ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c0_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c0_1 @ X3 )
        | ~ ( c2_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl1373,plain,
    ( ( ( c3_1 @ a906 )
      | ~ ( c0_1 @ a906 ) )
   <= ( ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c0_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ( c2_1 @ a906 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl623,zip_derived_cl205]) ).

thf('109',plain,
    ( ~ ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c0_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
    | ~ ( c2_1 @ a906 )
    | ( c3_1 @ a906 )
    | ~ ( c0_1 @ a906 ) ),
    inference(split,[status(esa)],[zip_derived_cl1373]) ).

thf('110',plain,
    ( hskp5
    | ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c3_1 @ X7 ) )
    | hskp7
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl1078_054,plain,
    ( ! [X0: $i] :
        ( ( c3_1 @ X0 )
        | ~ ( c0_1 @ X0 ) )
   <= ( ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 ) )
      & ! [X35: $i] :
          ( ( c1_1 @ X35 )
          | ( c3_1 @ X35 )
          | ~ ( c0_1 @ X35 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1050]) ).

thf(zip_derived_cl221_055,plain,
    ( ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c3_1 @ X7 ) )
   <= ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c3_1 @ X7 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl197_056,plain,
    ( ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf(zip_derived_cl695,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c3_1 @ X7 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl221,zip_derived_cl197]) ).

thf(zip_derived_cl697,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c3_1 @ X7 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl695]) ).

thf(zip_derived_cl2523,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c0_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 ) )
      & ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
      & ! [X35: $i] :
          ( ( c1_1 @ X35 )
          | ( c3_1 @ X35 )
          | ~ ( c0_1 @ X35 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1078,zip_derived_cl697]) ).

thf(zip_derived_cl2567,plain,
    ( ! [X0: $i] :
        ~ ( c0_1 @ X0 )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 ) )
      & ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
      & ! [X35: $i] :
          ( ( c1_1 @ X35 )
          | ( c3_1 @ X35 )
          | ~ ( c0_1 @ X35 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2523]) ).

thf(zip_derived_cl177,plain,
    ( ~ hskp1
    | ( c0_1 @ a902 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl653,plain,
    ( ( c0_1 @ a902 )
   <= ( c0_1 @ a902 ) ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf('111',plain,
    ( ~ ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
    | ~ ( c0_1 @ a902 )
    | ~ ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 ) )
    | ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ! [X35: $i] :
          ( ( c1_1 @ X35 )
          | ( c3_1 @ X35 )
          | ~ ( c0_1 @ X35 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2567,zip_derived_cl653]) ).

thf(zip_derived_cl141,plain,
    ( ~ hskp10
    | ( c1_1 @ a912 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('112',plain,
    ( ( c1_1 @ a912 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf(zip_derived_cl40,plain,
    ! [X52: $i] :
      ( ( c0_1 @ X52 )
      | ~ ( c1_1 @ X52 )
      | ~ ( c2_1 @ X52 )
      | ~ ndr1_0
      | hskp3
      | hskp13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('113',plain,
    ( ! [X51: $i] :
        ( ( c0_1 @ X51 )
        | ~ ( c1_1 @ X51 )
        | ~ ( c2_1 @ X51 ) )
    | hskp13
    | hskp3
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl171,plain,
    ( ~ hskp3
    | ~ ( c2_1 @ a904 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl641,plain,
    ( ~ ( c2_1 @ a904 )
   <= ~ ( c2_1 @ a904 ) ),
    inference(split,[status(esa)],[zip_derived_cl171]) ).

thf(zip_derived_cl221_057,plain,
    ( ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c3_1 @ X7 ) )
   <= ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c3_1 @ X7 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl771,plain,
    ( ( ~ ( c0_1 @ a904 )
      | ~ ( c3_1 @ a904 ) )
   <= ( ~ ( c2_1 @ a904 )
      & ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c3_1 @ X7 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl641,zip_derived_cl221]) ).

thf('114',plain,
    ( ~ ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
    | ~ ( c0_1 @ a904 )
    | ( c2_1 @ a904 )
    | ~ ( c3_1 @ a904 ) ),
    inference(split,[status(esa)],[zip_derived_cl771]) ).

thf(zip_derived_cl169,plain,
    ( ~ hskp3
    | ( c0_1 @ a904 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('115',plain,
    ( ( c0_1 @ a904 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl169]) ).

thf('116',plain,
    ( ~ hskp3
    | ~ ( c2_1 @ a904 ) ),
    inference(split,[status(esa)],[zip_derived_cl171]) ).

thf(zip_derived_cl252_058,plain,
    ( ! [X20: $i] :
        ( ( c2_1 @ X20 )
        | ( c3_1 @ X20 )
        | ~ ( c0_1 @ X20 ) )
   <= ! [X20: $i] :
        ( ( c2_1 @ X20 )
        | ( c3_1 @ X20 )
        | ~ ( c0_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl641_059,plain,
    ( ~ ( c2_1 @ a904 )
   <= ~ ( c2_1 @ a904 ) ),
    inference(split,[status(esa)],[zip_derived_cl171]) ).

thf(zip_derived_cl794,plain,
    ( ( ~ ( c0_1 @ a904 )
      | ( c3_1 @ a904 ) )
   <= ( ~ ( c2_1 @ a904 )
      & ! [X20: $i] :
          ( ( c2_1 @ X20 )
          | ( c3_1 @ X20 )
          | ~ ( c0_1 @ X20 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl252,zip_derived_cl641]) ).

thf('117',plain,
    ( ( c3_1 @ a904 )
    | ( c2_1 @ a904 )
    | ~ ! [X20: $i] :
          ( ( c2_1 @ X20 )
          | ( c3_1 @ X20 )
          | ~ ( c0_1 @ X20 ) )
    | ~ ( c0_1 @ a904 ) ),
    inference(split,[status(esa)],[zip_derived_cl794]) ).

thf(zip_derived_cl287_060,plain,
    ( ! [X35: $i] :
        ( ( c1_1 @ X35 )
        | ( c3_1 @ X35 )
        | ~ ( c0_1 @ X35 ) )
   <= ! [X35: $i] :
        ( ( c1_1 @ X35 )
        | ( c3_1 @ X35 )
        | ~ ( c0_1 @ X35 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl591_061,plain,
    ( ~ ( c1_1 @ a910 )
   <= ~ ( c1_1 @ a910 ) ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf(zip_derived_cl1058,plain,
    ( ( ~ ( c0_1 @ a910 )
      | ( c3_1 @ a910 ) )
   <= ( ~ ( c1_1 @ a910 )
      & ! [X35: $i] :
          ( ( c1_1 @ X35 )
          | ( c3_1 @ X35 )
          | ~ ( c0_1 @ X35 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl287,zip_derived_cl591]) ).

thf('118',plain,
    ( ~ ! [X35: $i] :
          ( ( c1_1 @ X35 )
          | ( c3_1 @ X35 )
          | ~ ( c0_1 @ X35 ) )
    | ~ ( c0_1 @ a910 )
    | ( c1_1 @ a910 )
    | ( c3_1 @ a910 ) ),
    inference(split,[status(esa)],[zip_derived_cl1058]) ).

thf(zip_derived_cl145,plain,
    ( ~ hskp9
    | ( c2_1 @ a910 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('119',plain,
    ( ( c2_1 @ a910 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf('120',plain,
    ( ~ ( c1_1 @ a910 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf(zip_derived_cl147,plain,
    ( ~ hskp9
    | ~ ( c3_1 @ a910 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('121',plain,
    ( ~ ( c3_1 @ a910 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl589,plain,
    ( ( c2_1 @ a910 )
   <= ( c2_1 @ a910 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl347,plain,
    ( ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ( c3_1 @ X56 )
        | ~ ( c2_1 @ X56 ) )
   <= ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ( c3_1 @ X56 )
        | ~ ( c2_1 @ X56 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl1583,plain,
    ( ( ( c0_1 @ a910 )
      | ( c3_1 @ a910 ) )
   <= ( ! [X56: $i] :
          ( ( c0_1 @ X56 )
          | ( c3_1 @ X56 )
          | ~ ( c2_1 @ X56 ) )
      & ( c2_1 @ a910 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl589,zip_derived_cl347]) ).

thf('122',plain,
    ( ( c0_1 @ a910 )
    | ~ ! [X56: $i] :
          ( ( c0_1 @ X56 )
          | ( c3_1 @ X56 )
          | ~ ( c2_1 @ X56 ) )
    | ~ ( c2_1 @ a910 )
    | ( c3_1 @ a910 ) ),
    inference(split,[status(esa)],[zip_derived_cl1583]) ).

thf('123',plain,
    ( hskp30
    | ! [X35: $i] :
        ( ( c1_1 @ X35 )
        | ( c3_1 @ X35 )
        | ~ ( c0_1 @ X35 ) )
    | ~ ndr1_0
    | hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf('124',plain,
    ( ( c1_1 @ a908 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf('125',plain,
    ( ~ hskp7
    | ~ ( c2_1 @ a908 ) ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl155,plain,
    ( ~ hskp7
    | ~ ( c3_1 @ a908 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('126',plain,
    ( ~ hskp7
    | ~ ( c3_1 @ a908 ) ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf(zip_derived_cl605_062,plain,
    ( ( c1_1 @ a908 )
   <= ( c1_1 @ a908 ) ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl237_063,plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c1_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c1_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl1315,plain,
    ( ( ( c2_1 @ a908 )
      | ( c3_1 @ a908 ) )
   <= ( ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c3_1 @ X12 )
          | ~ ( c1_1 @ X12 ) )
      & ( c1_1 @ a908 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl605,zip_derived_cl237]) ).

thf('127',plain,
    ( ( c2_1 @ a908 )
    | ( c3_1 @ a908 )
    | ~ ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ( c3_1 @ X12 )
          | ~ ( c1_1 @ X12 ) )
    | ~ ( c1_1 @ a908 ) ),
    inference(split,[status(esa)],[zip_derived_cl1315]) ).

thf(zip_derived_cl26,plain,
    ! [X33: $i,X34: $i] :
      ( ( c1_1 @ X33 )
      | ~ ( c0_1 @ X33 )
      | ~ ( c2_1 @ X33 )
      | ~ ndr1_0
      | ( c2_1 @ X34 )
      | ( c3_1 @ X34 )
      | ~ ( c1_1 @ X34 )
      | ~ ndr1_0
      | hskp27 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('128',plain,
    ( hskp27
    | ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ~ ( c0_1 @ X31 )
        | ~ ( c2_1 @ X31 ) )
    | ~ ndr1_0
    | ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c1_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl69,plain,
    ( ~ hskp28
    | ( c0_1 @ a916 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('129',plain,
    ( ( c0_1 @ a916 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl69]) ).

thf('130',plain,
    ( ( c1_1 @ a916 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl70]) ).

thf(zip_derived_cl71,plain,
    ( ~ hskp28
    | ( c3_1 @ a916 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('131',plain,
    ( ( c3_1 @ a916 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl71]) ).

