TSTP Solution File: SYN474+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN474+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.Q4oiyrIVaJ true

% Computer : n014.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 04:03:53 EDT 2023

% Result   : Theorem 9.88s 1.99s
% Output   : Refutation 9.88s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   70
% Syntax   : Number of formulae    :  970 (   1 unt;  69 typ;   0 def)
%            Number of atoms       : 5836 (   0 equ;   0 cnn)
%            Maximal formula atoms :  714 (   6 avg)
%            Number of connectives : 12738 (3102   ~;3748   |; 554   &;4701   @)
%                                         (   0 <=>; 226  =>; 407  <=;   0 <~>)
%            Maximal formula depth :  107 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   70 (  69 usr;  66 con; 0-1 aty)
%            Number of variables   : 1081 (   0   ^;1081   !;   0   ?;1081   :)

% Comments : 
%------------------------------------------------------------------------------
thf(a903_type,type,
    a903: $i ).

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

thf(a919_type,type,
    a919: $i ).

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

thf(a950_type,type,
    a950: $i ).

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

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

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

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

thf(a898_type,type,
    a898: $i ).

thf(hskp31_type,type,
    hskp31: $o ).

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

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

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

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

thf(a899_type,type,
    a899: $i ).

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

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

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

thf(a930_type,type,
    a930: $i ).

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

thf(a911_type,type,
    a911: $i ).

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

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

thf(a910_type,type,
    a910: $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(a957_type,type,
    a957: $i ).

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

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

thf(a913_type,type,
    a913: $i ).

thf(a929_type,type,
    a929: $i ).

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

thf(a969_type,type,
    a969: $i ).

thf(a928_type,type,
    a928: $i ).

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

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

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

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

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

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

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

thf(a958_type,type,
    a958: $i ).

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

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

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

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

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

thf(a918_type,type,
    a918: $i ).

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

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

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

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

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

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

thf(a953_type,type,
    a953: $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(c3_1_type,type,
    c3_1: $i > $o ).

thf(a978_type,type,
    a978: $i ).

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

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

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

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

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

thf(co1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & ( c0_1 @ a898 )
          & ( c1_1 @ a898 )
          & ~ ( c2_1 @ a898 ) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & ( c1_1 @ a899 )
          & ( c2_1 @ a899 )
          & ~ ( c0_1 @ a899 ) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & ~ ( c0_1 @ a901 )
          & ~ ( c2_1 @ a901 )
          & ~ ( c3_1 @ a901 ) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & ( c0_1 @ a903 )
          & ( c2_1 @ a903 )
          & ~ ( c3_1 @ a903 ) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & ( c2_1 @ a904 )
          & ~ ( c1_1 @ a904 )
          & ~ ( c3_1 @ a904 ) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & ( c1_1 @ a905 )
          & ( c3_1 @ a905 )
          & ~ ( c0_1 @ a905 ) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & ( c2_1 @ a906 )
          & ( c3_1 @ a906 )
          & ~ ( c1_1 @ a906 ) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & ( c3_1 @ a907 )
          & ~ ( c0_1 @ a907 )
          & ~ ( c1_1 @ a907 ) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & ( c3_1 @ a908 )
          & ~ ( c0_1 @ a908 )
          & ~ ( c2_1 @ a908 ) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & ~ ( c0_1 @ a909 )
          & ~ ( c1_1 @ a909 )
          & ~ ( c2_1 @ a909 ) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & ( c1_1 @ a910 )
          & ~ ( c0_1 @ a910 )
          & ~ ( c2_1 @ a910 ) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & ~ ( c1_1 @ a912 )
          & ~ ( c2_1 @ a912 )
          & ~ ( c3_1 @ a912 ) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & ( c0_1 @ a913 )
          & ~ ( c1_1 @ a913 )
          & ~ ( c3_1 @ a913 ) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & ( c3_1 @ a914 )
          & ~ ( c1_1 @ a914 )
          & ~ ( c2_1 @ a914 ) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & ( c0_1 @ a918 )
          & ( c3_1 @ a918 )
          & ~ ( c1_1 @ a918 ) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & ( c0_1 @ a921 )
          & ( c1_1 @ a921 )
          & ~ ( c3_1 @ a921 ) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & ( c1_1 @ a923 )
          & ( c2_1 @ a923 )
          & ~ ( c3_1 @ a923 ) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & ( c1_1 @ a928 )
          & ~ ( c2_1 @ a928 )
          & ~ ( c3_1 @ a928 ) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & ( c0_1 @ a929 )
          & ( c2_1 @ a929 )
          & ~ ( c1_1 @ a929 ) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & ( c2_1 @ a930 )
          & ~ ( c0_1 @ a930 )
          & ~ ( c1_1 @ a930 ) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & ( c2_1 @ a937 )
          & ~ ( c0_1 @ a937 )
          & ~ ( c3_1 @ a937 ) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & ( c0_1 @ a938 )
          & ~ ( c2_1 @ a938 )
          & ~ ( c3_1 @ a938 ) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & ( c1_1 @ a939 )
          & ~ ( c0_1 @ a939 )
          & ~ ( c3_1 @ a939 ) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & ( c0_1 @ a950 )
          & ( c3_1 @ a950 )
          & ~ ( c2_1 @ a950 ) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & ( c1_1 @ a953 )
          & ( c3_1 @ a953 )
          & ~ ( c2_1 @ a953 ) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & ~ ( c0_1 @ a958 )
          & ~ ( c1_1 @ a958 )
          & ~ ( c3_1 @ a958 ) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & ( c0_1 @ a969 )
          & ~ ( c1_1 @ a969 )
          & ~ ( c2_1 @ a969 ) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & ( c2_1 @ a978 )
          & ( c3_1 @ a978 )
          & ~ ( c0_1 @ a978 ) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & ( c0_1 @ a900 )
          & ( c2_1 @ a900 )
          & ( c3_1 @ a900 ) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & ( c0_1 @ a911 )
          & ( c1_1 @ a911 )
          & ( c3_1 @ a911 ) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & ( c0_1 @ a919 )
          & ( c1_1 @ a919 )
          & ( c2_1 @ a919 ) ) )
      & ( ~ hskp31
        | ( ndr1_0
          & ( c1_1 @ a957 )
          & ( c2_1 @ a957 )
          & ( c3_1 @ a957 ) ) )
      & ( ! [U: $i] :
            ( ndr1_0
           => ( ( c0_1 @ U )
              | ( c1_1 @ U )
              | ( c2_1 @ U ) ) )
        | ! [V: $i] :
            ( ndr1_0
           => ( ( c1_1 @ V )
              | ( c3_1 @ V )
              | ~ ( c2_1 @ V ) ) )
        | ! [W: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ W )
              | ~ ( c2_1 @ W )
              | ~ ( c3_1 @ W ) ) ) )
      & ( ! [X: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X )
              | ( c1_1 @ X )
              | ( c2_1 @ X ) ) )
        | hskp0
        | hskp1 )
      & ( ! [Y: $i] :
            ( ndr1_0
           => ( ( c0_1 @ Y )
              | ( c1_1 @ Y )
              | ( c3_1 @ Y ) ) )
        | ! [Z: $i] :
            ( ndr1_0
           => ( ( c0_1 @ Z )
              | ( c2_1 @ Z )
              | ~ ( c3_1 @ Z ) ) )
        | ! [X1: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X1 )
              | ( c2_1 @ X1 )
              | ~ ( c3_1 @ X1 ) ) ) )
      & ( ! [X2: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X2 )
              | ( c1_1 @ X2 )
              | ( c3_1 @ X2 ) ) )
        | hskp28
        | hskp2 )
      & ( ! [X3: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X3 )
              | ( c1_1 @ X3 )
              | ~ ( c2_1 @ X3 ) ) )
        | ! [X4: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X4 )
              | ~ ( c0_1 @ X4 )
              | ~ ( c1_1 @ X4 ) ) )
        | hskp1 )
      & ( ! [X5: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X5 )
              | ( c1_1 @ X5 )
              | ~ ( c3_1 @ X5 ) ) )
        | ! [X6: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X6 )
              | ~ ( c0_1 @ X6 )
              | ~ ( c2_1 @ X6 ) ) )
        | hskp3 )
      & ( ! [X7: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X7 )
              | ( c1_1 @ X7 )
              | ~ ( c3_1 @ X7 ) ) )
        | ! [X8: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X8 )
              | ~ ( c0_1 @ X8 )
              | ~ ( c3_1 @ X8 ) ) )
        | hskp4 )
      & ( ! [X9: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X9 )
              | ( c1_1 @ X9 )
              | ~ ( c3_1 @ X9 ) ) )
        | hskp5
        | hskp6 )
      & ( ! [X10: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X10 )
              | ( c1_1 @ X10 )
              | ~ ( c3_1 @ X10 ) ) )
        | hskp7
        | hskp8 )
      & ( ! [X11: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X11 )
              | ( c2_1 @ X11 )
              | ( c3_1 @ X11 ) ) )
        | ! [X12: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X12 )
              | ( c2_1 @ X12 )
              | ( c3_1 @ X12 ) ) )
        | hskp9 )
      & ( ! [X13: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X13 )
              | ( c2_1 @ X13 )
              | ( c3_1 @ X13 ) ) )
        | ! [X14: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X14 )
              | ~ ( c2_1 @ X14 )
              | ~ ( c3_1 @ X14 ) ) )
        | ! [X15: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X15 )
              | ~ ( c0_1 @ X15 )
              | ~ ( c2_1 @ X15 ) ) ) )
      & ( ! [X16: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X16 )
              | ( c2_1 @ X16 )
              | ~ ( c1_1 @ X16 ) ) )
        | ! [X17: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X17 )
              | ~ ( c2_1 @ X17 )
              | ~ ( c3_1 @ X17 ) ) )
        | ! [X18: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X18 )
              | ( c2_1 @ X18 )
              | ( c3_1 @ X18 ) ) ) )
      & ( ! [X19: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X19 )
              | ( c2_1 @ X19 )
              | ~ ( c1_1 @ X19 ) ) )
        | ! [X20: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X20 )
              | ( c2_1 @ X20 )
              | ( c3_1 @ X20 ) ) )
        | hskp10 )
      & ( ! [X21: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X21 )
              | ( c2_1 @ X21 )
              | ~ ( c1_1 @ X21 ) ) )
        | ! [X22: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X22 )
              | ~ ( c0_1 @ X22 )
              | ~ ( c1_1 @ X22 ) ) )
        | hskp29 )
      & ( ! [X23: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X23 )
              | ( c2_1 @ X23 )
              | ~ ( c1_1 @ X23 ) ) )
        | ! [X24: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X24 )
              | ~ ( c1_1 @ X24 )
              | ~ ( c3_1 @ X24 ) ) )
        | hskp11 )
      & ( ! [X25: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X25 )
              | ( c2_1 @ X25 )
              | ~ ( c1_1 @ X25 ) ) )
        | hskp12
        | hskp13 )
      & ( ! [X26: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X26 )
              | ( c2_1 @ X26 )
              | ~ ( c3_1 @ X26 ) ) )
        | ! [X27: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X27 )
              | ( c3_1 @ X27 )
              | ~ ( c2_1 @ X27 ) ) )
        | ! [X28: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X28 )
              | ~ ( c1_1 @ X28 )
              | ~ ( c3_1 @ X28 ) ) ) )
      & ( ! [X29: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X29 )
              | ( c2_1 @ X29 )
              | ~ ( c3_1 @ X29 ) ) )
        | ! [X30: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X30 )
              | ~ ( c0_1 @ X30 )
              | ~ ( c3_1 @ X30 ) ) )
        | ! [X31: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X31 )
              | ~ ( c0_1 @ X31 )
              | ~ ( c1_1 @ X31 ) ) ) )
      & ( ! [X32: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X32 )
              | ( c2_1 @ X32 )
              | ~ ( c3_1 @ X32 ) ) )
        | ! [X33: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X33 )
              | ( c3_1 @ X33 )
              | ~ ( c1_1 @ X33 ) ) )
        | hskp8 )
      & ( ! [X34: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X34 )
              | ( c2_1 @ X34 )
              | ~ ( c3_1 @ X34 ) ) )
        | ! [X35: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X35 )
              | ~ ( c0_1 @ X35 )
              | ~ ( c1_1 @ X35 ) ) )
        | hskp4 )
      & ( ! [X36: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X36 )
              | ( c2_1 @ X36 )
              | ~ ( c3_1 @ X36 ) ) )
        | ! [X37: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X37 )
              | ~ ( c0_1 @ X37 )
              | ~ ( c2_1 @ X37 ) ) )
        | hskp12 )
      & ( ! [X38: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X38 )
              | ( c2_1 @ X38 )
              | ~ ( c3_1 @ X38 ) ) )
        | ! [X39: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X39 )
              | ~ ( c1_1 @ X39 )
              | ~ ( c2_1 @ X39 ) ) )
        | hskp14 )
      & ( ! [X40: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X40 )
              | ( c2_1 @ X40 )
              | ~ ( c3_1 @ X40 ) ) )
        | hskp30
        | hskp1 )
      & ( ! [X41: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X41 )
              | ( c2_1 @ X41 )
              | ~ ( c3_1 @ X41 ) ) )
        | hskp15
        | hskp5 )
      & ( ! [X42: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X42 )
              | ( c2_1 @ X42 )
              | ~ ( c3_1 @ X42 ) ) )
        | hskp16
        | hskp9 )
      & ( ! [X43: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X43 )
              | ( c3_1 @ X43 )
              | ~ ( c1_1 @ X43 ) ) )
        | ! [X44: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X44 )
              | ~ ( c2_1 @ X44 )
              | ~ ( c3_1 @ X44 ) ) )
        | ! [X45: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X45 )
              | ( c3_1 @ X45 )
              | ~ ( c2_1 @ X45 ) ) ) )
      & ( ! [X46: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X46 )
              | ( c3_1 @ X46 )
              | ~ ( c1_1 @ X46 ) ) )
        | hskp4
        | hskp7 )
      & ( ! [X47: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X47 )
              | ( c3_1 @ X47 )
              | ~ ( c2_1 @ X47 ) ) )
        | hskp0
        | hskp17 )
      & ( ! [X48: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X48 )
              | ( c3_1 @ X48 )
              | ~ ( c2_1 @ X48 ) ) )
        | hskp18
        | hskp19 )
      & ( ! [X49: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X49 )
              | ~ ( c1_1 @ X49 )
              | ~ ( c2_1 @ X49 ) ) )
        | ! [X50: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X50 )
              | ( c3_1 @ X50 )
              | ~ ( c0_1 @ X50 ) ) )
        | hskp14 )
      & ( ! [X51: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X51 )
              | ~ ( c1_1 @ X51 )
              | ~ ( c2_1 @ X51 ) ) )
        | ! [X52: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X52 )
              | ~ ( c0_1 @ X52 )
              | ~ ( c2_1 @ X52 ) ) )
        | hskp15 )
      & ( ! [X53: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X53 )
              | ~ ( c1_1 @ X53 )
              | ~ ( c2_1 @ X53 ) ) )
        | ! [X54: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X54 )
              | ~ ( c1_1 @ X54 )
              | ~ ( c3_1 @ X54 ) ) )
        | hskp9 )
      & ( ! [X55: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X55 )
              | ~ ( c1_1 @ X55 )
              | ~ ( c3_1 @ X55 ) ) )
        | ! [X56: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X56 )
              | ~ ( c0_1 @ X56 )
              | ~ ( c2_1 @ X56 ) ) )
        | hskp14 )
      & ( ! [X57: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X57 )
              | ~ ( c1_1 @ X57 )
              | ~ ( c3_1 @ X57 ) ) )
        | hskp12
        | hskp10 )
      & ( ! [X58: $i] :
            ( ndr1_0
           => ( ( c0_1 @ X58 )
              | ~ ( c2_1 @ X58 )
              | ~ ( c3_1 @ X58 ) ) )
        | ! [X59: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X59 )
              | ( c2_1 @ X59 )
              | ~ ( c3_1 @ X59 ) ) )
        | ! [X60: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X60 )
              | ( c3_1 @ X60 )
              | ~ ( c1_1 @ X60 ) ) ) )
      & ( ! [X61: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X61 )
              | ( c2_1 @ X61 )
              | ( c3_1 @ X61 ) ) )
        | ! [X62: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X62 )
              | ~ ( c0_1 @ X62 )
              | ~ ( c2_1 @ X62 ) ) )
        | hskp20 )
      & ( ! [X63: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X63 )
              | ( c2_1 @ X63 )
              | ( c3_1 @ X63 ) ) )
        | ! [X64: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X64 )
              | ~ ( c1_1 @ X64 )
              | ~ ( c2_1 @ X64 ) ) )
        | hskp21 )
      & ( ! [X65: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X65 )
              | ( c2_1 @ X65 )
              | ~ ( c0_1 @ X65 ) ) )
        | ! [X66: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X66 )
              | ~ ( c2_1 @ X66 )
              | ~ ( c3_1 @ X66 ) ) )
        | hskp22 )
      & ( ! [X67: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X67 )
              | ( c2_1 @ X67 )
              | ~ ( c0_1 @ X67 ) ) )
        | ! [X68: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X68 )
              | ~ ( c0_1 @ X68 )
              | ~ ( c3_1 @ X68 ) ) )
        | hskp22 )
      & ( ! [X69: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X69 )
              | ( c2_1 @ X69 )
              | ~ ( c0_1 @ X69 ) ) )
        | ! [X70: $i] :
            ( ndr1_0
           => ( ~ ( c1_1 @ X70 )
              | ~ ( c2_1 @ X70 )
              | ~ ( c3_1 @ X70 ) ) )
        | hskp1 )
      & ( ! [X71: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X71 )
              | ( c2_1 @ X71 )
              | ~ ( c3_1 @ X71 ) ) )
        | ! [X72: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X72 )
              | ( c3_1 @ X72 )
              | ~ ( c2_1 @ X72 ) ) )
        | hskp12 )
      & ( ! [X73: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X73 )
              | ( c2_1 @ X73 )
              | ~ ( c3_1 @ X73 ) ) )
        | ! [X74: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X74 )
              | ( c3_1 @ X74 )
              | ~ ( c1_1 @ X74 ) ) )
        | hskp18 )
      & ( ! [X75: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X75 )
              | ( c3_1 @ X75 )
              | ~ ( c0_1 @ X75 ) ) )
        | hskp18
        | hskp12 )
      & ( ! [X76: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X76 )
              | ( c3_1 @ X76 )
              | ~ ( c2_1 @ X76 ) ) )
        | ! [X77: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X77 )
              | ~ ( c0_1 @ X77 )
              | ~ ( c1_1 @ X77 ) ) )
        | hskp21 )
      & ( ! [X78: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X78 )
              | ( c3_1 @ X78 )
              | ~ ( c2_1 @ X78 ) ) )
        | hskp29
        | hskp15 )
      & ( ! [X79: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X79 )
              | ~ ( c0_1 @ X79 )
              | ~ ( c2_1 @ X79 ) ) )
        | ! [X80: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X80 )
              | ( c3_1 @ X80 )
              | ~ ( c0_1 @ X80 ) ) )
        | ! [X81: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X81 )
              | ~ ( c1_1 @ X81 )
              | ~ ( c3_1 @ X81 ) ) ) )
      & ( ! [X82: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X82 )
              | ~ ( c0_1 @ X82 )
              | ~ ( c2_1 @ X82 ) ) )
        | ! [X83: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X83 )
              | ~ ( c0_1 @ X83 )
              | ~ ( c1_1 @ X83 ) ) )
        | hskp7 )
      & ( ! [X84: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X84 )
              | ~ ( c0_1 @ X84 )
              | ~ ( c2_1 @ X84 ) ) )
        | ! [X85: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X85 )
              | ~ ( c2_1 @ X85 )
              | ~ ( c3_1 @ X85 ) ) )
        | hskp23 )
      & ( ! [X86: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X86 )
              | ~ ( c0_1 @ X86 )
              | ~ ( c3_1 @ X86 ) ) )
        | ! [X87: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X87 )
              | ( c3_1 @ X87 )
              | ~ ( c0_1 @ X87 ) ) )
        | hskp18 )
      & ( ! [X88: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X88 )
              | ~ ( c2_1 @ X88 )
              | ~ ( c3_1 @ X88 ) ) )
        | ! [X89: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X89 )
              | ~ ( c1_1 @ X89 )
              | ~ ( c3_1 @ X89 ) ) )
        | hskp28 )
      & ( ! [X90: $i] :
            ( ndr1_0
           => ( ( c1_1 @ X90 )
              | ~ ( c2_1 @ X90 )
              | ~ ( c3_1 @ X90 ) ) )
        | hskp24
        | hskp17 )
      & ( ! [X91: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X91 )
              | ( c3_1 @ X91 )
              | ~ ( c0_1 @ X91 ) ) )
        | hskp10
        | hskp7 )
      & ( ! [X92: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X92 )
              | ( c3_1 @ X92 )
              | ~ ( c1_1 @ X92 ) ) )
        | ! [X93: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X93 )
              | ~ ( c0_1 @ X93 )
              | ~ ( c1_1 @ X93 ) ) )
        | hskp31 )
      & ( ! [X94: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X94 )
              | ( c3_1 @ X94 )
              | ~ ( c1_1 @ X94 ) ) )
        | hskp25 )
      & ( ! [X95: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X95 )
              | ~ ( c0_1 @ X95 )
              | ~ ( c1_1 @ X95 ) ) )
        | hskp1
        | hskp20 )
      & ( ! [X96: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X96 )
              | ~ ( c0_1 @ X96 )
              | ~ ( c3_1 @ X96 ) ) )
        | ! [X97: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X97 )
              | ~ ( c2_1 @ X97 )
              | ~ ( c3_1 @ X97 ) ) )
        | hskp0 )
      & ( ! [X98: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X98 )
              | ~ ( c0_1 @ X98 )
              | ~ ( c3_1 @ X98 ) ) )
        | hskp1
        | hskp5 )
      & ( ! [X99: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X99 )
              | ~ ( c1_1 @ X99 )
              | ~ ( c3_1 @ X99 ) ) )
        | hskp12
        | hskp6 )
      & ( ! [X100: $i] :
            ( ndr1_0
           => ( ( c2_1 @ X100 )
              | ~ ( c1_1 @ X100 )
              | ~ ( c3_1 @ X100 ) ) )
        | hskp1
        | hskp13 )
      & ( ! [X101: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X101 )
              | ~ ( c0_1 @ X101 )
              | ~ ( c1_1 @ X101 ) ) )
        | ! [X102: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X102 )
              | ~ ( c2_1 @ X102 )
              | ~ ( c3_1 @ X102 ) ) )
        | hskp21 )
      & ( ! [X103: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X103 )
              | ~ ( c0_1 @ X103 )
              | ~ ( c1_1 @ X103 ) ) )
        | hskp26
        | hskp17 )
      & ( ! [X104: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X104 )
              | ~ ( c0_1 @ X104 )
              | ~ ( c2_1 @ X104 ) ) )
        | ! [X105: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X105 )
              | ~ ( c1_1 @ X105 )
              | ~ ( c2_1 @ X105 ) ) )
        | hskp9 )
      & ( ! [X106: $i] :
            ( ndr1_0
           => ( ( c3_1 @ X106 )
              | ~ ( c0_1 @ X106 )
              | ~ ( c2_1 @ X106 ) ) )
        | hskp16
        | hskp10 )
      & ( ! [X107: $i] :
            ( ndr1_0
           => ( ~ ( c0_1 @ X107 )
              | ~ ( c2_1 @ X107 )
              | ~ ( c3_1 @ X107 ) ) )
        | hskp13
        | hskp2 )
      & ( hskp29
        | hskp31
        | hskp27 )
      & ( hskp0
        | hskp12
        | hskp9 )
      & ( hskp0
        | hskp21
        | hskp25 )
      & ( hskp15
        | hskp22
        | hskp19 )
      & ( hskp28
        | hskp22
        | hskp17 )
      & ( hskp3
        | hskp24
        | hskp25 )
      & ( hskp23
        | hskp26
        | hskp22 )
      & ( hskp27
        | hskp7
        | hskp9 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( ~ hskp0
      | ( ndr1_0
        & ( c0_1 @ a898 )
        & ( c1_1 @ a898 )
        & ~ ( c2_1 @ a898 ) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ( c1_1 @ a899 )
        & ( c2_1 @ a899 )
        & ~ ( c0_1 @ a899 ) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ~ ( c0_1 @ a901 )
        & ~ ( c2_1 @ a901 )
        & ~ ( c3_1 @ a901 ) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ( c0_1 @ a903 )
        & ( c2_1 @ a903 )
        & ~ ( c3_1 @ a903 ) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ( c2_1 @ a904 )
        & ~ ( c1_1 @ a904 )
        & ~ ( c3_1 @ a904 ) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ( c1_1 @ a905 )
        & ( c3_1 @ a905 )
        & ~ ( c0_1 @ a905 ) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ( c2_1 @ a906 )
        & ( c3_1 @ a906 )
        & ~ ( c1_1 @ a906 ) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & ( c3_1 @ a907 )
        & ~ ( c0_1 @ a907 )
        & ~ ( c1_1 @ a907 ) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ( c3_1 @ a908 )
        & ~ ( c0_1 @ a908 )
        & ~ ( c2_1 @ a908 ) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ~ ( c0_1 @ a909 )
        & ~ ( c1_1 @ a909 )
        & ~ ( c2_1 @ a909 ) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ( c1_1 @ a910 )
        & ~ ( c0_1 @ a910 )
        & ~ ( c2_1 @ a910 ) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ~ ( c1_1 @ a912 )
        & ~ ( c2_1 @ a912 )
        & ~ ( c3_1 @ a912 ) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ( c0_1 @ a913 )
        & ~ ( c1_1 @ a913 )
        & ~ ( c3_1 @ a913 ) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & ( c3_1 @ a914 )
        & ~ ( c1_1 @ a914 )
        & ~ ( c2_1 @ a914 ) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ( c0_1 @ a918 )
        & ( c3_1 @ a918 )
        & ~ ( c1_1 @ a918 ) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & ( c0_1 @ a921 )
        & ( c1_1 @ a921 )
        & ~ ( c3_1 @ a921 ) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & ( c1_1 @ a923 )
        & ( c2_1 @ a923 )
        & ~ ( c3_1 @ a923 ) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ( c1_1 @ a928 )
        & ~ ( c2_1 @ a928 )
        & ~ ( c3_1 @ a928 ) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ( c0_1 @ a929 )
        & ( c2_1 @ a929 )
        & ~ ( c1_1 @ a929 ) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ( c2_1 @ a930 )
        & ~ ( c0_1 @ a930 )
        & ~ ( c1_1 @ a930 ) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ( c2_1 @ a937 )
        & ~ ( c0_1 @ a937 )
        & ~ ( c3_1 @ a937 ) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & ( c0_1 @ a938 )
        & ~ ( c2_1 @ a938 )
        & ~ ( c3_1 @ a938 ) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ( c1_1 @ a939 )
        & ~ ( c0_1 @ a939 )
        & ~ ( c3_1 @ a939 ) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ( c0_1 @ a950 )
        & ( c3_1 @ a950 )
        & ~ ( c2_1 @ a950 ) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ( c1_1 @ a953 )
        & ( c3_1 @ a953 )
        & ~ ( c2_1 @ a953 ) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ~ ( c0_1 @ a958 )
        & ~ ( c1_1 @ a958 )
        & ~ ( c3_1 @ a958 ) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ( c0_1 @ a969 )
        & ~ ( c1_1 @ a969 )
        & ~ ( c2_1 @ a969 ) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ( c2_1 @ a978 )
        & ( c3_1 @ a978 )
        & ~ ( c0_1 @ a978 ) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & ( c0_1 @ a900 )
        & ( c2_1 @ a900 )
        & ( c3_1 @ a900 ) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & ( c0_1 @ a911 )
        & ( c1_1 @ a911 )
        & ( c3_1 @ a911 ) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & ( c0_1 @ a919 )
        & ( c1_1 @ a919 )
        & ( c2_1 @ a919 ) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & ( c1_1 @ a957 )
        & ( c2_1 @ a957 )
        & ( c3_1 @ a957 ) ) )
    & ( ! [U: $i] :
          ( ndr1_0
         => ( ( c0_1 @ U )
            | ( c1_1 @ U )
            | ( c2_1 @ U ) ) )
      | ! [V: $i] :
          ( ndr1_0
         => ( ( c1_1 @ V )
            | ( c3_1 @ V )
            | ~ ( c2_1 @ V ) ) )
      | ! [W: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ W )
            | ~ ( c2_1 @ W )
            | ~ ( c3_1 @ W ) ) ) )
    & ( ! [X: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X )
            | ( c1_1 @ X )
            | ( c2_1 @ X ) ) )
      | hskp0
      | hskp1 )
    & ( ! [Y: $i] :
          ( ndr1_0
         => ( ( c0_1 @ Y )
            | ( c1_1 @ Y )
            | ( c3_1 @ Y ) ) )
      | ! [Z: $i] :
          ( ndr1_0
         => ( ( c0_1 @ Z )
            | ( c2_1 @ Z )
            | ~ ( c3_1 @ Z ) ) )
      | ! [X1: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X1 )
            | ( c2_1 @ X1 )
            | ~ ( c3_1 @ X1 ) ) ) )
    & ( ! [X2: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X2 )
            | ( c1_1 @ X2 )
            | ( c3_1 @ X2 ) ) )
      | hskp28
      | hskp2 )
    & ( ! [X3: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X3 )
            | ( c1_1 @ X3 )
            | ~ ( c2_1 @ X3 ) ) )
      | ! [X4: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X4 )
            | ~ ( c0_1 @ X4 )
            | ~ ( c1_1 @ X4 ) ) )
      | hskp1 )
    & ( ! [X5: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X5 )
            | ( c1_1 @ X5 )
            | ~ ( c3_1 @ X5 ) ) )
      | ! [X6: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X6 )
            | ~ ( c0_1 @ X6 )
            | ~ ( c2_1 @ X6 ) ) )
      | hskp3 )
    & ( ! [X7: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X7 )
            | ( c1_1 @ X7 )
            | ~ ( c3_1 @ X7 ) ) )
      | ! [X8: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X8 )
            | ~ ( c0_1 @ X8 )
            | ~ ( c3_1 @ X8 ) ) )
      | hskp4 )
    & ( ! [X9: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X9 )
            | ( c1_1 @ X9 )
            | ~ ( c3_1 @ X9 ) ) )
      | hskp5
      | hskp6 )
    & ( ! [X10: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X10 )
            | ( c1_1 @ X10 )
            | ~ ( c3_1 @ X10 ) ) )
      | hskp7
      | hskp8 )
    & ( ! [X11: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X11 )
            | ( c2_1 @ X11 )
            | ( c3_1 @ X11 ) ) )
      | ! [X12: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X12 )
            | ( c2_1 @ X12 )
            | ( c3_1 @ X12 ) ) )
      | hskp9 )
    & ( ! [X13: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X13 )
            | ( c2_1 @ X13 )
            | ( c3_1 @ X13 ) ) )
      | ! [X14: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X14 )
            | ~ ( c2_1 @ X14 )
            | ~ ( c3_1 @ X14 ) ) )
      | ! [X15: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X15 )
            | ~ ( c0_1 @ X15 )
            | ~ ( c2_1 @ X15 ) ) ) )
    & ( ! [X16: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X16 )
            | ( c2_1 @ X16 )
            | ~ ( c1_1 @ X16 ) ) )
      | ! [X17: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X17 )
            | ~ ( c2_1 @ X17 )
            | ~ ( c3_1 @ X17 ) ) )
      | ! [X18: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X18 )
            | ( c2_1 @ X18 )
            | ( c3_1 @ X18 ) ) ) )
    & ( ! [X19: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X19 )
            | ( c2_1 @ X19 )
            | ~ ( c1_1 @ X19 ) ) )
      | ! [X20: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X20 )
            | ( c2_1 @ X20 )
            | ( c3_1 @ X20 ) ) )
      | hskp10 )
    & ( ! [X21: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X21 )
            | ( c2_1 @ X21 )
            | ~ ( c1_1 @ X21 ) ) )
      | ! [X22: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X22 )
            | ~ ( c0_1 @ X22 )
            | ~ ( c1_1 @ X22 ) ) )
      | hskp29 )
    & ( ! [X23: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X23 )
            | ( c2_1 @ X23 )
            | ~ ( c1_1 @ X23 ) ) )
      | ! [X24: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X24 )
            | ~ ( c1_1 @ X24 )
            | ~ ( c3_1 @ X24 ) ) )
      | hskp11 )
    & ( ! [X25: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X25 )
            | ( c2_1 @ X25 )
            | ~ ( c1_1 @ X25 ) ) )
      | hskp12
      | hskp13 )
    & ( ! [X26: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X26 )
            | ( c2_1 @ X26 )
            | ~ ( c3_1 @ X26 ) ) )
      | ! [X27: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X27 )
            | ( c3_1 @ X27 )
            | ~ ( c2_1 @ X27 ) ) )
      | ! [X28: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X28 )
            | ~ ( c1_1 @ X28 )
            | ~ ( c3_1 @ X28 ) ) ) )
    & ( ! [X29: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X29 )
            | ( c2_1 @ X29 )
            | ~ ( c3_1 @ X29 ) ) )
      | ! [X30: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X30 )
            | ~ ( c0_1 @ X30 )
            | ~ ( c3_1 @ X30 ) ) )
      | ! [X31: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X31 )
            | ~ ( c0_1 @ X31 )
            | ~ ( c1_1 @ X31 ) ) ) )
    & ( ! [X32: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X32 )
            | ( c2_1 @ X32 )
            | ~ ( c3_1 @ X32 ) ) )
      | ! [X33: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X33 )
            | ( c3_1 @ X33 )
            | ~ ( c1_1 @ X33 ) ) )
      | hskp8 )
    & ( ! [X34: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X34 )
            | ( c2_1 @ X34 )
            | ~ ( c3_1 @ X34 ) ) )
      | ! [X35: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X35 )
            | ~ ( c0_1 @ X35 )
            | ~ ( c1_1 @ X35 ) ) )
      | hskp4 )
    & ( ! [X36: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X36 )
            | ( c2_1 @ X36 )
            | ~ ( c3_1 @ X36 ) ) )
      | ! [X37: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X37 )
            | ~ ( c0_1 @ X37 )
            | ~ ( c2_1 @ X37 ) ) )
      | hskp12 )
    & ( ! [X38: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X38 )
            | ( c2_1 @ X38 )
            | ~ ( c3_1 @ X38 ) ) )
      | ! [X39: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X39 )
            | ~ ( c1_1 @ X39 )
            | ~ ( c2_1 @ X39 ) ) )
      | hskp14 )
    & ( ! [X40: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X40 )
            | ( c2_1 @ X40 )
            | ~ ( c3_1 @ X40 ) ) )
      | hskp30
      | hskp1 )
    & ( ! [X41: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X41 )
            | ( c2_1 @ X41 )
            | ~ ( c3_1 @ X41 ) ) )
      | hskp15
      | hskp5 )
    & ( ! [X42: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X42 )
            | ( c2_1 @ X42 )
            | ~ ( c3_1 @ X42 ) ) )
      | hskp16
      | hskp9 )
    & ( ! [X43: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X43 )
            | ( c3_1 @ X43 )
            | ~ ( c1_1 @ X43 ) ) )
      | ! [X44: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X44 )
            | ~ ( c2_1 @ X44 )
            | ~ ( c3_1 @ X44 ) ) )
      | ! [X45: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X45 )
            | ( c3_1 @ X45 )
            | ~ ( c2_1 @ X45 ) ) ) )
    & ( ! [X46: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X46 )
            | ( c3_1 @ X46 )
            | ~ ( c1_1 @ X46 ) ) )
      | hskp4
      | hskp7 )
    & ( ! [X47: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X47 )
            | ( c3_1 @ X47 )
            | ~ ( c2_1 @ X47 ) ) )
      | hskp0
      | hskp17 )
    & ( ! [X48: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X48 )
            | ( c3_1 @ X48 )
            | ~ ( c2_1 @ X48 ) ) )
      | hskp18
      | hskp19 )
    & ( ! [X49: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X49 )
            | ~ ( c1_1 @ X49 )
            | ~ ( c2_1 @ X49 ) ) )
      | ! [X50: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X50 )
            | ( c3_1 @ X50 )
            | ~ ( c0_1 @ X50 ) ) )
      | hskp14 )
    & ( ! [X51: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X51 )
            | ~ ( c1_1 @ X51 )
            | ~ ( c2_1 @ X51 ) ) )
      | ! [X52: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X52 )
            | ~ ( c0_1 @ X52 )
            | ~ ( c2_1 @ X52 ) ) )
      | hskp15 )
    & ( ! [X53: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X53 )
            | ~ ( c1_1 @ X53 )
            | ~ ( c2_1 @ X53 ) ) )
      | ! [X54: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X54 )
            | ~ ( c1_1 @ X54 )
            | ~ ( c3_1 @ X54 ) ) )
      | hskp9 )
    & ( ! [X55: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X55 )
            | ~ ( c1_1 @ X55 )
            | ~ ( c3_1 @ X55 ) ) )
      | ! [X56: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X56 )
            | ~ ( c0_1 @ X56 )
            | ~ ( c2_1 @ X56 ) ) )
      | hskp14 )
    & ( ! [X57: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X57 )
            | ~ ( c1_1 @ X57 )
            | ~ ( c3_1 @ X57 ) ) )
      | hskp12
      | hskp10 )
    & ( ! [X58: $i] :
          ( ndr1_0
         => ( ( c0_1 @ X58 )
            | ~ ( c2_1 @ X58 )
            | ~ ( c3_1 @ X58 ) ) )
      | ! [X59: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X59 )
            | ( c2_1 @ X59 )
            | ~ ( c3_1 @ X59 ) ) )
      | ! [X60: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X60 )
            | ( c3_1 @ X60 )
            | ~ ( c1_1 @ X60 ) ) ) )
    & ( ! [X61: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X61 )
            | ( c2_1 @ X61 )
            | ( c3_1 @ X61 ) ) )
      | ! [X62: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X62 )
            | ~ ( c0_1 @ X62 )
            | ~ ( c2_1 @ X62 ) ) )
      | hskp20 )
    & ( ! [X63: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X63 )
            | ( c2_1 @ X63 )
            | ( c3_1 @ X63 ) ) )
      | ! [X64: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X64 )
            | ~ ( c1_1 @ X64 )
            | ~ ( c2_1 @ X64 ) ) )
      | hskp21 )
    & ( ! [X65: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X65 )
            | ( c2_1 @ X65 )
            | ~ ( c0_1 @ X65 ) ) )
      | ! [X66: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X66 )
            | ~ ( c2_1 @ X66 )
            | ~ ( c3_1 @ X66 ) ) )
      | hskp22 )
    & ( ! [X67: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X67 )
            | ( c2_1 @ X67 )
            | ~ ( c0_1 @ X67 ) ) )
      | ! [X68: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X68 )
            | ~ ( c0_1 @ X68 )
            | ~ ( c3_1 @ X68 ) ) )
      | hskp22 )
    & ( ! [X69: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X69 )
            | ( c2_1 @ X69 )
            | ~ ( c0_1 @ X69 ) ) )
      | ! [X70: $i] :
          ( ndr1_0
         => ( ~ ( c1_1 @ X70 )
            | ~ ( c2_1 @ X70 )
            | ~ ( c3_1 @ X70 ) ) )
      | hskp1 )
    & ( ! [X71: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X71 )
            | ( c2_1 @ X71 )
            | ~ ( c3_1 @ X71 ) ) )
      | ! [X72: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X72 )
            | ( c3_1 @ X72 )
            | ~ ( c2_1 @ X72 ) ) )
      | hskp12 )
    & ( ! [X73: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X73 )
            | ( c2_1 @ X73 )
            | ~ ( c3_1 @ X73 ) ) )
      | ! [X74: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X74 )
            | ( c3_1 @ X74 )
            | ~ ( c1_1 @ X74 ) ) )
      | hskp18 )
    & ( ! [X75: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X75 )
            | ( c3_1 @ X75 )
            | ~ ( c0_1 @ X75 ) ) )
      | hskp18
      | hskp12 )
    & ( ! [X76: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X76 )
            | ( c3_1 @ X76 )
            | ~ ( c2_1 @ X76 ) ) )
      | ! [X77: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X77 )
            | ~ ( c0_1 @ X77 )
            | ~ ( c1_1 @ X77 ) ) )
      | hskp21 )
    & ( ! [X78: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X78 )
            | ( c3_1 @ X78 )
            | ~ ( c2_1 @ X78 ) ) )
      | hskp29
      | hskp15 )
    & ( ! [X79: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X79 )
            | ~ ( c0_1 @ X79 )
            | ~ ( c2_1 @ X79 ) ) )
      | ! [X80: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X80 )
            | ( c3_1 @ X80 )
            | ~ ( c0_1 @ X80 ) ) )
      | ! [X81: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X81 )
            | ~ ( c1_1 @ X81 )
            | ~ ( c3_1 @ X81 ) ) ) )
    & ( ! [X82: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X82 )
            | ~ ( c0_1 @ X82 )
            | ~ ( c2_1 @ X82 ) ) )
      | ! [X83: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X83 )
            | ~ ( c0_1 @ X83 )
            | ~ ( c1_1 @ X83 ) ) )
      | hskp7 )
    & ( ! [X84: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X84 )
            | ~ ( c0_1 @ X84 )
            | ~ ( c2_1 @ X84 ) ) )
      | ! [X85: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X85 )
            | ~ ( c2_1 @ X85 )
            | ~ ( c3_1 @ X85 ) ) )
      | hskp23 )
    & ( ! [X86: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X86 )
            | ~ ( c0_1 @ X86 )
            | ~ ( c3_1 @ X86 ) ) )
      | ! [X87: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X87 )
            | ( c3_1 @ X87 )
            | ~ ( c0_1 @ X87 ) ) )
      | hskp18 )
    & ( ! [X88: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X88 )
            | ~ ( c2_1 @ X88 )
            | ~ ( c3_1 @ X88 ) ) )
      | ! [X89: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X89 )
            | ~ ( c1_1 @ X89 )
            | ~ ( c3_1 @ X89 ) ) )
      | hskp28 )
    & ( ! [X90: $i] :
          ( ndr1_0
         => ( ( c1_1 @ X90 )
            | ~ ( c2_1 @ X90 )
            | ~ ( c3_1 @ X90 ) ) )
      | hskp24
      | hskp17 )
    & ( ! [X91: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X91 )
            | ( c3_1 @ X91 )
            | ~ ( c0_1 @ X91 ) ) )
      | hskp10
      | hskp7 )
    & ( ! [X92: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X92 )
            | ( c3_1 @ X92 )
            | ~ ( c1_1 @ X92 ) ) )
      | ! [X93: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X93 )
            | ~ ( c0_1 @ X93 )
            | ~ ( c1_1 @ X93 ) ) )
      | hskp31 )
    & ( ! [X94: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X94 )
            | ( c3_1 @ X94 )
            | ~ ( c1_1 @ X94 ) ) )
      | hskp25 )
    & ( ! [X95: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X95 )
            | ~ ( c0_1 @ X95 )
            | ~ ( c1_1 @ X95 ) ) )
      | hskp1
      | hskp20 )
    & ( ! [X96: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X96 )
            | ~ ( c0_1 @ X96 )
            | ~ ( c3_1 @ X96 ) ) )
      | ! [X97: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X97 )
            | ~ ( c2_1 @ X97 )
            | ~ ( c3_1 @ X97 ) ) )
      | hskp0 )
    & ( ! [X98: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X98 )
            | ~ ( c0_1 @ X98 )
            | ~ ( c3_1 @ X98 ) ) )
      | hskp1
      | hskp5 )
    & ( ! [X99: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X99 )
            | ~ ( c1_1 @ X99 )
            | ~ ( c3_1 @ X99 ) ) )
      | hskp12
      | hskp6 )
    & ( ! [X100: $i] :
          ( ndr1_0
         => ( ( c2_1 @ X100 )
            | ~ ( c1_1 @ X100 )
            | ~ ( c3_1 @ X100 ) ) )
      | hskp1
      | hskp13 )
    & ( ! [X101: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X101 )
            | ~ ( c0_1 @ X101 )
            | ~ ( c1_1 @ X101 ) ) )
      | ! [X102: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X102 )
            | ~ ( c2_1 @ X102 )
            | ~ ( c3_1 @ X102 ) ) )
      | hskp21 )
    & ( ! [X103: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X103 )
            | ~ ( c0_1 @ X103 )
            | ~ ( c1_1 @ X103 ) ) )
      | hskp26
      | hskp17 )
    & ( ! [X104: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X104 )
            | ~ ( c0_1 @ X104 )
            | ~ ( c2_1 @ X104 ) ) )
      | ! [X105: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X105 )
            | ~ ( c1_1 @ X105 )
            | ~ ( c2_1 @ X105 ) ) )
      | hskp9 )
    & ( ! [X106: $i] :
          ( ndr1_0
         => ( ( c3_1 @ X106 )
            | ~ ( c0_1 @ X106 )
            | ~ ( c2_1 @ X106 ) ) )
      | hskp16
      | hskp10 )
    & ( ! [X107: $i] :
          ( ndr1_0
         => ( ~ ( c0_1 @ X107 )
            | ~ ( c2_1 @ X107 )
            | ~ ( c3_1 @ X107 ) ) )
      | hskp13
      | hskp2 )
    & ( hskp29
      | hskp31
      | hskp27 )
    & ( hskp0
      | hskp12
      | hskp9 )
    & ( hskp0
      | hskp21
      | hskp25 )
    & ( hskp15
      | hskp22
      | hskp19 )
    & ( hskp28
      | hskp22
      | hskp17 )
    & ( hskp3
      | hskp24
      | hskp25 )
    & ( hskp23
      | hskp26
      | hskp22 )
    & ( hskp27
      | hskp7
      | hskp9 ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl133,plain,
    ( ~ hskp16
    | ( c1_1 @ a923 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl601,plain,
    ( ( c1_1 @ a923 )
   <= ( c1_1 @ a923 ) ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf(zip_derived_cl45,plain,
    ! [X61: $i] :
      ( ( c0_1 @ X61 )
      | ( c3_1 @ X61 )
      | ~ ( c1_1 @ X61 )
      | ~ ndr1_0
      | hskp4
      | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl371,plain,
    ( ! [X61: $i] :
        ( ( c0_1 @ X61 )
        | ( c3_1 @ X61 )
        | ~ ( c1_1 @ X61 ) )
   <= ! [X61: $i] :
        ( ( c0_1 @ X61 )
        | ( c3_1 @ X61 )
        | ~ ( c1_1 @ X61 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl1742,plain,
    ( ( ( c0_1 @ a923 )
      | ( c3_1 @ a923 ) )
   <= ( ! [X61: $i] :
          ( ( c0_1 @ X61 )
          | ( c3_1 @ X61 )
          | ~ ( c1_1 @ X61 ) )
      & ( c1_1 @ a923 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl601,zip_derived_cl371]) ).