thf(zip_derived_cl23,plain,
    ! [X27: $i,X28: $i] :
      ( ( c1_1 @ X27 )
      | ~ ( c0_1 @ X27 )
      | ~ ( c3_1 @ X27 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X28 )
      | ~ ( c1_1 @ X28 )
      | ~ ( c3_1 @ X28 )
      | ~ ndr1_0
      | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('132',plain,
    ( hskp1
    | ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ~ ( c0_1 @ X26 )
        | ~ ( c3_1 @ X26 ) )
    | ~ ndr1_0
    | ! [X17: $i] :
        ( ~ ( c0_1 @ X17 )
        | ~ ( c1_1 @ X17 )
        | ~ ( c3_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf('133',plain,
    ( hskp28
    | ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ~ ( c0_1 @ X26 )
        | ~ ( c3_1 @ X26 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf('134',plain,
    ( hskp15
    | hskp23
    | ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf(zip_derived_cl98,plain,
    ( ~ hskp21
    | ~ ( c2_1 @ a946 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('135',plain,
    ( ~ ( c2_1 @ a946 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf(zip_derived_cl99,plain,
    ( ~ hskp21
    | ~ ( c3_1 @ a946 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('136',plain,
    ( ~ ( c3_1 @ a946 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf('137',plain,
    ( hskp27
    | hskp10
    | ~ ndr1_0
    | ! [X61: $i] :
        ( ( c0_1 @ X61 )
        | ( c2_1 @ X61 )
        | ( c3_1 @ X61 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl2,plain,
    ( hskp26
    | hskp5
    | hskp21 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('138',plain,
    ( hskp5
    | hskp26
    | hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf('139',plain,
    ( ( c0_1 @ a906 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl77,plain,
    ( ~ hskp26
    | ( c0_1 @ a979 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('140',plain,
    ( ( c0_1 @ a979 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl77]) ).

thf(zip_derived_cl416_064,plain,
    ( ! [X88: $i] :
        ( ( c0_1 @ X88 )
        | ( c2_1 @ X88 )
        | ~ ( c3_1 @ X88 ) )
   <= ! [X88: $i] :
        ( ( c0_1 @ X88 )
        | ( c2_1 @ X88 )
        | ~ ( c3_1 @ X88 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl495,plain,
    ( ~ ( c2_1 @ a946 )
   <= ~ ( c2_1 @ a946 ) ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf(zip_derived_cl1830,plain,
    ( ( ~ ( c3_1 @ a946 )
      | ( c0_1 @ a946 ) )
   <= ( ~ ( c2_1 @ a946 )
      & ! [X88: $i] :
          ( ( c0_1 @ X88 )
          | ( c2_1 @ X88 )
          | ~ ( c3_1 @ X88 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl416,zip_derived_cl495]) ).

thf(zip_derived_cl3438,plain,
    ( ( c0_1 @ a946 )
   <= ( c0_1 @ a946 ) ),
    inference(split,[status(esa)],[zip_derived_cl1830]) ).

thf(zip_derived_cl816_065,plain,
    ( ! [X0: $i] :
        ( ( c3_1 @ X0 )
        | ~ ( c0_1 @ X0 ) )
   <= ( ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c0_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ! [X20: $i] :
          ( ( c2_1 @ X20 )
          | ( c3_1 @ X20 )
          | ~ ( c0_1 @ X20 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl792]) ).

thf(zip_derived_cl697_066,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c3_1 @ X7 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl695]) ).

thf(zip_derived_cl2036,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c0_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c0_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
      & ! [X20: $i] :
          ( ( c2_1 @ X20 )
          | ( c3_1 @ X20 )
          | ~ ( c0_1 @ X20 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl816,zip_derived_cl697]) ).

thf(zip_derived_cl2083,plain,
    ( ! [X0: $i] :
        ~ ( c0_1 @ X0 )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c0_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
      & ! [X20: $i] :
          ( ( c2_1 @ X20 )
          | ( c3_1 @ X20 )
          | ~ ( c0_1 @ X20 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2036]) ).

thf('141',plain,
    ( ~ ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
    | ~ ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c0_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
    | ~ ! [X20: $i] :
          ( ( c2_1 @ X20 )
          | ( c3_1 @ X20 )
          | ~ ( c0_1 @ X20 ) )
    | ~ ( c0_1 @ a946 )
    | ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3438,zip_derived_cl2083]) ).

thf(zip_derived_cl2083_067,plain,
    ( ! [X0: $i] :
        ~ ( c0_1 @ X0 )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c0_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
      & ! [X20: $i] :
          ( ( c2_1 @ X20 )
          | ( c3_1 @ X20 )
          | ~ ( c0_1 @ X20 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2036]) ).

thf(zip_derived_cl621_068,plain,
    ( ( c0_1 @ a906 )
   <= ( c0_1 @ a906 ) ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf('142',plain,
    ( ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c0_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
    | ~ ( c0_1 @ a906 )
    | ~ ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
    | ~ ! [X20: $i] :
          ( ( c2_1 @ X20 )
          | ( c3_1 @ X20 )
          | ~ ( c0_1 @ X20 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2083,zip_derived_cl621]) ).

thf(zip_derived_cl2083_069,plain,
    ( ! [X0: $i] :
        ~ ( c0_1 @ X0 )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c0_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
      & ! [X20: $i] :
          ( ( c2_1 @ X20 )
          | ( c3_1 @ X20 )
          | ~ ( c0_1 @ X20 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2036]) ).

thf(zip_derived_cl453,plain,
    ( ( c0_1 @ a979 )
   <= ( c0_1 @ a979 ) ),
    inference(split,[status(esa)],[zip_derived_cl77]) ).

thf('143',plain,
    ( ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c0_1 @ a979 )
    | ~ ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c0_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
    | ~ ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
    | ~ ! [X20: $i] :
          ( ( c2_1 @ X20 )
          | ( c3_1 @ X20 )
          | ~ ( c0_1 @ X20 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2083,zip_derived_cl453]) ).

thf(zip_derived_cl142,plain,
    ( ~ hskp10
    | ( c2_1 @ a912 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl583,plain,
    ( ( c2_1 @ a912 )
   <= ( c2_1 @ a912 ) ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf(zip_derived_cl323_070,plain,
    ( ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c2_1 @ X47 )
        | ~ ( c3_1 @ X47 ) )
   <= ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c2_1 @ X47 )
        | ~ ( c3_1 @ X47 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl1400,plain,
    ( ( ( c0_1 @ a912 )
      | ~ ( c3_1 @ a912 ) )
   <= ( ! [X47: $i] :
          ( ( c0_1 @ X47 )
          | ~ ( c2_1 @ X47 )
          | ~ ( c3_1 @ X47 ) )
      & ( c2_1 @ a912 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl583,zip_derived_cl323]) ).

thf(zip_derived_cl2866,plain,
    ( ( c0_1 @ a912 )
   <= ( c0_1 @ a912 ) ),
    inference(split,[status(esa)],[zip_derived_cl1400]) ).

thf(zip_derived_cl2083_071,plain,
    ( ! [X0: $i] :
        ~ ( c0_1 @ X0 )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c0_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
      & ! [X20: $i] :
          ( ( c2_1 @ X20 )
          | ( c3_1 @ X20 )
          | ~ ( c0_1 @ X20 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2036]) ).

thf('144',plain,
    ( ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ( c0_1 @ a912 )
    | ~ ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c0_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
    | ~ ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
    | ~ ! [X20: $i] :
          ( ( c2_1 @ X20 )
          | ( c3_1 @ X20 )
          | ~ ( c0_1 @ X20 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2866,zip_derived_cl2083]) ).

thf(zip_derived_cl363_072,plain,
    ( ! [X61: $i] :
        ( ( c0_1 @ X61 )
        | ( c2_1 @ X61 )
        | ( c3_1 @ X61 ) )
   <= ! [X61: $i] :
        ( ( c0_1 @ X61 )
        | ( c2_1 @ X61 )
        | ( c3_1 @ X61 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl495_073,plain,
    ( ~ ( c2_1 @ a946 )
   <= ~ ( c2_1 @ a946 ) ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf(zip_derived_cl1715,plain,
    ( ( ( c3_1 @ a946 )
      | ( c0_1 @ a946 ) )
   <= ( ~ ( c2_1 @ a946 )
      & ! [X61: $i] :
          ( ( c0_1 @ X61 )
          | ( c2_1 @ X61 )
          | ( c3_1 @ X61 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl363,zip_derived_cl495]) ).

thf('145',plain,
    ( ~ ! [X61: $i] :
          ( ( c0_1 @ X61 )
          | ( c2_1 @ X61 )
          | ( c3_1 @ X61 ) )
    | ( c0_1 @ a946 )
    | ( c2_1 @ a946 )
    | ( c3_1 @ a946 ) ),
    inference(split,[status(esa)],[zip_derived_cl1715]) ).

thf(zip_derived_cl129,plain,
    ( ~ hskp13
    | ( c2_1 @ a921 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl557,plain,
    ( ( c2_1 @ a921 )
   <= ( c2_1 @ a921 ) ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf(zip_derived_cl323_074,plain,
    ( ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c2_1 @ X47 )
        | ~ ( c3_1 @ X47 ) )
   <= ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c2_1 @ X47 )
        | ~ ( c3_1 @ X47 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl1401,plain,
    ( ( ( c0_1 @ a921 )
      | ~ ( c3_1 @ a921 ) )
   <= ( ! [X47: $i] :
          ( ( c0_1 @ X47 )
          | ~ ( c2_1 @ X47 )
          | ~ ( c3_1 @ X47 ) )
      & ( c2_1 @ a921 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl557,zip_derived_cl323]) ).

thf(zip_derived_cl2871,plain,
    ( ( c0_1 @ a921 )
   <= ( c0_1 @ a921 ) ),
    inference(split,[status(esa)],[zip_derived_cl1401]) ).

thf(zip_derived_cl2083_075,plain,
    ( ! [X0: $i] :
        ~ ( c0_1 @ X0 )
   <= ( ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
      & ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c0_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
      & ! [X20: $i] :
          ( ( c2_1 @ X20 )
          | ( c3_1 @ X20 )
          | ~ ( c0_1 @ X20 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2036]) ).

thf('146',plain,
    ( ~ ( c0_1 @ a921 )
    | ~ ! [X1: $i] :
          ( ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 )
          | ~ ( c3_1 @ X1 ) )
    | ~ ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c0_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
    | ~ ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
    | ~ ! [X20: $i] :
          ( ( c2_1 @ X20 )
          | ( c3_1 @ X20 )
          | ~ ( c0_1 @ X20 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2871,zip_derived_cl2083]) ).

thf('147',plain,
    ( ~ hskp17
    | ~ ( c1_1 @ a936 ) ),
    inference(split,[status(esa)],[zip_derived_cl113]) ).

thf('148',plain,
    ( ~ hskp17
    | ~ ( c2_1 @ a936 ) ),
    inference(split,[status(esa)],[zip_derived_cl114]) ).

thf('149',plain,
    ( ~ hskp17
    | ~ ( c3_1 @ a936 ) ),
    inference(split,[status(esa)],[zip_derived_cl115]) ).

thf(zip_derived_cl315_076,plain,
    ( ! [X45: $i] :
        ( ( c1_1 @ X45 )
        | ( c2_1 @ X45 )
        | ( c3_1 @ X45 ) )
   <= ! [X45: $i] :
        ( ( c1_1 @ X45 )
        | ( c2_1 @ X45 )
        | ( c3_1 @ X45 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl525_077,plain,
    ( ~ ( c1_1 @ a936 )
   <= ~ ( c1_1 @ a936 ) ),
    inference(split,[status(esa)],[zip_derived_cl113]) ).

thf(zip_derived_cl1338,plain,
    ( ( ( c3_1 @ a936 )
      | ( c2_1 @ a936 ) )
   <= ( ~ ( c1_1 @ a936 )
      & ! [X45: $i] :
          ( ( c1_1 @ X45 )
          | ( c2_1 @ X45 )
          | ( c3_1 @ X45 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl315,zip_derived_cl525]) ).

thf('150',plain,
    ( ( c1_1 @ a936 )
    | ~ ! [X45: $i] :
          ( ( c1_1 @ X45 )
          | ( c2_1 @ X45 )
          | ( c3_1 @ X45 ) )
    | ( c2_1 @ a936 )
    | ( c3_1 @ a936 ) ),
    inference(split,[status(esa)],[zip_derived_cl1338]) ).

thf(zip_derived_cl35,plain,
    ! [X46: $i] :
      ( ( c1_1 @ X46 )
      | ( c2_1 @ X46 )
      | ( c3_1 @ X46 )
      | ~ ndr1_0
      | hskp11
      | hskp27 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('151',plain,
    ( hskp11
    | hskp27
    | ~ ndr1_0
    | ! [X45: $i] :
        ( ( c1_1 @ X45 )
        | ( c2_1 @ X45 )
        | ( c3_1 @ X45 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl137,plain,
    ( ~ hskp11
    | ( c0_1 @ a914 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('152',plain,
    ( ( c0_1 @ a914 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(zip_derived_cl138,plain,
    ( ~ hskp11
    | ( c3_1 @ a914 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('153',plain,
    ( ( c3_1 @ a914 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf('154',plain,
    ( ~ ( c2_1 @ a914 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf(zip_derived_cl577_078,plain,
    ( ~ ( c2_1 @ a914 )
   <= ~ ( c2_1 @ a914 ) ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf(zip_derived_cl221_079,plain,
    ( ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c3_1 @ X7 ) )
   <= ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c3_1 @ X7 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl745,plain,
    ( ( ~ ( c0_1 @ a914 )
      | ~ ( c3_1 @ a914 ) )
   <= ( ~ ( c2_1 @ a914 )
      & ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c3_1 @ X7 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl577,zip_derived_cl221]) ).

thf('155',plain,
    ( ~ ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c0_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
    | ~ ( c0_1 @ a914 )
    | ( c2_1 @ a914 )
    | ~ ( c3_1 @ a914 ) ),
    inference(split,[status(esa)],[zip_derived_cl745]) ).

thf(zip_derived_cl11,plain,
    ! [X8: $i] :
      ( ( c2_1 @ X8 )
      | ~ ( c0_1 @ X8 )
      | ~ ( c3_1 @ X8 )
      | ~ ndr1_0
      | hskp1
      | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('156',plain,
    ( hskp1
    | hskp10
    | ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c3_1 @ X7 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf('157',plain,
    ( ( c2_1 @ a912 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf(zip_derived_cl143,plain,
    ( ~ hskp10
    | ~ ( c0_1 @ a912 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('158',plain,
    ( ~ hskp10
    | ~ ( c0_1 @ a912 ) ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(zip_derived_cl581,plain,
    ( ( c1_1 @ a912 )
   <= ( c1_1 @ a912 ) ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf(zip_derived_cl5,plain,
    ! [X2: $i] :
      ( ( c3_1 @ X2 )
      | ~ ( c1_1 @ X2 )
      | ~ ( c2_1 @ X2 )
      | ~ ndr1_0
      | hskp20
      | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl201,plain,
    ( ! [X2: $i] :
        ( ( c3_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ( c3_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl1291,plain,
    ( ( ( c3_1 @ a912 )
      | ~ ( c2_1 @ a912 ) )
   <= ( ! [X2: $i] :
          ( ( c3_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ( c1_1 @ a912 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl581,zip_derived_cl201]) ).

thf(zip_derived_cl2831,plain,
    ( ( c3_1 @ a912 )
   <= ( c3_1 @ a912 ) ),
    inference(split,[status(esa)],[zip_derived_cl1291]) ).

thf(zip_derived_cl904_080,plain,
    ( ! [X0: $i] :
        ( ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
      & ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ~ ( c0_1 @ X26 )
          | ~ ( c3_1 @ X26 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl876]) ).

thf(zip_derived_cl279,plain,
    ( ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ~ ( c0_1 @ X31 )
        | ~ ( c2_1 @ X31 ) )
   <= ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ~ ( c0_1 @ X31 )
        | ~ ( c2_1 @ X31 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl193_081,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl942,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ~ ( c0_1 @ X31 )
          | ~ ( c2_1 @ X31 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl279,zip_derived_cl193]) ).

thf(zip_derived_cl971,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ~ ( c0_1 @ X31 )
          | ~ ( c2_1 @ X31 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl942]) ).

thf(zip_derived_cl2236,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c3_1 @ X0 )
        | ~ ( c0_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
      & ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ~ ( c0_1 @ X26 )
          | ~ ( c3_1 @ X26 ) )
      & ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ~ ( c0_1 @ X31 )
          | ~ ( c2_1 @ X31 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl904,zip_derived_cl971]) ).

thf(zip_derived_cl2253,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
      & ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ~ ( c0_1 @ X26 )
          | ~ ( c3_1 @ X26 ) )
      & ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ~ ( c0_1 @ X31 )
          | ~ ( c2_1 @ X31 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2236]) ).

thf(zip_derived_cl3282,plain,
    ( ~ ( c0_1 @ a912 )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
      & ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ~ ( c0_1 @ X26 )
          | ~ ( c3_1 @ X26 ) )
      & ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ~ ( c0_1 @ X31 )
          | ~ ( c2_1 @ X31 ) )
      & ( c3_1 @ a912 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2831,zip_derived_cl2253]) ).

thf(zip_derived_cl2866_082,plain,
    ( ( c0_1 @ a912 )
   <= ( c0_1 @ a912 ) ),
    inference(split,[status(esa)],[zip_derived_cl1400]) ).

thf('159',plain,
    ( ~ ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ~ ( c0_1 @ X31 )
          | ~ ( c2_1 @ X31 ) )
    | ~ ( c3_1 @ a912 )
    | ~ ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
    | ~ ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ~ ( c0_1 @ X26 )
          | ~ ( c3_1 @ X26 ) )
    | ~ ( c0_1 @ a912 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl3282,zip_derived_cl2866]) ).

thf('160',plain,
    ( ( c0_1 @ a912 )
    | ~ ( c3_1 @ a912 )
    | ~ ! [X47: $i] :
          ( ( c0_1 @ X47 )
          | ~ ( c2_1 @ X47 )
          | ~ ( c3_1 @ X47 ) )
    | ~ ( c2_1 @ a912 ) ),
    inference(split,[status(esa)],[zip_derived_cl1400]) ).

thf(zip_derived_cl583_083,plain,
    ( ( c2_1 @ a912 )
   <= ( c2_1 @ a912 ) ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf(zip_derived_cl347_084,plain,
    ( ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ( c3_1 @ X56 )
        | ~ ( c2_1 @ X56 ) )
   <= ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ( c3_1 @ X56 )
        | ~ ( c2_1 @ X56 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl1584,plain,
    ( ( ( c0_1 @ a912 )
      | ( c3_1 @ a912 ) )
   <= ( ! [X56: $i] :
          ( ( c0_1 @ X56 )
          | ( c3_1 @ X56 )
          | ~ ( c2_1 @ X56 ) )
      & ( c2_1 @ a912 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl583,zip_derived_cl347]) ).

thf('161',plain,
    ( ( c3_1 @ a912 )
    | ~ ! [X56: $i] :
          ( ( c0_1 @ X56 )
          | ( c3_1 @ X56 )
          | ~ ( c2_1 @ X56 ) )
    | ~ ( c2_1 @ a912 )
    | ( c0_1 @ a912 ) ),
    inference(split,[status(esa)],[zip_derived_cl1584]) ).

thf(zip_derived_cl279_085,plain,
    ( ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ~ ( c0_1 @ X31 )
        | ~ ( c2_1 @ X31 ) )
   <= ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ~ ( c0_1 @ X31 )
        | ~ ( c2_1 @ X31 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl545_086,plain,
    ( ~ ( c1_1 @ a924 )
   <= ~ ( c1_1 @ a924 ) ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl954,plain,
    ( ( ~ ( c2_1 @ a924 )
      | ~ ( c0_1 @ a924 ) )
   <= ( ~ ( c1_1 @ a924 )
      & ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ~ ( c0_1 @ X31 )
          | ~ ( c2_1 @ X31 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl279,zip_derived_cl545]) ).

thf(zip_derived_cl1013,plain,
    ( ~ ( c2_1 @ a924 )
   <= ~ ( c2_1 @ a924 ) ),
    inference(split,[status(esa)],[zip_derived_cl954]) ).

thf(zip_derived_cl252_087,plain,
    ( ! [X20: $i] :
        ( ( c2_1 @ X20 )
        | ( c3_1 @ X20 )
        | ~ ( c0_1 @ X20 ) )
   <= ! [X20: $i] :
        ( ( c2_1 @ X20 )
        | ( c3_1 @ X20 )
        | ~ ( c0_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl1015,plain,
    ( ( ( c3_1 @ a924 )
      | ~ ( c0_1 @ a924 ) )
   <= ( ~ ( c2_1 @ a924 )
      & ! [X20: $i] :
          ( ( c2_1 @ X20 )
          | ( c3_1 @ X20 )
          | ~ ( c0_1 @ X20 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1013,zip_derived_cl252]) ).

thf(zip_derived_cl2972,plain,
    ( ( c3_1 @ a924 )
   <= ( c3_1 @ a924 ) ),
    inference(split,[status(esa)],[zip_derived_cl1015]) ).

thf(zip_derived_cl2253_088,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
      & ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ~ ( c0_1 @ X26 )
          | ~ ( c3_1 @ X26 ) )
      & ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ~ ( c0_1 @ X31 )
          | ~ ( c2_1 @ X31 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2236]) ).

thf(zip_derived_cl3286,plain,
    ( ~ ( c0_1 @ a924 )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
      & ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ~ ( c0_1 @ X26 )
          | ~ ( c3_1 @ X26 ) )
      & ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ~ ( c0_1 @ X31 )
          | ~ ( c2_1 @ X31 ) )
      & ( c3_1 @ a924 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2972,zip_derived_cl2253]) ).

thf(zip_derived_cl121,plain,
    ( ~ hskp15
    | ( c2_1 @ a924 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl541,plain,
    ( ( c2_1 @ a924 )
   <= ( c2_1 @ a924 ) ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl323_089,plain,
    ( ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c2_1 @ X47 )
        | ~ ( c3_1 @ X47 ) )
   <= ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c2_1 @ X47 )
        | ~ ( c3_1 @ X47 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl1402,plain,
    ( ( ( c0_1 @ a924 )
      | ~ ( c3_1 @ a924 ) )
   <= ( ! [X47: $i] :
          ( ( c0_1 @ X47 )
          | ~ ( c2_1 @ X47 )
          | ~ ( c3_1 @ X47 ) )
      & ( c2_1 @ a924 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl541,zip_derived_cl323]) ).

thf(zip_derived_cl2876,plain,
    ( ( c0_1 @ a924 )
   <= ( c0_1 @ a924 ) ),
    inference(split,[status(esa)],[zip_derived_cl1402]) ).

thf('162',plain,
    ( ~ ( c0_1 @ a924 )
    | ~ ( c3_1 @ a924 )
    | ~ ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
    | ~ ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ~ ( c0_1 @ X26 )
          | ~ ( c3_1 @ X26 ) )
    | ~ ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ~ ( c0_1 @ X31 )
          | ~ ( c2_1 @ X31 ) )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl3286,zip_derived_cl2876]) ).