thf('0',plain,
    ( ( c0_1 @ a923 )
    | ( c3_1 @ a923 )
    | ~ ! [X61: $i] :
          ( ( c0_1 @ X61 )
          | ( c3_1 @ X61 )
          | ~ ( c1_1 @ X61 ) )
    | ~ ( c1_1 @ a923 ) ),
    inference(split,[status(esa)],[zip_derived_cl1742]) ).

thf(zip_derived_cl70,plain,
    ! [X109: $i] :
      ( ( c0_1 @ X109 )
      | ( c1_1 @ X109 )
      | ( c2_1 @ X109 )
      | ~ ndr1_0
      | hskp0
      | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl471,plain,
    ( ! [X109: $i] :
        ( ( c0_1 @ X109 )
        | ( c1_1 @ X109 )
        | ( c2_1 @ X109 ) )
   <= ! [X109: $i] :
        ( ( c0_1 @ X109 )
        | ( c1_1 @ X109 )
        | ( c2_1 @ X109 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl70]) ).

thf(zip_derived_cl56,plain,
    ! [X82: $i] :
      ( ( c0_1 @ X82 )
      | ( c2_1 @ X82 )
      | ~ ( c1_1 @ X82 )
      | ~ ndr1_0
      | hskp12
      | hskp13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl415,plain,
    ( ! [X82: $i] :
        ( ( c0_1 @ X82 )
        | ( c2_1 @ X82 )
        | ~ ( c1_1 @ X82 ) )
   <= ! [X82: $i] :
        ( ( c0_1 @ X82 )
        | ( c2_1 @ X82 )
        | ~ ( c1_1 @ X82 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl56]) ).

thf(zip_derived_cl2224,plain,
    ( ! [X0: $i] :
        ( ( c2_1 @ X0 )
        | ( c0_1 @ X0 )
        | ( c0_1 @ X0 )
        | ( c2_1 @ X0 ) )
   <= ( ! [X82: $i] :
          ( ( c0_1 @ X82 )
          | ( c2_1 @ X82 )
          | ~ ( c1_1 @ X82 ) )
      & ! [X109: $i] :
          ( ( c0_1 @ X109 )
          | ( c1_1 @ X109 )
          | ( c2_1 @ X109 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl471,zip_derived_cl415]) ).

thf(zip_derived_cl2255,plain,
    ( ! [X0: $i] :
        ( ( c0_1 @ X0 )
        | ( c2_1 @ X0 ) )
   <= ( ! [X82: $i] :
          ( ( c0_1 @ X82 )
          | ( c2_1 @ X82 )
          | ~ ( c1_1 @ X82 ) )
      & ! [X109: $i] :
          ( ( c0_1 @ X109 )
          | ( c1_1 @ X109 )
          | ( c2_1 @ X109 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2224]) ).

thf(zip_derived_cl109,plain,
    ( ~ hskp22
    | ( c1_1 @ a939 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl553,plain,
    ( ( c1_1 @ a939 )
   <= ( c1_1 @ a939 ) ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf(zip_derived_cl50,plain,
    ! [X68: $i,X69: $i] :
      ( ( c0_1 @ X68 )
      | ( c2_1 @ X68 )
      | ~ ( c3_1 @ X68 )
      | ~ ndr1_0
      | ( c3_1 @ X69 )
      | ~ ( c1_1 @ X69 )
      | ~ ( c2_1 @ X69 )
      | ~ ndr1_0
      | hskp14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl391,plain,
    ( ! [X69: $i] :
        ( ( c3_1 @ X69 )
        | ~ ( c1_1 @ X69 )
        | ~ ( c2_1 @ X69 ) )
   <= ! [X69: $i] :
        ( ( c3_1 @ X69 )
        | ~ ( c1_1 @ X69 )
        | ~ ( c2_1 @ X69 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl1596,plain,
    ( ( ( c3_1 @ a939 )
      | ~ ( c2_1 @ a939 ) )
   <= ( ! [X69: $i] :
          ( ( c3_1 @ X69 )
          | ~ ( c1_1 @ X69 )
          | ~ ( c2_1 @ X69 ) )
      & ( c1_1 @ a939 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl553,zip_derived_cl391]) ).

thf('1',plain,
    ( ~ ! [X69: $i] :
          ( ( c3_1 @ X69 )
          | ~ ( c1_1 @ X69 )
          | ~ ( c2_1 @ X69 ) )
    | ~ ( c2_1 @ a939 )
    | ( c3_1 @ a939 )
    | ~ ( c1_1 @ a939 ) ),
    inference(split,[status(esa)],[zip_derived_cl1596]) ).

thf(zip_derived_cl23,plain,
    ! [X20: $i,X21: $i] :
      ( ( c1_1 @ X20 )
      | ~ ( c0_1 @ X20 )
      | ~ ( c3_1 @ X20 )
      | ~ ndr1_0
      | ( c2_1 @ X21 )
      | ( c3_1 @ X21 )
      | ~ ( c0_1 @ X21 )
      | ~ ndr1_0
      | hskp18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl284,plain,
    ( ! [X20: $i] :
        ( ( c1_1 @ X20 )
        | ~ ( c0_1 @ X20 )
        | ~ ( c3_1 @ X20 ) )
   <= ! [X20: $i] :
        ( ( c1_1 @ X20 )
        | ~ ( c0_1 @ X20 )
        | ~ ( c3_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl94,plain,
    ( ~ hskp26
    | ~ ( c1_1 @ a969 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl523,plain,
    ( ~ ( c1_1 @ a969 )
   <= ~ ( c1_1 @ a969 ) ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf(zip_derived_cl882,plain,
    ( ( ~ ( c3_1 @ a969 )
      | ~ ( c0_1 @ a969 ) )
   <= ( ~ ( c1_1 @ a969 )
      & ! [X20: $i] :
          ( ( c1_1 @ X20 )
          | ~ ( c0_1 @ X20 )
          | ~ ( c3_1 @ X20 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl284,zip_derived_cl523]) ).

thf('2',plain,
    ( ( c1_1 @ a969 )
    | ~ ( c3_1 @ a969 )
    | ~ ( c0_1 @ a969 )
    | ~ ! [X20: $i] :
          ( ( c1_1 @ X20 )
          | ~ ( c0_1 @ X20 )
          | ~ ( c3_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl882]) ).

thf('3',plain,
    ( ~ hskp26
    | ~ ( c1_1 @ a969 ) ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf(zip_derived_cl29,plain,
    ! [X32: $i] :
      ( ( c1_1 @ X32 )
      | ( c3_1 @ X32 )
      | ~ ( c0_1 @ X32 )
      | ~ ndr1_0
      | hskp18
      | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl307,plain,
    ( ! [X32: $i] :
        ( ( c1_1 @ X32 )
        | ( c3_1 @ X32 )
        | ~ ( c0_1 @ X32 ) )
   <= ! [X32: $i] :
        ( ( c1_1 @ X32 )
        | ( c3_1 @ X32 )
        | ~ ( c0_1 @ X32 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl523_001,plain,
    ( ~ ( c1_1 @ a969 )
   <= ~ ( c1_1 @ a969 ) ),
    inference(split,[status(esa)],[zip_derived_cl94]) ).

thf(zip_derived_cl1128,plain,
    ( ( ~ ( c0_1 @ a969 )
      | ( c3_1 @ a969 ) )
   <= ( ~ ( c1_1 @ a969 )
      & ! [X32: $i] :
          ( ( c1_1 @ X32 )
          | ( c3_1 @ X32 )
          | ~ ( c0_1 @ X32 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl307,zip_derived_cl523]) ).

thf('4',plain,
    ( ( c3_1 @ a969 )
    | ~ ! [X32: $i] :
          ( ( c1_1 @ X32 )
          | ( c3_1 @ X32 )
          | ~ ( c0_1 @ X32 ) )
    | ( c1_1 @ a969 )
    | ~ ( c0_1 @ a969 ) ),
    inference(split,[status(esa)],[zip_derived_cl1128]) ).

thf('5',plain,
    ( hskp12
    | ! [X32: $i] :
        ( ( c1_1 @ X32 )
        | ( c3_1 @ X32 )
        | ~ ( c0_1 @ X32 ) )
    | hskp18
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl29]) ).

thf(zip_derived_cl177,plain,
    ( ~ hskp5
    | ( c1_1 @ a905 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl689,plain,
    ( ( c1_1 @ a905 )
   <= ( c1_1 @ a905 ) ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf(zip_derived_cl415_002,plain,
    ( ! [X82: $i] :
        ( ( c0_1 @ X82 )
        | ( c2_1 @ X82 )
        | ~ ( c1_1 @ X82 ) )
   <= ! [X82: $i] :
        ( ( c0_1 @ X82 )
        | ( c2_1 @ X82 )
        | ~ ( c1_1 @ X82 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl56]) ).

thf(zip_derived_cl1787,plain,
    ( ( ( c0_1 @ a905 )
      | ( c2_1 @ a905 ) )
   <= ( ! [X82: $i] :
          ( ( c0_1 @ X82 )
          | ( c2_1 @ X82 )
          | ~ ( c1_1 @ X82 ) )
      & ( c1_1 @ a905 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl689,zip_derived_cl415]) ).

thf('6',plain,
    ( ( c2_1 @ a905 )
    | ( c0_1 @ a905 )
    | ~ ! [X82: $i] :
          ( ( c0_1 @ X82 )
          | ( c2_1 @ X82 )
          | ~ ( c1_1 @ X82 ) )
    | ~ ( c1_1 @ a905 ) ),
    inference(split,[status(esa)],[zip_derived_cl1787]) ).

thf(zip_derived_cl35,plain,
    ! [X43: $i,X44: $i] :
      ( ( c1_1 @ X43 )
      | ( c2_1 @ X43 )
      | ( c3_1 @ X43 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X44 )
      | ~ ( c1_1 @ X44 )
      | ~ ( c2_1 @ X44 )
      | ~ ndr1_0
      | hskp21 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl332,plain,
    ( ! [X43: $i] :
        ( ( c1_1 @ X43 )
        | ( c2_1 @ X43 )
        | ( c3_1 @ X43 ) )
   <= ! [X43: $i] :
        ( ( c1_1 @ X43 )
        | ( c2_1 @ X43 )
        | ( c3_1 @ X43 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl153,plain,
    ( ~ hskp11
    | ~ ( c1_1 @ a912 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl641,plain,
    ( ~ ( c1_1 @ a912 )
   <= ~ ( c1_1 @ a912 ) ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl1545,plain,
    ( ( ( c3_1 @ a912 )
      | ( c2_1 @ a912 ) )
   <= ( ~ ( c1_1 @ a912 )
      & ! [X43: $i] :
          ( ( c1_1 @ X43 )
          | ( c2_1 @ X43 )
          | ( c3_1 @ X43 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl332,zip_derived_cl641]) ).

thf('7',plain,
    ( ( c1_1 @ a912 )
    | ( c2_1 @ a912 )
    | ~ ! [X43: $i] :
          ( ( c1_1 @ X43 )
          | ( c2_1 @ X43 )
          | ( c3_1 @ X43 ) )
    | ( c3_1 @ a912 ) ),
    inference(split,[status(esa)],[zip_derived_cl1545]) ).

thf('8',plain,
    ( ~ hskp11
    | ~ ( c1_1 @ a912 ) ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf(zip_derived_cl154,plain,
    ( ~ hskp11
    | ~ ( c2_1 @ a912 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('9',plain,
    ( ~ hskp11
    | ~ ( c2_1 @ a912 ) ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf(zip_derived_cl155,plain,
    ( ~ hskp11
    | ~ ( c3_1 @ a912 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('10',plain,
    ( ~ hskp11
    | ~ ( c3_1 @ a912 ) ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf(zip_derived_cl57,plain,
    ! [X83: $i,X84: $i] :
      ( ( c0_1 @ X83 )
      | ( c2_1 @ X83 )
      | ~ ( c1_1 @ X83 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X84 )
      | ~ ( c1_1 @ X84 )
      | ~ ( c3_1 @ X84 )
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('11',plain,
    ( ! [X82: $i] :
        ( ( c0_1 @ X82 )
        | ( c2_1 @ X82 )
        | ~ ( c1_1 @ X82 ) )
    | hskp11
    | ~ ndr1_0
    | ! [X19: $i] :
        ( ~ ( c0_1 @ X19 )
        | ~ ( c1_1 @ X19 )
        | ~ ( c3_1 @ X19 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf(zip_derived_cl78,plain,
    ( ~ hskp30
    | ( c1_1 @ a919 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl491,plain,
    ( ( c1_1 @ a919 )
   <= ( c1_1 @ a919 ) ),
    inference(split,[status(esa)],[zip_derived_cl78]) ).

thf(zip_derived_cl22,plain,
    ! [X18: $i,X19: $i] :
      ( ( c1_1 @ X18 )
      | ~ ( c2_1 @ X18 )
      | ~ ( c3_1 @ X18 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X19 )
      | ~ ( c1_1 @ X19 )
      | ~ ( c3_1 @ X19 )
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl279,plain,
    ( ! [X19: $i] :
        ( ~ ( c0_1 @ X19 )
        | ~ ( c1_1 @ X19 )
        | ~ ( c3_1 @ X19 ) )
   <= ! [X19: $i] :
        ( ~ ( c0_1 @ X19 )
        | ~ ( c1_1 @ X19 )
        | ~ ( c3_1 @ X19 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl1075,plain,
    ( ( ~ ( c0_1 @ a919 )
      | ~ ( c3_1 @ a919 ) )
   <= ( ! [X19: $i] :
          ( ~ ( c0_1 @ X19 )
          | ~ ( c1_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
      & ( c1_1 @ a919 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl491,zip_derived_cl279]) ).

thf('12',plain,
    ( ~ ! [X19: $i] :
          ( ~ ( c0_1 @ X19 )
          | ~ ( c1_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
    | ~ ( c3_1 @ a919 )
    | ~ ( c0_1 @ a919 )
    | ~ ( c1_1 @ a919 ) ),
    inference(split,[status(esa)],[zip_derived_cl1075]) ).

thf(zip_derived_cl491_003,plain,
    ( ( c1_1 @ a919 )
   <= ( c1_1 @ a919 ) ),
    inference(split,[status(esa)],[zip_derived_cl78]) ).

thf(zip_derived_cl32,plain,
    ! [X37: $i,X38: $i] :
      ( ( c1_1 @ X37 )
      | ( c2_1 @ X37 )
      | ~ ( c0_1 @ X37 )
      | ~ ndr1_0
      | ~ ( c1_1 @ X38 )
      | ~ ( c2_1 @ X38 )
      | ~ ( c3_1 @ X38 )
      | ~ ndr1_0
      | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl319,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_cl32]) ).

thf(zip_derived_cl1076,plain,
    ( ( ~ ( c2_1 @ a919 )
      | ~ ( c3_1 @ a919 ) )
   <= ( ! [X38: $i] :
          ( ~ ( c1_1 @ X38 )
          | ~ ( c2_1 @ X38 )
          | ~ ( c3_1 @ X38 ) )
      & ( c1_1 @ a919 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl491,zip_derived_cl319]) ).

thf('13',plain,
    ( ~ ! [X38: $i] :
          ( ~ ( c1_1 @ X38 )
          | ~ ( c2_1 @ X38 )
          | ~ ( c3_1 @ X38 ) )
    | ~ ( c1_1 @ a919 )
    | ~ ( c2_1 @ a919 )
    | ~ ( c3_1 @ a919 ) ),
    inference(split,[status(esa)],[zip_derived_cl1076]) ).

thf(zip_derived_cl491_004,plain,
    ( ( c1_1 @ a919 )
   <= ( c1_1 @ a919 ) ),
    inference(split,[status(esa)],[zip_derived_cl78]) ).

thf(zip_derived_cl391_005,plain,
    ( ! [X69: $i] :
        ( ( c3_1 @ X69 )
        | ~ ( c1_1 @ X69 )
        | ~ ( c2_1 @ X69 ) )
   <= ! [X69: $i] :
        ( ( c3_1 @ X69 )
        | ~ ( c1_1 @ X69 )
        | ~ ( c2_1 @ X69 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl1599,plain,
    ( ( ( c3_1 @ a919 )
      | ~ ( c2_1 @ a919 ) )
   <= ( ! [X69: $i] :
          ( ( c3_1 @ X69 )
          | ~ ( c1_1 @ X69 )
          | ~ ( c2_1 @ X69 ) )
      & ( c1_1 @ a919 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl491,zip_derived_cl391]) ).

thf('14',plain,
    ( ( c3_1 @ a919 )
    | ~ ! [X69: $i] :
          ( ( c3_1 @ X69 )
          | ~ ( c1_1 @ X69 )
          | ~ ( c2_1 @ X69 ) )
    | ~ ( c2_1 @ a919 )
    | ~ ( c1_1 @ a919 ) ),
    inference(split,[status(esa)],[zip_derived_cl1599]) ).

thf('15',plain,
    ( ( c1_1 @ a919 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl78]) ).