thf('163',plain,
    ( hskp1
    | hskp23
    | ~ ndr1_0
    | ! [X20: $i] :
        ( ( c2_1 @ X20 )
        | ( c3_1 @ X20 )
        | ~ ( c0_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf('164',plain,
    ( ( c0_1 @ a902 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf(zip_derived_cl178,plain,
    ( ~ hskp1
    | ( c2_1 @ a902 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('165',plain,
    ( ( c2_1 @ a902 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf(zip_derived_cl179,plain,
    ( ~ hskp1
    | ~ ( c1_1 @ a902 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('166',plain,
    ( ~ ( c1_1 @ a902 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl179]) ).

thf(zip_derived_cl279_090,plain,
    ( ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ~ ( c0_1 @ X31 )
        | ~ ( c2_1 @ X31 ) )
   <= ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ~ ( c0_1 @ X31 )
        | ~ ( c2_1 @ X31 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl657,plain,
    ( ~ ( c1_1 @ a902 )
   <= ~ ( c1_1 @ a902 ) ),
    inference(split,[status(esa)],[zip_derived_cl179]) ).

thf(zip_derived_cl950,plain,
    ( ( ~ ( c2_1 @ a902 )
      | ~ ( c0_1 @ a902 ) )
   <= ( ~ ( c1_1 @ a902 )
      & ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ~ ( c0_1 @ X31 )
          | ~ ( c2_1 @ X31 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl279,zip_derived_cl657]) ).

thf('167',plain,
    ( ~ ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ~ ( c0_1 @ X31 )
          | ~ ( c2_1 @ X31 ) )
    | ~ ( c2_1 @ a902 )
    | ( c1_1 @ a902 )
    | ~ ( c0_1 @ a902 ) ),
    inference(split,[status(esa)],[zip_derived_cl950]) ).

thf(zip_derived_cl439_091,plain,
    ( ( c1_1 @ a916 )
   <= ( c1_1 @ a916 ) ),
    inference(split,[status(esa)],[zip_derived_cl70]) ).

thf(zip_derived_cl246_092,plain,
    ( ! [X17: $i] :
        ( ~ ( c0_1 @ X17 )
        | ~ ( c1_1 @ X17 )
        | ~ ( c3_1 @ X17 ) )
   <= ! [X17: $i] :
        ( ~ ( c0_1 @ X17 )
        | ~ ( c1_1 @ X17 )
        | ~ ( c3_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl1113,plain,
    ( ( ~ ( c0_1 @ a916 )
      | ~ ( c3_1 @ a916 ) )
   <= ( ! [X17: $i] :
          ( ~ ( c0_1 @ X17 )
          | ~ ( c1_1 @ X17 )
          | ~ ( c3_1 @ X17 ) )
      & ( c1_1 @ a916 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl439,zip_derived_cl246]) ).

thf('168',plain,
    ( ~ ! [X17: $i] :
          ( ~ ( c0_1 @ X17 )
          | ~ ( c1_1 @ X17 )
          | ~ ( c3_1 @ X17 ) )
    | ~ ( c1_1 @ a916 )
    | ~ ( c3_1 @ a916 )
    | ~ ( c0_1 @ a916 ) ),
    inference(split,[status(esa)],[zip_derived_cl1113]) ).

thf(zip_derived_cl477_093,plain,
    ( ( c1_1 @ a954 )
   <= ( c1_1 @ a954 ) ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf(zip_derived_cl193_094,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl1214,plain,
    ( ( ~ ( c2_1 @ a954 )
      | ~ ( c3_1 @ a954 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c1_1 @ a954 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl477,zip_derived_cl193]) ).

thf('169',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c2_1 @ a954 )
    | ~ ( c3_1 @ a954 )
    | ~ ( c1_1 @ a954 ) ),
    inference(split,[status(esa)],[zip_derived_cl1214]) ).

thf('170',plain,
    ( ( c1_1 @ a954 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf(zip_derived_cl90,plain,
    ( ~ hskp23
    | ( c3_1 @ a954 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('171',plain,
    ( ( c3_1 @ a954 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf('172',plain,
    ( ~ ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
    | ( c2_1 @ a954 )
    | ~ ( c1_1 @ a954 )
    | ~ ( c3_1 @ a954 ) ),
    inference(split,[status(esa)],[zip_derived_cl1217]) ).

thf('173',plain,
    ( hskp30
    | hskp17
    | ~ ndr1_0
    | ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c0_1 @ X3 )
        | ~ ( c2_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf('174',plain,
    ( ~ ( c3_1 @ a924 )
    | ~ ( c2_1 @ a924 )
    | ~ ! [X47: $i] :
          ( ( c0_1 @ X47 )
          | ~ ( c2_1 @ X47 )
          | ~ ( c3_1 @ X47 ) )
    | ( c0_1 @ a924 ) ),
    inference(split,[status(esa)],[zip_derived_cl1402]) ).

thf('175',plain,
    ( ( c2_1 @ a924 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl122,plain,
    ( ~ hskp15
    | ~ ( c0_1 @ a924 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('176',plain,
    ( ~ ( c0_1 @ a924 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl541_095,plain,
    ( ( c2_1 @ a924 )
   <= ( c2_1 @ a924 ) ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf(zip_derived_cl347_096,plain,
    ( ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ( c3_1 @ X56 )
        | ~ ( c2_1 @ X56 ) )
   <= ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ( c3_1 @ X56 )
        | ~ ( c2_1 @ X56 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl1586,plain,
    ( ( ( c0_1 @ a924 )
      | ( c3_1 @ a924 ) )
   <= ( ! [X56: $i] :
          ( ( c0_1 @ X56 )
          | ( c3_1 @ X56 )
          | ~ ( c2_1 @ X56 ) )
      & ( c2_1 @ a924 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl541,zip_derived_cl347]) ).

thf('177',plain,
    ( ~ ! [X56: $i] :
          ( ( c0_1 @ X56 )
          | ( c3_1 @ X56 )
          | ~ ( c2_1 @ X56 ) )
    | ( c3_1 @ a924 )
    | ~ ( c2_1 @ a924 )
    | ( c0_1 @ a924 ) ),
    inference(split,[status(esa)],[zip_derived_cl1586]) ).

thf('178',plain,
    ( ( c2_1 @ a942 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl63]) ).

thf(zip_derived_cl62,plain,
    ( ~ hskp30
    | ( c1_1 @ a942 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl423,plain,
    ( ( c1_1 @ a942 )
   <= ( c1_1 @ a942 ) ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf(zip_derived_cl193_097,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl1084,plain,
    ( ( ~ ( c2_1 @ a942 )
      | ~ ( c3_1 @ a942 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c1_1 @ a942 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl423,zip_derived_cl193]) ).

thf('179',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c3_1 @ a942 )
    | ~ ( c2_1 @ a942 )
    | ~ ( c1_1 @ a942 ) ),
    inference(split,[status(esa)],[zip_derived_cl1084]) ).

thf(zip_derived_cl61,plain,
    ( ~ hskp30
    | ( c0_1 @ a942 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('180',plain,
    ( ( c0_1 @ a942 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf('181',plain,
    ( ( c1_1 @ a942 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf(zip_derived_cl423_098,plain,
    ( ( c1_1 @ a942 )
   <= ( c1_1 @ a942 ) ),
    inference(split,[status(esa)],[zip_derived_cl62]) ).

thf(zip_derived_cl209_099,plain,
    ( ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 ) )
   <= ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl1086,plain,
    ( ( ( c3_1 @ a942 )
      | ~ ( c0_1 @ a942 ) )
   <= ( ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 ) )
      & ( c1_1 @ a942 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl423,zip_derived_cl209]) ).

thf('182',plain,
    ( ( c3_1 @ a942 )
    | ~ ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 ) )
    | ~ ( c0_1 @ a942 )
    | ~ ( c1_1 @ a942 ) ),
    inference(split,[status(esa)],[zip_derived_cl1086]) ).

thf('183',plain,
    ( hskp27
    | ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 ) )
    | hskp13
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl100,plain,
    ( ~ hskp20
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('184',plain,
    ( ndr1_0
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl100]) ).

thf(zip_derived_cl124,plain,
    ( ~ hskp14
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('185',plain,
    ( ndr1_0
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl124]) ).

thf(zip_derived_cl164,plain,
    ( ~ hskp4
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('186',plain,
    ( ndr1_0
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl164]) ).

thf(zip_derived_cl1,plain,
    ( hskp20
    | hskp14
    | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('187',plain,
    ( hskp4
    | hskp20
    | hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl130,plain,
    ( ~ hskp13
    | ~ ( c0_1 @ a921 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('188',plain,
    ( ~ ( c0_1 @ a921 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf('189',plain,
    ( ( c2_1 @ a921 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf(zip_derived_cl131,plain,
    ( ~ hskp13
    | ~ ( c3_1 @ a921 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('190',plain,
    ( ~ ( c3_1 @ a921 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf(zip_derived_cl557_100,plain,
    ( ( c2_1 @ a921 )
   <= ( c2_1 @ a921 ) ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf(zip_derived_cl347_101,plain,
    ( ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ( c3_1 @ X56 )
        | ~ ( c2_1 @ X56 ) )
   <= ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ( c3_1 @ X56 )
        | ~ ( c2_1 @ X56 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl1585,plain,
    ( ( ( c0_1 @ a921 )
      | ( c3_1 @ a921 ) )
   <= ( ! [X56: $i] :
          ( ( c0_1 @ X56 )
          | ( c3_1 @ X56 )
          | ~ ( c2_1 @ X56 ) )
      & ( c2_1 @ a921 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl557,zip_derived_cl347]) ).

thf('191',plain,
    ( ~ ! [X56: $i] :
          ( ( c0_1 @ X56 )
          | ( c3_1 @ X56 )
          | ~ ( c2_1 @ X56 ) )
    | ~ ( c2_1 @ a921 )
    | ( c3_1 @ a921 )
    | ( c0_1 @ a921 ) ),
    inference(split,[status(esa)],[zip_derived_cl1585]) ).

thf(zip_derived_cl581_102,plain,
    ( ( c1_1 @ a912 )
   <= ( c1_1 @ a912 ) ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf(zip_derived_cl335_103,plain,
    ( ! [X51: $i] :
        ( ( c0_1 @ X51 )
        | ~ ( c1_1 @ X51 )
        | ~ ( c2_1 @ X51 ) )
   <= ! [X51: $i] :
        ( ( c0_1 @ X51 )
        | ~ ( c1_1 @ X51 )
        | ~ ( c2_1 @ X51 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl1437,plain,
    ( ( ( c0_1 @ a912 )
      | ~ ( c2_1 @ a912 ) )
   <= ( ! [X51: $i] :
          ( ( c0_1 @ X51 )
          | ~ ( c1_1 @ X51 )
          | ~ ( c2_1 @ X51 ) )
      & ( c1_1 @ a912 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl581,zip_derived_cl335]) ).

thf('192',plain,
    ( ( c0_1 @ a912 )
    | ~ ( c1_1 @ a912 )
    | ~ ! [X51: $i] :
          ( ( c0_1 @ X51 )
          | ~ ( c1_1 @ X51 )
          | ~ ( c2_1 @ X51 ) )
    | ~ ( c2_1 @ a912 ) ),
    inference(split,[status(esa)],[zip_derived_cl1437]) ).

thf('193',plain,
    ( ( c1_1 @ a900 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl73]) ).