thf(zip_derived_cl37,plain,
    ! [X47: $i,X48: $i,X49: $i] :
      ( ( c0_1 @ X47 )
      | ~ ( c2_1 @ X47 )
      | ~ ( c3_1 @ X47 )
      | ~ ndr1_0
      | ( c1_1 @ X48 )
      | ( c2_1 @ X48 )
      | ~ ( c3_1 @ X48 )
      | ~ ndr1_0
      | ( c2_1 @ X49 )
      | ( c3_1 @ X49 )
      | ~ ( c1_1 @ X49 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl339,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_cl37]) ).

thf(zip_derived_cl284_006,plain,
    ( ! [X20: $i] :
        ( ( c1_1 @ X20 )
        | ~ ( c0_1 @ X20 )
        | ~ ( c3_1 @ X20 ) )
   <= ! [X20: $i] :
        ( ( c1_1 @ X20 )
        | ~ ( c0_1 @ X20 )
        | ~ ( c3_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl175,plain,
    ( ~ hskp6
    | ~ ( c1_1 @ a906 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl685,plain,
    ( ~ ( c1_1 @ a906 )
   <= ~ ( c1_1 @ a906 ) ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl872,plain,
    ( ( ~ ( c3_1 @ a906 )
      | ~ ( c0_1 @ a906 ) )
   <= ( ~ ( c1_1 @ a906 )
      & ! [X20: $i] :
          ( ( c1_1 @ X20 )
          | ~ ( c0_1 @ X20 )
          | ~ ( c3_1 @ X20 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl284,zip_derived_cl685]) ).

thf(zip_derived_cl966,plain,
    ( ~ ( c0_1 @ a906 )
   <= ~ ( c0_1 @ a906 ) ),
    inference(split,[status(esa)],[zip_derived_cl872]) ).

thf(zip_derived_cl1652,plain,
    ( ( ~ ( c3_1 @ a906 )
      | ~ ( c2_1 @ a906 ) )
   <= ( ~ ( c0_1 @ a906 )
      & ! [X47: $i] :
          ( ( c0_1 @ X47 )
          | ~ ( c2_1 @ X47 )
          | ~ ( c3_1 @ X47 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl339,zip_derived_cl966]) ).

thf('16',plain,
    ( ( c0_1 @ a906 )
    | ~ ! [X47: $i] :
          ( ( c0_1 @ X47 )
          | ~ ( c2_1 @ X47 )
          | ~ ( c3_1 @ X47 ) )
    | ~ ( c2_1 @ a906 )
    | ~ ( c3_1 @ a906 ) ),
    inference(split,[status(esa)],[zip_derived_cl1652]) ).

thf(zip_derived_cl24,plain,
    ! [X22: $i,X23: $i] :
      ( ( c1_1 @ X22 )
      | ~ ( c0_1 @ X22 )
      | ~ ( c2_1 @ X22 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X23 )
      | ~ ( c2_1 @ X23 )
      | ~ ( c3_1 @ X23 )
      | ~ ndr1_0
      | hskp23 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl288,plain,
    ( ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ~ ( c0_1 @ X22 )
        | ~ ( c2_1 @ X22 ) )
   <= ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ~ ( c0_1 @ X22 )
        | ~ ( c2_1 @ X22 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl685_007,plain,
    ( ~ ( c1_1 @ a906 )
   <= ~ ( c1_1 @ a906 ) ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl920,plain,
    ( ( ~ ( c2_1 @ a906 )
      | ~ ( c0_1 @ a906 ) )
   <= ( ~ ( c1_1 @ a906 )
      & ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ~ ( c0_1 @ X22 )
          | ~ ( c2_1 @ X22 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl288,zip_derived_cl685]) ).

thf('17',plain,
    ( ~ ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ~ ( c0_1 @ X22 )
          | ~ ( c2_1 @ X22 ) )
    | ~ ( c0_1 @ a906 )
    | ( c1_1 @ a906 )
    | ~ ( c2_1 @ a906 ) ),
    inference(split,[status(esa)],[zip_derived_cl920]) ).

thf(zip_derived_cl63,plain,
    ! [X97: $i] :
      ( ( c0_1 @ X97 )
      | ( c1_1 @ X97 )
      | ~ ( c3_1 @ X97 )
      | ~ ndr1_0
      | hskp7
      | hskp8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl443,plain,
    ( ! [X97: $i] :
        ( ( c0_1 @ X97 )
        | ( c1_1 @ X97 )
        | ~ ( c3_1 @ X97 ) )
   <= ! [X97: $i] :
        ( ( c0_1 @ X97 )
        | ( c1_1 @ X97 )
        | ~ ( c3_1 @ X97 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl63]) ).

thf(zip_derived_cl685_008,plain,
    ( ~ ( c1_1 @ a906 )
   <= ~ ( c1_1 @ a906 ) ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl1997,plain,
    ( ( ~ ( c3_1 @ a906 )
      | ( c0_1 @ a906 ) )
   <= ( ~ ( c1_1 @ a906 )
      & ! [X97: $i] :
          ( ( c0_1 @ X97 )
          | ( c1_1 @ X97 )
          | ~ ( c3_1 @ X97 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl443,zip_derived_cl685]) ).

thf('18',plain,
    ( ( c0_1 @ a906 )
    | ~ ! [X97: $i] :
          ( ( c0_1 @ X97 )
          | ( c1_1 @ X97 )
          | ~ ( c3_1 @ X97 ) )
    | ( c1_1 @ a906 )
    | ~ ( c3_1 @ a906 ) ),
    inference(split,[status(esa)],[zip_derived_cl1997]) ).

thf(zip_derived_cl198,plain,
    ( ~ hskp0
    | ( c1_1 @ a898 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl731,plain,
    ( ( c1_1 @ a898 )
   <= ( c1_1 @ a898 ) ),
    inference(split,[status(esa)],[zip_derived_cl198]) ).

thf(zip_derived_cl13,plain,
    ! [X7: $i] :
      ( ( c2_1 @ X7 )
      | ~ ( c1_1 @ X7 )
      | ~ ( c3_1 @ X7 )
      | ~ ndr1_0
      | hskp1
      | hskp13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl244,plain,
    ( ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c1_1 @ X7 )
        | ~ ( c3_1 @ X7 ) )
   <= ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c1_1 @ X7 )
        | ~ ( c3_1 @ X7 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl1426,plain,
    ( ( ( c2_1 @ a898 )
      | ~ ( c3_1 @ a898 ) )
   <= ( ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c1_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
      & ( c1_1 @ a898 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl731,zip_derived_cl244]) ).

thf('19',plain,
    ( ~ ( c3_1 @ a898 )
    | ~ ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c1_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
    | ~ ( c1_1 @ a898 )
    | ( c2_1 @ a898 ) ),
    inference(split,[status(esa)],[zip_derived_cl1426]) ).

thf(zip_derived_cl731_009,plain,
    ( ( c1_1 @ a898 )
   <= ( c1_1 @ a898 ) ),
    inference(split,[status(esa)],[zip_derived_cl198]) ).

thf(zip_derived_cl11,plain,
    ! [X4: $i] :
      ( ( c3_1 @ X4 )
      | ~ ( c0_1 @ X4 )
      | ~ ( c1_1 @ X4 )
      | ~ ndr1_0
      | hskp26
      | hskp17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl236,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_cl11]) ).

thf(zip_derived_cl1425,plain,
    ( ( ( c3_1 @ a898 )
      | ~ ( c0_1 @ a898 ) )
   <= ( ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 ) )
      & ( c1_1 @ a898 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl731,zip_derived_cl236]) ).

thf('20',plain,
    ( ~ ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 ) )
    | ( c3_1 @ a898 )
    | ~ ( c1_1 @ a898 )
    | ~ ( c0_1 @ a898 ) ),
    inference(split,[status(esa)],[zip_derived_cl1425]) ).

thf(zip_derived_cl47,plain,
    ! [X65: $i] :
      ( ( c0_1 @ X65 )
      | ( c2_1 @ X65 )
      | ~ ( c3_1 @ X65 )
      | ~ ndr1_0
      | hskp16
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl379,plain,
    ( ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ( c2_1 @ X65 )
        | ~ ( c3_1 @ X65 ) )
   <= ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ( c2_1 @ X65 )
        | ~ ( c3_1 @ X65 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(zip_derived_cl179,plain,
    ( ~ hskp5
    | ~ ( c0_1 @ a905 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl693,plain,
    ( ~ ( c0_1 @ a905 )
   <= ~ ( c0_1 @ a905 ) ),
    inference(split,[status(esa)],[zip_derived_cl179]) ).

thf(zip_derived_cl1899,plain,
    ( ( ~ ( c3_1 @ a905 )
      | ( c2_1 @ a905 ) )
   <= ( ~ ( c0_1 @ a905 )
      & ! [X65: $i] :
          ( ( c0_1 @ X65 )
          | ( c2_1 @ X65 )
          | ~ ( c3_1 @ X65 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl379,zip_derived_cl693]) ).

thf('21',plain,
    ( ( c2_1 @ a905 )
    | ~ ( c3_1 @ a905 )
    | ~ ! [X65: $i] :
          ( ( c0_1 @ X65 )
          | ( c2_1 @ X65 )
          | ~ ( c3_1 @ X65 ) )
    | ( c0_1 @ a905 ) ),
    inference(split,[status(esa)],[zip_derived_cl1899]) ).

thf(zip_derived_cl82,plain,
    ( ~ hskp29
    | ( c1_1 @ a911 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl499,plain,
    ( ( c1_1 @ a911 )
   <= ( c1_1 @ a911 ) ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl10,plain,
    ! [X2: $i,X3: $i] :
      ( ( c3_1 @ X2 )
      | ~ ( c0_1 @ X2 )
      | ~ ( c2_1 @ X2 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X3 )
      | ~ ( c1_1 @ X3 )
      | ~ ( c2_1 @ X3 )
      | ~ ndr1_0
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl232,plain,
    ( ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl1091,plain,
    ( ( ~ ( c0_1 @ a911 )
      | ~ ( c2_1 @ a911 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ( c1_1 @ a911 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl499,zip_derived_cl232]) ).

thf('22',plain,
    ( ~ ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
    | ~ ( c2_1 @ a911 )
    | ~ ( c1_1 @ a911 )
    | ~ ( c0_1 @ a911 ) ),
    inference(split,[status(esa)],[zip_derived_cl1091]) ).

thf(zip_derived_cl30,plain,
    ! [X33: $i,X34: $i] :
      ( ( c1_1 @ X33 )
      | ( c2_1 @ X33 )
      | ~ ( c3_1 @ X33 )
      | ~ ndr1_0
      | ( c2_1 @ X34 )
      | ( c3_1 @ X34 )
      | ~ ( c1_1 @ X34 )
      | ~ ndr1_0
      | hskp18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl312,plain,
    ( ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c2_1 @ X33 )
        | ~ ( c3_1 @ X33 ) )
   <= ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c2_1 @ X33 )
        | ~ ( c3_1 @ X33 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl162,plain,
    ( ~ hskp9
    | ~ ( c1_1 @ a909 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl659,plain,
    ( ~ ( c1_1 @ a909 )
   <= ~ ( c1_1 @ a909 ) ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf(zip_derived_cl1205,plain,
    ( ( ~ ( c3_1 @ a909 )
      | ( c2_1 @ a909 ) )
   <= ( ~ ( c1_1 @ a909 )
      & ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ( c2_1 @ X33 )
          | ~ ( c3_1 @ X33 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl312,zip_derived_cl659]) ).

thf('23',plain,
    ( ~ ( c3_1 @ a909 )
    | ( c1_1 @ a909 )
    | ~ ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ( c2_1 @ X33 )
          | ~ ( c3_1 @ X33 ) )
    | ( c2_1 @ a909 ) ),
    inference(split,[status(esa)],[zip_derived_cl1205]) ).

thf(zip_derived_cl6,plain,
    ( hskp0
    | hskp12
    | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('24',plain,
    ( hskp9
    | hskp12
    | hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl28,plain,
    ! [X30: $i,X31: $i] :
      ( ( c1_1 @ X30 )
      | ( c3_1 @ X30 )
      | ~ ( c2_1 @ X30 )
      | ~ ndr1_0
      | ( c2_1 @ X31 )
      | ~ ( c0_1 @ X31 )
      | ~ ( c1_1 @ X31 )
      | ~ ndr1_0
      | hskp21 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('25',plain,
    ( hskp21
    | ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ~ ( c0_1 @ X12 )
        | ~ ( c1_1 @ X12 ) )
    | ~ ndr1_0
    | ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ( c3_1 @ X29 )
        | ~ ( c2_1 @ X29 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl28]) ).

thf(zip_derived_cl17,plain,
    ! [X12: $i] :
      ( ( c2_1 @ X12 )
      | ~ ( c0_1 @ X12 )
      | ~ ( c1_1 @ X12 )
      | ~ ndr1_0
      | hskp1
      | hskp20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('26',plain,
    ( hskp20
    | hskp1
    | ~ ndr1_0
    | ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ~ ( c0_1 @ X12 )
        | ~ ( c1_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl43,plain,
    ! [X59: $i] :
      ( ( c0_1 @ X59 )
      | ( c3_1 @ X59 )
      | ~ ( c2_1 @ X59 )
      | ~ ndr1_0
      | hskp18
      | hskp19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl363,plain,
    ( ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ( c3_1 @ X59 )
        | ~ ( c2_1 @ X59 ) )
   <= ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ( c3_1 @ X59 )
        | ~ ( c2_1 @ X59 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl9,plain,
    ! [X1: $i] :
      ( ( c3_1 @ X1 )
      | ~ ( c0_1 @ X1 )
      | ~ ( c2_1 @ X1 )
      | ~ ndr1_0
      | hskp16
      | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl228,plain,
    ( ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl1814,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ( c3_1 @ X0 )
        | ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 ) )
      & ! [X59: $i] :
          ( ( c0_1 @ X59 )
          | ( c3_1 @ X59 )
          | ~ ( c2_1 @ X59 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl363,zip_derived_cl228]) ).

thf(zip_derived_cl1874,plain,
    ( ! [X0: $i] :
        ( ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 ) )
      & ! [X59: $i] :
          ( ( c0_1 @ X59 )
          | ( c3_1 @ X59 )
          | ~ ( c2_1 @ X59 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1814]) ).

thf(zip_derived_cl443_010,plain,
    ( ! [X97: $i] :
        ( ( c0_1 @ X97 )
        | ( c1_1 @ X97 )
        | ~ ( c3_1 @ X97 ) )
   <= ! [X97: $i] :
        ( ( c0_1 @ X97 )
        | ( c1_1 @ X97 )
        | ~ ( c3_1 @ X97 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl63]) ).

thf(zip_derived_cl38,plain,
    ! [X50: $i] :
      ( ( c0_1 @ X50 )
      | ~ ( c1_1 @ X50 )
      | ~ ( c3_1 @ X50 )
      | ~ ndr1_0
      | hskp12
      | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl343,plain,
    ( ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c1_1 @ X50 )
        | ~ ( c3_1 @ X50 ) )
   <= ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c1_1 @ X50 )
        | ~ ( c3_1 @ X50 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl1991,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ( c0_1 @ X0 )
        | ( c0_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ~ ( c1_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
      & ! [X97: $i] :
          ( ( c0_1 @ X97 )
          | ( c1_1 @ X97 )
          | ~ ( c3_1 @ X97 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl443,zip_derived_cl343]) ).

thf(zip_derived_cl2023,plain,
    ( ! [X0: $i] :
        ( ( c0_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ~ ( c1_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
      & ! [X97: $i] :
          ( ( c0_1 @ X97 )
          | ( c1_1 @ X97 )
          | ~ ( c3_1 @ X97 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1991]) ).

thf(zip_derived_cl288_011,plain,
    ( ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ~ ( c0_1 @ X22 )
        | ~ ( c2_1 @ X22 ) )
   <= ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ~ ( c0_1 @ X22 )
        | ~ ( c2_1 @ X22 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl232_012,plain,
    ( ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl912,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ~ ( c0_1 @ X22 )
          | ~ ( c2_1 @ X22 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl288,zip_derived_cl232]) ).

thf(zip_derived_cl945,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ~ ( c0_1 @ X22 )
          | ~ ( c2_1 @ X22 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl912]) ).

thf(zip_derived_cl2975,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ~ ( c0_1 @ X22 )
          | ~ ( c2_1 @ X22 ) )
      & ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ~ ( c1_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
      & ! [X97: $i] :
          ( ( c0_1 @ X97 )
          | ( c1_1 @ X97 )
          | ~ ( c3_1 @ X97 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2023,zip_derived_cl945]) ).

thf(zip_derived_cl5411,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 ) )
      & ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ~ ( c0_1 @ X22 )
          | ~ ( c2_1 @ X22 ) )
      & ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ~ ( c1_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
      & ! [X59: $i] :
          ( ( c0_1 @ X59 )
          | ( c3_1 @ X59 )
          | ~ ( c2_1 @ X59 ) )
      & ! [X97: $i] :
          ( ( c0_1 @ X97 )
          | ( c1_1 @ X97 )
          | ~ ( c3_1 @ X97 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1874,zip_derived_cl2975]) ).

thf(zip_derived_cl5445,plain,
    ( ! [X0: $i] :
        ~ ( c2_1 @ X0 )
   <= ( ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 ) )
      & ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ~ ( c0_1 @ X22 )
          | ~ ( c2_1 @ X22 ) )
      & ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ~ ( c1_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
      & ! [X59: $i] :
          ( ( c0_1 @ X59 )
          | ( c3_1 @ X59 )
          | ~ ( c2_1 @ X59 ) )
      & ! [X97: $i] :
          ( ( c0_1 @ X97 )
          | ( c1_1 @ X97 )
          | ~ ( c3_1 @ X97 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl5411]) ).

thf(zip_derived_cl553_013,plain,
    ( ( c1_1 @ a939 )
   <= ( c1_1 @ a939 ) ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf(zip_derived_cl244_014,plain,
    ( ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c1_1 @ X7 )
        | ~ ( c3_1 @ X7 ) )
   <= ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c1_1 @ X7 )
        | ~ ( c3_1 @ X7 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl1178,plain,
    ( ( ( c2_1 @ a939 )
      | ~ ( c3_1 @ a939 ) )
   <= ( ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c1_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
      & ( c1_1 @ a939 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl553,zip_derived_cl244]) ).

thf(zip_derived_cl3322,plain,
    ( ( c2_1 @ a939 )
   <= ( c2_1 @ a939 ) ),
    inference(split,[status(esa)],[zip_derived_cl1178]) ).

thf('27',plain,
    ( ~ ! [X97: $i] :
          ( ( c0_1 @ X97 )
          | ( c1_1 @ X97 )
          | ~ ( c3_1 @ X97 ) )
    | ~ ( c2_1 @ a939 )
    | ~ ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ~ ( c0_1 @ X22 )
          | ~ ( c2_1 @ X22 ) )
    | ~ ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ~ ( c1_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
    | ~ ! [X59: $i] :
          ( ( c0_1 @ X59 )
          | ( c3_1 @ X59 )
          | ~ ( c2_1 @ X59 ) )
    | ~ ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
    | ~ ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl5445,zip_derived_cl3322]) ).

thf(zip_derived_cl4,plain,
    ( hskp15
    | hskp22
    | hskp19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('28',plain,
    ( hskp15
    | hskp22
    | hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf(zip_derived_cl64,plain,
    ! [X98: $i] :
      ( ( c0_1 @ X98 )
      | ( c1_1 @ X98 )
      | ~ ( c3_1 @ X98 )
      | ~ ndr1_0
      | hskp5
      | hskp6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('29',plain,
    ( hskp6
    | hskp5
    | ~ ndr1_0
    | ! [X97: $i] :
        ( ( c0_1 @ X97 )
        | ( c1_1 @ X97 )
        | ~ ( c3_1 @ X97 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl64]) ).

thf(zip_derived_cl12,plain,
    ! [X5: $i,X6: $i] :
      ( ( c3_1 @ X5 )
      | ~ ( c0_1 @ X5 )
      | ~ ( c1_1 @ X5 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X6 )
      | ~ ( c2_1 @ X6 )
      | ~ ( c3_1 @ X6 )
      | ~ ndr1_0
      | hskp21 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('30',plain,
    ( hskp21
    | ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 ) )
    | ~ ndr1_0
    | ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl12]) ).

thf(zip_derived_cl101,plain,
    ( ~ hskp24
    | ( c1_1 @ a953 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl537,plain,
    ( ( c1_1 @ a953 )
   <= ( c1_1 @ a953 ) ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf(zip_derived_cl343_015,plain,
    ( ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c1_1 @ X50 )
        | ~ ( c3_1 @ X50 ) )
   <= ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c1_1 @ X50 )
        | ~ ( c3_1 @ X50 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl1466,plain,
    ( ( ( c0_1 @ a953 )
      | ~ ( c3_1 @ a953 ) )
   <= ( ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ~ ( c1_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
      & ( c1_1 @ a953 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl537,zip_derived_cl343]) ).

thf(zip_derived_cl4750,plain,
    ( ( c0_1 @ a953 )
   <= ( c0_1 @ a953 ) ),
    inference(split,[status(esa)],[zip_derived_cl1466]) ).

thf(zip_derived_cl15,plain,
    ! [X9: $i] :
      ( ( c2_1 @ X9 )
      | ~ ( c0_1 @ X9 )
      | ~ ( c3_1 @ X9 )
      | ~ ndr1_0
      | hskp1
      | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl252,plain,
    ( ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c3_1 @ X9 ) )
   <= ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c3_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl4780,plain,
    ( ( ( c2_1 @ a953 )
      | ~ ( c3_1 @ a953 ) )
   <= ( ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
      & ( c0_1 @ a953 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4750,zip_derived_cl252]) ).

thf('31',plain,
    ( ~ ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
    | ~ ( c3_1 @ a953 )
    | ~ ( c0_1 @ a953 )
    | ( c2_1 @ a953 ) ),
    inference(split,[status(esa)],[zip_derived_cl4780]) ).

thf(zip_derived_cl553_016,plain,
    ( ( c1_1 @ a939 )
   <= ( c1_1 @ a939 ) ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf(zip_derived_cl371_017,plain,
    ( ! [X61: $i] :
        ( ( c0_1 @ X61 )
        | ( c3_1 @ X61 )
        | ~ ( c1_1 @ X61 ) )
   <= ! [X61: $i] :
        ( ( c0_1 @ X61 )
        | ( c3_1 @ X61 )
        | ~ ( c1_1 @ X61 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl1744,plain,
    ( ( ( c0_1 @ a939 )
      | ( c3_1 @ a939 ) )
   <= ( ! [X61: $i] :
          ( ( c0_1 @ X61 )
          | ( c3_1 @ X61 )
          | ~ ( c1_1 @ X61 ) )
      & ( c1_1 @ a939 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl553,zip_derived_cl371]) ).

thf('32',plain,
    ( ( c0_1 @ a939 )
    | ~ ( c1_1 @ a939 )
    | ~ ! [X61: $i] :
          ( ( c0_1 @ X61 )
          | ( c3_1 @ X61 )
          | ~ ( c1_1 @ X61 ) )
    | ( c3_1 @ a939 ) ),
    inference(split,[status(esa)],[zip_derived_cl1744]) ).

thf(zip_derived_cl33,plain,
    ! [X39: $i,X40: $i] :
      ( ( c1_1 @ X39 )
      | ( c2_1 @ X39 )
      | ~ ( c0_1 @ X39 )
      | ~ ndr1_0
      | ( c2_1 @ X40 )
      | ~ ( c0_1 @ X40 )
      | ~ ( c3_1 @ X40 )
      | ~ ndr1_0
      | hskp22 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('33',plain,
    ( ! [X37: $i] :
        ( ( c1_1 @ X37 )
        | ( c2_1 @ X37 )
        | ~ ( c0_1 @ X37 ) )
    | hskp22
    | ~ ndr1_0
    | ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c3_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf(zip_derived_cl320,plain,
    ( ! [X37: $i] :
        ( ( c1_1 @ X37 )
        | ( c2_1 @ X37 )
        | ~ ( c0_1 @ X37 ) )
   <= ! [X37: $i] :
        ( ( c1_1 @ X37 )
        | ( c2_1 @ X37 )
        | ~ ( c0_1 @ X37 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl143,plain,
    ( ~ hskp14
    | ~ ( c1_1 @ a918 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl621,plain,
    ( ~ ( c1_1 @ a918 )
   <= ~ ( c1_1 @ a918 ) ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(zip_derived_cl1338,plain,
    ( ( ~ ( c0_1 @ a918 )
      | ( c2_1 @ a918 ) )
   <= ( ~ ( c1_1 @ a918 )
      & ! [X37: $i] :
          ( ( c1_1 @ X37 )
          | ( c2_1 @ X37 )
          | ~ ( c0_1 @ X37 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl320,zip_derived_cl621]) ).

thf('34',plain,
    ( ( c2_1 @ a918 )
    | ( c1_1 @ a918 )
    | ~ ! [X37: $i] :
          ( ( c1_1 @ X37 )
          | ( c2_1 @ X37 )
          | ~ ( c0_1 @ X37 ) )
    | ~ ( c0_1 @ a918 ) ),
    inference(split,[status(esa)],[zip_derived_cl1338]) ).

thf('35',plain,
    ( ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c2_1 @ X33 )
        | ~ ( c3_1 @ X33 ) )
    | ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c2_1 @ X47 )
        | ~ ( c3_1 @ X47 ) )
    | ~ ndr1_0
    | ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c1_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl312_018,plain,
    ( ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c2_1 @ X33 )
        | ~ ( c3_1 @ X33 ) )
   <= ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c2_1 @ X33 )
        | ~ ( c3_1 @ X33 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl621_019,plain,
    ( ~ ( c1_1 @ a918 )
   <= ~ ( c1_1 @ a918 ) ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(zip_derived_cl1209,plain,
    ( ( ~ ( c3_1 @ a918 )
      | ( c2_1 @ a918 ) )
   <= ( ~ ( c1_1 @ a918 )
      & ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ( c2_1 @ X33 )
          | ~ ( c3_1 @ X33 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl312,zip_derived_cl621]) ).

thf('36',plain,
    ( ( c2_1 @ a918 )
    | ( c1_1 @ a918 )
    | ~ ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ( c2_1 @ X33 )
          | ~ ( c3_1 @ X33 ) )
    | ~ ( c3_1 @ a918 ) ),
    inference(split,[status(esa)],[zip_derived_cl1209]) ).

thf(zip_derived_cl537_020,plain,
    ( ( c1_1 @ a953 )
   <= ( c1_1 @ a953 ) ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf(zip_derived_cl244_021,plain,
    ( ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c1_1 @ X7 )
        | ~ ( c3_1 @ X7 ) )
   <= ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c1_1 @ X7 )
        | ~ ( c3_1 @ X7 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl1157,plain,
    ( ( ( c2_1 @ a953 )
      | ~ ( c3_1 @ a953 ) )
   <= ( ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c1_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
      & ( c1_1 @ a953 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl537,zip_derived_cl244]) ).

thf('37',plain,
    ( ( c2_1 @ a953 )
    | ~ ( c1_1 @ a953 )
    | ~ ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c1_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
    | ~ ( c3_1 @ a953 ) ),
    inference(split,[status(esa)],[zip_derived_cl1157]) ).

thf(zip_derived_cl55,plain,
    ! [X79: $i,X80: $i,X81: $i] :
      ( ( c0_1 @ X79 )
      | ( c2_1 @ X79 )
      | ~ ( c3_1 @ X79 )
      | ~ ndr1_0
      | ( c1_1 @ X80 )
      | ( c3_1 @ X80 )
      | ~ ( c2_1 @ X80 )
      | ~ ndr1_0
      | ( c2_1 @ X81 )
      | ~ ( c1_1 @ X81 )
      | ~ ( c3_1 @ X81 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('38',plain,
    ( ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c1_1 @ X7 )
        | ~ ( c3_1 @ X7 ) )
    | ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ( c2_1 @ X65 )
        | ~ ( c3_1 @ X65 ) )
    | ~ ndr1_0
    | ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ( c3_1 @ X29 )
        | ~ ( c2_1 @ X29 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf(zip_derived_cl26,plain,
    ! [X26: $i,X27: $i,X28: $i] :
      ( ( c1_1 @ X26 )
      | ~ ( c0_1 @ X26 )
      | ~ ( c2_1 @ X26 )
      | ~ ndr1_0
      | ( c2_1 @ X27 )
      | ( c3_1 @ X27 )
      | ~ ( c0_1 @ X27 )
      | ~ ndr1_0
      | ( c2_1 @ X28 )
      | ~ ( c1_1 @ X28 )
      | ~ ( c3_1 @ X28 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('39',plain,
    ( ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c1_1 @ X7 )
        | ~ ( c3_1 @ X7 ) )
    | ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ~ ( c0_1 @ X22 )
        | ~ ( c2_1 @ X22 ) )
    | ~ ndr1_0
    | ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c0_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl26]) ).

thf(zip_derived_cl339_022,plain,
    ( ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c2_1 @ X47 )
        | ~ ( c3_1 @ X47 ) )
   <= ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c2_1 @ X47 )
        | ~ ( c3_1 @ X47 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl37]) ).

thf(zip_derived_cl693_023,plain,
    ( ~ ( c0_1 @ a905 )
   <= ~ ( c0_1 @ a905 ) ),
    inference(split,[status(esa)],[zip_derived_cl179]) ).

thf(zip_derived_cl1651,plain,
    ( ( ~ ( c3_1 @ a905 )
      | ~ ( c2_1 @ a905 ) )
   <= ( ~ ( c0_1 @ a905 )
      & ! [X47: $i] :
          ( ( c0_1 @ X47 )
          | ~ ( c2_1 @ X47 )
          | ~ ( c3_1 @ X47 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl339,zip_derived_cl693]) ).

thf('40',plain,
    ( ~ ! [X47: $i] :
          ( ( c0_1 @ X47 )
          | ~ ( c2_1 @ X47 )
          | ~ ( c3_1 @ X47 ) )
    | ~ ( c2_1 @ a905 )
    | ( c0_1 @ a905 )
    | ~ ( c3_1 @ a905 ) ),
    inference(split,[status(esa)],[zip_derived_cl1651]) ).

thf(zip_derived_cl689_024,plain,
    ( ( c1_1 @ a905 )
   <= ( c1_1 @ a905 ) ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf(zip_derived_cl244_025,plain,
    ( ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c1_1 @ X7 )
        | ~ ( c3_1 @ X7 ) )
   <= ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c1_1 @ X7 )
        | ~ ( c3_1 @ X7 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl1392,plain,
    ( ( ( c2_1 @ a905 )
      | ~ ( c3_1 @ a905 ) )
   <= ( ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c1_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
      & ( c1_1 @ a905 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl689,zip_derived_cl244]) ).

thf('41',plain,
    ( ( c2_1 @ a905 )
    | ~ ( c3_1 @ a905 )
    | ~ ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c1_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
    | ~ ( c1_1 @ a905 ) ),
    inference(split,[status(esa)],[zip_derived_cl1392]) ).

thf(zip_derived_cl117,plain,
    ( ~ hskp20
    | ( c2_1 @ a937 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('42',plain,
    ( ( c2_1 @ a937 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl117]) ).

thf(zip_derived_cl118,plain,
    ( ~ hskp20
    | ~ ( c0_1 @ a937 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('43',plain,
    ( ~ ( c0_1 @ a937 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl118]) ).

thf(zip_derived_cl119,plain,
    ( ~ hskp20
    | ~ ( c3_1 @ a937 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('44',plain,
    ( ~ ( c3_1 @ a937 )
    | ~ hskp20 ),
    inference(split,[status(esa)],[zip_derived_cl119]) ).

thf(zip_derived_cl363_026,plain,
    ( ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ( c3_1 @ X59 )
        | ~ ( c2_1 @ X59 ) )
   <= ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ( c3_1 @ X59 )
        | ~ ( c2_1 @ X59 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl571,plain,
    ( ~ ( c0_1 @ a937 )
   <= ~ ( c0_1 @ a937 ) ),
    inference(split,[status(esa)],[zip_derived_cl118]) ).

thf(zip_derived_cl1836,plain,
    ( ( ~ ( c2_1 @ a937 )
      | ( c3_1 @ a937 ) )
   <= ( ~ ( c0_1 @ a937 )
      & ! [X59: $i] :
          ( ( c0_1 @ X59 )
          | ( c3_1 @ X59 )
          | ~ ( c2_1 @ X59 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl363,zip_derived_cl571]) ).

thf('45',plain,
    ( ~ ! [X59: $i] :
          ( ( c0_1 @ X59 )
          | ( c3_1 @ X59 )
          | ~ ( c2_1 @ X59 ) )
    | ( c0_1 @ a937 )
    | ( c3_1 @ a937 )
    | ~ ( c2_1 @ a937 ) ),
    inference(split,[status(esa)],[zip_derived_cl1836]) ).

thf(zip_derived_cl48,plain,
    ! [X66: $i] :
      ( ( c0_1 @ X66 )
      | ( c2_1 @ X66 )
      | ~ ( c3_1 @ X66 )
      | ~ ndr1_0
      | hskp15
      | hskp5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('46',plain,
    ( ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ( c2_1 @ X65 )
        | ~ ( c3_1 @ X65 ) )
    | hskp5
    | hskp15
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf(zip_derived_cl36,plain,
    ! [X45: $i,X46: $i] :
      ( ( c1_1 @ X45 )
      | ( c2_1 @ X45 )
      | ( c3_1 @ X45 )
      | ~ ndr1_0
      | ( c3_1 @ X46 )
      | ~ ( c0_1 @ X46 )
      | ~ ( c2_1 @ X46 )
      | ~ ndr1_0
      | hskp20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('47',plain,
    ( hskp20
    | ! [X43: $i] :
        ( ( c1_1 @ X43 )
        | ( c2_1 @ X43 )
        | ( c3_1 @ X43 ) )
    | ~ ndr1_0
    | ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl36]) ).

thf(zip_derived_cl52,plain,
    ! [X72: $i,X73: $i] :
      ( ( c0_1 @ X72 )
      | ( c2_1 @ X72 )
      | ~ ( c3_1 @ X72 )
      | ~ ndr1_0
      | ( c3_1 @ X73 )
      | ~ ( c0_1 @ X73 )
      | ~ ( c1_1 @ X73 )
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('48',plain,
    ( ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ( c2_1 @ X65 )
        | ~ ( c3_1 @ X65 ) )
    | ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 ) )
    | ~ ndr1_0
    | hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl122,plain,
    ( ~ hskp19
    | ~ ( c0_1 @ a930 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('49',plain,
    ( ~ ( c0_1 @ a930 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl122]) ).

thf(zip_derived_cl443_027,plain,
    ( ! [X97: $i] :
        ( ( c0_1 @ X97 )
        | ( c1_1 @ X97 )
        | ~ ( c3_1 @ X97 ) )
   <= ! [X97: $i] :
        ( ( c0_1 @ X97 )
        | ( c1_1 @ X97 )
        | ~ ( c3_1 @ X97 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl63]) ).

thf(zip_derived_cl123,plain,
    ( ~ hskp19
    | ~ ( c1_1 @ a930 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl581,plain,
    ( ~ ( c1_1 @ a930 )
   <= ~ ( c1_1 @ a930 ) ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl2005,plain,
    ( ( ~ ( c3_1 @ a930 )
      | ( c0_1 @ a930 ) )
   <= ( ~ ( c1_1 @ a930 )
      & ! [X97: $i] :
          ( ( c0_1 @ X97 )
          | ( c1_1 @ X97 )
          | ~ ( c3_1 @ X97 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl443,zip_derived_cl581]) ).

thf('50',plain,
    ( ~ ! [X97: $i] :
          ( ( c0_1 @ X97 )
          | ( c1_1 @ X97 )
          | ~ ( c3_1 @ X97 ) )
    | ~ ( c3_1 @ a930 )
    | ( c1_1 @ a930 )
    | ( c0_1 @ a930 ) ),
    inference(split,[status(esa)],[zip_derived_cl2005]) ).

thf(zip_derived_cl193,plain,
    ( ~ hskp1
    | ( c1_1 @ a899 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl721,plain,
    ( ( c1_1 @ a899 )
   <= ( c1_1 @ a899 ) ),
    inference(split,[status(esa)],[zip_derived_cl193]) ).

thf(zip_derived_cl371_028,plain,
    ( ! [X61: $i] :
        ( ( c0_1 @ X61 )
        | ( c3_1 @ X61 )
        | ~ ( c1_1 @ X61 ) )
   <= ! [X61: $i] :
        ( ( c0_1 @ X61 )
        | ( c3_1 @ X61 )
        | ~ ( c1_1 @ X61 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl1738,plain,
    ( ( ( c0_1 @ a899 )
      | ( c3_1 @ a899 ) )
   <= ( ! [X61: $i] :
          ( ( c0_1 @ X61 )
          | ( c3_1 @ X61 )
          | ~ ( c1_1 @ X61 ) )
      & ( c1_1 @ a899 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl721,zip_derived_cl371]) ).

thf('51',plain,
    ( ( c3_1 @ a899 )
    | ( c0_1 @ a899 )
    | ~ ! [X61: $i] :
          ( ( c0_1 @ X61 )
          | ( c3_1 @ X61 )
          | ~ ( c1_1 @ X61 ) )
    | ~ ( c1_1 @ a899 ) ),
    inference(split,[status(esa)],[zip_derived_cl1738]) ).

thf(zip_derived_cl363_029,plain,
    ( ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ( c3_1 @ X59 )
        | ~ ( c2_1 @ X59 ) )
   <= ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ( c3_1 @ X59 )
        | ~ ( c2_1 @ X59 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl195,plain,
    ( ~ hskp1
    | ~ ( c0_1 @ a899 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl725,plain,
    ( ~ ( c0_1 @ a899 )
   <= ~ ( c0_1 @ a899 ) ),
    inference(split,[status(esa)],[zip_derived_cl195]) ).

thf(zip_derived_cl1818,plain,
    ( ( ~ ( c2_1 @ a899 )
      | ( c3_1 @ a899 ) )
   <= ( ~ ( c0_1 @ a899 )
      & ! [X59: $i] :
          ( ( c0_1 @ X59 )
          | ( c3_1 @ X59 )
          | ~ ( c2_1 @ X59 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl363,zip_derived_cl725]) ).

thf('52',plain,
    ( ( c3_1 @ a899 )
    | ( c0_1 @ a899 )
    | ~ ! [X59: $i] :
          ( ( c0_1 @ X59 )
          | ( c3_1 @ X59 )
          | ~ ( c2_1 @ X59 ) )
    | ~ ( c2_1 @ a899 ) ),
    inference(split,[status(esa)],[zip_derived_cl1818]) ).

thf(zip_derived_cl721_030,plain,
    ( ( c1_1 @ a899 )
   <= ( c1_1 @ a899 ) ),
    inference(split,[status(esa)],[zip_derived_cl193]) ).

thf(zip_derived_cl343_031,plain,
    ( ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c1_1 @ X50 )
        | ~ ( c3_1 @ X50 ) )
   <= ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c1_1 @ X50 )
        | ~ ( c3_1 @ X50 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl1459,plain,
    ( ( ( c0_1 @ a899 )
      | ~ ( c3_1 @ a899 ) )
   <= ( ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ~ ( c1_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
      & ( c1_1 @ a899 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl721,zip_derived_cl343]) ).

thf('53',plain,
    ( ~ ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ~ ( c1_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
    | ~ ( c3_1 @ a899 )
    | ~ ( c1_1 @ a899 )
    | ( c0_1 @ a899 ) ),
    inference(split,[status(esa)],[zip_derived_cl1459]) ).

thf('54',plain,
    ( hskp5
    | hskp1
    | ~ ndr1_0
    | ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c3_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf('55',plain,
    ( ( c1_1 @ a905 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf(zip_derived_cl178,plain,
    ( ~ hskp5
    | ( c3_1 @ a905 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('56',plain,
    ( ( c3_1 @ a905 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl178]) ).

thf('57',plain,
    ( ~ ( c0_1 @ a905 )
    | ~ hskp5 ),
    inference(split,[status(esa)],[zip_derived_cl179]) ).

thf(zip_derived_cl689_032,plain,
    ( ( c1_1 @ a905 )
   <= ( c1_1 @ a905 ) ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf(zip_derived_cl343_033,plain,
    ( ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c1_1 @ X50 )
        | ~ ( c3_1 @ X50 ) )
   <= ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c1_1 @ X50 )
        | ~ ( c3_1 @ X50 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl1460,plain,
    ( ( ( c0_1 @ a905 )
      | ~ ( c3_1 @ a905 ) )
   <= ( ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ~ ( c1_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
      & ( c1_1 @ a905 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl689,zip_derived_cl343]) ).

thf('58',plain,
    ( ~ ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ~ ( c1_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
    | ~ ( c1_1 @ a905 )
    | ( c0_1 @ a905 )
    | ~ ( c3_1 @ a905 ) ),
    inference(split,[status(esa)],[zip_derived_cl1460]) ).

thf(zip_derived_cl14,plain,
    ! [X8: $i] :
      ( ( c2_1 @ X8 )
      | ~ ( c1_1 @ X8 )
      | ~ ( c3_1 @ X8 )
      | ~ ndr1_0
      | hskp12
      | hskp6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('59',plain,
    ( hskp6
    | ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c1_1 @ X7 )
        | ~ ( c3_1 @ X7 ) )
    | hskp12
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl14]) ).

thf(zip_derived_cl173,plain,
    ( ~ hskp6
    | ( c2_1 @ a906 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('60',plain,
    ( ( c2_1 @ a906 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl173]) ).

thf(zip_derived_cl174,plain,
    ( ~ hskp6
    | ( c3_1 @ a906 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('61',plain,
    ( ( c3_1 @ a906 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf('62',plain,
    ( ~ ( c1_1 @ a906 )
    | ~ hskp6 ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl21,plain,
    ! [X17: $i] :
      ( ( c1_1 @ X17 )
      | ~ ( c2_1 @ X17 )
      | ~ ( c3_1 @ X17 )
      | ~ ndr1_0
      | hskp24
      | hskp17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl275,plain,
    ( ! [X17: $i] :
        ( ( c1_1 @ X17 )
        | ~ ( c2_1 @ X17 )
        | ~ ( c3_1 @ X17 ) )
   <= ! [X17: $i] :
        ( ( c1_1 @ X17 )
        | ~ ( c2_1 @ X17 )
        | ~ ( c3_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl685_034,plain,
    ( ~ ( c1_1 @ a906 )
   <= ~ ( c1_1 @ a906 ) ),
    inference(split,[status(esa)],[zip_derived_cl175]) ).

thf(zip_derived_cl805,plain,
    ( ( ~ ( c3_1 @ a906 )
      | ~ ( c2_1 @ a906 ) )
   <= ( ~ ( c1_1 @ a906 )
      & ! [X17: $i] :
          ( ( c1_1 @ X17 )
          | ~ ( c2_1 @ X17 )
          | ~ ( c3_1 @ X17 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl275,zip_derived_cl685]) ).

thf('63',plain,
    ( ~ ! [X17: $i] :
          ( ( c1_1 @ X17 )
          | ~ ( c2_1 @ X17 )
          | ~ ( c3_1 @ X17 ) )
    | ~ ( c2_1 @ a906 )
    | ( c1_1 @ a906 )
    | ~ ( c3_1 @ a906 ) ),
    inference(split,[status(esa)],[zip_derived_cl805]) ).

thf(zip_derived_cl54,plain,
    ! [X76: $i,X77: $i,X78: $i] :
      ( ( c0_1 @ X76 )
      | ( c2_1 @ X76 )
      | ~ ( c3_1 @ X76 )
      | ~ ndr1_0
      | ( c1_1 @ X77 )
      | ~ ( c0_1 @ X77 )
      | ~ ( c3_1 @ X77 )
      | ~ ndr1_0
      | ( c2_1 @ X78 )
      | ~ ( c0_1 @ X78 )
      | ~ ( c1_1 @ X78 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('64',plain,
    ( ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ( c2_1 @ X65 )
        | ~ ( c3_1 @ X65 ) )
    | ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ~ ( c0_1 @ X12 )
        | ~ ( c1_1 @ X12 ) )
    | ~ ndr1_0
    | ! [X20: $i] :
        ( ( c1_1 @ X20 )
        | ~ ( c0_1 @ X20 )
        | ~ ( c3_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf(zip_derived_cl284_035,plain,
    ( ! [X20: $i] :
        ( ( c1_1 @ X20 )
        | ~ ( c0_1 @ X20 )
        | ~ ( c3_1 @ X20 ) )
   <= ! [X20: $i] :
        ( ( c1_1 @ X20 )
        | ~ ( c0_1 @ X20 )
        | ~ ( c3_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl146,plain,
    ( ~ hskp13
    | ~ ( c1_1 @ a914 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl627,plain,
    ( ~ ( c1_1 @ a914 )
   <= ~ ( c1_1 @ a914 ) ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf(zip_derived_cl877,plain,
    ( ( ~ ( c3_1 @ a914 )
      | ~ ( c0_1 @ a914 ) )
   <= ( ~ ( c1_1 @ a914 )
      & ! [X20: $i] :
          ( ( c1_1 @ X20 )
          | ~ ( c0_1 @ X20 )
          | ~ ( c3_1 @ X20 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl284,zip_derived_cl627]) ).

thf('65',plain,
    ( ( c1_1 @ a914 )
    | ~ ( c0_1 @ a914 )
    | ~ ! [X20: $i] :
          ( ( c1_1 @ X20 )
          | ~ ( c0_1 @ X20 )
          | ~ ( c3_1 @ X20 ) )
    | ~ ( c3_1 @ a914 ) ),
    inference(split,[status(esa)],[zip_derived_cl877]) ).

thf(zip_derived_cl443_036,plain,
    ( ! [X97: $i] :
        ( ( c0_1 @ X97 )
        | ( c1_1 @ X97 )
        | ~ ( c3_1 @ X97 ) )
   <= ! [X97: $i] :
        ( ( c0_1 @ X97 )
        | ( c1_1 @ X97 )
        | ~ ( c3_1 @ X97 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl63]) ).

thf(zip_derived_cl627_037,plain,
    ( ~ ( c1_1 @ a914 )
   <= ~ ( c1_1 @ a914 ) ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf(zip_derived_cl2002,plain,
    ( ( ~ ( c3_1 @ a914 )
      | ( c0_1 @ a914 ) )
   <= ( ~ ( c1_1 @ a914 )
      & ! [X97: $i] :
          ( ( c0_1 @ X97 )
          | ( c1_1 @ X97 )
          | ~ ( c3_1 @ X97 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl443,zip_derived_cl627]) ).

thf('66',plain,
    ( ( c0_1 @ a914 )
    | ( c1_1 @ a914 )
    | ~ ! [X97: $i] :
          ( ( c0_1 @ X97 )
          | ( c1_1 @ X97 )
          | ~ ( c3_1 @ X97 ) )
    | ~ ( c3_1 @ a914 ) ),
    inference(split,[status(esa)],[zip_derived_cl2002]) ).

thf(zip_derived_cl65,plain,
    ! [X99: $i,X100: $i] :
      ( ( c0_1 @ X99 )
      | ( c1_1 @ X99 )
      | ~ ( c3_1 @ X99 )
      | ~ ndr1_0
      | ( c2_1 @ X100 )
      | ~ ( c0_1 @ X100 )
      | ~ ( c3_1 @ X100 )
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('67',plain,
    ( hskp4
    | ! [X97: $i] :
        ( ( c0_1 @ X97 )
        | ( c1_1 @ X97 )
        | ~ ( c3_1 @ X97 ) )
    | ~ ndr1_0
    | ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c3_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl65]) ).

thf(zip_derived_cl31,plain,
    ! [X35: $i,X36: $i] :
      ( ( c1_1 @ X35 )
      | ( c2_1 @ X35 )
      | ~ ( c3_1 @ X35 )
      | ~ ndr1_0
      | ( c1_1 @ X36 )
      | ( c3_1 @ X36 )
      | ~ ( c2_1 @ X36 )
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('68',plain,
    ( ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c2_1 @ X33 )
        | ~ ( c3_1 @ X33 ) )
    | hskp12
    | ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ( c3_1 @ X29 )
        | ~ ( c2_1 @ X29 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl31]) ).

thf(zip_derived_cl499_038,plain,
    ( ( c1_1 @ a911 )
   <= ( c1_1 @ a911 ) ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl260,plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ~ ( c0_1 @ X12 )
        | ~ ( c1_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ~ ( c0_1 @ X12 )
        | ~ ( c1_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl1094,plain,
    ( ( ( c2_1 @ a911 )
      | ~ ( c0_1 @ a911 ) )
   <= ( ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ~ ( c0_1 @ X12 )
          | ~ ( c1_1 @ X12 ) )
      & ( c1_1 @ a911 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl499,zip_derived_cl260]) ).

thf('69',plain,
    ( ( c2_1 @ a911 )
    | ~ ( c1_1 @ a911 )
    | ~ ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ~ ( c0_1 @ X12 )
          | ~ ( c1_1 @ X12 ) )
    | ~ ( c0_1 @ a911 ) ),
    inference(split,[status(esa)],[zip_derived_cl1094]) ).

thf(zip_derived_cl601_039,plain,
    ( ( c1_1 @ a923 )
   <= ( c1_1 @ a923 ) ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf(zip_derived_cl236_040,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_cl11]) ).

thf(zip_derived_cl1269,plain,
    ( ( ( c3_1 @ a923 )
      | ~ ( c0_1 @ a923 ) )
   <= ( ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 ) )
      & ( c1_1 @ a923 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl601,zip_derived_cl236]) ).

thf('70',plain,
    ( ~ ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 ) )
    | ~ ( c0_1 @ a923 )
    | ( c3_1 @ a923 )
    | ~ ( c1_1 @ a923 ) ),
    inference(split,[status(esa)],[zip_derived_cl1269]) ).

thf(zip_derived_cl46,plain,
    ! [X62: $i,X63: $i,X64: $i] :
      ( ( c0_1 @ X62 )
      | ( c3_1 @ X62 )
      | ~ ( c1_1 @ X62 )
      | ~ ndr1_0
      | ( c0_1 @ X63 )
      | ~ ( c2_1 @ X63 )
      | ~ ( c3_1 @ X63 )
      | ~ ndr1_0
      | ( c1_1 @ X64 )
      | ( c3_1 @ X64 )
      | ~ ( c2_1 @ X64 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('71',plain,
    ( ! [X61: $i] :
        ( ( c0_1 @ X61 )
        | ( c3_1 @ X61 )
        | ~ ( c1_1 @ X61 ) )
    | ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c2_1 @ X47 )
        | ~ ( c3_1 @ X47 ) )
    | ~ ndr1_0
    | ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ( c3_1 @ X29 )
        | ~ ( c2_1 @ X29 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl46]) ).

thf(zip_derived_cl157,plain,
    ( ~ hskp10
    | ( c1_1 @ a910 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl649,plain,
    ( ( c1_1 @ a910 )
   <= ( c1_1 @ a910 ) ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl343_041,plain,
    ( ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c1_1 @ X50 )
        | ~ ( c3_1 @ X50 ) )
   <= ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c1_1 @ X50 )
        | ~ ( c3_1 @ X50 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl1461,plain,
    ( ( ( c0_1 @ a910 )
      | ~ ( c3_1 @ a910 ) )
   <= ( ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ~ ( c1_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
      & ( c1_1 @ a910 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl649,zip_derived_cl343]) ).

thf('72',plain,
    ( ( c0_1 @ a910 )
    | ~ ( c3_1 @ a910 )
    | ~ ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ~ ( c1_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
    | ~ ( c1_1 @ a910 ) ),
    inference(split,[status(esa)],[zip_derived_cl1461]) ).

thf(zip_derived_cl332_042,plain,
    ( ! [X43: $i] :
        ( ( c1_1 @ X43 )
        | ( c2_1 @ X43 )
        | ( c3_1 @ X43 ) )
   <= ! [X43: $i] :
        ( ( c1_1 @ X43 )
        | ( c2_1 @ X43 )
        | ( c3_1 @ X43 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl659_043,plain,
    ( ~ ( c1_1 @ a909 )
   <= ~ ( c1_1 @ a909 ) ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf(zip_derived_cl1544,plain,
    ( ( ( c3_1 @ a909 )
      | ( c2_1 @ a909 ) )
   <= ( ~ ( c1_1 @ a909 )
      & ! [X43: $i] :
          ( ( c1_1 @ X43 )
          | ( c2_1 @ X43 )
          | ( c3_1 @ X43 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl332,zip_derived_cl659]) ).

thf('73',plain,
    ( ~ ! [X43: $i] :
          ( ( c1_1 @ X43 )
          | ( c2_1 @ X43 )
          | ( c3_1 @ X43 ) )
    | ( c3_1 @ a909 )
    | ( c2_1 @ a909 )
    | ( c1_1 @ a909 ) ),
    inference(split,[status(esa)],[zip_derived_cl1544]) ).

thf(zip_derived_cl161,plain,
    ( ~ hskp9
    | ~ ( c0_1 @ a909 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('74',plain,
    ( ~ ( c0_1 @ a909 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf('75',plain,
    ( ~ ( c1_1 @ a909 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl162]) ).

thf(zip_derived_cl163,plain,
    ( ~ hskp9
    | ~ ( c2_1 @ a909 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('76',plain,
    ( ~ ( c2_1 @ a909 )
    | ~ hskp9 ),
    inference(split,[status(esa)],[zip_derived_cl163]) ).

thf('77',plain,
    ( hskp9
    | ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
    | ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf('78',plain,
    ( hskp21
    | ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
    | ! [X43: $i] :
        ( ( c1_1 @ X43 )
        | ( c2_1 @ X43 )
        | ( c3_1 @ X43 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl379_044,plain,
    ( ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ( c2_1 @ X65 )
        | ~ ( c3_1 @ X65 ) )
   <= ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ( c2_1 @ X65 )
        | ~ ( c3_1 @ X65 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(zip_derived_cl657,plain,
    ( ~ ( c0_1 @ a909 )
   <= ~ ( c0_1 @ a909 ) ),
    inference(split,[status(esa)],[zip_derived_cl161]) ).

thf(zip_derived_cl1903,plain,
    ( ( ~ ( c3_1 @ a909 )
      | ( c2_1 @ a909 ) )
   <= ( ~ ( c0_1 @ a909 )
      & ! [X65: $i] :
          ( ( c0_1 @ X65 )
          | ( c2_1 @ X65 )
          | ~ ( c3_1 @ X65 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl379,zip_derived_cl657]) ).

thf('79',plain,
    ( ~ ( c3_1 @ a909 )
    | ( c0_1 @ a909 )
    | ~ ! [X65: $i] :
          ( ( c0_1 @ X65 )
          | ( c2_1 @ X65 )
          | ~ ( c3_1 @ X65 ) )
    | ( c2_1 @ a909 ) ),
    inference(split,[status(esa)],[zip_derived_cl1903]) ).

thf(zip_derived_cl601_045,plain,
    ( ( c1_1 @ a923 )
   <= ( c1_1 @ a923 ) ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf(zip_derived_cl391_046,plain,
    ( ! [X69: $i] :
        ( ( c3_1 @ X69 )
        | ~ ( c1_1 @ X69 )
        | ~ ( c2_1 @ X69 ) )
   <= ! [X69: $i] :
        ( ( c3_1 @ X69 )
        | ~ ( c1_1 @ X69 )
        | ~ ( c2_1 @ X69 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl1594,plain,
    ( ( ( c3_1 @ a923 )
      | ~ ( c2_1 @ a923 ) )
   <= ( ! [X69: $i] :
          ( ( c3_1 @ X69 )
          | ~ ( c1_1 @ X69 )
          | ~ ( c2_1 @ X69 ) )
      & ( c1_1 @ a923 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl601,zip_derived_cl391]) ).

thf('80',plain,
    ( ~ ! [X69: $i] :
          ( ( c3_1 @ X69 )
          | ~ ( c1_1 @ X69 )
          | ~ ( c2_1 @ X69 ) )
    | ~ ( c1_1 @ a923 )
    | ( c3_1 @ a923 )
    | ~ ( c2_1 @ a923 ) ),
    inference(split,[status(esa)],[zip_derived_cl1594]) ).

thf(zip_derived_cl41,plain,
    ! [X55: $i,X56: $i] :
      ( ( c0_1 @ X55 )
      | ~ ( c1_1 @ X55 )
      | ~ ( c2_1 @ X55 )
      | ~ ndr1_0
      | ( c3_1 @ X56 )
      | ~ ( c0_1 @ X56 )
      | ~ ( c2_1 @ X56 )
      | ~ ndr1_0
      | hskp15 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('81',plain,
    ( hskp15
    | ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ~ ( c1_1 @ X53 )
        | ~ ( c2_1 @ X53 ) )
    | ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl41]) ).

thf(zip_derived_cl601_047,plain,
    ( ( c1_1 @ a923 )
   <= ( c1_1 @ a923 ) ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf(zip_derived_cl232_048,plain,
    ( ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl1268,plain,
    ( ( ~ ( c0_1 @ a923 )
      | ~ ( c2_1 @ a923 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ( c1_1 @ a923 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl601,zip_derived_cl232]) ).

thf('82',plain,
    ( ~ ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
    | ~ ( c0_1 @ a923 )
    | ~ ( c2_1 @ a923 )
    | ~ ( c1_1 @ a923 ) ),
    inference(split,[status(esa)],[zip_derived_cl1268]) ).

thf(zip_derived_cl138,plain,
    ( ~ hskp15
    | ( c1_1 @ a921 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl611,plain,
    ( ( c1_1 @ a921 )
   <= ( c1_1 @ a921 ) ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf(zip_derived_cl232_049,plain,
    ( ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl1291,plain,
    ( ( ~ ( c0_1 @ a921 )
      | ~ ( c2_1 @ a921 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ( c1_1 @ a921 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl611,zip_derived_cl232]) ).

thf('83',plain,
    ( ~ ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
    | ~ ( c2_1 @ a921 )
    | ~ ( c1_1 @ a921 )
    | ~ ( c0_1 @ a921 ) ),
    inference(split,[status(esa)],[zip_derived_cl1291]) ).

thf('84',plain,
    ( ( c1_1 @ a923 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf(zip_derived_cl134,plain,
    ( ~ hskp16
    | ( c2_1 @ a923 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('85',plain,
    ( ( c2_1 @ a923 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl134]) ).

thf(zip_derived_cl135,plain,
    ( ~ hskp16
    | ~ ( c3_1 @ a923 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('86',plain,
    ( ~ ( c3_1 @ a923 )
    | ~ hskp16 ),
    inference(split,[status(esa)],[zip_derived_cl135]) ).

thf('87',plain,
    ( hskp16
    | hskp10
    | ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl51,plain,
    ! [X70: $i,X71: $i] :
      ( ( c0_1 @ X70 )
      | ( c2_1 @ X70 )
      | ~ ( c3_1 @ X70 )
      | ~ ndr1_0
      | ( c3_1 @ X71 )
      | ~ ( c0_1 @ X71 )
      | ~ ( c2_1 @ X71 )
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('88',plain,
    ( ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ( c2_1 @ X65 )
        | ~ ( c3_1 @ X65 ) )
    | hskp12
    | ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf(zip_derived_cl27,plain,
    ! [X29: $i] :
      ( ( c1_1 @ X29 )
      | ( c3_1 @ X29 )
      | ~ ( c2_1 @ X29 )
      | ~ ndr1_0
      | hskp29
      | hskp15 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl299,plain,
    ( ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ( c3_1 @ X29 )
        | ~ ( c2_1 @ X29 ) )
   <= ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ( c3_1 @ X29 )
        | ~ ( c2_1 @ X29 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl150,plain,
    ( ~ hskp12
    | ~ ( c1_1 @ a913 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl635,plain,
    ( ~ ( c1_1 @ a913 )
   <= ~ ( c1_1 @ a913 ) ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf(zip_derived_cl1022,plain,
    ( ( ~ ( c2_1 @ a913 )
      | ( c3_1 @ a913 ) )
   <= ( ~ ( c1_1 @ a913 )
      & ! [X29: $i] :
          ( ( c1_1 @ X29 )
          | ( c3_1 @ X29 )
          | ~ ( c2_1 @ X29 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl299,zip_derived_cl635]) ).

thf('89',plain,
    ( ~ ! [X29: $i] :
          ( ( c1_1 @ X29 )
          | ( c3_1 @ X29 )
          | ~ ( c2_1 @ X29 ) )
    | ~ ( c2_1 @ a913 )
    | ( c3_1 @ a913 )
    | ( c1_1 @ a913 ) ),
    inference(split,[status(esa)],[zip_derived_cl1022]) ).

thf('90',plain,
    ( ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ( c2_1 @ X65 )
        | ~ ( c3_1 @ X65 ) )
    | ! [X69: $i] :
        ( ( c3_1 @ X69 )
        | ~ ( c1_1 @ X69 )
        | ~ ( c2_1 @ X69 ) )
    | hskp14
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf(zip_derived_cl39,plain,
    ! [X51: $i,X52: $i] :
      ( ( c0_1 @ X51 )
      | ~ ( c1_1 @ X51 )
      | ~ ( c3_1 @ X51 )
      | ~ ndr1_0
      | ( c3_1 @ X52 )
      | ~ ( c0_1 @ X52 )
      | ~ ( c2_1 @ X52 )
      | ~ ndr1_0
      | hskp14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('91',plain,
    ( hskp14
    | ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c1_1 @ X50 )
        | ~ ( c3_1 @ X50 ) )
    | ~ ndr1_0
    | ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf(zip_derived_cl141,plain,
    ( ~ hskp14
    | ( c0_1 @ a918 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl617,plain,
    ( ( c0_1 @ a918 )
   <= ( c0_1 @ a918 ) ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf(zip_derived_cl252_050,plain,
    ( ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c3_1 @ X9 ) )
   <= ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c3_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl1300,plain,
    ( ( ( c2_1 @ a918 )
      | ~ ( c3_1 @ a918 ) )
   <= ( ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
      & ( c0_1 @ a918 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl617,zip_derived_cl252]) ).

thf('92',plain,
    ( ~ ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
    | ~ ( c0_1 @ a918 )
    | ~ ( c3_1 @ a918 )
    | ( c2_1 @ a918 ) ),
    inference(split,[status(esa)],[zip_derived_cl1300]) ).

thf(zip_derived_cl617_051,plain,
    ( ( c0_1 @ a918 )
   <= ( c0_1 @ a918 ) ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i] :
      ( ~ ( c0_1 @ X0 )
      | ~ ( c2_1 @ X0 )
      | ~ ( c3_1 @ X0 )
      | ~ ndr1_0
      | hskp13
      | hskp2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl224,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl1298,plain,
    ( ( ~ ( c2_1 @ a918 )
      | ~ ( c3_1 @ a918 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c0_1 @ a918 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl617,zip_derived_cl224]) ).

thf('93',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c2_1 @ a918 )
    | ~ ( c0_1 @ a918 )
    | ~ ( c3_1 @ a918 ) ),
    inference(split,[status(esa)],[zip_derived_cl1298]) ).

thf(zip_derived_cl129,plain,
    ( ~ hskp17
    | ( c1_1 @ a928 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl593,plain,
    ( ( c1_1 @ a928 )
   <= ( c1_1 @ a928 ) ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf(zip_derived_cl260_052,plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ~ ( c0_1 @ X12 )
        | ~ ( c1_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ~ ( c0_1 @ X12 )
        | ~ ( c1_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl1264,plain,
    ( ( ( c2_1 @ a928 )
      | ~ ( c0_1 @ a928 ) )
   <= ( ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ~ ( c0_1 @ X12 )
          | ~ ( c1_1 @ X12 ) )
      & ( c1_1 @ a928 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl593,zip_derived_cl260]) ).

thf('94',plain,
    ( ~ ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ~ ( c0_1 @ X12 )
          | ~ ( c1_1 @ X12 ) )
    | ~ ( c0_1 @ a928 )
    | ~ ( c1_1 @ a928 )
    | ( c2_1 @ a928 ) ),
    inference(split,[status(esa)],[zip_derived_cl1264]) ).