thf('194',plain,
    ( ( c2_1 @ a900 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl74]) ).

thf(zip_derived_cl75,plain,
    ( ~ hskp27
    | ( c3_1 @ a900 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('195',plain,
    ( ( c3_1 @ a900 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl75]) ).

thf(zip_derived_cl445_104,plain,
    ( ( c1_1 @ a900 )
   <= ( c1_1 @ a900 ) ),
    inference(split,[status(esa)],[zip_derived_cl73]) ).

thf(zip_derived_cl193_105,plain,
    ( ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl1116,plain,
    ( ( ~ ( c2_1 @ a900 )
      | ~ ( c3_1 @ a900 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c1_1 @ a900 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl445,zip_derived_cl193]) ).

thf('196',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c1_1 @ a900 )
    | ~ ( c3_1 @ a900 )
    | ~ ( c2_1 @ a900 ) ),
    inference(split,[status(esa)],[zip_derived_cl1116]) ).

thf('197',plain,
    ( hskp27
    | hskp9
    | ~ ndr1_0
    | ! [X45: $i] :
        ( ( c1_1 @ X45 )
        | ( c2_1 @ X45 )
        | ( c3_1 @ X45 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl34]) ).

thf(zip_derived_cl105,plain,
    ( ~ hskp19
    | ( c2_1 @ a938 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('198',plain,
    ( ~ hskp19
    | ( c2_1 @ a938 ) ),
    inference(split,[status(esa)],[zip_derived_cl105]) ).

thf(zip_derived_cl106,plain,
    ( ~ hskp19
    | ( c3_1 @ a938 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('199',plain,
    ( ~ hskp19
    | ( c3_1 @ a938 ) ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(zip_derived_cl107,plain,
    ( ~ hskp19
    | ~ ( c0_1 @ a938 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('200',plain,
    ( ~ hskp19
    | ~ ( c0_1 @ a938 ) ),
    inference(split,[status(esa)],[zip_derived_cl107]) ).

thf(zip_derived_cl509,plain,
    ( ( c2_1 @ a938 )
   <= ( c2_1 @ a938 ) ),
    inference(split,[status(esa)],[zip_derived_cl105]) ).

thf(zip_derived_cl323_106,plain,
    ( ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c2_1 @ X47 )
        | ~ ( c3_1 @ X47 ) )
   <= ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c2_1 @ X47 )
        | ~ ( c3_1 @ X47 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl1404,plain,
    ( ( ( c0_1 @ a938 )
      | ~ ( c3_1 @ a938 ) )
   <= ( ! [X47: $i] :
          ( ( c0_1 @ X47 )
          | ~ ( c2_1 @ X47 )
          | ~ ( c3_1 @ X47 ) )
      & ( c2_1 @ a938 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl509,zip_derived_cl323]) ).

thf('201',plain,
    ( ( c0_1 @ a938 )
    | ~ ( c3_1 @ a938 )
    | ~ ! [X47: $i] :
          ( ( c0_1 @ X47 )
          | ~ ( c2_1 @ X47 )
          | ~ ( c3_1 @ X47 ) )
    | ~ ( c2_1 @ a938 ) ),
    inference(split,[status(esa)],[zip_derived_cl1404]) ).

thf(zip_derived_cl416_107,plain,
    ( ! [X88: $i] :
        ( ( c0_1 @ X88 )
        | ( c2_1 @ X88 )
        | ~ ( c3_1 @ X88 ) )
   <= ! [X88: $i] :
        ( ( c0_1 @ X88 )
        | ( c2_1 @ X88 )
        | ~ ( c3_1 @ X88 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl633,plain,
    ( ~ ( c2_1 @ a905 )
   <= ~ ( c2_1 @ a905 ) ),
    inference(split,[status(esa)],[zip_derived_cl167]) ).

thf(zip_derived_cl1817,plain,
    ( ( ~ ( c3_1 @ a905 )
      | ( c0_1 @ a905 ) )
   <= ( ~ ( c2_1 @ a905 )
      & ! [X88: $i] :
          ( ( c0_1 @ X88 )
          | ( c2_1 @ X88 )
          | ~ ( c3_1 @ X88 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl416,zip_derived_cl633]) ).

thf('202',plain,
    ( ~ ! [X88: $i] :
          ( ( c0_1 @ X88 )
          | ( c2_1 @ X88 )
          | ~ ( c3_1 @ X88 ) )
    | ~ ( c3_1 @ a905 )
    | ( c0_1 @ a905 )
    | ( c2_1 @ a905 ) ),
    inference(split,[status(esa)],[zip_derived_cl1817]) ).

thf(zip_derived_cl133,plain,
    ( ~ hskp12
    | ( c1_1 @ a917 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('203',plain,
    ( ( c1_1 @ a917 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf(zip_derived_cl134,plain,
    ( ~ hskp12
    | ( c3_1 @ a917 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('204',plain,
    ( ( c3_1 @ a917 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl135,plain,
    ( ~ hskp12
    | ~ ( c2_1 @ a917 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('205',plain,
    ( ~ ( c2_1 @ a917 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl135]) ).

thf(zip_derived_cl565,plain,
    ( ( c1_1 @ a917 )
   <= ( c1_1 @ a917 ) ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf(zip_derived_cl213_108,plain,
    ( ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c3_1 @ X5 ) )
   <= ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c3_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl1274,plain,
    ( ( ( c2_1 @ a917 )
      | ~ ( c3_1 @ a917 ) )
   <= ( ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
      & ( c1_1 @ a917 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl565,zip_derived_cl213]) ).

thf('206',plain,
    ( ~ ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
    | ~ ( c1_1 @ a917 )
    | ( c2_1 @ a917 )
    | ~ ( c3_1 @ a917 ) ),
    inference(split,[status(esa)],[zip_derived_cl1274]) ).

thf(zip_derived_cl589_109,plain,
    ( ( c2_1 @ a910 )
   <= ( c2_1 @ a910 ) ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf(zip_derived_cl205_110,plain,
    ( ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c0_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c0_1 @ X3 )
        | ~ ( c2_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl1300,plain,
    ( ( ( c3_1 @ a910 )
      | ~ ( c0_1 @ a910 ) )
   <= ( ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c0_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ( c2_1 @ a910 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl589,zip_derived_cl205]) ).

thf('207',plain,
    ( ~ ! [X3: $i] :
          ( ( c3_1 @ X3 )
          | ~ ( c0_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
    | ~ ( c0_1 @ a910 )
    | ~ ( c2_1 @ a910 )
    | ( c3_1 @ a910 ) ),
    inference(split,[status(esa)],[zip_derived_cl1300]) ).

thf(zip_derived_cl17,plain,
    ! [X18: $i,X19: $i] :
      ( ( c2_1 @ X18 )
      | ( c3_1 @ X18 )
      | ~ ( c1_1 @ X18 )
      | ~ ndr1_0
      | ( c2_1 @ X19 )
      | ~ ( c1_1 @ X19 )
      | ~ ( c3_1 @ X19 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('208',plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c1_1 @ X12 ) )
    | ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c3_1 @ X5 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf('209',plain,
    ! [X12: $i] :
      ( ( c2_1 @ X12 )
      | ( c3_1 @ X12 )
      | ~ ( c1_1 @ X12 ) ),
    inference('sat_resolution*',[status(thm)],['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']) ).

thf(zip_derived_cl10576,plain,
    ( ! [X0: $i] :
        ( ( c3_1 @ X0 )
        | ( c0_1 @ X0 )
        | ( c2_1 @ X0 ) )
   <= ! [X76: $i] :
        ( ( c0_1 @ X76 )
        | ( c1_1 @ X76 )
        | ( c2_1 @ X76 ) ) ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl1960,'209']) ).

thf(zip_derived_cl279_111,plain,
    ( ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ~ ( c0_1 @ X31 )
        | ~ ( c2_1 @ X31 ) )
   <= ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ~ ( c0_1 @ X31 )
        | ~ ( c2_1 @ X31 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl663_112,plain,
    ( ~ ( c1_1 @ a901 )
   <= ~ ( c1_1 @ a901 ) ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf(zip_derived_cl949,plain,
    ( ( ~ ( c2_1 @ a901 )
      | ~ ( c0_1 @ a901 ) )
   <= ( ~ ( c1_1 @ a901 )
      & ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ~ ( c0_1 @ X31 )
          | ~ ( c2_1 @ X31 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl279,zip_derived_cl663]) ).

thf(zip_derived_cl986,plain,
    ( ~ ( c2_1 @ a901 )
   <= ~ ( c2_1 @ a901 ) ),
    inference(split,[status(esa)],[zip_derived_cl949]) ).

thf(zip_derived_cl11014,plain,
    ( ( ( c0_1 @ a901 )
      | ( c3_1 @ a901 ) )
   <= ( ~ ( c2_1 @ a901 )
      & ! [X76: $i] :
          ( ( c0_1 @ X76 )
          | ( c1_1 @ X76 )
          | ( c2_1 @ X76 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl10576,zip_derived_cl986]) ).

thf('210',plain,
    ( ( c2_1 @ a901 )
    | ( c3_1 @ a901 )
    | ~ ! [X76: $i] :
          ( ( c0_1 @ X76 )
          | ( c1_1 @ X76 )
          | ( c2_1 @ X76 ) )
    | ( c0_1 @ a901 ) ),
    inference(split,[status(esa)],[zip_derived_cl11014]) ).

thf(zip_derived_cl344_113,plain,
    ( ! [X54: $i] :
        ( ( c1_1 @ X54 )
        | ( c3_1 @ X54 )
        | ~ ( c2_1 @ X54 ) )
   <= ! [X54: $i] :
        ( ( c1_1 @ X54 )
        | ( c3_1 @ X54 )
        | ~ ( c2_1 @ X54 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl201_114,plain,
    ( ! [X2: $i] :
        ( ( c3_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) )
   <= ! [X2: $i] :
        ( ( c3_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl1485,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ( c3_1 @ X0 )
        | ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ( c3_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ! [X54: $i] :
          ( ( c1_1 @ X54 )
          | ( c3_1 @ X54 )
          | ~ ( c2_1 @ X54 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl344,zip_derived_cl201]) ).

thf(zip_derived_cl1515,plain,
    ( ! [X0: $i] :
        ( ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X2: $i] :
          ( ( c3_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ! [X54: $i] :
          ( ( c1_1 @ X54 )
          | ( c3_1 @ X54 )
          | ~ ( c2_1 @ X54 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1485]) ).

thf(zip_derived_cl557_115,plain,
    ( ( c2_1 @ a921 )
   <= ( c2_1 @ a921 ) ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf(zip_derived_cl2312,plain,
    ( ( c3_1 @ a921 )
   <= ( ! [X2: $i] :
          ( ( c3_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
      & ! [X54: $i] :
          ( ( c1_1 @ X54 )
          | ( c3_1 @ X54 )
          | ~ ( c2_1 @ X54 ) )
      & ( c2_1 @ a921 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1515,zip_derived_cl557]) ).

thf(zip_derived_cl561,plain,
    ( ~ ( c3_1 @ a921 )
   <= ~ ( c3_1 @ a921 ) ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf('211',plain,
    ( ~ ! [X2: $i] :
          ( ( c3_1 @ X2 )
          | ~ ( c1_1 @ X2 )
          | ~ ( c2_1 @ X2 ) )
    | ~ ! [X54: $i] :
          ( ( c1_1 @ X54 )
          | ( c3_1 @ X54 )
          | ~ ( c2_1 @ X54 ) )
    | ~ ( c2_1 @ a921 )
    | ( c3_1 @ a921 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2312,zip_derived_cl561]) ).