thf(zip_derived_cl593_053,plain,
    ( ( c1_1 @ a928 )
   <= ( c1_1 @ a928 ) ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf(zip_derived_cl18,plain,
    ! [X13: $i] :
      ( ( c2_1 @ X13 )
      | ( c3_1 @ X13 )
      | ~ ( c1_1 @ X13 )
      | ~ ndr1_0
      | hskp25 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl264,plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c1_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c1_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl1265,plain,
    ( ( ( c2_1 @ a928 )
      | ( c3_1 @ a928 ) )
   <= ( ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ( c3_1 @ X13 )
          | ~ ( c1_1 @ X13 ) )
      & ( c1_1 @ a928 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl593,zip_derived_cl264]) ).

thf('95',plain,
    ( ~ ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ( c3_1 @ X13 )
          | ~ ( c1_1 @ X13 ) )
    | ~ ( c1_1 @ a928 )
    | ( c2_1 @ a928 )
    | ( c3_1 @ a928 ) ),
    inference(split,[status(esa)],[zip_derived_cl1265]) ).

thf(zip_derived_cl44,plain,
    ! [X60: $i] :
      ( ( c0_1 @ X60 )
      | ( c3_1 @ X60 )
      | ~ ( c2_1 @ X60 )
      | ~ ndr1_0
      | hskp0
      | hskp17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('96',plain,
    ( hskp17
    | ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ( c3_1 @ X59 )
        | ~ ( c2_1 @ X59 ) )
    | ~ ndr1_0
    | hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl44]) ).

thf(zip_derived_cl111,plain,
    ( ~ hskp22
    | ~ ( c3_1 @ a939 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('97',plain,
    ( ~ hskp22
    | ~ ( c3_1 @ a939 ) ),
    inference(split,[status(esa)],[zip_derived_cl111]) ).

thf(zip_derived_cl363_054,plain,
    ( ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ( c3_1 @ X59 )
        | ~ ( c2_1 @ X59 ) )
   <= ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ( c3_1 @ X59 )
        | ~ ( c2_1 @ X59 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl110,plain,
    ( ~ hskp22
    | ~ ( c0_1 @ a939 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl555,plain,
    ( ~ ( c0_1 @ a939 )
   <= ~ ( c0_1 @ a939 ) ),
    inference(split,[status(esa)],[zip_derived_cl110]) ).

thf(zip_derived_cl1837,plain,
    ( ( ~ ( c2_1 @ a939 )
      | ( c3_1 @ a939 ) )
   <= ( ~ ( c0_1 @ a939 )
      & ! [X59: $i] :
          ( ( c0_1 @ X59 )
          | ( c3_1 @ X59 )
          | ~ ( c2_1 @ X59 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl363,zip_derived_cl555]) ).

thf('98',plain,
    ( ( c0_1 @ a939 )
    | ~ ( c2_1 @ a939 )
    | ~ ! [X59: $i] :
          ( ( c0_1 @ X59 )
          | ( c3_1 @ X59 )
          | ~ ( c2_1 @ X59 ) )
    | ( c3_1 @ a939 ) ),
    inference(split,[status(esa)],[zip_derived_cl1837]) ).

thf('99',plain,
    ( hskp12
    | ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c1_1 @ X50 )
        | ~ ( c3_1 @ X50 ) )
    | hskp10
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl1874_055,plain,
    ( ! [X0: $i] :
        ( ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 ) )
      & ! [X59: $i] :
          ( ( c0_1 @ X59 )
          | ( c3_1 @ X59 )
          | ~ ( c2_1 @ X59 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1814]) ).

thf(zip_derived_cl339_056,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_cl37]) ).

thf(zip_derived_cl224_057,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl1643,plain,
    ( ! [X0: $i] :
        ( ~ ( c3_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X47: $i] :
          ( ( c0_1 @ X47 )
          | ~ ( c2_1 @ X47 )
          | ~ ( c3_1 @ X47 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl339,zip_derived_cl224]) ).

thf(zip_derived_cl1703,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X47: $i] :
          ( ( c0_1 @ X47 )
          | ~ ( c2_1 @ X47 )
          | ~ ( c3_1 @ X47 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1643]) ).

thf(zip_derived_cl2928,plain,
    ( ! [X0: $i] :
        ( ~ ( c2_1 @ X0 )
        | ~ ( c2_1 @ X0 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 ) )
      & ! [X47: $i] :
          ( ( c0_1 @ X47 )
          | ~ ( c2_1 @ X47 )
          | ~ ( c3_1 @ X47 ) )
      & ! [X59: $i] :
          ( ( c0_1 @ X59 )
          | ( c3_1 @ X59 )
          | ~ ( c2_1 @ X59 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1874,zip_derived_cl1703]) ).

thf(zip_derived_cl2965,plain,
    ( ! [X0: $i] :
        ~ ( c2_1 @ X0 )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 ) )
      & ! [X47: $i] :
          ( ( c0_1 @ X47 )
          | ~ ( c2_1 @ X47 )
          | ~ ( c3_1 @ X47 ) )
      & ! [X59: $i] :
          ( ( c0_1 @ X59 )
          | ( c3_1 @ X59 )
          | ~ ( c2_1 @ X59 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2928]) ).

thf(zip_derived_cl194,plain,
    ( ~ hskp1
    | ( c2_1 @ a899 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl723,plain,
    ( ( c2_1 @ a899 )
   <= ( c2_1 @ a899 ) ),
    inference(split,[status(esa)],[zip_derived_cl194]) ).

thf('100',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ! [X47: $i] :
          ( ( c0_1 @ X47 )
          | ~ ( c2_1 @ X47 )
          | ~ ( c3_1 @ X47 ) )
    | ~ ! [X59: $i] :
          ( ( c0_1 @ X59 )
          | ( c3_1 @ X59 )
          | ~ ( c2_1 @ X59 ) )
    | ~ ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 ) )
    | ~ ( c2_1 @ a899 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2965,zip_derived_cl723]) ).

thf(zip_derived_cl339_058,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_cl37]) ).

thf(zip_derived_cl73,plain,
    ( ~ hskp31
    | ( c1_1 @ a957 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl481,plain,
    ( ( c1_1 @ a957 )
   <= ( c1_1 @ a957 ) ),
    inference(split,[status(esa)],[zip_derived_cl73]) ).

thf(zip_derived_cl232_059,plain,
    ( ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl1049,plain,
    ( ( ~ ( c0_1 @ a957 )
      | ~ ( c2_1 @ a957 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ( c1_1 @ a957 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl481,zip_derived_cl232]) ).

thf(zip_derived_cl1233,plain,
    ( ~ ( c0_1 @ a957 )
   <= ~ ( c0_1 @ a957 ) ),
    inference(split,[status(esa)],[zip_derived_cl1049]) ).

thf(zip_derived_cl1674,plain,
    ( ( ~ ( c3_1 @ a957 )
      | ~ ( c2_1 @ a957 ) )
   <= ( ~ ( c0_1 @ a957 )
      & ! [X47: $i] :
          ( ( c0_1 @ X47 )
          | ~ ( c2_1 @ X47 )
          | ~ ( c3_1 @ X47 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl339,zip_derived_cl1233]) ).

thf('101',plain,
    ( ( c0_1 @ a957 )
    | ~ ! [X47: $i] :
          ( ( c0_1 @ X47 )
          | ~ ( c2_1 @ X47 )
          | ~ ( c3_1 @ X47 ) )
    | ~ ( c2_1 @ a957 )
    | ~ ( c3_1 @ a957 ) ),
    inference(split,[status(esa)],[zip_derived_cl1674]) ).

thf(zip_derived_cl481_060,plain,
    ( ( c1_1 @ a957 )
   <= ( c1_1 @ a957 ) ),
    inference(split,[status(esa)],[zip_derived_cl73]) ).

thf(zip_derived_cl279_061,plain,
    ( ! [X19: $i] :
        ( ~ ( c0_1 @ X19 )
        | ~ ( c1_1 @ X19 )
        | ~ ( c3_1 @ X19 ) )
   <= ! [X19: $i] :
        ( ~ ( c0_1 @ X19 )
        | ~ ( c1_1 @ X19 )
        | ~ ( c3_1 @ X19 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl1054,plain,
    ( ( ~ ( c0_1 @ a957 )
      | ~ ( c3_1 @ a957 ) )
   <= ( ! [X19: $i] :
          ( ~ ( c0_1 @ X19 )
          | ~ ( c1_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
      & ( c1_1 @ a957 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl481,zip_derived_cl279]) ).

thf('102',plain,
    ( ~ ! [X19: $i] :
          ( ~ ( c0_1 @ X19 )
          | ~ ( c1_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
    | ~ ( c0_1 @ a957 )
    | ~ ( c3_1 @ a957 )
    | ~ ( c1_1 @ a957 ) ),
    inference(split,[status(esa)],[zip_derived_cl1054]) ).

thf(zip_derived_cl275_062,plain,
    ( ! [X17: $i] :
        ( ( c1_1 @ X17 )
        | ~ ( c2_1 @ X17 )
        | ~ ( c3_1 @ X17 ) )
   <= ! [X17: $i] :
        ( ( c1_1 @ X17 )
        | ~ ( c2_1 @ X17 )
        | ~ ( c3_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl127,plain,
    ( ~ hskp18
    | ~ ( c1_1 @ a929 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl589,plain,
    ( ~ ( c1_1 @ a929 )
   <= ~ ( c1_1 @ a929 ) ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl812,plain,
    ( ( ~ ( c3_1 @ a929 )
      | ~ ( c2_1 @ a929 ) )
   <= ( ~ ( c1_1 @ a929 )
      & ! [X17: $i] :
          ( ( c1_1 @ X17 )
          | ~ ( c2_1 @ X17 )
          | ~ ( c3_1 @ X17 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl275,zip_derived_cl589]) ).

thf('103',plain,
    ( ~ ! [X17: $i] :
          ( ( c1_1 @ X17 )
          | ~ ( c2_1 @ X17 )
          | ~ ( c3_1 @ X17 ) )
    | ~ ( c3_1 @ a929 )
    | ( c1_1 @ a929 )
    | ~ ( c2_1 @ a929 ) ),
    inference(split,[status(esa)],[zip_derived_cl812]) ).

thf(zip_derived_cl299_063,plain,
    ( ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ( c3_1 @ X29 )
        | ~ ( c2_1 @ X29 ) )
   <= ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ( c3_1 @ X29 )
        | ~ ( c2_1 @ X29 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl589_064,plain,
    ( ~ ( c1_1 @ a929 )
   <= ~ ( c1_1 @ a929 ) ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl1025,plain,
    ( ( ~ ( c2_1 @ a929 )
      | ( c3_1 @ a929 ) )
   <= ( ~ ( c1_1 @ a929 )
      & ! [X29: $i] :
          ( ( c1_1 @ X29 )
          | ( c3_1 @ X29 )
          | ~ ( c2_1 @ X29 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl299,zip_derived_cl589]) ).

thf('104',plain,
    ( ( c3_1 @ a929 )
    | ~ ! [X29: $i] :
          ( ( c1_1 @ X29 )
          | ( c3_1 @ X29 )
          | ~ ( c2_1 @ X29 ) )
    | ( c1_1 @ a929 )
    | ~ ( c2_1 @ a929 ) ),
    inference(split,[status(esa)],[zip_derived_cl1025]) ).

thf(zip_derived_cl275_065,plain,
    ( ! [X17: $i] :
        ( ( c1_1 @ X17 )
        | ~ ( c2_1 @ X17 )
        | ~ ( c3_1 @ X17 ) )
   <= ! [X17: $i] :
        ( ( c1_1 @ X17 )
        | ~ ( c2_1 @ X17 )
        | ~ ( c3_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl581_066,plain,
    ( ~ ( c1_1 @ a930 )
   <= ~ ( c1_1 @ a930 ) ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl813,plain,
    ( ( ~ ( c3_1 @ a930 )
      | ~ ( c2_1 @ a930 ) )
   <= ( ~ ( c1_1 @ a930 )
      & ! [X17: $i] :
          ( ( c1_1 @ X17 )
          | ~ ( c2_1 @ X17 )
          | ~ ( c3_1 @ X17 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl275,zip_derived_cl581]) ).

thf('105',plain,
    ( ~ ! [X17: $i] :
          ( ( c1_1 @ X17 )
          | ~ ( c2_1 @ X17 )
          | ~ ( c3_1 @ X17 ) )
    | ~ ( c3_1 @ a930 )
    | ( c1_1 @ a930 )
    | ~ ( c2_1 @ a930 ) ),
    inference(split,[status(esa)],[zip_derived_cl813]) ).

thf(zip_derived_cl121,plain,
    ( ~ hskp19
    | ( c2_1 @ a930 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('106',plain,
    ( ( c2_1 @ a930 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl121]) ).

thf('107',plain,
    ( ~ ( c1_1 @ a930 )
    | ~ hskp19 ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl299_067,plain,
    ( ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ( c3_1 @ X29 )
        | ~ ( c2_1 @ X29 ) )
   <= ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ( c3_1 @ X29 )
        | ~ ( c2_1 @ X29 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl581_068,plain,
    ( ~ ( c1_1 @ a930 )
   <= ~ ( c1_1 @ a930 ) ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl1026,plain,
    ( ( ~ ( c2_1 @ a930 )
      | ( c3_1 @ a930 ) )
   <= ( ~ ( c1_1 @ a930 )
      & ! [X29: $i] :
          ( ( c1_1 @ X29 )
          | ( c3_1 @ X29 )
          | ~ ( c2_1 @ X29 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl299,zip_derived_cl581]) ).

thf('108',plain,
    ( ~ ! [X29: $i] :
          ( ( c1_1 @ X29 )
          | ( c3_1 @ X29 )
          | ~ ( c2_1 @ X29 ) )
    | ( c3_1 @ a930 )
    | ( c1_1 @ a930 )
    | ~ ( c2_1 @ a930 ) ),
    inference(split,[status(esa)],[zip_derived_cl1026]) ).

thf('109',plain,
    ( hskp19
    | hskp18
    | ~ ndr1_0
    | ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ( c3_1 @ X59 )
        | ~ ( c2_1 @ X59 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf(zip_derived_cl481_069,plain,
    ( ( c1_1 @ a957 )
   <= ( c1_1 @ a957 ) ),
    inference(split,[status(esa)],[zip_derived_cl73]) ).

thf(zip_derived_cl343_070,plain,
    ( ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c1_1 @ X50 )
        | ~ ( c3_1 @ X50 ) )
   <= ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c1_1 @ X50 )
        | ~ ( c3_1 @ X50 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl38]) ).

thf(zip_derived_cl1469,plain,
    ( ( ( c0_1 @ a957 )
      | ~ ( c3_1 @ a957 ) )
   <= ( ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ~ ( c1_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
      & ( c1_1 @ a957 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl481,zip_derived_cl343]) ).

thf('110',plain,
    ( ~ ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ~ ( c1_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
    | ( c0_1 @ a957 )
    | ~ ( c3_1 @ a957 )
    | ~ ( c1_1 @ a957 ) ),
    inference(split,[status(esa)],[zip_derived_cl1469]) ).

thf(zip_derived_cl332_071,plain,
    ( ! [X43: $i] :
        ( ( c1_1 @ X43 )
        | ( c2_1 @ X43 )
        | ( c3_1 @ X43 ) )
   <= ! [X43: $i] :
        ( ( c1_1 @ X43 )
        | ( c2_1 @ X43 )
        | ( c3_1 @ X43 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl635_072,plain,
    ( ~ ( c1_1 @ a913 )
   <= ~ ( c1_1 @ a913 ) ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf(zip_derived_cl1546,plain,
    ( ( ( c3_1 @ a913 )
      | ( c2_1 @ a913 ) )
   <= ( ~ ( c1_1 @ a913 )
      & ! [X43: $i] :
          ( ( c1_1 @ X43 )
          | ( c2_1 @ X43 )
          | ( c3_1 @ X43 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl332,zip_derived_cl635]) ).

thf('111',plain,
    ( ( c2_1 @ a913 )
    | ~ ! [X43: $i] :
          ( ( c1_1 @ X43 )
          | ( c2_1 @ X43 )
          | ( c3_1 @ X43 ) )
    | ( c3_1 @ a913 )
    | ( c1_1 @ a913 ) ),
    inference(split,[status(esa)],[zip_derived_cl1546]) ).

thf(zip_derived_cl19,plain,
    ! [X14: $i,X15: $i] :
      ( ( c2_1 @ X14 )
      | ( c3_1 @ X14 )
      | ~ ( c1_1 @ X14 )
      | ~ ndr1_0
      | ( c2_1 @ X15 )
      | ~ ( c0_1 @ X15 )
      | ~ ( c1_1 @ X15 )
      | ~ ndr1_0
      | hskp31 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('112',plain,
    ( hskp31
    | ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c1_1 @ X13 ) )
    | ~ ndr1_0
    | ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ~ ( c0_1 @ X12 )
        | ~ ( c1_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl20,plain,
    ! [X16: $i] :
      ( ( c2_1 @ X16 )
      | ( c3_1 @ X16 )
      | ~ ( c0_1 @ X16 )
      | ~ ndr1_0
      | hskp10
      | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('113',plain,
    ( hskp7
    | hskp10
    | ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c0_1 @ X16 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl537_073,plain,
    ( ( c1_1 @ a953 )
   <= ( c1_1 @ a953 ) ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf(zip_derived_cl279_074,plain,
    ( ! [X19: $i] :
        ( ~ ( c0_1 @ X19 )
        | ~ ( c1_1 @ X19 )
        | ~ ( c3_1 @ X19 ) )
   <= ! [X19: $i] :
        ( ~ ( c0_1 @ X19 )
        | ~ ( c1_1 @ X19 )
        | ~ ( c3_1 @ X19 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl1160,plain,
    ( ( ~ ( c0_1 @ a953 )
      | ~ ( c3_1 @ a953 ) )
   <= ( ! [X19: $i] :
          ( ~ ( c0_1 @ X19 )
          | ~ ( c1_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
      & ( c1_1 @ a953 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl537,zip_derived_cl279]) ).

thf('114',plain,
    ( ~ ! [X19: $i] :
          ( ~ ( c0_1 @ X19 )
          | ~ ( c1_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
    | ~ ( c0_1 @ a953 )
    | ~ ( c3_1 @ a953 )
    | ~ ( c1_1 @ a953 ) ),
    inference(split,[status(esa)],[zip_derived_cl1160]) ).

thf('115',plain,
    ( ( c1_1 @ a953 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf(zip_derived_cl102,plain,
    ( ~ hskp24
    | ( c3_1 @ a953 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('116',plain,
    ( ( c3_1 @ a953 )
    | ~ hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl102]) ).

thf(zip_derived_cl103,plain,
    ( ~ hskp24
    | ~ ( c2_1 @ a953 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('117',plain,
    ( ~ hskp24
    | ~ ( c2_1 @ a953 ) ),
    inference(split,[status(esa)],[zip_derived_cl103]) ).

thf(zip_derived_cl593_075,plain,
    ( ( c1_1 @ a928 )
   <= ( c1_1 @ a928 ) ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf(zip_derived_cl415_076,plain,
    ( ! [X82: $i] :
        ( ( c0_1 @ X82 )
        | ( c2_1 @ X82 )
        | ~ ( c1_1 @ X82 ) )
   <= ! [X82: $i] :
        ( ( c0_1 @ X82 )
        | ( c2_1 @ X82 )
        | ~ ( c1_1 @ X82 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl56]) ).

thf(zip_derived_cl1791,plain,
    ( ( ( c0_1 @ a928 )
      | ( c2_1 @ a928 ) )
   <= ( ! [X82: $i] :
          ( ( c0_1 @ X82 )
          | ( c2_1 @ X82 )
          | ~ ( c1_1 @ X82 ) )
      & ( c1_1 @ a928 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl593,zip_derived_cl415]) ).

thf('118',plain,
    ( ( c0_1 @ a928 )
    | ~ ! [X82: $i] :
          ( ( c0_1 @ X82 )
          | ( c2_1 @ X82 )
          | ~ ( c1_1 @ X82 ) )
    | ~ ( c1_1 @ a928 )
    | ( c2_1 @ a928 ) ),
    inference(split,[status(esa)],[zip_derived_cl1791]) ).

thf(zip_derived_cl131,plain,
    ( ~ hskp17
    | ~ ( c3_1 @ a928 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('119',plain,
    ( ~ ( c3_1 @ a928 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl131]) ).

thf(zip_derived_cl593_077,plain,
    ( ( c1_1 @ a928 )
   <= ( c1_1 @ a928 ) ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf(zip_derived_cl236_078,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_cl11]) ).

thf(zip_derived_cl1262,plain,
    ( ( ( c3_1 @ a928 )
      | ~ ( c0_1 @ a928 ) )
   <= ( ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 ) )
      & ( c1_1 @ a928 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl593,zip_derived_cl236]) ).

thf('120',plain,
    ( ~ ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 ) )
    | ~ ( c0_1 @ a928 )
    | ~ ( c1_1 @ a928 )
    | ( c3_1 @ a928 ) ),
    inference(split,[status(esa)],[zip_derived_cl1262]) ).

thf('121',plain,
    ( ( c1_1 @ a928 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf(zip_derived_cl130,plain,
    ( ~ hskp17
    | ~ ( c2_1 @ a928 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('122',plain,
    ( ~ ( c2_1 @ a928 )
    | ~ hskp17 ),
    inference(split,[status(esa)],[zip_derived_cl130]) ).

thf('123',plain,
    ( hskp17
    | ! [X17: $i] :
        ( ( c1_1 @ X17 )
        | ~ ( c2_1 @ X17 )
        | ~ ( c3_1 @ X17 ) )
    | hskp24
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl2,plain,
    ( hskp3
    | hskp24
    | hskp25 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('124',plain,
    ( hskp25
    | hskp3
    | hskp24 ),
    inference(split,[status(esa)],[zip_derived_cl2]) ).

thf(zip_derived_cl59,plain,
    ! [X87: $i,X88: $i] :
      ( ( c0_1 @ X87 )
      | ( c2_1 @ X87 )
      | ~ ( c1_1 @ X87 )
      | ~ ndr1_0
      | ( c1_1 @ X88 )
      | ( c2_1 @ X88 )
      | ( c3_1 @ X88 )
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('125',plain,
    ( ! [X82: $i] :
        ( ( c0_1 @ X82 )
        | ( c2_1 @ X82 )
        | ~ ( c1_1 @ X82 ) )
    | ! [X43: $i] :
        ( ( c1_1 @ X43 )
        | ( c2_1 @ X43 )
        | ( c3_1 @ X43 ) )
    | ~ ndr1_0
    | hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl499_079,plain,
    ( ( c1_1 @ a911 )
   <= ( c1_1 @ a911 ) ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl279_080,plain,
    ( ! [X19: $i] :
        ( ~ ( c0_1 @ X19 )
        | ~ ( c1_1 @ X19 )
        | ~ ( c3_1 @ X19 ) )
   <= ! [X19: $i] :
        ( ~ ( c0_1 @ X19 )
        | ~ ( c1_1 @ X19 )
        | ~ ( c3_1 @ X19 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl1096,plain,
    ( ( ~ ( c0_1 @ a911 )
      | ~ ( c3_1 @ a911 ) )
   <= ( ! [X19: $i] :
          ( ~ ( c0_1 @ X19 )
          | ~ ( c1_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
      & ( c1_1 @ a911 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl499,zip_derived_cl279]) ).

thf('126',plain,
    ( ~ ! [X19: $i] :
          ( ~ ( c0_1 @ X19 )
          | ~ ( c1_1 @ X19 )
          | ~ ( c3_1 @ X19 ) )
    | ~ ( c1_1 @ a911 )
    | ~ ( c3_1 @ a911 )
    | ~ ( c0_1 @ a911 ) ),
    inference(split,[status(esa)],[zip_derived_cl1096]) ).

thf('127',plain,
    ( hskp28
    | ! [X19: $i] :
        ( ~ ( c0_1 @ X19 )
        | ~ ( c1_1 @ X19 )
        | ~ ( c3_1 @ X19 ) )
    | ~ ndr1_0
    | ! [X17: $i] :
        ( ( c1_1 @ X17 )
        | ~ ( c2_1 @ X17 )
        | ~ ( c3_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl67,plain,
    ! [X103: $i,X104: $i] :
      ( ( c0_1 @ X103 )
      | ( c1_1 @ X103 )
      | ~ ( c2_1 @ X103 )
      | ~ ndr1_0
      | ( c3_1 @ X104 )
      | ~ ( c0_1 @ X104 )
      | ~ ( c1_1 @ X104 )
      | ~ ndr1_0
      | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('128',plain,
    ( hskp1
    | ! [X103: $i] :
        ( ( c0_1 @ X103 )
        | ( c1_1 @ X103 )
        | ~ ( c2_1 @ X103 ) )
    | ~ ndr1_0
    | ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl67]) ).

thf(zip_derived_cl275_081,plain,
    ( ! [X17: $i] :
        ( ( c1_1 @ X17 )
        | ~ ( c2_1 @ X17 )
        | ~ ( c3_1 @ X17 ) )
   <= ! [X17: $i] :
        ( ( c1_1 @ X17 )
        | ~ ( c2_1 @ X17 )
        | ~ ( c3_1 @ X17 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl171,plain,
    ( ~ hskp7
    | ~ ( c1_1 @ a907 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl677,plain,
    ( ~ ( c1_1 @ a907 )
   <= ~ ( c1_1 @ a907 ) ),
    inference(split,[status(esa)],[zip_derived_cl171]) ).

thf(zip_derived_cl806,plain,
    ( ( ~ ( c3_1 @ a907 )
      | ~ ( c2_1 @ a907 ) )
   <= ( ~ ( c1_1 @ a907 )
      & ! [X17: $i] :
          ( ( c1_1 @ X17 )
          | ~ ( c2_1 @ X17 )
          | ~ ( c3_1 @ X17 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl275,zip_derived_cl677]) ).

thf('129',plain,
    ( ~ ! [X17: $i] :
          ( ( c1_1 @ X17 )
          | ~ ( c2_1 @ X17 )
          | ~ ( c3_1 @ X17 ) )
    | ~ ( c2_1 @ a907 )
    | ( c1_1 @ a907 )
    | ~ ( c3_1 @ a907 ) ),
    inference(split,[status(esa)],[zip_derived_cl806]) ).

thf(zip_derived_cl379_082,plain,
    ( ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ( c2_1 @ X65 )
        | ~ ( c3_1 @ X65 ) )
   <= ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ( c2_1 @ X65 )
        | ~ ( c3_1 @ X65 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(zip_derived_cl537_083,plain,
    ( ( c1_1 @ a953 )
   <= ( c1_1 @ a953 ) ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf(zip_derived_cl232_084,plain,
    ( ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
   <= ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl1155,plain,
    ( ( ~ ( c0_1 @ a953 )
      | ~ ( c2_1 @ a953 ) )
   <= ( ! [X3: $i] :
          ( ~ ( c0_1 @ X3 )
          | ~ ( c1_1 @ X3 )
          | ~ ( c2_1 @ X3 ) )
      & ( c1_1 @ a953 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl537,zip_derived_cl232]) ).

thf(zip_derived_cl1376,plain,
    ( ~ ( c0_1 @ a953 )
   <= ~ ( c0_1 @ a953 ) ),
    inference(split,[status(esa)],[zip_derived_cl1155]) ).

thf(zip_derived_cl1916,plain,
    ( ( ~ ( c3_1 @ a953 )
      | ( c2_1 @ a953 ) )
   <= ( ~ ( c0_1 @ a953 )
      & ! [X65: $i] :
          ( ( c0_1 @ X65 )
          | ( c2_1 @ X65 )
          | ~ ( c3_1 @ X65 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl379,zip_derived_cl1376]) ).

thf('130',plain,
    ( ( c0_1 @ a953 )
    | ~ ( c3_1 @ a953 )
    | ~ ! [X65: $i] :
          ( ( c0_1 @ X65 )
          | ( c2_1 @ X65 )
          | ~ ( c3_1 @ X65 ) )
    | ( c2_1 @ a953 ) ),
    inference(split,[status(esa)],[zip_derived_cl1916]) ).

thf(zip_derived_cl49,plain,
    ! [X67: $i] :
      ( ( c0_1 @ X67 )
      | ( c2_1 @ X67 )
      | ~ ( c3_1 @ X67 )
      | ~ ndr1_0
      | hskp30
      | hskp1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('131',plain,
    ( ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ( c2_1 @ X65 )
        | ~ ( c3_1 @ X65 ) )
    | hskp1
    | ~ ndr1_0
    | hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf(zip_derived_cl553_085,plain,
    ( ( c1_1 @ a939 )
   <= ( c1_1 @ a939 ) ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf(zip_derived_cl40,plain,
    ! [X53: $i,X54: $i] :
      ( ( c0_1 @ X53 )
      | ~ ( c1_1 @ X53 )
      | ~ ( c2_1 @ X53 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X54 )
      | ~ ( c1_1 @ X54 )
      | ~ ( c3_1 @ X54 )
      | ~ ndr1_0
      | hskp9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl352,plain,
    ( ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ~ ( c1_1 @ X53 )
        | ~ ( c2_1 @ X53 ) )
   <= ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ~ ( c1_1 @ X53 )
        | ~ ( c2_1 @ X53 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl1511,plain,
    ( ( ( c0_1 @ a939 )
      | ~ ( c2_1 @ a939 ) )
   <= ( ! [X53: $i] :
          ( ( c0_1 @ X53 )
          | ~ ( c1_1 @ X53 )
          | ~ ( c2_1 @ X53 ) )
      & ( c1_1 @ a939 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl553,zip_derived_cl352]) ).

thf('132',plain,
    ( ~ ! [X53: $i] :
          ( ( c0_1 @ X53 )
          | ~ ( c1_1 @ X53 )
          | ~ ( c2_1 @ X53 ) )
    | ~ ( c2_1 @ a939 )
    | ~ ( c1_1 @ a939 )
    | ( c0_1 @ a939 ) ),
    inference(split,[status(esa)],[zip_derived_cl1511]) ).

thf('133',plain,
    ( ( c1_1 @ a939 )
    | ~ hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf('134',plain,
    ( ~ hskp22
    | ~ ( c0_1 @ a939 ) ),
    inference(split,[status(esa)],[zip_derived_cl110]) ).

thf(zip_derived_cl1,plain,
    ( hskp23
    | hskp26
    | hskp22 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('135',plain,
    ( hskp23
    | hskp26
    | hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl7,plain,
    ( hskp29
    | hskp31
    | hskp27 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('136',plain,
    ( hskp31
    | hskp29
    | hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl93,plain,
    ( ~ hskp26
    | ( c0_1 @ a969 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('137',plain,
    ( ( c0_1 @ a969 )
    | ~ hskp26 ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf(zip_derived_cl81,plain,
    ( ~ hskp29
    | ( c0_1 @ a911 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('138',plain,
    ( ( c0_1 @ a911 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf(zip_derived_cl197,plain,
    ( ~ hskp0
    | ( c0_1 @ a898 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl729,plain,
    ( ( c0_1 @ a898 )
   <= ( c0_1 @ a898 ) ),
    inference(split,[status(esa)],[zip_derived_cl197]) ).

thf(zip_derived_cl271,plain,
    ( ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c0_1 @ X16 ) )
   <= ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c0_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl1423,plain,
    ( ( ( c2_1 @ a898 )
      | ( c3_1 @ a898 ) )
   <= ( ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ( c3_1 @ X16 )
          | ~ ( c0_1 @ X16 ) )
      & ( c0_1 @ a898 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl729,zip_derived_cl271]) ).

thf('139',plain,
    ( ~ ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ( c3_1 @ X16 )
          | ~ ( c0_1 @ X16 ) )
    | ( c3_1 @ a898 )
    | ~ ( c0_1 @ a898 )
    | ( c2_1 @ a898 ) ),
    inference(split,[status(esa)],[zip_derived_cl1423]) ).

thf(zip_derived_cl729_086,plain,
    ( ( c0_1 @ a898 )
   <= ( c0_1 @ a898 ) ),
    inference(split,[status(esa)],[zip_derived_cl197]) ).

thf(zip_derived_cl228_087,plain,
    ( ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl1421,plain,
    ( ( ( c3_1 @ a898 )
      | ~ ( c2_1 @ a898 ) )
   <= ( ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 ) )
      & ( c0_1 @ a898 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl729,zip_derived_cl228]) ).

thf('140',plain,
    ( ~ ( c2_1 @ a898 )
    | ( c3_1 @ a898 )
    | ~ ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 ) )
    | ~ ( c0_1 @ a898 ) ),
    inference(split,[status(esa)],[zip_derived_cl1421]) ).

thf(zip_derived_cl729_088,plain,
    ( ( c0_1 @ a898 )
   <= ( c0_1 @ a898 ) ),
    inference(split,[status(esa)],[zip_derived_cl197]) ).

thf(zip_derived_cl224_089,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl1420,plain,
    ( ( ~ ( c2_1 @ a898 )
      | ~ ( c3_1 @ a898 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c0_1 @ a898 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl729,zip_derived_cl224]) ).

thf('141',plain,
    ( ~ ( c3_1 @ a898 )
    | ~ ( c2_1 @ a898 )
    | ~ ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c0_1 @ a898 ) ),
    inference(split,[status(esa)],[zip_derived_cl1420]) ).

thf(zip_derived_cl729_090,plain,
    ( ( c0_1 @ a898 )
   <= ( c0_1 @ a898 ) ),
    inference(split,[status(esa)],[zip_derived_cl197]) ).

thf(zip_derived_cl252_091,plain,
    ( ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c3_1 @ X9 ) )
   <= ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c3_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl1422,plain,
    ( ( ( c2_1 @ a898 )
      | ~ ( c3_1 @ a898 ) )
   <= ( ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
      & ( c0_1 @ a898 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl729,zip_derived_cl252]) ).

thf('142',plain,
    ( ~ ( c3_1 @ a898 )
    | ~ ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
    | ~ ( c0_1 @ a898 )
    | ( c2_1 @ a898 ) ),
    inference(split,[status(esa)],[zip_derived_cl1422]) ).

thf(zip_derived_cl521,plain,
    ( ( c0_1 @ a969 )
   <= ( c0_1 @ a969 ) ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf(zip_derived_cl271_092,plain,
    ( ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c0_1 @ X16 ) )
   <= ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c0_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl1152,plain,
    ( ( ( c2_1 @ a969 )
      | ( c3_1 @ a969 ) )
   <= ( ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ( c3_1 @ X16 )
          | ~ ( c0_1 @ X16 ) )
      & ( c0_1 @ a969 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl521,zip_derived_cl271]) ).

thf('143',plain,
    ( ( c3_1 @ a969 )
    | ( c2_1 @ a969 )
    | ~ ( c0_1 @ a969 )
    | ~ ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ( c3_1 @ X16 )
          | ~ ( c0_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl1152]) ).

thf(zip_derived_cl521_093,plain,
    ( ( c0_1 @ a969 )
   <= ( c0_1 @ a969 ) ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf(zip_derived_cl224_094,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl1149,plain,
    ( ( ~ ( c2_1 @ a969 )
      | ~ ( c3_1 @ a969 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c0_1 @ a969 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl521,zip_derived_cl224]) ).

thf('144',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c2_1 @ a969 )
    | ~ ( c0_1 @ a969 )
    | ~ ( c3_1 @ a969 ) ),
    inference(split,[status(esa)],[zip_derived_cl1149]) ).

thf(zip_derived_cl521_095,plain,
    ( ( c0_1 @ a969 )
   <= ( c0_1 @ a969 ) ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf(zip_derived_cl252_096,plain,
    ( ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c3_1 @ X9 ) )
   <= ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c3_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl1151,plain,
    ( ( ( c2_1 @ a969 )
      | ~ ( c3_1 @ a969 ) )
   <= ( ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
      & ( c0_1 @ a969 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl521,zip_derived_cl252]) ).

thf('145',plain,
    ( ~ ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
    | ~ ( c3_1 @ a969 )
    | ~ ( c0_1 @ a969 )
    | ( c2_1 @ a969 ) ),
    inference(split,[status(esa)],[zip_derived_cl1151]) ).

thf(zip_derived_cl521_097,plain,
    ( ( c0_1 @ a969 )
   <= ( c0_1 @ a969 ) ),
    inference(split,[status(esa)],[zip_derived_cl93]) ).

thf(zip_derived_cl228_098,plain,
    ( ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl1150,plain,
    ( ( ( c3_1 @ a969 )
      | ~ ( c2_1 @ a969 ) )
   <= ( ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 ) )
      & ( c0_1 @ a969 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl521,zip_derived_cl228]) ).

thf('146',plain,
    ( ( c3_1 @ a969 )
    | ~ ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 ) )
    | ~ ( c2_1 @ a969 )
    | ~ ( c0_1 @ a969 ) ),
    inference(split,[status(esa)],[zip_derived_cl1150]) ).

thf(zip_derived_cl137,plain,
    ( ~ hskp15
    | ( c0_1 @ a921 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl609,plain,
    ( ( c0_1 @ a921 )
   <= ( c0_1 @ a921 ) ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(zip_derived_cl228_099,plain,
    ( ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl1276,plain,
    ( ( ( c3_1 @ a921 )
      | ~ ( c2_1 @ a921 ) )
   <= ( ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 ) )
      & ( c0_1 @ a921 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl609,zip_derived_cl228]) ).

thf('147',plain,
    ( ~ ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 ) )
    | ~ ( c2_1 @ a921 )
    | ~ ( c0_1 @ a921 )
    | ( c3_1 @ a921 ) ),
    inference(split,[status(esa)],[zip_derived_cl1276]) ).

thf(zip_derived_cl609_100,plain,
    ( ( c0_1 @ a921 )
   <= ( c0_1 @ a921 ) ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(zip_derived_cl224_101,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl1275,plain,
    ( ( ~ ( c2_1 @ a921 )
      | ~ ( c3_1 @ a921 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c0_1 @ a921 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl609,zip_derived_cl224]) ).

thf('148',plain,
    ( ~ ( c3_1 @ a921 )
    | ~ ( c2_1 @ a921 )
    | ~ ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c0_1 @ a921 ) ),
    inference(split,[status(esa)],[zip_derived_cl1275]) ).

thf(zip_derived_cl609_102,plain,
    ( ( c0_1 @ a921 )
   <= ( c0_1 @ a921 ) ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(zip_derived_cl252_103,plain,
    ( ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c3_1 @ X9 ) )
   <= ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c3_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl1277,plain,
    ( ( ( c2_1 @ a921 )
      | ~ ( c3_1 @ a921 ) )
   <= ( ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
      & ( c0_1 @ a921 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl609,zip_derived_cl252]) ).

thf('149',plain,
    ( ~ ( c3_1 @ a921 )
    | ~ ( c0_1 @ a921 )
    | ~ ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
    | ( c2_1 @ a921 ) ),
    inference(split,[status(esa)],[zip_derived_cl1277]) ).

thf(zip_derived_cl609_104,plain,
    ( ( c0_1 @ a921 )
   <= ( c0_1 @ a921 ) ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(zip_derived_cl271_105,plain,
    ( ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c0_1 @ X16 ) )
   <= ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c0_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl1278,plain,
    ( ( ( c2_1 @ a921 )
      | ( c3_1 @ a921 ) )
   <= ( ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ( c3_1 @ X16 )
          | ~ ( c0_1 @ X16 ) )
      & ( c0_1 @ a921 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl609,zip_derived_cl271]) ).

thf('150',plain,
    ( ~ ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ( c3_1 @ X16 )
          | ~ ( c0_1 @ X16 ) )
    | ~ ( c0_1 @ a921 )
    | ( c3_1 @ a921 )
    | ( c2_1 @ a921 ) ),
    inference(split,[status(esa)],[zip_derived_cl1278]) ).

thf(zip_derived_cl497,plain,
    ( ( c0_1 @ a911 )
   <= ( c0_1 @ a911 ) ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf(zip_derived_cl228_106,plain,
    ( ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl1088,plain,
    ( ( ( c3_1 @ a911 )
      | ~ ( c2_1 @ a911 ) )
   <= ( ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 ) )
      & ( c0_1 @ a911 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl497,zip_derived_cl228]) ).

thf('151',plain,
    ( ( c3_1 @ a911 )
    | ~ ( c0_1 @ a911 )
    | ~ ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 ) )
    | ~ ( c2_1 @ a911 ) ),
    inference(split,[status(esa)],[zip_derived_cl1088]) ).

thf(zip_derived_cl497_107,plain,
    ( ( c0_1 @ a911 )
   <= ( c0_1 @ a911 ) ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf(zip_derived_cl224_108,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl1087,plain,
    ( ( ~ ( c2_1 @ a911 )
      | ~ ( c3_1 @ a911 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c0_1 @ a911 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl497,zip_derived_cl224]) ).

thf('152',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c2_1 @ a911 )
    | ~ ( c0_1 @ a911 )
    | ~ ( c3_1 @ a911 ) ),
    inference(split,[status(esa)],[zip_derived_cl1087]) ).

thf(zip_derived_cl497_109,plain,
    ( ( c0_1 @ a911 )
   <= ( c0_1 @ a911 ) ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf(zip_derived_cl252_110,plain,
    ( ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c3_1 @ X9 ) )
   <= ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c3_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl1089,plain,
    ( ( ( c2_1 @ a911 )
      | ~ ( c3_1 @ a911 ) )
   <= ( ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
      & ( c0_1 @ a911 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl497,zip_derived_cl252]) ).

thf('153',plain,
    ( ( c2_1 @ a911 )
    | ~ ( c0_1 @ a911 )
    | ~ ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
    | ~ ( c3_1 @ a911 ) ),
    inference(split,[status(esa)],[zip_derived_cl1089]) ).

thf(zip_derived_cl497_111,plain,
    ( ( c0_1 @ a911 )
   <= ( c0_1 @ a911 ) ),
    inference(split,[status(esa)],[zip_derived_cl81]) ).

thf(zip_derived_cl271_112,plain,
    ( ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c0_1 @ X16 ) )
   <= ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c0_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl1090,plain,
    ( ( ( c2_1 @ a911 )
      | ( c3_1 @ a911 ) )
   <= ( ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ( c3_1 @ X16 )
          | ~ ( c0_1 @ X16 ) )
      & ( c0_1 @ a911 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl497,zip_derived_cl271]) ).

thf('154',plain,
    ( ( c3_1 @ a911 )
    | ~ ( c0_1 @ a911 )
    | ~ ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ( c3_1 @ X16 )
          | ~ ( c0_1 @ X16 ) )
    | ( c2_1 @ a911 ) ),
    inference(split,[status(esa)],[zip_derived_cl1090]) ).

thf(zip_derived_cl113,plain,
    ( ~ hskp21
    | ( c0_1 @ a938 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('155',plain,
    ( ( c0_1 @ a938 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl113]) ).

thf(zip_derived_cl114,plain,
    ( ~ hskp21
    | ~ ( c2_1 @ a938 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('156',plain,
    ( ~ ( c2_1 @ a938 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl114]) ).

thf(zip_derived_cl115,plain,
    ( ~ hskp21
    | ~ ( c3_1 @ a938 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('157',plain,
    ( ~ ( c3_1 @ a938 )
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl115]) ).

thf(zip_derived_cl561,plain,
    ( ( c0_1 @ a938 )
   <= ( c0_1 @ a938 ) ),
    inference(split,[status(esa)],[zip_derived_cl113]) ).

thf(zip_derived_cl271_113,plain,
    ( ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c0_1 @ X16 ) )
   <= ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c0_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl1186,plain,
    ( ( ( c2_1 @ a938 )
      | ( c3_1 @ a938 ) )
   <= ( ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ( c3_1 @ X16 )
          | ~ ( c0_1 @ X16 ) )
      & ( c0_1 @ a938 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl561,zip_derived_cl271]) ).

thf('158',plain,
    ( ~ ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ( c3_1 @ X16 )
          | ~ ( c0_1 @ X16 ) )
    | ~ ( c0_1 @ a938 )
    | ( c3_1 @ a938 )
    | ( c2_1 @ a938 ) ),
    inference(split,[status(esa)],[zip_derived_cl1186]) ).

thf(zip_derived_cl4793,plain,
    ( ( c0_1 @ a957 )
   <= ( c0_1 @ a957 ) ),
    inference(split,[status(esa)],[zip_derived_cl1469]) ).

thf(zip_derived_cl224_114,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl4795,plain,
    ( ( ~ ( c2_1 @ a957 )
      | ~ ( c3_1 @ a957 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c0_1 @ a957 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4793,zip_derived_cl224]) ).

thf('159',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c0_1 @ a957 )
    | ~ ( c3_1 @ a957 )
    | ~ ( c2_1 @ a957 ) ),
    inference(split,[status(esa)],[zip_derived_cl4795]) ).

thf(zip_derived_cl4793_115,plain,
    ( ( c0_1 @ a957 )
   <= ( c0_1 @ a957 ) ),
    inference(split,[status(esa)],[zip_derived_cl1469]) ).

thf(zip_derived_cl252_116,plain,
    ( ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c3_1 @ X9 ) )
   <= ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c3_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl4823,plain,
    ( ( ( c2_1 @ a957 )
      | ~ ( c3_1 @ a957 ) )
   <= ( ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
      & ( c0_1 @ a957 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4793,zip_derived_cl252]) ).

thf('160',plain,
    ( ~ ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
    | ~ ( c0_1 @ a957 )
    | ~ ( c3_1 @ a957 )
    | ( c2_1 @ a957 ) ),
    inference(split,[status(esa)],[zip_derived_cl4823]) ).

thf('161',plain,
    ( ( c1_1 @ a957 )
    | ~ hskp31 ),
    inference(split,[status(esa)],[zip_derived_cl73]) ).

thf(zip_derived_cl74,plain,
    ( ~ hskp31
    | ( c2_1 @ a957 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('162',plain,
    ( ( c2_1 @ a957 )
    | ~ hskp31 ),
    inference(split,[status(esa)],[zip_derived_cl74]) ).

thf(zip_derived_cl75,plain,
    ( ~ hskp31
    | ( c3_1 @ a957 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('163',plain,
    ( ( c3_1 @ a957 )
    | ~ hskp31 ),
    inference(split,[status(esa)],[zip_derived_cl75]) ).

thf(zip_derived_cl481_117,plain,
    ( ( c1_1 @ a957 )
   <= ( c1_1 @ a957 ) ),
    inference(split,[status(esa)],[zip_derived_cl73]) ).

thf(zip_derived_cl352_118,plain,
    ( ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ~ ( c1_1 @ X53 )
        | ~ ( c2_1 @ X53 ) )
   <= ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ~ ( c1_1 @ X53 )
        | ~ ( c2_1 @ X53 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl1515,plain,
    ( ( ( c0_1 @ a957 )
      | ~ ( c2_1 @ a957 ) )
   <= ( ! [X53: $i] :
          ( ( c0_1 @ X53 )
          | ~ ( c1_1 @ X53 )
          | ~ ( c2_1 @ X53 ) )
      & ( c1_1 @ a957 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl481,zip_derived_cl352]) ).

thf('164',plain,
    ( ( c0_1 @ a957 )
    | ~ ! [X53: $i] :
          ( ( c0_1 @ X53 )
          | ~ ( c1_1 @ X53 )
          | ~ ( c2_1 @ X53 ) )
    | ~ ( c1_1 @ a957 )
    | ~ ( c2_1 @ a957 ) ),
    inference(split,[status(esa)],[zip_derived_cl1515]) ).

thf(zip_derived_cl89,plain,
    ( ~ hskp27
    | ( c2_1 @ a978 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('165',plain,
    ( ( c2_1 @ a978 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl89]) ).

thf(zip_derived_cl90,plain,
    ( ~ hskp27
    | ( c3_1 @ a978 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('166',plain,
    ( ( c3_1 @ a978 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl90]) ).

thf(zip_derived_cl91,plain,
    ( ~ hskp27
    | ~ ( c0_1 @ a978 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('167',plain,
    ( ~ ( c0_1 @ a978 )
    | ~ hskp27 ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl339_119,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_cl37]) ).

thf(zip_derived_cl517,plain,
    ( ~ ( c0_1 @ a978 )
   <= ~ ( c0_1 @ a978 ) ),
    inference(split,[status(esa)],[zip_derived_cl91]) ).

thf(zip_derived_cl1671,plain,
    ( ( ~ ( c3_1 @ a978 )
      | ~ ( c2_1 @ a978 ) )
   <= ( ~ ( c0_1 @ a978 )
      & ! [X47: $i] :
          ( ( c0_1 @ X47 )
          | ~ ( c2_1 @ X47 )
          | ~ ( c3_1 @ X47 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl339,zip_derived_cl517]) ).

thf('168',plain,
    ( ~ ! [X47: $i] :
          ( ( c0_1 @ X47 )
          | ~ ( c2_1 @ X47 )
          | ~ ( c3_1 @ X47 ) )
    | ~ ( c2_1 @ a978 )
    | ( c0_1 @ a978 )
    | ~ ( c3_1 @ a978 ) ),
    inference(split,[status(esa)],[zip_derived_cl1671]) ).

thf(zip_derived_cl77,plain,
    ( ~ hskp30
    | ( c0_1 @ a919 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('169',plain,
    ( ( c0_1 @ a919 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl77]) ).

thf(zip_derived_cl79,plain,
    ( ~ hskp30
    | ( c2_1 @ a919 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('170',plain,
    ( ( c2_1 @ a919 )
    | ~ hskp30 ),
    inference(split,[status(esa)],[zip_derived_cl79]) ).

thf(zip_derived_cl489,plain,
    ( ( c0_1 @ a919 )
   <= ( c0_1 @ a919 ) ),
    inference(split,[status(esa)],[zip_derived_cl77]) ).

thf(zip_derived_cl224_120,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl1066,plain,
    ( ( ~ ( c2_1 @ a919 )
      | ~ ( c3_1 @ a919 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c0_1 @ a919 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl489,zip_derived_cl224]) ).

thf('171',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c3_1 @ a919 )
    | ~ ( c0_1 @ a919 )
    | ~ ( c2_1 @ a919 ) ),
    inference(split,[status(esa)],[zip_derived_cl1066]) ).

thf(zip_derived_cl489_121,plain,
    ( ( c0_1 @ a919 )
   <= ( c0_1 @ a919 ) ),
    inference(split,[status(esa)],[zip_derived_cl77]) ).

thf(zip_derived_cl228_122,plain,
    ( ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl1067,plain,
    ( ( ( c3_1 @ a919 )
      | ~ ( c2_1 @ a919 ) )
   <= ( ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 ) )
      & ( c0_1 @ a919 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl489,zip_derived_cl228]) ).

thf('172',plain,
    ( ( c3_1 @ a919 )
    | ~ ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 ) )
    | ~ ( c0_1 @ a919 )
    | ~ ( c2_1 @ a919 ) ),
    inference(split,[status(esa)],[zip_derived_cl1067]) ).

thf(zip_derived_cl85,plain,
    ( ~ hskp28
    | ( c0_1 @ a900 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('173',plain,
    ( ( c0_1 @ a900 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf(zip_derived_cl86,plain,
    ( ~ hskp28
    | ( c2_1 @ a900 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('174',plain,
    ( ( c2_1 @ a900 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl86]) ).

thf(zip_derived_cl87,plain,
    ( ~ hskp28
    | ( c3_1 @ a900 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('175',plain,
    ( ( c3_1 @ a900 )
    | ~ hskp28 ),
    inference(split,[status(esa)],[zip_derived_cl87]) ).

thf(zip_derived_cl505,plain,
    ( ( c0_1 @ a900 )
   <= ( c0_1 @ a900 ) ),
    inference(split,[status(esa)],[zip_derived_cl85]) ).

thf(zip_derived_cl224_123,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl1098,plain,
    ( ( ~ ( c2_1 @ a900 )
      | ~ ( c3_1 @ a900 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c0_1 @ a900 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl505,zip_derived_cl224]) ).

thf('176',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c0_1 @ a900 )
    | ~ ( c2_1 @ a900 )
    | ~ ( c3_1 @ a900 ) ),
    inference(split,[status(esa)],[zip_derived_cl1098]) ).

thf(zip_derived_cl601_124,plain,
    ( ( c1_1 @ a923 )
   <= ( c1_1 @ a923 ) ),
    inference(split,[status(esa)],[zip_derived_cl133]) ).

thf(zip_derived_cl352_125,plain,
    ( ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ~ ( c1_1 @ X53 )
        | ~ ( c2_1 @ X53 ) )
   <= ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ~ ( c1_1 @ X53 )
        | ~ ( c2_1 @ X53 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl1509,plain,
    ( ( ( c0_1 @ a923 )
      | ~ ( c2_1 @ a923 ) )
   <= ( ! [X53: $i] :
          ( ( c0_1 @ X53 )
          | ~ ( c1_1 @ X53 )
          | ~ ( c2_1 @ X53 ) )
      & ( c1_1 @ a923 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl601,zip_derived_cl352]) ).

thf('177',plain,
    ( ( c0_1 @ a923 )
    | ~ ( c2_1 @ a923 )
    | ~ ! [X53: $i] :
          ( ( c0_1 @ X53 )
          | ~ ( c1_1 @ X53 )
          | ~ ( c2_1 @ X53 ) )
    | ~ ( c1_1 @ a923 ) ),
    inference(split,[status(esa)],[zip_derived_cl1509]) ).

thf(zip_derived_cl553_126,plain,
    ( ( c1_1 @ a939 )
   <= ( c1_1 @ a939 ) ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf(zip_derived_cl415_127,plain,
    ( ! [X82: $i] :
        ( ( c0_1 @ X82 )
        | ( c2_1 @ X82 )
        | ~ ( c1_1 @ X82 ) )
   <= ! [X82: $i] :
        ( ( c0_1 @ X82 )
        | ( c2_1 @ X82 )
        | ~ ( c1_1 @ X82 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl56]) ).

thf(zip_derived_cl1792,plain,
    ( ( ( c0_1 @ a939 )
      | ( c2_1 @ a939 ) )
   <= ( ! [X82: $i] :
          ( ( c0_1 @ X82 )
          | ( c2_1 @ X82 )
          | ~ ( c1_1 @ X82 ) )
      & ( c1_1 @ a939 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl553,zip_derived_cl415]) ).

thf('178',plain,
    ( ( c2_1 @ a939 )
    | ( c0_1 @ a939 )
    | ~ ! [X82: $i] :
          ( ( c0_1 @ X82 )
          | ( c2_1 @ X82 )
          | ~ ( c1_1 @ X82 ) )
    | ~ ( c1_1 @ a939 ) ),
    inference(split,[status(esa)],[zip_derived_cl1792]) ).

thf(zip_derived_cl58,plain,
    ! [X85: $i,X86: $i] :
      ( ( c0_1 @ X85 )
      | ( c2_1 @ X85 )
      | ~ ( c1_1 @ X85 )
      | ~ ndr1_0
      | ( c3_1 @ X86 )
      | ~ ( c0_1 @ X86 )
      | ~ ( c1_1 @ X86 )
      | ~ ndr1_0
      | hskp29 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('179',plain,
    ( hskp29
    | ! [X82: $i] :
        ( ( c0_1 @ X82 )
        | ( c2_1 @ X82 )
        | ~ ( c1_1 @ X82 ) )
    | ~ ndr1_0
    | ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf('180',plain,
    ( hskp29
    | hskp15
    | ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ( c3_1 @ X29 )
        | ~ ( c2_1 @ X29 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl499_128,plain,
    ( ( c1_1 @ a911 )
   <= ( c1_1 @ a911 ) ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl319_129,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_cl32]) ).

thf(zip_derived_cl1097,plain,
    ( ( ~ ( c2_1 @ a911 )
      | ~ ( c3_1 @ a911 ) )
   <= ( ! [X38: $i] :
          ( ~ ( c1_1 @ X38 )
          | ~ ( c2_1 @ X38 )
          | ~ ( c3_1 @ X38 ) )
      & ( c1_1 @ a911 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl499,zip_derived_cl319]) ).

thf('181',plain,
    ( ~ ! [X38: $i] :
          ( ~ ( c1_1 @ X38 )
          | ~ ( c2_1 @ X38 )
          | ~ ( c3_1 @ X38 ) )
    | ~ ( c2_1 @ a911 )
    | ~ ( c1_1 @ a911 )
    | ~ ( c3_1 @ a911 ) ),
    inference(split,[status(esa)],[zip_derived_cl1097]) ).

thf('182',plain,
    ( ( c1_1 @ a911 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl83,plain,
    ( ~ hskp29
    | ( c3_1 @ a911 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('183',plain,
    ( ( c3_1 @ a911 )
    | ~ hskp29 ),
    inference(split,[status(esa)],[zip_derived_cl83]) ).

thf(zip_derived_cl499_130,plain,
    ( ( c1_1 @ a911 )
   <= ( c1_1 @ a911 ) ),
    inference(split,[status(esa)],[zip_derived_cl82]) ).

thf(zip_derived_cl244_131,plain,
    ( ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c1_1 @ X7 )
        | ~ ( c3_1 @ X7 ) )
   <= ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c1_1 @ X7 )
        | ~ ( c3_1 @ X7 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl1093,plain,
    ( ( ( c2_1 @ a911 )
      | ~ ( c3_1 @ a911 ) )
   <= ( ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c1_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
      & ( c1_1 @ a911 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl499,zip_derived_cl244]) ).

thf('184',plain,
    ( ( c2_1 @ a911 )
    | ~ ( c3_1 @ a911 )
    | ~ ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c1_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
    | ~ ( c1_1 @ a911 ) ),
    inference(split,[status(esa)],[zip_derived_cl1093]) ).

thf('185',plain,
    ( ! [X37: $i] :
        ( ( c1_1 @ X37 )
        | ( c2_1 @ X37 )
        | ~ ( c0_1 @ X37 ) )
    | hskp1
    | ~ ndr1_0
    | ! [X38: $i] :
        ( ~ ( c1_1 @ X38 )
        | ~ ( c2_1 @ X38 )
        | ~ ( c3_1 @ X38 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf('186',plain,
    ( ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c1_1 @ X7 )
        | ~ ( c3_1 @ X7 ) )
    | hskp13
    | hskp1
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf('187',plain,
    ( ( c2_1 @ a899 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl194]) ).

thf('188',plain,
    ( ( c1_1 @ a899 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl193]) ).

thf('189',plain,
    ( ~ ( c0_1 @ a899 )
    | ~ hskp1 ),
    inference(split,[status(esa)],[zip_derived_cl195]) ).

thf(zip_derived_cl721_132,plain,
    ( ( c1_1 @ a899 )
   <= ( c1_1 @ a899 ) ),
    inference(split,[status(esa)],[zip_derived_cl193]) ).

thf(zip_derived_cl352_133,plain,
    ( ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ~ ( c1_1 @ X53 )
        | ~ ( c2_1 @ X53 ) )
   <= ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ~ ( c1_1 @ X53 )
        | ~ ( c2_1 @ X53 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl1505,plain,
    ( ( ( c0_1 @ a899 )
      | ~ ( c2_1 @ a899 ) )
   <= ( ! [X53: $i] :
          ( ( c0_1 @ X53 )
          | ~ ( c1_1 @ X53 )
          | ~ ( c2_1 @ X53 ) )
      & ( c1_1 @ a899 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl721,zip_derived_cl352]) ).

thf('190',plain,
    ( ~ ! [X53: $i] :
          ( ( c0_1 @ X53 )
          | ~ ( c1_1 @ X53 )
          | ~ ( c2_1 @ X53 ) )
    | ~ ( c1_1 @ a899 )
    | ( c0_1 @ a899 )
    | ~ ( c2_1 @ a899 ) ),
    inference(split,[status(esa)],[zip_derived_cl1505]) ).

thf(zip_derived_cl320_134,plain,
    ( ! [X37: $i] :
        ( ( c1_1 @ X37 )
        | ( c2_1 @ X37 )
        | ~ ( c0_1 @ X37 ) )
   <= ! [X37: $i] :
        ( ( c1_1 @ X37 )
        | ( c2_1 @ X37 )
        | ~ ( c0_1 @ X37 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl635_135,plain,
    ( ~ ( c1_1 @ a913 )
   <= ~ ( c1_1 @ a913 ) ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf(zip_derived_cl1336,plain,
    ( ( ~ ( c0_1 @ a913 )
      | ( c2_1 @ a913 ) )
   <= ( ~ ( c1_1 @ a913 )
      & ! [X37: $i] :
          ( ( c1_1 @ X37 )
          | ( c2_1 @ X37 )
          | ~ ( c0_1 @ X37 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl320,zip_derived_cl635]) ).

thf('191',plain,
    ( ( c2_1 @ a913 )
    | ~ ! [X37: $i] :
          ( ( c1_1 @ X37 )
          | ( c2_1 @ X37 )
          | ~ ( c0_1 @ X37 ) )
    | ( c1_1 @ a913 )
    | ~ ( c0_1 @ a913 ) ),
    inference(split,[status(esa)],[zip_derived_cl1336]) ).

thf('192',plain,
    ( hskp18
    | ! [X20: $i] :
        ( ( c1_1 @ X20 )
        | ~ ( c0_1 @ X20 )
        | ~ ( c3_1 @ X20 ) )
    | ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c0_1 @ X16 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl42,plain,
    ! [X57: $i,X58: $i] :
      ( ( c0_1 @ X57 )
      | ~ ( c1_1 @ X57 )
      | ~ ( c2_1 @ X57 )
      | ~ ndr1_0
      | ( c2_1 @ X58 )
      | ( c3_1 @ X58 )
      | ~ ( c0_1 @ X58 )
      | ~ ndr1_0
      | hskp14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('193',plain,
    ( hskp14
    | ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ~ ( c1_1 @ X53 )
        | ~ ( c2_1 @ X53 ) )
    | ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c0_1 @ X16 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf(zip_derived_cl149,plain,
    ( ~ hskp12
    | ( c0_1 @ a913 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl633,plain,
    ( ( c0_1 @ a913 )
   <= ( c0_1 @ a913 ) ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl228_136,plain,
    ( ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl1309,plain,
    ( ( ( c3_1 @ a913 )
      | ~ ( c2_1 @ a913 ) )
   <= ( ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 ) )
      & ( c0_1 @ a913 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl633,zip_derived_cl228]) ).

thf('194',plain,
    ( ~ ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 ) )
    | ~ ( c2_1 @ a913 )
    | ( c3_1 @ a913 )
    | ~ ( c0_1 @ a913 ) ),
    inference(split,[status(esa)],[zip_derived_cl1309]) ).

thf(zip_derived_cl633_137,plain,
    ( ( c0_1 @ a913 )
   <= ( c0_1 @ a913 ) ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf(zip_derived_cl271_138,plain,
    ( ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c0_1 @ X16 ) )
   <= ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c0_1 @ X16 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl1311,plain,
    ( ( ( c2_1 @ a913 )
      | ( c3_1 @ a913 ) )
   <= ( ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ( c3_1 @ X16 )
          | ~ ( c0_1 @ X16 ) )
      & ( c0_1 @ a913 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl633,zip_derived_cl271]) ).

thf('195',plain,
    ( ~ ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ( c3_1 @ X16 )
          | ~ ( c0_1 @ X16 ) )
    | ~ ( c0_1 @ a913 )
    | ( c3_1 @ a913 )
    | ( c2_1 @ a913 ) ),
    inference(split,[status(esa)],[zip_derived_cl1311]) ).

thf('196',plain,
    ( ( c0_1 @ a913 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl149]) ).

thf('197',plain,
    ( ~ ( c1_1 @ a913 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf(zip_derived_cl151,plain,
    ( ~ hskp12
    | ~ ( c3_1 @ a913 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('198',plain,
    ( ~ ( c3_1 @ a913 )
    | ~ hskp12 ),
    inference(split,[status(esa)],[zip_derived_cl151]) ).

thf('199',plain,
    ( ! [X82: $i] :
        ( ( c0_1 @ X82 )
        | ( c2_1 @ X82 )
        | ~ ( c1_1 @ X82 ) )
    | hskp12
    | hskp13
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl56]) ).