thf(zip_derived_cl295_116,plain,
    ( ! [X38: $i] :
        ( ( c1_1 @ X38 )
        | ( c2_1 @ X38 )
        | ~ ( c3_1 @ X38 ) )
   <= ! [X38: $i] :
        ( ( c1_1 @ X38 )
        | ( c2_1 @ X38 )
        | ~ ( c3_1 @ X38 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl639_117,plain,
    ( ~ ( c1_1 @ a904 )
   <= ~ ( c1_1 @ a904 ) ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl1134,plain,
    ( ( ~ ( c3_1 @ a904 )
      | ( c2_1 @ a904 ) )
   <= ( ~ ( c1_1 @ a904 )
      & ! [X38: $i] :
          ( ( c1_1 @ X38 )
          | ( c2_1 @ X38 )
          | ~ ( c3_1 @ X38 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl295,zip_derived_cl639]) ).

thf('212',plain,
    ( ~ ! [X38: $i] :
          ( ( c1_1 @ X38 )
          | ( c2_1 @ X38 )
          | ~ ( c3_1 @ X38 ) )
    | ( c1_1 @ a904 )
    | ( c2_1 @ a904 )
    | ~ ( c3_1 @ a904 ) ),
    inference(split,[status(esa)],[zip_derived_cl1134]) ).

thf(zip_derived_cl51,plain,
    ! [X69: $i] :
      ( ( c0_1 @ X69 )
      | ( c1_1 @ X69 )
      | ~ ( c2_1 @ X69 )
      | ~ ndr1_0
      | hskp3
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('213',plain,
    ( hskp3
    | hskp4
    | ~ ndr1_0
    | ! [X69: $i] :
        ( ( c0_1 @ X69 )
        | ( c1_1 @ X69 )
        | ~ ( c2_1 @ X69 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf(zip_derived_cl383,plain,
    ( ! [X69: $i] :
        ( ( c0_1 @ X69 )
        | ( c1_1 @ X69 )
        | ~ ( c2_1 @ X69 ) )
   <= ! [X69: $i] :
        ( ( c0_1 @ X69 )
        | ( c1_1 @ X69 )
        | ~ ( c2_1 @ X69 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf(zip_derived_cl545_118,plain,
    ( ~ ( c1_1 @ a924 )
   <= ~ ( c1_1 @ a924 ) ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl1769,plain,
    ( ( ~ ( c2_1 @ a924 )
      | ( c0_1 @ a924 ) )
   <= ( ~ ( c1_1 @ a924 )
      & ! [X69: $i] :
          ( ( c0_1 @ X69 )
          | ( c1_1 @ X69 )
          | ~ ( c2_1 @ X69 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl383,zip_derived_cl545]) ).

thf('214',plain,
    ( ~ ! [X69: $i] :
          ( ( c0_1 @ X69 )
          | ( c1_1 @ X69 )
          | ~ ( c2_1 @ X69 ) )
    | ( c1_1 @ a924 )
    | ( c0_1 @ a924 )
    | ~ ( c2_1 @ a924 ) ),
    inference(split,[status(esa)],[zip_derived_cl1769]) ).

thf(zip_derived_cl38,plain,
    ! [X49: $i,X50: $i] :
      ( ( c0_1 @ X49 )
      | ~ ( c2_1 @ X49 )
      | ~ ( c3_1 @ X49 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X50 )
      | ~ ( c2_1 @ X50 )
      | ~ ( c3_1 @ X50 )
      | ~ ndr1_0
      | hskp15 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('215',plain,
    ( hskp15
    | ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c2_1 @ X47 )
        | ~ ( c3_1 @ X47 ) )
    | ~ ndr1_0
    | ! [X0: $i] :
        ( ~ ( c1_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl395_119,plain,
    ( ! [X76: $i] :
        ( ( c0_1 @ X76 )
        | ( c1_1 @ X76 )
        | ( c2_1 @ X76 ) )
   <= ! [X76: $i] :
        ( ( c0_1 @ X76 )
        | ( c1_1 @ X76 )
        | ( c2_1 @ X76 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf(zip_derived_cl553_120,plain,
    ( ~ ( c1_1 @ a923 )
   <= ~ ( c1_1 @ a923 ) ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl1940,plain,
    ( ( ( c2_1 @ a923 )
      | ( c0_1 @ a923 ) )
   <= ( ~ ( c1_1 @ a923 )
      & ! [X76: $i] :
          ( ( c0_1 @ X76 )
          | ( c1_1 @ X76 )
          | ( c2_1 @ X76 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl395,zip_derived_cl553]) ).

thf('216',plain,
    ( ( c2_1 @ a923 )
    | ( c0_1 @ a923 )
    | ~ ! [X76: $i] :
          ( ( c0_1 @ X76 )
          | ( c1_1 @ X76 )
          | ( c2_1 @ X76 ) )
    | ( c1_1 @ a923 ) ),
    inference(split,[status(esa)],[zip_derived_cl1940]) ).

thf(zip_derived_cl295_121,plain,
    ( ! [X38: $i] :
        ( ( c1_1 @ X38 )
        | ( c2_1 @ X38 )
        | ~ ( c3_1 @ X38 ) )
   <= ! [X38: $i] :
        ( ( c1_1 @ X38 )
        | ( c2_1 @ X38 )
        | ~ ( c3_1 @ X38 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl553_122,plain,
    ( ~ ( c1_1 @ a923 )
   <= ~ ( c1_1 @ a923 ) ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl1136,plain,
    ( ( ~ ( c3_1 @ a923 )
      | ( c2_1 @ a923 ) )
   <= ( ~ ( c1_1 @ a923 )
      & ! [X38: $i] :
          ( ( c1_1 @ X38 )
          | ( c2_1 @ X38 )
          | ~ ( c3_1 @ X38 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl295,zip_derived_cl553]) ).

thf(zip_derived_cl4145,plain,
    ( ( c2_1 @ a923 )
   <= ( c2_1 @ a923 ) ),
    inference(split,[status(esa)],[zip_derived_cl1136]) ).

thf(zip_derived_cl323_123,plain,
    ( ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c2_1 @ X47 )
        | ~ ( c3_1 @ X47 ) )
   <= ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c2_1 @ X47 )
        | ~ ( c3_1 @ X47 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl4162,plain,
    ( ( ( c0_1 @ a923 )
      | ~ ( c3_1 @ a923 ) )
   <= ( ! [X47: $i] :
          ( ( c0_1 @ X47 )
          | ~ ( c2_1 @ X47 )
          | ~ ( c3_1 @ X47 ) )
      & ( c2_1 @ a923 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4145,zip_derived_cl323]) ).

thf('217',plain,
    ( ~ ( c2_1 @ a923 )
    | ( c0_1 @ a923 )
    | ~ ! [X47: $i] :
          ( ( c0_1 @ X47 )
          | ~ ( c2_1 @ X47 )
          | ~ ( c3_1 @ X47 ) )
    | ~ ( c3_1 @ a923 ) ),
    inference(split,[status(esa)],[zip_derived_cl4162]) ).

thf(zip_derived_cl416_124,plain,
    ( ! [X88: $i] :
        ( ( c0_1 @ X88 )
        | ( c2_1 @ X88 )
        | ~ ( c3_1 @ X88 ) )
   <= ! [X88: $i] :
        ( ( c0_1 @ X88 )
        | ( c2_1 @ X88 )
        | ~ ( c3_1 @ X88 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl279_125,plain,
    ( ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ~ ( c0_1 @ X31 )
        | ~ ( c2_1 @ X31 ) )
   <= ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ~ ( c0_1 @ X31 )
        | ~ ( c2_1 @ X31 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl553_126,plain,
    ( ~ ( c1_1 @ a923 )
   <= ~ ( c1_1 @ a923 ) ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl953,plain,
    ( ( ~ ( c2_1 @ a923 )
      | ~ ( c0_1 @ a923 ) )
   <= ( ~ ( c1_1 @ a923 )
      & ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ~ ( c0_1 @ X31 )
          | ~ ( c2_1 @ X31 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl279,zip_derived_cl553]) ).

thf(zip_derived_cl1006,plain,
    ( ~ ( c2_1 @ a923 )
   <= ~ ( c2_1 @ a923 ) ),
    inference(split,[status(esa)],[zip_derived_cl953]) ).

thf(zip_derived_cl1824,plain,
    ( ( ~ ( c3_1 @ a923 )
      | ( c0_1 @ a923 ) )
   <= ( ~ ( c2_1 @ a923 )
      & ! [X88: $i] :
          ( ( c0_1 @ X88 )
          | ( c2_1 @ X88 )
          | ~ ( c3_1 @ X88 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl416,zip_derived_cl1006]) ).

thf('218',plain,
    ( ( c2_1 @ a923 )
    | ~ ! [X88: $i] :
          ( ( c0_1 @ X88 )
          | ( c2_1 @ X88 )
          | ~ ( c3_1 @ X88 ) )
    | ( c0_1 @ a923 )
    | ~ ( c3_1 @ a923 ) ),
    inference(split,[status(esa)],[zip_derived_cl1824]) ).

thf(zip_derived_cl445_127,plain,
    ( ( c1_1 @ a900 )
   <= ( c1_1 @ a900 ) ),
    inference(split,[status(esa)],[zip_derived_cl73]) ).

thf(zip_derived_cl371_128,plain,
    ( ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ~ ( c1_1 @ X65 )
        | ~ ( c3_1 @ X65 ) )
   <= ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ~ ( c1_1 @ X65 )
        | ~ ( c3_1 @ X65 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl1548,plain,
    ( ( ( c0_1 @ a900 )
      | ~ ( c3_1 @ a900 ) )
   <= ( ! [X65: $i] :
          ( ( c0_1 @ X65 )
          | ~ ( c1_1 @ X65 )
          | ~ ( c3_1 @ X65 ) )
      & ( c1_1 @ a900 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl445,zip_derived_cl371]) ).

thf('219',plain,
    ( ( c0_1 @ a900 )
    | ~ ( c3_1 @ a900 )
    | ~ ! [X65: $i] :
          ( ( c0_1 @ X65 )
          | ~ ( c1_1 @ X65 )
          | ~ ( c3_1 @ X65 ) )
    | ~ ( c1_1 @ a900 ) ),
    inference(split,[status(esa)],[zip_derived_cl1548]) ).

thf('220',plain,
    ( hskp14
    | ! [X51: $i] :
        ( ( c0_1 @ X51 )
        | ~ ( c1_1 @ X51 )
        | ~ ( c2_1 @ X51 ) )
    | hskp7
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl615_129,plain,
    ( ( c1_1 @ a907 )
   <= ( c1_1 @ a907 ) ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl246_130,plain,
    ( ! [X17: $i] :
        ( ~ ( c0_1 @ X17 )
        | ~ ( c1_1 @ X17 )
        | ~ ( c3_1 @ X17 ) )
   <= ! [X17: $i] :
        ( ~ ( c0_1 @ X17 )
        | ~ ( c1_1 @ X17 )
        | ~ ( c3_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl1371,plain,
    ( ( ~ ( c0_1 @ a907 )
      | ~ ( c3_1 @ a907 ) )
   <= ( ! [X17: $i] :
          ( ~ ( c0_1 @ X17 )
          | ~ ( c1_1 @ X17 )
          | ~ ( c3_1 @ X17 ) )
      & ( c1_1 @ a907 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl615,zip_derived_cl246]) ).

thf('221',plain,
    ( ~ ! [X17: $i] :
          ( ~ ( c0_1 @ X17 )
          | ~ ( c1_1 @ X17 )
          | ~ ( c3_1 @ X17 ) )
    | ~ ( c3_1 @ a907 )
    | ~ ( c1_1 @ a907 )
    | ~ ( c0_1 @ a907 ) ),
    inference(split,[status(esa)],[zip_derived_cl1371]) ).

thf(zip_derived_cl10576_131,plain,
    ( ! [X0: $i] :
        ( ( c3_1 @ X0 )
        | ( c0_1 @ X0 )
        | ( c2_1 @ X0 ) )
   <= ! [X76: $i] :
        ( ( c0_1 @ X76 )
        | ( c1_1 @ X76 )
        | ( c2_1 @ X76 ) ) ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl1960,'209']) ).

thf(zip_derived_cl495_132,plain,
    ( ~ ( c2_1 @ a946 )
   <= ~ ( c2_1 @ a946 ) ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf(zip_derived_cl11032,plain,
    ( ( ( c0_1 @ a946 )
      | ( c3_1 @ a946 ) )
   <= ( ~ ( c2_1 @ a946 )
      & ! [X76: $i] :
          ( ( c0_1 @ X76 )
          | ( c1_1 @ X76 )
          | ( c2_1 @ X76 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl10576,zip_derived_cl495]) ).

thf('222',plain,
    ( ( c0_1 @ a946 )
    | ( c2_1 @ a946 )
    | ~ ! [X76: $i] :
          ( ( c0_1 @ X76 )
          | ( c1_1 @ X76 )
          | ( c2_1 @ X76 ) )
    | ( c3_1 @ a946 ) ),
    inference(split,[status(esa)],[zip_derived_cl11032]) ).

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

thf('223',plain,
    ( ! [X76: $i] :
        ( ( c0_1 @ X76 )
        | ( c1_1 @ X76 )
        | ( c2_1 @ X76 ) )
    | ! [X2: $i] :
        ( ( c3_1 @ X2 )
        | ~ ( c1_1 @ X2 )
        | ~ ( c2_1 @ X2 ) )
    | ! [X3: $i] :
        ( ( c3_1 @ X3 )
        | ~ ( c0_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf('224',plain,
    ( ( c0_1 @ a910 )
    | ( c3_1 @ a910 )
    | ~ ! [X70: $i] :
          ( ( c0_1 @ X70 )
          | ( c1_1 @ X70 )
          | ( c3_1 @ X70 ) )
    | ( c1_1 @ a910 ) ),
    inference(split,[status(esa)],[zip_derived_cl1881]) ).

thf('225',plain,
    ( ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 ) )
    | hskp0
    | ! [X20: $i] :
        ( ( c2_1 @ X20 )
        | ( c3_1 @ X20 )
        | ~ ( c0_1 @ X20 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf('226',plain,
    ( hskp18
    | ! [X38: $i] :
        ( ( c1_1 @ X38 )
        | ( c2_1 @ X38 )
        | ~ ( c3_1 @ X38 ) )
    | hskp20
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf('227',plain,
    ( ( c1_1 @ a939 )
    | ( c3_1 @ a939 )
    | ~ ! [X35: $i] :
          ( ( c1_1 @ X35 )
          | ( c3_1 @ X35 )
          | ~ ( c0_1 @ X35 ) )
    | ~ ( c0_1 @ a939 ) ),
    inference(split,[status(esa)],[zip_derived_cl1062]) ).

thf('228',plain,
    ( ! [X39: $i] :
        ( ( c1_1 @ X39 )
        | ( c2_1 @ X39 )
        | ~ ( c0_1 @ X39 ) )
    | hskp9
    | ! [X61: $i] :
        ( ( c0_1 @ X61 )
        | ( c2_1 @ X61 )
        | ( c3_1 @ X61 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf('229',plain,
    ( ( c3_1 @ a907 )
    | ~ ! [X20: $i] :
          ( ( c2_1 @ X20 )
          | ( c3_1 @ X20 )
          | ~ ( c0_1 @ X20 ) )
    | ( c2_1 @ a907 )
    | ~ ( c0_1 @ a907 ) ),
    inference(split,[status(esa)],[zip_derived_cl796]) ).

thf('230',plain,
    ( ~ ( c3_1 @ a937 )
    | ( c0_1 @ a937 )
    | ~ ! [X88: $i] :
          ( ( c0_1 @ X88 )
          | ( c2_1 @ X88 )
          | ~ ( c3_1 @ X88 ) )
    | ( c2_1 @ a937 ) ),
    inference(split,[status(esa)],[zip_derived_cl1828]) ).

thf('231',plain,
    ( hskp6
    | ! [X66: $i] :
        ( ( c0_1 @ X66 )
        | ( c1_1 @ X66 )
        | ~ ( c3_1 @ X66 ) )
    | ~ ndr1_0
    | hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf('232',plain,
    ( hskp5
    | ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ( c3_1 @ X56 )
        | ~ ( c2_1 @ X56 ) )
    | ~ ndr1_0
    | ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c2_1 @ X47 )
        | ~ ( c3_1 @ X47 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl44]) ).

thf('233',plain,
    ( ! [X88: $i] :
        ( ( c0_1 @ X88 )
        | ( c2_1 @ X88 )
        | ~ ( c3_1 @ X88 ) )
    | ! [X76: $i] :
        ( ( c0_1 @ X76 )
        | ( c1_1 @ X76 )
        | ( c2_1 @ X76 ) )
    | ~ ndr1_0
    | ! [X17: $i] :
        ( ~ ( c0_1 @ X17 )
        | ~ ( c1_1 @ X17 )
        | ~ ( c3_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf('234',plain,
    ( ~ ( c0_1 @ a923 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf('235',plain,
    ( ~ ( c1_1 @ a923 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf('236',plain,
    ( ~ ! [X66: $i] :
          ( ( c0_1 @ X66 )
          | ( c1_1 @ X66 )
          | ~ ( c3_1 @ X66 ) )
    | ( c0_1 @ a923 )
    | ( c1_1 @ a923 )
    | ~ ( c3_1 @ a923 ) ),
    inference(split,[status(esa)],[zip_derived_cl1661]) ).

thf('237',plain,
    ( ( c3_1 @ a924 )
    | ~ ! [X70: $i] :
          ( ( c0_1 @ X70 )
          | ( c1_1 @ X70 )
          | ( c3_1 @ X70 ) )
    | ( c1_1 @ a924 )
    | ( c0_1 @ a924 ) ),
    inference(split,[status(esa)],[zip_derived_cl1883]) ).

thf('238',plain,
    ( ~ ( c0_1 @ a937 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl110]) ).

thf('239',plain,
    ( ~ ( c2_1 @ a937 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf('240',plain,
    ( hskp12
    | hskp17
    | ! [X39: $i] :
        ( ( c1_1 @ X39 )
        | ( c2_1 @ X39 )
        | ~ ( c0_1 @ X39 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl31]) ).

thf('241',plain,
    ( hskp18
    | ! [X39: $i] :
        ( ( c1_1 @ X39 )
        | ( c2_1 @ X39 )
        | ~ ( c0_1 @ X39 ) )
    | ~ ndr1_0
    | hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf('242',plain,
    ( ~ ( c1_1 @ a904 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf('243',plain,
    ( ! [X61: $i] :
        ( ( c0_1 @ X61 )
        | ( c2_1 @ X61 )
        | ( c3_1 @ X61 ) )
    | hskp8
    | ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ~ ( c1_1 @ X65 )
        | ~ ( c3_1 @ X65 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf('244',plain,
    ( ~ ! [X65: $i] :
          ( ( c0_1 @ X65 )
          | ~ ( c1_1 @ X65 )
          | ~ ( c3_1 @ X65 ) )
    | ~ ( c1_1 @ a954 )
    | ( c0_1 @ a954 )
    | ~ ( c3_1 @ a954 ) ),
    inference(split,[status(esa)],[zip_derived_cl1546]) ).

thf('245',plain,
    ( ~ ( c2_1 @ a954 )
    | ~ ! [X47: $i] :
          ( ( c0_1 @ X47 )
          | ~ ( c2_1 @ X47 )
          | ~ ( c3_1 @ X47 ) )
    | ( c0_1 @ a954 )
    | ~ ( c3_1 @ a954 ) ),
    inference(split,[status(esa)],[zip_derived_cl4582]) ).

thf('246',plain,
    ( ~ ( c0_1 @ a954 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf('247',plain,
    ( ~ ! [X39: $i] :
          ( ( c1_1 @ X39 )
          | ( c2_1 @ X39 )
          | ~ ( c0_1 @ X39 ) )
    | ( c1_1 @ a904 )
    | ( c2_1 @ a904 )
    | ~ ( c0_1 @ a904 ) ),
    inference(split,[status(esa)],[zip_derived_cl1181]) ).

thf('248',plain,
    ( ~ ( c2_1 @ a901 )
    | ( c1_1 @ a901 )
    | ~ ! [X54: $i] :
          ( ( c1_1 @ X54 )
          | ( c3_1 @ X54 )
          | ~ ( c2_1 @ X54 ) )
    | ( c3_1 @ a901 ) ),
    inference(split,[status(esa)],[zip_derived_cl1492]) ).

thf('249',plain,
    ( ~ ! [X45: $i] :
          ( ( c1_1 @ X45 )
          | ( c2_1 @ X45 )
          | ( c3_1 @ X45 ) )
    | ( c2_1 @ a901 )
    | ( c3_1 @ a901 )
    | ( c1_1 @ a901 ) ),
    inference(split,[status(esa)],[zip_derived_cl1332]) ).

thf('250',plain,
    ( hskp2
    | ! [X56: $i] :
        ( ( c0_1 @ X56 )
        | ( c3_1 @ X56 )
        | ~ ( c2_1 @ X56 ) )
    | hskp0
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf('251',plain,
    ( hskp22
    | ! [X20: $i] :
        ( ( c2_1 @ X20 )
        | ( c3_1 @ X20 )
        | ~ ( c0_1 @ X20 ) )
    | ~ ndr1_0
    | ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c3_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf('252',plain,
    ( ~ ( c1_1 @ a949 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf('253',plain,
    ( ~ ( c0_1 @ a949 )
    | ~ ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ~ ( c0_1 @ X26 )
          | ~ ( c3_1 @ X26 ) )
    | ( c1_1 @ a949 )
    | ~ ( c3_1 @ a949 ) ),
    inference(split,[status(esa)],[zip_derived_cl888]) ).

thf('254',plain,
    ( ~ ! [X47: $i] :
          ( ( c0_1 @ X47 )
          | ~ ( c2_1 @ X47 )
          | ~ ( c3_1 @ X47 ) )
    | ( c0_1 @ a949 )
    | ~ ( c2_1 @ a949 )
    | ~ ( c3_1 @ a949 ) ),
    inference(split,[status(esa)],[zip_derived_cl1405]) ).

thf('255',plain,
    ( ~ ( c1_1 @ a960 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf('256',plain,
    ( ~ ( c3_1 @ a960 )
    | ( c1_1 @ a960 )
    | ~ ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ~ ( c0_1 @ X26 )
          | ~ ( c3_1 @ X26 ) )
    | ~ ( c0_1 @ a960 ) ),
    inference(split,[status(esa)],[zip_derived_cl890]) ).