thf(zip_derived_cl145,plain,
    ( ~ hskp13
    | ( c3_1 @ a914 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('200',plain,
    ( ( c3_1 @ a914 )
    | ~ hskp13 ),
    inference(split,[status(esa)],[zip_derived_cl145]) ).

thf('201',plain,
    ( ~ hskp13
    | ~ ( c1_1 @ a914 ) ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf(zip_derived_cl147,plain,
    ( ~ hskp13
    | ~ ( c2_1 @ a914 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('202',plain,
    ( ~ hskp13
    | ~ ( c2_1 @ a914 ) ),
    inference(split,[status(esa)],[zip_derived_cl147]) ).

thf(zip_derived_cl312_139,plain,
    ( ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c2_1 @ X33 )
        | ~ ( c3_1 @ X33 ) )
   <= ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c2_1 @ X33 )
        | ~ ( c3_1 @ X33 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf(zip_derived_cl627_140,plain,
    ( ~ ( c1_1 @ a914 )
   <= ~ ( c1_1 @ a914 ) ),
    inference(split,[status(esa)],[zip_derived_cl146]) ).

thf(zip_derived_cl1208,plain,
    ( ( ~ ( c3_1 @ a914 )
      | ( c2_1 @ a914 ) )
   <= ( ~ ( c1_1 @ a914 )
      & ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ( c2_1 @ X33 )
          | ~ ( c3_1 @ X33 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl312,zip_derived_cl627]) ).

thf('203',plain,
    ( ( c1_1 @ a914 )
    | ( c2_1 @ a914 )
    | ~ ! [X33: $i] :
          ( ( c1_1 @ X33 )
          | ( c2_1 @ X33 )
          | ~ ( c3_1 @ X33 ) )
    | ~ ( c3_1 @ a914 ) ),
    inference(split,[status(esa)],[zip_derived_cl1208]) ).

thf('204',plain,
    ( ! [X33: $i] :
        ( ( c1_1 @ X33 )
        | ( c2_1 @ X33 )
        | ~ ( c3_1 @ X33 ) )
    | hskp18
    | ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c1_1 @ X13 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl30]) ).

thf('205',plain,
    ( ( c0_1 @ a921 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf('206',plain,
    ( ( c1_1 @ a921 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf(zip_derived_cl139,plain,
    ( ~ hskp15
    | ~ ( c3_1 @ a921 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('207',plain,
    ( ~ ( c3_1 @ a921 )
    | ~ hskp15 ),
    inference(split,[status(esa)],[zip_derived_cl139]) ).

thf(zip_derived_cl611_141,plain,
    ( ( c1_1 @ a921 )
   <= ( c1_1 @ a921 ) ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf(zip_derived_cl236_142,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_cl11]) ).

thf(zip_derived_cl1292,plain,
    ( ( ( c3_1 @ a921 )
      | ~ ( c0_1 @ a921 ) )
   <= ( ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 ) )
      & ( c1_1 @ a921 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl611,zip_derived_cl236]) ).

thf('208',plain,
    ( ~ ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 ) )
    | ~ ( c1_1 @ a921 )
    | ( c3_1 @ a921 )
    | ~ ( c0_1 @ a921 ) ),
    inference(split,[status(esa)],[zip_derived_cl1292]) ).

thf(zip_derived_cl593_143,plain,
    ( ( c1_1 @ a928 )
   <= ( c1_1 @ a928 ) ),
    inference(split,[status(esa)],[zip_derived_cl129]) ).

thf(zip_derived_cl371_144,plain,
    ( ! [X61: $i] :
        ( ( c0_1 @ X61 )
        | ( c3_1 @ X61 )
        | ~ ( c1_1 @ X61 ) )
   <= ! [X61: $i] :
        ( ( c0_1 @ X61 )
        | ( c3_1 @ X61 )
        | ~ ( c1_1 @ X61 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl1743,plain,
    ( ( ( c0_1 @ a928 )
      | ( c3_1 @ a928 ) )
   <= ( ! [X61: $i] :
          ( ( c0_1 @ X61 )
          | ( c3_1 @ X61 )
          | ~ ( c1_1 @ X61 ) )
      & ( c1_1 @ a928 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl593,zip_derived_cl371]) ).

thf('209',plain,
    ( ( c0_1 @ a928 )
    | ~ ( c1_1 @ a928 )
    | ~ ! [X61: $i] :
          ( ( c0_1 @ X61 )
          | ( c3_1 @ X61 )
          | ~ ( c1_1 @ X61 ) )
    | ( c3_1 @ a928 ) ),
    inference(split,[status(esa)],[zip_derived_cl1743]) ).

thf('210',plain,
    ( ~ ( c1_1 @ a907 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl171]) ).

thf(zip_derived_cl25,plain,
    ! [X24: $i,X25: $i] :
      ( ( c1_1 @ X24 )
      | ~ ( c0_1 @ X24 )
      | ~ ( c2_1 @ X24 )
      | ~ ndr1_0
      | ( c2_1 @ X25 )
      | ~ ( c0_1 @ X25 )
      | ~ ( c1_1 @ X25 )
      | ~ ndr1_0
      | hskp7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('211',plain,
    ( hskp7
    | ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ~ ( c0_1 @ X22 )
        | ~ ( c2_1 @ X22 ) )
    | ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ~ ( c0_1 @ X12 )
        | ~ ( c1_1 @ X12 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl731_145,plain,
    ( ( c1_1 @ a898 )
   <= ( c1_1 @ a898 ) ),
    inference(split,[status(esa)],[zip_derived_cl198]) ).

thf(zip_derived_cl260_146,plain,
    ( ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ~ ( c0_1 @ X12 )
        | ~ ( c1_1 @ X12 ) )
   <= ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ~ ( c0_1 @ X12 )
        | ~ ( c1_1 @ X12 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl1427,plain,
    ( ( ( c2_1 @ a898 )
      | ~ ( c0_1 @ a898 ) )
   <= ( ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ~ ( c0_1 @ X12 )
          | ~ ( c1_1 @ X12 ) )
      & ( c1_1 @ a898 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl731,zip_derived_cl260]) ).

thf('212',plain,
    ( ~ ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ~ ( c0_1 @ X12 )
          | ~ ( c1_1 @ X12 ) )
    | ~ ( c1_1 @ a898 )
    | ( c2_1 @ a898 )
    | ~ ( c0_1 @ a898 ) ),
    inference(split,[status(esa)],[zip_derived_cl1427]) ).

thf('213',plain,
    ( ( c0_1 @ a898 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl197]) ).

thf('214',plain,
    ( ( c1_1 @ a898 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl198]) ).

thf(zip_derived_cl199,plain,
    ( ~ hskp0
    | ~ ( c2_1 @ a898 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('215',plain,
    ( ~ ( c2_1 @ a898 )
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl199]) ).

thf(zip_derived_cl66,plain,
    ! [X101: $i,X102: $i] :
      ( ( c0_1 @ X101 )
      | ( c1_1 @ X101 )
      | ~ ( c3_1 @ X101 )
      | ~ ndr1_0
      | ( c1_1 @ X102 )
      | ~ ( c0_1 @ X102 )
      | ~ ( c2_1 @ X102 )
      | ~ ndr1_0
      | hskp3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('216',plain,
    ( hskp3
    | ! [X97: $i] :
        ( ( c0_1 @ X97 )
        | ( c1_1 @ X97 )
        | ~ ( c3_1 @ X97 ) )
    | ~ ndr1_0
    | ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ~ ( c0_1 @ X22 )
        | ~ ( c2_1 @ X22 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl66]) ).

thf('217',plain,
    ( hskp23
    | ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ~ ( c0_1 @ X22 )
        | ~ ( c2_1 @ X22 ) )
    | ~ ndr1_0
    | ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl16,plain,
    ! [X10: $i,X11: $i] :
      ( ( c2_1 @ X10 )
      | ~ ( c0_1 @ X10 )
      | ~ ( c3_1 @ X10 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X11 )
      | ~ ( c2_1 @ X11 )
      | ~ ( c3_1 @ X11 )
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('218',plain,
    ( hskp0
    | ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c3_1 @ X9 ) )
    | ~ ndr1_0
    | ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl125,plain,
    ( ~ hskp18
    | ( c0_1 @ a929 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl585,plain,
    ( ( c0_1 @ a929 )
   <= ( c0_1 @ a929 ) ),
    inference(split,[status(esa)],[zip_derived_cl125]) ).

thf(zip_derived_cl224_147,plain,
    ( ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl1239,plain,
    ( ( ~ ( c2_1 @ a929 )
      | ~ ( c3_1 @ a929 ) )
   <= ( ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
      & ( c0_1 @ a929 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl585,zip_derived_cl224]) ).

thf('219',plain,
    ( ~ ! [X0: $i] :
          ( ~ ( c0_1 @ X0 )
          | ~ ( c2_1 @ X0 )
          | ~ ( c3_1 @ X0 ) )
    | ~ ( c3_1 @ a929 )
    | ~ ( c0_1 @ a929 )
    | ~ ( c2_1 @ a929 ) ),
    inference(split,[status(esa)],[zip_derived_cl1239]) ).

thf(zip_derived_cl585_148,plain,
    ( ( c0_1 @ a929 )
   <= ( c0_1 @ a929 ) ),
    inference(split,[status(esa)],[zip_derived_cl125]) ).

thf(zip_derived_cl228_149,plain,
    ( ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl1240,plain,
    ( ( ( c3_1 @ a929 )
      | ~ ( c2_1 @ a929 ) )
   <= ( ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 ) )
      & ( c0_1 @ a929 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl585,zip_derived_cl228]) ).

thf('220',plain,
    ( ( c3_1 @ a929 )
    | ~ ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 ) )
    | ~ ( c0_1 @ a929 )
    | ~ ( c2_1 @ a929 ) ),
    inference(split,[status(esa)],[zip_derived_cl1240]) ).

thf('221',plain,
    ( ~ ( c1_1 @ a929 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl288_150,plain,
    ( ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ~ ( c0_1 @ X22 )
        | ~ ( c2_1 @ X22 ) )
   <= ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ~ ( c0_1 @ X22 )
        | ~ ( c2_1 @ X22 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl589_151,plain,
    ( ~ ( c1_1 @ a929 )
   <= ~ ( c1_1 @ a929 ) ),
    inference(split,[status(esa)],[zip_derived_cl127]) ).

thf(zip_derived_cl927,plain,
    ( ( ~ ( c2_1 @ a929 )
      | ~ ( c0_1 @ a929 ) )
   <= ( ~ ( c1_1 @ a929 )
      & ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ~ ( c0_1 @ X22 )
          | ~ ( c2_1 @ X22 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl288,zip_derived_cl589]) ).

thf('222',plain,
    ( ~ ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ~ ( c0_1 @ X22 )
          | ~ ( c2_1 @ X22 ) )
    | ~ ( c0_1 @ a929 )
    | ( c1_1 @ a929 )
    | ~ ( c2_1 @ a929 ) ),
    inference(split,[status(esa)],[zip_derived_cl927]) ).

thf('223',plain,
    ( ( c0_1 @ a929 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl125]) ).

thf(zip_derived_cl126,plain,
    ( ~ hskp18
    | ( c2_1 @ a929 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('224',plain,
    ( ( c2_1 @ a929 )
    | ~ hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl126]) ).

thf(zip_derived_cl105,plain,
    ( ~ hskp23
    | ( c0_1 @ a950 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('225',plain,
    ( ( c0_1 @ a950 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl105]) ).

thf(zip_derived_cl106,plain,
    ( ~ hskp23
    | ( c3_1 @ a950 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('226',plain,
    ( ( c3_1 @ a950 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl106]) ).

thf(zip_derived_cl107,plain,
    ( ~ hskp23
    | ~ ( c2_1 @ a950 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('227',plain,
    ( ~ ( c2_1 @ a950 )
    | ~ hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl107]) ).

thf(zip_derived_cl545,plain,
    ( ( c0_1 @ a950 )
   <= ( c0_1 @ a950 ) ),
    inference(split,[status(esa)],[zip_derived_cl105]) ).

thf(zip_derived_cl252_152,plain,
    ( ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c3_1 @ X9 ) )
   <= ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c3_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl1174,plain,
    ( ( ( c2_1 @ a950 )
      | ~ ( c3_1 @ a950 ) )
   <= ( ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
      & ( c0_1 @ a950 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl545,zip_derived_cl252]) ).

thf('228',plain,
    ( ~ ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
    | ~ ( c0_1 @ a950 )
    | ~ ( c3_1 @ a950 )
    | ( c2_1 @ a950 ) ),
    inference(split,[status(esa)],[zip_derived_cl1174]) ).

thf(zip_derived_cl186,plain,
    ( ~ hskp3
    | ( c2_1 @ a903 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('229',plain,
    ( ( c2_1 @ a903 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl186]) ).

thf(zip_derived_cl185,plain,
    ( ~ hskp3
    | ( c0_1 @ a903 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('230',plain,
    ( ( c0_1 @ a903 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl185]) ).

thf(zip_derived_cl187,plain,
    ( ~ hskp3
    | ~ ( c3_1 @ a903 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('231',plain,
    ( ~ ( c3_1 @ a903 )
    | ~ hskp3 ),
    inference(split,[status(esa)],[zip_derived_cl187]) ).

thf(zip_derived_cl705,plain,
    ( ( c0_1 @ a903 )
   <= ( c0_1 @ a903 ) ),
    inference(split,[status(esa)],[zip_derived_cl185]) ).

thf(zip_derived_cl228_153,plain,
    ( ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 ) )
   <= ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl1400,plain,
    ( ( ( c3_1 @ a903 )
      | ~ ( c2_1 @ a903 ) )
   <= ( ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 ) )
      & ( c0_1 @ a903 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl705,zip_derived_cl228]) ).

thf('232',plain,
    ( ~ ! [X1: $i] :
          ( ( c3_1 @ X1 )
          | ~ ( c0_1 @ X1 )
          | ~ ( c2_1 @ X1 ) )
    | ~ ( c0_1 @ a903 )
    | ( c3_1 @ a903 )
    | ~ ( c2_1 @ a903 ) ),
    inference(split,[status(esa)],[zip_derived_cl1400]) ).

thf(zip_derived_cl689_154,plain,
    ( ( c1_1 @ a905 )
   <= ( c1_1 @ a905 ) ),
    inference(split,[status(esa)],[zip_derived_cl177]) ).

thf(zip_derived_cl352_155,plain,
    ( ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ~ ( c1_1 @ X53 )
        | ~ ( c2_1 @ X53 ) )
   <= ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ~ ( c1_1 @ X53 )
        | ~ ( c2_1 @ X53 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl40]) ).

thf(zip_derived_cl1506,plain,
    ( ( ( c0_1 @ a905 )
      | ~ ( c2_1 @ a905 ) )
   <= ( ! [X53: $i] :
          ( ( c0_1 @ X53 )
          | ~ ( c1_1 @ X53 )
          | ~ ( c2_1 @ X53 ) )
      & ( c1_1 @ a905 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl689,zip_derived_cl352]) ).

thf('233',plain,
    ( ~ ! [X53: $i] :
          ( ( c0_1 @ X53 )
          | ~ ( c1_1 @ X53 )
          | ~ ( c2_1 @ X53 ) )
    | ~ ( c2_1 @ a905 )
    | ~ ( c1_1 @ a905 )
    | ( c0_1 @ a905 ) ),
    inference(split,[status(esa)],[zip_derived_cl1506]) ).

thf(zip_derived_cl339_156,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_cl37]) ).

thf(zip_derived_cl170,plain,
    ( ~ hskp7
    | ~ ( c0_1 @ a907 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl675,plain,
    ( ~ ( c0_1 @ a907 )
   <= ~ ( c0_1 @ a907 ) ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl1653,plain,
    ( ( ~ ( c3_1 @ a907 )
      | ~ ( c2_1 @ a907 ) )
   <= ( ~ ( c0_1 @ a907 )
      & ! [X47: $i] :
          ( ( c0_1 @ X47 )
          | ~ ( c2_1 @ X47 )
          | ~ ( c3_1 @ X47 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl339,zip_derived_cl675]) ).

thf('234',plain,
    ( ~ ! [X47: $i] :
          ( ( c0_1 @ X47 )
          | ~ ( c2_1 @ X47 )
          | ~ ( c3_1 @ X47 ) )
    | ~ ( c2_1 @ a907 )
    | ( c0_1 @ a907 )
    | ~ ( c3_1 @ a907 ) ),
    inference(split,[status(esa)],[zip_derived_cl1653]) ).

thf(zip_derived_cl332_157,plain,
    ( ! [X43: $i] :
        ( ( c1_1 @ X43 )
        | ( c2_1 @ X43 )
        | ( c3_1 @ X43 ) )
   <= ! [X43: $i] :
        ( ( c1_1 @ X43 )
        | ( c2_1 @ X43 )
        | ( c3_1 @ X43 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf(zip_derived_cl98,plain,
    ( ~ hskp25
    | ~ ( c1_1 @ a958 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl531,plain,
    ( ~ ( c1_1 @ a958 )
   <= ~ ( c1_1 @ a958 ) ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf(zip_derived_cl1551,plain,
    ( ( ( c3_1 @ a958 )
      | ( c2_1 @ a958 ) )
   <= ( ~ ( c1_1 @ a958 )
      & ! [X43: $i] :
          ( ( c1_1 @ X43 )
          | ( c2_1 @ X43 )
          | ( c3_1 @ X43 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl332,zip_derived_cl531]) ).

thf('235',plain,
    ( ( c2_1 @ a958 )
    | ~ ! [X43: $i] :
          ( ( c1_1 @ X43 )
          | ( c2_1 @ X43 )
          | ( c3_1 @ X43 ) )
    | ( c3_1 @ a958 )
    | ( c1_1 @ a958 ) ),
    inference(split,[status(esa)],[zip_derived_cl1551]) ).

thf(zip_derived_cl379_158,plain,
    ( ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ( c2_1 @ X65 )
        | ~ ( c3_1 @ X65 ) )
   <= ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ( c2_1 @ X65 )
        | ~ ( c3_1 @ X65 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(zip_derived_cl675_159,plain,
    ( ~ ( c0_1 @ a907 )
   <= ~ ( c0_1 @ a907 ) ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf(zip_derived_cl1901,plain,
    ( ( ~ ( c3_1 @ a907 )
      | ( c2_1 @ a907 ) )
   <= ( ~ ( c0_1 @ a907 )
      & ! [X65: $i] :
          ( ( c0_1 @ X65 )
          | ( c2_1 @ X65 )
          | ~ ( c3_1 @ X65 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl379,zip_derived_cl675]) ).

thf('236',plain,
    ( ( c2_1 @ a907 )
    | ~ ( c3_1 @ a907 )
    | ~ ! [X65: $i] :
          ( ( c0_1 @ X65 )
          | ( c2_1 @ X65 )
          | ~ ( c3_1 @ X65 ) )
    | ( c0_1 @ a907 ) ),
    inference(split,[status(esa)],[zip_derived_cl1901]) ).

thf(zip_derived_cl299_160,plain,
    ( ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ( c3_1 @ X29 )
        | ~ ( c2_1 @ X29 ) )
   <= ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ( c3_1 @ X29 )
        | ~ ( c2_1 @ X29 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl531_161,plain,
    ( ~ ( c1_1 @ a958 )
   <= ~ ( c1_1 @ a958 ) ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf(zip_derived_cl1027,plain,
    ( ( ~ ( c2_1 @ a958 )
      | ( c3_1 @ a958 ) )
   <= ( ~ ( c1_1 @ a958 )
      & ! [X29: $i] :
          ( ( c1_1 @ X29 )
          | ( c3_1 @ X29 )
          | ~ ( c2_1 @ X29 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl299,zip_derived_cl531]) ).

thf('237',plain,
    ( ~ ! [X29: $i] :
          ( ( c1_1 @ X29 )
          | ( c3_1 @ X29 )
          | ~ ( c2_1 @ X29 ) )
    | ~ ( c2_1 @ a958 )
    | ( c1_1 @ a958 )
    | ( c3_1 @ a958 ) ),
    inference(split,[status(esa)],[zip_derived_cl1027]) ).

thf(zip_derived_cl169,plain,
    ( ~ hskp7
    | ( c3_1 @ a907 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('238',plain,
    ( ( c3_1 @ a907 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl169]) ).

thf('239',plain,
    ( ~ ( c0_1 @ a907 )
    | ~ hskp7 ),
    inference(split,[status(esa)],[zip_derived_cl170]) ).

thf('240',plain,
    ( ~ ( c1_1 @ a958 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf(zip_derived_cl99,plain,
    ( ~ hskp25
    | ~ ( c3_1 @ a958 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('241',plain,
    ( ~ ( c3_1 @ a958 )
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl99]) ).

thf('242',plain,
    ( hskp7
    | hskp4
    | ! [X61: $i] :
        ( ( c0_1 @ X61 )
        | ( c3_1 @ X61 )
        | ~ ( c1_1 @ X61 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf('243',plain,
    ( hskp25
    | ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c1_1 @ X13 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl96,plain,
    ( ~ hskp25
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('244',plain,
    ( ndr1_0
    | ~ hskp25 ),
    inference(split,[status(esa)],[zip_derived_cl96]) ).

thf(zip_derived_cl112,plain,
    ( ~ hskp21
    | ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('245',plain,
    ( ndr1_0
    | ~ hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl112]) ).

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

thf('246',plain,
    ( ndr1_0
    | ~ hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl196]) ).

thf(zip_derived_cl5,plain,
    ( hskp0
    | hskp21
    | hskp25 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('247',plain,
    ( hskp25
    | hskp21
    | hskp0 ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl649_162,plain,
    ( ( c1_1 @ a910 )
   <= ( c1_1 @ a910 ) ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl371_163,plain,
    ( ! [X61: $i] :
        ( ( c0_1 @ X61 )
        | ( c3_1 @ X61 )
        | ~ ( c1_1 @ X61 ) )
   <= ! [X61: $i] :
        ( ( c0_1 @ X61 )
        | ( c3_1 @ X61 )
        | ~ ( c1_1 @ X61 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl45]) ).

thf(zip_derived_cl1740,plain,
    ( ( ( c0_1 @ a910 )
      | ( c3_1 @ a910 ) )
   <= ( ! [X61: $i] :
          ( ( c0_1 @ X61 )
          | ( c3_1 @ X61 )
          | ~ ( c1_1 @ X61 ) )
      & ( c1_1 @ a910 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl649,zip_derived_cl371]) ).

thf('248',plain,
    ( ( c3_1 @ a910 )
    | ( c0_1 @ a910 )
    | ~ ! [X61: $i] :
          ( ( c0_1 @ X61 )
          | ( c3_1 @ X61 )
          | ~ ( c1_1 @ X61 ) )
    | ~ ( c1_1 @ a910 ) ),
    inference(split,[status(esa)],[zip_derived_cl1740]) ).

thf(zip_derived_cl649_164,plain,
    ( ( c1_1 @ a910 )
   <= ( c1_1 @ a910 ) ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl415_165,plain,
    ( ! [X82: $i] :
        ( ( c0_1 @ X82 )
        | ( c2_1 @ X82 )
        | ~ ( c1_1 @ X82 ) )
   <= ! [X82: $i] :
        ( ( c0_1 @ X82 )
        | ( c2_1 @ X82 )
        | ~ ( c1_1 @ X82 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl56]) ).

thf(zip_derived_cl1788,plain,
    ( ( ( c0_1 @ a910 )
      | ( c2_1 @ a910 ) )
   <= ( ! [X82: $i] :
          ( ( c0_1 @ X82 )
          | ( c2_1 @ X82 )
          | ~ ( c1_1 @ X82 ) )
      & ( c1_1 @ a910 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl649,zip_derived_cl415]) ).

thf('249',plain,
    ( ( c0_1 @ a910 )
    | ~ ( c1_1 @ a910 )
    | ~ ! [X82: $i] :
          ( ( c0_1 @ X82 )
          | ( c2_1 @ X82 )
          | ~ ( c1_1 @ X82 ) )
    | ( c2_1 @ a910 ) ),
    inference(split,[status(esa)],[zip_derived_cl1788]) ).

thf(zip_derived_cl649_166,plain,
    ( ( c1_1 @ a910 )
   <= ( c1_1 @ a910 ) ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl264_167,plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c1_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c1_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl1367,plain,
    ( ( ( c2_1 @ a910 )
      | ( c3_1 @ a910 ) )
   <= ( ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ( c3_1 @ X13 )
          | ~ ( c1_1 @ X13 ) )
      & ( c1_1 @ a910 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl649,zip_derived_cl264]) ).

thf('250',plain,
    ( ~ ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ( c3_1 @ X13 )
          | ~ ( c1_1 @ X13 ) )
    | ( c3_1 @ a910 )
    | ( c2_1 @ a910 )
    | ~ ( c1_1 @ a910 ) ),
    inference(split,[status(esa)],[zip_derived_cl1367]) ).

thf(zip_derived_cl379_168,plain,
    ( ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ( c2_1 @ X65 )
        | ~ ( c3_1 @ X65 ) )
   <= ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ( c2_1 @ X65 )
        | ~ ( c3_1 @ X65 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl47]) ).

thf(zip_derived_cl158,plain,
    ( ~ hskp10
    | ~ ( c0_1 @ a910 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl651,plain,
    ( ~ ( c0_1 @ a910 )
   <= ~ ( c0_1 @ a910 ) ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl1904,plain,
    ( ( ~ ( c3_1 @ a910 )
      | ( c2_1 @ a910 ) )
   <= ( ~ ( c0_1 @ a910 )
      & ! [X65: $i] :
          ( ( c0_1 @ X65 )
          | ( c2_1 @ X65 )
          | ~ ( c3_1 @ X65 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl379,zip_derived_cl651]) ).

thf('251',plain,
    ( ( c0_1 @ a910 )
    | ~ ( c3_1 @ a910 )
    | ~ ! [X65: $i] :
          ( ( c0_1 @ X65 )
          | ( c2_1 @ X65 )
          | ~ ( c3_1 @ X65 ) )
    | ( c2_1 @ a910 ) ),
    inference(split,[status(esa)],[zip_derived_cl1904]) ).

thf('252',plain,
    ( ( c1_1 @ a910 )
    | ~ hskp10 ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf('253',plain,
    ( ~ hskp10
    | ~ ( c0_1 @ a910 ) ),
    inference(split,[status(esa)],[zip_derived_cl158]) ).

thf(zip_derived_cl159,plain,
    ( ~ hskp10
    | ~ ( c2_1 @ a910 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('254',plain,
    ( ~ hskp10
    | ~ ( c2_1 @ a910 ) ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf(zip_derived_cl60,plain,
    ! [X89: $i,X90: $i,X91: $i] :
      ( ( c0_1 @ X89 )
      | ( c2_1 @ X89 )
      | ~ ( c1_1 @ X89 )
      | ~ ndr1_0
      | ( c0_1 @ X90 )
      | ~ ( c2_1 @ X90 )
      | ~ ( c3_1 @ X90 )
      | ~ ndr1_0
      | ( c1_1 @ X91 )
      | ( c2_1 @ X91 )
      | ( c3_1 @ X91 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('255',plain,
    ( ! [X82: $i] :
        ( ( c0_1 @ X82 )
        | ( c2_1 @ X82 )
        | ~ ( c1_1 @ X82 ) )
    | ! [X43: $i] :
        ( ( c1_1 @ X43 )
        | ( c2_1 @ X43 )
        | ( c3_1 @ X43 ) )
    | ~ ndr1_0
    | ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c2_1 @ X47 )
        | ~ ( c3_1 @ X47 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl60]) ).

thf(zip_derived_cl460,plain,
    ( ! [X103: $i] :
        ( ( c0_1 @ X103 )
        | ( c1_1 @ X103 )
        | ~ ( c2_1 @ X103 ) )
   <= ! [X103: $i] :
        ( ( c0_1 @ X103 )
        | ( c1_1 @ X103 )
        | ~ ( c2_1 @ X103 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl67]) ).

thf(zip_derived_cl677_169,plain,
    ( ~ ( c1_1 @ a907 )
   <= ~ ( c1_1 @ a907 ) ),
    inference(split,[status(esa)],[zip_derived_cl171]) ).

thf(zip_derived_cl2054,plain,
    ( ( ~ ( c2_1 @ a907 )
      | ( c0_1 @ a907 ) )
   <= ( ~ ( c1_1 @ a907 )
      & ! [X103: $i] :
          ( ( c0_1 @ X103 )
          | ( c1_1 @ X103 )
          | ~ ( c2_1 @ X103 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl460,zip_derived_cl677]) ).

thf('256',plain,
    ( ~ ! [X103: $i] :
          ( ( c0_1 @ X103 )
          | ( c1_1 @ X103 )
          | ~ ( c2_1 @ X103 ) )
    | ~ ( c2_1 @ a907 )
    | ( c0_1 @ a907 )
    | ( c1_1 @ a907 ) ),
    inference(split,[status(esa)],[zip_derived_cl2054]) ).

thf(zip_derived_cl142,plain,
    ( ~ hskp14
    | ( c3_1 @ a918 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('257',plain,
    ( ( c3_1 @ a918 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl142]) ).

thf('258',plain,
    ( ( c0_1 @ a918 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl141]) ).

thf('259',plain,
    ( ~ ( c1_1 @ a918 )
    | ~ hskp14 ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(zip_derived_cl284_170,plain,
    ( ! [X20: $i] :
        ( ( c1_1 @ X20 )
        | ~ ( c0_1 @ X20 )
        | ~ ( c3_1 @ X20 ) )
   <= ! [X20: $i] :
        ( ( c1_1 @ X20 )
        | ~ ( c0_1 @ X20 )
        | ~ ( c3_1 @ X20 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl621_171,plain,
    ( ~ ( c1_1 @ a918 )
   <= ~ ( c1_1 @ a918 ) ),
    inference(split,[status(esa)],[zip_derived_cl143]) ).

thf(zip_derived_cl878,plain,
    ( ( ~ ( c3_1 @ a918 )
      | ~ ( c0_1 @ a918 ) )
   <= ( ~ ( c1_1 @ a918 )
      & ! [X20: $i] :
          ( ( c1_1 @ X20 )
          | ~ ( c0_1 @ X20 )
          | ~ ( c3_1 @ X20 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl284,zip_derived_cl621]) ).

thf('260',plain,
    ( ~ ! [X20: $i] :
          ( ( c1_1 @ X20 )
          | ~ ( c0_1 @ X20 )
          | ~ ( c3_1 @ X20 ) )
    | ~ ( c0_1 @ a918 )
    | ( c1_1 @ a918 )
    | ~ ( c3_1 @ a918 ) ),
    inference(split,[status(esa)],[zip_derived_cl878]) ).

thf(zip_derived_cl181,plain,
    ( ~ hskp4
    | ( c2_1 @ a904 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('261',plain,
    ( ( c2_1 @ a904 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl181]) ).

thf(zip_derived_cl182,plain,
    ( ~ hskp4
    | ~ ( c1_1 @ a904 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('262',plain,
    ( ~ ( c1_1 @ a904 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf(zip_derived_cl183,plain,
    ( ~ hskp4
    | ~ ( c3_1 @ a904 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('263',plain,
    ( ~ ( c3_1 @ a904 )
    | ~ hskp4 ),
    inference(split,[status(esa)],[zip_derived_cl183]) ).

thf(zip_derived_cl299_172,plain,
    ( ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ( c3_1 @ X29 )
        | ~ ( c2_1 @ X29 ) )
   <= ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ( c3_1 @ X29 )
        | ~ ( c2_1 @ X29 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl27]) ).

thf(zip_derived_cl699,plain,
    ( ~ ( c1_1 @ a904 )
   <= ~ ( c1_1 @ a904 ) ),
    inference(split,[status(esa)],[zip_derived_cl182]) ).

thf(zip_derived_cl1017,plain,
    ( ( ~ ( c2_1 @ a904 )
      | ( c3_1 @ a904 ) )
   <= ( ~ ( c1_1 @ a904 )
      & ! [X29: $i] :
          ( ( c1_1 @ X29 )
          | ( c3_1 @ X29 )
          | ~ ( c2_1 @ X29 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl299,zip_derived_cl699]) ).