thf('257',plain,
    ( hskp13
    | ! [X51: $i] :
        ( ( c0_1 @ X51 )
        | ~ ( c1_1 @ X51 )
        | ~ ( c2_1 @ X51 ) )
    | hskp3
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf('258',plain,
    ( ~ ( c2_1 @ a904 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl171]) ).

thf('259',plain,
    ( ~ ( c0_1 @ a910 )
    | ( c1_1 @ a910 )
    | ~ ! [X35: $i] :
          ( ( c1_1 @ X35 )
          | ( c3_1 @ X35 )
          | ~ ( c0_1 @ X35 ) )
    | ( c3_1 @ a910 ) ),
    inference(split,[status(esa)],[zip_derived_cl1058]) ).

thf('260',plain,
    ( hskp27
    | ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ( c3_1 @ X12 )
        | ~ ( c1_1 @ X12 ) )
    | ~ ndr1_0
    | ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ~ ( c0_1 @ X31 )
        | ~ ( c2_1 @ X31 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf('261',plain,
    ( ! [X26: $i] :
        ( ( c1_1 @ X26 )
        | ~ ( c0_1 @ X26 )
        | ~ ( c3_1 @ X26 ) )
    | hskp1
    | ~ ndr1_0
    | ! [X17: $i] :
        ( ~ ( c0_1 @ X17 )
        | ~ ( c1_1 @ X17 )
        | ~ ( c3_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf('262',plain,
    ( ~ ( c3_1 @ a912 )
    | ~ ! [X5: $i] :
          ( ( c2_1 @ X5 )
          | ~ ( c1_1 @ X5 )
          | ~ ( c3_1 @ X5 ) )
    | ~ ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ~ ( c0_1 @ X31 )
          | ~ ( c2_1 @ X31 ) )
    | ~ ! [X26: $i] :
          ( ( c1_1 @ X26 )
          | ~ ( c0_1 @ X26 )
          | ~ ( c3_1 @ X26 ) )
    | ~ ( c0_1 @ a912 )
    | ~ ! [X0: $i] :
          ( ~ ( c1_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl3282,zip_derived_cl2866]) ).

thf('263',plain,
    ( ~ ( c3_1 @ a912 )
    | ~ ! [X47: $i] :
          ( ( c0_1 @ X47 )
          | ~ ( c2_1 @ X47 )
          | ~ ( c3_1 @ X47 ) )
    | ( c0_1 @ a912 )
    | ~ ( c2_1 @ a912 ) ),
    inference(split,[status(esa)],[zip_derived_cl1400]) ).

thf('264',plain,
    ( hskp23
    | hskp1
    | ~ ndr1_0
    | ! [X20: $i] :
        ( ( c2_1 @ X20 )
        | ( c3_1 @ X20 )
        | ~ ( c0_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf('265',plain,
    ( ~ ( c3_1 @ a924 )
    | ~ ! [X47: $i] :
          ( ( c0_1 @ X47 )
          | ~ ( c2_1 @ X47 )
          | ~ ( c3_1 @ X47 ) )
    | ~ ( c2_1 @ a924 )
    | ( c0_1 @ a924 ) ),
    inference(split,[status(esa)],[zip_derived_cl1402]) ).

thf('266',plain,
    ( ( c3_1 @ a942 )
    | ~ ( c0_1 @ a942 )
    | ~ ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 ) )
    | ~ ( c1_1 @ a942 ) ),
    inference(split,[status(esa)],[zip_derived_cl1086]) ).

thf('267',plain,
    ( ( c0_1 @ a938 )
    | ~ ( c2_1 @ a938 )
    | ~ ! [X47: $i] :
          ( ( c0_1 @ X47 )
          | ~ ( c2_1 @ X47 )
          | ~ ( c3_1 @ X47 ) )
    | ~ ( c3_1 @ a938 ) ),
    inference(split,[status(esa)],[zip_derived_cl1404]) ).

thf('268',plain,
    ( ~ ( c3_1 @ a905 )
    | ( c0_1 @ a905 )
    | ~ ! [X88: $i] :
          ( ( c0_1 @ X88 )
          | ( c2_1 @ X88 )
          | ~ ( c3_1 @ X88 ) )
    | ( c2_1 @ a905 ) ),
    inference(split,[status(esa)],[zip_derived_cl1817]) ).

thf(zip_derived_cl363_133,plain,
    ( ! [X61: $i] :
        ( ( c0_1 @ X61 )
        | ( c2_1 @ X61 )
        | ( c3_1 @ X61 ) )
   <= ! [X61: $i] :
        ( ( c0_1 @ X61 )
        | ( c2_1 @ X61 )
        | ( c3_1 @ X61 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl986_134,plain,
    ( ~ ( c2_1 @ a901 )
   <= ~ ( c2_1 @ a901 ) ),
    inference(split,[status(esa)],[zip_derived_cl949]) ).

thf(zip_derived_cl1699,plain,
    ( ( ( c3_1 @ a901 )
      | ( c0_1 @ a901 ) )
   <= ( ~ ( c2_1 @ a901 )
      & ! [X61: $i] :
          ( ( c0_1 @ X61 )
          | ( c2_1 @ X61 )
          | ( c3_1 @ X61 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl363,zip_derived_cl986]) ).

thf('269',plain,
    ( ~ ! [X61: $i] :
          ( ( c0_1 @ X61 )
          | ( c2_1 @ X61 )
          | ( c3_1 @ X61 ) )
    | ( c2_1 @ a901 )
    | ( c0_1 @ a901 )
    | ( c3_1 @ a901 ) ),
    inference(split,[status(esa)],[zip_derived_cl1699]) ).

thf('270',plain,
    ( ( c0_1 @ a901 )
    | ( c1_1 @ a901 )
    | ~ ! [X70: $i] :
          ( ( c0_1 @ X70 )
          | ( c1_1 @ X70 )
          | ( c3_1 @ X70 ) )
    | ( c3_1 @ a901 ) ),
    inference(split,[status(esa)],[zip_derived_cl1878]) ).

thf('271',plain,
    ( ! [X61: $i] :
        ( ( c0_1 @ X61 )
        | ( c2_1 @ X61 )
        | ( c3_1 @ X61 ) )
    | ! [X70: $i] :
        ( ( c0_1 @ X70 )
        | ( c1_1 @ X70 )
        | ( c3_1 @ X70 ) )
    | ~ ndr1_0
    | ! [X20: $i] :
        ( ( c2_1 @ X20 )
        | ( c3_1 @ X20 )
        | ~ ( c0_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf('272',plain,
    ( ! [X31: $i] :
        ( ( c1_1 @ X31 )
        | ~ ( c0_1 @ X31 )
        | ~ ( c2_1 @ X31 ) )
    | hskp0
    | ~ ndr1_0
    | ! [X11: $i] :
        ( ( c2_1 @ X11 )
        | ~ ( c0_1 @ X11 )
        | ~ ( c1_1 @ X11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf('273',plain,
    ( ~ ( c2_1 @ a902 )
    | ( c1_1 @ a902 )
    | ~ ! [X31: $i] :
          ( ( c1_1 @ X31 )
          | ~ ( c0_1 @ X31 )
          | ~ ( c2_1 @ X31 ) )
    | ~ ( c0_1 @ a902 ) ),
    inference(split,[status(esa)],[zip_derived_cl950]) ).

thf('274',plain,
    ( hskp10
    | hskp1
    | ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c0_1 @ X7 )
        | ~ ( c3_1 @ X7 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf('275',plain,
    ( ~ ( c0_1 @ a912 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf('276',plain,
    ( ~ ! [X51: $i] :
          ( ( c0_1 @ X51 )
          | ~ ( c1_1 @ X51 )
          | ~ ( c2_1 @ X51 ) )
    | ~ ( c1_1 @ a912 )
    | ( c0_1 @ a912 )
    | ~ ( c2_1 @ a912 ) ),
    inference(split,[status(esa)],[zip_derived_cl1437]) ).

thf('277',plain,
    ( ! [X54: $i] :
        ( ( c1_1 @ X54 )
        | ( c3_1 @ X54 )
        | ~ ( c2_1 @ X54 ) )
    | ! [X51: $i] :
        ( ( c0_1 @ X51 )
        | ~ ( c1_1 @ X51 )
        | ~ ( c2_1 @ X51 ) )
    | ~ ndr1_0
    | ! [X5: $i] :
        ( ( c2_1 @ X5 )
        | ~ ( c1_1 @ X5 )
        | ~ ( c3_1 @ X5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf('278',plain,
    ( ( c1_1 @ a910 )
    | ( c3_1 @ a910 )
    | ~ ! [X54: $i] :
          ( ( c1_1 @ X54 )
          | ( c3_1 @ X54 )
          | ~ ( c2_1 @ X54 ) )
    | ~ ( c2_1 @ a910 ) ),
    inference(split,[status(esa)],[zip_derived_cl1495]) ).

thf(zip_derived_cl28,plain,
    ! [X36: $i,X37: $i] :
      ( ( c1_1 @ X36 )
      | ( c3_1 @ X36 )
      | ~ ( c0_1 @ X36 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X37 )
      | ~ ( c2_1 @ X37 )
      | ~ ( c3_1 @ X37 )
      | ~ ndr1_0
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('279',plain,
    ( hskp9
    | ! [X1: $i] :
        ( ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 )
        | ~ ( c3_1 @ X1 ) )
    | ! [X35: $i] :
        ( ( c1_1 @ X35 )
        | ( c3_1 @ X35 )
        | ~ ( c0_1 @ X35 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl12478,plain,
    $false,
    inference('sat_resolution*',[status(thm)],['0','1','2','3','210','211','212','213','214','215','216','217','218','219','220','221','222','223','224','5','6','225','226','11','227','13','14','228','16','17','18','19','20','229','22','230','24','25','26','27','231','29','30','232','32','33','34','35','36','37','38','233','40','234','235','236','44','45','46','48','49','50','237','52','53','238','239','56','240','241','59','60','242','62','63','64','65','66','243','244','69','70','71','72','73','245','246','247','77','79','248','249','250','87','88','89','90','91','92','251','95','252','253','98','99','254','101','102','255','256','105','106','208','107','108','109','110','111','257','114','115','258','117','259','122','123','124','125','126','127','260','129','130','131','261','133','134','137','138','139','140','141','142','143','144','146','147','148','149','150','151','152','153','154','155','262','263','161','162','264','168','169','170','171','172','173','265','175','176','177','178','179','180','181','266','183','188','189','190','191','193','194','195','196','197','198','199','200','267','268','203','204','205','206','207','184','185','186','187','269','93','135','136','145','270','8','81','82','271','272','164','165','166','273','274','112','157','275','276','277','119','120','121','278','279']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SYN455+1 : TPTP v8.1.2. Released v2.1.0.
% 0.10/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.yu6lElTwf7 true
% 0.13/0.34  % Computer : n017.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sat Aug 26 19:15:41 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.20/0.64  % Total configuration time : 435
% 0.20/0.64  % Estimated wc time : 1092
% 0.20/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.21/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 12.02/2.36  % Solved by fo/fo1_av.sh.
% 12.02/2.36  % done 3509 iterations in 1.579s
% 12.02/2.36  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 12.02/2.36  % SZS output start Refutation
% See solution above
% 12.48/2.37  
% 12.48/2.37  
% 12.48/2.37  % Terminating...
% 12.48/2.46  % Runner terminated.
% 12.48/2.48  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------