thf('264',plain,
    ( ~ ! [X29: $i] :
          ( ( c1_1 @ X29 )
          | ( c3_1 @ X29 )
          | ~ ( c2_1 @ X29 ) )
    | ( c1_1 @ a904 )
    | ( c3_1 @ a904 )
    | ~ ( c2_1 @ a904 ) ),
    inference(split,[status(esa)],[zip_derived_cl1017]) ).

thf(zip_derived_cl443_173,plain,
    ( ! [X97: $i] :
        ( ( c0_1 @ X97 )
        | ( c1_1 @ X97 )
        | ~ ( c3_1 @ X97 ) )
   <= ! [X97: $i] :
        ( ( c0_1 @ X97 )
        | ( c1_1 @ X97 )
        | ~ ( c3_1 @ X97 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl63]) ).

thf(zip_derived_cl677_174,plain,
    ( ~ ( c1_1 @ a907 )
   <= ~ ( c1_1 @ a907 ) ),
    inference(split,[status(esa)],[zip_derived_cl171]) ).

thf(zip_derived_cl1998,plain,
    ( ( ~ ( c3_1 @ a907 )
      | ( c0_1 @ a907 ) )
   <= ( ~ ( c1_1 @ a907 )
      & ! [X97: $i] :
          ( ( c0_1 @ X97 )
          | ( c1_1 @ X97 )
          | ~ ( c3_1 @ X97 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl443,zip_derived_cl677]) ).

thf('265',plain,
    ( ~ ! [X97: $i] :
          ( ( c0_1 @ X97 )
          | ( c1_1 @ X97 )
          | ~ ( c3_1 @ X97 ) )
    | ~ ( c3_1 @ a907 )
    | ( c1_1 @ a907 )
    | ( c0_1 @ a907 ) ),
    inference(split,[status(esa)],[zip_derived_cl1998]) ).

thf(zip_derived_cl71,plain,
    ! [X110: $i,X111: $i,X112: $i] :
      ( ( c0_1 @ X110 )
      | ( c1_1 @ X110 )
      | ( c2_1 @ X110 )
      | ~ ndr1_0
      | ( c1_1 @ X111 )
      | ( c3_1 @ X111 )
      | ~ ( c2_1 @ X111 )
      | ~ ndr1_0
      | ~ ( c0_1 @ X112 )
      | ~ ( c2_1 @ X112 )
      | ~ ( c3_1 @ X112 )
      | ~ ndr1_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('266',plain,
    ( ! [X109: $i] :
        ( ( c0_1 @ X109 )
        | ( c1_1 @ X109 )
        | ( c2_1 @ X109 ) )
    | ! [X29: $i] :
        ( ( c1_1 @ X29 )
        | ( c3_1 @ X29 )
        | ~ ( c2_1 @ X29 ) )
    | ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl71]) ).

thf('267',plain,
    ! [X109: $i] :
      ( ( c0_1 @ X109 )
      | ( c1_1 @ X109 )
      | ( c2_1 @ X109 ) ),
    inference('sat_resolution*',[status(thm)],['1','2','3','4','5','6','7','8','9','10','11','12','13','14','15','16','17','18','19','20','21','22','23','24','25','26','27','28','29','30','31','32','33','34','35','36','37','38','39','40','41','42','43','44','45','46','47','48','49','50','51','52','53','54','55','56','57','58','59','60','61','62','63','64','65','66','67','68','69','70','71','72','73','74','75','76','77','78','79','80','81','82','83','84','85','86','87','88','89','90','91','92','93','94','95','96','97','98','99','100','101','102','103','104','105','106','107','108','109','110','111','112','113','114','115','116','117','118','119','120','121','122','123','124','125','126','127','128','129','130','131','132','133','134','135','136','137','138','139','140','141','142','143','144','145','146','147','148','149','150','151','152','153','154','155','156','157','158','159','160','161','162','163','164','165','166','167','168','169','170','171','172','173','174','175','176','177','178','179','180','181','182','183','184','185','186','187','188','189','190','191','192','193','194','195','196','197','198','199','200','201','202','203','204','205','206','207','208','209','210','211','212','213','214','215','216','217','218','219','220','221','222','223','224','225','226','227','228','229','230','231','232','233','234','235','236','237','238','239','240','241','242','243','244','245','246','247','248','249','250','251','252','253','254','255','256','257','258','259','260','261','262','263','264','265','266']) ).

thf(zip_derived_cl6936,plain,
    ( ! [X0: $i] :
        ( ( c0_1 @ X0 )
        | ( c2_1 @ X0 ) )
   <= ! [X82: $i] :
        ( ( c0_1 @ X82 )
        | ( c2_1 @ X82 )
        | ~ ( c1_1 @ X82 ) ) ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl2255,'267']) ).

thf(zip_derived_cl189,plain,
    ( ~ hskp2
    | ~ ( c0_1 @ a901 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl713,plain,
    ( ~ ( c0_1 @ a901 )
   <= ~ ( c0_1 @ a901 ) ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf(zip_derived_cl7043,plain,
    ( ( c2_1 @ a901 )
   <= ( ~ ( c0_1 @ a901 )
      & ! [X82: $i] :
          ( ( c0_1 @ X82 )
          | ( c2_1 @ X82 )
          | ~ ( c1_1 @ X82 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6936,zip_derived_cl713]) ).

thf(zip_derived_cl190,plain,
    ( ~ hskp2
    | ~ ( c2_1 @ a901 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl715,plain,
    ( ~ ( c2_1 @ a901 )
   <= ~ ( c2_1 @ a901 ) ),
    inference(split,[status(esa)],[zip_derived_cl190]) ).

thf('268',plain,
    ( ~ ! [X82: $i] :
          ( ( c0_1 @ X82 )
          | ( c2_1 @ X82 )
          | ~ ( c1_1 @ X82 ) )
    | ( c0_1 @ a901 )
    | ( c2_1 @ a901 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl7043,zip_derived_cl715]) ).

thf('269',plain,
    ( ~ ( c0_1 @ a901 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl189]) ).

thf('270',plain,
    ( ~ ( c2_1 @ a901 )
    | ~ hskp2 ),
    inference(split,[status(esa)],[zip_derived_cl190]) ).

thf('271',plain,
    ( hskp2
    | hskp13
    | ~ ndr1_0
    | ! [X0: $i] :
        ( ~ ( c0_1 @ X0 )
        | ~ ( c2_1 @ X0 )
        | ~ ( c3_1 @ X0 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl649_175,plain,
    ( ( c1_1 @ a910 )
   <= ( c1_1 @ a910 ) ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl244_176,plain,
    ( ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c1_1 @ X7 )
        | ~ ( c3_1 @ X7 ) )
   <= ! [X7: $i] :
        ( ( c2_1 @ X7 )
        | ~ ( c1_1 @ X7 )
        | ~ ( c3_1 @ X7 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13]) ).

thf(zip_derived_cl1365,plain,
    ( ( ( c2_1 @ a910 )
      | ~ ( c3_1 @ a910 ) )
   <= ( ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c1_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
      & ( c1_1 @ a910 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl649,zip_derived_cl244]) ).

thf('272',plain,
    ( ( c2_1 @ a910 )
    | ~ ( c3_1 @ a910 )
    | ~ ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c1_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
    | ~ ( c1_1 @ a910 ) ),
    inference(split,[status(esa)],[zip_derived_cl1365]) ).

thf(zip_derived_cl731_177,plain,
    ( ( c1_1 @ a898 )
   <= ( c1_1 @ a898 ) ),
    inference(split,[status(esa)],[zip_derived_cl198]) ).

thf(zip_derived_cl264_178,plain,
    ( ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c1_1 @ X13 ) )
   <= ! [X13: $i] :
        ( ( c2_1 @ X13 )
        | ( c3_1 @ X13 )
        | ~ ( c1_1 @ X13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl1428,plain,
    ( ( ( c2_1 @ a898 )
      | ( c3_1 @ a898 ) )
   <= ( ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ( c3_1 @ X13 )
          | ~ ( c1_1 @ X13 ) )
      & ( c1_1 @ a898 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl731,zip_derived_cl264]) ).

thf('273',plain,
    ( ~ ! [X13: $i] :
          ( ( c2_1 @ X13 )
          | ( c3_1 @ X13 )
          | ~ ( c1_1 @ X13 ) )
    | ( c3_1 @ a898 )
    | ~ ( c1_1 @ a898 )
    | ( c2_1 @ a898 ) ),
    inference(split,[status(esa)],[zip_derived_cl1428]) ).

thf(zip_derived_cl460_179,plain,
    ( ! [X103: $i] :
        ( ( c0_1 @ X103 )
        | ( c1_1 @ X103 )
        | ~ ( c2_1 @ X103 ) )
   <= ! [X103: $i] :
        ( ( c0_1 @ X103 )
        | ( c1_1 @ X103 )
        | ~ ( c2_1 @ X103 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl67]) ).

thf(zip_derived_cl581_180,plain,
    ( ~ ( c1_1 @ a930 )
   <= ~ ( c1_1 @ a930 ) ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl2061,plain,
    ( ( ~ ( c2_1 @ a930 )
      | ( c0_1 @ a930 ) )
   <= ( ~ ( c1_1 @ a930 )
      & ! [X103: $i] :
          ( ( c0_1 @ X103 )
          | ( c1_1 @ X103 )
          | ~ ( c2_1 @ X103 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl460,zip_derived_cl581]) ).

thf('274',plain,
    ( ~ ! [X103: $i] :
          ( ( c0_1 @ X103 )
          | ( c1_1 @ X103 )
          | ~ ( c2_1 @ X103 ) )
    | ~ ( c2_1 @ a930 )
    | ( c1_1 @ a930 )
    | ( c0_1 @ a930 ) ),
    inference(split,[status(esa)],[zip_derived_cl2061]) ).

thf(zip_derived_cl288_181,plain,
    ( ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ~ ( c0_1 @ X22 )
        | ~ ( c2_1 @ X22 ) )
   <= ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ~ ( c0_1 @ X22 )
        | ~ ( c2_1 @ X22 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf(zip_derived_cl635_182,plain,
    ( ~ ( c1_1 @ a913 )
   <= ~ ( c1_1 @ a913 ) ),
    inference(split,[status(esa)],[zip_derived_cl150]) ).

thf(zip_derived_cl924,plain,
    ( ( ~ ( c2_1 @ a913 )
      | ~ ( c0_1 @ a913 ) )
   <= ( ~ ( c1_1 @ a913 )
      & ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ~ ( c0_1 @ X22 )
          | ~ ( c2_1 @ X22 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl288,zip_derived_cl635]) ).

thf('275',plain,
    ( ~ ( c2_1 @ a913 )
    | ~ ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ~ ( c0_1 @ X22 )
          | ~ ( c2_1 @ X22 ) )
    | ( c1_1 @ a913 )
    | ~ ( c0_1 @ a913 ) ),
    inference(split,[status(esa)],[zip_derived_cl924]) ).

thf('276',plain,
    ( ~ ( c2_1 @ a939 )
    | ( c3_1 @ a939 )
    | ~ ! [X69: $i] :
          ( ( c3_1 @ X69 )
          | ~ ( c1_1 @ X69 )
          | ~ ( c2_1 @ X69 ) )
    | ~ ( c1_1 @ a939 ) ),
    inference(split,[status(esa)],[zip_derived_cl1596]) ).

thf('277',plain,
    ( ~ ( c1_1 @ a912 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl153]) ).

thf('278',plain,
    ( ~ ( c2_1 @ a912 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl154]) ).

thf('279',plain,
    ( ~ ( c3_1 @ a912 )
    | ~ hskp11 ),
    inference(split,[status(esa)],[zip_derived_cl155]) ).

thf('280',plain,
    ( hskp11
    | ! [X19: $i] :
        ( ~ ( c0_1 @ X19 )
        | ~ ( c1_1 @ X19 )
        | ~ ( c3_1 @ X19 ) )
    | ~ ndr1_0
    | ! [X82: $i] :
        ( ( c0_1 @ X82 )
        | ( c2_1 @ X82 )
        | ~ ( c1_1 @ X82 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf('281',plain,
    ( ( c3_1 @ a919 )
    | ~ ( c2_1 @ a919 )
    | ~ ! [X69: $i] :
          ( ( c3_1 @ X69 )
          | ~ ( c1_1 @ X69 )
          | ~ ( c2_1 @ X69 ) )
    | ~ ( c1_1 @ a919 ) ),
    inference(split,[status(esa)],[zip_derived_cl1599]) ).

thf('282',plain,
    ( ~ ( c0_1 @ a906 )
    | ( c1_1 @ a906 )
    | ~ ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ~ ( c0_1 @ X22 )
          | ~ ( c2_1 @ X22 ) )
    | ~ ( c2_1 @ a906 ) ),
    inference(split,[status(esa)],[zip_derived_cl920]) ).

thf('283',plain,
    ( ~ ( c3_1 @ a898 )
    | ~ ( c1_1 @ a898 )
    | ~ ! [X7: $i] :
          ( ( c2_1 @ X7 )
          | ~ ( c1_1 @ X7 )
          | ~ ( c3_1 @ X7 ) )
    | ( c2_1 @ a898 ) ),
    inference(split,[status(esa)],[zip_derived_cl1426]) ).

thf('284',plain,
    ( hskp15
    | hskp19
    | hskp22 ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf('285',plain,
    ( ~ ( c3_1 @ a953 )
    | ~ ( c0_1 @ a953 )
    | ~ ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
    | ( c2_1 @ a953 ) ),
    inference(split,[status(esa)],[zip_derived_cl4780]) ).

thf('286',plain,
    ( ~ ( c2_1 @ a911 )
    | ~ ( c1_1 @ a911 )
    | ~ ! [X38: $i] :
          ( ~ ( c1_1 @ X38 )
          | ~ ( c2_1 @ X38 )
          | ~ ( c3_1 @ X38 ) )
    | ~ ( c3_1 @ a911 ) ),
    inference(split,[status(esa)],[zip_derived_cl1097]) ).

thf('287',plain,
    ( ! [X38: $i] :
        ( ~ ( c1_1 @ X38 )
        | ~ ( c2_1 @ X38 )
        | ~ ( c3_1 @ X38 ) )
    | hskp1
    | ~ ndr1_0
    | ! [X37: $i] :
        ( ( c1_1 @ X37 )
        | ( c2_1 @ X37 )
        | ~ ( c0_1 @ X37 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf('288',plain,
    ( ~ ! [X37: $i] :
          ( ( c1_1 @ X37 )
          | ( c2_1 @ X37 )
          | ~ ( c0_1 @ X37 ) )
    | ( c2_1 @ a913 )
    | ( c1_1 @ a913 )
    | ~ ( c0_1 @ a913 ) ),
    inference(split,[status(esa)],[zip_derived_cl1336]) ).

thf('289',plain,
    ( ~ ( c2_1 @ a905 )
    | ~ ( c1_1 @ a905 )
    | ~ ! [X53: $i] :
          ( ( c0_1 @ X53 )
          | ~ ( c1_1 @ X53 )
          | ~ ( c2_1 @ X53 ) )
    | ( c0_1 @ a905 ) ),
    inference(split,[status(esa)],[zip_derived_cl1506]) ).

thf('290',plain,
    ( hskp22
    | ! [X37: $i] :
        ( ( c1_1 @ X37 )
        | ( c2_1 @ X37 )
        | ~ ( c0_1 @ X37 ) )
    | ~ ndr1_0
    | ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c3_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl33]) ).

thf('291',plain,
    ( hskp5
    | hskp15
    | ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ( c2_1 @ X65 )
        | ~ ( c3_1 @ X65 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl48]) ).

thf('292',plain,
    ( hskp4
    | ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 ) )
    | ~ ndr1_0
    | ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ( c2_1 @ X65 )
        | ~ ( c3_1 @ X65 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf('293',plain,
    ( ~ ( c3_1 @ a899 )
    | ~ ( c1_1 @ a899 )
    | ~ ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ~ ( c1_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
    | ( c0_1 @ a899 ) ),
    inference(split,[status(esa)],[zip_derived_cl1459]) ).

thf('294',plain,
    ( ~ ( c1_1 @ a905 )
    | ( c0_1 @ a905 )
    | ~ ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ~ ( c1_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
    | ~ ( c3_1 @ a905 ) ),
    inference(split,[status(esa)],[zip_derived_cl1460]) ).

thf('295',plain,
    ( ~ ( c0_1 @ a923 )
    | ( c3_1 @ a923 )
    | ~ ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 ) )
    | ~ ( c1_1 @ a923 ) ),
    inference(split,[status(esa)],[zip_derived_cl1269]) ).

thf('296',plain,
    ( ( c3_1 @ a909 )
    | ( c2_1 @ a909 )
    | ~ ! [X43: $i] :
          ( ( c1_1 @ X43 )
          | ( c2_1 @ X43 )
          | ( c3_1 @ X43 ) )
    | ( c1_1 @ a909 ) ),
    inference(split,[status(esa)],[zip_derived_cl1544]) ).

thf('297',plain,
    ( ! [X3: $i] :
        ( ~ ( c0_1 @ X3 )
        | ~ ( c1_1 @ X3 )
        | ~ ( c2_1 @ X3 ) )
    | hskp21
    | ! [X43: $i] :
        ( ( c1_1 @ X43 )
        | ( c2_1 @ X43 )
        | ( c3_1 @ X43 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl35]) ).

thf('298',plain,
    ( ~ ( c1_1 @ a923 )
    | ( c3_1 @ a923 )
    | ~ ! [X69: $i] :
          ( ( c3_1 @ X69 )
          | ~ ( c1_1 @ X69 )
          | ~ ( c2_1 @ X69 ) )
    | ~ ( c2_1 @ a923 ) ),
    inference(split,[status(esa)],[zip_derived_cl1594]) ).

thf('299',plain,
    ( ! [X69: $i] :
        ( ( c3_1 @ X69 )
        | ~ ( c1_1 @ X69 )
        | ~ ( c2_1 @ X69 ) )
    | hskp14
    | ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ( c2_1 @ X65 )
        | ~ ( c3_1 @ X65 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl50]) ).

thf('300',plain,
    ( ! [X50: $i] :
        ( ( c0_1 @ X50 )
        | ~ ( c1_1 @ X50 )
        | ~ ( c3_1 @ X50 ) )
    | hskp14
    | ~ ndr1_0
    | ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl39]) ).

thf('301',plain,
    ( ~ ( c0_1 @ a918 )
    | ~ ( c3_1 @ a918 )
    | ~ ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
    | ( c2_1 @ a918 ) ),
    inference(split,[status(esa)],[zip_derived_cl1300]) ).

thf('302',plain,
    ( ! [X20: $i] :
        ( ( c1_1 @ X20 )
        | ~ ( c0_1 @ X20 )
        | ~ ( c3_1 @ X20 ) )
    | hskp18
    | ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c0_1 @ X16 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf('303',plain,
    ( ~ ( c0_1 @ a928 )
    | ~ ( c1_1 @ a928 )
    | ~ ! [X12: $i] :
          ( ( c2_1 @ X12 )
          | ~ ( c0_1 @ X12 )
          | ~ ( c1_1 @ X12 ) )
    | ( c2_1 @ a928 ) ),
    inference(split,[status(esa)],[zip_derived_cl1264]) ).

thf('304',plain,
    ( hskp17
    | hskp0
    | ~ ndr1_0
    | ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ( c3_1 @ X59 )
        | ~ ( c2_1 @ X59 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl44]) ).

thf('305',plain,
    ( hskp19
    | ! [X59: $i] :
        ( ( c0_1 @ X59 )
        | ( c3_1 @ X59 )
        | ~ ( c2_1 @ X59 ) )
    | ~ ndr1_0
    | hskp18 ),
    inference(split,[status(esa)],[zip_derived_cl43]) ).

thf('306',plain,
    ( ~ ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ( c3_1 @ X16 )
          | ~ ( c0_1 @ X16 ) )
    | ( c2_1 @ a913 )
    | ( c3_1 @ a913 )
    | ~ ( c0_1 @ a913 ) ),
    inference(split,[status(esa)],[zip_derived_cl1311]) ).

thf('307',plain,
    ( ( c0_1 @ a957 )
    | ~ ( c3_1 @ a957 )
    | ~ ! [X50: $i] :
          ( ( c0_1 @ X50 )
          | ~ ( c1_1 @ X50 )
          | ~ ( c3_1 @ X50 ) )
    | ~ ( c1_1 @ a957 ) ),
    inference(split,[status(esa)],[zip_derived_cl1469]) ).

thf('308',plain,
    ( ~ ! [X43: $i] :
          ( ( c1_1 @ X43 )
          | ( c2_1 @ X43 )
          | ( c3_1 @ X43 ) )
    | ( c2_1 @ a913 )
    | ( c3_1 @ a913 )
    | ( c1_1 @ a913 ) ),
    inference(split,[status(esa)],[zip_derived_cl1546]) ).

thf('309',plain,
    ( hskp12
    | ! [X82: $i] :
        ( ( c0_1 @ X82 )
        | ( c2_1 @ X82 )
        | ~ ( c1_1 @ X82 ) )
    | hskp13
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl56]) ).

thf('310',plain,
    ( ~ ( c0_1 @ a928 )
    | ~ ( c1_1 @ a928 )
    | ~ ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 ) )
    | ( c3_1 @ a928 ) ),
    inference(split,[status(esa)],[zip_derived_cl1262]) ).

thf('311',plain,
    ( ! [X82: $i] :
        ( ( c0_1 @ X82 )
        | ( c2_1 @ X82 )
        | ~ ( c1_1 @ X82 ) )
    | hskp10
    | ~ ndr1_0
    | ! [X43: $i] :
        ( ( c1_1 @ X43 )
        | ( c2_1 @ X43 )
        | ( c3_1 @ X43 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf('312',plain,
    ( ~ ( c1_1 @ a921 )
    | ( c3_1 @ a921 )
    | ~ ! [X4: $i] :
          ( ( c3_1 @ X4 )
          | ~ ( c0_1 @ X4 )
          | ~ ( c1_1 @ X4 ) )
    | ~ ( c0_1 @ a921 ) ),
    inference(split,[status(esa)],[zip_derived_cl1292]) ).

thf('313',plain,
    ( ! [X103: $i] :
        ( ( c0_1 @ X103 )
        | ( c1_1 @ X103 )
        | ~ ( c2_1 @ X103 ) )
    | hskp1
    | ~ ndr1_0
    | ! [X4: $i] :
        ( ( c3_1 @ X4 )
        | ~ ( c0_1 @ X4 )
        | ~ ( c1_1 @ X4 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl67]) ).

thf('314',plain,
    ( ( c2_1 @ a907 )
    | ~ ! [X65: $i] :
          ( ( c0_1 @ X65 )
          | ( c2_1 @ X65 )
          | ~ ( c3_1 @ X65 ) )
    | ~ ( c3_1 @ a907 )
    | ( c0_1 @ a907 ) ),
    inference(split,[status(esa)],[zip_derived_cl1901]) ).

thf('315',plain,
    ( hskp30
    | hskp1
    | ~ ndr1_0
    | ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ( c2_1 @ X65 )
        | ~ ( c3_1 @ X65 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl49]) ).

thf('316',plain,
    ( ! [X82: $i] :
        ( ( c0_1 @ X82 )
        | ( c2_1 @ X82 )
        | ~ ( c1_1 @ X82 ) )
    | ! [X47: $i] :
        ( ( c0_1 @ X47 )
        | ~ ( c2_1 @ X47 )
        | ~ ( c3_1 @ X47 ) )
    | ~ ndr1_0
    | ! [X43: $i] :
        ( ( c1_1 @ X43 )
        | ( c2_1 @ X43 )
        | ( c3_1 @ X43 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl60]) ).

thf('317',plain,
    ( ~ ( c2_1 @ a939 )
    | ~ ( c1_1 @ a939 )
    | ~ ! [X53: $i] :
          ( ( c0_1 @ X53 )
          | ~ ( c1_1 @ X53 )
          | ~ ( c2_1 @ X53 ) )
    | ( c0_1 @ a939 ) ),
    inference(split,[status(esa)],[zip_derived_cl1511]) ).

thf('318',plain,
    ( hskp26
    | hskp22
    | hskp23 ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf('319',plain,
    ( ~ ( c3_1 @ a898 )
    | ~ ( c0_1 @ a898 )
    | ~ ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
    | ( c2_1 @ a898 ) ),
    inference(split,[status(esa)],[zip_derived_cl1422]) ).

thf('320',plain,
    ( ~ ( c3_1 @ a969 )
    | ~ ( c0_1 @ a969 )
    | ~ ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
    | ( c2_1 @ a969 ) ),
    inference(split,[status(esa)],[zip_derived_cl1151]) ).

thf('321',plain,
    ( ~ ( c0_1 @ a921 )
    | ( c3_1 @ a921 )
    | ~ ! [X16: $i] :
          ( ( c2_1 @ X16 )
          | ( c3_1 @ X16 )
          | ~ ( c0_1 @ X16 ) )
    | ( c2_1 @ a921 ) ),
    inference(split,[status(esa)],[zip_derived_cl1278]) ).

thf('322',plain,
    ( ~ ( c0_1 @ a957 )
    | ~ ! [X9: $i] :
          ( ( c2_1 @ X9 )
          | ~ ( c0_1 @ X9 )
          | ~ ( c3_1 @ X9 ) )
    | ~ ( c3_1 @ a957 )
    | ( c2_1 @ a957 ) ),
    inference(split,[status(esa)],[zip_derived_cl4823]) ).

thf('323',plain,
    ( ( c0_1 @ a957 )
    | ~ ( c1_1 @ a957 )
    | ~ ! [X53: $i] :
          ( ( c0_1 @ X53 )
          | ~ ( c1_1 @ X53 )
          | ~ ( c2_1 @ X53 ) )
    | ~ ( c2_1 @ a957 ) ),
    inference(split,[status(esa)],[zip_derived_cl1515]) ).

thf('324',plain,
    ( hskp7
    | ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ~ ( c0_1 @ X12 )
        | ~ ( c1_1 @ X12 ) )
    | ! [X22: $i] :
        ( ( c1_1 @ X22 )
        | ~ ( c0_1 @ X22 )
        | ~ ( c2_1 @ X22 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf('325',plain,
    ( hskp12
    | ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ( c2_1 @ X65 )
        | ~ ( c3_1 @ X65 ) )
    | ! [X1: $i] :
        ( ( c3_1 @ X1 )
        | ~ ( c0_1 @ X1 )
        | ~ ( c2_1 @ X1 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl51]) ).

thf('326',plain,
    ( ~ ( c0_1 @ a929 )
    | ( c1_1 @ a929 )
    | ~ ! [X22: $i] :
          ( ( c1_1 @ X22 )
          | ~ ( c0_1 @ X22 )
          | ~ ( c2_1 @ X22 ) )
    | ~ ( c2_1 @ a929 ) ),
    inference(split,[status(esa)],[zip_derived_cl927]) ).

thf('327',plain,
    ( ~ ( c3_1 @ a919 )
    | ~ ( c1_1 @ a919 )
    | ~ ( c2_1 @ a919 )
    | ~ ! [X38: $i] :
          ( ~ ( c1_1 @ X38 )
          | ~ ( c2_1 @ X38 )
          | ~ ( c3_1 @ X38 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl1076]) ).

thf('328',plain,
    ( hskp25
    | hskp0
    | hskp21 ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf('329',plain,
    ( ! [X20: $i] :
        ( ( c1_1 @ X20 )
        | ~ ( c0_1 @ X20 )
        | ~ ( c3_1 @ X20 ) )
    | ! [X12: $i] :
        ( ( c2_1 @ X12 )
        | ~ ( c0_1 @ X12 )
        | ~ ( c1_1 @ X12 ) )
    | ~ ndr1_0
    | ! [X65: $i] :
        ( ( c0_1 @ X65 )
        | ( c2_1 @ X65 )
        | ~ ( c3_1 @ X65 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf('330',plain,
    ( ~ ( c0_1 @ a918 )
    | ( c1_1 @ a918 )
    | ~ ! [X20: $i] :
          ( ( c1_1 @ X20 )
          | ~ ( c0_1 @ X20 )
          | ~ ( c3_1 @ X20 ) )
    | ~ ( c3_1 @ a918 ) ),
    inference(split,[status(esa)],[zip_derived_cl878]) ).

thf('331',plain,
    ( ! [X53: $i] :
        ( ( c0_1 @ X53 )
        | ~ ( c1_1 @ X53 )
        | ~ ( c2_1 @ X53 ) )
    | hskp14
    | ! [X16: $i] :
        ( ( c2_1 @ X16 )
        | ( c3_1 @ X16 )
        | ~ ( c0_1 @ X16 ) )
    | ~ ndr1_0 ),
    inference(split,[status(esa)],[zip_derived_cl42]) ).

thf('332',plain,
    ( ~ ( c1_1 @ a899 )
    | ( c0_1 @ a899 )
    | ~ ! [X53: $i] :
          ( ( c0_1 @ X53 )
          | ~ ( c1_1 @ X53 )
          | ~ ( c2_1 @ X53 ) )
    | ~ ( c2_1 @ a899 ) ),
    inference(split,[status(esa)],[zip_derived_cl1505]) ).

thf('333',plain,
    ( hskp1
    | hskp5
    | ~ ndr1_0
    | ! [X9: $i] :
        ( ( c2_1 @ X9 )
        | ~ ( c0_1 @ X9 )
        | ~ ( c3_1 @ X9 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl15]) ).

thf(zip_derived_cl7307,plain,
    $false,
    inference('sat_resolution*',[status(thm)],['0','268','269','270','271','272','273','274','275','276','2','3','4','5','6','7','277','278','279','280','12','281','15','16','282','18','283','20','21','23','24','25','26','27','284','29','285','286','287','288','209','289','30','32','290','34','35','36','37','38','39','40','41','42','43','44','45','291','47','292','49','50','51','52','293','55','56','57','294','59','60','61','62','63','65','66','67','68','69','295','71','72','296','74','75','76','77','297','79','298','81','82','83','84','85','86','87','179','89','299','300','301','93','302','303','95','304','97','98','99','100','101','102','234','242','243','248','103','104','105','106','107','108','305','261','262','263','264','306','307','308','194','184','197','198','186','309','200','201','202','203','204','112','249','250','251','252','253','254','113','114','115','116','117','118','119','310','121','122','123','124','311','182','183','126','206','207','312','127','313','129','314','130','315','316','237','178','317','240','241','133','134','318','136','180','137','205','138','139','140','141','319','143','144','320','146','147','148','149','321','151','152','153','154','155','156','157','158','235','159','322','161','162','163','323','165','166','167','168','169','170','171','172','238','239','210','324','216','219','220','229','230','231','232','265','256','173','174','175','176','177','22','325','196','223','224','221','326','327','218','217','244','245','246','328','225','226','227','228','213','214','215','212','329','257','258','259','330','331','187','188','189','332','333']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SYN474+1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.11  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Q4oiyrIVaJ true
% 0.10/0.32  % Computer : n014.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit : 300
% 0.10/0.32  % WCLimit  : 300
% 0.10/0.32  % DateTime : Sat Aug 26 18:42:02 EDT 2023
% 0.10/0.32  % CPUTime  : 
% 0.10/0.32  % Running portfolio for 300 s
% 0.10/0.32  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.32  % Number of cores: 8
% 0.10/0.32  % Python version: Python 3.6.8
% 0.10/0.32  % Running in FO mode
% 0.18/0.61  % Total configuration time : 435
% 0.18/0.61  % Estimated wc time : 1092
% 0.18/0.61  % Estimated cpu time (7 cpus) : 156.0
% 0.18/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.18/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.18/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.18/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.18/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.18/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.18/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 9.88/1.99  % Solved by fo/fo1_av.sh.
% 9.88/1.99  % done 1964 iterations in 1.178s
% 9.88/1.99  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 9.88/1.99  % SZS output start Refutation
% See solution above
% 9.88/2.00  
% 9.88/2.00  
% 9.88/2.00  % Terminating...
% 10.55/2.13  % Runner terminated.
% 10.55/2.15  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------